TSTP Solution File: COM149+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COM149+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 00:51:38 EDT 2022
% Result : Theorem 16.09s 16.46s
% Output : Refutation 16.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COM149+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Thu Jun 16 19:32:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.48/1.15 *** allocated 10000 integers for termspace/termends
% 0.48/1.15 *** allocated 10000 integers for clauses
% 0.48/1.15 *** allocated 10000 integers for justifications
% 0.48/1.15 Bliksem 1.12
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 Automatic Strategy Selection
% 0.48/1.15
% 0.48/1.15 *** allocated 15000 integers for termspace/termends
% 0.48/1.15
% 0.48/1.15 Clauses:
% 0.48/1.15
% 0.48/1.15 { ! vvar( X ) = vvar( Y ), X = Y }.
% 0.48/1.15 { ! X = Y, vvar( X ) = vvar( Y ) }.
% 0.48/1.15 { ! vabs( X, Y, Z ) = vabs( T, U, W ), X = T }.
% 0.48/1.15 { ! vabs( X, Y, Z ) = vabs( T, U, W ), Y = U }.
% 0.48/1.15 { ! vabs( X, Y, Z ) = vabs( T, U, W ), Z = W }.
% 0.48/1.15 { ! X = T, ! Y = U, ! Z = W, vabs( X, Y, Z ) = vabs( T, U, W ) }.
% 0.48/1.15 { ! vapp( X, Y ) = vapp( Z, T ), X = Z }.
% 0.48/1.15 { ! vapp( X, Y ) = vapp( Z, T ), Y = T }.
% 0.48/1.15 { ! X = Z, ! Y = T, vapp( X, Y ) = vapp( Z, T ) }.
% 0.48/1.15 { ! vvar( X ) = vabs( Y, Z, T ) }.
% 0.48/1.15 { ! vvar( X ) = vapp( Y, Z ) }.
% 0.48/1.15 { ! vabs( X, Y, Z ) = vapp( T, U ) }.
% 0.48/1.15 { ! X = vabs( Y, Z, T ), visValue( X ) }.
% 0.48/1.15 { ! X = vvar( Y ), ! visValue( X ) }.
% 0.48/1.15 { ! X = vapp( Y, Z ), ! visValue( X ) }.
% 0.48/1.15 { ! X = T, ! Y = vvar( Z ), ! Z = T, visFreeVar( X, Y ) }.
% 0.48/1.15 { ! X = T, ! Y = vvar( Z ), ! visFreeVar( X, Y ), Z = T }.
% 0.48/1.15 { ! X = T, ! Y = vabs( Z, W, U ), Z = T, ! visFreeVar( T, U ), visFreeVar(
% 0.48/1.15 X, Y ) }.
% 0.48/1.15 { ! X = T, ! Y = vabs( Z, W, U ), ! visFreeVar( X, Y ), ! Z = T }.
% 0.48/1.15 { ! X = T, ! Y = vabs( Z, W, U ), ! visFreeVar( X, Y ), visFreeVar( T, U )
% 0.48/1.15 }.
% 0.48/1.15 { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( T, Z ), visFreeVar( X, Y ) }.
% 0.48/1.15 { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( T, U ), visFreeVar( X, Y ) }.
% 0.48/1.15 { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( X, Y ), visFreeVar( T, Z ),
% 0.48/1.15 visFreeVar( T, U ) }.
% 0.48/1.15 { ! &&, vempty = vempty }.
% 0.48/1.15 { ! vbind( X, Y, Z ) = vbind( T, U, W ), X = T }.
% 0.48/1.15 { ! vbind( X, Y, Z ) = vbind( T, U, W ), Y = U }.
% 0.48/1.15 { ! vbind( X, Y, Z ) = vbind( T, U, W ), Z = W }.
% 0.48/1.15 { ! X = T, ! Y = U, ! Z = W, vbind( X, Y, Z ) = vbind( T, U, W ) }.
% 0.48/1.15 { ! &&, vnoType = vnoType }.
% 0.48/1.15 { ! vsomeType( X ) = vsomeType( Y ), X = Y }.
% 0.48/1.15 { ! X = Y, vsomeType( X ) = vsomeType( Y ) }.
% 0.48/1.15 { ! vempty = vbind( X, Y, Z ) }.
% 0.48/1.15 { ! vnoType = vsomeType( X ) }.
% 0.48/1.15 { ! X = vnoType, ! visSomeType( X ) }.
% 0.48/1.15 { ! X = vsomeType( Y ), visSomeType( X ) }.
% 0.48/1.15 { ! X = vsomeType( Y ), ! Z = vgetSomeType( X ), Z = Y }.
% 0.48/1.15 { ! X = Z, ! Y = vempty, ! T = vlookup( X, Y ), T = vnoType }.
% 0.48/1.15 { ! Z = X, ! T = vbind( Y, U, W ), ! X = Y, ! V0 = vlookup( Z, T ), V0 =
% 0.48/1.15 vsomeType( U ) }.
% 0.48/1.15 { ! Y = T, ! Z = vbind( X, W, U ), T = X, ! V0 = vlookup( Y, Z ), V0 =
% 0.48/1.15 vlookup( T, U ) }.
% 0.48/1.15 { alpha5( X, Y, Z ), X = skol1( X, T, U ) }.
% 0.48/1.15 { alpha5( X, Y, Z ), alpha10( Y, Z, skol1( X, Y, Z ) ) }.
% 0.48/1.15 { ! alpha10( X, Y, Z ), Y = vlookup( Z, skol39( T, Y, Z ) ) }.
% 0.48/1.15 { ! alpha10( X, Y, Z ), ! Z = skol2( X, Y, Z ) }.
% 0.48/1.15 { ! alpha10( X, Y, Z ), X = vbind( skol2( X, Y, Z ), skol58( X, Y, Z ),
% 0.48/1.15 skol39( X, Y, Z ) ) }.
% 0.48/1.15 { ! X = vbind( T, W, U ), Z = T, ! Y = vlookup( Z, U ), alpha10( X, Y, Z )
% 0.48/1.15 }.
% 0.48/1.15 { ! alpha5( X, Y, Z ), alpha11( X, Y, Z ), alpha17( X, Y, Z ) }.
% 0.48/1.15 { ! alpha11( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.48/1.15 { ! alpha17( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.48/1.15 { ! alpha17( X, Y, Z ), X = skol3( X, T, U ) }.
% 0.48/1.15 { ! alpha17( X, Y, Z ), alpha22( Y, Z, skol3( X, Y, Z ) ) }.
% 0.48/1.15 { ! X = T, ! alpha22( Y, Z, T ), alpha17( X, Y, Z ) }.
% 0.48/1.15 { ! alpha22( X, Y, Z ), Y = vsomeType( skol40( T, Y, U ) ) }.
% 0.48/1.15 { ! alpha22( X, Y, Z ), Z = skol4( X, Y, Z ) }.
% 0.48/1.15 { ! alpha22( X, Y, Z ), X = vbind( skol4( X, Y, Z ), skol40( X, Y, Z ),
% 0.48/1.15 skol59( X, Y, Z ) ) }.
% 0.48/1.15 { ! X = vbind( T, U, W ), ! Z = T, ! Y = vsomeType( U ), alpha22( X, Y, Z )
% 0.48/1.15 }.
% 0.48/1.15 { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z, alpha1( X, Y ) }.
% 0.48/1.15 { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z, Z = vnoType }.
% 0.48/1.15 { vlookup( X, Y ) = Z, alpha11( X, Y, Z ) }.
% 0.48/1.15 { ! alpha1( X, Y ), ! Z = vnoType, alpha11( X, Y, Z ) }.
% 0.48/1.15 { ! alpha1( X, Y ), X = skol5( X ) }.
% 0.48/1.15 { ! alpha1( X, Y ), Y = vempty }.
% 0.48/1.15 { ! X = Z, ! Y = vempty, alpha1( X, Y ) }.
% 0.48/1.15 { ! X = W, ! vtcheck( vbind( X, Y, vbind( W, V0, Z ) ), T, U ), vtcheck(
% 0.48/1.15 vbind( X, Y, Z ), T, U ) }.
% 0.48/1.15 { Z = X, ! vtcheck( vbind( Z, T, vbind( X, Y, U ) ), W, V0 ), vtcheck(
% 0.48/1.15 vbind( X, Y, vbind( Z, T, U ) ), W, V0 ) }.
% 0.48/1.15 { ! vgensym( Y ) = X, ! visFreeVar( X, Y ) }.
% 0.48/1.15 { ! Z = X, ! T = W, ! U = vvar( Y ), ! X = Y, ! V0 = vsubst( Z, T, U ), V0
% 0.48/1.15 = W }.
% 0.48/1.15 { ! Y = X, ! Z = W, ! T = vvar( U ), X = U, ! V0 = vsubst( Y, Z, T ), V0 =
% 0.48/1.15 vvar( U ) }.
% 0.48/1.15 { ! X = U, ! Y = W, ! Z = vapp( T, V0 ), ! V1 = vsubst( X, Y, Z ), V1 =
% 0.48/1.15 vapp( vsubst( U, W, T ), vsubst( U, W, V0 ) ) }.
% 0.48/1.15 { ! Y = X, ! Z = V1, ! T = vabs( U, W, V0 ), ! X = U, ! V2 = vsubst( Y, Z,
% 0.48/1.15 T ), V2 = vabs( U, W, V0 ) }.
% 0.48/1.15 { ! X = T, ! Y = U, ! Z = vabs( V0, W, V1 ), T = V0, ! visFreeVar( V0, U )
% 0.48/1.15 , ! V2 = vgensym( vapp( vapp( U, V1 ), vvar( T ) ) ), ! V3 = vsubst( X, Y
% 0.48/1.15 , Z ), V3 = vsubst( T, U, vabs( V2, W, vsubst( V0, vvar( V2 ), V1 ) ) ) }
% 0.48/1.15 .
% 0.48/1.15 { ! X = W, ! Y = V0, ! Z = vabs( T, U, V1 ), W = T, visFreeVar( T, V0 ), !
% 0.48/1.15 V2 = vsubst( X, Y, Z ), V2 = vabs( T, U, vsubst( W, V0, V1 ) ) }.
% 0.48/1.15 { alpha28( X, Y, Z, T ), X = skol6( X, U, W, V0 ) }.
% 0.48/1.15 { alpha28( X, Y, Z, T ), alpha33( Y, Z, T, skol6( X, Y, Z, T ) ) }.
% 0.48/1.15 { ! alpha33( X, Y, Z, T ), X = skol7( X, U, W, V0 ) }.
% 0.48/1.15 { ! alpha33( X, Y, Z, T ), alpha36( Y, Z, T, skol7( X, Y, Z, T ) ) }.
% 0.48/1.15 { ! X = U, ! alpha36( Y, Z, T, U ), alpha33( X, Y, Z, T ) }.
% 0.48/1.15 { ! alpha36( X, Y, Z, T ), alpha39( X, Z, skol8( X, Y, Z, T ), skol41( X, Y
% 0.48/1.15 , Z, T ), skol60( X, Y, Z, T ) ) }.
% 0.48/1.15 { ! alpha36( X, Y, Z, T ), ! visFreeVar( skol8( X, Y, Z, T ), T ) }.
% 0.48/1.15 { ! alpha36( X, Y, Z, T ), Y = vabs( skol8( X, Y, Z, T ), skol41( X, Y, Z,
% 0.48/1.15 T ), vsubst( Z, T, skol60( X, Y, Z, T ) ) ) }.
% 0.48/1.15 { ! alpha39( X, Z, U, W, V0 ), visFreeVar( U, T ), ! Y = vabs( U, W, vsubst
% 0.48/1.15 ( Z, T, V0 ) ), alpha36( X, Y, Z, T ) }.
% 0.48/1.15 { ! alpha39( X, Y, Z, T, U ), X = vabs( Z, T, U ) }.
% 0.48/1.15 { ! alpha39( X, Y, Z, T, U ), ! Y = Z }.
% 0.48/1.15 { ! X = vabs( Z, T, U ), Y = Z, alpha39( X, Y, Z, T, U ) }.
% 0.48/1.15 { ! alpha28( X, Y, Z, T ), alpha34( X, Y, Z, T ), alpha37( X, Y, Z, T ) }.
% 0.48/1.15 { ! alpha34( X, Y, Z, T ), alpha28( X, Y, Z, T ) }.
% 0.48/1.15 { ! alpha37( X, Y, Z, T ), alpha28( X, Y, Z, T ) }.
% 0.48/1.15 { ! alpha37( X, Y, Z, T ), X = skol9( X, U, W, V0 ) }.
% 0.48/1.15 { ! alpha37( X, Y, Z, T ), alpha40( Y, Z, T, skol9( X, Y, Z, T ) ) }.
% 0.48/1.15 { ! X = U, ! alpha40( Y, Z, T, U ), alpha37( X, Y, Z, T ) }.
% 0.48/1.15 { ! alpha40( X, Y, Z, T ), X = skol10( X, U, W, V0 ) }.
% 0.48/1.15 { ! alpha40( X, Y, Z, T ), alpha42( Y, Z, T, skol10( X, Y, Z, T ) ) }.
% 0.48/1.15 { ! X = U, ! alpha42( Y, Z, T, U ), alpha40( X, Y, Z, T ) }.
% 0.48/1.15 { ! alpha42( X, Y, Z, T ), alpha48( X, Z, T, skol11( X, Y, Z, T ), skol42(
% 0.48/1.15 X, Y, Z, T ), skol61( X, Y, Z, T ) ) }.
% 0.48/1.15 { ! alpha42( X, Y, Z, T ), skol75( X, Y, Z, T ) = vgensym( vapp( vapp( T,
% 0.48/1.15 skol61( X, Y, Z, T ) ), vvar( Z ) ) ) }.
% 0.48/1.15 { ! alpha42( X, Y, Z, T ), Y = vsubst( Z, T, vabs( skol75( X, Y, Z, T ),
% 0.48/1.15 skol11( X, Y, Z, T ), vsubst( skol42( X, Y, Z, T ), vvar( skol75( X, Y, Z
% 0.48/1.15 , T ) ), skol61( X, Y, Z, T ) ) ) ) }.
% 0.48/1.15 { ! alpha48( X, Z, T, U, W, V0 ), ! V1 = vgensym( vapp( vapp( T, V0 ), vvar
% 0.48/1.15 ( Z ) ) ), ! Y = vsubst( Z, T, vabs( V1, U, vsubst( W, vvar( V1 ), V0 ) )
% 0.48/1.15 ), alpha42( X, Y, Z, T ) }.
% 0.48/1.15 { ! alpha48( X, Y, Z, T, U, W ), alpha45( X, Y, T, U, W ) }.
% 0.48/1.15 { ! alpha48( X, Y, Z, T, U, W ), visFreeVar( U, Z ) }.
% 0.48/1.15 { ! alpha45( X, Y, T, U, W ), ! visFreeVar( U, Z ), alpha48( X, Y, Z, T, U
% 0.48/1.15 , W ) }.
% 0.48/1.15 { ! alpha45( X, Y, Z, T, U ), X = vabs( T, Z, U ) }.
% 0.48/1.15 { ! alpha45( X, Y, Z, T, U ), ! Y = T }.
% 0.48/1.15 { ! X = vabs( T, Z, U ), Y = T, alpha45( X, Y, Z, T, U ) }.
% 0.48/1.15 { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z, T ), alpha23( Z, T, skol12( U
% 0.48/1.15 , W, Z, T ) ) }.
% 0.48/1.15 { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z, T ), alpha18( X, Y, skol12( X
% 0.48/1.15 , Y, Z, T ) ) }.
% 0.48/1.15 { ! alpha38( X, Y, Z, T ), alpha34( X, Y, Z, T ) }.
% 0.48/1.15 { ! alpha18( X, Y, U ), ! alpha23( Z, T, U ), alpha34( X, Y, Z, T ) }.
% 0.48/1.15 { ! alpha38( X, Y, Z, T ), alpha41( X, Y, Z, T ), alpha43( X, Y, Z, T ) }.
% 0.48/1.15 { ! alpha41( X, Y, Z, T ), alpha38( X, Y, Z, T ) }.
% 0.48/1.15 { ! alpha43( X, Y, Z, T ), alpha38( X, Y, Z, T ) }.
% 0.48/1.15 { ! alpha43( X, Y, Z, T ), X = skol13( X, U, W, V0 ) }.
% 0.48/1.15 { ! alpha43( X, Y, Z, T ), alpha46( Y, Z, T, skol13( X, Y, Z, T ) ) }.
% 0.48/1.15 { ! X = U, ! alpha46( Y, Z, T, U ), alpha43( X, Y, Z, T ) }.
% 0.48/1.15 { ! alpha46( X, Y, Z, T ), X = skol14( X, U, W, V0 ) }.
% 0.48/1.15 { ! alpha46( X, Y, Z, T ), Y = vapp( skol43( X, Y, Z, T ), skol62( X, Y, Z
% 0.48/1.15 , T ) ) }.
% 0.48/1.15 { ! alpha46( X, Y, Z, T ), Z = vapp( vsubst( T, skol14( X, Y, Z, T ),
% 0.48/1.15 skol43( X, Y, Z, T ) ), vsubst( T, skol14( X, Y, Z, T ), skol62( X, Y, Z
% 0.48/1.15 , T ) ) ) }.
% 0.48/1.15 { ! X = U, ! Y = vapp( W, V0 ), ! Z = vapp( vsubst( T, U, W ), vsubst( T, U
% 0.48/1.15 , V0 ) ), alpha46( X, Y, Z, T ) }.
% 0.48/1.15 { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z, T ), alpha12( Z, T, skol15( U
% 0.48/1.15 , W, Z, T ) ) }.
% 0.48/1.15 { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z, T ), alpha6( X, Y, skol15( X,
% 0.48/1.15 Y, Z, T ) ) }.
% 0.48/1.15 { ! alpha44( X, Y, Z, T ), alpha41( X, Y, Z, T ) }.
% 0.48/1.15 { ! alpha6( X, Y, U ), ! alpha12( Z, T, U ), alpha41( X, Y, Z, T ) }.
% 0.48/1.15 { ! alpha44( X, Y, Z, T ), ! vsubst( X, Y, Z ) = T, alpha47( X, Y, Z, T ) }
% 0.48/1.15 .
% 0.48/1.15 { vsubst( X, Y, Z ) = T, alpha44( X, Y, Z, T ) }.
% 0.48/1.15 { ! alpha47( X, Y, Z, T ), alpha44( X, Y, Z, T ) }.
% 0.48/1.15 { ! alpha47( X, Y, Z, T ), X = skol16( X, U, W, V0 ) }.
% 0.48/1.15 { ! alpha47( X, Y, Z, T ), alpha49( Y, Z, T, skol16( X, Y, Z, T ) ) }.
% 0.48/1.15 { ! X = U, ! alpha49( Y, Z, T, U ), alpha47( X, Y, Z, T ) }.
% 0.48/1.15 { ! alpha49( X, Y, Z, T ), X = skol17( X, U, W, V0 ) }.
% 0.48/1.15 { ! alpha49( X, Y, Z, T ), alpha2( Y, T, skol44( U, Y, W, T ) ) }.
% 0.48/1.15 { ! alpha49( X, Y, Z, T ), Z = skol17( X, Y, Z, T ) }.
% 0.48/1.15 { ! X = U, ! alpha2( Y, T, W ), ! Z = U, alpha49( X, Y, Z, T ) }.
% 0.48/1.15 { ! alpha23( X, Y, Z ), X = vabs( skol18( X, Y, Z ), skol45( X, Y, Z ),
% 0.48/1.15 skol63( X, Y, Z ) ) }.
% 0.48/1.15 { ! alpha23( X, Y, Z ), Z = skol18( X, Y, Z ) }.
% 0.48/1.15 { ! alpha23( X, Y, Z ), Y = vabs( skol18( X, Y, Z ), skol45( X, Y, Z ),
% 0.48/1.15 skol63( X, Y, Z ) ) }.
% 0.48/1.15 { ! X = vabs( T, U, W ), ! Z = T, ! Y = vabs( T, U, W ), alpha23( X, Y, Z )
% 0.48/1.15 }.
% 0.48/1.15 { ! alpha18( X, Y, Z ), X = Z }.
% 0.48/1.15 { ! alpha18( X, Y, Z ), Y = skol19( Y ) }.
% 0.48/1.15 { ! X = Z, ! Y = T, alpha18( X, Y, Z ) }.
% 0.48/1.15 { ! alpha12( X, Y, Z ), ! Z = skol20( T, U, Z ) }.
% 0.48/1.15 { ! alpha12( X, Y, Z ), Y = vvar( skol20( T, Y, Z ) ) }.
% 0.48/1.15 { ! alpha12( X, Y, Z ), X = vvar( skol20( X, Y, Z ) ) }.
% 0.48/1.15 { ! X = vvar( T ), Z = T, ! Y = vvar( T ), alpha12( X, Y, Z ) }.
% 0.48/1.15 { ! alpha6( X, Y, Z ), X = Z }.
% 0.48/1.15 { ! alpha6( X, Y, Z ), Y = skol21( Y ) }.
% 0.48/1.15 { ! X = Z, ! Y = T, alpha6( X, Y, Z ) }.
% 0.48/1.15 { ! alpha2( X, Y, Z ), X = vvar( Z ) }.
% 0.48/1.15 { ! alpha2( X, Y, Z ), Y = Z }.
% 0.48/1.15 { ! X = vvar( Z ), ! Y = Z, alpha2( X, Y, Z ) }.
% 0.48/1.15 { ! &&, vnoExp = vnoExp }.
% 0.48/1.15 { ! vsomeExp( X ) = vsomeExp( Y ), X = Y }.
% 0.48/1.15 { ! X = Y, vsomeExp( X ) = vsomeExp( Y ) }.
% 0.48/1.15 { ! vnoExp = vsomeExp( X ) }.
% 0.48/1.15 { ! X = vnoExp, ! visSomeExp( X ) }.
% 0.48/1.15 { ! X = vsomeExp( Y ), visSomeExp( X ) }.
% 0.48/1.15 { ! X = vsomeExp( Y ), ! Z = vgetSomeExp( X ), Z = Y }.
% 0.48/1.15 { ! X = vvar( Y ), ! Z = vreduce( X ), Z = vnoExp }.
% 0.48/1.15 { ! X = vabs( Y, Z, T ), ! U = vreduce( X ), U = vnoExp }.
% 0.48/1.15 { ! Y = vapp( vabs( Z, T, U ), X ), ! W = vreduce( X ), ! visSomeExp( W ),
% 0.48/1.15 ! V0 = vreduce( Y ), V0 = vsomeExp( vapp( vabs( Z, T, U ), vgetSomeExp( W
% 0.48/1.15 ) ) ) }.
% 0.48/1.15 { ! X = vapp( vabs( Y, U, T ), Z ), ! W = vreduce( Z ), visSomeExp( W ), !
% 0.48/1.15 visValue( Z ), ! V0 = vreduce( X ), V0 = vsomeExp( vsubst( Y, Z, T ) ) }
% 0.48/1.15 .
% 0.48/1.15 { ! Y = vapp( vabs( Z, T, U ), X ), ! W = vreduce( X ), visSomeExp( W ),
% 0.48/1.15 visValue( X ), ! V0 = vreduce( Y ), V0 = vnoExp }.
% 0.48/1.15 { ! Y = vapp( X, Z ), X = vabs( skol22( X ), skol46( X ), skol64( X ) ), !
% 0.48/1.15 T = vreduce( X ), ! visSomeExp( T ), ! U = vreduce( Y ), U = vsomeExp(
% 0.48/1.15 vapp( vgetSomeExp( T ), Z ) ) }.
% 0.48/1.15 { ! Y = vapp( X, Z ), X = vabs( skol23( X ), skol47( X ), skol65( X ) ), !
% 0.48/1.15 T = vreduce( X ), visSomeExp( T ), ! U = vreduce( Y ), U = vnoExp }.
% 0.48/1.15 { alpha3( X, Y ), alpha13( Y, skol24( Z, Y ) ) }.
% 0.48/1.15 { alpha3( X, Y ), alpha7( X, skol24( X, Y ) ) }.
% 0.48/1.15 { ! alpha13( X, Y ), ! visSomeExp( skol25( Z, T ) ) }.
% 0.48/1.15 { ! alpha13( X, Y ), skol25( Z, Y ) = vreduce( Y ) }.
% 0.48/1.15 { ! alpha13( X, Y ), X = vnoExp }.
% 0.48/1.15 { ! Z = vreduce( Y ), visSomeExp( Z ), ! X = vnoExp, alpha13( X, Y ) }.
% 0.48/1.15 { ! alpha7( X, Y ), X = vapp( Y, skol26( X, Y ) ) }.
% 0.48/1.15 { ! alpha7( X, Y ), ! Y = vabs( Z, T, U ) }.
% 0.48/1.15 { ! X = vapp( Y, Z ), Y = vabs( skol48( Y ), skol66( Y ), skol76( Y ) ),
% 0.48/1.15 alpha7( X, Y ) }.
% 0.48/1.15 { ! alpha3( X, Y ), alpha8( X, Y ), alpha14( X, Y ) }.
% 0.48/1.15 { ! alpha8( X, Y ), alpha3( X, Y ) }.
% 0.48/1.15 { ! alpha14( X, Y ), alpha3( X, Y ) }.
% 0.48/1.15 { ! alpha14( X, Y ), alpha24( X, skol27( X, Y ), skol49( X, Y ) ) }.
% 0.48/1.15 { ! alpha14( X, Y ), alpha19( skol27( X, Y ), skol67( X, Y ) ) }.
% 0.48/1.15 { ! alpha14( X, Y ), Y = vsomeExp( vapp( vgetSomeExp( skol67( X, Y ) ),
% 0.48/1.15 skol49( X, Y ) ) ) }.
% 0.48/1.15 { ! alpha24( X, Z, T ), ! alpha19( Z, U ), ! Y = vsomeExp( vapp(
% 0.48/1.15 vgetSomeExp( U ), T ) ), alpha14( X, Y ) }.
% 0.48/1.15 { ! alpha24( X, Y, Z ), X = vapp( Y, Z ) }.
% 0.48/1.15 { ! alpha24( X, Y, Z ), ! Y = vabs( T, U, W ) }.
% 0.48/1.15 { ! X = vapp( Y, Z ), Y = vabs( skol28( Y ), skol50( Y ), skol68( Y ) ),
% 0.48/1.15 alpha24( X, Y, Z ) }.
% 0.48/1.15 { ! alpha19( X, Y ), Y = vreduce( X ) }.
% 0.48/1.15 { ! alpha19( X, Y ), visSomeExp( Y ) }.
% 0.48/1.15 { ! Y = vreduce( X ), ! visSomeExp( Y ), alpha19( X, Y ) }.
% 0.48/1.15 { ! alpha8( X, Y ), alpha15( X, Y ), alpha20( X, Y ) }.
% 0.48/1.15 { ! alpha15( X, Y ), alpha8( X, Y ) }.
% 0.48/1.15 { ! alpha20( X, Y ), alpha8( X, Y ) }.
% 0.48/1.15 { ! alpha20( X, Y ), alpha25( Y, skol29( Z, Y ) ) }.
% 0.48/1.15 { ! alpha20( X, Y ), X = vapp( vabs( skol51( X, Y ), skol69( X, Y ), skol77
% 0.48/1.15 ( X, Y ) ), skol29( X, Y ) ) }.
% 0.48/1.15 { ! X = vapp( vabs( T, U, W ), Z ), ! alpha25( Y, Z ), alpha20( X, Y ) }.
% 0.48/1.15 { ! alpha25( X, Y ), alpha29( Y, skol30( Z, Y ) ) }.
% 0.48/1.15 { ! alpha25( X, Y ), X = vnoExp }.
% 0.48/1.15 { ! alpha29( Y, Z ), ! X = vnoExp, alpha25( X, Y ) }.
% 0.48/1.15 { ! alpha29( X, Y ), Y = vreduce( X ) }.
% 0.48/1.15 { ! alpha29( X, Y ), ! visSomeExp( Y ) }.
% 0.48/1.15 { ! alpha29( X, Y ), ! visValue( X ) }.
% 0.48/1.15 { ! Y = vreduce( X ), visSomeExp( Y ), visValue( X ), alpha29( X, Y ) }.
% 0.48/1.15 { ! alpha15( X, Y ), alpha21( X, Y ), alpha26( X, Y ) }.
% 0.48/1.15 { ! alpha21( X, Y ), alpha15( X, Y ) }.
% 0.48/1.15 { ! alpha26( X, Y ), alpha15( X, Y ) }.
% 0.48/1.15 { ! alpha26( X, Y ), X = vapp( vabs( skol31( X, Y ), skol78( X, Y ), skol70
% 0.48/1.15 ( X, Y ) ), skol52( X, Y ) ) }.
% 0.48/1.15 { ! alpha26( X, Y ), alpha30( skol52( X, Y ), skol81( X, Y ) ) }.
% 0.48/1.15 { ! alpha26( X, Y ), Y = vsomeExp( vsubst( skol31( X, Y ), skol52( X, Y ),
% 0.48/1.15 skol70( X, Y ) ) ) }.
% 0.48/1.15 { ! X = vapp( vabs( Z, W, U ), T ), ! alpha30( T, V0 ), ! Y = vsomeExp(
% 0.48/1.15 vsubst( Z, T, U ) ), alpha26( X, Y ) }.
% 0.48/1.15 { ! alpha30( X, Y ), Y = vreduce( X ) }.
% 0.48/1.15 { ! alpha30( X, Y ), ! visSomeExp( Y ) }.
% 0.48/1.15 { ! alpha30( X, Y ), visValue( X ) }.
% 0.48/1.15 { ! Y = vreduce( X ), visSomeExp( Y ), ! visValue( X ), alpha30( X, Y ) }.
% 0.48/1.15 { ! alpha21( X, Y ), alpha27( X, Y ), alpha31( X, Y ) }.
% 0.48/1.15 { ! alpha27( X, Y ), alpha21( X, Y ) }.
% 0.48/1.15 { ! alpha31( X, Y ), alpha21( X, Y ) }.
% 0.48/1.15 { ! alpha31( X, Y ), X = vapp( vabs( skol53( X, Y ), skol71( X, Y ), skol79
% 0.48/1.15 ( X, Y ) ), skol32( X, Y ) ) }.
% 0.48/1.15 { ! alpha31( X, Y ), alpha35( skol32( X, Y ), skol82( X, Y ) ) }.
% 0.48/1.15 { ! alpha31( X, Y ), Y = vsomeExp( vapp( vabs( skol53( X, Y ), skol71( X, Y
% 0.48/1.15 ), skol79( X, Y ) ), vgetSomeExp( skol82( X, Y ) ) ) ) }.
% 0.48/1.15 { ! X = vapp( vabs( T, U, W ), Z ), ! alpha35( Z, V0 ), ! Y = vsomeExp(
% 0.48/1.15 vapp( vabs( T, U, W ), vgetSomeExp( V0 ) ) ), alpha31( X, Y ) }.
% 0.48/1.15 { ! alpha35( X, Y ), Y = vreduce( X ) }.
% 0.48/1.15 { ! alpha35( X, Y ), visSomeExp( Y ) }.
% 0.48/1.15 { ! Y = vreduce( X ), ! visSomeExp( Y ), alpha35( X, Y ) }.
% 0.48/1.15 { ! alpha27( X, Y ), alpha32( X, Y ), X = vabs( skol33( X ), skol54( X ),
% 0.48/1.15 skol72( X ) ) }.
% 0.48/1.15 { ! alpha27( X, Y ), alpha32( X, Y ), Y = vnoExp }.
% 0.48/1.15 { ! alpha32( X, Y ), alpha27( X, Y ) }.
% 0.48/1.15 { ! X = vabs( Z, T, U ), ! Y = vnoExp, alpha27( X, Y ) }.
% 0.48/1.15 { ! alpha32( X, Y ), ! vreduce( X ) = Y, X = vvar( skol34( X ) ) }.
% 0.48/1.15 { ! alpha32( X, Y ), ! vreduce( X ) = Y, Y = vnoExp }.
% 0.48/1.15 { vreduce( X ) = Y, alpha32( X, Y ) }.
% 0.48/1.15 { ! X = vvar( Z ), ! Y = vnoExp, alpha32( X, Y ) }.
% 0.48/1.15 { ! varrow( X, Y ) = varrow( Z, T ), X = Z }.
% 0.48/1.15 { ! varrow( X, Y ) = varrow( Z, T ), Y = T }.
% 0.48/1.15 { ! X = Z, ! Y = T, varrow( X, Y ) = varrow( Z, T ) }.
% 0.48/1.15 { ! vlookup( Y, X ) = vsomeType( Z ), vtcheck( X, vvar( Y ), Z ) }.
% 0.48/1.15 { ! vtcheck( vbind( Y, T, X ), Z, U ), vtcheck( X, vabs( Y, T, Z ), varrow
% 0.48/1.15 ( T, U ) ) }.
% 0.48/1.15 { ! vtcheck( X, Y, varrow( U, T ) ), ! vtcheck( X, Z, U ), vtcheck( X, vapp
% 0.48/1.15 ( Y, Z ), T ) }.
% 0.48/1.15 { alpha4( X, Y, Z ), X = vapp( skol35( X, Y, Z ), skol55( X, Y, Z ) ) }.
% 0.48/1.15 { alpha4( X, Y, Z ), vtcheck( Z, skol35( X, Y, Z ), varrow( skol73( X, Y, Z
% 0.48/1.15 ), Y ) ) }.
% 0.48/1.15 { alpha4( X, Y, Z ), vtcheck( Z, skol55( X, Y, Z ), skol73( X, Y, Z ) ) }.
% 0.48/1.15 { ! alpha4( X, Y, Z ), alpha9( X, Y, Z ), alpha16( X, Y, Z ) }.
% 0.48/1.15 { ! alpha9( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.48/1.15 { ! alpha16( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.48/1.15 { ! alpha16( X, Y, Z ), X = vabs( skol36( X, Y, Z ), skol74( X, Y, Z ),
% 0.48/1.15 skol56( X, Y, Z ) ) }.
% 0.48/1.15 { ! alpha16( X, Y, Z ), Y = varrow( skol74( X, Y, Z ), skol80( X, Y, Z ) )
% 0.48/1.15 }.
% 0.48/1.15 { ! alpha16( X, Y, Z ), vtcheck( vbind( skol36( X, Y, Z ), skol74( X, Y, Z
% 0.48/1.15 ), Z ), skol56( X, Y, Z ), skol80( X, Y, Z ) ) }.
% 0.48/1.15 { ! X = vabs( T, W, U ), ! Y = varrow( W, V0 ), ! vtcheck( vbind( T, W, Z )
% 0.48/1.15 , U, V0 ), alpha16( X, Y, Z ) }.
% 0.48/1.15 { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ), X = vvar( skol37( X, T, U ) )
% 0.48/1.15 }.
% 0.48/1.15 { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ), vlookup( skol37( X, Y, Z ), Z
% 0.48/1.15 ) = vsomeType( Y ) }.
% 0.48/1.15 { vtcheck( Z, X, Y ), alpha9( X, Y, Z ) }.
% 0.48/1.15 { ! X = vvar( T ), ! vlookup( T, Z ) = vsomeType( Y ), alpha9( X, Y, Z ) }
% 0.48/1.15 .
% 0.48/1.15 { ! vlookup( X, Y ) = vnoType, ! vtcheck( Y, Z, T ), vtcheck( vbind( X, U,
% 0.48/1.15 Y ), Z, T ) }.
% 0.48/1.15 { visFreeVar( T, Y ), ! vtcheck( vbind( T, U, X ), Y, Z ), vtcheck( X, Y, Z
% 0.48/1.15 ) }.
% 0.48/1.15 { vtcheck( vempty, vvar( skol38 ), skol57 ) }.
% 0.48/1.15 { ! visValue( vvar( skol38 ) ) }.
% 0.48/1.15 { ! vreduce( vvar( skol38 ) ) = vsomeExp( X ) }.
% 0.48/1.15
% 0.48/1.15 *** allocated 15000 integers for clauses
% 0.48/1.15 percentage equality = 0.476043, percentage horn = 0.801619
% 0.48/1.15 This is a problem with some equality
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 Options Used:
% 0.48/1.15
% 0.48/1.15 useres = 1
% 0.48/1.15 useparamod = 1
% 0.48/1.15 useeqrefl = 1
% 0.48/1.15 useeqfact = 1
% 0.48/1.15 usefactor = 1
% 0.48/1.15 usesimpsplitting = 0
% 0.48/1.15 usesimpdemod = 5
% 0.48/1.15 usesimpres = 3
% 0.48/1.15
% 0.48/1.15 resimpinuse = 1000
% 0.48/1.15 resimpclauses = 20000
% 0.48/1.15 substype = eqrewr
% 0.48/1.15 backwardsubs = 1
% 0.48/1.15 selectoldest = 5
% 0.48/1.15
% 0.48/1.15 litorderings [0] = split
% 0.48/1.15 litorderings [1] = extend the termordering, first sorting on arguments
% 0.48/1.15
% 0.48/1.15 termordering = kbo
% 0.48/1.15
% 0.48/1.15 litapriori = 0
% 0.48/1.15 termapriori = 1
% 0.48/1.15 litaposteriori = 0
% 0.48/1.15 termaposteriori = 0
% 0.48/1.15 demodaposteriori = 0
% 0.48/1.15 ordereqreflfact = 0
% 0.48/1.15
% 0.48/1.15 litselect = negord
% 0.48/1.15
% 0.48/1.15 maxweight = 15
% 0.48/1.15 maxdepth = 30000
% 0.48/1.15 maxlength = 115
% 0.48/1.15 maxnrvars = 195
% 0.48/1.15 excuselevel = 1
% 0.48/1.15 increasemaxweight = 1
% 0.48/1.15
% 0.48/1.15 maxselected = 10000000
% 0.48/1.15 maxnrclauses = 10000000
% 0.48/1.15
% 0.48/1.15 showgenerated = 0
% 0.48/1.15 showkept = 0
% 0.48/1.15 showselected = 0
% 0.48/1.15 showdeleted = 0
% 0.48/1.15 showresimp = 1
% 0.48/1.15 showstatus = 2000
% 0.48/1.15
% 0.48/1.15 prologoutput = 0
% 0.48/1.15 nrgoals = 5000000
% 0.48/1.15 totalproof = 1
% 0.48/1.15
% 0.48/1.15 Symbols occurring in the translation:
% 0.48/1.15
% 0.48/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.48/1.15 . [1, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.48/1.15 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.48/1.15 ! [4, 1] (w:0, o:46, a:1, s:1, b:0),
% 0.48/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.48/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.48/1.15 vvar [37, 1] (w:1, o:51, a:1, s:1, b:0),
% 0.48/1.15 vabs [42, 3] (w:1, o:147, a:1, s:1, b:0),
% 0.48/1.15 vapp [45, 2] (w:1, o:104, a:1, s:1, b:0),
% 0.48/1.15 visValue [49, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.48/1.15 visFreeVar [53, 2] (w:1, o:105, a:1, s:1, b:0),
% 0.48/1.15 vempty [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.48/1.15 vbind [58, 3] (w:1, o:148, a:1, s:1, b:0),
% 0.48/1.15 vnoType [59, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.48/1.15 vsomeType [60, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.48/1.15 visSomeType [62, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.48/1.15 vgetSomeType [64, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.48/1.15 vlookup [65, 2] (w:1, o:106, a:1, s:1, b:0),
% 0.48/1.15 vtcheck [70, 3] (w:1, o:150, a:1, s:1, b:0),
% 0.48/1.15 vgensym [71, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.48/1.15 vsubst [72, 3] (w:1, o:149, a:1, s:1, b:0),
% 0.48/1.15 vnoExp [74, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.48/1.15 vsomeExp [75, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.48/1.15 visSomeExp [77, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.48/1.15 vgetSomeExp [78, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.48/1.15 vreduce [79, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.48/1.15 varrow [87, 2] (w:1, o:107, a:1, s:1, b:0),
% 0.48/1.15 alpha1 [91, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.48/1.15 alpha2 [92, 3] (w:1, o:157, a:1, s:1, b:1),
% 0.48/1.15 alpha3 [93, 2] (w:1, o:115, a:1, s:1, b:1),
% 0.48/1.15 alpha4 [94, 3] (w:1, o:158, a:1, s:1, b:1),
% 0.48/1.15 alpha5 [95, 3] (w:1, o:159, a:1, s:1, b:1),
% 0.48/1.15 alpha6 [96, 3] (w:1, o:160, a:1, s:1, b:1),
% 0.48/1.15 alpha7 [97, 2] (w:1, o:116, a:1, s:1, b:1),
% 0.48/1.15 alpha8 [98, 2] (w:1, o:117, a:1, s:1, b:1),
% 0.48/1.15 alpha9 [99, 3] (w:1, o:161, a:1, s:1, b:1),
% 0.48/1.15 alpha10 [100, 3] (w:1, o:151, a:1, s:1, b:1),
% 0.48/1.15 alpha11 [101, 3] (w:1, o:152, a:1, s:1, b:1),
% 0.48/1.15 alpha12 [102, 3] (w:1, o:153, a:1, s:1, b:1),
% 0.48/1.15 alpha13 [103, 2] (w:1, o:118, a:1, s:1, b:1),
% 0.48/1.15 alpha14 [104, 2] (w:1, o:119, a:1, s:1, b:1),
% 0.48/1.15 alpha15 [105, 2] (w:1, o:120, a:1, s:1, b:1),
% 0.48/1.15 alpha16 [106, 3] (w:1, o:154, a:1, s:1, b:1),
% 0.48/1.15 alpha17 [107, 3] (w:1, o:155, a:1, s:1, b:1),
% 0.48/1.15 alpha18 [108, 3] (w:1, o:156, a:1, s:1, b:1),
% 0.48/1.15 alpha19 [109, 2] (w:1, o:121, a:1, s:1, b:1),
% 5.42/5.80 alpha20 [110, 2] (w:1, o:109, a:1, s:1, b:1),
% 5.42/5.80 alpha21 [111, 2] (w:1, o:110, a:1, s:1, b:1),
% 5.42/5.80 alpha22 [112, 3] (w:1, o:162, a:1, s:1, b:1),
% 5.42/5.80 alpha23 [113, 3] (w:1, o:163, a:1, s:1, b:1),
% 5.42/5.80 alpha24 [114, 3] (w:1, o:164, a:1, s:1, b:1),
% 5.42/5.80 alpha25 [115, 2] (w:1, o:111, a:1, s:1, b:1),
% 5.42/5.80 alpha26 [116, 2] (w:1, o:112, a:1, s:1, b:1),
% 5.42/5.80 alpha27 [117, 2] (w:1, o:113, a:1, s:1, b:1),
% 5.42/5.80 alpha28 [118, 4] (w:1, o:185, a:1, s:1, b:1),
% 5.42/5.80 alpha29 [119, 2] (w:1, o:114, a:1, s:1, b:1),
% 5.42/5.80 alpha30 [120, 2] (w:1, o:122, a:1, s:1, b:1),
% 5.42/5.80 alpha31 [121, 2] (w:1, o:123, a:1, s:1, b:1),
% 5.42/5.80 alpha32 [122, 2] (w:1, o:124, a:1, s:1, b:1),
% 5.42/5.80 alpha33 [123, 4] (w:1, o:186, a:1, s:1, b:1),
% 5.42/5.80 alpha34 [124, 4] (w:1, o:187, a:1, s:1, b:1),
% 5.42/5.80 alpha35 [125, 2] (w:1, o:125, a:1, s:1, b:1),
% 5.42/5.80 alpha36 [126, 4] (w:1, o:188, a:1, s:1, b:1),
% 5.42/5.80 alpha37 [127, 4] (w:1, o:189, a:1, s:1, b:1),
% 5.42/5.80 alpha38 [128, 4] (w:1, o:190, a:1, s:1, b:1),
% 5.42/5.80 alpha39 [129, 5] (w:1, o:219, a:1, s:1, b:1),
% 5.42/5.80 alpha40 [130, 4] (w:1, o:191, a:1, s:1, b:1),
% 5.42/5.80 alpha41 [131, 4] (w:1, o:192, a:1, s:1, b:1),
% 5.42/5.80 alpha42 [132, 4] (w:1, o:193, a:1, s:1, b:1),
% 5.42/5.80 alpha43 [133, 4] (w:1, o:194, a:1, s:1, b:1),
% 5.42/5.80 alpha44 [134, 4] (w:1, o:195, a:1, s:1, b:1),
% 5.42/5.80 alpha45 [135, 5] (w:1, o:220, a:1, s:1, b:1),
% 5.42/5.80 alpha46 [136, 4] (w:1, o:196, a:1, s:1, b:1),
% 5.42/5.80 alpha47 [137, 4] (w:1, o:197, a:1, s:1, b:1),
% 5.42/5.80 alpha48 [138, 6] (w:1, o:221, a:1, s:1, b:1),
% 5.42/5.80 alpha49 [139, 4] (w:1, o:198, a:1, s:1, b:1),
% 5.42/5.80 skol1 [140, 3] (w:1, o:165, a:1, s:1, b:1),
% 5.42/5.80 skol2 [141, 3] (w:1, o:167, a:1, s:1, b:1),
% 5.42/5.80 skol3 [142, 3] (w:1, o:169, a:1, s:1, b:1),
% 5.42/5.80 skol4 [143, 3] (w:1, o:174, a:1, s:1, b:1),
% 5.42/5.80 skol5 [144, 1] (w:1, o:64, a:1, s:1, b:1),
% 5.42/5.80 skol6 [145, 4] (w:1, o:199, a:1, s:1, b:1),
% 5.42/5.80 skol7 [146, 4] (w:1, o:203, a:1, s:1, b:1),
% 5.42/5.80 skol8 [147, 4] (w:1, o:205, a:1, s:1, b:1),
% 5.42/5.80 skol9 [148, 4] (w:1, o:206, a:1, s:1, b:1),
% 5.42/5.80 skol10 [149, 4] (w:1, o:207, a:1, s:1, b:1),
% 5.42/5.80 skol11 [150, 4] (w:1, o:208, a:1, s:1, b:1),
% 5.42/5.80 skol12 [151, 4] (w:1, o:209, a:1, s:1, b:1),
% 5.42/5.80 skol13 [152, 4] (w:1, o:210, a:1, s:1, b:1),
% 5.42/5.80 skol14 [153, 4] (w:1, o:211, a:1, s:1, b:1),
% 5.42/5.80 skol15 [154, 4] (w:1, o:212, a:1, s:1, b:1),
% 5.42/5.80 skol16 [155, 4] (w:1, o:213, a:1, s:1, b:1),
% 5.42/5.80 skol17 [156, 4] (w:1, o:214, a:1, s:1, b:1),
% 5.42/5.80 skol18 [157, 3] (w:1, o:166, a:1, s:1, b:1),
% 5.42/5.80 skol19 [158, 1] (w:1, o:65, a:1, s:1, b:1),
% 5.42/5.80 skol20 [159, 3] (w:1, o:168, a:1, s:1, b:1),
% 5.42/5.80 skol21 [160, 1] (w:1, o:66, a:1, s:1, b:1),
% 5.42/5.80 skol22 [161, 1] (w:1, o:67, a:1, s:1, b:1),
% 5.42/5.80 skol23 [162, 1] (w:1, o:68, a:1, s:1, b:1),
% 5.42/5.80 skol24 [163, 2] (w:1, o:126, a:1, s:1, b:1),
% 5.42/5.80 skol25 [164, 2] (w:1, o:127, a:1, s:1, b:1),
% 5.42/5.80 skol26 [165, 2] (w:1, o:128, a:1, s:1, b:1),
% 5.42/5.80 skol27 [166, 2] (w:1, o:129, a:1, s:1, b:1),
% 5.42/5.80 skol28 [167, 1] (w:1, o:69, a:1, s:1, b:1),
% 5.42/5.80 skol29 [168, 2] (w:1, o:130, a:1, s:1, b:1),
% 5.42/5.80 skol30 [169, 2] (w:1, o:131, a:1, s:1, b:1),
% 5.42/5.80 skol31 [170, 2] (w:1, o:132, a:1, s:1, b:1),
% 5.42/5.80 skol32 [171, 2] (w:1, o:133, a:1, s:1, b:1),
% 5.42/5.80 skol33 [172, 1] (w:1, o:70, a:1, s:1, b:1),
% 5.42/5.80 skol34 [173, 1] (w:1, o:71, a:1, s:1, b:1),
% 5.42/5.80 skol35 [174, 3] (w:1, o:170, a:1, s:1, b:1),
% 5.42/5.80 skol36 [175, 3] (w:1, o:171, a:1, s:1, b:1),
% 5.42/5.80 skol37 [176, 3] (w:1, o:172, a:1, s:1, b:1),
% 5.42/5.80 skol38 [177, 0] (w:1, o:44, a:1, s:1, b:1),
% 5.42/5.80 skol39 [178, 3] (w:1, o:173, a:1, s:1, b:1),
% 5.42/5.80 skol40 [179, 3] (w:1, o:175, a:1, s:1, b:1),
% 5.42/5.80 skol41 [180, 4] (w:1, o:215, a:1, s:1, b:1),
% 5.42/5.80 skol42 [181, 4] (w:1, o:216, a:1, s:1, b:1),
% 5.42/5.80 skol43 [182, 4] (w:1, o:217, a:1, s:1, b:1),
% 5.42/5.80 skol44 [183, 4] (w:1, o:218, a:1, s:1, b:1),
% 5.42/5.80 skol45 [184, 3] (w:1, o:176, a:1, s:1, b:1),
% 5.42/5.80 skol46 [185, 1] (w:1, o:61, a:1, s:1, b:1),
% 5.42/5.80 skol47 [186, 1] (w:1, o:62, a:1, s:1, b:1),
% 5.42/5.80 skol48 [187, 1] (w:1, o:63, a:1, s:1, b:1),
% 5.42/5.80 skol49 [188, 2] (w:1, o:134, a:1, s:1, b:1),
% 16.09/16.46 skol50 [189, 1] (w:1, o:72, a:1, s:1, b:1),
% 16.09/16.46 skol51 [190, 2] (w:1, o:135, a:1, s:1, b:1),
% 16.09/16.46 skol52 [191, 2] (w:1, o:136, a:1, s:1, b:1),
% 16.09/16.46 skol53 [192, 2] (w:1, o:137, a:1, s:1, b:1),
% 16.09/16.46 skol54 [193, 1] (w:1, o:73, a:1, s:1, b:1),
% 16.09/16.46 skol55 [194, 3] (w:1, o:177, a:1, s:1, b:1),
% 16.09/16.46 skol56 [195, 3] (w:1, o:178, a:1, s:1, b:1),
% 16.09/16.46 skol57 [196, 0] (w:1, o:45, a:1, s:1, b:1),
% 16.09/16.46 skol58 [197, 3] (w:1, o:179, a:1, s:1, b:1),
% 16.09/16.46 skol59 [198, 3] (w:1, o:180, a:1, s:1, b:1),
% 16.09/16.46 skol60 [199, 4] (w:1, o:200, a:1, s:1, b:1),
% 16.09/16.46 skol61 [200, 4] (w:1, o:201, a:1, s:1, b:1),
% 16.09/16.46 skol62 [201, 4] (w:1, o:202, a:1, s:1, b:1),
% 16.09/16.46 skol63 [202, 3] (w:1, o:181, a:1, s:1, b:1),
% 16.09/16.46 skol64 [203, 1] (w:1, o:74, a:1, s:1, b:1),
% 16.09/16.46 skol65 [204, 1] (w:1, o:75, a:1, s:1, b:1),
% 16.09/16.46 skol66 [205, 1] (w:1, o:76, a:1, s:1, b:1),
% 16.09/16.46 skol67 [206, 2] (w:1, o:138, a:1, s:1, b:1),
% 16.09/16.46 skol68 [207, 1] (w:1, o:77, a:1, s:1, b:1),
% 16.09/16.46 skol69 [208, 2] (w:1, o:139, a:1, s:1, b:1),
% 16.09/16.46 skol70 [209, 2] (w:1, o:140, a:1, s:1, b:1),
% 16.09/16.46 skol71 [210, 2] (w:1, o:141, a:1, s:1, b:1),
% 16.09/16.46 skol72 [211, 1] (w:1, o:78, a:1, s:1, b:1),
% 16.09/16.46 skol73 [212, 3] (w:1, o:182, a:1, s:1, b:1),
% 16.09/16.46 skol74 [213, 3] (w:1, o:183, a:1, s:1, b:1),
% 16.09/16.46 skol75 [214, 4] (w:1, o:204, a:1, s:1, b:1),
% 16.09/16.46 skol76 [215, 1] (w:1, o:79, a:1, s:1, b:1),
% 16.09/16.46 skol77 [216, 2] (w:1, o:142, a:1, s:1, b:1),
% 16.09/16.46 skol78 [217, 2] (w:1, o:143, a:1, s:1, b:1),
% 16.09/16.46 skol79 [218, 2] (w:1, o:144, a:1, s:1, b:1),
% 16.09/16.46 skol80 [219, 3] (w:1, o:184, a:1, s:1, b:1),
% 16.09/16.46 skol81 [220, 2] (w:1, o:145, a:1, s:1, b:1),
% 16.09/16.46 skol82 [221, 2] (w:1, o:146, a:1, s:1, b:1).
% 16.09/16.46
% 16.09/16.46
% 16.09/16.46 Starting Search:
% 16.09/16.46
% 16.09/16.46 *** allocated 22500 integers for clauses
% 16.09/16.46 *** allocated 33750 integers for clauses
% 16.09/16.46 *** allocated 22500 integers for termspace/termends
% 16.09/16.46 *** allocated 50625 integers for clauses
% 16.09/16.46 *** allocated 75937 integers for clauses
% 16.09/16.46 *** allocated 33750 integers for termspace/termends
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 *** allocated 113905 integers for clauses
% 16.09/16.46 *** allocated 50625 integers for termspace/termends
% 16.09/16.46
% 16.09/16.46 Intermediate Status:
% 16.09/16.46 Generated: 6640
% 16.09/16.46 Kept: 2072
% 16.09/16.46 Inuse: 90
% 16.09/16.46 Deleted: 1
% 16.09/16.46 Deletedinuse: 0
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 *** allocated 170857 integers for clauses
% 16.09/16.46 *** allocated 75937 integers for termspace/termends
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 *** allocated 256285 integers for clauses
% 16.09/16.46 *** allocated 113905 integers for termspace/termends
% 16.09/16.46
% 16.09/16.46 Intermediate Status:
% 16.09/16.46 Generated: 15934
% 16.09/16.46 Kept: 4439
% 16.09/16.46 Inuse: 158
% 16.09/16.46 Deleted: 3
% 16.09/16.46 Deletedinuse: 0
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 *** allocated 384427 integers for clauses
% 16.09/16.46 *** allocated 170857 integers for termspace/termends
% 16.09/16.46
% 16.09/16.46 Intermediate Status:
% 16.09/16.46 Generated: 30478
% 16.09/16.46 Kept: 6690
% 16.09/16.46 Inuse: 201
% 16.09/16.46 Deleted: 6
% 16.09/16.46 Deletedinuse: 1
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 *** allocated 576640 integers for clauses
% 16.09/16.46 *** allocated 256285 integers for termspace/termends
% 16.09/16.46
% 16.09/16.46 Intermediate Status:
% 16.09/16.46 Generated: 37829
% 16.09/16.46 Kept: 9039
% 16.09/16.46 Inuse: 284
% 16.09/16.46 Deleted: 11
% 16.09/16.46 Deletedinuse: 2
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 *** allocated 384427 integers for termspace/termends
% 16.09/16.46
% 16.09/16.46 Intermediate Status:
% 16.09/16.46 Generated: 77724
% 16.09/16.46 Kept: 11669
% 16.09/16.46 Inuse: 315
% 16.09/16.46 Deleted: 14
% 16.09/16.46 Deletedinuse: 3
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 *** allocated 864960 integers for clauses
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46
% 16.09/16.46 Intermediate Status:
% 16.09/16.46 Generated: 102693
% 16.09/16.46 Kept: 13914
% 16.09/16.46 Inuse: 377
% 16.09/16.46 Deleted: 17
% 16.09/16.46 Deletedinuse: 3
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 *** allocated 576640 integers for termspace/termends
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46
% 16.09/16.46 Intermediate Status:
% 16.09/16.46 Generated: 112667
% 16.09/16.46 Kept: 16092
% 16.09/16.46 Inuse: 458
% 16.09/16.46 Deleted: 22
% 16.09/16.46 Deletedinuse: 4
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46
% 16.09/16.46 Intermediate Status:
% 16.09/16.46 Generated: 121701
% 16.09/16.46 Kept: 18120
% 16.09/16.46 Inuse: 518
% 16.09/16.46 Deleted: 22
% 16.09/16.46 Deletedinuse: 4
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 *** allocated 1297440 integers for clauses
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46
% 16.09/16.46 Intermediate Status:
% 16.09/16.46 Generated: 132065
% 16.09/16.46 Kept: 20447
% 16.09/16.46 Inuse: 568
% 16.09/16.46 Deleted: 26
% 16.09/16.46 Deletedinuse: 8
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 Resimplifying clauses:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 *** allocated 864960 integers for termspace/termends
% 16.09/16.46
% 16.09/16.46 Intermediate Status:
% 16.09/16.46 Generated: 139939
% 16.09/16.46 Kept: 22636
% 16.09/16.46 Inuse: 636
% 16.09/16.46 Deleted: 657
% 16.09/16.46 Deletedinuse: 8
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46
% 16.09/16.46 Intermediate Status:
% 16.09/16.46 Generated: 151131
% 16.09/16.46 Kept: 25106
% 16.09/16.46 Inuse: 657
% 16.09/16.46 Deleted: 663
% 16.09/16.46 Deletedinuse: 14
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46
% 16.09/16.46 Intermediate Status:
% 16.09/16.46 Generated: 162910
% 16.09/16.46 Kept: 27814
% 16.09/16.46 Inuse: 672
% 16.09/16.46 Deleted: 663
% 16.09/16.46 Deletedinuse: 14
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 *** allocated 1946160 integers for clauses
% 16.09/16.46
% 16.09/16.46 Intermediate Status:
% 16.09/16.46 Generated: 181001
% 16.09/16.46 Kept: 29881
% 16.09/16.46 Inuse: 687
% 16.09/16.46 Deleted: 663
% 16.09/16.46 Deletedinuse: 14
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 *** allocated 1297440 integers for termspace/termends
% 16.09/16.46
% 16.09/16.46 Intermediate Status:
% 16.09/16.46 Generated: 211395
% 16.09/16.46 Kept: 32345
% 16.09/16.46 Inuse: 702
% 16.09/16.46 Deleted: 663
% 16.09/16.46 Deletedinuse: 14
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46
% 16.09/16.46 Intermediate Status:
% 16.09/16.46 Generated: 219607
% 16.09/16.46 Kept: 34510
% 16.09/16.46 Inuse: 757
% 16.09/16.46 Deleted: 670
% 16.09/16.46 Deletedinuse: 21
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46
% 16.09/16.46 Intermediate Status:
% 16.09/16.46 Generated: 227351
% 16.09/16.46 Kept: 36549
% 16.09/16.46 Inuse: 782
% 16.09/16.46 Deleted: 681
% 16.09/16.46 Deletedinuse: 32
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46
% 16.09/16.46 Intermediate Status:
% 16.09/16.46 Generated: 234173
% 16.09/16.46 Kept: 38707
% 16.09/16.46 Inuse: 822
% 16.09/16.46 Deleted: 690
% 16.09/16.46 Deletedinuse: 41
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46
% 16.09/16.46 Intermediate Status:
% 16.09/16.46 Generated: 242574
% 16.09/16.46 Kept: 41031
% 16.09/16.46 Inuse: 857
% 16.09/16.46 Deleted: 698
% 16.09/16.46 Deletedinuse: 49
% 16.09/16.46
% 16.09/16.46 Resimplifying clauses:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 *** allocated 2919240 integers for clauses
% 16.09/16.46
% 16.09/16.46 Intermediate Status:
% 16.09/16.46 Generated: 252405
% 16.09/16.46 Kept: 43506
% 16.09/16.46 Inuse: 892
% 16.09/16.46 Deleted: 1568
% 16.09/16.46 Deletedinuse: 57
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46
% 16.09/16.46 Intermediate Status:
% 16.09/16.46 Generated: 261639
% 16.09/16.46 Kept: 46015
% 16.09/16.46 Inuse: 921
% 16.09/16.46 Deleted: 1575
% 16.09/16.46 Deletedinuse: 63
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46
% 16.09/16.46 Intermediate Status:
% 16.09/16.46 Generated: 271158
% 16.09/16.46 Kept: 48015
% 16.09/16.46 Inuse: 939
% 16.09/16.46 Deleted: 1575
% 16.09/16.46 Deletedinuse: 63
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46 *** allocated 1946160 integers for termspace/termends
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46
% 16.09/16.46 Intermediate Status:
% 16.09/16.46 Generated: 279860
% 16.09/16.46 Kept: 50250
% 16.09/16.46 Inuse: 991
% 16.09/16.46 Deleted: 1575
% 16.09/16.46 Deletedinuse: 63
% 16.09/16.46
% 16.09/16.46 Resimplifying inuse:
% 16.09/16.46 Done
% 16.09/16.46
% 16.09/16.46
% 16.09/16.46 Bliksems!, er is een bewijs:
% 16.09/16.46 % SZS status Theorem
% 16.09/16.46 % SZS output start Refutation
% 16.09/16.46
% 16.09/16.46 (9) {G0,W7,D3,L1,V4,M1} I { ! vvar( X ) = vabs( Y, Z, T ) }.
% 16.09/16.46 (10) {G0,W6,D3,L1,V3,M1} I { ! vvar( X ) = vapp( Y, Z ) }.
% 16.09/16.46 (30) {G0,W4,D3,L1,V1,M1} I { ! vsomeType( X ) ==> vnoType }.
% 16.09/16.46 (34) {G0,W14,D3,L4,V4,M4} I { ! X = Z, ! Y = vempty, ! T = vlookup( X, Y )
% 16.09/16.46 , T = vnoType }.
% 16.09/16.46 (228) {G0,W15,D4,L2,V3,M2} I { alpha4( X, Y, Z ), vapp( skol35( X, Y, Z ),
% 16.09/16.46 skol55( X, Y, Z ) ) ==> X }.
% 16.09/16.46 (231) {G0,W12,D2,L3,V3,M3} I { ! alpha4( X, Y, Z ), alpha9( X, Y, Z ),
% 16.09/16.46 alpha16( X, Y, Z ) }.
% 16.09/16.46 (234) {G0,W19,D4,L2,V3,M2} I { ! alpha16( X, Y, Z ), vabs( skol36( X, Y, Z
% 16.09/16.46 ), skol74( X, Y, Z ), skol56( X, Y, Z ) ) ==> X }.
% 16.09/16.46 (239) {G0,W17,D4,L3,V3,M3} I { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ),
% 16.09/16.46 vlookup( skol37( X, Y, Z ), Z ) ==> vsomeType( Y ) }.
% 16.09/16.46 (244) {G0,W5,D3,L1,V0,M1} I { vtcheck( vempty, vvar( skol38 ), skol57 ) }.
% 16.09/16.46 (337) {G1,W11,D3,L3,V3,M3} Q(34) { ! X = Y, ! Z = vempty, vlookup( X, Z )
% 16.09/16.46 ==> vnoType }.
% 16.09/16.46 (340) {G2,W8,D3,L2,V2,M2} Q(337) { ! X = Y, vlookup( X, vempty ) ==>
% 16.09/16.46 vnoType }.
% 16.09/16.46 (341) {G3,W5,D3,L1,V1,M1} Q(340) { vlookup( X, vempty ) ==> vnoType }.
% 16.09/16.46 (49436) {G1,W8,D3,L2,V4,M2} P(228,10) { ! vvar( T ) = X, alpha4( X, Y, Z )
% 16.09/16.46 }.
% 16.09/16.46 (49455) {G2,W5,D3,L1,V3,M1} Q(49436) { alpha4( vvar( X ), Y, Z ) }.
% 16.09/16.46 (50217) {G1,W8,D3,L2,V4,M2} P(234,9) { ! vvar( T ) = X, ! alpha16( X, Y, Z
% 16.09/16.46 ) }.
% 16.09/16.46 (50241) {G2,W5,D3,L1,V3,M1} Q(50217) { ! alpha16( vvar( X ), Y, Z ) }.
% 16.09/16.46 (50250) {G3,W5,D3,L1,V3,M1} R(50241,231);r(49455) { alpha9( vvar( X ), Y, Z
% 16.09/16.46 ) }.
% 16.09/16.46 (51462) {G4,W4,D3,L1,V0,M1} R(239,244);d(341);r(50250) { vsomeType( skol57
% 16.09/16.46 ) ==> vnoType }.
% 16.09/16.46 (51608) {G5,W0,D0,L0,V0,M0} S(51462);r(30) { }.
% 16.09/16.46
% 16.09/16.46
% 16.09/16.46 % SZS output end Refutation
% 16.09/16.46 found a proof!
% 16.09/16.46
% 16.09/16.46
% 16.09/16.46 Unprocessed initial clauses:
% 16.09/16.46
% 16.09/16.46 (51610) {G0,W8,D3,L2,V2,M2} { ! vvar( X ) = vvar( Y ), X = Y }.
% 16.09/16.46 (51611) {G0,W8,D3,L2,V2,M2} { ! X = Y, vvar( X ) = vvar( Y ) }.
% 16.09/16.46 (51612) {G0,W12,D3,L2,V6,M2} { ! vabs( X, Y, Z ) = vabs( T, U, W ), X = T
% 16.09/16.46 }.
% 16.09/16.46 (51613) {G0,W12,D3,L2,V6,M2} { ! vabs( X, Y, Z ) = vabs( T, U, W ), Y = U
% 16.09/16.46 }.
% 16.09/16.46 (51614) {G0,W12,D3,L2,V6,M2} { ! vabs( X, Y, Z ) = vabs( T, U, W ), Z = W
% 16.09/16.46 }.
% 16.09/16.46 (51615) {G0,W18,D3,L4,V6,M4} { ! X = T, ! Y = U, ! Z = W, vabs( X, Y, Z )
% 16.09/16.46 = vabs( T, U, W ) }.
% 16.09/16.46 (51616) {G0,W10,D3,L2,V4,M2} { ! vapp( X, Y ) = vapp( Z, T ), X = Z }.
% 16.09/16.46 (51617) {G0,W10,D3,L2,V4,M2} { ! vapp( X, Y ) = vapp( Z, T ), Y = T }.
% 16.09/16.46 (51618) {G0,W13,D3,L3,V4,M3} { ! X = Z, ! Y = T, vapp( X, Y ) = vapp( Z, T
% 16.09/16.46 ) }.
% 16.09/16.46 (51619) {G0,W7,D3,L1,V4,M1} { ! vvar( X ) = vabs( Y, Z, T ) }.
% 16.09/16.46 (51620) {G0,W6,D3,L1,V3,M1} { ! vvar( X ) = vapp( Y, Z ) }.
% 16.09/16.46 (51621) {G0,W8,D3,L1,V5,M1} { ! vabs( X, Y, Z ) = vapp( T, U ) }.
% 16.09/16.46 (51622) {G0,W8,D3,L2,V4,M2} { ! X = vabs( Y, Z, T ), visValue( X ) }.
% 16.09/16.46 (51623) {G0,W6,D3,L2,V2,M2} { ! X = vvar( Y ), ! visValue( X ) }.
% 16.09/16.46 (51624) {G0,W7,D3,L2,V3,M2} { ! X = vapp( Y, Z ), ! visValue( X ) }.
% 16.09/16.46 (51625) {G0,W13,D3,L4,V4,M4} { ! X = T, ! Y = vvar( Z ), ! Z = T,
% 16.09/16.46 visFreeVar( X, Y ) }.
% 16.09/16.46 (51626) {G0,W13,D3,L4,V4,M4} { ! X = T, ! Y = vvar( Z ), ! visFreeVar( X,
% 16.09/16.46 Y ), Z = T }.
% 16.09/16.46 (51627) {G0,W18,D3,L5,V6,M5} { ! X = T, ! Y = vabs( Z, W, U ), Z = T, !
% 16.09/16.46 visFreeVar( T, U ), visFreeVar( X, Y ) }.
% 16.09/16.46 (51628) {G0,W15,D3,L4,V6,M4} { ! X = T, ! Y = vabs( Z, W, U ), !
% 16.09/16.46 visFreeVar( X, Y ), ! Z = T }.
% 16.09/16.46 (51629) {G0,W15,D3,L4,V6,M4} { ! X = T, ! Y = vabs( Z, W, U ), !
% 16.09/16.46 visFreeVar( X, Y ), visFreeVar( T, U ) }.
% 16.09/16.46 (51630) {G0,W14,D3,L4,V5,M4} { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar(
% 16.09/16.46 T, Z ), visFreeVar( X, Y ) }.
% 16.09/16.46 (51631) {G0,W14,D3,L4,V5,M4} { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar(
% 16.09/16.46 T, U ), visFreeVar( X, Y ) }.
% 16.09/16.46 (51632) {G0,W17,D3,L5,V5,M5} { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar(
% 16.09/16.46 X, Y ), visFreeVar( T, Z ), visFreeVar( T, U ) }.
% 16.09/16.46 (51633) {G0,W4,D2,L2,V0,M2} { ! &&, vempty = vempty }.
% 16.09/16.46 (51634) {G0,W12,D3,L2,V6,M2} { ! vbind( X, Y, Z ) = vbind( T, U, W ), X =
% 16.09/16.46 T }.
% 16.09/16.46 (51635) {G0,W12,D3,L2,V6,M2} { ! vbind( X, Y, Z ) = vbind( T, U, W ), Y =
% 16.09/16.46 U }.
% 16.09/16.46 (51636) {G0,W12,D3,L2,V6,M2} { ! vbind( X, Y, Z ) = vbind( T, U, W ), Z =
% 16.09/16.46 W }.
% 16.09/16.46 (51637) {G0,W18,D3,L4,V6,M4} { ! X = T, ! Y = U, ! Z = W, vbind( X, Y, Z )
% 16.09/16.46 = vbind( T, U, W ) }.
% 16.09/16.46 (51638) {G0,W4,D2,L2,V0,M2} { ! &&, vnoType = vnoType }.
% 16.09/16.46 (51639) {G0,W8,D3,L2,V2,M2} { ! vsomeType( X ) = vsomeType( Y ), X = Y }.
% 16.09/16.46 (51640) {G0,W8,D3,L2,V2,M2} { ! X = Y, vsomeType( X ) = vsomeType( Y ) }.
% 16.09/16.46 (51641) {G0,W6,D3,L1,V3,M1} { ! vempty = vbind( X, Y, Z ) }.
% 16.09/16.46 (51642) {G0,W4,D3,L1,V1,M1} { ! vnoType = vsomeType( X ) }.
% 16.09/16.46 (51643) {G0,W5,D2,L2,V1,M2} { ! X = vnoType, ! visSomeType( X ) }.
% 16.09/16.46 (51644) {G0,W6,D3,L2,V2,M2} { ! X = vsomeType( Y ), visSomeType( X ) }.
% 16.09/16.46 (51645) {G0,W11,D3,L3,V3,M3} { ! X = vsomeType( Y ), ! Z = vgetSomeType( X
% 16.09/16.46 ), Z = Y }.
% 16.09/16.46 (51646) {G0,W14,D3,L4,V4,M4} { ! X = Z, ! Y = vempty, ! T = vlookup( X, Y
% 16.09/16.46 ), T = vnoType }.
% 16.09/16.46 (51647) {G0,W21,D3,L5,V7,M5} { ! Z = X, ! T = vbind( Y, U, W ), ! X = Y, !
% 16.09/16.46 V0 = vlookup( Z, T ), V0 = vsomeType( U ) }.
% 16.09/16.46 (51648) {G0,W22,D3,L5,V7,M5} { ! Y = T, ! Z = vbind( X, W, U ), T = X, !
% 16.09/16.46 V0 = vlookup( Y, Z ), V0 = vlookup( T, U ) }.
% 16.09/16.46 (51649) {G0,W10,D3,L2,V5,M2} { alpha5( X, Y, Z ), X = skol1( X, T, U ) }.
% 16.09/16.46 (51650) {G0,W11,D3,L2,V3,M2} { alpha5( X, Y, Z ), alpha10( Y, Z, skol1( X
% 16.09/16.46 , Y, Z ) ) }.
% 16.09/16.46 (51651) {G0,W12,D4,L2,V4,M2} { ! alpha10( X, Y, Z ), Y = vlookup( Z,
% 16.09/16.46 skol39( T, Y, Z ) ) }.
% 16.09/16.46 (51652) {G0,W10,D3,L2,V3,M2} { ! alpha10( X, Y, Z ), ! Z = skol2( X, Y, Z
% 16.09/16.46 ) }.
% 16.09/16.46 (51653) {G0,W19,D4,L2,V3,M2} { ! alpha10( X, Y, Z ), X = vbind( skol2( X,
% 16.09/16.46 Y, Z ), skol58( X, Y, Z ), skol39( X, Y, Z ) ) }.
% 16.09/16.46 (51654) {G0,W18,D3,L4,V6,M4} { ! X = vbind( T, W, U ), Z = T, ! Y =
% 16.09/16.46 vlookup( Z, U ), alpha10( X, Y, Z ) }.
% 16.09/16.46 (51655) {G0,W12,D2,L3,V3,M3} { ! alpha5( X, Y, Z ), alpha11( X, Y, Z ),
% 16.09/16.46 alpha17( X, Y, Z ) }.
% 16.09/16.46 (51656) {G0,W8,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha5( X, Y, Z ) }.
% 16.09/16.46 (51657) {G0,W8,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha5( X, Y, Z ) }.
% 16.09/16.46 (51658) {G0,W10,D3,L2,V5,M2} { ! alpha17( X, Y, Z ), X = skol3( X, T, U )
% 16.09/16.46 }.
% 16.09/16.46 (51659) {G0,W11,D3,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha22( Y, Z, skol3
% 16.09/16.46 ( X, Y, Z ) ) }.
% 16.09/16.46 (51660) {G0,W11,D2,L3,V4,M3} { ! X = T, ! alpha22( Y, Z, T ), alpha17( X,
% 16.09/16.46 Y, Z ) }.
% 16.09/16.46 (51661) {G0,W11,D4,L2,V5,M2} { ! alpha22( X, Y, Z ), Y = vsomeType( skol40
% 16.09/16.46 ( T, Y, U ) ) }.
% 16.09/16.46 (51662) {G0,W10,D3,L2,V3,M2} { ! alpha22( X, Y, Z ), Z = skol4( X, Y, Z )
% 16.09/16.46 }.
% 16.09/16.46 (51663) {G0,W19,D4,L2,V3,M2} { ! alpha22( X, Y, Z ), X = vbind( skol4( X,
% 16.09/16.46 Y, Z ), skol40( X, Y, Z ), skol59( X, Y, Z ) ) }.
% 16.09/16.46 (51664) {G0,W17,D3,L4,V6,M4} { ! X = vbind( T, U, W ), ! Z = T, ! Y =
% 16.09/16.46 vsomeType( U ), alpha22( X, Y, Z ) }.
% 16.09/16.46 (51665) {G0,W12,D3,L3,V3,M3} { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z
% 16.09/16.46 , alpha1( X, Y ) }.
% 16.09/16.46 (51666) {G0,W12,D3,L3,V3,M3} { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z
% 16.09/16.46 , Z = vnoType }.
% 16.09/16.46 (51667) {G0,W9,D3,L2,V3,M2} { vlookup( X, Y ) = Z, alpha11( X, Y, Z ) }.
% 16.09/16.46 (51668) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y ), ! Z = vnoType, alpha11( X
% 16.09/16.46 , Y, Z ) }.
% 16.09/16.46 (51669) {G0,W7,D3,L2,V2,M2} { ! alpha1( X, Y ), X = skol5( X ) }.
% 16.09/16.46 (51670) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), Y = vempty }.
% 16.09/16.46 (51671) {G0,W9,D2,L3,V3,M3} { ! X = Z, ! Y = vempty, alpha1( X, Y ) }.
% 16.09/16.46 (51672) {G0,W20,D4,L3,V7,M3} { ! X = W, ! vtcheck( vbind( X, Y, vbind( W,
% 16.09/16.46 V0, Z ) ), T, U ), vtcheck( vbind( X, Y, Z ), T, U ) }.
% 16.09/16.46 (51673) {G0,W23,D4,L3,V7,M3} { Z = X, ! vtcheck( vbind( Z, T, vbind( X, Y
% 16.09/16.46 , U ) ), W, V0 ), vtcheck( vbind( X, Y, vbind( Z, T, U ) ), W, V0 ) }.
% 16.09/16.46 (51674) {G0,W7,D3,L2,V2,M2} { ! vgensym( Y ) = X, ! visFreeVar( X, Y ) }.
% 16.09/16.46 (51675) {G0,W22,D3,L6,V7,M6} { ! Z = X, ! T = W, ! U = vvar( Y ), ! X = Y
% 16.09/16.46 , ! V0 = vsubst( Z, T, U ), V0 = W }.
% 16.09/16.46 (51676) {G0,W23,D3,L6,V7,M6} { ! Y = X, ! Z = W, ! T = vvar( U ), X = U, !
% 16.09/16.46 V0 = vsubst( Y, Z, T ), V0 = vvar( U ) }.
% 16.09/16.46 (51677) {G0,W28,D4,L5,V8,M5} { ! X = U, ! Y = W, ! Z = vapp( T, V0 ), ! V1
% 16.09/16.46 = vsubst( X, Y, Z ), V1 = vapp( vsubst( U, W, T ), vsubst( U, W, V0 ) )
% 16.09/16.46 }.
% 16.09/16.46 (51678) {G0,W27,D3,L6,V9,M6} { ! Y = X, ! Z = V1, ! T = vabs( U, W, V0 ),
% 16.09/16.46 ! X = U, ! V2 = vsubst( Y, Z, T ), V2 = vabs( U, W, V0 ) }.
% 16.09/16.46 (51679) {G0,W46,D6,L8,V10,M8} { ! X = T, ! Y = U, ! Z = vabs( V0, W, V1 )
% 16.09/16.46 , T = V0, ! visFreeVar( V0, U ), ! V2 = vgensym( vapp( vapp( U, V1 ),
% 16.09/16.46 vvar( T ) ) ), ! V3 = vsubst( X, Y, Z ), V3 = vsubst( T, U, vabs( V2, W,
% 16.09/16.46 vsubst( V0, vvar( V2 ), V1 ) ) ) }.
% 16.09/16.46 (51680) {G0,W33,D4,L7,V9,M7} { ! X = W, ! Y = V0, ! Z = vabs( T, U, V1 ),
% 16.09/16.46 W = T, visFreeVar( T, V0 ), ! V2 = vsubst( X, Y, Z ), V2 = vabs( T, U,
% 16.09/16.46 vsubst( W, V0, V1 ) ) }.
% 16.09/16.46 (51681) {G0,W12,D3,L2,V7,M2} { alpha28( X, Y, Z, T ), X = skol6( X, U, W,
% 16.09/16.46 V0 ) }.
% 16.09/16.46 (51682) {G0,W14,D3,L2,V4,M2} { alpha28( X, Y, Z, T ), alpha33( Y, Z, T,
% 16.09/16.46 skol6( X, Y, Z, T ) ) }.
% 16.09/16.46 (51683) {G0,W12,D3,L2,V7,M2} { ! alpha33( X, Y, Z, T ), X = skol7( X, U, W
% 16.09/16.46 , V0 ) }.
% 16.09/16.46 (51684) {G0,W14,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T ), alpha36( Y, Z, T,
% 16.09/16.46 skol7( X, Y, Z, T ) ) }.
% 16.09/16.46 (51685) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha36( Y, Z, T, U ), alpha33(
% 16.09/16.46 X, Y, Z, T ) }.
% 16.09/16.46 (51686) {G0,W23,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T ), alpha39( X, Z,
% 16.09/16.46 skol8( X, Y, Z, T ), skol41( X, Y, Z, T ), skol60( X, Y, Z, T ) ) }.
% 16.09/16.46 (51687) {G0,W12,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T ), ! visFreeVar(
% 16.09/16.46 skol8( X, Y, Z, T ), T ) }.
% 16.09/16.46 (51688) {G0,W26,D5,L2,V4,M2} { ! alpha36( X, Y, Z, T ), Y = vabs( skol8( X
% 16.09/16.46 , Y, Z, T ), skol41( X, Y, Z, T ), vsubst( Z, T, skol60( X, Y, Z, T ) ) )
% 16.09/16.46 }.
% 16.09/16.46 (51689) {G0,W23,D4,L4,V7,M4} { ! alpha39( X, Z, U, W, V0 ), visFreeVar( U
% 16.09/16.46 , T ), ! Y = vabs( U, W, vsubst( Z, T, V0 ) ), alpha36( X, Y, Z, T ) }.
% 16.09/16.46 (51690) {G0,W12,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U ), X = vabs( Z, T
% 16.09/16.46 , U ) }.
% 16.09/16.46 (51691) {G0,W9,D2,L2,V5,M2} { ! alpha39( X, Y, Z, T, U ), ! Y = Z }.
% 16.09/16.46 (51692) {G0,W15,D3,L3,V5,M3} { ! X = vabs( Z, T, U ), Y = Z, alpha39( X, Y
% 16.09/16.46 , Z, T, U ) }.
% 16.09/16.46 (51693) {G0,W15,D2,L3,V4,M3} { ! alpha28( X, Y, Z, T ), alpha34( X, Y, Z,
% 16.09/16.46 T ), alpha37( X, Y, Z, T ) }.
% 16.09/16.46 (51694) {G0,W10,D2,L2,V4,M2} { ! alpha34( X, Y, Z, T ), alpha28( X, Y, Z,
% 16.09/16.46 T ) }.
% 16.09/16.46 (51695) {G0,W10,D2,L2,V4,M2} { ! alpha37( X, Y, Z, T ), alpha28( X, Y, Z,
% 16.09/16.46 T ) }.
% 16.09/16.46 (51696) {G0,W12,D3,L2,V7,M2} { ! alpha37( X, Y, Z, T ), X = skol9( X, U, W
% 16.09/16.46 , V0 ) }.
% 16.09/16.46 (51697) {G0,W14,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T ), alpha40( Y, Z, T,
% 16.09/16.46 skol9( X, Y, Z, T ) ) }.
% 16.09/16.46 (51698) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha40( Y, Z, T, U ), alpha37(
% 16.09/16.46 X, Y, Z, T ) }.
% 16.09/16.46 (51699) {G0,W12,D3,L2,V7,M2} { ! alpha40( X, Y, Z, T ), X = skol10( X, U,
% 16.09/16.46 W, V0 ) }.
% 16.09/16.46 (51700) {G0,W14,D3,L2,V4,M2} { ! alpha40( X, Y, Z, T ), alpha42( Y, Z, T,
% 16.09/16.46 skol10( X, Y, Z, T ) ) }.
% 16.09/16.46 (51701) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha42( Y, Z, T, U ), alpha40(
% 16.09/16.46 X, Y, Z, T ) }.
% 16.09/16.46 (51702) {G0,W24,D3,L2,V4,M2} { ! alpha42( X, Y, Z, T ), alpha48( X, Z, T,
% 16.09/16.46 skol11( X, Y, Z, T ), skol42( X, Y, Z, T ), skol61( X, Y, Z, T ) ) }.
% 16.09/16.46 (51703) {G0,W22,D6,L2,V4,M2} { ! alpha42( X, Y, Z, T ), skol75( X, Y, Z, T
% 16.09/16.46 ) = vgensym( vapp( vapp( T, skol61( X, Y, Z, T ) ), vvar( Z ) ) ) }.
% 16.09/16.46 (51704) {G0,W38,D7,L2,V4,M2} { ! alpha42( X, Y, Z, T ), Y = vsubst( Z, T,
% 16.09/16.46 vabs( skol75( X, Y, Z, T ), skol11( X, Y, Z, T ), vsubst( skol42( X, Y, Z
% 16.09/16.46 , T ), vvar( skol75( X, Y, Z, T ) ), skol61( X, Y, Z, T ) ) ) ) }.
% 16.09/16.46 (51705) {G0,W34,D6,L4,V8,M4} { ! alpha48( X, Z, T, U, W, V0 ), ! V1 =
% 16.09/16.46 vgensym( vapp( vapp( T, V0 ), vvar( Z ) ) ), ! Y = vsubst( Z, T, vabs( V1
% 16.09/16.46 , U, vsubst( W, vvar( V1 ), V0 ) ) ), alpha42( X, Y, Z, T ) }.
% 16.09/16.46 (51706) {G0,W13,D2,L2,V6,M2} { ! alpha48( X, Y, Z, T, U, W ), alpha45( X,
% 16.09/16.46 Y, T, U, W ) }.
% 16.09/16.46 (51707) {G0,W10,D2,L2,V6,M2} { ! alpha48( X, Y, Z, T, U, W ), visFreeVar(
% 16.09/16.46 U, Z ) }.
% 16.09/16.46 (51708) {G0,W16,D2,L3,V6,M3} { ! alpha45( X, Y, T, U, W ), ! visFreeVar( U
% 16.09/16.46 , Z ), alpha48( X, Y, Z, T, U, W ) }.
% 16.09/16.46 (51709) {G0,W12,D3,L2,V5,M2} { ! alpha45( X, Y, Z, T, U ), X = vabs( T, Z
% 16.09/16.46 , U ) }.
% 16.09/16.46 (51710) {G0,W9,D2,L2,V5,M2} { ! alpha45( X, Y, Z, T, U ), ! Y = T }.
% 16.09/16.46 (51711) {G0,W15,D3,L3,V5,M3} { ! X = vabs( T, Z, U ), Y = T, alpha45( X, Y
% 16.09/16.46 , Z, T, U ) }.
% 16.09/16.46 (51712) {G0,W18,D3,L3,V6,M3} { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z,
% 16.09/16.46 T ), alpha23( Z, T, skol12( U, W, Z, T ) ) }.
% 16.09/16.46 (51713) {G0,W18,D3,L3,V4,M3} { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z,
% 16.09/16.46 T ), alpha18( X, Y, skol12( X, Y, Z, T ) ) }.
% 16.09/16.46 (51714) {G0,W10,D2,L2,V4,M2} { ! alpha38( X, Y, Z, T ), alpha34( X, Y, Z,
% 16.09/16.46 T ) }.
% 16.09/16.46 (51715) {G0,W13,D2,L3,V5,M3} { ! alpha18( X, Y, U ), ! alpha23( Z, T, U )
% 16.09/16.46 , alpha34( X, Y, Z, T ) }.
% 16.09/16.46 (51716) {G0,W15,D2,L3,V4,M3} { ! alpha38( X, Y, Z, T ), alpha41( X, Y, Z,
% 16.09/16.46 T ), alpha43( X, Y, Z, T ) }.
% 16.09/16.46 (51717) {G0,W10,D2,L2,V4,M2} { ! alpha41( X, Y, Z, T ), alpha38( X, Y, Z,
% 16.09/16.46 T ) }.
% 16.09/16.46 (51718) {G0,W10,D2,L2,V4,M2} { ! alpha43( X, Y, Z, T ), alpha38( X, Y, Z,
% 16.09/16.46 T ) }.
% 16.09/16.46 (51719) {G0,W12,D3,L2,V7,M2} { ! alpha43( X, Y, Z, T ), X = skol13( X, U,
% 16.09/16.46 W, V0 ) }.
% 16.09/16.46 (51720) {G0,W14,D3,L2,V4,M2} { ! alpha43( X, Y, Z, T ), alpha46( Y, Z, T,
% 16.09/16.46 skol13( X, Y, Z, T ) ) }.
% 16.09/16.46 (51721) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha46( Y, Z, T, U ), alpha43(
% 16.09/16.46 X, Y, Z, T ) }.
% 16.09/16.46 (51722) {G0,W12,D3,L2,V7,M2} { ! alpha46( X, Y, Z, T ), X = skol14( X, U,
% 16.09/16.46 W, V0 ) }.
% 16.09/16.46 (51723) {G0,W18,D4,L2,V4,M2} { ! alpha46( X, Y, Z, T ), Y = vapp( skol43(
% 16.09/16.46 X, Y, Z, T ), skol62( X, Y, Z, T ) ) }.
% 16.09/16.46 (51724) {G0,W32,D5,L2,V4,M2} { ! alpha46( X, Y, Z, T ), Z = vapp( vsubst(
% 16.09/16.46 T, skol14( X, Y, Z, T ), skol43( X, Y, Z, T ) ), vsubst( T, skol14( X, Y
% 16.09/16.46 , Z, T ), skol62( X, Y, Z, T ) ) ) }.
% 16.09/16.46 (51725) {G0,W24,D4,L4,V7,M4} { ! X = U, ! Y = vapp( W, V0 ), ! Z = vapp(
% 16.09/16.46 vsubst( T, U, W ), vsubst( T, U, V0 ) ), alpha46( X, Y, Z, T ) }.
% 16.09/16.46 (51726) {G0,W18,D3,L3,V6,M3} { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z,
% 16.09/16.46 T ), alpha12( Z, T, skol15( U, W, Z, T ) ) }.
% 16.09/16.46 (51727) {G0,W18,D3,L3,V4,M3} { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z,
% 16.09/16.46 T ), alpha6( X, Y, skol15( X, Y, Z, T ) ) }.
% 16.09/16.46 (51728) {G0,W10,D2,L2,V4,M2} { ! alpha44( X, Y, Z, T ), alpha41( X, Y, Z,
% 16.09/16.46 T ) }.
% 16.09/16.46 (51729) {G0,W13,D2,L3,V5,M3} { ! alpha6( X, Y, U ), ! alpha12( Z, T, U ),
% 16.09/16.46 alpha41( X, Y, Z, T ) }.
% 16.09/16.46 (51730) {G0,W16,D3,L3,V4,M3} { ! alpha44( X, Y, Z, T ), ! vsubst( X, Y, Z
% 16.09/16.46 ) = T, alpha47( X, Y, Z, T ) }.
% 16.09/16.46 (51731) {G0,W11,D3,L2,V4,M2} { vsubst( X, Y, Z ) = T, alpha44( X, Y, Z, T
% 16.09/16.46 ) }.
% 16.09/16.46 (51732) {G0,W10,D2,L2,V4,M2} { ! alpha47( X, Y, Z, T ), alpha44( X, Y, Z,
% 16.09/16.46 T ) }.
% 16.09/16.46 (51733) {G0,W12,D3,L2,V7,M2} { ! alpha47( X, Y, Z, T ), X = skol16( X, U,
% 16.09/16.46 W, V0 ) }.
% 16.09/16.46 (51734) {G0,W14,D3,L2,V4,M2} { ! alpha47( X, Y, Z, T ), alpha49( Y, Z, T,
% 16.09/16.46 skol16( X, Y, Z, T ) ) }.
% 16.09/16.46 (51735) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha49( Y, Z, T, U ), alpha47(
% 16.09/16.46 X, Y, Z, T ) }.
% 16.09/16.46 (51736) {G0,W12,D3,L2,V7,M2} { ! alpha49( X, Y, Z, T ), X = skol17( X, U,
% 16.09/16.46 W, V0 ) }.
% 16.09/16.46 (51737) {G0,W13,D3,L2,V6,M2} { ! alpha49( X, Y, Z, T ), alpha2( Y, T,
% 16.09/16.46 skol44( U, Y, W, T ) ) }.
% 16.09/16.46 (51738) {G0,W12,D3,L2,V4,M2} { ! alpha49( X, Y, Z, T ), Z = skol17( X, Y,
% 16.09/16.46 Z, T ) }.
% 16.09/16.46 (51739) {G0,W15,D2,L4,V6,M4} { ! X = U, ! alpha2( Y, T, W ), ! Z = U,
% 16.09/16.46 alpha49( X, Y, Z, T ) }.
% 16.09/16.46 (51740) {G0,W19,D4,L2,V3,M2} { ! alpha23( X, Y, Z ), X = vabs( skol18( X,
% 16.09/16.46 Y, Z ), skol45( X, Y, Z ), skol63( X, Y, Z ) ) }.
% 16.09/16.46 (51741) {G0,W10,D3,L2,V3,M2} { ! alpha23( X, Y, Z ), Z = skol18( X, Y, Z )
% 16.09/16.46 }.
% 16.09/16.46 (51742) {G0,W19,D4,L2,V3,M2} { ! alpha23( X, Y, Z ), Y = vabs( skol18( X,
% 16.09/16.46 Y, Z ), skol45( X, Y, Z ), skol63( X, Y, Z ) ) }.
% 16.09/16.46 (51743) {G0,W19,D3,L4,V6,M4} { ! X = vabs( T, U, W ), ! Z = T, ! Y = vabs
% 16.09/16.46 ( T, U, W ), alpha23( X, Y, Z ) }.
% 16.09/16.46 (51744) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), X = Z }.
% 16.09/16.46 (51745) {G0,W8,D3,L2,V3,M2} { ! alpha18( X, Y, Z ), Y = skol19( Y ) }.
% 16.09/16.46 (51746) {G0,W10,D2,L3,V4,M3} { ! X = Z, ! Y = T, alpha18( X, Y, Z ) }.
% 16.09/16.46 (51747) {G0,W10,D3,L2,V5,M2} { ! alpha12( X, Y, Z ), ! Z = skol20( T, U, Z
% 16.09/16.46 ) }.
% 16.09/16.46 (51748) {G0,W11,D4,L2,V4,M2} { ! alpha12( X, Y, Z ), Y = vvar( skol20( T,
% 16.09/16.46 Y, Z ) ) }.
% 16.09/16.46 (51749) {G0,W11,D4,L2,V3,M2} { ! alpha12( X, Y, Z ), X = vvar( skol20( X,
% 16.09/16.46 Y, Z ) ) }.
% 16.09/16.46 (51750) {G0,W15,D3,L4,V4,M4} { ! X = vvar( T ), Z = T, ! Y = vvar( T ),
% 16.09/16.46 alpha12( X, Y, Z ) }.
% 16.09/16.46 (51751) {G0,W7,D2,L2,V3,M2} { ! alpha6( X, Y, Z ), X = Z }.
% 16.09/16.46 (51752) {G0,W8,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), Y = skol21( Y ) }.
% 16.09/16.46 (51753) {G0,W10,D2,L3,V4,M3} { ! X = Z, ! Y = T, alpha6( X, Y, Z ) }.
% 16.09/16.46 (51754) {G0,W8,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), X = vvar( Z ) }.
% 16.09/16.46 (51755) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), Y = Z }.
% 16.09/16.46 (51756) {G0,W11,D3,L3,V3,M3} { ! X = vvar( Z ), ! Y = Z, alpha2( X, Y, Z )
% 16.09/16.46 }.
% 16.09/16.46 (51757) {G0,W4,D2,L2,V0,M2} { ! &&, vnoExp = vnoExp }.
% 16.09/16.46 (51758) {G0,W8,D3,L2,V2,M2} { ! vsomeExp( X ) = vsomeExp( Y ), X = Y }.
% 16.09/16.46 (51759) {G0,W8,D3,L2,V2,M2} { ! X = Y, vsomeExp( X ) = vsomeExp( Y ) }.
% 16.09/16.46 (51760) {G0,W4,D3,L1,V1,M1} { ! vnoExp = vsomeExp( X ) }.
% 16.09/16.46 (51761) {G0,W5,D2,L2,V1,M2} { ! X = vnoExp, ! visSomeExp( X ) }.
% 16.09/16.46 (51762) {G0,W6,D3,L2,V2,M2} { ! X = vsomeExp( Y ), visSomeExp( X ) }.
% 16.09/16.46 (51763) {G0,W11,D3,L3,V3,M3} { ! X = vsomeExp( Y ), ! Z = vgetSomeExp( X )
% 16.09/16.46 , Z = Y }.
% 16.09/16.46 (51764) {G0,W11,D3,L3,V3,M3} { ! X = vvar( Y ), ! Z = vreduce( X ), Z =
% 16.09/16.46 vnoExp }.
% 16.09/16.46 (51765) {G0,W13,D3,L3,V5,M3} { ! X = vabs( Y, Z, T ), ! U = vreduce( X ),
% 16.09/16.46 U = vnoExp }.
% 16.09/16.46 (51766) {G0,W28,D5,L5,V7,M5} { ! Y = vapp( vabs( Z, T, U ), X ), ! W =
% 16.09/16.46 vreduce( X ), ! visSomeExp( W ), ! V0 = vreduce( Y ), V0 = vsomeExp( vapp
% 16.09/16.46 ( vabs( Z, T, U ), vgetSomeExp( W ) ) ) }.
% 16.09/16.46 (51767) {G0,W27,D4,L6,V7,M6} { ! X = vapp( vabs( Y, U, T ), Z ), ! W =
% 16.09/16.46 vreduce( Z ), visSomeExp( W ), ! visValue( Z ), ! V0 = vreduce( X ), V0 =
% 16.09/16.46 vsomeExp( vsubst( Y, Z, T ) ) }.
% 16.09/16.46 (51768) {G0,W23,D4,L6,V7,M6} { ! Y = vapp( vabs( Z, T, U ), X ), ! W =
% 16.09/16.46 vreduce( X ), visSomeExp( W ), visValue( X ), ! V0 = vreduce( Y ), V0 =
% 16.09/16.46 vnoExp }.
% 16.09/16.46 (51769) {G0,W31,D5,L6,V5,M6} { ! Y = vapp( X, Z ), X = vabs( skol22( X ),
% 16.09/16.46 skol46( X ), skol64( X ) ), ! T = vreduce( X ), ! visSomeExp( T ), ! U =
% 16.09/16.46 vreduce( Y ), U = vsomeExp( vapp( vgetSomeExp( T ), Z ) ) }.
% 16.09/16.46 (51770) {G0,W27,D4,L6,V5,M6} { ! Y = vapp( X, Z ), X = vabs( skol23( X ),
% 16.09/16.46 skol47( X ), skol65( X ) ), ! T = vreduce( X ), visSomeExp( T ), ! U =
% 16.09/16.46 vreduce( Y ), U = vnoExp }.
% 16.09/16.46 (51771) {G0,W8,D3,L2,V3,M2} { alpha3( X, Y ), alpha13( Y, skol24( Z, Y ) )
% 16.09/16.46 }.
% 16.09/16.46 (51772) {G0,W8,D3,L2,V2,M2} { alpha3( X, Y ), alpha7( X, skol24( X, Y ) )
% 16.09/16.46 }.
% 16.09/16.46 (51773) {G0,W7,D3,L2,V4,M2} { ! alpha13( X, Y ), ! visSomeExp( skol25( Z,
% 16.09/16.46 T ) ) }.
% 16.09/16.46 (51774) {G0,W9,D3,L2,V3,M2} { ! alpha13( X, Y ), skol25( Z, Y ) = vreduce
% 16.09/16.46 ( Y ) }.
% 16.09/16.46 (51775) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), X = vnoExp }.
% 16.09/16.46 (51776) {G0,W12,D3,L4,V3,M4} { ! Z = vreduce( Y ), visSomeExp( Z ), ! X =
% 16.09/16.46 vnoExp, alpha13( X, Y ) }.
% 16.09/16.46 (51777) {G0,W10,D4,L2,V2,M2} { ! alpha7( X, Y ), X = vapp( Y, skol26( X, Y
% 16.09/16.46 ) ) }.
% 16.09/16.46 (51778) {G0,W9,D3,L2,V5,M2} { ! alpha7( X, Y ), ! Y = vabs( Z, T, U ) }.
% 16.09/16.46 (51779) {G0,W17,D4,L3,V3,M3} { ! X = vapp( Y, Z ), Y = vabs( skol48( Y ),
% 16.09/16.46 skol66( Y ), skol76( Y ) ), alpha7( X, Y ) }.
% 16.09/16.46 (51780) {G0,W9,D2,L3,V2,M3} { ! alpha3( X, Y ), alpha8( X, Y ), alpha14( X
% 16.09/16.46 , Y ) }.
% 16.09/16.46 (51781) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ), alpha3( X, Y ) }.
% 16.09/16.46 (51782) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), alpha3( X, Y ) }.
% 16.09/16.46 (51783) {G0,W11,D3,L2,V2,M2} { ! alpha14( X, Y ), alpha24( X, skol27( X, Y
% 16.09/16.46 ), skol49( X, Y ) ) }.
% 16.09/16.46 (51784) {G0,W10,D3,L2,V2,M2} { ! alpha14( X, Y ), alpha19( skol27( X, Y )
% 16.09/16.46 , skol67( X, Y ) ) }.
% 16.09/16.46 (51785) {G0,W14,D6,L2,V2,M2} { ! alpha14( X, Y ), Y = vsomeExp( vapp(
% 16.09/16.46 vgetSomeExp( skol67( X, Y ) ), skol49( X, Y ) ) ) }.
% 16.09/16.46 (51786) {G0,W17,D5,L4,V5,M4} { ! alpha24( X, Z, T ), ! alpha19( Z, U ), !
% 16.09/16.46 Y = vsomeExp( vapp( vgetSomeExp( U ), T ) ), alpha14( X, Y ) }.
% 16.09/16.46 (51787) {G0,W9,D3,L2,V3,M2} { ! alpha24( X, Y, Z ), X = vapp( Y, Z ) }.
% 16.09/16.46 (51788) {G0,W10,D3,L2,V6,M2} { ! alpha24( X, Y, Z ), ! Y = vabs( T, U, W )
% 16.09/16.46 }.
% 16.09/16.46 (51789) {G0,W18,D4,L3,V3,M3} { ! X = vapp( Y, Z ), Y = vabs( skol28( Y ),
% 16.09/16.46 skol50( Y ), skol68( Y ) ), alpha24( X, Y, Z ) }.
% 16.09/16.46 (51790) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), Y = vreduce( X ) }.
% 16.09/16.46 (51791) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), visSomeExp( Y ) }.
% 16.09/16.46 (51792) {G0,W9,D3,L3,V2,M3} { ! Y = vreduce( X ), ! visSomeExp( Y ),
% 16.09/16.46 alpha19( X, Y ) }.
% 16.09/16.46 (51793) {G0,W9,D2,L3,V2,M3} { ! alpha8( X, Y ), alpha15( X, Y ), alpha20(
% 16.09/16.46 X, Y ) }.
% 16.09/16.46 (51794) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), alpha8( X, Y ) }.
% 16.09/16.46 (51795) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), alpha8( X, Y ) }.
% 16.09/16.46 (51796) {G0,W8,D3,L2,V3,M2} { ! alpha20( X, Y ), alpha25( Y, skol29( Z, Y
% 16.09/16.46 ) ) }.
% 16.09/16.46 (51797) {G0,W19,D5,L2,V2,M2} { ! alpha20( X, Y ), X = vapp( vabs( skol51(
% 16.09/16.46 X, Y ), skol69( X, Y ), skol77( X, Y ) ), skol29( X, Y ) ) }.
% 16.09/16.46 (51798) {G0,W14,D4,L3,V6,M3} { ! X = vapp( vabs( T, U, W ), Z ), ! alpha25
% 16.09/16.46 ( Y, Z ), alpha20( X, Y ) }.
% 16.09/16.46 (51799) {G0,W8,D3,L2,V3,M2} { ! alpha25( X, Y ), alpha29( Y, skol30( Z, Y
% 16.09/16.46 ) ) }.
% 16.09/16.46 (51800) {G0,W6,D2,L2,V2,M2} { ! alpha25( X, Y ), X = vnoExp }.
% 16.09/16.46 (51801) {G0,W9,D2,L3,V3,M3} { ! alpha29( Y, Z ), ! X = vnoExp, alpha25( X
% 16.09/16.46 , Y ) }.
% 16.09/16.46 (51802) {G0,W7,D3,L2,V2,M2} { ! alpha29( X, Y ), Y = vreduce( X ) }.
% 16.09/16.46 (51803) {G0,W5,D2,L2,V2,M2} { ! alpha29( X, Y ), ! visSomeExp( Y ) }.
% 16.09/16.46 (51804) {G0,W5,D2,L2,V2,M2} { ! alpha29( X, Y ), ! visValue( X ) }.
% 16.09/16.46 (51805) {G0,W11,D3,L4,V2,M4} { ! Y = vreduce( X ), visSomeExp( Y ),
% 16.09/16.46 visValue( X ), alpha29( X, Y ) }.
% 16.09/16.46 (51806) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), alpha21( X, Y ), alpha26
% 16.09/16.46 ( X, Y ) }.
% 16.09/16.46 (51807) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), alpha15( X, Y ) }.
% 16.09/16.46 (51808) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), alpha15( X, Y ) }.
% 16.09/16.46 (51809) {G0,W19,D5,L2,V2,M2} { ! alpha26( X, Y ), X = vapp( vabs( skol31(
% 16.09/16.46 X, Y ), skol78( X, Y ), skol70( X, Y ) ), skol52( X, Y ) ) }.
% 16.09/16.46 (51810) {G0,W10,D3,L2,V2,M2} { ! alpha26( X, Y ), alpha30( skol52( X, Y )
% 16.09/16.46 , skol81( X, Y ) ) }.
% 16.09/16.46 (51811) {G0,W16,D5,L2,V2,M2} { ! alpha26( X, Y ), Y = vsomeExp( vsubst(
% 16.09/16.46 skol31( X, Y ), skol52( X, Y ), skol70( X, Y ) ) ) }.
% 16.09/16.46 (51812) {G0,W21,D4,L4,V7,M4} { ! X = vapp( vabs( Z, W, U ), T ), ! alpha30
% 16.09/16.46 ( T, V0 ), ! Y = vsomeExp( vsubst( Z, T, U ) ), alpha26( X, Y ) }.
% 16.09/16.46 (51813) {G0,W7,D3,L2,V2,M2} { ! alpha30( X, Y ), Y = vreduce( X ) }.
% 16.09/16.46 (51814) {G0,W5,D2,L2,V2,M2} { ! alpha30( X, Y ), ! visSomeExp( Y ) }.
% 16.09/16.46 (51815) {G0,W5,D2,L2,V2,M2} { ! alpha30( X, Y ), visValue( X ) }.
% 16.09/16.46 (51816) {G0,W11,D3,L4,V2,M4} { ! Y = vreduce( X ), visSomeExp( Y ), !
% 16.09/16.46 visValue( X ), alpha30( X, Y ) }.
% 16.09/16.46 (51817) {G0,W9,D2,L3,V2,M3} { ! alpha21( X, Y ), alpha27( X, Y ), alpha31
% 16.09/16.46 ( X, Y ) }.
% 16.09/16.46 (51818) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), alpha21( X, Y ) }.
% 16.09/16.46 (51819) {G0,W6,D2,L2,V2,M2} { ! alpha31( X, Y ), alpha21( X, Y ) }.
% 16.09/16.46 (51820) {G0,W19,D5,L2,V2,M2} { ! alpha31( X, Y ), X = vapp( vabs( skol53(
% 16.09/16.46 X, Y ), skol71( X, Y ), skol79( X, Y ) ), skol32( X, Y ) ) }.
% 16.09/16.46 (51821) {G0,W10,D3,L2,V2,M2} { ! alpha31( X, Y ), alpha35( skol32( X, Y )
% 16.09/16.46 , skol82( X, Y ) ) }.
% 16.09/16.46 (51822) {G0,W21,D6,L2,V2,M2} { ! alpha31( X, Y ), Y = vsomeExp( vapp( vabs
% 16.09/16.46 ( skol53( X, Y ), skol71( X, Y ), skol79( X, Y ) ), vgetSomeExp( skol82(
% 16.09/16.46 X, Y ) ) ) ) }.
% 16.09/16.46 (51823) {G0,W24,D5,L4,V7,M4} { ! X = vapp( vabs( T, U, W ), Z ), ! alpha35
% 16.09/16.46 ( Z, V0 ), ! Y = vsomeExp( vapp( vabs( T, U, W ), vgetSomeExp( V0 ) ) ),
% 16.09/16.46 alpha31( X, Y ) }.
% 16.09/16.46 (51824) {G0,W7,D3,L2,V2,M2} { ! alpha35( X, Y ), Y = vreduce( X ) }.
% 16.09/16.46 (51825) {G0,W5,D2,L2,V2,M2} { ! alpha35( X, Y ), visSomeExp( Y ) }.
% 16.09/16.46 (51826) {G0,W9,D3,L3,V2,M3} { ! Y = vreduce( X ), ! visSomeExp( Y ),
% 16.09/16.46 alpha35( X, Y ) }.
% 16.09/16.46 (51827) {G0,W15,D4,L3,V2,M3} { ! alpha27( X, Y ), alpha32( X, Y ), X =
% 16.09/16.46 vabs( skol33( X ), skol54( X ), skol72( X ) ) }.
% 16.09/16.46 (51828) {G0,W9,D2,L3,V2,M3} { ! alpha27( X, Y ), alpha32( X, Y ), Y =
% 16.09/16.46 vnoExp }.
% 16.09/16.46 (51829) {G0,W6,D2,L2,V2,M2} { ! alpha32( X, Y ), alpha27( X, Y ) }.
% 16.09/16.46 (51830) {G0,W12,D3,L3,V5,M3} { ! X = vabs( Z, T, U ), ! Y = vnoExp,
% 16.09/16.46 alpha27( X, Y ) }.
% 16.09/16.46 (51831) {G0,W12,D4,L3,V2,M3} { ! alpha32( X, Y ), ! vreduce( X ) = Y, X =
% 16.09/16.46 vvar( skol34( X ) ) }.
% 16.09/16.46 (51832) {G0,W10,D3,L3,V2,M3} { ! alpha32( X, Y ), ! vreduce( X ) = Y, Y =
% 16.09/16.46 vnoExp }.
% 16.09/16.46 (51833) {G0,W7,D3,L2,V2,M2} { vreduce( X ) = Y, alpha32( X, Y ) }.
% 16.09/16.46 (51834) {G0,W10,D3,L3,V3,M3} { ! X = vvar( Z ), ! Y = vnoExp, alpha32( X,
% 16.09/16.46 Y ) }.
% 16.09/16.46 (51835) {G0,W10,D3,L2,V4,M2} { ! varrow( X, Y ) = varrow( Z, T ), X = Z
% 16.09/16.46 }.
% 16.09/16.46 (51836) {G0,W10,D3,L2,V4,M2} { ! varrow( X, Y ) = varrow( Z, T ), Y = T
% 16.09/16.46 }.
% 16.09/16.46 (51837) {G0,W13,D3,L3,V4,M3} { ! X = Z, ! Y = T, varrow( X, Y ) = varrow(
% 16.09/16.46 Z, T ) }.
% 16.09/16.46 (51838) {G0,W11,D3,L2,V3,M2} { ! vlookup( Y, X ) = vsomeType( Z ), vtcheck
% 16.09/16.46 ( X, vvar( Y ), Z ) }.
% 16.09/16.46 (51839) {G0,W16,D3,L2,V5,M2} { ! vtcheck( vbind( Y, T, X ), Z, U ),
% 16.09/16.46 vtcheck( X, vabs( Y, T, Z ), varrow( T, U ) ) }.
% 16.09/16.46 (51840) {G0,W16,D3,L3,V5,M3} { ! vtcheck( X, Y, varrow( U, T ) ), !
% 16.09/16.46 vtcheck( X, Z, U ), vtcheck( X, vapp( Y, Z ), T ) }.
% 16.09/16.46 (51841) {G0,W15,D4,L2,V3,M2} { alpha4( X, Y, Z ), X = vapp( skol35( X, Y,
% 16.09/16.46 Z ), skol55( X, Y, Z ) ) }.
% 16.09/16.46 (51842) {G0,W16,D4,L2,V3,M2} { alpha4( X, Y, Z ), vtcheck( Z, skol35( X, Y
% 16.09/16.46 , Z ), varrow( skol73( X, Y, Z ), Y ) ) }.
% 16.09/16.46 (51843) {G0,W14,D3,L2,V3,M2} { alpha4( X, Y, Z ), vtcheck( Z, skol55( X, Y
% 16.09/16.46 , Z ), skol73( X, Y, Z ) ) }.
% 16.09/16.46 (51844) {G0,W12,D2,L3,V3,M3} { ! alpha4( X, Y, Z ), alpha9( X, Y, Z ),
% 16.09/16.46 alpha16( X, Y, Z ) }.
% 16.09/16.46 (51845) {G0,W8,D2,L2,V3,M2} { ! alpha9( X, Y, Z ), alpha4( X, Y, Z ) }.
% 16.09/16.46 (51846) {G0,W8,D2,L2,V3,M2} { ! alpha16( X, Y, Z ), alpha4( X, Y, Z ) }.
% 16.09/16.46 (51847) {G0,W19,D4,L2,V3,M2} { ! alpha16( X, Y, Z ), X = vabs( skol36( X,
% 16.09/16.46 Y, Z ), skol74( X, Y, Z ), skol56( X, Y, Z ) ) }.
% 16.09/16.46 (51848) {G0,W15,D4,L2,V3,M2} { ! alpha16( X, Y, Z ), Y = varrow( skol74( X
% 16.09/16.46 , Y, Z ), skol80( X, Y, Z ) ) }.
% 16.09/16.46 (51849) {G0,W23,D4,L2,V3,M2} { ! alpha16( X, Y, Z ), vtcheck( vbind(
% 16.09/16.46 skol36( X, Y, Z ), skol74( X, Y, Z ), Z ), skol56( X, Y, Z ), skol80( X,
% 16.09/16.46 Y, Z ) ) }.
% 16.09/16.46 (51850) {G0,W22,D3,L4,V7,M4} { ! X = vabs( T, W, U ), ! Y = varrow( W, V0
% 16.09/16.46 ), ! vtcheck( vbind( T, W, Z ), U, V0 ), alpha16( X, Y, Z ) }.
% 16.09/16.46 (51851) {G0,W15,D4,L3,V5,M3} { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ),
% 16.09/16.46 X = vvar( skol37( X, T, U ) ) }.
% 16.09/16.46 (51852) {G0,W17,D4,L3,V3,M3} { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ),
% 16.09/16.46 vlookup( skol37( X, Y, Z ), Z ) = vsomeType( Y ) }.
% 16.09/16.46 (51853) {G0,W8,D2,L2,V3,M2} { vtcheck( Z, X, Y ), alpha9( X, Y, Z ) }.
% 16.09/16.46 (51854) {G0,W14,D3,L3,V4,M3} { ! X = vvar( T ), ! vlookup( T, Z ) =
% 16.09/16.46 vsomeType( Y ), alpha9( X, Y, Z ) }.
% 16.09/16.46 (51855) {G0,W16,D3,L3,V5,M3} { ! vlookup( X, Y ) = vnoType, ! vtcheck( Y,
% 16.09/16.46 Z, T ), vtcheck( vbind( X, U, Y ), Z, T ) }.
% 16.09/16.46 (51856) {G0,W14,D3,L3,V5,M3} { visFreeVar( T, Y ), ! vtcheck( vbind( T, U
% 16.09/16.46 , X ), Y, Z ), vtcheck( X, Y, Z ) }.
% 16.09/16.46 (51857) {G0,W5,D3,L1,V0,M1} { vtcheck( vempty, vvar( skol38 ), skol57 )
% 17.16/17.57 }.
% 17.16/17.57 (51858) {G0,W3,D3,L1,V0,M1} { ! visValue( vvar( skol38 ) ) }.
% 17.16/17.57 (51859) {G0,W6,D4,L1,V1,M1} { ! vreduce( vvar( skol38 ) ) = vsomeExp( X )
% 17.16/17.57 }.
% 17.16/17.57
% 17.16/17.57
% 17.16/17.57 Total Proof:
% 17.16/17.57
% 17.16/17.57 subsumption: (9) {G0,W7,D3,L1,V4,M1} I { ! vvar( X ) = vabs( Y, Z, T ) }.
% 17.16/17.57 parent0: (51619) {G0,W7,D3,L1,V4,M1} { ! vvar( X ) = vabs( Y, Z, T ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 T := T
% 17.16/17.57 end
% 17.16/17.57 permutation0:
% 17.16/17.57 0 ==> 0
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 subsumption: (10) {G0,W6,D3,L1,V3,M1} I { ! vvar( X ) = vapp( Y, Z ) }.
% 17.16/17.57 parent0: (51620) {G0,W6,D3,L1,V3,M1} { ! vvar( X ) = vapp( Y, Z ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 end
% 17.16/17.57 permutation0:
% 17.16/17.57 0 ==> 0
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 eqswap: (52191) {G0,W4,D3,L1,V1,M1} { ! vsomeType( X ) = vnoType }.
% 17.16/17.57 parent0[0]: (51642) {G0,W4,D3,L1,V1,M1} { ! vnoType = vsomeType( X ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 subsumption: (30) {G0,W4,D3,L1,V1,M1} I { ! vsomeType( X ) ==> vnoType }.
% 17.16/17.57 parent0: (52191) {G0,W4,D3,L1,V1,M1} { ! vsomeType( X ) = vnoType }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 end
% 17.16/17.57 permutation0:
% 17.16/17.57 0 ==> 0
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 subsumption: (34) {G0,W14,D3,L4,V4,M4} I { ! X = Z, ! Y = vempty, ! T =
% 17.16/17.57 vlookup( X, Y ), T = vnoType }.
% 17.16/17.57 parent0: (51646) {G0,W14,D3,L4,V4,M4} { ! X = Z, ! Y = vempty, ! T =
% 17.16/17.57 vlookup( X, Y ), T = vnoType }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 T := T
% 17.16/17.57 end
% 17.16/17.57 permutation0:
% 17.16/17.57 0 ==> 0
% 17.16/17.57 1 ==> 1
% 17.16/17.57 2 ==> 2
% 17.16/17.57 3 ==> 3
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 *** allocated 15000 integers for justifications
% 17.16/17.57 *** allocated 22500 integers for justifications
% 17.16/17.57 *** allocated 33750 integers for justifications
% 17.16/17.57 *** allocated 50625 integers for justifications
% 17.16/17.57 *** allocated 75937 integers for justifications
% 17.16/17.57 *** allocated 113905 integers for justifications
% 17.16/17.57 eqswap: (58857) {G0,W15,D4,L2,V3,M2} { vapp( skol35( X, Y, Z ), skol55( X
% 17.16/17.57 , Y, Z ) ) = X, alpha4( X, Y, Z ) }.
% 17.16/17.57 parent0[1]: (51841) {G0,W15,D4,L2,V3,M2} { alpha4( X, Y, Z ), X = vapp(
% 17.16/17.57 skol35( X, Y, Z ), skol55( X, Y, Z ) ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 subsumption: (228) {G0,W15,D4,L2,V3,M2} I { alpha4( X, Y, Z ), vapp( skol35
% 17.16/17.57 ( X, Y, Z ), skol55( X, Y, Z ) ) ==> X }.
% 17.16/17.57 parent0: (58857) {G0,W15,D4,L2,V3,M2} { vapp( skol35( X, Y, Z ), skol55( X
% 17.16/17.57 , Y, Z ) ) = X, alpha4( X, Y, Z ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 end
% 17.16/17.57 permutation0:
% 17.16/17.57 0 ==> 1
% 17.16/17.57 1 ==> 0
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 subsumption: (231) {G0,W12,D2,L3,V3,M3} I { ! alpha4( X, Y, Z ), alpha9( X
% 17.16/17.57 , Y, Z ), alpha16( X, Y, Z ) }.
% 17.16/17.57 parent0: (51844) {G0,W12,D2,L3,V3,M3} { ! alpha4( X, Y, Z ), alpha9( X, Y
% 17.16/17.57 , Z ), alpha16( X, Y, Z ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 end
% 17.16/17.57 permutation0:
% 17.16/17.57 0 ==> 0
% 17.16/17.57 1 ==> 1
% 17.16/17.57 2 ==> 2
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 *** allocated 2919240 integers for termspace/termends
% 17.16/17.57 eqswap: (71648) {G0,W19,D4,L2,V3,M2} { vabs( skol36( X, Y, Z ), skol74( X
% 17.16/17.57 , Y, Z ), skol56( X, Y, Z ) ) = X, ! alpha16( X, Y, Z ) }.
% 17.16/17.57 parent0[1]: (51847) {G0,W19,D4,L2,V3,M2} { ! alpha16( X, Y, Z ), X = vabs
% 17.16/17.57 ( skol36( X, Y, Z ), skol74( X, Y, Z ), skol56( X, Y, Z ) ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 subsumption: (234) {G0,W19,D4,L2,V3,M2} I { ! alpha16( X, Y, Z ), vabs(
% 17.16/17.57 skol36( X, Y, Z ), skol74( X, Y, Z ), skol56( X, Y, Z ) ) ==> X }.
% 17.16/17.57 parent0: (71648) {G0,W19,D4,L2,V3,M2} { vabs( skol36( X, Y, Z ), skol74( X
% 17.16/17.57 , Y, Z ), skol56( X, Y, Z ) ) = X, ! alpha16( X, Y, Z ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 end
% 17.16/17.57 permutation0:
% 17.16/17.57 0 ==> 1
% 17.16/17.57 1 ==> 0
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 *** allocated 4378860 integers for clauses
% 17.16/17.57 subsumption: (239) {G0,W17,D4,L3,V3,M3} I { ! alpha9( X, Y, Z ), ! vtcheck
% 17.16/17.57 ( Z, X, Y ), vlookup( skol37( X, Y, Z ), Z ) ==> vsomeType( Y ) }.
% 17.16/17.57 parent0: (51852) {G0,W17,D4,L3,V3,M3} { ! alpha9( X, Y, Z ), ! vtcheck( Z
% 17.16/17.57 , X, Y ), vlookup( skol37( X, Y, Z ), Z ) = vsomeType( Y ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 end
% 17.16/17.57 permutation0:
% 17.16/17.57 0 ==> 0
% 17.16/17.57 1 ==> 1
% 17.16/17.57 2 ==> 2
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 subsumption: (244) {G0,W5,D3,L1,V0,M1} I { vtcheck( vempty, vvar( skol38 )
% 17.16/17.57 , skol57 ) }.
% 17.16/17.57 parent0: (51857) {G0,W5,D3,L1,V0,M1} { vtcheck( vempty, vvar( skol38 ),
% 17.16/17.57 skol57 ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 end
% 17.16/17.57 permutation0:
% 17.16/17.57 0 ==> 0
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 eqswap: (84461) {G0,W14,D3,L4,V4,M4} { ! Y = X, ! Z = vempty, ! T =
% 17.16/17.57 vlookup( X, Z ), T = vnoType }.
% 17.16/17.57 parent0[0]: (34) {G0,W14,D3,L4,V4,M4} I { ! X = Z, ! Y = vempty, ! T =
% 17.16/17.57 vlookup( X, Y ), T = vnoType }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Z
% 17.16/17.57 Z := Y
% 17.16/17.57 T := T
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 eqrefl: (84478) {G0,W11,D3,L3,V3,M3} { ! X = Y, ! Z = vempty, vlookup( Y,
% 17.16/17.57 Z ) = vnoType }.
% 17.16/17.57 parent0[2]: (84461) {G0,W14,D3,L4,V4,M4} { ! Y = X, ! Z = vempty, ! T =
% 17.16/17.57 vlookup( X, Z ), T = vnoType }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := Y
% 17.16/17.57 Y := X
% 17.16/17.57 Z := Z
% 17.16/17.57 T := vlookup( Y, Z )
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 eqswap: (84479) {G0,W11,D3,L3,V3,M3} { ! Y = X, ! Z = vempty, vlookup( Y,
% 17.16/17.57 Z ) = vnoType }.
% 17.16/17.57 parent0[0]: (84478) {G0,W11,D3,L3,V3,M3} { ! X = Y, ! Z = vempty, vlookup
% 17.16/17.57 ( Y, Z ) = vnoType }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 subsumption: (337) {G1,W11,D3,L3,V3,M3} Q(34) { ! X = Y, ! Z = vempty,
% 17.16/17.57 vlookup( X, Z ) ==> vnoType }.
% 17.16/17.57 parent0: (84479) {G0,W11,D3,L3,V3,M3} { ! Y = X, ! Z = vempty, vlookup( Y
% 17.16/17.57 , Z ) = vnoType }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := Y
% 17.16/17.57 Y := X
% 17.16/17.57 Z := Z
% 17.16/17.57 end
% 17.16/17.57 permutation0:
% 17.16/17.57 0 ==> 0
% 17.16/17.57 1 ==> 1
% 17.16/17.57 2 ==> 2
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 eqswap: (84512) {G1,W11,D3,L3,V3,M3} { ! Y = X, ! Z = vempty, vlookup( X,
% 17.16/17.57 Z ) ==> vnoType }.
% 17.16/17.57 parent0[0]: (337) {G1,W11,D3,L3,V3,M3} Q(34) { ! X = Y, ! Z = vempty,
% 17.16/17.57 vlookup( X, Z ) ==> vnoType }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 eqrefl: (84520) {G0,W8,D3,L2,V2,M2} { ! X = Y, vlookup( Y, vempty ) ==>
% 17.16/17.57 vnoType }.
% 17.16/17.57 parent0[1]: (84512) {G1,W11,D3,L3,V3,M3} { ! Y = X, ! Z = vempty, vlookup
% 17.16/17.57 ( X, Z ) ==> vnoType }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := Y
% 17.16/17.57 Y := X
% 17.16/17.57 Z := vempty
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 eqswap: (84521) {G0,W8,D3,L2,V2,M2} { ! Y = X, vlookup( Y, vempty ) ==>
% 17.16/17.57 vnoType }.
% 17.16/17.57 parent0[0]: (84520) {G0,W8,D3,L2,V2,M2} { ! X = Y, vlookup( Y, vempty )
% 17.16/17.57 ==> vnoType }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 subsumption: (340) {G2,W8,D3,L2,V2,M2} Q(337) { ! X = Y, vlookup( X, vempty
% 17.16/17.57 ) ==> vnoType }.
% 17.16/17.57 parent0: (84521) {G0,W8,D3,L2,V2,M2} { ! Y = X, vlookup( Y, vempty ) ==>
% 17.16/17.57 vnoType }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := Y
% 17.16/17.57 Y := X
% 17.16/17.57 end
% 17.16/17.57 permutation0:
% 17.16/17.57 0 ==> 0
% 17.16/17.57 1 ==> 1
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 eqswap: (84527) {G2,W8,D3,L2,V2,M2} { ! Y = X, vlookup( X, vempty ) ==>
% 17.16/17.57 vnoType }.
% 17.16/17.57 parent0[0]: (340) {G2,W8,D3,L2,V2,M2} Q(337) { ! X = Y, vlookup( X, vempty
% 17.16/17.57 ) ==> vnoType }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 eqrefl: (84530) {G0,W5,D3,L1,V1,M1} { vlookup( X, vempty ) ==> vnoType }.
% 17.16/17.57 parent0[0]: (84527) {G2,W8,D3,L2,V2,M2} { ! Y = X, vlookup( X, vempty )
% 17.16/17.57 ==> vnoType }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := X
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 subsumption: (341) {G3,W5,D3,L1,V1,M1} Q(340) { vlookup( X, vempty ) ==>
% 17.16/17.57 vnoType }.
% 17.16/17.57 parent0: (84530) {G0,W5,D3,L1,V1,M1} { vlookup( X, vempty ) ==> vnoType
% 17.16/17.57 }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 end
% 17.16/17.57 permutation0:
% 17.16/17.57 0 ==> 0
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 eqswap: (84533) {G0,W6,D3,L1,V3,M1} { ! vapp( Y, Z ) = vvar( X ) }.
% 17.16/17.57 parent0[0]: (10) {G0,W6,D3,L1,V3,M1} I { ! vvar( X ) = vapp( Y, Z ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 paramod: (84534) {G1,W8,D3,L2,V4,M2} { ! X = vvar( T ), alpha4( X, Y, Z )
% 17.16/17.57 }.
% 17.16/17.57 parent0[1]: (228) {G0,W15,D4,L2,V3,M2} I { alpha4( X, Y, Z ), vapp( skol35
% 17.16/17.57 ( X, Y, Z ), skol55( X, Y, Z ) ) ==> X }.
% 17.16/17.57 parent1[0; 2]: (84533) {G0,W6,D3,L1,V3,M1} { ! vapp( Y, Z ) = vvar( X )
% 17.16/17.57 }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 end
% 17.16/17.57 substitution1:
% 17.16/17.57 X := T
% 17.16/17.57 Y := skol35( X, Y, Z )
% 17.16/17.57 Z := skol55( X, Y, Z )
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 eqswap: (84535) {G1,W8,D3,L2,V4,M2} { ! vvar( Y ) = X, alpha4( X, Z, T )
% 17.16/17.57 }.
% 17.16/17.57 parent0[0]: (84534) {G1,W8,D3,L2,V4,M2} { ! X = vvar( T ), alpha4( X, Y, Z
% 17.16/17.57 ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Z
% 17.16/17.57 Z := T
% 17.16/17.57 T := Y
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 subsumption: (49436) {G1,W8,D3,L2,V4,M2} P(228,10) { ! vvar( T ) = X,
% 17.16/17.57 alpha4( X, Y, Z ) }.
% 17.16/17.57 parent0: (84535) {G1,W8,D3,L2,V4,M2} { ! vvar( Y ) = X, alpha4( X, Z, T )
% 17.16/17.57 }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := T
% 17.16/17.57 Z := Y
% 17.16/17.57 T := Z
% 17.16/17.57 end
% 17.16/17.57 permutation0:
% 17.16/17.57 0 ==> 0
% 17.16/17.57 1 ==> 1
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 eqswap: (84536) {G1,W8,D3,L2,V4,M2} { ! Y = vvar( X ), alpha4( Y, Z, T )
% 17.16/17.57 }.
% 17.16/17.57 parent0[0]: (49436) {G1,W8,D3,L2,V4,M2} P(228,10) { ! vvar( T ) = X, alpha4
% 17.16/17.57 ( X, Y, Z ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := Y
% 17.16/17.57 Y := Z
% 17.16/17.57 Z := T
% 17.16/17.57 T := X
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 eqrefl: (84537) {G0,W5,D3,L1,V3,M1} { alpha4( vvar( X ), Y, Z ) }.
% 17.16/17.57 parent0[0]: (84536) {G1,W8,D3,L2,V4,M2} { ! Y = vvar( X ), alpha4( Y, Z, T
% 17.16/17.57 ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := vvar( X )
% 17.16/17.57 Z := Y
% 17.16/17.57 T := Z
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 subsumption: (49455) {G2,W5,D3,L1,V3,M1} Q(49436) { alpha4( vvar( X ), Y, Z
% 17.16/17.57 ) }.
% 17.16/17.57 parent0: (84537) {G0,W5,D3,L1,V3,M1} { alpha4( vvar( X ), Y, Z ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 end
% 17.16/17.57 permutation0:
% 17.16/17.57 0 ==> 0
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 eqswap: (84539) {G0,W7,D3,L1,V4,M1} { ! vabs( Y, Z, T ) = vvar( X ) }.
% 17.16/17.57 parent0[0]: (9) {G0,W7,D3,L1,V4,M1} I { ! vvar( X ) = vabs( Y, Z, T ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 T := T
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 paramod: (84540) {G1,W8,D3,L2,V4,M2} { ! X = vvar( T ), ! alpha16( X, Y, Z
% 17.16/17.57 ) }.
% 17.16/17.57 parent0[1]: (234) {G0,W19,D4,L2,V3,M2} I { ! alpha16( X, Y, Z ), vabs(
% 17.16/17.57 skol36( X, Y, Z ), skol74( X, Y, Z ), skol56( X, Y, Z ) ) ==> X }.
% 17.16/17.57 parent1[0; 2]: (84539) {G0,W7,D3,L1,V4,M1} { ! vabs( Y, Z, T ) = vvar( X )
% 17.16/17.57 }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 end
% 17.16/17.57 substitution1:
% 17.16/17.57 X := T
% 17.16/17.57 Y := skol36( X, Y, Z )
% 17.16/17.57 Z := skol74( X, Y, Z )
% 17.16/17.57 T := skol56( X, Y, Z )
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 eqswap: (84541) {G1,W8,D3,L2,V4,M2} { ! vvar( Y ) = X, ! alpha16( X, Z, T
% 17.16/17.57 ) }.
% 17.16/17.57 parent0[0]: (84540) {G1,W8,D3,L2,V4,M2} { ! X = vvar( T ), ! alpha16( X, Y
% 17.16/17.57 , Z ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Z
% 17.16/17.57 Z := T
% 17.16/17.57 T := Y
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 subsumption: (50217) {G1,W8,D3,L2,V4,M2} P(234,9) { ! vvar( T ) = X, !
% 17.16/17.57 alpha16( X, Y, Z ) }.
% 17.16/17.57 parent0: (84541) {G1,W8,D3,L2,V4,M2} { ! vvar( Y ) = X, ! alpha16( X, Z, T
% 17.16/17.57 ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := T
% 17.16/17.57 Z := Y
% 17.16/17.57 T := Z
% 17.16/17.57 end
% 17.16/17.57 permutation0:
% 17.16/17.57 0 ==> 0
% 17.16/17.57 1 ==> 1
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 eqswap: (84542) {G1,W8,D3,L2,V4,M2} { ! Y = vvar( X ), ! alpha16( Y, Z, T
% 17.16/17.57 ) }.
% 17.16/17.57 parent0[0]: (50217) {G1,W8,D3,L2,V4,M2} P(234,9) { ! vvar( T ) = X, !
% 17.16/17.57 alpha16( X, Y, Z ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := Y
% 17.16/17.57 Y := Z
% 17.16/17.57 Z := T
% 17.16/17.57 T := X
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 eqrefl: (84543) {G0,W5,D3,L1,V3,M1} { ! alpha16( vvar( X ), Y, Z ) }.
% 17.16/17.57 parent0[0]: (84542) {G1,W8,D3,L2,V4,M2} { ! Y = vvar( X ), ! alpha16( Y, Z
% 17.16/17.57 , T ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := vvar( X )
% 17.16/17.57 Z := Y
% 17.16/17.57 T := Z
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 subsumption: (50241) {G2,W5,D3,L1,V3,M1} Q(50217) { ! alpha16( vvar( X ), Y
% 17.16/17.57 , Z ) }.
% 17.16/17.57 parent0: (84543) {G0,W5,D3,L1,V3,M1} { ! alpha16( vvar( X ), Y, Z ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 end
% 17.16/17.57 permutation0:
% 17.16/17.57 0 ==> 0
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 resolution: (84544) {G1,W10,D3,L2,V3,M2} { ! alpha4( vvar( X ), Y, Z ),
% 17.16/17.57 alpha9( vvar( X ), Y, Z ) }.
% 17.16/17.57 parent0[0]: (50241) {G2,W5,D3,L1,V3,M1} Q(50217) { ! alpha16( vvar( X ), Y
% 17.16/17.57 , Z ) }.
% 17.16/17.57 parent1[2]: (231) {G0,W12,D2,L3,V3,M3} I { ! alpha4( X, Y, Z ), alpha9( X,
% 17.16/17.57 Y, Z ), alpha16( X, Y, Z ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 end
% 17.16/17.57 substitution1:
% 17.16/17.57 X := vvar( X )
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 resolution: (84545) {G2,W5,D3,L1,V3,M1} { alpha9( vvar( X ), Y, Z ) }.
% 17.16/17.57 parent0[0]: (84544) {G1,W10,D3,L2,V3,M2} { ! alpha4( vvar( X ), Y, Z ),
% 17.16/17.57 alpha9( vvar( X ), Y, Z ) }.
% 17.16/17.57 parent1[0]: (49455) {G2,W5,D3,L1,V3,M1} Q(49436) { alpha4( vvar( X ), Y, Z
% 17.16/17.57 ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 end
% 17.16/17.57 substitution1:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 subsumption: (50250) {G3,W5,D3,L1,V3,M1} R(50241,231);r(49455) { alpha9(
% 17.16/17.57 vvar( X ), Y, Z ) }.
% 17.16/17.57 parent0: (84545) {G2,W5,D3,L1,V3,M1} { alpha9( vvar( X ), Y, Z ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 end
% 17.16/17.57 permutation0:
% 17.16/17.57 0 ==> 0
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 eqswap: (84546) {G0,W17,D4,L3,V3,M3} { vsomeType( Y ) ==> vlookup( skol37
% 17.16/17.57 ( X, Y, Z ), Z ), ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ) }.
% 17.16/17.57 parent0[2]: (239) {G0,W17,D4,L3,V3,M3} I { ! alpha9( X, Y, Z ), ! vtcheck(
% 17.16/17.57 Z, X, Y ), vlookup( skol37( X, Y, Z ), Z ) ==> vsomeType( Y ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := X
% 17.16/17.57 Y := Y
% 17.16/17.57 Z := Z
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 resolution: (84548) {G1,W15,D5,L2,V0,M2} { vsomeType( skol57 ) ==> vlookup
% 17.16/17.57 ( skol37( vvar( skol38 ), skol57, vempty ), vempty ), ! alpha9( vvar(
% 17.16/17.57 skol38 ), skol57, vempty ) }.
% 17.16/17.57 parent0[2]: (84546) {G0,W17,D4,L3,V3,M3} { vsomeType( Y ) ==> vlookup(
% 17.16/17.57 skol37( X, Y, Z ), Z ), ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ) }.
% 17.16/17.57 parent1[0]: (244) {G0,W5,D3,L1,V0,M1} I { vtcheck( vempty, vvar( skol38 ),
% 17.16/17.57 skol57 ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := vvar( skol38 )
% 17.16/17.57 Y := skol57
% 17.16/17.57 Z := vempty
% 17.16/17.57 end
% 17.16/17.57 substitution1:
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 paramod: (84549) {G2,W9,D3,L2,V0,M2} { vsomeType( skol57 ) ==> vnoType, !
% 17.16/17.57 alpha9( vvar( skol38 ), skol57, vempty ) }.
% 17.16/17.57 parent0[0]: (341) {G3,W5,D3,L1,V1,M1} Q(340) { vlookup( X, vempty ) ==>
% 17.16/17.57 vnoType }.
% 17.16/17.57 parent1[0; 3]: (84548) {G1,W15,D5,L2,V0,M2} { vsomeType( skol57 ) ==>
% 17.16/17.57 vlookup( skol37( vvar( skol38 ), skol57, vempty ), vempty ), ! alpha9(
% 17.16/17.57 vvar( skol38 ), skol57, vempty ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := skol37( vvar( skol38 ), skol57, vempty )
% 17.16/17.57 end
% 17.16/17.57 substitution1:
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 resolution: (84550) {G3,W4,D3,L1,V0,M1} { vsomeType( skol57 ) ==> vnoType
% 17.16/17.57 }.
% 17.16/17.57 parent0[1]: (84549) {G2,W9,D3,L2,V0,M2} { vsomeType( skol57 ) ==> vnoType
% 17.16/17.57 , ! alpha9( vvar( skol38 ), skol57, vempty ) }.
% 17.16/17.57 parent1[0]: (50250) {G3,W5,D3,L1,V3,M1} R(50241,231);r(49455) { alpha9(
% 17.16/17.57 vvar( X ), Y, Z ) }.
% 17.16/17.57 substitution0:
% 17.16/17.57 end
% 17.16/17.57 substitution1:
% 17.16/17.57 X := skol38
% 17.16/17.57 Y := skol57
% 17.16/17.57 Z := vempty
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 subsumption: (51462) {G4,W4,D3,L1,V0,M1} R(239,244);d(341);r(50250) {
% 17.16/17.57 vsomeType( skol57 ) ==> vnoType }.
% 17.16/17.57 parent0: (84550) {G3,W4,D3,L1,V0,M1} { vsomeType( skol57 ) ==> vnoType }.
% 17.16/17.57 substitution0:
% 17.16/17.57 end
% 17.16/17.57 permutation0:
% 17.16/17.57 0 ==> 0
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 resolution: (84554) {G1,W0,D0,L0,V0,M0} { }.
% 17.16/17.57 parent0[0]: (30) {G0,W4,D3,L1,V1,M1} I { ! vsomeType( X ) ==> vnoType }.
% 17.16/17.57 parent1[0]: (51462) {G4,W4,D3,L1,V0,M1} R(239,244);d(341);r(50250) {
% 17.16/17.57 vsomeType( skol57 ) ==> vnoType }.
% 17.16/17.57 substitution0:
% 17.16/17.57 X := skol57
% 17.16/17.57 end
% 17.16/17.57 substitution1:
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 subsumption: (51608) {G5,W0,D0,L0,V0,M0} S(51462);r(30) { }.
% 17.16/17.57 parent0: (84554) {G1,W0,D0,L0,V0,M0} { }.
% 17.16/17.57 substitution0:
% 17.16/17.57 end
% 17.16/17.57 permutation0:
% 17.16/17.57 end
% 17.16/17.57
% 17.16/17.57 Proof check complete!
% 17.16/17.57
% 17.16/17.57 Memory use:
% 17.16/17.57
% 17.16/17.57 space for terms: 1366107
% 17.16/17.57 space for clauses: 2349554
% 17.16/17.57
% 17.16/17.57
% 17.16/17.57 clauses generated: 285489
% 17.16/17.57 clauses kept: 51609
% 17.16/17.57 clauses selected: 1017
% 17.16/17.57 clauses deleted: 1578
% 17.16/17.57 clauses inuse deleted: 65
% 17.16/17.57
% 17.16/17.57 subsentry: 10314389
% 17.16/17.57 literals s-matched: 2297976
% 17.16/17.57 literals matched: 2075443
% 17.16/17.57 full subsumption: 1877694
% 17.16/17.57
% 17.16/17.57 checksum: 944269228
% 17.16/17.57
% 17.16/17.57
% 17.16/17.57 Bliksem ended
%------------------------------------------------------------------------------