%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COM146+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 1.32s 1.73s
% Output : Refutation 1.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : COM146+1 : TPTP v8.1.0. Released v6.4.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Jun 16 18:54:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.69/1.13 *** allocated 10000 integers for termspace/termends
% 0.69/1.13 *** allocated 10000 integers for clauses
% 0.69/1.13 *** allocated 10000 integers for justifications
% 0.69/1.13 Bliksem 1.12
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 Automatic Strategy Selection
% 0.69/1.13
% 0.69/1.13 *** allocated 15000 integers for termspace/termends
% 0.69/1.13
% 0.69/1.13 Clauses:
% 0.69/1.13
% 0.69/1.13 { ! vvar( X ) = vvar( Y ), X = Y }.
% 0.69/1.13 { ! X = Y, vvar( X ) = vvar( Y ) }.
% 0.69/1.13 { ! vabs( X, Y, Z ) = vabs( T, U, W ), X = T }.
% 0.69/1.13 { ! vabs( X, Y, Z ) = vabs( T, U, W ), Y = U }.
% 0.69/1.13 { ! vabs( X, Y, Z ) = vabs( T, U, W ), Z = W }.
% 0.69/1.13 { ! X = T, ! Y = U, ! Z = W, vabs( X, Y, Z ) = vabs( T, U, W ) }.
% 0.69/1.13 { ! vapp( X, Y ) = vapp( Z, T ), X = Z }.
% 0.69/1.13 { ! vapp( X, Y ) = vapp( Z, T ), Y = T }.
% 0.69/1.13 { ! X = Z, ! Y = T, vapp( X, Y ) = vapp( Z, T ) }.
% 0.69/1.13 { ! vvar( X ) = vabs( Y, Z, T ) }.
% 0.69/1.13 { ! vvar( X ) = vapp( Y, Z ) }.
% 0.69/1.13 { ! vabs( X, Y, Z ) = vapp( T, U ) }.
% 0.69/1.13 { ! X = vabs( Y, Z, T ), visValue( X ) }.
% 0.69/1.13 { ! X = vvar( Y ), ! visValue( X ) }.
% 0.69/1.13 { ! X = vapp( Y, Z ), ! visValue( X ) }.
% 0.69/1.13 { ! X = T, ! Y = vvar( Z ), ! Z = T, visFreeVar( X, Y ) }.
% 0.69/1.13 { ! X = T, ! Y = vvar( Z ), ! visFreeVar( X, Y ), Z = T }.
% 0.69/1.13 { ! X = T, ! Y = vabs( Z, W, U ), Z = T, ! visFreeVar( T, U ), visFreeVar(
% 0.69/1.13 X, Y ) }.
% 0.69/1.13 { ! X = T, ! Y = vabs( Z, W, U ), ! visFreeVar( X, Y ), ! Z = T }.
% 0.69/1.13 { ! X = T, ! Y = vabs( Z, W, U ), ! visFreeVar( X, Y ), visFreeVar( T, U )
% 0.69/1.13 }.
% 0.69/1.13 { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( T, Z ), visFreeVar( X, Y ) }.
% 0.69/1.13 { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( T, U ), visFreeVar( X, Y ) }.
% 0.69/1.13 { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( X, Y ), visFreeVar( T, Z ),
% 0.69/1.13 visFreeVar( T, U ) }.
% 0.69/1.13 { ! &&, vempty = vempty }.
% 0.69/1.13 { ! vbind( X, Y, Z ) = vbind( T, U, W ), X = T }.
% 0.69/1.13 { ! vbind( X, Y, Z ) = vbind( T, U, W ), Y = U }.
% 0.69/1.13 { ! vbind( X, Y, Z ) = vbind( T, U, W ), Z = W }.
% 0.69/1.13 { ! X = T, ! Y = U, ! Z = W, vbind( X, Y, Z ) = vbind( T, U, W ) }.
% 0.69/1.13 { ! &&, vnoType = vnoType }.
% 0.69/1.13 { ! vsomeType( X ) = vsomeType( Y ), X = Y }.
% 0.69/1.13 { ! X = Y, vsomeType( X ) = vsomeType( Y ) }.
% 0.69/1.13 { ! vempty = vbind( X, Y, Z ) }.
% 0.69/1.13 { ! vnoType = vsomeType( X ) }.
% 0.69/1.13 { ! X = vnoType, ! visSomeType( X ) }.
% 0.69/1.13 { ! X = vsomeType( Y ), visSomeType( X ) }.
% 0.69/1.13 { ! X = vsomeType( Y ), ! Z = vgetSomeType( X ), Z = Y }.
% 0.69/1.13 { ! X = Z, ! Y = vempty, ! T = vlookup( X, Y ), T = vnoType }.
% 0.69/1.13 { ! Z = X, ! T = vbind( Y, U, W ), ! X = Y, ! V0 = vlookup( Z, T ), V0 =
% 0.69/1.13 vsomeType( U ) }.
% 0.69/1.13 { ! Y = T, ! Z = vbind( X, W, U ), T = X, ! V0 = vlookup( Y, Z ), V0 =
% 0.69/1.13 vlookup( T, U ) }.
% 0.69/1.13 { alpha5( X, Y, Z ), X = skol1( X, T, U ) }.
% 0.69/1.13 { alpha5( X, Y, Z ), alpha10( Y, Z, skol1( X, Y, Z ) ) }.
% 0.69/1.13 { ! alpha10( X, Y, Z ), Y = vlookup( Z, skol39( T, Y, Z ) ) }.
% 0.69/1.13 { ! alpha10( X, Y, Z ), ! Z = skol2( X, Y, Z ) }.
% 0.69/1.13 { ! alpha10( X, Y, Z ), X = vbind( skol2( X, Y, Z ), skol58( X, Y, Z ),
% 0.69/1.13 skol39( X, Y, Z ) ) }.
% 0.69/1.13 { ! X = vbind( T, W, U ), Z = T, ! Y = vlookup( Z, U ), alpha10( X, Y, Z )
% 0.69/1.13 }.
% 0.69/1.13 { ! alpha5( X, Y, Z ), alpha11( X, Y, Z ), alpha17( X, Y, Z ) }.
% 0.69/1.13 { ! alpha11( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.69/1.13 { ! alpha17( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.69/1.13 { ! alpha17( X, Y, Z ), X = skol3( X, T, U ) }.
% 0.69/1.13 { ! alpha17( X, Y, Z ), alpha22( Y, Z, skol3( X, Y, Z ) ) }.
% 0.69/1.13 { ! X = T, ! alpha22( Y, Z, T ), alpha17( X, Y, Z ) }.
% 0.69/1.13 { ! alpha22( X, Y, Z ), Y = vsomeType( skol40( T, Y, U ) ) }.
% 0.69/1.13 { ! alpha22( X, Y, Z ), Z = skol4( X, Y, Z ) }.
% 0.69/1.13 { ! alpha22( X, Y, Z ), X = vbind( skol4( X, Y, Z ), skol40( X, Y, Z ),
% 0.69/1.13 skol59( X, Y, Z ) ) }.
% 0.69/1.13 { ! X = vbind( T, U, W ), ! Z = T, ! Y = vsomeType( U ), alpha22( X, Y, Z )
% 0.69/1.13 }.
% 0.69/1.13 { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z, alpha1( X, Y ) }.
% 0.69/1.13 { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z, Z = vnoType }.
% 0.69/1.13 { vlookup( X, Y ) = Z, alpha11( X, Y, Z ) }.
% 0.69/1.13 { ! alpha1( X, Y ), ! Z = vnoType, alpha11( X, Y, Z ) }.
% 0.69/1.13 { ! alpha1( X, Y ), X = skol5( X ) }.
% 0.69/1.13 { ! alpha1( X, Y ), Y = vempty }.
% 0.69/1.13 { ! X = Z, ! Y = vempty, alpha1( X, Y ) }.
% 0.69/1.13 { ! X = W, ! vtcheck( vbind( X, Y, vbind( W, V0, Z ) ), T, U ), vtcheck(
% 0.69/1.13 vbind( X, Y, Z ), T, U ) }.
% 0.69/1.13 { Z = X, ! vtcheck( vbind( Z, T, vbind( X, Y, U ) ), W, V0 ), vtcheck(
% 0.69/1.13 vbind( X, Y, vbind( Z, T, U ) ), W, V0 ) }.
% 0.69/1.13 { ! vgensym( Y ) = X, ! visFreeVar( X, Y ) }.
% 0.69/1.13 { ! Z = X, ! T = W, ! U = vvar( Y ), ! X = Y, ! V0 = vsubst( Z, T, U ), V0
% 0.69/1.13 = W }.
% 0.69/1.13 { ! Y = X, ! Z = W, ! T = vvar( U ), X = U, ! V0 = vsubst( Y, Z, T ), V0 =
% 0.69/1.13 vvar( U ) }.
% 0.69/1.13 { ! X = U, ! Y = W, ! Z = vapp( T, V0 ), ! V1 = vsubst( X, Y, Z ), V1 =
% 0.69/1.13 vapp( vsubst( U, W, T ), vsubst( U, W, V0 ) ) }.
% 0.69/1.13 { ! Y = X, ! Z = V1, ! T = vabs( U, W, V0 ), ! X = U, ! V2 = vsubst( Y, Z,
% 0.69/1.13 T ), V2 = vabs( U, W, V0 ) }.
% 0.69/1.13 { ! X = T, ! Y = U, ! Z = vabs( V0, W, V1 ), T = V0, ! visFreeVar( V0, U )
% 0.69/1.13 , ! V2 = vgensym( vapp( vapp( U, V1 ), vvar( T ) ) ), ! V3 = vsubst( X, Y
% 0.69/1.13 , Z ), V3 = vsubst( T, U, vabs( V2, W, vsubst( V0, vvar( V2 ), V1 ) ) ) }
% 0.69/1.13 .
% 0.69/1.13 { ! X = W, ! Y = V0, ! Z = vabs( T, U, V1 ), W = T, visFreeVar( T, V0 ), !
% 0.69/1.13 V2 = vsubst( X, Y, Z ), V2 = vabs( T, U, vsubst( W, V0, V1 ) ) }.
% 0.69/1.13 { alpha28( X, Y, Z, T ), X = skol6( X, U, W, V0 ) }.
% 0.69/1.13 { alpha28( X, Y, Z, T ), alpha33( Y, Z, T, skol6( X, Y, Z, T ) ) }.
% 0.69/1.13 { ! alpha33( X, Y, Z, T ), X = skol7( X, U, W, V0 ) }.
% 0.69/1.13 { ! alpha33( X, Y, Z, T ), alpha36( Y, Z, T, skol7( X, Y, Z, T ) ) }.
% 0.69/1.13 { ! X = U, ! alpha36( Y, Z, T, U ), alpha33( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha36( X, Y, Z, T ), alpha39( X, Z, skol8( X, Y, Z, T ), skol41( X, Y
% 0.69/1.13 , Z, T ), skol60( X, Y, Z, T ) ) }.
% 0.69/1.13 { ! alpha36( X, Y, Z, T ), ! visFreeVar( skol8( X, Y, Z, T ), T ) }.
% 0.69/1.13 { ! alpha36( X, Y, Z, T ), Y = vabs( skol8( X, Y, Z, T ), skol41( X, Y, Z,
% 0.69/1.13 T ), vsubst( Z, T, skol60( X, Y, Z, T ) ) ) }.
% 0.69/1.13 { ! alpha39( X, Z, U, W, V0 ), visFreeVar( U, T ), ! Y = vabs( U, W, vsubst
% 0.69/1.13 ( Z, T, V0 ) ), alpha36( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha39( X, Y, Z, T, U ), X = vabs( Z, T, U ) }.
% 0.69/1.13 { ! alpha39( X, Y, Z, T, U ), ! Y = Z }.
% 0.69/1.13 { ! X = vabs( Z, T, U ), Y = Z, alpha39( X, Y, Z, T, U ) }.
% 0.69/1.13 { ! alpha28( X, Y, Z, T ), alpha34( X, Y, Z, T ), alpha37( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha34( X, Y, Z, T ), alpha28( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha37( X, Y, Z, T ), alpha28( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha37( X, Y, Z, T ), X = skol9( X, U, W, V0 ) }.
% 0.69/1.13 { ! alpha37( X, Y, Z, T ), alpha40( Y, Z, T, skol9( X, Y, Z, T ) ) }.
% 0.69/1.13 { ! X = U, ! alpha40( Y, Z, T, U ), alpha37( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha40( X, Y, Z, T ), X = skol10( X, U, W, V0 ) }.
% 0.69/1.13 { ! alpha40( X, Y, Z, T ), alpha42( Y, Z, T, skol10( X, Y, Z, T ) ) }.
% 0.69/1.13 { ! X = U, ! alpha42( Y, Z, T, U ), alpha40( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha42( X, Y, Z, T ), alpha48( X, Z, T, skol11( X, Y, Z, T ), skol42(
% 0.69/1.13 X, Y, Z, T ), skol61( X, Y, Z, T ) ) }.
% 0.69/1.13 { ! alpha42( X, Y, Z, T ), skol76( X, Y, Z, T ) = vgensym( vapp( vapp( T,
% 0.69/1.13 skol61( X, Y, Z, T ) ), vvar( Z ) ) ) }.
% 0.69/1.13 { ! alpha42( X, Y, Z, T ), Y = vsubst( Z, T, vabs( skol76( X, Y, Z, T ),
% 0.69/1.13 skol11( X, Y, Z, T ), vsubst( skol42( X, Y, Z, T ), vvar( skol76( X, Y, Z
% 0.69/1.13 , T ) ), skol61( X, Y, Z, T ) ) ) ) }.
% 0.69/1.13 { ! alpha48( X, Z, T, U, W, V0 ), ! V1 = vgensym( vapp( vapp( T, V0 ), vvar
% 0.69/1.13 ( Z ) ) ), ! Y = vsubst( Z, T, vabs( V1, U, vsubst( W, vvar( V1 ), V0 ) )
% 0.69/1.13 ), alpha42( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha48( X, Y, Z, T, U, W ), alpha45( X, Y, T, U, W ) }.
% 0.69/1.13 { ! alpha48( X, Y, Z, T, U, W ), visFreeVar( U, Z ) }.
% 0.69/1.13 { ! alpha45( X, Y, T, U, W ), ! visFreeVar( U, Z ), alpha48( X, Y, Z, T, U
% 0.69/1.13 , W ) }.
% 0.69/1.13 { ! alpha45( X, Y, Z, T, U ), X = vabs( T, Z, U ) }.
% 0.69/1.13 { ! alpha45( X, Y, Z, T, U ), ! Y = T }.
% 0.69/1.13 { ! X = vabs( T, Z, U ), Y = T, alpha45( X, Y, Z, T, U ) }.
% 0.69/1.13 { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z, T ), alpha23( Z, T, skol12( U
% 0.69/1.13 , W, Z, T ) ) }.
% 0.69/1.13 { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z, T ), alpha18( X, Y, skol12( X
% 0.69/1.13 , Y, Z, T ) ) }.
% 0.69/1.13 { ! alpha38( X, Y, Z, T ), alpha34( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha18( X, Y, U ), ! alpha23( Z, T, U ), alpha34( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha38( X, Y, Z, T ), alpha41( X, Y, Z, T ), alpha43( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha41( X, Y, Z, T ), alpha38( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha43( X, Y, Z, T ), alpha38( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha43( X, Y, Z, T ), X = skol13( X, U, W, V0 ) }.
% 0.69/1.13 { ! alpha43( X, Y, Z, T ), alpha46( Y, Z, T, skol13( X, Y, Z, T ) ) }.
% 0.69/1.13 { ! X = U, ! alpha46( Y, Z, T, U ), alpha43( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha46( X, Y, Z, T ), X = skol14( X, U, W, V0 ) }.
% 0.69/1.13 { ! alpha46( X, Y, Z, T ), Y = vapp( skol43( X, Y, Z, T ), skol62( X, Y, Z
% 0.69/1.13 , T ) ) }.
% 0.69/1.13 { ! alpha46( X, Y, Z, T ), Z = vapp( vsubst( T, skol14( X, Y, Z, T ),
% 0.69/1.13 skol43( X, Y, Z, T ) ), vsubst( T, skol14( X, Y, Z, T ), skol62( X, Y, Z
% 0.69/1.13 , T ) ) ) }.
% 0.69/1.13 { ! X = U, ! Y = vapp( W, V0 ), ! Z = vapp( vsubst( T, U, W ), vsubst( T, U
% 0.69/1.13 , V0 ) ), alpha46( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z, T ), alpha12( Z, T, skol15( U
% 0.69/1.13 , W, Z, T ) ) }.
% 0.69/1.13 { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z, T ), alpha6( X, Y, skol15( X,
% 0.69/1.13 Y, Z, T ) ) }.
% 0.69/1.13 { ! alpha44( X, Y, Z, T ), alpha41( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha6( X, Y, U ), ! alpha12( Z, T, U ), alpha41( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha44( X, Y, Z, T ), ! vsubst( X, Y, Z ) = T, alpha47( X, Y, Z, T ) }
% 0.69/1.13 .
% 0.69/1.13 { vsubst( X, Y, Z ) = T, alpha44( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha47( X, Y, Z, T ), alpha44( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha47( X, Y, Z, T ), X = skol16( X, U, W, V0 ) }.
% 0.69/1.13 { ! alpha47( X, Y, Z, T ), alpha49( Y, Z, T, skol16( X, Y, Z, T ) ) }.
% 0.69/1.13 { ! X = U, ! alpha49( Y, Z, T, U ), alpha47( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha49( X, Y, Z, T ), X = skol17( X, U, W, V0 ) }.
% 0.69/1.13 { ! alpha49( X, Y, Z, T ), alpha2( Y, T, skol44( U, Y, W, T ) ) }.
% 0.69/1.13 { ! alpha49( X, Y, Z, T ), Z = skol17( X, Y, Z, T ) }.
% 0.69/1.13 { ! X = U, ! alpha2( Y, T, W ), ! Z = U, alpha49( X, Y, Z, T ) }.
% 0.69/1.13 { ! alpha23( X, Y, Z ), X = vabs( skol18( X, Y, Z ), skol45( X, Y, Z ),
% 0.69/1.13 skol63( X, Y, Z ) ) }.
% 0.69/1.13 { ! alpha23( X, Y, Z ), Z = skol18( X, Y, Z ) }.
% 0.69/1.13 { ! alpha23( X, Y, Z ), Y = vabs( skol18( X, Y, Z ), skol45( X, Y, Z ),
% 0.69/1.13 skol63( X, Y, Z ) ) }.
% 0.69/1.13 { ! X = vabs( T, U, W ), ! Z = T, ! Y = vabs( T, U, W ), alpha23( X, Y, Z )
% 0.69/1.13 }.
% 0.69/1.13 { ! alpha18( X, Y, Z ), X = Z }.
% 0.69/1.13 { ! alpha18( X, Y, Z ), Y = skol19( Y ) }.
% 0.69/1.13 { ! X = Z, ! Y = T, alpha18( X, Y, Z ) }.
% 0.69/1.13 { ! alpha12( X, Y, Z ), ! Z = skol20( T, U, Z ) }.
% 0.69/1.13 { ! alpha12( X, Y, Z ), Y = vvar( skol20( T, Y, Z ) ) }.
% 0.69/1.13 { ! alpha12( X, Y, Z ), X = vvar( skol20( X, Y, Z ) ) }.
% 0.69/1.13 { ! X = vvar( T ), Z = T, ! Y = vvar( T ), alpha12( X, Y, Z ) }.
% 0.69/1.13 { ! alpha6( X, Y, Z ), X = Z }.
% 0.69/1.13 { ! alpha6( X, Y, Z ), Y = skol21( Y ) }.
% 0.69/1.13 { ! X = Z, ! Y = T, alpha6( X, Y, Z ) }.
% 0.69/1.13 { ! alpha2( X, Y, Z ), X = vvar( Z ) }.
% 0.69/1.13 { ! alpha2( X, Y, Z ), Y = Z }.
% 0.69/1.13 { ! X = vvar( Z ), ! Y = Z, alpha2( X, Y, Z ) }.
% 0.69/1.13 { ! &&, vnoExp = vnoExp }.
% 0.69/1.13 { ! vsomeExp( X ) = vsomeExp( Y ), X = Y }.
% 0.69/1.13 { ! X = Y, vsomeExp( X ) = vsomeExp( Y ) }.
% 0.69/1.13 { ! vnoExp = vsomeExp( X ) }.
% 0.69/1.13 { ! X = vnoExp, ! visSomeExp( X ) }.
% 0.69/1.13 { ! X = vsomeExp( Y ), visSomeExp( X ) }.
% 0.69/1.13 { ! X = vsomeExp( Y ), ! Z = vgetSomeExp( X ), Z = Y }.
% 0.69/1.13 { ! X = vvar( Y ), ! Z = vreduce( X ), Z = vnoExp }.
% 0.69/1.13 { ! X = vabs( Y, Z, T ), ! U = vreduce( X ), U = vnoExp }.
% 0.69/1.13 { ! Y = vapp( vabs( Z, T, U ), X ), ! W = vreduce( X ), ! visSomeExp( W ),
% 0.69/1.13 ! V0 = vreduce( Y ), V0 = vsomeExp( vapp( vabs( Z, T, U ), vgetSomeExp( W
% 0.69/1.13 ) ) ) }.
% 0.69/1.13 { ! X = vapp( vabs( Y, U, T ), Z ), ! W = vreduce( Z ), visSomeExp( W ), !
% 0.69/1.13 visValue( Z ), ! V0 = vreduce( X ), V0 = vsomeExp( vsubst( Y, Z, T ) ) }
% 0.69/1.13 .
% 0.69/1.13 { ! Y = vapp( vabs( Z, T, U ), X ), ! W = vreduce( X ), visSomeExp( W ),
% 0.69/1.13 visValue( X ), ! V0 = vreduce( Y ), V0 = vnoExp }.
% 0.69/1.13 { ! Y = vapp( X, Z ), X = vabs( skol22( X ), skol46( X ), skol64( X ) ), !
% 0.69/1.13 T = vreduce( X ), ! visSomeExp( T ), ! U = vreduce( Y ), U = vsomeExp(
% 0.69/1.13 vapp( vgetSomeExp( T ), Z ) ) }.
% 0.69/1.13 { ! Y = vapp( X, Z ), X = vabs( skol23( X ), skol47( X ), skol65( X ) ), !
% 0.69/1.13 T = vreduce( X ), visSomeExp( T ), ! U = vreduce( Y ), U = vnoExp }.
% 0.69/1.13 { alpha3( X, Y ), alpha13( Y, skol24( Z, Y ) ) }.
% 0.69/1.13 { alpha3( X, Y ), alpha7( X, skol24( X, Y ) ) }.
% 0.69/1.13 { ! alpha13( X, Y ), ! visSomeExp( skol25( Z, T ) ) }.
% 0.69/1.13 { ! alpha13( X, Y ), skol25( Z, Y ) = vreduce( Y ) }.
% 0.69/1.13 { ! alpha13( X, Y ), X = vnoExp }.
% 0.69/1.13 { ! Z = vreduce( Y ), visSomeExp( Z ), ! X = vnoExp, alpha13( X, Y ) }.
% 0.69/1.13 { ! alpha7( X, Y ), X = vapp( Y, skol26( X, Y ) ) }.
% 0.69/1.13 { ! alpha7( X, Y ), ! Y = vabs( Z, T, U ) }.
% 0.69/1.13 { ! X = vapp( Y, Z ), Y = vabs( skol48( Y ), skol66( Y ), skol77( Y ) ),
% 0.69/1.13 alpha7( X, Y ) }.
% 0.69/1.13 { ! alpha3( X, Y ), alpha8( X, Y ), alpha14( X, Y ) }.
% 0.69/1.13 { ! alpha8( X, Y ), alpha3( X, Y ) }.
% 0.69/1.13 { ! alpha14( X, Y ), alpha3( X, Y ) }.
% 0.69/1.13 { ! alpha14( X, Y ), alpha24( X, skol27( X, Y ), skol49( X, Y ) ) }.
% 0.69/1.13 { ! alpha14( X, Y ), alpha19( skol27( X, Y ), skol67( X, Y ) ) }.
% 0.69/1.13 { ! alpha14( X, Y ), Y = vsomeExp( vapp( vgetSomeExp( skol67( X, Y ) ),
% 0.69/1.13 skol49( X, Y ) ) ) }.
% 0.69/1.13 { ! alpha24( X, Z, T ), ! alpha19( Z, U ), ! Y = vsomeExp( vapp(
% 0.69/1.13 vgetSomeExp( U ), T ) ), alpha14( X, Y ) }.
% 0.69/1.13 { ! alpha24( X, Y, Z ), X = vapp( Y, Z ) }.
% 0.69/1.13 { ! alpha24( X, Y, Z ), ! Y = vabs( T, U, W ) }.
% 0.69/1.13 { ! X = vapp( Y, Z ), Y = vabs( skol28( Y ), skol50( Y ), skol68( Y ) ),
% 0.69/1.13 alpha24( X, Y, Z ) }.
% 0.69/1.13 { ! alpha19( X, Y ), Y = vreduce( X ) }.
% 0.69/1.13 { ! alpha19( X, Y ), visSomeExp( Y ) }.
% 0.69/1.13 { ! Y = vreduce( X ), ! visSomeExp( Y ), alpha19( X, Y ) }.
% 0.69/1.13 { ! alpha8( X, Y ), alpha15( X, Y ), alpha20( X, Y ) }.
% 0.69/1.13 { ! alpha15( X, Y ), alpha8( X, Y ) }.
% 0.69/1.13 { ! alpha20( X, Y ), alpha8( X, Y ) }.
% 0.69/1.13 { ! alpha20( X, Y ), alpha25( Y, skol29( Z, Y ) ) }.
% 0.69/1.13 { ! alpha20( X, Y ), X = vapp( vabs( skol51( X, Y ), skol69( X, Y ), skol78
% 0.69/1.13 ( X, Y ) ), skol29( X, Y ) ) }.
% 0.69/1.13 { ! X = vapp( vabs( T, U, W ), Z ), ! alpha25( Y, Z ), alpha20( X, Y ) }.
% 0.69/1.13 { ! alpha25( X, Y ), alpha29( Y, skol30( Z, Y ) ) }.
% 0.69/1.13 { ! alpha25( X, Y ), X = vnoExp }.
% 0.69/1.13 { ! alpha29( Y, Z ), ! X = vnoExp, alpha25( X, Y ) }.
% 0.69/1.13 { ! alpha29( X, Y ), Y = vreduce( X ) }.
% 0.69/1.13 { ! alpha29( X, Y ), ! visSomeExp( Y ) }.
% 0.69/1.13 { ! alpha29( X, Y ), ! visValue( X ) }.
% 0.69/1.13 { ! Y = vreduce( X ), visSomeExp( Y ), visValue( X ), alpha29( X, Y ) }.
% 0.69/1.13 { ! alpha15( X, Y ), alpha21( X, Y ), alpha26( X, Y ) }.
% 0.69/1.13 { ! alpha21( X, Y ), alpha15( X, Y ) }.
% 0.69/1.13 { ! alpha26( X, Y ), alpha15( X, Y ) }.
% 0.69/1.13 { ! alpha26( X, Y ), X = vapp( vabs( skol31( X, Y ), skol79( X, Y ), skol70
% 0.69/1.13 ( X, Y ) ), skol52( X, Y ) ) }.
% 0.69/1.13 { ! alpha26( X, Y ), alpha30( skol52( X, Y ), skol83( X, Y ) ) }.
% 0.69/1.13 { ! alpha26( X, Y ), Y = vsomeExp( vsubst( skol31( X, Y ), skol52( X, Y ),
% 0.69/1.13 skol70( X, Y ) ) ) }.
% 0.69/1.13 { ! X = vapp( vabs( Z, W, U ), T ), ! alpha30( T, V0 ), ! Y = vsomeExp(
% 0.69/1.13 vsubst( Z, T, U ) ), alpha26( X, Y ) }.
% 0.69/1.13 { ! alpha30( X, Y ), Y = vreduce( X ) }.
% 0.69/1.13 { ! alpha30( X, Y ), ! visSomeExp( Y ) }.
% 0.69/1.13 { ! alpha30( X, Y ), visValue( X ) }.
% 0.69/1.13 { ! Y = vreduce( X ), visSomeExp( Y ), ! visValue( X ), alpha30( X, Y ) }.
% 0.69/1.13 { ! alpha21( X, Y ), alpha27( X, Y ), alpha31( X, Y ) }.
% 0.69/1.13 { ! alpha27( X, Y ), alpha21( X, Y ) }.
% 0.69/1.13 { ! alpha31( X, Y ), alpha21( X, Y ) }.
% 0.69/1.13 { ! alpha31( X, Y ), X = vapp( vabs( skol53( X, Y ), skol71( X, Y ), skol80
% 0.69/1.13 ( X, Y ) ), skol32( X, Y ) ) }.
% 0.69/1.13 { ! alpha31( X, Y ), alpha35( skol32( X, Y ), skol84( X, Y ) ) }.
% 0.69/1.13 { ! alpha31( X, Y ), Y = vsomeExp( vapp( vabs( skol53( X, Y ), skol71( X, Y
% 0.69/1.13 ), skol80( X, Y ) ), vgetSomeExp( skol84( X, Y ) ) ) ) }.
% 0.69/1.13 { ! X = vapp( vabs( T, U, W ), Z ), ! alpha35( Z, V0 ), ! Y = vsomeExp(
% 0.69/1.13 vapp( vabs( T, U, W ), vgetSomeExp( V0 ) ) ), alpha31( X, Y ) }.
% 0.69/1.13 { ! alpha35( X, Y ), Y = vreduce( X ) }.
% 0.69/1.13 { ! alpha35( X, Y ), visSomeExp( Y ) }.
% 0.69/1.13 { ! Y = vreduce( X ), ! visSomeExp( Y ), alpha35( X, Y ) }.
% 0.69/1.13 { ! alpha27( X, Y ), alpha32( X, Y ), X = vabs( skol33( X ), skol54( X ),
% 0.69/1.13 skol72( X ) ) }.
% 0.69/1.13 { ! alpha27( X, Y ), alpha32( X, Y ), Y = vnoExp }.
% 0.69/1.13 { ! alpha32( X, Y ), alpha27( X, Y ) }.
% 0.69/1.13 { ! X = vabs( Z, T, U ), ! Y = vnoExp, alpha27( X, Y ) }.
% 0.69/1.13 { ! alpha32( X, Y ), ! vreduce( X ) = Y, X = vvar( skol34( X ) ) }.
% 0.69/1.13 { ! alpha32( X, Y ), ! vreduce( X ) = Y, Y = vnoExp }.
% 0.69/1.13 { vreduce( X ) = Y, alpha32( X, Y ) }.
% 0.69/1.13 { ! X = vvar( Z ), ! Y = vnoExp, alpha32( X, Y ) }.
% 0.69/1.13 { ! varrow( X, Y ) = varrow( Z, T ), X = Z }.
% 0.69/1.13 { ! varrow( X, Y ) = varrow( Z, T ), Y = T }.
% 0.69/1.13 { ! X = Z, ! Y = T, varrow( X, Y ) = varrow( Z, T ) }.
% 0.69/1.13 { ! vlookup( Y, X ) = vsomeType( Z ), vtcheck( X, vvar( Y ), Z ) }.
% 0.69/1.13 { ! vtcheck( vbind( Y, T, X ), Z, U ), vtcheck( X, vabs( Y, T, Z ), varrow
% 0.69/1.13 ( T, U ) ) }.
% 0.69/1.13 { ! vtcheck( X, Y, varrow( U, T ) ), ! vtcheck( X, Z, U ), vtcheck( X, vapp
% 0.69/1.13 ( Y, Z ), T ) }.
% 0.69/1.13 { alpha4( X, Y, Z ), X = vapp( skol35( X, Y, Z ), skol55( X, Y, Z ) ) }.
% 0.69/1.13 { alpha4( X, Y, Z ), vtcheck( Z, skol35( X, Y, Z ), varrow( skol73( X, Y, Z
% 0.69/1.13 ), Y ) ) }.
% 0.69/1.13 { alpha4( X, Y, Z ), vtcheck( Z, skol55( X, Y, Z ), skol73( X, Y, Z ) ) }.
% 0.69/1.13 { ! alpha4( X, Y, Z ), alpha9( X, Y, Z ), alpha16( X, Y, Z ) }.
% 0.69/1.13 { ! alpha9( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.69/1.13 { ! alpha16( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.69/1.13 { ! alpha16( X, Y, Z ), X = vabs( skol36( X, Y, Z ), skol74( X, Y, Z ),
% 0.69/1.13 skol56( X, Y, Z ) ) }.
% 0.69/1.13 { ! alpha16( X, Y, Z ), Y = varrow( skol74( X, Y, Z ), skol81( X, Y, Z ) )
% 0.69/1.13 }.
% 0.69/1.13 { ! alpha16( X, Y, Z ), vtcheck( vbind( skol36( X, Y, Z ), skol74( X, Y, Z
% 0.69/1.13 ), Z ), skol56( X, Y, Z ), skol81( X, Y, Z ) ) }.
% 0.69/1.13 { ! X = vabs( T, W, U ), ! Y = varrow( W, V0 ), ! vtcheck( vbind( T, W, Z )
% 0.69/1.13 , U, V0 ), alpha16( X, Y, Z ) }.
% 0.69/1.13 { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ), X = vvar( skol37( X, T, U ) )
% 0.69/1.13 }.
% 0.69/1.13 { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ), vlookup( skol37( X, Y, Z ), Z
% 0.69/1.13 ) = vsomeType( Y ) }.
% 0.69/1.13 { vtcheck( Z, X, Y ), alpha9( X, Y, Z ) }.
% 0.69/1.13 { ! X = vvar( T ), ! vlookup( T, Z ) = vsomeType( Y ), alpha9( X, Y, Z ) }
% 0.69/1.13 .
% 0.69/1.13 { visFreeVar( X, Z ), ! vtcheck( Y, Z, T ), vtcheck( vbind( X, U, Y ), Z, T
% 0.69/1.13 ) }.
% 0.69/1.13 { ! vtcheck( X, Z, W ), ! vtcheck( vbind( Y, W, X ), T, U ), vtcheck( X,
% 0.69/1.13 vsubst( Y, Z, T ), U ) }.
% 0.69/1.13 { ! vlookup( X, Y ) = vnoType, ! vtcheck( Y, Z, T ), vtcheck( vbind( X, U,
% 0.69/1.13 Y ), Z, T ) }.
% 0.69/1.13 { visFreeVar( T, Y ), ! vtcheck( vbind( T, U, X ), Y, Z ), vtcheck( X, Y, Z
% 0.69/1.13 ) }.
% 0.69/1.13 { vreduce( vvar( skol82 ) ) = vsomeExp( skol57 ) }.
% 0.69/1.13 { vtcheck( skol38, vvar( skol82 ), skol75 ) }.
% 0.69/1.13 { ! vtcheck( skol38, skol57, skol75 ) }.
% 0.69/1.13
% 0.69/1.13 *** allocated 15000 integers for clauses
% 0.69/1.13 percentage equality = 0.471669, percentage horn = 0.799197
% 0.69/1.13 This is a problem with some equality
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 Options Used:
% 0.69/1.13
% 0.69/1.13 useres = 1
% 0.69/1.13 useparamod = 1
% 0.69/1.13 useeqrefl = 1
% 0.69/1.13 useeqfact = 1
% 0.69/1.13 usefactor = 1
% 0.69/1.13 usesimpsplitting = 0
% 0.69/1.13 usesimpdemod = 5
% 0.69/1.13 usesimpres = 3
% 0.69/1.13
% 0.69/1.13 resimpinuse = 1000
% 0.69/1.13 resimpclauses = 20000
% 0.69/1.13 substype = eqrewr
% 0.69/1.13 backwardsubs = 1
% 0.69/1.13 selectoldest = 5
% 0.69/1.13
% 0.69/1.13 litorderings [0] = split
% 0.69/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.13
% 0.69/1.13 termordering = kbo
% 0.69/1.13
% 0.69/1.13 litapriori = 0
% 0.69/1.13 termapriori = 1
% 0.69/1.13 litaposteriori = 0
% 0.69/1.13 termaposteriori = 0
% 0.69/1.13 demodaposteriori = 0
% 0.69/1.13 ordereqreflfact = 0
% 0.69/1.13
% 0.69/1.13 litselect = negord
% 0.69/1.13
% 0.69/1.13 maxweight = 15
% 0.69/1.13 maxdepth = 30000
% 0.69/1.13 maxlength = 115
% 0.69/1.13 maxnrvars = 195
% 0.69/1.13 excuselevel = 1
% 0.69/1.13 increasemaxweight = 1
% 0.69/1.13
% 0.69/1.13 maxselected = 10000000
% 0.69/1.13 maxnrclauses = 10000000
% 0.69/1.13
% 0.69/1.13 showgenerated = 0
% 0.69/1.13 showkept = 0
% 0.69/1.13 showselected = 0
% 0.69/1.13 showdeleted = 0
% 0.69/1.13 showresimp = 1
% 0.69/1.13 showstatus = 2000
% 0.69/1.13
% 0.69/1.13 prologoutput = 0
% 0.69/1.13 nrgoals = 5000000
% 0.69/1.13 totalproof = 1
% 0.69/1.13
% 0.69/1.13 Symbols occurring in the translation:
% 0.69/1.13
% 0.69/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.13 . [1, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.69/1.13 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.69/1.13 ! [4, 1] (w:0, o:48, a:1, s:1, b:0),
% 0.69/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.13 vvar [37, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.69/1.13 vabs [42, 3] (w:1, o:149, a:1, s:1, b:0),
% 0.69/1.13 vapp [45, 2] (w:1, o:106, a:1, s:1, b:0),
% 0.69/1.13 visValue [49, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.69/1.13 visFreeVar [53, 2] (w:1, o:107, a:1, s:1, b:0),
% 0.69/1.13 vempty [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.69/1.13 vbind [58, 3] (w:1, o:150, a:1, s:1, b:0),
% 0.69/1.13 vnoType [59, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.69/1.13 vsomeType [60, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.69/1.13 visSomeType [62, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.69/1.13 vgetSomeType [64, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.69/1.13 vlookup [65, 2] (w:1, o:108, a:1, s:1, b:0),
% 0.69/1.13 vtcheck [70, 3] (w:1, o:152, a:1, s:1, b:0),
% 0.69/1.13 vgensym [71, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.69/1.13 vsubst [72, 3] (w:1, o:151, a:1, s:1, b:0),
% 0.69/1.13 vnoExp [74, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.69/1.13 vsomeExp [75, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.69/1.13 visSomeExp [77, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.69/1.13 vgetSomeExp [78, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.69/1.13 vreduce [79, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.69/1.13 varrow [87, 2] (w:1, o:109, a:1, s:1, b:0),
% 0.69/1.13 alpha1 [91, 2] (w:1, o:110, a:1, s:1, b:1),
% 0.69/1.13 alpha2 [92, 3] (w:1, o:159, a:1, s:1, b:1),
% 0.69/1.13 alpha3 [93, 2] (w:1, o:117, a:1, s:1, b:1),
% 0.69/1.13 alpha4 [94, 3] (w:1, o:160, a:1, s:1, b:1),
% 0.69/1.13 alpha5 [95, 3] (w:1, o:161, a:1, s:1, b:1),
% 0.69/1.13 alpha6 [96, 3] (w:1, o:162, a:1, s:1, b:1),
% 0.69/1.13 alpha7 [97, 2] (w:1, o:118, a:1, s:1, b:1),
% 0.69/1.13 alpha8 [98, 2] (w:1, o:119, a:1, s:1, b:1),
% 0.69/1.13 alpha9 [99, 3] (w:1, o:163, a:1, s:1, b:1),
% 0.69/1.13 alpha10 [100, 3] (w:1, o:153, a:1, s:1, b:1),
% 0.69/1.13 alpha11 [101, 3] (w:1, o:154, a:1, s:1, b:1),
% 0.69/1.13 alpha12 [102, 3] (w:1, o:155, a:1, s:1, b:1),
% 0.69/1.13 alpha13 [103, 2] (w:1, o:120, a:1, s:1, b:1),
% 0.69/1.13 alpha14 [104, 2] (w:1, o:121, a:1, s:1, b:1),
% 0.69/1.13 alpha15 [105, 2] (w:1, o:122, a:1, s:1, b:1),
% 1.32/1.73 alpha16 [106, 3] (w:1, o:156, a:1, s:1, b:1),
% 1.32/1.73 alpha17 [107, 3] (w:1, o:157, a:1, s:1, b:1),
% 1.32/1.73 alpha18 [108, 3] (w:1, o:158, a:1, s:1, b:1),
% 1.32/1.73 alpha19 [109, 2] (w:1, o:123, a:1, s:1, b:1),
% 1.32/1.73 alpha20 [110, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.32/1.73 alpha21 [111, 2] (w:1, o:112, a:1, s:1, b:1),
% 1.32/1.73 alpha22 [112, 3] (w:1, o:164, a:1, s:1, b:1),
% 1.32/1.73 alpha23 [113, 3] (w:1, o:165, a:1, s:1, b:1),
% 1.32/1.73 alpha24 [114, 3] (w:1, o:166, a:1, s:1, b:1),
% 1.32/1.73 alpha25 [115, 2] (w:1, o:113, a:1, s:1, b:1),
% 1.32/1.73 alpha26 [116, 2] (w:1, o:114, a:1, s:1, b:1),
% 1.32/1.73 alpha27 [117, 2] (w:1, o:115, a:1, s:1, b:1),
% 1.32/1.73 alpha28 [118, 4] (w:1, o:187, a:1, s:1, b:1),
% 1.32/1.73 alpha29 [119, 2] (w:1, o:116, a:1, s:1, b:1),
% 1.32/1.73 alpha30 [120, 2] (w:1, o:124, a:1, s:1, b:1),
% 1.32/1.73 alpha31 [121, 2] (w:1, o:125, a:1, s:1, b:1),
% 1.32/1.73 alpha32 [122, 2] (w:1, o:126, a:1, s:1, b:1),
% 1.32/1.73 alpha33 [123, 4] (w:1, o:188, a:1, s:1, b:1),
% 1.32/1.73 alpha34 [124, 4] (w:1, o:189, a:1, s:1, b:1),
% 1.32/1.73 alpha35 [125, 2] (w:1, o:127, a:1, s:1, b:1),
% 1.32/1.73 alpha36 [126, 4] (w:1, o:190, a:1, s:1, b:1),
% 1.32/1.73 alpha37 [127, 4] (w:1, o:191, a:1, s:1, b:1),
% 1.32/1.73 alpha38 [128, 4] (w:1, o:192, a:1, s:1, b:1),
% 1.32/1.73 alpha39 [129, 5] (w:1, o:221, a:1, s:1, b:1),
% 1.32/1.73 alpha40 [130, 4] (w:1, o:193, a:1, s:1, b:1),
% 1.32/1.73 alpha41 [131, 4] (w:1, o:194, a:1, s:1, b:1),
% 1.32/1.73 alpha42 [132, 4] (w:1, o:195, a:1, s:1, b:1),
% 1.32/1.73 alpha43 [133, 4] (w:1, o:196, a:1, s:1, b:1),
% 1.32/1.73 alpha44 [134, 4] (w:1, o:197, a:1, s:1, b:1),
% 1.32/1.73 alpha45 [135, 5] (w:1, o:222, a:1, s:1, b:1),
% 1.32/1.73 alpha46 [136, 4] (w:1, o:198, a:1, s:1, b:1),
% 1.32/1.73 alpha47 [137, 4] (w:1, o:199, a:1, s:1, b:1),
% 1.32/1.73 alpha48 [138, 6] (w:1, o:223, a:1, s:1, b:1),
% 1.32/1.73 alpha49 [139, 4] (w:1, o:200, a:1, s:1, b:1),
% 1.32/1.73 skol1 [140, 3] (w:1, o:167, a:1, s:1, b:1),
% 1.32/1.73 skol2 [141, 3] (w:1, o:169, a:1, s:1, b:1),
% 1.32/1.73 skol3 [142, 3] (w:1, o:171, a:1, s:1, b:1),
% 1.32/1.73 skol4 [143, 3] (w:1, o:176, a:1, s:1, b:1),
% 1.32/1.73 skol5 [144, 1] (w:1, o:66, a:1, s:1, b:1),
% 1.32/1.73 skol6 [145, 4] (w:1, o:201, a:1, s:1, b:1),
% 1.32/1.73 skol7 [146, 4] (w:1, o:205, a:1, s:1, b:1),
% 1.32/1.73 skol8 [147, 4] (w:1, o:207, a:1, s:1, b:1),
% 1.32/1.73 skol9 [148, 4] (w:1, o:208, a:1, s:1, b:1),
% 1.32/1.73 skol10 [149, 4] (w:1, o:209, a:1, s:1, b:1),
% 1.32/1.73 skol11 [150, 4] (w:1, o:210, a:1, s:1, b:1),
% 1.32/1.73 skol12 [151, 4] (w:1, o:211, a:1, s:1, b:1),
% 1.32/1.73 skol13 [152, 4] (w:1, o:212, a:1, s:1, b:1),
% 1.32/1.73 skol14 [153, 4] (w:1, o:213, a:1, s:1, b:1),
% 1.32/1.73 skol15 [154, 4] (w:1, o:214, a:1, s:1, b:1),
% 1.32/1.73 skol16 [155, 4] (w:1, o:215, a:1, s:1, b:1),
% 1.32/1.73 skol17 [156, 4] (w:1, o:216, a:1, s:1, b:1),
% 1.32/1.73 skol18 [157, 3] (w:1, o:168, a:1, s:1, b:1),
% 1.32/1.73 skol19 [158, 1] (w:1, o:67, a:1, s:1, b:1),
% 1.32/1.73 skol20 [159, 3] (w:1, o:170, a:1, s:1, b:1),
% 1.32/1.73 skol21 [160, 1] (w:1, o:68, a:1, s:1, b:1),
% 1.32/1.73 skol22 [161, 1] (w:1, o:69, a:1, s:1, b:1),
% 1.32/1.73 skol23 [162, 1] (w:1, o:70, a:1, s:1, b:1),
% 1.32/1.73 skol24 [163, 2] (w:1, o:128, a:1, s:1, b:1),
% 1.32/1.73 skol25 [164, 2] (w:1, o:129, a:1, s:1, b:1),
% 1.32/1.73 skol26 [165, 2] (w:1, o:130, a:1, s:1, b:1),
% 1.32/1.73 skol27 [166, 2] (w:1, o:131, a:1, s:1, b:1),
% 1.32/1.73 skol28 [167, 1] (w:1, o:71, a:1, s:1, b:1),
% 1.32/1.73 skol29 [168, 2] (w:1, o:132, a:1, s:1, b:1),
% 1.32/1.73 skol30 [169, 2] (w:1, o:133, a:1, s:1, b:1),
% 1.32/1.73 skol31 [170, 2] (w:1, o:134, a:1, s:1, b:1),
% 1.32/1.73 skol32 [171, 2] (w:1, o:135, a:1, s:1, b:1),
% 1.32/1.73 skol33 [172, 1] (w:1, o:72, a:1, s:1, b:1),
% 1.32/1.73 skol34 [173, 1] (w:1, o:73, a:1, s:1, b:1),
% 1.32/1.73 skol35 [174, 3] (w:1, o:172, a:1, s:1, b:1),
% 1.32/1.73 skol36 [175, 3] (w:1, o:173, a:1, s:1, b:1),
% 1.32/1.73 skol37 [176, 3] (w:1, o:174, a:1, s:1, b:1),
% 1.32/1.73 skol38 [177, 0] (w:1, o:44, a:1, s:1, b:1),
% 1.32/1.73 skol39 [178, 3] (w:1, o:175, a:1, s:1, b:1),
% 1.32/1.73 skol40 [179, 3] (w:1, o:177, a:1, s:1, b:1),
% 1.32/1.73 skol41 [180, 4] (w:1, o:217, a:1, s:1, b:1),
% 1.32/1.73 skol42 [181, 4] (w:1, o:218, a:1, s:1, b:1),
% 1.32/1.73 skol43 [182, 4] (w:1, o:219, a:1, s:1, b:1),
% 1.32/1.73 skol44 [183, 4] (w:1, o:220, a:1, s:1, b:1),
% 1.32/1.73 skol45 [184, 3] (w:1, o:178, a:1, s:1, b:1),
% 1.32/1.73 skol46 [185, 1] (w:1, o:63, a:1, s:1, b:1),
% 1.32/1.73 skol47 [186, 1] (w:1, o:64, a:1, s:1, b:1),
% 1.32/1.73 skol48 [187, 1] (w:1, o:65, a:1, s:1, b:1),
% 1.32/1.73 skol49 [188, 2] (w:1, o:136, a:1, s:1, b:1),
% 1.32/1.73 skol50 [189, 1] (w:1, o:74, a:1, s:1, b:1),
% 1.32/1.73 skol51 [190, 2] (w:1, o:137, a:1, s:1, b:1),
% 1.32/1.73 skol52 [191, 2] (w:1, o:138, a:1, s:1, b:1),
% 1.32/1.73 skol53 [192, 2] (w:1, o:139, a:1, s:1, b:1),
% 1.32/1.73 skol54 [193, 1] (w:1, o:75, a:1, s:1, b:1),
% 1.32/1.73 skol55 [194, 3] (w:1, o:179, a:1, s:1, b:1),
% 1.32/1.73 skol56 [195, 3] (w:1, o:180, a:1, s:1, b:1),
% 1.32/1.73 skol57 [196, 0] (w:1, o:45, a:1, s:1, b:1),
% 1.32/1.73 skol58 [197, 3] (w:1, o:181, a:1, s:1, b:1),
% 1.32/1.73 skol59 [198, 3] (w:1, o:182, a:1, s:1, b:1),
% 1.32/1.73 skol60 [199, 4] (w:1, o:202, a:1, s:1, b:1),
% 1.32/1.73 skol61 [200, 4] (w:1, o:203, a:1, s:1, b:1),
% 1.32/1.73 skol62 [201, 4] (w:1, o:204, a:1, s:1, b:1),
% 1.32/1.73 skol63 [202, 3] (w:1, o:183, a:1, s:1, b:1),
% 1.32/1.73 skol64 [203, 1] (w:1, o:76, a:1, s:1, b:1),
% 1.32/1.73 skol65 [204, 1] (w:1, o:77, a:1, s:1, b:1),
% 1.32/1.73 skol66 [205, 1] (w:1, o:78, a:1, s:1, b:1),
% 1.32/1.73 skol67 [206, 2] (w:1, o:140, a:1, s:1, b:1),
% 1.32/1.73 skol68 [207, 1] (w:1, o:79, a:1, s:1, b:1),
% 1.32/1.73 skol69 [208, 2] (w:1, o:141, a:1, s:1, b:1),
% 1.32/1.73 skol70 [209, 2] (w:1, o:142, a:1, s:1, b:1),
% 1.32/1.73 skol71 [210, 2] (w:1, o:143, a:1, s:1, b:1),
% 1.32/1.73 skol72 [211, 1] (w:1, o:80, a:1, s:1, b:1),
% 1.32/1.73 skol73 [212, 3] (w:1, o:184, a:1, s:1, b:1),
% 1.32/1.73 skol74 [213, 3] (w:1, o:185, a:1, s:1, b:1),
% 1.32/1.73 skol75 [214, 0] (w:1, o:46, a:1, s:1, b:1),
% 1.32/1.73 skol76 [215, 4] (w:1, o:206, a:1, s:1, b:1),
% 1.32/1.73 skol77 [216, 1] (w:1, o:81, a:1, s:1, b:1),
% 1.32/1.73 skol78 [217, 2] (w:1, o:144, a:1, s:1, b:1),
% 1.32/1.73 skol79 [218, 2] (w:1, o:145, a:1, s:1, b:1),
% 1.32/1.73 skol80 [219, 2] (w:1, o:146, a:1, s:1, b:1),
% 1.32/1.73 skol81 [220, 3] (w:1, o:186, a:1, s:1, b:1),
% 1.32/1.73 skol82 [221, 0] (w:1, o:47, a:1, s:1, b:1),
% 1.32/1.73 skol83 [222, 2] (w:1, o:147, a:1, s:1, b:1),
% 1.32/1.73 skol84 [223, 2] (w:1, o:148, a:1, s:1, b:1).
% 1.32/1.73
% 1.32/1.73
% 1.32/1.73 Starting Search:
% 1.32/1.73
% 1.32/1.73 *** allocated 22500 integers for clauses
% 1.32/1.73 *** allocated 33750 integers for clauses
% 1.32/1.73 *** allocated 22500 integers for termspace/termends
% 1.32/1.73 *** allocated 50625 integers for clauses
% 1.32/1.73 *** allocated 75937 integers for clauses
% 1.32/1.73 *** allocated 33750 integers for termspace/termends
% 1.32/1.73 Resimplifying inuse:
% 1.32/1.73 Done
% 1.32/1.73
% 1.32/1.73 *** allocated 113905 integers for clauses
% 1.32/1.73 *** allocated 50625 integers for termspace/termends
% 1.32/1.73
% 1.32/1.73 Intermediate Status:
% 1.32/1.73 Generated: 6756
% 1.32/1.73 Kept: 2128
% 1.32/1.73 Inuse: 91
% 1.32/1.73 Deleted: 0
% 1.32/1.73 Deletedinuse: 0
% 1.32/1.73
% 1.32/1.73 Resimplifying inuse:
% 1.32/1.73 Done
% 1.32/1.73
% 1.32/1.73 *** allocated 170857 integers for clauses
% 1.32/1.73 *** allocated 75937 integers for termspace/termends
% 1.32/1.73 Resimplifying inuse:
% 1.32/1.73 Done
% 1.32/1.73
% 1.32/1.73 *** allocated 256285 integers for clauses
% 1.32/1.73 *** allocated 113905 integers for termspace/termends
% 1.32/1.73
% 1.32/1.73 Intermediate Status:
% 1.32/1.73 Generated: 16121
% 1.32/1.73 Kept: 4528
% 1.32/1.73 Inuse: 159
% 1.32/1.73 Deleted: 2
% 1.32/1.73 Deletedinuse: 0
% 1.32/1.73
% 1.32/1.73 Resimplifying inuse:
% 1.32/1.73 Done
% 1.32/1.73
% 1.32/1.73 Resimplifying inuse:
% 1.32/1.73 Done
% 1.32/1.73
% 1.32/1.73 *** allocated 384427 integers for clauses
% 1.32/1.73
% 1.32/1.73 Bliksems!, er is een bewijs:
% 1.32/1.73 % SZS status Theorem
% 1.32/1.73 % SZS output start Refutation
% 1.32/1.73
% 1.32/1.73 (147) {G0,W4,D3,L1,V1,M1} I { ! vsomeExp( X ) ==> vnoExp }.
% 1.32/1.73 (151) {G0,W11,D3,L3,V3,M3} I { ! X = vvar( Y ), ! Z = vreduce( X ), Z =
% 1.32/1.73 vnoExp }.
% 1.32/1.73 (246) {G0,W6,D4,L1,V0,M1} I { vreduce( vvar( skol82 ) ) ==> vsomeExp(
% 1.32/1.73 skol57 ) }.
% 1.32/1.73 (519) {G1,W8,D3,L2,V2,M2} Q(151) { ! X = vvar( Y ), vreduce( X ) ==> vnoExp
% 1.32/1.73 }.
% 1.32/1.73 (520) {G2,W5,D4,L1,V1,M1} Q(519) { vreduce( vvar( X ) ) ==> vnoExp }.
% 1.32/1.73 (5740) {G3,W4,D3,L1,V0,M1} S(246);d(520) { vsomeExp( skol57 ) ==> vnoExp
% 1.32/1.73 }.
% 1.32/1.73 (5741) {G4,W0,D0,L0,V0,M0} S(5740);r(147) { }.
% 1.32/1.73
% 1.32/1.73
% 1.32/1.73 % SZS output end Refutation
% 1.32/1.73 found a proof!
% 1.32/1.73
% 1.32/1.73 *** allocated 170857 integers for termspace/termends
% 1.32/1.73
% 1.32/1.73 Unprocessed initial clauses:
% 1.32/1.73
% 1.32/1.73 (5743) {G0,W8,D3,L2,V2,M2} { ! vvar( X ) = vvar( Y ), X = Y }.
% 1.32/1.73 (5744) {G0,W8,D3,L2,V2,M2} { ! X = Y, vvar( X ) = vvar( Y ) }.
% 1.32/1.73 (5745) {G0,W12,D3,L2,V6,M2} { ! vabs( X, Y, Z ) = vabs( T, U, W ), X = T
% 1.32/1.73 }.
% 1.32/1.73 (5746) {G0,W12,D3,L2,V6,M2} { ! vabs( X, Y, Z ) = vabs( T, U, W ), Y = U
% 1.32/1.73 }.
% 1.32/1.73 (5747) {G0,W12,D3,L2,V6,M2} { ! vabs( X, Y, Z ) = vabs( T, U, W ), Z = W
% 1.32/1.73 }.
% 1.32/1.73 (5748) {G0,W18,D3,L4,V6,M4} { ! X = T, ! Y = U, ! Z = W, vabs( X, Y, Z ) =
% 1.32/1.73 vabs( T, U, W ) }.
% 1.32/1.73 (5749) {G0,W10,D3,L2,V4,M2} { ! vapp( X, Y ) = vapp( Z, T ), X = Z }.
% 1.32/1.73 (5750) {G0,W10,D3,L2,V4,M2} { ! vapp( X, Y ) = vapp( Z, T ), Y = T }.
% 1.32/1.73 (5751) {G0,W13,D3,L3,V4,M3} { ! X = Z, ! Y = T, vapp( X, Y ) = vapp( Z, T
% 1.32/1.73 ) }.
% 1.32/1.73 (5752) {G0,W7,D3,L1,V4,M1} { ! vvar( X ) = vabs( Y, Z, T ) }.
% 1.32/1.73 (5753) {G0,W6,D3,L1,V3,M1} { ! vvar( X ) = vapp( Y, Z ) }.
% 1.32/1.73 (5754) {G0,W8,D3,L1,V5,M1} { ! vabs( X, Y, Z ) = vapp( T, U ) }.
% 1.32/1.73 (5755) {G0,W8,D3,L2,V4,M2} { ! X = vabs( Y, Z, T ), visValue( X ) }.
% 1.32/1.73 (5756) {G0,W6,D3,L2,V2,M2} { ! X = vvar( Y ), ! visValue( X ) }.
% 1.32/1.73 (5757) {G0,W7,D3,L2,V3,M2} { ! X = vapp( Y, Z ), ! visValue( X ) }.
% 1.32/1.73 (5758) {G0,W13,D3,L4,V4,M4} { ! X = T, ! Y = vvar( Z ), ! Z = T,
% 1.32/1.73 visFreeVar( X, Y ) }.
% 1.32/1.73 (5759) {G0,W13,D3,L4,V4,M4} { ! X = T, ! Y = vvar( Z ), ! visFreeVar( X, Y
% 1.32/1.73 ), Z = T }.
% 1.32/1.73 (5760) {G0,W18,D3,L5,V6,M5} { ! X = T, ! Y = vabs( Z, W, U ), Z = T, !
% 1.32/1.73 visFreeVar( T, U ), visFreeVar( X, Y ) }.
% 1.32/1.73 (5761) {G0,W15,D3,L4,V6,M4} { ! X = T, ! Y = vabs( Z, W, U ), ! visFreeVar
% 1.32/1.73 ( X, Y ), ! Z = T }.
% 1.32/1.73 (5762) {G0,W15,D3,L4,V6,M4} { ! X = T, ! Y = vabs( Z, W, U ), ! visFreeVar
% 1.32/1.73 ( X, Y ), visFreeVar( T, U ) }.
% 1.32/1.73 (5763) {G0,W14,D3,L4,V5,M4} { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( T
% 1.32/1.73 , Z ), visFreeVar( X, Y ) }.
% 1.32/1.73 (5764) {G0,W14,D3,L4,V5,M4} { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( T
% 1.32/1.73 , U ), visFreeVar( X, Y ) }.
% 1.32/1.73 (5765) {G0,W17,D3,L5,V5,M5} { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( X
% 1.32/1.73 , Y ), visFreeVar( T, Z ), visFreeVar( T, U ) }.
% 1.32/1.73 (5766) {G0,W4,D2,L2,V0,M2} { ! &&, vempty = vempty }.
% 1.32/1.73 (5767) {G0,W12,D3,L2,V6,M2} { ! vbind( X, Y, Z ) = vbind( T, U, W ), X = T
% 1.32/1.73 }.
% 1.32/1.73 (5768) {G0,W12,D3,L2,V6,M2} { ! vbind( X, Y, Z ) = vbind( T, U, W ), Y = U
% 1.32/1.73 }.
% 1.32/1.73 (5769) {G0,W12,D3,L2,V6,M2} { ! vbind( X, Y, Z ) = vbind( T, U, W ), Z = W
% 1.32/1.73 }.
% 1.32/1.73 (5770) {G0,W18,D3,L4,V6,M4} { ! X = T, ! Y = U, ! Z = W, vbind( X, Y, Z )
% 1.32/1.73 = vbind( T, U, W ) }.
% 1.32/1.73 (5771) {G0,W4,D2,L2,V0,M2} { ! &&, vnoType = vnoType }.
% 1.32/1.73 (5772) {G0,W8,D3,L2,V2,M2} { ! vsomeType( X ) = vsomeType( Y ), X = Y }.
% 1.32/1.73 (5773) {G0,W8,D3,L2,V2,M2} { ! X = Y, vsomeType( X ) = vsomeType( Y ) }.
% 1.32/1.73 (5774) {G0,W6,D3,L1,V3,M1} { ! vempty = vbind( X, Y, Z ) }.
% 1.32/1.73 (5775) {G0,W4,D3,L1,V1,M1} { ! vnoType = vsomeType( X ) }.
% 1.32/1.73 (5776) {G0,W5,D2,L2,V1,M2} { ! X = vnoType, ! visSomeType( X ) }.
% 1.32/1.73 (5777) {G0,W6,D3,L2,V2,M2} { ! X = vsomeType( Y ), visSomeType( X ) }.
% 1.32/1.73 (5778) {G0,W11,D3,L3,V3,M3} { ! X = vsomeType( Y ), ! Z = vgetSomeType( X
% 1.32/1.73 ), Z = Y }.
% 1.32/1.73 (5779) {G0,W14,D3,L4,V4,M4} { ! X = Z, ! Y = vempty, ! T = vlookup( X, Y )
% 1.32/1.73 , T = vnoType }.
% 1.32/1.73 (5780) {G0,W21,D3,L5,V7,M5} { ! Z = X, ! T = vbind( Y, U, W ), ! X = Y, !
% 1.32/1.73 V0 = vlookup( Z, T ), V0 = vsomeType( U ) }.
% 1.32/1.73 (5781) {G0,W22,D3,L5,V7,M5} { ! Y = T, ! Z = vbind( X, W, U ), T = X, ! V0
% 1.32/1.73 = vlookup( Y, Z ), V0 = vlookup( T, U ) }.
% 1.32/1.73 (5782) {G0,W10,D3,L2,V5,M2} { alpha5( X, Y, Z ), X = skol1( X, T, U ) }.
% 1.32/1.73 (5783) {G0,W11,D3,L2,V3,M2} { alpha5( X, Y, Z ), alpha10( Y, Z, skol1( X,
% 1.32/1.73 Y, Z ) ) }.
% 1.32/1.73 (5784) {G0,W12,D4,L2,V4,M2} { ! alpha10( X, Y, Z ), Y = vlookup( Z, skol39
% 1.32/1.73 ( T, Y, Z ) ) }.
% 1.32/1.73 (5785) {G0,W10,D3,L2,V3,M2} { ! alpha10( X, Y, Z ), ! Z = skol2( X, Y, Z )
% 1.32/1.73 }.
% 1.32/1.73 (5786) {G0,W19,D4,L2,V3,M2} { ! alpha10( X, Y, Z ), X = vbind( skol2( X, Y
% 1.32/1.73 , Z ), skol58( X, Y, Z ), skol39( X, Y, Z ) ) }.
% 1.32/1.73 (5787) {G0,W18,D3,L4,V6,M4} { ! X = vbind( T, W, U ), Z = T, ! Y = vlookup
% 1.32/1.73 ( Z, U ), alpha10( X, Y, Z ) }.
% 1.32/1.73 (5788) {G0,W12,D2,L3,V3,M3} { ! alpha5( X, Y, Z ), alpha11( X, Y, Z ),
% 1.32/1.73 alpha17( X, Y, Z ) }.
% 1.32/1.73 (5789) {G0,W8,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha5( X, Y, Z ) }.
% 1.32/1.73 (5790) {G0,W8,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha5( X, Y, Z ) }.
% 1.32/1.73 (5791) {G0,W10,D3,L2,V5,M2} { ! alpha17( X, Y, Z ), X = skol3( X, T, U )
% 1.32/1.73 }.
% 1.32/1.73 (5792) {G0,W11,D3,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha22( Y, Z, skol3(
% 1.32/1.73 X, Y, Z ) ) }.
% 1.32/1.73 (5793) {G0,W11,D2,L3,V4,M3} { ! X = T, ! alpha22( Y, Z, T ), alpha17( X, Y
% 1.32/1.73 , Z ) }.
% 1.32/1.73 (5794) {G0,W11,D4,L2,V5,M2} { ! alpha22( X, Y, Z ), Y = vsomeType( skol40
% 1.32/1.73 ( T, Y, U ) ) }.
% 1.32/1.73 (5795) {G0,W10,D3,L2,V3,M2} { ! alpha22( X, Y, Z ), Z = skol4( X, Y, Z )
% 1.32/1.73 }.
% 1.32/1.73 (5796) {G0,W19,D4,L2,V3,M2} { ! alpha22( X, Y, Z ), X = vbind( skol4( X, Y
% 1.32/1.73 , Z ), skol40( X, Y, Z ), skol59( X, Y, Z ) ) }.
% 1.32/1.73 (5797) {G0,W17,D3,L4,V6,M4} { ! X = vbind( T, U, W ), ! Z = T, ! Y =
% 1.32/1.73 vsomeType( U ), alpha22( X, Y, Z ) }.
% 1.32/1.73 (5798) {G0,W12,D3,L3,V3,M3} { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z
% 1.32/1.73 , alpha1( X, Y ) }.
% 1.32/1.73 (5799) {G0,W12,D3,L3,V3,M3} { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z
% 1.32/1.73 , Z = vnoType }.
% 1.32/1.73 (5800) {G0,W9,D3,L2,V3,M2} { vlookup( X, Y ) = Z, alpha11( X, Y, Z ) }.
% 1.32/1.73 (5801) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y ), ! Z = vnoType, alpha11( X
% 1.32/1.73 , Y, Z ) }.
% 1.32/1.73 (5802) {G0,W7,D3,L2,V2,M2} { ! alpha1( X, Y ), X = skol5( X ) }.
% 1.32/1.73 (5803) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), Y = vempty }.
% 1.32/1.73 (5804) {G0,W9,D2,L3,V3,M3} { ! X = Z, ! Y = vempty, alpha1( X, Y ) }.
% 1.32/1.73 (5805) {G0,W20,D4,L3,V7,M3} { ! X = W, ! vtcheck( vbind( X, Y, vbind( W,
% 1.32/1.73 V0, Z ) ), T, U ), vtcheck( vbind( X, Y, Z ), T, U ) }.
% 1.32/1.73 (5806) {G0,W23,D4,L3,V7,M3} { Z = X, ! vtcheck( vbind( Z, T, vbind( X, Y,
% 1.32/1.73 U ) ), W, V0 ), vtcheck( vbind( X, Y, vbind( Z, T, U ) ), W, V0 ) }.
% 1.32/1.73 (5807) {G0,W7,D3,L2,V2,M2} { ! vgensym( Y ) = X, ! visFreeVar( X, Y ) }.
% 1.32/1.73 (5808) {G0,W22,D3,L6,V7,M6} { ! Z = X, ! T = W, ! U = vvar( Y ), ! X = Y,
% 1.32/1.73 ! V0 = vsubst( Z, T, U ), V0 = W }.
% 1.32/1.73 (5809) {G0,W23,D3,L6,V7,M6} { ! Y = X, ! Z = W, ! T = vvar( U ), X = U, !
% 1.32/1.73 V0 = vsubst( Y, Z, T ), V0 = vvar( U ) }.
% 1.32/1.73 (5810) {G0,W28,D4,L5,V8,M5} { ! X = U, ! Y = W, ! Z = vapp( T, V0 ), ! V1
% 1.32/1.73 = vsubst( X, Y, Z ), V1 = vapp( vsubst( U, W, T ), vsubst( U, W, V0 ) )
% 1.32/1.73 }.
% 1.32/1.73 (5811) {G0,W27,D3,L6,V9,M6} { ! Y = X, ! Z = V1, ! T = vabs( U, W, V0 ), !
% 1.32/1.73 X = U, ! V2 = vsubst( Y, Z, T ), V2 = vabs( U, W, V0 ) }.
% 1.32/1.73 (5812) {G0,W46,D6,L8,V10,M8} { ! X = T, ! Y = U, ! Z = vabs( V0, W, V1 ),
% 1.32/1.73 T = V0, ! visFreeVar( V0, U ), ! V2 = vgensym( vapp( vapp( U, V1 ), vvar
% 1.32/1.73 ( T ) ) ), ! V3 = vsubst( X, Y, Z ), V3 = vsubst( T, U, vabs( V2, W,
% 1.32/1.73 vsubst( V0, vvar( V2 ), V1 ) ) ) }.
% 1.32/1.73 (5813) {G0,W33,D4,L7,V9,M7} { ! X = W, ! Y = V0, ! Z = vabs( T, U, V1 ), W
% 1.32/1.73 = T, visFreeVar( T, V0 ), ! V2 = vsubst( X, Y, Z ), V2 = vabs( T, U,
% 1.32/1.73 vsubst( W, V0, V1 ) ) }.
% 1.32/1.73 (5814) {G0,W12,D3,L2,V7,M2} { alpha28( X, Y, Z, T ), X = skol6( X, U, W,
% 1.32/1.73 V0 ) }.
% 1.32/1.73 (5815) {G0,W14,D3,L2,V4,M2} { alpha28( X, Y, Z, T ), alpha33( Y, Z, T,
% 1.32/1.73 skol6( X, Y, Z, T ) ) }.
% 1.32/1.73 (5816) {G0,W12,D3,L2,V7,M2} { ! alpha33( X, Y, Z, T ), X = skol7( X, U, W
% 1.32/1.73 , V0 ) }.
% 1.32/1.73 (5817) {G0,W14,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T ), alpha36( Y, Z, T,
% 1.32/1.73 skol7( X, Y, Z, T ) ) }.
% 1.32/1.73 (5818) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha36( Y, Z, T, U ), alpha33( X
% 1.32/1.73 , Y, Z, T ) }.
% 1.32/1.73 (5819) {G0,W23,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T ), alpha39( X, Z,
% 1.32/1.73 skol8( X, Y, Z, T ), skol41( X, Y, Z, T ), skol60( X, Y, Z, T ) ) }.
% 1.32/1.73 (5820) {G0,W12,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T ), ! visFreeVar( skol8
% 1.32/1.73 ( X, Y, Z, T ), T ) }.
% 1.32/1.73 (5821) {G0,W26,D5,L2,V4,M2} { ! alpha36( X, Y, Z, T ), Y = vabs( skol8( X
% 1.32/1.73 , Y, Z, T ), skol41( X, Y, Z, T ), vsubst( Z, T, skol60( X, Y, Z, T ) ) )
% 1.32/1.73 }.
% 1.32/1.73 (5822) {G0,W23,D4,L4,V7,M4} { ! alpha39( X, Z, U, W, V0 ), visFreeVar( U,
% 1.32/1.73 T ), ! Y = vabs( U, W, vsubst( Z, T, V0 ) ), alpha36( X, Y, Z, T ) }.
% 1.32/1.73 (5823) {G0,W12,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U ), X = vabs( Z, T,
% 1.32/1.73 U ) }.
% 1.32/1.73 (5824) {G0,W9,D2,L2,V5,M2} { ! alpha39( X, Y, Z, T, U ), ! Y = Z }.
% 1.32/1.73 (5825) {G0,W15,D3,L3,V5,M3} { ! X = vabs( Z, T, U ), Y = Z, alpha39( X, Y
% 1.32/1.73 , Z, T, U ) }.
% 1.32/1.73 (5826) {G0,W15,D2,L3,V4,M3} { ! alpha28( X, Y, Z, T ), alpha34( X, Y, Z, T
% 1.32/1.73 ), alpha37( X, Y, Z, T ) }.
% 1.32/1.73 (5827) {G0,W10,D2,L2,V4,M2} { ! alpha34( X, Y, Z, T ), alpha28( X, Y, Z, T
% 1.32/1.73 ) }.
% 1.32/1.73 (5828) {G0,W10,D2,L2,V4,M2} { ! alpha37( X, Y, Z, T ), alpha28( X, Y, Z, T
% 1.32/1.73 ) }.
% 1.32/1.73 (5829) {G0,W12,D3,L2,V7,M2} { ! alpha37( X, Y, Z, T ), X = skol9( X, U, W
% 1.32/1.73 , V0 ) }.
% 1.32/1.73 (5830) {G0,W14,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T ), alpha40( Y, Z, T,
% 1.32/1.73 skol9( X, Y, Z, T ) ) }.
% 1.32/1.73 (5831) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha40( Y, Z, T, U ), alpha37( X
% 1.32/1.73 , Y, Z, T ) }.
% 1.32/1.73 (5832) {G0,W12,D3,L2,V7,M2} { ! alpha40( X, Y, Z, T ), X = skol10( X, U, W
% 1.32/1.73 , V0 ) }.
% 1.32/1.73 (5833) {G0,W14,D3,L2,V4,M2} { ! alpha40( X, Y, Z, T ), alpha42( Y, Z, T,
% 1.32/1.73 skol10( X, Y, Z, T ) ) }.
% 1.32/1.73 (5834) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha42( Y, Z, T, U ), alpha40( X
% 1.32/1.73 , Y, Z, T ) }.
% 1.32/1.73 (5835) {G0,W24,D3,L2,V4,M2} { ! alpha42( X, Y, Z, T ), alpha48( X, Z, T,
% 1.32/1.73 skol11( X, Y, Z, T ), skol42( X, Y, Z, T ), skol61( X, Y, Z, T ) ) }.
% 1.32/1.73 (5836) {G0,W22,D6,L2,V4,M2} { ! alpha42( X, Y, Z, T ), skol76( X, Y, Z, T
% 1.32/1.73 ) = vgensym( vapp( vapp( T, skol61( X, Y, Z, T ) ), vvar( Z ) ) ) }.
% 1.32/1.73 (5837) {G0,W38,D7,L2,V4,M2} { ! alpha42( X, Y, Z, T ), Y = vsubst( Z, T,
% 1.32/1.73 vabs( skol76( X, Y, Z, T ), skol11( X, Y, Z, T ), vsubst( skol42( X, Y, Z
% 1.32/1.73 , T ), vvar( skol76( X, Y, Z, T ) ), skol61( X, Y, Z, T ) ) ) ) }.
% 1.32/1.73 (5838) {G0,W34,D6,L4,V8,M4} { ! alpha48( X, Z, T, U, W, V0 ), ! V1 =
% 1.32/1.73 vgensym( vapp( vapp( T, V0 ), vvar( Z ) ) ), ! Y = vsubst( Z, T, vabs( V1
% 1.32/1.73 , U, vsubst( W, vvar( V1 ), V0 ) ) ), alpha42( X, Y, Z, T ) }.
% 1.32/1.73 (5839) {G0,W13,D2,L2,V6,M2} { ! alpha48( X, Y, Z, T, U, W ), alpha45( X, Y
% 1.32/1.73 , T, U, W ) }.
% 1.32/1.73 (5840) {G0,W10,D2,L2,V6,M2} { ! alpha48( X, Y, Z, T, U, W ), visFreeVar( U
% 1.32/1.73 , Z ) }.
% 1.32/1.73 (5841) {G0,W16,D2,L3,V6,M3} { ! alpha45( X, Y, T, U, W ), ! visFreeVar( U
% 1.32/1.73 , Z ), alpha48( X, Y, Z, T, U, W ) }.
% 1.32/1.73 (5842) {G0,W12,D3,L2,V5,M2} { ! alpha45( X, Y, Z, T, U ), X = vabs( T, Z,
% 1.32/1.73 U ) }.
% 1.32/1.73 (5843) {G0,W9,D2,L2,V5,M2} { ! alpha45( X, Y, Z, T, U ), ! Y = T }.
% 1.32/1.73 (5844) {G0,W15,D3,L3,V5,M3} { ! X = vabs( T, Z, U ), Y = T, alpha45( X, Y
% 1.32/1.73 , Z, T, U ) }.
% 1.32/1.73 (5845) {G0,W18,D3,L3,V6,M3} { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z, T
% 1.32/1.73 ), alpha23( Z, T, skol12( U, W, Z, T ) ) }.
% 1.32/1.73 (5846) {G0,W18,D3,L3,V4,M3} { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z, T
% 1.32/1.73 ), alpha18( X, Y, skol12( X, Y, Z, T ) ) }.
% 1.32/1.73 (5847) {G0,W10,D2,L2,V4,M2} { ! alpha38( X, Y, Z, T ), alpha34( X, Y, Z, T
% 1.32/1.73 ) }.
% 1.32/1.73 (5848) {G0,W13,D2,L3,V5,M3} { ! alpha18( X, Y, U ), ! alpha23( Z, T, U ),
% 1.32/1.73 alpha34( X, Y, Z, T ) }.
% 1.32/1.73 (5849) {G0,W15,D2,L3,V4,M3} { ! alpha38( X, Y, Z, T ), alpha41( X, Y, Z, T
% 1.32/1.73 ), alpha43( X, Y, Z, T ) }.
% 1.32/1.73 (5850) {G0,W10,D2,L2,V4,M2} { ! alpha41( X, Y, Z, T ), alpha38( X, Y, Z, T
% 1.32/1.73 ) }.
% 1.32/1.73 (5851) {G0,W10,D2,L2,V4,M2} { ! alpha43( X, Y, Z, T ), alpha38( X, Y, Z, T
% 1.32/1.73 ) }.
% 1.32/1.73 (5852) {G0,W12,D3,L2,V7,M2} { ! alpha43( X, Y, Z, T ), X = skol13( X, U, W
% 1.32/1.73 , V0 ) }.
% 1.32/1.73 (5853) {G0,W14,D3,L2,V4,M2} { ! alpha43( X, Y, Z, T ), alpha46( Y, Z, T,
% 1.32/1.73 skol13( X, Y, Z, T ) ) }.
% 1.32/1.73 (5854) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha46( Y, Z, T, U ), alpha43( X
% 1.32/1.73 , Y, Z, T ) }.
% 1.32/1.73 (5855) {G0,W12,D3,L2,V7,M2} { ! alpha46( X, Y, Z, T ), X = skol14( X, U, W
% 1.32/1.73 , V0 ) }.
% 1.32/1.73 (5856) {G0,W18,D4,L2,V4,M2} { ! alpha46( X, Y, Z, T ), Y = vapp( skol43( X
% 1.32/1.73 , Y, Z, T ), skol62( X, Y, Z, T ) ) }.
% 1.32/1.73 (5857) {G0,W32,D5,L2,V4,M2} { ! alpha46( X, Y, Z, T ), Z = vapp( vsubst( T
% 1.32/1.73 , skol14( X, Y, Z, T ), skol43( X, Y, Z, T ) ), vsubst( T, skol14( X, Y,
% 1.32/1.73 Z, T ), skol62( X, Y, Z, T ) ) ) }.
% 1.32/1.73 (5858) {G0,W24,D4,L4,V7,M4} { ! X = U, ! Y = vapp( W, V0 ), ! Z = vapp(
% 1.32/1.73 vsubst( T, U, W ), vsubst( T, U, V0 ) ), alpha46( X, Y, Z, T ) }.
% 1.32/1.73 (5859) {G0,W18,D3,L3,V6,M3} { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z, T
% 1.32/1.73 ), alpha12( Z, T, skol15( U, W, Z, T ) ) }.
% 1.32/1.73 (5860) {G0,W18,D3,L3,V4,M3} { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z, T
% 1.32/1.73 ), alpha6( X, Y, skol15( X, Y, Z, T ) ) }.
% 1.32/1.73 (5861) {G0,W10,D2,L2,V4,M2} { ! alpha44( X, Y, Z, T ), alpha41( X, Y, Z, T
% 1.32/1.73 ) }.
% 1.32/1.73 (5862) {G0,W13,D2,L3,V5,M3} { ! alpha6( X, Y, U ), ! alpha12( Z, T, U ),
% 1.32/1.73 alpha41( X, Y, Z, T ) }.
% 1.32/1.73 (5863) {G0,W16,D3,L3,V4,M3} { ! alpha44( X, Y, Z, T ), ! vsubst( X, Y, Z )
% 1.32/1.73 = T, alpha47( X, Y, Z, T ) }.
% 1.32/1.73 (5864) {G0,W11,D3,L2,V4,M2} { vsubst( X, Y, Z ) = T, alpha44( X, Y, Z, T )
% 1.32/1.73 }.
% 1.32/1.73 (5865) {G0,W10,D2,L2,V4,M2} { ! alpha47( X, Y, Z, T ), alpha44( X, Y, Z, T
% 1.32/1.73 ) }.
% 1.32/1.73 (5866) {G0,W12,D3,L2,V7,M2} { ! alpha47( X, Y, Z, T ), X = skol16( X, U, W
% 1.32/1.73 , V0 ) }.
% 1.32/1.73 (5867) {G0,W14,D3,L2,V4,M2} { ! alpha47( X, Y, Z, T ), alpha49( Y, Z, T,
% 1.32/1.73 skol16( X, Y, Z, T ) ) }.
% 1.32/1.73 (5868) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha49( Y, Z, T, U ), alpha47( X
% 1.32/1.73 , Y, Z, T ) }.
% 1.32/1.73 (5869) {G0,W12,D3,L2,V7,M2} { ! alpha49( X, Y, Z, T ), X = skol17( X, U, W
% 1.32/1.73 , V0 ) }.
% 1.32/1.73 (5870) {G0,W13,D3,L2,V6,M2} { ! alpha49( X, Y, Z, T ), alpha2( Y, T,
% 1.32/1.73 skol44( U, Y, W, T ) ) }.
% 1.32/1.73 (5871) {G0,W12,D3,L2,V4,M2} { ! alpha49( X, Y, Z, T ), Z = skol17( X, Y, Z
% 1.32/1.73 , T ) }.
% 1.32/1.73 (5872) {G0,W15,D2,L4,V6,M4} { ! X = U, ! alpha2( Y, T, W ), ! Z = U,
% 1.32/1.73 alpha49( X, Y, Z, T ) }.
% 1.32/1.73 (5873) {G0,W19,D4,L2,V3,M2} { ! alpha23( X, Y, Z ), X = vabs( skol18( X, Y
% 1.32/1.73 , Z ), skol45( X, Y, Z ), skol63( X, Y, Z ) ) }.
% 1.32/1.73 (5874) {G0,W10,D3,L2,V3,M2} { ! alpha23( X, Y, Z ), Z = skol18( X, Y, Z )
% 1.32/1.73 }.
% 1.32/1.73 (5875) {G0,W19,D4,L2,V3,M2} { ! alpha23( X, Y, Z ), Y = vabs( skol18( X, Y
% 1.32/1.73 , Z ), skol45( X, Y, Z ), skol63( X, Y, Z ) ) }.
% 1.32/1.73 (5876) {G0,W19,D3,L4,V6,M4} { ! X = vabs( T, U, W ), ! Z = T, ! Y = vabs(
% 1.32/1.73 T, U, W ), alpha23( X, Y, Z ) }.
% 1.32/1.73 (5877) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), X = Z }.
% 1.32/1.73 (5878) {G0,W8,D3,L2,V3,M2} { ! alpha18( X, Y, Z ), Y = skol19( Y ) }.
% 1.32/1.73 (5879) {G0,W10,D2,L3,V4,M3} { ! X = Z, ! Y = T, alpha18( X, Y, Z ) }.
% 1.32/1.73 (5880) {G0,W10,D3,L2,V5,M2} { ! alpha12( X, Y, Z ), ! Z = skol20( T, U, Z
% 1.32/1.73 ) }.
% 1.32/1.73 (5881) {G0,W11,D4,L2,V4,M2} { ! alpha12( X, Y, Z ), Y = vvar( skol20( T, Y
% 1.32/1.73 , Z ) ) }.
% 1.32/1.73 (5882) {G0,W11,D4,L2,V3,M2} { ! alpha12( X, Y, Z ), X = vvar( skol20( X, Y
% 1.32/1.73 , Z ) ) }.
% 1.32/1.73 (5883) {G0,W15,D3,L4,V4,M4} { ! X = vvar( T ), Z = T, ! Y = vvar( T ),
% 1.32/1.73 alpha12( X, Y, Z ) }.
% 1.32/1.73 (5884) {G0,W7,D2,L2,V3,M2} { ! alpha6( X, Y, Z ), X = Z }.
% 1.32/1.73 (5885) {G0,W8,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), Y = skol21( Y ) }.
% 1.32/1.73 (5886) {G0,W10,D2,L3,V4,M3} { ! X = Z, ! Y = T, alpha6( X, Y, Z ) }.
% 1.32/1.73 (5887) {G0,W8,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), X = vvar( Z ) }.
% 1.32/1.73 (5888) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), Y = Z }.
% 1.32/1.73 (5889) {G0,W11,D3,L3,V3,M3} { ! X = vvar( Z ), ! Y = Z, alpha2( X, Y, Z )
% 1.32/1.73 }.
% 1.32/1.73 (5890) {G0,W4,D2,L2,V0,M2} { ! &&, vnoExp = vnoExp }.
% 1.32/1.73 (5891) {G0,W8,D3,L2,V2,M2} { ! vsomeExp( X ) = vsomeExp( Y ), X = Y }.
% 1.32/1.73 (5892) {G0,W8,D3,L2,V2,M2} { ! X = Y, vsomeExp( X ) = vsomeExp( Y ) }.
% 1.32/1.73 (5893) {G0,W4,D3,L1,V1,M1} { ! vnoExp = vsomeExp( X ) }.
% 1.32/1.73 (5894) {G0,W5,D2,L2,V1,M2} { ! X = vnoExp, ! visSomeExp( X ) }.
% 1.32/1.73 (5895) {G0,W6,D3,L2,V2,M2} { ! X = vsomeExp( Y ), visSomeExp( X ) }.
% 1.32/1.73 (5896) {G0,W11,D3,L3,V3,M3} { ! X = vsomeExp( Y ), ! Z = vgetSomeExp( X )
% 1.32/1.73 , Z = Y }.
% 1.32/1.73 (5897) {G0,W11,D3,L3,V3,M3} { ! X = vvar( Y ), ! Z = vreduce( X ), Z =
% 1.32/1.73 vnoExp }.
% 1.32/1.73 (5898) {G0,W13,D3,L3,V5,M3} { ! X = vabs( Y, Z, T ), ! U = vreduce( X ), U
% 1.32/1.73 = vnoExp }.
% 1.32/1.73 (5899) {G0,W28,D5,L5,V7,M5} { ! Y = vapp( vabs( Z, T, U ), X ), ! W =
% 1.32/1.73 vreduce( X ), ! visSomeExp( W ), ! V0 = vreduce( Y ), V0 = vsomeExp( vapp
% 1.32/1.73 ( vabs( Z, T, U ), vgetSomeExp( W ) ) ) }.
% 1.32/1.73 (5900) {G0,W27,D4,L6,V7,M6} { ! X = vapp( vabs( Y, U, T ), Z ), ! W =
% 1.32/1.73 vreduce( Z ), visSomeExp( W ), ! visValue( Z ), ! V0 = vreduce( X ), V0 =
% 1.32/1.73 vsomeExp( vsubst( Y, Z, T ) ) }.
% 1.32/1.73 (5901) {G0,W23,D4,L6,V7,M6} { ! Y = vapp( vabs( Z, T, U ), X ), ! W =
% 1.32/1.73 vreduce( X ), visSomeExp( W ), visValue( X ), ! V0 = vreduce( Y ), V0 =
% 1.32/1.73 vnoExp }.
% 1.32/1.73 (5902) {G0,W31,D5,L6,V5,M6} { ! Y = vapp( X, Z ), X = vabs( skol22( X ),
% 1.32/1.73 skol46( X ), skol64( X ) ), ! T = vreduce( X ), ! visSomeExp( T ), ! U =
% 1.32/1.73 vreduce( Y ), U = vsomeExp( vapp( vgetSomeExp( T ), Z ) ) }.
% 1.32/1.73 (5903) {G0,W27,D4,L6,V5,M6} { ! Y = vapp( X, Z ), X = vabs( skol23( X ),
% 1.32/1.73 skol47( X ), skol65( X ) ), ! T = vreduce( X ), visSomeExp( T ), ! U =
% 1.32/1.73 vreduce( Y ), U = vnoExp }.
% 1.32/1.73 (5904) {G0,W8,D3,L2,V3,M2} { alpha3( X, Y ), alpha13( Y, skol24( Z, Y ) )
% 1.32/1.73 }.
% 1.32/1.73 (5905) {G0,W8,D3,L2,V2,M2} { alpha3( X, Y ), alpha7( X, skol24( X, Y ) )
% 1.32/1.73 }.
% 1.32/1.73 (5906) {G0,W7,D3,L2,V4,M2} { ! alpha13( X, Y ), ! visSomeExp( skol25( Z, T
% 1.32/1.73 ) ) }.
% 1.32/1.73 (5907) {G0,W9,D3,L2,V3,M2} { ! alpha13( X, Y ), skol25( Z, Y ) = vreduce(
% 1.32/1.73 Y ) }.
% 1.32/1.73 (5908) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), X = vnoExp }.
% 1.32/1.73 (5909) {G0,W12,D3,L4,V3,M4} { ! Z = vreduce( Y ), visSomeExp( Z ), ! X =
% 1.32/1.73 vnoExp, alpha13( X, Y ) }.
% 1.32/1.73 (5910) {G0,W10,D4,L2,V2,M2} { ! alpha7( X, Y ), X = vapp( Y, skol26( X, Y
% 1.32/1.73 ) ) }.
% 1.32/1.73 (5911) {G0,W9,D3,L2,V5,M2} { ! alpha7( X, Y ), ! Y = vabs( Z, T, U ) }.
% 1.32/1.73 (5912) {G0,W17,D4,L3,V3,M3} { ! X = vapp( Y, Z ), Y = vabs( skol48( Y ),
% 1.32/1.73 skol66( Y ), skol77( Y ) ), alpha7( X, Y ) }.
% 1.32/1.73 (5913) {G0,W9,D2,L3,V2,M3} { ! alpha3( X, Y ), alpha8( X, Y ), alpha14( X
% 1.32/1.73 , Y ) }.
% 1.32/1.73 (5914) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ), alpha3( X, Y ) }.
% 1.32/1.73 (5915) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), alpha3( X, Y ) }.
% 1.32/1.73 (5916) {G0,W11,D3,L2,V2,M2} { ! alpha14( X, Y ), alpha24( X, skol27( X, Y
% 1.32/1.73 ), skol49( X, Y ) ) }.
% 1.32/1.73 (5917) {G0,W10,D3,L2,V2,M2} { ! alpha14( X, Y ), alpha19( skol27( X, Y ),
% 1.32/1.73 skol67( X, Y ) ) }.
% 1.32/1.73 (5918) {G0,W14,D6,L2,V2,M2} { ! alpha14( X, Y ), Y = vsomeExp( vapp(
% 1.32/1.73 vgetSomeExp( skol67( X, Y ) ), skol49( X, Y ) ) ) }.
% 1.32/1.73 (5919) {G0,W17,D5,L4,V5,M4} { ! alpha24( X, Z, T ), ! alpha19( Z, U ), ! Y
% 1.32/1.73 = vsomeExp( vapp( vgetSomeExp( U ), T ) ), alpha14( X, Y ) }.
% 1.32/1.73 (5920) {G0,W9,D3,L2,V3,M2} { ! alpha24( X, Y, Z ), X = vapp( Y, Z ) }.
% 1.32/1.73 (5921) {G0,W10,D3,L2,V6,M2} { ! alpha24( X, Y, Z ), ! Y = vabs( T, U, W )
% 1.32/1.73 }.
% 1.32/1.73 (5922) {G0,W18,D4,L3,V3,M3} { ! X = vapp( Y, Z ), Y = vabs( skol28( Y ),
% 1.32/1.73 skol50( Y ), skol68( Y ) ), alpha24( X, Y, Z ) }.
% 1.32/1.73 (5923) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), Y = vreduce( X ) }.
% 1.32/1.73 (5924) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), visSomeExp( Y ) }.
% 1.32/1.73 (5925) {G0,W9,D3,L3,V2,M3} { ! Y = vreduce( X ), ! visSomeExp( Y ),
% 1.32/1.73 alpha19( X, Y ) }.
% 1.32/1.73 (5926) {G0,W9,D2,L3,V2,M3} { ! alpha8( X, Y ), alpha15( X, Y ), alpha20( X
% 1.32/1.73 , Y ) }.
% 1.32/1.73 (5927) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), alpha8( X, Y ) }.
% 1.32/1.73 (5928) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), alpha8( X, Y ) }.
% 1.32/1.73 (5929) {G0,W8,D3,L2,V3,M2} { ! alpha20( X, Y ), alpha25( Y, skol29( Z, Y )
% 1.32/1.73 ) }.
% 1.32/1.73 (5930) {G0,W19,D5,L2,V2,M2} { ! alpha20( X, Y ), X = vapp( vabs( skol51( X
% 1.32/1.73 , Y ), skol69( X, Y ), skol78( X, Y ) ), skol29( X, Y ) ) }.
% 1.32/1.73 (5931) {G0,W14,D4,L3,V6,M3} { ! X = vapp( vabs( T, U, W ), Z ), ! alpha25
% 1.32/1.73 ( Y, Z ), alpha20( X, Y ) }.
% 1.32/1.73 (5932) {G0,W8,D3,L2,V3,M2} { ! alpha25( X, Y ), alpha29( Y, skol30( Z, Y )
% 1.32/1.73 ) }.
% 1.32/1.73 (5933) {G0,W6,D2,L2,V2,M2} { ! alpha25( X, Y ), X = vnoExp }.
% 1.32/1.73 (5934) {G0,W9,D2,L3,V3,M3} { ! alpha29( Y, Z ), ! X = vnoExp, alpha25( X,
% 1.32/1.73 Y ) }.
% 1.32/1.73 (5935) {G0,W7,D3,L2,V2,M2} { ! alpha29( X, Y ), Y = vreduce( X ) }.
% 1.32/1.73 (5936) {G0,W5,D2,L2,V2,M2} { ! alpha29( X, Y ), ! visSomeExp( Y ) }.
% 1.32/1.73 (5937) {G0,W5,D2,L2,V2,M2} { ! alpha29( X, Y ), ! visValue( X ) }.
% 1.32/1.73 (5938) {G0,W11,D3,L4,V2,M4} { ! Y = vreduce( X ), visSomeExp( Y ),
% 1.32/1.73 visValue( X ), alpha29( X, Y ) }.
% 1.32/1.73 (5939) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), alpha21( X, Y ), alpha26(
% 1.32/1.73 X, Y ) }.
% 1.32/1.73 (5940) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), alpha15( X, Y ) }.
% 1.32/1.73 (5941) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), alpha15( X, Y ) }.
% 1.32/1.73 (5942) {G0,W19,D5,L2,V2,M2} { ! alpha26( X, Y ), X = vapp( vabs( skol31( X
% 1.32/1.73 , Y ), skol79( X, Y ), skol70( X, Y ) ), skol52( X, Y ) ) }.
% 1.32/1.73 (5943) {G0,W10,D3,L2,V2,M2} { ! alpha26( X, Y ), alpha30( skol52( X, Y ),
% 1.32/1.73 skol83( X, Y ) ) }.
% 1.32/1.73 (5944) {G0,W16,D5,L2,V2,M2} { ! alpha26( X, Y ), Y = vsomeExp( vsubst(
% 1.32/1.73 skol31( X, Y ), skol52( X, Y ), skol70( X, Y ) ) ) }.
% 1.32/1.73 (5945) {G0,W21,D4,L4,V7,M4} { ! X = vapp( vabs( Z, W, U ), T ), ! alpha30
% 1.32/1.73 ( T, V0 ), ! Y = vsomeExp( vsubst( Z, T, U ) ), alpha26( X, Y ) }.
% 1.32/1.73 (5946) {G0,W7,D3,L2,V2,M2} { ! alpha30( X, Y ), Y = vreduce( X ) }.
% 1.32/1.73 (5947) {G0,W5,D2,L2,V2,M2} { ! alpha30( X, Y ), ! visSomeExp( Y ) }.
% 1.32/1.73 (5948) {G0,W5,D2,L2,V2,M2} { ! alpha30( X, Y ), visValue( X ) }.
% 1.32/1.73 (5949) {G0,W11,D3,L4,V2,M4} { ! Y = vreduce( X ), visSomeExp( Y ), !
% 1.32/1.73 visValue( X ), alpha30( X, Y ) }.
% 1.32/1.73 (5950) {G0,W9,D2,L3,V2,M3} { ! alpha21( X, Y ), alpha27( X, Y ), alpha31(
% 1.32/1.73 X, Y ) }.
% 1.32/1.73 (5951) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), alpha21( X, Y ) }.
% 1.32/1.73 (5952) {G0,W6,D2,L2,V2,M2} { ! alpha31( X, Y ), alpha21( X, Y ) }.
% 1.32/1.73 (5953) {G0,W19,D5,L2,V2,M2} { ! alpha31( X, Y ), X = vapp( vabs( skol53( X
% 1.32/1.73 , Y ), skol71( X, Y ), skol80( X, Y ) ), skol32( X, Y ) ) }.
% 1.32/1.73 (5954) {G0,W10,D3,L2,V2,M2} { ! alpha31( X, Y ), alpha35( skol32( X, Y ),
% 1.32/1.73 skol84( X, Y ) ) }.
% 1.32/1.73 (5955) {G0,W21,D6,L2,V2,M2} { ! alpha31( X, Y ), Y = vsomeExp( vapp( vabs
% 1.32/1.73 ( skol53( X, Y ), skol71( X, Y ), skol80( X, Y ) ), vgetSomeExp( skol84(
% 1.32/1.73 X, Y ) ) ) ) }.
% 1.32/1.73 (5956) {G0,W24,D5,L4,V7,M4} { ! X = vapp( vabs( T, U, W ), Z ), ! alpha35
% 1.32/1.73 ( Z, V0 ), ! Y = vsomeExp( vapp( vabs( T, U, W ), vgetSomeExp( V0 ) ) ),
% 1.32/1.73 alpha31( X, Y ) }.
% 1.32/1.73 (5957) {G0,W7,D3,L2,V2,M2} { ! alpha35( X, Y ), Y = vreduce( X ) }.
% 1.54/1.96 (5958) {G0,W5,D2,L2,V2,M2} { ! alpha35( X, Y ), visSomeExp( Y ) }.
% 1.54/1.96 (5959) {G0,W9,D3,L3,V2,M3} { ! Y = vreduce( X ), ! visSomeExp( Y ),
% 1.54/1.96 alpha35( X, Y ) }.
% 1.54/1.96 (5960) {G0,W15,D4,L3,V2,M3} { ! alpha27( X, Y ), alpha32( X, Y ), X = vabs
% 1.54/1.96 ( skol33( X ), skol54( X ), skol72( X ) ) }.
% 1.54/1.96 (5961) {G0,W9,D2,L3,V2,M3} { ! alpha27( X, Y ), alpha32( X, Y ), Y =
% 1.54/1.96 vnoExp }.
% 1.54/1.96 (5962) {G0,W6,D2,L2,V2,M2} { ! alpha32( X, Y ), alpha27( X, Y ) }.
% 1.54/1.96 (5963) {G0,W12,D3,L3,V5,M3} { ! X = vabs( Z, T, U ), ! Y = vnoExp, alpha27
% 1.54/1.96 ( X, Y ) }.
% 1.54/1.96 (5964) {G0,W12,D4,L3,V2,M3} { ! alpha32( X, Y ), ! vreduce( X ) = Y, X =
% 1.54/1.96 vvar( skol34( X ) ) }.
% 1.54/1.96 (5965) {G0,W10,D3,L3,V2,M3} { ! alpha32( X, Y ), ! vreduce( X ) = Y, Y =
% 1.54/1.96 vnoExp }.
% 1.54/1.96 (5966) {G0,W7,D3,L2,V2,M2} { vreduce( X ) = Y, alpha32( X, Y ) }.
% 1.54/1.96 (5967) {G0,W10,D3,L3,V3,M3} { ! X = vvar( Z ), ! Y = vnoExp, alpha32( X, Y
% 1.54/1.96 ) }.
% 1.54/1.96 (5968) {G0,W10,D3,L2,V4,M2} { ! varrow( X, Y ) = varrow( Z, T ), X = Z }.
% 1.54/1.96 (5969) {G0,W10,D3,L2,V4,M2} { ! varrow( X, Y ) = varrow( Z, T ), Y = T }.
% 1.54/1.96 (5970) {G0,W13,D3,L3,V4,M3} { ! X = Z, ! Y = T, varrow( X, Y ) = varrow( Z
% 1.54/1.96 , T ) }.
% 1.54/1.96 (5971) {G0,W11,D3,L2,V3,M2} { ! vlookup( Y, X ) = vsomeType( Z ), vtcheck
% 1.54/1.96 ( X, vvar( Y ), Z ) }.
% 1.54/1.96 (5972) {G0,W16,D3,L2,V5,M2} { ! vtcheck( vbind( Y, T, X ), Z, U ), vtcheck
% 1.54/1.96 ( X, vabs( Y, T, Z ), varrow( T, U ) ) }.
% 1.54/1.96 (5973) {G0,W16,D3,L3,V5,M3} { ! vtcheck( X, Y, varrow( U, T ) ), ! vtcheck
% 1.54/1.96 ( X, Z, U ), vtcheck( X, vapp( Y, Z ), T ) }.
% 1.54/1.96 (5974) {G0,W15,D4,L2,V3,M2} { alpha4( X, Y, Z ), X = vapp( skol35( X, Y, Z
% 1.54/1.96 ), skol55( X, Y, Z ) ) }.
% 1.54/1.96 (5975) {G0,W16,D4,L2,V3,M2} { alpha4( X, Y, Z ), vtcheck( Z, skol35( X, Y
% 1.54/1.96 , Z ), varrow( skol73( X, Y, Z ), Y ) ) }.
% 1.54/1.96 (5976) {G0,W14,D3,L2,V3,M2} { alpha4( X, Y, Z ), vtcheck( Z, skol55( X, Y
% 1.54/1.96 , Z ), skol73( X, Y, Z ) ) }.
% 1.54/1.96 (5977) {G0,W12,D2,L3,V3,M3} { ! alpha4( X, Y, Z ), alpha9( X, Y, Z ),
% 1.54/1.96 alpha16( X, Y, Z ) }.
% 1.54/1.96 (5978) {G0,W8,D2,L2,V3,M2} { ! alpha9( X, Y, Z ), alpha4( X, Y, Z ) }.
% 1.54/1.96 (5979) {G0,W8,D2,L2,V3,M2} { ! alpha16( X, Y, Z ), alpha4( X, Y, Z ) }.
% 1.54/1.96 (5980) {G0,W19,D4,L2,V3,M2} { ! alpha16( X, Y, Z ), X = vabs( skol36( X, Y
% 1.54/1.96 , Z ), skol74( X, Y, Z ), skol56( X, Y, Z ) ) }.
% 1.54/1.96 (5981) {G0,W15,D4,L2,V3,M2} { ! alpha16( X, Y, Z ), Y = varrow( skol74( X
% 1.54/1.96 , Y, Z ), skol81( X, Y, Z ) ) }.
% 1.54/1.96 (5982) {G0,W23,D4,L2,V3,M2} { ! alpha16( X, Y, Z ), vtcheck( vbind( skol36
% 1.54/1.96 ( X, Y, Z ), skol74( X, Y, Z ), Z ), skol56( X, Y, Z ), skol81( X, Y, Z )
% 1.54/1.96 ) }.
% 1.54/1.96 (5983) {G0,W22,D3,L4,V7,M4} { ! X = vabs( T, W, U ), ! Y = varrow( W, V0 )
% 1.54/1.96 , ! vtcheck( vbind( T, W, Z ), U, V0 ), alpha16( X, Y, Z ) }.
% 1.54/1.96 (5984) {G0,W15,D4,L3,V5,M3} { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ), X
% 1.54/1.96 = vvar( skol37( X, T, U ) ) }.
% 1.54/1.96 (5985) {G0,W17,D4,L3,V3,M3} { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ),
% 1.54/1.96 vlookup( skol37( X, Y, Z ), Z ) = vsomeType( Y ) }.
% 1.54/1.96 (5986) {G0,W8,D2,L2,V3,M2} { vtcheck( Z, X, Y ), alpha9( X, Y, Z ) }.
% 1.54/1.96 (5987) {G0,W14,D3,L3,V4,M3} { ! X = vvar( T ), ! vlookup( T, Z ) =
% 1.54/1.96 vsomeType( Y ), alpha9( X, Y, Z ) }.
% 1.54/1.96 (5988) {G0,W14,D3,L3,V5,M3} { visFreeVar( X, Z ), ! vtcheck( Y, Z, T ),
% 1.54/1.96 vtcheck( vbind( X, U, Y ), Z, T ) }.
% 1.54/1.96 (5989) {G0,W18,D3,L3,V6,M3} { ! vtcheck( X, Z, W ), ! vtcheck( vbind( Y, W
% 1.54/1.96 , X ), T, U ), vtcheck( X, vsubst( Y, Z, T ), U ) }.
% 1.54/1.96 (5990) {G0,W16,D3,L3,V5,M3} { ! vlookup( X, Y ) = vnoType, ! vtcheck( Y, Z
% 1.54/1.96 , T ), vtcheck( vbind( X, U, Y ), Z, T ) }.
% 1.54/1.96 (5991) {G0,W14,D3,L3,V5,M3} { visFreeVar( T, Y ), ! vtcheck( vbind( T, U,
% 1.54/1.96 X ), Y, Z ), vtcheck( X, Y, Z ) }.
% 1.54/1.96 (5992) {G0,W6,D4,L1,V0,M1} { vreduce( vvar( skol82 ) ) = vsomeExp( skol57
% 1.54/1.96 ) }.
% 1.54/1.96 (5993) {G0,W5,D3,L1,V0,M1} { vtcheck( skol38, vvar( skol82 ), skol75 ) }.
% 1.54/1.96 (5994) {G0,W4,D2,L1,V0,M1} { ! vtcheck( skol38, skol57, skol75 ) }.
% 1.54/1.96
% 1.54/1.96
% 1.54/1.96 Total Proof:
% 1.54/1.96
% 1.54/1.96 *** allocated 15000 integers for justifications
% 1.54/1.96 *** allocated 22500 integers for justifications
% 1.54/1.96 *** allocated 33750 integers for justifications
% 1.54/1.96 *** allocated 50625 integers for justifications
% 1.54/1.96 *** allocated 256285 integers for termspace/termends
% 1.54/1.96 *** allocated 384427 integers for termspace/termends
% 1.54/1.96 *** allocated 75937 integers for justifications
% 1.54/1.96 *** allocated 576640 integers for clauses
% 1.54/1.96 *** allocated 113905 integers for justifications
% 2.01/2.40 eqswap: (11968) {G0,W4,D3,L1,V1,M1} { ! vsomeExp( X ) = vnoExp }.
% 2.01/2.40 parent0[0]: (5893) {G0,W4,D3,L1,V1,M1} { ! vnoExp = vsomeExp( X ) }.
% 2.01/2.40 substitution0:
% 2.01/2.40 X := X
% 2.01/2.40 end
% 2.01/2.40
% 2.01/2.40 subsumption: (147) {G0,W4,D3,L1,V1,M1} I { ! vsomeExp( X ) ==> vnoExp }.
% 2.01/2.40 parent0: (11968) {G0,W4,D3,L1,V1,M1} { ! vsomeExp( X ) = vnoExp }.
% 2.01/2.40 substitution0:
% 2.01/2.40 X := X
% 2.01/2.40 end
% 2.01/2.40 permutation0:
% 2.01/2.40 0 ==> 0
% 2.01/2.40 end
% 2.01/2.40
% 2.01/2.40 *** allocated 576640 integers for termspace/termends
% 2.01/2.40 subsumption: (151) {G0,W11,D3,L3,V3,M3} I { ! X = vvar( Y ), ! Z = vreduce
% 2.01/2.40 ( X ), Z = vnoExp }.
% 2.01/2.40 parent0: (5897) {G0,W11,D3,L3,V3,M3} { ! X = vvar( Y ), ! Z = vreduce( X )
% 2.01/2.40 , Z = vnoExp }.
% 2.01/2.40 substitution0:
% 2.01/2.40 X := X
% 2.01/2.40 Y := Y
% 2.01/2.40 Z := Z
% 2.01/2.40 end
% 2.01/2.40 permutation0:
% 2.01/2.40 0 ==> 0
% 2.01/2.40 1 ==> 1
% 2.01/2.40 2 ==> 2
% 2.01/2.40 end
% 2.01/2.40
% 2.01/2.40 *** allocated 864960 integers for clauses
% 2.01/2.40 *** allocated 864960 integers for termspace/termends
% 2.01/2.40 subsumption: (246) {G0,W6,D4,L1,V0,M1} I { vreduce( vvar( skol82 ) ) ==>
% 2.01/2.40 vsomeExp( skol57 ) }.
% 2.01/2.40 parent0: (5992) {G0,W6,D4,L1,V0,M1} { vreduce( vvar( skol82 ) ) = vsomeExp
% 2.01/2.40 ( skol57 ) }.
% 2.01/2.40 substitution0:
% 2.01/2.40 end
% 2.01/2.40 permutation0:
% 2.01/2.40 0 ==> 0
% 2.01/2.40 end
% 2.01/2.40
% 2.01/2.40 eqswap: (24368) {G0,W11,D3,L3,V3,M3} { ! vvar( Y ) = X, ! Z = vreduce( X )
% 2.01/2.40 , Z = vnoExp }.
% 2.01/2.40 parent0[0]: (151) {G0,W11,D3,L3,V3,M3} I { ! X = vvar( Y ), ! Z = vreduce(
% 2.01/2.40 X ), Z = vnoExp }.
% 2.01/2.40 substitution0:
% 2.01/2.40 X := X
% 2.01/2.40 Y := Y
% 2.01/2.40 Z := Z
% 2.01/2.40 end
% 2.01/2.40
% 2.01/2.40 eqrefl: (24376) {G0,W8,D3,L2,V2,M2} { ! vvar( X ) = Y, vreduce( Y ) =
% 2.01/2.40 vnoExp }.
% 2.01/2.40 parent0[1]: (24368) {G0,W11,D3,L3,V3,M3} { ! vvar( Y ) = X, ! Z = vreduce
% 2.01/2.40 ( X ), Z = vnoExp }.
% 2.01/2.40 substitution0:
% 2.01/2.40 X := Y
% 2.01/2.40 Y := X
% 2.01/2.40 Z := vreduce( Y )
% 2.01/2.40 end
% 2.01/2.40
% 2.01/2.40 eqswap: (24377) {G0,W8,D3,L2,V2,M2} { ! Y = vvar( X ), vreduce( Y ) =
% 2.01/2.40 vnoExp }.
% 2.01/2.40 parent0[0]: (24376) {G0,W8,D3,L2,V2,M2} { ! vvar( X ) = Y, vreduce( Y ) =
% 2.01/2.40 vnoExp }.
% 2.01/2.40 substitution0:
% 2.01/2.40 X := X
% 2.01/2.40 Y := Y
% 2.01/2.40 end
% 2.01/2.40
% 2.01/2.40 subsumption: (519) {G1,W8,D3,L2,V2,M2} Q(151) { ! X = vvar( Y ), vreduce( X
% 2.01/2.40 ) ==> vnoExp }.
% 2.01/2.40 parent0: (24377) {G0,W8,D3,L2,V2,M2} { ! Y = vvar( X ), vreduce( Y ) =
% 2.01/2.40 vnoExp }.
% 2.01/2.40 substitution0:
% 2.01/2.40 X := Y
% 2.01/2.40 Y := X
% 2.01/2.40 end
% 2.01/2.40 permutation0:
% 2.01/2.40 0 ==> 0
% 2.01/2.40 1 ==> 1
% 2.01/2.40 end
% 2.01/2.40
% 2.01/2.40 eqswap: (24383) {G1,W8,D3,L2,V2,M2} { ! vvar( Y ) = X, vreduce( X ) ==>
% 2.01/2.40 vnoExp }.
% 2.01/2.40 parent0[0]: (519) {G1,W8,D3,L2,V2,M2} Q(151) { ! X = vvar( Y ), vreduce( X
% 2.01/2.40 ) ==> vnoExp }.
% 2.01/2.40 substitution0:
% 2.01/2.40 X := X
% 2.01/2.40 Y := Y
% 2.01/2.40 end
% 2.01/2.40
% 2.01/2.40 eqrefl: (24386) {G0,W5,D4,L1,V1,M1} { vreduce( vvar( X ) ) ==> vnoExp }.
% 2.01/2.40 parent0[0]: (24383) {G1,W8,D3,L2,V2,M2} { ! vvar( Y ) = X, vreduce( X )
% 2.01/2.40 ==> vnoExp }.
% 2.01/2.40 substitution0:
% 2.01/2.40 X := vvar( X )
% 2.01/2.40 Y := X
% 2.01/2.40 end
% 2.01/2.40
% 2.01/2.40 subsumption: (520) {G2,W5,D4,L1,V1,M1} Q(519) { vreduce( vvar( X ) ) ==>
% 2.01/2.40 vnoExp }.
% 2.01/2.40 parent0: (24386) {G0,W5,D4,L1,V1,M1} { vreduce( vvar( X ) ) ==> vnoExp }.
% 2.01/2.40 substitution0:
% 2.01/2.40 X := X
% 2.01/2.40 end
% 2.01/2.40 permutation0:
% 2.01/2.40 0 ==> 0
% 2.01/2.40 end
% 2.01/2.40
% 2.01/2.40 paramod: (24390) {G1,W4,D3,L1,V0,M1} { vnoExp ==> vsomeExp( skol57 ) }.
% 2.01/2.40 parent0[0]: (520) {G2,W5,D4,L1,V1,M1} Q(519) { vreduce( vvar( X ) ) ==>
% 2.01/2.40 vnoExp }.
% 2.01/2.40 parent1[0; 1]: (246) {G0,W6,D4,L1,V0,M1} I { vreduce( vvar( skol82 ) ) ==>
% 2.01/2.40 vsomeExp( skol57 ) }.
% 2.01/2.40 substitution0:
% 2.01/2.40 X := skol82
% 2.01/2.40 end
% 2.01/2.40 substitution1:
% 2.01/2.40 end
% 2.01/2.40
% 2.01/2.40 eqswap: (24391) {G1,W4,D3,L1,V0,M1} { vsomeExp( skol57 ) ==> vnoExp }.
% 2.01/2.40 parent0[0]: (24390) {G1,W4,D3,L1,V0,M1} { vnoExp ==> vsomeExp( skol57 )
% 2.01/2.40 }.
% 2.01/2.40 substitution0:
% 2.01/2.40 end
% 2.01/2.40
% 2.01/2.40 subsumption: (5740) {G3,W4,D3,L1,V0,M1} S(246);d(520) { vsomeExp( skol57 )
% 2.01/2.40 ==> vnoExp }.
% 2.01/2.40 parent0: (24391) {G1,W4,D3,L1,V0,M1} { vsomeExp( skol57 ) ==> vnoExp }.
% 2.01/2.40 substitution0:
% 2.01/2.40 end
% 2.01/2.40 permutation0:
% 2.01/2.40 0 ==> 0
% 2.01/2.40 end
% 2.01/2.40
% 2.01/2.40 resolution: (24394) {G1,W0,D0,L0,V0,M0} { }.
% 2.01/2.40 parent0[0]: (147) {G0,W4,D3,L1,V1,M1} I { ! vsomeExp( X ) ==> vnoExp }.
% 2.01/2.40 parent1[0]: (5740) {G3,W4,D3,L1,V0,M1} S(246);d(520) { vsomeExp( skol57 )
% 2.01/2.40 ==> vnoExp }.
% 2.01/2.40 substitution0:
% 2.01/2.40 X := skol57
% 2.01/2.40 end
% 2.01/2.40 substitution1:
% 2.01/2.40 end
% 2.01/2.40
% 2.01/2.40 subsumption: (5741) {G4,W0,D0,L0,V0,M0} S(5740);r(147) { }.
% 2.01/2.40 parent0: (24394) {G1,W0,D0,L0,V0,M0} { }.
% 2.01/2.40 substitution0:
% 2.01/2.40 end
% 2.01/2.40 permutation0:
% 2.01/2.40 end
% 2.01/2.40
% 2.01/2.40 Proof check complete!
% 2.01/2.40
% 2.01/2.40 Memory use:
% 2.01/2.40
% 2.01/2.40 space for terms: 112942
% 2.01/2.40 space for clauses: 261291
% 2.01/2.40
% 2.01/2.40
% 2.01/2.40 clauses generated: 26602
% 2.01/2.40 clauses kept: 5742
% 2.01/2.40 clauses selected: 178
% 2.01/2.40 clauses deleted: 6
% 2.01/2.40 clauses inuse deleted: 1
% 2.01/2.40
% 2.01/2.40 subsentry: 4631913
% 2.01/2.40 literals s-matched: 356440
% 2.01/2.40 literals matched: 244514
% 2.01/2.40 full subsumption: 220142
% 2.01/2.40
% 2.01/2.40 checksum: -1962606719
% 2.01/2.40
% 2.01/2.40
% 2.01/2.40 Bliksem ended
%------------------------------------------------------------------------------