%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COM147+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 00:51:37 EDT 2022
% Result : Theorem 0.74s 1.17s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM147+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Thu Jun 16 19:04:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.74/1.13 *** allocated 10000 integers for termspace/termends
% 0.74/1.13 *** allocated 10000 integers for clauses
% 0.74/1.13 *** allocated 10000 integers for justifications
% 0.74/1.13 Bliksem 1.12
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 Automatic Strategy Selection
% 0.74/1.13
% 0.74/1.13 *** allocated 15000 integers for termspace/termends
% 0.74/1.13
% 0.74/1.13 Clauses:
% 0.74/1.13
% 0.74/1.13 { ! vvar( X ) = vvar( Y ), X = Y }.
% 0.74/1.13 { ! X = Y, vvar( X ) = vvar( Y ) }.
% 0.74/1.13 { ! vabs( X, Y, Z ) = vabs( T, U, W ), X = T }.
% 0.74/1.13 { ! vabs( X, Y, Z ) = vabs( T, U, W ), Y = U }.
% 0.74/1.13 { ! vabs( X, Y, Z ) = vabs( T, U, W ), Z = W }.
% 0.74/1.13 { ! X = T, ! Y = U, ! Z = W, vabs( X, Y, Z ) = vabs( T, U, W ) }.
% 0.74/1.13 { ! vapp( X, Y ) = vapp( Z, T ), X = Z }.
% 0.74/1.13 { ! vapp( X, Y ) = vapp( Z, T ), Y = T }.
% 0.74/1.13 { ! X = Z, ! Y = T, vapp( X, Y ) = vapp( Z, T ) }.
% 0.74/1.13 { ! vvar( X ) = vabs( Y, Z, T ) }.
% 0.74/1.13 { ! vvar( X ) = vapp( Y, Z ) }.
% 0.74/1.13 { ! vabs( X, Y, Z ) = vapp( T, U ) }.
% 0.74/1.13 { ! X = vabs( Y, Z, T ), visValue( X ) }.
% 0.74/1.13 { ! X = vvar( Y ), ! visValue( X ) }.
% 0.74/1.13 { ! X = vapp( Y, Z ), ! visValue( X ) }.
% 0.74/1.13 { ! X = T, ! Y = vvar( Z ), ! Z = T, visFreeVar( X, Y ) }.
% 0.74/1.13 { ! X = T, ! Y = vvar( Z ), ! visFreeVar( X, Y ), Z = T }.
% 0.74/1.13 { ! X = T, ! Y = vabs( Z, W, U ), Z = T, ! visFreeVar( T, U ), visFreeVar(
% 0.74/1.13 X, Y ) }.
% 0.74/1.13 { ! X = T, ! Y = vabs( Z, W, U ), ! visFreeVar( X, Y ), ! Z = T }.
% 0.74/1.13 { ! X = T, ! Y = vabs( Z, W, U ), ! visFreeVar( X, Y ), visFreeVar( T, U )
% 0.74/1.13 }.
% 0.74/1.13 { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( T, Z ), visFreeVar( X, Y ) }.
% 0.74/1.13 { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( T, U ), visFreeVar( X, Y ) }.
% 0.74/1.13 { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( X, Y ), visFreeVar( T, Z ),
% 0.74/1.13 visFreeVar( T, U ) }.
% 0.74/1.13 { ! &&, vempty = vempty }.
% 0.74/1.13 { ! vbind( X, Y, Z ) = vbind( T, U, W ), X = T }.
% 0.74/1.13 { ! vbind( X, Y, Z ) = vbind( T, U, W ), Y = U }.
% 0.74/1.13 { ! vbind( X, Y, Z ) = vbind( T, U, W ), Z = W }.
% 0.74/1.13 { ! X = T, ! Y = U, ! Z = W, vbind( X, Y, Z ) = vbind( T, U, W ) }.
% 0.74/1.13 { ! &&, vnoType = vnoType }.
% 0.74/1.13 { ! vsomeType( X ) = vsomeType( Y ), X = Y }.
% 0.74/1.13 { ! X = Y, vsomeType( X ) = vsomeType( Y ) }.
% 0.74/1.13 { ! vempty = vbind( X, Y, Z ) }.
% 0.74/1.13 { ! vnoType = vsomeType( X ) }.
% 0.74/1.13 { ! X = vnoType, ! visSomeType( X ) }.
% 0.74/1.13 { ! X = vsomeType( Y ), visSomeType( X ) }.
% 0.74/1.13 { ! X = vsomeType( Y ), ! Z = vgetSomeType( X ), Z = Y }.
% 0.74/1.13 { ! X = Z, ! Y = vempty, ! T = vlookup( X, Y ), T = vnoType }.
% 0.74/1.13 { ! Z = X, ! T = vbind( Y, U, W ), ! X = Y, ! V0 = vlookup( Z, T ), V0 =
% 0.74/1.13 vsomeType( U ) }.
% 0.74/1.13 { ! Y = T, ! Z = vbind( X, W, U ), T = X, ! V0 = vlookup( Y, Z ), V0 =
% 0.74/1.13 vlookup( T, U ) }.
% 0.74/1.13 { alpha5( X, Y, Z ), X = skol1( X, T, U ) }.
% 0.74/1.13 { alpha5( X, Y, Z ), alpha10( Y, Z, skol1( X, Y, Z ) ) }.
% 0.74/1.13 { ! alpha10( X, Y, Z ), Y = vlookup( Z, skol40( T, Y, Z ) ) }.
% 0.74/1.13 { ! alpha10( X, Y, Z ), ! Z = skol2( X, Y, Z ) }.
% 0.74/1.13 { ! alpha10( X, Y, Z ), X = vbind( skol2( X, Y, Z ), skol59( X, Y, Z ),
% 0.74/1.13 skol40( X, Y, Z ) ) }.
% 0.74/1.13 { ! X = vbind( T, W, U ), Z = T, ! Y = vlookup( Z, U ), alpha10( X, Y, Z )
% 0.74/1.13 }.
% 0.74/1.13 { ! alpha5( X, Y, Z ), alpha11( X, Y, Z ), alpha17( X, Y, Z ) }.
% 0.74/1.13 { ! alpha11( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.74/1.13 { ! alpha17( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.74/1.13 { ! alpha17( X, Y, Z ), X = skol3( X, T, U ) }.
% 0.74/1.13 { ! alpha17( X, Y, Z ), alpha22( Y, Z, skol3( X, Y, Z ) ) }.
% 0.74/1.13 { ! X = T, ! alpha22( Y, Z, T ), alpha17( X, Y, Z ) }.
% 0.74/1.13 { ! alpha22( X, Y, Z ), Y = vsomeType( skol41( T, Y, U ) ) }.
% 0.74/1.13 { ! alpha22( X, Y, Z ), Z = skol4( X, Y, Z ) }.
% 0.74/1.13 { ! alpha22( X, Y, Z ), X = vbind( skol4( X, Y, Z ), skol41( X, Y, Z ),
% 0.74/1.13 skol60( X, Y, Z ) ) }.
% 0.74/1.13 { ! X = vbind( T, U, W ), ! Z = T, ! Y = vsomeType( U ), alpha22( X, Y, Z )
% 0.74/1.13 }.
% 0.74/1.13 { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z, alpha1( X, Y ) }.
% 0.74/1.13 { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z, Z = vnoType }.
% 0.74/1.13 { vlookup( X, Y ) = Z, alpha11( X, Y, Z ) }.
% 0.74/1.13 { ! alpha1( X, Y ), ! Z = vnoType, alpha11( X, Y, Z ) }.
% 0.74/1.13 { ! alpha1( X, Y ), X = skol5( X ) }.
% 0.74/1.13 { ! alpha1( X, Y ), Y = vempty }.
% 0.74/1.13 { ! X = Z, ! Y = vempty, alpha1( X, Y ) }.
% 0.74/1.13 { ! X = W, ! vtcheck( vbind( X, Y, vbind( W, V0, Z ) ), T, U ), vtcheck(
% 0.74/1.13 vbind( X, Y, Z ), T, U ) }.
% 0.74/1.13 { Z = X, ! vtcheck( vbind( Z, T, vbind( X, Y, U ) ), W, V0 ), vtcheck(
% 0.74/1.13 vbind( X, Y, vbind( Z, T, U ) ), W, V0 ) }.
% 0.74/1.13 { ! vgensym( Y ) = X, ! visFreeVar( X, Y ) }.
% 0.74/1.13 { ! Z = X, ! T = W, ! U = vvar( Y ), ! X = Y, ! V0 = vsubst( Z, T, U ), V0
% 0.74/1.13 = W }.
% 0.74/1.13 { ! Y = X, ! Z = W, ! T = vvar( U ), X = U, ! V0 = vsubst( Y, Z, T ), V0 =
% 0.74/1.13 vvar( U ) }.
% 0.74/1.13 { ! X = U, ! Y = W, ! Z = vapp( T, V0 ), ! V1 = vsubst( X, Y, Z ), V1 =
% 0.74/1.13 vapp( vsubst( U, W, T ), vsubst( U, W, V0 ) ) }.
% 0.74/1.13 { ! Y = X, ! Z = V1, ! T = vabs( U, W, V0 ), ! X = U, ! V2 = vsubst( Y, Z,
% 0.74/1.13 T ), V2 = vabs( U, W, V0 ) }.
% 0.74/1.13 { ! X = T, ! Y = U, ! Z = vabs( V0, W, V1 ), T = V0, ! visFreeVar( V0, U )
% 0.74/1.13 , ! V2 = vgensym( vapp( vapp( U, V1 ), vvar( T ) ) ), ! V3 = vsubst( X, Y
% 0.74/1.13 , Z ), V3 = vsubst( T, U, vabs( V2, W, vsubst( V0, vvar( V2 ), V1 ) ) ) }
% 0.74/1.13 .
% 0.74/1.13 { ! X = W, ! Y = V0, ! Z = vabs( T, U, V1 ), W = T, visFreeVar( T, V0 ), !
% 0.74/1.13 V2 = vsubst( X, Y, Z ), V2 = vabs( T, U, vsubst( W, V0, V1 ) ) }.
% 0.74/1.13 { alpha28( X, Y, Z, T ), X = skol6( X, U, W, V0 ) }.
% 0.74/1.13 { alpha28( X, Y, Z, T ), alpha33( Y, Z, T, skol6( X, Y, Z, T ) ) }.
% 0.74/1.13 { ! alpha33( X, Y, Z, T ), X = skol7( X, U, W, V0 ) }.
% 0.74/1.13 { ! alpha33( X, Y, Z, T ), alpha36( Y, Z, T, skol7( X, Y, Z, T ) ) }.
% 0.74/1.13 { ! X = U, ! alpha36( Y, Z, T, U ), alpha33( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha36( X, Y, Z, T ), alpha39( X, Z, skol8( X, Y, Z, T ), skol42( X, Y
% 0.74/1.13 , Z, T ), skol61( X, Y, Z, T ) ) }.
% 0.74/1.13 { ! alpha36( X, Y, Z, T ), ! visFreeVar( skol8( X, Y, Z, T ), T ) }.
% 0.74/1.13 { ! alpha36( X, Y, Z, T ), Y = vabs( skol8( X, Y, Z, T ), skol42( X, Y, Z,
% 0.74/1.13 T ), vsubst( Z, T, skol61( X, Y, Z, T ) ) ) }.
% 0.74/1.13 { ! alpha39( X, Z, U, W, V0 ), visFreeVar( U, T ), ! Y = vabs( U, W, vsubst
% 0.74/1.13 ( Z, T, V0 ) ), alpha36( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha39( X, Y, Z, T, U ), X = vabs( Z, T, U ) }.
% 0.74/1.13 { ! alpha39( X, Y, Z, T, U ), ! Y = Z }.
% 0.74/1.13 { ! X = vabs( Z, T, U ), Y = Z, alpha39( X, Y, Z, T, U ) }.
% 0.74/1.13 { ! alpha28( X, Y, Z, T ), alpha34( X, Y, Z, T ), alpha37( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha34( X, Y, Z, T ), alpha28( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha37( X, Y, Z, T ), alpha28( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha37( X, Y, Z, T ), X = skol9( X, U, W, V0 ) }.
% 0.74/1.13 { ! alpha37( X, Y, Z, T ), alpha40( Y, Z, T, skol9( X, Y, Z, T ) ) }.
% 0.74/1.13 { ! X = U, ! alpha40( Y, Z, T, U ), alpha37( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha40( X, Y, Z, T ), X = skol10( X, U, W, V0 ) }.
% 0.74/1.13 { ! alpha40( X, Y, Z, T ), alpha42( Y, Z, T, skol10( X, Y, Z, T ) ) }.
% 0.74/1.13 { ! X = U, ! alpha42( Y, Z, T, U ), alpha40( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha42( X, Y, Z, T ), alpha48( X, Z, T, skol11( X, Y, Z, T ), skol43(
% 0.74/1.13 X, Y, Z, T ), skol62( X, Y, Z, T ) ) }.
% 0.74/1.13 { ! alpha42( X, Y, Z, T ), skol77( X, Y, Z, T ) = vgensym( vapp( vapp( T,
% 0.74/1.13 skol62( X, Y, Z, T ) ), vvar( Z ) ) ) }.
% 0.74/1.13 { ! alpha42( X, Y, Z, T ), Y = vsubst( Z, T, vabs( skol77( X, Y, Z, T ),
% 0.74/1.13 skol11( X, Y, Z, T ), vsubst( skol43( X, Y, Z, T ), vvar( skol77( X, Y, Z
% 0.74/1.13 , T ) ), skol62( X, Y, Z, T ) ) ) ) }.
% 0.74/1.13 { ! alpha48( X, Z, T, U, W, V0 ), ! V1 = vgensym( vapp( vapp( T, V0 ), vvar
% 0.74/1.13 ( Z ) ) ), ! Y = vsubst( Z, T, vabs( V1, U, vsubst( W, vvar( V1 ), V0 ) )
% 0.74/1.13 ), alpha42( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha48( X, Y, Z, T, U, W ), alpha45( X, Y, T, U, W ) }.
% 0.74/1.13 { ! alpha48( X, Y, Z, T, U, W ), visFreeVar( U, Z ) }.
% 0.74/1.13 { ! alpha45( X, Y, T, U, W ), ! visFreeVar( U, Z ), alpha48( X, Y, Z, T, U
% 0.74/1.13 , W ) }.
% 0.74/1.13 { ! alpha45( X, Y, Z, T, U ), X = vabs( T, Z, U ) }.
% 0.74/1.13 { ! alpha45( X, Y, Z, T, U ), ! Y = T }.
% 0.74/1.13 { ! X = vabs( T, Z, U ), Y = T, alpha45( X, Y, Z, T, U ) }.
% 0.74/1.13 { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z, T ), alpha23( Z, T, skol12( U
% 0.74/1.13 , W, Z, T ) ) }.
% 0.74/1.13 { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z, T ), alpha18( X, Y, skol12( X
% 0.74/1.13 , Y, Z, T ) ) }.
% 0.74/1.13 { ! alpha38( X, Y, Z, T ), alpha34( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha18( X, Y, U ), ! alpha23( Z, T, U ), alpha34( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha38( X, Y, Z, T ), alpha41( X, Y, Z, T ), alpha43( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha41( X, Y, Z, T ), alpha38( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha43( X, Y, Z, T ), alpha38( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha43( X, Y, Z, T ), X = skol13( X, U, W, V0 ) }.
% 0.74/1.13 { ! alpha43( X, Y, Z, T ), alpha46( Y, Z, T, skol13( X, Y, Z, T ) ) }.
% 0.74/1.13 { ! X = U, ! alpha46( Y, Z, T, U ), alpha43( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha46( X, Y, Z, T ), X = skol14( X, U, W, V0 ) }.
% 0.74/1.13 { ! alpha46( X, Y, Z, T ), Y = vapp( skol44( X, Y, Z, T ), skol63( X, Y, Z
% 0.74/1.13 , T ) ) }.
% 0.74/1.13 { ! alpha46( X, Y, Z, T ), Z = vapp( vsubst( T, skol14( X, Y, Z, T ),
% 0.74/1.13 skol44( X, Y, Z, T ) ), vsubst( T, skol14( X, Y, Z, T ), skol63( X, Y, Z
% 0.74/1.13 , T ) ) ) }.
% 0.74/1.13 { ! X = U, ! Y = vapp( W, V0 ), ! Z = vapp( vsubst( T, U, W ), vsubst( T, U
% 0.74/1.13 , V0 ) ), alpha46( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z, T ), alpha12( Z, T, skol15( U
% 0.74/1.13 , W, Z, T ) ) }.
% 0.74/1.13 { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z, T ), alpha6( X, Y, skol15( X,
% 0.74/1.13 Y, Z, T ) ) }.
% 0.74/1.13 { ! alpha44( X, Y, Z, T ), alpha41( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha6( X, Y, U ), ! alpha12( Z, T, U ), alpha41( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha44( X, Y, Z, T ), ! vsubst( X, Y, Z ) = T, alpha47( X, Y, Z, T ) }
% 0.74/1.13 .
% 0.74/1.13 { vsubst( X, Y, Z ) = T, alpha44( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha47( X, Y, Z, T ), alpha44( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha47( X, Y, Z, T ), X = skol16( X, U, W, V0 ) }.
% 0.74/1.13 { ! alpha47( X, Y, Z, T ), alpha49( Y, Z, T, skol16( X, Y, Z, T ) ) }.
% 0.74/1.13 { ! X = U, ! alpha49( Y, Z, T, U ), alpha47( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha49( X, Y, Z, T ), X = skol17( X, U, W, V0 ) }.
% 0.74/1.13 { ! alpha49( X, Y, Z, T ), alpha2( Y, T, skol45( U, Y, W, T ) ) }.
% 0.74/1.13 { ! alpha49( X, Y, Z, T ), Z = skol17( X, Y, Z, T ) }.
% 0.74/1.13 { ! X = U, ! alpha2( Y, T, W ), ! Z = U, alpha49( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha23( X, Y, Z ), X = vabs( skol18( X, Y, Z ), skol46( X, Y, Z ),
% 0.74/1.13 skol64( X, Y, Z ) ) }.
% 0.74/1.13 { ! alpha23( X, Y, Z ), Z = skol18( X, Y, Z ) }.
% 0.74/1.13 { ! alpha23( X, Y, Z ), Y = vabs( skol18( X, Y, Z ), skol46( X, Y, Z ),
% 0.74/1.13 skol64( X, Y, Z ) ) }.
% 0.74/1.13 { ! X = vabs( T, U, W ), ! Z = T, ! Y = vabs( T, U, W ), alpha23( X, Y, Z )
% 0.74/1.13 }.
% 0.74/1.13 { ! alpha18( X, Y, Z ), X = Z }.
% 0.74/1.13 { ! alpha18( X, Y, Z ), Y = skol19( Y ) }.
% 0.74/1.13 { ! X = Z, ! Y = T, alpha18( X, Y, Z ) }.
% 0.74/1.13 { ! alpha12( X, Y, Z ), ! Z = skol20( T, U, Z ) }.
% 0.74/1.13 { ! alpha12( X, Y, Z ), Y = vvar( skol20( T, Y, Z ) ) }.
% 0.74/1.13 { ! alpha12( X, Y, Z ), X = vvar( skol20( X, Y, Z ) ) }.
% 0.74/1.13 { ! X = vvar( T ), Z = T, ! Y = vvar( T ), alpha12( X, Y, Z ) }.
% 0.74/1.13 { ! alpha6( X, Y, Z ), X = Z }.
% 0.74/1.13 { ! alpha6( X, Y, Z ), Y = skol21( Y ) }.
% 0.74/1.13 { ! X = Z, ! Y = T, alpha6( X, Y, Z ) }.
% 0.74/1.13 { ! alpha2( X, Y, Z ), X = vvar( Z ) }.
% 0.74/1.13 { ! alpha2( X, Y, Z ), Y = Z }.
% 0.74/1.13 { ! X = vvar( Z ), ! Y = Z, alpha2( X, Y, Z ) }.
% 0.74/1.13 { ! &&, vnoExp = vnoExp }.
% 0.74/1.13 { ! vsomeExp( X ) = vsomeExp( Y ), X = Y }.
% 0.74/1.13 { ! X = Y, vsomeExp( X ) = vsomeExp( Y ) }.
% 0.74/1.13 { ! vnoExp = vsomeExp( X ) }.
% 0.74/1.13 { ! X = vnoExp, ! visSomeExp( X ) }.
% 0.74/1.13 { ! X = vsomeExp( Y ), visSomeExp( X ) }.
% 0.74/1.13 { ! X = vsomeExp( Y ), ! Z = vgetSomeExp( X ), Z = Y }.
% 0.74/1.13 { ! X = vvar( Y ), ! Z = vreduce( X ), Z = vnoExp }.
% 0.74/1.13 { ! X = vabs( Y, Z, T ), ! U = vreduce( X ), U = vnoExp }.
% 0.74/1.13 { ! Y = vapp( vabs( Z, T, U ), X ), ! W = vreduce( X ), ! visSomeExp( W ),
% 0.74/1.13 ! V0 = vreduce( Y ), V0 = vsomeExp( vapp( vabs( Z, T, U ), vgetSomeExp( W
% 0.74/1.13 ) ) ) }.
% 0.74/1.13 { ! X = vapp( vabs( Y, U, T ), Z ), ! W = vreduce( Z ), visSomeExp( W ), !
% 0.74/1.13 visValue( Z ), ! V0 = vreduce( X ), V0 = vsomeExp( vsubst( Y, Z, T ) ) }
% 0.74/1.13 .
% 0.74/1.13 { ! Y = vapp( vabs( Z, T, U ), X ), ! W = vreduce( X ), visSomeExp( W ),
% 0.74/1.13 visValue( X ), ! V0 = vreduce( Y ), V0 = vnoExp }.
% 0.74/1.13 { ! Y = vapp( X, Z ), X = vabs( skol22( X ), skol47( X ), skol65( X ) ), !
% 0.74/1.13 T = vreduce( X ), ! visSomeExp( T ), ! U = vreduce( Y ), U = vsomeExp(
% 0.74/1.13 vapp( vgetSomeExp( T ), Z ) ) }.
% 0.74/1.13 { ! Y = vapp( X, Z ), X = vabs( skol23( X ), skol48( X ), skol66( X ) ), !
% 0.74/1.13 T = vreduce( X ), visSomeExp( T ), ! U = vreduce( Y ), U = vnoExp }.
% 0.74/1.13 { alpha3( X, Y ), alpha13( Y, skol24( Z, Y ) ) }.
% 0.74/1.13 { alpha3( X, Y ), alpha7( X, skol24( X, Y ) ) }.
% 0.74/1.13 { ! alpha13( X, Y ), ! visSomeExp( skol25( Z, T ) ) }.
% 0.74/1.13 { ! alpha13( X, Y ), skol25( Z, Y ) = vreduce( Y ) }.
% 0.74/1.13 { ! alpha13( X, Y ), X = vnoExp }.
% 0.74/1.13 { ! Z = vreduce( Y ), visSomeExp( Z ), ! X = vnoExp, alpha13( X, Y ) }.
% 0.74/1.13 { ! alpha7( X, Y ), X = vapp( Y, skol26( X, Y ) ) }.
% 0.74/1.13 { ! alpha7( X, Y ), ! Y = vabs( Z, T, U ) }.
% 0.74/1.13 { ! X = vapp( Y, Z ), Y = vabs( skol49( Y ), skol67( Y ), skol78( Y ) ),
% 0.74/1.13 alpha7( X, Y ) }.
% 0.74/1.13 { ! alpha3( X, Y ), alpha8( X, Y ), alpha14( X, Y ) }.
% 0.74/1.13 { ! alpha8( X, Y ), alpha3( X, Y ) }.
% 0.74/1.13 { ! alpha14( X, Y ), alpha3( X, Y ) }.
% 0.74/1.13 { ! alpha14( X, Y ), alpha24( X, skol27( X, Y ), skol50( X, Y ) ) }.
% 0.74/1.13 { ! alpha14( X, Y ), alpha19( skol27( X, Y ), skol68( X, Y ) ) }.
% 0.74/1.13 { ! alpha14( X, Y ), Y = vsomeExp( vapp( vgetSomeExp( skol68( X, Y ) ),
% 0.74/1.13 skol50( X, Y ) ) ) }.
% 0.74/1.13 { ! alpha24( X, Z, T ), ! alpha19( Z, U ), ! Y = vsomeExp( vapp(
% 0.74/1.13 vgetSomeExp( U ), T ) ), alpha14( X, Y ) }.
% 0.74/1.13 { ! alpha24( X, Y, Z ), X = vapp( Y, Z ) }.
% 0.74/1.13 { ! alpha24( X, Y, Z ), ! Y = vabs( T, U, W ) }.
% 0.74/1.13 { ! X = vapp( Y, Z ), Y = vabs( skol28( Y ), skol51( Y ), skol69( Y ) ),
% 0.74/1.13 alpha24( X, Y, Z ) }.
% 0.74/1.13 { ! alpha19( X, Y ), Y = vreduce( X ) }.
% 0.74/1.13 { ! alpha19( X, Y ), visSomeExp( Y ) }.
% 0.74/1.13 { ! Y = vreduce( X ), ! visSomeExp( Y ), alpha19( X, Y ) }.
% 0.74/1.13 { ! alpha8( X, Y ), alpha15( X, Y ), alpha20( X, Y ) }.
% 0.74/1.13 { ! alpha15( X, Y ), alpha8( X, Y ) }.
% 0.74/1.13 { ! alpha20( X, Y ), alpha8( X, Y ) }.
% 0.74/1.13 { ! alpha20( X, Y ), alpha25( Y, skol29( Z, Y ) ) }.
% 0.74/1.13 { ! alpha20( X, Y ), X = vapp( vabs( skol52( X, Y ), skol70( X, Y ), skol79
% 0.74/1.13 ( X, Y ) ), skol29( X, Y ) ) }.
% 0.74/1.13 { ! X = vapp( vabs( T, U, W ), Z ), ! alpha25( Y, Z ), alpha20( X, Y ) }.
% 0.74/1.13 { ! alpha25( X, Y ), alpha29( Y, skol30( Z, Y ) ) }.
% 0.74/1.13 { ! alpha25( X, Y ), X = vnoExp }.
% 0.74/1.13 { ! alpha29( Y, Z ), ! X = vnoExp, alpha25( X, Y ) }.
% 0.74/1.13 { ! alpha29( X, Y ), Y = vreduce( X ) }.
% 0.74/1.13 { ! alpha29( X, Y ), ! visSomeExp( Y ) }.
% 0.74/1.13 { ! alpha29( X, Y ), ! visValue( X ) }.
% 0.74/1.13 { ! Y = vreduce( X ), visSomeExp( Y ), visValue( X ), alpha29( X, Y ) }.
% 0.74/1.13 { ! alpha15( X, Y ), alpha21( X, Y ), alpha26( X, Y ) }.
% 0.74/1.13 { ! alpha21( X, Y ), alpha15( X, Y ) }.
% 0.74/1.14 { ! alpha26( X, Y ), alpha15( X, Y ) }.
% 0.74/1.14 { ! alpha26( X, Y ), X = vapp( vabs( skol31( X, Y ), skol80( X, Y ), skol71
% 0.74/1.14 ( X, Y ) ), skol53( X, Y ) ) }.
% 0.74/1.14 { ! alpha26( X, Y ), alpha30( skol53( X, Y ), skol83( X, Y ) ) }.
% 0.74/1.14 { ! alpha26( X, Y ), Y = vsomeExp( vsubst( skol31( X, Y ), skol53( X, Y ),
% 0.74/1.14 skol71( X, Y ) ) ) }.
% 0.74/1.14 { ! X = vapp( vabs( Z, W, U ), T ), ! alpha30( T, V0 ), ! Y = vsomeExp(
% 0.74/1.14 vsubst( Z, T, U ) ), alpha26( X, Y ) }.
% 0.74/1.14 { ! alpha30( X, Y ), Y = vreduce( X ) }.
% 0.74/1.14 { ! alpha30( X, Y ), ! visSomeExp( Y ) }.
% 0.74/1.14 { ! alpha30( X, Y ), visValue( X ) }.
% 0.74/1.14 { ! Y = vreduce( X ), visSomeExp( Y ), ! visValue( X ), alpha30( X, Y ) }.
% 0.74/1.14 { ! alpha21( X, Y ), alpha27( X, Y ), alpha31( X, Y ) }.
% 0.74/1.14 { ! alpha27( X, Y ), alpha21( X, Y ) }.
% 0.74/1.14 { ! alpha31( X, Y ), alpha21( X, Y ) }.
% 0.74/1.14 { ! alpha31( X, Y ), X = vapp( vabs( skol54( X, Y ), skol72( X, Y ), skol81
% 0.74/1.14 ( X, Y ) ), skol32( X, Y ) ) }.
% 0.74/1.14 { ! alpha31( X, Y ), alpha35( skol32( X, Y ), skol84( X, Y ) ) }.
% 0.74/1.14 { ! alpha31( X, Y ), Y = vsomeExp( vapp( vabs( skol54( X, Y ), skol72( X, Y
% 0.74/1.14 ), skol81( X, Y ) ), vgetSomeExp( skol84( X, Y ) ) ) ) }.
% 0.74/1.14 { ! X = vapp( vabs( T, U, W ), Z ), ! alpha35( Z, V0 ), ! Y = vsomeExp(
% 0.74/1.14 vapp( vabs( T, U, W ), vgetSomeExp( V0 ) ) ), alpha31( X, Y ) }.
% 0.74/1.14 { ! alpha35( X, Y ), Y = vreduce( X ) }.
% 0.74/1.14 { ! alpha35( X, Y ), visSomeExp( Y ) }.
% 0.74/1.14 { ! Y = vreduce( X ), ! visSomeExp( Y ), alpha35( X, Y ) }.
% 0.74/1.14 { ! alpha27( X, Y ), alpha32( X, Y ), X = vabs( skol33( X ), skol55( X ),
% 0.74/1.14 skol73( X ) ) }.
% 0.74/1.14 { ! alpha27( X, Y ), alpha32( X, Y ), Y = vnoExp }.
% 0.74/1.14 { ! alpha32( X, Y ), alpha27( X, Y ) }.
% 0.74/1.14 { ! X = vabs( Z, T, U ), ! Y = vnoExp, alpha27( X, Y ) }.
% 0.74/1.14 { ! alpha32( X, Y ), ! vreduce( X ) = Y, X = vvar( skol34( X ) ) }.
% 0.74/1.14 { ! alpha32( X, Y ), ! vreduce( X ) = Y, Y = vnoExp }.
% 0.74/1.14 { vreduce( X ) = Y, alpha32( X, Y ) }.
% 0.74/1.14 { ! X = vvar( Z ), ! Y = vnoExp, alpha32( X, Y ) }.
% 0.74/1.14 { ! varrow( X, Y ) = varrow( Z, T ), X = Z }.
% 0.74/1.14 { ! varrow( X, Y ) = varrow( Z, T ), Y = T }.
% 0.74/1.14 { ! X = Z, ! Y = T, varrow( X, Y ) = varrow( Z, T ) }.
% 0.74/1.14 { ! vlookup( Y, X ) = vsomeType( Z ), vtcheck( X, vvar( Y ), Z ) }.
% 0.74/1.14 { ! vtcheck( vbind( Y, T, X ), Z, U ), vtcheck( X, vabs( Y, T, Z ), varrow
% 0.74/1.14 ( T, U ) ) }.
% 0.74/1.14 { ! vtcheck( X, Y, varrow( U, T ) ), ! vtcheck( X, Z, U ), vtcheck( X, vapp
% 0.74/1.14 ( Y, Z ), T ) }.
% 0.74/1.14 { alpha4( X, Y, Z ), X = vapp( skol35( X, Y, Z ), skol56( X, Y, Z ) ) }.
% 0.74/1.14 { alpha4( X, Y, Z ), vtcheck( Z, skol35( X, Y, Z ), varrow( skol74( X, Y, Z
% 0.74/1.14 ), Y ) ) }.
% 0.74/1.14 { alpha4( X, Y, Z ), vtcheck( Z, skol56( X, Y, Z ), skol74( X, Y, Z ) ) }.
% 0.74/1.14 { ! alpha4( X, Y, Z ), alpha9( X, Y, Z ), alpha16( X, Y, Z ) }.
% 0.74/1.14 { ! alpha9( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.74/1.14 { ! alpha16( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.74/1.14 { ! alpha16( X, Y, Z ), X = vabs( skol36( X, Y, Z ), skol75( X, Y, Z ),
% 0.74/1.14 skol57( X, Y, Z ) ) }.
% 0.74/1.14 { ! alpha16( X, Y, Z ), Y = varrow( skol75( X, Y, Z ), skol82( X, Y, Z ) )
% 0.74/1.14 }.
% 0.74/1.14 { ! alpha16( X, Y, Z ), vtcheck( vbind( skol36( X, Y, Z ), skol75( X, Y, Z
% 0.74/1.14 ), Z ), skol57( X, Y, Z ), skol82( X, Y, Z ) ) }.
% 0.74/1.14 { ! X = vabs( T, W, U ), ! Y = varrow( W, V0 ), ! vtcheck( vbind( T, W, Z )
% 0.74/1.14 , U, V0 ), alpha16( X, Y, Z ) }.
% 0.74/1.14 { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ), X = vvar( skol37( X, T, U ) )
% 0.74/1.14 }.
% 0.74/1.14 { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ), vlookup( skol37( X, Y, Z ), Z
% 0.74/1.14 ) = vsomeType( Y ) }.
% 0.74/1.14 { vtcheck( Z, X, Y ), alpha9( X, Y, Z ) }.
% 0.74/1.14 { ! X = vvar( T ), ! vlookup( T, Z ) = vsomeType( Y ), alpha9( X, Y, Z ) }
% 0.74/1.14 .
% 0.74/1.14 { ! vlookup( X, Y ) = vnoType, ! vtcheck( Y, Z, T ), vtcheck( vbind( X, U,
% 0.74/1.14 Y ), Z, T ) }.
% 0.74/1.14 { visFreeVar( T, Y ), ! vtcheck( vbind( T, U, X ), Y, Z ), vtcheck( X, Y, Z
% 0.74/1.14 ) }.
% 0.74/1.14 { ! vtcheck( vempty, ve1, X ), visValue( ve1 ), vreduce( ve1 ) = vsomeExp(
% 0.74/1.14 skol38 ) }.
% 0.74/1.14 { vtcheck( vempty, vabs( skol39, skol58, ve1 ), skol76 ) }.
% 0.74/1.14 { ! visValue( vabs( skol39, skol58, ve1 ) ) }.
% 0.74/1.14 { ! vreduce( vabs( skol39, skol58, ve1 ) ) = vsomeExp( X ) }.
% 0.74/1.14
% 0.74/1.14 *** allocated 15000 integers for clauses
% 0.74/1.14 percentage equality = 0.475385, percentage horn = 0.798387
% 0.74/1.14 This is a problem with some equality
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14
% 0.74/1.14 Options Used:
% 0.74/1.14
% 0.74/1.14 useres = 1
% 0.74/1.14 useparamod = 1
% 0.74/1.14 useeqrefl = 1
% 0.74/1.14 useeqfact = 1
% 0.74/1.14 usefactor = 1
% 0.74/1.14 usesimpsplitting = 0
% 0.74/1.14 usesimpdemod = 5
% 0.74/1.14 usesimpres = 3
% 0.74/1.14
% 0.74/1.14 resimpinuse = 1000
% 0.74/1.14 resimpclauses = 20000
% 0.74/1.14 substype = eqrewr
% 0.74/1.14 backwardsubs = 1
% 0.74/1.14 selectoldest = 5
% 0.74/1.14
% 0.74/1.14 litorderings [0] = split
% 0.74/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.74/1.14
% 0.74/1.14 termordering = kbo
% 0.74/1.14
% 0.74/1.14 litapriori = 0
% 0.74/1.14 termapriori = 1
% 0.74/1.14 litaposteriori = 0
% 0.74/1.14 termaposteriori = 0
% 0.74/1.14 demodaposteriori = 0
% 0.74/1.14 ordereqreflfact = 0
% 0.74/1.14
% 0.74/1.14 litselect = negord
% 0.74/1.14
% 0.74/1.14 maxweight = 15
% 0.74/1.14 maxdepth = 30000
% 0.74/1.14 maxlength = 115
% 0.74/1.14 maxnrvars = 195
% 0.74/1.14 excuselevel = 1
% 0.74/1.14 increasemaxweight = 1
% 0.74/1.14
% 0.74/1.14 maxselected = 10000000
% 0.74/1.14 maxnrclauses = 10000000
% 0.74/1.14
% 0.74/1.14 showgenerated = 0
% 0.74/1.14 showkept = 0
% 0.74/1.14 showselected = 0
% 0.74/1.14 showdeleted = 0
% 0.74/1.14 showresimp = 1
% 0.74/1.14 showstatus = 2000
% 0.74/1.14
% 0.74/1.14 prologoutput = 0
% 0.74/1.14 nrgoals = 5000000
% 0.74/1.14 totalproof = 1
% 0.74/1.14
% 0.74/1.14 Symbols occurring in the translation:
% 0.74/1.14
% 0.74/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.14 . [1, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.74/1.14 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.74/1.14 ! [4, 1] (w:0, o:50, a:1, s:1, b:0),
% 0.74/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.14 vvar [37, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.74/1.14 vabs [42, 3] (w:1, o:151, a:1, s:1, b:0),
% 0.74/1.14 vapp [45, 2] (w:1, o:108, a:1, s:1, b:0),
% 0.74/1.14 visValue [49, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.74/1.14 visFreeVar [53, 2] (w:1, o:109, a:1, s:1, b:0),
% 0.74/1.14 vempty [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.74/1.14 vbind [58, 3] (w:1, o:152, a:1, s:1, b:0),
% 0.74/1.14 vnoType [59, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.74/1.14 vsomeType [60, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.74/1.14 visSomeType [62, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.74/1.14 vgetSomeType [64, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.74/1.14 vlookup [65, 2] (w:1, o:110, a:1, s:1, b:0),
% 0.74/1.14 vtcheck [70, 3] (w:1, o:154, a:1, s:1, b:0),
% 0.74/1.14 vgensym [71, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.74/1.14 vsubst [72, 3] (w:1, o:153, a:1, s:1, b:0),
% 0.74/1.14 vnoExp [74, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.74/1.14 vsomeExp [75, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.74/1.14 visSomeExp [77, 1] (w:1, o:63, a:1, s:1, b:0),
% 0.74/1.14 vgetSomeExp [78, 1] (w:1, o:64, a:1, s:1, b:0),
% 0.74/1.14 vreduce [79, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.74/1.14 varrow [87, 2] (w:1, o:111, a:1, s:1, b:0),
% 0.74/1.14 ve1 [90, 0] (w:1, o:44, a:1, s:1, b:0),
% 0.74/1.14 alpha1 [93, 2] (w:1, o:112, a:1, s:1, b:1),
% 0.74/1.14 alpha2 [94, 3] (w:1, o:161, a:1, s:1, b:1),
% 0.74/1.14 alpha3 [95, 2] (w:1, o:119, a:1, s:1, b:1),
% 0.74/1.14 alpha4 [96, 3] (w:1, o:162, a:1, s:1, b:1),
% 0.74/1.14 alpha5 [97, 3] (w:1, o:163, a:1, s:1, b:1),
% 0.74/1.14 alpha6 [98, 3] (w:1, o:164, a:1, s:1, b:1),
% 0.74/1.14 alpha7 [99, 2] (w:1, o:120, a:1, s:1, b:1),
% 0.74/1.14 alpha8 [100, 2] (w:1, o:121, a:1, s:1, b:1),
% 0.74/1.14 alpha9 [101, 3] (w:1, o:165, a:1, s:1, b:1),
% 0.74/1.14 alpha10 [102, 3] (w:1, o:155, a:1, s:1, b:1),
% 0.74/1.14 alpha11 [103, 3] (w:1, o:156, a:1, s:1, b:1),
% 0.74/1.14 alpha12 [104, 3] (w:1, o:157, a:1, s:1, b:1),
% 0.74/1.14 alpha13 [105, 2] (w:1, o:122, a:1, s:1, b:1),
% 0.74/1.14 alpha14 [106, 2] (w:1, o:123, a:1, s:1, b:1),
% 0.74/1.14 alpha15 [107, 2] (w:1, o:124, a:1, s:1, b:1),
% 0.74/1.14 alpha16 [108, 3] (w:1, o:158, a:1, s:1, b:1),
% 0.74/1.17 alpha17 [109, 3] (w:1, o:159, a:1, s:1, b:1),
% 0.74/1.17 alpha18 [110, 3] (w:1, o:160, a:1, s:1, b:1),
% 0.74/1.17 alpha19 [111, 2] (w:1, o:125, a:1, s:1, b:1),
% 0.74/1.17 alpha20 [112, 2] (w:1, o:113, a:1, s:1, b:1),
% 0.74/1.17 alpha21 [113, 2] (w:1, o:114, a:1, s:1, b:1),
% 0.74/1.17 alpha22 [114, 3] (w:1, o:166, a:1, s:1, b:1),
% 0.74/1.17 alpha23 [115, 3] (w:1, o:167, a:1, s:1, b:1),
% 0.74/1.17 alpha24 [116, 3] (w:1, o:168, a:1, s:1, b:1),
% 0.74/1.17 alpha25 [117, 2] (w:1, o:115, a:1, s:1, b:1),
% 0.74/1.17 alpha26 [118, 2] (w:1, o:116, a:1, s:1, b:1),
% 0.74/1.17 alpha27 [119, 2] (w:1, o:117, a:1, s:1, b:1),
% 0.74/1.17 alpha28 [120, 4] (w:1, o:189, a:1, s:1, b:1),
% 0.74/1.17 alpha29 [121, 2] (w:1, o:118, a:1, s:1, b:1),
% 0.74/1.17 alpha30 [122, 2] (w:1, o:126, a:1, s:1, b:1),
% 0.74/1.17 alpha31 [123, 2] (w:1, o:127, a:1, s:1, b:1),
% 0.74/1.17 alpha32 [124, 2] (w:1, o:128, a:1, s:1, b:1),
% 0.74/1.17 alpha33 [125, 4] (w:1, o:190, a:1, s:1, b:1),
% 0.74/1.17 alpha34 [126, 4] (w:1, o:191, a:1, s:1, b:1),
% 0.74/1.17 alpha35 [127, 2] (w:1, o:129, a:1, s:1, b:1),
% 0.74/1.17 alpha36 [128, 4] (w:1, o:192, a:1, s:1, b:1),
% 0.74/1.17 alpha37 [129, 4] (w:1, o:193, a:1, s:1, b:1),
% 0.74/1.17 alpha38 [130, 4] (w:1, o:194, a:1, s:1, b:1),
% 0.74/1.17 alpha39 [131, 5] (w:1, o:223, a:1, s:1, b:1),
% 0.74/1.17 alpha40 [132, 4] (w:1, o:195, a:1, s:1, b:1),
% 0.74/1.17 alpha41 [133, 4] (w:1, o:196, a:1, s:1, b:1),
% 0.74/1.17 alpha42 [134, 4] (w:1, o:197, a:1, s:1, b:1),
% 0.74/1.17 alpha43 [135, 4] (w:1, o:198, a:1, s:1, b:1),
% 0.74/1.17 alpha44 [136, 4] (w:1, o:199, a:1, s:1, b:1),
% 0.74/1.17 alpha45 [137, 5] (w:1, o:224, a:1, s:1, b:1),
% 0.74/1.17 alpha46 [138, 4] (w:1, o:200, a:1, s:1, b:1),
% 0.74/1.17 alpha47 [139, 4] (w:1, o:201, a:1, s:1, b:1),
% 0.74/1.17 alpha48 [140, 6] (w:1, o:225, a:1, s:1, b:1),
% 0.74/1.17 alpha49 [141, 4] (w:1, o:202, a:1, s:1, b:1),
% 0.74/1.17 skol1 [142, 3] (w:1, o:169, a:1, s:1, b:1),
% 0.74/1.17 skol2 [143, 3] (w:1, o:171, a:1, s:1, b:1),
% 0.74/1.17 skol3 [144, 3] (w:1, o:173, a:1, s:1, b:1),
% 0.74/1.17 skol4 [145, 3] (w:1, o:177, a:1, s:1, b:1),
% 0.74/1.17 skol5 [146, 1] (w:1, o:68, a:1, s:1, b:1),
% 0.74/1.17 skol6 [147, 4] (w:1, o:203, a:1, s:1, b:1),
% 0.74/1.17 skol7 [148, 4] (w:1, o:207, a:1, s:1, b:1),
% 0.74/1.17 skol8 [149, 4] (w:1, o:209, a:1, s:1, b:1),
% 0.74/1.17 skol9 [150, 4] (w:1, o:210, a:1, s:1, b:1),
% 0.74/1.17 skol10 [151, 4] (w:1, o:211, a:1, s:1, b:1),
% 0.74/1.17 skol11 [152, 4] (w:1, o:212, a:1, s:1, b:1),
% 0.74/1.17 skol12 [153, 4] (w:1, o:213, a:1, s:1, b:1),
% 0.74/1.17 skol13 [154, 4] (w:1, o:214, a:1, s:1, b:1),
% 0.74/1.17 skol14 [155, 4] (w:1, o:215, a:1, s:1, b:1),
% 0.74/1.17 skol15 [156, 4] (w:1, o:216, a:1, s:1, b:1),
% 0.74/1.17 skol16 [157, 4] (w:1, o:217, a:1, s:1, b:1),
% 0.74/1.17 skol17 [158, 4] (w:1, o:218, a:1, s:1, b:1),
% 0.74/1.17 skol18 [159, 3] (w:1, o:170, a:1, s:1, b:1),
% 0.74/1.17 skol19 [160, 1] (w:1, o:69, a:1, s:1, b:1),
% 0.74/1.17 skol20 [161, 3] (w:1, o:172, a:1, s:1, b:1),
% 0.74/1.17 skol21 [162, 1] (w:1, o:70, a:1, s:1, b:1),
% 0.74/1.17 skol22 [163, 1] (w:1, o:71, a:1, s:1, b:1),
% 0.74/1.17 skol23 [164, 1] (w:1, o:72, a:1, s:1, b:1),
% 0.74/1.17 skol24 [165, 2] (w:1, o:130, a:1, s:1, b:1),
% 0.74/1.17 skol25 [166, 2] (w:1, o:131, a:1, s:1, b:1),
% 0.74/1.17 skol26 [167, 2] (w:1, o:132, a:1, s:1, b:1),
% 0.74/1.17 skol27 [168, 2] (w:1, o:133, a:1, s:1, b:1),
% 0.74/1.17 skol28 [169, 1] (w:1, o:73, a:1, s:1, b:1),
% 0.74/1.17 skol29 [170, 2] (w:1, o:134, a:1, s:1, b:1),
% 0.74/1.17 skol30 [171, 2] (w:1, o:135, a:1, s:1, b:1),
% 0.74/1.17 skol31 [172, 2] (w:1, o:136, a:1, s:1, b:1),
% 0.74/1.17 skol32 [173, 2] (w:1, o:137, a:1, s:1, b:1),
% 0.74/1.17 skol33 [174, 1] (w:1, o:74, a:1, s:1, b:1),
% 0.74/1.17 skol34 [175, 1] (w:1, o:75, a:1, s:1, b:1),
% 0.74/1.17 skol35 [176, 3] (w:1, o:174, a:1, s:1, b:1),
% 0.74/1.17 skol36 [177, 3] (w:1, o:175, a:1, s:1, b:1),
% 0.74/1.17 skol37 [178, 3] (w:1, o:176, a:1, s:1, b:1),
% 0.74/1.17 skol38 [179, 0] (w:1, o:46, a:1, s:1, b:1),
% 0.74/1.17 skol39 [180, 0] (w:1, o:47, a:1, s:1, b:1),
% 0.74/1.17 skol40 [181, 3] (w:1, o:178, a:1, s:1, b:1),
% 0.74/1.17 skol41 [182, 3] (w:1, o:179, a:1, s:1, b:1),
% 0.74/1.17 skol42 [183, 4] (w:1, o:219, a:1, s:1, b:1),
% 0.74/1.17 skol43 [184, 4] (w:1, o:220, a:1, s:1, b:1),
% 0.74/1.17 skol44 [185, 4] (w:1, o:221, a:1, s:1, b:1),
% 0.74/1.17 skol45 [186, 4] (w:1, o:222, a:1, s:1, b:1),
% 0.74/1.17 skol46 [187, 3] (w:1, o:180, a:1, s:1, b:1),
% 0.74/1.17 skol47 [188, 1] (w:1, o:65, a:1, s:1, b:1),
% 0.74/1.17 skol48 [189, 1] (w:1, o:66, a:1, s:1, b:1),
% 0.74/1.17 skol49 [190, 1] (w:1, o:67, a:1, s:1, b:1),
% 0.74/1.17 skol50 [191, 2] (w:1, o:138, a:1, s:1, b:1),
% 0.74/1.17 skol51 [192, 1] (w:1, o:76, a:1, s:1, b:1),
% 0.74/1.17 skol52 [193, 2] (w:1, o:139, a:1, s:1, b:1),
% 0.74/1.17 skol53 [194, 2] (w:1, o:140, a:1, s:1, b:1),
% 0.74/1.17 skol54 [195, 2] (w:1, o:141, a:1, s:1, b:1),
% 0.74/1.17 skol55 [196, 1] (w:1, o:77, a:1, s:1, b:1),
% 0.74/1.17 skol56 [197, 3] (w:1, o:181, a:1, s:1, b:1),
% 0.74/1.17 skol57 [198, 3] (w:1, o:182, a:1, s:1, b:1),
% 0.74/1.17 skol58 [199, 0] (w:1, o:48, a:1, s:1, b:1),
% 0.74/1.17 skol59 [200, 3] (w:1, o:183, a:1, s:1, b:1),
% 0.74/1.17 skol60 [201, 3] (w:1, o:184, a:1, s:1, b:1),
% 0.74/1.17 skol61 [202, 4] (w:1, o:204, a:1, s:1, b:1),
% 0.74/1.17 skol62 [203, 4] (w:1, o:205, a:1, s:1, b:1),
% 0.74/1.17 skol63 [204, 4] (w:1, o:206, a:1, s:1, b:1),
% 0.74/1.17 skol64 [205, 3] (w:1, o:185, a:1, s:1, b:1),
% 0.74/1.17 skol65 [206, 1] (w:1, o:78, a:1, s:1, b:1),
% 0.74/1.17 skol66 [207, 1] (w:1, o:79, a:1, s:1, b:1),
% 0.74/1.17 skol67 [208, 1] (w:1, o:80, a:1, s:1, b:1),
% 0.74/1.17 skol68 [209, 2] (w:1, o:142, a:1, s:1, b:1),
% 0.74/1.17 skol69 [210, 1] (w:1, o:81, a:1, s:1, b:1),
% 0.74/1.17 skol70 [211, 2] (w:1, o:143, a:1, s:1, b:1),
% 0.74/1.17 skol71 [212, 2] (w:1, o:144, a:1, s:1, b:1),
% 0.74/1.17 skol72 [213, 2] (w:1, o:145, a:1, s:1, b:1),
% 0.74/1.17 skol73 [214, 1] (w:1, o:82, a:1, s:1, b:1),
% 0.74/1.17 skol74 [215, 3] (w:1, o:186, a:1, s:1, b:1),
% 0.74/1.17 skol75 [216, 3] (w:1, o:187, a:1, s:1, b:1),
% 0.74/1.17 skol76 [217, 0] (w:1, o:49, a:1, s:1, b:1),
% 0.74/1.17 skol77 [218, 4] (w:1, o:208, a:1, s:1, b:1),
% 0.74/1.17 skol78 [219, 1] (w:1, o:83, a:1, s:1, b:1),
% 0.74/1.17 skol79 [220, 2] (w:1, o:146, a:1, s:1, b:1),
% 0.74/1.17 skol80 [221, 2] (w:1, o:147, a:1, s:1, b:1),
% 0.74/1.17 skol81 [222, 2] (w:1, o:148, a:1, s:1, b:1),
% 0.74/1.17 skol82 [223, 3] (w:1, o:188, a:1, s:1, b:1),
% 0.74/1.17 skol83 [224, 2] (w:1, o:149, a:1, s:1, b:1),
% 0.74/1.17 skol84 [225, 2] (w:1, o:150, a:1, s:1, b:1).
% 0.74/1.17
% 0.74/1.17
% 0.74/1.17 Starting Search:
% 0.74/1.17
% 0.74/1.17 *** allocated 22500 integers for clauses
% 0.74/1.17 *** allocated 33750 integers for clauses
% 0.74/1.17 *** allocated 22500 integers for termspace/termends
% 0.74/1.17 *** allocated 50625 integers for clauses
% 0.74/1.17
% 0.74/1.17 Bliksems!, er is een bewijs:
% 0.74/1.17 % SZS status Theorem
% 0.74/1.17 % SZS output start Refutation
% 0.74/1.17
% 0.74/1.17 (12) {G0,W8,D3,L2,V4,M2} I { ! X = vabs( Y, Z, T ), visValue( X ) }.
% 0.74/1.17 (246) {G0,W5,D3,L1,V0,M1} I { ! visValue( vabs( skol39, skol58, ve1 ) ) }.
% 0.74/1.17 (264) {G1,W5,D3,L1,V3,M1} Q(12) { visValue( vabs( X, Y, Z ) ) }.
% 0.74/1.17 (768) {G2,W0,D0,L0,V0,M0} S(246);r(264) { }.
% 0.74/1.17
% 0.74/1.17
% 0.74/1.17 % SZS output end Refutation
% 0.74/1.17 found a proof!
% 0.74/1.17
% 0.74/1.17 *** allocated 75937 integers for clauses
% 0.74/1.17 *** allocated 33750 integers for termspace/termends
% 0.74/1.17
% 0.74/1.17 Unprocessed initial clauses:
% 0.74/1.17
% 0.74/1.17 (770) {G0,W8,D3,L2,V2,M2} { ! vvar( X ) = vvar( Y ), X = Y }.
% 0.74/1.17 (771) {G0,W8,D3,L2,V2,M2} { ! X = Y, vvar( X ) = vvar( Y ) }.
% 0.74/1.17 (772) {G0,W12,D3,L2,V6,M2} { ! vabs( X, Y, Z ) = vabs( T, U, W ), X = T
% 0.74/1.17 }.
% 0.74/1.17 (773) {G0,W12,D3,L2,V6,M2} { ! vabs( X, Y, Z ) = vabs( T, U, W ), Y = U
% 0.74/1.17 }.
% 0.74/1.17 (774) {G0,W12,D3,L2,V6,M2} { ! vabs( X, Y, Z ) = vabs( T, U, W ), Z = W
% 0.74/1.17 }.
% 0.74/1.17 (775) {G0,W18,D3,L4,V6,M4} { ! X = T, ! Y = U, ! Z = W, vabs( X, Y, Z ) =
% 0.74/1.17 vabs( T, U, W ) }.
% 0.74/1.17 (776) {G0,W10,D3,L2,V4,M2} { ! vapp( X, Y ) = vapp( Z, T ), X = Z }.
% 0.74/1.17 (777) {G0,W10,D3,L2,V4,M2} { ! vapp( X, Y ) = vapp( Z, T ), Y = T }.
% 0.74/1.17 (778) {G0,W13,D3,L3,V4,M3} { ! X = Z, ! Y = T, vapp( X, Y ) = vapp( Z, T )
% 0.74/1.17 }.
% 0.74/1.17 (779) {G0,W7,D3,L1,V4,M1} { ! vvar( X ) = vabs( Y, Z, T ) }.
% 0.74/1.17 (780) {G0,W6,D3,L1,V3,M1} { ! vvar( X ) = vapp( Y, Z ) }.
% 0.74/1.17 (781) {G0,W8,D3,L1,V5,M1} { ! vabs( X, Y, Z ) = vapp( T, U ) }.
% 0.74/1.17 (782) {G0,W8,D3,L2,V4,M2} { ! X = vabs( Y, Z, T ), visValue( X ) }.
% 0.74/1.17 (783) {G0,W6,D3,L2,V2,M2} { ! X = vvar( Y ), ! visValue( X ) }.
% 0.74/1.17 (784) {G0,W7,D3,L2,V3,M2} { ! X = vapp( Y, Z ), ! visValue( X ) }.
% 0.74/1.17 (785) {G0,W13,D3,L4,V4,M4} { ! X = T, ! Y = vvar( Z ), ! Z = T, visFreeVar
% 0.74/1.17 ( X, Y ) }.
% 0.74/1.17 (786) {G0,W13,D3,L4,V4,M4} { ! X = T, ! Y = vvar( Z ), ! visFreeVar( X, Y
% 0.74/1.17 ), Z = T }.
% 0.74/1.17 (787) {G0,W18,D3,L5,V6,M5} { ! X = T, ! Y = vabs( Z, W, U ), Z = T, !
% 0.74/1.17 visFreeVar( T, U ), visFreeVar( X, Y ) }.
% 0.74/1.17 (788) {G0,W15,D3,L4,V6,M4} { ! X = T, ! Y = vabs( Z, W, U ), ! visFreeVar
% 0.74/1.17 ( X, Y ), ! Z = T }.
% 0.74/1.17 (789) {G0,W15,D3,L4,V6,M4} { ! X = T, ! Y = vabs( Z, W, U ), ! visFreeVar
% 0.74/1.17 ( X, Y ), visFreeVar( T, U ) }.
% 0.74/1.17 (790) {G0,W14,D3,L4,V5,M4} { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( T
% 0.74/1.17 , Z ), visFreeVar( X, Y ) }.
% 0.74/1.17 (791) {G0,W14,D3,L4,V5,M4} { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( T
% 0.74/1.17 , U ), visFreeVar( X, Y ) }.
% 0.74/1.17 (792) {G0,W17,D3,L5,V5,M5} { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( X
% 0.74/1.17 , Y ), visFreeVar( T, Z ), visFreeVar( T, U ) }.
% 0.74/1.17 (793) {G0,W4,D2,L2,V0,M2} { ! &&, vempty = vempty }.
% 0.74/1.17 (794) {G0,W12,D3,L2,V6,M2} { ! vbind( X, Y, Z ) = vbind( T, U, W ), X = T
% 0.74/1.17 }.
% 0.74/1.17 (795) {G0,W12,D3,L2,V6,M2} { ! vbind( X, Y, Z ) = vbind( T, U, W ), Y = U
% 0.74/1.17 }.
% 0.74/1.17 (796) {G0,W12,D3,L2,V6,M2} { ! vbind( X, Y, Z ) = vbind( T, U, W ), Z = W
% 0.74/1.17 }.
% 0.74/1.17 (797) {G0,W18,D3,L4,V6,M4} { ! X = T, ! Y = U, ! Z = W, vbind( X, Y, Z ) =
% 0.74/1.17 vbind( T, U, W ) }.
% 0.74/1.17 (798) {G0,W4,D2,L2,V0,M2} { ! &&, vnoType = vnoType }.
% 0.74/1.17 (799) {G0,W8,D3,L2,V2,M2} { ! vsomeType( X ) = vsomeType( Y ), X = Y }.
% 0.74/1.17 (800) {G0,W8,D3,L2,V2,M2} { ! X = Y, vsomeType( X ) = vsomeType( Y ) }.
% 0.74/1.17 (801) {G0,W6,D3,L1,V3,M1} { ! vempty = vbind( X, Y, Z ) }.
% 0.74/1.17 (802) {G0,W4,D3,L1,V1,M1} { ! vnoType = vsomeType( X ) }.
% 0.74/1.17 (803) {G0,W5,D2,L2,V1,M2} { ! X = vnoType, ! visSomeType( X ) }.
% 0.74/1.17 (804) {G0,W6,D3,L2,V2,M2} { ! X = vsomeType( Y ), visSomeType( X ) }.
% 0.74/1.17 (805) {G0,W11,D3,L3,V3,M3} { ! X = vsomeType( Y ), ! Z = vgetSomeType( X )
% 0.74/1.17 , Z = Y }.
% 0.74/1.17 (806) {G0,W14,D3,L4,V4,M4} { ! X = Z, ! Y = vempty, ! T = vlookup( X, Y )
% 0.74/1.17 , T = vnoType }.
% 0.74/1.17 (807) {G0,W21,D3,L5,V7,M5} { ! Z = X, ! T = vbind( Y, U, W ), ! X = Y, !
% 0.74/1.17 V0 = vlookup( Z, T ), V0 = vsomeType( U ) }.
% 0.74/1.17 (808) {G0,W22,D3,L5,V7,M5} { ! Y = T, ! Z = vbind( X, W, U ), T = X, ! V0
% 0.74/1.17 = vlookup( Y, Z ), V0 = vlookup( T, U ) }.
% 0.74/1.17 (809) {G0,W10,D3,L2,V5,M2} { alpha5( X, Y, Z ), X = skol1( X, T, U ) }.
% 0.74/1.17 (810) {G0,W11,D3,L2,V3,M2} { alpha5( X, Y, Z ), alpha10( Y, Z, skol1( X, Y
% 0.74/1.17 , Z ) ) }.
% 0.74/1.17 (811) {G0,W12,D4,L2,V4,M2} { ! alpha10( X, Y, Z ), Y = vlookup( Z, skol40
% 0.74/1.17 ( T, Y, Z ) ) }.
% 0.74/1.17 (812) {G0,W10,D3,L2,V3,M2} { ! alpha10( X, Y, Z ), ! Z = skol2( X, Y, Z )
% 0.74/1.17 }.
% 0.74/1.17 (813) {G0,W19,D4,L2,V3,M2} { ! alpha10( X, Y, Z ), X = vbind( skol2( X, Y
% 0.74/1.17 , Z ), skol59( X, Y, Z ), skol40( X, Y, Z ) ) }.
% 0.74/1.17 (814) {G0,W18,D3,L4,V6,M4} { ! X = vbind( T, W, U ), Z = T, ! Y = vlookup
% 0.74/1.17 ( Z, U ), alpha10( X, Y, Z ) }.
% 0.74/1.17 (815) {G0,W12,D2,L3,V3,M3} { ! alpha5( X, Y, Z ), alpha11( X, Y, Z ),
% 0.74/1.17 alpha17( X, Y, Z ) }.
% 0.74/1.17 (816) {G0,W8,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.74/1.17 (817) {G0,W8,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.74/1.17 (818) {G0,W10,D3,L2,V5,M2} { ! alpha17( X, Y, Z ), X = skol3( X, T, U )
% 0.74/1.17 }.
% 0.74/1.17 (819) {G0,W11,D3,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha22( Y, Z, skol3( X
% 0.74/1.17 , Y, Z ) ) }.
% 0.74/1.17 (820) {G0,W11,D2,L3,V4,M3} { ! X = T, ! alpha22( Y, Z, T ), alpha17( X, Y
% 0.74/1.17 , Z ) }.
% 0.74/1.17 (821) {G0,W11,D4,L2,V5,M2} { ! alpha22( X, Y, Z ), Y = vsomeType( skol41(
% 0.74/1.17 T, Y, U ) ) }.
% 0.74/1.17 (822) {G0,W10,D3,L2,V3,M2} { ! alpha22( X, Y, Z ), Z = skol4( X, Y, Z )
% 0.74/1.17 }.
% 0.74/1.17 (823) {G0,W19,D4,L2,V3,M2} { ! alpha22( X, Y, Z ), X = vbind( skol4( X, Y
% 0.74/1.17 , Z ), skol41( X, Y, Z ), skol60( X, Y, Z ) ) }.
% 0.74/1.17 (824) {G0,W17,D3,L4,V6,M4} { ! X = vbind( T, U, W ), ! Z = T, ! Y =
% 0.74/1.17 vsomeType( U ), alpha22( X, Y, Z ) }.
% 0.74/1.17 (825) {G0,W12,D3,L3,V3,M3} { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z,
% 0.74/1.17 alpha1( X, Y ) }.
% 0.74/1.17 (826) {G0,W12,D3,L3,V3,M3} { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z,
% 0.74/1.17 Z = vnoType }.
% 0.74/1.17 (827) {G0,W9,D3,L2,V3,M2} { vlookup( X, Y ) = Z, alpha11( X, Y, Z ) }.
% 0.74/1.17 (828) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y ), ! Z = vnoType, alpha11( X,
% 0.74/1.17 Y, Z ) }.
% 0.74/1.17 (829) {G0,W7,D3,L2,V2,M2} { ! alpha1( X, Y ), X = skol5( X ) }.
% 0.74/1.17 (830) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), Y = vempty }.
% 0.74/1.17 (831) {G0,W9,D2,L3,V3,M3} { ! X = Z, ! Y = vempty, alpha1( X, Y ) }.
% 0.74/1.17 (832) {G0,W20,D4,L3,V7,M3} { ! X = W, ! vtcheck( vbind( X, Y, vbind( W, V0
% 0.74/1.17 , Z ) ), T, U ), vtcheck( vbind( X, Y, Z ), T, U ) }.
% 0.74/1.17 (833) {G0,W23,D4,L3,V7,M3} { Z = X, ! vtcheck( vbind( Z, T, vbind( X, Y, U
% 0.74/1.17 ) ), W, V0 ), vtcheck( vbind( X, Y, vbind( Z, T, U ) ), W, V0 ) }.
% 0.74/1.17 (834) {G0,W7,D3,L2,V2,M2} { ! vgensym( Y ) = X, ! visFreeVar( X, Y ) }.
% 0.74/1.17 (835) {G0,W22,D3,L6,V7,M6} { ! Z = X, ! T = W, ! U = vvar( Y ), ! X = Y, !
% 0.74/1.17 V0 = vsubst( Z, T, U ), V0 = W }.
% 0.74/1.17 (836) {G0,W23,D3,L6,V7,M6} { ! Y = X, ! Z = W, ! T = vvar( U ), X = U, !
% 0.74/1.17 V0 = vsubst( Y, Z, T ), V0 = vvar( U ) }.
% 0.74/1.17 (837) {G0,W28,D4,L5,V8,M5} { ! X = U, ! Y = W, ! Z = vapp( T, V0 ), ! V1 =
% 0.74/1.17 vsubst( X, Y, Z ), V1 = vapp( vsubst( U, W, T ), vsubst( U, W, V0 ) )
% 0.74/1.17 }.
% 0.74/1.17 (838) {G0,W27,D3,L6,V9,M6} { ! Y = X, ! Z = V1, ! T = vabs( U, W, V0 ), !
% 0.74/1.17 X = U, ! V2 = vsubst( Y, Z, T ), V2 = vabs( U, W, V0 ) }.
% 0.74/1.17 (839) {G0,W46,D6,L8,V10,M8} { ! X = T, ! Y = U, ! Z = vabs( V0, W, V1 ), T
% 0.74/1.17 = V0, ! visFreeVar( V0, U ), ! V2 = vgensym( vapp( vapp( U, V1 ), vvar(
% 0.74/1.17 T ) ) ), ! V3 = vsubst( X, Y, Z ), V3 = vsubst( T, U, vabs( V2, W, vsubst
% 0.74/1.17 ( V0, vvar( V2 ), V1 ) ) ) }.
% 0.74/1.17 (840) {G0,W33,D4,L7,V9,M7} { ! X = W, ! Y = V0, ! Z = vabs( T, U, V1 ), W
% 0.74/1.17 = T, visFreeVar( T, V0 ), ! V2 = vsubst( X, Y, Z ), V2 = vabs( T, U,
% 0.74/1.17 vsubst( W, V0, V1 ) ) }.
% 0.74/1.17 (841) {G0,W12,D3,L2,V7,M2} { alpha28( X, Y, Z, T ), X = skol6( X, U, W, V0
% 0.74/1.17 ) }.
% 0.74/1.17 (842) {G0,W14,D3,L2,V4,M2} { alpha28( X, Y, Z, T ), alpha33( Y, Z, T,
% 0.74/1.17 skol6( X, Y, Z, T ) ) }.
% 0.74/1.17 (843) {G0,W12,D3,L2,V7,M2} { ! alpha33( X, Y, Z, T ), X = skol7( X, U, W,
% 0.74/1.17 V0 ) }.
% 0.74/1.17 (844) {G0,W14,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T ), alpha36( Y, Z, T,
% 0.74/1.17 skol7( X, Y, Z, T ) ) }.
% 0.74/1.17 (845) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha36( Y, Z, T, U ), alpha33( X
% 0.74/1.17 , Y, Z, T ) }.
% 0.74/1.17 (846) {G0,W23,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T ), alpha39( X, Z, skol8
% 0.74/1.17 ( X, Y, Z, T ), skol42( X, Y, Z, T ), skol61( X, Y, Z, T ) ) }.
% 0.74/1.17 (847) {G0,W12,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T ), ! visFreeVar( skol8
% 0.74/1.17 ( X, Y, Z, T ), T ) }.
% 0.74/1.17 (848) {G0,W26,D5,L2,V4,M2} { ! alpha36( X, Y, Z, T ), Y = vabs( skol8( X,
% 0.74/1.17 Y, Z, T ), skol42( X, Y, Z, T ), vsubst( Z, T, skol61( X, Y, Z, T ) ) )
% 0.74/1.17 }.
% 0.74/1.17 (849) {G0,W23,D4,L4,V7,M4} { ! alpha39( X, Z, U, W, V0 ), visFreeVar( U, T
% 0.74/1.17 ), ! Y = vabs( U, W, vsubst( Z, T, V0 ) ), alpha36( X, Y, Z, T ) }.
% 0.74/1.17 (850) {G0,W12,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U ), X = vabs( Z, T, U
% 0.74/1.17 ) }.
% 0.74/1.17 (851) {G0,W9,D2,L2,V5,M2} { ! alpha39( X, Y, Z, T, U ), ! Y = Z }.
% 0.74/1.17 (852) {G0,W15,D3,L3,V5,M3} { ! X = vabs( Z, T, U ), Y = Z, alpha39( X, Y,
% 0.74/1.17 Z, T, U ) }.
% 0.74/1.17 (853) {G0,W15,D2,L3,V4,M3} { ! alpha28( X, Y, Z, T ), alpha34( X, Y, Z, T
% 0.74/1.17 ), alpha37( X, Y, Z, T ) }.
% 0.74/1.17 (854) {G0,W10,D2,L2,V4,M2} { ! alpha34( X, Y, Z, T ), alpha28( X, Y, Z, T
% 0.74/1.17 ) }.
% 0.74/1.17 (855) {G0,W10,D2,L2,V4,M2} { ! alpha37( X, Y, Z, T ), alpha28( X, Y, Z, T
% 0.74/1.17 ) }.
% 0.74/1.17 (856) {G0,W12,D3,L2,V7,M2} { ! alpha37( X, Y, Z, T ), X = skol9( X, U, W,
% 0.74/1.17 V0 ) }.
% 0.74/1.17 (857) {G0,W14,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T ), alpha40( Y, Z, T,
% 0.74/1.17 skol9( X, Y, Z, T ) ) }.
% 0.74/1.17 (858) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha40( Y, Z, T, U ), alpha37( X
% 0.74/1.17 , Y, Z, T ) }.
% 0.74/1.17 (859) {G0,W12,D3,L2,V7,M2} { ! alpha40( X, Y, Z, T ), X = skol10( X, U, W
% 0.74/1.17 , V0 ) }.
% 0.74/1.17 (860) {G0,W14,D3,L2,V4,M2} { ! alpha40( X, Y, Z, T ), alpha42( Y, Z, T,
% 0.74/1.17 skol10( X, Y, Z, T ) ) }.
% 0.74/1.17 (861) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha42( Y, Z, T, U ), alpha40( X
% 0.74/1.17 , Y, Z, T ) }.
% 0.74/1.17 (862) {G0,W24,D3,L2,V4,M2} { ! alpha42( X, Y, Z, T ), alpha48( X, Z, T,
% 0.74/1.17 skol11( X, Y, Z, T ), skol43( X, Y, Z, T ), skol62( X, Y, Z, T ) ) }.
% 0.74/1.17 (863) {G0,W22,D6,L2,V4,M2} { ! alpha42( X, Y, Z, T ), skol77( X, Y, Z, T )
% 0.74/1.17 = vgensym( vapp( vapp( T, skol62( X, Y, Z, T ) ), vvar( Z ) ) ) }.
% 0.74/1.17 (864) {G0,W38,D7,L2,V4,M2} { ! alpha42( X, Y, Z, T ), Y = vsubst( Z, T,
% 0.74/1.17 vabs( skol77( X, Y, Z, T ), skol11( X, Y, Z, T ), vsubst( skol43( X, Y, Z
% 0.74/1.17 , T ), vvar( skol77( X, Y, Z, T ) ), skol62( X, Y, Z, T ) ) ) ) }.
% 0.74/1.17 (865) {G0,W34,D6,L4,V8,M4} { ! alpha48( X, Z, T, U, W, V0 ), ! V1 =
% 0.74/1.17 vgensym( vapp( vapp( T, V0 ), vvar( Z ) ) ), ! Y = vsubst( Z, T, vabs( V1
% 0.74/1.17 , U, vsubst( W, vvar( V1 ), V0 ) ) ), alpha42( X, Y, Z, T ) }.
% 0.74/1.17 (866) {G0,W13,D2,L2,V6,M2} { ! alpha48( X, Y, Z, T, U, W ), alpha45( X, Y
% 0.74/1.17 , T, U, W ) }.
% 0.74/1.17 (867) {G0,W10,D2,L2,V6,M2} { ! alpha48( X, Y, Z, T, U, W ), visFreeVar( U
% 0.74/1.17 , Z ) }.
% 0.74/1.17 (868) {G0,W16,D2,L3,V6,M3} { ! alpha45( X, Y, T, U, W ), ! visFreeVar( U,
% 0.74/1.17 Z ), alpha48( X, Y, Z, T, U, W ) }.
% 0.74/1.17 (869) {G0,W12,D3,L2,V5,M2} { ! alpha45( X, Y, Z, T, U ), X = vabs( T, Z, U
% 0.74/1.17 ) }.
% 0.74/1.17 (870) {G0,W9,D2,L2,V5,M2} { ! alpha45( X, Y, Z, T, U ), ! Y = T }.
% 0.74/1.17 (871) {G0,W15,D3,L3,V5,M3} { ! X = vabs( T, Z, U ), Y = T, alpha45( X, Y,
% 0.74/1.17 Z, T, U ) }.
% 0.74/1.17 (872) {G0,W18,D3,L3,V6,M3} { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z, T
% 0.74/1.17 ), alpha23( Z, T, skol12( U, W, Z, T ) ) }.
% 0.74/1.17 (873) {G0,W18,D3,L3,V4,M3} { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z, T
% 0.74/1.17 ), alpha18( X, Y, skol12( X, Y, Z, T ) ) }.
% 0.74/1.17 (874) {G0,W10,D2,L2,V4,M2} { ! alpha38( X, Y, Z, T ), alpha34( X, Y, Z, T
% 0.74/1.17 ) }.
% 0.74/1.17 (875) {G0,W13,D2,L3,V5,M3} { ! alpha18( X, Y, U ), ! alpha23( Z, T, U ),
% 0.74/1.17 alpha34( X, Y, Z, T ) }.
% 0.74/1.17 (876) {G0,W15,D2,L3,V4,M3} { ! alpha38( X, Y, Z, T ), alpha41( X, Y, Z, T
% 0.74/1.17 ), alpha43( X, Y, Z, T ) }.
% 0.74/1.17 (877) {G0,W10,D2,L2,V4,M2} { ! alpha41( X, Y, Z, T ), alpha38( X, Y, Z, T
% 0.74/1.17 ) }.
% 0.74/1.17 (878) {G0,W10,D2,L2,V4,M2} { ! alpha43( X, Y, Z, T ), alpha38( X, Y, Z, T
% 0.74/1.17 ) }.
% 0.74/1.17 (879) {G0,W12,D3,L2,V7,M2} { ! alpha43( X, Y, Z, T ), X = skol13( X, U, W
% 0.74/1.17 , V0 ) }.
% 0.74/1.17 (880) {G0,W14,D3,L2,V4,M2} { ! alpha43( X, Y, Z, T ), alpha46( Y, Z, T,
% 0.74/1.17 skol13( X, Y, Z, T ) ) }.
% 0.74/1.17 (881) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha46( Y, Z, T, U ), alpha43( X
% 0.74/1.17 , Y, Z, T ) }.
% 0.74/1.17 (882) {G0,W12,D3,L2,V7,M2} { ! alpha46( X, Y, Z, T ), X = skol14( X, U, W
% 0.74/1.17 , V0 ) }.
% 0.74/1.17 (883) {G0,W18,D4,L2,V4,M2} { ! alpha46( X, Y, Z, T ), Y = vapp( skol44( X
% 0.74/1.17 , Y, Z, T ), skol63( X, Y, Z, T ) ) }.
% 0.74/1.17 (884) {G0,W32,D5,L2,V4,M2} { ! alpha46( X, Y, Z, T ), Z = vapp( vsubst( T
% 0.74/1.17 , skol14( X, Y, Z, T ), skol44( X, Y, Z, T ) ), vsubst( T, skol14( X, Y,
% 0.74/1.17 Z, T ), skol63( X, Y, Z, T ) ) ) }.
% 0.74/1.17 (885) {G0,W24,D4,L4,V7,M4} { ! X = U, ! Y = vapp( W, V0 ), ! Z = vapp(
% 0.74/1.17 vsubst( T, U, W ), vsubst( T, U, V0 ) ), alpha46( X, Y, Z, T ) }.
% 0.74/1.17 (886) {G0,W18,D3,L3,V6,M3} { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z, T
% 0.74/1.17 ), alpha12( Z, T, skol15( U, W, Z, T ) ) }.
% 0.74/1.17 (887) {G0,W18,D3,L3,V4,M3} { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z, T
% 0.74/1.17 ), alpha6( X, Y, skol15( X, Y, Z, T ) ) }.
% 0.74/1.17 (888) {G0,W10,D2,L2,V4,M2} { ! alpha44( X, Y, Z, T ), alpha41( X, Y, Z, T
% 0.74/1.17 ) }.
% 0.74/1.17 (889) {G0,W13,D2,L3,V5,M3} { ! alpha6( X, Y, U ), ! alpha12( Z, T, U ),
% 0.74/1.17 alpha41( X, Y, Z, T ) }.
% 0.74/1.17 (890) {G0,W16,D3,L3,V4,M3} { ! alpha44( X, Y, Z, T ), ! vsubst( X, Y, Z )
% 0.74/1.17 = T, alpha47( X, Y, Z, T ) }.
% 0.74/1.17 (891) {G0,W11,D3,L2,V4,M2} { vsubst( X, Y, Z ) = T, alpha44( X, Y, Z, T )
% 0.74/1.17 }.
% 0.74/1.17 (892) {G0,W10,D2,L2,V4,M2} { ! alpha47( X, Y, Z, T ), alpha44( X, Y, Z, T
% 0.74/1.17 ) }.
% 0.74/1.17 (893) {G0,W12,D3,L2,V7,M2} { ! alpha47( X, Y, Z, T ), X = skol16( X, U, W
% 0.74/1.17 , V0 ) }.
% 0.74/1.17 (894) {G0,W14,D3,L2,V4,M2} { ! alpha47( X, Y, Z, T ), alpha49( Y, Z, T,
% 0.74/1.17 skol16( X, Y, Z, T ) ) }.
% 0.74/1.17 (895) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha49( Y, Z, T, U ), alpha47( X
% 0.74/1.17 , Y, Z, T ) }.
% 0.74/1.17 (896) {G0,W12,D3,L2,V7,M2} { ! alpha49( X, Y, Z, T ), X = skol17( X, U, W
% 0.74/1.17 , V0 ) }.
% 0.74/1.17 (897) {G0,W13,D3,L2,V6,M2} { ! alpha49( X, Y, Z, T ), alpha2( Y, T, skol45
% 0.74/1.17 ( U, Y, W, T ) ) }.
% 0.74/1.17 (898) {G0,W12,D3,L2,V4,M2} { ! alpha49( X, Y, Z, T ), Z = skol17( X, Y, Z
% 0.74/1.17 , T ) }.
% 0.74/1.17 (899) {G0,W15,D2,L4,V6,M4} { ! X = U, ! alpha2( Y, T, W ), ! Z = U,
% 0.74/1.17 alpha49( X, Y, Z, T ) }.
% 0.74/1.17 (900) {G0,W19,D4,L2,V3,M2} { ! alpha23( X, Y, Z ), X = vabs( skol18( X, Y
% 0.74/1.17 , Z ), skol46( X, Y, Z ), skol64( X, Y, Z ) ) }.
% 0.74/1.17 (901) {G0,W10,D3,L2,V3,M2} { ! alpha23( X, Y, Z ), Z = skol18( X, Y, Z )
% 0.74/1.17 }.
% 0.74/1.17 (902) {G0,W19,D4,L2,V3,M2} { ! alpha23( X, Y, Z ), Y = vabs( skol18( X, Y
% 0.74/1.17 , Z ), skol46( X, Y, Z ), skol64( X, Y, Z ) ) }.
% 0.74/1.17 (903) {G0,W19,D3,L4,V6,M4} { ! X = vabs( T, U, W ), ! Z = T, ! Y = vabs( T
% 0.74/1.17 , U, W ), alpha23( X, Y, Z ) }.
% 0.74/1.17 (904) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), X = Z }.
% 0.74/1.17 (905) {G0,W8,D3,L2,V3,M2} { ! alpha18( X, Y, Z ), Y = skol19( Y ) }.
% 0.74/1.17 (906) {G0,W10,D2,L3,V4,M3} { ! X = Z, ! Y = T, alpha18( X, Y, Z ) }.
% 0.74/1.17 (907) {G0,W10,D3,L2,V5,M2} { ! alpha12( X, Y, Z ), ! Z = skol20( T, U, Z )
% 0.74/1.17 }.
% 0.74/1.17 (908) {G0,W11,D4,L2,V4,M2} { ! alpha12( X, Y, Z ), Y = vvar( skol20( T, Y
% 0.74/1.17 , Z ) ) }.
% 0.74/1.17 (909) {G0,W11,D4,L2,V3,M2} { ! alpha12( X, Y, Z ), X = vvar( skol20( X, Y
% 0.74/1.17 , Z ) ) }.
% 0.74/1.17 (910) {G0,W15,D3,L4,V4,M4} { ! X = vvar( T ), Z = T, ! Y = vvar( T ),
% 0.74/1.17 alpha12( X, Y, Z ) }.
% 0.74/1.17 (911) {G0,W7,D2,L2,V3,M2} { ! alpha6( X, Y, Z ), X = Z }.
% 0.74/1.17 (912) {G0,W8,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), Y = skol21( Y ) }.
% 0.74/1.17 (913) {G0,W10,D2,L3,V4,M3} { ! X = Z, ! Y = T, alpha6( X, Y, Z ) }.
% 0.74/1.17 (914) {G0,W8,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), X = vvar( Z ) }.
% 0.74/1.17 (915) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), Y = Z }.
% 0.74/1.17 (916) {G0,W11,D3,L3,V3,M3} { ! X = vvar( Z ), ! Y = Z, alpha2( X, Y, Z )
% 0.74/1.17 }.
% 0.74/1.17 (917) {G0,W4,D2,L2,V0,M2} { ! &&, vnoExp = vnoExp }.
% 0.74/1.17 (918) {G0,W8,D3,L2,V2,M2} { ! vsomeExp( X ) = vsomeExp( Y ), X = Y }.
% 0.74/1.17 (919) {G0,W8,D3,L2,V2,M2} { ! X = Y, vsomeExp( X ) = vsomeExp( Y ) }.
% 0.74/1.17 (920) {G0,W4,D3,L1,V1,M1} { ! vnoExp = vsomeExp( X ) }.
% 0.74/1.17 (921) {G0,W5,D2,L2,V1,M2} { ! X = vnoExp, ! visSomeExp( X ) }.
% 0.74/1.17 (922) {G0,W6,D3,L2,V2,M2} { ! X = vsomeExp( Y ), visSomeExp( X ) }.
% 0.74/1.17 (923) {G0,W11,D3,L3,V3,M3} { ! X = vsomeExp( Y ), ! Z = vgetSomeExp( X ),
% 0.74/1.17 Z = Y }.
% 0.74/1.17 (924) {G0,W11,D3,L3,V3,M3} { ! X = vvar( Y ), ! Z = vreduce( X ), Z =
% 0.74/1.17 vnoExp }.
% 0.74/1.17 (925) {G0,W13,D3,L3,V5,M3} { ! X = vabs( Y, Z, T ), ! U = vreduce( X ), U
% 0.74/1.17 = vnoExp }.
% 0.74/1.17 (926) {G0,W28,D5,L5,V7,M5} { ! Y = vapp( vabs( Z, T, U ), X ), ! W =
% 0.74/1.17 vreduce( X ), ! visSomeExp( W ), ! V0 = vreduce( Y ), V0 = vsomeExp( vapp
% 0.74/1.17 ( vabs( Z, T, U ), vgetSomeExp( W ) ) ) }.
% 0.74/1.17 (927) {G0,W27,D4,L6,V7,M6} { ! X = vapp( vabs( Y, U, T ), Z ), ! W =
% 0.74/1.17 vreduce( Z ), visSomeExp( W ), ! visValue( Z ), ! V0 = vreduce( X ), V0 =
% 0.74/1.17 vsomeExp( vsubst( Y, Z, T ) ) }.
% 0.74/1.17 (928) {G0,W23,D4,L6,V7,M6} { ! Y = vapp( vabs( Z, T, U ), X ), ! W =
% 0.74/1.17 vreduce( X ), visSomeExp( W ), visValue( X ), ! V0 = vreduce( Y ), V0 =
% 0.74/1.17 vnoExp }.
% 0.74/1.17 (929) {G0,W31,D5,L6,V5,M6} { ! Y = vapp( X, Z ), X = vabs( skol22( X ),
% 0.74/1.17 skol47( X ), skol65( X ) ), ! T = vreduce( X ), ! visSomeExp( T ), ! U =
% 0.74/1.17 vreduce( Y ), U = vsomeExp( vapp( vgetSomeExp( T ), Z ) ) }.
% 0.74/1.17 (930) {G0,W27,D4,L6,V5,M6} { ! Y = vapp( X, Z ), X = vabs( skol23( X ),
% 0.74/1.17 skol48( X ), skol66( X ) ), ! T = vreduce( X ), visSomeExp( T ), ! U =
% 0.74/1.17 vreduce( Y ), U = vnoExp }.
% 0.74/1.17 (931) {G0,W8,D3,L2,V3,M2} { alpha3( X, Y ), alpha13( Y, skol24( Z, Y ) )
% 0.74/1.17 }.
% 0.74/1.17 (932) {G0,W8,D3,L2,V2,M2} { alpha3( X, Y ), alpha7( X, skol24( X, Y ) )
% 0.74/1.17 }.
% 0.74/1.17 (933) {G0,W7,D3,L2,V4,M2} { ! alpha13( X, Y ), ! visSomeExp( skol25( Z, T
% 0.74/1.17 ) ) }.
% 0.74/1.17 (934) {G0,W9,D3,L2,V3,M2} { ! alpha13( X, Y ), skol25( Z, Y ) = vreduce( Y
% 0.74/1.17 ) }.
% 0.74/1.17 (935) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), X = vnoExp }.
% 0.74/1.17 (936) {G0,W12,D3,L4,V3,M4} { ! Z = vreduce( Y ), visSomeExp( Z ), ! X =
% 0.74/1.17 vnoExp, alpha13( X, Y ) }.
% 0.74/1.17 (937) {G0,W10,D4,L2,V2,M2} { ! alpha7( X, Y ), X = vapp( Y, skol26( X, Y )
% 0.74/1.17 ) }.
% 0.74/1.17 (938) {G0,W9,D3,L2,V5,M2} { ! alpha7( X, Y ), ! Y = vabs( Z, T, U ) }.
% 0.74/1.17 (939) {G0,W17,D4,L3,V3,M3} { ! X = vapp( Y, Z ), Y = vabs( skol49( Y ),
% 0.74/1.17 skol67( Y ), skol78( Y ) ), alpha7( X, Y ) }.
% 0.74/1.17 (940) {G0,W9,D2,L3,V2,M3} { ! alpha3( X, Y ), alpha8( X, Y ), alpha14( X,
% 0.74/1.17 Y ) }.
% 0.74/1.17 (941) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ), alpha3( X, Y ) }.
% 0.74/1.17 (942) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), alpha3( X, Y ) }.
% 0.74/1.17 (943) {G0,W11,D3,L2,V2,M2} { ! alpha14( X, Y ), alpha24( X, skol27( X, Y )
% 0.74/1.17 , skol50( X, Y ) ) }.
% 0.74/1.17 (944) {G0,W10,D3,L2,V2,M2} { ! alpha14( X, Y ), alpha19( skol27( X, Y ),
% 0.74/1.17 skol68( X, Y ) ) }.
% 0.74/1.17 (945) {G0,W14,D6,L2,V2,M2} { ! alpha14( X, Y ), Y = vsomeExp( vapp(
% 0.74/1.17 vgetSomeExp( skol68( X, Y ) ), skol50( X, Y ) ) ) }.
% 0.74/1.17 (946) {G0,W17,D5,L4,V5,M4} { ! alpha24( X, Z, T ), ! alpha19( Z, U ), ! Y
% 0.74/1.17 = vsomeExp( vapp( vgetSomeExp( U ), T ) ), alpha14( X, Y ) }.
% 0.74/1.17 (947) {G0,W9,D3,L2,V3,M2} { ! alpha24( X, Y, Z ), X = vapp( Y, Z ) }.
% 0.74/1.17 (948) {G0,W10,D3,L2,V6,M2} { ! alpha24( X, Y, Z ), ! Y = vabs( T, U, W )
% 0.74/1.17 }.
% 0.74/1.17 (949) {G0,W18,D4,L3,V3,M3} { ! X = vapp( Y, Z ), Y = vabs( skol28( Y ),
% 0.74/1.17 skol51( Y ), skol69( Y ) ), alpha24( X, Y, Z ) }.
% 0.74/1.17 (950) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), Y = vreduce( X ) }.
% 0.74/1.17 (951) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), visSomeExp( Y ) }.
% 0.74/1.17 (952) {G0,W9,D3,L3,V2,M3} { ! Y = vreduce( X ), ! visSomeExp( Y ), alpha19
% 0.74/1.17 ( X, Y ) }.
% 0.74/1.17 (953) {G0,W9,D2,L3,V2,M3} { ! alpha8( X, Y ), alpha15( X, Y ), alpha20( X
% 0.74/1.17 , Y ) }.
% 0.74/1.17 (954) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), alpha8( X, Y ) }.
% 0.74/1.17 (955) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), alpha8( X, Y ) }.
% 0.74/1.17 (956) {G0,W8,D3,L2,V3,M2} { ! alpha20( X, Y ), alpha25( Y, skol29( Z, Y )
% 0.74/1.17 ) }.
% 0.74/1.17 (957) {G0,W19,D5,L2,V2,M2} { ! alpha20( X, Y ), X = vapp( vabs( skol52( X
% 0.74/1.17 , Y ), skol70( X, Y ), skol79( X, Y ) ), skol29( X, Y ) ) }.
% 0.74/1.17 (958) {G0,W14,D4,L3,V6,M3} { ! X = vapp( vabs( T, U, W ), Z ), ! alpha25(
% 0.74/1.17 Y, Z ), alpha20( X, Y ) }.
% 0.74/1.17 (959) {G0,W8,D3,L2,V3,M2} { ! alpha25( X, Y ), alpha29( Y, skol30( Z, Y )
% 0.74/1.17 ) }.
% 0.74/1.17 (960) {G0,W6,D2,L2,V2,M2} { ! alpha25( X, Y ), X = vnoExp }.
% 0.74/1.17 (961) {G0,W9,D2,L3,V3,M3} { ! alpha29( Y, Z ), ! X = vnoExp, alpha25( X, Y
% 0.74/1.17 ) }.
% 0.74/1.17 (962) {G0,W7,D3,L2,V2,M2} { ! alpha29( X, Y ), Y = vreduce( X ) }.
% 0.74/1.17 (963) {G0,W5,D2,L2,V2,M2} { ! alpha29( X, Y ), ! visSomeExp( Y ) }.
% 0.74/1.17 (964) {G0,W5,D2,L2,V2,M2} { ! alpha29( X, Y ), ! visValue( X ) }.
% 0.74/1.17 (965) {G0,W11,D3,L4,V2,M4} { ! Y = vreduce( X ), visSomeExp( Y ), visValue
% 0.74/1.17 ( X ), alpha29( X, Y ) }.
% 0.74/1.17 (966) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), alpha21( X, Y ), alpha26( X
% 0.74/1.17 , Y ) }.
% 0.74/1.17 (967) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), alpha15( X, Y ) }.
% 0.74/1.17 (968) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), alpha15( X, Y ) }.
% 0.74/1.17 (969) {G0,W19,D5,L2,V2,M2} { ! alpha26( X, Y ), X = vapp( vabs( skol31( X
% 0.74/1.17 , Y ), skol80( X, Y ), skol71( X, Y ) ), skol53( X, Y ) ) }.
% 0.74/1.17 (970) {G0,W10,D3,L2,V2,M2} { ! alpha26( X, Y ), alpha30( skol53( X, Y ),
% 0.74/1.17 skol83( X, Y ) ) }.
% 0.74/1.17 (971) {G0,W16,D5,L2,V2,M2} { ! alpha26( X, Y ), Y = vsomeExp( vsubst(
% 0.74/1.17 skol31( X, Y ), skol53( X, Y ), skol71( X, Y ) ) ) }.
% 0.74/1.17 (972) {G0,W21,D4,L4,V7,M4} { ! X = vapp( vabs( Z, W, U ), T ), ! alpha30(
% 0.74/1.17 T, V0 ), ! Y = vsomeExp( vsubst( Z, T, U ) ), alpha26( X, Y ) }.
% 0.74/1.17 (973) {G0,W7,D3,L2,V2,M2} { ! alpha30( X, Y ), Y = vreduce( X ) }.
% 0.74/1.17 (974) {G0,W5,D2,L2,V2,M2} { ! alpha30( X, Y ), ! visSomeExp( Y ) }.
% 0.74/1.17 (975) {G0,W5,D2,L2,V2,M2} { ! alpha30( X, Y ), visValue( X ) }.
% 0.74/1.17 (976) {G0,W11,D3,L4,V2,M4} { ! Y = vreduce( X ), visSomeExp( Y ), !
% 0.74/1.17 visValue( X ), alpha30( X, Y ) }.
% 0.74/1.17 (977) {G0,W9,D2,L3,V2,M3} { ! alpha21( X, Y ), alpha27( X, Y ), alpha31( X
% 0.74/1.17 , Y ) }.
% 0.74/1.17 (978) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), alpha21( X, Y ) }.
% 0.74/1.17 (979) {G0,W6,D2,L2,V2,M2} { ! alpha31( X, Y ), alpha21( X, Y ) }.
% 0.74/1.17 (980) {G0,W19,D5,L2,V2,M2} { ! alpha31( X, Y ), X = vapp( vabs( skol54( X
% 0.74/1.17 , Y ), skol72( X, Y ), skol81( X, Y ) ), skol32( X, Y ) ) }.
% 0.74/1.17 (981) {G0,W10,D3,L2,V2,M2} { ! alpha31( X, Y ), alpha35( skol32( X, Y ),
% 0.74/1.17 skol84( X, Y ) ) }.
% 0.74/1.17 (982) {G0,W21,D6,L2,V2,M2} { ! alpha31( X, Y ), Y = vsomeExp( vapp( vabs(
% 0.74/1.17 skol54( X, Y ), skol72( X, Y ), skol81( X, Y ) ), vgetSomeExp( skol84( X
% 0.74/1.17 , Y ) ) ) ) }.
% 0.74/1.17 (983) {G0,W24,D5,L4,V7,M4} { ! X = vapp( vabs( T, U, W ), Z ), ! alpha35(
% 0.74/1.17 Z, V0 ), ! Y = vsomeExp( vapp( vabs( T, U, W ), vgetSomeExp( V0 ) ) ),
% 0.74/1.17 alpha31( X, Y ) }.
% 0.74/1.17 (984) {G0,W7,D3,L2,V2,M2} { ! alpha35( X, Y ), Y = vreduce( X ) }.
% 0.74/1.17 (985) {G0,W5,D2,L2,V2,M2} { ! alpha35( X, Y ), visSomeExp( Y ) }.
% 0.74/1.17 (986) {G0,W9,D3,L3,V2,M3} { ! Y = vreduce( X ), ! visSomeExp( Y ), alpha35
% 0.74/1.17 ( X, Y ) }.
% 0.74/1.17 (987) {G0,W15,D4,L3,V2,M3} { ! alpha27( X, Y ), alpha32( X, Y ), X = vabs
% 0.74/1.17 ( skol33( X ), skol55( X ), skol73( X ) ) }.
% 0.74/1.17 (988) {G0,W9,D2,L3,V2,M3} { ! alpha27( X, Y ), alpha32( X, Y ), Y = vnoExp
% 0.74/1.17 }.
% 0.74/1.17 (989) {G0,W6,D2,L2,V2,M2} { ! alpha32( X, Y ), alpha27( X, Y ) }.
% 0.74/1.17 (990) {G0,W12,D3,L3,V5,M3} { ! X = vabs( Z, T, U ), ! Y = vnoExp, alpha27
% 0.74/1.17 ( X, Y ) }.
% 0.74/1.17 (991) {G0,W12,D4,L3,V2,M3} { ! alpha32( X, Y ), ! vreduce( X ) = Y, X =
% 0.74/1.17 vvar( skol34( X ) ) }.
% 0.74/1.17 (992) {G0,W10,D3,L3,V2,M3} { ! alpha32( X, Y ), ! vreduce( X ) = Y, Y =
% 0.74/1.17 vnoExp }.
% 0.74/1.17 (993) {G0,W7,D3,L2,V2,M2} { vreduce( X ) = Y, alpha32( X, Y ) }.
% 0.74/1.17 (994) {G0,W10,D3,L3,V3,M3} { ! X = vvar( Z ), ! Y = vnoExp, alpha32( X, Y
% 0.74/1.17 ) }.
% 0.74/1.17 (995) {G0,W10,D3,L2,V4,M2} { ! varrow( X, Y ) = varrow( Z, T ), X = Z }.
% 0.74/1.17 (996) {G0,W10,D3,L2,V4,M2} { ! varrow( X, Y ) = varrow( Z, T ), Y = T }.
% 0.74/1.17 (997) {G0,W13,D3,L3,V4,M3} { ! X = Z, ! Y = T, varrow( X, Y ) = varrow( Z
% 0.74/1.17 , T ) }.
% 0.74/1.17 (998) {G0,W11,D3,L2,V3,M2} { ! vlookup( Y, X ) = vsomeType( Z ), vtcheck(
% 0.74/1.17 X, vvar( Y ), Z ) }.
% 0.74/1.17 (999) {G0,W16,D3,L2,V5,M2} { ! vtcheck( vbind( Y, T, X ), Z, U ), vtcheck
% 0.74/1.51 ( X, vabs( Y, T, Z ), varrow( T, U ) ) }.
% 0.74/1.51 (1000) {G0,W16,D3,L3,V5,M3} { ! vtcheck( X, Y, varrow( U, T ) ), ! vtcheck
% 0.74/1.51 ( X, Z, U ), vtcheck( X, vapp( Y, Z ), T ) }.
% 0.74/1.51 (1001) {G0,W15,D4,L2,V3,M2} { alpha4( X, Y, Z ), X = vapp( skol35( X, Y, Z
% 0.74/1.51 ), skol56( X, Y, Z ) ) }.
% 0.74/1.51 (1002) {G0,W16,D4,L2,V3,M2} { alpha4( X, Y, Z ), vtcheck( Z, skol35( X, Y
% 0.74/1.51 , Z ), varrow( skol74( X, Y, Z ), Y ) ) }.
% 0.74/1.51 (1003) {G0,W14,D3,L2,V3,M2} { alpha4( X, Y, Z ), vtcheck( Z, skol56( X, Y
% 0.74/1.51 , Z ), skol74( X, Y, Z ) ) }.
% 0.74/1.51 (1004) {G0,W12,D2,L3,V3,M3} { ! alpha4( X, Y, Z ), alpha9( X, Y, Z ),
% 0.74/1.51 alpha16( X, Y, Z ) }.
% 0.74/1.51 (1005) {G0,W8,D2,L2,V3,M2} { ! alpha9( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.74/1.51 (1006) {G0,W8,D2,L2,V3,M2} { ! alpha16( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.74/1.51 (1007) {G0,W19,D4,L2,V3,M2} { ! alpha16( X, Y, Z ), X = vabs( skol36( X, Y
% 0.74/1.51 , Z ), skol75( X, Y, Z ), skol57( X, Y, Z ) ) }.
% 0.74/1.51 (1008) {G0,W15,D4,L2,V3,M2} { ! alpha16( X, Y, Z ), Y = varrow( skol75( X
% 0.74/1.51 , Y, Z ), skol82( X, Y, Z ) ) }.
% 0.74/1.51 (1009) {G0,W23,D4,L2,V3,M2} { ! alpha16( X, Y, Z ), vtcheck( vbind( skol36
% 0.74/1.51 ( X, Y, Z ), skol75( X, Y, Z ), Z ), skol57( X, Y, Z ), skol82( X, Y, Z )
% 0.74/1.51 ) }.
% 0.74/1.51 (1010) {G0,W22,D3,L4,V7,M4} { ! X = vabs( T, W, U ), ! Y = varrow( W, V0 )
% 0.74/1.51 , ! vtcheck( vbind( T, W, Z ), U, V0 ), alpha16( X, Y, Z ) }.
% 0.74/1.51 (1011) {G0,W15,D4,L3,V5,M3} { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ), X
% 0.74/1.51 = vvar( skol37( X, T, U ) ) }.
% 0.74/1.51 (1012) {G0,W17,D4,L3,V3,M3} { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ),
% 0.74/1.51 vlookup( skol37( X, Y, Z ), Z ) = vsomeType( Y ) }.
% 0.74/1.51 (1013) {G0,W8,D2,L2,V3,M2} { vtcheck( Z, X, Y ), alpha9( X, Y, Z ) }.
% 0.74/1.51 (1014) {G0,W14,D3,L3,V4,M3} { ! X = vvar( T ), ! vlookup( T, Z ) =
% 0.74/1.51 vsomeType( Y ), alpha9( X, Y, Z ) }.
% 0.74/1.51 (1015) {G0,W16,D3,L3,V5,M3} { ! vlookup( X, Y ) = vnoType, ! vtcheck( Y, Z
% 0.74/1.51 , T ), vtcheck( vbind( X, U, Y ), Z, T ) }.
% 0.74/1.51 (1016) {G0,W14,D3,L3,V5,M3} { visFreeVar( T, Y ), ! vtcheck( vbind( T, U,
% 0.74/1.51 X ), Y, Z ), vtcheck( X, Y, Z ) }.
% 0.74/1.51 (1017) {G0,W11,D3,L3,V1,M3} { ! vtcheck( vempty, ve1, X ), visValue( ve1 )
% 0.74/1.51 , vreduce( ve1 ) = vsomeExp( skol38 ) }.
% 0.74/1.51 (1018) {G0,W7,D3,L1,V0,M1} { vtcheck( vempty, vabs( skol39, skol58, ve1 )
% 0.74/1.51 , skol76 ) }.
% 0.74/1.51 (1019) {G0,W5,D3,L1,V0,M1} { ! visValue( vabs( skol39, skol58, ve1 ) ) }.
% 0.74/1.51 (1020) {G0,W8,D4,L1,V1,M1} { ! vreduce( vabs( skol39, skol58, ve1 ) ) =
% 0.74/1.51 vsomeExp( X ) }.
% 0.74/1.51
% 0.74/1.51
% 0.74/1.51 Total Proof:
% 0.74/1.51
% 0.74/1.51 subsumption: (12) {G0,W8,D3,L2,V4,M2} I { ! X = vabs( Y, Z, T ), visValue(
% 0.74/1.51 X ) }.
% 0.74/1.51 parent0: (782) {G0,W8,D3,L2,V4,M2} { ! X = vabs( Y, Z, T ), visValue( X )
% 0.74/1.51 }.
% 0.74/1.51 substitution0:
% 0.74/1.51 X := X
% 0.74/1.51 Y := Y
% 0.74/1.51 Z := Z
% 0.74/1.51 T := T
% 0.74/1.51 end
% 0.74/1.51 permutation0:
% 0.74/1.51 0 ==> 0
% 0.74/1.51 1 ==> 1
% 0.74/1.51 end
% 0.74/1.51
% 0.74/1.51 *** allocated 50625 integers for termspace/termends
% 0.74/1.51 *** allocated 113905 integers for clauses
% 0.74/1.51 *** allocated 15000 integers for justifications
% 0.74/1.51 *** allocated 22500 integers for justifications
% 0.74/1.51 *** allocated 75937 integers for termspace/termends
% 0.74/1.51 *** allocated 33750 integers for justifications
% 0.74/1.51 *** allocated 50625 integers for justifications
% 0.74/1.51 *** allocated 113905 integers for termspace/termends
% 0.74/1.51 *** allocated 170857 integers for clauses
% 0.74/1.51 *** allocated 170857 integers for termspace/termends
% 0.74/1.51 *** allocated 256285 integers for termspace/termends
% 0.74/1.51 *** allocated 75937 integers for justifications
% 0.74/1.51 *** allocated 256285 integers for clauses
% 0.74/1.51 *** allocated 113905 integers for justifications
% 0.74/1.51 subsumption: (246) {G0,W5,D3,L1,V0,M1} I { ! visValue( vabs( skol39, skol58
% 0.74/1.51 , ve1 ) ) }.
% 0.74/1.51 parent0: (1019) {G0,W5,D3,L1,V0,M1} { ! visValue( vabs( skol39, skol58,
% 0.74/1.51 ve1 ) ) }.
% 0.74/1.51 substitution0:
% 0.74/1.51 end
% 0.74/1.51 permutation0:
% 0.74/1.51 0 ==> 0
% 0.74/1.51 end
% 0.74/1.51
% 0.74/1.51 eqswap: (7487) {G0,W8,D3,L2,V4,M2} { ! vabs( Y, Z, T ) = X, visValue( X )
% 0.74/1.51 }.
% 0.74/1.51 parent0[0]: (12) {G0,W8,D3,L2,V4,M2} I { ! X = vabs( Y, Z, T ), visValue( X
% 0.74/1.51 ) }.
% 0.74/1.51 substitution0:
% 0.74/1.51 X := X
% 0.74/1.51 Y := Y
% 0.74/1.51 Z := Z
% 0.74/1.51 T := T
% 0.74/1.51 end
% 0.74/1.51
% 0.74/1.51 eqrefl: (7488) {G0,W5,D3,L1,V3,M1} { visValue( vabs( X, Y, Z ) ) }.
% 0.74/1.51 parent0[0]: (7487) {G0,W8,D3,L2,V4,M2} { ! vabs( Y, Z, T ) = X, visValue(
% 0.74/1.51 X ) }.
% 0.74/1.51 substitution0:
% 0.74/1.51 X := vabs( X, Y, Z )
% 0.74/1.51 Y := X
% 0.74/1.51 Z := Y
% 0.74/1.51 T := Z
% 0.74/1.51 end
% 0.74/1.51
% 0.74/1.51 subsumption: (264) {G1,W5,D3,L1,V3,M1} Q(12) { visValue( vabs( X, Y, Z ) )
% 0.74/1.51 }.
% 0.74/1.51 parent0: (7488) {G0,W5,D3,L1,V3,M1} { visValue( vabs( X, Y, Z ) ) }.
% 0.74/1.51 substitution0:
% 0.74/1.51 X := X
% 0.74/1.51 Y := Y
% 0.74/1.51 Z := Z
% 0.74/1.51 end
% 0.74/1.51 permutation0:
% 0.74/1.51 0 ==> 0
% 0.74/1.51 end
% 0.74/1.51
% 0.74/1.51 resolution: (7489) {G1,W0,D0,L0,V0,M0} { }.
% 0.74/1.51 parent0[0]: (246) {G0,W5,D3,L1,V0,M1} I { ! visValue( vabs( skol39, skol58
% 0.74/1.51 , ve1 ) ) }.
% 0.74/1.51 parent1[0]: (264) {G1,W5,D3,L1,V3,M1} Q(12) { visValue( vabs( X, Y, Z ) )
% 0.74/1.51 }.
% 0.74/1.51 substitution0:
% 0.74/1.51 end
% 0.74/1.51 substitution1:
% 0.74/1.51 X := skol39
% 0.74/1.51 Y := skol58
% 0.74/1.51 Z := ve1
% 0.74/1.51 end
% 0.74/1.51
% 0.74/1.51 subsumption: (768) {G2,W0,D0,L0,V0,M0} S(246);r(264) { }.
% 0.74/1.51 parent0: (7489) {G1,W0,D0,L0,V0,M0} { }.
% 0.74/1.51 substitution0:
% 0.74/1.51 end
% 0.74/1.51 permutation0:
% 0.74/1.51 end
% 0.74/1.51
% 0.74/1.51 Proof check complete!
% 0.74/1.51
% 0.74/1.51 Memory use:
% 0.74/1.51
% 0.74/1.51 space for terms: 19527
% 0.74/1.51 space for clauses: 48392
% 0.74/1.51
% 0.74/1.51
% 0.74/1.51 clauses generated: 2366
% 0.74/1.51 clauses kept: 769
% 0.74/1.51 clauses selected: 38
% 0.74/1.51 clauses deleted: 1
% 0.74/1.51 clauses inuse deleted: 0
% 0.74/1.51
% 0.74/1.51 subsentry: 1523549
% 0.74/1.51 literals s-matched: 101119
% 0.74/1.51 literals matched: 64208
% 0.74/1.51 full subsumption: 57491
% 0.74/1.51
% 0.74/1.51 checksum: 2124945154
% 0.74/1.51
% 0.74/1.51
% 0.74/1.51 Bliksem ended
%------------------------------------------------------------------------------