TSTP Solution File: COM141+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COM141+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 00:51:35 EDT 2022
% Result : Theorem 17.74s 18.10s
% Output : Refutation 17.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM141+1 : TPTP v8.1.0. Released v6.4.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n029.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 17:23:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.13 *** allocated 10000 integers for termspace/termends
% 0.71/1.13 *** allocated 10000 integers for clauses
% 0.71/1.13 *** allocated 10000 integers for justifications
% 0.71/1.13 Bliksem 1.12
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 Automatic Strategy Selection
% 0.71/1.13
% 0.71/1.13 *** allocated 15000 integers for termspace/termends
% 0.71/1.13
% 0.71/1.13 Clauses:
% 0.71/1.13
% 0.71/1.13 { ! vvar( X ) = vvar( Y ), X = Y }.
% 0.71/1.13 { ! X = Y, vvar( X ) = vvar( Y ) }.
% 0.71/1.13 { ! vabs( X, Y, Z ) = vabs( T, U, W ), X = T }.
% 0.71/1.13 { ! vabs( X, Y, Z ) = vabs( T, U, W ), Y = U }.
% 0.71/1.13 { ! vabs( X, Y, Z ) = vabs( T, U, W ), Z = W }.
% 0.71/1.13 { ! X = T, ! Y = U, ! Z = W, vabs( X, Y, Z ) = vabs( T, U, W ) }.
% 0.71/1.13 { ! vapp( X, Y ) = vapp( Z, T ), X = Z }.
% 0.71/1.13 { ! vapp( X, Y ) = vapp( Z, T ), Y = T }.
% 0.71/1.13 { ! X = Z, ! Y = T, vapp( X, Y ) = vapp( Z, T ) }.
% 0.71/1.13 { ! vvar( X ) = vabs( Y, Z, T ) }.
% 0.71/1.13 { ! vvar( X ) = vapp( Y, Z ) }.
% 0.71/1.13 { ! vabs( X, Y, Z ) = vapp( T, U ) }.
% 0.71/1.13 { ! X = vabs( Y, Z, T ), visValue( X ) }.
% 0.71/1.13 { ! X = vvar( Y ), ! visValue( X ) }.
% 0.71/1.13 { ! X = vapp( Y, Z ), ! visValue( X ) }.
% 0.71/1.13 { ! X = T, ! Y = vvar( Z ), ! Z = T, visFreeVar( X, Y ) }.
% 0.71/1.13 { ! X = T, ! Y = vvar( Z ), ! visFreeVar( X, Y ), Z = T }.
% 0.71/1.13 { ! X = T, ! Y = vabs( Z, W, U ), Z = T, ! visFreeVar( T, U ), visFreeVar(
% 0.71/1.13 X, Y ) }.
% 0.71/1.13 { ! X = T, ! Y = vabs( Z, W, U ), ! visFreeVar( X, Y ), ! Z = T }.
% 0.71/1.13 { ! X = T, ! Y = vabs( Z, W, U ), ! visFreeVar( X, Y ), visFreeVar( T, U )
% 0.71/1.13 }.
% 0.71/1.13 { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( T, Z ), visFreeVar( X, Y ) }.
% 0.71/1.13 { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( T, U ), visFreeVar( X, Y ) }.
% 0.71/1.13 { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( X, Y ), visFreeVar( T, Z ),
% 0.71/1.13 visFreeVar( T, U ) }.
% 0.71/1.13 { ! &&, vempty = vempty }.
% 0.71/1.13 { ! vbind( X, Y, Z ) = vbind( T, U, W ), X = T }.
% 0.71/1.13 { ! vbind( X, Y, Z ) = vbind( T, U, W ), Y = U }.
% 0.71/1.13 { ! vbind( X, Y, Z ) = vbind( T, U, W ), Z = W }.
% 0.71/1.13 { ! X = T, ! Y = U, ! Z = W, vbind( X, Y, Z ) = vbind( T, U, W ) }.
% 0.71/1.13 { ! &&, vnoType = vnoType }.
% 0.71/1.13 { ! vsomeType( X ) = vsomeType( Y ), X = Y }.
% 0.71/1.13 { ! X = Y, vsomeType( X ) = vsomeType( Y ) }.
% 0.71/1.13 { ! vempty = vbind( X, Y, Z ) }.
% 0.71/1.13 { ! vnoType = vsomeType( X ) }.
% 0.71/1.13 { ! X = vnoType, ! visSomeType( X ) }.
% 0.71/1.13 { ! X = vsomeType( Y ), visSomeType( X ) }.
% 0.71/1.13 { ! X = vsomeType( Y ), ! Z = vgetSomeType( X ), Z = Y }.
% 0.71/1.13 { ! X = Z, ! Y = vempty, ! T = vlookup( X, Y ), T = vnoType }.
% 0.71/1.13 { ! Z = X, ! T = vbind( Y, U, W ), ! X = Y, ! V0 = vlookup( Z, T ), V0 =
% 0.71/1.13 vsomeType( U ) }.
% 0.71/1.13 { ! Y = T, ! Z = vbind( X, W, U ), T = X, ! V0 = vlookup( Y, Z ), V0 =
% 0.71/1.13 vlookup( T, U ) }.
% 0.71/1.13 { alpha5( X, Y, Z ), X = skol1( X, T, U ) }.
% 0.71/1.13 { alpha5( X, Y, Z ), alpha10( Y, Z, skol1( X, Y, Z ) ) }.
% 0.71/1.13 { ! alpha10( X, Y, Z ), Y = vlookup( Z, skol39( T, Y, Z ) ) }.
% 0.71/1.13 { ! alpha10( X, Y, Z ), ! Z = skol2( X, Y, Z ) }.
% 0.71/1.13 { ! alpha10( X, Y, Z ), X = vbind( skol2( X, Y, Z ), skol58( X, Y, Z ),
% 0.71/1.13 skol39( X, Y, Z ) ) }.
% 0.71/1.13 { ! X = vbind( T, W, U ), Z = T, ! Y = vlookup( Z, U ), alpha10( X, Y, Z )
% 0.71/1.13 }.
% 0.71/1.13 { ! alpha5( X, Y, Z ), alpha11( X, Y, Z ), alpha17( X, Y, Z ) }.
% 0.71/1.13 { ! alpha11( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.71/1.13 { ! alpha17( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.71/1.13 { ! alpha17( X, Y, Z ), X = skol3( X, T, U ) }.
% 0.71/1.13 { ! alpha17( X, Y, Z ), alpha22( Y, Z, skol3( X, Y, Z ) ) }.
% 0.71/1.13 { ! X = T, ! alpha22( Y, Z, T ), alpha17( X, Y, Z ) }.
% 0.71/1.13 { ! alpha22( X, Y, Z ), Y = vsomeType( skol40( T, Y, U ) ) }.
% 0.71/1.13 { ! alpha22( X, Y, Z ), Z = skol4( X, Y, Z ) }.
% 0.71/1.13 { ! alpha22( X, Y, Z ), X = vbind( skol4( X, Y, Z ), skol40( X, Y, Z ),
% 0.71/1.13 skol59( X, Y, Z ) ) }.
% 0.71/1.13 { ! X = vbind( T, U, W ), ! Z = T, ! Y = vsomeType( U ), alpha22( X, Y, Z )
% 0.71/1.13 }.
% 0.71/1.13 { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z, alpha1( X, Y ) }.
% 0.71/1.13 { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z, Z = vnoType }.
% 0.71/1.13 { vlookup( X, Y ) = Z, alpha11( X, Y, Z ) }.
% 0.71/1.13 { ! alpha1( X, Y ), ! Z = vnoType, alpha11( X, Y, Z ) }.
% 0.71/1.13 { ! alpha1( X, Y ), X = skol5( X ) }.
% 0.71/1.13 { ! alpha1( X, Y ), Y = vempty }.
% 0.71/1.13 { ! X = Z, ! Y = vempty, alpha1( X, Y ) }.
% 0.71/1.13 { ! X = W, ! vtcheck( vbind( X, Y, vbind( W, V0, Z ) ), T, U ), vtcheck(
% 0.71/1.13 vbind( X, Y, Z ), T, U ) }.
% 0.71/1.13 { Z = X, ! vtcheck( vbind( Z, T, vbind( X, Y, U ) ), W, V0 ), vtcheck(
% 0.71/1.13 vbind( X, Y, vbind( Z, T, U ) ), W, V0 ) }.
% 0.71/1.13 { ! vgensym( Y ) = X, ! visFreeVar( X, Y ) }.
% 0.71/1.13 { ! Z = X, ! T = W, ! U = vvar( Y ), ! X = Y, ! V0 = vsubst( Z, T, U ), V0
% 0.71/1.13 = W }.
% 0.71/1.13 { ! Y = X, ! Z = W, ! T = vvar( U ), X = U, ! V0 = vsubst( Y, Z, T ), V0 =
% 0.71/1.13 vvar( U ) }.
% 0.71/1.13 { ! X = U, ! Y = W, ! Z = vapp( T, V0 ), ! V1 = vsubst( X, Y, Z ), V1 =
% 0.71/1.13 vapp( vsubst( U, W, T ), vsubst( U, W, V0 ) ) }.
% 0.71/1.13 { ! Y = X, ! Z = V1, ! T = vabs( U, W, V0 ), ! X = U, ! V2 = vsubst( Y, Z,
% 0.71/1.13 T ), V2 = vabs( U, W, V0 ) }.
% 0.71/1.13 { ! X = T, ! Y = U, ! Z = vabs( V0, W, V1 ), T = V0, ! visFreeVar( V0, U )
% 0.71/1.13 , ! V2 = vgensym( vapp( vapp( U, V1 ), vvar( T ) ) ), ! V3 = vsubst( X, Y
% 0.71/1.13 , Z ), V3 = vsubst( T, U, vabs( V2, W, vsubst( V0, vvar( V2 ), V1 ) ) ) }
% 0.71/1.13 .
% 0.71/1.13 { ! X = W, ! Y = V0, ! Z = vabs( T, U, V1 ), W = T, visFreeVar( T, V0 ), !
% 0.71/1.13 V2 = vsubst( X, Y, Z ), V2 = vabs( T, U, vsubst( W, V0, V1 ) ) }.
% 0.71/1.13 { alpha28( X, Y, Z, T ), X = skol6( X, U, W, V0 ) }.
% 0.71/1.13 { alpha28( X, Y, Z, T ), alpha33( Y, Z, T, skol6( X, Y, Z, T ) ) }.
% 0.71/1.13 { ! alpha33( X, Y, Z, T ), X = skol7( X, U, W, V0 ) }.
% 0.71/1.13 { ! alpha33( X, Y, Z, T ), alpha36( Y, Z, T, skol7( X, Y, Z, T ) ) }.
% 0.71/1.13 { ! X = U, ! alpha36( Y, Z, T, U ), alpha33( X, Y, Z, T ) }.
% 0.71/1.13 { ! alpha36( X, Y, Z, T ), alpha39( X, Z, skol8( X, Y, Z, T ), skol41( X, Y
% 0.71/1.13 , Z, T ), skol60( X, Y, Z, T ) ) }.
% 0.71/1.13 { ! alpha36( X, Y, Z, T ), ! visFreeVar( skol8( X, Y, Z, T ), T ) }.
% 0.71/1.13 { ! alpha36( X, Y, Z, T ), Y = vabs( skol8( X, Y, Z, T ), skol41( X, Y, Z,
% 0.71/1.13 T ), vsubst( Z, T, skol60( X, Y, Z, T ) ) ) }.
% 0.71/1.13 { ! alpha39( X, Z, U, W, V0 ), visFreeVar( U, T ), ! Y = vabs( U, W, vsubst
% 0.71/1.13 ( Z, T, V0 ) ), alpha36( X, Y, Z, T ) }.
% 0.71/1.13 { ! alpha39( X, Y, Z, T, U ), X = vabs( Z, T, U ) }.
% 0.71/1.13 { ! alpha39( X, Y, Z, T, U ), ! Y = Z }.
% 0.71/1.13 { ! X = vabs( Z, T, U ), Y = Z, alpha39( X, Y, Z, T, U ) }.
% 0.71/1.13 { ! alpha28( X, Y, Z, T ), alpha34( X, Y, Z, T ), alpha37( X, Y, Z, T ) }.
% 0.71/1.13 { ! alpha34( X, Y, Z, T ), alpha28( X, Y, Z, T ) }.
% 0.71/1.13 { ! alpha37( X, Y, Z, T ), alpha28( X, Y, Z, T ) }.
% 0.71/1.13 { ! alpha37( X, Y, Z, T ), X = skol9( X, U, W, V0 ) }.
% 0.71/1.13 { ! alpha37( X, Y, Z, T ), alpha40( Y, Z, T, skol9( X, Y, Z, T ) ) }.
% 0.71/1.13 { ! X = U, ! alpha40( Y, Z, T, U ), alpha37( X, Y, Z, T ) }.
% 0.71/1.13 { ! alpha40( X, Y, Z, T ), X = skol10( X, U, W, V0 ) }.
% 0.71/1.13 { ! alpha40( X, Y, Z, T ), alpha42( Y, Z, T, skol10( X, Y, Z, T ) ) }.
% 0.71/1.13 { ! X = U, ! alpha42( Y, Z, T, U ), alpha40( X, Y, Z, T ) }.
% 0.71/1.13 { ! alpha42( X, Y, Z, T ), alpha48( X, Z, T, skol11( X, Y, Z, T ), skol42(
% 0.71/1.13 X, Y, Z, T ), skol61( X, Y, Z, T ) ) }.
% 0.71/1.13 { ! alpha42( X, Y, Z, T ), skol76( X, Y, Z, T ) = vgensym( vapp( vapp( T,
% 0.71/1.13 skol61( X, Y, Z, T ) ), vvar( Z ) ) ) }.
% 0.71/1.13 { ! alpha42( X, Y, Z, T ), Y = vsubst( Z, T, vabs( skol76( X, Y, Z, T ),
% 0.71/1.13 skol11( X, Y, Z, T ), vsubst( skol42( X, Y, Z, T ), vvar( skol76( X, Y, Z
% 0.71/1.13 , T ) ), skol61( X, Y, Z, T ) ) ) ) }.
% 0.71/1.13 { ! alpha48( X, Z, T, U, W, V0 ), ! V1 = vgensym( vapp( vapp( T, V0 ), vvar
% 0.71/1.13 ( Z ) ) ), ! Y = vsubst( Z, T, vabs( V1, U, vsubst( W, vvar( V1 ), V0 ) )
% 0.71/1.13 ), alpha42( X, Y, Z, T ) }.
% 0.71/1.13 { ! alpha48( X, Y, Z, T, U, W ), alpha45( X, Y, T, U, W ) }.
% 0.71/1.13 { ! alpha48( X, Y, Z, T, U, W ), visFreeVar( U, Z ) }.
% 0.71/1.13 { ! alpha45( X, Y, T, U, W ), ! visFreeVar( U, Z ), alpha48( X, Y, Z, T, U
% 0.71/1.13 , W ) }.
% 0.71/1.13 { ! alpha45( X, Y, Z, T, U ), X = vabs( T, Z, U ) }.
% 0.71/1.13 { ! alpha45( X, Y, Z, T, U ), ! Y = T }.
% 0.71/1.13 { ! X = vabs( T, Z, U ), Y = T, alpha45( X, Y, Z, T, U ) }.
% 0.71/1.13 { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z, T ), alpha23( Z, T, skol12( U
% 0.71/1.13 , W, Z, T ) ) }.
% 0.71/1.13 { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z, T ), alpha18( X, Y, skol12( X
% 0.71/1.13 , Y, Z, T ) ) }.
% 0.71/1.13 { ! alpha38( X, Y, Z, T ), alpha34( X, Y, Z, T ) }.
% 0.71/1.13 { ! alpha18( X, Y, U ), ! alpha23( Z, T, U ), alpha34( X, Y, Z, T ) }.
% 0.71/1.13 { ! alpha38( X, Y, Z, T ), alpha41( X, Y, Z, T ), alpha43( X, Y, Z, T ) }.
% 0.71/1.13 { ! alpha41( X, Y, Z, T ), alpha38( X, Y, Z, T ) }.
% 0.71/1.13 { ! alpha43( X, Y, Z, T ), alpha38( X, Y, Z, T ) }.
% 0.71/1.13 { ! alpha43( X, Y, Z, T ), X = skol13( X, U, W, V0 ) }.
% 0.71/1.13 { ! alpha43( X, Y, Z, T ), alpha46( Y, Z, T, skol13( X, Y, Z, T ) ) }.
% 0.71/1.13 { ! X = U, ! alpha46( Y, Z, T, U ), alpha43( X, Y, Z, T ) }.
% 0.71/1.13 { ! alpha46( X, Y, Z, T ), X = skol14( X, U, W, V0 ) }.
% 0.71/1.13 { ! alpha46( X, Y, Z, T ), Y = vapp( skol43( X, Y, Z, T ), skol62( X, Y, Z
% 0.71/1.13 , T ) ) }.
% 0.71/1.13 { ! alpha46( X, Y, Z, T ), Z = vapp( vsubst( T, skol14( X, Y, Z, T ),
% 0.71/1.13 skol43( X, Y, Z, T ) ), vsubst( T, skol14( X, Y, Z, T ), skol62( X, Y, Z
% 0.71/1.13 , T ) ) ) }.
% 0.71/1.13 { ! X = U, ! Y = vapp( W, V0 ), ! Z = vapp( vsubst( T, U, W ), vsubst( T, U
% 0.71/1.13 , V0 ) ), alpha46( X, Y, Z, T ) }.
% 0.71/1.13 { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z, T ), alpha12( Z, T, skol15( U
% 0.71/1.13 , W, Z, T ) ) }.
% 0.71/1.13 { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z, T ), alpha6( X, Y, skol15( X,
% 0.71/1.13 Y, Z, T ) ) }.
% 0.71/1.13 { ! alpha44( X, Y, Z, T ), alpha41( X, Y, Z, T ) }.
% 0.71/1.13 { ! alpha6( X, Y, U ), ! alpha12( Z, T, U ), alpha41( X, Y, Z, T ) }.
% 0.71/1.13 { ! alpha44( X, Y, Z, T ), ! vsubst( X, Y, Z ) = T, alpha47( X, Y, Z, T ) }
% 0.71/1.13 .
% 0.71/1.13 { vsubst( X, Y, Z ) = T, alpha44( X, Y, Z, T ) }.
% 0.71/1.13 { ! alpha47( X, Y, Z, T ), alpha44( X, Y, Z, T ) }.
% 0.71/1.13 { ! alpha47( X, Y, Z, T ), X = skol16( X, U, W, V0 ) }.
% 0.71/1.13 { ! alpha47( X, Y, Z, T ), alpha49( Y, Z, T, skol16( X, Y, Z, T ) ) }.
% 0.71/1.13 { ! X = U, ! alpha49( Y, Z, T, U ), alpha47( X, Y, Z, T ) }.
% 0.71/1.13 { ! alpha49( X, Y, Z, T ), X = skol17( X, U, W, V0 ) }.
% 0.71/1.13 { ! alpha49( X, Y, Z, T ), alpha2( Y, T, skol44( U, Y, W, T ) ) }.
% 0.71/1.13 { ! alpha49( X, Y, Z, T ), Z = skol17( X, Y, Z, T ) }.
% 0.71/1.13 { ! X = U, ! alpha2( Y, T, W ), ! Z = U, alpha49( X, Y, Z, T ) }.
% 0.71/1.13 { ! alpha23( X, Y, Z ), X = vabs( skol18( X, Y, Z ), skol45( X, Y, Z ),
% 0.71/1.13 skol63( X, Y, Z ) ) }.
% 0.71/1.13 { ! alpha23( X, Y, Z ), Z = skol18( X, Y, Z ) }.
% 0.71/1.13 { ! alpha23( X, Y, Z ), Y = vabs( skol18( X, Y, Z ), skol45( X, Y, Z ),
% 0.71/1.13 skol63( X, Y, Z ) ) }.
% 0.71/1.13 { ! X = vabs( T, U, W ), ! Z = T, ! Y = vabs( T, U, W ), alpha23( X, Y, Z )
% 0.71/1.13 }.
% 0.71/1.13 { ! alpha18( X, Y, Z ), X = Z }.
% 0.71/1.13 { ! alpha18( X, Y, Z ), Y = skol19( Y ) }.
% 0.71/1.13 { ! X = Z, ! Y = T, alpha18( X, Y, Z ) }.
% 0.71/1.13 { ! alpha12( X, Y, Z ), ! Z = skol20( T, U, Z ) }.
% 0.71/1.13 { ! alpha12( X, Y, Z ), Y = vvar( skol20( T, Y, Z ) ) }.
% 0.71/1.13 { ! alpha12( X, Y, Z ), X = vvar( skol20( X, Y, Z ) ) }.
% 0.71/1.13 { ! X = vvar( T ), Z = T, ! Y = vvar( T ), alpha12( X, Y, Z ) }.
% 0.71/1.13 { ! alpha6( X, Y, Z ), X = Z }.
% 0.71/1.13 { ! alpha6( X, Y, Z ), Y = skol21( Y ) }.
% 0.71/1.13 { ! X = Z, ! Y = T, alpha6( X, Y, Z ) }.
% 0.71/1.13 { ! alpha2( X, Y, Z ), X = vvar( Z ) }.
% 0.71/1.13 { ! alpha2( X, Y, Z ), Y = Z }.
% 0.71/1.13 { ! X = vvar( Z ), ! Y = Z, alpha2( X, Y, Z ) }.
% 0.71/1.13 { ! &&, vnoExp = vnoExp }.
% 0.71/1.13 { ! vsomeExp( X ) = vsomeExp( Y ), X = Y }.
% 0.71/1.13 { ! X = Y, vsomeExp( X ) = vsomeExp( Y ) }.
% 0.71/1.13 { ! vnoExp = vsomeExp( X ) }.
% 0.71/1.13 { ! X = vnoExp, ! visSomeExp( X ) }.
% 0.71/1.13 { ! X = vsomeExp( Y ), visSomeExp( X ) }.
% 0.71/1.13 { ! X = vsomeExp( Y ), ! Z = vgetSomeExp( X ), Z = Y }.
% 0.71/1.13 { ! X = vvar( Y ), ! Z = vreduce( X ), Z = vnoExp }.
% 0.71/1.13 { ! X = vabs( Y, Z, T ), ! U = vreduce( X ), U = vnoExp }.
% 0.71/1.13 { ! Y = vapp( vabs( Z, T, U ), X ), ! W = vreduce( X ), ! visSomeExp( W ),
% 0.71/1.13 ! V0 = vreduce( Y ), V0 = vsomeExp( vapp( vabs( Z, T, U ), vgetSomeExp( W
% 0.71/1.13 ) ) ) }.
% 0.71/1.13 { ! X = vapp( vabs( Y, U, T ), Z ), ! W = vreduce( Z ), visSomeExp( W ), !
% 0.71/1.13 visValue( Z ), ! V0 = vreduce( X ), V0 = vsomeExp( vsubst( Y, Z, T ) ) }
% 0.71/1.13 .
% 0.71/1.13 { ! Y = vapp( vabs( Z, T, U ), X ), ! W = vreduce( X ), visSomeExp( W ),
% 0.71/1.13 visValue( X ), ! V0 = vreduce( Y ), V0 = vnoExp }.
% 0.71/1.13 { ! Y = vapp( X, Z ), X = vabs( skol22( X ), skol46( X ), skol64( X ) ), !
% 0.71/1.13 T = vreduce( X ), ! visSomeExp( T ), ! U = vreduce( Y ), U = vsomeExp(
% 0.71/1.13 vapp( vgetSomeExp( T ), Z ) ) }.
% 0.71/1.13 { ! Y = vapp( X, Z ), X = vabs( skol23( X ), skol47( X ), skol65( X ) ), !
% 0.71/1.13 T = vreduce( X ), visSomeExp( T ), ! U = vreduce( Y ), U = vnoExp }.
% 0.71/1.13 { alpha3( X, Y ), alpha13( Y, skol24( Z, Y ) ) }.
% 0.71/1.13 { alpha3( X, Y ), alpha7( X, skol24( X, Y ) ) }.
% 0.71/1.13 { ! alpha13( X, Y ), ! visSomeExp( skol25( Z, T ) ) }.
% 0.71/1.13 { ! alpha13( X, Y ), skol25( Z, Y ) = vreduce( Y ) }.
% 0.71/1.13 { ! alpha13( X, Y ), X = vnoExp }.
% 0.71/1.13 { ! Z = vreduce( Y ), visSomeExp( Z ), ! X = vnoExp, alpha13( X, Y ) }.
% 0.71/1.13 { ! alpha7( X, Y ), X = vapp( Y, skol26( X, Y ) ) }.
% 0.71/1.13 { ! alpha7( X, Y ), ! Y = vabs( Z, T, U ) }.
% 0.71/1.13 { ! X = vapp( Y, Z ), Y = vabs( skol48( Y ), skol66( Y ), skol77( Y ) ),
% 0.71/1.13 alpha7( X, Y ) }.
% 0.71/1.13 { ! alpha3( X, Y ), alpha8( X, Y ), alpha14( X, Y ) }.
% 0.71/1.13 { ! alpha8( X, Y ), alpha3( X, Y ) }.
% 0.71/1.13 { ! alpha14( X, Y ), alpha3( X, Y ) }.
% 0.71/1.13 { ! alpha14( X, Y ), alpha24( X, skol27( X, Y ), skol49( X, Y ) ) }.
% 0.71/1.13 { ! alpha14( X, Y ), alpha19( skol27( X, Y ), skol67( X, Y ) ) }.
% 0.71/1.13 { ! alpha14( X, Y ), Y = vsomeExp( vapp( vgetSomeExp( skol67( X, Y ) ),
% 0.71/1.13 skol49( X, Y ) ) ) }.
% 0.71/1.13 { ! alpha24( X, Z, T ), ! alpha19( Z, U ), ! Y = vsomeExp( vapp(
% 0.71/1.13 vgetSomeExp( U ), T ) ), alpha14( X, Y ) }.
% 0.71/1.13 { ! alpha24( X, Y, Z ), X = vapp( Y, Z ) }.
% 0.71/1.13 { ! alpha24( X, Y, Z ), ! Y = vabs( T, U, W ) }.
% 0.71/1.13 { ! X = vapp( Y, Z ), Y = vabs( skol28( Y ), skol50( Y ), skol68( Y ) ),
% 0.71/1.13 alpha24( X, Y, Z ) }.
% 0.71/1.13 { ! alpha19( X, Y ), Y = vreduce( X ) }.
% 0.71/1.13 { ! alpha19( X, Y ), visSomeExp( Y ) }.
% 0.71/1.13 { ! Y = vreduce( X ), ! visSomeExp( Y ), alpha19( X, Y ) }.
% 0.71/1.13 { ! alpha8( X, Y ), alpha15( X, Y ), alpha20( X, Y ) }.
% 0.71/1.13 { ! alpha15( X, Y ), alpha8( X, Y ) }.
% 0.71/1.13 { ! alpha20( X, Y ), alpha8( X, Y ) }.
% 0.71/1.13 { ! alpha20( X, Y ), alpha25( Y, skol29( Z, Y ) ) }.
% 0.71/1.13 { ! alpha20( X, Y ), X = vapp( vabs( skol51( X, Y ), skol69( X, Y ), skol78
% 0.71/1.13 ( X, Y ) ), skol29( X, Y ) ) }.
% 0.71/1.13 { ! X = vapp( vabs( T, U, W ), Z ), ! alpha25( Y, Z ), alpha20( X, Y ) }.
% 0.71/1.13 { ! alpha25( X, Y ), alpha29( Y, skol30( Z, Y ) ) }.
% 0.71/1.13 { ! alpha25( X, Y ), X = vnoExp }.
% 0.71/1.13 { ! alpha29( Y, Z ), ! X = vnoExp, alpha25( X, Y ) }.
% 0.71/1.13 { ! alpha29( X, Y ), Y = vreduce( X ) }.
% 0.71/1.13 { ! alpha29( X, Y ), ! visSomeExp( Y ) }.
% 0.71/1.13 { ! alpha29( X, Y ), ! visValue( X ) }.
% 0.71/1.13 { ! Y = vreduce( X ), visSomeExp( Y ), visValue( X ), alpha29( X, Y ) }.
% 0.71/1.13 { ! alpha15( X, Y ), alpha21( X, Y ), alpha26( X, Y ) }.
% 0.71/1.13 { ! alpha21( X, Y ), alpha15( X, Y ) }.
% 0.71/1.13 { ! alpha26( X, Y ), alpha15( X, Y ) }.
% 0.71/1.13 { ! alpha26( X, Y ), X = vapp( vabs( skol31( X, Y ), skol79( X, Y ), skol70
% 0.71/1.13 ( X, Y ) ), skol52( X, Y ) ) }.
% 0.71/1.13 { ! alpha26( X, Y ), alpha30( skol52( X, Y ), skol83( X, Y ) ) }.
% 0.71/1.13 { ! alpha26( X, Y ), Y = vsomeExp( vsubst( skol31( X, Y ), skol52( X, Y ),
% 0.71/1.13 skol70( X, Y ) ) ) }.
% 0.71/1.13 { ! X = vapp( vabs( Z, W, U ), T ), ! alpha30( T, V0 ), ! Y = vsomeExp(
% 0.71/1.13 vsubst( Z, T, U ) ), alpha26( X, Y ) }.
% 0.71/1.13 { ! alpha30( X, Y ), Y = vreduce( X ) }.
% 0.71/1.13 { ! alpha30( X, Y ), ! visSomeExp( Y ) }.
% 0.71/1.13 { ! alpha30( X, Y ), visValue( X ) }.
% 0.71/1.13 { ! Y = vreduce( X ), visSomeExp( Y ), ! visValue( X ), alpha30( X, Y ) }.
% 0.71/1.13 { ! alpha21( X, Y ), alpha27( X, Y ), alpha31( X, Y ) }.
% 0.71/1.13 { ! alpha27( X, Y ), alpha21( X, Y ) }.
% 0.71/1.13 { ! alpha31( X, Y ), alpha21( X, Y ) }.
% 0.71/1.13 { ! alpha31( X, Y ), X = vapp( vabs( skol53( X, Y ), skol71( X, Y ), skol80
% 0.71/1.13 ( X, Y ) ), skol32( X, Y ) ) }.
% 0.71/1.13 { ! alpha31( X, Y ), alpha35( skol32( X, Y ), skol84( X, Y ) ) }.
% 0.71/1.13 { ! alpha31( X, Y ), Y = vsomeExp( vapp( vabs( skol53( X, Y ), skol71( X, Y
% 0.71/1.13 ), skol80( X, Y ) ), vgetSomeExp( skol84( X, Y ) ) ) ) }.
% 0.71/1.13 { ! X = vapp( vabs( T, U, W ), Z ), ! alpha35( Z, V0 ), ! Y = vsomeExp(
% 0.71/1.13 vapp( vabs( T, U, W ), vgetSomeExp( V0 ) ) ), alpha31( X, Y ) }.
% 0.71/1.13 { ! alpha35( X, Y ), Y = vreduce( X ) }.
% 0.71/1.13 { ! alpha35( X, Y ), visSomeExp( Y ) }.
% 0.71/1.13 { ! Y = vreduce( X ), ! visSomeExp( Y ), alpha35( X, Y ) }.
% 0.71/1.13 { ! alpha27( X, Y ), alpha32( X, Y ), X = vabs( skol33( X ), skol54( X ),
% 0.71/1.13 skol72( X ) ) }.
% 0.71/1.13 { ! alpha27( X, Y ), alpha32( X, Y ), Y = vnoExp }.
% 0.71/1.13 { ! alpha32( X, Y ), alpha27( X, Y ) }.
% 0.71/1.13 { ! X = vabs( Z, T, U ), ! Y = vnoExp, alpha27( X, Y ) }.
% 0.71/1.13 { ! alpha32( X, Y ), ! vreduce( X ) = Y, X = vvar( skol34( X ) ) }.
% 0.71/1.13 { ! alpha32( X, Y ), ! vreduce( X ) = Y, Y = vnoExp }.
% 0.71/1.13 { vreduce( X ) = Y, alpha32( X, Y ) }.
% 0.71/1.13 { ! X = vvar( Z ), ! Y = vnoExp, alpha32( X, Y ) }.
% 0.71/1.13 { ! varrow( X, Y ) = varrow( Z, T ), X = Z }.
% 0.71/1.13 { ! varrow( X, Y ) = varrow( Z, T ), Y = T }.
% 0.71/1.13 { ! X = Z, ! Y = T, varrow( X, Y ) = varrow( Z, T ) }.
% 0.71/1.13 { ! vlookup( Y, X ) = vsomeType( Z ), vtcheck( X, vvar( Y ), Z ) }.
% 0.71/1.13 { ! vtcheck( vbind( Y, T, X ), Z, U ), vtcheck( X, vabs( Y, T, Z ), varrow
% 0.71/1.13 ( T, U ) ) }.
% 0.71/1.13 { ! vtcheck( X, Y, varrow( U, T ) ), ! vtcheck( X, Z, U ), vtcheck( X, vapp
% 0.71/1.13 ( Y, Z ), T ) }.
% 0.71/1.13 { alpha4( X, Y, Z ), X = vapp( skol35( X, Y, Z ), skol55( X, Y, Z ) ) }.
% 0.71/1.13 { alpha4( X, Y, Z ), vtcheck( Z, skol35( X, Y, Z ), varrow( skol73( X, Y, Z
% 0.71/1.13 ), Y ) ) }.
% 0.71/1.13 { alpha4( X, Y, Z ), vtcheck( Z, skol55( X, Y, Z ), skol73( X, Y, Z ) ) }.
% 0.71/1.13 { ! alpha4( X, Y, Z ), alpha9( X, Y, Z ), alpha16( X, Y, Z ) }.
% 0.71/1.13 { ! alpha9( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.71/1.13 { ! alpha16( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.71/1.13 { ! alpha16( X, Y, Z ), X = vabs( skol36( X, Y, Z ), skol74( X, Y, Z ),
% 0.71/1.13 skol56( X, Y, Z ) ) }.
% 0.71/1.13 { ! alpha16( X, Y, Z ), Y = varrow( skol74( X, Y, Z ), skol81( X, Y, Z ) )
% 0.71/1.13 }.
% 0.71/1.13 { ! alpha16( X, Y, Z ), vtcheck( vbind( skol36( X, Y, Z ), skol74( X, Y, Z
% 0.71/1.13 ), Z ), skol56( X, Y, Z ), skol81( X, Y, Z ) ) }.
% 0.71/1.13 { ! X = vabs( T, W, U ), ! Y = varrow( W, V0 ), ! vtcheck( vbind( T, W, Z )
% 0.71/1.13 , U, V0 ), alpha16( X, Y, Z ) }.
% 0.71/1.13 { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ), X = vvar( skol37( X, T, U ) )
% 0.71/1.13 }.
% 0.71/1.13 { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ), vlookup( skol37( X, Y, Z ), Z
% 0.71/1.13 ) = vsomeType( Y ) }.
% 0.71/1.13 { vtcheck( Z, X, Y ), alpha9( X, Y, Z ) }.
% 0.71/1.13 { ! X = vvar( T ), ! vlookup( T, Z ) = vsomeType( Y ), alpha9( X, Y, Z ) }
% 0.71/1.13 .
% 0.71/1.13 { ! vlookup( X, Y ) = vnoType, ! vtcheck( Y, veabs, Z ), vtcheck( vbind( X
% 0.71/1.13 , T, Y ), veabs, Z ) }.
% 0.71/1.13 { X = Z, ! vlookup( X, Y ) = vnoType, ! vtcheck( Y, vabs( Z, T, veabs ), U
% 0.71/1.13 ), vtcheck( vbind( X, W, Y ), vabs( Z, T, veabs ), U ) }.
% 0.71/1.13 { ! X = Z, ! vlookup( X, Y ) = vnoType, ! vtcheck( Y, vabs( Z, T, veabs ),
% 0.71/1.13 U ), vtcheck( vbind( X, W, Y ), vabs( Z, T, veabs ), U ) }.
% 0.71/1.13 { vlookup( skol38, skol57 ) = vnoType }.
% 0.71/1.13 { vtcheck( skol57, vabs( skol75, skol82, veabs ), skol85 ) }.
% 0.71/1.13 { ! vtcheck( vbind( skol38, skol86, skol57 ), vabs( skol75, skol82, veabs )
% 0.71/1.13 , skol85 ) }.
% 0.71/1.13
% 0.71/1.13 *** allocated 15000 integers for clauses
% 0.71/1.13 percentage equality = 0.478528, percentage horn = 0.802419
% 0.71/1.13 This is a problem with some equality
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 Options Used:
% 0.71/1.13
% 0.71/1.13 useres = 1
% 0.71/1.13 useparamod = 1
% 0.71/1.13 useeqrefl = 1
% 0.71/1.13 useeqfact = 1
% 0.71/1.13 usefactor = 1
% 0.71/1.13 usesimpsplitting = 0
% 0.71/1.13 usesimpdemod = 5
% 0.71/1.13 usesimpres = 3
% 0.71/1.13
% 0.71/1.13 resimpinuse = 1000
% 0.71/1.13 resimpclauses = 20000
% 0.71/1.13 substype = eqrewr
% 0.71/1.13 backwardsubs = 1
% 0.71/1.13 selectoldest = 5
% 0.71/1.13
% 0.71/1.13 litorderings [0] = split
% 0.71/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.13
% 0.71/1.13 termordering = kbo
% 0.71/1.13
% 0.71/1.13 litapriori = 0
% 0.71/1.13 termapriori = 1
% 0.71/1.13 litaposteriori = 0
% 0.71/1.13 termaposteriori = 0
% 0.71/1.13 demodaposteriori = 0
% 0.71/1.13 ordereqreflfact = 0
% 0.71/1.13
% 0.71/1.13 litselect = negord
% 0.71/1.13
% 0.71/1.13 maxweight = 15
% 0.71/1.13 maxdepth = 30000
% 0.71/1.13 maxlength = 115
% 0.71/1.13 maxnrvars = 195
% 0.71/1.13 excuselevel = 1
% 0.71/1.13 increasemaxweight = 1
% 0.71/1.13
% 0.71/1.13 maxselected = 10000000
% 0.71/1.13 maxnrclauses = 10000000
% 0.71/1.13
% 0.71/1.13 showgenerated = 0
% 0.71/1.13 showkept = 0
% 0.71/1.13 showselected = 0
% 0.71/1.13 showdeleted = 0
% 0.71/1.13 showresimp = 1
% 0.71/1.13 showstatus = 2000
% 0.71/1.13
% 0.71/1.13 prologoutput = 0
% 0.71/1.13 nrgoals = 5000000
% 0.71/1.13 totalproof = 1
% 0.71/1.13
% 0.71/1.13 Symbols occurring in the translation:
% 0.71/1.13
% 0.71/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.13 . [1, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.71/1.13 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.71/1.13 ! [4, 1] (w:0, o:51, a:1, s:1, b:0),
% 0.71/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.13 vvar [37, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.71/1.13 vabs [42, 3] (w:1, o:152, a:1, s:1, b:0),
% 0.71/1.13 vapp [45, 2] (w:1, o:109, a:1, s:1, b:0),
% 0.71/1.13 visValue [49, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.71/1.13 visFreeVar [53, 2] (w:1, o:110, a:1, s:1, b:0),
% 0.71/1.13 vempty [55, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.71/1.13 vbind [58, 3] (w:1, o:153, a:1, s:1, b:0),
% 0.71/1.13 vnoType [59, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.71/1.13 vsomeType [60, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.71/1.13 visSomeType [62, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.71/1.13 vgetSomeType [64, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.71/1.13 vlookup [65, 2] (w:1, o:111, a:1, s:1, b:0),
% 0.71/1.13 vtcheck [70, 3] (w:1, o:155, a:1, s:1, b:0),
% 0.71/1.13 vgensym [71, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.71/1.13 vsubst [72, 3] (w:1, o:154, a:1, s:1, b:0),
% 0.71/1.13 vnoExp [74, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.71/1.13 vsomeExp [75, 1] (w:1, o:63, a:1, s:1, b:0),
% 0.71/1.13 visSomeExp [77, 1] (w:1, o:64, a:1, s:1, b:0),
% 0.71/1.13 vgetSomeExp [78, 1] (w:1, o:65, a:1, s:1, b:0),
% 0.71/1.13 vreduce [79, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.71/1.13 varrow [87, 2] (w:1, o:112, a:1, s:1, b:0),
% 0.71/1.13 veabs [90, 0] (w:1, o:44, a:1, s:1, b:0),
% 0.71/1.13 alpha1 [92, 2] (w:1, o:113, a:1, s:1, b:1),
% 0.71/1.13 alpha2 [93, 3] (w:1, o:162, a:1, s:1, b:1),
% 0.71/1.13 alpha3 [94, 2] (w:1, o:120, a:1, s:1, b:1),
% 0.71/1.13 alpha4 [95, 3] (w:1, o:163, a:1, s:1, b:1),
% 0.71/1.13 alpha5 [96, 3] (w:1, o:164, a:1, s:1, b:1),
% 0.71/1.13 alpha6 [97, 3] (w:1, o:165, a:1, s:1, b:1),
% 0.71/1.13 alpha7 [98, 2] (w:1, o:121, a:1, s:1, b:1),
% 0.71/1.13 alpha8 [99, 2] (w:1, o:122, a:1, s:1, b:1),
% 0.71/1.13 alpha9 [100, 3] (w:1, o:166, a:1, s:1, b:1),
% 0.71/1.13 alpha10 [101, 3] (w:1, o:156, a:1, s:1, b:1),
% 0.71/1.13 alpha11 [102, 3] (w:1, o:157, a:1, s:1, b:1),
% 0.71/1.13 alpha12 [103, 3] (w:1, o:158, a:1, s:1, b:1),
% 0.71/1.13 alpha13 [104, 2] (w:1, o:123, a:1, s:1, b:1),
% 4.59/5.01 alpha14 [105, 2] (w:1, o:124, a:1, s:1, b:1),
% 4.59/5.01 alpha15 [106, 2] (w:1, o:125, a:1, s:1, b:1),
% 4.59/5.01 alpha16 [107, 3] (w:1, o:159, a:1, s:1, b:1),
% 4.59/5.01 alpha17 [108, 3] (w:1, o:160, a:1, s:1, b:1),
% 4.59/5.01 alpha18 [109, 3] (w:1, o:161, a:1, s:1, b:1),
% 4.59/5.01 alpha19 [110, 2] (w:1, o:126, a:1, s:1, b:1),
% 4.59/5.01 alpha20 [111, 2] (w:1, o:114, a:1, s:1, b:1),
% 4.59/5.01 alpha21 [112, 2] (w:1, o:115, a:1, s:1, b:1),
% 4.59/5.01 alpha22 [113, 3] (w:1, o:167, a:1, s:1, b:1),
% 4.59/5.01 alpha23 [114, 3] (w:1, o:168, a:1, s:1, b:1),
% 4.59/5.01 alpha24 [115, 3] (w:1, o:169, a:1, s:1, b:1),
% 4.59/5.01 alpha25 [116, 2] (w:1, o:116, a:1, s:1, b:1),
% 4.59/5.01 alpha26 [117, 2] (w:1, o:117, a:1, s:1, b:1),
% 4.59/5.01 alpha27 [118, 2] (w:1, o:118, a:1, s:1, b:1),
% 4.59/5.01 alpha28 [119, 4] (w:1, o:190, a:1, s:1, b:1),
% 4.59/5.01 alpha29 [120, 2] (w:1, o:119, a:1, s:1, b:1),
% 4.59/5.01 alpha30 [121, 2] (w:1, o:127, a:1, s:1, b:1),
% 4.59/5.01 alpha31 [122, 2] (w:1, o:128, a:1, s:1, b:1),
% 4.59/5.01 alpha32 [123, 2] (w:1, o:129, a:1, s:1, b:1),
% 4.59/5.01 alpha33 [124, 4] (w:1, o:191, a:1, s:1, b:1),
% 4.59/5.01 alpha34 [125, 4] (w:1, o:192, a:1, s:1, b:1),
% 4.59/5.01 alpha35 [126, 2] (w:1, o:130, a:1, s:1, b:1),
% 4.59/5.01 alpha36 [127, 4] (w:1, o:193, a:1, s:1, b:1),
% 4.59/5.01 alpha37 [128, 4] (w:1, o:194, a:1, s:1, b:1),
% 4.59/5.01 alpha38 [129, 4] (w:1, o:195, a:1, s:1, b:1),
% 4.59/5.01 alpha39 [130, 5] (w:1, o:224, a:1, s:1, b:1),
% 4.59/5.01 alpha40 [131, 4] (w:1, o:196, a:1, s:1, b:1),
% 4.59/5.01 alpha41 [132, 4] (w:1, o:197, a:1, s:1, b:1),
% 4.59/5.01 alpha42 [133, 4] (w:1, o:198, a:1, s:1, b:1),
% 4.59/5.01 alpha43 [134, 4] (w:1, o:199, a:1, s:1, b:1),
% 4.59/5.01 alpha44 [135, 4] (w:1, o:200, a:1, s:1, b:1),
% 4.59/5.01 alpha45 [136, 5] (w:1, o:225, a:1, s:1, b:1),
% 4.59/5.01 alpha46 [137, 4] (w:1, o:201, a:1, s:1, b:1),
% 4.59/5.01 alpha47 [138, 4] (w:1, o:202, a:1, s:1, b:1),
% 4.59/5.01 alpha48 [139, 6] (w:1, o:226, a:1, s:1, b:1),
% 4.59/5.01 alpha49 [140, 4] (w:1, o:203, a:1, s:1, b:1),
% 4.59/5.01 skol1 [141, 3] (w:1, o:170, a:1, s:1, b:1),
% 4.59/5.01 skol2 [142, 3] (w:1, o:172, a:1, s:1, b:1),
% 4.59/5.01 skol3 [143, 3] (w:1, o:174, a:1, s:1, b:1),
% 4.59/5.01 skol4 [144, 3] (w:1, o:179, a:1, s:1, b:1),
% 4.59/5.01 skol5 [145, 1] (w:1, o:69, a:1, s:1, b:1),
% 4.59/5.01 skol6 [146, 4] (w:1, o:204, a:1, s:1, b:1),
% 4.59/5.01 skol7 [147, 4] (w:1, o:208, a:1, s:1, b:1),
% 4.59/5.01 skol8 [148, 4] (w:1, o:210, a:1, s:1, b:1),
% 4.59/5.01 skol9 [149, 4] (w:1, o:211, a:1, s:1, b:1),
% 4.59/5.01 skol10 [150, 4] (w:1, o:212, a:1, s:1, b:1),
% 4.59/5.01 skol11 [151, 4] (w:1, o:213, a:1, s:1, b:1),
% 4.59/5.01 skol12 [152, 4] (w:1, o:214, a:1, s:1, b:1),
% 4.59/5.01 skol13 [153, 4] (w:1, o:215, a:1, s:1, b:1),
% 4.59/5.01 skol14 [154, 4] (w:1, o:216, a:1, s:1, b:1),
% 4.59/5.01 skol15 [155, 4] (w:1, o:217, a:1, s:1, b:1),
% 4.59/5.01 skol16 [156, 4] (w:1, o:218, a:1, s:1, b:1),
% 4.59/5.01 skol17 [157, 4] (w:1, o:219, a:1, s:1, b:1),
% 4.59/5.01 skol18 [158, 3] (w:1, o:171, a:1, s:1, b:1),
% 4.59/5.01 skol19 [159, 1] (w:1, o:70, a:1, s:1, b:1),
% 4.59/5.01 skol20 [160, 3] (w:1, o:173, a:1, s:1, b:1),
% 4.59/5.01 skol21 [161, 1] (w:1, o:71, a:1, s:1, b:1),
% 4.59/5.01 skol22 [162, 1] (w:1, o:72, a:1, s:1, b:1),
% 4.59/5.01 skol23 [163, 1] (w:1, o:73, a:1, s:1, b:1),
% 4.59/5.01 skol24 [164, 2] (w:1, o:131, a:1, s:1, b:1),
% 4.59/5.01 skol25 [165, 2] (w:1, o:132, a:1, s:1, b:1),
% 4.59/5.01 skol26 [166, 2] (w:1, o:133, a:1, s:1, b:1),
% 4.59/5.01 skol27 [167, 2] (w:1, o:134, a:1, s:1, b:1),
% 4.59/5.01 skol28 [168, 1] (w:1, o:74, a:1, s:1, b:1),
% 4.59/5.01 skol29 [169, 2] (w:1, o:135, a:1, s:1, b:1),
% 4.59/5.01 skol30 [170, 2] (w:1, o:136, a:1, s:1, b:1),
% 4.59/5.01 skol31 [171, 2] (w:1, o:137, a:1, s:1, b:1),
% 4.59/5.01 skol32 [172, 2] (w:1, o:138, a:1, s:1, b:1),
% 4.59/5.01 skol33 [173, 1] (w:1, o:75, a:1, s:1, b:1),
% 4.59/5.01 skol34 [174, 1] (w:1, o:76, a:1, s:1, b:1),
% 4.59/5.01 skol35 [175, 3] (w:1, o:175, a:1, s:1, b:1),
% 4.59/5.01 skol36 [176, 3] (w:1, o:176, a:1, s:1, b:1),
% 4.59/5.01 skol37 [177, 3] (w:1, o:177, a:1, s:1, b:1),
% 4.59/5.01 skol38 [178, 0] (w:1, o:45, a:1, s:1, b:1),
% 4.59/5.01 skol39 [179, 3] (w:1, o:178, a:1, s:1, b:1),
% 4.59/5.01 skol40 [180, 3] (w:1, o:180, a:1, s:1, b:1),
% 4.59/5.01 skol41 [181, 4] (w:1, o:220, a:1, s:1, b:1),
% 4.59/5.01 skol42 [182, 4] (w:1, o:221, a:1, s:1, b:1),
% 4.59/5.01 skol43 [183, 4] (w:1, o:222, a:1, s:1, b:1),
% 17.74/18.10 skol44 [184, 4] (w:1, o:223, a:1, s:1, b:1),
% 17.74/18.10 skol45 [185, 3] (w:1, o:181, a:1, s:1, b:1),
% 17.74/18.10 skol46 [186, 1] (w:1, o:66, a:1, s:1, b:1),
% 17.74/18.10 skol47 [187, 1] (w:1, o:67, a:1, s:1, b:1),
% 17.74/18.10 skol48 [188, 1] (w:1, o:68, a:1, s:1, b:1),
% 17.74/18.10 skol49 [189, 2] (w:1, o:139, a:1, s:1, b:1),
% 17.74/18.10 skol50 [190, 1] (w:1, o:77, a:1, s:1, b:1),
% 17.74/18.10 skol51 [191, 2] (w:1, o:140, a:1, s:1, b:1),
% 17.74/18.10 skol52 [192, 2] (w:1, o:141, a:1, s:1, b:1),
% 17.74/18.10 skol53 [193, 2] (w:1, o:142, a:1, s:1, b:1),
% 17.74/18.10 skol54 [194, 1] (w:1, o:78, a:1, s:1, b:1),
% 17.74/18.10 skol55 [195, 3] (w:1, o:182, a:1, s:1, b:1),
% 17.74/18.10 skol56 [196, 3] (w:1, o:183, a:1, s:1, b:1),
% 17.74/18.10 skol57 [197, 0] (w:1, o:46, a:1, s:1, b:1),
% 17.74/18.10 skol58 [198, 3] (w:1, o:184, a:1, s:1, b:1),
% 17.74/18.10 skol59 [199, 3] (w:1, o:185, a:1, s:1, b:1),
% 17.74/18.10 skol60 [200, 4] (w:1, o:205, a:1, s:1, b:1),
% 17.74/18.10 skol61 [201, 4] (w:1, o:206, a:1, s:1, b:1),
% 17.74/18.10 skol62 [202, 4] (w:1, o:207, a:1, s:1, b:1),
% 17.74/18.10 skol63 [203, 3] (w:1, o:186, a:1, s:1, b:1),
% 17.74/18.10 skol64 [204, 1] (w:1, o:79, a:1, s:1, b:1),
% 17.74/18.10 skol65 [205, 1] (w:1, o:80, a:1, s:1, b:1),
% 17.74/18.10 skol66 [206, 1] (w:1, o:81, a:1, s:1, b:1),
% 17.74/18.10 skol67 [207, 2] (w:1, o:143, a:1, s:1, b:1),
% 17.74/18.10 skol68 [208, 1] (w:1, o:82, a:1, s:1, b:1),
% 17.74/18.10 skol69 [209, 2] (w:1, o:144, a:1, s:1, b:1),
% 17.74/18.10 skol70 [210, 2] (w:1, o:145, a:1, s:1, b:1),
% 17.74/18.10 skol71 [211, 2] (w:1, o:146, a:1, s:1, b:1),
% 17.74/18.10 skol72 [212, 1] (w:1, o:83, a:1, s:1, b:1),
% 17.74/18.10 skol73 [213, 3] (w:1, o:187, a:1, s:1, b:1),
% 17.74/18.10 skol74 [214, 3] (w:1, o:188, a:1, s:1, b:1),
% 17.74/18.10 skol75 [215, 0] (w:1, o:47, a:1, s:1, b:1),
% 17.74/18.10 skol76 [216, 4] (w:1, o:209, a:1, s:1, b:1),
% 17.74/18.10 skol77 [217, 1] (w:1, o:84, a:1, s:1, b:1),
% 17.74/18.10 skol78 [218, 2] (w:1, o:147, a:1, s:1, b:1),
% 17.74/18.10 skol79 [219, 2] (w:1, o:148, a:1, s:1, b:1),
% 17.74/18.10 skol80 [220, 2] (w:1, o:149, a:1, s:1, b:1),
% 17.74/18.10 skol81 [221, 3] (w:1, o:189, a:1, s:1, b:1),
% 17.74/18.10 skol82 [222, 0] (w:1, o:48, a:1, s:1, b:1),
% 17.74/18.10 skol83 [223, 2] (w:1, o:150, a:1, s:1, b:1),
% 17.74/18.10 skol84 [224, 2] (w:1, o:151, a:1, s:1, b:1),
% 17.74/18.10 skol85 [225, 0] (w:1, o:49, a:1, s:1, b:1),
% 17.74/18.10 skol86 [226, 0] (w:1, o:50, a:1, s:1, b:1).
% 17.74/18.10
% 17.74/18.10
% 17.74/18.10 Starting Search:
% 17.74/18.10
% 17.74/18.10 *** allocated 22500 integers for clauses
% 17.74/18.10 *** allocated 33750 integers for clauses
% 17.74/18.10 *** allocated 22500 integers for termspace/termends
% 17.74/18.10 *** allocated 50625 integers for clauses
% 17.74/18.10 *** allocated 75937 integers for clauses
% 17.74/18.10 *** allocated 33750 integers for termspace/termends
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 *** allocated 113905 integers for clauses
% 17.74/18.10 *** allocated 50625 integers for termspace/termends
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 6479
% 17.74/18.10 Kept: 2007
% 17.74/18.10 Inuse: 91
% 17.74/18.10 Deleted: 0
% 17.74/18.10 Deletedinuse: 0
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 *** allocated 170857 integers for clauses
% 17.74/18.10 *** allocated 75937 integers for termspace/termends
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 *** allocated 256285 integers for clauses
% 17.74/18.10 *** allocated 113905 integers for termspace/termends
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 15635
% 17.74/18.10 Kept: 4312
% 17.74/18.10 Inuse: 154
% 17.74/18.10 Deleted: 2
% 17.74/18.10 Deletedinuse: 0
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 *** allocated 384427 integers for clauses
% 17.74/18.10 *** allocated 170857 integers for termspace/termends
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 30278
% 17.74/18.10 Kept: 6591
% 17.74/18.10 Inuse: 198
% 17.74/18.10 Deleted: 4
% 17.74/18.10 Deletedinuse: 1
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 *** allocated 576640 integers for clauses
% 17.74/18.10 *** allocated 256285 integers for termspace/termends
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 38113
% 17.74/18.10 Kept: 8799
% 17.74/18.10 Inuse: 284
% 17.74/18.10 Deleted: 9
% 17.74/18.10 Deletedinuse: 2
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 *** allocated 384427 integers for termspace/termends
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 77482
% 17.74/18.10 Kept: 11559
% 17.74/18.10 Inuse: 312
% 17.74/18.10 Deleted: 12
% 17.74/18.10 Deletedinuse: 3
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 *** allocated 864960 integers for clauses
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 99965
% 17.74/18.10 Kept: 13590
% 17.74/18.10 Inuse: 368
% 17.74/18.10 Deleted: 15
% 17.74/18.10 Deletedinuse: 3
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 *** allocated 576640 integers for termspace/termends
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 109193
% 17.74/18.10 Kept: 15646
% 17.74/18.10 Inuse: 432
% 17.74/18.10 Deleted: 19
% 17.74/18.10 Deletedinuse: 5
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 118863
% 17.74/18.10 Kept: 17680
% 17.74/18.10 Inuse: 495
% 17.74/18.10 Deleted: 24
% 17.74/18.10 Deletedinuse: 6
% 17.74/18.10
% 17.74/18.10 *** allocated 1297440 integers for clauses
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 129112
% 17.74/18.10 Kept: 19694
% 17.74/18.10 Inuse: 541
% 17.74/18.10 Deleted: 27
% 17.74/18.10 Deletedinuse: 9
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 Resimplifying clauses:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 138124
% 17.74/18.10 Kept: 21822
% 17.74/18.10 Inuse: 622
% 17.74/18.10 Deleted: 676
% 17.74/18.10 Deletedinuse: 14
% 17.74/18.10
% 17.74/18.10 *** allocated 864960 integers for termspace/termends
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 146723
% 17.74/18.10 Kept: 23987
% 17.74/18.10 Inuse: 642
% 17.74/18.10 Deleted: 677
% 17.74/18.10 Deletedinuse: 15
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 158672
% 17.74/18.10 Kept: 26789
% 17.74/18.10 Inuse: 662
% 17.74/18.10 Deleted: 678
% 17.74/18.10 Deletedinuse: 16
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 *** allocated 1946160 integers for clauses
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 173685
% 17.74/18.10 Kept: 29004
% 17.74/18.10 Inuse: 677
% 17.74/18.10 Deleted: 678
% 17.74/18.10 Deletedinuse: 16
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 199523
% 17.74/18.10 Kept: 31283
% 17.74/18.10 Inuse: 692
% 17.74/18.10 Deleted: 678
% 17.74/18.10 Deletedinuse: 16
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 *** allocated 1297440 integers for termspace/termends
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 214703
% 17.74/18.10 Kept: 33286
% 17.74/18.10 Inuse: 724
% 17.74/18.10 Deleted: 683
% 17.74/18.10 Deletedinuse: 21
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 224244
% 17.74/18.10 Kept: 35504
% 17.74/18.10 Inuse: 772
% 17.74/18.10 Deleted: 686
% 17.74/18.10 Deletedinuse: 24
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 231300
% 17.74/18.10 Kept: 37670
% 17.74/18.10 Inuse: 815
% 17.74/18.10 Deleted: 692
% 17.74/18.10 Deletedinuse: 30
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 239667
% 17.74/18.10 Kept: 39947
% 17.74/18.10 Inuse: 847
% 17.74/18.10 Deleted: 698
% 17.74/18.10 Deletedinuse: 36
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 Resimplifying clauses:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 246603
% 17.74/18.10 Kept: 41961
% 17.74/18.10 Inuse: 877
% 17.74/18.10 Deleted: 1335
% 17.74/18.10 Deletedinuse: 43
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 *** allocated 2919240 integers for clauses
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 255640
% 17.74/18.10 Kept: 44397
% 17.74/18.10 Inuse: 902
% 17.74/18.10 Deleted: 1342
% 17.74/18.10 Deletedinuse: 50
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 263054
% 17.74/18.10 Kept: 46460
% 17.74/18.10 Inuse: 921
% 17.74/18.10 Deleted: 1351
% 17.74/18.10 Deletedinuse: 58
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 273163
% 17.74/18.10 Kept: 48714
% 17.74/18.10 Inuse: 936
% 17.74/18.10 Deleted: 1353
% 17.74/18.10 Deletedinuse: 60
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 *** allocated 1946160 integers for termspace/termends
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 280852
% 17.74/18.10 Kept: 50846
% 17.74/18.10 Inuse: 966
% 17.74/18.10 Deleted: 1353
% 17.74/18.10 Deletedinuse: 60
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 289711
% 17.74/18.10 Kept: 52870
% 17.74/18.10 Inuse: 1029
% 17.74/18.10 Deleted: 1354
% 17.74/18.10 Deletedinuse: 61
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10 Resimplifying inuse:
% 17.74/18.10 Done
% 17.74/18.10
% 17.74/18.10
% 17.74/18.10 Intermediate Status:
% 17.74/18.10 Generated: 299588
% 17.74/18.10 Kept: 55104
% 17.74/18.10 Inuse: 1046
% 17.74/18.10 Deleted: 1355
% 17.74/18.10 Deletedinuse: 62
% 17.74/18.10
% 17.74/18.10
% 17.74/18.10 Bliksems!, er is een bewijs:
% 17.74/18.10 % SZS status Theorem
% 17.74/18.10 % SZS output start Refutation
% 17.74/18.10
% 17.74/18.10 (243) {G0,W25,D3,L4,V6,M4} I { X = Z, ! vlookup( X, Y ) ==> vnoType, !
% 17.74/18.10 vtcheck( Y, vabs( Z, T, veabs ), U ), vtcheck( vbind( X, W, Y ), vabs( Z
% 17.74/18.10 , T, veabs ), U ) }.
% 17.74/18.10 (244) {G0,W25,D3,L4,V6,M4} I { ! X = Z, ! vlookup( X, Y ) ==> vnoType, !
% 17.74/18.10 vtcheck( Y, vabs( Z, T, veabs ), U ), vtcheck( vbind( X, W, Y ), vabs( Z
% 17.74/18.10 , T, veabs ), U ) }.
% 17.74/18.10 (245) {G0,W5,D3,L1,V0,M1} I { vlookup( skol38, skol57 ) ==> vnoType }.
% 17.74/18.10 (246) {G0,W7,D3,L1,V0,M1} I { vtcheck( skol57, vabs( skol75, skol82, veabs
% 17.74/18.10 ), skol85 ) }.
% 17.74/18.10 (247) {G0,W10,D3,L1,V0,M1} I { ! vtcheck( vbind( skol38, skol86, skol57 ),
% 17.74/18.10 vabs( skol75, skol82, veabs ), skol85 ) }.
% 17.74/18.10 (54856) {G1,W3,D2,L1,V0,M1} R(247,244);d(245);q;r(246) { ! skol75 ==>
% 17.74/18.10 skol38 }.
% 17.74/18.10 (54857) {G1,W3,D2,L1,V0,M1} R(247,243);d(245);q;r(246) { skol75 ==> skol38
% 17.74/18.10 }.
% 17.74/18.10 (55104) {G2,W0,D0,L0,V0,M0} S(54856);d(54857);q { }.
% 17.74/18.10
% 17.74/18.10
% 17.74/18.10 % SZS output end Refutation
% 17.74/18.10 found a proof!
% 17.74/18.10
% 17.74/18.10
% 17.74/18.10 Unprocessed initial clauses:
% 17.74/18.10
% 17.74/18.10 (55106) {G0,W8,D3,L2,V2,M2} { ! vvar( X ) = vvar( Y ), X = Y }.
% 17.74/18.10 (55107) {G0,W8,D3,L2,V2,M2} { ! X = Y, vvar( X ) = vvar( Y ) }.
% 17.74/18.10 (55108) {G0,W12,D3,L2,V6,M2} { ! vabs( X, Y, Z ) = vabs( T, U, W ), X = T
% 17.74/18.10 }.
% 17.74/18.10 (55109) {G0,W12,D3,L2,V6,M2} { ! vabs( X, Y, Z ) = vabs( T, U, W ), Y = U
% 17.74/18.10 }.
% 17.74/18.10 (55110) {G0,W12,D3,L2,V6,M2} { ! vabs( X, Y, Z ) = vabs( T, U, W ), Z = W
% 17.74/18.10 }.
% 17.74/18.10 (55111) {G0,W18,D3,L4,V6,M4} { ! X = T, ! Y = U, ! Z = W, vabs( X, Y, Z )
% 17.74/18.10 = vabs( T, U, W ) }.
% 17.74/18.10 (55112) {G0,W10,D3,L2,V4,M2} { ! vapp( X, Y ) = vapp( Z, T ), X = Z }.
% 17.74/18.10 (55113) {G0,W10,D3,L2,V4,M2} { ! vapp( X, Y ) = vapp( Z, T ), Y = T }.
% 17.74/18.10 (55114) {G0,W13,D3,L3,V4,M3} { ! X = Z, ! Y = T, vapp( X, Y ) = vapp( Z, T
% 17.74/18.10 ) }.
% 17.74/18.10 (55115) {G0,W7,D3,L1,V4,M1} { ! vvar( X ) = vabs( Y, Z, T ) }.
% 17.74/18.10 (55116) {G0,W6,D3,L1,V3,M1} { ! vvar( X ) = vapp( Y, Z ) }.
% 17.74/18.10 (55117) {G0,W8,D3,L1,V5,M1} { ! vabs( X, Y, Z ) = vapp( T, U ) }.
% 17.74/18.10 (55118) {G0,W8,D3,L2,V4,M2} { ! X = vabs( Y, Z, T ), visValue( X ) }.
% 17.74/18.10 (55119) {G0,W6,D3,L2,V2,M2} { ! X = vvar( Y ), ! visValue( X ) }.
% 17.74/18.10 (55120) {G0,W7,D3,L2,V3,M2} { ! X = vapp( Y, Z ), ! visValue( X ) }.
% 17.74/18.10 (55121) {G0,W13,D3,L4,V4,M4} { ! X = T, ! Y = vvar( Z ), ! Z = T,
% 17.74/18.10 visFreeVar( X, Y ) }.
% 17.74/18.10 (55122) {G0,W13,D3,L4,V4,M4} { ! X = T, ! Y = vvar( Z ), ! visFreeVar( X,
% 17.74/18.10 Y ), Z = T }.
% 17.74/18.10 (55123) {G0,W18,D3,L5,V6,M5} { ! X = T, ! Y = vabs( Z, W, U ), Z = T, !
% 17.74/18.10 visFreeVar( T, U ), visFreeVar( X, Y ) }.
% 17.74/18.10 (55124) {G0,W15,D3,L4,V6,M4} { ! X = T, ! Y = vabs( Z, W, U ), !
% 17.74/18.10 visFreeVar( X, Y ), ! Z = T }.
% 17.74/18.10 (55125) {G0,W15,D3,L4,V6,M4} { ! X = T, ! Y = vabs( Z, W, U ), !
% 17.74/18.10 visFreeVar( X, Y ), visFreeVar( T, U ) }.
% 17.74/18.10 (55126) {G0,W14,D3,L4,V5,M4} { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar(
% 17.74/18.10 T, Z ), visFreeVar( X, Y ) }.
% 17.74/18.10 (55127) {G0,W14,D3,L4,V5,M4} { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar(
% 17.74/18.10 T, U ), visFreeVar( X, Y ) }.
% 17.74/18.10 (55128) {G0,W17,D3,L5,V5,M5} { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar(
% 17.74/18.10 X, Y ), visFreeVar( T, Z ), visFreeVar( T, U ) }.
% 17.74/18.10 (55129) {G0,W4,D2,L2,V0,M2} { ! &&, vempty = vempty }.
% 17.74/18.10 (55130) {G0,W12,D3,L2,V6,M2} { ! vbind( X, Y, Z ) = vbind( T, U, W ), X =
% 17.74/18.10 T }.
% 17.74/18.10 (55131) {G0,W12,D3,L2,V6,M2} { ! vbind( X, Y, Z ) = vbind( T, U, W ), Y =
% 17.74/18.10 U }.
% 17.74/18.10 (55132) {G0,W12,D3,L2,V6,M2} { ! vbind( X, Y, Z ) = vbind( T, U, W ), Z =
% 17.74/18.10 W }.
% 17.74/18.10 (55133) {G0,W18,D3,L4,V6,M4} { ! X = T, ! Y = U, ! Z = W, vbind( X, Y, Z )
% 17.74/18.10 = vbind( T, U, W ) }.
% 17.74/18.10 (55134) {G0,W4,D2,L2,V0,M2} { ! &&, vnoType = vnoType }.
% 17.74/18.10 (55135) {G0,W8,D3,L2,V2,M2} { ! vsomeType( X ) = vsomeType( Y ), X = Y }.
% 17.74/18.10 (55136) {G0,W8,D3,L2,V2,M2} { ! X = Y, vsomeType( X ) = vsomeType( Y ) }.
% 17.74/18.10 (55137) {G0,W6,D3,L1,V3,M1} { ! vempty = vbind( X, Y, Z ) }.
% 17.74/18.10 (55138) {G0,W4,D3,L1,V1,M1} { ! vnoType = vsomeType( X ) }.
% 17.74/18.10 (55139) {G0,W5,D2,L2,V1,M2} { ! X = vnoType, ! visSomeType( X ) }.
% 17.74/18.10 (55140) {G0,W6,D3,L2,V2,M2} { ! X = vsomeType( Y ), visSomeType( X ) }.
% 17.74/18.10 (55141) {G0,W11,D3,L3,V3,M3} { ! X = vsomeType( Y ), ! Z = vgetSomeType( X
% 17.74/18.10 ), Z = Y }.
% 17.74/18.10 (55142) {G0,W14,D3,L4,V4,M4} { ! X = Z, ! Y = vempty, ! T = vlookup( X, Y
% 17.74/18.10 ), T = vnoType }.
% 17.74/18.10 (55143) {G0,W21,D3,L5,V7,M5} { ! Z = X, ! T = vbind( Y, U, W ), ! X = Y, !
% 17.74/18.10 V0 = vlookup( Z, T ), V0 = vsomeType( U ) }.
% 17.74/18.10 (55144) {G0,W22,D3,L5,V7,M5} { ! Y = T, ! Z = vbind( X, W, U ), T = X, !
% 17.74/18.10 V0 = vlookup( Y, Z ), V0 = vlookup( T, U ) }.
% 17.74/18.10 (55145) {G0,W10,D3,L2,V5,M2} { alpha5( X, Y, Z ), X = skol1( X, T, U ) }.
% 17.74/18.10 (55146) {G0,W11,D3,L2,V3,M2} { alpha5( X, Y, Z ), alpha10( Y, Z, skol1( X
% 17.74/18.10 , Y, Z ) ) }.
% 17.74/18.10 (55147) {G0,W12,D4,L2,V4,M2} { ! alpha10( X, Y, Z ), Y = vlookup( Z,
% 17.74/18.10 skol39( T, Y, Z ) ) }.
% 17.74/18.10 (55148) {G0,W10,D3,L2,V3,M2} { ! alpha10( X, Y, Z ), ! Z = skol2( X, Y, Z
% 17.74/18.10 ) }.
% 17.74/18.10 (55149) {G0,W19,D4,L2,V3,M2} { ! alpha10( X, Y, Z ), X = vbind( skol2( X,
% 17.74/18.10 Y, Z ), skol58( X, Y, Z ), skol39( X, Y, Z ) ) }.
% 17.74/18.10 (55150) {G0,W18,D3,L4,V6,M4} { ! X = vbind( T, W, U ), Z = T, ! Y =
% 17.74/18.10 vlookup( Z, U ), alpha10( X, Y, Z ) }.
% 17.74/18.10 (55151) {G0,W12,D2,L3,V3,M3} { ! alpha5( X, Y, Z ), alpha11( X, Y, Z ),
% 17.74/18.10 alpha17( X, Y, Z ) }.
% 17.74/18.10 (55152) {G0,W8,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha5( X, Y, Z ) }.
% 17.74/18.10 (55153) {G0,W8,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha5( X, Y, Z ) }.
% 17.74/18.10 (55154) {G0,W10,D3,L2,V5,M2} { ! alpha17( X, Y, Z ), X = skol3( X, T, U )
% 17.74/18.10 }.
% 17.74/18.10 (55155) {G0,W11,D3,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha22( Y, Z, skol3
% 17.74/18.10 ( X, Y, Z ) ) }.
% 17.74/18.10 (55156) {G0,W11,D2,L3,V4,M3} { ! X = T, ! alpha22( Y, Z, T ), alpha17( X,
% 17.74/18.10 Y, Z ) }.
% 17.74/18.10 (55157) {G0,W11,D4,L2,V5,M2} { ! alpha22( X, Y, Z ), Y = vsomeType( skol40
% 17.74/18.10 ( T, Y, U ) ) }.
% 17.74/18.10 (55158) {G0,W10,D3,L2,V3,M2} { ! alpha22( X, Y, Z ), Z = skol4( X, Y, Z )
% 17.74/18.10 }.
% 17.74/18.10 (55159) {G0,W19,D4,L2,V3,M2} { ! alpha22( X, Y, Z ), X = vbind( skol4( X,
% 17.74/18.10 Y, Z ), skol40( X, Y, Z ), skol59( X, Y, Z ) ) }.
% 17.74/18.10 (55160) {G0,W17,D3,L4,V6,M4} { ! X = vbind( T, U, W ), ! Z = T, ! Y =
% 17.74/18.10 vsomeType( U ), alpha22( X, Y, Z ) }.
% 17.74/18.10 (55161) {G0,W12,D3,L3,V3,M3} { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z
% 17.74/18.10 , alpha1( X, Y ) }.
% 17.74/18.10 (55162) {G0,W12,D3,L3,V3,M3} { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z
% 17.74/18.10 , Z = vnoType }.
% 17.74/18.10 (55163) {G0,W9,D3,L2,V3,M2} { vlookup( X, Y ) = Z, alpha11( X, Y, Z ) }.
% 17.74/18.10 (55164) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y ), ! Z = vnoType, alpha11( X
% 17.74/18.10 , Y, Z ) }.
% 17.74/18.10 (55165) {G0,W7,D3,L2,V2,M2} { ! alpha1( X, Y ), X = skol5( X ) }.
% 17.74/18.10 (55166) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), Y = vempty }.
% 17.74/18.10 (55167) {G0,W9,D2,L3,V3,M3} { ! X = Z, ! Y = vempty, alpha1( X, Y ) }.
% 17.74/18.10 (55168) {G0,W20,D4,L3,V7,M3} { ! X = W, ! vtcheck( vbind( X, Y, vbind( W,
% 17.74/18.10 V0, Z ) ), T, U ), vtcheck( vbind( X, Y, Z ), T, U ) }.
% 17.74/18.10 (55169) {G0,W23,D4,L3,V7,M3} { Z = X, ! vtcheck( vbind( Z, T, vbind( X, Y
% 17.74/18.10 , U ) ), W, V0 ), vtcheck( vbind( X, Y, vbind( Z, T, U ) ), W, V0 ) }.
% 17.74/18.10 (55170) {G0,W7,D3,L2,V2,M2} { ! vgensym( Y ) = X, ! visFreeVar( X, Y ) }.
% 17.74/18.10 (55171) {G0,W22,D3,L6,V7,M6} { ! Z = X, ! T = W, ! U = vvar( Y ), ! X = Y
% 17.74/18.10 , ! V0 = vsubst( Z, T, U ), V0 = W }.
% 17.74/18.10 (55172) {G0,W23,D3,L6,V7,M6} { ! Y = X, ! Z = W, ! T = vvar( U ), X = U, !
% 17.74/18.10 V0 = vsubst( Y, Z, T ), V0 = vvar( U ) }.
% 17.74/18.10 (55173) {G0,W28,D4,L5,V8,M5} { ! X = U, ! Y = W, ! Z = vapp( T, V0 ), ! V1
% 17.74/18.10 = vsubst( X, Y, Z ), V1 = vapp( vsubst( U, W, T ), vsubst( U, W, V0 ) )
% 17.74/18.10 }.
% 17.74/18.10 (55174) {G0,W27,D3,L6,V9,M6} { ! Y = X, ! Z = V1, ! T = vabs( U, W, V0 ),
% 17.74/18.10 ! X = U, ! V2 = vsubst( Y, Z, T ), V2 = vabs( U, W, V0 ) }.
% 17.74/18.10 (55175) {G0,W46,D6,L8,V10,M8} { ! X = T, ! Y = U, ! Z = vabs( V0, W, V1 )
% 17.74/18.10 , T = V0, ! visFreeVar( V0, U ), ! V2 = vgensym( vapp( vapp( U, V1 ),
% 17.74/18.10 vvar( T ) ) ), ! V3 = vsubst( X, Y, Z ), V3 = vsubst( T, U, vabs( V2, W,
% 17.74/18.10 vsubst( V0, vvar( V2 ), V1 ) ) ) }.
% 17.74/18.10 (55176) {G0,W33,D4,L7,V9,M7} { ! X = W, ! Y = V0, ! Z = vabs( T, U, V1 ),
% 17.74/18.10 W = T, visFreeVar( T, V0 ), ! V2 = vsubst( X, Y, Z ), V2 = vabs( T, U,
% 17.74/18.10 vsubst( W, V0, V1 ) ) }.
% 17.74/18.10 (55177) {G0,W12,D3,L2,V7,M2} { alpha28( X, Y, Z, T ), X = skol6( X, U, W,
% 17.74/18.10 V0 ) }.
% 17.74/18.10 (55178) {G0,W14,D3,L2,V4,M2} { alpha28( X, Y, Z, T ), alpha33( Y, Z, T,
% 17.74/18.10 skol6( X, Y, Z, T ) ) }.
% 17.74/18.10 (55179) {G0,W12,D3,L2,V7,M2} { ! alpha33( X, Y, Z, T ), X = skol7( X, U, W
% 17.74/18.10 , V0 ) }.
% 17.74/18.10 (55180) {G0,W14,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T ), alpha36( Y, Z, T,
% 17.74/18.10 skol7( X, Y, Z, T ) ) }.
% 17.74/18.10 (55181) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha36( Y, Z, T, U ), alpha33(
% 17.74/18.10 X, Y, Z, T ) }.
% 17.74/18.10 (55182) {G0,W23,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T ), alpha39( X, Z,
% 17.74/18.10 skol8( X, Y, Z, T ), skol41( X, Y, Z, T ), skol60( X, Y, Z, T ) ) }.
% 17.74/18.10 (55183) {G0,W12,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T ), ! visFreeVar(
% 17.74/18.10 skol8( X, Y, Z, T ), T ) }.
% 17.74/18.10 (55184) {G0,W26,D5,L2,V4,M2} { ! alpha36( X, Y, Z, T ), Y = vabs( skol8( X
% 17.74/18.10 , Y, Z, T ), skol41( X, Y, Z, T ), vsubst( Z, T, skol60( X, Y, Z, T ) ) )
% 17.74/18.10 }.
% 17.74/18.10 (55185) {G0,W23,D4,L4,V7,M4} { ! alpha39( X, Z, U, W, V0 ), visFreeVar( U
% 17.74/18.10 , T ), ! Y = vabs( U, W, vsubst( Z, T, V0 ) ), alpha36( X, Y, Z, T ) }.
% 17.74/18.10 (55186) {G0,W12,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U ), X = vabs( Z, T
% 17.74/18.10 , U ) }.
% 17.74/18.10 (55187) {G0,W9,D2,L2,V5,M2} { ! alpha39( X, Y, Z, T, U ), ! Y = Z }.
% 17.74/18.10 (55188) {G0,W15,D3,L3,V5,M3} { ! X = vabs( Z, T, U ), Y = Z, alpha39( X, Y
% 17.74/18.10 , Z, T, U ) }.
% 17.74/18.10 (55189) {G0,W15,D2,L3,V4,M3} { ! alpha28( X, Y, Z, T ), alpha34( X, Y, Z,
% 17.74/18.10 T ), alpha37( X, Y, Z, T ) }.
% 17.74/18.10 (55190) {G0,W10,D2,L2,V4,M2} { ! alpha34( X, Y, Z, T ), alpha28( X, Y, Z,
% 17.74/18.10 T ) }.
% 17.74/18.10 (55191) {G0,W10,D2,L2,V4,M2} { ! alpha37( X, Y, Z, T ), alpha28( X, Y, Z,
% 17.74/18.10 T ) }.
% 17.74/18.10 (55192) {G0,W12,D3,L2,V7,M2} { ! alpha37( X, Y, Z, T ), X = skol9( X, U, W
% 17.74/18.10 , V0 ) }.
% 17.74/18.10 (55193) {G0,W14,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T ), alpha40( Y, Z, T,
% 17.74/18.10 skol9( X, Y, Z, T ) ) }.
% 17.74/18.10 (55194) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha40( Y, Z, T, U ), alpha37(
% 17.74/18.10 X, Y, Z, T ) }.
% 17.74/18.10 (55195) {G0,W12,D3,L2,V7,M2} { ! alpha40( X, Y, Z, T ), X = skol10( X, U,
% 17.74/18.10 W, V0 ) }.
% 17.74/18.10 (55196) {G0,W14,D3,L2,V4,M2} { ! alpha40( X, Y, Z, T ), alpha42( Y, Z, T,
% 17.74/18.10 skol10( X, Y, Z, T ) ) }.
% 17.74/18.10 (55197) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha42( Y, Z, T, U ), alpha40(
% 17.74/18.10 X, Y, Z, T ) }.
% 17.74/18.10 (55198) {G0,W24,D3,L2,V4,M2} { ! alpha42( X, Y, Z, T ), alpha48( X, Z, T,
% 17.74/18.10 skol11( X, Y, Z, T ), skol42( X, Y, Z, T ), skol61( X, Y, Z, T ) ) }.
% 17.74/18.10 (55199) {G0,W22,D6,L2,V4,M2} { ! alpha42( X, Y, Z, T ), skol76( X, Y, Z, T
% 17.74/18.10 ) = vgensym( vapp( vapp( T, skol61( X, Y, Z, T ) ), vvar( Z ) ) ) }.
% 17.74/18.10 (55200) {G0,W38,D7,L2,V4,M2} { ! alpha42( X, Y, Z, T ), Y = vsubst( Z, T,
% 17.74/18.10 vabs( skol76( X, Y, Z, T ), skol11( X, Y, Z, T ), vsubst( skol42( X, Y, Z
% 17.74/18.10 , T ), vvar( skol76( X, Y, Z, T ) ), skol61( X, Y, Z, T ) ) ) ) }.
% 17.74/18.10 (55201) {G0,W34,D6,L4,V8,M4} { ! alpha48( X, Z, T, U, W, V0 ), ! V1 =
% 17.74/18.10 vgensym( vapp( vapp( T, V0 ), vvar( Z ) ) ), ! Y = vsubst( Z, T, vabs( V1
% 17.74/18.10 , U, vsubst( W, vvar( V1 ), V0 ) ) ), alpha42( X, Y, Z, T ) }.
% 17.74/18.10 (55202) {G0,W13,D2,L2,V6,M2} { ! alpha48( X, Y, Z, T, U, W ), alpha45( X,
% 17.74/18.10 Y, T, U, W ) }.
% 17.74/18.10 (55203) {G0,W10,D2,L2,V6,M2} { ! alpha48( X, Y, Z, T, U, W ), visFreeVar(
% 17.74/18.10 U, Z ) }.
% 17.74/18.10 (55204) {G0,W16,D2,L3,V6,M3} { ! alpha45( X, Y, T, U, W ), ! visFreeVar( U
% 17.74/18.10 , Z ), alpha48( X, Y, Z, T, U, W ) }.
% 17.74/18.10 (55205) {G0,W12,D3,L2,V5,M2} { ! alpha45( X, Y, Z, T, U ), X = vabs( T, Z
% 17.74/18.10 , U ) }.
% 17.74/18.10 (55206) {G0,W9,D2,L2,V5,M2} { ! alpha45( X, Y, Z, T, U ), ! Y = T }.
% 17.74/18.10 (55207) {G0,W15,D3,L3,V5,M3} { ! X = vabs( T, Z, U ), Y = T, alpha45( X, Y
% 17.74/18.10 , Z, T, U ) }.
% 17.74/18.10 (55208) {G0,W18,D3,L3,V6,M3} { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z,
% 17.74/18.10 T ), alpha23( Z, T, skol12( U, W, Z, T ) ) }.
% 17.74/18.10 (55209) {G0,W18,D3,L3,V4,M3} { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z,
% 17.74/18.10 T ), alpha18( X, Y, skol12( X, Y, Z, T ) ) }.
% 17.74/18.10 (55210) {G0,W10,D2,L2,V4,M2} { ! alpha38( X, Y, Z, T ), alpha34( X, Y, Z,
% 17.74/18.10 T ) }.
% 17.74/18.10 (55211) {G0,W13,D2,L3,V5,M3} { ! alpha18( X, Y, U ), ! alpha23( Z, T, U )
% 17.74/18.10 , alpha34( X, Y, Z, T ) }.
% 17.74/18.10 (55212) {G0,W15,D2,L3,V4,M3} { ! alpha38( X, Y, Z, T ), alpha41( X, Y, Z,
% 17.74/18.10 T ), alpha43( X, Y, Z, T ) }.
% 17.74/18.10 (55213) {G0,W10,D2,L2,V4,M2} { ! alpha41( X, Y, Z, T ), alpha38( X, Y, Z,
% 17.74/18.10 T ) }.
% 17.74/18.10 (55214) {G0,W10,D2,L2,V4,M2} { ! alpha43( X, Y, Z, T ), alpha38( X, Y, Z,
% 17.74/18.10 T ) }.
% 17.74/18.10 (55215) {G0,W12,D3,L2,V7,M2} { ! alpha43( X, Y, Z, T ), X = skol13( X, U,
% 17.74/18.10 W, V0 ) }.
% 17.74/18.10 (55216) {G0,W14,D3,L2,V4,M2} { ! alpha43( X, Y, Z, T ), alpha46( Y, Z, T,
% 17.74/18.10 skol13( X, Y, Z, T ) ) }.
% 17.74/18.10 (55217) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha46( Y, Z, T, U ), alpha43(
% 17.74/18.10 X, Y, Z, T ) }.
% 17.74/18.10 (55218) {G0,W12,D3,L2,V7,M2} { ! alpha46( X, Y, Z, T ), X = skol14( X, U,
% 17.74/18.10 W, V0 ) }.
% 17.74/18.10 (55219) {G0,W18,D4,L2,V4,M2} { ! alpha46( X, Y, Z, T ), Y = vapp( skol43(
% 17.74/18.10 X, Y, Z, T ), skol62( X, Y, Z, T ) ) }.
% 17.74/18.10 (55220) {G0,W32,D5,L2,V4,M2} { ! alpha46( X, Y, Z, T ), Z = vapp( vsubst(
% 17.74/18.10 T, skol14( X, Y, Z, T ), skol43( X, Y, Z, T ) ), vsubst( T, skol14( X, Y
% 17.74/18.10 , Z, T ), skol62( X, Y, Z, T ) ) ) }.
% 17.74/18.10 (55221) {G0,W24,D4,L4,V7,M4} { ! X = U, ! Y = vapp( W, V0 ), ! Z = vapp(
% 17.74/18.10 vsubst( T, U, W ), vsubst( T, U, V0 ) ), alpha46( X, Y, Z, T ) }.
% 17.74/18.10 (55222) {G0,W18,D3,L3,V6,M3} { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z,
% 17.74/18.10 T ), alpha12( Z, T, skol15( U, W, Z, T ) ) }.
% 17.74/18.10 (55223) {G0,W18,D3,L3,V4,M3} { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z,
% 17.74/18.10 T ), alpha6( X, Y, skol15( X, Y, Z, T ) ) }.
% 17.74/18.10 (55224) {G0,W10,D2,L2,V4,M2} { ! alpha44( X, Y, Z, T ), alpha41( X, Y, Z,
% 17.74/18.10 T ) }.
% 17.74/18.10 (55225) {G0,W13,D2,L3,V5,M3} { ! alpha6( X, Y, U ), ! alpha12( Z, T, U ),
% 17.74/18.10 alpha41( X, Y, Z, T ) }.
% 17.74/18.10 (55226) {G0,W16,D3,L3,V4,M3} { ! alpha44( X, Y, Z, T ), ! vsubst( X, Y, Z
% 17.74/18.10 ) = T, alpha47( X, Y, Z, T ) }.
% 17.74/18.10 (55227) {G0,W11,D3,L2,V4,M2} { vsubst( X, Y, Z ) = T, alpha44( X, Y, Z, T
% 17.74/18.10 ) }.
% 17.74/18.10 (55228) {G0,W10,D2,L2,V4,M2} { ! alpha47( X, Y, Z, T ), alpha44( X, Y, Z,
% 17.74/18.10 T ) }.
% 17.74/18.10 (55229) {G0,W12,D3,L2,V7,M2} { ! alpha47( X, Y, Z, T ), X = skol16( X, U,
% 17.74/18.10 W, V0 ) }.
% 17.74/18.10 (55230) {G0,W14,D3,L2,V4,M2} { ! alpha47( X, Y, Z, T ), alpha49( Y, Z, T,
% 17.74/18.10 skol16( X, Y, Z, T ) ) }.
% 17.74/18.10 (55231) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha49( Y, Z, T, U ), alpha47(
% 17.74/18.10 X, Y, Z, T ) }.
% 17.74/18.10 (55232) {G0,W12,D3,L2,V7,M2} { ! alpha49( X, Y, Z, T ), X = skol17( X, U,
% 17.74/18.10 W, V0 ) }.
% 17.74/18.10 (55233) {G0,W13,D3,L2,V6,M2} { ! alpha49( X, Y, Z, T ), alpha2( Y, T,
% 17.74/18.10 skol44( U, Y, W, T ) ) }.
% 17.74/18.10 (55234) {G0,W12,D3,L2,V4,M2} { ! alpha49( X, Y, Z, T ), Z = skol17( X, Y,
% 17.74/18.10 Z, T ) }.
% 17.74/18.10 (55235) {G0,W15,D2,L4,V6,M4} { ! X = U, ! alpha2( Y, T, W ), ! Z = U,
% 17.74/18.10 alpha49( X, Y, Z, T ) }.
% 17.74/18.10 (55236) {G0,W19,D4,L2,V3,M2} { ! alpha23( X, Y, Z ), X = vabs( skol18( X,
% 17.74/18.10 Y, Z ), skol45( X, Y, Z ), skol63( X, Y, Z ) ) }.
% 17.74/18.10 (55237) {G0,W10,D3,L2,V3,M2} { ! alpha23( X, Y, Z ), Z = skol18( X, Y, Z )
% 17.74/18.10 }.
% 17.74/18.10 (55238) {G0,W19,D4,L2,V3,M2} { ! alpha23( X, Y, Z ), Y = vabs( skol18( X,
% 17.74/18.10 Y, Z ), skol45( X, Y, Z ), skol63( X, Y, Z ) ) }.
% 17.74/18.10 (55239) {G0,W19,D3,L4,V6,M4} { ! X = vabs( T, U, W ), ! Z = T, ! Y = vabs
% 17.74/18.10 ( T, U, W ), alpha23( X, Y, Z ) }.
% 17.74/18.10 (55240) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), X = Z }.
% 17.74/18.10 (55241) {G0,W8,D3,L2,V3,M2} { ! alpha18( X, Y, Z ), Y = skol19( Y ) }.
% 17.74/18.10 (55242) {G0,W10,D2,L3,V4,M3} { ! X = Z, ! Y = T, alpha18( X, Y, Z ) }.
% 17.74/18.10 (55243) {G0,W10,D3,L2,V5,M2} { ! alpha12( X, Y, Z ), ! Z = skol20( T, U, Z
% 17.74/18.10 ) }.
% 17.74/18.10 (55244) {G0,W11,D4,L2,V4,M2} { ! alpha12( X, Y, Z ), Y = vvar( skol20( T,
% 17.74/18.10 Y, Z ) ) }.
% 17.74/18.10 (55245) {G0,W11,D4,L2,V3,M2} { ! alpha12( X, Y, Z ), X = vvar( skol20( X,
% 17.74/18.10 Y, Z ) ) }.
% 17.74/18.10 (55246) {G0,W15,D3,L4,V4,M4} { ! X = vvar( T ), Z = T, ! Y = vvar( T ),
% 17.74/18.10 alpha12( X, Y, Z ) }.
% 17.74/18.10 (55247) {G0,W7,D2,L2,V3,M2} { ! alpha6( X, Y, Z ), X = Z }.
% 17.74/18.10 (55248) {G0,W8,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), Y = skol21( Y ) }.
% 17.74/18.10 (55249) {G0,W10,D2,L3,V4,M3} { ! X = Z, ! Y = T, alpha6( X, Y, Z ) }.
% 17.74/18.10 (55250) {G0,W8,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), X = vvar( Z ) }.
% 17.74/18.10 (55251) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), Y = Z }.
% 17.74/18.10 (55252) {G0,W11,D3,L3,V3,M3} { ! X = vvar( Z ), ! Y = Z, alpha2( X, Y, Z )
% 17.74/18.10 }.
% 17.74/18.10 (55253) {G0,W4,D2,L2,V0,M2} { ! &&, vnoExp = vnoExp }.
% 17.74/18.10 (55254) {G0,W8,D3,L2,V2,M2} { ! vsomeExp( X ) = vsomeExp( Y ), X = Y }.
% 17.74/18.10 (55255) {G0,W8,D3,L2,V2,M2} { ! X = Y, vsomeExp( X ) = vsomeExp( Y ) }.
% 17.74/18.10 (55256) {G0,W4,D3,L1,V1,M1} { ! vnoExp = vsomeExp( X ) }.
% 17.74/18.10 (55257) {G0,W5,D2,L2,V1,M2} { ! X = vnoExp, ! visSomeExp( X ) }.
% 17.74/18.10 (55258) {G0,W6,D3,L2,V2,M2} { ! X = vsomeExp( Y ), visSomeExp( X ) }.
% 17.74/18.10 (55259) {G0,W11,D3,L3,V3,M3} { ! X = vsomeExp( Y ), ! Z = vgetSomeExp( X )
% 17.74/18.10 , Z = Y }.
% 17.74/18.10 (55260) {G0,W11,D3,L3,V3,M3} { ! X = vvar( Y ), ! Z = vreduce( X ), Z =
% 17.74/18.10 vnoExp }.
% 17.74/18.10 (55261) {G0,W13,D3,L3,V5,M3} { ! X = vabs( Y, Z, T ), ! U = vreduce( X ),
% 17.74/18.10 U = vnoExp }.
% 17.74/18.10 (55262) {G0,W28,D5,L5,V7,M5} { ! Y = vapp( vabs( Z, T, U ), X ), ! W =
% 17.74/18.10 vreduce( X ), ! visSomeExp( W ), ! V0 = vreduce( Y ), V0 = vsomeExp( vapp
% 17.74/18.10 ( vabs( Z, T, U ), vgetSomeExp( W ) ) ) }.
% 17.74/18.10 (55263) {G0,W27,D4,L6,V7,M6} { ! X = vapp( vabs( Y, U, T ), Z ), ! W =
% 17.74/18.10 vreduce( Z ), visSomeExp( W ), ! visValue( Z ), ! V0 = vreduce( X ), V0 =
% 17.74/18.10 vsomeExp( vsubst( Y, Z, T ) ) }.
% 17.74/18.10 (55264) {G0,W23,D4,L6,V7,M6} { ! Y = vapp( vabs( Z, T, U ), X ), ! W =
% 17.74/18.10 vreduce( X ), visSomeExp( W ), visValue( X ), ! V0 = vreduce( Y ), V0 =
% 17.74/18.10 vnoExp }.
% 17.74/18.10 (55265) {G0,W31,D5,L6,V5,M6} { ! Y = vapp( X, Z ), X = vabs( skol22( X ),
% 17.74/18.10 skol46( X ), skol64( X ) ), ! T = vreduce( X ), ! visSomeExp( T ), ! U =
% 17.74/18.10 vreduce( Y ), U = vsomeExp( vapp( vgetSomeExp( T ), Z ) ) }.
% 17.74/18.10 (55266) {G0,W27,D4,L6,V5,M6} { ! Y = vapp( X, Z ), X = vabs( skol23( X ),
% 17.74/18.10 skol47( X ), skol65( X ) ), ! T = vreduce( X ), visSomeExp( T ), ! U =
% 17.74/18.10 vreduce( Y ), U = vnoExp }.
% 17.74/18.10 (55267) {G0,W8,D3,L2,V3,M2} { alpha3( X, Y ), alpha13( Y, skol24( Z, Y ) )
% 17.74/18.10 }.
% 17.74/18.10 (55268) {G0,W8,D3,L2,V2,M2} { alpha3( X, Y ), alpha7( X, skol24( X, Y ) )
% 17.74/18.10 }.
% 17.74/18.10 (55269) {G0,W7,D3,L2,V4,M2} { ! alpha13( X, Y ), ! visSomeExp( skol25( Z,
% 17.74/18.10 T ) ) }.
% 17.74/18.10 (55270) {G0,W9,D3,L2,V3,M2} { ! alpha13( X, Y ), skol25( Z, Y ) = vreduce
% 17.74/18.10 ( Y ) }.
% 17.74/18.10 (55271) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), X = vnoExp }.
% 17.74/18.10 (55272) {G0,W12,D3,L4,V3,M4} { ! Z = vreduce( Y ), visSomeExp( Z ), ! X =
% 17.74/18.10 vnoExp, alpha13( X, Y ) }.
% 17.74/18.10 (55273) {G0,W10,D4,L2,V2,M2} { ! alpha7( X, Y ), X = vapp( Y, skol26( X, Y
% 17.74/18.10 ) ) }.
% 17.74/18.10 (55274) {G0,W9,D3,L2,V5,M2} { ! alpha7( X, Y ), ! Y = vabs( Z, T, U ) }.
% 17.74/18.10 (55275) {G0,W17,D4,L3,V3,M3} { ! X = vapp( Y, Z ), Y = vabs( skol48( Y ),
% 17.74/18.10 skol66( Y ), skol77( Y ) ), alpha7( X, Y ) }.
% 17.74/18.10 (55276) {G0,W9,D2,L3,V2,M3} { ! alpha3( X, Y ), alpha8( X, Y ), alpha14( X
% 17.74/18.10 , Y ) }.
% 17.74/18.10 (55277) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ), alpha3( X, Y ) }.
% 17.74/18.10 (55278) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), alpha3( X, Y ) }.
% 17.74/18.10 (55279) {G0,W11,D3,L2,V2,M2} { ! alpha14( X, Y ), alpha24( X, skol27( X, Y
% 17.74/18.10 ), skol49( X, Y ) ) }.
% 17.74/18.10 (55280) {G0,W10,D3,L2,V2,M2} { ! alpha14( X, Y ), alpha19( skol27( X, Y )
% 17.74/18.10 , skol67( X, Y ) ) }.
% 17.74/18.10 (55281) {G0,W14,D6,L2,V2,M2} { ! alpha14( X, Y ), Y = vsomeExp( vapp(
% 17.74/18.10 vgetSomeExp( skol67( X, Y ) ), skol49( X, Y ) ) ) }.
% 17.74/18.10 (55282) {G0,W17,D5,L4,V5,M4} { ! alpha24( X, Z, T ), ! alpha19( Z, U ), !
% 17.74/18.10 Y = vsomeExp( vapp( vgetSomeExp( U ), T ) ), alpha14( X, Y ) }.
% 17.74/18.10 (55283) {G0,W9,D3,L2,V3,M2} { ! alpha24( X, Y, Z ), X = vapp( Y, Z ) }.
% 17.74/18.10 (55284) {G0,W10,D3,L2,V6,M2} { ! alpha24( X, Y, Z ), ! Y = vabs( T, U, W )
% 17.74/18.10 }.
% 17.74/18.10 (55285) {G0,W18,D4,L3,V3,M3} { ! X = vapp( Y, Z ), Y = vabs( skol28( Y ),
% 17.74/18.10 skol50( Y ), skol68( Y ) ), alpha24( X, Y, Z ) }.
% 17.74/18.10 (55286) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), Y = vreduce( X ) }.
% 17.74/18.10 (55287) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), visSomeExp( Y ) }.
% 17.74/18.10 (55288) {G0,W9,D3,L3,V2,M3} { ! Y = vreduce( X ), ! visSomeExp( Y ),
% 17.74/18.10 alpha19( X, Y ) }.
% 17.74/18.10 (55289) {G0,W9,D2,L3,V2,M3} { ! alpha8( X, Y ), alpha15( X, Y ), alpha20(
% 17.74/18.10 X, Y ) }.
% 17.74/18.10 (55290) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), alpha8( X, Y ) }.
% 17.74/18.10 (55291) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), alpha8( X, Y ) }.
% 17.74/18.10 (55292) {G0,W8,D3,L2,V3,M2} { ! alpha20( X, Y ), alpha25( Y, skol29( Z, Y
% 17.74/18.10 ) ) }.
% 17.74/18.10 (55293) {G0,W19,D5,L2,V2,M2} { ! alpha20( X, Y ), X = vapp( vabs( skol51(
% 17.74/18.10 X, Y ), skol69( X, Y ), skol78( X, Y ) ), skol29( X, Y ) ) }.
% 17.74/18.10 (55294) {G0,W14,D4,L3,V6,M3} { ! X = vapp( vabs( T, U, W ), Z ), ! alpha25
% 17.74/18.10 ( Y, Z ), alpha20( X, Y ) }.
% 17.74/18.10 (55295) {G0,W8,D3,L2,V3,M2} { ! alpha25( X, Y ), alpha29( Y, skol30( Z, Y
% 17.74/18.10 ) ) }.
% 17.74/18.10 (55296) {G0,W6,D2,L2,V2,M2} { ! alpha25( X, Y ), X = vnoExp }.
% 17.74/18.10 (55297) {G0,W9,D2,L3,V3,M3} { ! alpha29( Y, Z ), ! X = vnoExp, alpha25( X
% 17.74/18.10 , Y ) }.
% 17.74/18.10 (55298) {G0,W7,D3,L2,V2,M2} { ! alpha29( X, Y ), Y = vreduce( X ) }.
% 17.74/18.10 (55299) {G0,W5,D2,L2,V2,M2} { ! alpha29( X, Y ), ! visSomeExp( Y ) }.
% 17.74/18.10 (55300) {G0,W5,D2,L2,V2,M2} { ! alpha29( X, Y ), ! visValue( X ) }.
% 17.74/18.10 (55301) {G0,W11,D3,L4,V2,M4} { ! Y = vreduce( X ), visSomeExp( Y ),
% 17.74/18.10 visValue( X ), alpha29( X, Y ) }.
% 17.74/18.10 (55302) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), alpha21( X, Y ), alpha26
% 17.74/18.10 ( X, Y ) }.
% 17.74/18.10 (55303) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), alpha15( X, Y ) }.
% 17.74/18.10 (55304) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), alpha15( X, Y ) }.
% 17.74/18.10 (55305) {G0,W19,D5,L2,V2,M2} { ! alpha26( X, Y ), X = vapp( vabs( skol31(
% 17.74/18.10 X, Y ), skol79( X, Y ), skol70( X, Y ) ), skol52( X, Y ) ) }.
% 17.74/18.10 (55306) {G0,W10,D3,L2,V2,M2} { ! alpha26( X, Y ), alpha30( skol52( X, Y )
% 17.74/18.10 , skol83( X, Y ) ) }.
% 17.74/18.10 (55307) {G0,W16,D5,L2,V2,M2} { ! alpha26( X, Y ), Y = vsomeExp( vsubst(
% 17.74/18.10 skol31( X, Y ), skol52( X, Y ), skol70( X, Y ) ) ) }.
% 17.74/18.10 (55308) {G0,W21,D4,L4,V7,M4} { ! X = vapp( vabs( Z, W, U ), T ), ! alpha30
% 17.74/18.10 ( T, V0 ), ! Y = vsomeExp( vsubst( Z, T, U ) ), alpha26( X, Y ) }.
% 17.74/18.10 (55309) {G0,W7,D3,L2,V2,M2} { ! alpha30( X, Y ), Y = vreduce( X ) }.
% 17.74/18.10 (55310) {G0,W5,D2,L2,V2,M2} { ! alpha30( X, Y ), ! visSomeExp( Y ) }.
% 17.74/18.10 (55311) {G0,W5,D2,L2,V2,M2} { ! alpha30( X, Y ), visValue( X ) }.
% 17.74/18.10 (55312) {G0,W11,D3,L4,V2,M4} { ! Y = vreduce( X ), visSomeExp( Y ), !
% 17.74/18.10 visValue( X ), alpha30( X, Y ) }.
% 17.74/18.10 (55313) {G0,W9,D2,L3,V2,M3} { ! alpha21( X, Y ), alpha27( X, Y ), alpha31
% 17.74/18.10 ( X, Y ) }.
% 17.74/18.10 (55314) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), alpha21( X, Y ) }.
% 17.74/18.10 (55315) {G0,W6,D2,L2,V2,M2} { ! alpha31( X, Y ), alpha21( X, Y ) }.
% 17.74/18.10 (55316) {G0,W19,D5,L2,V2,M2} { ! alpha31( X, Y ), X = vapp( vabs( skol53(
% 17.74/18.10 X, Y ), skol71( X, Y ), skol80( X, Y ) ), skol32( X, Y ) ) }.
% 17.74/18.10 (55317) {G0,W10,D3,L2,V2,M2} { ! alpha31( X, Y ), alpha35( skol32( X, Y )
% 17.74/18.10 , skol84( X, Y ) ) }.
% 17.74/18.10 (55318) {G0,W21,D6,L2,V2,M2} { ! alpha31( X, Y ), Y = vsomeExp( vapp( vabs
% 17.74/18.10 ( skol53( X, Y ), skol71( X, Y ), skol80( X, Y ) ), vgetSomeExp( skol84(
% 17.74/18.10 X, Y ) ) ) ) }.
% 17.74/18.10 (55319) {G0,W24,D5,L4,V7,M4} { ! X = vapp( vabs( T, U, W ), Z ), ! alpha35
% 17.74/18.10 ( Z, V0 ), ! Y = vsomeExp( vapp( vabs( T, U, W ), vgetSomeExp( V0 ) ) ),
% 17.74/18.10 alpha31( X, Y ) }.
% 17.74/18.10 (55320) {G0,W7,D3,L2,V2,M2} { ! alpha35( X, Y ), Y = vreduce( X ) }.
% 17.74/18.10 (55321) {G0,W5,D2,L2,V2,M2} { ! alpha35( X, Y ), visSomeExp( Y ) }.
% 17.74/18.10 (55322) {G0,W9,D3,L3,V2,M3} { ! Y = vreduce( X ), ! visSomeExp( Y ),
% 17.74/18.10 alpha35( X, Y ) }.
% 17.74/18.10 (55323) {G0,W15,D4,L3,V2,M3} { ! alpha27( X, Y ), alpha32( X, Y ), X =
% 17.74/18.10 vabs( skol33( X ), skol54( X ), skol72( X ) ) }.
% 17.74/18.10 (55324) {G0,W9,D2,L3,V2,M3} { ! alpha27( X, Y ), alpha32( X, Y ), Y =
% 17.74/18.10 vnoExp }.
% 17.74/18.10 (55325) {G0,W6,D2,L2,V2,M2} { ! alpha32( X, Y ), alpha27( X, Y ) }.
% 17.74/18.10 (55326) {G0,W12,D3,L3,V5,M3} { ! X = vabs( Z, T, U ), ! Y = vnoExp,
% 17.74/18.10 alpha27( X, Y ) }.
% 17.74/18.10 (55327) {G0,W12,D4,L3,V2,M3} { ! alpha32( X, Y ), ! vreduce( X ) = Y, X =
% 17.74/18.10 vvar( skol34( X ) ) }.
% 17.74/18.10 (55328) {G0,W10,D3,L3,V2,M3} { ! alpha32( X, Y ), ! vreduce( X ) = Y, Y =
% 17.74/18.10 vnoExp }.
% 17.74/18.10 (55329) {G0,W7,D3,L2,V2,M2} { vreduce( X ) = Y, alpha32( X, Y ) }.
% 17.74/18.10 (55330) {G0,W10,D3,L3,V3,M3} { ! X = vvar( Z ), ! Y = vnoExp, alpha32( X,
% 17.74/18.10 Y ) }.
% 17.74/18.10 (55331) {G0,W10,D3,L2,V4,M2} { ! varrow( X, Y ) = varrow( Z, T ), X = Z
% 17.74/18.10 }.
% 17.74/18.10 (55332) {G0,W10,D3,L2,V4,M2} { ! varrow( X, Y ) = varrow( Z, T ), Y = T
% 17.74/18.10 }.
% 17.74/18.10 (55333) {G0,W13,D3,L3,V4,M3} { ! X = Z, ! Y = T, varrow( X, Y ) = varrow(
% 17.74/18.10 Z, T ) }.
% 17.74/18.10 (55334) {G0,W11,D3,L2,V3,M2} { ! vlookup( Y, X ) = vsomeType( Z ), vtcheck
% 17.74/18.10 ( X, vvar( Y ), Z ) }.
% 17.74/18.10 (55335) {G0,W16,D3,L2,V5,M2} { ! vtcheck( vbind( Y, T, X ), Z, U ),
% 17.74/18.10 vtcheck( X, vabs( Y, T, Z ), varrow( T, U ) ) }.
% 17.74/18.10 (55336) {G0,W16,D3,L3,V5,M3} { ! vtcheck( X, Y, varrow( U, T ) ), !
% 17.74/18.10 vtcheck( X, Z, U ), vtcheck( X, vapp( Y, Z ), T ) }.
% 17.74/18.10 (55337) {G0,W15,D4,L2,V3,M2} { alpha4( X, Y, Z ), X = vapp( skol35( X, Y,
% 17.74/18.10 Z ), skol55( X, Y, Z ) ) }.
% 17.74/18.10 (55338) {G0,W16,D4,L2,V3,M2} { alpha4( X, Y, Z ), vtcheck( Z, skol35( X, Y
% 17.74/18.10 , Z ), varrow( skol73( X, Y, Z ), Y ) ) }.
% 17.74/18.10 (55339) {G0,W14,D3,L2,V3,M2} { alpha4( X, Y, Z ), vtcheck( Z, skol55( X, Y
% 17.74/18.10 , Z ), skol73( X, Y, Z ) ) }.
% 17.74/18.10 (55340) {G0,W12,D2,L3,V3,M3} { ! alpha4( X, Y, Z ), alpha9( X, Y, Z ),
% 17.74/18.10 alpha16( X, Y, Z ) }.
% 17.74/18.10 (55341) {G0,W8,D2,L2,V3,M2} { ! alpha9( X, Y, Z ), alpha4( X, Y, Z ) }.
% 17.74/18.10 (55342) {G0,W8,D2,L2,V3,M2} { ! alpha16( X, Y, Z ), alpha4( X, Y, Z ) }.
% 17.74/18.10 (55343) {G0,W19,D4,L2,V3,M2} { ! alpha16( X, Y, Z ), X = vabs( skol36( X,
% 17.74/18.10 Y, Z ), skol74( X, Y, Z ), skol56( X, Y, Z ) ) }.
% 17.74/18.10 (55344) {G0,W15,D4,L2,V3,M2} { ! alpha16( X, Y, Z ), Y = varrow( skol74( X
% 17.74/18.10 , Y, Z ), skol81( X, Y, Z ) ) }.
% 17.74/18.10 (55345) {G0,W23,D4,L2,V3,M2} { ! alpha16( X, Y, Z ), vtcheck( vbind(
% 17.74/18.10 skol36( X, Y, Z ), skol74( X, Y, Z ), Z ), skol56( X, Y, Z ), skol81( X,
% 17.74/18.10 Y, Z ) ) }.
% 17.74/18.10 (55346) {G0,W22,D3,L4,V7,M4} { ! X = vabs( T, W, U ), ! Y = varrow( W, V0
% 17.74/18.10 ), ! vtcheck( vbind( T, W, Z ), U, V0 ), alpha16( X, Y, Z ) }.
% 17.74/18.10 (55347) {G0,W15,D4,L3,V5,M3} { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ),
% 17.74/18.10 X = vvar( skol37( X, T, U ) ) }.
% 17.74/18.10 (55348) {G0,W17,D4,L3,V3,M3} { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ),
% 17.74/18.10 vlookup( skol37( X, Y, Z ), Z ) = vsomeType( Y ) }.
% 17.74/18.10 (55349) {G0,W8,D2,L2,V3,M2} { vtcheck( Z, X, Y ), alpha9( X, Y, Z ) }.
% 17.74/18.10 (55350) {G0,W14,D3,L3,V4,M3} { ! X = vvar( T ), ! vlookup( T, Z ) =
% 17.74/18.10 vsomeType( Y ), alpha9( X, Y, Z ) }.
% 17.74/18.10 (55351) {G0,W16,D3,L3,V4,M3} { ! vlookup( X, Y ) = vnoType, ! vtcheck( Y,
% 18.79/19.21 veabs, Z ), vtcheck( vbind( X, T, Y ), veabs, Z ) }.
% 18.79/19.21 (55352) {G0,W25,D3,L4,V6,M4} { X = Z, ! vlookup( X, Y ) = vnoType, !
% 18.79/19.21 vtcheck( Y, vabs( Z, T, veabs ), U ), vtcheck( vbind( X, W, Y ), vabs( Z
% 18.79/19.21 , T, veabs ), U ) }.
% 18.79/19.21 (55353) {G0,W25,D3,L4,V6,M4} { ! X = Z, ! vlookup( X, Y ) = vnoType, !
% 18.79/19.21 vtcheck( Y, vabs( Z, T, veabs ), U ), vtcheck( vbind( X, W, Y ), vabs( Z
% 18.79/19.21 , T, veabs ), U ) }.
% 18.79/19.21 (55354) {G0,W5,D3,L1,V0,M1} { vlookup( skol38, skol57 ) = vnoType }.
% 18.79/19.21 (55355) {G0,W7,D3,L1,V0,M1} { vtcheck( skol57, vabs( skol75, skol82, veabs
% 18.79/19.21 ), skol85 ) }.
% 18.79/19.21 (55356) {G0,W10,D3,L1,V0,M1} { ! vtcheck( vbind( skol38, skol86, skol57 )
% 18.79/19.21 , vabs( skol75, skol82, veabs ), skol85 ) }.
% 18.79/19.21
% 18.79/19.21
% 18.79/19.21 Total Proof:
% 18.79/19.21
% 18.79/19.21 *** allocated 15000 integers for justifications
% 18.79/19.21 *** allocated 22500 integers for justifications
% 18.79/19.21 *** allocated 33750 integers for justifications
% 18.79/19.21 *** allocated 50625 integers for justifications
% 18.79/19.21 *** allocated 75937 integers for justifications
% 18.79/19.21 *** allocated 113905 integers for justifications
% 18.79/19.21 subsumption: (243) {G0,W25,D3,L4,V6,M4} I { X = Z, ! vlookup( X, Y ) ==>
% 18.79/19.21 vnoType, ! vtcheck( Y, vabs( Z, T, veabs ), U ), vtcheck( vbind( X, W, Y
% 18.79/19.21 ), vabs( Z, T, veabs ), U ) }.
% 18.79/19.21 parent0: (55352) {G0,W25,D3,L4,V6,M4} { X = Z, ! vlookup( X, Y ) = vnoType
% 18.79/19.21 , ! vtcheck( Y, vabs( Z, T, veabs ), U ), vtcheck( vbind( X, W, Y ), vabs
% 18.79/19.21 ( Z, T, veabs ), U ) }.
% 18.79/19.21 substitution0:
% 18.79/19.21 X := X
% 18.79/19.21 Y := Y
% 18.79/19.21 Z := Z
% 18.79/19.21 T := T
% 18.79/19.21 U := U
% 18.79/19.21 W := W
% 18.79/19.21 end
% 18.79/19.21 permutation0:
% 18.79/19.21 0 ==> 0
% 18.79/19.21 1 ==> 1
% 18.79/19.21 2 ==> 2
% 18.79/19.21 3 ==> 3
% 18.79/19.21 end
% 18.79/19.21
% 18.79/19.21 subsumption: (244) {G0,W25,D3,L4,V6,M4} I { ! X = Z, ! vlookup( X, Y ) ==>
% 18.79/19.21 vnoType, ! vtcheck( Y, vabs( Z, T, veabs ), U ), vtcheck( vbind( X, W, Y
% 18.79/19.21 ), vabs( Z, T, veabs ), U ) }.
% 18.79/19.21 parent0: (55353) {G0,W25,D3,L4,V6,M4} { ! X = Z, ! vlookup( X, Y ) =
% 18.79/19.21 vnoType, ! vtcheck( Y, vabs( Z, T, veabs ), U ), vtcheck( vbind( X, W, Y
% 18.79/19.21 ), vabs( Z, T, veabs ), U ) }.
% 18.79/19.21 substitution0:
% 18.79/19.21 X := X
% 18.79/19.21 Y := Y
% 18.79/19.21 Z := Z
% 18.79/19.21 T := T
% 18.79/19.21 U := U
% 18.79/19.21 W := W
% 18.79/19.21 end
% 18.79/19.21 permutation0:
% 18.79/19.21 0 ==> 0
% 18.79/19.21 1 ==> 1
% 18.79/19.21 2 ==> 2
% 18.79/19.21 3 ==> 3
% 18.79/19.21 end
% 18.79/19.21
% 18.79/19.21 *** allocated 2919240 integers for termspace/termends
% 18.79/19.21 *** allocated 4378860 integers for clauses
% 18.79/19.21 subsumption: (245) {G0,W5,D3,L1,V0,M1} I { vlookup( skol38, skol57 ) ==>
% 18.79/19.21 vnoType }.
% 18.79/19.21 parent0: (55354) {G0,W5,D3,L1,V0,M1} { vlookup( skol38, skol57 ) = vnoType
% 18.79/19.21 }.
% 18.79/19.21 substitution0:
% 18.79/19.21 end
% 18.79/19.21 permutation0:
% 18.79/19.21 0 ==> 0
% 18.79/19.21 end
% 18.79/19.21
% 18.79/19.21 subsumption: (246) {G0,W7,D3,L1,V0,M1} I { vtcheck( skol57, vabs( skol75,
% 18.79/19.21 skol82, veabs ), skol85 ) }.
% 18.79/19.21 parent0: (55355) {G0,W7,D3,L1,V0,M1} { vtcheck( skol57, vabs( skol75,
% 18.79/19.21 skol82, veabs ), skol85 ) }.
% 18.79/19.21 substitution0:
% 18.79/19.21 end
% 18.79/19.21 permutation0:
% 18.79/19.21 0 ==> 0
% 18.79/19.21 end
% 18.79/19.21
% 18.79/19.21 subsumption: (247) {G0,W10,D3,L1,V0,M1} I { ! vtcheck( vbind( skol38,
% 18.79/19.21 skol86, skol57 ), vabs( skol75, skol82, veabs ), skol85 ) }.
% 18.79/19.21 parent0: (55356) {G0,W10,D3,L1,V0,M1} { ! vtcheck( vbind( skol38, skol86,
% 18.79/19.21 skol57 ), vabs( skol75, skol82, veabs ), skol85 ) }.
% 18.79/19.21 substitution0:
% 18.79/19.21 end
% 18.79/19.21 permutation0:
% 18.79/19.21 0 ==> 0
% 18.79/19.21 end
% 18.79/19.21
% 18.79/19.21 eqswap: (87435) {G0,W25,D3,L4,V6,M4} { ! Y = X, ! vlookup( X, Z ) ==>
% 18.79/19.21 vnoType, ! vtcheck( Z, vabs( Y, T, veabs ), U ), vtcheck( vbind( X, W, Z
% 18.79/19.21 ), vabs( Y, T, veabs ), U ) }.
% 18.79/19.21 parent0[0]: (244) {G0,W25,D3,L4,V6,M4} I { ! X = Z, ! vlookup( X, Y ) ==>
% 18.79/19.21 vnoType, ! vtcheck( Y, vabs( Z, T, veabs ), U ), vtcheck( vbind( X, W, Y
% 18.79/19.21 ), vabs( Z, T, veabs ), U ) }.
% 18.79/19.21 substitution0:
% 18.79/19.21 X := X
% 18.79/19.21 Y := Z
% 18.79/19.21 Z := Y
% 18.79/19.21 T := T
% 18.79/19.21 U := U
% 18.79/19.21 W := W
% 18.79/19.21 end
% 18.79/19.21
% 18.79/19.21 resolution: (87439) {G1,W15,D3,L3,V0,M3} { ! skol75 = skol38, ! vlookup(
% 18.79/19.21 skol38, skol57 ) ==> vnoType, ! vtcheck( skol57, vabs( skol75, skol82,
% 18.79/19.21 veabs ), skol85 ) }.
% 18.79/19.21 parent0[0]: (247) {G0,W10,D3,L1,V0,M1} I { ! vtcheck( vbind( skol38, skol86
% 18.79/19.21 , skol57 ), vabs( skol75, skol82, veabs ), skol85 ) }.
% 18.79/19.21 parent1[3]: (87435) {G0,W25,D3,L4,V6,M4} { ! Y = X, ! vlookup( X, Z ) ==>
% 18.79/19.21 vnoType, ! vtcheck( Z, vabs( Y, T, veabs ), U ), vtcheck( vbind( X, W, Z
% 18.79/19.21 ), vabs( Y, T, veabs ), U ) }.
% 18.79/19.21 substitution0:
% 18.79/19.21 end
% 18.79/19.21 substitution1:
% 18.79/19.21 X := skol38
% 18.79/19.21 Y := skol75
% 18.79/19.21 Z := skol57
% 18.79/19.21 T := skol82
% 18.79/19.21 U := skol85
% 18.79/19.21 W := skol86
% 18.79/19.21 end
% 18.79/19.21
% 18.79/19.21 paramod: (87440) {G1,W13,D3,L3,V0,M3} { ! vnoType ==> vnoType, ! skol75 =
% 18.79/19.21 skol38, ! vtcheck( skol57, vabs( skol75, skol82, veabs ), skol85 ) }.
% 18.79/19.21 parent0[0]: (245) {G0,W5,D3,L1,V0,M1} I { vlookup( skol38, skol57 ) ==>
% 18.79/19.21 vnoType }.
% 18.79/19.21 parent1[1; 2]: (87439) {G1,W15,D3,L3,V0,M3} { ! skol75 = skol38, ! vlookup
% 18.79/19.21 ( skol38, skol57 ) ==> vnoType, ! vtcheck( skol57, vabs( skol75, skol82,
% 18.79/19.21 veabs ), skol85 ) }.
% 18.79/19.21 substitution0:
% 18.79/19.21 end
% 18.79/19.21 substitution1:
% 18.79/19.21 end
% 18.79/19.21
% 18.79/19.21 eqrefl: (87441) {G0,W10,D3,L2,V0,M2} { ! skol75 = skol38, ! vtcheck(
% 18.79/19.21 skol57, vabs( skol75, skol82, veabs ), skol85 ) }.
% 18.79/19.21 parent0[0]: (87440) {G1,W13,D3,L3,V0,M3} { ! vnoType ==> vnoType, ! skol75
% 18.79/19.21 = skol38, ! vtcheck( skol57, vabs( skol75, skol82, veabs ), skol85 ) }.
% 18.79/19.21 substitution0:
% 18.79/19.21 end
% 18.79/19.21
% 18.79/19.21 resolution: (87442) {G1,W3,D2,L1,V0,M1} { ! skol75 = skol38 }.
% 18.79/19.21 parent0[1]: (87441) {G0,W10,D3,L2,V0,M2} { ! skol75 = skol38, ! vtcheck(
% 18.79/19.21 skol57, vabs( skol75, skol82, veabs ), skol85 ) }.
% 18.79/19.21 parent1[0]: (246) {G0,W7,D3,L1,V0,M1} I { vtcheck( skol57, vabs( skol75,
% 18.79/19.21 skol82, veabs ), skol85 ) }.
% 18.79/19.21 substitution0:
% 18.79/19.21 end
% 18.79/19.21 substitution1:
% 18.79/19.21 end
% 18.79/19.21
% 18.79/19.21 subsumption: (54856) {G1,W3,D2,L1,V0,M1} R(247,244);d(245);q;r(246) { !
% 18.79/19.21 skol75 ==> skol38 }.
% 18.79/19.21 parent0: (87442) {G1,W3,D2,L1,V0,M1} { ! skol75 = skol38 }.
% 18.79/19.21 substitution0:
% 18.79/19.21 end
% 18.79/19.21 permutation0:
% 18.79/19.21 0 ==> 0
% 18.79/19.21 end
% 18.79/19.21
% 18.79/19.21 eqswap: (87444) {G0,W25,D3,L4,V6,M4} { Y = X, ! vlookup( X, Z ) ==>
% 18.79/19.21 vnoType, ! vtcheck( Z, vabs( Y, T, veabs ), U ), vtcheck( vbind( X, W, Z
% 18.79/19.21 ), vabs( Y, T, veabs ), U ) }.
% 18.79/19.21 parent0[0]: (243) {G0,W25,D3,L4,V6,M4} I { X = Z, ! vlookup( X, Y ) ==>
% 18.79/19.21 vnoType, ! vtcheck( Y, vabs( Z, T, veabs ), U ), vtcheck( vbind( X, W, Y
% 18.79/19.21 ), vabs( Z, T, veabs ), U ) }.
% 18.79/19.21 substitution0:
% 18.79/19.21 X := X
% 18.79/19.21 Y := Z
% 18.79/19.21 Z := Y
% 18.79/19.21 T := T
% 18.79/19.21 U := U
% 18.79/19.21 W := W
% 18.79/19.21 end
% 18.79/19.21
% 18.79/19.21 resolution: (87448) {G1,W15,D3,L3,V0,M3} { skol75 = skol38, ! vlookup(
% 18.79/19.21 skol38, skol57 ) ==> vnoType, ! vtcheck( skol57, vabs( skol75, skol82,
% 18.79/19.21 veabs ), skol85 ) }.
% 18.79/19.21 parent0[0]: (247) {G0,W10,D3,L1,V0,M1} I { ! vtcheck( vbind( skol38, skol86
% 18.79/19.21 , skol57 ), vabs( skol75, skol82, veabs ), skol85 ) }.
% 18.79/19.21 parent1[3]: (87444) {G0,W25,D3,L4,V6,M4} { Y = X, ! vlookup( X, Z ) ==>
% 18.79/19.21 vnoType, ! vtcheck( Z, vabs( Y, T, veabs ), U ), vtcheck( vbind( X, W, Z
% 18.79/19.21 ), vabs( Y, T, veabs ), U ) }.
% 18.79/19.21 substitution0:
% 18.79/19.21 end
% 18.79/19.21 substitution1:
% 18.79/19.21 X := skol38
% 18.79/19.21 Y := skol75
% 18.79/19.21 Z := skol57
% 18.79/19.21 T := skol82
% 18.79/19.21 U := skol85
% 18.79/19.21 W := skol86
% 18.79/19.21 end
% 18.79/19.21
% 18.79/19.21 paramod: (87449) {G1,W13,D3,L3,V0,M3} { ! vnoType ==> vnoType, skol75 =
% 18.79/19.21 skol38, ! vtcheck( skol57, vabs( skol75, skol82, veabs ), skol85 ) }.
% 18.79/19.21 parent0[0]: (245) {G0,W5,D3,L1,V0,M1} I { vlookup( skol38, skol57 ) ==>
% 18.79/19.21 vnoType }.
% 18.79/19.21 parent1[1; 2]: (87448) {G1,W15,D3,L3,V0,M3} { skol75 = skol38, ! vlookup(
% 18.79/19.21 skol38, skol57 ) ==> vnoType, ! vtcheck( skol57, vabs( skol75, skol82,
% 18.79/19.21 veabs ), skol85 ) }.
% 18.79/19.21 substitution0:
% 18.79/19.21 end
% 18.79/19.21 substitution1:
% 18.79/19.21 end
% 18.79/19.21
% 18.79/19.21 eqrefl: (87450) {G0,W10,D3,L2,V0,M2} { skol75 = skol38, ! vtcheck( skol57
% 18.79/19.21 , vabs( skol75, skol82, veabs ), skol85 ) }.
% 18.79/19.21 parent0[0]: (87449) {G1,W13,D3,L3,V0,M3} { ! vnoType ==> vnoType, skol75 =
% 18.79/19.21 skol38, ! vtcheck( skol57, vabs( skol75, skol82, veabs ), skol85 ) }.
% 18.79/19.21 substitution0:
% 18.79/19.21 end
% 18.79/19.21
% 18.79/19.21 resolution: (87451) {G1,W3,D2,L1,V0,M1} { skol75 = skol38 }.
% 18.79/19.21 parent0[1]: (87450) {G0,W10,D3,L2,V0,M2} { skol75 = skol38, ! vtcheck(
% 18.79/19.21 skol57, vabs( skol75, skol82, veabs ), skol85 ) }.
% 18.79/19.21 parent1[0]: (246) {G0,W7,D3,L1,V0,M1} I { vtcheck( skol57, vabs( skol75,
% 18.79/19.21 skol82, veabs ), skol85 ) }.
% 18.79/19.21 substitution0:
% 18.79/19.21 end
% 18.79/19.21 substitution1:
% 18.79/19.21 end
% 18.79/19.21
% 18.79/19.21 subsumption: (54857) {G1,W3,D2,L1,V0,M1} R(247,243);d(245);q;r(246) {
% 18.79/19.21 skol75 ==> skol38 }.
% 18.79/19.21 parent0: (87451) {G1,W3,D2,L1,V0,M1} { skol75 = skol38 }.
% 18.79/19.21 substitution0:
% 18.79/19.21 end
% 18.79/19.21 permutation0:
% 18.79/19.21 0 ==> 0
% 18.79/19.21 end
% 18.79/19.21
% 18.79/19.21 paramod: (87455) {G2,W3,D2,L1,V0,M1} { ! skol38 ==> skol38 }.
% 18.79/19.21 parent0[0]: (54857) {G1,W3,D2,L1,V0,M1} R(247,243);d(245);q;r(246) { skol75
% 18.79/19.21 ==> skol38 }.
% 18.79/19.21 parent1[0; 2]: (54856) {G1,W3,D2,L1,V0,M1} R(247,244);d(245);q;r(246) { !
% 18.79/19.21 skol75 ==> skol38 }.
% 18.79/19.21 substitution0:
% 18.79/19.21 end
% 18.79/19.21 substitution1:
% 18.79/19.21 end
% 18.79/19.21
% 18.79/19.21 eqrefl: (87456) {G0,W0,D0,L0,V0,M0} { }.
% 18.79/19.21 parent0[0]: (87455) {G2,W3,D2,L1,V0,M1} { ! skol38 ==> skol38 }.
% 18.79/19.21 substitution0:
% 18.79/19.21 end
% 18.79/19.21
% 18.79/19.21 subsumption: (55104) {G2,W0,D0,L0,V0,M0} S(54856);d(54857);q { }.
% 18.79/19.21 parent0: (87456) {G0,W0,D0,L0,V0,M0} { }.
% 18.79/19.21 substitution0:
% 18.79/19.21 end
% 18.79/19.21 permutation0:
% 18.79/19.21 end
% 18.79/19.21
% 18.79/19.21 Proof check complete!
% 18.79/19.21
% 18.79/19.21 Memory use:
% 18.79/19.21
% 18.79/19.21 space for terms: 1467532
% 18.79/19.21 space for clauses: 2511254
% 18.79/19.21
% 18.79/19.21
% 18.79/19.21 clauses generated: 299589
% 18.79/19.21 clauses kept: 55105
% 18.79/19.21 clauses selected: 1046
% 18.79/19.21 clauses deleted: 1356
% 18.79/19.21 clauses inuse deleted: 62
% 18.79/19.21
% 18.79/19.21 subsentry: 10052423
% 18.79/19.21 literals s-matched: 2321770
% 18.79/19.21 literals matched: 2100371
% 18.79/19.21 full subsumption: 1900184
% 18.79/19.21
% 18.79/19.21 checksum: 1852121739
% 18.79/19.21
% 18.79/19.21
% 18.79/19.21 Bliksem ended
%------------------------------------------------------------------------------