TSTP Solution File: COM129+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COM129+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 00:51:31 EDT 2022
% Result : Theorem 22.09s 22.48s
% Output : Refutation 22.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COM129+1 : TPTP v8.1.0. Released v6.4.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Jun 16 17:54:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/1.11 *** allocated 10000 integers for termspace/termends
% 0.71/1.11 *** allocated 10000 integers for clauses
% 0.71/1.11 *** allocated 10000 integers for justifications
% 0.71/1.11 Bliksem 1.12
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Automatic Strategy Selection
% 0.71/1.11
% 0.71/1.11 *** allocated 15000 integers for termspace/termends
% 0.71/1.11
% 0.71/1.11 Clauses:
% 0.71/1.11
% 0.71/1.11 { ! vvar( X ) = vvar( Y ), X = Y }.
% 0.71/1.11 { ! X = Y, vvar( X ) = vvar( Y ) }.
% 0.71/1.11 { ! vabs( X, Y, Z ) = vabs( T, U, W ), X = T }.
% 0.71/1.11 { ! vabs( X, Y, Z ) = vabs( T, U, W ), Y = U }.
% 0.71/1.11 { ! vabs( X, Y, Z ) = vabs( T, U, W ), Z = W }.
% 0.71/1.11 { ! X = T, ! Y = U, ! Z = W, vabs( X, Y, Z ) = vabs( T, U, W ) }.
% 0.71/1.11 { ! vapp( X, Y ) = vapp( Z, T ), X = Z }.
% 0.71/1.11 { ! vapp( X, Y ) = vapp( Z, T ), Y = T }.
% 0.71/1.11 { ! X = Z, ! Y = T, vapp( X, Y ) = vapp( Z, T ) }.
% 0.71/1.11 { ! vvar( X ) = vabs( Y, Z, T ) }.
% 0.71/1.11 { ! vvar( X ) = vapp( Y, Z ) }.
% 0.71/1.11 { ! vabs( X, Y, Z ) = vapp( T, U ) }.
% 0.71/1.11 { ! X = vabs( Y, Z, T ), visValue( X ) }.
% 0.71/1.11 { ! X = vvar( Y ), ! visValue( X ) }.
% 0.71/1.11 { ! X = vapp( Y, Z ), ! visValue( X ) }.
% 0.71/1.11 { ! X = T, ! Y = vvar( Z ), ! Z = T, visFreeVar( X, Y ) }.
% 0.71/1.11 { ! X = T, ! Y = vvar( Z ), ! visFreeVar( X, Y ), Z = T }.
% 0.71/1.11 { ! X = T, ! Y = vabs( Z, W, U ), Z = T, ! visFreeVar( T, U ), visFreeVar(
% 0.71/1.11 X, Y ) }.
% 0.71/1.11 { ! X = T, ! Y = vabs( Z, W, U ), ! visFreeVar( X, Y ), ! Z = T }.
% 0.71/1.11 { ! X = T, ! Y = vabs( Z, W, U ), ! visFreeVar( X, Y ), visFreeVar( T, U )
% 0.71/1.11 }.
% 0.71/1.11 { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( T, Z ), visFreeVar( X, Y ) }.
% 0.71/1.11 { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( T, U ), visFreeVar( X, Y ) }.
% 0.71/1.11 { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( X, Y ), visFreeVar( T, Z ),
% 0.71/1.11 visFreeVar( T, U ) }.
% 0.71/1.11 { ! &&, vempty = vempty }.
% 0.71/1.11 { ! vbind( X, Y, Z ) = vbind( T, U, W ), X = T }.
% 0.71/1.11 { ! vbind( X, Y, Z ) = vbind( T, U, W ), Y = U }.
% 0.71/1.11 { ! vbind( X, Y, Z ) = vbind( T, U, W ), Z = W }.
% 0.71/1.11 { ! X = T, ! Y = U, ! Z = W, vbind( X, Y, Z ) = vbind( T, U, W ) }.
% 0.71/1.11 { ! &&, vnoType = vnoType }.
% 0.71/1.11 { ! vsomeType( X ) = vsomeType( Y ), X = Y }.
% 0.71/1.11 { ! X = Y, vsomeType( X ) = vsomeType( Y ) }.
% 0.71/1.11 { ! vempty = vbind( X, Y, Z ) }.
% 0.71/1.11 { ! vnoType = vsomeType( X ) }.
% 0.71/1.11 { ! X = vnoType, ! visSomeType( X ) }.
% 0.71/1.11 { ! X = vsomeType( Y ), visSomeType( X ) }.
% 0.71/1.11 { ! X = vsomeType( Y ), ! Z = vgetSomeType( X ), Z = Y }.
% 0.71/1.11 { ! X = Z, ! Y = vempty, ! T = vlookup( X, Y ), T = vnoType }.
% 0.71/1.11 { ! Z = X, ! T = vbind( Y, U, W ), ! X = Y, ! V0 = vlookup( Z, T ), V0 =
% 0.71/1.11 vsomeType( U ) }.
% 0.71/1.11 { ! Y = T, ! Z = vbind( X, W, U ), T = X, ! V0 = vlookup( Y, Z ), V0 =
% 0.71/1.11 vlookup( T, U ) }.
% 0.71/1.11 { alpha5( X, Y, Z ), X = skol1( X, T, U ) }.
% 0.71/1.11 { alpha5( X, Y, Z ), alpha10( Y, Z, skol1( X, Y, Z ) ) }.
% 0.71/1.11 { ! alpha10( X, Y, Z ), Y = vlookup( Z, skol39( T, Y, Z ) ) }.
% 0.71/1.11 { ! alpha10( X, Y, Z ), ! Z = skol2( X, Y, Z ) }.
% 0.71/1.11 { ! alpha10( X, Y, Z ), X = vbind( skol2( X, Y, Z ), skol58( X, Y, Z ),
% 0.71/1.11 skol39( X, Y, Z ) ) }.
% 0.71/1.11 { ! X = vbind( T, W, U ), Z = T, ! Y = vlookup( Z, U ), alpha10( X, Y, Z )
% 0.71/1.11 }.
% 0.71/1.11 { ! alpha5( X, Y, Z ), alpha11( X, Y, Z ), alpha17( X, Y, Z ) }.
% 0.71/1.11 { ! alpha11( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.71/1.11 { ! alpha17( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.71/1.11 { ! alpha17( X, Y, Z ), X = skol3( X, T, U ) }.
% 0.71/1.11 { ! alpha17( X, Y, Z ), alpha22( Y, Z, skol3( X, Y, Z ) ) }.
% 0.71/1.11 { ! X = T, ! alpha22( Y, Z, T ), alpha17( X, Y, Z ) }.
% 0.71/1.11 { ! alpha22( X, Y, Z ), Y = vsomeType( skol40( T, Y, U ) ) }.
% 0.71/1.11 { ! alpha22( X, Y, Z ), Z = skol4( X, Y, Z ) }.
% 0.71/1.11 { ! alpha22( X, Y, Z ), X = vbind( skol4( X, Y, Z ), skol40( X, Y, Z ),
% 0.71/1.11 skol59( X, Y, Z ) ) }.
% 0.71/1.11 { ! X = vbind( T, U, W ), ! Z = T, ! Y = vsomeType( U ), alpha22( X, Y, Z )
% 0.71/1.11 }.
% 0.71/1.11 { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z, alpha1( X, Y ) }.
% 0.71/1.11 { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z, Z = vnoType }.
% 0.71/1.11 { vlookup( X, Y ) = Z, alpha11( X, Y, Z ) }.
% 0.71/1.11 { ! alpha1( X, Y ), ! Z = vnoType, alpha11( X, Y, Z ) }.
% 0.71/1.11 { ! alpha1( X, Y ), X = skol5( X ) }.
% 0.71/1.11 { ! alpha1( X, Y ), Y = vempty }.
% 0.71/1.11 { ! X = Z, ! Y = vempty, alpha1( X, Y ) }.
% 0.71/1.11 { ! X = W, ! vtcheck( vbind( X, Y, vbind( W, V0, Z ) ), T, U ), vtcheck(
% 0.71/1.11 vbind( X, Y, Z ), T, U ) }.
% 0.71/1.11 { Z = X, ! vtcheck( vbind( Z, T, vbind( X, Y, U ) ), W, V0 ), vtcheck(
% 0.71/1.11 vbind( X, Y, vbind( Z, T, U ) ), W, V0 ) }.
% 0.71/1.11 { ! vgensym( Y ) = X, ! visFreeVar( X, Y ) }.
% 0.71/1.11 { ! Z = X, ! T = W, ! U = vvar( Y ), ! X = Y, ! V0 = vsubst( Z, T, U ), V0
% 0.71/1.11 = W }.
% 0.71/1.11 { ! Y = X, ! Z = W, ! T = vvar( U ), X = U, ! V0 = vsubst( Y, Z, T ), V0 =
% 0.71/1.11 vvar( U ) }.
% 0.71/1.11 { ! X = U, ! Y = W, ! Z = vapp( T, V0 ), ! V1 = vsubst( X, Y, Z ), V1 =
% 0.71/1.11 vapp( vsubst( U, W, T ), vsubst( U, W, V0 ) ) }.
% 0.71/1.11 { ! Y = X, ! Z = V1, ! T = vabs( U, W, V0 ), ! X = U, ! V2 = vsubst( Y, Z,
% 0.71/1.11 T ), V2 = vabs( U, W, V0 ) }.
% 0.71/1.11 { ! X = T, ! Y = U, ! Z = vabs( V0, W, V1 ), T = V0, ! visFreeVar( V0, U )
% 0.71/1.11 , ! V2 = vgensym( vapp( vapp( U, V1 ), vvar( T ) ) ), ! V3 = vsubst( X, Y
% 0.71/1.11 , Z ), V3 = vsubst( T, U, vabs( V2, W, vsubst( V0, vvar( V2 ), V1 ) ) ) }
% 0.71/1.11 .
% 0.71/1.11 { ! X = W, ! Y = V0, ! Z = vabs( T, U, V1 ), W = T, visFreeVar( T, V0 ), !
% 0.71/1.11 V2 = vsubst( X, Y, Z ), V2 = vabs( T, U, vsubst( W, V0, V1 ) ) }.
% 0.71/1.11 { alpha28( X, Y, Z, T ), X = skol6( X, U, W, V0 ) }.
% 0.71/1.11 { alpha28( X, Y, Z, T ), alpha33( Y, Z, T, skol6( X, Y, Z, T ) ) }.
% 0.71/1.11 { ! alpha33( X, Y, Z, T ), X = skol7( X, U, W, V0 ) }.
% 0.71/1.11 { ! alpha33( X, Y, Z, T ), alpha36( Y, Z, T, skol7( X, Y, Z, T ) ) }.
% 0.71/1.11 { ! X = U, ! alpha36( Y, Z, T, U ), alpha33( X, Y, Z, T ) }.
% 0.71/1.11 { ! alpha36( X, Y, Z, T ), alpha39( X, Z, skol8( X, Y, Z, T ), skol41( X, Y
% 0.71/1.11 , Z, T ), skol60( X, Y, Z, T ) ) }.
% 0.71/1.11 { ! alpha36( X, Y, Z, T ), ! visFreeVar( skol8( X, Y, Z, T ), T ) }.
% 0.71/1.11 { ! alpha36( X, Y, Z, T ), Y = vabs( skol8( X, Y, Z, T ), skol41( X, Y, Z,
% 0.71/1.11 T ), vsubst( Z, T, skol60( X, Y, Z, T ) ) ) }.
% 0.71/1.11 { ! alpha39( X, Z, U, W, V0 ), visFreeVar( U, T ), ! Y = vabs( U, W, vsubst
% 0.71/1.11 ( Z, T, V0 ) ), alpha36( X, Y, Z, T ) }.
% 0.71/1.11 { ! alpha39( X, Y, Z, T, U ), X = vabs( Z, T, U ) }.
% 0.71/1.11 { ! alpha39( X, Y, Z, T, U ), ! Y = Z }.
% 0.71/1.11 { ! X = vabs( Z, T, U ), Y = Z, alpha39( X, Y, Z, T, U ) }.
% 0.71/1.11 { ! alpha28( X, Y, Z, T ), alpha34( X, Y, Z, T ), alpha37( X, Y, Z, T ) }.
% 0.71/1.11 { ! alpha34( X, Y, Z, T ), alpha28( X, Y, Z, T ) }.
% 0.71/1.11 { ! alpha37( X, Y, Z, T ), alpha28( X, Y, Z, T ) }.
% 0.71/1.11 { ! alpha37( X, Y, Z, T ), X = skol9( X, U, W, V0 ) }.
% 0.71/1.11 { ! alpha37( X, Y, Z, T ), alpha40( Y, Z, T, skol9( X, Y, Z, T ) ) }.
% 0.71/1.11 { ! X = U, ! alpha40( Y, Z, T, U ), alpha37( X, Y, Z, T ) }.
% 0.71/1.11 { ! alpha40( X, Y, Z, T ), X = skol10( X, U, W, V0 ) }.
% 0.71/1.11 { ! alpha40( X, Y, Z, T ), alpha42( Y, Z, T, skol10( X, Y, Z, T ) ) }.
% 0.71/1.11 { ! X = U, ! alpha42( Y, Z, T, U ), alpha40( X, Y, Z, T ) }.
% 0.71/1.11 { ! alpha42( X, Y, Z, T ), alpha48( X, Z, T, skol11( X, Y, Z, T ), skol42(
% 0.71/1.11 X, Y, Z, T ), skol61( X, Y, Z, T ) ) }.
% 0.71/1.11 { ! alpha42( X, Y, Z, T ), skol76( X, Y, Z, T ) = vgensym( vapp( vapp( T,
% 0.71/1.11 skol61( X, Y, Z, T ) ), vvar( Z ) ) ) }.
% 0.71/1.11 { ! alpha42( X, Y, Z, T ), Y = vsubst( Z, T, vabs( skol76( X, Y, Z, T ),
% 0.71/1.11 skol11( X, Y, Z, T ), vsubst( skol42( X, Y, Z, T ), vvar( skol76( X, Y, Z
% 0.71/1.11 , T ) ), skol61( X, Y, Z, T ) ) ) ) }.
% 0.71/1.11 { ! alpha48( X, Z, T, U, W, V0 ), ! V1 = vgensym( vapp( vapp( T, V0 ), vvar
% 0.71/1.11 ( Z ) ) ), ! Y = vsubst( Z, T, vabs( V1, U, vsubst( W, vvar( V1 ), V0 ) )
% 0.71/1.11 ), alpha42( X, Y, Z, T ) }.
% 0.71/1.11 { ! alpha48( X, Y, Z, T, U, W ), alpha45( X, Y, T, U, W ) }.
% 0.71/1.11 { ! alpha48( X, Y, Z, T, U, W ), visFreeVar( U, Z ) }.
% 0.71/1.11 { ! alpha45( X, Y, T, U, W ), ! visFreeVar( U, Z ), alpha48( X, Y, Z, T, U
% 0.71/1.11 , W ) }.
% 0.71/1.11 { ! alpha45( X, Y, Z, T, U ), X = vabs( T, Z, U ) }.
% 0.71/1.11 { ! alpha45( X, Y, Z, T, U ), ! Y = T }.
% 0.71/1.11 { ! X = vabs( T, Z, U ), Y = T, alpha45( X, Y, Z, T, U ) }.
% 0.71/1.11 { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z, T ), alpha23( Z, T, skol12( U
% 0.71/1.11 , W, Z, T ) ) }.
% 0.71/1.11 { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z, T ), alpha18( X, Y, skol12( X
% 0.71/1.11 , Y, Z, T ) ) }.
% 0.71/1.11 { ! alpha38( X, Y, Z, T ), alpha34( X, Y, Z, T ) }.
% 0.71/1.11 { ! alpha18( X, Y, U ), ! alpha23( Z, T, U ), alpha34( X, Y, Z, T ) }.
% 0.71/1.11 { ! alpha38( X, Y, Z, T ), alpha41( X, Y, Z, T ), alpha43( X, Y, Z, T ) }.
% 0.71/1.11 { ! alpha41( X, Y, Z, T ), alpha38( X, Y, Z, T ) }.
% 0.71/1.11 { ! alpha43( X, Y, Z, T ), alpha38( X, Y, Z, T ) }.
% 0.71/1.11 { ! alpha43( X, Y, Z, T ), X = skol13( X, U, W, V0 ) }.
% 0.71/1.11 { ! alpha43( X, Y, Z, T ), alpha46( Y, Z, T, skol13( X, Y, Z, T ) ) }.
% 0.71/1.11 { ! X = U, ! alpha46( Y, Z, T, U ), alpha43( X, Y, Z, T ) }.
% 0.71/1.11 { ! alpha46( X, Y, Z, T ), X = skol14( X, U, W, V0 ) }.
% 0.71/1.11 { ! alpha46( X, Y, Z, T ), Y = vapp( skol43( X, Y, Z, T ), skol62( X, Y, Z
% 0.71/1.11 , T ) ) }.
% 0.71/1.11 { ! alpha46( X, Y, Z, T ), Z = vapp( vsubst( T, skol14( X, Y, Z, T ),
% 0.71/1.11 skol43( X, Y, Z, T ) ), vsubst( T, skol14( X, Y, Z, T ), skol62( X, Y, Z
% 0.71/1.11 , T ) ) ) }.
% 0.71/1.11 { ! X = U, ! Y = vapp( W, V0 ), ! Z = vapp( vsubst( T, U, W ), vsubst( T, U
% 0.71/1.11 , V0 ) ), alpha46( X, Y, Z, T ) }.
% 0.71/1.11 { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z, T ), alpha12( Z, T, skol15( U
% 0.71/1.11 , W, Z, T ) ) }.
% 0.71/1.11 { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z, T ), alpha6( X, Y, skol15( X,
% 0.71/1.11 Y, Z, T ) ) }.
% 0.71/1.11 { ! alpha44( X, Y, Z, T ), alpha41( X, Y, Z, T ) }.
% 0.71/1.11 { ! alpha6( X, Y, U ), ! alpha12( Z, T, U ), alpha41( X, Y, Z, T ) }.
% 0.71/1.11 { ! alpha44( X, Y, Z, T ), ! vsubst( X, Y, Z ) = T, alpha47( X, Y, Z, T ) }
% 0.71/1.11 .
% 0.71/1.11 { vsubst( X, Y, Z ) = T, alpha44( X, Y, Z, T ) }.
% 0.71/1.11 { ! alpha47( X, Y, Z, T ), alpha44( X, Y, Z, T ) }.
% 0.71/1.11 { ! alpha47( X, Y, Z, T ), X = skol16( X, U, W, V0 ) }.
% 0.71/1.11 { ! alpha47( X, Y, Z, T ), alpha49( Y, Z, T, skol16( X, Y, Z, T ) ) }.
% 0.71/1.11 { ! X = U, ! alpha49( Y, Z, T, U ), alpha47( X, Y, Z, T ) }.
% 0.71/1.11 { ! alpha49( X, Y, Z, T ), X = skol17( X, U, W, V0 ) }.
% 0.71/1.11 { ! alpha49( X, Y, Z, T ), alpha2( Y, T, skol44( U, Y, W, T ) ) }.
% 0.71/1.11 { ! alpha49( X, Y, Z, T ), Z = skol17( X, Y, Z, T ) }.
% 0.71/1.11 { ! X = U, ! alpha2( Y, T, W ), ! Z = U, alpha49( X, Y, Z, T ) }.
% 0.71/1.11 { ! alpha23( X, Y, Z ), X = vabs( skol18( X, Y, Z ), skol45( X, Y, Z ),
% 0.71/1.11 skol63( X, Y, Z ) ) }.
% 0.71/1.11 { ! alpha23( X, Y, Z ), Z = skol18( X, Y, Z ) }.
% 0.71/1.11 { ! alpha23( X, Y, Z ), Y = vabs( skol18( X, Y, Z ), skol45( X, Y, Z ),
% 0.71/1.11 skol63( X, Y, Z ) ) }.
% 0.71/1.11 { ! X = vabs( T, U, W ), ! Z = T, ! Y = vabs( T, U, W ), alpha23( X, Y, Z )
% 0.71/1.11 }.
% 0.71/1.11 { ! alpha18( X, Y, Z ), X = Z }.
% 0.71/1.11 { ! alpha18( X, Y, Z ), Y = skol19( Y ) }.
% 0.71/1.11 { ! X = Z, ! Y = T, alpha18( X, Y, Z ) }.
% 0.71/1.11 { ! alpha12( X, Y, Z ), ! Z = skol20( T, U, Z ) }.
% 0.71/1.11 { ! alpha12( X, Y, Z ), Y = vvar( skol20( T, Y, Z ) ) }.
% 0.71/1.11 { ! alpha12( X, Y, Z ), X = vvar( skol20( X, Y, Z ) ) }.
% 0.71/1.11 { ! X = vvar( T ), Z = T, ! Y = vvar( T ), alpha12( X, Y, Z ) }.
% 0.71/1.11 { ! alpha6( X, Y, Z ), X = Z }.
% 0.71/1.11 { ! alpha6( X, Y, Z ), Y = skol21( Y ) }.
% 0.71/1.11 { ! X = Z, ! Y = T, alpha6( X, Y, Z ) }.
% 0.71/1.11 { ! alpha2( X, Y, Z ), X = vvar( Z ) }.
% 0.71/1.11 { ! alpha2( X, Y, Z ), Y = Z }.
% 0.71/1.11 { ! X = vvar( Z ), ! Y = Z, alpha2( X, Y, Z ) }.
% 0.71/1.11 { ! &&, vnoExp = vnoExp }.
% 0.71/1.11 { ! vsomeExp( X ) = vsomeExp( Y ), X = Y }.
% 0.71/1.11 { ! X = Y, vsomeExp( X ) = vsomeExp( Y ) }.
% 0.71/1.11 { ! vnoExp = vsomeExp( X ) }.
% 0.71/1.11 { ! X = vnoExp, ! visSomeExp( X ) }.
% 0.71/1.11 { ! X = vsomeExp( Y ), visSomeExp( X ) }.
% 0.71/1.11 { ! X = vsomeExp( Y ), ! Z = vgetSomeExp( X ), Z = Y }.
% 0.71/1.11 { ! X = vvar( Y ), ! Z = vreduce( X ), Z = vnoExp }.
% 0.71/1.11 { ! X = vabs( Y, Z, T ), ! U = vreduce( X ), U = vnoExp }.
% 0.71/1.11 { ! Y = vapp( vabs( Z, T, U ), X ), ! W = vreduce( X ), ! visSomeExp( W ),
% 0.71/1.11 ! V0 = vreduce( Y ), V0 = vsomeExp( vapp( vabs( Z, T, U ), vgetSomeExp( W
% 0.71/1.11 ) ) ) }.
% 0.71/1.11 { ! X = vapp( vabs( Y, U, T ), Z ), ! W = vreduce( Z ), visSomeExp( W ), !
% 0.71/1.11 visValue( Z ), ! V0 = vreduce( X ), V0 = vsomeExp( vsubst( Y, Z, T ) ) }
% 0.71/1.11 .
% 0.71/1.11 { ! Y = vapp( vabs( Z, T, U ), X ), ! W = vreduce( X ), visSomeExp( W ),
% 0.71/1.11 visValue( X ), ! V0 = vreduce( Y ), V0 = vnoExp }.
% 0.71/1.11 { ! Y = vapp( X, Z ), X = vabs( skol22( X ), skol46( X ), skol64( X ) ), !
% 0.71/1.11 T = vreduce( X ), ! visSomeExp( T ), ! U = vreduce( Y ), U = vsomeExp(
% 0.71/1.11 vapp( vgetSomeExp( T ), Z ) ) }.
% 0.71/1.11 { ! Y = vapp( X, Z ), X = vabs( skol23( X ), skol47( X ), skol65( X ) ), !
% 0.71/1.11 T = vreduce( X ), visSomeExp( T ), ! U = vreduce( Y ), U = vnoExp }.
% 0.71/1.11 { alpha3( X, Y ), alpha13( Y, skol24( Z, Y ) ) }.
% 0.71/1.11 { alpha3( X, Y ), alpha7( X, skol24( X, Y ) ) }.
% 0.71/1.11 { ! alpha13( X, Y ), ! visSomeExp( skol25( Z, T ) ) }.
% 0.71/1.11 { ! alpha13( X, Y ), skol25( Z, Y ) = vreduce( Y ) }.
% 0.71/1.11 { ! alpha13( X, Y ), X = vnoExp }.
% 0.71/1.11 { ! Z = vreduce( Y ), visSomeExp( Z ), ! X = vnoExp, alpha13( X, Y ) }.
% 0.71/1.11 { ! alpha7( X, Y ), X = vapp( Y, skol26( X, Y ) ) }.
% 0.71/1.11 { ! alpha7( X, Y ), ! Y = vabs( Z, T, U ) }.
% 0.71/1.11 { ! X = vapp( Y, Z ), Y = vabs( skol48( Y ), skol66( Y ), skol77( Y ) ),
% 0.71/1.11 alpha7( X, Y ) }.
% 0.71/1.11 { ! alpha3( X, Y ), alpha8( X, Y ), alpha14( X, Y ) }.
% 0.71/1.11 { ! alpha8( X, Y ), alpha3( X, Y ) }.
% 0.71/1.11 { ! alpha14( X, Y ), alpha3( X, Y ) }.
% 0.71/1.11 { ! alpha14( X, Y ), alpha24( X, skol27( X, Y ), skol49( X, Y ) ) }.
% 0.71/1.11 { ! alpha14( X, Y ), alpha19( skol27( X, Y ), skol67( X, Y ) ) }.
% 0.71/1.11 { ! alpha14( X, Y ), Y = vsomeExp( vapp( vgetSomeExp( skol67( X, Y ) ),
% 0.71/1.11 skol49( X, Y ) ) ) }.
% 0.71/1.11 { ! alpha24( X, Z, T ), ! alpha19( Z, U ), ! Y = vsomeExp( vapp(
% 0.71/1.11 vgetSomeExp( U ), T ) ), alpha14( X, Y ) }.
% 0.71/1.11 { ! alpha24( X, Y, Z ), X = vapp( Y, Z ) }.
% 0.71/1.11 { ! alpha24( X, Y, Z ), ! Y = vabs( T, U, W ) }.
% 0.71/1.11 { ! X = vapp( Y, Z ), Y = vabs( skol28( Y ), skol50( Y ), skol68( Y ) ),
% 0.71/1.11 alpha24( X, Y, Z ) }.
% 0.71/1.11 { ! alpha19( X, Y ), Y = vreduce( X ) }.
% 0.71/1.11 { ! alpha19( X, Y ), visSomeExp( Y ) }.
% 0.71/1.11 { ! Y = vreduce( X ), ! visSomeExp( Y ), alpha19( X, Y ) }.
% 0.71/1.11 { ! alpha8( X, Y ), alpha15( X, Y ), alpha20( X, Y ) }.
% 0.71/1.11 { ! alpha15( X, Y ), alpha8( X, Y ) }.
% 0.71/1.11 { ! alpha20( X, Y ), alpha8( X, Y ) }.
% 0.71/1.11 { ! alpha20( X, Y ), alpha25( Y, skol29( Z, Y ) ) }.
% 0.71/1.11 { ! alpha20( X, Y ), X = vapp( vabs( skol51( X, Y ), skol69( X, Y ), skol78
% 0.71/1.11 ( X, Y ) ), skol29( X, Y ) ) }.
% 0.71/1.11 { ! X = vapp( vabs( T, U, W ), Z ), ! alpha25( Y, Z ), alpha20( X, Y ) }.
% 0.71/1.11 { ! alpha25( X, Y ), alpha29( Y, skol30( Z, Y ) ) }.
% 0.71/1.11 { ! alpha25( X, Y ), X = vnoExp }.
% 0.71/1.11 { ! alpha29( Y, Z ), ! X = vnoExp, alpha25( X, Y ) }.
% 0.71/1.11 { ! alpha29( X, Y ), Y = vreduce( X ) }.
% 0.71/1.11 { ! alpha29( X, Y ), ! visSomeExp( Y ) }.
% 0.71/1.11 { ! alpha29( X, Y ), ! visValue( X ) }.
% 0.71/1.11 { ! Y = vreduce( X ), visSomeExp( Y ), visValue( X ), alpha29( X, Y ) }.
% 0.71/1.11 { ! alpha15( X, Y ), alpha21( X, Y ), alpha26( X, Y ) }.
% 0.71/1.11 { ! alpha21( X, Y ), alpha15( X, Y ) }.
% 0.71/1.11 { ! alpha26( X, Y ), alpha15( X, Y ) }.
% 0.71/1.11 { ! alpha26( X, Y ), X = vapp( vabs( skol31( X, Y ), skol79( X, Y ), skol70
% 0.71/1.11 ( X, Y ) ), skol52( X, Y ) ) }.
% 0.71/1.11 { ! alpha26( X, Y ), alpha30( skol52( X, Y ), skol83( X, Y ) ) }.
% 0.71/1.11 { ! alpha26( X, Y ), Y = vsomeExp( vsubst( skol31( X, Y ), skol52( X, Y ),
% 0.71/1.11 skol70( X, Y ) ) ) }.
% 0.71/1.11 { ! X = vapp( vabs( Z, W, U ), T ), ! alpha30( T, V0 ), ! Y = vsomeExp(
% 0.71/1.11 vsubst( Z, T, U ) ), alpha26( X, Y ) }.
% 0.71/1.11 { ! alpha30( X, Y ), Y = vreduce( X ) }.
% 0.71/1.11 { ! alpha30( X, Y ), ! visSomeExp( Y ) }.
% 0.71/1.11 { ! alpha30( X, Y ), visValue( X ) }.
% 0.71/1.11 { ! Y = vreduce( X ), visSomeExp( Y ), ! visValue( X ), alpha30( X, Y ) }.
% 0.71/1.11 { ! alpha21( X, Y ), alpha27( X, Y ), alpha31( X, Y ) }.
% 0.71/1.11 { ! alpha27( X, Y ), alpha21( X, Y ) }.
% 0.71/1.11 { ! alpha31( X, Y ), alpha21( X, Y ) }.
% 0.71/1.11 { ! alpha31( X, Y ), X = vapp( vabs( skol53( X, Y ), skol71( X, Y ), skol80
% 0.71/1.11 ( X, Y ) ), skol32( X, Y ) ) }.
% 0.71/1.11 { ! alpha31( X, Y ), alpha35( skol32( X, Y ), skol84( X, Y ) ) }.
% 0.71/1.11 { ! alpha31( X, Y ), Y = vsomeExp( vapp( vabs( skol53( X, Y ), skol71( X, Y
% 0.71/1.11 ), skol80( X, Y ) ), vgetSomeExp( skol84( X, Y ) ) ) ) }.
% 0.71/1.11 { ! X = vapp( vabs( T, U, W ), Z ), ! alpha35( Z, V0 ), ! Y = vsomeExp(
% 0.71/1.11 vapp( vabs( T, U, W ), vgetSomeExp( V0 ) ) ), alpha31( X, Y ) }.
% 0.71/1.11 { ! alpha35( X, Y ), Y = vreduce( X ) }.
% 0.71/1.11 { ! alpha35( X, Y ), visSomeExp( Y ) }.
% 0.71/1.11 { ! Y = vreduce( X ), ! visSomeExp( Y ), alpha35( X, Y ) }.
% 0.71/1.11 { ! alpha27( X, Y ), alpha32( X, Y ), X = vabs( skol33( X ), skol54( X ),
% 0.71/1.11 skol72( X ) ) }.
% 0.71/1.11 { ! alpha27( X, Y ), alpha32( X, Y ), Y = vnoExp }.
% 0.71/1.11 { ! alpha32( X, Y ), alpha27( X, Y ) }.
% 0.71/1.11 { ! X = vabs( Z, T, U ), ! Y = vnoExp, alpha27( X, Y ) }.
% 0.71/1.11 { ! alpha32( X, Y ), ! vreduce( X ) = Y, X = vvar( skol34( X ) ) }.
% 0.71/1.11 { ! alpha32( X, Y ), ! vreduce( X ) = Y, Y = vnoExp }.
% 0.71/1.11 { vreduce( X ) = Y, alpha32( X, Y ) }.
% 0.71/1.11 { ! X = vvar( Z ), ! Y = vnoExp, alpha32( X, Y ) }.
% 0.71/1.11 { ! varrow( X, Y ) = varrow( Z, T ), X = Z }.
% 0.71/1.11 { ! varrow( X, Y ) = varrow( Z, T ), Y = T }.
% 0.71/1.11 { ! X = Z, ! Y = T, varrow( X, Y ) = varrow( Z, T ) }.
% 0.71/1.11 { ! vlookup( Y, X ) = vsomeType( Z ), vtcheck( X, vvar( Y ), Z ) }.
% 0.71/1.11 { ! vtcheck( vbind( Y, T, X ), Z, U ), vtcheck( X, vabs( Y, T, Z ), varrow
% 0.71/1.11 ( T, U ) ) }.
% 0.71/1.11 { ! vtcheck( X, Y, varrow( U, T ) ), ! vtcheck( X, Z, U ), vtcheck( X, vapp
% 0.71/1.11 ( Y, Z ), T ) }.
% 0.71/1.11 { alpha4( X, Y, Z ), X = vapp( skol35( X, Y, Z ), skol55( X, Y, Z ) ) }.
% 0.71/1.11 { alpha4( X, Y, Z ), vtcheck( Z, skol35( X, Y, Z ), varrow( skol73( X, Y, Z
% 0.71/1.11 ), Y ) ) }.
% 0.71/1.11 { alpha4( X, Y, Z ), vtcheck( Z, skol55( X, Y, Z ), skol73( X, Y, Z ) ) }.
% 0.71/1.11 { ! alpha4( X, Y, Z ), alpha9( X, Y, Z ), alpha16( X, Y, Z ) }.
% 0.71/1.11 { ! alpha9( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.71/1.11 { ! alpha16( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.71/1.11 { ! alpha16( X, Y, Z ), X = vabs( skol36( X, Y, Z ), skol74( X, Y, Z ),
% 0.71/1.11 skol56( X, Y, Z ) ) }.
% 0.71/1.11 { ! alpha16( X, Y, Z ), Y = varrow( skol74( X, Y, Z ), skol81( X, Y, Z ) )
% 0.71/1.11 }.
% 0.71/1.11 { ! alpha16( X, Y, Z ), vtcheck( vbind( skol36( X, Y, Z ), skol74( X, Y, Z
% 0.71/1.11 ), Z ), skol56( X, Y, Z ), skol81( X, Y, Z ) ) }.
% 0.71/1.11 { ! X = vabs( T, W, U ), ! Y = varrow( W, V0 ), ! vtcheck( vbind( T, W, Z )
% 0.71/1.11 , U, V0 ), alpha16( X, Y, Z ) }.
% 0.71/1.11 { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ), X = vvar( skol37( X, T, U ) )
% 0.71/1.11 }.
% 0.71/1.11 { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ), vlookup( skol37( X, Y, Z ), Z
% 0.71/1.11 ) = vsomeType( Y ) }.
% 0.71/1.11 { vtcheck( Z, X, Y ), alpha9( X, Y, Z ) }.
% 0.71/1.11 { ! X = vvar( T ), ! vlookup( T, Z ) = vsomeType( Y ), alpha9( X, Y, Z ) }
% 0.71/1.11 .
% 0.71/1.11 { valphaEquivalent( X, X ) }.
% 0.71/1.11 { ! valphaEquivalent( Y, X ), valphaEquivalent( X, Y ) }.
% 0.71/1.11 { ! valphaEquivalent( X, Z ), ! valphaEquivalent( Z, Y ), valphaEquivalent
% 0.71/1.11 ( X, Y ) }.
% 0.71/1.11 { visFreeVar( X, Y ), valphaEquivalent( vabs( T, Z, Y ), vabs( X, Z, vsubst
% 0.71/1.11 ( T, vvar( X ), Y ) ) ) }.
% 0.71/1.11 { ! vtcheck( X, T, Z ), ! valphaEquivalent( T, Y ), vtcheck( X, Y, Z ) }.
% 0.71/1.11 { visFreeVar( X, Z ), ! valphaEquivalent( Z, Y ), ! visFreeVar( X, Y ) }.
% 0.71/1.11 { ! vlookup( X, Y ) = vnoType, ! vtcheck( Y, Z, T ), vtcheck( vbind( X, U,
% 0.71/1.11 Y ), Z, T ) }.
% 0.71/1.11 { visFreeVar( T, Y ), ! vtcheck( vbind( T, U, X ), Y, Z ), vtcheck( X, Y, Z
% 0.71/1.11 ) }.
% 0.71/1.11 { visFreeVar( X, Z ), ! vtcheck( Y, Z, T ), vtcheck( vbind( X, U, Y ), Z, T
% 0.71/1.11 ) }.
% 0.71/1.11 { Y = T, visFreeVar( T, Z ), ! vtcheck( X, Z, V1 ), ! vtcheck( vbind( Y, V1
% 0.71/1.11 , X ), vabs( T, U, W ), V0 ), vtcheck( X, vsubst( Y, Z, vabs( T, U, W ) )
% 0.71/1.11 , V0 ) }.
% 0.71/1.11 { ! Y = vgensym( vapp( vapp( Z, T ), vvar( X ) ) ), ! X = Y }.
% 0.71/1.11 { skol38 = vgensym( vapp( vapp( skol75, skol57 ), vvar( skol82 ) ) ) }.
% 0.71/1.11 { visFreeVar( skol38, skol57 ) }.
% 0.71/1.11
% 0.71/1.11 *** allocated 15000 integers for clauses
% 0.71/1.11 percentage equality = 0.464179, percentage horn = 0.796078
% 0.71/1.11 This is a problem with some equality
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Options Used:
% 0.71/1.11
% 0.71/1.11 useres = 1
% 0.71/1.11 useparamod = 1
% 0.71/1.11 useeqrefl = 1
% 0.71/1.11 useeqfact = 1
% 0.71/1.11 usefactor = 1
% 0.71/1.11 usesimpsplitting = 0
% 0.71/1.11 usesimpdemod = 5
% 0.71/1.11 usesimpres = 3
% 0.71/1.11
% 0.71/1.11 resimpinuse = 1000
% 0.71/1.11 resimpclauses = 20000
% 0.71/1.11 substype = eqrewr
% 0.71/1.11 backwardsubs = 1
% 0.71/1.11 selectoldest = 5
% 0.71/1.11
% 0.71/1.11 litorderings [0] = split
% 0.71/1.11 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.11
% 0.71/1.11 termordering = kbo
% 0.71/1.11
% 0.71/1.11 litapriori = 0
% 0.71/1.11 termapriori = 1
% 0.71/1.11 litaposteriori = 0
% 0.71/1.11 termaposteriori = 0
% 0.71/1.11 demodaposteriori = 0
% 0.71/1.11 ordereqreflfact = 0
% 0.71/1.11
% 0.71/1.11 litselect = negord
% 0.71/1.11
% 0.71/1.11 maxweight = 15
% 0.71/1.11 maxdepth = 30000
% 0.71/1.11 maxlength = 115
% 0.71/1.11 maxnrvars = 195
% 0.71/1.11 excuselevel = 1
% 0.71/1.11 increasemaxweight = 1
% 0.71/1.11
% 0.71/1.11 maxselected = 10000000
% 0.71/1.11 maxnrclauses = 10000000
% 0.71/1.11
% 0.71/1.11 showgenerated = 0
% 0.71/1.11 showkept = 0
% 0.71/1.11 showselected = 0
% 0.71/1.11 showdeleted = 0
% 0.71/1.11 showresimp = 1
% 0.71/1.11 showstatus = 2000
% 0.71/1.11
% 0.71/1.11 prologoutput = 0
% 0.71/1.11 nrgoals = 5000000
% 0.71/1.11 totalproof = 1
% 0.71/1.11
% 0.71/1.11 Symbols occurring in the translation:
% 0.71/1.11
% 0.71/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.11 . [1, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.71/1.11 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.71/1.11 ! [4, 1] (w:0, o:48, a:1, s:1, b:0),
% 0.71/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.11 vvar [37, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.71/1.11 vabs [42, 3] (w:1, o:150, a:1, s:1, b:0),
% 0.71/1.11 vapp [45, 2] (w:1, o:106, a:1, s:1, b:0),
% 0.71/1.11 visValue [49, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.71/1.11 visFreeVar [53, 2] (w:1, o:107, a:1, s:1, b:0),
% 0.71/1.11 vempty [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.71/1.11 vbind [58, 3] (w:1, o:151, a:1, s:1, b:0),
% 0.71/1.11 vnoType [59, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.71/1.11 vsomeType [60, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.71/1.11 visSomeType [62, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.71/1.11 vgetSomeType [64, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.71/1.11 vlookup [65, 2] (w:1, o:108, a:1, s:1, b:0),
% 0.71/1.11 vtcheck [70, 3] (w:1, o:153, a:1, s:1, b:0),
% 0.71/1.11 vgensym [71, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.71/1.11 vsubst [72, 3] (w:1, o:152, a:1, s:1, b:0),
% 0.71/1.11 vnoExp [74, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.71/1.11 vsomeExp [75, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.71/1.11 visSomeExp [77, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.71/1.11 vgetSomeExp [78, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.71/1.11 vreduce [79, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.71/1.11 varrow [87, 2] (w:1, o:109, a:1, s:1, b:0),
% 0.71/1.11 valphaEquivalent [90, 2] (w:1, o:110, a:1, s:1, b:0),
% 0.71/1.11 alpha1 [92, 2] (w:1, o:111, a:1, s:1, b:1),
% 0.71/1.11 alpha2 [93, 3] (w:1, o:160, a:1, s:1, b:1),
% 0.71/1.11 alpha3 [94, 2] (w:1, o:118, a:1, s:1, b:1),
% 0.71/1.11 alpha4 [95, 3] (w:1, o:161, a:1, s:1, b:1),
% 1.48/1.93 alpha5 [96, 3] (w:1, o:162, a:1, s:1, b:1),
% 1.48/1.93 alpha6 [97, 3] (w:1, o:163, a:1, s:1, b:1),
% 1.48/1.93 alpha7 [98, 2] (w:1, o:119, a:1, s:1, b:1),
% 1.48/1.93 alpha8 [99, 2] (w:1, o:120, a:1, s:1, b:1),
% 1.48/1.93 alpha9 [100, 3] (w:1, o:164, a:1, s:1, b:1),
% 1.48/1.93 alpha10 [101, 3] (w:1, o:154, a:1, s:1, b:1),
% 1.48/1.93 alpha11 [102, 3] (w:1, o:155, a:1, s:1, b:1),
% 1.48/1.93 alpha12 [103, 3] (w:1, o:156, a:1, s:1, b:1),
% 1.48/1.93 alpha13 [104, 2] (w:1, o:121, a:1, s:1, b:1),
% 1.48/1.93 alpha14 [105, 2] (w:1, o:122, a:1, s:1, b:1),
% 1.48/1.93 alpha15 [106, 2] (w:1, o:123, a:1, s:1, b:1),
% 1.48/1.93 alpha16 [107, 3] (w:1, o:157, a:1, s:1, b:1),
% 1.48/1.93 alpha17 [108, 3] (w:1, o:158, a:1, s:1, b:1),
% 1.48/1.93 alpha18 [109, 3] (w:1, o:159, a:1, s:1, b:1),
% 1.48/1.93 alpha19 [110, 2] (w:1, o:124, a:1, s:1, b:1),
% 1.48/1.93 alpha20 [111, 2] (w:1, o:112, a:1, s:1, b:1),
% 1.48/1.93 alpha21 [112, 2] (w:1, o:113, a:1, s:1, b:1),
% 1.48/1.93 alpha22 [113, 3] (w:1, o:165, a:1, s:1, b:1),
% 1.48/1.93 alpha23 [114, 3] (w:1, o:166, a:1, s:1, b:1),
% 1.48/1.93 alpha24 [115, 3] (w:1, o:167, a:1, s:1, b:1),
% 1.48/1.93 alpha25 [116, 2] (w:1, o:114, a:1, s:1, b:1),
% 1.48/1.93 alpha26 [117, 2] (w:1, o:115, a:1, s:1, b:1),
% 1.48/1.93 alpha27 [118, 2] (w:1, o:116, a:1, s:1, b:1),
% 1.48/1.93 alpha28 [119, 4] (w:1, o:188, a:1, s:1, b:1),
% 1.48/1.93 alpha29 [120, 2] (w:1, o:117, a:1, s:1, b:1),
% 1.48/1.93 alpha30 [121, 2] (w:1, o:125, a:1, s:1, b:1),
% 1.48/1.93 alpha31 [122, 2] (w:1, o:126, a:1, s:1, b:1),
% 1.48/1.93 alpha32 [123, 2] (w:1, o:127, a:1, s:1, b:1),
% 1.48/1.93 alpha33 [124, 4] (w:1, o:189, a:1, s:1, b:1),
% 1.48/1.93 alpha34 [125, 4] (w:1, o:190, a:1, s:1, b:1),
% 1.48/1.93 alpha35 [126, 2] (w:1, o:128, a:1, s:1, b:1),
% 1.48/1.93 alpha36 [127, 4] (w:1, o:191, a:1, s:1, b:1),
% 1.48/1.93 alpha37 [128, 4] (w:1, o:192, a:1, s:1, b:1),
% 1.48/1.93 alpha38 [129, 4] (w:1, o:193, a:1, s:1, b:1),
% 1.48/1.93 alpha39 [130, 5] (w:1, o:222, a:1, s:1, b:1),
% 1.48/1.93 alpha40 [131, 4] (w:1, o:194, a:1, s:1, b:1),
% 1.48/1.93 alpha41 [132, 4] (w:1, o:195, a:1, s:1, b:1),
% 1.48/1.93 alpha42 [133, 4] (w:1, o:196, a:1, s:1, b:1),
% 1.48/1.93 alpha43 [134, 4] (w:1, o:197, a:1, s:1, b:1),
% 1.48/1.93 alpha44 [135, 4] (w:1, o:198, a:1, s:1, b:1),
% 1.48/1.93 alpha45 [136, 5] (w:1, o:223, a:1, s:1, b:1),
% 1.48/1.93 alpha46 [137, 4] (w:1, o:199, a:1, s:1, b:1),
% 1.48/1.93 alpha47 [138, 4] (w:1, o:200, a:1, s:1, b:1),
% 1.48/1.93 alpha48 [139, 6] (w:1, o:224, a:1, s:1, b:1),
% 1.48/1.93 alpha49 [140, 4] (w:1, o:201, a:1, s:1, b:1),
% 1.48/1.93 skol1 [141, 3] (w:1, o:168, a:1, s:1, b:1),
% 1.48/1.93 skol2 [142, 3] (w:1, o:170, a:1, s:1, b:1),
% 1.48/1.93 skol3 [143, 3] (w:1, o:172, a:1, s:1, b:1),
% 1.48/1.93 skol4 [144, 3] (w:1, o:177, a:1, s:1, b:1),
% 1.48/1.93 skol5 [145, 1] (w:1, o:66, a:1, s:1, b:1),
% 1.48/1.93 skol6 [146, 4] (w:1, o:202, a:1, s:1, b:1),
% 1.48/1.93 skol7 [147, 4] (w:1, o:206, a:1, s:1, b:1),
% 1.48/1.93 skol8 [148, 4] (w:1, o:208, a:1, s:1, b:1),
% 1.48/1.93 skol9 [149, 4] (w:1, o:209, a:1, s:1, b:1),
% 1.48/1.93 skol10 [150, 4] (w:1, o:210, a:1, s:1, b:1),
% 1.48/1.93 skol11 [151, 4] (w:1, o:211, a:1, s:1, b:1),
% 1.48/1.93 skol12 [152, 4] (w:1, o:212, a:1, s:1, b:1),
% 1.48/1.93 skol13 [153, 4] (w:1, o:213, a:1, s:1, b:1),
% 1.48/1.93 skol14 [154, 4] (w:1, o:214, a:1, s:1, b:1),
% 1.48/1.93 skol15 [155, 4] (w:1, o:215, a:1, s:1, b:1),
% 1.48/1.93 skol16 [156, 4] (w:1, o:216, a:1, s:1, b:1),
% 1.48/1.93 skol17 [157, 4] (w:1, o:217, a:1, s:1, b:1),
% 1.48/1.93 skol18 [158, 3] (w:1, o:169, a:1, s:1, b:1),
% 1.48/1.93 skol19 [159, 1] (w:1, o:67, a:1, s:1, b:1),
% 1.48/1.93 skol20 [160, 3] (w:1, o:171, a:1, s:1, b:1),
% 1.48/1.93 skol21 [161, 1] (w:1, o:68, a:1, s:1, b:1),
% 1.48/1.93 skol22 [162, 1] (w:1, o:69, a:1, s:1, b:1),
% 1.48/1.93 skol23 [163, 1] (w:1, o:70, a:1, s:1, b:1),
% 1.48/1.93 skol24 [164, 2] (w:1, o:129, a:1, s:1, b:1),
% 1.48/1.93 skol25 [165, 2] (w:1, o:130, a:1, s:1, b:1),
% 1.48/1.93 skol26 [166, 2] (w:1, o:131, a:1, s:1, b:1),
% 1.48/1.93 skol27 [167, 2] (w:1, o:132, a:1, s:1, b:1),
% 1.48/1.93 skol28 [168, 1] (w:1, o:71, a:1, s:1, b:1),
% 1.48/1.93 skol29 [169, 2] (w:1, o:133, a:1, s:1, b:1),
% 1.48/1.93 skol30 [170, 2] (w:1, o:134, a:1, s:1, b:1),
% 1.48/1.93 skol31 [171, 2] (w:1, o:135, a:1, s:1, b:1),
% 1.48/1.93 skol32 [172, 2] (w:1, o:136, a:1, s:1, b:1),
% 1.48/1.93 skol33 [173, 1] (w:1, o:72, a:1, s:1, b:1),
% 1.48/1.93 skol34 [174, 1] (w:1, o:73, a:1, s:1, b:1),
% 16.84/17.22 skol35 [175, 3] (w:1, o:173, a:1, s:1, b:1),
% 16.84/17.22 skol36 [176, 3] (w:1, o:174, a:1, s:1, b:1),
% 16.84/17.22 skol37 [177, 3] (w:1, o:175, a:1, s:1, b:1),
% 16.84/17.22 skol38 [178, 0] (w:1, o:44, a:1, s:1, b:1),
% 16.84/17.22 skol39 [179, 3] (w:1, o:176, a:1, s:1, b:1),
% 16.84/17.22 skol40 [180, 3] (w:1, o:178, a:1, s:1, b:1),
% 16.84/17.22 skol41 [181, 4] (w:1, o:218, a:1, s:1, b:1),
% 16.84/17.22 skol42 [182, 4] (w:1, o:219, a:1, s:1, b:1),
% 16.84/17.22 skol43 [183, 4] (w:1, o:220, a:1, s:1, b:1),
% 16.84/17.22 skol44 [184, 4] (w:1, o:221, a:1, s:1, b:1),
% 16.84/17.22 skol45 [185, 3] (w:1, o:179, a:1, s:1, b:1),
% 16.84/17.22 skol46 [186, 1] (w:1, o:63, a:1, s:1, b:1),
% 16.84/17.22 skol47 [187, 1] (w:1, o:64, a:1, s:1, b:1),
% 16.84/17.22 skol48 [188, 1] (w:1, o:65, a:1, s:1, b:1),
% 16.84/17.22 skol49 [189, 2] (w:1, o:137, a:1, s:1, b:1),
% 16.84/17.22 skol50 [190, 1] (w:1, o:74, a:1, s:1, b:1),
% 16.84/17.22 skol51 [191, 2] (w:1, o:138, a:1, s:1, b:1),
% 16.84/17.22 skol52 [192, 2] (w:1, o:139, a:1, s:1, b:1),
% 16.84/17.22 skol53 [193, 2] (w:1, o:140, a:1, s:1, b:1),
% 16.84/17.22 skol54 [194, 1] (w:1, o:75, a:1, s:1, b:1),
% 16.84/17.22 skol55 [195, 3] (w:1, o:180, a:1, s:1, b:1),
% 16.84/17.22 skol56 [196, 3] (w:1, o:181, a:1, s:1, b:1),
% 16.84/17.22 skol57 [197, 0] (w:1, o:45, a:1, s:1, b:1),
% 16.84/17.22 skol58 [198, 3] (w:1, o:182, a:1, s:1, b:1),
% 16.84/17.22 skol59 [199, 3] (w:1, o:183, a:1, s:1, b:1),
% 16.84/17.22 skol60 [200, 4] (w:1, o:203, a:1, s:1, b:1),
% 16.84/17.22 skol61 [201, 4] (w:1, o:204, a:1, s:1, b:1),
% 16.84/17.22 skol62 [202, 4] (w:1, o:205, a:1, s:1, b:1),
% 16.84/17.22 skol63 [203, 3] (w:1, o:184, a:1, s:1, b:1),
% 16.84/17.22 skol64 [204, 1] (w:1, o:76, a:1, s:1, b:1),
% 16.84/17.22 skol65 [205, 1] (w:1, o:77, a:1, s:1, b:1),
% 16.84/17.22 skol66 [206, 1] (w:1, o:78, a:1, s:1, b:1),
% 16.84/17.22 skol67 [207, 2] (w:1, o:141, a:1, s:1, b:1),
% 16.84/17.22 skol68 [208, 1] (w:1, o:79, a:1, s:1, b:1),
% 16.84/17.22 skol69 [209, 2] (w:1, o:142, a:1, s:1, b:1),
% 16.84/17.22 skol70 [210, 2] (w:1, o:143, a:1, s:1, b:1),
% 16.84/17.22 skol71 [211, 2] (w:1, o:144, a:1, s:1, b:1),
% 16.84/17.22 skol72 [212, 1] (w:1, o:80, a:1, s:1, b:1),
% 16.84/17.22 skol73 [213, 3] (w:1, o:185, a:1, s:1, b:1),
% 16.84/17.22 skol74 [214, 3] (w:1, o:186, a:1, s:1, b:1),
% 16.84/17.22 skol75 [215, 0] (w:1, o:46, a:1, s:1, b:1),
% 16.84/17.22 skol76 [216, 4] (w:1, o:207, a:1, s:1, b:1),
% 16.84/17.22 skol77 [217, 1] (w:1, o:81, a:1, s:1, b:1),
% 16.84/17.22 skol78 [218, 2] (w:1, o:145, a:1, s:1, b:1),
% 16.84/17.22 skol79 [219, 2] (w:1, o:146, a:1, s:1, b:1),
% 16.84/17.22 skol80 [220, 2] (w:1, o:147, a:1, s:1, b:1),
% 16.84/17.22 skol81 [221, 3] (w:1, o:187, a:1, s:1, b:1),
% 16.84/17.22 skol82 [222, 0] (w:1, o:47, a:1, s:1, b:1),
% 16.84/17.22 skol83 [223, 2] (w:1, o:148, a:1, s:1, b:1),
% 16.84/17.22 skol84 [224, 2] (w:1, o:149, a:1, s:1, b:1).
% 16.84/17.22
% 16.84/17.22
% 16.84/17.22 Starting Search:
% 16.84/17.22
% 16.84/17.22 *** allocated 22500 integers for clauses
% 16.84/17.22 *** allocated 33750 integers for clauses
% 16.84/17.22 *** allocated 22500 integers for termspace/termends
% 16.84/17.22 *** allocated 50625 integers for clauses
% 16.84/17.22 *** allocated 75937 integers for clauses
% 16.84/17.22 *** allocated 33750 integers for termspace/termends
% 16.84/17.22 Resimplifying inuse:
% 16.84/17.22 Done
% 16.84/17.22
% 16.84/17.22 *** allocated 113905 integers for clauses
% 16.84/17.22 *** allocated 50625 integers for termspace/termends
% 16.84/17.22
% 16.84/17.22 Intermediate Status:
% 16.84/17.22 Generated: 6599
% 16.84/17.22 Kept: 2066
% 16.84/17.22 Inuse: 91
% 16.84/17.22 Deleted: 0
% 16.84/17.22 Deletedinuse: 0
% 16.84/17.22
% 16.84/17.22 Resimplifying inuse:
% 16.84/17.22 Done
% 16.84/17.22
% 16.84/17.22 *** allocated 170857 integers for clauses
% 16.84/17.22 *** allocated 75937 integers for termspace/termends
% 16.84/17.22 Resimplifying inuse:
% 16.84/17.22 Done
% 16.84/17.22
% 16.84/17.22 *** allocated 256285 integers for clauses
% 16.84/17.22 *** allocated 113905 integers for termspace/termends
% 16.84/17.22
% 16.84/17.22 Intermediate Status:
% 16.84/17.22 Generated: 14193
% 16.84/17.22 Kept: 4072
% 16.84/17.22 Inuse: 146
% 16.84/17.22 Deleted: 1
% 16.84/17.22 Deletedinuse: 0
% 16.84/17.22
% 16.84/17.22 Resimplifying inuse:
% 16.84/17.22 Done
% 16.84/17.22
% 16.84/17.22 Resimplifying inuse:
% 16.84/17.22 Done
% 16.84/17.22
% 16.84/17.22 *** allocated 384427 integers for clauses
% 16.84/17.22 *** allocated 170857 integers for termspace/termends
% 16.84/17.22
% 16.84/17.22 Intermediate Status:
% 16.84/17.22 Generated: 27375
% 16.84/17.22 Kept: 6102
% 16.84/17.22 Inuse: 185
% 16.84/17.22 Deleted: 6
% 16.84/17.22 Deletedinuse: 0
% 16.84/17.22
% 16.84/17.22 Resimplifying inuse:
% 16.84/17.22 Done
% 16.84/17.22
% 16.84/17.22 Resimplifying inuse:
% 16.84/17.22 Done
% 16.84/17.22
% 16.84/17.22
% 16.84/17.22 Intermediate Status:
% 16.84/17.22 Generated: 34376
% 16.84/17.22 Kept: 8241
% 16.84/17.22 Inuse: 222
% 16.84/17.22 Deleted: 6
% 16.84/17.22 Deletedinuse: 0
% 16.84/17.22
% 16.84/17.22 Resimplifying inuse:
% 16.84/17.22 Done
% 16.84/17.22
% 16.84/17.22 *** allocated 576640 integers for clauses
% 16.84/17.22 *** allocated 256285 integers for termspace/termends
% 16.84/17.22 Resimplifying inuse:
% 16.84/17.22 Done
% 16.84/17.22
% 16.84/17.22
% 16.84/17.22 Intermediate Status:
% 22.09/22.48 Generated: 42129
% 22.09/22.48 Kept: 10550
% 22.09/22.48 Inuse: 287
% 22.09/22.48 Deleted: 10
% 22.09/22.48 Deletedinuse: 1
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 *** allocated 384427 integers for termspace/termends
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 *** allocated 864960 integers for clauses
% 22.09/22.48
% 22.09/22.48 Intermediate Status:
% 22.09/22.48 Generated: 81451
% 22.09/22.48 Kept: 13137
% 22.09/22.48 Inuse: 316
% 22.09/22.48 Deleted: 14
% 22.09/22.48 Deletedinuse: 2
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48
% 22.09/22.48 Intermediate Status:
% 22.09/22.48 Generated: 103793
% 22.09/22.48 Kept: 15232
% 22.09/22.48 Inuse: 369
% 22.09/22.48 Deleted: 14
% 22.09/22.48 Deletedinuse: 2
% 22.09/22.48
% 22.09/22.48 *** allocated 576640 integers for termspace/termends
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48
% 22.09/22.48 Intermediate Status:
% 22.09/22.48 Generated: 113634
% 22.09/22.48 Kept: 17333
% 22.09/22.48 Inuse: 436
% 22.09/22.48 Deleted: 17
% 22.09/22.48 Deletedinuse: 2
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 *** allocated 1297440 integers for clauses
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48
% 22.09/22.48 Intermediate Status:
% 22.09/22.48 Generated: 123226
% 22.09/22.48 Kept: 19336
% 22.09/22.48 Inuse: 507
% 22.09/22.48 Deleted: 19
% 22.09/22.48 Deletedinuse: 3
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 Resimplifying clauses:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48
% 22.09/22.48 Intermediate Status:
% 22.09/22.48 Generated: 134052
% 22.09/22.48 Kept: 21587
% 22.09/22.48 Inuse: 570
% 22.09/22.48 Deleted: 300
% 22.09/22.48 Deletedinuse: 7
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 *** allocated 864960 integers for termspace/termends
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48
% 22.09/22.48 Intermediate Status:
% 22.09/22.48 Generated: 143366
% 22.09/22.48 Kept: 24015
% 22.09/22.48 Inuse: 638
% 22.09/22.48 Deleted: 311
% 22.09/22.48 Deletedinuse: 12
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48
% 22.09/22.48 Intermediate Status:
% 22.09/22.48 Generated: 155091
% 22.09/22.48 Kept: 26670
% 22.09/22.48 Inuse: 659
% 22.09/22.48 Deleted: 312
% 22.09/22.48 Deletedinuse: 13
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 *** allocated 1946160 integers for clauses
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48
% 22.09/22.48 Intermediate Status:
% 22.09/22.48 Generated: 163233
% 22.09/22.48 Kept: 28675
% 22.09/22.48 Inuse: 672
% 22.09/22.48 Deleted: 312
% 22.09/22.48 Deletedinuse: 13
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48
% 22.09/22.48 Intermediate Status:
% 22.09/22.48 Generated: 178706
% 22.09/22.48 Kept: 31059
% 22.09/22.48 Inuse: 684
% 22.09/22.48 Deleted: 312
% 22.09/22.48 Deletedinuse: 13
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 *** allocated 1297440 integers for termspace/termends
% 22.09/22.48
% 22.09/22.48 Intermediate Status:
% 22.09/22.48 Generated: 205402
% 22.09/22.48 Kept: 33504
% 22.09/22.48 Inuse: 699
% 22.09/22.48 Deleted: 312
% 22.09/22.48 Deletedinuse: 13
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48
% 22.09/22.48 Intermediate Status:
% 22.09/22.48 Generated: 220362
% 22.09/22.48 Kept: 35533
% 22.09/22.48 Inuse: 724
% 22.09/22.48 Deleted: 317
% 22.09/22.48 Deletedinuse: 18
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48
% 22.09/22.48 Intermediate Status:
% 22.09/22.48 Generated: 228397
% 22.09/22.48 Kept: 37570
% 22.09/22.48 Inuse: 769
% 22.09/22.48 Deleted: 319
% 22.09/22.48 Deletedinuse: 20
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48
% 22.09/22.48 Intermediate Status:
% 22.09/22.48 Generated: 235849
% 22.09/22.48 Kept: 39646
% 22.09/22.48 Inuse: 804
% 22.09/22.48 Deleted: 325
% 22.09/22.48 Deletedinuse: 26
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 Resimplifying clauses:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48
% 22.09/22.48 Intermediate Status:
% 22.09/22.48 Generated: 242062
% 22.09/22.48 Kept: 41684
% 22.09/22.48 Inuse: 833
% 22.09/22.48 Deleted: 1108
% 22.09/22.48 Deletedinuse: 30
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 *** allocated 2919240 integers for clauses
% 22.09/22.48
% 22.09/22.48 Intermediate Status:
% 22.09/22.48 Generated: 249622
% 22.09/22.48 Kept: 43723
% 22.09/22.48 Inuse: 859
% 22.09/22.48 Deleted: 1113
% 22.09/22.48 Deletedinuse: 35
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48
% 22.09/22.48 Intermediate Status:
% 22.09/22.48 Generated: 259249
% 22.09/22.48 Kept: 46209
% 22.09/22.48 Inuse: 894
% 22.09/22.48 Deleted: 1117
% 22.09/22.48 Deletedinuse: 39
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48
% 22.09/22.48 Intermediate Status:
% 22.09/22.48 Generated: 268629
% 22.09/22.48 Kept: 48842
% 22.09/22.48 Inuse: 923
% 22.09/22.48 Deleted: 1123
% 22.09/22.48 Deletedinuse: 44
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 *** allocated 1946160 integers for termspace/termends
% 22.09/22.48
% 22.09/22.48 Intermediate Status:
% 22.09/22.48 Generated: 277065
% 22.09/22.48 Kept: 51163
% 22.09/22.48 Inuse: 938
% 22.09/22.48 Deleted: 1128
% 22.09/22.48 Deletedinuse: 49
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48
% 22.09/22.48 Intermediate Status:
% 22.09/22.48 Generated: 285072
% 22.09/22.48 Kept: 53202
% 22.09/22.48 Inuse: 951
% 22.09/22.48 Deleted: 1128
% 22.09/22.48 Deletedinuse: 49
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48
% 22.09/22.48 Intermediate Status:
% 22.09/22.48 Generated: 293122
% 22.09/22.48 Kept: 55455
% 22.09/22.48 Inuse: 1008
% 22.09/22.48 Deleted: 1128
% 22.09/22.48 Deletedinuse: 49
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48
% 22.09/22.48 Intermediate Status:
% 22.09/22.48 Generated: 301212
% 22.09/22.48 Kept: 57491
% 22.09/22.48 Inuse: 1057
% 22.09/22.48 Deleted: 1129
% 22.09/22.48 Deletedinuse: 50
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48
% 22.09/22.48 Intermediate Status:
% 22.09/22.48 Generated: 306453
% 22.09/22.48 Kept: 59503
% 22.09/22.48 Inuse: 1068
% 22.09/22.48 Deleted: 1129
% 22.09/22.48 Deletedinuse: 50
% 22.09/22.48
% 22.09/22.48 Resimplifying inuse:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48 Resimplifying clauses:
% 22.09/22.48 Done
% 22.09/22.48
% 22.09/22.48
% 22.09/22.48 Bliksems!, er is een bewijs:
% 22.09/22.48 % SZS status Theorem
% 22.09/22.48 % SZS output start Refutation
% 22.09/22.48
% 22.09/22.48 (20) {G0,W14,D3,L4,V5,M4} I { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( T
% 22.09/22.48 , Z ), visFreeVar( X, Y ) }.
% 22.09/22.48 (21) {G0,W14,D3,L4,V5,M4} I { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar( T
% 22.09/22.48 , U ), visFreeVar( X, Y ) }.
% 22.09/22.48 (62) {G0,W7,D3,L2,V2,M2} I { ! vgensym( Y ) = X, ! visFreeVar( X, Y ) }.
% 22.09/22.48 (253) {G0,W9,D5,L1,V0,M1} I { vgensym( vapp( vapp( skol75, skol57 ), vvar(
% 22.09/22.48 skol82 ) ) ) ==> skol38 }.
% 22.09/22.48 (254) {G0,W3,D2,L1,V0,M1} I { visFreeVar( skol38, skol57 ) }.
% 22.09/22.48 (396) {G1,W4,D3,L1,V1,M1} Q(62) { ! visFreeVar( vgensym( X ), X ) }.
% 22.09/22.48 (2250) {G2,W12,D3,L3,V4,M3} R(20,396) { ! vgensym( X ) = Y, ! X = vapp( Z,
% 22.09/22.48 T ), ! visFreeVar( Y, Z ) }.
% 22.09/22.48 (2281) {G3,W9,D4,L2,V3,M2} Q(2250) { ! vgensym( vapp( X, Y ) ) = Z, !
% 22.09/22.48 visFreeVar( Z, X ) }.
% 22.09/22.48 (2282) {G4,W6,D4,L1,V2,M1} Q(2281) { ! visFreeVar( vgensym( vapp( X, Y ) )
% 22.09/22.48 , X ) }.
% 22.09/22.48 (2399) {G1,W11,D3,L3,V3,M3} R(21,254) { ! X = skol38, ! Y = vapp( Z, skol57
% 22.09/22.48 ), visFreeVar( X, Y ) }.
% 22.09/22.48 (2417) {G2,W8,D3,L2,V2,M2} Q(2399) { ! X = skol38, visFreeVar( X, vapp( Y,
% 22.09/22.48 skol57 ) ) }.
% 22.09/22.48 (2418) {G3,W5,D3,L1,V1,M1} Q(2417) { visFreeVar( skol38, vapp( X, skol57 )
% 22.09/22.48 ) }.
% 22.09/22.48 (61672) {G5,W0,D0,L0,V0,M0} P(253,2282);r(2418) { }.
% 22.09/22.48
% 22.09/22.48
% 22.09/22.48 % SZS output end Refutation
% 22.09/22.48 found a proof!
% 22.09/22.48
% 22.09/22.48
% 22.09/22.48 Unprocessed initial clauses:
% 22.09/22.48
% 22.09/22.48 (61674) {G0,W8,D3,L2,V2,M2} { ! vvar( X ) = vvar( Y ), X = Y }.
% 22.09/22.48 (61675) {G0,W8,D3,L2,V2,M2} { ! X = Y, vvar( X ) = vvar( Y ) }.
% 22.09/22.48 (61676) {G0,W12,D3,L2,V6,M2} { ! vabs( X, Y, Z ) = vabs( T, U, W ), X = T
% 22.09/22.48 }.
% 22.09/22.48 (61677) {G0,W12,D3,L2,V6,M2} { ! vabs( X, Y, Z ) = vabs( T, U, W ), Y = U
% 22.09/22.48 }.
% 22.09/22.48 (61678) {G0,W12,D3,L2,V6,M2} { ! vabs( X, Y, Z ) = vabs( T, U, W ), Z = W
% 22.09/22.48 }.
% 22.09/22.48 (61679) {G0,W18,D3,L4,V6,M4} { ! X = T, ! Y = U, ! Z = W, vabs( X, Y, Z )
% 22.09/22.48 = vabs( T, U, W ) }.
% 22.09/22.48 (61680) {G0,W10,D3,L2,V4,M2} { ! vapp( X, Y ) = vapp( Z, T ), X = Z }.
% 22.09/22.48 (61681) {G0,W10,D3,L2,V4,M2} { ! vapp( X, Y ) = vapp( Z, T ), Y = T }.
% 22.09/22.48 (61682) {G0,W13,D3,L3,V4,M3} { ! X = Z, ! Y = T, vapp( X, Y ) = vapp( Z, T
% 22.09/22.48 ) }.
% 22.09/22.48 (61683) {G0,W7,D3,L1,V4,M1} { ! vvar( X ) = vabs( Y, Z, T ) }.
% 22.09/22.48 (61684) {G0,W6,D3,L1,V3,M1} { ! vvar( X ) = vapp( Y, Z ) }.
% 22.09/22.48 (61685) {G0,W8,D3,L1,V5,M1} { ! vabs( X, Y, Z ) = vapp( T, U ) }.
% 22.09/22.48 (61686) {G0,W8,D3,L2,V4,M2} { ! X = vabs( Y, Z, T ), visValue( X ) }.
% 22.09/22.48 (61687) {G0,W6,D3,L2,V2,M2} { ! X = vvar( Y ), ! visValue( X ) }.
% 22.09/22.48 (61688) {G0,W7,D3,L2,V3,M2} { ! X = vapp( Y, Z ), ! visValue( X ) }.
% 22.09/22.48 (61689) {G0,W13,D3,L4,V4,M4} { ! X = T, ! Y = vvar( Z ), ! Z = T,
% 22.09/22.48 visFreeVar( X, Y ) }.
% 22.09/22.48 (61690) {G0,W13,D3,L4,V4,M4} { ! X = T, ! Y = vvar( Z ), ! visFreeVar( X,
% 22.09/22.48 Y ), Z = T }.
% 22.09/22.48 (61691) {G0,W18,D3,L5,V6,M5} { ! X = T, ! Y = vabs( Z, W, U ), Z = T, !
% 22.09/22.48 visFreeVar( T, U ), visFreeVar( X, Y ) }.
% 22.09/22.48 (61692) {G0,W15,D3,L4,V6,M4} { ! X = T, ! Y = vabs( Z, W, U ), !
% 22.09/22.48 visFreeVar( X, Y ), ! Z = T }.
% 22.09/22.48 (61693) {G0,W15,D3,L4,V6,M4} { ! X = T, ! Y = vabs( Z, W, U ), !
% 22.09/22.48 visFreeVar( X, Y ), visFreeVar( T, U ) }.
% 22.09/22.48 (61694) {G0,W14,D3,L4,V5,M4} { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar(
% 22.09/22.48 T, Z ), visFreeVar( X, Y ) }.
% 22.09/22.48 (61695) {G0,W14,D3,L4,V5,M4} { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar(
% 22.09/22.48 T, U ), visFreeVar( X, Y ) }.
% 22.09/22.48 (61696) {G0,W17,D3,L5,V5,M5} { ! X = T, ! Y = vapp( Z, U ), ! visFreeVar(
% 22.09/22.48 X, Y ), visFreeVar( T, Z ), visFreeVar( T, U ) }.
% 22.09/22.48 (61697) {G0,W4,D2,L2,V0,M2} { ! &&, vempty = vempty }.
% 22.09/22.48 (61698) {G0,W12,D3,L2,V6,M2} { ! vbind( X, Y, Z ) = vbind( T, U, W ), X =
% 22.09/22.48 T }.
% 22.09/22.48 (61699) {G0,W12,D3,L2,V6,M2} { ! vbind( X, Y, Z ) = vbind( T, U, W ), Y =
% 22.09/22.48 U }.
% 22.09/22.48 (61700) {G0,W12,D3,L2,V6,M2} { ! vbind( X, Y, Z ) = vbind( T, U, W ), Z =
% 22.09/22.48 W }.
% 22.09/22.48 (61701) {G0,W18,D3,L4,V6,M4} { ! X = T, ! Y = U, ! Z = W, vbind( X, Y, Z )
% 22.09/22.48 = vbind( T, U, W ) }.
% 22.09/22.48 (61702) {G0,W4,D2,L2,V0,M2} { ! &&, vnoType = vnoType }.
% 22.09/22.48 (61703) {G0,W8,D3,L2,V2,M2} { ! vsomeType( X ) = vsomeType( Y ), X = Y }.
% 22.09/22.48 (61704) {G0,W8,D3,L2,V2,M2} { ! X = Y, vsomeType( X ) = vsomeType( Y ) }.
% 22.09/22.48 (61705) {G0,W6,D3,L1,V3,M1} { ! vempty = vbind( X, Y, Z ) }.
% 22.09/22.48 (61706) {G0,W4,D3,L1,V1,M1} { ! vnoType = vsomeType( X ) }.
% 22.09/22.48 (61707) {G0,W5,D2,L2,V1,M2} { ! X = vnoType, ! visSomeType( X ) }.
% 22.09/22.48 (61708) {G0,W6,D3,L2,V2,M2} { ! X = vsomeType( Y ), visSomeType( X ) }.
% 22.09/22.48 (61709) {G0,W11,D3,L3,V3,M3} { ! X = vsomeType( Y ), ! Z = vgetSomeType( X
% 22.09/22.48 ), Z = Y }.
% 22.09/22.48 (61710) {G0,W14,D3,L4,V4,M4} { ! X = Z, ! Y = vempty, ! T = vlookup( X, Y
% 22.09/22.48 ), T = vnoType }.
% 22.09/22.48 (61711) {G0,W21,D3,L5,V7,M5} { ! Z = X, ! T = vbind( Y, U, W ), ! X = Y, !
% 22.09/22.48 V0 = vlookup( Z, T ), V0 = vsomeType( U ) }.
% 22.09/22.48 (61712) {G0,W22,D3,L5,V7,M5} { ! Y = T, ! Z = vbind( X, W, U ), T = X, !
% 22.09/22.48 V0 = vlookup( Y, Z ), V0 = vlookup( T, U ) }.
% 22.09/22.48 (61713) {G0,W10,D3,L2,V5,M2} { alpha5( X, Y, Z ), X = skol1( X, T, U ) }.
% 22.09/22.48 (61714) {G0,W11,D3,L2,V3,M2} { alpha5( X, Y, Z ), alpha10( Y, Z, skol1( X
% 22.09/22.48 , Y, Z ) ) }.
% 22.09/22.48 (61715) {G0,W12,D4,L2,V4,M2} { ! alpha10( X, Y, Z ), Y = vlookup( Z,
% 22.09/22.48 skol39( T, Y, Z ) ) }.
% 22.09/22.48 (61716) {G0,W10,D3,L2,V3,M2} { ! alpha10( X, Y, Z ), ! Z = skol2( X, Y, Z
% 22.09/22.48 ) }.
% 22.09/22.48 (61717) {G0,W19,D4,L2,V3,M2} { ! alpha10( X, Y, Z ), X = vbind( skol2( X,
% 22.09/22.48 Y, Z ), skol58( X, Y, Z ), skol39( X, Y, Z ) ) }.
% 22.09/22.48 (61718) {G0,W18,D3,L4,V6,M4} { ! X = vbind( T, W, U ), Z = T, ! Y =
% 22.09/22.48 vlookup( Z, U ), alpha10( X, Y, Z ) }.
% 22.09/22.48 (61719) {G0,W12,D2,L3,V3,M3} { ! alpha5( X, Y, Z ), alpha11( X, Y, Z ),
% 22.09/22.48 alpha17( X, Y, Z ) }.
% 22.09/22.48 (61720) {G0,W8,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha5( X, Y, Z ) }.
% 22.09/22.48 (61721) {G0,W8,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha5( X, Y, Z ) }.
% 22.09/22.48 (61722) {G0,W10,D3,L2,V5,M2} { ! alpha17( X, Y, Z ), X = skol3( X, T, U )
% 22.09/22.48 }.
% 22.09/22.48 (61723) {G0,W11,D3,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha22( Y, Z, skol3
% 22.09/22.48 ( X, Y, Z ) ) }.
% 22.09/22.48 (61724) {G0,W11,D2,L3,V4,M3} { ! X = T, ! alpha22( Y, Z, T ), alpha17( X,
% 22.09/22.48 Y, Z ) }.
% 22.09/22.48 (61725) {G0,W11,D4,L2,V5,M2} { ! alpha22( X, Y, Z ), Y = vsomeType( skol40
% 22.09/22.48 ( T, Y, U ) ) }.
% 22.09/22.48 (61726) {G0,W10,D3,L2,V3,M2} { ! alpha22( X, Y, Z ), Z = skol4( X, Y, Z )
% 22.09/22.48 }.
% 22.09/22.48 (61727) {G0,W19,D4,L2,V3,M2} { ! alpha22( X, Y, Z ), X = vbind( skol4( X,
% 22.09/22.48 Y, Z ), skol40( X, Y, Z ), skol59( X, Y, Z ) ) }.
% 22.09/22.48 (61728) {G0,W17,D3,L4,V6,M4} { ! X = vbind( T, U, W ), ! Z = T, ! Y =
% 22.09/22.48 vsomeType( U ), alpha22( X, Y, Z ) }.
% 22.09/22.48 (61729) {G0,W12,D3,L3,V3,M3} { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z
% 22.09/22.48 , alpha1( X, Y ) }.
% 22.09/22.48 (61730) {G0,W12,D3,L3,V3,M3} { ! alpha11( X, Y, Z ), ! vlookup( X, Y ) = Z
% 22.09/22.48 , Z = vnoType }.
% 22.09/22.48 (61731) {G0,W9,D3,L2,V3,M2} { vlookup( X, Y ) = Z, alpha11( X, Y, Z ) }.
% 22.09/22.48 (61732) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y ), ! Z = vnoType, alpha11( X
% 22.09/22.48 , Y, Z ) }.
% 22.09/22.48 (61733) {G0,W7,D3,L2,V2,M2} { ! alpha1( X, Y ), X = skol5( X ) }.
% 22.09/22.48 (61734) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), Y = vempty }.
% 22.09/22.48 (61735) {G0,W9,D2,L3,V3,M3} { ! X = Z, ! Y = vempty, alpha1( X, Y ) }.
% 22.09/22.48 (61736) {G0,W20,D4,L3,V7,M3} { ! X = W, ! vtcheck( vbind( X, Y, vbind( W,
% 22.09/22.48 V0, Z ) ), T, U ), vtcheck( vbind( X, Y, Z ), T, U ) }.
% 22.09/22.48 (61737) {G0,W23,D4,L3,V7,M3} { Z = X, ! vtcheck( vbind( Z, T, vbind( X, Y
% 22.09/22.48 , U ) ), W, V0 ), vtcheck( vbind( X, Y, vbind( Z, T, U ) ), W, V0 ) }.
% 22.09/22.48 (61738) {G0,W7,D3,L2,V2,M2} { ! vgensym( Y ) = X, ! visFreeVar( X, Y ) }.
% 22.09/22.48 (61739) {G0,W22,D3,L6,V7,M6} { ! Z = X, ! T = W, ! U = vvar( Y ), ! X = Y
% 22.09/22.48 , ! V0 = vsubst( Z, T, U ), V0 = W }.
% 22.09/22.48 (61740) {G0,W23,D3,L6,V7,M6} { ! Y = X, ! Z = W, ! T = vvar( U ), X = U, !
% 22.09/22.48 V0 = vsubst( Y, Z, T ), V0 = vvar( U ) }.
% 22.09/22.48 (61741) {G0,W28,D4,L5,V8,M5} { ! X = U, ! Y = W, ! Z = vapp( T, V0 ), ! V1
% 22.09/22.48 = vsubst( X, Y, Z ), V1 = vapp( vsubst( U, W, T ), vsubst( U, W, V0 ) )
% 22.09/22.48 }.
% 22.09/22.48 (61742) {G0,W27,D3,L6,V9,M6} { ! Y = X, ! Z = V1, ! T = vabs( U, W, V0 ),
% 22.09/22.48 ! X = U, ! V2 = vsubst( Y, Z, T ), V2 = vabs( U, W, V0 ) }.
% 22.09/22.48 (61743) {G0,W46,D6,L8,V10,M8} { ! X = T, ! Y = U, ! Z = vabs( V0, W, V1 )
% 22.09/22.48 , T = V0, ! visFreeVar( V0, U ), ! V2 = vgensym( vapp( vapp( U, V1 ),
% 22.09/22.48 vvar( T ) ) ), ! V3 = vsubst( X, Y, Z ), V3 = vsubst( T, U, vabs( V2, W,
% 22.09/22.48 vsubst( V0, vvar( V2 ), V1 ) ) ) }.
% 22.09/22.48 (61744) {G0,W33,D4,L7,V9,M7} { ! X = W, ! Y = V0, ! Z = vabs( T, U, V1 ),
% 22.09/22.48 W = T, visFreeVar( T, V0 ), ! V2 = vsubst( X, Y, Z ), V2 = vabs( T, U,
% 22.09/22.48 vsubst( W, V0, V1 ) ) }.
% 22.09/22.48 (61745) {G0,W12,D3,L2,V7,M2} { alpha28( X, Y, Z, T ), X = skol6( X, U, W,
% 22.09/22.48 V0 ) }.
% 22.09/22.48 (61746) {G0,W14,D3,L2,V4,M2} { alpha28( X, Y, Z, T ), alpha33( Y, Z, T,
% 22.09/22.48 skol6( X, Y, Z, T ) ) }.
% 22.09/22.48 (61747) {G0,W12,D3,L2,V7,M2} { ! alpha33( X, Y, Z, T ), X = skol7( X, U, W
% 22.09/22.48 , V0 ) }.
% 22.09/22.48 (61748) {G0,W14,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T ), alpha36( Y, Z, T,
% 22.09/22.48 skol7( X, Y, Z, T ) ) }.
% 22.09/22.48 (61749) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha36( Y, Z, T, U ), alpha33(
% 22.09/22.48 X, Y, Z, T ) }.
% 22.09/22.48 (61750) {G0,W23,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T ), alpha39( X, Z,
% 22.09/22.48 skol8( X, Y, Z, T ), skol41( X, Y, Z, T ), skol60( X, Y, Z, T ) ) }.
% 22.09/22.48 (61751) {G0,W12,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T ), ! visFreeVar(
% 22.09/22.48 skol8( X, Y, Z, T ), T ) }.
% 22.09/22.48 (61752) {G0,W26,D5,L2,V4,M2} { ! alpha36( X, Y, Z, T ), Y = vabs( skol8( X
% 22.09/22.48 , Y, Z, T ), skol41( X, Y, Z, T ), vsubst( Z, T, skol60( X, Y, Z, T ) ) )
% 22.09/22.48 }.
% 22.09/22.48 (61753) {G0,W23,D4,L4,V7,M4} { ! alpha39( X, Z, U, W, V0 ), visFreeVar( U
% 22.09/22.48 , T ), ! Y = vabs( U, W, vsubst( Z, T, V0 ) ), alpha36( X, Y, Z, T ) }.
% 22.09/22.48 (61754) {G0,W12,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U ), X = vabs( Z, T
% 22.09/22.48 , U ) }.
% 22.09/22.48 (61755) {G0,W9,D2,L2,V5,M2} { ! alpha39( X, Y, Z, T, U ), ! Y = Z }.
% 22.09/22.48 (61756) {G0,W15,D3,L3,V5,M3} { ! X = vabs( Z, T, U ), Y = Z, alpha39( X, Y
% 22.09/22.48 , Z, T, U ) }.
% 22.09/22.48 (61757) {G0,W15,D2,L3,V4,M3} { ! alpha28( X, Y, Z, T ), alpha34( X, Y, Z,
% 22.09/22.48 T ), alpha37( X, Y, Z, T ) }.
% 22.09/22.48 (61758) {G0,W10,D2,L2,V4,M2} { ! alpha34( X, Y, Z, T ), alpha28( X, Y, Z,
% 22.09/22.48 T ) }.
% 22.09/22.48 (61759) {G0,W10,D2,L2,V4,M2} { ! alpha37( X, Y, Z, T ), alpha28( X, Y, Z,
% 22.09/22.48 T ) }.
% 22.09/22.48 (61760) {G0,W12,D3,L2,V7,M2} { ! alpha37( X, Y, Z, T ), X = skol9( X, U, W
% 22.09/22.48 , V0 ) }.
% 22.09/22.48 (61761) {G0,W14,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T ), alpha40( Y, Z, T,
% 22.09/22.48 skol9( X, Y, Z, T ) ) }.
% 22.09/22.48 (61762) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha40( Y, Z, T, U ), alpha37(
% 22.09/22.48 X, Y, Z, T ) }.
% 22.09/22.48 (61763) {G0,W12,D3,L2,V7,M2} { ! alpha40( X, Y, Z, T ), X = skol10( X, U,
% 22.09/22.48 W, V0 ) }.
% 22.09/22.48 (61764) {G0,W14,D3,L2,V4,M2} { ! alpha40( X, Y, Z, T ), alpha42( Y, Z, T,
% 22.09/22.48 skol10( X, Y, Z, T ) ) }.
% 22.09/22.48 (61765) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha42( Y, Z, T, U ), alpha40(
% 22.09/22.48 X, Y, Z, T ) }.
% 22.09/22.48 (61766) {G0,W24,D3,L2,V4,M2} { ! alpha42( X, Y, Z, T ), alpha48( X, Z, T,
% 22.09/22.48 skol11( X, Y, Z, T ), skol42( X, Y, Z, T ), skol61( X, Y, Z, T ) ) }.
% 22.09/22.48 (61767) {G0,W22,D6,L2,V4,M2} { ! alpha42( X, Y, Z, T ), skol76( X, Y, Z, T
% 22.09/22.48 ) = vgensym( vapp( vapp( T, skol61( X, Y, Z, T ) ), vvar( Z ) ) ) }.
% 22.09/22.48 (61768) {G0,W38,D7,L2,V4,M2} { ! alpha42( X, Y, Z, T ), Y = vsubst( Z, T,
% 22.09/22.48 vabs( skol76( X, Y, Z, T ), skol11( X, Y, Z, T ), vsubst( skol42( X, Y, Z
% 22.09/22.48 , T ), vvar( skol76( X, Y, Z, T ) ), skol61( X, Y, Z, T ) ) ) ) }.
% 22.09/22.48 (61769) {G0,W34,D6,L4,V8,M4} { ! alpha48( X, Z, T, U, W, V0 ), ! V1 =
% 22.09/22.48 vgensym( vapp( vapp( T, V0 ), vvar( Z ) ) ), ! Y = vsubst( Z, T, vabs( V1
% 22.09/22.48 , U, vsubst( W, vvar( V1 ), V0 ) ) ), alpha42( X, Y, Z, T ) }.
% 22.09/22.48 (61770) {G0,W13,D2,L2,V6,M2} { ! alpha48( X, Y, Z, T, U, W ), alpha45( X,
% 22.09/22.48 Y, T, U, W ) }.
% 22.09/22.48 (61771) {G0,W10,D2,L2,V6,M2} { ! alpha48( X, Y, Z, T, U, W ), visFreeVar(
% 22.09/22.48 U, Z ) }.
% 22.09/22.48 (61772) {G0,W16,D2,L3,V6,M3} { ! alpha45( X, Y, T, U, W ), ! visFreeVar( U
% 22.09/22.48 , Z ), alpha48( X, Y, Z, T, U, W ) }.
% 22.09/22.48 (61773) {G0,W12,D3,L2,V5,M2} { ! alpha45( X, Y, Z, T, U ), X = vabs( T, Z
% 22.09/22.48 , U ) }.
% 22.09/22.48 (61774) {G0,W9,D2,L2,V5,M2} { ! alpha45( X, Y, Z, T, U ), ! Y = T }.
% 22.09/22.48 (61775) {G0,W15,D3,L3,V5,M3} { ! X = vabs( T, Z, U ), Y = T, alpha45( X, Y
% 22.09/22.48 , Z, T, U ) }.
% 22.09/22.48 (61776) {G0,W18,D3,L3,V6,M3} { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z,
% 22.09/22.48 T ), alpha23( Z, T, skol12( U, W, Z, T ) ) }.
% 22.09/22.48 (61777) {G0,W18,D3,L3,V4,M3} { ! alpha34( X, Y, Z, T ), alpha38( X, Y, Z,
% 22.09/22.48 T ), alpha18( X, Y, skol12( X, Y, Z, T ) ) }.
% 22.09/22.48 (61778) {G0,W10,D2,L2,V4,M2} { ! alpha38( X, Y, Z, T ), alpha34( X, Y, Z,
% 22.09/22.48 T ) }.
% 22.09/22.48 (61779) {G0,W13,D2,L3,V5,M3} { ! alpha18( X, Y, U ), ! alpha23( Z, T, U )
% 22.09/22.48 , alpha34( X, Y, Z, T ) }.
% 22.09/22.48 (61780) {G0,W15,D2,L3,V4,M3} { ! alpha38( X, Y, Z, T ), alpha41( X, Y, Z,
% 22.09/22.48 T ), alpha43( X, Y, Z, T ) }.
% 22.09/22.48 (61781) {G0,W10,D2,L2,V4,M2} { ! alpha41( X, Y, Z, T ), alpha38( X, Y, Z,
% 22.09/22.48 T ) }.
% 22.09/22.48 (61782) {G0,W10,D2,L2,V4,M2} { ! alpha43( X, Y, Z, T ), alpha38( X, Y, Z,
% 22.09/22.48 T ) }.
% 22.09/22.48 (61783) {G0,W12,D3,L2,V7,M2} { ! alpha43( X, Y, Z, T ), X = skol13( X, U,
% 22.09/22.48 W, V0 ) }.
% 22.09/22.48 (61784) {G0,W14,D3,L2,V4,M2} { ! alpha43( X, Y, Z, T ), alpha46( Y, Z, T,
% 22.09/22.48 skol13( X, Y, Z, T ) ) }.
% 22.09/22.48 (61785) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha46( Y, Z, T, U ), alpha43(
% 22.09/22.48 X, Y, Z, T ) }.
% 22.09/22.48 (61786) {G0,W12,D3,L2,V7,M2} { ! alpha46( X, Y, Z, T ), X = skol14( X, U,
% 22.09/22.48 W, V0 ) }.
% 22.09/22.48 (61787) {G0,W18,D4,L2,V4,M2} { ! alpha46( X, Y, Z, T ), Y = vapp( skol43(
% 22.09/22.48 X, Y, Z, T ), skol62( X, Y, Z, T ) ) }.
% 22.09/22.48 (61788) {G0,W32,D5,L2,V4,M2} { ! alpha46( X, Y, Z, T ), Z = vapp( vsubst(
% 22.09/22.48 T, skol14( X, Y, Z, T ), skol43( X, Y, Z, T ) ), vsubst( T, skol14( X, Y
% 22.09/22.48 , Z, T ), skol62( X, Y, Z, T ) ) ) }.
% 22.09/22.48 (61789) {G0,W24,D4,L4,V7,M4} { ! X = U, ! Y = vapp( W, V0 ), ! Z = vapp(
% 22.09/22.48 vsubst( T, U, W ), vsubst( T, U, V0 ) ), alpha46( X, Y, Z, T ) }.
% 22.09/22.48 (61790) {G0,W18,D3,L3,V6,M3} { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z,
% 22.09/22.48 T ), alpha12( Z, T, skol15( U, W, Z, T ) ) }.
% 22.09/22.48 (61791) {G0,W18,D3,L3,V4,M3} { ! alpha41( X, Y, Z, T ), alpha44( X, Y, Z,
% 22.09/22.48 T ), alpha6( X, Y, skol15( X, Y, Z, T ) ) }.
% 22.09/22.48 (61792) {G0,W10,D2,L2,V4,M2} { ! alpha44( X, Y, Z, T ), alpha41( X, Y, Z,
% 22.09/22.48 T ) }.
% 22.09/22.48 (61793) {G0,W13,D2,L3,V5,M3} { ! alpha6( X, Y, U ), ! alpha12( Z, T, U ),
% 22.09/22.48 alpha41( X, Y, Z, T ) }.
% 22.09/22.48 (61794) {G0,W16,D3,L3,V4,M3} { ! alpha44( X, Y, Z, T ), ! vsubst( X, Y, Z
% 22.09/22.48 ) = T, alpha47( X, Y, Z, T ) }.
% 22.09/22.48 (61795) {G0,W11,D3,L2,V4,M2} { vsubst( X, Y, Z ) = T, alpha44( X, Y, Z, T
% 22.09/22.48 ) }.
% 22.09/22.48 (61796) {G0,W10,D2,L2,V4,M2} { ! alpha47( X, Y, Z, T ), alpha44( X, Y, Z,
% 22.09/22.48 T ) }.
% 22.09/22.48 (61797) {G0,W12,D3,L2,V7,M2} { ! alpha47( X, Y, Z, T ), X = skol16( X, U,
% 22.09/22.48 W, V0 ) }.
% 22.09/22.48 (61798) {G0,W14,D3,L2,V4,M2} { ! alpha47( X, Y, Z, T ), alpha49( Y, Z, T,
% 22.09/22.48 skol16( X, Y, Z, T ) ) }.
% 22.09/22.48 (61799) {G0,W13,D2,L3,V5,M3} { ! X = U, ! alpha49( Y, Z, T, U ), alpha47(
% 22.09/22.48 X, Y, Z, T ) }.
% 22.09/22.48 (61800) {G0,W12,D3,L2,V7,M2} { ! alpha49( X, Y, Z, T ), X = skol17( X, U,
% 22.09/22.48 W, V0 ) }.
% 22.09/22.48 (61801) {G0,W13,D3,L2,V6,M2} { ! alpha49( X, Y, Z, T ), alpha2( Y, T,
% 22.09/22.48 skol44( U, Y, W, T ) ) }.
% 22.09/22.48 (61802) {G0,W12,D3,L2,V4,M2} { ! alpha49( X, Y, Z, T ), Z = skol17( X, Y,
% 22.09/22.48 Z, T ) }.
% 22.09/22.48 (61803) {G0,W15,D2,L4,V6,M4} { ! X = U, ! alpha2( Y, T, W ), ! Z = U,
% 22.09/22.48 alpha49( X, Y, Z, T ) }.
% 22.09/22.48 (61804) {G0,W19,D4,L2,V3,M2} { ! alpha23( X, Y, Z ), X = vabs( skol18( X,
% 22.09/22.48 Y, Z ), skol45( X, Y, Z ), skol63( X, Y, Z ) ) }.
% 22.09/22.48 (61805) {G0,W10,D3,L2,V3,M2} { ! alpha23( X, Y, Z ), Z = skol18( X, Y, Z )
% 22.09/22.48 }.
% 22.09/22.48 (61806) {G0,W19,D4,L2,V3,M2} { ! alpha23( X, Y, Z ), Y = vabs( skol18( X,
% 22.09/22.48 Y, Z ), skol45( X, Y, Z ), skol63( X, Y, Z ) ) }.
% 22.09/22.48 (61807) {G0,W19,D3,L4,V6,M4} { ! X = vabs( T, U, W ), ! Z = T, ! Y = vabs
% 22.09/22.48 ( T, U, W ), alpha23( X, Y, Z ) }.
% 22.09/22.48 (61808) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), X = Z }.
% 22.09/22.48 (61809) {G0,W8,D3,L2,V3,M2} { ! alpha18( X, Y, Z ), Y = skol19( Y ) }.
% 22.09/22.48 (61810) {G0,W10,D2,L3,V4,M3} { ! X = Z, ! Y = T, alpha18( X, Y, Z ) }.
% 22.09/22.48 (61811) {G0,W10,D3,L2,V5,M2} { ! alpha12( X, Y, Z ), ! Z = skol20( T, U, Z
% 22.09/22.48 ) }.
% 22.09/22.48 (61812) {G0,W11,D4,L2,V4,M2} { ! alpha12( X, Y, Z ), Y = vvar( skol20( T,
% 22.09/22.48 Y, Z ) ) }.
% 22.09/22.48 (61813) {G0,W11,D4,L2,V3,M2} { ! alpha12( X, Y, Z ), X = vvar( skol20( X,
% 22.09/22.48 Y, Z ) ) }.
% 22.09/22.48 (61814) {G0,W15,D3,L4,V4,M4} { ! X = vvar( T ), Z = T, ! Y = vvar( T ),
% 22.09/22.48 alpha12( X, Y, Z ) }.
% 22.09/22.48 (61815) {G0,W7,D2,L2,V3,M2} { ! alpha6( X, Y, Z ), X = Z }.
% 22.09/22.48 (61816) {G0,W8,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), Y = skol21( Y ) }.
% 22.09/22.48 (61817) {G0,W10,D2,L3,V4,M3} { ! X = Z, ! Y = T, alpha6( X, Y, Z ) }.
% 22.09/22.48 (61818) {G0,W8,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), X = vvar( Z ) }.
% 22.09/22.48 (61819) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), Y = Z }.
% 22.09/22.48 (61820) {G0,W11,D3,L3,V3,M3} { ! X = vvar( Z ), ! Y = Z, alpha2( X, Y, Z )
% 22.09/22.48 }.
% 22.09/22.48 (61821) {G0,W4,D2,L2,V0,M2} { ! &&, vnoExp = vnoExp }.
% 22.09/22.48 (61822) {G0,W8,D3,L2,V2,M2} { ! vsomeExp( X ) = vsomeExp( Y ), X = Y }.
% 22.09/22.48 (61823) {G0,W8,D3,L2,V2,M2} { ! X = Y, vsomeExp( X ) = vsomeExp( Y ) }.
% 22.09/22.48 (61824) {G0,W4,D3,L1,V1,M1} { ! vnoExp = vsomeExp( X ) }.
% 22.09/22.48 (61825) {G0,W5,D2,L2,V1,M2} { ! X = vnoExp, ! visSomeExp( X ) }.
% 22.09/22.48 (61826) {G0,W6,D3,L2,V2,M2} { ! X = vsomeExp( Y ), visSomeExp( X ) }.
% 22.09/22.48 (61827) {G0,W11,D3,L3,V3,M3} { ! X = vsomeExp( Y ), ! Z = vgetSomeExp( X )
% 22.09/22.48 , Z = Y }.
% 22.09/22.48 (61828) {G0,W11,D3,L3,V3,M3} { ! X = vvar( Y ), ! Z = vreduce( X ), Z =
% 22.09/22.48 vnoExp }.
% 22.09/22.48 (61829) {G0,W13,D3,L3,V5,M3} { ! X = vabs( Y, Z, T ), ! U = vreduce( X ),
% 22.09/22.48 U = vnoExp }.
% 22.09/22.48 (61830) {G0,W28,D5,L5,V7,M5} { ! Y = vapp( vabs( Z, T, U ), X ), ! W =
% 22.09/22.48 vreduce( X ), ! visSomeExp( W ), ! V0 = vreduce( Y ), V0 = vsomeExp( vapp
% 22.09/22.48 ( vabs( Z, T, U ), vgetSomeExp( W ) ) ) }.
% 22.09/22.48 (61831) {G0,W27,D4,L6,V7,M6} { ! X = vapp( vabs( Y, U, T ), Z ), ! W =
% 22.09/22.48 vreduce( Z ), visSomeExp( W ), ! visValue( Z ), ! V0 = vreduce( X ), V0 =
% 22.09/22.48 vsomeExp( vsubst( Y, Z, T ) ) }.
% 22.09/22.48 (61832) {G0,W23,D4,L6,V7,M6} { ! Y = vapp( vabs( Z, T, U ), X ), ! W =
% 22.09/22.48 vreduce( X ), visSomeExp( W ), visValue( X ), ! V0 = vreduce( Y ), V0 =
% 22.09/22.48 vnoExp }.
% 22.09/22.48 (61833) {G0,W31,D5,L6,V5,M6} { ! Y = vapp( X, Z ), X = vabs( skol22( X ),
% 22.09/22.48 skol46( X ), skol64( X ) ), ! T = vreduce( X ), ! visSomeExp( T ), ! U =
% 22.09/22.48 vreduce( Y ), U = vsomeExp( vapp( vgetSomeExp( T ), Z ) ) }.
% 22.09/22.48 (61834) {G0,W27,D4,L6,V5,M6} { ! Y = vapp( X, Z ), X = vabs( skol23( X ),
% 22.09/22.48 skol47( X ), skol65( X ) ), ! T = vreduce( X ), visSomeExp( T ), ! U =
% 22.09/22.48 vreduce( Y ), U = vnoExp }.
% 22.09/22.48 (61835) {G0,W8,D3,L2,V3,M2} { alpha3( X, Y ), alpha13( Y, skol24( Z, Y ) )
% 22.09/22.48 }.
% 22.09/22.48 (61836) {G0,W8,D3,L2,V2,M2} { alpha3( X, Y ), alpha7( X, skol24( X, Y ) )
% 22.09/22.48 }.
% 22.09/22.48 (61837) {G0,W7,D3,L2,V4,M2} { ! alpha13( X, Y ), ! visSomeExp( skol25( Z,
% 22.09/22.48 T ) ) }.
% 22.09/22.48 (61838) {G0,W9,D3,L2,V3,M2} { ! alpha13( X, Y ), skol25( Z, Y ) = vreduce
% 22.09/22.48 ( Y ) }.
% 22.09/22.48 (61839) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), X = vnoExp }.
% 22.09/22.48 (61840) {G0,W12,D3,L4,V3,M4} { ! Z = vreduce( Y ), visSomeExp( Z ), ! X =
% 22.09/22.48 vnoExp, alpha13( X, Y ) }.
% 22.09/22.48 (61841) {G0,W10,D4,L2,V2,M2} { ! alpha7( X, Y ), X = vapp( Y, skol26( X, Y
% 22.09/22.48 ) ) }.
% 22.09/22.48 (61842) {G0,W9,D3,L2,V5,M2} { ! alpha7( X, Y ), ! Y = vabs( Z, T, U ) }.
% 22.09/22.48 (61843) {G0,W17,D4,L3,V3,M3} { ! X = vapp( Y, Z ), Y = vabs( skol48( Y ),
% 22.09/22.48 skol66( Y ), skol77( Y ) ), alpha7( X, Y ) }.
% 22.09/22.48 (61844) {G0,W9,D2,L3,V2,M3} { ! alpha3( X, Y ), alpha8( X, Y ), alpha14( X
% 22.09/22.48 , Y ) }.
% 22.09/22.48 (61845) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ), alpha3( X, Y ) }.
% 22.09/22.48 (61846) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), alpha3( X, Y ) }.
% 22.09/22.48 (61847) {G0,W11,D3,L2,V2,M2} { ! alpha14( X, Y ), alpha24( X, skol27( X, Y
% 22.09/22.48 ), skol49( X, Y ) ) }.
% 22.09/22.48 (61848) {G0,W10,D3,L2,V2,M2} { ! alpha14( X, Y ), alpha19( skol27( X, Y )
% 22.09/22.48 , skol67( X, Y ) ) }.
% 22.09/22.48 (61849) {G0,W14,D6,L2,V2,M2} { ! alpha14( X, Y ), Y = vsomeExp( vapp(
% 22.09/22.48 vgetSomeExp( skol67( X, Y ) ), skol49( X, Y ) ) ) }.
% 22.09/22.48 (61850) {G0,W17,D5,L4,V5,M4} { ! alpha24( X, Z, T ), ! alpha19( Z, U ), !
% 22.09/22.48 Y = vsomeExp( vapp( vgetSomeExp( U ), T ) ), alpha14( X, Y ) }.
% 22.09/22.48 (61851) {G0,W9,D3,L2,V3,M2} { ! alpha24( X, Y, Z ), X = vapp( Y, Z ) }.
% 22.09/22.48 (61852) {G0,W10,D3,L2,V6,M2} { ! alpha24( X, Y, Z ), ! Y = vabs( T, U, W )
% 22.09/22.48 }.
% 22.09/22.48 (61853) {G0,W18,D4,L3,V3,M3} { ! X = vapp( Y, Z ), Y = vabs( skol28( Y ),
% 22.09/22.48 skol50( Y ), skol68( Y ) ), alpha24( X, Y, Z ) }.
% 22.09/22.48 (61854) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), Y = vreduce( X ) }.
% 22.09/22.48 (61855) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), visSomeExp( Y ) }.
% 22.09/22.48 (61856) {G0,W9,D3,L3,V2,M3} { ! Y = vreduce( X ), ! visSomeExp( Y ),
% 22.09/22.48 alpha19( X, Y ) }.
% 22.09/22.48 (61857) {G0,W9,D2,L3,V2,M3} { ! alpha8( X, Y ), alpha15( X, Y ), alpha20(
% 22.09/22.48 X, Y ) }.
% 22.09/22.48 (61858) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), alpha8( X, Y ) }.
% 22.09/22.48 (61859) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), alpha8( X, Y ) }.
% 22.09/22.48 (61860) {G0,W8,D3,L2,V3,M2} { ! alpha20( X, Y ), alpha25( Y, skol29( Z, Y
% 22.09/22.48 ) ) }.
% 22.09/22.48 (61861) {G0,W19,D5,L2,V2,M2} { ! alpha20( X, Y ), X = vapp( vabs( skol51(
% 22.09/22.48 X, Y ), skol69( X, Y ), skol78( X, Y ) ), skol29( X, Y ) ) }.
% 22.09/22.48 (61862) {G0,W14,D4,L3,V6,M3} { ! X = vapp( vabs( T, U, W ), Z ), ! alpha25
% 22.09/22.48 ( Y, Z ), alpha20( X, Y ) }.
% 22.09/22.48 (61863) {G0,W8,D3,L2,V3,M2} { ! alpha25( X, Y ), alpha29( Y, skol30( Z, Y
% 22.09/22.48 ) ) }.
% 22.09/22.48 (61864) {G0,W6,D2,L2,V2,M2} { ! alpha25( X, Y ), X = vnoExp }.
% 22.09/22.48 (61865) {G0,W9,D2,L3,V3,M3} { ! alpha29( Y, Z ), ! X = vnoExp, alpha25( X
% 22.09/22.48 , Y ) }.
% 22.09/22.48 (61866) {G0,W7,D3,L2,V2,M2} { ! alpha29( X, Y ), Y = vreduce( X ) }.
% 22.09/22.48 (61867) {G0,W5,D2,L2,V2,M2} { ! alpha29( X, Y ), ! visSomeExp( Y ) }.
% 22.09/22.48 (61868) {G0,W5,D2,L2,V2,M2} { ! alpha29( X, Y ), ! visValue( X ) }.
% 22.09/22.48 (61869) {G0,W11,D3,L4,V2,M4} { ! Y = vreduce( X ), visSomeExp( Y ),
% 22.09/22.48 visValue( X ), alpha29( X, Y ) }.
% 22.09/22.48 (61870) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), alpha21( X, Y ), alpha26
% 22.09/22.48 ( X, Y ) }.
% 22.09/22.48 (61871) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), alpha15( X, Y ) }.
% 22.09/22.48 (61872) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), alpha15( X, Y ) }.
% 22.09/22.48 (61873) {G0,W19,D5,L2,V2,M2} { ! alpha26( X, Y ), X = vapp( vabs( skol31(
% 22.09/22.48 X, Y ), skol79( X, Y ), skol70( X, Y ) ), skol52( X, Y ) ) }.
% 22.09/22.48 (61874) {G0,W10,D3,L2,V2,M2} { ! alpha26( X, Y ), alpha30( skol52( X, Y )
% 22.09/22.48 , skol83( X, Y ) ) }.
% 22.09/22.48 (61875) {G0,W16,D5,L2,V2,M2} { ! alpha26( X, Y ), Y = vsomeExp( vsubst(
% 22.09/22.48 skol31( X, Y ), skol52( X, Y ), skol70( X, Y ) ) ) }.
% 22.09/22.48 (61876) {G0,W21,D4,L4,V7,M4} { ! X = vapp( vabs( Z, W, U ), T ), ! alpha30
% 22.09/22.48 ( T, V0 ), ! Y = vsomeExp( vsubst( Z, T, U ) ), alpha26( X, Y ) }.
% 22.09/22.48 (61877) {G0,W7,D3,L2,V2,M2} { ! alpha30( X, Y ), Y = vreduce( X ) }.
% 22.09/22.48 (61878) {G0,W5,D2,L2,V2,M2} { ! alpha30( X, Y ), ! visSomeExp( Y ) }.
% 22.09/22.48 (61879) {G0,W5,D2,L2,V2,M2} { ! alpha30( X, Y ), visValue( X ) }.
% 22.09/22.48 (61880) {G0,W11,D3,L4,V2,M4} { ! Y = vreduce( X ), visSomeExp( Y ), !
% 22.09/22.48 visValue( X ), alpha30( X, Y ) }.
% 22.09/22.48 (61881) {G0,W9,D2,L3,V2,M3} { ! alpha21( X, Y ), alpha27( X, Y ), alpha31
% 22.09/22.48 ( X, Y ) }.
% 22.09/22.48 (61882) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), alpha21( X, Y ) }.
% 22.09/22.48 (61883) {G0,W6,D2,L2,V2,M2} { ! alpha31( X, Y ), alpha21( X, Y ) }.
% 22.09/22.48 (61884) {G0,W19,D5,L2,V2,M2} { ! alpha31( X, Y ), X = vapp( vabs( skol53(
% 22.09/22.48 X, Y ), skol71( X, Y ), skol80( X, Y ) ), skol32( X, Y ) ) }.
% 22.09/22.48 (61885) {G0,W10,D3,L2,V2,M2} { ! alpha31( X, Y ), alpha35( skol32( X, Y )
% 22.09/22.48 , skol84( X, Y ) ) }.
% 22.09/22.48 (61886) {G0,W21,D6,L2,V2,M2} { ! alpha31( X, Y ), Y = vsomeExp( vapp( vabs
% 22.09/22.48 ( skol53( X, Y ), skol71( X, Y ), skol80( X, Y ) ), vgetSomeExp( skol84(
% 22.09/22.48 X, Y ) ) ) ) }.
% 22.09/22.48 (61887) {G0,W24,D5,L4,V7,M4} { ! X = vapp( vabs( T, U, W ), Z ), ! alpha35
% 22.09/22.48 ( Z, V0 ), ! Y = vsomeExp( vapp( vabs( T, U, W ), vgetSomeExp( V0 ) ) ),
% 22.09/22.48 alpha31( X, Y ) }.
% 22.09/22.48 (61888) {G0,W7,D3,L2,V2,M2} { ! alpha35( X, Y ), Y = vreduce( X ) }.
% 22.09/22.48 (61889) {G0,W5,D2,L2,V2,M2} { ! alpha35( X, Y ), visSomeExp( Y ) }.
% 22.09/22.48 (61890) {G0,W9,D3,L3,V2,M3} { ! Y = vreduce( X ), ! visSomeExp( Y ),
% 22.09/22.48 alpha35( X, Y ) }.
% 22.09/22.48 (61891) {G0,W15,D4,L3,V2,M3} { ! alpha27( X, Y ), alpha32( X, Y ), X =
% 22.09/22.48 vabs( skol33( X ), skol54( X ), skol72( X ) ) }.
% 22.09/22.48 (61892) {G0,W9,D2,L3,V2,M3} { ! alpha27( X, Y ), alpha32( X, Y ), Y =
% 22.09/22.48 vnoExp }.
% 22.09/22.48 (61893) {G0,W6,D2,L2,V2,M2} { ! alpha32( X, Y ), alpha27( X, Y ) }.
% 22.09/22.48 (61894) {G0,W12,D3,L3,V5,M3} { ! X = vabs( Z, T, U ), ! Y = vnoExp,
% 22.09/22.48 alpha27( X, Y ) }.
% 22.09/22.48 (61895) {G0,W12,D4,L3,V2,M3} { ! alpha32( X, Y ), ! vreduce( X ) = Y, X =
% 22.09/22.48 vvar( skol34( X ) ) }.
% 22.09/22.48 (61896) {G0,W10,D3,L3,V2,M3} { ! alpha32( X, Y ), ! vreduce( X ) = Y, Y =
% 22.09/22.48 vnoExp }.
% 22.09/22.48 (61897) {G0,W7,D3,L2,V2,M2} { vreduce( X ) = Y, alpha32( X, Y ) }.
% 22.09/22.48 (61898) {G0,W10,D3,L3,V3,M3} { ! X = vvar( Z ), ! Y = vnoExp, alpha32( X,
% 22.09/22.48 Y ) }.
% 22.09/22.48 (61899) {G0,W10,D3,L2,V4,M2} { ! varrow( X, Y ) = varrow( Z, T ), X = Z
% 22.09/22.48 }.
% 22.09/22.48 (61900) {G0,W10,D3,L2,V4,M2} { ! varrow( X, Y ) = varrow( Z, T ), Y = T
% 22.09/22.48 }.
% 22.09/22.48 (61901) {G0,W13,D3,L3,V4,M3} { ! X = Z, ! Y = T, varrow( X, Y ) = varrow(
% 22.09/22.48 Z, T ) }.
% 22.09/22.48 (61902) {G0,W11,D3,L2,V3,M2} { ! vlookup( Y, X ) = vsomeType( Z ), vtcheck
% 22.09/22.48 ( X, vvar( Y ), Z ) }.
% 22.09/22.48 (61903) {G0,W16,D3,L2,V5,M2} { ! vtcheck( vbind( Y, T, X ), Z, U ),
% 22.09/22.48 vtcheck( X, vabs( Y, T, Z ), varrow( T, U ) ) }.
% 22.09/22.48 (61904) {G0,W16,D3,L3,V5,M3} { ! vtcheck( X, Y, varrow( U, T ) ), !
% 22.09/22.48 vtcheck( X, Z, U ), vtcheck( X, vapp( Y, Z ), T ) }.
% 22.09/22.48 (61905) {G0,W15,D4,L2,V3,M2} { alpha4( X, Y, Z ), X = vapp( skol35( X, Y,
% 22.09/22.48 Z ), skol55( X, Y, Z ) ) }.
% 22.09/22.48 (61906) {G0,W16,D4,L2,V3,M2} { alpha4( X, Y, Z ), vtcheck( Z, skol35( X, Y
% 22.09/22.48 , Z ), varrow( skol73( X, Y, Z ), Y ) ) }.
% 22.09/22.48 (61907) {G0,W14,D3,L2,V3,M2} { alpha4( X, Y, Z ), vtcheck( Z, skol55( X, Y
% 22.09/22.48 , Z ), skol73( X, Y, Z ) ) }.
% 22.09/22.48 (61908) {G0,W12,D2,L3,V3,M3} { ! alpha4( X, Y, Z ), alpha9( X, Y, Z ),
% 22.09/22.48 alpha16( X, Y, Z ) }.
% 22.09/22.48 (61909) {G0,W8,D2,L2,V3,M2} { ! alpha9( X, Y, Z ), alpha4( X, Y, Z ) }.
% 22.33/22.72 (61910) {G0,W8,D2,L2,V3,M2} { ! alpha16( X, Y, Z ), alpha4( X, Y, Z ) }.
% 22.33/22.72 (61911) {G0,W19,D4,L2,V3,M2} { ! alpha16( X, Y, Z ), X = vabs( skol36( X,
% 22.33/22.72 Y, Z ), skol74( X, Y, Z ), skol56( X, Y, Z ) ) }.
% 22.33/22.72 (61912) {G0,W15,D4,L2,V3,M2} { ! alpha16( X, Y, Z ), Y = varrow( skol74( X
% 22.33/22.72 , Y, Z ), skol81( X, Y, Z ) ) }.
% 22.33/22.72 (61913) {G0,W23,D4,L2,V3,M2} { ! alpha16( X, Y, Z ), vtcheck( vbind(
% 22.33/22.72 skol36( X, Y, Z ), skol74( X, Y, Z ), Z ), skol56( X, Y, Z ), skol81( X,
% 22.33/22.72 Y, Z ) ) }.
% 22.33/22.72 (61914) {G0,W22,D3,L4,V7,M4} { ! X = vabs( T, W, U ), ! Y = varrow( W, V0
% 22.33/22.72 ), ! vtcheck( vbind( T, W, Z ), U, V0 ), alpha16( X, Y, Z ) }.
% 22.33/22.72 (61915) {G0,W15,D4,L3,V5,M3} { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ),
% 22.33/22.72 X = vvar( skol37( X, T, U ) ) }.
% 22.33/22.72 (61916) {G0,W17,D4,L3,V3,M3} { ! alpha9( X, Y, Z ), ! vtcheck( Z, X, Y ),
% 22.33/22.72 vlookup( skol37( X, Y, Z ), Z ) = vsomeType( Y ) }.
% 22.33/22.72 (61917) {G0,W8,D2,L2,V3,M2} { vtcheck( Z, X, Y ), alpha9( X, Y, Z ) }.
% 22.33/22.72 (61918) {G0,W14,D3,L3,V4,M3} { ! X = vvar( T ), ! vlookup( T, Z ) =
% 22.33/22.72 vsomeType( Y ), alpha9( X, Y, Z ) }.
% 22.33/22.72 (61919) {G0,W3,D2,L1,V1,M1} { valphaEquivalent( X, X ) }.
% 22.33/22.72 (61920) {G0,W6,D2,L2,V2,M2} { ! valphaEquivalent( Y, X ), valphaEquivalent
% 22.33/22.72 ( X, Y ) }.
% 22.33/22.72 (61921) {G0,W9,D2,L3,V3,M3} { ! valphaEquivalent( X, Z ), !
% 22.33/22.72 valphaEquivalent( Z, Y ), valphaEquivalent( X, Y ) }.
% 22.33/22.72 (61922) {G0,W16,D5,L2,V4,M2} { visFreeVar( X, Y ), valphaEquivalent( vabs
% 22.33/22.72 ( T, Z, Y ), vabs( X, Z, vsubst( T, vvar( X ), Y ) ) ) }.
% 22.33/22.72 (61923) {G0,W11,D2,L3,V4,M3} { ! vtcheck( X, T, Z ), ! valphaEquivalent( T
% 22.33/22.72 , Y ), vtcheck( X, Y, Z ) }.
% 22.33/22.72 (61924) {G0,W9,D2,L3,V3,M3} { visFreeVar( X, Z ), ! valphaEquivalent( Z, Y
% 22.33/22.72 ), ! visFreeVar( X, Y ) }.
% 22.33/22.72 (61925) {G0,W16,D3,L3,V5,M3} { ! vlookup( X, Y ) = vnoType, ! vtcheck( Y,
% 22.33/22.72 Z, T ), vtcheck( vbind( X, U, Y ), Z, T ) }.
% 22.33/22.72 (61926) {G0,W14,D3,L3,V5,M3} { visFreeVar( T, Y ), ! vtcheck( vbind( T, U
% 22.33/22.72 , X ), Y, Z ), vtcheck( X, Y, Z ) }.
% 22.33/22.72 (61927) {G0,W14,D3,L3,V5,M3} { visFreeVar( X, Z ), ! vtcheck( Y, Z, T ),
% 22.33/22.72 vtcheck( vbind( X, U, Y ), Z, T ) }.
% 22.33/22.72 (61928) {G0,W30,D4,L5,V8,M5} { Y = T, visFreeVar( T, Z ), ! vtcheck( X, Z
% 22.33/22.72 , V1 ), ! vtcheck( vbind( Y, V1, X ), vabs( T, U, W ), V0 ), vtcheck( X,
% 22.33/22.72 vsubst( Y, Z, vabs( T, U, W ) ), V0 ) }.
% 22.33/22.72 (61929) {G0,W12,D5,L2,V4,M2} { ! Y = vgensym( vapp( vapp( Z, T ), vvar( X
% 22.33/22.72 ) ) ), ! X = Y }.
% 22.33/22.72 (61930) {G0,W9,D5,L1,V0,M1} { skol38 = vgensym( vapp( vapp( skol75, skol57
% 22.33/22.72 ), vvar( skol82 ) ) ) }.
% 22.33/22.72 (61931) {G0,W3,D2,L1,V0,M1} { visFreeVar( skol38, skol57 ) }.
% 22.33/22.72
% 22.33/22.72
% 22.33/22.72 Total Proof:
% 22.33/22.72
% 22.33/22.72 subsumption: (20) {G0,W14,D3,L4,V5,M4} I { ! X = T, ! Y = vapp( Z, U ), !
% 22.33/22.72 visFreeVar( T, Z ), visFreeVar( X, Y ) }.
% 22.33/22.72 parent0: (61694) {G0,W14,D3,L4,V5,M4} { ! X = T, ! Y = vapp( Z, U ), !
% 22.33/22.72 visFreeVar( T, Z ), visFreeVar( X, Y ) }.
% 22.33/22.72 substitution0:
% 22.33/22.72 X := X
% 22.33/22.72 Y := Y
% 22.33/22.72 Z := Z
% 22.33/22.72 T := T
% 22.33/22.72 U := U
% 22.33/22.72 end
% 22.33/22.72 permutation0:
% 22.33/22.72 0 ==> 0
% 22.33/22.72 1 ==> 1
% 22.33/22.72 2 ==> 2
% 22.33/22.72 3 ==> 3
% 22.33/22.72 end
% 22.33/22.72
% 22.33/22.72 subsumption: (21) {G0,W14,D3,L4,V5,M4} I { ! X = T, ! Y = vapp( Z, U ), !
% 22.33/22.72 visFreeVar( T, U ), visFreeVar( X, Y ) }.
% 22.33/22.72 parent0: (61695) {G0,W14,D3,L4,V5,M4} { ! X = T, ! Y = vapp( Z, U ), !
% 22.33/22.72 visFreeVar( T, U ), visFreeVar( X, Y ) }.
% 22.33/22.72 substitution0:
% 22.33/22.72 X := X
% 22.33/22.72 Y := Y
% 22.33/22.72 Z := Z
% 22.33/22.72 T := T
% 22.33/22.72 U := U
% 22.33/22.72 end
% 22.33/22.72 permutation0:
% 22.33/22.72 0 ==> 0
% 22.33/22.72 1 ==> 1
% 22.33/22.72 2 ==> 2
% 22.33/22.72 3 ==> 3
% 22.33/22.72 end
% 22.33/22.72
% 22.33/22.72 subsumption: (62) {G0,W7,D3,L2,V2,M2} I { ! vgensym( Y ) = X, ! visFreeVar
% 22.33/22.72 ( X, Y ) }.
% 22.33/22.72 parent0: (61738) {G0,W7,D3,L2,V2,M2} { ! vgensym( Y ) = X, ! visFreeVar( X
% 22.33/22.72 , Y ) }.
% 22.33/22.72 substitution0:
% 22.33/22.72 X := X
% 22.33/22.72 Y := Y
% 22.33/22.72 end
% 22.33/22.72 permutation0:
% 22.33/22.72 0 ==> 0
% 22.33/22.72 1 ==> 1
% 22.33/22.72 end
% 22.33/22.72
% 22.33/22.72 *** allocated 15000 integers for justifications
% 22.33/22.72 *** allocated 22500 integers for justifications
% 22.33/22.72 *** allocated 33750 integers for justifications
% 22.33/22.72 *** allocated 50625 integers for justifications
% 22.33/22.72 *** allocated 4378860 integers for clauses
% 22.33/22.72 *** allocated 75937 integers for justifications
% 22.33/22.72 *** allocated 113905 integers for justifications
% 22.33/22.72 eqswap: (69271) {G0,W9,D5,L1,V0,M1} { vgensym( vapp( vapp( skol75, skol57
% 22.33/22.72 ), vvar( skol82 ) ) ) = skol38 }.
% 22.33/22.72 parent0[0]: (61930) {G0,W9,D5,L1,V0,M1} { skol38 = vgensym( vapp( vapp(
% 22.33/22.72 skol75, skol57 ), vvar( skol82 ) ) ) }.
% 22.33/22.72 substitution0:
% 22.33/22.72 end
% 22.33/22.72
% 22.33/22.72 subsumption: (253) {G0,W9,D5,L1,V0,M1} I { vgensym( vapp( vapp( skol75,
% 22.58/22.95 skol57 ), vvar( skol82 ) ) ) ==> skol38 }.
% 22.58/22.95 parent0: (69271) {G0,W9,D5,L1,V0,M1} { vgensym( vapp( vapp( skol75, skol57
% 22.58/22.95 ), vvar( skol82 ) ) ) = skol38 }.
% 22.58/22.95 substitution0:
% 22.58/22.95 end
% 22.58/22.95 permutation0:
% 22.58/22.95 0 ==> 0
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 *** allocated 2919240 integers for termspace/termends
% 22.58/22.95 subsumption: (254) {G0,W3,D2,L1,V0,M1} I { visFreeVar( skol38, skol57 ) }.
% 22.58/22.95 parent0: (61931) {G0,W3,D2,L1,V0,M1} { visFreeVar( skol38, skol57 ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 end
% 22.58/22.95 permutation0:
% 22.58/22.95 0 ==> 0
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 eqswap: (75686) {G0,W7,D3,L2,V2,M2} { ! Y = vgensym( X ), ! visFreeVar( Y
% 22.58/22.95 , X ) }.
% 22.58/22.95 parent0[0]: (62) {G0,W7,D3,L2,V2,M2} I { ! vgensym( Y ) = X, ! visFreeVar(
% 22.58/22.95 X, Y ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := Y
% 22.58/22.95 Y := X
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 eqrefl: (75687) {G0,W4,D3,L1,V1,M1} { ! visFreeVar( vgensym( X ), X ) }.
% 22.58/22.95 parent0[0]: (75686) {G0,W7,D3,L2,V2,M2} { ! Y = vgensym( X ), ! visFreeVar
% 22.58/22.95 ( Y, X ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := X
% 22.58/22.95 Y := vgensym( X )
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 subsumption: (396) {G1,W4,D3,L1,V1,M1} Q(62) { ! visFreeVar( vgensym( X ),
% 22.58/22.95 X ) }.
% 22.58/22.95 parent0: (75687) {G0,W4,D3,L1,V1,M1} { ! visFreeVar( vgensym( X ), X ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := X
% 22.58/22.95 end
% 22.58/22.95 permutation0:
% 22.58/22.95 0 ==> 0
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 eqswap: (75688) {G0,W14,D3,L4,V5,M4} { ! Y = X, ! Z = vapp( T, U ), !
% 22.58/22.95 visFreeVar( Y, T ), visFreeVar( X, Z ) }.
% 22.58/22.95 parent0[0]: (20) {G0,W14,D3,L4,V5,M4} I { ! X = T, ! Y = vapp( Z, U ), !
% 22.58/22.95 visFreeVar( T, Z ), visFreeVar( X, Y ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := X
% 22.58/22.95 Y := Z
% 22.58/22.95 Z := T
% 22.58/22.95 T := Y
% 22.58/22.95 U := U
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 resolution: (75691) {G1,W12,D3,L3,V4,M3} { ! Y = vgensym( X ), ! X = vapp
% 22.58/22.95 ( Z, T ), ! visFreeVar( Y, Z ) }.
% 22.58/22.95 parent0[0]: (396) {G1,W4,D3,L1,V1,M1} Q(62) { ! visFreeVar( vgensym( X ), X
% 22.58/22.95 ) }.
% 22.58/22.95 parent1[3]: (75688) {G0,W14,D3,L4,V5,M4} { ! Y = X, ! Z = vapp( T, U ), !
% 22.58/22.95 visFreeVar( Y, T ), visFreeVar( X, Z ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := X
% 22.58/22.95 end
% 22.58/22.95 substitution1:
% 22.58/22.95 X := vgensym( X )
% 22.58/22.95 Y := Y
% 22.58/22.95 Z := X
% 22.58/22.95 T := Z
% 22.58/22.95 U := T
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 eqswap: (75692) {G1,W12,D3,L3,V4,M3} { ! vgensym( Y ) = X, ! Y = vapp( Z,
% 22.58/22.95 T ), ! visFreeVar( X, Z ) }.
% 22.58/22.95 parent0[0]: (75691) {G1,W12,D3,L3,V4,M3} { ! Y = vgensym( X ), ! X = vapp
% 22.58/22.95 ( Z, T ), ! visFreeVar( Y, Z ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := Y
% 22.58/22.95 Y := X
% 22.58/22.95 Z := Z
% 22.58/22.95 T := T
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 subsumption: (2250) {G2,W12,D3,L3,V4,M3} R(20,396) { ! vgensym( X ) = Y, !
% 22.58/22.95 X = vapp( Z, T ), ! visFreeVar( Y, Z ) }.
% 22.58/22.95 parent0: (75692) {G1,W12,D3,L3,V4,M3} { ! vgensym( Y ) = X, ! Y = vapp( Z
% 22.58/22.95 , T ), ! visFreeVar( X, Z ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := Y
% 22.58/22.95 Y := X
% 22.58/22.95 Z := Z
% 22.58/22.95 T := T
% 22.58/22.95 end
% 22.58/22.95 permutation0:
% 22.58/22.95 0 ==> 0
% 22.58/22.95 1 ==> 1
% 22.58/22.95 2 ==> 2
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 eqswap: (75695) {G2,W12,D3,L3,V4,M3} { ! Y = vgensym( X ), ! X = vapp( Z,
% 22.58/22.95 T ), ! visFreeVar( Y, Z ) }.
% 22.58/22.95 parent0[0]: (2250) {G2,W12,D3,L3,V4,M3} R(20,396) { ! vgensym( X ) = Y, ! X
% 22.58/22.95 = vapp( Z, T ), ! visFreeVar( Y, Z ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := X
% 22.58/22.95 Y := Y
% 22.58/22.95 Z := Z
% 22.58/22.95 T := T
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 eqrefl: (75699) {G0,W9,D4,L2,V3,M2} { ! X = vgensym( vapp( Y, Z ) ), !
% 22.58/22.95 visFreeVar( X, Y ) }.
% 22.58/22.95 parent0[1]: (75695) {G2,W12,D3,L3,V4,M3} { ! Y = vgensym( X ), ! X = vapp
% 22.58/22.95 ( Z, T ), ! visFreeVar( Y, Z ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := vapp( Y, Z )
% 22.58/22.95 Y := X
% 22.58/22.95 Z := Y
% 22.58/22.95 T := Z
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 eqswap: (75700) {G0,W9,D4,L2,V3,M2} { ! vgensym( vapp( Y, Z ) ) = X, !
% 22.58/22.95 visFreeVar( X, Y ) }.
% 22.58/22.95 parent0[0]: (75699) {G0,W9,D4,L2,V3,M2} { ! X = vgensym( vapp( Y, Z ) ), !
% 22.58/22.95 visFreeVar( X, Y ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := X
% 22.58/22.95 Y := Y
% 22.58/22.95 Z := Z
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 subsumption: (2281) {G3,W9,D4,L2,V3,M2} Q(2250) { ! vgensym( vapp( X, Y ) )
% 22.58/22.95 = Z, ! visFreeVar( Z, X ) }.
% 22.58/22.95 parent0: (75700) {G0,W9,D4,L2,V3,M2} { ! vgensym( vapp( Y, Z ) ) = X, !
% 22.58/22.95 visFreeVar( X, Y ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := Z
% 22.58/22.95 Y := X
% 22.58/22.95 Z := Y
% 22.58/22.95 end
% 22.58/22.95 permutation0:
% 22.58/22.95 0 ==> 0
% 22.58/22.95 1 ==> 1
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 eqswap: (75702) {G3,W9,D4,L2,V3,M2} { ! Z = vgensym( vapp( X, Y ) ), !
% 22.58/22.95 visFreeVar( Z, X ) }.
% 22.58/22.95 parent0[0]: (2281) {G3,W9,D4,L2,V3,M2} Q(2250) { ! vgensym( vapp( X, Y ) )
% 22.58/22.95 = Z, ! visFreeVar( Z, X ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := X
% 22.58/22.95 Y := Y
% 22.58/22.95 Z := Z
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 eqrefl: (75703) {G0,W6,D4,L1,V2,M1} { ! visFreeVar( vgensym( vapp( X, Y )
% 22.58/22.95 ), X ) }.
% 22.58/22.95 parent0[0]: (75702) {G3,W9,D4,L2,V3,M2} { ! Z = vgensym( vapp( X, Y ) ), !
% 22.58/22.95 visFreeVar( Z, X ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := X
% 22.58/22.95 Y := Y
% 22.58/22.95 Z := vgensym( vapp( X, Y ) )
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 subsumption: (2282) {G4,W6,D4,L1,V2,M1} Q(2281) { ! visFreeVar( vgensym(
% 22.58/22.95 vapp( X, Y ) ), X ) }.
% 22.58/22.95 parent0: (75703) {G0,W6,D4,L1,V2,M1} { ! visFreeVar( vgensym( vapp( X, Y )
% 22.58/22.95 ), X ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := X
% 22.58/22.95 Y := Y
% 22.58/22.95 end
% 22.58/22.95 permutation0:
% 22.58/22.95 0 ==> 0
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 eqswap: (75704) {G0,W14,D3,L4,V5,M4} { ! Y = X, ! Z = vapp( T, U ), !
% 22.58/22.95 visFreeVar( Y, U ), visFreeVar( X, Z ) }.
% 22.58/22.95 parent0[0]: (21) {G0,W14,D3,L4,V5,M4} I { ! X = T, ! Y = vapp( Z, U ), !
% 22.58/22.95 visFreeVar( T, U ), visFreeVar( X, Y ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := X
% 22.58/22.95 Y := Z
% 22.58/22.95 Z := T
% 22.58/22.95 T := Y
% 22.58/22.95 U := U
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 resolution: (75707) {G1,W11,D3,L3,V3,M3} { ! skol38 = X, ! Y = vapp( Z,
% 22.58/22.95 skol57 ), visFreeVar( X, Y ) }.
% 22.58/22.95 parent0[2]: (75704) {G0,W14,D3,L4,V5,M4} { ! Y = X, ! Z = vapp( T, U ), !
% 22.58/22.95 visFreeVar( Y, U ), visFreeVar( X, Z ) }.
% 22.58/22.95 parent1[0]: (254) {G0,W3,D2,L1,V0,M1} I { visFreeVar( skol38, skol57 ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := X
% 22.58/22.95 Y := skol38
% 22.58/22.95 Z := Y
% 22.58/22.95 T := Z
% 22.58/22.95 U := skol57
% 22.58/22.95 end
% 22.58/22.95 substitution1:
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 eqswap: (75708) {G1,W11,D3,L3,V3,M3} { ! X = skol38, ! Y = vapp( Z, skol57
% 22.58/22.95 ), visFreeVar( X, Y ) }.
% 22.58/22.95 parent0[0]: (75707) {G1,W11,D3,L3,V3,M3} { ! skol38 = X, ! Y = vapp( Z,
% 22.58/22.95 skol57 ), visFreeVar( X, Y ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := X
% 22.58/22.95 Y := Y
% 22.58/22.95 Z := Z
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 subsumption: (2399) {G1,W11,D3,L3,V3,M3} R(21,254) { ! X = skol38, ! Y =
% 22.58/22.95 vapp( Z, skol57 ), visFreeVar( X, Y ) }.
% 22.58/22.95 parent0: (75708) {G1,W11,D3,L3,V3,M3} { ! X = skol38, ! Y = vapp( Z,
% 22.58/22.95 skol57 ), visFreeVar( X, Y ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := X
% 22.58/22.95 Y := Y
% 22.58/22.95 Z := Z
% 22.58/22.95 end
% 22.58/22.95 permutation0:
% 22.58/22.95 0 ==> 0
% 22.58/22.95 1 ==> 1
% 22.58/22.95 2 ==> 2
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 eqswap: (75713) {G1,W11,D3,L3,V3,M3} { ! skol38 = X, ! Y = vapp( Z, skol57
% 22.58/22.95 ), visFreeVar( X, Y ) }.
% 22.58/22.95 parent0[0]: (2399) {G1,W11,D3,L3,V3,M3} R(21,254) { ! X = skol38, ! Y =
% 22.58/22.95 vapp( Z, skol57 ), visFreeVar( X, Y ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := X
% 22.58/22.95 Y := Y
% 22.58/22.95 Z := Z
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 eqrefl: (75717) {G0,W8,D3,L2,V2,M2} { ! skol38 = X, visFreeVar( X, vapp( Y
% 22.58/22.95 , skol57 ) ) }.
% 22.58/22.95 parent0[1]: (75713) {G1,W11,D3,L3,V3,M3} { ! skol38 = X, ! Y = vapp( Z,
% 22.58/22.95 skol57 ), visFreeVar( X, Y ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := X
% 22.58/22.95 Y := vapp( Y, skol57 )
% 22.58/22.95 Z := Y
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 eqswap: (75718) {G0,W8,D3,L2,V2,M2} { ! X = skol38, visFreeVar( X, vapp( Y
% 22.58/22.95 , skol57 ) ) }.
% 22.58/22.95 parent0[0]: (75717) {G0,W8,D3,L2,V2,M2} { ! skol38 = X, visFreeVar( X,
% 22.58/22.95 vapp( Y, skol57 ) ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := X
% 22.58/22.95 Y := Y
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 subsumption: (2417) {G2,W8,D3,L2,V2,M2} Q(2399) { ! X = skol38, visFreeVar
% 22.58/22.95 ( X, vapp( Y, skol57 ) ) }.
% 22.58/22.95 parent0: (75718) {G0,W8,D3,L2,V2,M2} { ! X = skol38, visFreeVar( X, vapp(
% 22.58/22.95 Y, skol57 ) ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := X
% 22.58/22.95 Y := Y
% 22.58/22.95 end
% 22.58/22.95 permutation0:
% 22.58/22.95 0 ==> 0
% 22.58/22.95 1 ==> 1
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 eqswap: (75720) {G2,W8,D3,L2,V2,M2} { ! skol38 = X, visFreeVar( X, vapp( Y
% 22.58/22.95 , skol57 ) ) }.
% 22.58/22.95 parent0[0]: (2417) {G2,W8,D3,L2,V2,M2} Q(2399) { ! X = skol38, visFreeVar(
% 22.58/22.95 X, vapp( Y, skol57 ) ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := X
% 22.58/22.95 Y := Y
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 eqrefl: (75721) {G0,W5,D3,L1,V1,M1} { visFreeVar( skol38, vapp( X, skol57
% 22.58/22.95 ) ) }.
% 22.58/22.95 parent0[0]: (75720) {G2,W8,D3,L2,V2,M2} { ! skol38 = X, visFreeVar( X,
% 22.58/22.95 vapp( Y, skol57 ) ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := skol38
% 22.58/22.95 Y := X
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 subsumption: (2418) {G3,W5,D3,L1,V1,M1} Q(2417) { visFreeVar( skol38, vapp
% 22.58/22.95 ( X, skol57 ) ) }.
% 22.58/22.95 parent0: (75721) {G0,W5,D3,L1,V1,M1} { visFreeVar( skol38, vapp( X, skol57
% 22.58/22.95 ) ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 X := X
% 22.58/22.95 end
% 22.58/22.95 permutation0:
% 22.58/22.95 0 ==> 0
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 paramod: (75723) {G1,W5,D3,L1,V0,M1} { ! visFreeVar( skol38, vapp( skol75
% 22.58/22.95 , skol57 ) ) }.
% 22.58/22.95 parent0[0]: (253) {G0,W9,D5,L1,V0,M1} I { vgensym( vapp( vapp( skol75,
% 22.58/22.95 skol57 ), vvar( skol82 ) ) ) ==> skol38 }.
% 22.58/22.95 parent1[0; 2]: (2282) {G4,W6,D4,L1,V2,M1} Q(2281) { ! visFreeVar( vgensym(
% 22.58/22.95 vapp( X, Y ) ), X ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 end
% 22.58/22.95 substitution1:
% 22.58/22.95 X := vapp( skol75, skol57 )
% 22.58/22.95 Y := vvar( skol82 )
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 resolution: (75724) {G2,W0,D0,L0,V0,M0} { }.
% 22.58/22.95 parent0[0]: (75723) {G1,W5,D3,L1,V0,M1} { ! visFreeVar( skol38, vapp(
% 22.58/22.95 skol75, skol57 ) ) }.
% 22.58/22.95 parent1[0]: (2418) {G3,W5,D3,L1,V1,M1} Q(2417) { visFreeVar( skol38, vapp(
% 22.58/22.95 X, skol57 ) ) }.
% 22.58/22.95 substitution0:
% 22.58/22.95 end
% 22.58/22.95 substitution1:
% 22.58/22.95 X := skol75
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 subsumption: (61672) {G5,W0,D0,L0,V0,M0} P(253,2282);r(2418) { }.
% 22.58/22.95 parent0: (75724) {G2,W0,D0,L0,V0,M0} { }.
% 22.58/22.95 substitution0:
% 22.58/22.95 end
% 22.58/22.95 permutation0:
% 22.58/22.95 end
% 22.58/22.95
% 22.58/22.95 Proof check complete!
% 22.58/22.95
% 22.58/22.95 Memory use:
% 22.58/22.95
% 22.58/22.95 space for terms: 1563248
% 22.58/22.95 space for clauses: 2781238
% 22.58/22.95
% 22.58/22.95
% 22.58/22.95 clauses generated: 315058
% 22.58/22.95 clauses kept: 61673
% 22.58/22.95 clauses selected: 1078
% 22.58/22.95 clauses deleted: 2394
% 22.58/22.95 clauses inuse deleted: 50
% 22.58/22.95
% 22.58/22.95 subsentry: 6563031
% 22.58/22.95 literals s-matched: 2787783
% 22.58/22.95 literals matched: 2656551
% 22.58/22.95 full subsumption: 2394747
% 22.58/22.95
% 22.58/22.95 checksum: 2116424818
% 22.58/22.95
% 22.58/22.95
% 22.58/22.95 Bliksem ended
%------------------------------------------------------------------------------