TSTP Solution File: COM144+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COM144+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 00:51:36 EDT 2022
% Result : Theorem 6.25s 6.65s
% Output : Refutation 6.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM144+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Thu Jun 16 19:17:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.75/1.14 *** allocated 10000 integers for termspace/termends
% 0.75/1.14 *** allocated 10000 integers for clauses
% 0.75/1.14 *** allocated 10000 integers for justifications
% 0.75/1.14 Bliksem 1.12
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Automatic Strategy Selection
% 0.75/1.14
% 0.75/1.14 *** allocated 15000 integers for termspace/termends
% 0.75/1.14
% 0.75/1.14 Clauses:
% 0.75/1.14
% 0.75/1.14 { ! vvar( X ) = vvar( Y ), X = Y }.
% 0.75/1.14 { ! X = Y, vvar( X ) = vvar( Y ) }.
% 0.75/1.14 { ! vabs( X, Y, Z ) = vabs( T, U, W ), X = T }.
% 0.75/1.14 { ! vabs( X, Y, Z ) = vabs( T, U, W ), Y = U }.
% 0.75/1.14 { ! vabs( X, Y, Z ) = vabs( T, U, W ), Z = W }.
% 0.75/1.14 { ! X = T, ! Y = U, ! Z = W, vabs( X, Y, Z ) = vabs( T, U, W ) }.
% 0.75/1.14 { ! vapp( X, Y ) = vapp( Z, T ), X = Z }.
% 0.75/1.14 { ! vapp( X, Y ) = vapp( Z, T ), Y = T }.
% 0.75/1.14 { ! X = Z, ! Y = T, vapp( X, Y ) = vapp( Z, T ) }.
% 0.75/1.14 { ! vvar( X ) = vabs( Y, Z, T ) }.
% 0.75/1.14 { ! vvar( X ) = vapp( Y, Z ) }.
% 0.75/1.14 { ! vabs( X, Y, Z ) = vapp( T, U ) }.
% 0.75/1.14 { ! X = vabs( Y, Z, T ), visValue( X ) }.
% 0.75/1.14 { ! X = vvar( Y ), ! visValue( X ) }.
% 0.75/1.14 { ! X = vapp( Y, Z ), ! visValue( X ) }.
% 0.75/1.14 { ! X = T, ! Y = vvar( Z ), ! Z = T, visFreeVar( X, Y ) }.
% 0.75/1.14 { ! X = T, ! Y = vvar( Z ), ! visFreeVar( X, Y ), Z = T }.
% 0.75/1.14 { ! X = T, ! Y = vabs( Z, W, U ), Z = T, ! visFreeVar( T, U ), visFreeVar(
% 0.75/1.14 X, Y ) }.
% 0.75/1.14 { ! X = T, ! Y = vabs( Z, W, U ), ! visFreeVar( X, Y ), ! Z = T }.
% 0.75/1.14 { ! X = T, ! Y = vabs( Z, W, U ), ! visFreeVar( X, Y ), visFreeVar( T, U )
% 0.75/1.14 }.
% 0.75/1.14 { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( T, Z ), visFreeVar( X, Y ) }.
% 0.75/1.14 { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( T, U ), visFreeVar( X, Y ) }.
% 0.75/1.14 { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( X, Y ), visFreeVar( T, Z ),
% 0.75/1.14 visFreeVar( T, U ) }.
% 0.75/1.14 { ! &&, vempty = vempty }.
% 0.75/1.14 { ! vbind( X, Y, Z ) = vbind( T, U, W ), X = T }.
% 0.75/1.14 { ! vbind( X, Y, Z ) = vbind( T, U, W ), Y = U }.
% 0.75/1.14 { ! vbind( X, Y, Z ) = vbind( T, U, W ), Z = W }.
% 0.75/1.14 { ! X = T, ! Y = U, ! Z = W, vbind( X, Y, Z ) = vbind( T, U, W ) }.
% 0.75/1.14 { ! &&, vnoType = vnoType }.
% 0.75/1.14 { ! vsomeType( X ) = vsomeType( Y ), X = Y }.
% 0.75/1.14 { ! X = Y, vsomeType( X ) = vsomeType( Y ) }.
% 0.75/1.14 { ! vempty = vbind( X, Y, Z ) }.
% 0.75/1.14 { ! vnoType = vsomeType( X ) }.
% 0.75/1.14 { ! X = vnoType, ! visSomeType( X ) }.
% 0.75/1.14 { ! X = vsomeType( Y ), visSomeType( X ) }.
% 0.75/1.14 { ! X = vsomeType( Y ), ! Z = vgetSomeType( X ), Z = Y }.
% 0.75/1.14 { ! X = Z, ! Y = vempty, ! T = vlookup( X, Y ), T = vnoType }.
% 0.75/1.14 { ! Z = X, ! T = vbind( Y, U, W ), ! X = Y, ! V0 = vlookup( Z, T ), V0 =
% 0.75/1.14 vsomeType( U ) }.
% 0.75/1.14 { ! Y = T, ! Z = vbind( X, W, U ), T = X, ! V0 = vlookup( Y, Z ), V0 =
% 0.75/1.14 vlookup( T, U ) }.
% 0.75/1.14 { alpha5( X, Y, Z ), X = skol1( X, T, U ) }.
% 0.75/1.14 { alpha5( X, Y, Z ), alpha10( Y, Z, skol1( X, Y, Z ) ) }.
% 0.75/1.14 { ! alpha10( X, Y, Z ), Y = vlookup( Z, skol39( T, Y, Z ) ) }.
% 0.75/1.14 { ! alpha10( X, Y, Z ), ! Z = skol2( X, Y, Z ) }.
% 0.75/1.14 { ! alpha10( X, Y, Z ), X = vbind( skol2( X, Y, Z ), skol58( X, Y, Z ),
% 0.75/1.14 skol39( X, Y, Z ) ) }.
% 0.75/1.14 { ! X = vbind( T, W, U ), Z = T, ! Y = vlookup( Z, U ), alpha10( X, Y, Z )
% 0.75/1.14 }.
% 0.75/1.14 { ! alpha5( X, Y, Z ), alpha11( X, Y, Z ), alpha17( X, Y, Z ) }.
% 0.75/1.14 { ! alpha11( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.75/1.14 { ! alpha17( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.75/1.14 { ! alpha17( X, Y, Z ), X = skol3( X, T, U ) }.
% 0.75/1.14 { ! alpha17( X, Y, Z ), alpha22( Y, Z, skol3( X, Y, Z ) ) }.
% 0.75/1.14 { ! X = T, ! alpha22( Y, Z, T ), alpha17( X, Y, Z ) }.
% 0.75/1.14 { ! alpha22( X, Y, Z ), Y = vsomeType( skol40( T, Y, U ) ) }.
% 0.75/1.14 { ! alpha22( X, Y, Z ), Z = skol4( X, Y, Z ) }.
% 0.75/1.14 { ! alpha22( X, Y, Z ), X = vbind( skol4( X, Y, Z ), skol40( X, Y, Z ),
% 0.75/1.14 skol59( X, Y, Z ) ) }.
% 0.75/1.14 { ! X = vbind( T, U, W ), ! Z = T, ! Y = vsomeType( U ), alpha22( X, Y, Z )
% 0.75/1.14 }.
% 0.75/1.14 { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z, alpha1( X, Y ) }.
% 0.75/1.14 { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z, Z = vnoType }.
% 0.75/1.14 { vlookup( X, Y ) = Z, alpha11( X, Y, Z ) }.
% 0.75/1.14 { ! alpha1( X, Y ), ! Z = vnoType, alpha11( X, Y, Z ) }.
% 0.75/1.14 { ! alpha1( X, Y ), X = skol5( X ) }.
% 0.75/1.14 { ! alpha1( X, Y ), Y = vempty }.
% 0.75/1.14 { ! X = Z, ! Y = vempty, alpha1( X, Y ) }.
% 0.75/1.14 { ! X = W, ! vtcheck( vbind( X, Y, vbind( W, V0, Z ) ), T, U ), vtcheck(
% 0.75/1.14 vbind( X, Y, Z ), T, U ) }.
% 0.75/1.14 { Z = X, ! vtcheck( vbind( Z, T, vbind( X, Y, U ) ), W, V0 ), vtcheck(
% 0.75/1.14 vbind( X, Y, vbind( Z, T, U ) ), W, V0 ) }.
% 0.75/1.14 { ! vgensym( Y ) = X, ! visFreeVar( X, Y ) }.
% 0.75/1.14 { ! Z = X, ! T = W, ! U = vvar( Y ), ! X = Y, ! V0 = vsubst( Z, T, U ), V0
% 0.75/1.14 = W }.
% 0.75/1.14 { ! Y = X, ! Z = W, ! T = vvar( U ), X = U, ! V0 = vsubst( Y, Z, T ), V0 =
% 0.75/1.14 vvar( U ) }.
% 0.75/1.14 { ! X = U, ! Y = W, ! Z = vapp( T, V0 ), ! V1 = vsubst( X, Y, Z ), V1 =
% 0.75/1.14 vapp( vsubst( U, W, T ), vsubst( U, W, V0 ) ) }.
% 0.75/1.14 { ! Y = X, ! Z = V1, ! T = vabs( U, W, V0 ), ! X = U, ! V2 = vsubst( Y, Z,
% 0.75/1.14 T ), V2 = vabs( U, W, V0 ) }.
% 0.75/1.14 { ! X = T, ! Y = U, ! Z = vabs( V0, W, V1 ), T = V0, ! visFreeVar( V0, U )
% 0.75/1.14 , ! V2 = vgensym( vapp( vapp( U, V1 ), vvar( T ) ) ), ! V3 = vsubst( X, Y
% 0.75/1.14 , Z ), V3 = vsubst( T, U, vabs( V2, W, vsubst( V0, vvar( V2 ), V1 ) ) ) }
% 0.75/1.14 .
% 0.75/1.14 { ! X = W, ! Y = V0, ! Z = vabs( T, U, V1 ), W = T, visFreeVar( T, V0 ), !
% 0.75/1.14 V2 = vsubst( X, Y, Z ), V2 = vabs( T, U, vsubst( W, V0, V1 ) ) }.
% 0.75/1.14 { alpha28( X, Y, Z, T ), X = skol6( X, U, W, V0 ) }.
% 0.75/1.14 { alpha28( X, Y, Z, T ), alpha33( Y, Z, T, skol6( X, Y, Z, T ) ) }.
% 0.75/1.14 { ! alpha33( X, Y, Z, T ), X = skol7( X, U, W, V0 ) }.
% 0.75/1.14 { ! alpha33( X, Y, Z, T ), alpha36( Y, Z, T, skol7( X, Y, Z, T ) ) }.
% 0.75/1.14 { ! X = U, ! alpha36( Y, Z, T, U ), alpha33( X, Y, Z, T ) }.
% 0.75/1.14 { ! alpha36( X, Y, Z, T ), alpha39( X, Z, skol8( X, Y, Z, T ), skol41( X, Y
% 0.75/1.14 , Z, T ), skol60( X, Y, Z, T ) ) }.
% 0.75/1.14 { ! alpha36( X, Y, Z, T ), ! visFreeVar( skol8( X, Y, Z, T ), T ) }.
% 0.75/1.14 { ! alpha36( X, Y, Z, T ), Y = vabs( skol8( X, Y, Z, T ), skol41( X, Y, Z,
% 0.75/1.14 T ), vsubst( Z, T, skol60( X, Y, Z, T ) ) ) }.
% 0.75/1.14 { ! alpha39( X, Z, U, W, V0 ), visFreeVar( U, T ), ! Y = vabs( U, W, vsubst
% 0.75/1.14 ( Z, T, V0 ) ), alpha36( X, Y, Z, T ) }.
% 0.75/1.14 { ! alpha39( X, Y, Z, T, U ), X = vabs( Z, T, U ) }.
% 0.75/1.14 { ! alpha39( X, Y, Z, T, U ), ! Y = Z }.
% 0.75/1.14 { ! X = vabs( Z, T, U ), Y = Z, alpha39( X, Y, Z, T, U ) }.
% 0.75/1.14 { ! alpha28( X, Y, Z, T ), alpha34( X, Y, Z, T ), alpha37( X, Y, Z, T ) }.
% 0.75/1.14 { ! alpha34( X, Y, Z, T ), alpha28( X, Y, Z, T ) }.
% 0.75/1.14 { ! alpha37( X, Y, Z, T ), alpha28( X, Y, Z, T ) }.
% 0.75/1.14 { ! alpha37( X, Y, Z, T ), X = skol9( X, U, W, V0 ) }.
% 0.75/1.14 { ! alpha37( X, Y, Z, T ), alpha40( Y, Z, T, skol9( X, Y, Z, T ) ) }.
% 0.75/1.14 { ! X = U, ! alpha40( Y, Z, T, U ), alpha37( X, Y, Z, T ) }.
% 0.75/1.14 { ! alpha40( X, Y, Z, T ), X = skol10( X, U, W, V0 ) }.
% 0.75/1.14 { ! alpha40( X, Y, Z, T ), alpha42( Y, Z, T, skol10( X, Y, Z, T ) ) }.
% 0.75/1.14 { ! X = U, ! alpha42( Y, Z, T, U ), alpha40( X, Y, Z, T ) }.
% 0.75/1.14 { ! alpha42( X, Y, Z, T ), alpha48( X, Z, T, skol11( X, Y, Z, T ), skol42(
% 0.75/1.14 X, Y, Z, T ), skol61( X, Y, Z, T ) ) }.
% 0.75/1.14 { ! alpha42( X, Y, Z, T ), skol76( X, Y, Z, T ) = vgensym( vapp( vapp( T,
% 0.75/1.14 skol61( X, Y, Z, T ) ), vvar( Z ) ) ) }.
% 0.75/1.14 { ! alpha42( X, Y, Z, T ), Y = vsubst( Z, T, vabs( skol76( X, Y, Z, T ),
% 0.75/1.14 skol11( X, Y, Z, T ), vsubst( skol42( X, Y, Z, T ), vvar( skol76( X, Y, Z
% 0.75/1.14 , T ) ), skol61( X, Y, Z, T ) ) ) ) }.
% 0.75/1.14 { ! alpha48( X, Z, T, U, W, V0 ), ! V1 = vgensym( vapp( vapp( T, V0 ), vvar
% 0.75/1.14 ( Z ) ) ), ! Y = vsubst( Z, T, vabs( V1, U, vsubst( W, vvar( V1 ), V0 ) )
% 0.75/1.14 ), alpha42( X, Y, Z, T ) }.
% 0.75/1.14 { ! alpha48( X, Y, Z, T, U, W ), alpha45( X, Y, T, U, W ) }.
% 0.75/1.14 { ! alpha48( X, Y, Z, T, U, W ), visFreeVar( U, Z ) }.
% 0.75/1.14 { ! alpha45( X, Y, T, U, W ), ! visFreeVar( U, Z ), alpha48( X, Y, Z, T, U
% 0.75/1.14 , W ) }.
% 0.75/1.14 { ! alpha45( X, Y, Z, T, U ), X = vabs( T, Z, U ) }.
% 0.75/1.14 { ! alpha45( X, Y, Z, T, U ), ! Y = T }.
% 0.75/1.14 { ! X = vabs( T, Z, U ), Y = T, alpha45( X, Y, Z, T, U ) }.
% 0.75/1.14 { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z, T ), alpha23( Z, T, skol12( U
% 0.75/1.14 , W, Z, T ) ) }.
% 0.75/1.14 { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z, T ), alpha18( X, Y, skol12( X
% 0.75/1.14 , Y, Z, T ) ) }.
% 0.75/1.14 { ! alpha38( X, Y, Z, T ), alpha34( X, Y, Z, T ) }.
% 0.75/1.14 { ! alpha18( X, Y, U ), ! alpha23( Z, T, U ), alpha34( X, Y, Z, T ) }.
% 0.75/1.14 { ! alpha38( X, Y, Z, T ), alpha41( X, Y, Z, T ), alpha43( X, Y, Z, T ) }.
% 0.75/1.14 { ! alpha41( X, Y, Z, T ), alpha38( X, Y, Z, T ) }.
% 0.75/1.14 { ! alpha43( X, Y, Z, T ), alpha38( X, Y, Z, T ) }.
% 0.75/1.14 { ! alpha43( X, Y, Z, T ), X = skol13( X, U, W, V0 ) }.
% 0.75/1.14 { ! alpha43( X, Y, Z, T ), alpha46( Y, Z, T, skol13( X, Y, Z, T ) ) }.
% 0.75/1.14 { ! X = U, ! alpha46( Y, Z, T, U ), alpha43( X, Y, Z, T ) }.
% 0.75/1.14 { ! alpha46( X, Y, Z, T ), X = skol14( X, U, W, V0 ) }.
% 0.75/1.14 { ! alpha46( X, Y, Z, T ), Y = vapp( skol43( X, Y, Z, T ), skol62( X, Y, Z
% 0.75/1.14 , T ) ) }.
% 0.75/1.14 { ! alpha46( X, Y, Z, T ), Z = vapp( vsubst( T, skol14( X, Y, Z, T ),
% 0.75/1.14 skol43( X, Y, Z, T ) ), vsubst( T, skol14( X, Y, Z, T ), skol62( X, Y, Z
% 0.75/1.14 , T ) ) ) }.
% 0.75/1.14 { ! X = U, ! Y = vapp( W, V0 ), ! Z = vapp( vsubst( T, U, W ), vsubst( T, U
% 0.75/1.14 , V0 ) ), alpha46( X, Y, Z, T ) }.
% 0.75/1.14 { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z, T ), alpha12( Z, T, skol15( U
% 0.75/1.14 , W, Z, T ) ) }.
% 0.75/1.14 { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z, T ), alpha6( X, Y, skol15( X,
% 0.75/1.14 Y, Z, T ) ) }.
% 0.75/1.14 { ! alpha44( X, Y, Z, T ), alpha41( X, Y, Z, T ) }.
% 0.75/1.14 { ! alpha6( X, Y, U ), ! alpha12( Z, T, U ), alpha41( X, Y, Z, T ) }.
% 0.75/1.14 { ! alpha44( X, Y, Z, T ), ! vsubst( X, Y, Z ) = T, alpha47( X, Y, Z, T ) }
% 0.75/1.14 .
% 0.75/1.14 { vsubst( X, Y, Z ) = T, alpha44( X, Y, Z, T ) }.
% 0.75/1.14 { ! alpha47( X, Y, Z, T ), alpha44( X, Y, Z, T ) }.
% 0.75/1.14 { ! alpha47( X, Y, Z, T ), X = skol16( X, U, W, V0 ) }.
% 0.75/1.14 { ! alpha47( X, Y, Z, T ), alpha49( Y, Z, T, skol16( X, Y, Z, T ) ) }.
% 0.75/1.14 { ! X = U, ! alpha49( Y, Z, T, U ), alpha47( X, Y, Z, T ) }.
% 0.75/1.14 { ! alpha49( X, Y, Z, T ), X = skol17( X, U, W, V0 ) }.
% 0.75/1.14 { ! alpha49( X, Y, Z, T ), alpha2( Y, T, skol44( U, Y, W, T ) ) }.
% 0.75/1.14 { ! alpha49( X, Y, Z, T ), Z = skol17( X, Y, Z, T ) }.
% 0.75/1.14 { ! X = U, ! alpha2( Y, T, W ), ! Z = U, alpha49( X, Y, Z, T ) }.
% 0.75/1.14 { ! alpha23( X, Y, Z ), X = vabs( skol18( X, Y, Z ), skol45( X, Y, Z ),
% 0.75/1.14 skol63( X, Y, Z ) ) }.
% 0.75/1.14 { ! alpha23( X, Y, Z ), Z = skol18( X, Y, Z ) }.
% 0.75/1.14 { ! alpha23( X, Y, Z ), Y = vabs( skol18( X, Y, Z ), skol45( X, Y, Z ),
% 0.75/1.14 skol63( X, Y, Z ) ) }.
% 0.75/1.14 { ! X = vabs( T, U, W ), ! Z = T, ! Y = vabs( T, U, W ), alpha23( X, Y, Z )
% 0.75/1.14 }.
% 0.75/1.14 { ! alpha18( X, Y, Z ), X = Z }.
% 0.75/1.14 { ! alpha18( X, Y, Z ), Y = skol19( Y ) }.
% 0.75/1.14 { ! X = Z, ! Y = T, alpha18( X, Y, Z ) }.
% 0.75/1.14 { ! alpha12( X, Y, Z ), ! Z = skol20( T, U, Z ) }.
% 0.75/1.14 { ! alpha12( X, Y, Z ), Y = vvar( skol20( T, Y, Z ) ) }.
% 0.75/1.14 { ! alpha12( X, Y, Z ), X = vvar( skol20( X, Y, Z ) ) }.
% 0.75/1.14 { ! X = vvar( T ), Z = T, ! Y = vvar( T ), alpha12( X, Y, Z ) }.
% 0.75/1.14 { ! alpha6( X, Y, Z ), X = Z }.
% 0.75/1.14 { ! alpha6( X, Y, Z ), Y = skol21( Y ) }.
% 0.75/1.14 { ! X = Z, ! Y = T, alpha6( X, Y, Z ) }.
% 0.75/1.14 { ! alpha2( X, Y, Z ), X = vvar( Z ) }.
% 0.75/1.14 { ! alpha2( X, Y, Z ), Y = Z }.
% 0.75/1.14 { ! X = vvar( Z ), ! Y = Z, alpha2( X, Y, Z ) }.
% 0.75/1.14 { ! &&, vnoExp = vnoExp }.
% 0.75/1.14 { ! vsomeExp( X ) = vsomeExp( Y ), X = Y }.
% 0.75/1.14 { ! X = Y, vsomeExp( X ) = vsomeExp( Y ) }.
% 0.75/1.14 { ! vnoExp = vsomeExp( X ) }.
% 0.75/1.14 { ! X = vnoExp, ! visSomeExp( X ) }.
% 0.75/1.14 { ! X = vsomeExp( Y ), visSomeExp( X ) }.
% 0.75/1.14 { ! X = vsomeExp( Y ), ! Z = vgetSomeExp( X ), Z = Y }.
% 0.75/1.14 { ! X = vvar( Y ), ! Z = vreduce( X ), Z = vnoExp }.
% 0.75/1.14 { ! X = vabs( Y, Z, T ), ! U = vreduce( X ), U = vnoExp }.
% 0.75/1.14 { ! Y = vapp( vabs( Z, T, U ), X ), ! W = vreduce( X ), ! visSomeExp( W ),
% 0.75/1.14 ! V0 = vreduce( Y ), V0 = vsomeExp( vapp( vabs( Z, T, U ), vgetSomeExp( W
% 0.75/1.14 ) ) ) }.
% 0.75/1.14 { ! X = vapp( vabs( Y, U, T ), Z ), ! W = vreduce( Z ), visSomeExp( W ), !
% 0.75/1.14 visValue( Z ), ! V0 = vreduce( X ), V0 = vsomeExp( vsubst( Y, Z, T ) ) }
% 0.75/1.14 .
% 0.75/1.14 { ! Y = vapp( vabs( Z, T, U ), X ), ! W = vreduce( X ), visSomeExp( W ),
% 0.75/1.14 visValue( X ), ! V0 = vreduce( Y ), V0 = vnoExp }.
% 0.75/1.14 { ! Y = vapp( X, Z ), X = vabs( skol22( X ), skol46( X ), skol64( X ) ), !
% 0.75/1.14 T = vreduce( X ), ! visSomeExp( T ), ! U = vreduce( Y ), U = vsomeExp(
% 0.75/1.14 vapp( vgetSomeExp( T ), Z ) ) }.
% 0.75/1.14 { ! Y = vapp( X, Z ), X = vabs( skol23( X ), skol47( X ), skol65( X ) ), !
% 0.75/1.14 T = vreduce( X ), visSomeExp( T ), ! U = vreduce( Y ), U = vnoExp }.
% 0.75/1.14 { alpha3( X, Y ), alpha13( Y, skol24( Z, Y ) ) }.
% 0.75/1.14 { alpha3( X, Y ), alpha7( X, skol24( X, Y ) ) }.
% 0.75/1.14 { ! alpha13( X, Y ), ! visSomeExp( skol25( Z, T ) ) }.
% 0.75/1.14 { ! alpha13( X, Y ), skol25( Z, Y ) = vreduce( Y ) }.
% 0.75/1.14 { ! alpha13( X, Y ), X = vnoExp }.
% 0.75/1.14 { ! Z = vreduce( Y ), visSomeExp( Z ), ! X = vnoExp, alpha13( X, Y ) }.
% 0.75/1.14 { ! alpha7( X, Y ), X = vapp( Y, skol26( X, Y ) ) }.
% 0.75/1.14 { ! alpha7( X, Y ), ! Y = vabs( Z, T, U ) }.
% 0.75/1.14 { ! X = vapp( Y, Z ), Y = vabs( skol48( Y ), skol66( Y ), skol77( Y ) ),
% 0.75/1.14 alpha7( X, Y ) }.
% 0.75/1.14 { ! alpha3( X, Y ), alpha8( X, Y ), alpha14( X, Y ) }.
% 0.75/1.14 { ! alpha8( X, Y ), alpha3( X, Y ) }.
% 0.75/1.14 { ! alpha14( X, Y ), alpha3( X, Y ) }.
% 0.75/1.14 { ! alpha14( X, Y ), alpha24( X, skol27( X, Y ), skol49( X, Y ) ) }.
% 0.75/1.14 { ! alpha14( X, Y ), alpha19( skol27( X, Y ), skol67( X, Y ) ) }.
% 0.75/1.14 { ! alpha14( X, Y ), Y = vsomeExp( vapp( vgetSomeExp( skol67( X, Y ) ),
% 0.75/1.14 skol49( X, Y ) ) ) }.
% 0.75/1.14 { ! alpha24( X, Z, T ), ! alpha19( Z, U ), ! Y = vsomeExp( vapp(
% 0.75/1.14 vgetSomeExp( U ), T ) ), alpha14( X, Y ) }.
% 0.75/1.14 { ! alpha24( X, Y, Z ), X = vapp( Y, Z ) }.
% 0.75/1.14 { ! alpha24( X, Y, Z ), ! Y = vabs( T, U, W ) }.
% 0.75/1.14 { ! X = vapp( Y, Z ), Y = vabs( skol28( Y ), skol50( Y ), skol68( Y ) ),
% 0.75/1.14 alpha24( X, Y, Z ) }.
% 0.75/1.14 { ! alpha19( X, Y ), Y = vreduce( X ) }.
% 0.75/1.14 { ! alpha19( X, Y ), visSomeExp( Y ) }.
% 0.75/1.14 { ! Y = vreduce( X ), ! visSomeExp( Y ), alpha19( X, Y ) }.
% 0.75/1.14 { ! alpha8( X, Y ), alpha15( X, Y ), alpha20( X, Y ) }.
% 0.75/1.14 { ! alpha15( X, Y ), alpha8( X, Y ) }.
% 0.75/1.14 { ! alpha20( X, Y ), alpha8( X, Y ) }.
% 0.75/1.14 { ! alpha20( X, Y ), alpha25( Y, skol29( Z, Y ) ) }.
% 0.75/1.14 { ! alpha20( X, Y ), X = vapp( vabs( skol51( X, Y ), skol69( X, Y ), skol78
% 0.75/1.14 ( X, Y ) ), skol29( X, Y ) ) }.
% 0.75/1.14 { ! X = vapp( vabs( T, U, W ), Z ), ! alpha25( Y, Z ), alpha20( X, Y ) }.
% 0.75/1.14 { ! alpha25( X, Y ), alpha29( Y, skol30( Z, Y ) ) }.
% 0.75/1.14 { ! alpha25( X, Y ), X = vnoExp }.
% 0.75/1.14 { ! alpha29( Y, Z ), ! X = vnoExp, alpha25( X, Y ) }.
% 0.75/1.14 { ! alpha29( X, Y ), Y = vreduce( X ) }.
% 0.75/1.14 { ! alpha29( X, Y ), ! visSomeExp( Y ) }.
% 0.75/1.14 { ! alpha29( X, Y ), ! visValue( X ) }.
% 0.75/1.14 { ! Y = vreduce( X ), visSomeExp( Y ), visValue( X ), alpha29( X, Y ) }.
% 0.75/1.14 { ! alpha15( X, Y ), alpha21( X, Y ), alpha26( X, Y ) }.
% 0.75/1.14 { ! alpha21( X, Y ), alpha15( X, Y ) }.
% 0.75/1.14 { ! alpha26( X, Y ), alpha15( X, Y ) }.
% 0.75/1.14 { ! alpha26( X, Y ), X = vapp( vabs( skol31( X, Y ), skol79( X, Y ), skol70
% 0.75/1.14 ( X, Y ) ), skol52( X, Y ) ) }.
% 0.75/1.14 { ! alpha26( X, Y ), alpha30( skol52( X, Y ), skol83( X, Y ) ) }.
% 0.75/1.14 { ! alpha26( X, Y ), Y = vsomeExp( vsubst( skol31( X, Y ), skol52( X, Y ),
% 0.75/1.14 skol70( X, Y ) ) ) }.
% 0.75/1.14 { ! X = vapp( vabs( Z, W, U ), T ), ! alpha30( T, V0 ), ! Y = vsomeExp(
% 0.75/1.14 vsubst( Z, T, U ) ), alpha26( X, Y ) }.
% 0.75/1.14 { ! alpha30( X, Y ), Y = vreduce( X ) }.
% 0.75/1.14 { ! alpha30( X, Y ), ! visSomeExp( Y ) }.
% 0.75/1.14 { ! alpha30( X, Y ), visValue( X ) }.
% 0.75/1.14 { ! Y = vreduce( X ), visSomeExp( Y ), ! visValue( X ), alpha30( X, Y ) }.
% 0.75/1.14 { ! alpha21( X, Y ), alpha27( X, Y ), alpha31( X, Y ) }.
% 0.75/1.14 { ! alpha27( X, Y ), alpha21( X, Y ) }.
% 0.75/1.14 { ! alpha31( X, Y ), alpha21( X, Y ) }.
% 0.75/1.14 { ! alpha31( X, Y ), X = vapp( vabs( skol53( X, Y ), skol71( X, Y ), skol80
% 0.75/1.14 ( X, Y ) ), skol32( X, Y ) ) }.
% 0.75/1.14 { ! alpha31( X, Y ), alpha35( skol32( X, Y ), skol84( X, Y ) ) }.
% 0.75/1.14 { ! alpha31( X, Y ), Y = vsomeExp( vapp( vabs( skol53( X, Y ), skol71( X, Y
% 0.75/1.14 ), skol80( X, Y ) ), vgetSomeExp( skol84( X, Y ) ) ) ) }.
% 0.75/1.14 { ! X = vapp( vabs( T, U, W ), Z ), ! alpha35( Z, V0 ), ! Y = vsomeExp(
% 0.75/1.14 vapp( vabs( T, U, W ), vgetSomeExp( V0 ) ) ), alpha31( X, Y ) }.
% 0.75/1.14 { ! alpha35( X, Y ), Y = vreduce( X ) }.
% 0.75/1.14 { ! alpha35( X, Y ), visSomeExp( Y ) }.
% 0.75/1.14 { ! Y = vreduce( X ), ! visSomeExp( Y ), alpha35( X, Y ) }.
% 0.75/1.14 { ! alpha27( X, Y ), alpha32( X, Y ), X = vabs( skol33( X ), skol54( X ),
% 0.75/1.14 skol72( X ) ) }.
% 0.75/1.14 { ! alpha27( X, Y ), alpha32( X, Y ), Y = vnoExp }.
% 0.75/1.14 { ! alpha32( X, Y ), alpha27( X, Y ) }.
% 0.75/1.14 { ! X = vabs( Z, T, U ), ! Y = vnoExp, alpha27( X, Y ) }.
% 0.75/1.14 { ! alpha32( X, Y ), ! vreduce( X ) = Y, X = vvar( skol34( X ) ) }.
% 0.75/1.14 { ! alpha32( X, Y ), ! vreduce( X ) = Y, Y = vnoExp }.
% 0.75/1.14 { vreduce( X ) = Y, alpha32( X, Y ) }.
% 0.75/1.14 { ! X = vvar( Z ), ! Y = vnoExp, alpha32( X, Y ) }.
% 0.75/1.14 { ! varrow( X, Y ) = varrow( Z, T ), X = Z }.
% 0.75/1.14 { ! varrow( X, Y ) = varrow( Z, T ), Y = T }.
% 0.75/1.14 { ! X = Z, ! Y = T, varrow( X, Y ) = varrow( Z, T ) }.
% 0.75/1.14 { ! vlookup( Y, X ) = vsomeType( Z ), vtcheck( X, vvar( Y ), Z ) }.
% 0.75/1.14 { ! vtcheck( vbind( Y, T, X ), Z, U ), vtcheck( X, vabs( Y, T, Z ), varrow
% 0.75/1.14 ( T, U ) ) }.
% 0.75/1.14 { ! vtcheck( X, Y, varrow( U, T ) ), ! vtcheck( X, Z, U ), vtcheck( X, vapp
% 0.75/1.14 ( Y, Z ), T ) }.
% 0.75/1.14 { alpha4( X, Y, Z ), X = vapp( skol35( X, Y, Z ), skol55( X, Y, Z ) ) }.
% 0.75/1.14 { alpha4( X, Y, Z ), vtcheck( Z, skol35( X, Y, Z ), varrow( skol73( X, Y, Z
% 0.75/1.14 ), Y ) ) }.
% 0.75/1.14 { alpha4( X, Y, Z ), vtcheck( Z, skol55( X, Y, Z ), skol73( X, Y, Z ) ) }.
% 0.75/1.14 { ! alpha4( X, Y, Z ), alpha9( X, Y, Z ), alpha16( X, Y, Z ) }.
% 0.75/1.14 { ! alpha9( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.75/1.14 { ! alpha16( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.75/1.14 { ! alpha16( X, Y, Z ), X = vabs( skol36( X, Y, Z ), skol74( X, Y, Z ),
% 0.75/1.14 skol56( X, Y, Z ) ) }.
% 0.75/1.14 { ! alpha16( X, Y, Z ), Y = varrow( skol74( X, Y, Z ), skol81( X, Y, Z ) )
% 0.75/1.14 }.
% 0.75/1.14 { ! alpha16( X, Y, Z ), vtcheck( vbind( skol36( X, Y, Z ), skol74( X, Y, Z
% 0.75/1.14 ), Z ), skol56( X, Y, Z ), skol81( X, Y, Z ) ) }.
% 0.75/1.14 { ! X = vabs( T, W, U ), ! Y = varrow( W, V0 ), ! vtcheck( vbind( T, W, Z )
% 0.75/1.14 , U, V0 ), alpha16( X, Y, Z ) }.
% 0.75/1.14 { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ), X = vvar( skol37( X, T, U ) )
% 0.75/1.14 }.
% 0.75/1.14 { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ), vlookup( skol37( X, Y, Z ), Z
% 0.75/1.14 ) = vsomeType( Y ) }.
% 0.75/1.14 { vtcheck( Z, X, Y ), alpha9( X, Y, Z ) }.
% 0.75/1.14 { ! X = vvar( T ), ! vlookup( T, Z ) = vsomeType( Y ), alpha9( X, Y, Z ) }
% 0.75/1.14 .
% 0.75/1.14 { visFreeVar( X, Z ), ! vtcheck( Y, Z, T ), vtcheck( vbind( X, U, Y ), Z, T
% 0.75/1.14 ) }.
% 0.75/1.14 { ! vtcheck( X, Z, W ), ! vtcheck( vbind( Y, W, X ), T, U ), vtcheck( X,
% 0.75/1.14 vsubst( Y, Z, T ), U ) }.
% 0.75/1.14 { ! vlookup( X, Y ) = vnoType, ! vtcheck( Y, Z, T ), vtcheck( vbind( X, U,
% 0.75/1.14 Y ), Z, T ) }.
% 0.75/1.14 { visFreeVar( T, Y ), ! vtcheck( vbind( T, U, X ), Y, Z ), vtcheck( X, Y, Z
% 0.75/1.14 ) }.
% 0.75/1.14 { ! vreduce( ve1 ) = vsomeExp( Y ), ! vtcheck( X, ve1, Z ), vtcheck( X, Y,
% 0.75/1.14 Z ) }.
% 0.75/1.14 { vreduce( vabs( skol82, skol85, ve1 ) ) = vsomeExp( skol57 ) }.
% 0.75/1.14 { vtcheck( skol38, vabs( skol82, skol85, ve1 ), skol75 ) }.
% 0.75/1.14 { ! vtcheck( skol38, skol57, skol75 ) }.
% 0.75/1.14
% 0.75/1.14 *** allocated 15000 integers for clauses
% 0.75/1.14 percentage equality = 0.471037, percentage horn = 0.800000
% 0.75/1.14 This is a problem with some equality
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Options Used:
% 0.75/1.14
% 0.75/1.14 useres = 1
% 0.75/1.14 useparamod = 1
% 0.75/1.14 useeqrefl = 1
% 0.75/1.14 useeqfact = 1
% 0.75/1.14 usefactor = 1
% 0.75/1.14 usesimpsplitting = 0
% 0.75/1.14 usesimpdemod = 5
% 0.75/1.14 usesimpres = 3
% 0.75/1.14
% 0.75/1.14 resimpinuse = 1000
% 0.75/1.14 resimpclauses = 20000
% 0.75/1.14 substype = eqrewr
% 0.75/1.14 backwardsubs = 1
% 0.75/1.14 selectoldest = 5
% 0.75/1.14
% 0.75/1.14 litorderings [0] = split
% 0.75/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.14
% 0.75/1.14 termordering = kbo
% 0.75/1.14
% 0.75/1.14 litapriori = 0
% 0.75/1.14 termapriori = 1
% 0.75/1.14 litaposteriori = 0
% 0.75/1.14 termaposteriori = 0
% 0.75/1.14 demodaposteriori = 0
% 0.75/1.14 ordereqreflfact = 0
% 0.75/1.14
% 0.75/1.14 litselect = negord
% 0.75/1.14
% 0.75/1.14 maxweight = 15
% 0.75/1.14 maxdepth = 30000
% 0.75/1.14 maxlength = 115
% 0.75/1.14 maxnrvars = 195
% 0.75/1.14 excuselevel = 1
% 0.75/1.14 increasemaxweight = 1
% 0.75/1.14
% 0.75/1.14 maxselected = 10000000
% 0.75/1.14 maxnrclauses = 10000000
% 0.75/1.14
% 0.75/1.14 showgenerated = 0
% 0.75/1.14 showkept = 0
% 0.75/1.14 showselected = 0
% 0.75/1.14 showdeleted = 0
% 0.75/1.14 showresimp = 1
% 0.75/1.14 showstatus = 2000
% 0.75/1.14
% 0.75/1.14 prologoutput = 0
% 0.75/1.14 nrgoals = 5000000
% 0.75/1.14 totalproof = 1
% 0.75/1.14
% 0.75/1.14 Symbols occurring in the translation:
% 0.75/1.14
% 0.75/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.14 . [1, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.75/1.14 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.75/1.14 ! [4, 1] (w:0, o:50, a:1, s:1, b:0),
% 0.75/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.14 vvar [37, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.75/1.14 vabs [42, 3] (w:1, o:151, a:1, s:1, b:0),
% 0.75/1.14 vapp [45, 2] (w:1, o:108, a:1, s:1, b:0),
% 0.75/1.14 visValue [49, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.75/1.14 visFreeVar [53, 2] (w:1, o:109, a:1, s:1, b:0),
% 0.75/1.14 vempty [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.75/1.14 vbind [58, 3] (w:1, o:152, a:1, s:1, b:0),
% 0.75/1.14 vnoType [59, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.75/1.14 vsomeType [60, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.75/1.14 visSomeType [62, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.75/1.14 vgetSomeType [64, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.75/1.14 vlookup [65, 2] (w:1, o:110, a:1, s:1, b:0),
% 0.75/1.14 vtcheck [70, 3] (w:1, o:154, a:1, s:1, b:0),
% 0.75/1.14 vgensym [71, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.75/1.14 vsubst [72, 3] (w:1, o:153, a:1, s:1, b:0),
% 0.75/1.14 vnoExp [74, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.75/1.14 vsomeExp [75, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.75/1.14 visSomeExp [77, 1] (w:1, o:63, a:1, s:1, b:0),
% 0.75/1.14 vgetSomeExp [78, 1] (w:1, o:64, a:1, s:1, b:0),
% 0.75/1.14 vreduce [79, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.75/1.14 varrow [87, 2] (w:1, o:111, a:1, s:1, b:0),
% 0.75/1.14 ve1 [91, 0] (w:1, o:44, a:1, s:1, b:0),
% 0.75/1.14 alpha1 [92, 2] (w:1, o:112, a:1, s:1, b:1),
% 0.75/1.14 alpha2 [93, 3] (w:1, o:161, a:1, s:1, b:1),
% 0.75/1.14 alpha3 [94, 2] (w:1, o:119, a:1, s:1, b:1),
% 0.75/1.14 alpha4 [95, 3] (w:1, o:162, a:1, s:1, b:1),
% 0.75/1.14 alpha5 [96, 3] (w:1, o:163, a:1, s:1, b:1),
% 0.75/1.14 alpha6 [97, 3] (w:1, o:164, a:1, s:1, b:1),
% 0.75/1.14 alpha7 [98, 2] (w:1, o:120, a:1, s:1, b:1),
% 0.75/1.14 alpha8 [99, 2] (w:1, o:121, a:1, s:1, b:1),
% 0.75/1.14 alpha9 [100, 3] (w:1, o:165, a:1, s:1, b:1),
% 0.75/1.14 alpha10 [101, 3] (w:1, o:155, a:1, s:1, b:1),
% 0.75/1.14 alpha11 [102, 3] (w:1, o:156, a:1, s:1, b:1),
% 0.75/1.14 alpha12 [103, 3] (w:1, o:157, a:1, s:1, b:1),
% 4.51/4.94 alpha13 [104, 2] (w:1, o:122, a:1, s:1, b:1),
% 4.51/4.94 alpha14 [105, 2] (w:1, o:123, a:1, s:1, b:1),
% 4.51/4.94 alpha15 [106, 2] (w:1, o:124, a:1, s:1, b:1),
% 4.51/4.94 alpha16 [107, 3] (w:1, o:158, a:1, s:1, b:1),
% 4.51/4.94 alpha17 [108, 3] (w:1, o:159, a:1, s:1, b:1),
% 4.51/4.94 alpha18 [109, 3] (w:1, o:160, a:1, s:1, b:1),
% 4.51/4.94 alpha19 [110, 2] (w:1, o:125, a:1, s:1, b:1),
% 4.51/4.94 alpha20 [111, 2] (w:1, o:113, a:1, s:1, b:1),
% 4.51/4.94 alpha21 [112, 2] (w:1, o:114, a:1, s:1, b:1),
% 4.51/4.94 alpha22 [113, 3] (w:1, o:166, a:1, s:1, b:1),
% 4.51/4.94 alpha23 [114, 3] (w:1, o:167, a:1, s:1, b:1),
% 4.51/4.94 alpha24 [115, 3] (w:1, o:168, a:1, s:1, b:1),
% 4.51/4.94 alpha25 [116, 2] (w:1, o:115, a:1, s:1, b:1),
% 4.51/4.94 alpha26 [117, 2] (w:1, o:116, a:1, s:1, b:1),
% 4.51/4.94 alpha27 [118, 2] (w:1, o:117, a:1, s:1, b:1),
% 4.51/4.94 alpha28 [119, 4] (w:1, o:189, a:1, s:1, b:1),
% 4.51/4.94 alpha29 [120, 2] (w:1, o:118, a:1, s:1, b:1),
% 4.51/4.94 alpha30 [121, 2] (w:1, o:126, a:1, s:1, b:1),
% 4.51/4.94 alpha31 [122, 2] (w:1, o:127, a:1, s:1, b:1),
% 4.51/4.94 alpha32 [123, 2] (w:1, o:128, a:1, s:1, b:1),
% 4.51/4.94 alpha33 [124, 4] (w:1, o:190, a:1, s:1, b:1),
% 4.51/4.94 alpha34 [125, 4] (w:1, o:191, a:1, s:1, b:1),
% 4.51/4.94 alpha35 [126, 2] (w:1, o:129, a:1, s:1, b:1),
% 4.51/4.94 alpha36 [127, 4] (w:1, o:192, a:1, s:1, b:1),
% 4.51/4.94 alpha37 [128, 4] (w:1, o:193, a:1, s:1, b:1),
% 4.51/4.94 alpha38 [129, 4] (w:1, o:194, a:1, s:1, b:1),
% 4.51/4.94 alpha39 [130, 5] (w:1, o:223, a:1, s:1, b:1),
% 4.51/4.94 alpha40 [131, 4] (w:1, o:195, a:1, s:1, b:1),
% 4.51/4.94 alpha41 [132, 4] (w:1, o:196, a:1, s:1, b:1),
% 4.51/4.94 alpha42 [133, 4] (w:1, o:197, a:1, s:1, b:1),
% 4.51/4.94 alpha43 [134, 4] (w:1, o:198, a:1, s:1, b:1),
% 4.51/4.94 alpha44 [135, 4] (w:1, o:199, a:1, s:1, b:1),
% 4.51/4.94 alpha45 [136, 5] (w:1, o:224, a:1, s:1, b:1),
% 4.51/4.94 alpha46 [137, 4] (w:1, o:200, a:1, s:1, b:1),
% 4.51/4.94 alpha47 [138, 4] (w:1, o:201, a:1, s:1, b:1),
% 4.51/4.94 alpha48 [139, 6] (w:1, o:225, a:1, s:1, b:1),
% 4.51/4.94 alpha49 [140, 4] (w:1, o:202, a:1, s:1, b:1),
% 4.51/4.94 skol1 [141, 3] (w:1, o:169, a:1, s:1, b:1),
% 4.51/4.94 skol2 [142, 3] (w:1, o:171, a:1, s:1, b:1),
% 4.51/4.94 skol3 [143, 3] (w:1, o:173, a:1, s:1, b:1),
% 4.51/4.94 skol4 [144, 3] (w:1, o:178, a:1, s:1, b:1),
% 4.51/4.94 skol5 [145, 1] (w:1, o:68, a:1, s:1, b:1),
% 4.51/4.94 skol6 [146, 4] (w:1, o:203, a:1, s:1, b:1),
% 4.51/4.94 skol7 [147, 4] (w:1, o:207, a:1, s:1, b:1),
% 4.51/4.94 skol8 [148, 4] (w:1, o:209, a:1, s:1, b:1),
% 4.51/4.94 skol9 [149, 4] (w:1, o:210, a:1, s:1, b:1),
% 4.51/4.94 skol10 [150, 4] (w:1, o:211, a:1, s:1, b:1),
% 4.51/4.94 skol11 [151, 4] (w:1, o:212, a:1, s:1, b:1),
% 4.51/4.94 skol12 [152, 4] (w:1, o:213, a:1, s:1, b:1),
% 4.51/4.94 skol13 [153, 4] (w:1, o:214, a:1, s:1, b:1),
% 4.51/4.94 skol14 [154, 4] (w:1, o:215, a:1, s:1, b:1),
% 4.51/4.94 skol15 [155, 4] (w:1, o:216, a:1, s:1, b:1),
% 4.51/4.94 skol16 [156, 4] (w:1, o:217, a:1, s:1, b:1),
% 4.51/4.94 skol17 [157, 4] (w:1, o:218, a:1, s:1, b:1),
% 4.51/4.94 skol18 [158, 3] (w:1, o:170, a:1, s:1, b:1),
% 4.51/4.94 skol19 [159, 1] (w:1, o:69, a:1, s:1, b:1),
% 4.51/4.94 skol20 [160, 3] (w:1, o:172, a:1, s:1, b:1),
% 4.51/4.94 skol21 [161, 1] (w:1, o:70, a:1, s:1, b:1),
% 4.51/4.94 skol22 [162, 1] (w:1, o:71, a:1, s:1, b:1),
% 4.51/4.94 skol23 [163, 1] (w:1, o:72, a:1, s:1, b:1),
% 4.51/4.94 skol24 [164, 2] (w:1, o:130, a:1, s:1, b:1),
% 4.51/4.94 skol25 [165, 2] (w:1, o:131, a:1, s:1, b:1),
% 4.51/4.94 skol26 [166, 2] (w:1, o:132, a:1, s:1, b:1),
% 4.51/4.94 skol27 [167, 2] (w:1, o:133, a:1, s:1, b:1),
% 4.51/4.94 skol28 [168, 1] (w:1, o:73, a:1, s:1, b:1),
% 4.51/4.94 skol29 [169, 2] (w:1, o:134, a:1, s:1, b:1),
% 4.51/4.94 skol30 [170, 2] (w:1, o:135, a:1, s:1, b:1),
% 4.51/4.94 skol31 [171, 2] (w:1, o:136, a:1, s:1, b:1),
% 4.51/4.94 skol32 [172, 2] (w:1, o:137, a:1, s:1, b:1),
% 4.51/4.94 skol33 [173, 1] (w:1, o:74, a:1, s:1, b:1),
% 4.51/4.94 skol34 [174, 1] (w:1, o:75, a:1, s:1, b:1),
% 4.51/4.94 skol35 [175, 3] (w:1, o:174, a:1, s:1, b:1),
% 4.51/4.94 skol36 [176, 3] (w:1, o:175, a:1, s:1, b:1),
% 4.51/4.94 skol37 [177, 3] (w:1, o:176, a:1, s:1, b:1),
% 4.51/4.94 skol38 [178, 0] (w:1, o:45, a:1, s:1, b:1),
% 4.51/4.94 skol39 [179, 3] (w:1, o:177, a:1, s:1, b:1),
% 4.51/4.94 skol40 [180, 3] (w:1, o:179, a:1, s:1, b:1),
% 4.51/4.94 skol41 [181, 4] (w:1, o:219, a:1, s:1, b:1),
% 4.51/4.94 skol42 [182, 4] (w:1, o:220, a:1, s:1, b:1),
% 6.25/6.65 skol43 [183, 4] (w:1, o:221, a:1, s:1, b:1),
% 6.25/6.65 skol44 [184, 4] (w:1, o:222, a:1, s:1, b:1),
% 6.25/6.65 skol45 [185, 3] (w:1, o:180, a:1, s:1, b:1),
% 6.25/6.65 skol46 [186, 1] (w:1, o:65, a:1, s:1, b:1),
% 6.25/6.65 skol47 [187, 1] (w:1, o:66, a:1, s:1, b:1),
% 6.25/6.65 skol48 [188, 1] (w:1, o:67, a:1, s:1, b:1),
% 6.25/6.65 skol49 [189, 2] (w:1, o:138, a:1, s:1, b:1),
% 6.25/6.65 skol50 [190, 1] (w:1, o:76, a:1, s:1, b:1),
% 6.25/6.65 skol51 [191, 2] (w:1, o:139, a:1, s:1, b:1),
% 6.25/6.65 skol52 [192, 2] (w:1, o:140, a:1, s:1, b:1),
% 6.25/6.65 skol53 [193, 2] (w:1, o:141, a:1, s:1, b:1),
% 6.25/6.65 skol54 [194, 1] (w:1, o:77, a:1, s:1, b:1),
% 6.25/6.65 skol55 [195, 3] (w:1, o:181, a:1, s:1, b:1),
% 6.25/6.65 skol56 [196, 3] (w:1, o:182, a:1, s:1, b:1),
% 6.25/6.65 skol57 [197, 0] (w:1, o:46, a:1, s:1, b:1),
% 6.25/6.65 skol58 [198, 3] (w:1, o:183, a:1, s:1, b:1),
% 6.25/6.65 skol59 [199, 3] (w:1, o:184, a:1, s:1, b:1),
% 6.25/6.65 skol60 [200, 4] (w:1, o:204, a:1, s:1, b:1),
% 6.25/6.65 skol61 [201, 4] (w:1, o:205, a:1, s:1, b:1),
% 6.25/6.65 skol62 [202, 4] (w:1, o:206, a:1, s:1, b:1),
% 6.25/6.65 skol63 [203, 3] (w:1, o:185, a:1, s:1, b:1),
% 6.25/6.65 skol64 [204, 1] (w:1, o:78, a:1, s:1, b:1),
% 6.25/6.65 skol65 [205, 1] (w:1, o:79, a:1, s:1, b:1),
% 6.25/6.65 skol66 [206, 1] (w:1, o:80, a:1, s:1, b:1),
% 6.25/6.65 skol67 [207, 2] (w:1, o:142, a:1, s:1, b:1),
% 6.25/6.65 skol68 [208, 1] (w:1, o:81, a:1, s:1, b:1),
% 6.25/6.65 skol69 [209, 2] (w:1, o:143, a:1, s:1, b:1),
% 6.25/6.65 skol70 [210, 2] (w:1, o:144, a:1, s:1, b:1),
% 6.25/6.65 skol71 [211, 2] (w:1, o:145, a:1, s:1, b:1),
% 6.25/6.65 skol72 [212, 1] (w:1, o:82, a:1, s:1, b:1),
% 6.25/6.65 skol73 [213, 3] (w:1, o:186, a:1, s:1, b:1),
% 6.25/6.65 skol74 [214, 3] (w:1, o:187, a:1, s:1, b:1),
% 6.25/6.65 skol75 [215, 0] (w:1, o:47, a:1, s:1, b:1),
% 6.25/6.65 skol76 [216, 4] (w:1, o:208, a:1, s:1, b:1),
% 6.25/6.65 skol77 [217, 1] (w:1, o:83, a:1, s:1, b:1),
% 6.25/6.65 skol78 [218, 2] (w:1, o:146, a:1, s:1, b:1),
% 6.25/6.65 skol79 [219, 2] (w:1, o:147, a:1, s:1, b:1),
% 6.25/6.65 skol80 [220, 2] (w:1, o:148, a:1, s:1, b:1),
% 6.25/6.65 skol81 [221, 3] (w:1, o:188, a:1, s:1, b:1),
% 6.25/6.65 skol82 [222, 0] (w:1, o:48, a:1, s:1, b:1),
% 6.25/6.65 skol83 [223, 2] (w:1, o:149, a:1, s:1, b:1),
% 6.25/6.65 skol84 [224, 2] (w:1, o:150, a:1, s:1, b:1),
% 6.25/6.65 skol85 [225, 0] (w:1, o:49, a:1, s:1, b:1).
% 6.25/6.65
% 6.25/6.65
% 6.25/6.65 Starting Search:
% 6.25/6.65
% 6.25/6.65 *** allocated 22500 integers for clauses
% 6.25/6.65 *** allocated 33750 integers for clauses
% 6.25/6.65 *** allocated 22500 integers for termspace/termends
% 6.25/6.65 *** allocated 50625 integers for clauses
% 6.25/6.65 *** allocated 75937 integers for clauses
% 6.25/6.65 *** allocated 33750 integers for termspace/termends
% 6.25/6.65 Resimplifying inuse:
% 6.25/6.65 Done
% 6.25/6.65
% 6.25/6.65 *** allocated 113905 integers for clauses
% 6.25/6.65 *** allocated 50625 integers for termspace/termends
% 6.25/6.65
% 6.25/6.65 Intermediate Status:
% 6.25/6.65 Generated: 6499
% 6.25/6.65 Kept: 2026
% 6.25/6.65 Inuse: 91
% 6.25/6.65 Deleted: 0
% 6.25/6.65 Deletedinuse: 0
% 6.25/6.65
% 6.25/6.65 Resimplifying inuse:
% 6.25/6.65 Done
% 6.25/6.65
% 6.25/6.65 *** allocated 170857 integers for clauses
% 6.25/6.65 *** allocated 75937 integers for termspace/termends
% 6.25/6.65 Resimplifying inuse:
% 6.25/6.65 Done
% 6.25/6.65
% 6.25/6.65 *** allocated 256285 integers for clauses
% 6.25/6.65 *** allocated 113905 integers for termspace/termends
% 6.25/6.65
% 6.25/6.65 Intermediate Status:
% 6.25/6.65 Generated: 15664
% 6.25/6.65 Kept: 4343
% 6.25/6.65 Inuse: 154
% 6.25/6.65 Deleted: 2
% 6.25/6.65 Deletedinuse: 0
% 6.25/6.65
% 6.25/6.65 Resimplifying inuse:
% 6.25/6.65 Done
% 6.25/6.65
% 6.25/6.65 Resimplifying inuse:
% 6.25/6.65 Done
% 6.25/6.65
% 6.25/6.65 *** allocated 384427 integers for clauses
% 6.25/6.65 *** allocated 170857 integers for termspace/termends
% 6.25/6.65
% 6.25/6.65 Intermediate Status:
% 6.25/6.65 Generated: 30271
% 6.25/6.65 Kept: 6619
% 6.25/6.65 Inuse: 198
% 6.25/6.65 Deleted: 4
% 6.25/6.65 Deletedinuse: 1
% 6.25/6.65
% 6.25/6.65 Resimplifying inuse:
% 6.25/6.65 Done
% 6.25/6.65
% 6.25/6.65 Resimplifying inuse:
% 6.25/6.65 Done
% 6.25/6.65
% 6.25/6.65 *** allocated 576640 integers for clauses
% 6.25/6.65 *** allocated 256285 integers for termspace/termends
% 6.25/6.65
% 6.25/6.65 Intermediate Status:
% 6.25/6.65 Generated: 38110
% 6.25/6.65 Kept: 8831
% 6.25/6.65 Inuse: 284
% 6.25/6.65 Deleted: 9
% 6.25/6.65 Deletedinuse: 2
% 6.25/6.65
% 6.25/6.65 Resimplifying inuse:
% 6.25/6.65 Done
% 6.25/6.65
% 6.25/6.65 Resimplifying inuse:
% 6.25/6.65 Done
% 6.25/6.65
% 6.25/6.65 *** allocated 384427 integers for termspace/termends
% 6.25/6.65
% 6.25/6.65 Intermediate Status:
% 6.25/6.65 Generated: 77531
% 6.25/6.65 Kept: 11604
% 6.25/6.65 Inuse: 312
% 6.25/6.65 Deleted: 12
% 6.25/6.65 Deletedinuse: 3
% 6.25/6.65
% 6.25/6.65 Resimplifying inuse:
% 6.25/6.65 Done
% 6.25/6.65
% 6.25/6.65 *** allocated 864960 integers for clauses
% 6.25/6.65 Resimplifying inuse:
% 6.25/6.65 Done
% 6.25/6.65
% 6.25/6.65
% 6.25/6.65 Intermediate Status:
% 6.25/6.65 Generated: 101478
% 6.25/6.65 Kept: 13811
% 6.25/6.65 Inuse: 361
% 6.25/6.65 Deleted: 18
% 6.25/6.65 Deletedinuse: 3
% 6.25/6.65
% 6.25/6.65 Resimplifying inuse:
% 6.25/6.65 Done
% 6.25/6.65
% 6.25/6.65 *** allocated 576640 integers for termspace/termends
% 6.25/6.65 Resimplifying inuse:
% 6.25/6.65 Done
% 6.25/6.65
% 6.25/6.65
% 6.25/6.65 Intermediate Status:
% 6.25/6.65 Generated: 110774
% 6.25/6.65 Kept: 15908
% 6.25/6.65 Inuse: 431
% 6.25/6.65 Deleted: 18
% 6.25/6.65 Deletedinuse: 3
% 6.25/6.65
% 6.25/6.65 Resimplifying inuse:
% 6.25/6.65 Done
% 6.25/6.65
% 6.25/6.65 Resimplifying inuse:
% 6.25/6.65 Done
% 6.25/6.65
% 6.25/6.65
% 6.25/6.65 Intermediate Status:
% 6.25/6.65 Generated: 120716
% 6.25/6.65 Kept: 17928
% 6.25/6.65 Inuse: 496
% 6.25/6.65 Deleted: 23
% 6.25/6.65 Deletedinuse: 4
% 6.25/6.65
% 6.25/6.65 Resimplifying inuse:
% 6.25/6.65 Done
% 6.25/6.65
% 6.25/6.65 *** allocated 1297440 integers for clauses
% 6.25/6.65 Resimplifying inuse:
% 6.25/6.65 Done
% 6.25/6.65
% 6.25/6.65
% 6.25/6.65 Intermediate Status:
% 6.25/6.65 Generated: 131395
% 6.25/6.65 Kept: 20015
% 6.25/6.65 Inuse: 557
% 6.25/6.65 Deleted: 24
% 6.25/6.65 Deletedinuse: 5
% 6.25/6.65
% 6.25/6.65 Resimplifying inuse:
% 6.25/6.65 Done
% 6.25/6.65
% 6.25/6.65 Resimplifying clauses:
% 6.25/6.65 Done
% 6.25/6.65
% 6.25/6.65
% 6.25/6.65 Bliksems!, er is een bewijs:
% 6.25/6.65 % SZS status Theorem
% 6.25/6.65 % SZS output start Refutation
% 6.25/6.65
% 6.25/6.65 (147) {G0,W4,D3,L1,V1,M1} I { ! vsomeExp( X ) ==> vnoExp }.
% 6.25/6.65 (152) {G0,W13,D3,L3,V5,M3} I { ! X = vabs( Y, Z, T ), ! U = vreduce( X ), U
% 6.25/6.65 = vnoExp }.
% 6.25/6.65 (247) {G0,W8,D4,L1,V0,M1} I { vreduce( vabs( skol82, skol85, ve1 ) ) ==>
% 6.25/6.65 vsomeExp( skol57 ) }.
% 6.25/6.65 (523) {G1,W10,D3,L2,V4,M2} Q(152) { ! X = vabs( Y, Z, T ), vreduce( X ) ==>
% 6.25/6.65 vnoExp }.
% 6.25/6.65 (524) {G2,W7,D4,L1,V3,M1} Q(523) { vreduce( vabs( X, Y, Z ) ) ==> vnoExp
% 6.25/6.65 }.
% 6.25/6.65 (20016) {G3,W4,D3,L1,V0,M1} S(247);d(524) { vsomeExp( skol57 ) ==> vnoExp
% 6.25/6.65 }.
% 6.25/6.65 (20018) {G4,W0,D0,L0,V0,M0} S(20016);r(147) { }.
% 6.25/6.65
% 6.25/6.65
% 6.25/6.65 % SZS output end Refutation
% 6.25/6.65 found a proof!
% 6.25/6.65
% 6.25/6.65
% 6.25/6.65 Unprocessed initial clauses:
% 6.25/6.65
% 6.25/6.65 (20020) {G0,W8,D3,L2,V2,M2} { ! vvar( X ) = vvar( Y ), X = Y }.
% 6.25/6.65 (20021) {G0,W8,D3,L2,V2,M2} { ! X = Y, vvar( X ) = vvar( Y ) }.
% 6.25/6.65 (20022) {G0,W12,D3,L2,V6,M2} { ! vabs( X, Y, Z ) = vabs( T, U, W ), X = T
% 6.25/6.65 }.
% 6.25/6.65 (20023) {G0,W12,D3,L2,V6,M2} { ! vabs( X, Y, Z ) = vabs( T, U, W ), Y = U
% 6.25/6.65 }.
% 6.25/6.65 (20024) {G0,W12,D3,L2,V6,M2} { ! vabs( X, Y, Z ) = vabs( T, U, W ), Z = W
% 6.25/6.65 }.
% 6.25/6.65 (20025) {G0,W18,D3,L4,V6,M4} { ! X = T, ! Y = U, ! Z = W, vabs( X, Y, Z )
% 6.25/6.65 = vabs( T, U, W ) }.
% 6.25/6.65 (20026) {G0,W10,D3,L2,V4,M2} { ! vapp( X, Y ) = vapp( Z, T ), X = Z }.
% 6.25/6.65 (20027) {G0,W10,D3,L2,V4,M2} { ! vapp( X, Y ) = vapp( Z, T ), Y = T }.
% 6.25/6.65 (20028) {G0,W13,D3,L3,V4,M3} { ! X = Z, ! Y = T, vapp( X, Y ) = vapp( Z, T
% 6.25/6.65 ) }.
% 6.25/6.65 (20029) {G0,W7,D3,L1,V4,M1} { ! vvar( X ) = vabs( Y, Z, T ) }.
% 6.25/6.65 (20030) {G0,W6,D3,L1,V3,M1} { ! vvar( X ) = vapp( Y, Z ) }.
% 6.25/6.65 (20031) {G0,W8,D3,L1,V5,M1} { ! vabs( X, Y, Z ) = vapp( T, U ) }.
% 6.25/6.65 (20032) {G0,W8,D3,L2,V4,M2} { ! X = vabs( Y, Z, T ), visValue( X ) }.
% 6.25/6.65 (20033) {G0,W6,D3,L2,V2,M2} { ! X = vvar( Y ), ! visValue( X ) }.
% 6.25/6.65 (20034) {G0,W7,D3,L2,V3,M2} { ! X = vapp( Y, Z ), ! visValue( X ) }.
% 6.25/6.65 (20035) {G0,W13,D3,L4,V4,M4} { ! X = T, ! Y = vvar( Z ), ! Z = T,
% 6.25/6.65 visFreeVar( X, Y ) }.
% 6.25/6.65 (20036) {G0,W13,D3,L4,V4,M4} { ! X = T, ! Y = vvar( Z ), ! visFreeVar( X,
% 6.25/6.65 Y ), Z = T }.
% 6.25/6.65 (20037) {G0,W18,D3,L5,V6,M5} { ! X = T, ! Y = vabs( Z, W, U ), Z = T, !
% 6.25/6.65 visFreeVar( T, U ), visFreeVar( X, Y ) }.
% 6.25/6.65 (20038) {G0,W15,D3,L4,V6,M4} { ! X = T, ! Y = vabs( Z, W, U ), !
% 6.25/6.65 visFreeVar( X, Y ), ! Z = T }.
% 6.25/6.65 (20039) {G0,W15,D3,L4,V6,M4} { ! X = T, ! Y = vabs( Z, W, U ), !
% 6.25/6.65 visFreeVar( X, Y ), visFreeVar( T, U ) }.
% 6.25/6.65 (20040) {G0,W14,D3,L4,V5,M4} { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar(
% 6.25/6.65 T, Z ), visFreeVar( X, Y ) }.
% 6.25/6.65 (20041) {G0,W14,D3,L4,V5,M4} { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar(
% 6.25/6.65 T, U ), visFreeVar( X, Y ) }.
% 6.25/6.65 (20042) {G0,W17,D3,L5,V5,M5} { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar(
% 6.25/6.65 X, Y ), visFreeVar( T, Z ), visFreeVar( T, U ) }.
% 6.25/6.65 (20043) {G0,W4,D2,L2,V0,M2} { ! &&, vempty = vempty }.
% 6.25/6.65 (20044) {G0,W12,D3,L2,V6,M2} { ! vbind( X, Y, Z ) = vbind( T, U, W ), X =
% 6.25/6.65 T }.
% 6.25/6.65 (20045) {G0,W12,D3,L2,V6,M2} { ! vbind( X, Y, Z ) = vbind( T, U, W ), Y =
% 6.25/6.65 U }.
% 6.25/6.65 (20046) {G0,W12,D3,L2,V6,M2} { ! vbind( X, Y, Z ) = vbind( T, U, W ), Z =
% 6.25/6.65 W }.
% 6.25/6.65 (20047) {G0,W18,D3,L4,V6,M4} { ! X = T, ! Y = U, ! Z = W, vbind( X, Y, Z )
% 6.25/6.65 = vbind( T, U, W ) }.
% 6.25/6.65 (20048) {G0,W4,D2,L2,V0,M2} { ! &&, vnoType = vnoType }.
% 6.25/6.65 (20049) {G0,W8,D3,L2,V2,M2} { ! vsomeType( X ) = vsomeType( Y ), X = Y }.
% 6.25/6.65 (20050) {G0,W8,D3,L2,V2,M2} { ! X = Y, vsomeType( X ) = vsomeType( Y ) }.
% 6.25/6.65 (20051) {G0,W6,D3,L1,V3,M1} { ! vempty = vbind( X, Y, Z ) }.
% 6.25/6.65 (20052) {G0,W4,D3,L1,V1,M1} { ! vnoType = vsomeType( X ) }.
% 6.25/6.65 (20053) {G0,W5,D2,L2,V1,M2} { ! X = vnoType, ! visSomeType( X ) }.
% 6.25/6.65 (20054) {G0,W6,D3,L2,V2,M2} { ! X = vsomeType( Y ), visSomeType( X ) }.
% 6.25/6.65 (20055) {G0,W11,D3,L3,V3,M3} { ! X = vsomeType( Y ), ! Z = vgetSomeType( X
% 6.25/6.65 ), Z = Y }.
% 6.25/6.65 (20056) {G0,W14,D3,L4,V4,M4} { ! X = Z, ! Y = vempty, ! T = vlookup( X, Y
% 6.25/6.65 ), T = vnoType }.
% 6.25/6.65 (20057) {G0,W21,D3,L5,V7,M5} { ! Z = X, ! T = vbind( Y, U, W ), ! X = Y, !
% 6.25/6.65 V0 = vlookup( Z, T ), V0 = vsomeType( U ) }.
% 6.25/6.65 (20058) {G0,W22,D3,L5,V7,M5} { ! Y = T, ! Z = vbind( X, W, U ), T = X, !
% 6.25/6.65 V0 = vlookup( Y, Z ), V0 = vlookup( T, U ) }.
% 6.25/6.65 (20059) {G0,W10,D3,L2,V5,M2} { alpha5( X, Y, Z ), X = skol1( X, T, U ) }.
% 6.25/6.65 (20060) {G0,W11,D3,L2,V3,M2} { alpha5( X, Y, Z ), alpha10( Y, Z, skol1( X
% 6.25/6.65 , Y, Z ) ) }.
% 6.25/6.65 (20061) {G0,W12,D4,L2,V4,M2} { ! alpha10( X, Y, Z ), Y = vlookup( Z,
% 6.25/6.65 skol39( T, Y, Z ) ) }.
% 6.25/6.65 (20062) {G0,W10,D3,L2,V3,M2} { ! alpha10( X, Y, Z ), ! Z = skol2( X, Y, Z
% 6.25/6.65 ) }.
% 6.25/6.65 (20063) {G0,W19,D4,L2,V3,M2} { ! alpha10( X, Y, Z ), X = vbind( skol2( X,
% 6.25/6.65 Y, Z ), skol58( X, Y, Z ), skol39( X, Y, Z ) ) }.
% 6.25/6.65 (20064) {G0,W18,D3,L4,V6,M4} { ! X = vbind( T, W, U ), Z = T, ! Y =
% 6.25/6.65 vlookup( Z, U ), alpha10( X, Y, Z ) }.
% 6.25/6.65 (20065) {G0,W12,D2,L3,V3,M3} { ! alpha5( X, Y, Z ), alpha11( X, Y, Z ),
% 6.25/6.65 alpha17( X, Y, Z ) }.
% 6.25/6.65 (20066) {G0,W8,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha5( X, Y, Z ) }.
% 6.25/6.65 (20067) {G0,W8,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha5( X, Y, Z ) }.
% 6.25/6.65 (20068) {G0,W10,D3,L2,V5,M2} { ! alpha17( X, Y, Z ), X = skol3( X, T, U )
% 6.25/6.65 }.
% 6.25/6.65 (20069) {G0,W11,D3,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha22( Y, Z, skol3
% 6.25/6.65 ( X, Y, Z ) ) }.
% 6.25/6.65 (20070) {G0,W11,D2,L3,V4,M3} { ! X = T, ! alpha22( Y, Z, T ), alpha17( X,
% 6.25/6.65 Y, Z ) }.
% 6.25/6.65 (20071) {G0,W11,D4,L2,V5,M2} { ! alpha22( X, Y, Z ), Y = vsomeType( skol40
% 6.25/6.65 ( T, Y, U ) ) }.
% 6.25/6.65 (20072) {G0,W10,D3,L2,V3,M2} { ! alpha22( X, Y, Z ), Z = skol4( X, Y, Z )
% 6.25/6.65 }.
% 6.25/6.65 (20073) {G0,W19,D4,L2,V3,M2} { ! alpha22( X, Y, Z ), X = vbind( skol4( X,
% 6.25/6.65 Y, Z ), skol40( X, Y, Z ), skol59( X, Y, Z ) ) }.
% 6.25/6.65 (20074) {G0,W17,D3,L4,V6,M4} { ! X = vbind( T, U, W ), ! Z = T, ! Y =
% 6.25/6.65 vsomeType( U ), alpha22( X, Y, Z ) }.
% 6.25/6.65 (20075) {G0,W12,D3,L3,V3,M3} { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z
% 6.25/6.65 , alpha1( X, Y ) }.
% 6.25/6.65 (20076) {G0,W12,D3,L3,V3,M3} { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z
% 6.25/6.65 , Z = vnoType }.
% 6.25/6.65 (20077) {G0,W9,D3,L2,V3,M2} { vlookup( X, Y ) = Z, alpha11( X, Y, Z ) }.
% 6.25/6.65 (20078) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y ), ! Z = vnoType, alpha11( X
% 6.25/6.65 , Y, Z ) }.
% 6.25/6.65 (20079) {G0,W7,D3,L2,V2,M2} { ! alpha1( X, Y ), X = skol5( X ) }.
% 6.25/6.65 (20080) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), Y = vempty }.
% 6.25/6.65 (20081) {G0,W9,D2,L3,V3,M3} { ! X = Z, ! Y = vempty, alpha1( X, Y ) }.
% 6.25/6.65 (20082) {G0,W20,D4,L3,V7,M3} { ! X = W, ! vtcheck( vbind( X, Y, vbind( W,
% 6.25/6.65 V0, Z ) ), T, U ), vtcheck( vbind( X, Y, Z ), T, U ) }.
% 6.25/6.65 (20083) {G0,W23,D4,L3,V7,M3} { Z = X, ! vtcheck( vbind( Z, T, vbind( X, Y
% 6.25/6.65 , U ) ), W, V0 ), vtcheck( vbind( X, Y, vbind( Z, T, U ) ), W, V0 ) }.
% 6.25/6.65 (20084) {G0,W7,D3,L2,V2,M2} { ! vgensym( Y ) = X, ! visFreeVar( X, Y ) }.
% 6.25/6.65 (20085) {G0,W22,D3,L6,V7,M6} { ! Z = X, ! T = W, ! U = vvar( Y ), ! X = Y
% 6.25/6.65 , ! V0 = vsubst( Z, T, U ), V0 = W }.
% 6.25/6.65 (20086) {G0,W23,D3,L6,V7,M6} { ! Y = X, ! Z = W, ! T = vvar( U ), X = U, !
% 6.25/6.65 V0 = vsubst( Y, Z, T ), V0 = vvar( U ) }.
% 6.25/6.65 (20087) {G0,W28,D4,L5,V8,M5} { ! X = U, ! Y = W, ! Z = vapp( T, V0 ), ! V1
% 6.25/6.65 = vsubst( X, Y, Z ), V1 = vapp( vsubst( U, W, T ), vsubst( U, W, V0 ) )
% 6.25/6.65 }.
% 6.25/6.65 (20088) {G0,W27,D3,L6,V9,M6} { ! Y = X, ! Z = V1, ! T = vabs( U, W, V0 ),
% 6.25/6.65 ! X = U, ! V2 = vsubst( Y, Z, T ), V2 = vabs( U, W, V0 ) }.
% 6.25/6.65 (20089) {G0,W46,D6,L8,V10,M8} { ! X = T, ! Y = U, ! Z = vabs( V0, W, V1 )
% 6.25/6.65 , T = V0, ! visFreeVar( V0, U ), ! V2 = vgensym( vapp( vapp( U, V1 ),
% 6.25/6.65 vvar( T ) ) ), ! V3 = vsubst( X, Y, Z ), V3 = vsubst( T, U, vabs( V2, W,
% 6.25/6.65 vsubst( V0, vvar( V2 ), V1 ) ) ) }.
% 6.25/6.65 (20090) {G0,W33,D4,L7,V9,M7} { ! X = W, ! Y = V0, ! Z = vabs( T, U, V1 ),
% 6.25/6.65 W = T, visFreeVar( T, V0 ), ! V2 = vsubst( X, Y, Z ), V2 = vabs( T, U,
% 6.25/6.65 vsubst( W, V0, V1 ) ) }.
% 6.25/6.65 (20091) {G0,W12,D3,L2,V7,M2} { alpha28( X, Y, Z, T ), X = skol6( X, U, W,
% 6.25/6.65 V0 ) }.
% 6.25/6.65 (20092) {G0,W14,D3,L2,V4,M2} { alpha28( X, Y, Z, T ), alpha33( Y, Z, T,
% 6.25/6.65 skol6( X, Y, Z, T ) ) }.
% 6.25/6.65 (20093) {G0,W12,D3,L2,V7,M2} { ! alpha33( X, Y, Z, T ), X = skol7( X, U, W
% 6.25/6.65 , V0 ) }.
% 6.25/6.65 (20094) {G0,W14,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T ), alpha36( Y, Z, T,
% 6.25/6.65 skol7( X, Y, Z, T ) ) }.
% 6.25/6.65 (20095) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha36( Y, Z, T, U ), alpha33(
% 6.25/6.65 X, Y, Z, T ) }.
% 6.25/6.65 (20096) {G0,W23,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T ), alpha39( X, Z,
% 6.25/6.65 skol8( X, Y, Z, T ), skol41( X, Y, Z, T ), skol60( X, Y, Z, T ) ) }.
% 6.25/6.65 (20097) {G0,W12,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T ), ! visFreeVar(
% 6.25/6.65 skol8( X, Y, Z, T ), T ) }.
% 6.25/6.65 (20098) {G0,W26,D5,L2,V4,M2} { ! alpha36( X, Y, Z, T ), Y = vabs( skol8( X
% 6.25/6.65 , Y, Z, T ), skol41( X, Y, Z, T ), vsubst( Z, T, skol60( X, Y, Z, T ) ) )
% 6.25/6.65 }.
% 6.25/6.65 (20099) {G0,W23,D4,L4,V7,M4} { ! alpha39( X, Z, U, W, V0 ), visFreeVar( U
% 6.25/6.65 , T ), ! Y = vabs( U, W, vsubst( Z, T, V0 ) ), alpha36( X, Y, Z, T ) }.
% 6.25/6.65 (20100) {G0,W12,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U ), X = vabs( Z, T
% 6.25/6.65 , U ) }.
% 6.25/6.65 (20101) {G0,W9,D2,L2,V5,M2} { ! alpha39( X, Y, Z, T, U ), ! Y = Z }.
% 6.25/6.65 (20102) {G0,W15,D3,L3,V5,M3} { ! X = vabs( Z, T, U ), Y = Z, alpha39( X, Y
% 6.25/6.65 , Z, T, U ) }.
% 6.25/6.65 (20103) {G0,W15,D2,L3,V4,M3} { ! alpha28( X, Y, Z, T ), alpha34( X, Y, Z,
% 6.25/6.65 T ), alpha37( X, Y, Z, T ) }.
% 6.25/6.65 (20104) {G0,W10,D2,L2,V4,M2} { ! alpha34( X, Y, Z, T ), alpha28( X, Y, Z,
% 6.25/6.65 T ) }.
% 6.25/6.65 (20105) {G0,W10,D2,L2,V4,M2} { ! alpha37( X, Y, Z, T ), alpha28( X, Y, Z,
% 6.25/6.65 T ) }.
% 6.25/6.65 (20106) {G0,W12,D3,L2,V7,M2} { ! alpha37( X, Y, Z, T ), X = skol9( X, U, W
% 6.25/6.65 , V0 ) }.
% 6.25/6.65 (20107) {G0,W14,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T ), alpha40( Y, Z, T,
% 6.25/6.65 skol9( X, Y, Z, T ) ) }.
% 6.25/6.65 (20108) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha40( Y, Z, T, U ), alpha37(
% 6.25/6.65 X, Y, Z, T ) }.
% 6.25/6.65 (20109) {G0,W12,D3,L2,V7,M2} { ! alpha40( X, Y, Z, T ), X = skol10( X, U,
% 6.25/6.65 W, V0 ) }.
% 6.25/6.65 (20110) {G0,W14,D3,L2,V4,M2} { ! alpha40( X, Y, Z, T ), alpha42( Y, Z, T,
% 6.25/6.65 skol10( X, Y, Z, T ) ) }.
% 6.25/6.65 (20111) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha42( Y, Z, T, U ), alpha40(
% 6.25/6.65 X, Y, Z, T ) }.
% 6.25/6.65 (20112) {G0,W24,D3,L2,V4,M2} { ! alpha42( X, Y, Z, T ), alpha48( X, Z, T,
% 6.25/6.65 skol11( X, Y, Z, T ), skol42( X, Y, Z, T ), skol61( X, Y, Z, T ) ) }.
% 6.25/6.65 (20113) {G0,W22,D6,L2,V4,M2} { ! alpha42( X, Y, Z, T ), skol76( X, Y, Z, T
% 6.25/6.65 ) = vgensym( vapp( vapp( T, skol61( X, Y, Z, T ) ), vvar( Z ) ) ) }.
% 6.25/6.65 (20114) {G0,W38,D7,L2,V4,M2} { ! alpha42( X, Y, Z, T ), Y = vsubst( Z, T,
% 6.25/6.65 vabs( skol76( X, Y, Z, T ), skol11( X, Y, Z, T ), vsubst( skol42( X, Y, Z
% 6.25/6.65 , T ), vvar( skol76( X, Y, Z, T ) ), skol61( X, Y, Z, T ) ) ) ) }.
% 6.25/6.65 (20115) {G0,W34,D6,L4,V8,M4} { ! alpha48( X, Z, T, U, W, V0 ), ! V1 =
% 6.25/6.65 vgensym( vapp( vapp( T, V0 ), vvar( Z ) ) ), ! Y = vsubst( Z, T, vabs( V1
% 6.25/6.65 , U, vsubst( W, vvar( V1 ), V0 ) ) ), alpha42( X, Y, Z, T ) }.
% 6.25/6.65 (20116) {G0,W13,D2,L2,V6,M2} { ! alpha48( X, Y, Z, T, U, W ), alpha45( X,
% 6.25/6.65 Y, T, U, W ) }.
% 6.25/6.65 (20117) {G0,W10,D2,L2,V6,M2} { ! alpha48( X, Y, Z, T, U, W ), visFreeVar(
% 6.25/6.65 U, Z ) }.
% 6.25/6.65 (20118) {G0,W16,D2,L3,V6,M3} { ! alpha45( X, Y, T, U, W ), ! visFreeVar( U
% 6.25/6.65 , Z ), alpha48( X, Y, Z, T, U, W ) }.
% 6.25/6.65 (20119) {G0,W12,D3,L2,V5,M2} { ! alpha45( X, Y, Z, T, U ), X = vabs( T, Z
% 6.25/6.65 , U ) }.
% 6.25/6.65 (20120) {G0,W9,D2,L2,V5,M2} { ! alpha45( X, Y, Z, T, U ), ! Y = T }.
% 6.25/6.65 (20121) {G0,W15,D3,L3,V5,M3} { ! X = vabs( T, Z, U ), Y = T, alpha45( X, Y
% 6.25/6.65 , Z, T, U ) }.
% 6.25/6.65 (20122) {G0,W18,D3,L3,V6,M3} { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z,
% 6.25/6.65 T ), alpha23( Z, T, skol12( U, W, Z, T ) ) }.
% 6.25/6.65 (20123) {G0,W18,D3,L3,V4,M3} { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z,
% 6.25/6.65 T ), alpha18( X, Y, skol12( X, Y, Z, T ) ) }.
% 6.25/6.65 (20124) {G0,W10,D2,L2,V4,M2} { ! alpha38( X, Y, Z, T ), alpha34( X, Y, Z,
% 6.25/6.65 T ) }.
% 6.25/6.65 (20125) {G0,W13,D2,L3,V5,M3} { ! alpha18( X, Y, U ), ! alpha23( Z, T, U )
% 6.25/6.65 , alpha34( X, Y, Z, T ) }.
% 6.25/6.65 (20126) {G0,W15,D2,L3,V4,M3} { ! alpha38( X, Y, Z, T ), alpha41( X, Y, Z,
% 6.25/6.65 T ), alpha43( X, Y, Z, T ) }.
% 6.25/6.65 (20127) {G0,W10,D2,L2,V4,M2} { ! alpha41( X, Y, Z, T ), alpha38( X, Y, Z,
% 6.25/6.65 T ) }.
% 6.25/6.65 (20128) {G0,W10,D2,L2,V4,M2} { ! alpha43( X, Y, Z, T ), alpha38( X, Y, Z,
% 6.25/6.65 T ) }.
% 6.25/6.65 (20129) {G0,W12,D3,L2,V7,M2} { ! alpha43( X, Y, Z, T ), X = skol13( X, U,
% 6.25/6.65 W, V0 ) }.
% 6.25/6.65 (20130) {G0,W14,D3,L2,V4,M2} { ! alpha43( X, Y, Z, T ), alpha46( Y, Z, T,
% 6.25/6.65 skol13( X, Y, Z, T ) ) }.
% 6.25/6.65 (20131) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha46( Y, Z, T, U ), alpha43(
% 6.25/6.65 X, Y, Z, T ) }.
% 6.25/6.65 (20132) {G0,W12,D3,L2,V7,M2} { ! alpha46( X, Y, Z, T ), X = skol14( X, U,
% 6.25/6.65 W, V0 ) }.
% 6.25/6.65 (20133) {G0,W18,D4,L2,V4,M2} { ! alpha46( X, Y, Z, T ), Y = vapp( skol43(
% 6.25/6.65 X, Y, Z, T ), skol62( X, Y, Z, T ) ) }.
% 6.25/6.65 (20134) {G0,W32,D5,L2,V4,M2} { ! alpha46( X, Y, Z, T ), Z = vapp( vsubst(
% 6.25/6.65 T, skol14( X, Y, Z, T ), skol43( X, Y, Z, T ) ), vsubst( T, skol14( X, Y
% 6.25/6.65 , Z, T ), skol62( X, Y, Z, T ) ) ) }.
% 6.25/6.65 (20135) {G0,W24,D4,L4,V7,M4} { ! X = U, ! Y = vapp( W, V0 ), ! Z = vapp(
% 6.25/6.65 vsubst( T, U, W ), vsubst( T, U, V0 ) ), alpha46( X, Y, Z, T ) }.
% 6.25/6.65 (20136) {G0,W18,D3,L3,V6,M3} { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z,
% 6.25/6.65 T ), alpha12( Z, T, skol15( U, W, Z, T ) ) }.
% 6.25/6.65 (20137) {G0,W18,D3,L3,V4,M3} { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z,
% 6.25/6.65 T ), alpha6( X, Y, skol15( X, Y, Z, T ) ) }.
% 6.25/6.65 (20138) {G0,W10,D2,L2,V4,M2} { ! alpha44( X, Y, Z, T ), alpha41( X, Y, Z,
% 6.25/6.65 T ) }.
% 6.25/6.65 (20139) {G0,W13,D2,L3,V5,M3} { ! alpha6( X, Y, U ), ! alpha12( Z, T, U ),
% 6.25/6.65 alpha41( X, Y, Z, T ) }.
% 6.25/6.65 (20140) {G0,W16,D3,L3,V4,M3} { ! alpha44( X, Y, Z, T ), ! vsubst( X, Y, Z
% 6.25/6.65 ) = T, alpha47( X, Y, Z, T ) }.
% 6.25/6.65 (20141) {G0,W11,D3,L2,V4,M2} { vsubst( X, Y, Z ) = T, alpha44( X, Y, Z, T
% 6.25/6.65 ) }.
% 6.25/6.65 (20142) {G0,W10,D2,L2,V4,M2} { ! alpha47( X, Y, Z, T ), alpha44( X, Y, Z,
% 6.25/6.65 T ) }.
% 6.25/6.65 (20143) {G0,W12,D3,L2,V7,M2} { ! alpha47( X, Y, Z, T ), X = skol16( X, U,
% 6.25/6.65 W, V0 ) }.
% 6.25/6.65 (20144) {G0,W14,D3,L2,V4,M2} { ! alpha47( X, Y, Z, T ), alpha49( Y, Z, T,
% 6.25/6.65 skol16( X, Y, Z, T ) ) }.
% 6.25/6.65 (20145) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha49( Y, Z, T, U ), alpha47(
% 6.25/6.65 X, Y, Z, T ) }.
% 6.25/6.65 (20146) {G0,W12,D3,L2,V7,M2} { ! alpha49( X, Y, Z, T ), X = skol17( X, U,
% 6.25/6.65 W, V0 ) }.
% 6.25/6.65 (20147) {G0,W13,D3,L2,V6,M2} { ! alpha49( X, Y, Z, T ), alpha2( Y, T,
% 6.25/6.65 skol44( U, Y, W, T ) ) }.
% 6.25/6.65 (20148) {G0,W12,D3,L2,V4,M2} { ! alpha49( X, Y, Z, T ), Z = skol17( X, Y,
% 6.25/6.65 Z, T ) }.
% 6.25/6.65 (20149) {G0,W15,D2,L4,V6,M4} { ! X = U, ! alpha2( Y, T, W ), ! Z = U,
% 6.25/6.65 alpha49( X, Y, Z, T ) }.
% 6.25/6.65 (20150) {G0,W19,D4,L2,V3,M2} { ! alpha23( X, Y, Z ), X = vabs( skol18( X,
% 6.25/6.65 Y, Z ), skol45( X, Y, Z ), skol63( X, Y, Z ) ) }.
% 6.25/6.65 (20151) {G0,W10,D3,L2,V3,M2} { ! alpha23( X, Y, Z ), Z = skol18( X, Y, Z )
% 6.25/6.65 }.
% 6.25/6.65 (20152) {G0,W19,D4,L2,V3,M2} { ! alpha23( X, Y, Z ), Y = vabs( skol18( X,
% 6.25/6.65 Y, Z ), skol45( X, Y, Z ), skol63( X, Y, Z ) ) }.
% 6.25/6.65 (20153) {G0,W19,D3,L4,V6,M4} { ! X = vabs( T, U, W ), ! Z = T, ! Y = vabs
% 6.25/6.65 ( T, U, W ), alpha23( X, Y, Z ) }.
% 6.25/6.65 (20154) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), X = Z }.
% 6.25/6.65 (20155) {G0,W8,D3,L2,V3,M2} { ! alpha18( X, Y, Z ), Y = skol19( Y ) }.
% 6.25/6.65 (20156) {G0,W10,D2,L3,V4,M3} { ! X = Z, ! Y = T, alpha18( X, Y, Z ) }.
% 6.25/6.65 (20157) {G0,W10,D3,L2,V5,M2} { ! alpha12( X, Y, Z ), ! Z = skol20( T, U, Z
% 6.25/6.65 ) }.
% 6.25/6.65 (20158) {G0,W11,D4,L2,V4,M2} { ! alpha12( X, Y, Z ), Y = vvar( skol20( T,
% 6.25/6.65 Y, Z ) ) }.
% 6.25/6.65 (20159) {G0,W11,D4,L2,V3,M2} { ! alpha12( X, Y, Z ), X = vvar( skol20( X,
% 6.25/6.65 Y, Z ) ) }.
% 6.25/6.65 (20160) {G0,W15,D3,L4,V4,M4} { ! X = vvar( T ), Z = T, ! Y = vvar( T ),
% 6.25/6.65 alpha12( X, Y, Z ) }.
% 6.25/6.65 (20161) {G0,W7,D2,L2,V3,M2} { ! alpha6( X, Y, Z ), X = Z }.
% 6.25/6.65 (20162) {G0,W8,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), Y = skol21( Y ) }.
% 6.25/6.65 (20163) {G0,W10,D2,L3,V4,M3} { ! X = Z, ! Y = T, alpha6( X, Y, Z ) }.
% 6.25/6.65 (20164) {G0,W8,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), X = vvar( Z ) }.
% 6.25/6.65 (20165) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), Y = Z }.
% 6.25/6.65 (20166) {G0,W11,D3,L3,V3,M3} { ! X = vvar( Z ), ! Y = Z, alpha2( X, Y, Z )
% 6.25/6.65 }.
% 6.25/6.65 (20167) {G0,W4,D2,L2,V0,M2} { ! &&, vnoExp = vnoExp }.
% 6.25/6.65 (20168) {G0,W8,D3,L2,V2,M2} { ! vsomeExp( X ) = vsomeExp( Y ), X = Y }.
% 6.25/6.65 (20169) {G0,W8,D3,L2,V2,M2} { ! X = Y, vsomeExp( X ) = vsomeExp( Y ) }.
% 6.25/6.65 (20170) {G0,W4,D3,L1,V1,M1} { ! vnoExp = vsomeExp( X ) }.
% 6.25/6.65 (20171) {G0,W5,D2,L2,V1,M2} { ! X = vnoExp, ! visSomeExp( X ) }.
% 6.25/6.65 (20172) {G0,W6,D3,L2,V2,M2} { ! X = vsomeExp( Y ), visSomeExp( X ) }.
% 6.25/6.65 (20173) {G0,W11,D3,L3,V3,M3} { ! X = vsomeExp( Y ), ! Z = vgetSomeExp( X )
% 6.25/6.65 , Z = Y }.
% 6.25/6.65 (20174) {G0,W11,D3,L3,V3,M3} { ! X = vvar( Y ), ! Z = vreduce( X ), Z =
% 6.25/6.65 vnoExp }.
% 6.25/6.65 (20175) {G0,W13,D3,L3,V5,M3} { ! X = vabs( Y, Z, T ), ! U = vreduce( X ),
% 6.25/6.65 U = vnoExp }.
% 6.25/6.65 (20176) {G0,W28,D5,L5,V7,M5} { ! Y = vapp( vabs( Z, T, U ), X ), ! W =
% 6.25/6.65 vreduce( X ), ! visSomeExp( W ), ! V0 = vreduce( Y ), V0 = vsomeExp( vapp
% 6.25/6.65 ( vabs( Z, T, U ), vgetSomeExp( W ) ) ) }.
% 6.25/6.65 (20177) {G0,W27,D4,L6,V7,M6} { ! X = vapp( vabs( Y, U, T ), Z ), ! W =
% 6.25/6.65 vreduce( Z ), visSomeExp( W ), ! visValue( Z ), ! V0 = vreduce( X ), V0 =
% 6.25/6.65 vsomeExp( vsubst( Y, Z, T ) ) }.
% 6.25/6.65 (20178) {G0,W23,D4,L6,V7,M6} { ! Y = vapp( vabs( Z, T, U ), X ), ! W =
% 6.25/6.65 vreduce( X ), visSomeExp( W ), visValue( X ), ! V0 = vreduce( Y ), V0 =
% 6.25/6.65 vnoExp }.
% 6.25/6.65 (20179) {G0,W31,D5,L6,V5,M6} { ! Y = vapp( X, Z ), X = vabs( skol22( X ),
% 6.25/6.65 skol46( X ), skol64( X ) ), ! T = vreduce( X ), ! visSomeExp( T ), ! U =
% 6.25/6.65 vreduce( Y ), U = vsomeExp( vapp( vgetSomeExp( T ), Z ) ) }.
% 6.25/6.65 (20180) {G0,W27,D4,L6,V5,M6} { ! Y = vapp( X, Z ), X = vabs( skol23( X ),
% 6.25/6.65 skol47( X ), skol65( X ) ), ! T = vreduce( X ), visSomeExp( T ), ! U =
% 6.25/6.65 vreduce( Y ), U = vnoExp }.
% 6.25/6.65 (20181) {G0,W8,D3,L2,V3,M2} { alpha3( X, Y ), alpha13( Y, skol24( Z, Y ) )
% 6.25/6.65 }.
% 6.25/6.65 (20182) {G0,W8,D3,L2,V2,M2} { alpha3( X, Y ), alpha7( X, skol24( X, Y ) )
% 6.25/6.65 }.
% 6.25/6.65 (20183) {G0,W7,D3,L2,V4,M2} { ! alpha13( X, Y ), ! visSomeExp( skol25( Z,
% 6.25/6.65 T ) ) }.
% 6.25/6.65 (20184) {G0,W9,D3,L2,V3,M2} { ! alpha13( X, Y ), skol25( Z, Y ) = vreduce
% 6.25/6.65 ( Y ) }.
% 6.25/6.65 (20185) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), X = vnoExp }.
% 6.25/6.65 (20186) {G0,W12,D3,L4,V3,M4} { ! Z = vreduce( Y ), visSomeExp( Z ), ! X =
% 6.25/6.65 vnoExp, alpha13( X, Y ) }.
% 6.25/6.65 (20187) {G0,W10,D4,L2,V2,M2} { ! alpha7( X, Y ), X = vapp( Y, skol26( X, Y
% 6.25/6.65 ) ) }.
% 6.25/6.65 (20188) {G0,W9,D3,L2,V5,M2} { ! alpha7( X, Y ), ! Y = vabs( Z, T, U ) }.
% 6.25/6.65 (20189) {G0,W17,D4,L3,V3,M3} { ! X = vapp( Y, Z ), Y = vabs( skol48( Y ),
% 6.25/6.65 skol66( Y ), skol77( Y ) ), alpha7( X, Y ) }.
% 6.25/6.65 (20190) {G0,W9,D2,L3,V2,M3} { ! alpha3( X, Y ), alpha8( X, Y ), alpha14( X
% 6.25/6.65 , Y ) }.
% 6.25/6.65 (20191) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ), alpha3( X, Y ) }.
% 6.25/6.65 (20192) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), alpha3( X, Y ) }.
% 6.25/6.65 (20193) {G0,W11,D3,L2,V2,M2} { ! alpha14( X, Y ), alpha24( X, skol27( X, Y
% 6.25/6.65 ), skol49( X, Y ) ) }.
% 6.25/6.65 (20194) {G0,W10,D3,L2,V2,M2} { ! alpha14( X, Y ), alpha19( skol27( X, Y )
% 6.25/6.65 , skol67( X, Y ) ) }.
% 6.25/6.65 (20195) {G0,W14,D6,L2,V2,M2} { ! alpha14( X, Y ), Y = vsomeExp( vapp(
% 6.25/6.65 vgetSomeExp( skol67( X, Y ) ), skol49( X, Y ) ) ) }.
% 6.25/6.65 (20196) {G0,W17,D5,L4,V5,M4} { ! alpha24( X, Z, T ), ! alpha19( Z, U ), !
% 6.25/6.65 Y = vsomeExp( vapp( vgetSomeExp( U ), T ) ), alpha14( X, Y ) }.
% 6.25/6.65 (20197) {G0,W9,D3,L2,V3,M2} { ! alpha24( X, Y, Z ), X = vapp( Y, Z ) }.
% 6.25/6.65 (20198) {G0,W10,D3,L2,V6,M2} { ! alpha24( X, Y, Z ), ! Y = vabs( T, U, W )
% 6.25/6.65 }.
% 6.25/6.65 (20199) {G0,W18,D4,L3,V3,M3} { ! X = vapp( Y, Z ), Y = vabs( skol28( Y ),
% 6.25/6.65 skol50( Y ), skol68( Y ) ), alpha24( X, Y, Z ) }.
% 6.25/6.65 (20200) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), Y = vreduce( X ) }.
% 6.25/6.65 (20201) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), visSomeExp( Y ) }.
% 6.25/6.65 (20202) {G0,W9,D3,L3,V2,M3} { ! Y = vreduce( X ), ! visSomeExp( Y ),
% 6.25/6.65 alpha19( X, Y ) }.
% 6.25/6.65 (20203) {G0,W9,D2,L3,V2,M3} { ! alpha8( X, Y ), alpha15( X, Y ), alpha20(
% 6.25/6.65 X, Y ) }.
% 6.25/6.65 (20204) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), alpha8( X, Y ) }.
% 6.25/6.65 (20205) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), alpha8( X, Y ) }.
% 6.25/6.65 (20206) {G0,W8,D3,L2,V3,M2} { ! alpha20( X, Y ), alpha25( Y, skol29( Z, Y
% 6.25/6.65 ) ) }.
% 6.25/6.65 (20207) {G0,W19,D5,L2,V2,M2} { ! alpha20( X, Y ), X = vapp( vabs( skol51(
% 6.25/6.65 X, Y ), skol69( X, Y ), skol78( X, Y ) ), skol29( X, Y ) ) }.
% 6.25/6.65 (20208) {G0,W14,D4,L3,V6,M3} { ! X = vapp( vabs( T, U, W ), Z ), ! alpha25
% 6.25/6.65 ( Y, Z ), alpha20( X, Y ) }.
% 6.25/6.65 (20209) {G0,W8,D3,L2,V3,M2} { ! alpha25( X, Y ), alpha29( Y, skol30( Z, Y
% 6.25/6.65 ) ) }.
% 6.25/6.65 (20210) {G0,W6,D2,L2,V2,M2} { ! alpha25( X, Y ), X = vnoExp }.
% 6.25/6.65 (20211) {G0,W9,D2,L3,V3,M3} { ! alpha29( Y, Z ), ! X = vnoExp, alpha25( X
% 6.25/6.65 , Y ) }.
% 6.25/6.65 (20212) {G0,W7,D3,L2,V2,M2} { ! alpha29( X, Y ), Y = vreduce( X ) }.
% 6.25/6.65 (20213) {G0,W5,D2,L2,V2,M2} { ! alpha29( X, Y ), ! visSomeExp( Y ) }.
% 6.25/6.65 (20214) {G0,W5,D2,L2,V2,M2} { ! alpha29( X, Y ), ! visValue( X ) }.
% 6.25/6.65 (20215) {G0,W11,D3,L4,V2,M4} { ! Y = vreduce( X ), visSomeExp( Y ),
% 6.25/6.65 visValue( X ), alpha29( X, Y ) }.
% 6.25/6.65 (20216) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), alpha21( X, Y ), alpha26
% 6.25/6.65 ( X, Y ) }.
% 6.25/6.65 (20217) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), alpha15( X, Y ) }.
% 6.25/6.65 (20218) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), alpha15( X, Y ) }.
% 6.25/6.65 (20219) {G0,W19,D5,L2,V2,M2} { ! alpha26( X, Y ), X = vapp( vabs( skol31(
% 6.25/6.65 X, Y ), skol79( X, Y ), skol70( X, Y ) ), skol52( X, Y ) ) }.
% 6.25/6.65 (20220) {G0,W10,D3,L2,V2,M2} { ! alpha26( X, Y ), alpha30( skol52( X, Y )
% 6.25/6.65 , skol83( X, Y ) ) }.
% 6.25/6.65 (20221) {G0,W16,D5,L2,V2,M2} { ! alpha26( X, Y ), Y = vsomeExp( vsubst(
% 6.25/6.65 skol31( X, Y ), skol52( X, Y ), skol70( X, Y ) ) ) }.
% 6.25/6.65 (20222) {G0,W21,D4,L4,V7,M4} { ! X = vapp( vabs( Z, W, U ), T ), ! alpha30
% 6.25/6.65 ( T, V0 ), ! Y = vsomeExp( vsubst( Z, T, U ) ), alpha26( X, Y ) }.
% 6.25/6.65 (20223) {G0,W7,D3,L2,V2,M2} { ! alpha30( X, Y ), Y = vreduce( X ) }.
% 6.25/6.65 (20224) {G0,W5,D2,L2,V2,M2} { ! alpha30( X, Y ), ! visSomeExp( Y ) }.
% 6.25/6.65 (20225) {G0,W5,D2,L2,V2,M2} { ! alpha30( X, Y ), visValue( X ) }.
% 6.25/6.65 (20226) {G0,W11,D3,L4,V2,M4} { ! Y = vreduce( X ), visSomeExp( Y ), !
% 6.25/6.65 visValue( X ), alpha30( X, Y ) }.
% 6.25/6.65 (20227) {G0,W9,D2,L3,V2,M3} { ! alpha21( X, Y ), alpha27( X, Y ), alpha31
% 6.25/6.65 ( X, Y ) }.
% 6.25/6.65 (20228) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), alpha21( X, Y ) }.
% 6.25/6.65 (20229) {G0,W6,D2,L2,V2,M2} { ! alpha31( X, Y ), alpha21( X, Y ) }.
% 6.25/6.65 (20230) {G0,W19,D5,L2,V2,M2} { ! alpha31( X, Y ), X = vapp( vabs( skol53(
% 6.25/6.65 X, Y ), skol71( X, Y ), skol80( X, Y ) ), skol32( X, Y ) ) }.
% 6.25/6.65 (20231) {G0,W10,D3,L2,V2,M2} { ! alpha31( X, Y ), alpha35( skol32( X, Y )
% 6.25/6.65 , skol84( X, Y ) ) }.
% 6.25/6.65 (20232) {G0,W21,D6,L2,V2,M2} { ! alpha31( X, Y ), Y = vsomeExp( vapp( vabs
% 6.25/6.65 ( skol53( X, Y ), skol71( X, Y ), skol80( X, Y ) ), vgetSomeExp( skol84(
% 6.25/6.65 X, Y ) ) ) ) }.
% 6.25/6.65 (20233) {G0,W24,D5,L4,V7,M4} { ! X = vapp( vabs( T, U, W ), Z ), ! alpha35
% 6.25/6.65 ( Z, V0 ), ! Y = vsomeExp( vapp( vabs( T, U, W ), vgetSomeExp( V0 ) ) ),
% 6.25/6.65 alpha31( X, Y ) }.
% 6.25/6.65 (20234) {G0,W7,D3,L2,V2,M2} { ! alpha35( X, Y ), Y = vreduce( X ) }.
% 6.25/6.65 (20235) {G0,W5,D2,L2,V2,M2} { ! alpha35( X, Y ), visSomeExp( Y ) }.
% 6.25/6.65 (20236) {G0,W9,D3,L3,V2,M3} { ! Y = vreduce( X ), ! visSomeExp( Y ),
% 6.25/6.65 alpha35( X, Y ) }.
% 6.25/6.65 (20237) {G0,W15,D4,L3,V2,M3} { ! alpha27( X, Y ), alpha32( X, Y ), X =
% 6.25/6.65 vabs( skol33( X ), skol54( X ), skol72( X ) ) }.
% 6.25/6.65 (20238) {G0,W9,D2,L3,V2,M3} { ! alpha27( X, Y ), alpha32( X, Y ), Y =
% 6.25/6.65 vnoExp }.
% 6.25/6.65 (20239) {G0,W6,D2,L2,V2,M2} { ! alpha32( X, Y ), alpha27( X, Y ) }.
% 6.25/6.65 (20240) {G0,W12,D3,L3,V5,M3} { ! X = vabs( Z, T, U ), ! Y = vnoExp,
% 6.25/6.65 alpha27( X, Y ) }.
% 6.25/6.65 (20241) {G0,W12,D4,L3,V2,M3} { ! alpha32( X, Y ), ! vreduce( X ) = Y, X =
% 6.25/6.65 vvar( skol34( X ) ) }.
% 6.25/6.65 (20242) {G0,W10,D3,L3,V2,M3} { ! alpha32( X, Y ), ! vreduce( X ) = Y, Y =
% 6.25/6.65 vnoExp }.
% 6.25/6.65 (20243) {G0,W7,D3,L2,V2,M2} { vreduce( X ) = Y, alpha32( X, Y ) }.
% 6.25/6.65 (20244) {G0,W10,D3,L3,V3,M3} { ! X = vvar( Z ), ! Y = vnoExp, alpha32( X,
% 6.25/6.65 Y ) }.
% 6.25/6.65 (20245) {G0,W10,D3,L2,V4,M2} { ! varrow( X, Y ) = varrow( Z, T ), X = Z
% 6.25/6.65 }.
% 6.25/6.65 (20246) {G0,W10,D3,L2,V4,M2} { ! varrow( X, Y ) = varrow( Z, T ), Y = T
% 6.25/6.65 }.
% 6.25/6.65 (20247) {G0,W13,D3,L3,V4,M3} { ! X = Z, ! Y = T, varrow( X, Y ) = varrow(
% 6.25/6.65 Z, T ) }.
% 6.25/6.65 (20248) {G0,W11,D3,L2,V3,M2} { ! vlookup( Y, X ) = vsomeType( Z ), vtcheck
% 6.25/6.65 ( X, vvar( Y ), Z ) }.
% 6.25/6.65 (20249) {G0,W16,D3,L2,V5,M2} { ! vtcheck( vbind( Y, T, X ), Z, U ),
% 6.25/6.65 vtcheck( X, vabs( Y, T, Z ), varrow( T, U ) ) }.
% 6.25/6.65 (20250) {G0,W16,D3,L3,V5,M3} { ! vtcheck( X, Y, varrow( U, T ) ), !
% 6.25/6.65 vtcheck( X, Z, U ), vtcheck( X, vapp( Y, Z ), T ) }.
% 6.25/6.65 (20251) {G0,W15,D4,L2,V3,M2} { alpha4( X, Y, Z ), X = vapp( skol35( X, Y,
% 6.25/6.65 Z ), skol55( X, Y, Z ) ) }.
% 6.25/6.65 (20252) {G0,W16,D4,L2,V3,M2} { alpha4( X, Y, Z ), vtcheck( Z, skol35( X, Y
% 6.25/6.65 , Z ), varrow( skol73( X, Y, Z ), Y ) ) }.
% 6.25/6.65 (20253) {G0,W14,D3,L2,V3,M2} { alpha4( X, Y, Z ), vtcheck( Z, skol55( X, Y
% 6.25/6.65 , Z ), skol73( X, Y, Z ) ) }.
% 6.25/6.65 (20254) {G0,W12,D2,L3,V3,M3} { ! alpha4( X, Y, Z ), alpha9( X, Y, Z ),
% 6.25/6.65 alpha16( X, Y, Z ) }.
% 6.25/6.65 (20255) {G0,W8,D2,L2,V3,M2} { ! alpha9( X, Y, Z ), alpha4( X, Y, Z ) }.
% 6.25/6.65 (20256) {G0,W8,D2,L2,V3,M2} { ! alpha16( X, Y, Z ), alpha4( X, Y, Z ) }.
% 6.25/6.65 (20257) {G0,W19,D4,L2,V3,M2} { ! alpha16( X, Y, Z ), X = vabs( skol36( X,
% 6.25/6.65 Y, Z ), skol74( X, Y, Z ), skol56( X, Y, Z ) ) }.
% 6.93/7.30 (20258) {G0,W15,D4,L2,V3,M2} { ! alpha16( X, Y, Z ), Y = varrow( skol74( X
% 6.93/7.30 , Y, Z ), skol81( X, Y, Z ) ) }.
% 6.93/7.30 (20259) {G0,W23,D4,L2,V3,M2} { ! alpha16( X, Y, Z ), vtcheck( vbind(
% 6.93/7.30 skol36( X, Y, Z ), skol74( X, Y, Z ), Z ), skol56( X, Y, Z ), skol81( X,
% 6.93/7.30 Y, Z ) ) }.
% 6.93/7.30 (20260) {G0,W22,D3,L4,V7,M4} { ! X = vabs( T, W, U ), ! Y = varrow( W, V0
% 6.93/7.30 ), ! vtcheck( vbind( T, W, Z ), U, V0 ), alpha16( X, Y, Z ) }.
% 6.93/7.30 (20261) {G0,W15,D4,L3,V5,M3} { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ),
% 6.93/7.30 X = vvar( skol37( X, T, U ) ) }.
% 6.93/7.30 (20262) {G0,W17,D4,L3,V3,M3} { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ),
% 6.93/7.30 vlookup( skol37( X, Y, Z ), Z ) = vsomeType( Y ) }.
% 6.93/7.30 (20263) {G0,W8,D2,L2,V3,M2} { vtcheck( Z, X, Y ), alpha9( X, Y, Z ) }.
% 6.93/7.30 (20264) {G0,W14,D3,L3,V4,M3} { ! X = vvar( T ), ! vlookup( T, Z ) =
% 6.93/7.30 vsomeType( Y ), alpha9( X, Y, Z ) }.
% 6.93/7.30 (20265) {G0,W14,D3,L3,V5,M3} { visFreeVar( X, Z ), ! vtcheck( Y, Z, T ),
% 6.93/7.30 vtcheck( vbind( X, U, Y ), Z, T ) }.
% 6.93/7.30 (20266) {G0,W18,D3,L3,V6,M3} { ! vtcheck( X, Z, W ), ! vtcheck( vbind( Y,
% 6.93/7.30 W, X ), T, U ), vtcheck( X, vsubst( Y, Z, T ), U ) }.
% 6.93/7.30 (20267) {G0,W16,D3,L3,V5,M3} { ! vlookup( X, Y ) = vnoType, ! vtcheck( Y,
% 6.93/7.30 Z, T ), vtcheck( vbind( X, U, Y ), Z, T ) }.
% 6.93/7.30 (20268) {G0,W14,D3,L3,V5,M3} { visFreeVar( T, Y ), ! vtcheck( vbind( T, U
% 6.93/7.30 , X ), Y, Z ), vtcheck( X, Y, Z ) }.
% 6.93/7.30 (20269) {G0,W13,D3,L3,V3,M3} { ! vreduce( ve1 ) = vsomeExp( Y ), ! vtcheck
% 6.93/7.30 ( X, ve1, Z ), vtcheck( X, Y, Z ) }.
% 6.93/7.30 (20270) {G0,W8,D4,L1,V0,M1} { vreduce( vabs( skol82, skol85, ve1 ) ) =
% 6.93/7.30 vsomeExp( skol57 ) }.
% 6.93/7.30 (20271) {G0,W7,D3,L1,V0,M1} { vtcheck( skol38, vabs( skol82, skol85, ve1 )
% 6.93/7.30 , skol75 ) }.
% 6.93/7.30 (20272) {G0,W4,D2,L1,V0,M1} { ! vtcheck( skol38, skol57, skol75 ) }.
% 6.93/7.30
% 6.93/7.30
% 6.93/7.30 Total Proof:
% 6.93/7.30
% 6.93/7.30 *** allocated 15000 integers for justifications
% 6.93/7.30 *** allocated 22500 integers for justifications
% 6.93/7.30 *** allocated 33750 integers for justifications
% 6.93/7.30 *** allocated 864960 integers for termspace/termends
% 6.93/7.30 *** allocated 50625 integers for justifications
% 6.93/7.30 *** allocated 75937 integers for justifications
% 6.93/7.30 *** allocated 113905 integers for justifications
% 6.93/7.30 eqswap: (26246) {G0,W4,D3,L1,V1,M1} { ! vsomeExp( X ) = vnoExp }.
% 6.93/7.30 parent0[0]: (20170) {G0,W4,D3,L1,V1,M1} { ! vnoExp = vsomeExp( X ) }.
% 6.93/7.30 substitution0:
% 6.93/7.30 X := X
% 6.93/7.30 end
% 6.93/7.30
% 6.93/7.30 subsumption: (147) {G0,W4,D3,L1,V1,M1} I { ! vsomeExp( X ) ==> vnoExp }.
% 6.93/7.30 parent0: (26246) {G0,W4,D3,L1,V1,M1} { ! vsomeExp( X ) = vnoExp }.
% 6.93/7.30 substitution0:
% 6.93/7.30 X := X
% 6.93/7.30 end
% 6.93/7.30 permutation0:
% 6.93/7.30 0 ==> 0
% 6.93/7.30 end
% 6.93/7.30
% 6.93/7.30 *** allocated 1297440 integers for termspace/termends
% 6.93/7.30 subsumption: (152) {G0,W13,D3,L3,V5,M3} I { ! X = vabs( Y, Z, T ), ! U =
% 6.93/7.30 vreduce( X ), U = vnoExp }.
% 6.93/7.30 parent0: (20175) {G0,W13,D3,L3,V5,M3} { ! X = vabs( Y, Z, T ), ! U =
% 6.93/7.30 vreduce( X ), U = vnoExp }.
% 6.93/7.30 substitution0:
% 6.93/7.30 X := X
% 6.93/7.30 Y := Y
% 6.93/7.30 Z := Z
% 6.93/7.30 T := T
% 6.93/7.30 U := U
% 6.93/7.30 end
% 6.93/7.30 permutation0:
% 6.93/7.30 0 ==> 0
% 6.93/7.30 1 ==> 1
% 6.93/7.30 2 ==> 2
% 6.93/7.30 end
% 6.93/7.30
% 6.93/7.30 *** allocated 1946160 integers for clauses
% 6.93/7.30 subsumption: (247) {G0,W8,D4,L1,V0,M1} I { vreduce( vabs( skol82, skol85,
% 6.93/7.30 ve1 ) ) ==> vsomeExp( skol57 ) }.
% 6.93/7.30 parent0: (20270) {G0,W8,D4,L1,V0,M1} { vreduce( vabs( skol82, skol85, ve1
% 6.93/7.30 ) ) = vsomeExp( skol57 ) }.
% 6.93/7.30 substitution0:
% 6.93/7.30 end
% 6.93/7.30 permutation0:
% 6.93/7.30 0 ==> 0
% 6.93/7.30 end
% 6.93/7.30
% 6.93/7.30 eqswap: (38654) {G0,W13,D3,L3,V5,M3} { ! vabs( Y, Z, T ) = X, ! U =
% 6.93/7.30 vreduce( X ), U = vnoExp }.
% 6.93/7.30 parent0[0]: (152) {G0,W13,D3,L3,V5,M3} I { ! X = vabs( Y, Z, T ), ! U =
% 6.93/7.30 vreduce( X ), U = vnoExp }.
% 6.93/7.30 substitution0:
% 6.93/7.30 X := X
% 6.93/7.30 Y := Y
% 6.93/7.30 Z := Z
% 6.93/7.30 T := T
% 6.93/7.30 U := U
% 6.93/7.30 end
% 6.93/7.30
% 6.93/7.30 eqrefl: (38662) {G0,W10,D3,L2,V4,M2} { ! vabs( X, Y, Z ) = T, vreduce( T )
% 6.93/7.30 = vnoExp }.
% 6.93/7.30 parent0[1]: (38654) {G0,W13,D3,L3,V5,M3} { ! vabs( Y, Z, T ) = X, ! U =
% 6.93/7.30 vreduce( X ), U = vnoExp }.
% 6.93/7.30 substitution0:
% 6.93/7.30 X := T
% 6.93/7.30 Y := X
% 6.93/7.30 Z := Y
% 6.93/7.30 T := Z
% 6.93/7.30 U := vreduce( T )
% 6.93/7.30 end
% 6.93/7.30
% 6.93/7.30 eqswap: (38663) {G0,W10,D3,L2,V4,M2} { ! T = vabs( X, Y, Z ), vreduce( T )
% 6.93/7.30 = vnoExp }.
% 6.93/7.30 parent0[0]: (38662) {G0,W10,D3,L2,V4,M2} { ! vabs( X, Y, Z ) = T, vreduce
% 6.93/7.30 ( T ) = vnoExp }.
% 6.93/7.30 substitution0:
% 6.93/7.30 X := X
% 6.93/7.30 Y := Y
% 6.93/7.30 Z := Z
% 6.93/7.30 T := T
% 6.93/7.30 end
% 6.93/7.30
% 6.93/7.30 subsumption: (523) {G1,W10,D3,L2,V4,M2} Q(152) { ! X = vabs( Y, Z, T ),
% 6.93/7.30 vreduce( X ) ==> vnoExp }.
% 6.93/7.30 parent0: (38663) {G0,W10,D3,L2,V4,M2} { ! T = vabs( X, Y, Z ), vreduce( T
% 6.93/7.30 ) = vnoExp }.
% 6.93/7.30 substitution0:
% 6.93/7.30 X := Y
% 6.93/7.30 Y := Z
% 6.93/7.30 Z := T
% 6.93/7.30 T := X
% 6.93/7.30 end
% 6.93/7.30 permutation0:
% 6.93/7.30 0 ==> 0
% 6.93/7.30 1 ==> 1
% 6.93/7.30 end
% 6.93/7.30
% 6.93/7.30 eqswap: (38669) {G1,W10,D3,L2,V4,M2} { ! vabs( Y, Z, T ) = X, vreduce( X )
% 6.93/7.30 ==> vnoExp }.
% 6.93/7.30 parent0[0]: (523) {G1,W10,D3,L2,V4,M2} Q(152) { ! X = vabs( Y, Z, T ),
% 6.93/7.30 vreduce( X ) ==> vnoExp }.
% 6.93/7.30 substitution0:
% 6.93/7.30 X := X
% 6.93/7.30 Y := Y
% 6.93/7.30 Z := Z
% 6.93/7.30 T := T
% 6.93/7.30 end
% 6.93/7.30
% 6.93/7.30 eqrefl: (38672) {G0,W7,D4,L1,V3,M1} { vreduce( vabs( X, Y, Z ) ) ==>
% 6.93/7.30 vnoExp }.
% 6.93/7.30 parent0[0]: (38669) {G1,W10,D3,L2,V4,M2} { ! vabs( Y, Z, T ) = X, vreduce
% 6.93/7.30 ( X ) ==> vnoExp }.
% 6.93/7.30 substitution0:
% 6.93/7.30 X := vabs( X, Y, Z )
% 6.93/7.30 Y := X
% 6.93/7.30 Z := Y
% 6.93/7.30 T := Z
% 6.93/7.30 end
% 6.93/7.30
% 6.93/7.30 subsumption: (524) {G2,W7,D4,L1,V3,M1} Q(523) { vreduce( vabs( X, Y, Z ) )
% 6.93/7.30 ==> vnoExp }.
% 6.93/7.30 parent0: (38672) {G0,W7,D4,L1,V3,M1} { vreduce( vabs( X, Y, Z ) ) ==>
% 6.93/7.30 vnoExp }.
% 6.93/7.30 substitution0:
% 6.93/7.30 X := X
% 6.93/7.30 Y := Y
% 6.93/7.30 Z := Z
% 6.93/7.30 end
% 6.93/7.30 permutation0:
% 6.93/7.30 0 ==> 0
% 6.93/7.30 end
% 6.93/7.30
% 6.93/7.30 paramod: (38676) {G1,W4,D3,L1,V0,M1} { vnoExp ==> vsomeExp( skol57 ) }.
% 6.93/7.30 parent0[0]: (524) {G2,W7,D4,L1,V3,M1} Q(523) { vreduce( vabs( X, Y, Z ) )
% 6.93/7.30 ==> vnoExp }.
% 6.93/7.30 parent1[0; 1]: (247) {G0,W8,D4,L1,V0,M1} I { vreduce( vabs( skol82, skol85
% 6.93/7.30 , ve1 ) ) ==> vsomeExp( skol57 ) }.
% 6.93/7.30 substitution0:
% 6.93/7.30 X := skol82
% 6.93/7.30 Y := skol85
% 6.93/7.30 Z := ve1
% 6.93/7.30 end
% 6.93/7.30 substitution1:
% 6.93/7.30 end
% 6.93/7.30
% 6.93/7.30 eqswap: (38677) {G1,W4,D3,L1,V0,M1} { vsomeExp( skol57 ) ==> vnoExp }.
% 6.93/7.30 parent0[0]: (38676) {G1,W4,D3,L1,V0,M1} { vnoExp ==> vsomeExp( skol57 )
% 6.93/7.30 }.
% 6.93/7.30 substitution0:
% 6.93/7.30 end
% 6.93/7.30
% 6.93/7.30 subsumption: (20016) {G3,W4,D3,L1,V0,M1} S(247);d(524) { vsomeExp( skol57 )
% 6.93/7.30 ==> vnoExp }.
% 6.93/7.30 parent0: (38677) {G1,W4,D3,L1,V0,M1} { vsomeExp( skol57 ) ==> vnoExp }.
% 6.93/7.30 substitution0:
% 6.93/7.30 end
% 6.93/7.30 permutation0:
% 6.93/7.30 0 ==> 0
% 6.93/7.30 end
% 6.93/7.30
% 6.93/7.30 resolution: (38680) {G1,W0,D0,L0,V0,M0} { }.
% 6.93/7.30 parent0[0]: (147) {G0,W4,D3,L1,V1,M1} I { ! vsomeExp( X ) ==> vnoExp }.
% 6.93/7.30 parent1[0]: (20016) {G3,W4,D3,L1,V0,M1} S(247);d(524) { vsomeExp( skol57 )
% 6.93/7.30 ==> vnoExp }.
% 6.93/7.30 substitution0:
% 6.93/7.30 X := skol57
% 6.93/7.30 end
% 6.93/7.30 substitution1:
% 6.93/7.30 end
% 6.93/7.30
% 6.93/7.30 subsumption: (20018) {G4,W0,D0,L0,V0,M0} S(20016);r(147) { }.
% 6.93/7.30 parent0: (38680) {G1,W0,D0,L0,V0,M0} { }.
% 6.93/7.30 substitution0:
% 6.93/7.30 end
% 6.93/7.30 permutation0:
% 6.93/7.30 end
% 6.93/7.30
% 6.93/7.30 Proof check complete!
% 6.93/7.30
% 6.93/7.30 Memory use:
% 6.93/7.30
% 6.93/7.30 space for terms: 536988
% 6.93/7.30 space for clauses: 937614
% 6.93/7.30
% 6.93/7.30
% 6.93/7.30 clauses generated: 131735
% 6.93/7.30 clauses kept: 20019
% 6.93/7.30 clauses selected: 557
% 6.93/7.30 clauses deleted: 645
% 6.93/7.30 clauses inuse deleted: 8
% 6.93/7.30
% 6.93/7.30 subsentry: 5418304
% 6.93/7.30 literals s-matched: 961017
% 6.93/7.30 literals matched: 839041
% 6.93/7.30 full subsumption: 765121
% 6.93/7.30
% 6.93/7.30 checksum: 4675339
% 6.93/7.30
% 6.93/7.30
% 6.93/7.30 Bliksem ended
%------------------------------------------------------------------------------