output.txt

####################################################################################################
parsed: Oplus (ConstN 3) (ConstN 5)
====================================================================================================
.    ---- dd<42,137> --->
|    Query:[ [3|_|5] @ Nothing ]
|      *** algebraic operation *** : nondeterministic choice
+-.    ---- dd<42,137> --->
| |    Query:[ [3]|_|5 @ * ]
| |      h; k_3; h
| |    [ [3]|_|5 @ * ]:Answer
| |    ---- dd<42,3> --->
| |  [ [3|_|5] @ Just (Left (*)) ]:Answer
| |  ---- dd<42,3> --->
| Result: 3 / State: Just (Left (*))
`-.    ---- dd<42,137> --->
  |    Query:[ 3|_|[5] @ * ]
  |      h; k_5; h
  |    [ 3|_|[5] @ * ]:Answer
  |    ---- dd<42,5> --->
  |  [ [3|_|5] @ Just (Right (*)) ]:Answer
  |  ---- dd<42,5> --->
  Result: 5 / State: Just (Right (*))
####################################################################################################
parsed: Apply (Abst "x" (Variable "x")) (ConstN 1)
====================================================================================================
---- dd<42,137> --->
Query:[ [(\x.x) 1] @ ({_: *}, *) ]
  phi
  ---- gdd<42,137> --->
  Query:[ [\x.x] 1 @ {_: *} ]
    h
  [ [\x.x] 1 @ {_: *} ]:Answer
  ---- dgdd<42,137> --->
  psi; psi; phi
  ---- gdd<42,137> --->
  Query:[ (\x.x) [1] @ * ]
    h
  [ (\x.x) [1] @ * ]:Answer
  ---- dgdd<42,137> --->
  psi; e; phi; phi
  ---- dd<0,gdd<42,137>> --->
  Query:[ [\x.x] 1 @ {_: *} ]
    h; v
    0 {
      psi
      ---- dd<42,137> --->
      Query:[ (\x.[x]) 1 @ * ]
        h
      [ (\x.[x]) 1 @ * ]:Query x
      ---- <42,137> --->
      phi
    } 0
    u; h
  [ [\x.x] 1 @ {_: *} ]:Answer
  ---- dd<0,d<42,137>> --->
  psi; psi; e'; phi
  ---- dd<42,137> --->
  Query:[ (\x.x) [1] @ * ]
    h; k_1; h
  [ (\x.x) [1] @ * ]:Answer
  ---- dd<42,1> --->
  psi; e; phi; phi
  ---- dd<0,d<42,1>> --->
  Query:[ [\x.x] 1 @ {_: *} ]
    h; v
    0 {
      psi
      ---- <42,1> --->
      Answer x:[ (\x.[x]) 1 @ * ]
        h
      [ (\x.[x]) 1 @ * ]:Answer
      ---- dd<42,1> --->
      phi
    } 0
    u; h
  [ [\x.x] 1 @ {_: *} ]:Answer
  ---- dd<0,gdd<42,1>> --->
  psi; psi; e'; phi
  ---- dgdd<42,1> --->
  Query:[ (\x.x) [1] @ * ]
    h
  [ (\x.x) [1] @ * ]:Answer
  ---- gdd<42,1> --->
  psi; phi; phi
  ---- dgdd<42,1> --->
  Query:[ [\x.x] 1 @ {_: *} ]
    h
  [ [\x.x] 1 @ {_: *} ]:Answer
  ---- gdd<42,1> --->
  psi
[ [(\x.x) 1] @ ({_: *}, *) ]:Answer
---- dd<42,1> --->
Result: 1 / State: ({_: *}, *)
####################################################################################################
parsed: Apply (Apply (Abst "l" (Abst "r" (Sum "l" "r"))) (Apply (Apply (Abst "l" (Abst "r" (Sum "l" "r"))) (ConstN 3)) (ConstN 4))) (ConstN 5)
====================================================================================================
---- dd<42,137> --->
Query:[ [(\l.\r.l+r) ((\l.\r.l+r) 3 4) 5] @ (({_: {_: *}}, (({_: {_: *}}, *), *)), *) ]
  phi
  ---- gdd<42,137> --->
  Query:[ [(\l.\r.l+r) ((\l.\r.l+r) 3 4)] 5 @ ({_: {_: *}}, (({_: {_: *}}, *), *)) ]
    phi
    ---- ggdd<42,137> --->
    Query:[ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]
      h
    [ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]:Answer
    ---- dggdd<42,137> --->
    psi; psi; phi
    ---- ggdd<42,137> --->
    Query:[ (\l.\r.l+r) [(\l.\r.l+r) 3 4] 5 @ (({_: {_: *}}, *), *) ]
      phi
      ---- gggdd<42,137> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- ggggdd<42,137> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dggggdd<42,137> --->
        psi; psi; phi
        ---- ggggdd<42,137> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dggggdd<42,137> --->
        psi; e; phi; phi
        ---- dd<0,ggggdd<42,137>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- gggdd<42,137> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- dgggdd<42,137> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,gdgggdd<42,137>> --->
        psi; psi; e'; phi
        ---- dgdgggdd<42,137> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- gdgggdd<42,137> --->
        psi; phi; phi
        ---- dgdgggdd<42,137> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- gdgggdd<42,137> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- dgggdd<42,137> --->
      psi; psi; phi
      ---- gggdd<42,137> --->
      Query:[ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]
        h
      [ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]:Answer
      ---- dgggdd<42,137> --->
      psi; e; phi; phi
      ---- dd<0,gggdd<42,137>> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- gdd<0,gggdd<42,137>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dgdd<0,gggdd<42,137>> --->
        psi; psi; phi
        ---- gdd<0,gggdd<42,137>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dgdd<0,gggdd<42,137>> --->
        psi; e; phi; phi
        ---- dd<0,gdd<0,gggdd<42,137>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- dd<0,gggdd<42,137>> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h; v
              0 {
                psi
                ---- ggdd<42,137> --->
                Query:[ (\l.\r.l+r) ((\l.\r.[l+r]) 3 4) 5 @ * ]
                  h
                [ (\l.\r.l+r) ((\l.\r.[l+r]) 3 4) 5 @ * ]:Answer
                ---- dggdd<42,137> --->
                phi
              } 0
              u; h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- dd<0,gdggdd<42,137>> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,gdd<0,gdggdd<42,137>>> --->
        psi; psi; e'; phi
        ---- dgdd<0,gdggdd<42,137>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- gdd<0,gdggdd<42,137>> --->
        psi; phi; phi
        ---- dgdd<0,gdggdd<42,137>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- gdd<0,gdggdd<42,137>> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- dd<0,gdggdd<42,137>> --->
      psi; psi; e'; phi
      ---- dgdggdd<42,137> --->
      Query:[ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]
        h
      [ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]:Answer
      ---- gdggdd<42,137> --->
      psi; phi; phi
      ---- dgdggdd<42,137> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- gdgdggdd<42,137> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dgdgdggdd<42,137> --->
        psi; psi; phi
        ---- gdgdggdd<42,137> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dgdgdggdd<42,137> --->
        psi; e; phi; phi
        ---- dd<0,gdgdggdd<42,137>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- dgdggdd<42,137> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- gdggdd<42,137> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,ggdggdd<42,137>> --->
        psi; psi; e'; phi
        ---- dggdggdd<42,137> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- ggdggdd<42,137> --->
        psi; phi; phi
        ---- dggdggdd<42,137> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- ggdggdd<42,137> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- gdggdd<42,137> --->
      psi
    [ (\l.\r.l+r) [(\l.\r.l+r) 3 4] 5 @ (({_: {_: *}}, *), *) ]:Answer
    ---- dggdd<42,137> --->
    psi; e; phi; phi
    ---- dd<0,ggdd<42,137>> --->
    Query:[ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]
      h; v
      0 {
        psi
        ---- gdd<42,137> --->
        Query:[ (\l.[\r.l+r]) ((\l.\r.l+r) 3 4) 5 @ {_: *} ]
          h
        [ (\l.[\r.l+r]) ((\l.\r.l+r) 3 4) 5 @ {_: *} ]:Answer
        ---- dgdd<42,137> --->
        phi
      } 0
      u; h
    [ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]:Answer
    ---- dd<0,gdgdd<42,137>> --->
    psi; psi; e'; phi
    ---- dgdgdd<42,137> --->
    Query:[ (\l.\r.l+r) [(\l.\r.l+r) 3 4] 5 @ (({_: {_: *}}, *), *) ]
      phi
      ---- gdgdgdd<42,137> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- ggdgdgdd<42,137> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dggdgdgdd<42,137> --->
        psi; psi; phi
        ---- ggdgdgdd<42,137> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dggdgdgdd<42,137> --->
        psi; e; phi; phi
        ---- dd<0,ggdgdgdd<42,137>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- gdgdgdd<42,137> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- dgdgdgdd<42,137> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,gdgdgdgdd<42,137>> --->
        psi; psi; e'; phi
        ---- dgdgdgdgdd<42,137> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- gdgdgdgdd<42,137> --->
        psi; phi; phi
        ---- dgdgdgdgdd<42,137> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- gdgdgdgdd<42,137> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- dgdgdgdd<42,137> --->
      psi; psi; phi
      ---- gdgdgdd<42,137> --->
      Query:[ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]
        h
      [ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]:Answer
      ---- dgdgdgdd<42,137> --->
      psi; e; phi; phi
      ---- dd<0,gdgdgdd<42,137>> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- gdd<0,gdgdgdd<42,137>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dgdd<0,gdgdgdd<42,137>> --->
        psi; psi; phi
        ---- gdd<0,gdgdgdd<42,137>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dgdd<0,gdgdgdd<42,137>> --->
        psi; e; phi; phi
        ---- dd<0,gdd<0,gdgdgdd<42,137>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- dd<0,gdgdgdd<42,137>> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h; v
              0 {
                psi
                ---- dgdgdd<42,137> --->
                Query:[ (\l.\r.l+r) ((\l.\r.[l+r]) 3 4) 5 @ * ]
                  h
                [ (\l.\r.l+r) ((\l.\r.[l+r]) 3 4) 5 @ * ]:Answer
                ---- gdgdd<42,137> --->
                phi
              } 0
              u; h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- dd<0,ggdgdd<42,137>> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,gdd<0,ggdgdd<42,137>>> --->
        psi; psi; e'; phi
        ---- dgdd<0,ggdgdd<42,137>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- gdd<0,ggdgdd<42,137>> --->
        psi; phi; phi
        ---- dgdd<0,ggdgdd<42,137>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- gdd<0,ggdgdd<42,137>> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- dd<0,ggdgdd<42,137>> --->
      psi; psi; e'; phi
      ---- dggdgdd<42,137> --->
      Query:[ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]
        h
      [ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]:Answer
      ---- ggdgdd<42,137> --->
      psi; phi; phi
      ---- dggdgdd<42,137> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- gdggdgdd<42,137> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dgdggdgdd<42,137> --->
        psi; psi; phi
        ---- gdggdgdd<42,137> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dgdggdgdd<42,137> --->
        psi; e; phi; phi
        ---- dd<0,gdggdgdd<42,137>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- dggdgdd<42,137> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- ggdgdd<42,137> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,gggdgdd<42,137>> --->
        psi; psi; e'; phi
        ---- dgggdgdd<42,137> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- gggdgdd<42,137> --->
        psi; phi; phi
        ---- dgggdgdd<42,137> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- gggdgdd<42,137> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- ggdgdd<42,137> --->
      psi
    [ (\l.\r.l+r) [(\l.\r.l+r) 3 4] 5 @ (({_: {_: *}}, *), *) ]:Answer
    ---- gdgdd<42,137> --->
    psi; phi; phi
    ---- dgdgdd<42,137> --->
    Query:[ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]
      h
    [ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]:Answer
    ---- gdgdd<42,137> --->
    psi
  [ [(\l.\r.l+r) ((\l.\r.l+r) 3 4)] 5 @ ({_: {_: *}}, (({_: {_: *}}, *), *)) ]:Answer
  ---- dgdd<42,137> --->
  psi; psi; phi
  ---- gdd<42,137> --->
  Query:[ (\l.\r.l+r) ((\l.\r.l+r) 3 4) [5] @ * ]
    h
  [ (\l.\r.l+r) ((\l.\r.l+r) 3 4) [5] @ * ]:Answer
  ---- dgdd<42,137> --->
  psi; e; phi; phi
  ---- dd<0,gdd<42,137>> --->
  Query:[ [(\l.\r.l+r) ((\l.\r.l+r) 3 4)] 5 @ ({_: {_: *}}, (({_: {_: *}}, *), *)) ]
    phi
    ---- gdd<0,gdd<42,137>> --->
    Query:[ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]
      h
    [ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]:Answer
    ---- dgdd<0,gdd<42,137>> --->
    psi; psi; phi
    ---- gdd<0,gdd<42,137>> --->
    Query:[ (\l.\r.l+r) [(\l.\r.l+r) 3 4] 5 @ (({_: {_: *}}, *), *) ]
      phi
      ---- ggdd<0,gdd<42,137>> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- gggdd<0,gdd<42,137>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dgggdd<0,gdd<42,137>> --->
        psi; psi; phi
        ---- gggdd<0,gdd<42,137>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dgggdd<0,gdd<42,137>> --->
        psi; e; phi; phi
        ---- dd<0,gggdd<0,gdd<42,137>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- ggdd<0,gdd<42,137>> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- dggdd<0,gdd<42,137>> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,gdggdd<0,gdd<42,137>>> --->
        psi; psi; e'; phi
        ---- dgdggdd<0,gdd<42,137>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- gdggdd<0,gdd<42,137>> --->
        psi; phi; phi
        ---- dgdggdd<0,gdd<42,137>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- gdggdd<0,gdd<42,137>> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- dggdd<0,gdd<42,137>> --->
      psi; psi; phi
      ---- ggdd<0,gdd<42,137>> --->
      Query:[ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]
        h
      [ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]:Answer
      ---- dggdd<0,gdd<42,137>> --->
      psi; e; phi; phi
      ---- dd<0,ggdd<0,gdd<42,137>>> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- gdd<0,ggdd<0,gdd<42,137>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dgdd<0,ggdd<0,gdd<42,137>>> --->
        psi; psi; phi
        ---- gdd<0,ggdd<0,gdd<42,137>>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dgdd<0,ggdd<0,gdd<42,137>>> --->
        psi; e; phi; phi
        ---- dd<0,gdd<0,ggdd<0,gdd<42,137>>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- dd<0,ggdd<0,gdd<42,137>>> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h; v
              0 {
                psi
                ---- gdd<0,gdd<42,137>> --->
                Query:[ (\l.\r.l+r) ((\l.\r.[l+r]) 3 4) 5 @ * ]
                  h
                [ (\l.\r.l+r) ((\l.\r.[l+r]) 3 4) 5 @ * ]:Answer
                ---- dgdd<0,gdd<42,137>> --->
                phi
              } 0
              u; h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- dd<0,gdgdd<0,gdd<42,137>>> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,gdd<0,gdgdd<0,gdd<42,137>>>> --->
        psi; psi; e'; phi
        ---- dgdd<0,gdgdd<0,gdd<42,137>>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- gdd<0,gdgdd<0,gdd<42,137>>> --->
        psi; phi; phi
        ---- dgdd<0,gdgdd<0,gdd<42,137>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- gdd<0,gdgdd<0,gdd<42,137>>> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- dd<0,gdgdd<0,gdd<42,137>>> --->
      psi; psi; e'; phi
      ---- dgdgdd<0,gdd<42,137>> --->
      Query:[ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]
        h
      [ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]:Answer
      ---- gdgdd<0,gdd<42,137>> --->
      psi; phi; phi
      ---- dgdgdd<0,gdd<42,137>> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- gdgdgdd<0,gdd<42,137>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dgdgdgdd<0,gdd<42,137>> --->
        psi; psi; phi
        ---- gdgdgdd<0,gdd<42,137>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dgdgdgdd<0,gdd<42,137>> --->
        psi; e; phi; phi
        ---- dd<0,gdgdgdd<0,gdd<42,137>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- dgdgdd<0,gdd<42,137>> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- gdgdd<0,gdd<42,137>> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,ggdgdd<0,gdd<42,137>>> --->
        psi; psi; e'; phi
        ---- dggdgdd<0,gdd<42,137>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- ggdgdd<0,gdd<42,137>> --->
        psi; phi; phi
        ---- dggdgdd<0,gdd<42,137>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- ggdgdd<0,gdd<42,137>> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- gdgdd<0,gdd<42,137>> --->
      psi
    [ (\l.\r.l+r) [(\l.\r.l+r) 3 4] 5 @ (({_: {_: *}}, *), *) ]:Answer
    ---- dgdd<0,gdd<42,137>> --->
    psi; e; phi; phi
    ---- dd<0,gdd<0,gdd<42,137>>> --->
    Query:[ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]
      h; v
      0 {
        psi
        ---- dd<0,gdd<42,137>> --->
        Query:[ (\l.[\r.l+r]) ((\l.\r.l+r) 3 4) 5 @ {_: *} ]
          h; v
          0 {
            psi
            ---- dd<42,137> --->
            Query:[ (\l.\r.[l+r]) ((\l.\r.l+r) 3 4) 5 @ * ]
              h; sum
            [ (\l.\r.[l+r]) ((\l.\r.l+r) 3 4) 5 @ * ]:Query l
            ---- <42,137> --->
          } 0
          u; d
        [ (\l.[\r.l+r]) ((\l.\r.l+r) 3 4) 5 @ {_: *} ]:Query l
        ---- <<0,42>,137> --->
        phi
      } 0
      u; h
    [ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]:Answer
    ---- dd<0,d<<0,42>,137>> --->
    psi; psi; e'; phi
    ---- dd<<0,42>,137> --->
    Query:[ (\l.\r.l+r) [(\l.\r.l+r) 3 4] 5 @ (({_: {_: *}}, *), *) ]
      phi
      ---- gdd<<0,42>,137> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- ggdd<<0,42>,137> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dggdd<<0,42>,137> --->
        psi; psi; phi
        ---- ggdd<<0,42>,137> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dggdd<<0,42>,137> --->
        psi; e; phi; phi
        ---- dd<0,ggdd<<0,42>,137>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- gdd<<0,42>,137> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- dgdd<<0,42>,137> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,gdgdd<<0,42>,137>> --->
        psi; psi; e'; phi
        ---- dgdgdd<<0,42>,137> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- gdgdd<<0,42>,137> --->
        psi; phi; phi
        ---- dgdgdd<<0,42>,137> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- gdgdd<<0,42>,137> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- dgdd<<0,42>,137> --->
      psi; psi; phi
      ---- gdd<<0,42>,137> --->
      Query:[ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]
        h
      [ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]:Answer
      ---- dgdd<<0,42>,137> --->
      psi; e; phi; phi
      ---- dd<0,gdd<<0,42>,137>> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- gdd<0,gdd<<0,42>,137>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dgdd<0,gdd<<0,42>,137>> --->
        psi; psi; phi
        ---- gdd<0,gdd<<0,42>,137>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dgdd<0,gdd<<0,42>,137>> --->
        psi; e; phi; phi
        ---- dd<0,gdd<0,gdd<<0,42>,137>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- dd<0,gdd<<0,42>,137>> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h; v
              0 {
                psi
                ---- dd<<0,42>,137> --->
                Query:[ (\l.\r.l+r) ((\l.\r.[l+r]) 3 4) 5 @ * ]
                  h; sum
                [ (\l.\r.l+r) ((\l.\r.[l+r]) 3 4) 5 @ * ]:Query l
                ---- <<0,42>,137> --->
              } 0
              u; d
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Query l
            ---- <<0,<0,42>>,137> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,d<<0,<0,42>>,137>> --->
        psi; psi; e'; phi
        ---- dd<<0,<0,42>>,137> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h; k_3; h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dd<<0,<0,42>>,3> --->
        psi; e; phi; phi
        ---- dd<0,d<<0,<0,42>>,3>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- <<0,<0,42>>,3> --->
            Answer l:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              d'; v
              0 {
                ---- <<0,42>,3> --->
                Answer l:[ (\l.\r.l+r) ((\l.\r.[l+r]) 3 4) 5 @ * ]
                  sum
                [ (\l.\r.l+r) ((\l.\r.[l+r]) 3 4) 5 @ * ]:Query r
                ---- <<<0,42>,3>,0> --->
                phi
              } 0
              u; h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- dd<0,d<<<0,42>,3>,0>> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,gdd<0,d<<<0,42>,3>,0>>> --->
        psi; psi; e'; phi
        ---- dgdd<0,d<<<0,42>,3>,0>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- gdd<0,d<<<0,42>,3>,0>> --->
        psi; phi; phi
        ---- dgdd<0,d<<<0,42>,3>,0>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- gdd<0,d<<<0,42>,3>,0>> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- dd<0,d<<<0,42>,3>,0>> --->
      psi; psi; e'; phi
      ---- dd<<<0,42>,3>,0> --->
      Query:[ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]
        h; k_4; h
      [ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]:Answer
      ---- dd<<<0,42>,3>,4> --->
      psi; e; phi; phi
      ---- dd<0,d<<<0,42>,3>,4>> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- gdd<0,d<<<0,42>,3>,4>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dgdd<0,d<<<0,42>,3>,4>> --->
        psi; psi; phi
        ---- gdd<0,d<<<0,42>,3>,4>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dgdd<0,d<<<0,42>,3>,4>> --->
        psi; e; phi; phi
        ---- dd<0,gdd<0,d<<<0,42>,3>,4>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- dd<0,d<<<0,42>,3>,4>> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h; v
              0 {
                psi
                ---- <<<0,42>,3>,4> --->
                Answer r:[ (\l.\r.l+r) ((\l.\r.[l+r]) 3 4) 5 @ * ]
                  sum; h
                [ (\l.\r.l+r) ((\l.\r.[l+r]) 3 4) 5 @ * ]:Answer
                ---- dd<<0,42>,7> --->
                phi
              } 0
              u; h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- dd<0,gdd<<0,42>,7>> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,gdd<0,gdd<<0,42>,7>>> --->
        psi; psi; e'; phi
        ---- dgdd<0,gdd<<0,42>,7>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- gdd<0,gdd<<0,42>,7>> --->
        psi; phi; phi
        ---- dgdd<0,gdd<<0,42>,7>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- gdd<0,gdd<<0,42>,7>> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- dd<0,gdd<<0,42>,7>> --->
      psi; psi; e'; phi
      ---- dgdd<<0,42>,7> --->
      Query:[ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]
        h
      [ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]:Answer
      ---- gdd<<0,42>,7> --->
      psi; phi; phi
      ---- dgdd<<0,42>,7> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- gdgdd<<0,42>,7> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dgdgdd<<0,42>,7> --->
        psi; psi; phi
        ---- gdgdd<<0,42>,7> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dgdgdd<<0,42>,7> --->
        psi; e; phi; phi
        ---- dd<0,gdgdd<<0,42>,7>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- dgdd<<0,42>,7> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- gdd<<0,42>,7> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,ggdd<<0,42>,7>> --->
        psi; psi; e'; phi
        ---- dggdd<<0,42>,7> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- ggdd<<0,42>,7> --->
        psi; phi; phi
        ---- dggdd<<0,42>,7> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- ggdd<<0,42>,7> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- gdd<<0,42>,7> --->
      psi
    [ (\l.\r.l+r) [(\l.\r.l+r) 3 4] 5 @ (({_: {_: *}}, *), *) ]:Answer
    ---- dd<<0,42>,7> --->
    psi; e; phi; phi
    ---- dd<0,d<<0,42>,7>> --->
    Query:[ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]
      h; v
      0 {
        psi
        ---- <<0,42>,7> --->
        Answer l:[ (\l.[\r.l+r]) ((\l.\r.l+r) 3 4) 5 @ {_: *} ]
          d'; v
          0 {
            ---- <42,7> --->
            Answer l:[ (\l.\r.[l+r]) ((\l.\r.l+r) 3 4) 5 @ * ]
              sum
            [ (\l.\r.[l+r]) ((\l.\r.l+r) 3 4) 5 @ * ]:Query r
            ---- <<42,7>,0> --->
            phi
          } 0
          u; h
        [ (\l.[\r.l+r]) ((\l.\r.l+r) 3 4) 5 @ {_: *} ]:Answer
        ---- dd<0,d<<42,7>,0>> --->
        phi
      } 0
      u; h
    [ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]:Answer
    ---- dd<0,gdd<0,d<<42,7>,0>>> --->
    psi; psi; e'; phi
    ---- dgdd<0,d<<42,7>,0>> --->
    Query:[ (\l.\r.l+r) [(\l.\r.l+r) 3 4] 5 @ (({_: {_: *}}, *), *) ]
      phi
      ---- gdgdd<0,d<<42,7>,0>> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- ggdgdd<0,d<<42,7>,0>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dggdgdd<0,d<<42,7>,0>> --->
        psi; psi; phi
        ---- ggdgdd<0,d<<42,7>,0>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dggdgdd<0,d<<42,7>,0>> --->
        psi; e; phi; phi
        ---- dd<0,ggdgdd<0,d<<42,7>,0>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- gdgdd<0,d<<42,7>,0>> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- dgdgdd<0,d<<42,7>,0>> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,gdgdgdd<0,d<<42,7>,0>>> --->
        psi; psi; e'; phi
        ---- dgdgdgdd<0,d<<42,7>,0>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- gdgdgdd<0,d<<42,7>,0>> --->
        psi; phi; phi
        ---- dgdgdgdd<0,d<<42,7>,0>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- gdgdgdd<0,d<<42,7>,0>> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- dgdgdd<0,d<<42,7>,0>> --->
      psi; psi; phi
      ---- gdgdd<0,d<<42,7>,0>> --->
      Query:[ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]
        h
      [ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]:Answer
      ---- dgdgdd<0,d<<42,7>,0>> --->
      psi; e; phi; phi
      ---- dd<0,gdgdd<0,d<<42,7>,0>>> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- gdd<0,gdgdd<0,d<<42,7>,0>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dgdd<0,gdgdd<0,d<<42,7>,0>>> --->
        psi; psi; phi
        ---- gdd<0,gdgdd<0,d<<42,7>,0>>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dgdd<0,gdgdd<0,d<<42,7>,0>>> --->
        psi; e; phi; phi
        ---- dd<0,gdd<0,gdgdd<0,d<<42,7>,0>>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- dd<0,gdgdd<0,d<<42,7>,0>>> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h; v
              0 {
                psi
                ---- dgdd<0,d<<42,7>,0>> --->
                Query:[ (\l.\r.l+r) ((\l.\r.[l+r]) 3 4) 5 @ * ]
                  h
                [ (\l.\r.l+r) ((\l.\r.[l+r]) 3 4) 5 @ * ]:Answer
                ---- gdd<0,d<<42,7>,0>> --->
                phi
              } 0
              u; h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- dd<0,ggdd<0,d<<42,7>,0>>> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,gdd<0,ggdd<0,d<<42,7>,0>>>> --->
        psi; psi; e'; phi
        ---- dgdd<0,ggdd<0,d<<42,7>,0>>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- gdd<0,ggdd<0,d<<42,7>,0>>> --->
        psi; phi; phi
        ---- dgdd<0,ggdd<0,d<<42,7>,0>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- gdd<0,ggdd<0,d<<42,7>,0>>> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- dd<0,ggdd<0,d<<42,7>,0>>> --->
      psi; psi; e'; phi
      ---- dggdd<0,d<<42,7>,0>> --->
      Query:[ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]
        h
      [ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]:Answer
      ---- ggdd<0,d<<42,7>,0>> --->
      psi; phi; phi
      ---- dggdd<0,d<<42,7>,0>> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- gdggdd<0,d<<42,7>,0>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dgdggdd<0,d<<42,7>,0>> --->
        psi; psi; phi
        ---- gdggdd<0,d<<42,7>,0>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dgdggdd<0,d<<42,7>,0>> --->
        psi; e; phi; phi
        ---- dd<0,gdggdd<0,d<<42,7>,0>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- dggdd<0,d<<42,7>,0>> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- ggdd<0,d<<42,7>,0>> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,gggdd<0,d<<42,7>,0>>> --->
        psi; psi; e'; phi
        ---- dgggdd<0,d<<42,7>,0>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- gggdd<0,d<<42,7>,0>> --->
        psi; phi; phi
        ---- dgggdd<0,d<<42,7>,0>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- gggdd<0,d<<42,7>,0>> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- ggdd<0,d<<42,7>,0>> --->
      psi
    [ (\l.\r.l+r) [(\l.\r.l+r) 3 4] 5 @ (({_: {_: *}}, *), *) ]:Answer
    ---- gdd<0,d<<42,7>,0>> --->
    psi; phi; phi
    ---- dgdd<0,d<<42,7>,0>> --->
    Query:[ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]
      h
    [ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]:Answer
    ---- gdd<0,d<<42,7>,0>> --->
    psi
  [ [(\l.\r.l+r) ((\l.\r.l+r) 3 4)] 5 @ ({_: {_: *}}, (({_: {_: *}}, *), *)) ]:Answer
  ---- dd<0,d<<42,7>,0>> --->
  psi; psi; e'; phi
  ---- dd<<42,7>,0> --->
  Query:[ (\l.\r.l+r) ((\l.\r.l+r) 3 4) [5] @ * ]
    h; k_5; h
  [ (\l.\r.l+r) ((\l.\r.l+r) 3 4) [5] @ * ]:Answer
  ---- dd<<42,7>,5> --->
  psi; e; phi; phi
  ---- dd<0,d<<42,7>,5>> --->
  Query:[ [(\l.\r.l+r) ((\l.\r.l+r) 3 4)] 5 @ ({_: {_: *}}, (({_: {_: *}}, *), *)) ]
    phi
    ---- gdd<0,d<<42,7>,5>> --->
    Query:[ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]
      h
    [ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]:Answer
    ---- dgdd<0,d<<42,7>,5>> --->
    psi; psi; phi
    ---- gdd<0,d<<42,7>,5>> --->
    Query:[ (\l.\r.l+r) [(\l.\r.l+r) 3 4] 5 @ (({_: {_: *}}, *), *) ]
      phi
      ---- ggdd<0,d<<42,7>,5>> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- gggdd<0,d<<42,7>,5>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dgggdd<0,d<<42,7>,5>> --->
        psi; psi; phi
        ---- gggdd<0,d<<42,7>,5>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dgggdd<0,d<<42,7>,5>> --->
        psi; e; phi; phi
        ---- dd<0,gggdd<0,d<<42,7>,5>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- ggdd<0,d<<42,7>,5>> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- dggdd<0,d<<42,7>,5>> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,gdggdd<0,d<<42,7>,5>>> --->
        psi; psi; e'; phi
        ---- dgdggdd<0,d<<42,7>,5>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- gdggdd<0,d<<42,7>,5>> --->
        psi; phi; phi
        ---- dgdggdd<0,d<<42,7>,5>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- gdggdd<0,d<<42,7>,5>> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- dggdd<0,d<<42,7>,5>> --->
      psi; psi; phi
      ---- ggdd<0,d<<42,7>,5>> --->
      Query:[ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]
        h
      [ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]:Answer
      ---- dggdd<0,d<<42,7>,5>> --->
      psi; e; phi; phi
      ---- dd<0,ggdd<0,d<<42,7>,5>>> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- gdd<0,ggdd<0,d<<42,7>,5>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dgdd<0,ggdd<0,d<<42,7>,5>>> --->
        psi; psi; phi
        ---- gdd<0,ggdd<0,d<<42,7>,5>>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dgdd<0,ggdd<0,d<<42,7>,5>>> --->
        psi; e; phi; phi
        ---- dd<0,gdd<0,ggdd<0,d<<42,7>,5>>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- dd<0,ggdd<0,d<<42,7>,5>>> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h; v
              0 {
                psi
                ---- gdd<0,d<<42,7>,5>> --->
                Query:[ (\l.\r.l+r) ((\l.\r.[l+r]) 3 4) 5 @ * ]
                  h
                [ (\l.\r.l+r) ((\l.\r.[l+r]) 3 4) 5 @ * ]:Answer
                ---- dgdd<0,d<<42,7>,5>> --->
                phi
              } 0
              u; h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- dd<0,gdgdd<0,d<<42,7>,5>>> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,gdd<0,gdgdd<0,d<<42,7>,5>>>> --->
        psi; psi; e'; phi
        ---- dgdd<0,gdgdd<0,d<<42,7>,5>>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- gdd<0,gdgdd<0,d<<42,7>,5>>> --->
        psi; phi; phi
        ---- dgdd<0,gdgdd<0,d<<42,7>,5>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- gdd<0,gdgdd<0,d<<42,7>,5>>> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- dd<0,gdgdd<0,d<<42,7>,5>>> --->
      psi; psi; e'; phi
      ---- dgdgdd<0,d<<42,7>,5>> --->
      Query:[ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]
        h
      [ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]:Answer
      ---- gdgdd<0,d<<42,7>,5>> --->
      psi; phi; phi
      ---- dgdgdd<0,d<<42,7>,5>> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- gdgdgdd<0,d<<42,7>,5>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dgdgdgdd<0,d<<42,7>,5>> --->
        psi; psi; phi
        ---- gdgdgdd<0,d<<42,7>,5>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dgdgdgdd<0,d<<42,7>,5>> --->
        psi; e; phi; phi
        ---- dd<0,gdgdgdd<0,d<<42,7>,5>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- dgdgdd<0,d<<42,7>,5>> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- gdgdd<0,d<<42,7>,5>> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,ggdgdd<0,d<<42,7>,5>>> --->
        psi; psi; e'; phi
        ---- dggdgdd<0,d<<42,7>,5>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- ggdgdd<0,d<<42,7>,5>> --->
        psi; phi; phi
        ---- dggdgdd<0,d<<42,7>,5>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- ggdgdd<0,d<<42,7>,5>> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- gdgdd<0,d<<42,7>,5>> --->
      psi
    [ (\l.\r.l+r) [(\l.\r.l+r) 3 4] 5 @ (({_: {_: *}}, *), *) ]:Answer
    ---- dgdd<0,d<<42,7>,5>> --->
    psi; e; phi; phi
    ---- dd<0,gdd<0,d<<42,7>,5>>> --->
    Query:[ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]
      h; v
      0 {
        psi
        ---- dd<0,d<<42,7>,5>> --->
        Query:[ (\l.[\r.l+r]) ((\l.\r.l+r) 3 4) 5 @ {_: *} ]
          h; v
          0 {
            psi
            ---- <<42,7>,5> --->
            Answer r:[ (\l.\r.[l+r]) ((\l.\r.l+r) 3 4) 5 @ * ]
              sum; h
            [ (\l.\r.[l+r]) ((\l.\r.l+r) 3 4) 5 @ * ]:Answer
            ---- dd<42,12> --->
            phi
          } 0
          u; h
        [ (\l.[\r.l+r]) ((\l.\r.l+r) 3 4) 5 @ {_: *} ]:Answer
        ---- dd<0,gdd<42,12>> --->
        phi
      } 0
      u; h
    [ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]:Answer
    ---- dd<0,gdd<0,gdd<42,12>>> --->
    psi; psi; e'; phi
    ---- dgdd<0,gdd<42,12>> --->
    Query:[ (\l.\r.l+r) [(\l.\r.l+r) 3 4] 5 @ (({_: {_: *}}, *), *) ]
      phi
      ---- gdgdd<0,gdd<42,12>> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- ggdgdd<0,gdd<42,12>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dggdgdd<0,gdd<42,12>> --->
        psi; psi; phi
        ---- ggdgdd<0,gdd<42,12>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dggdgdd<0,gdd<42,12>> --->
        psi; e; phi; phi
        ---- dd<0,ggdgdd<0,gdd<42,12>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- gdgdd<0,gdd<42,12>> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- dgdgdd<0,gdd<42,12>> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,gdgdgdd<0,gdd<42,12>>> --->
        psi; psi; e'; phi
        ---- dgdgdgdd<0,gdd<42,12>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- gdgdgdd<0,gdd<42,12>> --->
        psi; phi; phi
        ---- dgdgdgdd<0,gdd<42,12>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- gdgdgdd<0,gdd<42,12>> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- dgdgdd<0,gdd<42,12>> --->
      psi; psi; phi
      ---- gdgdd<0,gdd<42,12>> --->
      Query:[ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]
        h
      [ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]:Answer
      ---- dgdgdd<0,gdd<42,12>> --->
      psi; e; phi; phi
      ---- dd<0,gdgdd<0,gdd<42,12>>> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- gdd<0,gdgdd<0,gdd<42,12>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dgdd<0,gdgdd<0,gdd<42,12>>> --->
        psi; psi; phi
        ---- gdd<0,gdgdd<0,gdd<42,12>>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dgdd<0,gdgdd<0,gdd<42,12>>> --->
        psi; e; phi; phi
        ---- dd<0,gdd<0,gdgdd<0,gdd<42,12>>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- dd<0,gdgdd<0,gdd<42,12>>> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h; v
              0 {
                psi
                ---- dgdd<0,gdd<42,12>> --->
                Query:[ (\l.\r.l+r) ((\l.\r.[l+r]) 3 4) 5 @ * ]
                  h
                [ (\l.\r.l+r) ((\l.\r.[l+r]) 3 4) 5 @ * ]:Answer
                ---- gdd<0,gdd<42,12>> --->
                phi
              } 0
              u; h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- dd<0,ggdd<0,gdd<42,12>>> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,gdd<0,ggdd<0,gdd<42,12>>>> --->
        psi; psi; e'; phi
        ---- dgdd<0,ggdd<0,gdd<42,12>>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- gdd<0,ggdd<0,gdd<42,12>>> --->
        psi; phi; phi
        ---- dgdd<0,ggdd<0,gdd<42,12>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- gdd<0,ggdd<0,gdd<42,12>>> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- dd<0,ggdd<0,gdd<42,12>>> --->
      psi; psi; e'; phi
      ---- dggdd<0,gdd<42,12>> --->
      Query:[ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]
        h
      [ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]:Answer
      ---- ggdd<0,gdd<42,12>> --->
      psi; phi; phi
      ---- dggdd<0,gdd<42,12>> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- gdggdd<0,gdd<42,12>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dgdggdd<0,gdd<42,12>> --->
        psi; psi; phi
        ---- gdggdd<0,gdd<42,12>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dgdggdd<0,gdd<42,12>> --->
        psi; e; phi; phi
        ---- dd<0,gdggdd<0,gdd<42,12>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- dggdd<0,gdd<42,12>> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- ggdd<0,gdd<42,12>> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,gggdd<0,gdd<42,12>>> --->
        psi; psi; e'; phi
        ---- dgggdd<0,gdd<42,12>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- gggdd<0,gdd<42,12>> --->
        psi; phi; phi
        ---- dgggdd<0,gdd<42,12>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- gggdd<0,gdd<42,12>> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- ggdd<0,gdd<42,12>> --->
      psi
    [ (\l.\r.l+r) [(\l.\r.l+r) 3 4] 5 @ (({_: {_: *}}, *), *) ]:Answer
    ---- gdd<0,gdd<42,12>> --->
    psi; phi; phi
    ---- dgdd<0,gdd<42,12>> --->
    Query:[ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]
      h
    [ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]:Answer
    ---- gdd<0,gdd<42,12>> --->
    psi
  [ [(\l.\r.l+r) ((\l.\r.l+r) 3 4)] 5 @ ({_: {_: *}}, (({_: {_: *}}, *), *)) ]:Answer
  ---- dd<0,gdd<42,12>> --->
  psi; psi; e'; phi
  ---- dgdd<42,12> --->
  Query:[ (\l.\r.l+r) ((\l.\r.l+r) 3 4) [5] @ * ]
    h
  [ (\l.\r.l+r) ((\l.\r.l+r) 3 4) [5] @ * ]:Answer
  ---- gdd<42,12> --->
  psi; phi; phi
  ---- dgdd<42,12> --->
  Query:[ [(\l.\r.l+r) ((\l.\r.l+r) 3 4)] 5 @ ({_: {_: *}}, (({_: {_: *}}, *), *)) ]
    phi
    ---- gdgdd<42,12> --->
    Query:[ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]
      h
    [ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]:Answer
    ---- dgdgdd<42,12> --->
    psi; psi; phi
    ---- gdgdd<42,12> --->
    Query:[ (\l.\r.l+r) [(\l.\r.l+r) 3 4] 5 @ (({_: {_: *}}, *), *) ]
      phi
      ---- ggdgdd<42,12> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- gggdgdd<42,12> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dgggdgdd<42,12> --->
        psi; psi; phi
        ---- gggdgdd<42,12> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dgggdgdd<42,12> --->
        psi; e; phi; phi
        ---- dd<0,gggdgdd<42,12>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- ggdgdd<42,12> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- dggdgdd<42,12> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,gdggdgdd<42,12>> --->
        psi; psi; e'; phi
        ---- dgdggdgdd<42,12> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- gdggdgdd<42,12> --->
        psi; phi; phi
        ---- dgdggdgdd<42,12> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- gdggdgdd<42,12> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- dggdgdd<42,12> --->
      psi; psi; phi
      ---- ggdgdd<42,12> --->
      Query:[ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]
        h
      [ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]:Answer
      ---- dggdgdd<42,12> --->
      psi; e; phi; phi
      ---- dd<0,ggdgdd<42,12>> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- gdd<0,ggdgdd<42,12>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dgdd<0,ggdgdd<42,12>> --->
        psi; psi; phi
        ---- gdd<0,ggdgdd<42,12>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dgdd<0,ggdgdd<42,12>> --->
        psi; e; phi; phi
        ---- dd<0,gdd<0,ggdgdd<42,12>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- dd<0,ggdgdd<42,12>> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h; v
              0 {
                psi
                ---- gdgdd<42,12> --->
                Query:[ (\l.\r.l+r) ((\l.\r.[l+r]) 3 4) 5 @ * ]
                  h
                [ (\l.\r.l+r) ((\l.\r.[l+r]) 3 4) 5 @ * ]:Answer
                ---- dgdgdd<42,12> --->
                phi
              } 0
              u; h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- dd<0,gdgdgdd<42,12>> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,gdd<0,gdgdgdd<42,12>>> --->
        psi; psi; e'; phi
        ---- dgdd<0,gdgdgdd<42,12>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- gdd<0,gdgdgdd<42,12>> --->
        psi; phi; phi
        ---- dgdd<0,gdgdgdd<42,12>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- gdd<0,gdgdgdd<42,12>> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- dd<0,gdgdgdd<42,12>> --->
      psi; psi; e'; phi
      ---- dgdgdgdd<42,12> --->
      Query:[ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]
        h
      [ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]:Answer
      ---- gdgdgdd<42,12> --->
      psi; phi; phi
      ---- dgdgdgdd<42,12> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- gdgdgdgdd<42,12> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dgdgdgdgdd<42,12> --->
        psi; psi; phi
        ---- gdgdgdgdd<42,12> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dgdgdgdgdd<42,12> --->
        psi; e; phi; phi
        ---- dd<0,gdgdgdgdd<42,12>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- dgdgdgdd<42,12> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- gdgdgdd<42,12> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,ggdgdgdd<42,12>> --->
        psi; psi; e'; phi
        ---- dggdgdgdd<42,12> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- ggdgdgdd<42,12> --->
        psi; phi; phi
        ---- dggdgdgdd<42,12> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- ggdgdgdd<42,12> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- gdgdgdd<42,12> --->
      psi
    [ (\l.\r.l+r) [(\l.\r.l+r) 3 4] 5 @ (({_: {_: *}}, *), *) ]:Answer
    ---- dgdgdd<42,12> --->
    psi; e; phi; phi
    ---- dd<0,gdgdd<42,12>> --->
    Query:[ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]
      h; v
      0 {
        psi
        ---- dgdd<42,12> --->
        Query:[ (\l.[\r.l+r]) ((\l.\r.l+r) 3 4) 5 @ {_: *} ]
          h
        [ (\l.[\r.l+r]) ((\l.\r.l+r) 3 4) 5 @ {_: *} ]:Answer
        ---- gdd<42,12> --->
        phi
      } 0
      u; h
    [ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]:Answer
    ---- dd<0,ggdd<42,12>> --->
    psi; psi; e'; phi
    ---- dggdd<42,12> --->
    Query:[ (\l.\r.l+r) [(\l.\r.l+r) 3 4] 5 @ (({_: {_: *}}, *), *) ]
      phi
      ---- gdggdd<42,12> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- ggdggdd<42,12> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dggdggdd<42,12> --->
        psi; psi; phi
        ---- ggdggdd<42,12> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dggdggdd<42,12> --->
        psi; e; phi; phi
        ---- dd<0,ggdggdd<42,12>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- gdggdd<42,12> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- dgdggdd<42,12> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,gdgdggdd<42,12>> --->
        psi; psi; e'; phi
        ---- dgdgdggdd<42,12> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- gdgdggdd<42,12> --->
        psi; phi; phi
        ---- dgdgdggdd<42,12> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- gdgdggdd<42,12> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- dgdggdd<42,12> --->
      psi; psi; phi
      ---- gdggdd<42,12> --->
      Query:[ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]
        h
      [ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]:Answer
      ---- dgdggdd<42,12> --->
      psi; e; phi; phi
      ---- dd<0,gdggdd<42,12>> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- gdd<0,gdggdd<42,12>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dgdd<0,gdggdd<42,12>> --->
        psi; psi; phi
        ---- gdd<0,gdggdd<42,12>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dgdd<0,gdggdd<42,12>> --->
        psi; e; phi; phi
        ---- dd<0,gdd<0,gdggdd<42,12>>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- dd<0,gdggdd<42,12>> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h; v
              0 {
                psi
                ---- dggdd<42,12> --->
                Query:[ (\l.\r.l+r) ((\l.\r.[l+r]) 3 4) 5 @ * ]
                  h
                [ (\l.\r.l+r) ((\l.\r.[l+r]) 3 4) 5 @ * ]:Answer
                ---- ggdd<42,12> --->
                phi
              } 0
              u; h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- dd<0,gggdd<42,12>> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,gdd<0,gggdd<42,12>>> --->
        psi; psi; e'; phi
        ---- dgdd<0,gggdd<42,12>> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- gdd<0,gggdd<42,12>> --->
        psi; phi; phi
        ---- dgdd<0,gggdd<42,12>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- gdd<0,gggdd<42,12>> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- dd<0,gggdd<42,12>> --->
      psi; psi; e'; phi
      ---- dgggdd<42,12> --->
      Query:[ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]
        h
      [ (\l.\r.l+r) ((\l.\r.l+r) 3 [4]) 5 @ * ]:Answer
      ---- gggdd<42,12> --->
      psi; phi; phi
      ---- dgggdd<42,12> --->
      Query:[ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]
        phi
        ---- gdgggdd<42,12> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dgdgggdd<42,12> --->
        psi; psi; phi
        ---- gdgggdd<42,12> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- dgdgggdd<42,12> --->
        psi; e; phi; phi
        ---- dd<0,gdgggdd<42,12>> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h; v
          0 {
            psi
            ---- dgggdd<42,12> --->
            Query:[ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]
              h
            [ (\l.\r.l+r) ((\l.[\r.l+r]) 3 4) 5 @ {_: *} ]:Answer
            ---- gggdd<42,12> --->
            phi
          } 0
          u; h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- dd<0,ggggdd<42,12>> --->
        psi; psi; e'; phi
        ---- dggggdd<42,12> --->
        Query:[ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]
          h
        [ (\l.\r.l+r) ((\l.\r.l+r) [3] 4) 5 @ * ]:Answer
        ---- ggggdd<42,12> --->
        psi; phi; phi
        ---- dggggdd<42,12> --->
        Query:[ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]
          h
        [ (\l.\r.l+r) ([\l.\r.l+r] 3 4) 5 @ {_: {_: *}} ]:Answer
        ---- ggggdd<42,12> --->
        psi
      [ (\l.\r.l+r) ([(\l.\r.l+r) 3] 4) 5 @ ({_: {_: *}}, *) ]:Answer
      ---- gggdd<42,12> --->
      psi
    [ (\l.\r.l+r) [(\l.\r.l+r) 3 4] 5 @ (({_: {_: *}}, *), *) ]:Answer
    ---- ggdd<42,12> --->
    psi; phi; phi
    ---- dggdd<42,12> --->
    Query:[ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]
      h
    [ [\l.\r.l+r] ((\l.\r.l+r) 3 4) 5 @ {_: {_: *}} ]:Answer
    ---- ggdd<42,12> --->
    psi
  [ [(\l.\r.l+r) ((\l.\r.l+r) 3 4)] 5 @ ({_: {_: *}}, (({_: {_: *}}, *), *)) ]:Answer
  ---- gdd<42,12> --->
  psi
[ [(\l.\r.l+r) ((\l.\r.l+r) 3 4) 5] @ (({_: {_: *}}, (({_: {_: *}}, *), *)), *) ]:Answer
---- dd<42,12> --->
Result: 12 / State: (({_: {_: *}}, (({_: {_: *}}, *), *)), *)
####################################################################################################
parsed: Apply (Apply (Abst "l" (Abst "r" (Sum "l" "r"))) (ConstN 5)) (ConstN 3)
====================================================================================================
---- dd<42,137> --->
Query:[ [(\l.\r.l+r) 5 3] @ (({_: {_: *}}, *), *) ]
  phi
  ---- gdd<42,137> --->
  Query:[ [(\l.\r.l+r) 5] 3 @ ({_: {_: *}}, *) ]
    phi
    ---- ggdd<42,137> --->
    Query:[ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]
      h
    [ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]:Answer
    ---- dggdd<42,137> --->
    psi; psi; phi
    ---- ggdd<42,137> --->
    Query:[ (\l.\r.l+r) [5] 3 @ * ]
      h
    [ (\l.\r.l+r) [5] 3 @ * ]:Answer
    ---- dggdd<42,137> --->
    psi; e; phi; phi
    ---- dd<0,ggdd<42,137>> --->
    Query:[ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]
      h; v
      0 {
        psi
        ---- gdd<42,137> --->
        Query:[ (\l.[\r.l+r]) 5 3 @ {_: *} ]
          h
        [ (\l.[\r.l+r]) 5 3 @ {_: *} ]:Answer
        ---- dgdd<42,137> --->
        phi
      } 0
      u; h
    [ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]:Answer
    ---- dd<0,gdgdd<42,137>> --->
    psi; psi; e'; phi
    ---- dgdgdd<42,137> --->
    Query:[ (\l.\r.l+r) [5] 3 @ * ]
      h
    [ (\l.\r.l+r) [5] 3 @ * ]:Answer
    ---- gdgdd<42,137> --->
    psi; phi; phi
    ---- dgdgdd<42,137> --->
    Query:[ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]
      h
    [ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]:Answer
    ---- gdgdd<42,137> --->
    psi
  [ [(\l.\r.l+r) 5] 3 @ ({_: {_: *}}, *) ]:Answer
  ---- dgdd<42,137> --->
  psi; psi; phi
  ---- gdd<42,137> --->
  Query:[ (\l.\r.l+r) 5 [3] @ * ]
    h
  [ (\l.\r.l+r) 5 [3] @ * ]:Answer
  ---- dgdd<42,137> --->
  psi; e; phi; phi
  ---- dd<0,gdd<42,137>> --->
  Query:[ [(\l.\r.l+r) 5] 3 @ ({_: {_: *}}, *) ]
    phi
    ---- gdd<0,gdd<42,137>> --->
    Query:[ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]
      h
    [ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]:Answer
    ---- dgdd<0,gdd<42,137>> --->
    psi; psi; phi
    ---- gdd<0,gdd<42,137>> --->
    Query:[ (\l.\r.l+r) [5] 3 @ * ]
      h
    [ (\l.\r.l+r) [5] 3 @ * ]:Answer
    ---- dgdd<0,gdd<42,137>> --->
    psi; e; phi; phi
    ---- dd<0,gdd<0,gdd<42,137>>> --->
    Query:[ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]
      h; v
      0 {
        psi
        ---- dd<0,gdd<42,137>> --->
        Query:[ (\l.[\r.l+r]) 5 3 @ {_: *} ]
          h; v
          0 {
            psi
            ---- dd<42,137> --->
            Query:[ (\l.\r.[l+r]) 5 3 @ * ]
              h; sum
            [ (\l.\r.[l+r]) 5 3 @ * ]:Query l
            ---- <42,137> --->
          } 0
          u; d
        [ (\l.[\r.l+r]) 5 3 @ {_: *} ]:Query l
        ---- <<0,42>,137> --->
        phi
      } 0
      u; h
    [ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]:Answer
    ---- dd<0,d<<0,42>,137>> --->
    psi; psi; e'; phi
    ---- dd<<0,42>,137> --->
    Query:[ (\l.\r.l+r) [5] 3 @ * ]
      h; k_5; h
    [ (\l.\r.l+r) [5] 3 @ * ]:Answer
    ---- dd<<0,42>,5> --->
    psi; e; phi; phi
    ---- dd<0,d<<0,42>,5>> --->
    Query:[ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]
      h; v
      0 {
        psi
        ---- <<0,42>,5> --->
        Answer l:[ (\l.[\r.l+r]) 5 3 @ {_: *} ]
          d'; v
          0 {
            ---- <42,5> --->
            Answer l:[ (\l.\r.[l+r]) 5 3 @ * ]
              sum
            [ (\l.\r.[l+r]) 5 3 @ * ]:Query r
            ---- <<42,5>,0> --->
            phi
          } 0
          u; h
        [ (\l.[\r.l+r]) 5 3 @ {_: *} ]:Answer
        ---- dd<0,d<<42,5>,0>> --->
        phi
      } 0
      u; h
    [ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]:Answer
    ---- dd<0,gdd<0,d<<42,5>,0>>> --->
    psi; psi; e'; phi
    ---- dgdd<0,d<<42,5>,0>> --->
    Query:[ (\l.\r.l+r) [5] 3 @ * ]
      h
    [ (\l.\r.l+r) [5] 3 @ * ]:Answer
    ---- gdd<0,d<<42,5>,0>> --->
    psi; phi; phi
    ---- dgdd<0,d<<42,5>,0>> --->
    Query:[ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]
      h
    [ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]:Answer
    ---- gdd<0,d<<42,5>,0>> --->
    psi
  [ [(\l.\r.l+r) 5] 3 @ ({_: {_: *}}, *) ]:Answer
  ---- dd<0,d<<42,5>,0>> --->
  psi; psi; e'; phi
  ---- dd<<42,5>,0> --->
  Query:[ (\l.\r.l+r) 5 [3] @ * ]
    h; k_3; h
  [ (\l.\r.l+r) 5 [3] @ * ]:Answer
  ---- dd<<42,5>,3> --->
  psi; e; phi; phi
  ---- dd<0,d<<42,5>,3>> --->
  Query:[ [(\l.\r.l+r) 5] 3 @ ({_: {_: *}}, *) ]
    phi
    ---- gdd<0,d<<42,5>,3>> --->
    Query:[ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]
      h
    [ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]:Answer
    ---- dgdd<0,d<<42,5>,3>> --->
    psi; psi; phi
    ---- gdd<0,d<<42,5>,3>> --->
    Query:[ (\l.\r.l+r) [5] 3 @ * ]
      h
    [ (\l.\r.l+r) [5] 3 @ * ]:Answer
    ---- dgdd<0,d<<42,5>,3>> --->
    psi; e; phi; phi
    ---- dd<0,gdd<0,d<<42,5>,3>>> --->
    Query:[ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]
      h; v
      0 {
        psi
        ---- dd<0,d<<42,5>,3>> --->
        Query:[ (\l.[\r.l+r]) 5 3 @ {_: *} ]
          h; v
          0 {
            psi
            ---- <<42,5>,3> --->
            Answer r:[ (\l.\r.[l+r]) 5 3 @ * ]
              sum; h
            [ (\l.\r.[l+r]) 5 3 @ * ]:Answer
            ---- dd<42,8> --->
            phi
          } 0
          u; h
        [ (\l.[\r.l+r]) 5 3 @ {_: *} ]:Answer
        ---- dd<0,gdd<42,8>> --->
        phi
      } 0
      u; h
    [ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]:Answer
    ---- dd<0,gdd<0,gdd<42,8>>> --->
    psi; psi; e'; phi
    ---- dgdd<0,gdd<42,8>> --->
    Query:[ (\l.\r.l+r) [5] 3 @ * ]
      h
    [ (\l.\r.l+r) [5] 3 @ * ]:Answer
    ---- gdd<0,gdd<42,8>> --->
    psi; phi; phi
    ---- dgdd<0,gdd<42,8>> --->
    Query:[ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]
      h
    [ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]:Answer
    ---- gdd<0,gdd<42,8>> --->
    psi
  [ [(\l.\r.l+r) 5] 3 @ ({_: {_: *}}, *) ]:Answer
  ---- dd<0,gdd<42,8>> --->
  psi; psi; e'; phi
  ---- dgdd<42,8> --->
  Query:[ (\l.\r.l+r) 5 [3] @ * ]
    h
  [ (\l.\r.l+r) 5 [3] @ * ]:Answer
  ---- gdd<42,8> --->
  psi; phi; phi
  ---- dgdd<42,8> --->
  Query:[ [(\l.\r.l+r) 5] 3 @ ({_: {_: *}}, *) ]
    phi
    ---- gdgdd<42,8> --->
    Query:[ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]
      h
    [ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]:Answer
    ---- dgdgdd<42,8> --->
    psi; psi; phi
    ---- gdgdd<42,8> --->
    Query:[ (\l.\r.l+r) [5] 3 @ * ]
      h
    [ (\l.\r.l+r) [5] 3 @ * ]:Answer
    ---- dgdgdd<42,8> --->
    psi; e; phi; phi
    ---- dd<0,gdgdd<42,8>> --->
    Query:[ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]
      h; v
      0 {
        psi
        ---- dgdd<42,8> --->
        Query:[ (\l.[\r.l+r]) 5 3 @ {_: *} ]
          h
        [ (\l.[\r.l+r]) 5 3 @ {_: *} ]:Answer
        ---- gdd<42,8> --->
        phi
      } 0
      u; h
    [ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]:Answer
    ---- dd<0,ggdd<42,8>> --->
    psi; psi; e'; phi
    ---- dggdd<42,8> --->
    Query:[ (\l.\r.l+r) [5] 3 @ * ]
      h
    [ (\l.\r.l+r) [5] 3 @ * ]:Answer
    ---- ggdd<42,8> --->
    psi; phi; phi
    ---- dggdd<42,8> --->
    Query:[ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]
      h
    [ [\l.\r.l+r] 5 3 @ {_: {_: *}} ]:Answer
    ---- ggdd<42,8> --->
    psi
  [ [(\l.\r.l+r) 5] 3 @ ({_: {_: *}}, *) ]:Answer
  ---- gdd<42,8> --->
  psi
[ [(\l.\r.l+r) 5 3] @ (({_: {_: *}}, *), *) ]:Answer
---- dd<42,8> --->
Result: 8 / State: (({_: {_: *}}, *), *)
####################################################################################################
parsed: Apply (Abst "x" (Apply (Apply (Abst "l" (Abst "r" (Sum "l" "r"))) (Variable "x")) (Variable "x"))) (ConstN 3)
====================================================================================================
---- dd<42,137> --->
Query:[ [(\x.(\l.\r.l+r) x x) 3] @ ({_: (({_: {_: *}}, *), *)}, *) ]
  phi
  ---- gdd<42,137> --->
  Query:[ [\x.(\l.\r.l+r) x x] 3 @ {_: (({_: {_: *}}, *), *)} ]
    h
  [ [\x.(\l.\r.l+r) x x] 3 @ {_: (({_: {_: *}}, *), *)} ]:Answer
  ---- dgdd<42,137> --->
  psi; psi; phi
  ---- gdd<42,137> --->
  Query:[ (\x.(\l.\r.l+r) x x) [3] @ * ]
    h
  [ (\x.(\l.\r.l+r) x x) [3] @ * ]:Answer
  ---- dgdd<42,137> --->
  psi; e; phi; phi
  ---- dd<0,gdd<42,137>> --->
  Query:[ [\x.(\l.\r.l+r) x x] 3 @ {_: (({_: {_: *}}, *), *)} ]
    h; v
    0 {
      psi
      ---- dd<42,137> --->
      Query:[ (\x.[(\l.\r.l+r) x x]) 3 @ (({_: {_: *}}, *), *) ]
        phi
        ---- gdd<42,137> --->
        Query:[ (\x.[(\l.\r.l+r) x] x) 3 @ ({_: {_: *}}, *) ]
          phi
          ---- ggdd<42,137> --->
          Query:[ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]
            h
          [ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]:Answer
          ---- dggdd<42,137> --->
          psi; psi; phi
          ---- ggdd<42,137> --->
          Query:[ (\x.(\l.\r.l+r) [x] x) 3 @ * ]
            h
          [ (\x.(\l.\r.l+r) [x] x) 3 @ * ]:Answer
          ---- dggdd<42,137> --->
          psi; e; phi; phi
          ---- dd<0,ggdd<42,137>> --->
          Query:[ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]
            h; v
            0 {
              psi
              ---- gdd<42,137> --->
              Query:[ (\x.(\l.[\r.l+r]) x x) 3 @ {_: *} ]
                h
              [ (\x.(\l.[\r.l+r]) x x) 3 @ {_: *} ]:Answer
              ---- dgdd<42,137> --->
              phi
            } 0
            u; h
          [ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]:Answer
          ---- dd<0,gdgdd<42,137>> --->
          psi; psi; e'; phi
          ---- dgdgdd<42,137> --->
          Query:[ (\x.(\l.\r.l+r) [x] x) 3 @ * ]
            h
          [ (\x.(\l.\r.l+r) [x] x) 3 @ * ]:Answer
          ---- gdgdd<42,137> --->
          psi; phi; phi
          ---- dgdgdd<42,137> --->
          Query:[ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]
            h
          [ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]:Answer
          ---- gdgdd<42,137> --->
          psi
        [ (\x.[(\l.\r.l+r) x] x) 3 @ ({_: {_: *}}, *) ]:Answer
        ---- dgdd<42,137> --->
        psi; psi; phi
        ---- gdd<42,137> --->
        Query:[ (\x.(\l.\r.l+r) x [x]) 3 @ * ]
          h
        [ (\x.(\l.\r.l+r) x [x]) 3 @ * ]:Answer
        ---- dgdd<42,137> --->
        psi; e; phi; phi
        ---- dd<0,gdd<42,137>> --->
        Query:[ (\x.[(\l.\r.l+r) x] x) 3 @ ({_: {_: *}}, *) ]
          phi
          ---- gdd<0,gdd<42,137>> --->
          Query:[ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]
            h
          [ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]:Answer
          ---- dgdd<0,gdd<42,137>> --->
          psi; psi; phi
          ---- gdd<0,gdd<42,137>> --->
          Query:[ (\x.(\l.\r.l+r) [x] x) 3 @ * ]
            h
          [ (\x.(\l.\r.l+r) [x] x) 3 @ * ]:Answer
          ---- dgdd<0,gdd<42,137>> --->
          psi; e; phi; phi
          ---- dd<0,gdd<0,gdd<42,137>>> --->
          Query:[ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]
            h; v
            0 {
              psi
              ---- dd<0,gdd<42,137>> --->
              Query:[ (\x.(\l.[\r.l+r]) x x) 3 @ {_: *} ]
                h; v
                0 {
                  psi
                  ---- dd<42,137> --->
                  Query:[ (\x.(\l.\r.[l+r]) x x) 3 @ * ]
                    h; sum
                  [ (\x.(\l.\r.[l+r]) x x) 3 @ * ]:Query l
                  ---- <42,137> --->
                } 0
                u; d
              [ (\x.(\l.[\r.l+r]) x x) 3 @ {_: *} ]:Query l
              ---- <<0,42>,137> --->
              phi
            } 0
            u; h
          [ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]:Answer
          ---- dd<0,d<<0,42>,137>> --->
          psi; psi; e'; phi
          ---- dd<<0,42>,137> --->
          Query:[ (\x.(\l.\r.l+r) [x] x) 3 @ * ]
            h
          [ (\x.(\l.\r.l+r) [x] x) 3 @ * ]:Query x
          ---- <<0,42>,137> --->
          c
        [ (\x.[(\l.\r.l+r) x] x) 3 @ ({_: {_: *}}, *) ]:Query x
        ---- <d<0,42>,137> --->
        c
      [ (\x.[(\l.\r.l+r) x x]) 3 @ (({_: {_: *}}, *), *) ]:Query x
      ---- <gd<0,42>,137> --->
      phi
    } 0
    u; h
  [ [\x.(\l.\r.l+r) x x] 3 @ {_: (({_: {_: *}}, *), *)} ]:Answer
  ---- dd<0,d<gd<0,42>,137>> --->
  psi; psi; e'; phi
  ---- dd<gd<0,42>,137> --->
  Query:[ (\x.(\l.\r.l+r) x x) [3] @ * ]
    h; k_3; h
  [ (\x.(\l.\r.l+r) x x) [3] @ * ]:Answer
  ---- dd<gd<0,42>,3> --->
  psi; e; phi; phi
  ---- dd<0,d<gd<0,42>,3>> --->
  Query:[ [\x.(\l.\r.l+r) x x] 3 @ {_: (({_: {_: *}}, *), *)} ]
    h; v
    0 {
      psi
      ---- <gd<0,42>,3> --->
      Answer x:[ (\x.[(\l.\r.l+r) x x]) 3 @ (({_: {_: *}}, *), *) ]
        c'
        ---- <d<0,42>,3> --->
        Answer x:[ (\x.[(\l.\r.l+r) x] x) 3 @ ({_: {_: *}}, *) ]
          c'
          ---- <<0,42>,3> --->
          Answer x:[ (\x.(\l.\r.l+r) [x] x) 3 @ * ]
            h
          [ (\x.(\l.\r.l+r) [x] x) 3 @ * ]:Answer
          ---- dd<<0,42>,3> --->
          psi; e; phi; phi
          ---- dd<0,d<<0,42>,3>> --->
          Query:[ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]
            h; v
            0 {
              psi
              ---- <<0,42>,3> --->
              Answer l:[ (\x.(\l.[\r.l+r]) x x) 3 @ {_: *} ]
                d'; v
                0 {
                  ---- <42,3> --->
                  Answer l:[ (\x.(\l.\r.[l+r]) x x) 3 @ * ]
                    sum
                  [ (\x.(\l.\r.[l+r]) x x) 3 @ * ]:Query r
                  ---- <<42,3>,0> --->
                  phi
                } 0
                u; h
              [ (\x.(\l.[\r.l+r]) x x) 3 @ {_: *} ]:Answer
              ---- dd<0,d<<42,3>,0>> --->
              phi
            } 0
            u; h
          [ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]:Answer
          ---- dd<0,gdd<0,d<<42,3>,0>>> --->
          psi; psi; e'; phi
          ---- dgdd<0,d<<42,3>,0>> --->
          Query:[ (\x.(\l.\r.l+r) [x] x) 3 @ * ]
            h
          [ (\x.(\l.\r.l+r) [x] x) 3 @ * ]:Answer
          ---- gdd<0,d<<42,3>,0>> --->
          psi; phi; phi
          ---- dgdd<0,d<<42,3>,0>> --->
          Query:[ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]
            h
          [ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]:Answer
          ---- gdd<0,d<<42,3>,0>> --->
          psi
        [ (\x.[(\l.\r.l+r) x] x) 3 @ ({_: {_: *}}, *) ]:Answer
        ---- dd<0,d<<42,3>,0>> --->
        psi; psi; e'; phi
        ---- dd<<42,3>,0> --->
        Query:[ (\x.(\l.\r.l+r) x [x]) 3 @ * ]
          h
        [ (\x.(\l.\r.l+r) x [x]) 3 @ * ]:Query x
        ---- <<42,3>,0> --->
        c
      [ (\x.[(\l.\r.l+r) x x]) 3 @ (({_: {_: *}}, *), *) ]:Query x
      ---- <d<42,3>,0> --->
      phi
    } 0
    u; h
  [ [\x.(\l.\r.l+r) x x] 3 @ {_: (({_: {_: *}}, *), *)} ]:Answer
  ---- dd<0,d<d<42,3>,0>> --->
  psi; psi; e'; phi
  ---- dd<d<42,3>,0> --->
  Query:[ (\x.(\l.\r.l+r) x x) [3] @ * ]
    h; k_3; h
  [ (\x.(\l.\r.l+r) x x) [3] @ * ]:Answer
  ---- dd<d<42,3>,3> --->
  psi; e; phi; phi
  ---- dd<0,d<d<42,3>,3>> --->
  Query:[ [\x.(\l.\r.l+r) x x] 3 @ {_: (({_: {_: *}}, *), *)} ]
    h; v
    0 {
      psi
      ---- <d<42,3>,3> --->
      Answer x:[ (\x.[(\l.\r.l+r) x x]) 3 @ (({_: {_: *}}, *), *) ]
        c'
        ---- <<42,3>,3> --->
        Answer x:[ (\x.(\l.\r.l+r) x [x]) 3 @ * ]
          h
        [ (\x.(\l.\r.l+r) x [x]) 3 @ * ]:Answer
        ---- dd<<42,3>,3> --->
        psi; e; phi; phi
        ---- dd<0,d<<42,3>,3>> --->
        Query:[ (\x.[(\l.\r.l+r) x] x) 3 @ ({_: {_: *}}, *) ]
          phi
          ---- gdd<0,d<<42,3>,3>> --->
          Query:[ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]
            h
          [ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]:Answer
          ---- dgdd<0,d<<42,3>,3>> --->
          psi; psi; phi
          ---- gdd<0,d<<42,3>,3>> --->
          Query:[ (\x.(\l.\r.l+r) [x] x) 3 @ * ]
            h
          [ (\x.(\l.\r.l+r) [x] x) 3 @ * ]:Answer
          ---- dgdd<0,d<<42,3>,3>> --->
          psi; e; phi; phi
          ---- dd<0,gdd<0,d<<42,3>,3>>> --->
          Query:[ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]
            h; v
            0 {
              psi
              ---- dd<0,d<<42,3>,3>> --->
              Query:[ (\x.(\l.[\r.l+r]) x x) 3 @ {_: *} ]
                h; v
                0 {
                  psi
                  ---- <<42,3>,3> --->
                  Answer r:[ (\x.(\l.\r.[l+r]) x x) 3 @ * ]
                    sum; h
                  [ (\x.(\l.\r.[l+r]) x x) 3 @ * ]:Answer
                  ---- dd<42,6> --->
                  phi
                } 0
                u; h
              [ (\x.(\l.[\r.l+r]) x x) 3 @ {_: *} ]:Answer
              ---- dd<0,gdd<42,6>> --->
              phi
            } 0
            u; h
          [ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]:Answer
          ---- dd<0,gdd<0,gdd<42,6>>> --->
          psi; psi; e'; phi
          ---- dgdd<0,gdd<42,6>> --->
          Query:[ (\x.(\l.\r.l+r) [x] x) 3 @ * ]
            h
          [ (\x.(\l.\r.l+r) [x] x) 3 @ * ]:Answer
          ---- gdd<0,gdd<42,6>> --->
          psi; phi; phi
          ---- dgdd<0,gdd<42,6>> --->
          Query:[ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]
            h
          [ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]:Answer
          ---- gdd<0,gdd<42,6>> --->
          psi
        [ (\x.[(\l.\r.l+r) x] x) 3 @ ({_: {_: *}}, *) ]:Answer
        ---- dd<0,gdd<42,6>> --->
        psi; psi; e'; phi
        ---- dgdd<42,6> --->
        Query:[ (\x.(\l.\r.l+r) x [x]) 3 @ * ]
          h
        [ (\x.(\l.\r.l+r) x [x]) 3 @ * ]:Answer
        ---- gdd<42,6> --->
        psi; phi; phi
        ---- dgdd<42,6> --->
        Query:[ (\x.[(\l.\r.l+r) x] x) 3 @ ({_: {_: *}}, *) ]
          phi
          ---- gdgdd<42,6> --->
          Query:[ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]
            h
          [ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]:Answer
          ---- dgdgdd<42,6> --->
          psi; psi; phi
          ---- gdgdd<42,6> --->
          Query:[ (\x.(\l.\r.l+r) [x] x) 3 @ * ]
            h
          [ (\x.(\l.\r.l+r) [x] x) 3 @ * ]:Answer
          ---- dgdgdd<42,6> --->
          psi; e; phi; phi
          ---- dd<0,gdgdd<42,6>> --->
          Query:[ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]
            h; v
            0 {
              psi
              ---- dgdd<42,6> --->
              Query:[ (\x.(\l.[\r.l+r]) x x) 3 @ {_: *} ]
                h
              [ (\x.(\l.[\r.l+r]) x x) 3 @ {_: *} ]:Answer
              ---- gdd<42,6> --->
              phi
            } 0
            u; h
          [ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]:Answer
          ---- dd<0,ggdd<42,6>> --->
          psi; psi; e'; phi
          ---- dggdd<42,6> --->
          Query:[ (\x.(\l.\r.l+r) [x] x) 3 @ * ]
            h
          [ (\x.(\l.\r.l+r) [x] x) 3 @ * ]:Answer
          ---- ggdd<42,6> --->
          psi; phi; phi
          ---- dggdd<42,6> --->
          Query:[ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]
            h
          [ (\x.[\l.\r.l+r] x x) 3 @ {_: {_: *}} ]:Answer
          ---- ggdd<42,6> --->
          psi
        [ (\x.[(\l.\r.l+r) x] x) 3 @ ({_: {_: *}}, *) ]:Answer
        ---- gdd<42,6> --->
        psi
      [ (\x.[(\l.\r.l+r) x x]) 3 @ (({_: {_: *}}, *), *) ]:Answer
      ---- dd<42,6> --->
      phi
    } 0
    u; h
  [ [\x.(\l.\r.l+r) x x] 3 @ {_: (({_: {_: *}}, *), *)} ]:Answer
  ---- dd<0,gdd<42,6>> --->
  psi; psi; e'; phi
  ---- dgdd<42,6> --->
  Query:[ (\x.(\l.\r.l+r) x x) [3] @ * ]
    h
  [ (\x.(\l.\r.l+r) x x) [3] @ * ]:Answer
  ---- gdd<42,6> --->
  psi; phi; phi
  ---- dgdd<42,6> --->
  Query:[ [\x.(\l.\r.l+r) x x] 3 @ {_: (({_: {_: *}}, *), *)} ]
    h
  [ [\x.(\l.\r.l+r) x x] 3 @ {_: (({_: {_: *}}, *), *)} ]:Answer
  ---- gdd<42,6> --->
  psi
[ [(\x.(\l.\r.l+r) x x) 3] @ ({_: (({_: {_: *}}, *), *)}, *) ]:Answer
---- dd<42,6> --->
Result: 6 / State: ({_: (({_: {_: *}}, *), *)}, *)
####################################################################################################
parsed: Apply (Abst "x" (Apply (Apply (Abst "l" (Abst "r" (Sum "l" "r"))) (Variable "x")) (Variable "x"))) (Oplus (ConstN 3) (ConstN 5))
====================================================================================================
.    ---- dd<42,137> --->
|    Query:[ [(\x.(\l.\r.l+r) x x) (3|_|5)] @ ({_: (({_: {_: *}}, *), *)}, Nothing) ]
|      phi
|      ---- gdd<42,137> --->
|      Query:[ [\x.(\l.\r.l+r) x x] (3|_|5) @ {_: (({_: {_: *}}, *), *)} ]
|        h
|      [ [\x.(\l.\r.l+r) x x] (3|_|5) @ {_: (({_: {_: *}}, *), *)} ]:Answer
|      ---- dgdd<42,137> --->
|      psi; psi; phi
|      ---- gdd<42,137> --->
|      Query:[ (\x.(\l.\r.l+r) x x) [3|_|5] @ Nothing ]
|        *** algebraic operation *** : nondeterministic choice
+-.      ---- gdd<42,137> --->
| |      Query:[ (\x.(\l.\r.l+r) x x) ([3]|_|5) @ * ]
| |        h
| |      [ (\x.(\l.\r.l+r) x x) ([3]|_|5) @ * ]:Answer
| |      ---- dgdd<42,137> --->
| |    [ (\x.(\l.\r.l+r) x x) [3|_|5] @ Just (Left (*)) ]:Answer
| |    ---- dgdd<42,137> --->
| |    psi; e; phi; phi
| |    ---- dd<0,gdd<42,137>> --->
| |    Query:[ [\x.(\l.\r.l+r) x x] (3|_|5) @ {_: (({_: {_: *}}, *), *)} ]
| |      h; v
| |      0 {
| |        psi
| |        ---- dd<42,137> --->
| |        Query:[ (\x.[(\l.\r.l+r) x x]) (3|_|5) @ (({_: {_: *}}, *), *) ]
| |          phi
| |          ---- gdd<42,137> --->
| |          Query:[ (\x.[(\l.\r.l+r) x] x) (3|_|5) @ ({_: {_: *}}, *) ]
| |            phi
| |            ---- ggdd<42,137> --->
| |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
| |              h
| |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
| |            ---- dggdd<42,137> --->
| |            psi; psi; phi
| |            ---- ggdd<42,137> --->
| |            Query:[ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]
| |              h
| |            [ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]:Answer
| |            ---- dggdd<42,137> --->
| |            psi; e; phi; phi
| |            ---- dd<0,ggdd<42,137>> --->
| |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
| |              h; v
| |              0 {
| |                psi
| |                ---- gdd<42,137> --->
| |                Query:[ (\x.(\l.[\r.l+r]) x x) (3|_|5) @ {_: *} ]
| |                  h
| |                [ (\x.(\l.[\r.l+r]) x x) (3|_|5) @ {_: *} ]:Answer
| |                ---- dgdd<42,137> --->
| |                phi
| |              } 0
| |              u; h
| |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
| |            ---- dd<0,gdgdd<42,137>> --->
| |            psi; psi; e'; phi
| |            ---- dgdgdd<42,137> --->
| |            Query:[ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]
| |              h
| |            [ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]:Answer
| |            ---- gdgdd<42,137> --->
| |            psi; phi; phi
| |            ---- dgdgdd<42,137> --->
| |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
| |              h
| |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
| |            ---- gdgdd<42,137> --->
| |            psi
| |          [ (\x.[(\l.\r.l+r) x] x) (3|_|5) @ ({_: {_: *}}, *) ]:Answer
| |          ---- dgdd<42,137> --->
| |          psi; psi; phi
| |          ---- gdd<42,137> --->
| |          Query:[ (\x.(\l.\r.l+r) x [x]) (3|_|5) @ * ]
| |            h
| |          [ (\x.(\l.\r.l+r) x [x]) (3|_|5) @ * ]:Answer
| |          ---- dgdd<42,137> --->
| |          psi; e; phi; phi
| |          ---- dd<0,gdd<42,137>> --->
| |          Query:[ (\x.[(\l.\r.l+r) x] x) (3|_|5) @ ({_: {_: *}}, *) ]
| |            phi
| |            ---- gdd<0,gdd<42,137>> --->
| |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
| |              h
| |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
| |            ---- dgdd<0,gdd<42,137>> --->
| |            psi; psi; phi
| |            ---- gdd<0,gdd<42,137>> --->
| |            Query:[ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]
| |              h
| |            [ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]:Answer
| |            ---- dgdd<0,gdd<42,137>> --->
| |            psi; e; phi; phi
| |            ---- dd<0,gdd<0,gdd<42,137>>> --->
| |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
| |              h; v
| |              0 {
| |                psi
| |                ---- dd<0,gdd<42,137>> --->
| |                Query:[ (\x.(\l.[\r.l+r]) x x) (3|_|5) @ {_: *} ]
| |                  h; v
| |                  0 {
| |                    psi
| |                    ---- dd<42,137> --->
| |                    Query:[ (\x.(\l.\r.[l+r]) x x) (3|_|5) @ * ]
| |                      h; sum
| |                    [ (\x.(\l.\r.[l+r]) x x) (3|_|5) @ * ]:Query l
| |                    ---- <42,137> --->
| |                  } 0
| |                  u; d
| |                [ (\x.(\l.[\r.l+r]) x x) (3|_|5) @ {_: *} ]:Query l
| |                ---- <<0,42>,137> --->
| |                phi
| |              } 0
| |              u; h
| |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
| |            ---- dd<0,d<<0,42>,137>> --->
| |            psi; psi; e'; phi
| |            ---- dd<<0,42>,137> --->
| |            Query:[ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]
| |              h
| |            [ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]:Query x
| |            ---- <<0,42>,137> --->
| |            c
| |          [ (\x.[(\l.\r.l+r) x] x) (3|_|5) @ ({_: {_: *}}, *) ]:Query x
| |          ---- <d<0,42>,137> --->
| |          c
| |        [ (\x.[(\l.\r.l+r) x x]) (3|_|5) @ (({_: {_: *}}, *), *) ]:Query x
| |        ---- <gd<0,42>,137> --->
| |        phi
| |      } 0
| |      u; h
| |    [ [\x.(\l.\r.l+r) x x] (3|_|5) @ {_: (({_: {_: *}}, *), *)} ]:Answer
| |    ---- dd<0,d<gd<0,42>,137>> --->
| |    psi; psi; e'; phi
| |    ---- dd<gd<0,42>,137> --->
| |    Query:[ (\x.(\l.\r.l+r) x x) [3|_|5] @ Just (Left (*)) ]
| |      ---- dd<gd<0,42>,137> --->
| |      Query:[ (\x.(\l.\r.l+r) x x) ([3]|_|5) @ * ]
| |        h; k_3; h
| |      [ (\x.(\l.\r.l+r) x x) ([3]|_|5) @ * ]:Answer
| |      ---- dd<gd<0,42>,3> --->
| |    [ (\x.(\l.\r.l+r) x x) [3|_|5] @ Just (Left (*)) ]:Answer
| |    ---- dd<gd<0,42>,3> --->
| |    psi; e; phi; phi
| |    ---- dd<0,d<gd<0,42>,3>> --->
| |    Query:[ [\x.(\l.\r.l+r) x x] (3|_|5) @ {_: (({_: {_: *}}, *), *)} ]
| |      h; v
| |      0 {
| |        psi
| |        ---- <gd<0,42>,3> --->
| |        Answer x:[ (\x.[(\l.\r.l+r) x x]) (3|_|5) @ (({_: {_: *}}, *), *) ]
| |          c'
| |          ---- <d<0,42>,3> --->
| |          Answer x:[ (\x.[(\l.\r.l+r) x] x) (3|_|5) @ ({_: {_: *}}, *) ]
| |            c'
| |            ---- <<0,42>,3> --->
| |            Answer x:[ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]
| |              h
| |            [ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]:Answer
| |            ---- dd<<0,42>,3> --->
| |            psi; e; phi; phi
| |            ---- dd<0,d<<0,42>,3>> --->
| |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
| |              h; v
| |              0 {
| |                psi
| |                ---- <<0,42>,3> --->
| |                Answer l:[ (\x.(\l.[\r.l+r]) x x) (3|_|5) @ {_: *} ]
| |                  d'; v
| |                  0 {
| |                    ---- <42,3> --->
| |                    Answer l:[ (\x.(\l.\r.[l+r]) x x) (3|_|5) @ * ]
| |                      sum
| |                    [ (\x.(\l.\r.[l+r]) x x) (3|_|5) @ * ]:Query r
| |                    ---- <<42,3>,0> --->
| |                    phi
| |                  } 0
| |                  u; h
| |                [ (\x.(\l.[\r.l+r]) x x) (3|_|5) @ {_: *} ]:Answer
| |                ---- dd<0,d<<42,3>,0>> --->
| |                phi
| |              } 0
| |              u; h
| |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
| |            ---- dd<0,gdd<0,d<<42,3>,0>>> --->
| |            psi; psi; e'; phi
| |            ---- dgdd<0,d<<42,3>,0>> --->
| |            Query:[ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]
| |              h
| |            [ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]:Answer
| |            ---- gdd<0,d<<42,3>,0>> --->
| |            psi; phi; phi
| |            ---- dgdd<0,d<<42,3>,0>> --->
| |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
| |              h
| |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
| |            ---- gdd<0,d<<42,3>,0>> --->
| |            psi
| |          [ (\x.[(\l.\r.l+r) x] x) (3|_|5) @ ({_: {_: *}}, *) ]:Answer
| |          ---- dd<0,d<<42,3>,0>> --->
| |          psi; psi; e'; phi
| |          ---- dd<<42,3>,0> --->
| |          Query:[ (\x.(\l.\r.l+r) x [x]) (3|_|5) @ * ]
| |            h
| |          [ (\x.(\l.\r.l+r) x [x]) (3|_|5) @ * ]:Query x
| |          ---- <<42,3>,0> --->
| |          c
| |        [ (\x.[(\l.\r.l+r) x x]) (3|_|5) @ (({_: {_: *}}, *), *) ]:Query x
| |        ---- <d<42,3>,0> --->
| |        phi
| |      } 0
| |      u; h
| |    [ [\x.(\l.\r.l+r) x x] (3|_|5) @ {_: (({_: {_: *}}, *), *)} ]:Answer
| |    ---- dd<0,d<d<42,3>,0>> --->
| |    psi; psi; e'; phi
| |    ---- dd<d<42,3>,0> --->
| |    Query:[ (\x.(\l.\r.l+r) x x) [3|_|5] @ Just (Left (*)) ]
| |      ---- dd<d<42,3>,0> --->
| |      Query:[ (\x.(\l.\r.l+r) x x) ([3]|_|5) @ * ]
| |        h; k_3; h
| |      [ (\x.(\l.\r.l+r) x x) ([3]|_|5) @ * ]:Answer
| |      ---- dd<d<42,3>,3> --->
| |    [ (\x.(\l.\r.l+r) x x) [3|_|5] @ Just (Left (*)) ]:Answer
| |    ---- dd<d<42,3>,3> --->
| |    psi; e; phi; phi
| |    ---- dd<0,d<d<42,3>,3>> --->
| |    Query:[ [\x.(\l.\r.l+r) x x] (3|_|5) @ {_: (({_: {_: *}}, *), *)} ]
| |      h; v
| |      0 {
| |        psi
| |        ---- <d<42,3>,3> --->
| |        Answer x:[ (\x.[(\l.\r.l+r) x x]) (3|_|5) @ (({_: {_: *}}, *), *) ]
| |          c'
| |          ---- <<42,3>,3> --->
| |          Answer x:[ (\x.(\l.\r.l+r) x [x]) (3|_|5) @ * ]
| |            h
| |          [ (\x.(\l.\r.l+r) x [x]) (3|_|5) @ * ]:Answer
| |          ---- dd<<42,3>,3> --->
| |          psi; e; phi; phi
| |          ---- dd<0,d<<42,3>,3>> --->
| |          Query:[ (\x.[(\l.\r.l+r) x] x) (3|_|5) @ ({_: {_: *}}, *) ]
| |            phi
| |            ---- gdd<0,d<<42,3>,3>> --->
| |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
| |              h
| |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
| |            ---- dgdd<0,d<<42,3>,3>> --->
| |            psi; psi; phi
| |            ---- gdd<0,d<<42,3>,3>> --->
| |            Query:[ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]
| |              h
| |            [ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]:Answer
| |            ---- dgdd<0,d<<42,3>,3>> --->
| |            psi; e; phi; phi
| |            ---- dd<0,gdd<0,d<<42,3>,3>>> --->
| |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
| |              h; v
| |              0 {
| |                psi
| |                ---- dd<0,d<<42,3>,3>> --->
| |                Query:[ (\x.(\l.[\r.l+r]) x x) (3|_|5) @ {_: *} ]
| |                  h; v
| |                  0 {
| |                    psi
| |                    ---- <<42,3>,3> --->
| |                    Answer r:[ (\x.(\l.\r.[l+r]) x x) (3|_|5) @ * ]
| |                      sum; h
| |                    [ (\x.(\l.\r.[l+r]) x x) (3|_|5) @ * ]:Answer
| |                    ---- dd<42,6> --->
| |                    phi
| |                  } 0
| |                  u; h
| |                [ (\x.(\l.[\r.l+r]) x x) (3|_|5) @ {_: *} ]:Answer
| |                ---- dd<0,gdd<42,6>> --->
| |                phi
| |              } 0
| |              u; h
| |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
| |            ---- dd<0,gdd<0,gdd<42,6>>> --->
| |            psi; psi; e'; phi
| |            ---- dgdd<0,gdd<42,6>> --->
| |            Query:[ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]
| |              h
| |            [ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]:Answer
| |            ---- gdd<0,gdd<42,6>> --->
| |            psi; phi; phi
| |            ---- dgdd<0,gdd<42,6>> --->
| |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
| |              h
| |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
| |            ---- gdd<0,gdd<42,6>> --->
| |            psi
| |          [ (\x.[(\l.\r.l+r) x] x) (3|_|5) @ ({_: {_: *}}, *) ]:Answer
| |          ---- dd<0,gdd<42,6>> --->
| |          psi; psi; e'; phi
| |          ---- dgdd<42,6> --->
| |          Query:[ (\x.(\l.\r.l+r) x [x]) (3|_|5) @ * ]
| |            h
| |          [ (\x.(\l.\r.l+r) x [x]) (3|_|5) @ * ]:Answer
| |          ---- gdd<42,6> --->
| |          psi; phi; phi
| |          ---- dgdd<42,6> --->
| |          Query:[ (\x.[(\l.\r.l+r) x] x) (3|_|5) @ ({_: {_: *}}, *) ]
| |            phi
| |            ---- gdgdd<42,6> --->
| |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
| |              h
| |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
| |            ---- dgdgdd<42,6> --->
| |            psi; psi; phi
| |            ---- gdgdd<42,6> --->
| |            Query:[ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]
| |              h
| |            [ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]:Answer
| |            ---- dgdgdd<42,6> --->
| |            psi; e; phi; phi
| |            ---- dd<0,gdgdd<42,6>> --->
| |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
| |              h; v
| |              0 {
| |                psi
| |                ---- dgdd<42,6> --->
| |                Query:[ (\x.(\l.[\r.l+r]) x x) (3|_|5) @ {_: *} ]
| |                  h
| |                [ (\x.(\l.[\r.l+r]) x x) (3|_|5) @ {_: *} ]:Answer
| |                ---- gdd<42,6> --->
| |                phi
| |              } 0
| |              u; h
| |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
| |            ---- dd<0,ggdd<42,6>> --->
| |            psi; psi; e'; phi
| |            ---- dggdd<42,6> --->
| |            Query:[ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]
| |              h
| |            [ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]:Answer
| |            ---- ggdd<42,6> --->
| |            psi; phi; phi
| |            ---- dggdd<42,6> --->
| |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
| |              h
| |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
| |            ---- ggdd<42,6> --->
| |            psi
| |          [ (\x.[(\l.\r.l+r) x] x) (3|_|5) @ ({_: {_: *}}, *) ]:Answer
| |          ---- gdd<42,6> --->
| |          psi
| |        [ (\x.[(\l.\r.l+r) x x]) (3|_|5) @ (({_: {_: *}}, *), *) ]:Answer
| |        ---- dd<42,6> --->
| |        phi
| |      } 0
| |      u; h
| |    [ [\x.(\l.\r.l+r) x x] (3|_|5) @ {_: (({_: {_: *}}, *), *)} ]:Answer
| |    ---- dd<0,gdd<42,6>> --->
| |    psi; psi; e'; phi
| |    ---- dgdd<42,6> --->
| |    Query:[ (\x.(\l.\r.l+r) x x) [3|_|5] @ Just (Left (*)) ]
| |      ---- dgdd<42,6> --->
| |      Query:[ (\x.(\l.\r.l+r) x x) ([3]|_|5) @ * ]
| |        h
| |      [ (\x.(\l.\r.l+r) x x) ([3]|_|5) @ * ]:Answer
| |      ---- gdd<42,6> --->
| |    [ (\x.(\l.\r.l+r) x x) [3|_|5] @ Just (Left (*)) ]:Answer
| |    ---- gdd<42,6> --->
| |    psi; phi; phi
| |    ---- dgdd<42,6> --->
| |    Query:[ [\x.(\l.\r.l+r) x x] (3|_|5) @ {_: (({_: {_: *}}, *), *)} ]
| |      h
| |    [ [\x.(\l.\r.l+r) x x] (3|_|5) @ {_: (({_: {_: *}}, *), *)} ]:Answer
| |    ---- gdd<42,6> --->
| |    psi
| |  [ [(\x.(\l.\r.l+r) x x) (3|_|5)] @ ({_: (({_: {_: *}}, *), *)}, Just (Left (*))) ]:Answer
| |  ---- dd<42,6> --->
| Result: 6 / State: ({_: (({_: {_: *}}, *), *)}, Just (Left (*)))
`-.      ---- gdd<42,137> --->
  |      Query:[ (\x.(\l.\r.l+r) x x) (3|_|[5]) @ * ]
  |        h
  |      [ (\x.(\l.\r.l+r) x x) (3|_|[5]) @ * ]:Answer
  |      ---- dgdd<42,137> --->
  |    [ (\x.(\l.\r.l+r) x x) [3|_|5] @ Just (Right (*)) ]:Answer
  |    ---- dgdd<42,137> --->
  |    psi; e; phi; phi
  |    ---- dd<0,gdd<42,137>> --->
  |    Query:[ [\x.(\l.\r.l+r) x x] (3|_|5) @ {_: (({_: {_: *}}, *), *)} ]
  |      h; v
  |      0 {
  |        psi
  |        ---- dd<42,137> --->
  |        Query:[ (\x.[(\l.\r.l+r) x x]) (3|_|5) @ (({_: {_: *}}, *), *) ]
  |          phi
  |          ---- gdd<42,137> --->
  |          Query:[ (\x.[(\l.\r.l+r) x] x) (3|_|5) @ ({_: {_: *}}, *) ]
  |            phi
  |            ---- ggdd<42,137> --->
  |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
  |              h
  |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
  |            ---- dggdd<42,137> --->
  |            psi; psi; phi
  |            ---- ggdd<42,137> --->
  |            Query:[ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]
  |              h
  |            [ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]:Answer
  |            ---- dggdd<42,137> --->
  |            psi; e; phi; phi
  |            ---- dd<0,ggdd<42,137>> --->
  |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
  |              h; v
  |              0 {
  |                psi
  |                ---- gdd<42,137> --->
  |                Query:[ (\x.(\l.[\r.l+r]) x x) (3|_|5) @ {_: *} ]
  |                  h
  |                [ (\x.(\l.[\r.l+r]) x x) (3|_|5) @ {_: *} ]:Answer
  |                ---- dgdd<42,137> --->
  |                phi
  |              } 0
  |              u; h
  |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
  |            ---- dd<0,gdgdd<42,137>> --->
  |            psi; psi; e'; phi
  |            ---- dgdgdd<42,137> --->
  |            Query:[ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]
  |              h
  |            [ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]:Answer
  |            ---- gdgdd<42,137> --->
  |            psi; phi; phi
  |            ---- dgdgdd<42,137> --->
  |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
  |              h
  |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
  |            ---- gdgdd<42,137> --->
  |            psi
  |          [ (\x.[(\l.\r.l+r) x] x) (3|_|5) @ ({_: {_: *}}, *) ]:Answer
  |          ---- dgdd<42,137> --->
  |          psi; psi; phi
  |          ---- gdd<42,137> --->
  |          Query:[ (\x.(\l.\r.l+r) x [x]) (3|_|5) @ * ]
  |            h
  |          [ (\x.(\l.\r.l+r) x [x]) (3|_|5) @ * ]:Answer
  |          ---- dgdd<42,137> --->
  |          psi; e; phi; phi
  |          ---- dd<0,gdd<42,137>> --->
  |          Query:[ (\x.[(\l.\r.l+r) x] x) (3|_|5) @ ({_: {_: *}}, *) ]
  |            phi
  |            ---- gdd<0,gdd<42,137>> --->
  |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
  |              h
  |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
  |            ---- dgdd<0,gdd<42,137>> --->
  |            psi; psi; phi
  |            ---- gdd<0,gdd<42,137>> --->
  |            Query:[ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]
  |              h
  |            [ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]:Answer
  |            ---- dgdd<0,gdd<42,137>> --->
  |            psi; e; phi; phi
  |            ---- dd<0,gdd<0,gdd<42,137>>> --->
  |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
  |              h; v
  |              0 {
  |                psi
  |                ---- dd<0,gdd<42,137>> --->
  |                Query:[ (\x.(\l.[\r.l+r]) x x) (3|_|5) @ {_: *} ]
  |                  h; v
  |                  0 {
  |                    psi
  |                    ---- dd<42,137> --->
  |                    Query:[ (\x.(\l.\r.[l+r]) x x) (3|_|5) @ * ]
  |                      h; sum
  |                    [ (\x.(\l.\r.[l+r]) x x) (3|_|5) @ * ]:Query l
  |                    ---- <42,137> --->
  |                  } 0
  |                  u; d
  |                [ (\x.(\l.[\r.l+r]) x x) (3|_|5) @ {_: *} ]:Query l
  |                ---- <<0,42>,137> --->
  |                phi
  |              } 0
  |              u; h
  |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
  |            ---- dd<0,d<<0,42>,137>> --->
  |            psi; psi; e'; phi
  |            ---- dd<<0,42>,137> --->
  |            Query:[ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]
  |              h
  |            [ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]:Query x
  |            ---- <<0,42>,137> --->
  |            c
  |          [ (\x.[(\l.\r.l+r) x] x) (3|_|5) @ ({_: {_: *}}, *) ]:Query x
  |          ---- <d<0,42>,137> --->
  |          c
  |        [ (\x.[(\l.\r.l+r) x x]) (3|_|5) @ (({_: {_: *}}, *), *) ]:Query x
  |        ---- <gd<0,42>,137> --->
  |        phi
  |      } 0
  |      u; h
  |    [ [\x.(\l.\r.l+r) x x] (3|_|5) @ {_: (({_: {_: *}}, *), *)} ]:Answer
  |    ---- dd<0,d<gd<0,42>,137>> --->
  |    psi; psi; e'; phi
  |    ---- dd<gd<0,42>,137> --->
  |    Query:[ (\x.(\l.\r.l+r) x x) [3|_|5] @ Just (Right (*)) ]
  |      ---- dd<gd<0,42>,137> --->
  |      Query:[ (\x.(\l.\r.l+r) x x) (3|_|[5]) @ * ]
  |        h; k_5; h
  |      [ (\x.(\l.\r.l+r) x x) (3|_|[5]) @ * ]:Answer
  |      ---- dd<gd<0,42>,5> --->
  |    [ (\x.(\l.\r.l+r) x x) [3|_|5] @ Just (Right (*)) ]:Answer
  |    ---- dd<gd<0,42>,5> --->
  |    psi; e; phi; phi
  |    ---- dd<0,d<gd<0,42>,5>> --->
  |    Query:[ [\x.(\l.\r.l+r) x x] (3|_|5) @ {_: (({_: {_: *}}, *), *)} ]
  |      h; v
  |      0 {
  |        psi
  |        ---- <gd<0,42>,5> --->
  |        Answer x:[ (\x.[(\l.\r.l+r) x x]) (3|_|5) @ (({_: {_: *}}, *), *) ]
  |          c'
  |          ---- <d<0,42>,5> --->
  |          Answer x:[ (\x.[(\l.\r.l+r) x] x) (3|_|5) @ ({_: {_: *}}, *) ]
  |            c'
  |            ---- <<0,42>,5> --->
  |            Answer x:[ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]
  |              h
  |            [ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]:Answer
  |            ---- dd<<0,42>,5> --->
  |            psi; e; phi; phi
  |            ---- dd<0,d<<0,42>,5>> --->
  |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
  |              h; v
  |              0 {
  |                psi
  |                ---- <<0,42>,5> --->
  |                Answer l:[ (\x.(\l.[\r.l+r]) x x) (3|_|5) @ {_: *} ]
  |                  d'; v
  |                  0 {
  |                    ---- <42,5> --->
  |                    Answer l:[ (\x.(\l.\r.[l+r]) x x) (3|_|5) @ * ]
  |                      sum
  |                    [ (\x.(\l.\r.[l+r]) x x) (3|_|5) @ * ]:Query r
  |                    ---- <<42,5>,0> --->
  |                    phi
  |                  } 0
  |                  u; h
  |                [ (\x.(\l.[\r.l+r]) x x) (3|_|5) @ {_: *} ]:Answer
  |                ---- dd<0,d<<42,5>,0>> --->
  |                phi
  |              } 0
  |              u; h
  |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
  |            ---- dd<0,gdd<0,d<<42,5>,0>>> --->
  |            psi; psi; e'; phi
  |            ---- dgdd<0,d<<42,5>,0>> --->
  |            Query:[ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]
  |              h
  |            [ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]:Answer
  |            ---- gdd<0,d<<42,5>,0>> --->
  |            psi; phi; phi
  |            ---- dgdd<0,d<<42,5>,0>> --->
  |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
  |              h
  |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
  |            ---- gdd<0,d<<42,5>,0>> --->
  |            psi
  |          [ (\x.[(\l.\r.l+r) x] x) (3|_|5) @ ({_: {_: *}}, *) ]:Answer
  |          ---- dd<0,d<<42,5>,0>> --->
  |          psi; psi; e'; phi
  |          ---- dd<<42,5>,0> --->
  |          Query:[ (\x.(\l.\r.l+r) x [x]) (3|_|5) @ * ]
  |            h
  |          [ (\x.(\l.\r.l+r) x [x]) (3|_|5) @ * ]:Query x
  |          ---- <<42,5>,0> --->
  |          c
  |        [ (\x.[(\l.\r.l+r) x x]) (3|_|5) @ (({_: {_: *}}, *), *) ]:Query x
  |        ---- <d<42,5>,0> --->
  |        phi
  |      } 0
  |      u; h
  |    [ [\x.(\l.\r.l+r) x x] (3|_|5) @ {_: (({_: {_: *}}, *), *)} ]:Answer
  |    ---- dd<0,d<d<42,5>,0>> --->
  |    psi; psi; e'; phi
  |    ---- dd<d<42,5>,0> --->
  |    Query:[ (\x.(\l.\r.l+r) x x) [3|_|5] @ Just (Right (*)) ]
  |      ---- dd<d<42,5>,0> --->
  |      Query:[ (\x.(\l.\r.l+r) x x) (3|_|[5]) @ * ]
  |        h; k_5; h
  |      [ (\x.(\l.\r.l+r) x x) (3|_|[5]) @ * ]:Answer
  |      ---- dd<d<42,5>,5> --->
  |    [ (\x.(\l.\r.l+r) x x) [3|_|5] @ Just (Right (*)) ]:Answer
  |    ---- dd<d<42,5>,5> --->
  |    psi; e; phi; phi
  |    ---- dd<0,d<d<42,5>,5>> --->
  |    Query:[ [\x.(\l.\r.l+r) x x] (3|_|5) @ {_: (({_: {_: *}}, *), *)} ]
  |      h; v
  |      0 {
  |        psi
  |        ---- <d<42,5>,5> --->
  |        Answer x:[ (\x.[(\l.\r.l+r) x x]) (3|_|5) @ (({_: {_: *}}, *), *) ]
  |          c'
  |          ---- <<42,5>,5> --->
  |          Answer x:[ (\x.(\l.\r.l+r) x [x]) (3|_|5) @ * ]
  |            h
  |          [ (\x.(\l.\r.l+r) x [x]) (3|_|5) @ * ]:Answer
  |          ---- dd<<42,5>,5> --->
  |          psi; e; phi; phi
  |          ---- dd<0,d<<42,5>,5>> --->
  |          Query:[ (\x.[(\l.\r.l+r) x] x) (3|_|5) @ ({_: {_: *}}, *) ]
  |            phi
  |            ---- gdd<0,d<<42,5>,5>> --->
  |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
  |              h
  |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
  |            ---- dgdd<0,d<<42,5>,5>> --->
  |            psi; psi; phi
  |            ---- gdd<0,d<<42,5>,5>> --->
  |            Query:[ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]
  |              h
  |            [ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]:Answer
  |            ---- dgdd<0,d<<42,5>,5>> --->
  |            psi; e; phi; phi
  |            ---- dd<0,gdd<0,d<<42,5>,5>>> --->
  |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
  |              h; v
  |              0 {
  |                psi
  |                ---- dd<0,d<<42,5>,5>> --->
  |                Query:[ (\x.(\l.[\r.l+r]) x x) (3|_|5) @ {_: *} ]
  |                  h; v
  |                  0 {
  |                    psi
  |                    ---- <<42,5>,5> --->
  |                    Answer r:[ (\x.(\l.\r.[l+r]) x x) (3|_|5) @ * ]
  |                      sum; h
  |                    [ (\x.(\l.\r.[l+r]) x x) (3|_|5) @ * ]:Answer
  |                    ---- dd<42,10> --->
  |                    phi
  |                  } 0
  |                  u; h
  |                [ (\x.(\l.[\r.l+r]) x x) (3|_|5) @ {_: *} ]:Answer
  |                ---- dd<0,gdd<42,10>> --->
  |                phi
  |              } 0
  |              u; h
  |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
  |            ---- dd<0,gdd<0,gdd<42,10>>> --->
  |            psi; psi; e'; phi
  |            ---- dgdd<0,gdd<42,10>> --->
  |            Query:[ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]
  |              h
  |            [ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]:Answer
  |            ---- gdd<0,gdd<42,10>> --->
  |            psi; phi; phi
  |            ---- dgdd<0,gdd<42,10>> --->
  |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
  |              h
  |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
  |            ---- gdd<0,gdd<42,10>> --->
  |            psi
  |          [ (\x.[(\l.\r.l+r) x] x) (3|_|5) @ ({_: {_: *}}, *) ]:Answer
  |          ---- dd<0,gdd<42,10>> --->
  |          psi; psi; e'; phi
  |          ---- dgdd<42,10> --->
  |          Query:[ (\x.(\l.\r.l+r) x [x]) (3|_|5) @ * ]
  |            h
  |          [ (\x.(\l.\r.l+r) x [x]) (3|_|5) @ * ]:Answer
  |          ---- gdd<42,10> --->
  |          psi; phi; phi
  |          ---- dgdd<42,10> --->
  |          Query:[ (\x.[(\l.\r.l+r) x] x) (3|_|5) @ ({_: {_: *}}, *) ]
  |            phi
  |            ---- gdgdd<42,10> --->
  |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
  |              h
  |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
  |            ---- dgdgdd<42,10> --->
  |            psi; psi; phi
  |            ---- gdgdd<42,10> --->
  |            Query:[ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]
  |              h
  |            [ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]:Answer
  |            ---- dgdgdd<42,10> --->
  |            psi; e; phi; phi
  |            ---- dd<0,gdgdd<42,10>> --->
  |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
  |              h; v
  |              0 {
  |                psi
  |                ---- dgdd<42,10> --->
  |                Query:[ (\x.(\l.[\r.l+r]) x x) (3|_|5) @ {_: *} ]
  |                  h
  |                [ (\x.(\l.[\r.l+r]) x x) (3|_|5) @ {_: *} ]:Answer
  |                ---- gdd<42,10> --->
  |                phi
  |              } 0
  |              u; h
  |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
  |            ---- dd<0,ggdd<42,10>> --->
  |            psi; psi; e'; phi
  |            ---- dggdd<42,10> --->
  |            Query:[ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]
  |              h
  |            [ (\x.(\l.\r.l+r) [x] x) (3|_|5) @ * ]:Answer
  |            ---- ggdd<42,10> --->
  |            psi; phi; phi
  |            ---- dggdd<42,10> --->
  |            Query:[ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]
  |              h
  |            [ (\x.[\l.\r.l+r] x x) (3|_|5) @ {_: {_: *}} ]:Answer
  |            ---- ggdd<42,10> --->
  |            psi
  |          [ (\x.[(\l.\r.l+r) x] x) (3|_|5) @ ({_: {_: *}}, *) ]:Answer
  |          ---- gdd<42,10> --->
  |          psi
  |        [ (\x.[(\l.\r.l+r) x x]) (3|_|5) @ (({_: {_: *}}, *), *) ]:Answer
  |        ---- dd<42,10> --->
  |        phi
  |      } 0
  |      u; h
  |    [ [\x.(\l.\r.l+r) x x] (3|_|5) @ {_: (({_: {_: *}}, *), *)} ]:Answer
  |    ---- dd<0,gdd<42,10>> --->
  |    psi; psi; e'; phi
  |    ---- dgdd<42,10> --->
  |    Query:[ (\x.(\l.\r.l+r) x x) [3|_|5] @ Just (Right (*)) ]
  |      ---- dgdd<42,10> --->
  |      Query:[ (\x.(\l.\r.l+r) x x) (3|_|[5]) @ * ]
  |        h
  |      [ (\x.(\l.\r.l+r) x x) (3|_|[5]) @ * ]:Answer
  |      ---- gdd<42,10> --->
  |    [ (\x.(\l.\r.l+r) x x) [3|_|5] @ Just (Right (*)) ]:Answer
  |    ---- gdd<42,10> --->
  |    psi; phi; phi
  |    ---- dgdd<42,10> --->
  |    Query:[ [\x.(\l.\r.l+r) x x] (3|_|5) @ {_: (({_: {_: *}}, *), *)} ]
  |      h
  |    [ [\x.(\l.\r.l+r) x x] (3|_|5) @ {_: (({_: {_: *}}, *), *)} ]:Answer
  |    ---- gdd<42,10> --->
  |    psi
  |  [ [(\x.(\l.\r.l+r) x x) (3|_|5)] @ ({_: (({_: {_: *}}, *), *)}, Just (Right (*))) ]:Answer
  |  ---- dd<42,10> --->
  Result: 10 / State: ({_: (({_: {_: *}}, *), *)}, Just (Right (*)))
####################################################################################################
parsed: Apply (Abst "f" (Apply (Apply (Abst "l" (Abst "r" (Sum "l" "r"))) (Apply (Variable "f") (ConstN 0))) (Apply (Variable "f") (ConstN 1)))) (Abst "x" (Oplus (ConstN 3) (ConstN 5)))
====================================================================================================
.      ---- dd<42,137> --->
|      Query:[ [(\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|5)] @ ({_: (({_: {_: *}}, (*, *)), (*, *))}, {_: Nothing}) ]
|        phi
|        ---- gdd<42,137> --->
|        Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
|          h
|        [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
|        ---- dgdd<42,137> --->
|        psi; psi; phi
|        ---- gdd<42,137> --->
|        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {_: Nothing} ]
|          h
|        [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {_: Nothing} ]:Answer
|        ---- dgdd<42,137> --->
|        psi; e; phi; phi
|        ---- dd<0,gdd<42,137>> --->
|        Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
|          h; v
|          0 {
|            psi
|            ---- dd<42,137> --->
|            Query:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
|              phi
|              ---- gdd<42,137> --->
|              Query:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
|                phi
|                ---- ggdd<42,137> --->
|                Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
|                  h
|                [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
|                ---- dggdd<42,137> --->
|                psi; psi; phi
|                ---- ggdd<42,137> --->
|                Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
|                  phi
|                  ---- gggdd<42,137> --->
|                  Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|                    h
|                  [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|                  ---- dgggdd<42,137> --->
|                  psi; psi; phi
|                  ---- gggdd<42,137> --->
|                  Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
|                    h
|                  [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
|                  ---- dgggdd<42,137> --->
|                  psi; e; phi; phi
|                  ---- dd<0,gggdd<42,137>> --->
|                  Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|                    h
|                  [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
|                  ---- <0,gggdd<42,137>> --->
|                  c
|                [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
|                ---- <g0,gggdd<42,137>> --->
|                c
|              [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
|              ---- <dg0,gggdd<42,137>> --->
|              c
|            [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
|            ---- <gdg0,gggdd<42,137>> --->
|            phi
|          } 0
|          u; h
|        [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
|        ---- dd<0,d<gdg0,gggdd<42,137>>> --->
|        psi; psi; e'; phi
|        ---- dd<gdg0,gggdd<42,137>> --->
|        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {_: Nothing} ]
|          h; v
|          gdg0 {
|            psi
|            ---- ggdd<42,137> --->
|            Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Nothing ]
|              *** algebraic operation *** : nondeterministic choice
+-.            ---- ggdd<42,137> --->
| |            Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]
| |              h
| |            [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]:Answer
| |            ---- dggdd<42,137> --->
| |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]:Answer
| |          ---- dggdd<42,137> --->
| |          phi
| |        } gdg0
| |        u; h
| |      [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), _: Nothing} ]:Answer
| |      ---- dd<gdg0,gdggdd<42,137>> --->
| |      psi; e; phi; phi
| |      ---- dd<0,d<gdg0,gdggdd<42,137>>> --->
| |      Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
| |        h; v
| |        0 {
| |          psi
| |          ---- <gdg0,gdggdd<42,137>> --->
| |          Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
| |            c'
| |            ---- <dg0,gdggdd<42,137>> --->
| |            Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
| |              c'
| |              ---- <g0,gdggdd<42,137>> --->
| |              Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
| |                c'
| |                ---- <0,gdggdd<42,137>> --->
| |                Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| |                  h
| |                [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| |                ---- dd<0,gdggdd<42,137>> --->
| |                psi; psi; e'; phi
| |                ---- dgdggdd<42,137> --->
| |                Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
| |                  h
| |                [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
| |                ---- gdggdd<42,137> --->
| |                psi; phi; phi
| |                ---- dgdggdd<42,137> --->
| |                Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| |                  h
| |                [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| |                ---- gdggdd<42,137> --->
| |                psi
| |              [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
| |              ---- dggdd<42,137> --->
| |              psi; e; phi; phi
| |              ---- dd<0,ggdd<42,137>> --->
| |              Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
| |                h; v
| |                0 {
| |                  psi
| |                  ---- gdd<42,137> --->
| |                  Query:[ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]
| |                    h
| |                  [ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]:Answer
| |                  ---- dgdd<42,137> --->
| |                  phi
| |                } 0
| |                u; h
| |              [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
| |              ---- dd<0,gdgdd<42,137>> --->
| |              psi; psi; e'; phi
| |              ---- dgdgdd<42,137> --->
| |              Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
| |                phi
| |                ---- gdgdgdd<42,137> --->
| |                Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| |                  h
| |                [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| |                ---- dgdgdgdd<42,137> --->
| |                psi; psi; phi
| |                ---- gdgdgdd<42,137> --->
| |                Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
| |                  h
| |                [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
| |                ---- dgdgdgdd<42,137> --->
| |                psi; e; phi; phi
| |                ---- dd<0,gdgdgdd<42,137>> --->
| |                Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| |                  h
| |                [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
| |                ---- <0,gdgdgdd<42,137>> --->
| |                c
| |              [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
| |              ---- <g0,gdgdgdd<42,137>> --->
| |              c
| |            [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
| |            ---- <dg0,gdgdgdd<42,137>> --->
| |            c
| |          [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
| |          ---- <gdg0,gdgdgdd<42,137>> --->
| |          phi
| |        } 0
| |        u; h
| |      [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
| |      ---- dd<0,d<gdg0,gdgdgdd<42,137>>> --->
| |      psi; psi; e'; phi
| |      ---- dd<gdg0,gdgdgdd<42,137>> --->
| |      Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), _: Nothing} ]
| |        h; v
| |        gdg0 {
| |          psi
| |          ---- dgdgdd<42,137> --->
| |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]
| |            ---- dgdgdd<42,137> --->
| |            Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]
| |              h
| |            [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]:Answer
| |            ---- gdgdd<42,137> --->
| |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]:Answer
| |          ---- gdgdd<42,137> --->
| |          phi
| |        } gdg0
| |        u; h
| |      [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), _: Nothing} ]:Answer
| |      ---- dd<gdg0,ggdgdd<42,137>> --->
| |      psi; e; phi; phi
| |      ---- dd<0,d<gdg0,ggdgdd<42,137>>> --->
| |      Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
| |        h; v
| |        0 {
| |          psi
| |          ---- <gdg0,ggdgdd<42,137>> --->
| |          Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
| |            c'
| |            ---- <dg0,ggdgdd<42,137>> --->
| |            Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
| |              c'
| |              ---- <g0,ggdgdd<42,137>> --->
| |              Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
| |                c'
| |                ---- <0,ggdgdd<42,137>> --->
| |                Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| |                  h
| |                [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| |                ---- dd<0,ggdgdd<42,137>> --->
| |                psi; psi; e'; phi
| |                ---- dggdgdd<42,137> --->
| |                Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
| |                  h
| |                [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
| |                ---- ggdgdd<42,137> --->
| |                psi; phi; phi
| |                ---- dggdgdd<42,137> --->
| |                Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| |                  h
| |                [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| |                ---- ggdgdd<42,137> --->
| |                psi
| |              [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
| |              ---- gdgdd<42,137> --->
| |              psi; phi; phi
| |              ---- dgdgdd<42,137> --->
| |              Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
| |                h
| |              [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
| |              ---- gdgdd<42,137> --->
| |              psi
| |            [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Answer
| |            ---- dgdd<42,137> --->
| |            psi; psi; phi
| |            ---- gdd<42,137> --->
| |            Query:[ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]
| |              phi
| |              ---- ggdd<42,137> --->
| |              Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
| |                h
| |              [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
| |              ---- dggdd<42,137> --->
| |              psi; psi; phi
| |              ---- ggdd<42,137> --->
| |              Query:[ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]
| |                h
| |              [ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]:Answer
| |              ---- dggdd<42,137> --->
| |              psi; e; phi; phi
| |              ---- dd<0,ggdd<42,137>> --->
| |              Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
| |                h
| |              [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Query f
| |              ---- <0,ggdd<42,137>> --->
| |              c
| |            [ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]:Query f
| |            ---- <g0,ggdd<42,137>> --->
| |            c
| |          [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
| |          ---- <dg0,ggdd<42,137>> --->
| |          phi
| |        } 0
| |        u; h
| |      [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
| |      ---- dd<0,d<dg0,ggdd<42,137>>> --->
| |      psi; psi; e'; phi
| |      ---- dd<dg0,ggdd<42,137>> --->
| |      Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), _: Nothing} ]
| |        h; v
| |        dg0 {
| |          psi
| |          ---- gdd<42,137> --->
| |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Nothing ]
| |            *** algebraic operation *** : nondeterministic choice
| +-.          ---- gdd<42,137> --->
| | |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]
| | |            h
| | |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]:Answer
| | |          ---- dgdd<42,137> --->
| | |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]:Answer
| | |        ---- dgdd<42,137> --->
| | |        phi
| | |      } dg0
| | |      u; h
| | |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing} ]:Answer
| | |    ---- dd<dg0,gdgdd<42,137>> --->
| | |    psi; e; phi; phi
| | |    ---- dd<0,d<dg0,gdgdd<42,137>>> --->
| | |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
| | |      h; v
| | |      0 {
| | |        psi
| | |        ---- <dg0,gdgdd<42,137>> --->
| | |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
| | |          c'
| | |          ---- <g0,gdgdd<42,137>> --->
| | |          Answer f:[ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]
| | |            c'
| | |            ---- <0,gdgdd<42,137>> --->
| | |            Answer f:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
| | |              h
| | |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
| | |            ---- dd<0,gdgdd<42,137>> --->
| | |            psi; psi; e'; phi
| | |            ---- dgdgdd<42,137> --->
| | |            Query:[ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]
| | |              h
| | |            [ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]:Answer
| | |            ---- gdgdd<42,137> --->
| | |            psi; phi; phi
| | |            ---- dgdgdd<42,137> --->
| | |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
| | |              h
| | |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
| | |            ---- gdgdd<42,137> --->
| | |            psi
| | |          [ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]:Answer
| | |          ---- dgdd<42,137> --->
| | |          psi; e; phi; phi
| | |          ---- dd<0,gdd<42,137>> --->
| | |          Query:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
| | |            phi
| | |            ---- gdd<0,gdd<42,137>> --->
| | |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
| | |              h
| | |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
| | |            ---- dgdd<0,gdd<42,137>> --->
| | |            psi; psi; phi
| | |            ---- gdd<0,gdd<42,137>> --->
| | |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
| | |              phi
| | |              ---- ggdd<0,gdd<42,137>> --->
| | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- dggdd<0,gdd<42,137>> --->
| | |              psi; psi; phi
| | |              ---- ggdd<0,gdd<42,137>> --->
| | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- dggdd<0,gdd<42,137>> --->
| | |              psi; e; phi; phi
| | |              ---- dd<0,ggdd<0,gdd<42,137>>> --->
| | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
| | |              ---- <0,ggdd<0,gdd<42,137>>> --->
| | |              c
| | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
| | |            ---- <g0,ggdd<0,gdd<42,137>>> --->
| | |            c
| | |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
| | |          ---- <dg0,ggdd<0,gdd<42,137>>> --->
| | |          c
| | |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
| | |        ---- <gdg0,ggdd<0,gdd<42,137>>> --->
| | |        phi
| | |      } 0
| | |      u; h
| | |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
| | |    ---- dd<0,d<gdg0,ggdd<0,gdd<42,137>>>> --->
| | |    psi; psi; e'; phi
| | |    ---- dd<gdg0,ggdd<0,gdd<42,137>>> --->
| | |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing} ]
| | |      h; v
| | |      gdg0 {
| | |        psi
| | |        ---- gdd<0,gdd<42,137>> --->
| | |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]
| | |          ---- gdd<0,gdd<42,137>> --->
| | |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]
| | |            h
| | |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]:Answer
| | |          ---- dgdd<0,gdd<42,137>> --->
| | |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]:Answer
| | |        ---- dgdd<0,gdd<42,137>> --->
| | |        phi
| | |      } gdg0
| | |      u; h
| | |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing} ]:Answer
| | |    ---- dd<gdg0,gdgdd<0,gdd<42,137>>> --->
| | |    psi; e; phi; phi
| | |    ---- dd<0,d<gdg0,gdgdd<0,gdd<42,137>>>> --->
| | |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
| | |      h; v
| | |      0 {
| | |        psi
| | |        ---- <gdg0,gdgdd<0,gdd<42,137>>> --->
| | |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
| | |          c'
| | |          ---- <dg0,gdgdd<0,gdd<42,137>>> --->
| | |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
| | |            c'
| | |            ---- <g0,gdgdd<0,gdd<42,137>>> --->
| | |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
| | |              c'
| | |              ---- <0,gdgdd<0,gdd<42,137>>> --->
| | |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- dd<0,gdgdd<0,gdd<42,137>>> --->
| | |              psi; psi; e'; phi
| | |              ---- dgdgdd<0,gdd<42,137>> --->
| | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- gdgdd<0,gdd<42,137>> --->
| | |              psi; phi; phi
| | |              ---- dgdgdd<0,gdd<42,137>> --->
| | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- gdgdd<0,gdd<42,137>> --->
| | |              psi
| | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
| | |            ---- dgdd<0,gdd<42,137>> --->
| | |            psi; e; phi; phi
| | |            ---- dd<0,gdd<0,gdd<42,137>>> --->
| | |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
| | |              h; v
| | |              0 {
| | |                psi
| | |                ---- dd<0,gdd<42,137>> --->
| | |                Query:[ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]
| | |                  h; v
| | |                  0 {
| | |                    psi
| | |                    ---- dd<42,137> --->
| | |                    Query:[ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]
| | |                      h; sum
| | |                    [ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]:Query l
| | |                    ---- <42,137> --->
| | |                  } 0
| | |                  u; d
| | |                [ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]:Query l
| | |                ---- <<0,42>,137> --->
| | |                phi
| | |              } 0
| | |              u; h
| | |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
| | |            ---- dd<0,d<<0,42>,137>> --->
| | |            psi; psi; e'; phi
| | |            ---- dd<<0,42>,137> --->
| | |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
| | |              phi
| | |              ---- gdd<<0,42>,137> --->
| | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- dgdd<<0,42>,137> --->
| | |              psi; psi; phi
| | |              ---- gdd<<0,42>,137> --->
| | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- dgdd<<0,42>,137> --->
| | |              psi; e; phi; phi
| | |              ---- dd<0,gdd<<0,42>,137>> --->
| | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
| | |              ---- <0,gdd<<0,42>,137>> --->
| | |              c
| | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
| | |            ---- <g0,gdd<<0,42>,137>> --->
| | |            c
| | |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
| | |          ---- <dg0,gdd<<0,42>,137>> --->
| | |          c
| | |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
| | |        ---- <gdg0,gdd<<0,42>,137>> --->
| | |        phi
| | |      } 0
| | |      u; h
| | |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
| | |    ---- dd<0,d<gdg0,gdd<<0,42>,137>>> --->
| | |    psi; psi; e'; phi
| | |    ---- dd<gdg0,gdd<<0,42>,137>> --->
| | |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing} ]
| | |      h; v
| | |      gdg0 {
| | |        psi
| | |        ---- dd<<0,42>,137> --->
| | |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]
| | |          ---- dd<<0,42>,137> --->
| | |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]
| | |            h; k_3; h
| | |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]:Answer
| | |          ---- dd<<0,42>,3> --->
| | |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]:Answer
| | |        ---- dd<<0,42>,3> --->
| | |        phi
| | |      } gdg0
| | |      u; h
| | |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing} ]:Answer
| | |    ---- dd<gdg0,gdd<<0,42>,3>> --->
| | |    psi; e; phi; phi
| | |    ---- dd<0,d<gdg0,gdd<<0,42>,3>>> --->
| | |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
| | |      h; v
| | |      0 {
| | |        psi
| | |        ---- <gdg0,gdd<<0,42>,3>> --->
| | |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
| | |          c'
| | |          ---- <dg0,gdd<<0,42>,3>> --->
| | |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
| | |            c'
| | |            ---- <g0,gdd<<0,42>,3>> --->
| | |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
| | |              c'
| | |              ---- <0,gdd<<0,42>,3>> --->
| | |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- dd<0,gdd<<0,42>,3>> --->
| | |              psi; psi; e'; phi
| | |              ---- dgdd<<0,42>,3> --->
| | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- gdd<<0,42>,3> --->
| | |              psi; phi; phi
| | |              ---- dgdd<<0,42>,3> --->
| | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- gdd<<0,42>,3> --->
| | |              psi
| | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
| | |            ---- dd<<0,42>,3> --->
| | |            psi; e; phi; phi
| | |            ---- dd<0,d<<0,42>,3>> --->
| | |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
| | |              h; v
| | |              0 {
| | |                psi
| | |                ---- <<0,42>,3> --->
| | |                Answer l:[ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]
| | |                  d'; v
| | |                  0 {
| | |                    ---- <42,3> --->
| | |                    Answer l:[ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]
| | |                      sum
| | |                    [ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]:Query r
| | |                    ---- <<42,3>,0> --->
| | |                    phi
| | |                  } 0
| | |                  u; h
| | |                [ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]:Answer
| | |                ---- dd<0,d<<42,3>,0>> --->
| | |                phi
| | |              } 0
| | |              u; h
| | |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
| | |            ---- dd<0,gdd<0,d<<42,3>,0>>> --->
| | |            psi; psi; e'; phi
| | |            ---- dgdd<0,d<<42,3>,0>> --->
| | |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
| | |              phi
| | |              ---- gdgdd<0,d<<42,3>,0>> --->
| | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- dgdgdd<0,d<<42,3>,0>> --->
| | |              psi; psi; phi
| | |              ---- gdgdd<0,d<<42,3>,0>> --->
| | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- dgdgdd<0,d<<42,3>,0>> --->
| | |              psi; e; phi; phi
| | |              ---- dd<0,gdgdd<0,d<<42,3>,0>>> --->
| | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
| | |              ---- <0,gdgdd<0,d<<42,3>,0>>> --->
| | |              c
| | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
| | |            ---- <g0,gdgdd<0,d<<42,3>,0>>> --->
| | |            c
| | |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
| | |          ---- <dg0,gdgdd<0,d<<42,3>,0>>> --->
| | |          c
| | |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
| | |        ---- <gdg0,gdgdd<0,d<<42,3>,0>>> --->
| | |        phi
| | |      } 0
| | |      u; h
| | |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
| | |    ---- dd<0,d<gdg0,gdgdd<0,d<<42,3>,0>>>> --->
| | |    psi; psi; e'; phi
| | |    ---- dd<gdg0,gdgdd<0,d<<42,3>,0>>> --->
| | |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing} ]
| | |      h; v
| | |      gdg0 {
| | |        psi
| | |        ---- dgdd<0,d<<42,3>,0>> --->
| | |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]
| | |          ---- dgdd<0,d<<42,3>,0>> --->
| | |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]
| | |            h
| | |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]:Answer
| | |          ---- gdd<0,d<<42,3>,0>> --->
| | |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]:Answer
| | |        ---- gdd<0,d<<42,3>,0>> --->
| | |        phi
| | |      } gdg0
| | |      u; h
| | |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing} ]:Answer
| | |    ---- dd<gdg0,ggdd<0,d<<42,3>,0>>> --->
| | |    psi; e; phi; phi
| | |    ---- dd<0,d<gdg0,ggdd<0,d<<42,3>,0>>>> --->
| | |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
| | |      h; v
| | |      0 {
| | |        psi
| | |        ---- <gdg0,ggdd<0,d<<42,3>,0>>> --->
| | |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
| | |          c'
| | |          ---- <dg0,ggdd<0,d<<42,3>,0>>> --->
| | |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
| | |            c'
| | |            ---- <g0,ggdd<0,d<<42,3>,0>>> --->
| | |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
| | |              c'
| | |              ---- <0,ggdd<0,d<<42,3>,0>>> --->
| | |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- dd<0,ggdd<0,d<<42,3>,0>>> --->
| | |              psi; psi; e'; phi
| | |              ---- dggdd<0,d<<42,3>,0>> --->
| | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- ggdd<0,d<<42,3>,0>> --->
| | |              psi; phi; phi
| | |              ---- dggdd<0,d<<42,3>,0>> --->
| | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- ggdd<0,d<<42,3>,0>> --->
| | |              psi
| | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
| | |            ---- gdd<0,d<<42,3>,0>> --->
| | |            psi; phi; phi
| | |            ---- dgdd<0,d<<42,3>,0>> --->
| | |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
| | |              h
| | |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
| | |            ---- gdd<0,d<<42,3>,0>> --->
| | |            psi
| | |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Answer
| | |          ---- dd<0,d<<42,3>,0>> --->
| | |          psi; psi; e'; phi
| | |          ---- dd<<42,3>,0> --->
| | |          Query:[ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]
| | |            phi
| | |            ---- gdd<<42,3>,0> --->
| | |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
| | |              h
| | |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
| | |            ---- dgdd<<42,3>,0> --->
| | |            psi; psi; phi
| | |            ---- gdd<<42,3>,0> --->
| | |            Query:[ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]
| | |              h
| | |            [ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]:Answer
| | |            ---- dgdd<<42,3>,0> --->
| | |            psi; e; phi; phi
| | |            ---- dd<0,gdd<<42,3>,0>> --->
| | |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
| | |              h
| | |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Query f
| | |            ---- <0,gdd<<42,3>,0>> --->
| | |            c
| | |          [ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]:Query f
| | |          ---- <g0,gdd<<42,3>,0>> --->
| | |          c
| | |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
| | |        ---- <dg0,gdd<<42,3>,0>> --->
| | |        phi
| | |      } 0
| | |      u; h
| | |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
| | |    ---- dd<0,d<dg0,gdd<<42,3>,0>>> --->
| | |    psi; psi; e'; phi
| | |    ---- dd<dg0,gdd<<42,3>,0>> --->
| | |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing} ]
| | |      h; v
| | |      dg0 {
| | |        psi
| | |        ---- dd<<42,3>,0> --->
| | |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]
| | |          ---- dd<<42,3>,0> --->
| | |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]
| | |            h; k_3; h
| | |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]:Answer
| | |          ---- dd<<42,3>,3> --->
| | |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]:Answer
| | |        ---- dd<<42,3>,3> --->
| | |        phi
| | |      } dg0
| | |      u; h
| | |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing} ]:Answer
| | |    ---- dd<dg0,gdd<<42,3>,3>> --->
| | |    psi; e; phi; phi
| | |    ---- dd<0,d<dg0,gdd<<42,3>,3>>> --->
| | |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
| | |      h; v
| | |      0 {
| | |        psi
| | |        ---- <dg0,gdd<<42,3>,3>> --->
| | |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
| | |          c'
| | |          ---- <g0,gdd<<42,3>,3>> --->
| | |          Answer f:[ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]
| | |            c'
| | |            ---- <0,gdd<<42,3>,3>> --->
| | |            Answer f:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
| | |              h
| | |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
| | |            ---- dd<0,gdd<<42,3>,3>> --->
| | |            psi; psi; e'; phi
| | |            ---- dgdd<<42,3>,3> --->
| | |            Query:[ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]
| | |              h
| | |            [ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]:Answer
| | |            ---- gdd<<42,3>,3> --->
| | |            psi; phi; phi
| | |            ---- dgdd<<42,3>,3> --->
| | |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
| | |              h
| | |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
| | |            ---- gdd<<42,3>,3> --->
| | |            psi
| | |          [ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]:Answer
| | |          ---- dd<<42,3>,3> --->
| | |          psi; e; phi; phi
| | |          ---- dd<0,d<<42,3>,3>> --->
| | |          Query:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
| | |            phi
| | |            ---- gdd<0,d<<42,3>,3>> --->
| | |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
| | |              h
| | |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
| | |            ---- dgdd<0,d<<42,3>,3>> --->
| | |            psi; psi; phi
| | |            ---- gdd<0,d<<42,3>,3>> --->
| | |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
| | |              phi
| | |              ---- ggdd<0,d<<42,3>,3>> --->
| | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- dggdd<0,d<<42,3>,3>> --->
| | |              psi; psi; phi
| | |              ---- ggdd<0,d<<42,3>,3>> --->
| | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- dggdd<0,d<<42,3>,3>> --->
| | |              psi; e; phi; phi
| | |              ---- dd<0,ggdd<0,d<<42,3>,3>>> --->
| | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
| | |              ---- <0,ggdd<0,d<<42,3>,3>>> --->
| | |              c
| | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
| | |            ---- <g0,ggdd<0,d<<42,3>,3>>> --->
| | |            c
| | |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
| | |          ---- <dg0,ggdd<0,d<<42,3>,3>>> --->
| | |          c
| | |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
| | |        ---- <gdg0,ggdd<0,d<<42,3>,3>>> --->
| | |        phi
| | |      } 0
| | |      u; h
| | |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
| | |    ---- dd<0,d<gdg0,ggdd<0,d<<42,3>,3>>>> --->
| | |    psi; psi; e'; phi
| | |    ---- dd<gdg0,ggdd<0,d<<42,3>,3>>> --->
| | |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing} ]
| | |      h; v
| | |      gdg0 {
| | |        psi
| | |        ---- gdd<0,d<<42,3>,3>> --->
| | |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]
| | |          ---- gdd<0,d<<42,3>,3>> --->
| | |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]
| | |            h
| | |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]:Answer
| | |          ---- dgdd<0,d<<42,3>,3>> --->
| | |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]:Answer
| | |        ---- dgdd<0,d<<42,3>,3>> --->
| | |        phi
| | |      } gdg0
| | |      u; h
| | |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing} ]:Answer
| | |    ---- dd<gdg0,gdgdd<0,d<<42,3>,3>>> --->
| | |    psi; e; phi; phi
| | |    ---- dd<0,d<gdg0,gdgdd<0,d<<42,3>,3>>>> --->
| | |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
| | |      h; v
| | |      0 {
| | |        psi
| | |        ---- <gdg0,gdgdd<0,d<<42,3>,3>>> --->
| | |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
| | |          c'
| | |          ---- <dg0,gdgdd<0,d<<42,3>,3>>> --->
| | |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
| | |            c'
| | |            ---- <g0,gdgdd<0,d<<42,3>,3>>> --->
| | |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
| | |              c'
| | |              ---- <0,gdgdd<0,d<<42,3>,3>>> --->
| | |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- dd<0,gdgdd<0,d<<42,3>,3>>> --->
| | |              psi; psi; e'; phi
| | |              ---- dgdgdd<0,d<<42,3>,3>> --->
| | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- gdgdd<0,d<<42,3>,3>> --->
| | |              psi; phi; phi
| | |              ---- dgdgdd<0,d<<42,3>,3>> --->
| | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- gdgdd<0,d<<42,3>,3>> --->
| | |              psi
| | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
| | |            ---- dgdd<0,d<<42,3>,3>> --->
| | |            psi; e; phi; phi
| | |            ---- dd<0,gdd<0,d<<42,3>,3>>> --->
| | |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
| | |              h; v
| | |              0 {
| | |                psi
| | |                ---- dd<0,d<<42,3>,3>> --->
| | |                Query:[ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]
| | |                  h; v
| | |                  0 {
| | |                    psi
| | |                    ---- <<42,3>,3> --->
| | |                    Answer r:[ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]
| | |                      sum; h
| | |                    [ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |                    ---- dd<42,6> --->
| | |                    phi
| | |                  } 0
| | |                  u; h
| | |                [ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]:Answer
| | |                ---- dd<0,gdd<42,6>> --->
| | |                phi
| | |              } 0
| | |              u; h
| | |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
| | |            ---- dd<0,gdd<0,gdd<42,6>>> --->
| | |            psi; psi; e'; phi
| | |            ---- dgdd<0,gdd<42,6>> --->
| | |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
| | |              phi
| | |              ---- gdgdd<0,gdd<42,6>> --->
| | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- dgdgdd<0,gdd<42,6>> --->
| | |              psi; psi; phi
| | |              ---- gdgdd<0,gdd<42,6>> --->
| | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- dgdgdd<0,gdd<42,6>> --->
| | |              psi; e; phi; phi
| | |              ---- dd<0,gdgdd<0,gdd<42,6>>> --->
| | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
| | |              ---- <0,gdgdd<0,gdd<42,6>>> --->
| | |              c
| | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
| | |            ---- <g0,gdgdd<0,gdd<42,6>>> --->
| | |            c
| | |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
| | |          ---- <dg0,gdgdd<0,gdd<42,6>>> --->
| | |          c
| | |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
| | |        ---- <gdg0,gdgdd<0,gdd<42,6>>> --->
| | |        phi
| | |      } 0
| | |      u; h
| | |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
| | |    ---- dd<0,d<gdg0,gdgdd<0,gdd<42,6>>>> --->
| | |    psi; psi; e'; phi
| | |    ---- dd<gdg0,gdgdd<0,gdd<42,6>>> --->
| | |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing} ]
| | |      h; v
| | |      gdg0 {
| | |        psi
| | |        ---- dgdd<0,gdd<42,6>> --->
| | |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]
| | |          ---- dgdd<0,gdd<42,6>> --->
| | |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]
| | |            h
| | |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]:Answer
| | |          ---- gdd<0,gdd<42,6>> --->
| | |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]:Answer
| | |        ---- gdd<0,gdd<42,6>> --->
| | |        phi
| | |      } gdg0
| | |      u; h
| | |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing} ]:Answer
| | |    ---- dd<gdg0,ggdd<0,gdd<42,6>>> --->
| | |    psi; e; phi; phi
| | |    ---- dd<0,d<gdg0,ggdd<0,gdd<42,6>>>> --->
| | |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
| | |      h; v
| | |      0 {
| | |        psi
| | |        ---- <gdg0,ggdd<0,gdd<42,6>>> --->
| | |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
| | |          c'
| | |          ---- <dg0,ggdd<0,gdd<42,6>>> --->
| | |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
| | |            c'
| | |            ---- <g0,ggdd<0,gdd<42,6>>> --->
| | |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
| | |              c'
| | |              ---- <0,ggdd<0,gdd<42,6>>> --->
| | |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- dd<0,ggdd<0,gdd<42,6>>> --->
| | |              psi; psi; e'; phi
| | |              ---- dggdd<0,gdd<42,6>> --->
| | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- ggdd<0,gdd<42,6>> --->
| | |              psi; phi; phi
| | |              ---- dggdd<0,gdd<42,6>> --->
| | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- ggdd<0,gdd<42,6>> --->
| | |              psi
| | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
| | |            ---- gdd<0,gdd<42,6>> --->
| | |            psi; phi; phi
| | |            ---- dgdd<0,gdd<42,6>> --->
| | |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
| | |              h
| | |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
| | |            ---- gdd<0,gdd<42,6>> --->
| | |            psi
| | |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Answer
| | |          ---- dd<0,gdd<42,6>> --->
| | |          psi; psi; e'; phi
| | |          ---- dgdd<42,6> --->
| | |          Query:[ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]
| | |            phi
| | |            ---- gdgdd<42,6> --->
| | |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
| | |              h
| | |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
| | |            ---- dgdgdd<42,6> --->
| | |            psi; psi; phi
| | |            ---- gdgdd<42,6> --->
| | |            Query:[ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]
| | |              h
| | |            [ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]:Answer
| | |            ---- dgdgdd<42,6> --->
| | |            psi; e; phi; phi
| | |            ---- dd<0,gdgdd<42,6>> --->
| | |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
| | |              h
| | |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Query f
| | |            ---- <0,gdgdd<42,6>> --->
| | |            c
| | |          [ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]:Query f
| | |          ---- <g0,gdgdd<42,6>> --->
| | |          c
| | |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
| | |        ---- <dg0,gdgdd<42,6>> --->
| | |        phi
| | |      } 0
| | |      u; h
| | |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
| | |    ---- dd<0,d<dg0,gdgdd<42,6>>> --->
| | |    psi; psi; e'; phi
| | |    ---- dd<dg0,gdgdd<42,6>> --->
| | |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing} ]
| | |      h; v
| | |      dg0 {
| | |        psi
| | |        ---- dgdd<42,6> --->
| | |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]
| | |          ---- dgdd<42,6> --->
| | |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]
| | |            h
| | |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]:Answer
| | |          ---- gdd<42,6> --->
| | |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]:Answer
| | |        ---- gdd<42,6> --->
| | |        phi
| | |      } dg0
| | |      u; h
| | |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing} ]:Answer
| | |    ---- dd<dg0,ggdd<42,6>> --->
| | |    psi; e; phi; phi
| | |    ---- dd<0,d<dg0,ggdd<42,6>>> --->
| | |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
| | |      h; v
| | |      0 {
| | |        psi
| | |        ---- <dg0,ggdd<42,6>> --->
| | |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
| | |          c'
| | |          ---- <g0,ggdd<42,6>> --->
| | |          Answer f:[ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]
| | |            c'
| | |            ---- <0,ggdd<42,6>> --->
| | |            Answer f:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
| | |              h
| | |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
| | |            ---- dd<0,ggdd<42,6>> --->
| | |            psi; psi; e'; phi
| | |            ---- dggdd<42,6> --->
| | |            Query:[ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]
| | |              h
| | |            [ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]:Answer
| | |            ---- ggdd<42,6> --->
| | |            psi; phi; phi
| | |            ---- dggdd<42,6> --->
| | |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
| | |              h
| | |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
| | |            ---- ggdd<42,6> --->
| | |            psi
| | |          [ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]:Answer
| | |          ---- gdd<42,6> --->
| | |          psi; phi; phi
| | |          ---- dgdd<42,6> --->
| | |          Query:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
| | |            phi
| | |            ---- gdgdd<42,6> --->
| | |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
| | |              h
| | |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
| | |            ---- dgdgdd<42,6> --->
| | |            psi; psi; phi
| | |            ---- gdgdd<42,6> --->
| | |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
| | |              phi
| | |              ---- ggdgdd<42,6> --->
| | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- dggdgdd<42,6> --->
| | |              psi; psi; phi
| | |              ---- ggdgdd<42,6> --->
| | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- dggdgdd<42,6> --->
| | |              psi; e; phi; phi
| | |              ---- dd<0,ggdgdd<42,6>> --->
| | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
| | |              ---- <0,ggdgdd<42,6>> --->
| | |              c
| | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
| | |            ---- <g0,ggdgdd<42,6>> --->
| | |            c
| | |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
| | |          ---- <dg0,ggdgdd<42,6>> --->
| | |          c
| | |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
| | |        ---- <gdg0,ggdgdd<42,6>> --->
| | |        phi
| | |      } 0
| | |      u; h
| | |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
| | |    ---- dd<0,d<gdg0,ggdgdd<42,6>>> --->
| | |    psi; psi; e'; phi
| | |    ---- dd<gdg0,ggdgdd<42,6>> --->
| | |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing} ]
| | |      h; v
| | |      gdg0 {
| | |        psi
| | |        ---- gdgdd<42,6> --->
| | |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]
| | |          ---- gdgdd<42,6> --->
| | |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]
| | |            h
| | |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]:Answer
| | |          ---- dgdgdd<42,6> --->
| | |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]:Answer
| | |        ---- dgdgdd<42,6> --->
| | |        phi
| | |      } gdg0
| | |      u; h
| | |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing} ]:Answer
| | |    ---- dd<gdg0,gdgdgdd<42,6>> --->
| | |    psi; e; phi; phi
| | |    ---- dd<0,d<gdg0,gdgdgdd<42,6>>> --->
| | |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
| | |      h; v
| | |      0 {
| | |        psi
| | |        ---- <gdg0,gdgdgdd<42,6>> --->
| | |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
| | |          c'
| | |          ---- <dg0,gdgdgdd<42,6>> --->
| | |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
| | |            c'
| | |            ---- <g0,gdgdgdd<42,6>> --->
| | |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
| | |              c'
| | |              ---- <0,gdgdgdd<42,6>> --->
| | |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- dd<0,gdgdgdd<42,6>> --->
| | |              psi; psi; e'; phi
| | |              ---- dgdgdgdd<42,6> --->
| | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- gdgdgdd<42,6> --->
| | |              psi; phi; phi
| | |              ---- dgdgdgdd<42,6> --->
| | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- gdgdgdd<42,6> --->
| | |              psi
| | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
| | |            ---- dgdgdd<42,6> --->
| | |            psi; e; phi; phi
| | |            ---- dd<0,gdgdd<42,6>> --->
| | |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
| | |              h; v
| | |              0 {
| | |                psi
| | |                ---- dgdd<42,6> --->
| | |                Query:[ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]
| | |                  h
| | |                [ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]:Answer
| | |                ---- gdd<42,6> --->
| | |                phi
| | |              } 0
| | |              u; h
| | |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
| | |            ---- dd<0,ggdd<42,6>> --->
| | |            psi; psi; e'; phi
| | |            ---- dggdd<42,6> --->
| | |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
| | |              phi
| | |              ---- gdggdd<42,6> --->
| | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- dgdggdd<42,6> --->
| | |              psi; psi; phi
| | |              ---- gdggdd<42,6> --->
| | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- dgdggdd<42,6> --->
| | |              psi; e; phi; phi
| | |              ---- dd<0,gdggdd<42,6>> --->
| | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
| | |              ---- <0,gdggdd<42,6>> --->
| | |              c
| | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
| | |            ---- <g0,gdggdd<42,6>> --->
| | |            c
| | |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
| | |          ---- <dg0,gdggdd<42,6>> --->
| | |          c
| | |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
| | |        ---- <gdg0,gdggdd<42,6>> --->
| | |        phi
| | |      } 0
| | |      u; h
| | |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
| | |    ---- dd<0,d<gdg0,gdggdd<42,6>>> --->
| | |    psi; psi; e'; phi
| | |    ---- dd<gdg0,gdggdd<42,6>> --->
| | |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing} ]
| | |      h; v
| | |      gdg0 {
| | |        psi
| | |        ---- dggdd<42,6> --->
| | |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]
| | |          ---- dggdd<42,6> --->
| | |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]
| | |            h
| | |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]:Answer
| | |          ---- ggdd<42,6> --->
| | |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]:Answer
| | |        ---- ggdd<42,6> --->
| | |        phi
| | |      } gdg0
| | |      u; h
| | |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing} ]:Answer
| | |    ---- dd<gdg0,gggdd<42,6>> --->
| | |    psi; e; phi; phi
| | |    ---- dd<0,d<gdg0,gggdd<42,6>>> --->
| | |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
| | |      h; v
| | |      0 {
| | |        psi
| | |        ---- <gdg0,gggdd<42,6>> --->
| | |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
| | |          c'
| | |          ---- <dg0,gggdd<42,6>> --->
| | |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
| | |            c'
| | |            ---- <g0,gggdd<42,6>> --->
| | |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
| | |              c'
| | |              ---- <0,gggdd<42,6>> --->
| | |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- dd<0,gggdd<42,6>> --->
| | |              psi; psi; e'; phi
| | |              ---- dgggdd<42,6> --->
| | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- gggdd<42,6> --->
| | |              psi; phi; phi
| | |              ---- dgggdd<42,6> --->
| | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
| | |                h
| | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
| | |              ---- gggdd<42,6> --->
| | |              psi
| | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
| | |            ---- ggdd<42,6> --->
| | |            psi; phi; phi
| | |            ---- dggdd<42,6> --->
| | |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
| | |              h
| | |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
| | |            ---- ggdd<42,6> --->
| | |            psi
| | |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Answer
| | |          ---- gdd<42,6> --->
| | |          psi
| | |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Answer
| | |        ---- dd<42,6> --->
| | |        phi
| | |      } 0
| | |      u; h
| | |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
| | |    ---- dd<0,gdd<42,6>> --->
| | |    psi; psi; e'; phi
| | |    ---- dgdd<42,6> --->
| | |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing} ]
| | |      h
| | |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing} ]:Answer
| | |    ---- gdd<42,6> --->
| | |    psi; phi; phi
| | |    ---- dgdd<42,6> --->
| | |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
| | |      h
| | |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
| | |    ---- gdd<42,6> --->
| | |    psi
| | |  [ [(\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|5)] @ ({_: (({_: {_: *}}, (*, *)), (*, *))}, {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing}) ]:Answer
| | |  ---- dd<42,6> --->
| | Result: 6 / State: ({_: (({_: {_: *}}, (*, *)), (*, *))}, {gdg0: Just (Left (*)), dg0: Just (Left (*)), _: Nothing})
| `-.          ---- gdd<42,137> --->
|   |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]
|   |            h
|   |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]:Answer
|   |          ---- dgdd<42,137> --->
|   |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]:Answer
|   |        ---- dgdd<42,137> --->
|   |        phi
|   |      } dg0
|   |      u; h
|   |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing} ]:Answer
|   |    ---- dd<dg0,gdgdd<42,137>> --->
|   |    psi; e; phi; phi
|   |    ---- dd<0,d<dg0,gdgdd<42,137>>> --->
|   |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
|   |      h; v
|   |      0 {
|   |        psi
|   |        ---- <dg0,gdgdd<42,137>> --->
|   |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
|   |          c'
|   |          ---- <g0,gdgdd<42,137>> --->
|   |          Answer f:[ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]
|   |            c'
|   |            ---- <0,gdgdd<42,137>> --->
|   |            Answer f:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
|   |              h
|   |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
|   |            ---- dd<0,gdgdd<42,137>> --->
|   |            psi; psi; e'; phi
|   |            ---- dgdgdd<42,137> --->
|   |            Query:[ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]
|   |              h
|   |            [ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]:Answer
|   |            ---- gdgdd<42,137> --->
|   |            psi; phi; phi
|   |            ---- dgdgdd<42,137> --->
|   |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
|   |              h
|   |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
|   |            ---- gdgdd<42,137> --->
|   |            psi
|   |          [ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]:Answer
|   |          ---- dgdd<42,137> --->
|   |          psi; e; phi; phi
|   |          ---- dd<0,gdd<42,137>> --->
|   |          Query:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
|   |            phi
|   |            ---- gdd<0,gdd<42,137>> --->
|   |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
|   |              h
|   |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
|   |            ---- dgdd<0,gdd<42,137>> --->
|   |            psi; psi; phi
|   |            ---- gdd<0,gdd<42,137>> --->
|   |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
|   |              phi
|   |              ---- ggdd<0,gdd<42,137>> --->
|   |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- dggdd<0,gdd<42,137>> --->
|   |              psi; psi; phi
|   |              ---- ggdd<0,gdd<42,137>> --->
|   |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- dggdd<0,gdd<42,137>> --->
|   |              psi; e; phi; phi
|   |              ---- dd<0,ggdd<0,gdd<42,137>>> --->
|   |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
|   |              ---- <0,ggdd<0,gdd<42,137>>> --->
|   |              c
|   |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
|   |            ---- <g0,ggdd<0,gdd<42,137>>> --->
|   |            c
|   |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
|   |          ---- <dg0,ggdd<0,gdd<42,137>>> --->
|   |          c
|   |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
|   |        ---- <gdg0,ggdd<0,gdd<42,137>>> --->
|   |        phi
|   |      } 0
|   |      u; h
|   |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
|   |    ---- dd<0,d<gdg0,ggdd<0,gdd<42,137>>>> --->
|   |    psi; psi; e'; phi
|   |    ---- dd<gdg0,ggdd<0,gdd<42,137>>> --->
|   |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing} ]
|   |      h; v
|   |      gdg0 {
|   |        psi
|   |        ---- gdd<0,gdd<42,137>> --->
|   |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]
|   |          ---- gdd<0,gdd<42,137>> --->
|   |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]
|   |            h
|   |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]:Answer
|   |          ---- dgdd<0,gdd<42,137>> --->
|   |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]:Answer
|   |        ---- dgdd<0,gdd<42,137>> --->
|   |        phi
|   |      } gdg0
|   |      u; h
|   |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing} ]:Answer
|   |    ---- dd<gdg0,gdgdd<0,gdd<42,137>>> --->
|   |    psi; e; phi; phi
|   |    ---- dd<0,d<gdg0,gdgdd<0,gdd<42,137>>>> --->
|   |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
|   |      h; v
|   |      0 {
|   |        psi
|   |        ---- <gdg0,gdgdd<0,gdd<42,137>>> --->
|   |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
|   |          c'
|   |          ---- <dg0,gdgdd<0,gdd<42,137>>> --->
|   |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
|   |            c'
|   |            ---- <g0,gdgdd<0,gdd<42,137>>> --->
|   |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
|   |              c'
|   |              ---- <0,gdgdd<0,gdd<42,137>>> --->
|   |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- dd<0,gdgdd<0,gdd<42,137>>> --->
|   |              psi; psi; e'; phi
|   |              ---- dgdgdd<0,gdd<42,137>> --->
|   |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- gdgdd<0,gdd<42,137>> --->
|   |              psi; phi; phi
|   |              ---- dgdgdd<0,gdd<42,137>> --->
|   |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- gdgdd<0,gdd<42,137>> --->
|   |              psi
|   |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
|   |            ---- dgdd<0,gdd<42,137>> --->
|   |            psi; e; phi; phi
|   |            ---- dd<0,gdd<0,gdd<42,137>>> --->
|   |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
|   |              h; v
|   |              0 {
|   |                psi
|   |                ---- dd<0,gdd<42,137>> --->
|   |                Query:[ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]
|   |                  h; v
|   |                  0 {
|   |                    psi
|   |                    ---- dd<42,137> --->
|   |                    Query:[ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]
|   |                      h; sum
|   |                    [ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]:Query l
|   |                    ---- <42,137> --->
|   |                  } 0
|   |                  u; d
|   |                [ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]:Query l
|   |                ---- <<0,42>,137> --->
|   |                phi
|   |              } 0
|   |              u; h
|   |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
|   |            ---- dd<0,d<<0,42>,137>> --->
|   |            psi; psi; e'; phi
|   |            ---- dd<<0,42>,137> --->
|   |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
|   |              phi
|   |              ---- gdd<<0,42>,137> --->
|   |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- dgdd<<0,42>,137> --->
|   |              psi; psi; phi
|   |              ---- gdd<<0,42>,137> --->
|   |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- dgdd<<0,42>,137> --->
|   |              psi; e; phi; phi
|   |              ---- dd<0,gdd<<0,42>,137>> --->
|   |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
|   |              ---- <0,gdd<<0,42>,137>> --->
|   |              c
|   |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
|   |            ---- <g0,gdd<<0,42>,137>> --->
|   |            c
|   |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
|   |          ---- <dg0,gdd<<0,42>,137>> --->
|   |          c
|   |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
|   |        ---- <gdg0,gdd<<0,42>,137>> --->
|   |        phi
|   |      } 0
|   |      u; h
|   |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
|   |    ---- dd<0,d<gdg0,gdd<<0,42>,137>>> --->
|   |    psi; psi; e'; phi
|   |    ---- dd<gdg0,gdd<<0,42>,137>> --->
|   |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing} ]
|   |      h; v
|   |      gdg0 {
|   |        psi
|   |        ---- dd<<0,42>,137> --->
|   |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]
|   |          ---- dd<<0,42>,137> --->
|   |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]
|   |            h; k_3; h
|   |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]:Answer
|   |          ---- dd<<0,42>,3> --->
|   |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]:Answer
|   |        ---- dd<<0,42>,3> --->
|   |        phi
|   |      } gdg0
|   |      u; h
|   |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing} ]:Answer
|   |    ---- dd<gdg0,gdd<<0,42>,3>> --->
|   |    psi; e; phi; phi
|   |    ---- dd<0,d<gdg0,gdd<<0,42>,3>>> --->
|   |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
|   |      h; v
|   |      0 {
|   |        psi
|   |        ---- <gdg0,gdd<<0,42>,3>> --->
|   |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
|   |          c'
|   |          ---- <dg0,gdd<<0,42>,3>> --->
|   |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
|   |            c'
|   |            ---- <g0,gdd<<0,42>,3>> --->
|   |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
|   |              c'
|   |              ---- <0,gdd<<0,42>,3>> --->
|   |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- dd<0,gdd<<0,42>,3>> --->
|   |              psi; psi; e'; phi
|   |              ---- dgdd<<0,42>,3> --->
|   |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- gdd<<0,42>,3> --->
|   |              psi; phi; phi
|   |              ---- dgdd<<0,42>,3> --->
|   |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- gdd<<0,42>,3> --->
|   |              psi
|   |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
|   |            ---- dd<<0,42>,3> --->
|   |            psi; e; phi; phi
|   |            ---- dd<0,d<<0,42>,3>> --->
|   |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
|   |              h; v
|   |              0 {
|   |                psi
|   |                ---- <<0,42>,3> --->
|   |                Answer l:[ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]
|   |                  d'; v
|   |                  0 {
|   |                    ---- <42,3> --->
|   |                    Answer l:[ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]
|   |                      sum
|   |                    [ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]:Query r
|   |                    ---- <<42,3>,0> --->
|   |                    phi
|   |                  } 0
|   |                  u; h
|   |                [ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]:Answer
|   |                ---- dd<0,d<<42,3>,0>> --->
|   |                phi
|   |              } 0
|   |              u; h
|   |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
|   |            ---- dd<0,gdd<0,d<<42,3>,0>>> --->
|   |            psi; psi; e'; phi
|   |            ---- dgdd<0,d<<42,3>,0>> --->
|   |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
|   |              phi
|   |              ---- gdgdd<0,d<<42,3>,0>> --->
|   |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- dgdgdd<0,d<<42,3>,0>> --->
|   |              psi; psi; phi
|   |              ---- gdgdd<0,d<<42,3>,0>> --->
|   |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- dgdgdd<0,d<<42,3>,0>> --->
|   |              psi; e; phi; phi
|   |              ---- dd<0,gdgdd<0,d<<42,3>,0>>> --->
|   |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
|   |              ---- <0,gdgdd<0,d<<42,3>,0>>> --->
|   |              c
|   |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
|   |            ---- <g0,gdgdd<0,d<<42,3>,0>>> --->
|   |            c
|   |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
|   |          ---- <dg0,gdgdd<0,d<<42,3>,0>>> --->
|   |          c
|   |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
|   |        ---- <gdg0,gdgdd<0,d<<42,3>,0>>> --->
|   |        phi
|   |      } 0
|   |      u; h
|   |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
|   |    ---- dd<0,d<gdg0,gdgdd<0,d<<42,3>,0>>>> --->
|   |    psi; psi; e'; phi
|   |    ---- dd<gdg0,gdgdd<0,d<<42,3>,0>>> --->
|   |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing} ]
|   |      h; v
|   |      gdg0 {
|   |        psi
|   |        ---- dgdd<0,d<<42,3>,0>> --->
|   |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]
|   |          ---- dgdd<0,d<<42,3>,0>> --->
|   |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]
|   |            h
|   |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]:Answer
|   |          ---- gdd<0,d<<42,3>,0>> --->
|   |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]:Answer
|   |        ---- gdd<0,d<<42,3>,0>> --->
|   |        phi
|   |      } gdg0
|   |      u; h
|   |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing} ]:Answer
|   |    ---- dd<gdg0,ggdd<0,d<<42,3>,0>>> --->
|   |    psi; e; phi; phi
|   |    ---- dd<0,d<gdg0,ggdd<0,d<<42,3>,0>>>> --->
|   |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
|   |      h; v
|   |      0 {
|   |        psi
|   |        ---- <gdg0,ggdd<0,d<<42,3>,0>>> --->
|   |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
|   |          c'
|   |          ---- <dg0,ggdd<0,d<<42,3>,0>>> --->
|   |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
|   |            c'
|   |            ---- <g0,ggdd<0,d<<42,3>,0>>> --->
|   |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
|   |              c'
|   |              ---- <0,ggdd<0,d<<42,3>,0>>> --->
|   |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- dd<0,ggdd<0,d<<42,3>,0>>> --->
|   |              psi; psi; e'; phi
|   |              ---- dggdd<0,d<<42,3>,0>> --->
|   |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- ggdd<0,d<<42,3>,0>> --->
|   |              psi; phi; phi
|   |              ---- dggdd<0,d<<42,3>,0>> --->
|   |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- ggdd<0,d<<42,3>,0>> --->
|   |              psi
|   |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
|   |            ---- gdd<0,d<<42,3>,0>> --->
|   |            psi; phi; phi
|   |            ---- dgdd<0,d<<42,3>,0>> --->
|   |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
|   |              h
|   |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
|   |            ---- gdd<0,d<<42,3>,0>> --->
|   |            psi
|   |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Answer
|   |          ---- dd<0,d<<42,3>,0>> --->
|   |          psi; psi; e'; phi
|   |          ---- dd<<42,3>,0> --->
|   |          Query:[ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]
|   |            phi
|   |            ---- gdd<<42,3>,0> --->
|   |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
|   |              h
|   |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
|   |            ---- dgdd<<42,3>,0> --->
|   |            psi; psi; phi
|   |            ---- gdd<<42,3>,0> --->
|   |            Query:[ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]
|   |              h
|   |            [ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]:Answer
|   |            ---- dgdd<<42,3>,0> --->
|   |            psi; e; phi; phi
|   |            ---- dd<0,gdd<<42,3>,0>> --->
|   |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
|   |              h
|   |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Query f
|   |            ---- <0,gdd<<42,3>,0>> --->
|   |            c
|   |          [ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]:Query f
|   |          ---- <g0,gdd<<42,3>,0>> --->
|   |          c
|   |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
|   |        ---- <dg0,gdd<<42,3>,0>> --->
|   |        phi
|   |      } 0
|   |      u; h
|   |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
|   |    ---- dd<0,d<dg0,gdd<<42,3>,0>>> --->
|   |    psi; psi; e'; phi
|   |    ---- dd<dg0,gdd<<42,3>,0>> --->
|   |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing} ]
|   |      h; v
|   |      dg0 {
|   |        psi
|   |        ---- dd<<42,3>,0> --->
|   |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]
|   |          ---- dd<<42,3>,0> --->
|   |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]
|   |            h; k_5; h
|   |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]:Answer
|   |          ---- dd<<42,3>,5> --->
|   |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]:Answer
|   |        ---- dd<<42,3>,5> --->
|   |        phi
|   |      } dg0
|   |      u; h
|   |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing} ]:Answer
|   |    ---- dd<dg0,gdd<<42,3>,5>> --->
|   |    psi; e; phi; phi
|   |    ---- dd<0,d<dg0,gdd<<42,3>,5>>> --->
|   |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
|   |      h; v
|   |      0 {
|   |        psi
|   |        ---- <dg0,gdd<<42,3>,5>> --->
|   |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
|   |          c'
|   |          ---- <g0,gdd<<42,3>,5>> --->
|   |          Answer f:[ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]
|   |            c'
|   |            ---- <0,gdd<<42,3>,5>> --->
|   |            Answer f:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
|   |              h
|   |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
|   |            ---- dd<0,gdd<<42,3>,5>> --->
|   |            psi; psi; e'; phi
|   |            ---- dgdd<<42,3>,5> --->
|   |            Query:[ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]
|   |              h
|   |            [ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]:Answer
|   |            ---- gdd<<42,3>,5> --->
|   |            psi; phi; phi
|   |            ---- dgdd<<42,3>,5> --->
|   |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
|   |              h
|   |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
|   |            ---- gdd<<42,3>,5> --->
|   |            psi
|   |          [ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]:Answer
|   |          ---- dd<<42,3>,5> --->
|   |          psi; e; phi; phi
|   |          ---- dd<0,d<<42,3>,5>> --->
|   |          Query:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
|   |            phi
|   |            ---- gdd<0,d<<42,3>,5>> --->
|   |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
|   |              h
|   |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
|   |            ---- dgdd<0,d<<42,3>,5>> --->
|   |            psi; psi; phi
|   |            ---- gdd<0,d<<42,3>,5>> --->
|   |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
|   |              phi
|   |              ---- ggdd<0,d<<42,3>,5>> --->
|   |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- dggdd<0,d<<42,3>,5>> --->
|   |              psi; psi; phi
|   |              ---- ggdd<0,d<<42,3>,5>> --->
|   |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- dggdd<0,d<<42,3>,5>> --->
|   |              psi; e; phi; phi
|   |              ---- dd<0,ggdd<0,d<<42,3>,5>>> --->
|   |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
|   |              ---- <0,ggdd<0,d<<42,3>,5>>> --->
|   |              c
|   |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
|   |            ---- <g0,ggdd<0,d<<42,3>,5>>> --->
|   |            c
|   |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
|   |          ---- <dg0,ggdd<0,d<<42,3>,5>>> --->
|   |          c
|   |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
|   |        ---- <gdg0,ggdd<0,d<<42,3>,5>>> --->
|   |        phi
|   |      } 0
|   |      u; h
|   |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
|   |    ---- dd<0,d<gdg0,ggdd<0,d<<42,3>,5>>>> --->
|   |    psi; psi; e'; phi
|   |    ---- dd<gdg0,ggdd<0,d<<42,3>,5>>> --->
|   |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing} ]
|   |      h; v
|   |      gdg0 {
|   |        psi
|   |        ---- gdd<0,d<<42,3>,5>> --->
|   |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]
|   |          ---- gdd<0,d<<42,3>,5>> --->
|   |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]
|   |            h
|   |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]:Answer
|   |          ---- dgdd<0,d<<42,3>,5>> --->
|   |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]:Answer
|   |        ---- dgdd<0,d<<42,3>,5>> --->
|   |        phi
|   |      } gdg0
|   |      u; h
|   |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing} ]:Answer
|   |    ---- dd<gdg0,gdgdd<0,d<<42,3>,5>>> --->
|   |    psi; e; phi; phi
|   |    ---- dd<0,d<gdg0,gdgdd<0,d<<42,3>,5>>>> --->
|   |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
|   |      h; v
|   |      0 {
|   |        psi
|   |        ---- <gdg0,gdgdd<0,d<<42,3>,5>>> --->
|   |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
|   |          c'
|   |          ---- <dg0,gdgdd<0,d<<42,3>,5>>> --->
|   |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
|   |            c'
|   |            ---- <g0,gdgdd<0,d<<42,3>,5>>> --->
|   |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
|   |              c'
|   |              ---- <0,gdgdd<0,d<<42,3>,5>>> --->
|   |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- dd<0,gdgdd<0,d<<42,3>,5>>> --->
|   |              psi; psi; e'; phi
|   |              ---- dgdgdd<0,d<<42,3>,5>> --->
|   |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- gdgdd<0,d<<42,3>,5>> --->
|   |              psi; phi; phi
|   |              ---- dgdgdd<0,d<<42,3>,5>> --->
|   |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- gdgdd<0,d<<42,3>,5>> --->
|   |              psi
|   |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
|   |            ---- dgdd<0,d<<42,3>,5>> --->
|   |            psi; e; phi; phi
|   |            ---- dd<0,gdd<0,d<<42,3>,5>>> --->
|   |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
|   |              h; v
|   |              0 {
|   |                psi
|   |                ---- dd<0,d<<42,3>,5>> --->
|   |                Query:[ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]
|   |                  h; v
|   |                  0 {
|   |                    psi
|   |                    ---- <<42,3>,5> --->
|   |                    Answer r:[ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]
|   |                      sum; h
|   |                    [ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |                    ---- dd<42,8> --->
|   |                    phi
|   |                  } 0
|   |                  u; h
|   |                [ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]:Answer
|   |                ---- dd<0,gdd<42,8>> --->
|   |                phi
|   |              } 0
|   |              u; h
|   |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
|   |            ---- dd<0,gdd<0,gdd<42,8>>> --->
|   |            psi; psi; e'; phi
|   |            ---- dgdd<0,gdd<42,8>> --->
|   |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
|   |              phi
|   |              ---- gdgdd<0,gdd<42,8>> --->
|   |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- dgdgdd<0,gdd<42,8>> --->
|   |              psi; psi; phi
|   |              ---- gdgdd<0,gdd<42,8>> --->
|   |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- dgdgdd<0,gdd<42,8>> --->
|   |              psi; e; phi; phi
|   |              ---- dd<0,gdgdd<0,gdd<42,8>>> --->
|   |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
|   |              ---- <0,gdgdd<0,gdd<42,8>>> --->
|   |              c
|   |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
|   |            ---- <g0,gdgdd<0,gdd<42,8>>> --->
|   |            c
|   |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
|   |          ---- <dg0,gdgdd<0,gdd<42,8>>> --->
|   |          c
|   |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
|   |        ---- <gdg0,gdgdd<0,gdd<42,8>>> --->
|   |        phi
|   |      } 0
|   |      u; h
|   |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
|   |    ---- dd<0,d<gdg0,gdgdd<0,gdd<42,8>>>> --->
|   |    psi; psi; e'; phi
|   |    ---- dd<gdg0,gdgdd<0,gdd<42,8>>> --->
|   |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing} ]
|   |      h; v
|   |      gdg0 {
|   |        psi
|   |        ---- dgdd<0,gdd<42,8>> --->
|   |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]
|   |          ---- dgdd<0,gdd<42,8>> --->
|   |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]
|   |            h
|   |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]:Answer
|   |          ---- gdd<0,gdd<42,8>> --->
|   |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]:Answer
|   |        ---- gdd<0,gdd<42,8>> --->
|   |        phi
|   |      } gdg0
|   |      u; h
|   |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing} ]:Answer
|   |    ---- dd<gdg0,ggdd<0,gdd<42,8>>> --->
|   |    psi; e; phi; phi
|   |    ---- dd<0,d<gdg0,ggdd<0,gdd<42,8>>>> --->
|   |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
|   |      h; v
|   |      0 {
|   |        psi
|   |        ---- <gdg0,ggdd<0,gdd<42,8>>> --->
|   |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
|   |          c'
|   |          ---- <dg0,ggdd<0,gdd<42,8>>> --->
|   |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
|   |            c'
|   |            ---- <g0,ggdd<0,gdd<42,8>>> --->
|   |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
|   |              c'
|   |              ---- <0,ggdd<0,gdd<42,8>>> --->
|   |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- dd<0,ggdd<0,gdd<42,8>>> --->
|   |              psi; psi; e'; phi
|   |              ---- dggdd<0,gdd<42,8>> --->
|   |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- ggdd<0,gdd<42,8>> --->
|   |              psi; phi; phi
|   |              ---- dggdd<0,gdd<42,8>> --->
|   |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- ggdd<0,gdd<42,8>> --->
|   |              psi
|   |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
|   |            ---- gdd<0,gdd<42,8>> --->
|   |            psi; phi; phi
|   |            ---- dgdd<0,gdd<42,8>> --->
|   |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
|   |              h
|   |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
|   |            ---- gdd<0,gdd<42,8>> --->
|   |            psi
|   |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Answer
|   |          ---- dd<0,gdd<42,8>> --->
|   |          psi; psi; e'; phi
|   |          ---- dgdd<42,8> --->
|   |          Query:[ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]
|   |            phi
|   |            ---- gdgdd<42,8> --->
|   |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
|   |              h
|   |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
|   |            ---- dgdgdd<42,8> --->
|   |            psi; psi; phi
|   |            ---- gdgdd<42,8> --->
|   |            Query:[ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]
|   |              h
|   |            [ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]:Answer
|   |            ---- dgdgdd<42,8> --->
|   |            psi; e; phi; phi
|   |            ---- dd<0,gdgdd<42,8>> --->
|   |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
|   |              h
|   |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Query f
|   |            ---- <0,gdgdd<42,8>> --->
|   |            c
|   |          [ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]:Query f
|   |          ---- <g0,gdgdd<42,8>> --->
|   |          c
|   |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
|   |        ---- <dg0,gdgdd<42,8>> --->
|   |        phi
|   |      } 0
|   |      u; h
|   |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
|   |    ---- dd<0,d<dg0,gdgdd<42,8>>> --->
|   |    psi; psi; e'; phi
|   |    ---- dd<dg0,gdgdd<42,8>> --->
|   |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing} ]
|   |      h; v
|   |      dg0 {
|   |        psi
|   |        ---- dgdd<42,8> --->
|   |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]
|   |          ---- dgdd<42,8> --->
|   |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]
|   |            h
|   |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]:Answer
|   |          ---- gdd<42,8> --->
|   |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]:Answer
|   |        ---- gdd<42,8> --->
|   |        phi
|   |      } dg0
|   |      u; h
|   |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing} ]:Answer
|   |    ---- dd<dg0,ggdd<42,8>> --->
|   |    psi; e; phi; phi
|   |    ---- dd<0,d<dg0,ggdd<42,8>>> --->
|   |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
|   |      h; v
|   |      0 {
|   |        psi
|   |        ---- <dg0,ggdd<42,8>> --->
|   |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
|   |          c'
|   |          ---- <g0,ggdd<42,8>> --->
|   |          Answer f:[ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]
|   |            c'
|   |            ---- <0,ggdd<42,8>> --->
|   |            Answer f:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
|   |              h
|   |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
|   |            ---- dd<0,ggdd<42,8>> --->
|   |            psi; psi; e'; phi
|   |            ---- dggdd<42,8> --->
|   |            Query:[ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]
|   |              h
|   |            [ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]:Answer
|   |            ---- ggdd<42,8> --->
|   |            psi; phi; phi
|   |            ---- dggdd<42,8> --->
|   |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
|   |              h
|   |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
|   |            ---- ggdd<42,8> --->
|   |            psi
|   |          [ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]:Answer
|   |          ---- gdd<42,8> --->
|   |          psi; phi; phi
|   |          ---- dgdd<42,8> --->
|   |          Query:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
|   |            phi
|   |            ---- gdgdd<42,8> --->
|   |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
|   |              h
|   |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
|   |            ---- dgdgdd<42,8> --->
|   |            psi; psi; phi
|   |            ---- gdgdd<42,8> --->
|   |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
|   |              phi
|   |              ---- ggdgdd<42,8> --->
|   |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- dggdgdd<42,8> --->
|   |              psi; psi; phi
|   |              ---- ggdgdd<42,8> --->
|   |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- dggdgdd<42,8> --->
|   |              psi; e; phi; phi
|   |              ---- dd<0,ggdgdd<42,8>> --->
|   |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
|   |              ---- <0,ggdgdd<42,8>> --->
|   |              c
|   |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
|   |            ---- <g0,ggdgdd<42,8>> --->
|   |            c
|   |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
|   |          ---- <dg0,ggdgdd<42,8>> --->
|   |          c
|   |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
|   |        ---- <gdg0,ggdgdd<42,8>> --->
|   |        phi
|   |      } 0
|   |      u; h
|   |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
|   |    ---- dd<0,d<gdg0,ggdgdd<42,8>>> --->
|   |    psi; psi; e'; phi
|   |    ---- dd<gdg0,ggdgdd<42,8>> --->
|   |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing} ]
|   |      h; v
|   |      gdg0 {
|   |        psi
|   |        ---- gdgdd<42,8> --->
|   |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]
|   |          ---- gdgdd<42,8> --->
|   |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]
|   |            h
|   |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]:Answer
|   |          ---- dgdgdd<42,8> --->
|   |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]:Answer
|   |        ---- dgdgdd<42,8> --->
|   |        phi
|   |      } gdg0
|   |      u; h
|   |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing} ]:Answer
|   |    ---- dd<gdg0,gdgdgdd<42,8>> --->
|   |    psi; e; phi; phi
|   |    ---- dd<0,d<gdg0,gdgdgdd<42,8>>> --->
|   |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
|   |      h; v
|   |      0 {
|   |        psi
|   |        ---- <gdg0,gdgdgdd<42,8>> --->
|   |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
|   |          c'
|   |          ---- <dg0,gdgdgdd<42,8>> --->
|   |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
|   |            c'
|   |            ---- <g0,gdgdgdd<42,8>> --->
|   |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
|   |              c'
|   |              ---- <0,gdgdgdd<42,8>> --->
|   |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- dd<0,gdgdgdd<42,8>> --->
|   |              psi; psi; e'; phi
|   |              ---- dgdgdgdd<42,8> --->
|   |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- gdgdgdd<42,8> --->
|   |              psi; phi; phi
|   |              ---- dgdgdgdd<42,8> --->
|   |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- gdgdgdd<42,8> --->
|   |              psi
|   |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
|   |            ---- dgdgdd<42,8> --->
|   |            psi; e; phi; phi
|   |            ---- dd<0,gdgdd<42,8>> --->
|   |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
|   |              h; v
|   |              0 {
|   |                psi
|   |                ---- dgdd<42,8> --->
|   |                Query:[ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]
|   |                  h
|   |                [ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]:Answer
|   |                ---- gdd<42,8> --->
|   |                phi
|   |              } 0
|   |              u; h
|   |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
|   |            ---- dd<0,ggdd<42,8>> --->
|   |            psi; psi; e'; phi
|   |            ---- dggdd<42,8> --->
|   |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
|   |              phi
|   |              ---- gdggdd<42,8> --->
|   |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- dgdggdd<42,8> --->
|   |              psi; psi; phi
|   |              ---- gdggdd<42,8> --->
|   |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- dgdggdd<42,8> --->
|   |              psi; e; phi; phi
|   |              ---- dd<0,gdggdd<42,8>> --->
|   |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
|   |              ---- <0,gdggdd<42,8>> --->
|   |              c
|   |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
|   |            ---- <g0,gdggdd<42,8>> --->
|   |            c
|   |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
|   |          ---- <dg0,gdggdd<42,8>> --->
|   |          c
|   |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
|   |        ---- <gdg0,gdggdd<42,8>> --->
|   |        phi
|   |      } 0
|   |      u; h
|   |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
|   |    ---- dd<0,d<gdg0,gdggdd<42,8>>> --->
|   |    psi; psi; e'; phi
|   |    ---- dd<gdg0,gdggdd<42,8>> --->
|   |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing} ]
|   |      h; v
|   |      gdg0 {
|   |        psi
|   |        ---- dggdd<42,8> --->
|   |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]
|   |          ---- dggdd<42,8> --->
|   |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]
|   |            h
|   |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]:Answer
|   |          ---- ggdd<42,8> --->
|   |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]:Answer
|   |        ---- ggdd<42,8> --->
|   |        phi
|   |      } gdg0
|   |      u; h
|   |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing} ]:Answer
|   |    ---- dd<gdg0,gggdd<42,8>> --->
|   |    psi; e; phi; phi
|   |    ---- dd<0,d<gdg0,gggdd<42,8>>> --->
|   |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
|   |      h; v
|   |      0 {
|   |        psi
|   |        ---- <gdg0,gggdd<42,8>> --->
|   |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
|   |          c'
|   |          ---- <dg0,gggdd<42,8>> --->
|   |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
|   |            c'
|   |            ---- <g0,gggdd<42,8>> --->
|   |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
|   |              c'
|   |              ---- <0,gggdd<42,8>> --->
|   |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- dd<0,gggdd<42,8>> --->
|   |              psi; psi; e'; phi
|   |              ---- dgggdd<42,8> --->
|   |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- gggdd<42,8> --->
|   |              psi; phi; phi
|   |              ---- dgggdd<42,8> --->
|   |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
|   |                h
|   |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
|   |              ---- gggdd<42,8> --->
|   |              psi
|   |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
|   |            ---- ggdd<42,8> --->
|   |            psi; phi; phi
|   |            ---- dggdd<42,8> --->
|   |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
|   |              h
|   |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
|   |            ---- ggdd<42,8> --->
|   |            psi
|   |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Answer
|   |          ---- gdd<42,8> --->
|   |          psi
|   |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Answer
|   |        ---- dd<42,8> --->
|   |        phi
|   |      } 0
|   |      u; h
|   |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
|   |    ---- dd<0,gdd<42,8>> --->
|   |    psi; psi; e'; phi
|   |    ---- dgdd<42,8> --->
|   |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing} ]
|   |      h
|   |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing} ]:Answer
|   |    ---- gdd<42,8> --->
|   |    psi; phi; phi
|   |    ---- dgdd<42,8> --->
|   |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
|   |      h
|   |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
|   |    ---- gdd<42,8> --->
|   |    psi
|   |  [ [(\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|5)] @ ({_: (({_: {_: *}}, (*, *)), (*, *))}, {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing}) ]:Answer
|   |  ---- dd<42,8> --->
|   Result: 8 / State: ({_: (({_: {_: *}}, (*, *)), (*, *))}, {gdg0: Just (Left (*)), dg0: Just (Right (*)), _: Nothing})
`-.            ---- ggdd<42,137> --->
  |            Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]
  |              h
  |            [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]:Answer
  |            ---- dggdd<42,137> --->
  |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]:Answer
  |          ---- dggdd<42,137> --->
  |          phi
  |        } gdg0
  |        u; h
  |      [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), _: Nothing} ]:Answer
  |      ---- dd<gdg0,gdggdd<42,137>> --->
  |      psi; e; phi; phi
  |      ---- dd<0,d<gdg0,gdggdd<42,137>>> --->
  |      Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
  |        h; v
  |        0 {
  |          psi
  |          ---- <gdg0,gdggdd<42,137>> --->
  |          Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
  |            c'
  |            ---- <dg0,gdggdd<42,137>> --->
  |            Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
  |              c'
  |              ---- <g0,gdggdd<42,137>> --->
  |              Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
  |                c'
  |                ---- <0,gdggdd<42,137>> --->
  |                Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  |                  h
  |                [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  |                ---- dd<0,gdggdd<42,137>> --->
  |                psi; psi; e'; phi
  |                ---- dgdggdd<42,137> --->
  |                Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
  |                  h
  |                [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
  |                ---- gdggdd<42,137> --->
  |                psi; phi; phi
  |                ---- dgdggdd<42,137> --->
  |                Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  |                  h
  |                [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  |                ---- gdggdd<42,137> --->
  |                psi
  |              [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
  |              ---- dggdd<42,137> --->
  |              psi; e; phi; phi
  |              ---- dd<0,ggdd<42,137>> --->
  |              Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
  |                h; v
  |                0 {
  |                  psi
  |                  ---- gdd<42,137> --->
  |                  Query:[ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]
  |                    h
  |                  [ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]:Answer
  |                  ---- dgdd<42,137> --->
  |                  phi
  |                } 0
  |                u; h
  |              [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
  |              ---- dd<0,gdgdd<42,137>> --->
  |              psi; psi; e'; phi
  |              ---- dgdgdd<42,137> --->
  |              Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
  |                phi
  |                ---- gdgdgdd<42,137> --->
  |                Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  |                  h
  |                [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  |                ---- dgdgdgdd<42,137> --->
  |                psi; psi; phi
  |                ---- gdgdgdd<42,137> --->
  |                Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
  |                  h
  |                [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
  |                ---- dgdgdgdd<42,137> --->
  |                psi; e; phi; phi
  |                ---- dd<0,gdgdgdd<42,137>> --->
  |                Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  |                  h
  |                [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
  |                ---- <0,gdgdgdd<42,137>> --->
  |                c
  |              [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
  |              ---- <g0,gdgdgdd<42,137>> --->
  |              c
  |            [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
  |            ---- <dg0,gdgdgdd<42,137>> --->
  |            c
  |          [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
  |          ---- <gdg0,gdgdgdd<42,137>> --->
  |          phi
  |        } 0
  |        u; h
  |      [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
  |      ---- dd<0,d<gdg0,gdgdgdd<42,137>>> --->
  |      psi; psi; e'; phi
  |      ---- dd<gdg0,gdgdgdd<42,137>> --->
  |      Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), _: Nothing} ]
  |        h; v
  |        gdg0 {
  |          psi
  |          ---- dgdgdd<42,137> --->
  |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]
  |            ---- dgdgdd<42,137> --->
  |            Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]
  |              h
  |            [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]:Answer
  |            ---- gdgdd<42,137> --->
  |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]:Answer
  |          ---- gdgdd<42,137> --->
  |          phi
  |        } gdg0
  |        u; h
  |      [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), _: Nothing} ]:Answer
  |      ---- dd<gdg0,ggdgdd<42,137>> --->
  |      psi; e; phi; phi
  |      ---- dd<0,d<gdg0,ggdgdd<42,137>>> --->
  |      Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
  |        h; v
  |        0 {
  |          psi
  |          ---- <gdg0,ggdgdd<42,137>> --->
  |          Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
  |            c'
  |            ---- <dg0,ggdgdd<42,137>> --->
  |            Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
  |              c'
  |              ---- <g0,ggdgdd<42,137>> --->
  |              Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
  |                c'
  |                ---- <0,ggdgdd<42,137>> --->
  |                Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  |                  h
  |                [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  |                ---- dd<0,ggdgdd<42,137>> --->
  |                psi; psi; e'; phi
  |                ---- dggdgdd<42,137> --->
  |                Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
  |                  h
  |                [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
  |                ---- ggdgdd<42,137> --->
  |                psi; phi; phi
  |                ---- dggdgdd<42,137> --->
  |                Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  |                  h
  |                [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  |                ---- ggdgdd<42,137> --->
  |                psi
  |              [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
  |              ---- gdgdd<42,137> --->
  |              psi; phi; phi
  |              ---- dgdgdd<42,137> --->
  |              Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
  |                h
  |              [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
  |              ---- gdgdd<42,137> --->
  |              psi
  |            [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Answer
  |            ---- dgdd<42,137> --->
  |            psi; psi; phi
  |            ---- gdd<42,137> --->
  |            Query:[ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]
  |              phi
  |              ---- ggdd<42,137> --->
  |              Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
  |                h
  |              [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
  |              ---- dggdd<42,137> --->
  |              psi; psi; phi
  |              ---- ggdd<42,137> --->
  |              Query:[ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]
  |                h
  |              [ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]:Answer
  |              ---- dggdd<42,137> --->
  |              psi; e; phi; phi
  |              ---- dd<0,ggdd<42,137>> --->
  |              Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
  |                h
  |              [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Query f
  |              ---- <0,ggdd<42,137>> --->
  |              c
  |            [ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]:Query f
  |            ---- <g0,ggdd<42,137>> --->
  |            c
  |          [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
  |          ---- <dg0,ggdd<42,137>> --->
  |          phi
  |        } 0
  |        u; h
  |      [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
  |      ---- dd<0,d<dg0,ggdd<42,137>>> --->
  |      psi; psi; e'; phi
  |      ---- dd<dg0,ggdd<42,137>> --->
  |      Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), _: Nothing} ]
  |        h; v
  |        dg0 {
  |          psi
  |          ---- gdd<42,137> --->
  |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Nothing ]
  |            *** algebraic operation *** : nondeterministic choice
  +-.          ---- gdd<42,137> --->
  | |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]
  | |            h
  | |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]:Answer
  | |          ---- dgdd<42,137> --->
  | |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]:Answer
  | |        ---- dgdd<42,137> --->
  | |        phi
  | |      } dg0
  | |      u; h
  | |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing} ]:Answer
  | |    ---- dd<dg0,gdgdd<42,137>> --->
  | |    psi; e; phi; phi
  | |    ---- dd<0,d<dg0,gdgdd<42,137>>> --->
  | |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
  | |      h; v
  | |      0 {
  | |        psi
  | |        ---- <dg0,gdgdd<42,137>> --->
  | |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
  | |          c'
  | |          ---- <g0,gdgdd<42,137>> --->
  | |          Answer f:[ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]
  | |            c'
  | |            ---- <0,gdgdd<42,137>> --->
  | |            Answer f:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
  | |              h
  | |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
  | |            ---- dd<0,gdgdd<42,137>> --->
  | |            psi; psi; e'; phi
  | |            ---- dgdgdd<42,137> --->
  | |            Query:[ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]
  | |              h
  | |            [ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]:Answer
  | |            ---- gdgdd<42,137> --->
  | |            psi; phi; phi
  | |            ---- dgdgdd<42,137> --->
  | |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
  | |              h
  | |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
  | |            ---- gdgdd<42,137> --->
  | |            psi
  | |          [ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]:Answer
  | |          ---- dgdd<42,137> --->
  | |          psi; e; phi; phi
  | |          ---- dd<0,gdd<42,137>> --->
  | |          Query:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
  | |            phi
  | |            ---- gdd<0,gdd<42,137>> --->
  | |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
  | |              h
  | |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
  | |            ---- dgdd<0,gdd<42,137>> --->
  | |            psi; psi; phi
  | |            ---- gdd<0,gdd<42,137>> --->
  | |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
  | |              phi
  | |              ---- ggdd<0,gdd<42,137>> --->
  | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- dggdd<0,gdd<42,137>> --->
  | |              psi; psi; phi
  | |              ---- ggdd<0,gdd<42,137>> --->
  | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- dggdd<0,gdd<42,137>> --->
  | |              psi; e; phi; phi
  | |              ---- dd<0,ggdd<0,gdd<42,137>>> --->
  | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
  | |              ---- <0,ggdd<0,gdd<42,137>>> --->
  | |              c
  | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
  | |            ---- <g0,ggdd<0,gdd<42,137>>> --->
  | |            c
  | |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
  | |          ---- <dg0,ggdd<0,gdd<42,137>>> --->
  | |          c
  | |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
  | |        ---- <gdg0,ggdd<0,gdd<42,137>>> --->
  | |        phi
  | |      } 0
  | |      u; h
  | |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
  | |    ---- dd<0,d<gdg0,ggdd<0,gdd<42,137>>>> --->
  | |    psi; psi; e'; phi
  | |    ---- dd<gdg0,ggdd<0,gdd<42,137>>> --->
  | |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing} ]
  | |      h; v
  | |      gdg0 {
  | |        psi
  | |        ---- gdd<0,gdd<42,137>> --->
  | |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]
  | |          ---- gdd<0,gdd<42,137>> --->
  | |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]
  | |            h
  | |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]:Answer
  | |          ---- dgdd<0,gdd<42,137>> --->
  | |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]:Answer
  | |        ---- dgdd<0,gdd<42,137>> --->
  | |        phi
  | |      } gdg0
  | |      u; h
  | |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing} ]:Answer
  | |    ---- dd<gdg0,gdgdd<0,gdd<42,137>>> --->
  | |    psi; e; phi; phi
  | |    ---- dd<0,d<gdg0,gdgdd<0,gdd<42,137>>>> --->
  | |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
  | |      h; v
  | |      0 {
  | |        psi
  | |        ---- <gdg0,gdgdd<0,gdd<42,137>>> --->
  | |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
  | |          c'
  | |          ---- <dg0,gdgdd<0,gdd<42,137>>> --->
  | |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
  | |            c'
  | |            ---- <g0,gdgdd<0,gdd<42,137>>> --->
  | |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
  | |              c'
  | |              ---- <0,gdgdd<0,gdd<42,137>>> --->
  | |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- dd<0,gdgdd<0,gdd<42,137>>> --->
  | |              psi; psi; e'; phi
  | |              ---- dgdgdd<0,gdd<42,137>> --->
  | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- gdgdd<0,gdd<42,137>> --->
  | |              psi; phi; phi
  | |              ---- dgdgdd<0,gdd<42,137>> --->
  | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- gdgdd<0,gdd<42,137>> --->
  | |              psi
  | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
  | |            ---- dgdd<0,gdd<42,137>> --->
  | |            psi; e; phi; phi
  | |            ---- dd<0,gdd<0,gdd<42,137>>> --->
  | |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
  | |              h; v
  | |              0 {
  | |                psi
  | |                ---- dd<0,gdd<42,137>> --->
  | |                Query:[ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]
  | |                  h; v
  | |                  0 {
  | |                    psi
  | |                    ---- dd<42,137> --->
  | |                    Query:[ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]
  | |                      h; sum
  | |                    [ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]:Query l
  | |                    ---- <42,137> --->
  | |                  } 0
  | |                  u; d
  | |                [ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]:Query l
  | |                ---- <<0,42>,137> --->
  | |                phi
  | |              } 0
  | |              u; h
  | |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
  | |            ---- dd<0,d<<0,42>,137>> --->
  | |            psi; psi; e'; phi
  | |            ---- dd<<0,42>,137> --->
  | |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
  | |              phi
  | |              ---- gdd<<0,42>,137> --->
  | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- dgdd<<0,42>,137> --->
  | |              psi; psi; phi
  | |              ---- gdd<<0,42>,137> --->
  | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- dgdd<<0,42>,137> --->
  | |              psi; e; phi; phi
  | |              ---- dd<0,gdd<<0,42>,137>> --->
  | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
  | |              ---- <0,gdd<<0,42>,137>> --->
  | |              c
  | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
  | |            ---- <g0,gdd<<0,42>,137>> --->
  | |            c
  | |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
  | |          ---- <dg0,gdd<<0,42>,137>> --->
  | |          c
  | |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
  | |        ---- <gdg0,gdd<<0,42>,137>> --->
  | |        phi
  | |      } 0
  | |      u; h
  | |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
  | |    ---- dd<0,d<gdg0,gdd<<0,42>,137>>> --->
  | |    psi; psi; e'; phi
  | |    ---- dd<gdg0,gdd<<0,42>,137>> --->
  | |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing} ]
  | |      h; v
  | |      gdg0 {
  | |        psi
  | |        ---- dd<<0,42>,137> --->
  | |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]
  | |          ---- dd<<0,42>,137> --->
  | |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]
  | |            h; k_5; h
  | |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]:Answer
  | |          ---- dd<<0,42>,5> --->
  | |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]:Answer
  | |        ---- dd<<0,42>,5> --->
  | |        phi
  | |      } gdg0
  | |      u; h
  | |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing} ]:Answer
  | |    ---- dd<gdg0,gdd<<0,42>,5>> --->
  | |    psi; e; phi; phi
  | |    ---- dd<0,d<gdg0,gdd<<0,42>,5>>> --->
  | |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
  | |      h; v
  | |      0 {
  | |        psi
  | |        ---- <gdg0,gdd<<0,42>,5>> --->
  | |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
  | |          c'
  | |          ---- <dg0,gdd<<0,42>,5>> --->
  | |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
  | |            c'
  | |            ---- <g0,gdd<<0,42>,5>> --->
  | |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
  | |              c'
  | |              ---- <0,gdd<<0,42>,5>> --->
  | |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- dd<0,gdd<<0,42>,5>> --->
  | |              psi; psi; e'; phi
  | |              ---- dgdd<<0,42>,5> --->
  | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- gdd<<0,42>,5> --->
  | |              psi; phi; phi
  | |              ---- dgdd<<0,42>,5> --->
  | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- gdd<<0,42>,5> --->
  | |              psi
  | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
  | |            ---- dd<<0,42>,5> --->
  | |            psi; e; phi; phi
  | |            ---- dd<0,d<<0,42>,5>> --->
  | |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
  | |              h; v
  | |              0 {
  | |                psi
  | |                ---- <<0,42>,5> --->
  | |                Answer l:[ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]
  | |                  d'; v
  | |                  0 {
  | |                    ---- <42,5> --->
  | |                    Answer l:[ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]
  | |                      sum
  | |                    [ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]:Query r
  | |                    ---- <<42,5>,0> --->
  | |                    phi
  | |                  } 0
  | |                  u; h
  | |                [ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]:Answer
  | |                ---- dd<0,d<<42,5>,0>> --->
  | |                phi
  | |              } 0
  | |              u; h
  | |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
  | |            ---- dd<0,gdd<0,d<<42,5>,0>>> --->
  | |            psi; psi; e'; phi
  | |            ---- dgdd<0,d<<42,5>,0>> --->
  | |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
  | |              phi
  | |              ---- gdgdd<0,d<<42,5>,0>> --->
  | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- dgdgdd<0,d<<42,5>,0>> --->
  | |              psi; psi; phi
  | |              ---- gdgdd<0,d<<42,5>,0>> --->
  | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- dgdgdd<0,d<<42,5>,0>> --->
  | |              psi; e; phi; phi
  | |              ---- dd<0,gdgdd<0,d<<42,5>,0>>> --->
  | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
  | |              ---- <0,gdgdd<0,d<<42,5>,0>>> --->
  | |              c
  | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
  | |            ---- <g0,gdgdd<0,d<<42,5>,0>>> --->
  | |            c
  | |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
  | |          ---- <dg0,gdgdd<0,d<<42,5>,0>>> --->
  | |          c
  | |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
  | |        ---- <gdg0,gdgdd<0,d<<42,5>,0>>> --->
  | |        phi
  | |      } 0
  | |      u; h
  | |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
  | |    ---- dd<0,d<gdg0,gdgdd<0,d<<42,5>,0>>>> --->
  | |    psi; psi; e'; phi
  | |    ---- dd<gdg0,gdgdd<0,d<<42,5>,0>>> --->
  | |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing} ]
  | |      h; v
  | |      gdg0 {
  | |        psi
  | |        ---- dgdd<0,d<<42,5>,0>> --->
  | |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]
  | |          ---- dgdd<0,d<<42,5>,0>> --->
  | |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]
  | |            h
  | |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]:Answer
  | |          ---- gdd<0,d<<42,5>,0>> --->
  | |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]:Answer
  | |        ---- gdd<0,d<<42,5>,0>> --->
  | |        phi
  | |      } gdg0
  | |      u; h
  | |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing} ]:Answer
  | |    ---- dd<gdg0,ggdd<0,d<<42,5>,0>>> --->
  | |    psi; e; phi; phi
  | |    ---- dd<0,d<gdg0,ggdd<0,d<<42,5>,0>>>> --->
  | |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
  | |      h; v
  | |      0 {
  | |        psi
  | |        ---- <gdg0,ggdd<0,d<<42,5>,0>>> --->
  | |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
  | |          c'
  | |          ---- <dg0,ggdd<0,d<<42,5>,0>>> --->
  | |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
  | |            c'
  | |            ---- <g0,ggdd<0,d<<42,5>,0>>> --->
  | |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
  | |              c'
  | |              ---- <0,ggdd<0,d<<42,5>,0>>> --->
  | |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- dd<0,ggdd<0,d<<42,5>,0>>> --->
  | |              psi; psi; e'; phi
  | |              ---- dggdd<0,d<<42,5>,0>> --->
  | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- ggdd<0,d<<42,5>,0>> --->
  | |              psi; phi; phi
  | |              ---- dggdd<0,d<<42,5>,0>> --->
  | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- ggdd<0,d<<42,5>,0>> --->
  | |              psi
  | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
  | |            ---- gdd<0,d<<42,5>,0>> --->
  | |            psi; phi; phi
  | |            ---- dgdd<0,d<<42,5>,0>> --->
  | |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
  | |              h
  | |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
  | |            ---- gdd<0,d<<42,5>,0>> --->
  | |            psi
  | |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Answer
  | |          ---- dd<0,d<<42,5>,0>> --->
  | |          psi; psi; e'; phi
  | |          ---- dd<<42,5>,0> --->
  | |          Query:[ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]
  | |            phi
  | |            ---- gdd<<42,5>,0> --->
  | |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
  | |              h
  | |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
  | |            ---- dgdd<<42,5>,0> --->
  | |            psi; psi; phi
  | |            ---- gdd<<42,5>,0> --->
  | |            Query:[ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]
  | |              h
  | |            [ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]:Answer
  | |            ---- dgdd<<42,5>,0> --->
  | |            psi; e; phi; phi
  | |            ---- dd<0,gdd<<42,5>,0>> --->
  | |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
  | |              h
  | |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Query f
  | |            ---- <0,gdd<<42,5>,0>> --->
  | |            c
  | |          [ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]:Query f
  | |          ---- <g0,gdd<<42,5>,0>> --->
  | |          c
  | |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
  | |        ---- <dg0,gdd<<42,5>,0>> --->
  | |        phi
  | |      } 0
  | |      u; h
  | |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
  | |    ---- dd<0,d<dg0,gdd<<42,5>,0>>> --->
  | |    psi; psi; e'; phi
  | |    ---- dd<dg0,gdd<<42,5>,0>> --->
  | |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing} ]
  | |      h; v
  | |      dg0 {
  | |        psi
  | |        ---- dd<<42,5>,0> --->
  | |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]
  | |          ---- dd<<42,5>,0> --->
  | |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]
  | |            h; k_3; h
  | |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]:Answer
  | |          ---- dd<<42,5>,3> --->
  | |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]:Answer
  | |        ---- dd<<42,5>,3> --->
  | |        phi
  | |      } dg0
  | |      u; h
  | |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing} ]:Answer
  | |    ---- dd<dg0,gdd<<42,5>,3>> --->
  | |    psi; e; phi; phi
  | |    ---- dd<0,d<dg0,gdd<<42,5>,3>>> --->
  | |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
  | |      h; v
  | |      0 {
  | |        psi
  | |        ---- <dg0,gdd<<42,5>,3>> --->
  | |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
  | |          c'
  | |          ---- <g0,gdd<<42,5>,3>> --->
  | |          Answer f:[ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]
  | |            c'
  | |            ---- <0,gdd<<42,5>,3>> --->
  | |            Answer f:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
  | |              h
  | |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
  | |            ---- dd<0,gdd<<42,5>,3>> --->
  | |            psi; psi; e'; phi
  | |            ---- dgdd<<42,5>,3> --->
  | |            Query:[ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]
  | |              h
  | |            [ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]:Answer
  | |            ---- gdd<<42,5>,3> --->
  | |            psi; phi; phi
  | |            ---- dgdd<<42,5>,3> --->
  | |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
  | |              h
  | |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
  | |            ---- gdd<<42,5>,3> --->
  | |            psi
  | |          [ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]:Answer
  | |          ---- dd<<42,5>,3> --->
  | |          psi; e; phi; phi
  | |          ---- dd<0,d<<42,5>,3>> --->
  | |          Query:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
  | |            phi
  | |            ---- gdd<0,d<<42,5>,3>> --->
  | |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
  | |              h
  | |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
  | |            ---- dgdd<0,d<<42,5>,3>> --->
  | |            psi; psi; phi
  | |            ---- gdd<0,d<<42,5>,3>> --->
  | |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
  | |              phi
  | |              ---- ggdd<0,d<<42,5>,3>> --->
  | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- dggdd<0,d<<42,5>,3>> --->
  | |              psi; psi; phi
  | |              ---- ggdd<0,d<<42,5>,3>> --->
  | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- dggdd<0,d<<42,5>,3>> --->
  | |              psi; e; phi; phi
  | |              ---- dd<0,ggdd<0,d<<42,5>,3>>> --->
  | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
  | |              ---- <0,ggdd<0,d<<42,5>,3>>> --->
  | |              c
  | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
  | |            ---- <g0,ggdd<0,d<<42,5>,3>>> --->
  | |            c
  | |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
  | |          ---- <dg0,ggdd<0,d<<42,5>,3>>> --->
  | |          c
  | |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
  | |        ---- <gdg0,ggdd<0,d<<42,5>,3>>> --->
  | |        phi
  | |      } 0
  | |      u; h
  | |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
  | |    ---- dd<0,d<gdg0,ggdd<0,d<<42,5>,3>>>> --->
  | |    psi; psi; e'; phi
  | |    ---- dd<gdg0,ggdd<0,d<<42,5>,3>>> --->
  | |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing} ]
  | |      h; v
  | |      gdg0 {
  | |        psi
  | |        ---- gdd<0,d<<42,5>,3>> --->
  | |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]
  | |          ---- gdd<0,d<<42,5>,3>> --->
  | |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]
  | |            h
  | |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]:Answer
  | |          ---- dgdd<0,d<<42,5>,3>> --->
  | |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]:Answer
  | |        ---- dgdd<0,d<<42,5>,3>> --->
  | |        phi
  | |      } gdg0
  | |      u; h
  | |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing} ]:Answer
  | |    ---- dd<gdg0,gdgdd<0,d<<42,5>,3>>> --->
  | |    psi; e; phi; phi
  | |    ---- dd<0,d<gdg0,gdgdd<0,d<<42,5>,3>>>> --->
  | |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
  | |      h; v
  | |      0 {
  | |        psi
  | |        ---- <gdg0,gdgdd<0,d<<42,5>,3>>> --->
  | |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
  | |          c'
  | |          ---- <dg0,gdgdd<0,d<<42,5>,3>>> --->
  | |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
  | |            c'
  | |            ---- <g0,gdgdd<0,d<<42,5>,3>>> --->
  | |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
  | |              c'
  | |              ---- <0,gdgdd<0,d<<42,5>,3>>> --->
  | |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- dd<0,gdgdd<0,d<<42,5>,3>>> --->
  | |              psi; psi; e'; phi
  | |              ---- dgdgdd<0,d<<42,5>,3>> --->
  | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- gdgdd<0,d<<42,5>,3>> --->
  | |              psi; phi; phi
  | |              ---- dgdgdd<0,d<<42,5>,3>> --->
  | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- gdgdd<0,d<<42,5>,3>> --->
  | |              psi
  | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
  | |            ---- dgdd<0,d<<42,5>,3>> --->
  | |            psi; e; phi; phi
  | |            ---- dd<0,gdd<0,d<<42,5>,3>>> --->
  | |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
  | |              h; v
  | |              0 {
  | |                psi
  | |                ---- dd<0,d<<42,5>,3>> --->
  | |                Query:[ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]
  | |                  h; v
  | |                  0 {
  | |                    psi
  | |                    ---- <<42,5>,3> --->
  | |                    Answer r:[ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]
  | |                      sum; h
  | |                    [ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |                    ---- dd<42,8> --->
  | |                    phi
  | |                  } 0
  | |                  u; h
  | |                [ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]:Answer
  | |                ---- dd<0,gdd<42,8>> --->
  | |                phi
  | |              } 0
  | |              u; h
  | |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
  | |            ---- dd<0,gdd<0,gdd<42,8>>> --->
  | |            psi; psi; e'; phi
  | |            ---- dgdd<0,gdd<42,8>> --->
  | |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
  | |              phi
  | |              ---- gdgdd<0,gdd<42,8>> --->
  | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- dgdgdd<0,gdd<42,8>> --->
  | |              psi; psi; phi
  | |              ---- gdgdd<0,gdd<42,8>> --->
  | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- dgdgdd<0,gdd<42,8>> --->
  | |              psi; e; phi; phi
  | |              ---- dd<0,gdgdd<0,gdd<42,8>>> --->
  | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
  | |              ---- <0,gdgdd<0,gdd<42,8>>> --->
  | |              c
  | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
  | |            ---- <g0,gdgdd<0,gdd<42,8>>> --->
  | |            c
  | |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
  | |          ---- <dg0,gdgdd<0,gdd<42,8>>> --->
  | |          c
  | |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
  | |        ---- <gdg0,gdgdd<0,gdd<42,8>>> --->
  | |        phi
  | |      } 0
  | |      u; h
  | |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
  | |    ---- dd<0,d<gdg0,gdgdd<0,gdd<42,8>>>> --->
  | |    psi; psi; e'; phi
  | |    ---- dd<gdg0,gdgdd<0,gdd<42,8>>> --->
  | |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing} ]
  | |      h; v
  | |      gdg0 {
  | |        psi
  | |        ---- dgdd<0,gdd<42,8>> --->
  | |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]
  | |          ---- dgdd<0,gdd<42,8>> --->
  | |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]
  | |            h
  | |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]:Answer
  | |          ---- gdd<0,gdd<42,8>> --->
  | |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]:Answer
  | |        ---- gdd<0,gdd<42,8>> --->
  | |        phi
  | |      } gdg0
  | |      u; h
  | |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing} ]:Answer
  | |    ---- dd<gdg0,ggdd<0,gdd<42,8>>> --->
  | |    psi; e; phi; phi
  | |    ---- dd<0,d<gdg0,ggdd<0,gdd<42,8>>>> --->
  | |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
  | |      h; v
  | |      0 {
  | |        psi
  | |        ---- <gdg0,ggdd<0,gdd<42,8>>> --->
  | |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
  | |          c'
  | |          ---- <dg0,ggdd<0,gdd<42,8>>> --->
  | |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
  | |            c'
  | |            ---- <g0,ggdd<0,gdd<42,8>>> --->
  | |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
  | |              c'
  | |              ---- <0,ggdd<0,gdd<42,8>>> --->
  | |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- dd<0,ggdd<0,gdd<42,8>>> --->
  | |              psi; psi; e'; phi
  | |              ---- dggdd<0,gdd<42,8>> --->
  | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- ggdd<0,gdd<42,8>> --->
  | |              psi; phi; phi
  | |              ---- dggdd<0,gdd<42,8>> --->
  | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- ggdd<0,gdd<42,8>> --->
  | |              psi
  | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
  | |            ---- gdd<0,gdd<42,8>> --->
  | |            psi; phi; phi
  | |            ---- dgdd<0,gdd<42,8>> --->
  | |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
  | |              h
  | |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
  | |            ---- gdd<0,gdd<42,8>> --->
  | |            psi
  | |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Answer
  | |          ---- dd<0,gdd<42,8>> --->
  | |          psi; psi; e'; phi
  | |          ---- dgdd<42,8> --->
  | |          Query:[ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]
  | |            phi
  | |            ---- gdgdd<42,8> --->
  | |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
  | |              h
  | |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
  | |            ---- dgdgdd<42,8> --->
  | |            psi; psi; phi
  | |            ---- gdgdd<42,8> --->
  | |            Query:[ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]
  | |              h
  | |            [ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]:Answer
  | |            ---- dgdgdd<42,8> --->
  | |            psi; e; phi; phi
  | |            ---- dd<0,gdgdd<42,8>> --->
  | |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
  | |              h
  | |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Query f
  | |            ---- <0,gdgdd<42,8>> --->
  | |            c
  | |          [ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]:Query f
  | |          ---- <g0,gdgdd<42,8>> --->
  | |          c
  | |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
  | |        ---- <dg0,gdgdd<42,8>> --->
  | |        phi
  | |      } 0
  | |      u; h
  | |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
  | |    ---- dd<0,d<dg0,gdgdd<42,8>>> --->
  | |    psi; psi; e'; phi
  | |    ---- dd<dg0,gdgdd<42,8>> --->
  | |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing} ]
  | |      h; v
  | |      dg0 {
  | |        psi
  | |        ---- dgdd<42,8> --->
  | |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]
  | |          ---- dgdd<42,8> --->
  | |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]
  | |            h
  | |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3]|_|5) @ * ]:Answer
  | |          ---- gdd<42,8> --->
  | |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Left (*)) ]:Answer
  | |        ---- gdd<42,8> --->
  | |        phi
  | |      } dg0
  | |      u; h
  | |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing} ]:Answer
  | |    ---- dd<dg0,ggdd<42,8>> --->
  | |    psi; e; phi; phi
  | |    ---- dd<0,d<dg0,ggdd<42,8>>> --->
  | |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
  | |      h; v
  | |      0 {
  | |        psi
  | |        ---- <dg0,ggdd<42,8>> --->
  | |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
  | |          c'
  | |          ---- <g0,ggdd<42,8>> --->
  | |          Answer f:[ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]
  | |            c'
  | |            ---- <0,ggdd<42,8>> --->
  | |            Answer f:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
  | |              h
  | |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
  | |            ---- dd<0,ggdd<42,8>> --->
  | |            psi; psi; e'; phi
  | |            ---- dggdd<42,8> --->
  | |            Query:[ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]
  | |              h
  | |            [ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]:Answer
  | |            ---- ggdd<42,8> --->
  | |            psi; phi; phi
  | |            ---- dggdd<42,8> --->
  | |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
  | |              h
  | |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
  | |            ---- ggdd<42,8> --->
  | |            psi
  | |          [ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]:Answer
  | |          ---- gdd<42,8> --->
  | |          psi; phi; phi
  | |          ---- dgdd<42,8> --->
  | |          Query:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
  | |            phi
  | |            ---- gdgdd<42,8> --->
  | |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
  | |              h
  | |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
  | |            ---- dgdgdd<42,8> --->
  | |            psi; psi; phi
  | |            ---- gdgdd<42,8> --->
  | |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
  | |              phi
  | |              ---- ggdgdd<42,8> --->
  | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- dggdgdd<42,8> --->
  | |              psi; psi; phi
  | |              ---- ggdgdd<42,8> --->
  | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- dggdgdd<42,8> --->
  | |              psi; e; phi; phi
  | |              ---- dd<0,ggdgdd<42,8>> --->
  | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
  | |              ---- <0,ggdgdd<42,8>> --->
  | |              c
  | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
  | |            ---- <g0,ggdgdd<42,8>> --->
  | |            c
  | |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
  | |          ---- <dg0,ggdgdd<42,8>> --->
  | |          c
  | |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
  | |        ---- <gdg0,ggdgdd<42,8>> --->
  | |        phi
  | |      } 0
  | |      u; h
  | |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
  | |    ---- dd<0,d<gdg0,ggdgdd<42,8>>> --->
  | |    psi; psi; e'; phi
  | |    ---- dd<gdg0,ggdgdd<42,8>> --->
  | |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing} ]
  | |      h; v
  | |      gdg0 {
  | |        psi
  | |        ---- gdgdd<42,8> --->
  | |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]
  | |          ---- gdgdd<42,8> --->
  | |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]
  | |            h
  | |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]:Answer
  | |          ---- dgdgdd<42,8> --->
  | |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]:Answer
  | |        ---- dgdgdd<42,8> --->
  | |        phi
  | |      } gdg0
  | |      u; h
  | |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing} ]:Answer
  | |    ---- dd<gdg0,gdgdgdd<42,8>> --->
  | |    psi; e; phi; phi
  | |    ---- dd<0,d<gdg0,gdgdgdd<42,8>>> --->
  | |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
  | |      h; v
  | |      0 {
  | |        psi
  | |        ---- <gdg0,gdgdgdd<42,8>> --->
  | |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
  | |          c'
  | |          ---- <dg0,gdgdgdd<42,8>> --->
  | |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
  | |            c'
  | |            ---- <g0,gdgdgdd<42,8>> --->
  | |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
  | |              c'
  | |              ---- <0,gdgdgdd<42,8>> --->
  | |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- dd<0,gdgdgdd<42,8>> --->
  | |              psi; psi; e'; phi
  | |              ---- dgdgdgdd<42,8> --->
  | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- gdgdgdd<42,8> --->
  | |              psi; phi; phi
  | |              ---- dgdgdgdd<42,8> --->
  | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- gdgdgdd<42,8> --->
  | |              psi
  | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
  | |            ---- dgdgdd<42,8> --->
  | |            psi; e; phi; phi
  | |            ---- dd<0,gdgdd<42,8>> --->
  | |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
  | |              h; v
  | |              0 {
  | |                psi
  | |                ---- dgdd<42,8> --->
  | |                Query:[ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]
  | |                  h
  | |                [ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]:Answer
  | |                ---- gdd<42,8> --->
  | |                phi
  | |              } 0
  | |              u; h
  | |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
  | |            ---- dd<0,ggdd<42,8>> --->
  | |            psi; psi; e'; phi
  | |            ---- dggdd<42,8> --->
  | |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
  | |              phi
  | |              ---- gdggdd<42,8> --->
  | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- dgdggdd<42,8> --->
  | |              psi; psi; phi
  | |              ---- gdggdd<42,8> --->
  | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- dgdggdd<42,8> --->
  | |              psi; e; phi; phi
  | |              ---- dd<0,gdggdd<42,8>> --->
  | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
  | |              ---- <0,gdggdd<42,8>> --->
  | |              c
  | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
  | |            ---- <g0,gdggdd<42,8>> --->
  | |            c
  | |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
  | |          ---- <dg0,gdggdd<42,8>> --->
  | |          c
  | |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
  | |        ---- <gdg0,gdggdd<42,8>> --->
  | |        phi
  | |      } 0
  | |      u; h
  | |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
  | |    ---- dd<0,d<gdg0,gdggdd<42,8>>> --->
  | |    psi; psi; e'; phi
  | |    ---- dd<gdg0,gdggdd<42,8>> --->
  | |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing} ]
  | |      h; v
  | |      gdg0 {
  | |        psi
  | |        ---- dggdd<42,8> --->
  | |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]
  | |          ---- dggdd<42,8> --->
  | |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]
  | |            h
  | |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]:Answer
  | |          ---- ggdd<42,8> --->
  | |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]:Answer
  | |        ---- ggdd<42,8> --->
  | |        phi
  | |      } gdg0
  | |      u; h
  | |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing} ]:Answer
  | |    ---- dd<gdg0,gggdd<42,8>> --->
  | |    psi; e; phi; phi
  | |    ---- dd<0,d<gdg0,gggdd<42,8>>> --->
  | |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
  | |      h; v
  | |      0 {
  | |        psi
  | |        ---- <gdg0,gggdd<42,8>> --->
  | |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
  | |          c'
  | |          ---- <dg0,gggdd<42,8>> --->
  | |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
  | |            c'
  | |            ---- <g0,gggdd<42,8>> --->
  | |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
  | |              c'
  | |              ---- <0,gggdd<42,8>> --->
  | |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- dd<0,gggdd<42,8>> --->
  | |              psi; psi; e'; phi
  | |              ---- dgggdd<42,8> --->
  | |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- gggdd<42,8> --->
  | |              psi; phi; phi
  | |              ---- dgggdd<42,8> --->
  | |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
  | |                h
  | |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
  | |              ---- gggdd<42,8> --->
  | |              psi
  | |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
  | |            ---- ggdd<42,8> --->
  | |            psi; phi; phi
  | |            ---- dggdd<42,8> --->
  | |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
  | |              h
  | |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
  | |            ---- ggdd<42,8> --->
  | |            psi
  | |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Answer
  | |          ---- gdd<42,8> --->
  | |          psi
  | |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Answer
  | |        ---- dd<42,8> --->
  | |        phi
  | |      } 0
  | |      u; h
  | |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
  | |    ---- dd<0,gdd<42,8>> --->
  | |    psi; psi; e'; phi
  | |    ---- dgdd<42,8> --->
  | |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing} ]
  | |      h
  | |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing} ]:Answer
  | |    ---- gdd<42,8> --->
  | |    psi; phi; phi
  | |    ---- dgdd<42,8> --->
  | |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
  | |      h
  | |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
  | |    ---- gdd<42,8> --->
  | |    psi
  | |  [ [(\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|5)] @ ({_: (({_: {_: *}}, (*, *)), (*, *))}, {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing}) ]:Answer
  | |  ---- dd<42,8> --->
  | Result: 8 / State: ({_: (({_: {_: *}}, (*, *)), (*, *))}, {gdg0: Just (Right (*)), dg0: Just (Left (*)), _: Nothing})
  `-.          ---- gdd<42,137> --->
    |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]
    |            h
    |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]:Answer
    |          ---- dgdd<42,137> --->
    |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]:Answer
    |        ---- dgdd<42,137> --->
    |        phi
    |      } dg0
    |      u; h
    |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing} ]:Answer
    |    ---- dd<dg0,gdgdd<42,137>> --->
    |    psi; e; phi; phi
    |    ---- dd<0,d<dg0,gdgdd<42,137>>> --->
    |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
    |      h; v
    |      0 {
    |        psi
    |        ---- <dg0,gdgdd<42,137>> --->
    |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
    |          c'
    |          ---- <g0,gdgdd<42,137>> --->
    |          Answer f:[ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]
    |            c'
    |            ---- <0,gdgdd<42,137>> --->
    |            Answer f:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
    |              h
    |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
    |            ---- dd<0,gdgdd<42,137>> --->
    |            psi; psi; e'; phi
    |            ---- dgdgdd<42,137> --->
    |            Query:[ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]
    |              h
    |            [ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]:Answer
    |            ---- gdgdd<42,137> --->
    |            psi; phi; phi
    |            ---- dgdgdd<42,137> --->
    |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
    |              h
    |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
    |            ---- gdgdd<42,137> --->
    |            psi
    |          [ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]:Answer
    |          ---- dgdd<42,137> --->
    |          psi; e; phi; phi
    |          ---- dd<0,gdd<42,137>> --->
    |          Query:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
    |            phi
    |            ---- gdd<0,gdd<42,137>> --->
    |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
    |              h
    |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
    |            ---- dgdd<0,gdd<42,137>> --->
    |            psi; psi; phi
    |            ---- gdd<0,gdd<42,137>> --->
    |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
    |              phi
    |              ---- ggdd<0,gdd<42,137>> --->
    |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- dggdd<0,gdd<42,137>> --->
    |              psi; psi; phi
    |              ---- ggdd<0,gdd<42,137>> --->
    |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- dggdd<0,gdd<42,137>> --->
    |              psi; e; phi; phi
    |              ---- dd<0,ggdd<0,gdd<42,137>>> --->
    |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
    |              ---- <0,ggdd<0,gdd<42,137>>> --->
    |              c
    |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
    |            ---- <g0,ggdd<0,gdd<42,137>>> --->
    |            c
    |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
    |          ---- <dg0,ggdd<0,gdd<42,137>>> --->
    |          c
    |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
    |        ---- <gdg0,ggdd<0,gdd<42,137>>> --->
    |        phi
    |      } 0
    |      u; h
    |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
    |    ---- dd<0,d<gdg0,ggdd<0,gdd<42,137>>>> --->
    |    psi; psi; e'; phi
    |    ---- dd<gdg0,ggdd<0,gdd<42,137>>> --->
    |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing} ]
    |      h; v
    |      gdg0 {
    |        psi
    |        ---- gdd<0,gdd<42,137>> --->
    |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]
    |          ---- gdd<0,gdd<42,137>> --->
    |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]
    |            h
    |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]:Answer
    |          ---- dgdd<0,gdd<42,137>> --->
    |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]:Answer
    |        ---- dgdd<0,gdd<42,137>> --->
    |        phi
    |      } gdg0
    |      u; h
    |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing} ]:Answer
    |    ---- dd<gdg0,gdgdd<0,gdd<42,137>>> --->
    |    psi; e; phi; phi
    |    ---- dd<0,d<gdg0,gdgdd<0,gdd<42,137>>>> --->
    |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
    |      h; v
    |      0 {
    |        psi
    |        ---- <gdg0,gdgdd<0,gdd<42,137>>> --->
    |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
    |          c'
    |          ---- <dg0,gdgdd<0,gdd<42,137>>> --->
    |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
    |            c'
    |            ---- <g0,gdgdd<0,gdd<42,137>>> --->
    |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
    |              c'
    |              ---- <0,gdgdd<0,gdd<42,137>>> --->
    |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- dd<0,gdgdd<0,gdd<42,137>>> --->
    |              psi; psi; e'; phi
    |              ---- dgdgdd<0,gdd<42,137>> --->
    |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- gdgdd<0,gdd<42,137>> --->
    |              psi; phi; phi
    |              ---- dgdgdd<0,gdd<42,137>> --->
    |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- gdgdd<0,gdd<42,137>> --->
    |              psi
    |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
    |            ---- dgdd<0,gdd<42,137>> --->
    |            psi; e; phi; phi
    |            ---- dd<0,gdd<0,gdd<42,137>>> --->
    |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
    |              h; v
    |              0 {
    |                psi
    |                ---- dd<0,gdd<42,137>> --->
    |                Query:[ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]
    |                  h; v
    |                  0 {
    |                    psi
    |                    ---- dd<42,137> --->
    |                    Query:[ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]
    |                      h; sum
    |                    [ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]:Query l
    |                    ---- <42,137> --->
    |                  } 0
    |                  u; d
    |                [ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]:Query l
    |                ---- <<0,42>,137> --->
    |                phi
    |              } 0
    |              u; h
    |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
    |            ---- dd<0,d<<0,42>,137>> --->
    |            psi; psi; e'; phi
    |            ---- dd<<0,42>,137> --->
    |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
    |              phi
    |              ---- gdd<<0,42>,137> --->
    |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- dgdd<<0,42>,137> --->
    |              psi; psi; phi
    |              ---- gdd<<0,42>,137> --->
    |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- dgdd<<0,42>,137> --->
    |              psi; e; phi; phi
    |              ---- dd<0,gdd<<0,42>,137>> --->
    |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
    |              ---- <0,gdd<<0,42>,137>> --->
    |              c
    |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
    |            ---- <g0,gdd<<0,42>,137>> --->
    |            c
    |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
    |          ---- <dg0,gdd<<0,42>,137>> --->
    |          c
    |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
    |        ---- <gdg0,gdd<<0,42>,137>> --->
    |        phi
    |      } 0
    |      u; h
    |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
    |    ---- dd<0,d<gdg0,gdd<<0,42>,137>>> --->
    |    psi; psi; e'; phi
    |    ---- dd<gdg0,gdd<<0,42>,137>> --->
    |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing} ]
    |      h; v
    |      gdg0 {
    |        psi
    |        ---- dd<<0,42>,137> --->
    |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]
    |          ---- dd<<0,42>,137> --->
    |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]
    |            h; k_5; h
    |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]:Answer
    |          ---- dd<<0,42>,5> --->
    |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]:Answer
    |        ---- dd<<0,42>,5> --->
    |        phi
    |      } gdg0
    |      u; h
    |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing} ]:Answer
    |    ---- dd<gdg0,gdd<<0,42>,5>> --->
    |    psi; e; phi; phi
    |    ---- dd<0,d<gdg0,gdd<<0,42>,5>>> --->
    |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
    |      h; v
    |      0 {
    |        psi
    |        ---- <gdg0,gdd<<0,42>,5>> --->
    |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
    |          c'
    |          ---- <dg0,gdd<<0,42>,5>> --->
    |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
    |            c'
    |            ---- <g0,gdd<<0,42>,5>> --->
    |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
    |              c'
    |              ---- <0,gdd<<0,42>,5>> --->
    |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- dd<0,gdd<<0,42>,5>> --->
    |              psi; psi; e'; phi
    |              ---- dgdd<<0,42>,5> --->
    |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- gdd<<0,42>,5> --->
    |              psi; phi; phi
    |              ---- dgdd<<0,42>,5> --->
    |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- gdd<<0,42>,5> --->
    |              psi
    |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
    |            ---- dd<<0,42>,5> --->
    |            psi; e; phi; phi
    |            ---- dd<0,d<<0,42>,5>> --->
    |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
    |              h; v
    |              0 {
    |                psi
    |                ---- <<0,42>,5> --->
    |                Answer l:[ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]
    |                  d'; v
    |                  0 {
    |                    ---- <42,5> --->
    |                    Answer l:[ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]
    |                      sum
    |                    [ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]:Query r
    |                    ---- <<42,5>,0> --->
    |                    phi
    |                  } 0
    |                  u; h
    |                [ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]:Answer
    |                ---- dd<0,d<<42,5>,0>> --->
    |                phi
    |              } 0
    |              u; h
    |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
    |            ---- dd<0,gdd<0,d<<42,5>,0>>> --->
    |            psi; psi; e'; phi
    |            ---- dgdd<0,d<<42,5>,0>> --->
    |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
    |              phi
    |              ---- gdgdd<0,d<<42,5>,0>> --->
    |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- dgdgdd<0,d<<42,5>,0>> --->
    |              psi; psi; phi
    |              ---- gdgdd<0,d<<42,5>,0>> --->
    |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- dgdgdd<0,d<<42,5>,0>> --->
    |              psi; e; phi; phi
    |              ---- dd<0,gdgdd<0,d<<42,5>,0>>> --->
    |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
    |              ---- <0,gdgdd<0,d<<42,5>,0>>> --->
    |              c
    |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
    |            ---- <g0,gdgdd<0,d<<42,5>,0>>> --->
    |            c
    |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
    |          ---- <dg0,gdgdd<0,d<<42,5>,0>>> --->
    |          c
    |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
    |        ---- <gdg0,gdgdd<0,d<<42,5>,0>>> --->
    |        phi
    |      } 0
    |      u; h
    |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
    |    ---- dd<0,d<gdg0,gdgdd<0,d<<42,5>,0>>>> --->
    |    psi; psi; e'; phi
    |    ---- dd<gdg0,gdgdd<0,d<<42,5>,0>>> --->
    |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing} ]
    |      h; v
    |      gdg0 {
    |        psi
    |        ---- dgdd<0,d<<42,5>,0>> --->
    |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]
    |          ---- dgdd<0,d<<42,5>,0>> --->
    |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]
    |            h
    |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]:Answer
    |          ---- gdd<0,d<<42,5>,0>> --->
    |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]:Answer
    |        ---- gdd<0,d<<42,5>,0>> --->
    |        phi
    |      } gdg0
    |      u; h
    |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing} ]:Answer
    |    ---- dd<gdg0,ggdd<0,d<<42,5>,0>>> --->
    |    psi; e; phi; phi
    |    ---- dd<0,d<gdg0,ggdd<0,d<<42,5>,0>>>> --->
    |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
    |      h; v
    |      0 {
    |        psi
    |        ---- <gdg0,ggdd<0,d<<42,5>,0>>> --->
    |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
    |          c'
    |          ---- <dg0,ggdd<0,d<<42,5>,0>>> --->
    |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
    |            c'
    |            ---- <g0,ggdd<0,d<<42,5>,0>>> --->
    |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
    |              c'
    |              ---- <0,ggdd<0,d<<42,5>,0>>> --->
    |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- dd<0,ggdd<0,d<<42,5>,0>>> --->
    |              psi; psi; e'; phi
    |              ---- dggdd<0,d<<42,5>,0>> --->
    |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- ggdd<0,d<<42,5>,0>> --->
    |              psi; phi; phi
    |              ---- dggdd<0,d<<42,5>,0>> --->
    |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- ggdd<0,d<<42,5>,0>> --->
    |              psi
    |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
    |            ---- gdd<0,d<<42,5>,0>> --->
    |            psi; phi; phi
    |            ---- dgdd<0,d<<42,5>,0>> --->
    |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
    |              h
    |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
    |            ---- gdd<0,d<<42,5>,0>> --->
    |            psi
    |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Answer
    |          ---- dd<0,d<<42,5>,0>> --->
    |          psi; psi; e'; phi
    |          ---- dd<<42,5>,0> --->
    |          Query:[ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]
    |            phi
    |            ---- gdd<<42,5>,0> --->
    |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
    |              h
    |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
    |            ---- dgdd<<42,5>,0> --->
    |            psi; psi; phi
    |            ---- gdd<<42,5>,0> --->
    |            Query:[ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]
    |              h
    |            [ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]:Answer
    |            ---- dgdd<<42,5>,0> --->
    |            psi; e; phi; phi
    |            ---- dd<0,gdd<<42,5>,0>> --->
    |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
    |              h
    |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Query f
    |            ---- <0,gdd<<42,5>,0>> --->
    |            c
    |          [ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]:Query f
    |          ---- <g0,gdd<<42,5>,0>> --->
    |          c
    |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
    |        ---- <dg0,gdd<<42,5>,0>> --->
    |        phi
    |      } 0
    |      u; h
    |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
    |    ---- dd<0,d<dg0,gdd<<42,5>,0>>> --->
    |    psi; psi; e'; phi
    |    ---- dd<dg0,gdd<<42,5>,0>> --->
    |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing} ]
    |      h; v
    |      dg0 {
    |        psi
    |        ---- dd<<42,5>,0> --->
    |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]
    |          ---- dd<<42,5>,0> --->
    |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]
    |            h; k_5; h
    |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]:Answer
    |          ---- dd<<42,5>,5> --->
    |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]:Answer
    |        ---- dd<<42,5>,5> --->
    |        phi
    |      } dg0
    |      u; h
    |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing} ]:Answer
    |    ---- dd<dg0,gdd<<42,5>,5>> --->
    |    psi; e; phi; phi
    |    ---- dd<0,d<dg0,gdd<<42,5>,5>>> --->
    |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
    |      h; v
    |      0 {
    |        psi
    |        ---- <dg0,gdd<<42,5>,5>> --->
    |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
    |          c'
    |          ---- <g0,gdd<<42,5>,5>> --->
    |          Answer f:[ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]
    |            c'
    |            ---- <0,gdd<<42,5>,5>> --->
    |            Answer f:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
    |              h
    |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
    |            ---- dd<0,gdd<<42,5>,5>> --->
    |            psi; psi; e'; phi
    |            ---- dgdd<<42,5>,5> --->
    |            Query:[ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]
    |              h
    |            [ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]:Answer
    |            ---- gdd<<42,5>,5> --->
    |            psi; phi; phi
    |            ---- dgdd<<42,5>,5> --->
    |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
    |              h
    |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
    |            ---- gdd<<42,5>,5> --->
    |            psi
    |          [ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]:Answer
    |          ---- dd<<42,5>,5> --->
    |          psi; e; phi; phi
    |          ---- dd<0,d<<42,5>,5>> --->
    |          Query:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
    |            phi
    |            ---- gdd<0,d<<42,5>,5>> --->
    |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
    |              h
    |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
    |            ---- dgdd<0,d<<42,5>,5>> --->
    |            psi; psi; phi
    |            ---- gdd<0,d<<42,5>,5>> --->
    |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
    |              phi
    |              ---- ggdd<0,d<<42,5>,5>> --->
    |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- dggdd<0,d<<42,5>,5>> --->
    |              psi; psi; phi
    |              ---- ggdd<0,d<<42,5>,5>> --->
    |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- dggdd<0,d<<42,5>,5>> --->
    |              psi; e; phi; phi
    |              ---- dd<0,ggdd<0,d<<42,5>,5>>> --->
    |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
    |              ---- <0,ggdd<0,d<<42,5>,5>>> --->
    |              c
    |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
    |            ---- <g0,ggdd<0,d<<42,5>,5>>> --->
    |            c
    |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
    |          ---- <dg0,ggdd<0,d<<42,5>,5>>> --->
    |          c
    |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
    |        ---- <gdg0,ggdd<0,d<<42,5>,5>>> --->
    |        phi
    |      } 0
    |      u; h
    |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
    |    ---- dd<0,d<gdg0,ggdd<0,d<<42,5>,5>>>> --->
    |    psi; psi; e'; phi
    |    ---- dd<gdg0,ggdd<0,d<<42,5>,5>>> --->
    |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing} ]
    |      h; v
    |      gdg0 {
    |        psi
    |        ---- gdd<0,d<<42,5>,5>> --->
    |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]
    |          ---- gdd<0,d<<42,5>,5>> --->
    |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]
    |            h
    |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]:Answer
    |          ---- dgdd<0,d<<42,5>,5>> --->
    |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]:Answer
    |        ---- dgdd<0,d<<42,5>,5>> --->
    |        phi
    |      } gdg0
    |      u; h
    |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing} ]:Answer
    |    ---- dd<gdg0,gdgdd<0,d<<42,5>,5>>> --->
    |    psi; e; phi; phi
    |    ---- dd<0,d<gdg0,gdgdd<0,d<<42,5>,5>>>> --->
    |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
    |      h; v
    |      0 {
    |        psi
    |        ---- <gdg0,gdgdd<0,d<<42,5>,5>>> --->
    |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
    |          c'
    |          ---- <dg0,gdgdd<0,d<<42,5>,5>>> --->
    |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
    |            c'
    |            ---- <g0,gdgdd<0,d<<42,5>,5>>> --->
    |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
    |              c'
    |              ---- <0,gdgdd<0,d<<42,5>,5>>> --->
    |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- dd<0,gdgdd<0,d<<42,5>,5>>> --->
    |              psi; psi; e'; phi
    |              ---- dgdgdd<0,d<<42,5>,5>> --->
    |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- gdgdd<0,d<<42,5>,5>> --->
    |              psi; phi; phi
    |              ---- dgdgdd<0,d<<42,5>,5>> --->
    |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- gdgdd<0,d<<42,5>,5>> --->
    |              psi
    |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
    |            ---- dgdd<0,d<<42,5>,5>> --->
    |            psi; e; phi; phi
    |            ---- dd<0,gdd<0,d<<42,5>,5>>> --->
    |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
    |              h; v
    |              0 {
    |                psi
    |                ---- dd<0,d<<42,5>,5>> --->
    |                Query:[ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]
    |                  h; v
    |                  0 {
    |                    psi
    |                    ---- <<42,5>,5> --->
    |                    Answer r:[ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]
    |                      sum; h
    |                    [ (\f.(\l.\r.[l+r]) (f 0) (f 1)) (\x.3|_|5) @ * ]:Answer
    |                    ---- dd<42,10> --->
    |                    phi
    |                  } 0
    |                  u; h
    |                [ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]:Answer
    |                ---- dd<0,gdd<42,10>> --->
    |                phi
    |              } 0
    |              u; h
    |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
    |            ---- dd<0,gdd<0,gdd<42,10>>> --->
    |            psi; psi; e'; phi
    |            ---- dgdd<0,gdd<42,10>> --->
    |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
    |              phi
    |              ---- gdgdd<0,gdd<42,10>> --->
    |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- dgdgdd<0,gdd<42,10>> --->
    |              psi; psi; phi
    |              ---- gdgdd<0,gdd<42,10>> --->
    |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- dgdgdd<0,gdd<42,10>> --->
    |              psi; e; phi; phi
    |              ---- dd<0,gdgdd<0,gdd<42,10>>> --->
    |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
    |              ---- <0,gdgdd<0,gdd<42,10>>> --->
    |              c
    |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
    |            ---- <g0,gdgdd<0,gdd<42,10>>> --->
    |            c
    |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
    |          ---- <dg0,gdgdd<0,gdd<42,10>>> --->
    |          c
    |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
    |        ---- <gdg0,gdgdd<0,gdd<42,10>>> --->
    |        phi
    |      } 0
    |      u; h
    |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
    |    ---- dd<0,d<gdg0,gdgdd<0,gdd<42,10>>>> --->
    |    psi; psi; e'; phi
    |    ---- dd<gdg0,gdgdd<0,gdd<42,10>>> --->
    |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing} ]
    |      h; v
    |      gdg0 {
    |        psi
    |        ---- dgdd<0,gdd<42,10>> --->
    |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]
    |          ---- dgdd<0,gdd<42,10>> --->
    |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]
    |            h
    |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]:Answer
    |          ---- gdd<0,gdd<42,10>> --->
    |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]:Answer
    |        ---- gdd<0,gdd<42,10>> --->
    |        phi
    |      } gdg0
    |      u; h
    |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing} ]:Answer
    |    ---- dd<gdg0,ggdd<0,gdd<42,10>>> --->
    |    psi; e; phi; phi
    |    ---- dd<0,d<gdg0,ggdd<0,gdd<42,10>>>> --->
    |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
    |      h; v
    |      0 {
    |        psi
    |        ---- <gdg0,ggdd<0,gdd<42,10>>> --->
    |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
    |          c'
    |          ---- <dg0,ggdd<0,gdd<42,10>>> --->
    |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
    |            c'
    |            ---- <g0,ggdd<0,gdd<42,10>>> --->
    |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
    |              c'
    |              ---- <0,ggdd<0,gdd<42,10>>> --->
    |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- dd<0,ggdd<0,gdd<42,10>>> --->
    |              psi; psi; e'; phi
    |              ---- dggdd<0,gdd<42,10>> --->
    |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- ggdd<0,gdd<42,10>> --->
    |              psi; phi; phi
    |              ---- dggdd<0,gdd<42,10>> --->
    |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- ggdd<0,gdd<42,10>> --->
    |              psi
    |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
    |            ---- gdd<0,gdd<42,10>> --->
    |            psi; phi; phi
    |            ---- dgdd<0,gdd<42,10>> --->
    |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
    |              h
    |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
    |            ---- gdd<0,gdd<42,10>> --->
    |            psi
    |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Answer
    |          ---- dd<0,gdd<42,10>> --->
    |          psi; psi; e'; phi
    |          ---- dgdd<42,10> --->
    |          Query:[ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]
    |            phi
    |            ---- gdgdd<42,10> --->
    |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
    |              h
    |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
    |            ---- dgdgdd<42,10> --->
    |            psi; psi; phi
    |            ---- gdgdd<42,10> --->
    |            Query:[ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]
    |              h
    |            [ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]:Answer
    |            ---- dgdgdd<42,10> --->
    |            psi; e; phi; phi
    |            ---- dd<0,gdgdd<42,10>> --->
    |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
    |              h
    |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Query f
    |            ---- <0,gdgdd<42,10>> --->
    |            c
    |          [ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]:Query f
    |          ---- <g0,gdgdd<42,10>> --->
    |          c
    |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
    |        ---- <dg0,gdgdd<42,10>> --->
    |        phi
    |      } 0
    |      u; h
    |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
    |    ---- dd<0,d<dg0,gdgdd<42,10>>> --->
    |    psi; psi; e'; phi
    |    ---- dd<dg0,gdgdd<42,10>> --->
    |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing} ]
    |      h; v
    |      dg0 {
    |        psi
    |        ---- dgdd<42,10> --->
    |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]
    |          ---- dgdd<42,10> --->
    |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]
    |            h
    |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]:Answer
    |          ---- gdd<42,10> --->
    |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]:Answer
    |        ---- gdd<42,10> --->
    |        phi
    |      } dg0
    |      u; h
    |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing} ]:Answer
    |    ---- dd<dg0,ggdd<42,10>> --->
    |    psi; e; phi; phi
    |    ---- dd<0,d<dg0,ggdd<42,10>>> --->
    |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
    |      h; v
    |      0 {
    |        psi
    |        ---- <dg0,ggdd<42,10>> --->
    |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
    |          c'
    |          ---- <g0,ggdd<42,10>> --->
    |          Answer f:[ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]
    |            c'
    |            ---- <0,ggdd<42,10>> --->
    |            Answer f:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
    |              h
    |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
    |            ---- dd<0,ggdd<42,10>> --->
    |            psi; psi; e'; phi
    |            ---- dggdd<42,10> --->
    |            Query:[ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]
    |              h
    |            [ (\f.(\l.\r.l+r) (f 0) (f [1])) (\x.3|_|5) @ * ]:Answer
    |            ---- ggdd<42,10> --->
    |            psi; phi; phi
    |            ---- dggdd<42,10> --->
    |            Query:[ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]
    |              h
    |            [ (\f.(\l.\r.l+r) (f 0) ([f] 1)) (\x.3|_|5) @ * ]:Answer
    |            ---- ggdd<42,10> --->
    |            psi
    |          [ (\f.(\l.\r.l+r) (f 0) [f 1]) (\x.3|_|5) @ (*, *) ]:Answer
    |          ---- gdd<42,10> --->
    |          psi; phi; phi
    |          ---- dgdd<42,10> --->
    |          Query:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
    |            phi
    |            ---- gdgdd<42,10> --->
    |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
    |              h
    |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
    |            ---- dgdgdd<42,10> --->
    |            psi; psi; phi
    |            ---- gdgdd<42,10> --->
    |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
    |              phi
    |              ---- ggdgdd<42,10> --->
    |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- dggdgdd<42,10> --->
    |              psi; psi; phi
    |              ---- ggdgdd<42,10> --->
    |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- dggdgdd<42,10> --->
    |              psi; e; phi; phi
    |              ---- dd<0,ggdgdd<42,10>> --->
    |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
    |              ---- <0,ggdgdd<42,10>> --->
    |              c
    |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
    |            ---- <g0,ggdgdd<42,10>> --->
    |            c
    |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
    |          ---- <dg0,ggdgdd<42,10>> --->
    |          c
    |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
    |        ---- <gdg0,ggdgdd<42,10>> --->
    |        phi
    |      } 0
    |      u; h
    |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
    |    ---- dd<0,d<gdg0,ggdgdd<42,10>>> --->
    |    psi; psi; e'; phi
    |    ---- dd<gdg0,ggdgdd<42,10>> --->
    |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing} ]
    |      h; v
    |      gdg0 {
    |        psi
    |        ---- gdgdd<42,10> --->
    |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]
    |          ---- gdgdd<42,10> --->
    |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]
    |            h
    |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]:Answer
    |          ---- dgdgdd<42,10> --->
    |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]:Answer
    |        ---- dgdgdd<42,10> --->
    |        phi
    |      } gdg0
    |      u; h
    |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing} ]:Answer
    |    ---- dd<gdg0,gdgdgdd<42,10>> --->
    |    psi; e; phi; phi
    |    ---- dd<0,d<gdg0,gdgdgdd<42,10>>> --->
    |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
    |      h; v
    |      0 {
    |        psi
    |        ---- <gdg0,gdgdgdd<42,10>> --->
    |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
    |          c'
    |          ---- <dg0,gdgdgdd<42,10>> --->
    |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
    |            c'
    |            ---- <g0,gdgdgdd<42,10>> --->
    |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
    |              c'
    |              ---- <0,gdgdgdd<42,10>> --->
    |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- dd<0,gdgdgdd<42,10>> --->
    |              psi; psi; e'; phi
    |              ---- dgdgdgdd<42,10> --->
    |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- gdgdgdd<42,10> --->
    |              psi; phi; phi
    |              ---- dgdgdgdd<42,10> --->
    |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- gdgdgdd<42,10> --->
    |              psi
    |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
    |            ---- dgdgdd<42,10> --->
    |            psi; e; phi; phi
    |            ---- dd<0,gdgdd<42,10>> --->
    |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
    |              h; v
    |              0 {
    |                psi
    |                ---- dgdd<42,10> --->
    |                Query:[ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]
    |                  h
    |                [ (\f.(\l.[\r.l+r]) (f 0) (f 1)) (\x.3|_|5) @ {_: *} ]:Answer
    |                ---- gdd<42,10> --->
    |                phi
    |              } 0
    |              u; h
    |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
    |            ---- dd<0,ggdd<42,10>> --->
    |            psi; psi; e'; phi
    |            ---- dggdd<42,10> --->
    |            Query:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
    |              phi
    |              ---- gdggdd<42,10> --->
    |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- dgdggdd<42,10> --->
    |              psi; psi; phi
    |              ---- gdggdd<42,10> --->
    |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- dgdggdd<42,10> --->
    |              psi; e; phi; phi
    |              ---- dd<0,gdggdd<42,10>> --->
    |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Query f
    |              ---- <0,gdggdd<42,10>> --->
    |              c
    |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Query f
    |            ---- <g0,gdggdd<42,10>> --->
    |            c
    |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Query f
    |          ---- <dg0,gdggdd<42,10>> --->
    |          c
    |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Query f
    |        ---- <gdg0,gdggdd<42,10>> --->
    |        phi
    |      } 0
    |      u; h
    |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
    |    ---- dd<0,d<gdg0,gdggdd<42,10>>> --->
    |    psi; psi; e'; phi
    |    ---- dd<gdg0,gdggdd<42,10>> --->
    |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing} ]
    |      h; v
    |      gdg0 {
    |        psi
    |        ---- dggdd<42,10> --->
    |        Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]
    |          ---- dggdd<42,10> --->
    |          Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]
    |            h
    |          [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|[5]) @ * ]:Answer
    |          ---- ggdd<42,10> --->
    |        [ (\f.(\l.\r.l+r) (f 0) (f 1)) (\x.[3|_|5]) @ Just (Right (*)) ]:Answer
    |        ---- ggdd<42,10> --->
    |        phi
    |      } gdg0
    |      u; h
    |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing} ]:Answer
    |    ---- dd<gdg0,gggdd<42,10>> --->
    |    psi; e; phi; phi
    |    ---- dd<0,d<gdg0,gggdd<42,10>>> --->
    |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
    |      h; v
    |      0 {
    |        psi
    |        ---- <gdg0,gggdd<42,10>> --->
    |        Answer f:[ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]
    |          c'
    |          ---- <dg0,gggdd<42,10>> --->
    |          Answer f:[ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]
    |            c'
    |            ---- <g0,gggdd<42,10>> --->
    |            Answer f:[ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]
    |              c'
    |              ---- <0,gggdd<42,10>> --->
    |              Answer f:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- dd<0,gggdd<42,10>> --->
    |              psi; psi; e'; phi
    |              ---- dgggdd<42,10> --->
    |              Query:[ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) (f [0]) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- gggdd<42,10> --->
    |              psi; phi; phi
    |              ---- dgggdd<42,10> --->
    |              Query:[ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]
    |                h
    |              [ (\f.(\l.\r.l+r) ([f] 0) (f 1)) (\x.3|_|5) @ * ]:Answer
    |              ---- gggdd<42,10> --->
    |              psi
    |            [ (\f.(\l.\r.l+r) [f 0] (f 1)) (\x.3|_|5) @ (*, *) ]:Answer
    |            ---- ggdd<42,10> --->
    |            psi; phi; phi
    |            ---- dggdd<42,10> --->
    |            Query:[ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]
    |              h
    |            [ (\f.[\l.\r.l+r] (f 0) (f 1)) (\x.3|_|5) @ {_: {_: *}} ]:Answer
    |            ---- ggdd<42,10> --->
    |            psi
    |          [ (\f.[(\l.\r.l+r) (f 0)] (f 1)) (\x.3|_|5) @ ({_: {_: *}}, (*, *)) ]:Answer
    |          ---- gdd<42,10> --->
    |          psi
    |        [ (\f.[(\l.\r.l+r) (f 0) (f 1)]) (\x.3|_|5) @ (({_: {_: *}}, (*, *)), (*, *)) ]:Answer
    |        ---- dd<42,10> --->
    |        phi
    |      } 0
    |      u; h
    |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
    |    ---- dd<0,gdd<42,10>> --->
    |    psi; psi; e'; phi
    |    ---- dgdd<42,10> --->
    |    Query:[ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing} ]
    |      h
    |    [ (\f.(\l.\r.l+r) (f 0) (f 1)) [\x.3|_|5] @ {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing} ]:Answer
    |    ---- gdd<42,10> --->
    |    psi; phi; phi
    |    ---- dgdd<42,10> --->
    |    Query:[ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]
    |      h
    |    [ [\f.(\l.\r.l+r) (f 0) (f 1)] (\x.3|_|5) @ {_: (({_: {_: *}}, (*, *)), (*, *))} ]:Answer
    |    ---- gdd<42,10> --->
    |    psi
    |  [ [(\f.(\l.\r.l+r) (f 0) (f 1)) (\x.3|_|5)] @ ({_: (({_: {_: *}}, (*, *)), (*, *))}, {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing}) ]:Answer
    |  ---- dd<42,10> --->
    Result: 10 / State: ({_: (({_: {_: *}}, (*, *)), (*, *))}, {gdg0: Just (Right (*)), dg0: Just (Right (*)), _: Nothing})
####################################################################################################
parsed: Asg "a" 2 (Apply (Abst "x" (Apply (Apply (Abst "l" (Abst "r" (Sum "l" "r"))) (Variable "x")) (Asg "a" 3 (Variable "x")))) (Drf "a"))
====================================================================================================
---- dd<42,137> --->
Query:[ [(a:=2);(\x.(\l.\r.l+r) x ((a:=3);x)) (!a)] @ Nothing ]
  *** algebraic operation *** : update(a,2)
  ---- dd<42,137> --->
  Query:[ (a:=2);[(\x.(\l.\r.l+r) x ((a:=3);x)) (!a)] @ ({_: (({_: {_: *}}, *), Nothing)}, Nothing) ]
    phi
    ---- gdd<42,137> --->
    Query:[ (a:=2);[\x.(\l.\r.l+r) x ((a:=3);x)] (!a) @ {_: (({_: {_: *}}, *), Nothing)} ]
      h
    [ (a:=2);[\x.(\l.\r.l+r) x ((a:=3);x)] (!a) @ {_: (({_: {_: *}}, *), Nothing)} ]:Answer
    ---- dgdd<42,137> --->
    psi; psi; phi
    ---- gdd<42,137> --->
    Query:[ (a:=2);(\x.(\l.\r.l+r) x ((a:=3);x)) [!a] @ Nothing ]
      *** algebraic operation *** : lookup(a)
      h
    [ (a:=2);(\x.(\l.\r.l+r) x ((a:=3);x)) [!a] @ Just (2, *) ]:Answer
    ---- dgdd<42,137> --->
    psi; e; phi; phi
    ---- dd<0,gdd<42,137>> --->
    Query:[ (a:=2);[\x.(\l.\r.l+r) x ((a:=3);x)] (!a) @ {_: (({_: {_: *}}, *), Nothing)} ]
      h; v
      0 {
        psi
        ---- dd<42,137> --->
        Query:[ (a:=2);(\x.[(\l.\r.l+r) x ((a:=3);x)]) (!a) @ (({_: {_: *}}, *), Nothing) ]
          phi
          ---- gdd<42,137> --->
          Query:[ (a:=2);(\x.[(\l.\r.l+r) x] ((a:=3);x)) (!a) @ ({_: {_: *}}, *) ]
            phi
            ---- ggdd<42,137> --->
            Query:[ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]
              h
            [ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]:Answer
            ---- dggdd<42,137> --->
            psi; psi; phi
            ---- ggdd<42,137> --->
            Query:[ (a:=2);(\x.(\l.\r.l+r) [x] ((a:=3);x)) (!a) @ * ]
              h
            [ (a:=2);(\x.(\l.\r.l+r) [x] ((a:=3);x)) (!a) @ * ]:Answer
            ---- dggdd<42,137> --->
            psi; e; phi; phi
            ---- dd<0,ggdd<42,137>> --->
            Query:[ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]
              h; v
              0 {
                psi
                ---- gdd<42,137> --->
                Query:[ (a:=2);(\x.(\l.[\r.l+r]) x ((a:=3);x)) (!a) @ {_: *} ]
                  h
                [ (a:=2);(\x.(\l.[\r.l+r]) x ((a:=3);x)) (!a) @ {_: *} ]:Answer
                ---- dgdd<42,137> --->
                phi
              } 0
              u; h
            [ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]:Answer
            ---- dd<0,gdgdd<42,137>> --->
            psi; psi; e'; phi
            ---- dgdgdd<42,137> --->
            Query:[ (a:=2);(\x.(\l.\r.l+r) [x] ((a:=3);x)) (!a) @ * ]
              h
            [ (a:=2);(\x.(\l.\r.l+r) [x] ((a:=3);x)) (!a) @ * ]:Answer
            ---- gdgdd<42,137> --->
            psi; phi; phi
            ---- dgdgdd<42,137> --->
            Query:[ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]
              h
            [ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]:Answer
            ---- gdgdd<42,137> --->
            psi
          [ (a:=2);(\x.[(\l.\r.l+r) x] ((a:=3);x)) (!a) @ ({_: {_: *}}, *) ]:Answer
          ---- dgdd<42,137> --->
          psi; psi; phi
          ---- gdd<42,137> --->
          Query:[ (a:=2);(\x.(\l.\r.l+r) x [(a:=3);x]) (!a) @ Nothing ]
            *** algebraic operation *** : update(a,3)
            ---- gdd<42,137> --->
            Query:[ (a:=2);(\x.(\l.\r.l+r) x ((a:=3);[x])) (!a) @ * ]
              h
            [ (a:=2);(\x.(\l.\r.l+r) x ((a:=3);[x])) (!a) @ * ]:Answer
            ---- dgdd<42,137> --->
          [ (a:=2);(\x.(\l.\r.l+r) x [(a:=3);x]) (!a) @ Just (*, *) ]:Answer
          ---- dgdd<42,137> --->
          psi; e; phi; phi
          ---- dd<0,gdd<42,137>> --->
          Query:[ (a:=2);(\x.[(\l.\r.l+r) x] ((a:=3);x)) (!a) @ ({_: {_: *}}, *) ]
            phi
            ---- gdd<0,gdd<42,137>> --->
            Query:[ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]
              h
            [ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]:Answer
            ---- dgdd<0,gdd<42,137>> --->
            psi; psi; phi
            ---- gdd<0,gdd<42,137>> --->
            Query:[ (a:=2);(\x.(\l.\r.l+r) [x] ((a:=3);x)) (!a) @ * ]
              h
            [ (a:=2);(\x.(\l.\r.l+r) [x] ((a:=3);x)) (!a) @ * ]:Answer
            ---- dgdd<0,gdd<42,137>> --->
            psi; e; phi; phi
            ---- dd<0,gdd<0,gdd<42,137>>> --->
            Query:[ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]
              h; v
              0 {
                psi
                ---- dd<0,gdd<42,137>> --->
                Query:[ (a:=2);(\x.(\l.[\r.l+r]) x ((a:=3);x)) (!a) @ {_: *} ]
                  h; v
                  0 {
                    psi
                    ---- dd<42,137> --->
                    Query:[ (a:=2);(\x.(\l.\r.[l+r]) x ((a:=3);x)) (!a) @ * ]
                      h; sum
                    [ (a:=2);(\x.(\l.\r.[l+r]) x ((a:=3);x)) (!a) @ * ]:Query l
                    ---- <42,137> --->
                  } 0
                  u; d
                [ (a:=2);(\x.(\l.[\r.l+r]) x ((a:=3);x)) (!a) @ {_: *} ]:Query l
                ---- <<0,42>,137> --->
                phi
              } 0
              u; h
            [ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]:Answer
            ---- dd<0,d<<0,42>,137>> --->
            psi; psi; e'; phi
            ---- dd<<0,42>,137> --->
            Query:[ (a:=2);(\x.(\l.\r.l+r) [x] ((a:=3);x)) (!a) @ * ]
              h
            [ (a:=2);(\x.(\l.\r.l+r) [x] ((a:=3);x)) (!a) @ * ]:Query x
            ---- <<0,42>,137> --->
            c
          [ (a:=2);(\x.[(\l.\r.l+r) x] ((a:=3);x)) (!a) @ ({_: {_: *}}, *) ]:Query x
          ---- <d<0,42>,137> --->
          c
        [ (a:=2);(\x.[(\l.\r.l+r) x ((a:=3);x)]) (!a) @ (({_: {_: *}}, *), Just (*, *)) ]:Query x
        ---- <gd<0,42>,137> --->
        phi
      } 0
      u; h
    [ (a:=2);[\x.(\l.\r.l+r) x ((a:=3);x)] (!a) @ {0: (({_: {_: *}}, *), Just (*, *)), _: (({_: {_: *}}, *), Nothing)} ]:Answer
    ---- dd<0,d<gd<0,42>,137>> --->
    psi; psi; e'; phi
    ---- dd<gd<0,42>,137> --->
    Query:[ (a:=2);(\x.(\l.\r.l+r) x ((a:=3);x)) [!a] @ Just (2, *) ]
      h; k_2; h
    [ (a:=2);(\x.(\l.\r.l+r) x ((a:=3);x)) [!a] @ Just (2, *) ]:Answer
    ---- dd<gd<0,42>,2> --->
    psi; e; phi; phi
    ---- dd<0,d<gd<0,42>,2>> --->
    Query:[ (a:=2);[\x.(\l.\r.l+r) x ((a:=3);x)] (!a) @ {0: (({_: {_: *}}, *), Just (*, *)), _: (({_: {_: *}}, *), Nothing)} ]
      h; v
      0 {
        psi
        ---- <gd<0,42>,2> --->
        Answer x:[ (a:=2);(\x.[(\l.\r.l+r) x ((a:=3);x)]) (!a) @ (({_: {_: *}}, *), Just (*, *)) ]
          c'
          ---- <d<0,42>,2> --->
          Answer x:[ (a:=2);(\x.[(\l.\r.l+r) x] ((a:=3);x)) (!a) @ ({_: {_: *}}, *) ]
            c'
            ---- <<0,42>,2> --->
            Answer x:[ (a:=2);(\x.(\l.\r.l+r) [x] ((a:=3);x)) (!a) @ * ]
              h
            [ (a:=2);(\x.(\l.\r.l+r) [x] ((a:=3);x)) (!a) @ * ]:Answer
            ---- dd<<0,42>,2> --->
            psi; e; phi; phi
            ---- dd<0,d<<0,42>,2>> --->
            Query:[ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]
              h; v
              0 {
                psi
                ---- <<0,42>,2> --->
                Answer l:[ (a:=2);(\x.(\l.[\r.l+r]) x ((a:=3);x)) (!a) @ {_: *} ]
                  d'; v
                  0 {
                    ---- <42,2> --->
                    Answer l:[ (a:=2);(\x.(\l.\r.[l+r]) x ((a:=3);x)) (!a) @ * ]
                      sum
                    [ (a:=2);(\x.(\l.\r.[l+r]) x ((a:=3);x)) (!a) @ * ]:Query r
                    ---- <<42,2>,0> --->
                    phi
                  } 0
                  u; h
                [ (a:=2);(\x.(\l.[\r.l+r]) x ((a:=3);x)) (!a) @ {_: *} ]:Answer
                ---- dd<0,d<<42,2>,0>> --->
                phi
              } 0
              u; h
            [ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]:Answer
            ---- dd<0,gdd<0,d<<42,2>,0>>> --->
            psi; psi; e'; phi
            ---- dgdd<0,d<<42,2>,0>> --->
            Query:[ (a:=2);(\x.(\l.\r.l+r) [x] ((a:=3);x)) (!a) @ * ]
              h
            [ (a:=2);(\x.(\l.\r.l+r) [x] ((a:=3);x)) (!a) @ * ]:Answer
            ---- gdd<0,d<<42,2>,0>> --->
            psi; phi; phi
            ---- dgdd<0,d<<42,2>,0>> --->
            Query:[ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]
              h
            [ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]:Answer
            ---- gdd<0,d<<42,2>,0>> --->
            psi
          [ (a:=2);(\x.[(\l.\r.l+r) x] ((a:=3);x)) (!a) @ ({_: {_: *}}, *) ]:Answer
          ---- dd<0,d<<42,2>,0>> --->
          psi; psi; e'; phi
          ---- dd<<42,2>,0> --->
          Query:[ (a:=2);(\x.(\l.\r.l+r) x [(a:=3);x]) (!a) @ Just (*, *) ]
            ---- dd<<42,2>,0> --->
            Query:[ (a:=2);(\x.(\l.\r.l+r) x ((a:=3);[x])) (!a) @ * ]
              h
            [ (a:=2);(\x.(\l.\r.l+r) x ((a:=3);[x])) (!a) @ * ]:Query x
            ---- <<42,2>,0> --->
          [ (a:=2);(\x.(\l.\r.l+r) x [(a:=3);x]) (!a) @ Just (*, *) ]:Query x
          ---- <<42,2>,0> --->
          c
        [ (a:=2);(\x.[(\l.\r.l+r) x ((a:=3);x)]) (!a) @ (({_: {_: *}}, *), Just (*, *)) ]:Query x
        ---- <d<42,2>,0> --->
        phi
      } 0
      u; h
    [ (a:=2);[\x.(\l.\r.l+r) x ((a:=3);x)] (!a) @ {0: (({_: {_: *}}, *), Just (*, *)), _: (({_: {_: *}}, *), Nothing)} ]:Answer
    ---- dd<0,d<d<42,2>,0>> --->
    psi; psi; e'; phi
    ---- dd<d<42,2>,0> --->
    Query:[ (a:=2);(\x.(\l.\r.l+r) x ((a:=3);x)) [!a] @ Just (2, *) ]
      h; k_2; h
    [ (a:=2);(\x.(\l.\r.l+r) x ((a:=3);x)) [!a] @ Just (2, *) ]:Answer
    ---- dd<d<42,2>,2> --->
    psi; e; phi; phi
    ---- dd<0,d<d<42,2>,2>> --->
    Query:[ (a:=2);[\x.(\l.\r.l+r) x ((a:=3);x)] (!a) @ {0: (({_: {_: *}}, *), Just (*, *)), _: (({_: {_: *}}, *), Nothing)} ]
      h; v
      0 {
        psi
        ---- <d<42,2>,2> --->
        Answer x:[ (a:=2);(\x.[(\l.\r.l+r) x ((a:=3);x)]) (!a) @ (({_: {_: *}}, *), Just (*, *)) ]
          c'
          ---- <<42,2>,2> --->
          Answer x:[ (a:=2);(\x.(\l.\r.l+r) x [(a:=3);x]) (!a) @ Just (*, *) ]
            ---- <<42,2>,2> --->
            Answer x:[ (a:=2);(\x.(\l.\r.l+r) x ((a:=3);[x])) (!a) @ * ]
              h
            [ (a:=2);(\x.(\l.\r.l+r) x ((a:=3);[x])) (!a) @ * ]:Answer
            ---- dd<<42,2>,2> --->
          [ (a:=2);(\x.(\l.\r.l+r) x [(a:=3);x]) (!a) @ Just (*, *) ]:Answer
          ---- dd<<42,2>,2> --->
          psi; e; phi; phi
          ---- dd<0,d<<42,2>,2>> --->
          Query:[ (a:=2);(\x.[(\l.\r.l+r) x] ((a:=3);x)) (!a) @ ({_: {_: *}}, *) ]
            phi
            ---- gdd<0,d<<42,2>,2>> --->
            Query:[ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]
              h
            [ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]:Answer
            ---- dgdd<0,d<<42,2>,2>> --->
            psi; psi; phi
            ---- gdd<0,d<<42,2>,2>> --->
            Query:[ (a:=2);(\x.(\l.\r.l+r) [x] ((a:=3);x)) (!a) @ * ]
              h
            [ (a:=2);(\x.(\l.\r.l+r) [x] ((a:=3);x)) (!a) @ * ]:Answer
            ---- dgdd<0,d<<42,2>,2>> --->
            psi; e; phi; phi
            ---- dd<0,gdd<0,d<<42,2>,2>>> --->
            Query:[ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]
              h; v
              0 {
                psi
                ---- dd<0,d<<42,2>,2>> --->
                Query:[ (a:=2);(\x.(\l.[\r.l+r]) x ((a:=3);x)) (!a) @ {_: *} ]
                  h; v
                  0 {
                    psi
                    ---- <<42,2>,2> --->
                    Answer r:[ (a:=2);(\x.(\l.\r.[l+r]) x ((a:=3);x)) (!a) @ * ]
                      sum; h
                    [ (a:=2);(\x.(\l.\r.[l+r]) x ((a:=3);x)) (!a) @ * ]:Answer
                    ---- dd<42,4> --->
                    phi
                  } 0
                  u; h
                [ (a:=2);(\x.(\l.[\r.l+r]) x ((a:=3);x)) (!a) @ {_: *} ]:Answer
                ---- dd<0,gdd<42,4>> --->
                phi
              } 0
              u; h
            [ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]:Answer
            ---- dd<0,gdd<0,gdd<42,4>>> --->
            psi; psi; e'; phi
            ---- dgdd<0,gdd<42,4>> --->
            Query:[ (a:=2);(\x.(\l.\r.l+r) [x] ((a:=3);x)) (!a) @ * ]
              h
            [ (a:=2);(\x.(\l.\r.l+r) [x] ((a:=3);x)) (!a) @ * ]:Answer
            ---- gdd<0,gdd<42,4>> --->
            psi; phi; phi
            ---- dgdd<0,gdd<42,4>> --->
            Query:[ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]
              h
            [ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]:Answer
            ---- gdd<0,gdd<42,4>> --->
            psi
          [ (a:=2);(\x.[(\l.\r.l+r) x] ((a:=3);x)) (!a) @ ({_: {_: *}}, *) ]:Answer
          ---- dd<0,gdd<42,4>> --->
          psi; psi; e'; phi
          ---- dgdd<42,4> --->
          Query:[ (a:=2);(\x.(\l.\r.l+r) x [(a:=3);x]) (!a) @ Just (*, *) ]
            ---- dgdd<42,4> --->
            Query:[ (a:=2);(\x.(\l.\r.l+r) x ((a:=3);[x])) (!a) @ * ]
              h
            [ (a:=2);(\x.(\l.\r.l+r) x ((a:=3);[x])) (!a) @ * ]:Answer
            ---- gdd<42,4> --->
          [ (a:=2);(\x.(\l.\r.l+r) x [(a:=3);x]) (!a) @ Just (*, *) ]:Answer
          ---- gdd<42,4> --->
          psi; phi; phi
          ---- dgdd<42,4> --->
          Query:[ (a:=2);(\x.[(\l.\r.l+r) x] ((a:=3);x)) (!a) @ ({_: {_: *}}, *) ]
            phi
            ---- gdgdd<42,4> --->
            Query:[ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]
              h
            [ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]:Answer
            ---- dgdgdd<42,4> --->
            psi; psi; phi
            ---- gdgdd<42,4> --->
            Query:[ (a:=2);(\x.(\l.\r.l+r) [x] ((a:=3);x)) (!a) @ * ]
              h
            [ (a:=2);(\x.(\l.\r.l+r) [x] ((a:=3);x)) (!a) @ * ]:Answer
            ---- dgdgdd<42,4> --->
            psi; e; phi; phi
            ---- dd<0,gdgdd<42,4>> --->
            Query:[ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]
              h; v
              0 {
                psi
                ---- dgdd<42,4> --->
                Query:[ (a:=2);(\x.(\l.[\r.l+r]) x ((a:=3);x)) (!a) @ {_: *} ]
                  h
                [ (a:=2);(\x.(\l.[\r.l+r]) x ((a:=3);x)) (!a) @ {_: *} ]:Answer
                ---- gdd<42,4> --->
                phi
              } 0
              u; h
            [ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]:Answer
            ---- dd<0,ggdd<42,4>> --->
            psi; psi; e'; phi
            ---- dggdd<42,4> --->
            Query:[ (a:=2);(\x.(\l.\r.l+r) [x] ((a:=3);x)) (!a) @ * ]
              h
            [ (a:=2);(\x.(\l.\r.l+r) [x] ((a:=3);x)) (!a) @ * ]:Answer
            ---- ggdd<42,4> --->
            psi; phi; phi
            ---- dggdd<42,4> --->
            Query:[ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]
              h
            [ (a:=2);(\x.[\l.\r.l+r] x ((a:=3);x)) (!a) @ {_: {_: *}} ]:Answer
            ---- ggdd<42,4> --->
            psi
          [ (a:=2);(\x.[(\l.\r.l+r) x] ((a:=3);x)) (!a) @ ({_: {_: *}}, *) ]:Answer
          ---- gdd<42,4> --->
          psi
        [ (a:=2);(\x.[(\l.\r.l+r) x ((a:=3);x)]) (!a) @ (({_: {_: *}}, *), Just (*, *)) ]:Answer
        ---- dd<42,4> --->
        phi
      } 0
      u; h
    [ (a:=2);[\x.(\l.\r.l+r) x ((a:=3);x)] (!a) @ {0: (({_: {_: *}}, *), Just (*, *)), _: (({_: {_: *}}, *), Nothing)} ]:Answer
    ---- dd<0,gdd<42,4>> --->
    psi; psi; e'; phi
    ---- dgdd<42,4> --->
    Query:[ (a:=2);(\x.(\l.\r.l+r) x ((a:=3);x)) [!a] @ Just (2, *) ]
      h
    [ (a:=2);(\x.(\l.\r.l+r) x ((a:=3);x)) [!a] @ Just (2, *) ]:Answer
    ---- gdd<42,4> --->
    psi; phi; phi
    ---- dgdd<42,4> --->
    Query:[ (a:=2);[\x.(\l.\r.l+r) x ((a:=3);x)] (!a) @ {0: (({_: {_: *}}, *), Just (*, *)), _: (({_: {_: *}}, *), Nothing)} ]
      h
    [ (a:=2);[\x.(\l.\r.l+r) x ((a:=3);x)] (!a) @ {0: (({_: {_: *}}, *), Just (*, *)), _: (({_: {_: *}}, *), Nothing)} ]:Answer
    ---- gdd<42,4> --->
    psi
  [ (a:=2);[(\x.(\l.\r.l+r) x ((a:=3);x)) (!a)] @ ({0: (({_: {_: *}}, *), Just (*, *)), _: (({_: {_: *}}, *), Nothing)}, Just (2, *)) ]:Answer
  ---- dd<42,4> --->
[ [(a:=2);(\x.(\l.\r.l+r) x ((a:=3);x)) (!a)] @ Just (*, ({0: (({_: {_: *}}, *), Just (*, *)), _: (({_: {_: *}}, *), Nothing)}, Just (2, *))) ]:Answer
---- dd<42,4> --->
fromList [(Location "a",3)]
Result: 4 / State: Just (*, ({0: (({_: {_: *}}, *), Just (*, *)), _: (({_: {_: *}}, *), Nothing)}, Just (2, *)))