TSTP Solution File: COM128+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COM128+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Fri Jul 15 00:51:31 EDT 2022
% Result : Theorem 6.87s 7.25s
% Output : Refutation 6.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM128+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Thu Jun 16 17:32:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.76/1.15 *** allocated 10000 integers for termspace/termends
% 0.76/1.15 *** allocated 10000 integers for clauses
% 0.76/1.15 *** allocated 10000 integers for justifications
% 0.76/1.15 Bliksem 1.12
% 0.76/1.15
% 0.76/1.15
% 0.76/1.15 Automatic Strategy Selection
% 0.76/1.15
% 0.76/1.15 *** allocated 15000 integers for termspace/termends
% 0.76/1.15
% 0.76/1.15 Clauses:
% 0.76/1.15
% 0.76/1.15 { ! vvar( X ) = vvar( Y ), X = Y }.
% 0.76/1.15 { ! X = Y, vvar( X ) = vvar( Y ) }.
% 0.76/1.15 { ! vabs( X, Y, Z ) = vabs( T, U, W ), X = T }.
% 0.76/1.15 { ! vabs( X, Y, Z ) = vabs( T, U, W ), Y = U }.
% 0.76/1.15 { ! vabs( X, Y, Z ) = vabs( T, U, W ), Z = W }.
% 0.76/1.15 { ! X = T, ! Y = U, ! Z = W, vabs( X, Y, Z ) = vabs( T, U, W ) }.
% 0.76/1.15 { ! vapp( X, Y ) = vapp( Z, T ), X = Z }.
% 0.76/1.15 { ! vapp( X, Y ) = vapp( Z, T ), Y = T }.
% 0.76/1.15 { ! X = Z, ! Y = T, vapp( X, Y ) = vapp( Z, T ) }.
% 0.76/1.15 { ! vvar( X ) = vabs( Y, Z, T ) }.
% 0.76/1.15 { ! vvar( X ) = vapp( Y, Z ) }.
% 0.76/1.15 { ! vabs( X, Y, Z ) = vapp( T, U ) }.
% 0.76/1.15 { ! X = vabs( Y, Z, T ), visValue( X ) }.
% 0.76/1.15 { ! X = vvar( Y ), ! visValue( X ) }.
% 0.76/1.15 { ! X = vapp( Y, Z ), ! visValue( X ) }.
% 0.76/1.15 { ! X = T, ! Y = vvar( Z ), ! Z = T, visFreeVar( X, Y ) }.
% 0.76/1.15 { ! X = T, ! Y = vvar( Z ), ! visFreeVar( X, Y ), Z = T }.
% 0.76/1.15 { ! X = T, ! Y = vabs( Z, W, U ), Z = T, ! visFreeVar( T, U ), visFreeVar(
% 0.76/1.15 X, Y ) }.
% 0.76/1.15 { ! X = T, ! Y = vabs( Z, W, U ), ! visFreeVar( X, Y ), ! Z = T }.
% 0.76/1.15 { ! X = T, ! Y = vabs( Z, W, U ), ! visFreeVar( X, Y ), visFreeVar( T, U )
% 0.76/1.15 }.
% 0.76/1.15 { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( T, Z ), visFreeVar( X, Y ) }.
% 0.76/1.15 { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( T, U ), visFreeVar( X, Y ) }.
% 0.76/1.15 { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( X, Y ), visFreeVar( T, Z ),
% 0.76/1.15 visFreeVar( T, U ) }.
% 0.76/1.15 { ! &&, vempty = vempty }.
% 0.76/1.15 { ! vbind( X, Y, Z ) = vbind( T, U, W ), X = T }.
% 0.76/1.15 { ! vbind( X, Y, Z ) = vbind( T, U, W ), Y = U }.
% 0.76/1.15 { ! vbind( X, Y, Z ) = vbind( T, U, W ), Z = W }.
% 0.76/1.15 { ! X = T, ! Y = U, ! Z = W, vbind( X, Y, Z ) = vbind( T, U, W ) }.
% 0.76/1.15 { ! &&, vnoType = vnoType }.
% 0.76/1.15 { ! vsomeType( X ) = vsomeType( Y ), X = Y }.
% 0.76/1.15 { ! X = Y, vsomeType( X ) = vsomeType( Y ) }.
% 0.76/1.15 { ! vempty = vbind( X, Y, Z ) }.
% 0.76/1.15 { ! vnoType = vsomeType( X ) }.
% 0.76/1.15 { ! X = vnoType, ! visSomeType( X ) }.
% 0.76/1.15 { ! X = vsomeType( Y ), visSomeType( X ) }.
% 0.76/1.15 { ! X = vsomeType( Y ), ! Z = vgetSomeType( X ), Z = Y }.
% 0.76/1.15 { ! X = Z, ! Y = vempty, ! T = vlookup( X, Y ), T = vnoType }.
% 0.76/1.15 { ! Z = X, ! T = vbind( Y, U, W ), ! X = Y, ! V0 = vlookup( Z, T ), V0 =
% 0.76/1.15 vsomeType( U ) }.
% 0.76/1.15 { ! Y = T, ! Z = vbind( X, W, U ), T = X, ! V0 = vlookup( Y, Z ), V0 =
% 0.76/1.15 vlookup( T, U ) }.
% 0.76/1.15 { alpha5( X, Y, Z ), X = skol1( X, T, U ) }.
% 0.76/1.15 { alpha5( X, Y, Z ), alpha10( Y, Z, skol1( X, Y, Z ) ) }.
% 0.76/1.15 { ! alpha10( X, Y, Z ), Y = vlookup( Z, skol39( T, Y, Z ) ) }.
% 0.76/1.15 { ! alpha10( X, Y, Z ), ! Z = skol2( X, Y, Z ) }.
% 0.76/1.15 { ! alpha10( X, Y, Z ), X = vbind( skol2( X, Y, Z ), skol58( X, Y, Z ),
% 0.76/1.15 skol39( X, Y, Z ) ) }.
% 0.76/1.15 { ! X = vbind( T, W, U ), Z = T, ! Y = vlookup( Z, U ), alpha10( X, Y, Z )
% 0.76/1.15 }.
% 0.76/1.15 { ! alpha5( X, Y, Z ), alpha11( X, Y, Z ), alpha17( X, Y, Z ) }.
% 0.76/1.15 { ! alpha11( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.76/1.15 { ! alpha17( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.76/1.15 { ! alpha17( X, Y, Z ), X = skol3( X, T, U ) }.
% 0.76/1.15 { ! alpha17( X, Y, Z ), alpha22( Y, Z, skol3( X, Y, Z ) ) }.
% 0.76/1.15 { ! X = T, ! alpha22( Y, Z, T ), alpha17( X, Y, Z ) }.
% 0.76/1.15 { ! alpha22( X, Y, Z ), Y = vsomeType( skol40( T, Y, U ) ) }.
% 0.76/1.15 { ! alpha22( X, Y, Z ), Z = skol4( X, Y, Z ) }.
% 0.76/1.15 { ! alpha22( X, Y, Z ), X = vbind( skol4( X, Y, Z ), skol40( X, Y, Z ),
% 0.76/1.15 skol59( X, Y, Z ) ) }.
% 0.76/1.15 { ! X = vbind( T, U, W ), ! Z = T, ! Y = vsomeType( U ), alpha22( X, Y, Z )
% 0.76/1.15 }.
% 0.76/1.15 { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z, alpha1( X, Y ) }.
% 0.76/1.15 { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z, Z = vnoType }.
% 0.76/1.15 { vlookup( X, Y ) = Z, alpha11( X, Y, Z ) }.
% 0.76/1.15 { ! alpha1( X, Y ), ! Z = vnoType, alpha11( X, Y, Z ) }.
% 0.76/1.15 { ! alpha1( X, Y ), X = skol5( X ) }.
% 0.76/1.15 { ! alpha1( X, Y ), Y = vempty }.
% 0.76/1.15 { ! X = Z, ! Y = vempty, alpha1( X, Y ) }.
% 0.76/1.15 { ! X = W, ! vtcheck( vbind( X, Y, vbind( W, V0, Z ) ), T, U ), vtcheck(
% 0.76/1.15 vbind( X, Y, Z ), T, U ) }.
% 0.76/1.15 { Z = X, ! vtcheck( vbind( Z, T, vbind( X, Y, U ) ), W, V0 ), vtcheck(
% 0.76/1.15 vbind( X, Y, vbind( Z, T, U ) ), W, V0 ) }.
% 0.76/1.15 { ! vgensym( Y ) = X, ! visFreeVar( X, Y ) }.
% 0.76/1.15 { ! Z = X, ! T = W, ! U = vvar( Y ), ! X = Y, ! V0 = vsubst( Z, T, U ), V0
% 0.76/1.15 = W }.
% 0.76/1.15 { ! Y = X, ! Z = W, ! T = vvar( U ), X = U, ! V0 = vsubst( Y, Z, T ), V0 =
% 0.76/1.15 vvar( U ) }.
% 0.76/1.15 { ! X = U, ! Y = W, ! Z = vapp( T, V0 ), ! V1 = vsubst( X, Y, Z ), V1 =
% 0.76/1.15 vapp( vsubst( U, W, T ), vsubst( U, W, V0 ) ) }.
% 0.76/1.15 { ! Y = X, ! Z = V1, ! T = vabs( U, W, V0 ), ! X = U, ! V2 = vsubst( Y, Z,
% 0.76/1.15 T ), V2 = vabs( U, W, V0 ) }.
% 0.76/1.15 { ! X = T, ! Y = U, ! Z = vabs( V0, W, V1 ), T = V0, ! visFreeVar( V0, U )
% 0.76/1.15 , ! V2 = vgensym( vapp( vapp( U, V1 ), vvar( T ) ) ), ! V3 = vsubst( X, Y
% 0.76/1.15 , Z ), V3 = vsubst( T, U, vabs( V2, W, vsubst( V0, vvar( V2 ), V1 ) ) ) }
% 0.76/1.15 .
% 0.76/1.15 { ! X = W, ! Y = V0, ! Z = vabs( T, U, V1 ), W = T, visFreeVar( T, V0 ), !
% 0.76/1.15 V2 = vsubst( X, Y, Z ), V2 = vabs( T, U, vsubst( W, V0, V1 ) ) }.
% 0.76/1.15 { alpha28( X, Y, Z, T ), X = skol6( X, U, W, V0 ) }.
% 0.76/1.15 { alpha28( X, Y, Z, T ), alpha33( Y, Z, T, skol6( X, Y, Z, T ) ) }.
% 0.76/1.15 { ! alpha33( X, Y, Z, T ), X = skol7( X, U, W, V0 ) }.
% 0.76/1.15 { ! alpha33( X, Y, Z, T ), alpha36( Y, Z, T, skol7( X, Y, Z, T ) ) }.
% 0.76/1.15 { ! X = U, ! alpha36( Y, Z, T, U ), alpha33( X, Y, Z, T ) }.
% 0.76/1.15 { ! alpha36( X, Y, Z, T ), alpha39( X, Z, skol8( X, Y, Z, T ), skol41( X, Y
% 0.76/1.15 , Z, T ), skol60( X, Y, Z, T ) ) }.
% 0.76/1.15 { ! alpha36( X, Y, Z, T ), ! visFreeVar( skol8( X, Y, Z, T ), T ) }.
% 0.76/1.15 { ! alpha36( X, Y, Z, T ), Y = vabs( skol8( X, Y, Z, T ), skol41( X, Y, Z,
% 0.76/1.15 T ), vsubst( Z, T, skol60( X, Y, Z, T ) ) ) }.
% 0.76/1.15 { ! alpha39( X, Z, U, W, V0 ), visFreeVar( U, T ), ! Y = vabs( U, W, vsubst
% 0.76/1.15 ( Z, T, V0 ) ), alpha36( X, Y, Z, T ) }.
% 0.76/1.15 { ! alpha39( X, Y, Z, T, U ), X = vabs( Z, T, U ) }.
% 0.76/1.15 { ! alpha39( X, Y, Z, T, U ), ! Y = Z }.
% 0.76/1.15 { ! X = vabs( Z, T, U ), Y = Z, alpha39( X, Y, Z, T, U ) }.
% 0.76/1.15 { ! alpha28( X, Y, Z, T ), alpha34( X, Y, Z, T ), alpha37( X, Y, Z, T ) }.
% 0.76/1.15 { ! alpha34( X, Y, Z, T ), alpha28( X, Y, Z, T ) }.
% 0.76/1.15 { ! alpha37( X, Y, Z, T ), alpha28( X, Y, Z, T ) }.
% 0.76/1.15 { ! alpha37( X, Y, Z, T ), X = skol9( X, U, W, V0 ) }.
% 0.76/1.15 { ! alpha37( X, Y, Z, T ), alpha40( Y, Z, T, skol9( X, Y, Z, T ) ) }.
% 0.76/1.15 { ! X = U, ! alpha40( Y, Z, T, U ), alpha37( X, Y, Z, T ) }.
% 0.76/1.15 { ! alpha40( X, Y, Z, T ), X = skol10( X, U, W, V0 ) }.
% 0.76/1.15 { ! alpha40( X, Y, Z, T ), alpha42( Y, Z, T, skol10( X, Y, Z, T ) ) }.
% 0.76/1.15 { ! X = U, ! alpha42( Y, Z, T, U ), alpha40( X, Y, Z, T ) }.
% 0.76/1.15 { ! alpha42( X, Y, Z, T ), alpha48( X, Z, T, skol11( X, Y, Z, T ), skol42(
% 0.76/1.15 X, Y, Z, T ), skol61( X, Y, Z, T ) ) }.
% 0.76/1.15 { ! alpha42( X, Y, Z, T ), skol76( X, Y, Z, T ) = vgensym( vapp( vapp( T,
% 0.76/1.15 skol61( X, Y, Z, T ) ), vvar( Z ) ) ) }.
% 0.76/1.15 { ! alpha42( X, Y, Z, T ), Y = vsubst( Z, T, vabs( skol76( X, Y, Z, T ),
% 0.76/1.15 skol11( X, Y, Z, T ), vsubst( skol42( X, Y, Z, T ), vvar( skol76( X, Y, Z
% 0.76/1.15 , T ) ), skol61( X, Y, Z, T ) ) ) ) }.
% 0.76/1.15 { ! alpha48( X, Z, T, U, W, V0 ), ! V1 = vgensym( vapp( vapp( T, V0 ), vvar
% 0.76/1.15 ( Z ) ) ), ! Y = vsubst( Z, T, vabs( V1, U, vsubst( W, vvar( V1 ), V0 ) )
% 0.76/1.15 ), alpha42( X, Y, Z, T ) }.
% 0.76/1.15 { ! alpha48( X, Y, Z, T, U, W ), alpha45( X, Y, T, U, W ) }.
% 0.76/1.15 { ! alpha48( X, Y, Z, T, U, W ), visFreeVar( U, Z ) }.
% 0.76/1.15 { ! alpha45( X, Y, T, U, W ), ! visFreeVar( U, Z ), alpha48( X, Y, Z, T, U
% 0.76/1.15 , W ) }.
% 0.76/1.15 { ! alpha45( X, Y, Z, T, U ), X = vabs( T, Z, U ) }.
% 0.76/1.15 { ! alpha45( X, Y, Z, T, U ), ! Y = T }.
% 0.76/1.15 { ! X = vabs( T, Z, U ), Y = T, alpha45( X, Y, Z, T, U ) }.
% 0.76/1.15 { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z, T ), alpha23( Z, T, skol12( U
% 0.76/1.15 , W, Z, T ) ) }.
% 0.76/1.15 { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z, T ), alpha18( X, Y, skol12( X
% 0.76/1.15 , Y, Z, T ) ) }.
% 0.76/1.15 { ! alpha38( X, Y, Z, T ), alpha34( X, Y, Z, T ) }.
% 0.76/1.15 { ! alpha18( X, Y, U ), ! alpha23( Z, T, U ), alpha34( X, Y, Z, T ) }.
% 0.76/1.15 { ! alpha38( X, Y, Z, T ), alpha41( X, Y, Z, T ), alpha43( X, Y, Z, T ) }.
% 0.76/1.15 { ! alpha41( X, Y, Z, T ), alpha38( X, Y, Z, T ) }.
% 0.76/1.15 { ! alpha43( X, Y, Z, T ), alpha38( X, Y, Z, T ) }.
% 0.76/1.15 { ! alpha43( X, Y, Z, T ), X = skol13( X, U, W, V0 ) }.
% 0.76/1.15 { ! alpha43( X, Y, Z, T ), alpha46( Y, Z, T, skol13( X, Y, Z, T ) ) }.
% 0.76/1.15 { ! X = U, ! alpha46( Y, Z, T, U ), alpha43( X, Y, Z, T ) }.
% 0.76/1.15 { ! alpha46( X, Y, Z, T ), X = skol14( X, U, W, V0 ) }.
% 0.76/1.15 { ! alpha46( X, Y, Z, T ), Y = vapp( skol43( X, Y, Z, T ), skol62( X, Y, Z
% 0.76/1.15 , T ) ) }.
% 0.76/1.15 { ! alpha46( X, Y, Z, T ), Z = vapp( vsubst( T, skol14( X, Y, Z, T ),
% 0.76/1.15 skol43( X, Y, Z, T ) ), vsubst( T, skol14( X, Y, Z, T ), skol62( X, Y, Z
% 0.76/1.15 , T ) ) ) }.
% 0.76/1.15 { ! X = U, ! Y = vapp( W, V0 ), ! Z = vapp( vsubst( T, U, W ), vsubst( T, U
% 0.76/1.15 , V0 ) ), alpha46( X, Y, Z, T ) }.
% 0.76/1.15 { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z, T ), alpha12( Z, T, skol15( U
% 0.76/1.15 , W, Z, T ) ) }.
% 0.76/1.15 { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z, T ), alpha6( X, Y, skol15( X,
% 0.76/1.15 Y, Z, T ) ) }.
% 0.76/1.15 { ! alpha44( X, Y, Z, T ), alpha41( X, Y, Z, T ) }.
% 0.76/1.15 { ! alpha6( X, Y, U ), ! alpha12( Z, T, U ), alpha41( X, Y, Z, T ) }.
% 0.76/1.15 { ! alpha44( X, Y, Z, T ), ! vsubst( X, Y, Z ) = T, alpha47( X, Y, Z, T ) }
% 0.76/1.15 .
% 0.76/1.15 { vsubst( X, Y, Z ) = T, alpha44( X, Y, Z, T ) }.
% 0.76/1.15 { ! alpha47( X, Y, Z, T ), alpha44( X, Y, Z, T ) }.
% 0.76/1.15 { ! alpha47( X, Y, Z, T ), X = skol16( X, U, W, V0 ) }.
% 0.76/1.15 { ! alpha47( X, Y, Z, T ), alpha49( Y, Z, T, skol16( X, Y, Z, T ) ) }.
% 0.76/1.15 { ! X = U, ! alpha49( Y, Z, T, U ), alpha47( X, Y, Z, T ) }.
% 0.76/1.15 { ! alpha49( X, Y, Z, T ), X = skol17( X, U, W, V0 ) }.
% 0.76/1.15 { ! alpha49( X, Y, Z, T ), alpha2( Y, T, skol44( U, Y, W, T ) ) }.
% 0.76/1.15 { ! alpha49( X, Y, Z, T ), Z = skol17( X, Y, Z, T ) }.
% 0.76/1.15 { ! X = U, ! alpha2( Y, T, W ), ! Z = U, alpha49( X, Y, Z, T ) }.
% 0.76/1.15 { ! alpha23( X, Y, Z ), X = vabs( skol18( X, Y, Z ), skol45( X, Y, Z ),
% 0.76/1.15 skol63( X, Y, Z ) ) }.
% 0.76/1.15 { ! alpha23( X, Y, Z ), Z = skol18( X, Y, Z ) }.
% 0.76/1.15 { ! alpha23( X, Y, Z ), Y = vabs( skol18( X, Y, Z ), skol45( X, Y, Z ),
% 0.76/1.15 skol63( X, Y, Z ) ) }.
% 0.76/1.15 { ! X = vabs( T, U, W ), ! Z = T, ! Y = vabs( T, U, W ), alpha23( X, Y, Z )
% 0.76/1.15 }.
% 0.76/1.15 { ! alpha18( X, Y, Z ), X = Z }.
% 0.76/1.15 { ! alpha18( X, Y, Z ), Y = skol19( Y ) }.
% 0.76/1.15 { ! X = Z, ! Y = T, alpha18( X, Y, Z ) }.
% 0.76/1.15 { ! alpha12( X, Y, Z ), ! Z = skol20( T, U, Z ) }.
% 0.76/1.15 { ! alpha12( X, Y, Z ), Y = vvar( skol20( T, Y, Z ) ) }.
% 0.76/1.15 { ! alpha12( X, Y, Z ), X = vvar( skol20( X, Y, Z ) ) }.
% 0.76/1.15 { ! X = vvar( T ), Z = T, ! Y = vvar( T ), alpha12( X, Y, Z ) }.
% 0.76/1.15 { ! alpha6( X, Y, Z ), X = Z }.
% 0.76/1.15 { ! alpha6( X, Y, Z ), Y = skol21( Y ) }.
% 0.76/1.15 { ! X = Z, ! Y = T, alpha6( X, Y, Z ) }.
% 0.76/1.15 { ! alpha2( X, Y, Z ), X = vvar( Z ) }.
% 0.76/1.15 { ! alpha2( X, Y, Z ), Y = Z }.
% 0.76/1.15 { ! X = vvar( Z ), ! Y = Z, alpha2( X, Y, Z ) }.
% 0.76/1.15 { ! &&, vnoExp = vnoExp }.
% 0.76/1.15 { ! vsomeExp( X ) = vsomeExp( Y ), X = Y }.
% 0.76/1.15 { ! X = Y, vsomeExp( X ) = vsomeExp( Y ) }.
% 0.76/1.15 { ! vnoExp = vsomeExp( X ) }.
% 0.76/1.15 { ! X = vnoExp, ! visSomeExp( X ) }.
% 0.76/1.15 { ! X = vsomeExp( Y ), visSomeExp( X ) }.
% 0.76/1.15 { ! X = vsomeExp( Y ), ! Z = vgetSomeExp( X ), Z = Y }.
% 0.76/1.15 { ! X = vvar( Y ), ! Z = vreduce( X ), Z = vnoExp }.
% 0.76/1.15 { ! X = vabs( Y, Z, T ), ! U = vreduce( X ), U = vnoExp }.
% 0.76/1.15 { ! Y = vapp( vabs( Z, T, U ), X ), ! W = vreduce( X ), ! visSomeExp( W ),
% 0.76/1.15 ! V0 = vreduce( Y ), V0 = vsomeExp( vapp( vabs( Z, T, U ), vgetSomeExp( W
% 0.76/1.15 ) ) ) }.
% 0.76/1.15 { ! X = vapp( vabs( Y, U, T ), Z ), ! W = vreduce( Z ), visSomeExp( W ), !
% 0.76/1.15 visValue( Z ), ! V0 = vreduce( X ), V0 = vsomeExp( vsubst( Y, Z, T ) ) }
% 0.76/1.15 .
% 0.76/1.15 { ! Y = vapp( vabs( Z, T, U ), X ), ! W = vreduce( X ), visSomeExp( W ),
% 0.76/1.15 visValue( X ), ! V0 = vreduce( Y ), V0 = vnoExp }.
% 0.76/1.15 { ! Y = vapp( X, Z ), X = vabs( skol22( X ), skol46( X ), skol64( X ) ), !
% 0.76/1.15 T = vreduce( X ), ! visSomeExp( T ), ! U = vreduce( Y ), U = vsomeExp(
% 0.76/1.15 vapp( vgetSomeExp( T ), Z ) ) }.
% 0.76/1.15 { ! Y = vapp( X, Z ), X = vabs( skol23( X ), skol47( X ), skol65( X ) ), !
% 0.76/1.15 T = vreduce( X ), visSomeExp( T ), ! U = vreduce( Y ), U = vnoExp }.
% 0.76/1.15 { alpha3( X, Y ), alpha13( Y, skol24( Z, Y ) ) }.
% 0.76/1.15 { alpha3( X, Y ), alpha7( X, skol24( X, Y ) ) }.
% 0.76/1.15 { ! alpha13( X, Y ), ! visSomeExp( skol25( Z, T ) ) }.
% 0.76/1.15 { ! alpha13( X, Y ), skol25( Z, Y ) = vreduce( Y ) }.
% 0.76/1.15 { ! alpha13( X, Y ), X = vnoExp }.
% 0.76/1.15 { ! Z = vreduce( Y ), visSomeExp( Z ), ! X = vnoExp, alpha13( X, Y ) }.
% 0.76/1.15 { ! alpha7( X, Y ), X = vapp( Y, skol26( X, Y ) ) }.
% 0.76/1.15 { ! alpha7( X, Y ), ! Y = vabs( Z, T, U ) }.
% 0.76/1.15 { ! X = vapp( Y, Z ), Y = vabs( skol48( Y ), skol66( Y ), skol77( Y ) ),
% 0.76/1.15 alpha7( X, Y ) }.
% 0.76/1.15 { ! alpha3( X, Y ), alpha8( X, Y ), alpha14( X, Y ) }.
% 0.76/1.15 { ! alpha8( X, Y ), alpha3( X, Y ) }.
% 0.76/1.15 { ! alpha14( X, Y ), alpha3( X, Y ) }.
% 0.76/1.15 { ! alpha14( X, Y ), alpha24( X, skol27( X, Y ), skol49( X, Y ) ) }.
% 0.76/1.15 { ! alpha14( X, Y ), alpha19( skol27( X, Y ), skol67( X, Y ) ) }.
% 0.76/1.15 { ! alpha14( X, Y ), Y = vsomeExp( vapp( vgetSomeExp( skol67( X, Y ) ),
% 0.76/1.15 skol49( X, Y ) ) ) }.
% 0.76/1.15 { ! alpha24( X, Z, T ), ! alpha19( Z, U ), ! Y = vsomeExp( vapp(
% 0.76/1.15 vgetSomeExp( U ), T ) ), alpha14( X, Y ) }.
% 0.76/1.15 { ! alpha24( X, Y, Z ), X = vapp( Y, Z ) }.
% 0.76/1.15 { ! alpha24( X, Y, Z ), ! Y = vabs( T, U, W ) }.
% 0.76/1.15 { ! X = vapp( Y, Z ), Y = vabs( skol28( Y ), skol50( Y ), skol68( Y ) ),
% 0.76/1.15 alpha24( X, Y, Z ) }.
% 0.76/1.15 { ! alpha19( X, Y ), Y = vreduce( X ) }.
% 0.76/1.15 { ! alpha19( X, Y ), visSomeExp( Y ) }.
% 0.76/1.15 { ! Y = vreduce( X ), ! visSomeExp( Y ), alpha19( X, Y ) }.
% 0.76/1.15 { ! alpha8( X, Y ), alpha15( X, Y ), alpha20( X, Y ) }.
% 0.76/1.15 { ! alpha15( X, Y ), alpha8( X, Y ) }.
% 0.76/1.15 { ! alpha20( X, Y ), alpha8( X, Y ) }.
% 0.76/1.15 { ! alpha20( X, Y ), alpha25( Y, skol29( Z, Y ) ) }.
% 0.76/1.15 { ! alpha20( X, Y ), X = vapp( vabs( skol51( X, Y ), skol69( X, Y ), skol78
% 0.76/1.15 ( X, Y ) ), skol29( X, Y ) ) }.
% 0.76/1.15 { ! X = vapp( vabs( T, U, W ), Z ), ! alpha25( Y, Z ), alpha20( X, Y ) }.
% 0.76/1.15 { ! alpha25( X, Y ), alpha29( Y, skol30( Z, Y ) ) }.
% 0.76/1.15 { ! alpha25( X, Y ), X = vnoExp }.
% 0.76/1.15 { ! alpha29( Y, Z ), ! X = vnoExp, alpha25( X, Y ) }.
% 0.76/1.15 { ! alpha29( X, Y ), Y = vreduce( X ) }.
% 0.76/1.15 { ! alpha29( X, Y ), ! visSomeExp( Y ) }.
% 0.76/1.15 { ! alpha29( X, Y ), ! visValue( X ) }.
% 0.76/1.15 { ! Y = vreduce( X ), visSomeExp( Y ), visValue( X ), alpha29( X, Y ) }.
% 0.76/1.15 { ! alpha15( X, Y ), alpha21( X, Y ), alpha26( X, Y ) }.
% 0.76/1.15 { ! alpha21( X, Y ), alpha15( X, Y ) }.
% 0.76/1.15 { ! alpha26( X, Y ), alpha15( X, Y ) }.
% 0.76/1.15 { ! alpha26( X, Y ), X = vapp( vabs( skol31( X, Y ), skol79( X, Y ), skol70
% 0.76/1.15 ( X, Y ) ), skol52( X, Y ) ) }.
% 0.76/1.15 { ! alpha26( X, Y ), alpha30( skol52( X, Y ), skol83( X, Y ) ) }.
% 0.76/1.15 { ! alpha26( X, Y ), Y = vsomeExp( vsubst( skol31( X, Y ), skol52( X, Y ),
% 0.76/1.15 skol70( X, Y ) ) ) }.
% 0.76/1.15 { ! X = vapp( vabs( Z, W, U ), T ), ! alpha30( T, V0 ), ! Y = vsomeExp(
% 0.76/1.15 vsubst( Z, T, U ) ), alpha26( X, Y ) }.
% 0.76/1.15 { ! alpha30( X, Y ), Y = vreduce( X ) }.
% 0.76/1.15 { ! alpha30( X, Y ), ! visSomeExp( Y ) }.
% 0.76/1.15 { ! alpha30( X, Y ), visValue( X ) }.
% 0.76/1.15 { ! Y = vreduce( X ), visSomeExp( Y ), ! visValue( X ), alpha30( X, Y ) }.
% 0.76/1.15 { ! alpha21( X, Y ), alpha27( X, Y ), alpha31( X, Y ) }.
% 0.76/1.15 { ! alpha27( X, Y ), alpha21( X, Y ) }.
% 0.76/1.15 { ! alpha31( X, Y ), alpha21( X, Y ) }.
% 0.76/1.15 { ! alpha31( X, Y ), X = vapp( vabs( skol53( X, Y ), skol71( X, Y ), skol80
% 0.76/1.15 ( X, Y ) ), skol32( X, Y ) ) }.
% 0.76/1.15 { ! alpha31( X, Y ), alpha35( skol32( X, Y ), skol84( X, Y ) ) }.
% 0.76/1.15 { ! alpha31( X, Y ), Y = vsomeExp( vapp( vabs( skol53( X, Y ), skol71( X, Y
% 0.76/1.15 ), skol80( X, Y ) ), vgetSomeExp( skol84( X, Y ) ) ) ) }.
% 0.76/1.15 { ! X = vapp( vabs( T, U, W ), Z ), ! alpha35( Z, V0 ), ! Y = vsomeExp(
% 0.76/1.15 vapp( vabs( T, U, W ), vgetSomeExp( V0 ) ) ), alpha31( X, Y ) }.
% 0.76/1.15 { ! alpha35( X, Y ), Y = vreduce( X ) }.
% 0.76/1.15 { ! alpha35( X, Y ), visSomeExp( Y ) }.
% 0.76/1.15 { ! Y = vreduce( X ), ! visSomeExp( Y ), alpha35( X, Y ) }.
% 0.76/1.15 { ! alpha27( X, Y ), alpha32( X, Y ), X = vabs( skol33( X ), skol54( X ),
% 0.76/1.15 skol72( X ) ) }.
% 0.76/1.15 { ! alpha27( X, Y ), alpha32( X, Y ), Y = vnoExp }.
% 0.76/1.15 { ! alpha32( X, Y ), alpha27( X, Y ) }.
% 0.76/1.15 { ! X = vabs( Z, T, U ), ! Y = vnoExp, alpha27( X, Y ) }.
% 0.76/1.15 { ! alpha32( X, Y ), ! vreduce( X ) = Y, X = vvar( skol34( X ) ) }.
% 0.76/1.15 { ! alpha32( X, Y ), ! vreduce( X ) = Y, Y = vnoExp }.
% 0.76/1.15 { vreduce( X ) = Y, alpha32( X, Y ) }.
% 0.76/1.15 { ! X = vvar( Z ), ! Y = vnoExp, alpha32( X, Y ) }.
% 0.76/1.15 { ! varrow( X, Y ) = varrow( Z, T ), X = Z }.
% 0.76/1.15 { ! varrow( X, Y ) = varrow( Z, T ), Y = T }.
% 0.76/1.15 { ! X = Z, ! Y = T, varrow( X, Y ) = varrow( Z, T ) }.
% 0.76/1.15 { ! vlookup( Y, X ) = vsomeType( Z ), vtcheck( X, vvar( Y ), Z ) }.
% 0.76/1.15 { ! vtcheck( vbind( Y, T, X ), Z, U ), vtcheck( X, vabs( Y, T, Z ), varrow
% 0.76/1.15 ( T, U ) ) }.
% 0.76/1.15 { ! vtcheck( X, Y, varrow( U, T ) ), ! vtcheck( X, Z, U ), vtcheck( X, vapp
% 0.76/1.15 ( Y, Z ), T ) }.
% 0.76/1.15 { alpha4( X, Y, Z ), X = vapp( skol35( X, Y, Z ), skol55( X, Y, Z ) ) }.
% 0.76/1.15 { alpha4( X, Y, Z ), vtcheck( Z, skol35( X, Y, Z ), varrow( skol73( X, Y, Z
% 0.76/1.15 ), Y ) ) }.
% 0.76/1.15 { alpha4( X, Y, Z ), vtcheck( Z, skol55( X, Y, Z ), skol73( X, Y, Z ) ) }.
% 0.76/1.15 { ! alpha4( X, Y, Z ), alpha9( X, Y, Z ), alpha16( X, Y, Z ) }.
% 0.76/1.15 { ! alpha9( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.76/1.15 { ! alpha16( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.76/1.15 { ! alpha16( X, Y, Z ), X = vabs( skol36( X, Y, Z ), skol74( X, Y, Z ),
% 0.76/1.15 skol56( X, Y, Z ) ) }.
% 0.76/1.15 { ! alpha16( X, Y, Z ), Y = varrow( skol74( X, Y, Z ), skol81( X, Y, Z ) )
% 0.76/1.15 }.
% 0.76/1.15 { ! alpha16( X, Y, Z ), vtcheck( vbind( skol36( X, Y, Z ), skol74( X, Y, Z
% 0.76/1.15 ), Z ), skol56( X, Y, Z ), skol81( X, Y, Z ) ) }.
% 0.76/1.15 { ! X = vabs( T, W, U ), ! Y = varrow( W, V0 ), ! vtcheck( vbind( T, W, Z )
% 0.76/1.15 , U, V0 ), alpha16( X, Y, Z ) }.
% 0.76/1.15 { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ), X = vvar( skol37( X, T, U ) )
% 0.76/1.15 }.
% 0.76/1.15 { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ), vlookup( skol37( X, Y, Z ), Z
% 0.76/1.15 ) = vsomeType( Y ) }.
% 0.76/1.15 { vtcheck( Z, X, Y ), alpha9( X, Y, Z ) }.
% 0.76/1.15 { ! X = vvar( T ), ! vlookup( T, Z ) = vsomeType( Y ), alpha9( X, Y, Z ) }
% 0.76/1.15 .
% 0.76/1.15 { valphaEquivalent( X, X ) }.
% 0.76/1.15 { ! valphaEquivalent( Y, X ), valphaEquivalent( X, Y ) }.
% 0.76/1.15 { ! valphaEquivalent( X, Z ), ! valphaEquivalent( Z, Y ), valphaEquivalent
% 0.76/1.15 ( X, Y ) }.
% 0.76/1.15 { visFreeVar( X, Y ), valphaEquivalent( vabs( T, Z, Y ), vabs( X, Z, vsubst
% 0.76/1.15 ( T, vvar( X ), Y ) ) ) }.
% 0.76/1.15 { ! vtcheck( X, T, Z ), ! valphaEquivalent( T, Y ), vtcheck( X, Y, Z ) }.
% 0.76/1.15 { visFreeVar( X, Z ), ! valphaEquivalent( Z, Y ), ! visFreeVar( X, Y ) }.
% 0.76/1.15 { ! vlookup( X, Y ) = vnoType, ! vtcheck( Y, Z, T ), vtcheck( vbind( X, U,
% 0.76/1.15 Y ), Z, T ) }.
% 0.76/1.15 { visFreeVar( T, Y ), ! vtcheck( vbind( T, U, X ), Y, Z ), vtcheck( X, Y, Z
% 0.76/1.15 ) }.
% 0.76/1.15 { visFreeVar( X, Z ), ! vtcheck( Y, Z, T ), vtcheck( vbind( X, U, Y ), Z, T
% 0.76/1.15 ) }.
% 0.76/1.15 { Y = T, visFreeVar( T, Z ), ! vtcheck( X, Z, V1 ), ! vtcheck( vbind( Y, V1
% 0.76/1.15 , X ), vabs( T, U, W ), V0 ), vtcheck( X, vsubst( Y, Z, vabs( T, U, W ) )
% 0.76/1.15 , V0 ) }.
% 0.76/1.15 { skol57 = vgensym( vapp( vapp( skol75, skol82 ), vvar( skol38 ) ) ) }.
% 0.76/1.15 { skol38 = skol57 }.
% 0.76/1.15
% 0.76/1.15 *** allocated 15000 integers for clauses
% 0.76/1.15 percentage equality = 0.464072, percentage horn = 0.795276
% 0.76/1.15 This is a problem with some equality
% 0.76/1.15
% 0.76/1.15
% 0.76/1.15
% 0.76/1.15 Options Used:
% 0.76/1.15
% 0.76/1.15 useres = 1
% 0.76/1.15 useparamod = 1
% 0.76/1.15 useeqrefl = 1
% 0.76/1.15 useeqfact = 1
% 0.76/1.15 usefactor = 1
% 0.76/1.15 usesimpsplitting = 0
% 0.76/1.15 usesimpdemod = 5
% 0.76/1.15 usesimpres = 3
% 0.76/1.15
% 0.76/1.15 resimpinuse = 1000
% 0.76/1.15 resimpclauses = 20000
% 0.76/1.15 substype = eqrewr
% 0.76/1.15 backwardsubs = 1
% 0.76/1.15 selectoldest = 5
% 0.76/1.15
% 0.76/1.15 litorderings [0] = split
% 0.76/1.15 litorderings [1] = extend the termordering, first sorting on arguments
% 0.76/1.15
% 0.76/1.15 termordering = kbo
% 0.76/1.15
% 0.76/1.15 litapriori = 0
% 0.76/1.15 termapriori = 1
% 0.76/1.15 litaposteriori = 0
% 0.76/1.15 termaposteriori = 0
% 0.76/1.15 demodaposteriori = 0
% 0.76/1.15 ordereqreflfact = 0
% 0.76/1.15
% 0.76/1.15 litselect = negord
% 0.76/1.15
% 0.76/1.15 maxweight = 15
% 0.76/1.15 maxdepth = 30000
% 0.76/1.15 maxlength = 115
% 0.76/1.15 maxnrvars = 195
% 0.76/1.15 excuselevel = 1
% 0.76/1.15 increasemaxweight = 1
% 0.76/1.15
% 0.76/1.15 maxselected = 10000000
% 0.76/1.15 maxnrclauses = 10000000
% 0.76/1.15
% 0.76/1.15 showgenerated = 0
% 0.76/1.15 showkept = 0
% 0.76/1.15 showselected = 0
% 0.76/1.15 showdeleted = 0
% 0.76/1.15 showresimp = 1
% 0.76/1.15 showstatus = 2000
% 0.76/1.15
% 0.76/1.15 prologoutput = 0
% 0.76/1.15 nrgoals = 5000000
% 0.76/1.15 totalproof = 1
% 0.76/1.15
% 0.76/1.15 Symbols occurring in the translation:
% 0.76/1.15
% 0.76/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.15 . [1, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.76/1.15 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.76/1.15 ! [4, 1] (w:0, o:48, a:1, s:1, b:0),
% 0.76/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.15 vvar [37, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.76/1.15 vabs [42, 3] (w:1, o:150, a:1, s:1, b:0),
% 0.76/1.15 vapp [45, 2] (w:1, o:106, a:1, s:1, b:0),
% 0.76/1.15 visValue [49, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.76/1.15 visFreeVar [53, 2] (w:1, o:107, a:1, s:1, b:0),
% 0.76/1.15 vempty [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.76/1.15 vbind [58, 3] (w:1, o:151, a:1, s:1, b:0),
% 0.76/1.15 vnoType [59, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.76/1.15 vsomeType [60, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.76/1.15 visSomeType [62, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.76/1.15 vgetSomeType [64, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.76/1.15 vlookup [65, 2] (w:1, o:108, a:1, s:1, b:0),
% 0.76/1.15 vtcheck [70, 3] (w:1, o:153, a:1, s:1, b:0),
% 0.76/1.15 vgensym [71, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.76/1.15 vsubst [72, 3] (w:1, o:152, a:1, s:1, b:0),
% 0.76/1.15 vnoExp [74, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.76/1.15 vsomeExp [75, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.76/1.15 visSomeExp [77, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.76/1.15 vgetSomeExp [78, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.76/1.15 vreduce [79, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.76/1.15 varrow [87, 2] (w:1, o:109, a:1, s:1, b:0),
% 0.76/1.15 valphaEquivalent [90, 2] (w:1, o:110, a:1, s:1, b:0),
% 0.76/1.15 alpha1 [92, 2] (w:1, o:111, a:1, s:1, b:1),
% 0.76/1.15 alpha2 [93, 3] (w:1, o:160, a:1, s:1, b:1),
% 0.76/1.15 alpha3 [94, 2] (w:1, o:118, a:1, s:1, b:1),
% 0.76/1.15 alpha4 [95, 3] (w:1, o:161, a:1, s:1, b:1),
% 0.76/1.15 alpha5 [96, 3] (w:1, o:162, a:1, s:1, b:1),
% 0.76/1.15 alpha6 [97, 3] (w:1, o:163, a:1, s:1, b:1),
% 4.01/4.39 alpha7 [98, 2] (w:1, o:119, a:1, s:1, b:1),
% 4.01/4.39 alpha8 [99, 2] (w:1, o:120, a:1, s:1, b:1),
% 4.01/4.39 alpha9 [100, 3] (w:1, o:164, a:1, s:1, b:1),
% 4.01/4.39 alpha10 [101, 3] (w:1, o:154, a:1, s:1, b:1),
% 4.01/4.39 alpha11 [102, 3] (w:1, o:155, a:1, s:1, b:1),
% 4.01/4.39 alpha12 [103, 3] (w:1, o:156, a:1, s:1, b:1),
% 4.01/4.39 alpha13 [104, 2] (w:1, o:121, a:1, s:1, b:1),
% 4.01/4.39 alpha14 [105, 2] (w:1, o:122, a:1, s:1, b:1),
% 4.01/4.39 alpha15 [106, 2] (w:1, o:123, a:1, s:1, b:1),
% 4.01/4.39 alpha16 [107, 3] (w:1, o:157, a:1, s:1, b:1),
% 4.01/4.39 alpha17 [108, 3] (w:1, o:158, a:1, s:1, b:1),
% 4.01/4.39 alpha18 [109, 3] (w:1, o:159, a:1, s:1, b:1),
% 4.01/4.39 alpha19 [110, 2] (w:1, o:124, a:1, s:1, b:1),
% 4.01/4.39 alpha20 [111, 2] (w:1, o:112, a:1, s:1, b:1),
% 4.01/4.39 alpha21 [112, 2] (w:1, o:113, a:1, s:1, b:1),
% 4.01/4.39 alpha22 [113, 3] (w:1, o:165, a:1, s:1, b:1),
% 4.01/4.39 alpha23 [114, 3] (w:1, o:166, a:1, s:1, b:1),
% 4.01/4.39 alpha24 [115, 3] (w:1, o:167, a:1, s:1, b:1),
% 4.01/4.39 alpha25 [116, 2] (w:1, o:114, a:1, s:1, b:1),
% 4.01/4.39 alpha26 [117, 2] (w:1, o:115, a:1, s:1, b:1),
% 4.01/4.39 alpha27 [118, 2] (w:1, o:116, a:1, s:1, b:1),
% 4.01/4.39 alpha28 [119, 4] (w:1, o:188, a:1, s:1, b:1),
% 4.01/4.39 alpha29 [120, 2] (w:1, o:117, a:1, s:1, b:1),
% 4.01/4.39 alpha30 [121, 2] (w:1, o:125, a:1, s:1, b:1),
% 4.01/4.39 alpha31 [122, 2] (w:1, o:126, a:1, s:1, b:1),
% 4.01/4.39 alpha32 [123, 2] (w:1, o:127, a:1, s:1, b:1),
% 4.01/4.39 alpha33 [124, 4] (w:1, o:189, a:1, s:1, b:1),
% 4.01/4.39 alpha34 [125, 4] (w:1, o:190, a:1, s:1, b:1),
% 4.01/4.39 alpha35 [126, 2] (w:1, o:128, a:1, s:1, b:1),
% 4.01/4.39 alpha36 [127, 4] (w:1, o:191, a:1, s:1, b:1),
% 4.01/4.39 alpha37 [128, 4] (w:1, o:192, a:1, s:1, b:1),
% 4.01/4.39 alpha38 [129, 4] (w:1, o:193, a:1, s:1, b:1),
% 4.01/4.39 alpha39 [130, 5] (w:1, o:222, a:1, s:1, b:1),
% 4.01/4.39 alpha40 [131, 4] (w:1, o:194, a:1, s:1, b:1),
% 4.01/4.39 alpha41 [132, 4] (w:1, o:195, a:1, s:1, b:1),
% 4.01/4.39 alpha42 [133, 4] (w:1, o:196, a:1, s:1, b:1),
% 4.01/4.39 alpha43 [134, 4] (w:1, o:197, a:1, s:1, b:1),
% 4.01/4.39 alpha44 [135, 4] (w:1, o:198, a:1, s:1, b:1),
% 4.01/4.39 alpha45 [136, 5] (w:1, o:223, a:1, s:1, b:1),
% 4.01/4.39 alpha46 [137, 4] (w:1, o:199, a:1, s:1, b:1),
% 4.01/4.39 alpha47 [138, 4] (w:1, o:200, a:1, s:1, b:1),
% 4.01/4.39 alpha48 [139, 6] (w:1, o:224, a:1, s:1, b:1),
% 4.01/4.39 alpha49 [140, 4] (w:1, o:201, a:1, s:1, b:1),
% 4.01/4.39 skol1 [141, 3] (w:1, o:168, a:1, s:1, b:1),
% 4.01/4.39 skol2 [142, 3] (w:1, o:170, a:1, s:1, b:1),
% 4.01/4.39 skol3 [143, 3] (w:1, o:172, a:1, s:1, b:1),
% 4.01/4.39 skol4 [144, 3] (w:1, o:177, a:1, s:1, b:1),
% 4.01/4.39 skol5 [145, 1] (w:1, o:66, a:1, s:1, b:1),
% 4.01/4.39 skol6 [146, 4] (w:1, o:202, a:1, s:1, b:1),
% 4.01/4.39 skol7 [147, 4] (w:1, o:206, a:1, s:1, b:1),
% 4.01/4.39 skol8 [148, 4] (w:1, o:208, a:1, s:1, b:1),
% 4.01/4.39 skol9 [149, 4] (w:1, o:209, a:1, s:1, b:1),
% 4.01/4.39 skol10 [150, 4] (w:1, o:210, a:1, s:1, b:1),
% 4.01/4.39 skol11 [151, 4] (w:1, o:211, a:1, s:1, b:1),
% 4.01/4.39 skol12 [152, 4] (w:1, o:212, a:1, s:1, b:1),
% 4.01/4.39 skol13 [153, 4] (w:1, o:213, a:1, s:1, b:1),
% 4.01/4.39 skol14 [154, 4] (w:1, o:214, a:1, s:1, b:1),
% 4.01/4.39 skol15 [155, 4] (w:1, o:215, a:1, s:1, b:1),
% 4.01/4.39 skol16 [156, 4] (w:1, o:216, a:1, s:1, b:1),
% 4.01/4.39 skol17 [157, 4] (w:1, o:217, a:1, s:1, b:1),
% 4.01/4.39 skol18 [158, 3] (w:1, o:169, a:1, s:1, b:1),
% 4.01/4.39 skol19 [159, 1] (w:1, o:67, a:1, s:1, b:1),
% 4.01/4.39 skol20 [160, 3] (w:1, o:171, a:1, s:1, b:1),
% 4.01/4.39 skol21 [161, 1] (w:1, o:68, a:1, s:1, b:1),
% 4.01/4.39 skol22 [162, 1] (w:1, o:69, a:1, s:1, b:1),
% 4.01/4.39 skol23 [163, 1] (w:1, o:70, a:1, s:1, b:1),
% 4.01/4.39 skol24 [164, 2] (w:1, o:129, a:1, s:1, b:1),
% 4.01/4.39 skol25 [165, 2] (w:1, o:130, a:1, s:1, b:1),
% 4.01/4.39 skol26 [166, 2] (w:1, o:131, a:1, s:1, b:1),
% 4.01/4.39 skol27 [167, 2] (w:1, o:132, a:1, s:1, b:1),
% 4.01/4.39 skol28 [168, 1] (w:1, o:71, a:1, s:1, b:1),
% 4.01/4.39 skol29 [169, 2] (w:1, o:133, a:1, s:1, b:1),
% 4.01/4.39 skol30 [170, 2] (w:1, o:134, a:1, s:1, b:1),
% 4.01/4.39 skol31 [171, 2] (w:1, o:135, a:1, s:1, b:1),
% 4.01/4.39 skol32 [172, 2] (w:1, o:136, a:1, s:1, b:1),
% 4.01/4.39 skol33 [173, 1] (w:1, o:72, a:1, s:1, b:1),
% 4.01/4.39 skol34 [174, 1] (w:1, o:73, a:1, s:1, b:1),
% 4.01/4.39 skol35 [175, 3] (w:1, o:173, a:1, s:1, b:1),
% 6.87/7.25 skol36 [176, 3] (w:1, o:174, a:1, s:1, b:1),
% 6.87/7.25 skol37 [177, 3] (w:1, o:175, a:1, s:1, b:1),
% 6.87/7.25 skol38 [178, 0] (w:1, o:44, a:1, s:1, b:1),
% 6.87/7.25 skol39 [179, 3] (w:1, o:176, a:1, s:1, b:1),
% 6.87/7.25 skol40 [180, 3] (w:1, o:178, a:1, s:1, b:1),
% 6.87/7.25 skol41 [181, 4] (w:1, o:218, a:1, s:1, b:1),
% 6.87/7.25 skol42 [182, 4] (w:1, o:219, a:1, s:1, b:1),
% 6.87/7.25 skol43 [183, 4] (w:1, o:220, a:1, s:1, b:1),
% 6.87/7.25 skol44 [184, 4] (w:1, o:221, a:1, s:1, b:1),
% 6.87/7.25 skol45 [185, 3] (w:1, o:179, a:1, s:1, b:1),
% 6.87/7.25 skol46 [186, 1] (w:1, o:63, a:1, s:1, b:1),
% 6.87/7.25 skol47 [187, 1] (w:1, o:64, a:1, s:1, b:1),
% 6.87/7.25 skol48 [188, 1] (w:1, o:65, a:1, s:1, b:1),
% 6.87/7.25 skol49 [189, 2] (w:1, o:137, a:1, s:1, b:1),
% 6.87/7.25 skol50 [190, 1] (w:1, o:74, a:1, s:1, b:1),
% 6.87/7.25 skol51 [191, 2] (w:1, o:138, a:1, s:1, b:1),
% 6.87/7.25 skol52 [192, 2] (w:1, o:139, a:1, s:1, b:1),
% 6.87/7.25 skol53 [193, 2] (w:1, o:140, a:1, s:1, b:1),
% 6.87/7.25 skol54 [194, 1] (w:1, o:75, a:1, s:1, b:1),
% 6.87/7.25 skol55 [195, 3] (w:1, o:180, a:1, s:1, b:1),
% 6.87/7.25 skol56 [196, 3] (w:1, o:181, a:1, s:1, b:1),
% 6.87/7.25 skol57 [197, 0] (w:1, o:45, a:1, s:1, b:1),
% 6.87/7.25 skol58 [198, 3] (w:1, o:182, a:1, s:1, b:1),
% 6.87/7.25 skol59 [199, 3] (w:1, o:183, a:1, s:1, b:1),
% 6.87/7.25 skol60 [200, 4] (w:1, o:203, a:1, s:1, b:1),
% 6.87/7.25 skol61 [201, 4] (w:1, o:204, a:1, s:1, b:1),
% 6.87/7.25 skol62 [202, 4] (w:1, o:205, a:1, s:1, b:1),
% 6.87/7.25 skol63 [203, 3] (w:1, o:184, a:1, s:1, b:1),
% 6.87/7.25 skol64 [204, 1] (w:1, o:76, a:1, s:1, b:1),
% 6.87/7.25 skol65 [205, 1] (w:1, o:77, a:1, s:1, b:1),
% 6.87/7.25 skol66 [206, 1] (w:1, o:78, a:1, s:1, b:1),
% 6.87/7.25 skol67 [207, 2] (w:1, o:141, a:1, s:1, b:1),
% 6.87/7.25 skol68 [208, 1] (w:1, o:79, a:1, s:1, b:1),
% 6.87/7.25 skol69 [209, 2] (w:1, o:142, a:1, s:1, b:1),
% 6.87/7.25 skol70 [210, 2] (w:1, o:143, a:1, s:1, b:1),
% 6.87/7.25 skol71 [211, 2] (w:1, o:144, a:1, s:1, b:1),
% 6.87/7.25 skol72 [212, 1] (w:1, o:80, a:1, s:1, b:1),
% 6.87/7.25 skol73 [213, 3] (w:1, o:185, a:1, s:1, b:1),
% 6.87/7.25 skol74 [214, 3] (w:1, o:186, a:1, s:1, b:1),
% 6.87/7.25 skol75 [215, 0] (w:1, o:46, a:1, s:1, b:1),
% 6.87/7.25 skol76 [216, 4] (w:1, o:207, a:1, s:1, b:1),
% 6.87/7.25 skol77 [217, 1] (w:1, o:81, a:1, s:1, b:1),
% 6.87/7.25 skol78 [218, 2] (w:1, o:145, a:1, s:1, b:1),
% 6.87/7.25 skol79 [219, 2] (w:1, o:146, a:1, s:1, b:1),
% 6.87/7.25 skol80 [220, 2] (w:1, o:147, a:1, s:1, b:1),
% 6.87/7.25 skol81 [221, 3] (w:1, o:187, a:1, s:1, b:1),
% 6.87/7.25 skol82 [222, 0] (w:1, o:47, a:1, s:1, b:1),
% 6.87/7.25 skol83 [223, 2] (w:1, o:148, a:1, s:1, b:1),
% 6.87/7.25 skol84 [224, 2] (w:1, o:149, a:1, s:1, b:1).
% 6.87/7.25
% 6.87/7.25
% 6.87/7.25 Starting Search:
% 6.87/7.25
% 6.87/7.25 *** allocated 22500 integers for clauses
% 6.87/7.25 *** allocated 33750 integers for clauses
% 6.87/7.25 *** allocated 22500 integers for termspace/termends
% 6.87/7.25 *** allocated 50625 integers for clauses
% 6.87/7.25 *** allocated 75937 integers for clauses
% 6.87/7.25 *** allocated 33750 integers for termspace/termends
% 6.87/7.25 Resimplifying inuse:
% 6.87/7.25 Done
% 6.87/7.25
% 6.87/7.25 *** allocated 113905 integers for clauses
% 6.87/7.25 *** allocated 50625 integers for termspace/termends
% 6.87/7.25
% 6.87/7.25 Intermediate Status:
% 6.87/7.25 Generated: 6513
% 6.87/7.25 Kept: 2005
% 6.87/7.25 Inuse: 91
% 6.87/7.25 Deleted: 0
% 6.87/7.25 Deletedinuse: 0
% 6.87/7.25
% 6.87/7.25 Resimplifying inuse:
% 6.87/7.25 Done
% 6.87/7.25
% 6.87/7.25 *** allocated 170857 integers for clauses
% 6.87/7.25 *** allocated 75937 integers for termspace/termends
% 6.87/7.25 Resimplifying inuse:
% 6.87/7.25 Done
% 6.87/7.25
% 6.87/7.25 *** allocated 256285 integers for clauses
% 6.87/7.25 *** allocated 113905 integers for termspace/termends
% 6.87/7.25
% 6.87/7.25 Intermediate Status:
% 6.87/7.25 Generated: 15674
% 6.87/7.25 Kept: 4312
% 6.87/7.25 Inuse: 159
% 6.87/7.25 Deleted: 2
% 6.87/7.25 Deletedinuse: 0
% 6.87/7.25
% 6.87/7.25 Resimplifying inuse:
% 6.87/7.25 Done
% 6.87/7.25
% 6.87/7.25 Resimplifying inuse:
% 6.87/7.25 Done
% 6.87/7.25
% 6.87/7.25 *** allocated 384427 integers for clauses
% 6.87/7.25 *** allocated 170857 integers for termspace/termends
% 6.87/7.25
% 6.87/7.25 Intermediate Status:
% 6.87/7.25 Generated: 30164
% 6.87/7.25 Kept: 6549
% 6.87/7.25 Inuse: 203
% 6.87/7.25 Deleted: 4
% 6.87/7.25 Deletedinuse: 1
% 6.87/7.25
% 6.87/7.25 Resimplifying inuse:
% 6.87/7.25 Done
% 6.87/7.25
% 6.87/7.25 Resimplifying inuse:
% 6.87/7.25 Done
% 6.87/7.25
% 6.87/7.25 *** allocated 576640 integers for clauses
% 6.87/7.25 *** allocated 256285 integers for termspace/termends
% 6.87/7.25
% 6.87/7.25 Intermediate Status:
% 6.87/7.25 Generated: 37497
% 6.87/7.25 Kept: 8874
% 6.87/7.25 Inuse: 286
% 6.87/7.25 Deleted: 9
% 6.87/7.25 Deletedinuse: 2
% 6.87/7.25
% 6.87/7.25 Resimplifying inuse:
% 6.87/7.25 Done
% 6.87/7.25
% 6.87/7.25 Resimplifying inuse:
% 6.87/7.25 Done
% 6.87/7.25
% 6.87/7.25 *** allocated 384427 integers for termspace/termends
% 6.87/7.25
% 6.87/7.25 Intermediate Status:
% 6.87/7.25 Generated: 77127
% 6.87/7.25 Kept: 11454
% 6.87/7.25 Inuse: 317
% 6.87/7.25 Deleted: 12
% 6.87/7.25 Deletedinuse: 3
% 6.87/7.25
% 6.87/7.25 Resimplifying inuse:
% 6.87/7.25 Done
% 6.87/7.25
% 6.87/7.25 *** allocated 864960 integers for clauses
% 6.87/7.25 Resimplifying inuse:
% 6.87/7.25 Done
% 6.87/7.25
% 6.87/7.25
% 6.87/7.25 Intermediate Status:
% 6.87/7.25 Generated: 101988
% 6.87/7.25 Kept: 13669
% 6.87/7.25 Inuse: 379
% 6.87/7.25 Deleted: 15
% 6.87/7.25 Deletedinuse: 3
% 6.87/7.25
% 6.87/7.25 Resimplifying inuse:
% 6.87/7.25 Done
% 6.87/7.25
% 6.87/7.25 *** allocated 576640 integers for termspace/termends
% 6.87/7.25 Resimplifying inuse:
% 6.87/7.25 Done
% 6.87/7.25
% 6.87/7.25
% 6.87/7.25 Intermediate Status:
% 6.87/7.25 Generated: 111959
% 6.87/7.25 Kept: 15844
% 6.87/7.25 Inuse: 460
% 6.87/7.25 Deleted: 20
% 6.87/7.25 Deletedinuse: 4
% 6.87/7.25
% 6.87/7.25 Resimplifying inuse:
% 6.87/7.25 Done
% 6.87/7.25
% 6.87/7.25 Resimplifying inuse:
% 6.87/7.25 Done
% 6.87/7.25
% 6.87/7.25
% 6.87/7.25 Intermediate Status:
% 6.87/7.25 Generated: 120979
% 6.87/7.25 Kept: 17856
% 6.87/7.25 Inuse: 520
% 6.87/7.25 Deleted: 20
% 6.87/7.25 Deletedinuse: 4
% 6.87/7.25
% 6.87/7.25 Resimplifying inuse:
% 6.87/7.25 Done
% 6.87/7.25
% 6.87/7.25 *** allocated 1297440 integers for clauses
% 6.87/7.25 Resimplifying inuse:
% 6.87/7.25 Done
% 6.87/7.25
% 6.87/7.25
% 6.87/7.25 Intermediate Status:
% 6.87/7.25 Generated: 131337
% 6.87/7.25 Kept: 20175
% 6.87/7.25 Inuse: 570
% 6.87/7.25 Deleted: 24
% 6.87/7.25 Deletedinuse: 8
% 6.87/7.25
% 6.87/7.25 Resimplifying inuse:
% 6.87/7.25 Done
% 6.87/7.25
% 6.87/7.25 Resimplifying clauses:
% 6.87/7.25
% 6.87/7.25 Bliksems!, er is een bewijs:
% 6.87/7.25 % SZS status Theorem
% 6.87/7.25 % SZS output start Refutation
% 6.87/7.25
% 6.87/7.25 (15) {G0,W13,D3,L4,V4,M4} I { ! X = T, ! Y = vvar( Z ), ! Z = T, visFreeVar
% 6.87/7.25 ( X, Y ) }.
% 6.87/7.25 (21) {G0,W14,D3,L4,V5,M4} I { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( T
% 6.87/7.25 , U ), visFreeVar( X, Y ) }.
% 6.87/7.25 (62) {G0,W7,D3,L2,V2,M2} I { ! vgensym( Y ) = X, ! visFreeVar( X, Y ) }.
% 6.87/7.25 (252) {G0,W9,D5,L1,V0,M1} I { vgensym( vapp( vapp( skol75, skol82 ), vvar(
% 6.87/7.25 skol38 ) ) ) ==> skol57 }.
% 6.87/7.25 (253) {G0,W3,D2,L1,V0,M1} I { skol57 ==> skol38 }.
% 6.87/7.25 (395) {G1,W4,D3,L1,V1,M1} Q(62) { ! visFreeVar( vgensym( X ), X ) }.
% 6.87/7.25 (2267) {G2,W12,D3,L3,V4,M3} R(21,395) { ! vgensym( X ) = Y, ! X = vapp( Z,
% 6.87/7.25 T ), ! visFreeVar( Y, T ) }.
% 6.87/7.25 (2294) {G3,W9,D4,L2,V3,M2} Q(2267) { ! vgensym( vapp( X, Y ) ) = Z, !
% 6.87/7.25 visFreeVar( Z, Y ) }.
% 6.87/7.25 (2295) {G4,W6,D4,L1,V2,M1} Q(2294) { ! visFreeVar( vgensym( vapp( X, Y ) )
% 6.87/7.25 , Y ) }.
% 6.87/7.25 (4778) {G5,W13,D4,L3,V4,M3} R(2295,15) { ! vgensym( vapp( X, Y ) ) = Z, ! Y
% 6.87/7.25 = vvar( T ), ! T = Z }.
% 6.87/7.25 (4817) {G6,W10,D5,L2,V3,M2} Q(4778) { ! vgensym( vapp( X, vvar( Y ) ) ) = Z
% 6.87/7.25 , ! Y = Z }.
% 6.87/7.25 (4818) {G7,W7,D5,L1,V2,M1} Q(4817) { ! vgensym( vapp( Y, vvar( X ) ) ) ==>
% 6.87/7.25 X }.
% 6.87/7.25 (20176) {G8,W0,D0,L0,V0,M0} S(252);d(253);r(4818) { }.
% 6.87/7.25
% 6.87/7.25
% 6.87/7.25 % SZS output end Refutation
% 6.87/7.25 found a proof!
% 6.87/7.25
% 6.87/7.25
% 6.87/7.25 Unprocessed initial clauses:
% 6.87/7.25
% 6.87/7.25 (20178) {G0,W8,D3,L2,V2,M2} { ! vvar( X ) = vvar( Y ), X = Y }.
% 6.87/7.25 (20179) {G0,W8,D3,L2,V2,M2} { ! X = Y, vvar( X ) = vvar( Y ) }.
% 6.87/7.25 (20180) {G0,W12,D3,L2,V6,M2} { ! vabs( X, Y, Z ) = vabs( T, U, W ), X = T
% 6.87/7.25 }.
% 6.87/7.25 (20181) {G0,W12,D3,L2,V6,M2} { ! vabs( X, Y, Z ) = vabs( T, U, W ), Y = U
% 6.87/7.25 }.
% 6.87/7.25 (20182) {G0,W12,D3,L2,V6,M2} { ! vabs( X, Y, Z ) = vabs( T, U, W ), Z = W
% 6.87/7.25 }.
% 6.87/7.25 (20183) {G0,W18,D3,L4,V6,M4} { ! X = T, ! Y = U, ! Z = W, vabs( X, Y, Z )
% 6.87/7.25 = vabs( T, U, W ) }.
% 6.87/7.25 (20184) {G0,W10,D3,L2,V4,M2} { ! vapp( X, Y ) = vapp( Z, T ), X = Z }.
% 6.87/7.25 (20185) {G0,W10,D3,L2,V4,M2} { ! vapp( X, Y ) = vapp( Z, T ), Y = T }.
% 6.87/7.25 (20186) {G0,W13,D3,L3,V4,M3} { ! X = Z, ! Y = T, vapp( X, Y ) = vapp( Z, T
% 6.87/7.25 ) }.
% 6.87/7.25 (20187) {G0,W7,D3,L1,V4,M1} { ! vvar( X ) = vabs( Y, Z, T ) }.
% 6.87/7.25 (20188) {G0,W6,D3,L1,V3,M1} { ! vvar( X ) = vapp( Y, Z ) }.
% 6.87/7.25 (20189) {G0,W8,D3,L1,V5,M1} { ! vabs( X, Y, Z ) = vapp( T, U ) }.
% 6.87/7.25 (20190) {G0,W8,D3,L2,V4,M2} { ! X = vabs( Y, Z, T ), visValue( X ) }.
% 6.87/7.25 (20191) {G0,W6,D3,L2,V2,M2} { ! X = vvar( Y ), ! visValue( X ) }.
% 6.87/7.25 (20192) {G0,W7,D3,L2,V3,M2} { ! X = vapp( Y, Z ), ! visValue( X ) }.
% 6.87/7.25 (20193) {G0,W13,D3,L4,V4,M4} { ! X = T, ! Y = vvar( Z ), ! Z = T,
% 6.87/7.25 visFreeVar( X, Y ) }.
% 6.87/7.25 (20194) {G0,W13,D3,L4,V4,M4} { ! X = T, ! Y = vvar( Z ), ! visFreeVar( X,
% 6.87/7.25 Y ), Z = T }.
% 6.87/7.25 (20195) {G0,W18,D3,L5,V6,M5} { ! X = T, ! Y = vabs( Z, W, U ), Z = T, !
% 6.87/7.25 visFreeVar( T, U ), visFreeVar( X, Y ) }.
% 6.87/7.25 (20196) {G0,W15,D3,L4,V6,M4} { ! X = T, ! Y = vabs( Z, W, U ), !
% 6.87/7.25 visFreeVar( X, Y ), ! Z = T }.
% 6.87/7.25 (20197) {G0,W15,D3,L4,V6,M4} { ! X = T, ! Y = vabs( Z, W, U ), !
% 6.87/7.25 visFreeVar( X, Y ), visFreeVar( T, U ) }.
% 6.87/7.25 (20198) {G0,W14,D3,L4,V5,M4} { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar(
% 6.87/7.25 T, Z ), visFreeVar( X, Y ) }.
% 6.87/7.25 (20199) {G0,W14,D3,L4,V5,M4} { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar(
% 6.87/7.25 T, U ), visFreeVar( X, Y ) }.
% 6.87/7.25 (20200) {G0,W17,D3,L5,V5,M5} { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar(
% 6.87/7.25 X, Y ), visFreeVar( T, Z ), visFreeVar( T, U ) }.
% 6.87/7.25 (20201) {G0,W4,D2,L2,V0,M2} { ! &&, vempty = vempty }.
% 6.87/7.25 (20202) {G0,W12,D3,L2,V6,M2} { ! vbind( X, Y, Z ) = vbind( T, U, W ), X =
% 6.87/7.25 T }.
% 6.87/7.25 (20203) {G0,W12,D3,L2,V6,M2} { ! vbind( X, Y, Z ) = vbind( T, U, W ), Y =
% 6.87/7.25 U }.
% 6.87/7.25 (20204) {G0,W12,D3,L2,V6,M2} { ! vbind( X, Y, Z ) = vbind( T, U, W ), Z =
% 6.87/7.25 W }.
% 6.87/7.25 (20205) {G0,W18,D3,L4,V6,M4} { ! X = T, ! Y = U, ! Z = W, vbind( X, Y, Z )
% 6.87/7.25 = vbind( T, U, W ) }.
% 6.87/7.25 (20206) {G0,W4,D2,L2,V0,M2} { ! &&, vnoType = vnoType }.
% 6.87/7.25 (20207) {G0,W8,D3,L2,V2,M2} { ! vsomeType( X ) = vsomeType( Y ), X = Y }.
% 6.87/7.25 (20208) {G0,W8,D3,L2,V2,M2} { ! X = Y, vsomeType( X ) = vsomeType( Y ) }.
% 6.87/7.25 (20209) {G0,W6,D3,L1,V3,M1} { ! vempty = vbind( X, Y, Z ) }.
% 6.87/7.25 (20210) {G0,W4,D3,L1,V1,M1} { ! vnoType = vsomeType( X ) }.
% 6.87/7.25 (20211) {G0,W5,D2,L2,V1,M2} { ! X = vnoType, ! visSomeType( X ) }.
% 6.87/7.25 (20212) {G0,W6,D3,L2,V2,M2} { ! X = vsomeType( Y ), visSomeType( X ) }.
% 6.87/7.25 (20213) {G0,W11,D3,L3,V3,M3} { ! X = vsomeType( Y ), ! Z = vgetSomeType( X
% 6.87/7.25 ), Z = Y }.
% 6.87/7.25 (20214) {G0,W14,D3,L4,V4,M4} { ! X = Z, ! Y = vempty, ! T = vlookup( X, Y
% 6.87/7.25 ), T = vnoType }.
% 6.87/7.25 (20215) {G0,W21,D3,L5,V7,M5} { ! Z = X, ! T = vbind( Y, U, W ), ! X = Y, !
% 6.87/7.25 V0 = vlookup( Z, T ), V0 = vsomeType( U ) }.
% 6.87/7.25 (20216) {G0,W22,D3,L5,V7,M5} { ! Y = T, ! Z = vbind( X, W, U ), T = X, !
% 6.87/7.25 V0 = vlookup( Y, Z ), V0 = vlookup( T, U ) }.
% 6.87/7.25 (20217) {G0,W10,D3,L2,V5,M2} { alpha5( X, Y, Z ), X = skol1( X, T, U ) }.
% 6.87/7.25 (20218) {G0,W11,D3,L2,V3,M2} { alpha5( X, Y, Z ), alpha10( Y, Z, skol1( X
% 6.87/7.25 , Y, Z ) ) }.
% 6.87/7.25 (20219) {G0,W12,D4,L2,V4,M2} { ! alpha10( X, Y, Z ), Y = vlookup( Z,
% 6.87/7.25 skol39( T, Y, Z ) ) }.
% 6.87/7.25 (20220) {G0,W10,D3,L2,V3,M2} { ! alpha10( X, Y, Z ), ! Z = skol2( X, Y, Z
% 6.87/7.25 ) }.
% 6.87/7.25 (20221) {G0,W19,D4,L2,V3,M2} { ! alpha10( X, Y, Z ), X = vbind( skol2( X,
% 6.87/7.25 Y, Z ), skol58( X, Y, Z ), skol39( X, Y, Z ) ) }.
% 6.87/7.25 (20222) {G0,W18,D3,L4,V6,M4} { ! X = vbind( T, W, U ), Z = T, ! Y =
% 6.87/7.25 vlookup( Z, U ), alpha10( X, Y, Z ) }.
% 6.87/7.25 (20223) {G0,W12,D2,L3,V3,M3} { ! alpha5( X, Y, Z ), alpha11( X, Y, Z ),
% 6.87/7.25 alpha17( X, Y, Z ) }.
% 6.87/7.25 (20224) {G0,W8,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha5( X, Y, Z ) }.
% 6.87/7.25 (20225) {G0,W8,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha5( X, Y, Z ) }.
% 6.87/7.25 (20226) {G0,W10,D3,L2,V5,M2} { ! alpha17( X, Y, Z ), X = skol3( X, T, U )
% 6.87/7.25 }.
% 6.87/7.25 (20227) {G0,W11,D3,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha22( Y, Z, skol3
% 6.87/7.25 ( X, Y, Z ) ) }.
% 6.87/7.25 (20228) {G0,W11,D2,L3,V4,M3} { ! X = T, ! alpha22( Y, Z, T ), alpha17( X,
% 6.87/7.25 Y, Z ) }.
% 6.87/7.25 (20229) {G0,W11,D4,L2,V5,M2} { ! alpha22( X, Y, Z ), Y = vsomeType( skol40
% 6.87/7.25 ( T, Y, U ) ) }.
% 6.87/7.25 (20230) {G0,W10,D3,L2,V3,M2} { ! alpha22( X, Y, Z ), Z = skol4( X, Y, Z )
% 6.87/7.25 }.
% 6.87/7.25 (20231) {G0,W19,D4,L2,V3,M2} { ! alpha22( X, Y, Z ), X = vbind( skol4( X,
% 6.87/7.25 Y, Z ), skol40( X, Y, Z ), skol59( X, Y, Z ) ) }.
% 6.87/7.25 (20232) {G0,W17,D3,L4,V6,M4} { ! X = vbind( T, U, W ), ! Z = T, ! Y =
% 6.87/7.25 vsomeType( U ), alpha22( X, Y, Z ) }.
% 6.87/7.25 (20233) {G0,W12,D3,L3,V3,M3} { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z
% 6.87/7.25 , alpha1( X, Y ) }.
% 6.87/7.25 (20234) {G0,W12,D3,L3,V3,M3} { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z
% 6.87/7.25 , Z = vnoType }.
% 6.87/7.25 (20235) {G0,W9,D3,L2,V3,M2} { vlookup( X, Y ) = Z, alpha11( X, Y, Z ) }.
% 6.87/7.25 (20236) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y ), ! Z = vnoType, alpha11( X
% 6.87/7.25 , Y, Z ) }.
% 6.87/7.25 (20237) {G0,W7,D3,L2,V2,M2} { ! alpha1( X, Y ), X = skol5( X ) }.
% 6.87/7.25 (20238) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), Y = vempty }.
% 6.87/7.25 (20239) {G0,W9,D2,L3,V3,M3} { ! X = Z, ! Y = vempty, alpha1( X, Y ) }.
% 6.87/7.25 (20240) {G0,W20,D4,L3,V7,M3} { ! X = W, ! vtcheck( vbind( X, Y, vbind( W,
% 6.87/7.25 V0, Z ) ), T, U ), vtcheck( vbind( X, Y, Z ), T, U ) }.
% 6.87/7.25 (20241) {G0,W23,D4,L3,V7,M3} { Z = X, ! vtcheck( vbind( Z, T, vbind( X, Y
% 6.87/7.25 , U ) ), W, V0 ), vtcheck( vbind( X, Y, vbind( Z, T, U ) ), W, V0 ) }.
% 6.87/7.25 (20242) {G0,W7,D3,L2,V2,M2} { ! vgensym( Y ) = X, ! visFreeVar( X, Y ) }.
% 6.87/7.25 (20243) {G0,W22,D3,L6,V7,M6} { ! Z = X, ! T = W, ! U = vvar( Y ), ! X = Y
% 6.87/7.25 , ! V0 = vsubst( Z, T, U ), V0 = W }.
% 6.87/7.25 (20244) {G0,W23,D3,L6,V7,M6} { ! Y = X, ! Z = W, ! T = vvar( U ), X = U, !
% 6.87/7.25 V0 = vsubst( Y, Z, T ), V0 = vvar( U ) }.
% 6.87/7.25 (20245) {G0,W28,D4,L5,V8,M5} { ! X = U, ! Y = W, ! Z = vapp( T, V0 ), ! V1
% 6.87/7.25 = vsubst( X, Y, Z ), V1 = vapp( vsubst( U, W, T ), vsubst( U, W, V0 ) )
% 6.87/7.25 }.
% 6.87/7.25 (20246) {G0,W27,D3,L6,V9,M6} { ! Y = X, ! Z = V1, ! T = vabs( U, W, V0 ),
% 6.87/7.25 ! X = U, ! V2 = vsubst( Y, Z, T ), V2 = vabs( U, W, V0 ) }.
% 6.87/7.25 (20247) {G0,W46,D6,L8,V10,M8} { ! X = T, ! Y = U, ! Z = vabs( V0, W, V1 )
% 6.87/7.25 , T = V0, ! visFreeVar( V0, U ), ! V2 = vgensym( vapp( vapp( U, V1 ),
% 6.87/7.25 vvar( T ) ) ), ! V3 = vsubst( X, Y, Z ), V3 = vsubst( T, U, vabs( V2, W,
% 6.87/7.25 vsubst( V0, vvar( V2 ), V1 ) ) ) }.
% 6.87/7.25 (20248) {G0,W33,D4,L7,V9,M7} { ! X = W, ! Y = V0, ! Z = vabs( T, U, V1 ),
% 6.87/7.25 W = T, visFreeVar( T, V0 ), ! V2 = vsubst( X, Y, Z ), V2 = vabs( T, U,
% 6.87/7.25 vsubst( W, V0, V1 ) ) }.
% 6.87/7.25 (20249) {G0,W12,D3,L2,V7,M2} { alpha28( X, Y, Z, T ), X = skol6( X, U, W,
% 6.87/7.25 V0 ) }.
% 6.87/7.25 (20250) {G0,W14,D3,L2,V4,M2} { alpha28( X, Y, Z, T ), alpha33( Y, Z, T,
% 6.87/7.25 skol6( X, Y, Z, T ) ) }.
% 6.87/7.25 (20251) {G0,W12,D3,L2,V7,M2} { ! alpha33( X, Y, Z, T ), X = skol7( X, U, W
% 6.87/7.25 , V0 ) }.
% 6.87/7.25 (20252) {G0,W14,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T ), alpha36( Y, Z, T,
% 6.87/7.25 skol7( X, Y, Z, T ) ) }.
% 6.87/7.25 (20253) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha36( Y, Z, T, U ), alpha33(
% 6.87/7.25 X, Y, Z, T ) }.
% 6.87/7.25 (20254) {G0,W23,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T ), alpha39( X, Z,
% 6.87/7.25 skol8( X, Y, Z, T ), skol41( X, Y, Z, T ), skol60( X, Y, Z, T ) ) }.
% 6.87/7.25 (20255) {G0,W12,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T ), ! visFreeVar(
% 6.87/7.25 skol8( X, Y, Z, T ), T ) }.
% 6.87/7.25 (20256) {G0,W26,D5,L2,V4,M2} { ! alpha36( X, Y, Z, T ), Y = vabs( skol8( X
% 6.87/7.25 , Y, Z, T ), skol41( X, Y, Z, T ), vsubst( Z, T, skol60( X, Y, Z, T ) ) )
% 6.87/7.25 }.
% 6.87/7.25 (20257) {G0,W23,D4,L4,V7,M4} { ! alpha39( X, Z, U, W, V0 ), visFreeVar( U
% 6.87/7.25 , T ), ! Y = vabs( U, W, vsubst( Z, T, V0 ) ), alpha36( X, Y, Z, T ) }.
% 6.87/7.25 (20258) {G0,W12,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U ), X = vabs( Z, T
% 6.87/7.25 , U ) }.
% 6.87/7.25 (20259) {G0,W9,D2,L2,V5,M2} { ! alpha39( X, Y, Z, T, U ), ! Y = Z }.
% 6.87/7.25 (20260) {G0,W15,D3,L3,V5,M3} { ! X = vabs( Z, T, U ), Y = Z, alpha39( X, Y
% 6.87/7.25 , Z, T, U ) }.
% 6.87/7.25 (20261) {G0,W15,D2,L3,V4,M3} { ! alpha28( X, Y, Z, T ), alpha34( X, Y, Z,
% 6.87/7.25 T ), alpha37( X, Y, Z, T ) }.
% 6.87/7.25 (20262) {G0,W10,D2,L2,V4,M2} { ! alpha34( X, Y, Z, T ), alpha28( X, Y, Z,
% 6.87/7.25 T ) }.
% 6.87/7.25 (20263) {G0,W10,D2,L2,V4,M2} { ! alpha37( X, Y, Z, T ), alpha28( X, Y, Z,
% 6.87/7.25 T ) }.
% 6.87/7.25 (20264) {G0,W12,D3,L2,V7,M2} { ! alpha37( X, Y, Z, T ), X = skol9( X, U, W
% 6.87/7.25 , V0 ) }.
% 6.87/7.25 (20265) {G0,W14,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T ), alpha40( Y, Z, T,
% 6.87/7.25 skol9( X, Y, Z, T ) ) }.
% 6.87/7.25 (20266) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha40( Y, Z, T, U ), alpha37(
% 6.87/7.25 X, Y, Z, T ) }.
% 6.87/7.25 (20267) {G0,W12,D3,L2,V7,M2} { ! alpha40( X, Y, Z, T ), X = skol10( X, U,
% 6.87/7.25 W, V0 ) }.
% 6.87/7.25 (20268) {G0,W14,D3,L2,V4,M2} { ! alpha40( X, Y, Z, T ), alpha42( Y, Z, T,
% 6.87/7.25 skol10( X, Y, Z, T ) ) }.
% 6.87/7.25 (20269) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha42( Y, Z, T, U ), alpha40(
% 6.87/7.25 X, Y, Z, T ) }.
% 6.87/7.25 (20270) {G0,W24,D3,L2,V4,M2} { ! alpha42( X, Y, Z, T ), alpha48( X, Z, T,
% 6.87/7.25 skol11( X, Y, Z, T ), skol42( X, Y, Z, T ), skol61( X, Y, Z, T ) ) }.
% 6.87/7.25 (20271) {G0,W22,D6,L2,V4,M2} { ! alpha42( X, Y, Z, T ), skol76( X, Y, Z, T
% 6.87/7.25 ) = vgensym( vapp( vapp( T, skol61( X, Y, Z, T ) ), vvar( Z ) ) ) }.
% 6.87/7.25 (20272) {G0,W38,D7,L2,V4,M2} { ! alpha42( X, Y, Z, T ), Y = vsubst( Z, T,
% 6.87/7.25 vabs( skol76( X, Y, Z, T ), skol11( X, Y, Z, T ), vsubst( skol42( X, Y, Z
% 6.87/7.25 , T ), vvar( skol76( X, Y, Z, T ) ), skol61( X, Y, Z, T ) ) ) ) }.
% 6.87/7.25 (20273) {G0,W34,D6,L4,V8,M4} { ! alpha48( X, Z, T, U, W, V0 ), ! V1 =
% 6.87/7.25 vgensym( vapp( vapp( T, V0 ), vvar( Z ) ) ), ! Y = vsubst( Z, T, vabs( V1
% 6.87/7.25 , U, vsubst( W, vvar( V1 ), V0 ) ) ), alpha42( X, Y, Z, T ) }.
% 6.87/7.25 (20274) {G0,W13,D2,L2,V6,M2} { ! alpha48( X, Y, Z, T, U, W ), alpha45( X,
% 6.87/7.25 Y, T, U, W ) }.
% 6.87/7.25 (20275) {G0,W10,D2,L2,V6,M2} { ! alpha48( X, Y, Z, T, U, W ), visFreeVar(
% 6.87/7.25 U, Z ) }.
% 6.87/7.25 (20276) {G0,W16,D2,L3,V6,M3} { ! alpha45( X, Y, T, U, W ), ! visFreeVar( U
% 6.87/7.25 , Z ), alpha48( X, Y, Z, T, U, W ) }.
% 6.87/7.25 (20277) {G0,W12,D3,L2,V5,M2} { ! alpha45( X, Y, Z, T, U ), X = vabs( T, Z
% 6.87/7.25 , U ) }.
% 6.87/7.25 (20278) {G0,W9,D2,L2,V5,M2} { ! alpha45( X, Y, Z, T, U ), ! Y = T }.
% 6.87/7.25 (20279) {G0,W15,D3,L3,V5,M3} { ! X = vabs( T, Z, U ), Y = T, alpha45( X, Y
% 6.87/7.25 , Z, T, U ) }.
% 6.87/7.25 (20280) {G0,W18,D3,L3,V6,M3} { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z,
% 6.87/7.25 T ), alpha23( Z, T, skol12( U, W, Z, T ) ) }.
% 6.87/7.25 (20281) {G0,W18,D3,L3,V4,M3} { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z,
% 6.87/7.25 T ), alpha18( X, Y, skol12( X, Y, Z, T ) ) }.
% 6.87/7.25 (20282) {G0,W10,D2,L2,V4,M2} { ! alpha38( X, Y, Z, T ), alpha34( X, Y, Z,
% 6.87/7.25 T ) }.
% 6.87/7.25 (20283) {G0,W13,D2,L3,V5,M3} { ! alpha18( X, Y, U ), ! alpha23( Z, T, U )
% 6.87/7.25 , alpha34( X, Y, Z, T ) }.
% 6.87/7.25 (20284) {G0,W15,D2,L3,V4,M3} { ! alpha38( X, Y, Z, T ), alpha41( X, Y, Z,
% 6.87/7.25 T ), alpha43( X, Y, Z, T ) }.
% 6.87/7.25 (20285) {G0,W10,D2,L2,V4,M2} { ! alpha41( X, Y, Z, T ), alpha38( X, Y, Z,
% 6.87/7.25 T ) }.
% 6.87/7.25 (20286) {G0,W10,D2,L2,V4,M2} { ! alpha43( X, Y, Z, T ), alpha38( X, Y, Z,
% 6.87/7.25 T ) }.
% 6.87/7.25 (20287) {G0,W12,D3,L2,V7,M2} { ! alpha43( X, Y, Z, T ), X = skol13( X, U,
% 6.87/7.25 W, V0 ) }.
% 6.87/7.25 (20288) {G0,W14,D3,L2,V4,M2} { ! alpha43( X, Y, Z, T ), alpha46( Y, Z, T,
% 6.87/7.25 skol13( X, Y, Z, T ) ) }.
% 6.87/7.25 (20289) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha46( Y, Z, T, U ), alpha43(
% 6.87/7.25 X, Y, Z, T ) }.
% 6.87/7.25 (20290) {G0,W12,D3,L2,V7,M2} { ! alpha46( X, Y, Z, T ), X = skol14( X, U,
% 6.87/7.25 W, V0 ) }.
% 6.87/7.25 (20291) {G0,W18,D4,L2,V4,M2} { ! alpha46( X, Y, Z, T ), Y = vapp( skol43(
% 6.87/7.25 X, Y, Z, T ), skol62( X, Y, Z, T ) ) }.
% 6.87/7.25 (20292) {G0,W32,D5,L2,V4,M2} { ! alpha46( X, Y, Z, T ), Z = vapp( vsubst(
% 6.87/7.25 T, skol14( X, Y, Z, T ), skol43( X, Y, Z, T ) ), vsubst( T, skol14( X, Y
% 6.87/7.25 , Z, T ), skol62( X, Y, Z, T ) ) ) }.
% 6.87/7.25 (20293) {G0,W24,D4,L4,V7,M4} { ! X = U, ! Y = vapp( W, V0 ), ! Z = vapp(
% 6.87/7.25 vsubst( T, U, W ), vsubst( T, U, V0 ) ), alpha46( X, Y, Z, T ) }.
% 6.87/7.25 (20294) {G0,W18,D3,L3,V6,M3} { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z,
% 6.87/7.25 T ), alpha12( Z, T, skol15( U, W, Z, T ) ) }.
% 6.87/7.25 (20295) {G0,W18,D3,L3,V4,M3} { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z,
% 6.87/7.25 T ), alpha6( X, Y, skol15( X, Y, Z, T ) ) }.
% 6.87/7.25 (20296) {G0,W10,D2,L2,V4,M2} { ! alpha44( X, Y, Z, T ), alpha41( X, Y, Z,
% 6.87/7.25 T ) }.
% 6.87/7.25 (20297) {G0,W13,D2,L3,V5,M3} { ! alpha6( X, Y, U ), ! alpha12( Z, T, U ),
% 6.87/7.25 alpha41( X, Y, Z, T ) }.
% 6.87/7.25 (20298) {G0,W16,D3,L3,V4,M3} { ! alpha44( X, Y, Z, T ), ! vsubst( X, Y, Z
% 6.87/7.25 ) = T, alpha47( X, Y, Z, T ) }.
% 6.87/7.25 (20299) {G0,W11,D3,L2,V4,M2} { vsubst( X, Y, Z ) = T, alpha44( X, Y, Z, T
% 6.87/7.25 ) }.
% 6.87/7.25 (20300) {G0,W10,D2,L2,V4,M2} { ! alpha47( X, Y, Z, T ), alpha44( X, Y, Z,
% 6.87/7.25 T ) }.
% 6.87/7.25 (20301) {G0,W12,D3,L2,V7,M2} { ! alpha47( X, Y, Z, T ), X = skol16( X, U,
% 6.87/7.25 W, V0 ) }.
% 6.87/7.25 (20302) {G0,W14,D3,L2,V4,M2} { ! alpha47( X, Y, Z, T ), alpha49( Y, Z, T,
% 6.87/7.25 skol16( X, Y, Z, T ) ) }.
% 6.87/7.25 (20303) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha49( Y, Z, T, U ), alpha47(
% 6.87/7.25 X, Y, Z, T ) }.
% 6.87/7.25 (20304) {G0,W12,D3,L2,V7,M2} { ! alpha49( X, Y, Z, T ), X = skol17( X, U,
% 6.87/7.25 W, V0 ) }.
% 6.87/7.25 (20305) {G0,W13,D3,L2,V6,M2} { ! alpha49( X, Y, Z, T ), alpha2( Y, T,
% 6.87/7.25 skol44( U, Y, W, T ) ) }.
% 6.87/7.25 (20306) {G0,W12,D3,L2,V4,M2} { ! alpha49( X, Y, Z, T ), Z = skol17( X, Y,
% 6.87/7.25 Z, T ) }.
% 6.87/7.25 (20307) {G0,W15,D2,L4,V6,M4} { ! X = U, ! alpha2( Y, T, W ), ! Z = U,
% 6.87/7.25 alpha49( X, Y, Z, T ) }.
% 6.87/7.25 (20308) {G0,W19,D4,L2,V3,M2} { ! alpha23( X, Y, Z ), X = vabs( skol18( X,
% 6.87/7.25 Y, Z ), skol45( X, Y, Z ), skol63( X, Y, Z ) ) }.
% 6.87/7.25 (20309) {G0,W10,D3,L2,V3,M2} { ! alpha23( X, Y, Z ), Z = skol18( X, Y, Z )
% 6.87/7.25 }.
% 6.87/7.25 (20310) {G0,W19,D4,L2,V3,M2} { ! alpha23( X, Y, Z ), Y = vabs( skol18( X,
% 6.87/7.25 Y, Z ), skol45( X, Y, Z ), skol63( X, Y, Z ) ) }.
% 6.87/7.25 (20311) {G0,W19,D3,L4,V6,M4} { ! X = vabs( T, U, W ), ! Z = T, ! Y = vabs
% 6.87/7.25 ( T, U, W ), alpha23( X, Y, Z ) }.
% 6.87/7.25 (20312) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), X = Z }.
% 6.87/7.25 (20313) {G0,W8,D3,L2,V3,M2} { ! alpha18( X, Y, Z ), Y = skol19( Y ) }.
% 6.87/7.25 (20314) {G0,W10,D2,L3,V4,M3} { ! X = Z, ! Y = T, alpha18( X, Y, Z ) }.
% 6.87/7.25 (20315) {G0,W10,D3,L2,V5,M2} { ! alpha12( X, Y, Z ), ! Z = skol20( T, U, Z
% 6.87/7.25 ) }.
% 6.87/7.25 (20316) {G0,W11,D4,L2,V4,M2} { ! alpha12( X, Y, Z ), Y = vvar( skol20( T,
% 6.87/7.25 Y, Z ) ) }.
% 6.87/7.25 (20317) {G0,W11,D4,L2,V3,M2} { ! alpha12( X, Y, Z ), X = vvar( skol20( X,
% 6.87/7.25 Y, Z ) ) }.
% 6.87/7.25 (20318) {G0,W15,D3,L4,V4,M4} { ! X = vvar( T ), Z = T, ! Y = vvar( T ),
% 6.87/7.25 alpha12( X, Y, Z ) }.
% 6.87/7.25 (20319) {G0,W7,D2,L2,V3,M2} { ! alpha6( X, Y, Z ), X = Z }.
% 6.87/7.25 (20320) {G0,W8,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), Y = skol21( Y ) }.
% 6.87/7.25 (20321) {G0,W10,D2,L3,V4,M3} { ! X = Z, ! Y = T, alpha6( X, Y, Z ) }.
% 6.87/7.25 (20322) {G0,W8,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), X = vvar( Z ) }.
% 6.87/7.25 (20323) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), Y = Z }.
% 6.87/7.25 (20324) {G0,W11,D3,L3,V3,M3} { ! X = vvar( Z ), ! Y = Z, alpha2( X, Y, Z )
% 6.87/7.25 }.
% 6.87/7.25 (20325) {G0,W4,D2,L2,V0,M2} { ! &&, vnoExp = vnoExp }.
% 6.87/7.25 (20326) {G0,W8,D3,L2,V2,M2} { ! vsomeExp( X ) = vsomeExp( Y ), X = Y }.
% 6.87/7.25 (20327) {G0,W8,D3,L2,V2,M2} { ! X = Y, vsomeExp( X ) = vsomeExp( Y ) }.
% 6.87/7.25 (20328) {G0,W4,D3,L1,V1,M1} { ! vnoExp = vsomeExp( X ) }.
% 6.87/7.25 (20329) {G0,W5,D2,L2,V1,M2} { ! X = vnoExp, ! visSomeExp( X ) }.
% 6.87/7.25 (20330) {G0,W6,D3,L2,V2,M2} { ! X = vsomeExp( Y ), visSomeExp( X ) }.
% 6.87/7.25 (20331) {G0,W11,D3,L3,V3,M3} { ! X = vsomeExp( Y ), ! Z = vgetSomeExp( X )
% 6.87/7.25 , Z = Y }.
% 6.87/7.25 (20332) {G0,W11,D3,L3,V3,M3} { ! X = vvar( Y ), ! Z = vreduce( X ), Z =
% 6.87/7.25 vnoExp }.
% 6.87/7.25 (20333) {G0,W13,D3,L3,V5,M3} { ! X = vabs( Y, Z, T ), ! U = vreduce( X ),
% 6.87/7.25 U = vnoExp }.
% 6.87/7.25 (20334) {G0,W28,D5,L5,V7,M5} { ! Y = vapp( vabs( Z, T, U ), X ), ! W =
% 6.87/7.25 vreduce( X ), ! visSomeExp( W ), ! V0 = vreduce( Y ), V0 = vsomeExp( vapp
% 6.87/7.25 ( vabs( Z, T, U ), vgetSomeExp( W ) ) ) }.
% 6.87/7.25 (20335) {G0,W27,D4,L6,V7,M6} { ! X = vapp( vabs( Y, U, T ), Z ), ! W =
% 6.87/7.25 vreduce( Z ), visSomeExp( W ), ! visValue( Z ), ! V0 = vreduce( X ), V0 =
% 6.87/7.25 vsomeExp( vsubst( Y, Z, T ) ) }.
% 6.87/7.25 (20336) {G0,W23,D4,L6,V7,M6} { ! Y = vapp( vabs( Z, T, U ), X ), ! W =
% 6.87/7.25 vreduce( X ), visSomeExp( W ), visValue( X ), ! V0 = vreduce( Y ), V0 =
% 6.87/7.25 vnoExp }.
% 6.87/7.25 (20337) {G0,W31,D5,L6,V5,M6} { ! Y = vapp( X, Z ), X = vabs( skol22( X ),
% 6.87/7.25 skol46( X ), skol64( X ) ), ! T = vreduce( X ), ! visSomeExp( T ), ! U =
% 6.87/7.25 vreduce( Y ), U = vsomeExp( vapp( vgetSomeExp( T ), Z ) ) }.
% 6.87/7.25 (20338) {G0,W27,D4,L6,V5,M6} { ! Y = vapp( X, Z ), X = vabs( skol23( X ),
% 6.87/7.25 skol47( X ), skol65( X ) ), ! T = vreduce( X ), visSomeExp( T ), ! U =
% 6.87/7.25 vreduce( Y ), U = vnoExp }.
% 6.87/7.25 (20339) {G0,W8,D3,L2,V3,M2} { alpha3( X, Y ), alpha13( Y, skol24( Z, Y ) )
% 6.87/7.25 }.
% 6.87/7.25 (20340) {G0,W8,D3,L2,V2,M2} { alpha3( X, Y ), alpha7( X, skol24( X, Y ) )
% 6.87/7.25 }.
% 6.87/7.25 (20341) {G0,W7,D3,L2,V4,M2} { ! alpha13( X, Y ), ! visSomeExp( skol25( Z,
% 6.87/7.25 T ) ) }.
% 6.87/7.25 (20342) {G0,W9,D3,L2,V3,M2} { ! alpha13( X, Y ), skol25( Z, Y ) = vreduce
% 6.87/7.25 ( Y ) }.
% 6.87/7.25 (20343) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), X = vnoExp }.
% 6.87/7.25 (20344) {G0,W12,D3,L4,V3,M4} { ! Z = vreduce( Y ), visSomeExp( Z ), ! X =
% 6.87/7.25 vnoExp, alpha13( X, Y ) }.
% 6.87/7.25 (20345) {G0,W10,D4,L2,V2,M2} { ! alpha7( X, Y ), X = vapp( Y, skol26( X, Y
% 6.87/7.25 ) ) }.
% 6.87/7.25 (20346) {G0,W9,D3,L2,V5,M2} { ! alpha7( X, Y ), ! Y = vabs( Z, T, U ) }.
% 6.87/7.25 (20347) {G0,W17,D4,L3,V3,M3} { ! X = vapp( Y, Z ), Y = vabs( skol48( Y ),
% 6.87/7.25 skol66( Y ), skol77( Y ) ), alpha7( X, Y ) }.
% 6.87/7.25 (20348) {G0,W9,D2,L3,V2,M3} { ! alpha3( X, Y ), alpha8( X, Y ), alpha14( X
% 6.87/7.25 , Y ) }.
% 6.87/7.25 (20349) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ), alpha3( X, Y ) }.
% 6.87/7.25 (20350) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), alpha3( X, Y ) }.
% 6.87/7.25 (20351) {G0,W11,D3,L2,V2,M2} { ! alpha14( X, Y ), alpha24( X, skol27( X, Y
% 6.87/7.25 ), skol49( X, Y ) ) }.
% 6.87/7.25 (20352) {G0,W10,D3,L2,V2,M2} { ! alpha14( X, Y ), alpha19( skol27( X, Y )
% 6.87/7.25 , skol67( X, Y ) ) }.
% 6.87/7.25 (20353) {G0,W14,D6,L2,V2,M2} { ! alpha14( X, Y ), Y = vsomeExp( vapp(
% 6.87/7.25 vgetSomeExp( skol67( X, Y ) ), skol49( X, Y ) ) ) }.
% 6.87/7.25 (20354) {G0,W17,D5,L4,V5,M4} { ! alpha24( X, Z, T ), ! alpha19( Z, U ), !
% 6.87/7.25 Y = vsomeExp( vapp( vgetSomeExp( U ), T ) ), alpha14( X, Y ) }.
% 6.87/7.25 (20355) {G0,W9,D3,L2,V3,M2} { ! alpha24( X, Y, Z ), X = vapp( Y, Z ) }.
% 6.87/7.25 (20356) {G0,W10,D3,L2,V6,M2} { ! alpha24( X, Y, Z ), ! Y = vabs( T, U, W )
% 6.87/7.25 }.
% 6.87/7.25 (20357) {G0,W18,D4,L3,V3,M3} { ! X = vapp( Y, Z ), Y = vabs( skol28( Y ),
% 6.87/7.25 skol50( Y ), skol68( Y ) ), alpha24( X, Y, Z ) }.
% 6.87/7.25 (20358) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), Y = vreduce( X ) }.
% 6.87/7.25 (20359) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), visSomeExp( Y ) }.
% 6.87/7.25 (20360) {G0,W9,D3,L3,V2,M3} { ! Y = vreduce( X ), ! visSomeExp( Y ),
% 6.87/7.25 alpha19( X, Y ) }.
% 6.87/7.25 (20361) {G0,W9,D2,L3,V2,M3} { ! alpha8( X, Y ), alpha15( X, Y ), alpha20(
% 6.87/7.25 X, Y ) }.
% 6.87/7.25 (20362) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), alpha8( X, Y ) }.
% 6.87/7.25 (20363) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), alpha8( X, Y ) }.
% 6.87/7.25 (20364) {G0,W8,D3,L2,V3,M2} { ! alpha20( X, Y ), alpha25( Y, skol29( Z, Y
% 6.87/7.25 ) ) }.
% 6.87/7.25 (20365) {G0,W19,D5,L2,V2,M2} { ! alpha20( X, Y ), X = vapp( vabs( skol51(
% 6.87/7.25 X, Y ), skol69( X, Y ), skol78( X, Y ) ), skol29( X, Y ) ) }.
% 6.87/7.25 (20366) {G0,W14,D4,L3,V6,M3} { ! X = vapp( vabs( T, U, W ), Z ), ! alpha25
% 6.87/7.25 ( Y, Z ), alpha20( X, Y ) }.
% 6.87/7.25 (20367) {G0,W8,D3,L2,V3,M2} { ! alpha25( X, Y ), alpha29( Y, skol30( Z, Y
% 6.87/7.25 ) ) }.
% 6.87/7.25 (20368) {G0,W6,D2,L2,V2,M2} { ! alpha25( X, Y ), X = vnoExp }.
% 6.87/7.25 (20369) {G0,W9,D2,L3,V3,M3} { ! alpha29( Y, Z ), ! X = vnoExp, alpha25( X
% 6.87/7.25 , Y ) }.
% 6.87/7.25 (20370) {G0,W7,D3,L2,V2,M2} { ! alpha29( X, Y ), Y = vreduce( X ) }.
% 6.87/7.25 (20371) {G0,W5,D2,L2,V2,M2} { ! alpha29( X, Y ), ! visSomeExp( Y ) }.
% 6.87/7.25 (20372) {G0,W5,D2,L2,V2,M2} { ! alpha29( X, Y ), ! visValue( X ) }.
% 6.87/7.25 (20373) {G0,W11,D3,L4,V2,M4} { ! Y = vreduce( X ), visSomeExp( Y ),
% 6.87/7.25 visValue( X ), alpha29( X, Y ) }.
% 6.87/7.25 (20374) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), alpha21( X, Y ), alpha26
% 6.87/7.25 ( X, Y ) }.
% 6.87/7.25 (20375) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), alpha15( X, Y ) }.
% 6.87/7.25 (20376) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), alpha15( X, Y ) }.
% 6.87/7.25 (20377) {G0,W19,D5,L2,V2,M2} { ! alpha26( X, Y ), X = vapp( vabs( skol31(
% 6.87/7.25 X, Y ), skol79( X, Y ), skol70( X, Y ) ), skol52( X, Y ) ) }.
% 6.87/7.25 (20378) {G0,W10,D3,L2,V2,M2} { ! alpha26( X, Y ), alpha30( skol52( X, Y )
% 6.87/7.25 , skol83( X, Y ) ) }.
% 6.87/7.25 (20379) {G0,W16,D5,L2,V2,M2} { ! alpha26( X, Y ), Y = vsomeExp( vsubst(
% 6.87/7.25 skol31( X, Y ), skol52( X, Y ), skol70( X, Y ) ) ) }.
% 6.87/7.25 (20380) {G0,W21,D4,L4,V7,M4} { ! X = vapp( vabs( Z, W, U ), T ), ! alpha30
% 6.87/7.25 ( T, V0 ), ! Y = vsomeExp( vsubst( Z, T, U ) ), alpha26( X, Y ) }.
% 6.87/7.25 (20381) {G0,W7,D3,L2,V2,M2} { ! alpha30( X, Y ), Y = vreduce( X ) }.
% 6.87/7.25 (20382) {G0,W5,D2,L2,V2,M2} { ! alpha30( X, Y ), ! visSomeExp( Y ) }.
% 6.87/7.25 (20383) {G0,W5,D2,L2,V2,M2} { ! alpha30( X, Y ), visValue( X ) }.
% 6.87/7.25 (20384) {G0,W11,D3,L4,V2,M4} { ! Y = vreduce( X ), visSomeExp( Y ), !
% 6.87/7.25 visValue( X ), alpha30( X, Y ) }.
% 6.87/7.25 (20385) {G0,W9,D2,L3,V2,M3} { ! alpha21( X, Y ), alpha27( X, Y ), alpha31
% 6.87/7.25 ( X, Y ) }.
% 6.87/7.25 (20386) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), alpha21( X, Y ) }.
% 6.87/7.25 (20387) {G0,W6,D2,L2,V2,M2} { ! alpha31( X, Y ), alpha21( X, Y ) }.
% 6.87/7.25 (20388) {G0,W19,D5,L2,V2,M2} { ! alpha31( X, Y ), X = vapp( vabs( skol53(
% 6.87/7.25 X, Y ), skol71( X, Y ), skol80( X, Y ) ), skol32( X, Y ) ) }.
% 6.87/7.25 (20389) {G0,W10,D3,L2,V2,M2} { ! alpha31( X, Y ), alpha35( skol32( X, Y )
% 6.87/7.25 , skol84( X, Y ) ) }.
% 6.87/7.25 (20390) {G0,W21,D6,L2,V2,M2} { ! alpha31( X, Y ), Y = vsomeExp( vapp( vabs
% 6.87/7.25 ( skol53( X, Y ), skol71( X, Y ), skol80( X, Y ) ), vgetSomeExp( skol84(
% 6.87/7.25 X, Y ) ) ) ) }.
% 6.87/7.25 (20391) {G0,W24,D5,L4,V7,M4} { ! X = vapp( vabs( T, U, W ), Z ), ! alpha35
% 6.87/7.25 ( Z, V0 ), ! Y = vsomeExp( vapp( vabs( T, U, W ), vgetSomeExp( V0 ) ) ),
% 6.87/7.25 alpha31( X, Y ) }.
% 6.87/7.25 (20392) {G0,W7,D3,L2,V2,M2} { ! alpha35( X, Y ), Y = vreduce( X ) }.
% 6.87/7.25 (20393) {G0,W5,D2,L2,V2,M2} { ! alpha35( X, Y ), visSomeExp( Y ) }.
% 6.87/7.25 (20394) {G0,W9,D3,L3,V2,M3} { ! Y = vreduce( X ), ! visSomeExp( Y ),
% 6.87/7.25 alpha35( X, Y ) }.
% 6.87/7.25 (20395) {G0,W15,D4,L3,V2,M3} { ! alpha27( X, Y ), alpha32( X, Y ), X =
% 6.87/7.25 vabs( skol33( X ), skol54( X ), skol72( X ) ) }.
% 6.87/7.25 (20396) {G0,W9,D2,L3,V2,M3} { ! alpha27( X, Y ), alpha32( X, Y ), Y =
% 6.87/7.25 vnoExp }.
% 6.87/7.25 (20397) {G0,W6,D2,L2,V2,M2} { ! alpha32( X, Y ), alpha27( X, Y ) }.
% 6.87/7.25 (20398) {G0,W12,D3,L3,V5,M3} { ! X = vabs( Z, T, U ), ! Y = vnoExp,
% 6.87/7.25 alpha27( X, Y ) }.
% 6.87/7.25 (20399) {G0,W12,D4,L3,V2,M3} { ! alpha32( X, Y ), ! vreduce( X ) = Y, X =
% 6.87/7.25 vvar( skol34( X ) ) }.
% 6.87/7.25 (20400) {G0,W10,D3,L3,V2,M3} { ! alpha32( X, Y ), ! vreduce( X ) = Y, Y =
% 6.87/7.25 vnoExp }.
% 6.87/7.25 (20401) {G0,W7,D3,L2,V2,M2} { vreduce( X ) = Y, alpha32( X, Y ) }.
% 6.87/7.25 (20402) {G0,W10,D3,L3,V3,M3} { ! X = vvar( Z ), ! Y = vnoExp, alpha32( X,
% 6.87/7.25 Y ) }.
% 6.87/7.25 (20403) {G0,W10,D3,L2,V4,M2} { ! varrow( X, Y ) = varrow( Z, T ), X = Z
% 6.87/7.25 }.
% 6.87/7.25 (20404) {G0,W10,D3,L2,V4,M2} { ! varrow( X, Y ) = varrow( Z, T ), Y = T
% 6.87/7.25 }.
% 6.87/7.25 (20405) {G0,W13,D3,L3,V4,M3} { ! X = Z, ! Y = T, varrow( X, Y ) = varrow(
% 6.87/7.25 Z, T ) }.
% 6.87/7.25 (20406) {G0,W11,D3,L2,V3,M2} { ! vlookup( Y, X ) = vsomeType( Z ), vtcheck
% 6.87/7.25 ( X, vvar( Y ), Z ) }.
% 6.87/7.25 (20407) {G0,W16,D3,L2,V5,M2} { ! vtcheck( vbind( Y, T, X ), Z, U ),
% 6.87/7.25 vtcheck( X, vabs( Y, T, Z ), varrow( T, U ) ) }.
% 6.91/7.30 (20408) {G0,W16,D3,L3,V5,M3} { ! vtcheck( X, Y, varrow( U, T ) ), !
% 6.91/7.30 vtcheck( X, Z, U ), vtcheck( X, vapp( Y, Z ), T ) }.
% 6.91/7.30 (20409) {G0,W15,D4,L2,V3,M2} { alpha4( X, Y, Z ), X = vapp( skol35( X, Y,
% 6.91/7.30 Z ), skol55( X, Y, Z ) ) }.
% 6.91/7.30 (20410) {G0,W16,D4,L2,V3,M2} { alpha4( X, Y, Z ), vtcheck( Z, skol35( X, Y
% 6.91/7.30 , Z ), varrow( skol73( X, Y, Z ), Y ) ) }.
% 6.91/7.30 (20411) {G0,W14,D3,L2,V3,M2} { alpha4( X, Y, Z ), vtcheck( Z, skol55( X, Y
% 6.91/7.30 , Z ), skol73( X, Y, Z ) ) }.
% 6.91/7.30 (20412) {G0,W12,D2,L3,V3,M3} { ! alpha4( X, Y, Z ), alpha9( X, Y, Z ),
% 6.91/7.30 alpha16( X, Y, Z ) }.
% 6.91/7.30 (20413) {G0,W8,D2,L2,V3,M2} { ! alpha9( X, Y, Z ), alpha4( X, Y, Z ) }.
% 6.91/7.30 (20414) {G0,W8,D2,L2,V3,M2} { ! alpha16( X, Y, Z ), alpha4( X, Y, Z ) }.
% 6.91/7.30 (20415) {G0,W19,D4,L2,V3,M2} { ! alpha16( X, Y, Z ), X = vabs( skol36( X,
% 6.91/7.30 Y, Z ), skol74( X, Y, Z ), skol56( X, Y, Z ) ) }.
% 6.91/7.30 (20416) {G0,W15,D4,L2,V3,M2} { ! alpha16( X, Y, Z ), Y = varrow( skol74( X
% 6.91/7.30 , Y, Z ), skol81( X, Y, Z ) ) }.
% 6.91/7.30 (20417) {G0,W23,D4,L2,V3,M2} { ! alpha16( X, Y, Z ), vtcheck( vbind(
% 6.91/7.30 skol36( X, Y, Z ), skol74( X, Y, Z ), Z ), skol56( X, Y, Z ), skol81( X,
% 6.91/7.30 Y, Z ) ) }.
% 6.91/7.30 (20418) {G0,W22,D3,L4,V7,M4} { ! X = vabs( T, W, U ), ! Y = varrow( W, V0
% 6.91/7.30 ), ! vtcheck( vbind( T, W, Z ), U, V0 ), alpha16( X, Y, Z ) }.
% 6.91/7.30 (20419) {G0,W15,D4,L3,V5,M3} { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ),
% 6.91/7.30 X = vvar( skol37( X, T, U ) ) }.
% 6.91/7.30 (20420) {G0,W17,D4,L3,V3,M3} { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ),
% 6.91/7.30 vlookup( skol37( X, Y, Z ), Z ) = vsomeType( Y ) }.
% 6.91/7.30 (20421) {G0,W8,D2,L2,V3,M2} { vtcheck( Z, X, Y ), alpha9( X, Y, Z ) }.
% 6.91/7.30 (20422) {G0,W14,D3,L3,V4,M3} { ! X = vvar( T ), ! vlookup( T, Z ) =
% 6.91/7.30 vsomeType( Y ), alpha9( X, Y, Z ) }.
% 6.91/7.30 (20423) {G0,W3,D2,L1,V1,M1} { valphaEquivalent( X, X ) }.
% 6.91/7.30 (20424) {G0,W6,D2,L2,V2,M2} { ! valphaEquivalent( Y, X ), valphaEquivalent
% 6.91/7.30 ( X, Y ) }.
% 6.91/7.30 (20425) {G0,W9,D2,L3,V3,M3} { ! valphaEquivalent( X, Z ), !
% 6.91/7.30 valphaEquivalent( Z, Y ), valphaEquivalent( X, Y ) }.
% 6.91/7.30 (20426) {G0,W16,D5,L2,V4,M2} { visFreeVar( X, Y ), valphaEquivalent( vabs
% 6.91/7.30 ( T, Z, Y ), vabs( X, Z, vsubst( T, vvar( X ), Y ) ) ) }.
% 6.91/7.30 (20427) {G0,W11,D2,L3,V4,M3} { ! vtcheck( X, T, Z ), ! valphaEquivalent( T
% 6.91/7.30 , Y ), vtcheck( X, Y, Z ) }.
% 6.91/7.30 (20428) {G0,W9,D2,L3,V3,M3} { visFreeVar( X, Z ), ! valphaEquivalent( Z, Y
% 6.91/7.30 ), ! visFreeVar( X, Y ) }.
% 6.91/7.30 (20429) {G0,W16,D3,L3,V5,M3} { ! vlookup( X, Y ) = vnoType, ! vtcheck( Y,
% 6.91/7.30 Z, T ), vtcheck( vbind( X, U, Y ), Z, T ) }.
% 6.91/7.30 (20430) {G0,W14,D3,L3,V5,M3} { visFreeVar( T, Y ), ! vtcheck( vbind( T, U
% 6.91/7.30 , X ), Y, Z ), vtcheck( X, Y, Z ) }.
% 6.91/7.30 (20431) {G0,W14,D3,L3,V5,M3} { visFreeVar( X, Z ), ! vtcheck( Y, Z, T ),
% 6.91/7.30 vtcheck( vbind( X, U, Y ), Z, T ) }.
% 6.91/7.30 (20432) {G0,W30,D4,L5,V8,M5} { Y = T, visFreeVar( T, Z ), ! vtcheck( X, Z
% 6.91/7.30 , V1 ), ! vtcheck( vbind( Y, V1, X ), vabs( T, U, W ), V0 ), vtcheck( X,
% 6.91/7.30 vsubst( Y, Z, vabs( T, U, W ) ), V0 ) }.
% 6.91/7.30 (20433) {G0,W9,D5,L1,V0,M1} { skol57 = vgensym( vapp( vapp( skol75, skol82
% 6.91/7.30 ), vvar( skol38 ) ) ) }.
% 6.91/7.30 (20434) {G0,W3,D2,L1,V0,M1} { skol38 = skol57 }.
% 6.91/7.30
% 6.91/7.30
% 6.91/7.30 Total Proof:
% 6.91/7.30
% 6.91/7.30 subsumption: (15) {G0,W13,D3,L4,V4,M4} I { ! X = T, ! Y = vvar( Z ), ! Z =
% 6.91/7.30 T, visFreeVar( X, Y ) }.
% 6.91/7.30 parent0: (20193) {G0,W13,D3,L4,V4,M4} { ! X = T, ! Y = vvar( Z ), ! Z = T
% 6.91/7.30 , visFreeVar( X, Y ) }.
% 6.91/7.30 substitution0:
% 6.91/7.30 X := X
% 6.91/7.30 Y := Y
% 6.91/7.30 Z := Z
% 6.91/7.30 T := T
% 6.91/7.30 end
% 6.91/7.30 permutation0:
% 6.91/7.30 0 ==> 0
% 6.91/7.30 1 ==> 1
% 6.91/7.30 2 ==> 2
% 6.91/7.30 3 ==> 3
% 6.91/7.30 end
% 6.91/7.30
% 6.91/7.30 subsumption: (21) {G0,W14,D3,L4,V5,M4} I { ! X = T, ! Y = vapp( Z, U ), !
% 6.91/7.30 visFreeVar( T, U ), visFreeVar( X, Y ) }.
% 6.91/7.30 parent0: (20199) {G0,W14,D3,L4,V5,M4} { ! X = T, ! Y = vapp( Z, U ), !
% 6.91/7.30 visFreeVar( T, U ), visFreeVar( X, Y ) }.
% 6.91/7.30 substitution0:
% 6.91/7.30 X := X
% 6.91/7.30 Y := Y
% 6.91/7.30 Z := Z
% 6.91/7.30 T := T
% 6.91/7.30 U := U
% 6.91/7.30 end
% 6.91/7.30 permutation0:
% 6.91/7.30 0 ==> 0
% 6.91/7.30 1 ==> 1
% 6.91/7.30 2 ==> 2
% 6.91/7.30 3 ==> 3
% 6.91/7.30 end
% 6.91/7.30
% 6.91/7.30 subsumption: (62) {G0,W7,D3,L2,V2,M2} I { ! vgensym( Y ) = X, ! visFreeVar
% 6.91/7.30 ( X, Y ) }.
% 6.91/7.30 parent0: (20242) {G0,W7,D3,L2,V2,M2} { ! vgensym( Y ) = X, ! visFreeVar( X
% 6.91/7.30 , Y ) }.
% 6.91/7.30 substitution0:
% 6.91/7.30 X := X
% 6.91/7.30 Y := Y
% 6.91/7.30 end
% 6.91/7.30 permutation0:
% 6.91/7.30 0 ==> 0
% 6.91/7.30 1 ==> 1
% 6.91/7.30 end
% 6.91/7.30
% 6.91/7.30 *** allocated 864960 integers for termspace/termends
% 6.91/7.30 *** allocated 15000 integers for justifications
% 6.91/7.30 *** allocated 22500 integers for justifications
% 7.31/7.70 *** allocated 33750 integers for justifications
% 7.31/7.70 *** allocated 50625 integers for justifications
% 7.31/7.70 *** allocated 75937 integers for justifications
% 7.31/7.70 *** allocated 113905 integers for justifications
% 7.31/7.70 eqswap: (27701) {G0,W9,D5,L1,V0,M1} { vgensym( vapp( vapp( skol75, skol82
% 7.31/7.70 ), vvar( skol38 ) ) ) = skol57 }.
% 7.31/7.70 parent0[0]: (20433) {G0,W9,D5,L1,V0,M1} { skol57 = vgensym( vapp( vapp(
% 7.31/7.70 skol75, skol82 ), vvar( skol38 ) ) ) }.
% 7.31/7.70 substitution0:
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 subsumption: (252) {G0,W9,D5,L1,V0,M1} I { vgensym( vapp( vapp( skol75,
% 7.31/7.70 skol82 ), vvar( skol38 ) ) ) ==> skol57 }.
% 7.31/7.70 parent0: (27701) {G0,W9,D5,L1,V0,M1} { vgensym( vapp( vapp( skol75, skol82
% 7.31/7.70 ), vvar( skol38 ) ) ) = skol57 }.
% 7.31/7.70 substitution0:
% 7.31/7.70 end
% 7.31/7.70 permutation0:
% 7.31/7.70 0 ==> 0
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 *** allocated 1297440 integers for termspace/termends
% 7.31/7.70 eqswap: (34113) {G0,W3,D2,L1,V0,M1} { skol57 = skol38 }.
% 7.31/7.70 parent0[0]: (20434) {G0,W3,D2,L1,V0,M1} { skol38 = skol57 }.
% 7.31/7.70 substitution0:
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 subsumption: (253) {G0,W3,D2,L1,V0,M1} I { skol57 ==> skol38 }.
% 7.31/7.70 parent0: (34113) {G0,W3,D2,L1,V0,M1} { skol57 = skol38 }.
% 7.31/7.70 substitution0:
% 7.31/7.70 end
% 7.31/7.70 permutation0:
% 7.31/7.70 0 ==> 0
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 eqswap: (34114) {G0,W7,D3,L2,V2,M2} { ! Y = vgensym( X ), ! visFreeVar( Y
% 7.31/7.70 , X ) }.
% 7.31/7.70 parent0[0]: (62) {G0,W7,D3,L2,V2,M2} I { ! vgensym( Y ) = X, ! visFreeVar(
% 7.31/7.70 X, Y ) }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := Y
% 7.31/7.70 Y := X
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 eqrefl: (34115) {G0,W4,D3,L1,V1,M1} { ! visFreeVar( vgensym( X ), X ) }.
% 7.31/7.70 parent0[0]: (34114) {G0,W7,D3,L2,V2,M2} { ! Y = vgensym( X ), ! visFreeVar
% 7.31/7.70 ( Y, X ) }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := X
% 7.31/7.70 Y := vgensym( X )
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 subsumption: (395) {G1,W4,D3,L1,V1,M1} Q(62) { ! visFreeVar( vgensym( X ),
% 7.31/7.70 X ) }.
% 7.31/7.70 parent0: (34115) {G0,W4,D3,L1,V1,M1} { ! visFreeVar( vgensym( X ), X ) }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := X
% 7.31/7.70 end
% 7.31/7.70 permutation0:
% 7.31/7.70 0 ==> 0
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 eqswap: (34116) {G0,W14,D3,L4,V5,M4} { ! Y = X, ! Z = vapp( T, U ), !
% 7.31/7.70 visFreeVar( Y, U ), visFreeVar( X, Z ) }.
% 7.31/7.70 parent0[0]: (21) {G0,W14,D3,L4,V5,M4} I { ! X = T, ! Y = vapp( Z, U ), !
% 7.31/7.70 visFreeVar( T, U ), visFreeVar( X, Y ) }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := X
% 7.31/7.70 Y := Z
% 7.31/7.70 Z := T
% 7.31/7.70 T := Y
% 7.31/7.70 U := U
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 resolution: (34119) {G1,W12,D3,L3,V4,M3} { ! Y = vgensym( X ), ! X = vapp
% 7.31/7.70 ( Z, T ), ! visFreeVar( Y, T ) }.
% 7.31/7.70 parent0[0]: (395) {G1,W4,D3,L1,V1,M1} Q(62) { ! visFreeVar( vgensym( X ), X
% 7.31/7.70 ) }.
% 7.31/7.70 parent1[3]: (34116) {G0,W14,D3,L4,V5,M4} { ! Y = X, ! Z = vapp( T, U ), !
% 7.31/7.70 visFreeVar( Y, U ), visFreeVar( X, Z ) }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := X
% 7.31/7.70 end
% 7.31/7.70 substitution1:
% 7.31/7.70 X := vgensym( X )
% 7.31/7.70 Y := Y
% 7.31/7.70 Z := X
% 7.31/7.70 T := Z
% 7.31/7.70 U := T
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 eqswap: (34120) {G1,W12,D3,L3,V4,M3} { ! vgensym( Y ) = X, ! Y = vapp( Z,
% 7.31/7.70 T ), ! visFreeVar( X, T ) }.
% 7.31/7.70 parent0[0]: (34119) {G1,W12,D3,L3,V4,M3} { ! Y = vgensym( X ), ! X = vapp
% 7.31/7.70 ( Z, T ), ! visFreeVar( Y, T ) }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := Y
% 7.31/7.70 Y := X
% 7.31/7.70 Z := Z
% 7.31/7.70 T := T
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 subsumption: (2267) {G2,W12,D3,L3,V4,M3} R(21,395) { ! vgensym( X ) = Y, !
% 7.31/7.70 X = vapp( Z, T ), ! visFreeVar( Y, T ) }.
% 7.31/7.70 parent0: (34120) {G1,W12,D3,L3,V4,M3} { ! vgensym( Y ) = X, ! Y = vapp( Z
% 7.31/7.70 , T ), ! visFreeVar( X, T ) }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := Y
% 7.31/7.70 Y := X
% 7.31/7.70 Z := Z
% 7.31/7.70 T := T
% 7.31/7.70 end
% 7.31/7.70 permutation0:
% 7.31/7.70 0 ==> 0
% 7.31/7.70 1 ==> 1
% 7.31/7.70 2 ==> 2
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 eqswap: (34123) {G2,W12,D3,L3,V4,M3} { ! Y = vgensym( X ), ! X = vapp( Z,
% 7.31/7.70 T ), ! visFreeVar( Y, T ) }.
% 7.31/7.70 parent0[0]: (2267) {G2,W12,D3,L3,V4,M3} R(21,395) { ! vgensym( X ) = Y, ! X
% 7.31/7.70 = vapp( Z, T ), ! visFreeVar( Y, T ) }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := X
% 7.31/7.70 Y := Y
% 7.31/7.70 Z := Z
% 7.31/7.70 T := T
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 eqrefl: (34127) {G0,W9,D4,L2,V3,M2} { ! X = vgensym( vapp( Y, Z ) ), !
% 7.31/7.70 visFreeVar( X, Z ) }.
% 7.31/7.70 parent0[1]: (34123) {G2,W12,D3,L3,V4,M3} { ! Y = vgensym( X ), ! X = vapp
% 7.31/7.70 ( Z, T ), ! visFreeVar( Y, T ) }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := vapp( Y, Z )
% 7.31/7.70 Y := X
% 7.31/7.70 Z := Y
% 7.31/7.70 T := Z
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 eqswap: (34128) {G0,W9,D4,L2,V3,M2} { ! vgensym( vapp( Y, Z ) ) = X, !
% 7.31/7.70 visFreeVar( X, Z ) }.
% 7.31/7.70 parent0[0]: (34127) {G0,W9,D4,L2,V3,M2} { ! X = vgensym( vapp( Y, Z ) ), !
% 7.31/7.70 visFreeVar( X, Z ) }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := X
% 7.31/7.70 Y := Y
% 7.31/7.70 Z := Z
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 subsumption: (2294) {G3,W9,D4,L2,V3,M2} Q(2267) { ! vgensym( vapp( X, Y ) )
% 7.31/7.70 = Z, ! visFreeVar( Z, Y ) }.
% 7.31/7.70 parent0: (34128) {G0,W9,D4,L2,V3,M2} { ! vgensym( vapp( Y, Z ) ) = X, !
% 7.31/7.70 visFreeVar( X, Z ) }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := Z
% 7.31/7.70 Y := X
% 7.31/7.70 Z := Y
% 7.31/7.70 end
% 7.31/7.70 permutation0:
% 7.31/7.70 0 ==> 0
% 7.31/7.70 1 ==> 1
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 eqswap: (34130) {G3,W9,D4,L2,V3,M2} { ! Z = vgensym( vapp( X, Y ) ), !
% 7.31/7.70 visFreeVar( Z, Y ) }.
% 7.31/7.70 parent0[0]: (2294) {G3,W9,D4,L2,V3,M2} Q(2267) { ! vgensym( vapp( X, Y ) )
% 7.31/7.70 = Z, ! visFreeVar( Z, Y ) }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := X
% 7.31/7.70 Y := Y
% 7.31/7.70 Z := Z
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 eqrefl: (34131) {G0,W6,D4,L1,V2,M1} { ! visFreeVar( vgensym( vapp( X, Y )
% 7.31/7.70 ), Y ) }.
% 7.31/7.70 parent0[0]: (34130) {G3,W9,D4,L2,V3,M2} { ! Z = vgensym( vapp( X, Y ) ), !
% 7.31/7.70 visFreeVar( Z, Y ) }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := X
% 7.31/7.70 Y := Y
% 7.31/7.70 Z := vgensym( vapp( X, Y ) )
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 subsumption: (2295) {G4,W6,D4,L1,V2,M1} Q(2294) { ! visFreeVar( vgensym(
% 7.31/7.70 vapp( X, Y ) ), Y ) }.
% 7.31/7.70 parent0: (34131) {G0,W6,D4,L1,V2,M1} { ! visFreeVar( vgensym( vapp( X, Y )
% 7.31/7.70 ), Y ) }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := X
% 7.31/7.70 Y := Y
% 7.31/7.70 end
% 7.31/7.70 permutation0:
% 7.31/7.70 0 ==> 0
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 eqswap: (34132) {G0,W13,D3,L4,V4,M4} { ! Y = X, ! Z = vvar( T ), ! T = Y,
% 7.31/7.70 visFreeVar( X, Z ) }.
% 7.31/7.70 parent0[0]: (15) {G0,W13,D3,L4,V4,M4} I { ! X = T, ! Y = vvar( Z ), ! Z = T
% 7.31/7.70 , visFreeVar( X, Y ) }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := X
% 7.31/7.70 Y := Z
% 7.31/7.70 Z := T
% 7.31/7.70 T := Y
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 resolution: (34139) {G1,W13,D4,L3,V4,M3} { ! Z = vgensym( vapp( X, Y ) ),
% 7.31/7.70 ! Y = vvar( T ), ! T = Z }.
% 7.31/7.70 parent0[0]: (2295) {G4,W6,D4,L1,V2,M1} Q(2294) { ! visFreeVar( vgensym(
% 7.31/7.70 vapp( X, Y ) ), Y ) }.
% 7.31/7.70 parent1[3]: (34132) {G0,W13,D3,L4,V4,M4} { ! Y = X, ! Z = vvar( T ), ! T =
% 7.31/7.70 Y, visFreeVar( X, Z ) }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := X
% 7.31/7.70 Y := Y
% 7.31/7.70 end
% 7.31/7.70 substitution1:
% 7.31/7.70 X := vgensym( vapp( X, Y ) )
% 7.31/7.70 Y := Z
% 7.31/7.70 Z := Y
% 7.31/7.70 T := T
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 eqswap: (34140) {G1,W13,D4,L3,V4,M3} { ! vgensym( vapp( Y, Z ) ) = X, ! Z
% 7.31/7.70 = vvar( T ), ! T = X }.
% 7.31/7.70 parent0[0]: (34139) {G1,W13,D4,L3,V4,M3} { ! Z = vgensym( vapp( X, Y ) ),
% 7.31/7.70 ! Y = vvar( T ), ! T = Z }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := Y
% 7.31/7.70 Y := Z
% 7.31/7.70 Z := X
% 7.31/7.70 T := T
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 subsumption: (4778) {G5,W13,D4,L3,V4,M3} R(2295,15) { ! vgensym( vapp( X, Y
% 7.31/7.70 ) ) = Z, ! Y = vvar( T ), ! T = Z }.
% 7.31/7.70 parent0: (34140) {G1,W13,D4,L3,V4,M3} { ! vgensym( vapp( Y, Z ) ) = X, ! Z
% 7.31/7.70 = vvar( T ), ! T = X }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := Z
% 7.31/7.70 Y := X
% 7.31/7.70 Z := Y
% 7.31/7.70 T := T
% 7.31/7.70 end
% 7.31/7.70 permutation0:
% 7.31/7.70 0 ==> 0
% 7.31/7.70 1 ==> 1
% 7.31/7.70 2 ==> 2
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 eqswap: (34156) {G5,W13,D4,L3,V4,M3} { ! Z = vgensym( vapp( X, Y ) ), ! Y
% 7.31/7.70 = vvar( T ), ! T = Z }.
% 7.31/7.70 parent0[0]: (4778) {G5,W13,D4,L3,V4,M3} R(2295,15) { ! vgensym( vapp( X, Y
% 7.31/7.70 ) ) = Z, ! Y = vvar( T ), ! T = Z }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := X
% 7.31/7.70 Y := Y
% 7.31/7.70 Z := Z
% 7.31/7.70 T := T
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 eqrefl: (34164) {G0,W10,D5,L2,V3,M2} { ! X = vgensym( vapp( Y, vvar( Z ) )
% 7.31/7.70 ), ! Z = X }.
% 7.31/7.70 parent0[1]: (34156) {G5,W13,D4,L3,V4,M3} { ! Z = vgensym( vapp( X, Y ) ),
% 7.31/7.70 ! Y = vvar( T ), ! T = Z }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := Y
% 7.31/7.70 Y := vvar( Z )
% 7.31/7.70 Z := X
% 7.31/7.70 T := Z
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 eqswap: (34165) {G0,W10,D5,L2,V3,M2} { ! vgensym( vapp( Y, vvar( Z ) ) ) =
% 7.31/7.70 X, ! Z = X }.
% 7.31/7.70 parent0[0]: (34164) {G0,W10,D5,L2,V3,M2} { ! X = vgensym( vapp( Y, vvar( Z
% 7.31/7.70 ) ) ), ! Z = X }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := X
% 7.31/7.70 Y := Y
% 7.31/7.70 Z := Z
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 subsumption: (4817) {G6,W10,D5,L2,V3,M2} Q(4778) { ! vgensym( vapp( X, vvar
% 7.31/7.70 ( Y ) ) ) = Z, ! Y = Z }.
% 7.31/7.70 parent0: (34165) {G0,W10,D5,L2,V3,M2} { ! vgensym( vapp( Y, vvar( Z ) ) )
% 7.31/7.70 = X, ! Z = X }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := Z
% 7.31/7.70 Y := X
% 7.31/7.70 Z := Y
% 7.31/7.70 end
% 7.31/7.70 permutation0:
% 7.31/7.70 0 ==> 0
% 7.31/7.70 1 ==> 1
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 eqswap: (34171) {G6,W10,D5,L2,V3,M2} { ! Z = vgensym( vapp( X, vvar( Y ) )
% 7.31/7.70 ), ! Y = Z }.
% 7.31/7.70 parent0[0]: (4817) {G6,W10,D5,L2,V3,M2} Q(4778) { ! vgensym( vapp( X, vvar
% 7.31/7.70 ( Y ) ) ) = Z, ! Y = Z }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := X
% 7.31/7.70 Y := Y
% 7.31/7.70 Z := Z
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 eqrefl: (34174) {G0,W7,D5,L1,V2,M1} { ! Y = vgensym( vapp( X, vvar( Y ) )
% 7.31/7.70 ) }.
% 7.31/7.70 parent0[0]: (34171) {G6,W10,D5,L2,V3,M2} { ! Z = vgensym( vapp( X, vvar( Y
% 7.31/7.70 ) ) ), ! Y = Z }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := X
% 7.31/7.70 Y := Y
% 7.31/7.70 Z := vgensym( vapp( X, vvar( Y ) ) )
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 eqswap: (34175) {G0,W7,D5,L1,V2,M1} { ! vgensym( vapp( Y, vvar( X ) ) ) =
% 7.31/7.70 X }.
% 7.31/7.70 parent0[0]: (34174) {G0,W7,D5,L1,V2,M1} { ! Y = vgensym( vapp( X, vvar( Y
% 7.31/7.70 ) ) ) }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := Y
% 7.31/7.70 Y := X
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 subsumption: (4818) {G7,W7,D5,L1,V2,M1} Q(4817) { ! vgensym( vapp( Y, vvar
% 7.31/7.70 ( X ) ) ) ==> X }.
% 7.31/7.70 parent0: (34175) {G0,W7,D5,L1,V2,M1} { ! vgensym( vapp( Y, vvar( X ) ) ) =
% 7.31/7.70 X }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := X
% 7.31/7.70 Y := Y
% 7.31/7.70 end
% 7.31/7.70 permutation0:
% 7.31/7.70 0 ==> 0
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 paramod: (34179) {G1,W9,D5,L1,V0,M1} { vgensym( vapp( vapp( skol75, skol82
% 7.31/7.70 ), vvar( skol38 ) ) ) ==> skol38 }.
% 7.31/7.70 parent0[0]: (253) {G0,W3,D2,L1,V0,M1} I { skol57 ==> skol38 }.
% 7.31/7.70 parent1[0; 8]: (252) {G0,W9,D5,L1,V0,M1} I { vgensym( vapp( vapp( skol75,
% 7.31/7.70 skol82 ), vvar( skol38 ) ) ) ==> skol57 }.
% 7.31/7.70 substitution0:
% 7.31/7.70 end
% 7.31/7.70 substitution1:
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 resolution: (34180) {G2,W0,D0,L0,V0,M0} { }.
% 7.31/7.70 parent0[0]: (4818) {G7,W7,D5,L1,V2,M1} Q(4817) { ! vgensym( vapp( Y, vvar(
% 7.31/7.70 X ) ) ) ==> X }.
% 7.31/7.70 parent1[0]: (34179) {G1,W9,D5,L1,V0,M1} { vgensym( vapp( vapp( skol75,
% 7.31/7.70 skol82 ), vvar( skol38 ) ) ) ==> skol38 }.
% 7.31/7.70 substitution0:
% 7.31/7.70 X := skol38
% 7.31/7.70 Y := vapp( skol75, skol82 )
% 7.31/7.70 end
% 7.31/7.70 substitution1:
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 subsumption: (20176) {G8,W0,D0,L0,V0,M0} S(252);d(253);r(4818) { }.
% 7.31/7.70 parent0: (34180) {G2,W0,D0,L0,V0,M0} { }.
% 7.31/7.70 substitution0:
% 7.31/7.70 end
% 7.31/7.70 permutation0:
% 7.31/7.70 end
% 7.31/7.70
% 7.31/7.70 Proof check complete!
% 7.31/7.70
% 7.31/7.70 Memory use:
% 7.31/7.70
% 7.31/7.70 space for terms: 541090
% 7.31/7.70 space for clauses: 947281
% 7.31/7.70
% 7.31/7.70
% 7.31/7.70 clauses generated: 131662
% 7.31/7.70 clauses kept: 20177
% 7.31/7.70 clauses selected: 570
% 7.31/7.70 clauses deleted: 603
% 7.31/7.70 clauses inuse deleted: 8
% 7.31/7.70
% 7.31/7.70 subsentry: 3971292
% 7.31/7.70 literals s-matched: 881645
% 7.31/7.70 literals matched: 794469
% 7.31/7.70 full subsumption: 722378
% 7.31/7.70
% 7.31/7.70 checksum: 1564796307
% 7.31/7.70
% 7.31/7.70
% 7.31/7.70 Bliksem ended
%------------------------------------------------------------------------------