TSTP Solution File: LAT388+4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LAT388+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 : Sun Jul 17 03:51:54 EDT 2022
% Result : Theorem 0.71s 1.12s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT388+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Wed Jun 29 11:27:36 EDT 2022
% 0.12/0.34 % 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
% 0.71/1.11 Clauses:
% 0.71/1.11
% 0.71/1.11 { && }.
% 0.71/1.11 { && }.
% 0.71/1.11 { ! aSet0( X ), ! aElementOf0( Y, X ), aElement0( Y ) }.
% 0.71/1.11 { ! aSet0( X ), ! isEmpty0( X ), ! aElementOf0( Y, X ) }.
% 0.71/1.11 { ! aSet0( X ), aElementOf0( skol1( X ), X ), isEmpty0( X ) }.
% 0.71/1.11 { ! aSet0( X ), ! aSubsetOf0( Y, X ), aSet0( Y ) }.
% 0.71/1.11 { ! aSet0( X ), ! aSubsetOf0( Y, X ), alpha1( X, Y ) }.
% 0.71/1.11 { ! aSet0( X ), ! aSet0( Y ), ! alpha1( X, Y ), aSubsetOf0( Y, X ) }.
% 0.71/1.11 { ! alpha1( X, Y ), ! aElementOf0( Z, Y ), aElementOf0( Z, X ) }.
% 0.71/1.11 { aElementOf0( skol2( Z, Y ), Y ), alpha1( X, Y ) }.
% 0.71/1.11 { ! aElementOf0( skol2( X, Y ), X ), alpha1( X, Y ) }.
% 0.71/1.11 { && }.
% 0.71/1.11 { ! aElement0( X ), sdtlseqdt0( X, X ) }.
% 0.71/1.11 { ! aElement0( X ), ! aElement0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y
% 0.71/1.11 , X ), X = Y }.
% 0.71/1.11 { ! aElement0( X ), ! aElement0( Y ), ! aElement0( Z ), ! sdtlseqdt0( X, Y
% 0.71/1.11 ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.71/1.11 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aLowerBoundOfIn0( Z, Y, X ),
% 0.71/1.11 aElementOf0( Z, X ) }.
% 0.71/1.11 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aLowerBoundOfIn0( Z, Y, X ), alpha2
% 0.71/1.11 ( Y, Z ) }.
% 0.71/1.11 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aElementOf0( Z, X ), ! alpha2( Y, Z
% 0.71/1.11 ), aLowerBoundOfIn0( Z, Y, X ) }.
% 0.71/1.11 { ! alpha2( X, Y ), ! aElementOf0( Z, X ), sdtlseqdt0( Y, Z ) }.
% 0.71/1.11 { ! sdtlseqdt0( Y, skol3( Z, Y ) ), alpha2( X, Y ) }.
% 0.71/1.11 { aElementOf0( skol3( X, Y ), X ), alpha2( X, Y ) }.
% 0.71/1.11 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aUpperBoundOfIn0( Z, Y, X ),
% 0.71/1.11 aElementOf0( Z, X ) }.
% 0.71/1.11 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aUpperBoundOfIn0( Z, Y, X ), alpha3
% 0.71/1.11 ( Y, Z ) }.
% 0.71/1.11 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aElementOf0( Z, X ), ! alpha3( Y, Z
% 0.71/1.11 ), aUpperBoundOfIn0( Z, Y, X ) }.
% 0.71/1.11 { ! alpha3( X, Y ), ! aElementOf0( Z, X ), sdtlseqdt0( Z, Y ) }.
% 0.71/1.11 { ! sdtlseqdt0( skol4( Z, Y ), Y ), alpha3( X, Y ) }.
% 0.71/1.11 { aElementOf0( skol4( X, Y ), X ), alpha3( X, Y ) }.
% 0.71/1.11 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aInfimumOfIn0( Z, Y, X ),
% 0.71/1.11 aElementOf0( Z, X ) }.
% 0.71/1.11 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aInfimumOfIn0( Z, Y, X ), alpha4( X
% 0.71/1.11 , Y, Z ) }.
% 0.71/1.11 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aElementOf0( Z, X ), ! alpha4( X, Y
% 0.71/1.11 , Z ), aInfimumOfIn0( Z, Y, X ) }.
% 0.71/1.11 { ! alpha4( X, Y, Z ), aLowerBoundOfIn0( Z, Y, X ) }.
% 0.71/1.11 { ! alpha4( X, Y, Z ), alpha8( X, Y, Z ) }.
% 0.71/1.11 { ! aLowerBoundOfIn0( Z, Y, X ), ! alpha8( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.71/1.11 { ! alpha8( X, Y, Z ), ! aLowerBoundOfIn0( T, Y, X ), sdtlseqdt0( T, Z ) }
% 0.71/1.11 .
% 0.71/1.11 { ! sdtlseqdt0( skol5( T, U, Z ), Z ), alpha8( X, Y, Z ) }.
% 0.71/1.11 { aLowerBoundOfIn0( skol5( X, Y, Z ), Y, X ), alpha8( X, Y, Z ) }.
% 0.71/1.11 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aSupremumOfIn0( Z, Y, X ),
% 0.71/1.11 aElementOf0( Z, X ) }.
% 0.71/1.11 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aSupremumOfIn0( Z, Y, X ), alpha5(
% 0.71/1.11 X, Y, Z ) }.
% 0.71/1.11 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aElementOf0( Z, X ), ! alpha5( X, Y
% 0.71/1.11 , Z ), aSupremumOfIn0( Z, Y, X ) }.
% 0.71/1.11 { ! alpha5( X, Y, Z ), aUpperBoundOfIn0( Z, Y, X ) }.
% 0.71/1.11 { ! alpha5( X, Y, Z ), alpha9( X, Y, Z ) }.
% 0.71/1.11 { ! aUpperBoundOfIn0( Z, Y, X ), ! alpha9( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.71/1.11 { ! alpha9( X, Y, Z ), ! aUpperBoundOfIn0( T, Y, X ), sdtlseqdt0( Z, T ) }
% 0.71/1.11 .
% 0.71/1.11 { ! sdtlseqdt0( Z, skol6( T, U, Z ) ), alpha9( X, Y, Z ) }.
% 0.71/1.11 { aUpperBoundOfIn0( skol6( X, Y, Z ), Y, X ), alpha9( X, Y, Z ) }.
% 0.71/1.11 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aSupremumOfIn0( Z, Y, X ), !
% 0.71/1.11 aSupremumOfIn0( T, Y, X ), Z = T }.
% 0.71/1.11 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aInfimumOfIn0( Z, Y, X ), !
% 0.71/1.11 aInfimumOfIn0( T, Y, X ), Z = T }.
% 0.71/1.11 { ! aCompleteLattice0( X ), aSet0( X ) }.
% 0.71/1.11 { ! aCompleteLattice0( X ), alpha6( X ) }.
% 0.71/1.11 { ! aSet0( X ), ! alpha6( X ), aCompleteLattice0( X ) }.
% 0.71/1.11 { ! alpha6( X ), ! aSubsetOf0( Y, X ), alpha10( X, Y ) }.
% 0.71/1.11 { aSubsetOf0( skol7( X ), X ), alpha6( X ) }.
% 0.71/1.11 { ! alpha10( X, skol7( X ) ), alpha6( X ) }.
% 0.71/1.11 { ! alpha10( X, Y ), aInfimumOfIn0( skol8( X, Y ), Y, X ) }.
% 0.71/1.11 { ! alpha10( X, Y ), aSupremumOfIn0( skol26( X, Y ), Y, X ) }.
% 0.71/1.11 { ! aInfimumOfIn0( Z, Y, X ), ! aSupremumOfIn0( T, Y, X ), alpha10( X, Y )
% 0.71/1.11 }.
% 0.71/1.11 { && }.
% 0.71/1.11 { ! aFunction0( X ), aSet0( szDzozmdt0( X ) ) }.
% 0.71/1.11 { ! aFunction0( X ), aSet0( szRzazndt0( X ) ) }.
% 0.71/1.11 { ! aFunction0( X ), ! aSet0( Y ), ! isOn0( X, Y ), szDzozmdt0( X ) =
% 0.71/1.11 szRzazndt0( X ) }.
% 0.71/1.11 { ! aFunction0( X ), ! aSet0( Y ), ! isOn0( X, Y ), szRzazndt0( X ) = Y }.
% 0.71/1.11 { ! aFunction0( X ), ! aSet0( Y ), ! szDzozmdt0( X ) = szRzazndt0( X ), !
% 0.71/1.11 szRzazndt0( X ) = Y, isOn0( X, Y ) }.
% 0.71/1.11 { ! aFunction0( X ), ! aElementOf0( Y, szDzozmdt0( X ) ), aElementOf0(
% 0.71/1.11 sdtlpdtrp0( X, Y ), szRzazndt0( X ) ) }.
% 0.71/1.11 { ! aFunction0( X ), ! aFixedPointOf0( Y, X ), aElementOf0( Y, szDzozmdt0(
% 0.71/1.11 X ) ) }.
% 0.71/1.11 { ! aFunction0( X ), ! aFixedPointOf0( Y, X ), sdtlpdtrp0( X, Y ) = Y }.
% 0.71/1.11 { ! aFunction0( X ), ! aElementOf0( Y, szDzozmdt0( X ) ), ! sdtlpdtrp0( X,
% 0.71/1.11 Y ) = Y, aFixedPointOf0( Y, X ) }.
% 0.71/1.11 { ! aFunction0( X ), ! isMonotone0( X ), ! alpha7( X, Y, Z ), alpha11( X, Y
% 0.71/1.11 , Z ) }.
% 0.71/1.11 { ! aFunction0( X ), alpha7( X, skol9( X ), skol27( X ) ), isMonotone0( X )
% 0.71/1.11 }.
% 0.71/1.11 { ! aFunction0( X ), ! alpha11( X, skol9( X ), skol27( X ) ), isMonotone0(
% 0.71/1.11 X ) }.
% 0.71/1.11 { ! alpha11( X, Y, Z ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtlpdtrp0( X, Y
% 0.71/1.11 ), sdtlpdtrp0( X, Z ) ) }.
% 0.71/1.11 { sdtlseqdt0( Y, Z ), alpha11( X, Y, Z ) }.
% 0.71/1.11 { ! sdtlseqdt0( sdtlpdtrp0( X, Y ), sdtlpdtrp0( X, Z ) ), alpha11( X, Y, Z
% 0.71/1.11 ) }.
% 0.71/1.11 { ! alpha7( X, Y, Z ), aElementOf0( Y, szDzozmdt0( X ) ) }.
% 0.71/1.11 { ! alpha7( X, Y, Z ), aElementOf0( Z, szDzozmdt0( X ) ) }.
% 0.71/1.11 { ! aElementOf0( Y, szDzozmdt0( X ) ), ! aElementOf0( Z, szDzozmdt0( X ) )
% 0.71/1.11 , alpha7( X, Y, Z ) }.
% 0.71/1.11 { aSet0( xU ) }.
% 0.71/1.11 { alpha12( X ), alpha29( X, skol10( X ) ) }.
% 0.71/1.11 { alpha12( X ), alpha21( X ) }.
% 0.71/1.11 { aCompleteLattice0( xU ) }.
% 0.71/1.11 { aFunction0( xf ) }.
% 0.71/1.11 { ! aElementOf0( X, szDzozmdt0( xf ) ), ! aElementOf0( Y, szDzozmdt0( xf )
% 0.71/1.11 ), ! sdtlseqdt0( X, Y ), sdtlseqdt0( sdtlpdtrp0( xf, X ), sdtlpdtrp0( xf
% 0.71/1.11 , Y ) ) }.
% 0.71/1.11 { isMonotone0( xf ) }.
% 0.71/1.11 { szDzozmdt0( xf ) = szRzazndt0( xf ) }.
% 0.71/1.11 { szRzazndt0( xf ) = xU }.
% 0.71/1.11 { isOn0( xf, xU ) }.
% 0.71/1.11 { ! alpha29( X, Y ), alpha24( X, Y ) }.
% 0.71/1.11 { ! alpha29( X, Y ), alpha26( X, Y ) }.
% 0.71/1.11 { ! alpha29( X, Y ), aInfimumOfIn0( Y, X, xU ) }.
% 0.71/1.11 { ! alpha24( X, Y ), ! alpha26( X, Y ), ! aInfimumOfIn0( Y, X, xU ),
% 0.71/1.11 alpha29( X, Y ) }.
% 0.71/1.11 { ! alpha26( X, Y ), alpha30( X, Z ), sdtlseqdt0( Z, Y ) }.
% 0.71/1.11 { ! sdtlseqdt0( skol11( Z, Y ), Y ), alpha26( X, Y ) }.
% 0.71/1.11 { ! alpha30( X, skol11( X, Y ) ), alpha26( X, Y ) }.
% 0.71/1.11 { ! alpha30( X, Y ), alpha32( X, Y ) }.
% 0.71/1.11 { ! alpha30( X, Y ), ! aLowerBoundOfIn0( Y, X, xU ) }.
% 0.71/1.11 { ! alpha32( X, Y ), aLowerBoundOfIn0( Y, X, xU ), alpha30( X, Y ) }.
% 0.71/1.11 { ! alpha32( X, Y ), ! aElementOf0( Y, xU ), ! sdtlseqdt0( Y, skol12( Z, Y
% 0.71/1.11 ) ) }.
% 0.71/1.11 { ! alpha32( X, Y ), ! aElementOf0( Y, xU ), aElementOf0( skol12( X, Y ), X
% 0.71/1.11 ) }.
% 0.71/1.11 { aElementOf0( Y, xU ), alpha32( X, Y ) }.
% 0.71/1.11 { ! aElementOf0( Z, X ), sdtlseqdt0( Y, Z ), alpha32( X, Y ) }.
% 0.71/1.11 { ! alpha24( X, Y ), alpha27( X, Y ) }.
% 0.71/1.11 { ! alpha24( X, Y ), aLowerBoundOfIn0( Y, X, xU ) }.
% 0.71/1.11 { ! alpha27( X, Y ), ! aLowerBoundOfIn0( Y, X, xU ), alpha24( X, Y ) }.
% 0.71/1.11 { ! alpha27( X, Y ), alpha16( Y ) }.
% 0.71/1.11 { ! alpha27( X, Y ), ! aElementOf0( Z, X ), sdtlseqdt0( Y, Z ) }.
% 0.71/1.11 { ! alpha16( Y ), ! sdtlseqdt0( Y, skol13( Z, Y ) ), alpha27( X, Y ) }.
% 0.71/1.11 { ! alpha16( Y ), aElementOf0( skol13( X, Y ), X ), alpha27( X, Y ) }.
% 0.71/1.11 { ! alpha21( X ), alpha28( X, skol14( X ) ) }.
% 0.71/1.11 { ! alpha21( X ), aSupremumOfIn0( skol14( X ), X, xU ) }.
% 0.71/1.11 { ! alpha28( X, Y ), ! aSupremumOfIn0( Y, X, xU ), alpha21( X ) }.
% 0.71/1.11 { ! alpha28( X, Y ), alpha31( X, Y ) }.
% 0.71/1.11 { ! alpha28( X, Y ), alpha33( X, Y ) }.
% 0.71/1.11 { ! alpha31( X, Y ), ! alpha33( X, Y ), alpha28( X, Y ) }.
% 0.71/1.11 { ! alpha33( X, Y ), alpha35( X, Z ), sdtlseqdt0( Y, Z ) }.
% 0.71/1.11 { ! sdtlseqdt0( Y, skol15( Z, Y ) ), alpha33( X, Y ) }.
% 0.71/1.11 { ! alpha35( X, skol15( X, Y ) ), alpha33( X, Y ) }.
% 0.71/1.11 { ! alpha35( X, Y ), alpha36( X, Y ) }.
% 0.71/1.11 { ! alpha35( X, Y ), ! aUpperBoundOfIn0( Y, X, xU ) }.
% 0.71/1.11 { ! alpha36( X, Y ), aUpperBoundOfIn0( Y, X, xU ), alpha35( X, Y ) }.
% 0.71/1.11 { ! alpha36( X, Y ), ! aElementOf0( Y, xU ), ! sdtlseqdt0( skol16( Z, Y ),
% 0.71/1.11 Y ) }.
% 0.71/1.11 { ! alpha36( X, Y ), ! aElementOf0( Y, xU ), aElementOf0( skol16( X, Y ), X
% 0.71/1.11 ) }.
% 0.71/1.11 { aElementOf0( Y, xU ), alpha36( X, Y ) }.
% 0.71/1.11 { ! aElementOf0( Z, X ), sdtlseqdt0( Z, Y ), alpha36( X, Y ) }.
% 0.71/1.11 { ! alpha31( X, Y ), alpha34( X, Y ) }.
% 0.71/1.11 { ! alpha31( X, Y ), aUpperBoundOfIn0( Y, X, xU ) }.
% 0.71/1.11 { ! alpha34( X, Y ), ! aUpperBoundOfIn0( Y, X, xU ), alpha31( X, Y ) }.
% 0.71/1.11 { ! alpha34( X, Y ), alpha25( Y ) }.
% 0.71/1.11 { ! alpha34( X, Y ), ! aElementOf0( Z, X ), sdtlseqdt0( Z, Y ) }.
% 0.71/1.11 { ! alpha25( Y ), ! sdtlseqdt0( skol17( Z, Y ), Y ), alpha34( X, Y ) }.
% 0.71/1.11 { ! alpha25( Y ), aElementOf0( skol17( X, Y ), X ), alpha34( X, Y ) }.
% 0.71/1.11 { ! alpha25( X ), aElementOf0( X, xU ) }.
% 0.71/1.11 { ! alpha25( X ), aElementOf0( X, xU ) }.
% 0.71/1.11 { ! aElementOf0( X, xU ), ! aElementOf0( X, xU ), alpha25( X ) }.
% 0.71/1.11 { ! alpha16( X ), aElementOf0( X, xU ) }.
% 0.71/1.11 { ! alpha16( X ), aElementOf0( X, xU ) }.
% 0.71/1.11 { ! aElementOf0( X, xU ), ! aElementOf0( X, xU ), alpha16( X ) }.
% 0.71/1.11 { ! alpha12( X ), alpha17( X ) }.
% 0.71/1.11 { ! alpha12( X ), ! aSubsetOf0( X, xU ) }.
% 0.71/1.11 { ! alpha17( X ), aSubsetOf0( X, xU ), alpha12( X ) }.
% 0.71/1.11 { ! alpha17( X ), ! aSet0( X ), ! aElementOf0( skol18( Y ), xU ) }.
% 0.71/1.11 { ! alpha17( X ), ! aSet0( X ), aElementOf0( skol18( X ), X ) }.
% 0.71/1.11 { aSet0( X ), alpha17( X ) }.
% 0.71/1.11 { ! aElementOf0( Y, X ), aElementOf0( Y, xU ), alpha17( X ) }.
% 0.71/1.11 { aSet0( xS ) }.
% 0.71/1.11 { ! aElementOf0( X, xS ), alpha13( X ) }.
% 0.71/1.11 { ! aElementOf0( X, szDzozmdt0( xf ) ), ! sdtlpdtrp0( xf, X ) = X,
% 0.71/1.11 aElementOf0( X, xS ) }.
% 0.71/1.11 { ! aFixedPointOf0( X, xf ), aElementOf0( X, xS ) }.
% 0.71/1.11 { xS = cS1142( xf ) }.
% 0.71/1.11 { ! alpha13( X ), aElementOf0( X, szDzozmdt0( xf ) ) }.
% 0.71/1.11 { ! alpha13( X ), sdtlpdtrp0( xf, X ) = X }.
% 0.71/1.11 { ! alpha13( X ), aFixedPointOf0( X, xf ) }.
% 0.71/1.11 { ! aElementOf0( X, szDzozmdt0( xf ) ), ! sdtlpdtrp0( xf, X ) = X, !
% 0.71/1.11 aFixedPointOf0( X, xf ), alpha13( X ) }.
% 0.71/1.11 { aSet0( xT ) }.
% 0.71/1.11 { ! aElementOf0( X, xT ), aElementOf0( X, xS ) }.
% 0.71/1.11 { aSubsetOf0( xT, xS ) }.
% 0.71/1.11 { aSet0( xP ) }.
% 0.71/1.11 { ! aElementOf0( X, xP ), alpha14( X ) }.
% 0.71/1.11 { ! aElementOf0( X, xU ), ! sdtlseqdt0( sdtlpdtrp0( xf, X ), X ),
% 0.71/1.11 aElementOf0( skol19( Y ), xT ), aElementOf0( X, xP ) }.
% 0.71/1.11 { ! aElementOf0( X, xU ), ! sdtlseqdt0( sdtlpdtrp0( xf, X ), X ), !
% 0.71/1.11 sdtlseqdt0( skol19( X ), X ), aElementOf0( X, xP ) }.
% 0.71/1.11 { ! aElementOf0( X, xU ), ! sdtlseqdt0( sdtlpdtrp0( xf, X ), X ), !
% 0.71/1.11 aUpperBoundOfIn0( X, xT, xU ), aElementOf0( X, xP ) }.
% 0.71/1.11 { xP = cS1241( xU, xf, xT ) }.
% 0.71/1.11 { ! alpha14( X ), alpha18( X ) }.
% 0.71/1.11 { ! alpha14( X ), aUpperBoundOfIn0( X, xT, xU ) }.
% 0.71/1.11 { ! alpha18( X ), ! aUpperBoundOfIn0( X, xT, xU ), alpha14( X ) }.
% 0.71/1.11 { ! alpha18( X ), alpha22( X ) }.
% 0.71/1.11 { ! alpha18( X ), ! aElementOf0( Y, xT ), sdtlseqdt0( Y, X ) }.
% 0.71/1.11 { ! alpha22( X ), aElementOf0( skol20( Y ), xT ), alpha18( X ) }.
% 0.71/1.11 { ! alpha22( X ), ! sdtlseqdt0( skol20( X ), X ), alpha18( X ) }.
% 0.71/1.11 { ! alpha22( X ), aElementOf0( X, xU ) }.
% 0.71/1.11 { ! alpha22( X ), sdtlseqdt0( sdtlpdtrp0( xf, X ), X ) }.
% 0.71/1.11 { ! aElementOf0( X, xU ), ! sdtlseqdt0( sdtlpdtrp0( xf, X ), X ), alpha22(
% 0.71/1.11 X ) }.
% 0.71/1.11 { aElementOf0( xp, xU ) }.
% 0.71/1.11 { aElementOf0( xp, xU ) }.
% 0.71/1.11 { ! aElementOf0( X, xP ), sdtlseqdt0( xp, X ) }.
% 0.71/1.11 { aLowerBoundOfIn0( xp, xP, xU ) }.
% 0.71/1.11 { ! aElementOf0( X, xU ), aElementOf0( skol21( Y ), xP ), sdtlseqdt0( X, xp
% 0.71/1.11 ) }.
% 0.71/1.11 { ! aElementOf0( X, xU ), ! sdtlseqdt0( X, skol21( X ) ), sdtlseqdt0( X, xp
% 0.71/1.11 ) }.
% 0.71/1.11 { ! aLowerBoundOfIn0( X, xP, xU ), sdtlseqdt0( X, xp ) }.
% 0.71/1.11 { aInfimumOfIn0( xp, xP, xU ) }.
% 0.71/1.11 { ! aElementOf0( X, xP ), sdtlseqdt0( sdtlpdtrp0( xf, xp ), X ) }.
% 0.71/1.11 { aLowerBoundOfIn0( sdtlpdtrp0( xf, xp ), xP, xU ) }.
% 0.71/1.11 { ! aElementOf0( X, xT ), sdtlseqdt0( X, sdtlpdtrp0( xf, xp ) ) }.
% 0.71/1.11 { aUpperBoundOfIn0( sdtlpdtrp0( xf, xp ), xT, xU ) }.
% 0.71/1.11 { aElementOf0( xp, szDzozmdt0( xf ) ) }.
% 0.71/1.11 { sdtlpdtrp0( xf, xp ) = xp }.
% 0.71/1.11 { aFixedPointOf0( xp, xf ) }.
% 0.71/1.11 { ! aElementOf0( X, xT ), sdtlseqdt0( X, xp ) }.
% 0.71/1.11 { aUpperBoundOfIn0( xp, xT, xS ) }.
% 0.71/1.11 { ! aElementOf0( X, xS ), aElementOf0( skol22( Y ), xT ), sdtlseqdt0( xp, X
% 0.71/1.11 ) }.
% 0.71/1.11 { ! aElementOf0( X, xS ), ! sdtlseqdt0( skol22( X ), X ), sdtlseqdt0( xp, X
% 0.71/1.11 ) }.
% 0.71/1.11 { ! aUpperBoundOfIn0( X, xT, xS ), sdtlseqdt0( xp, X ) }.
% 0.71/1.11 { aSupremumOfIn0( xp, xT, xS ) }.
% 0.71/1.11 { alpha15( X ), alpha19( skol23( Y ) ) }.
% 0.71/1.11 { alpha15( X ), aUpperBoundOfIn0( skol23( Y ), xT, xS ) }.
% 0.71/1.11 { alpha15( X ), ! sdtlseqdt0( X, skol23( X ) ) }.
% 0.71/1.11 { ! aSupremumOfIn0( X, xT, xS ) }.
% 0.71/1.11 { ! alpha19( X ), aElementOf0( X, xS ) }.
% 0.71/1.11 { ! alpha19( X ), ! aElementOf0( Y, xT ), sdtlseqdt0( Y, X ) }.
% 0.71/1.11 { ! aElementOf0( X, xS ), aElementOf0( skol24( Y ), xT ), alpha19( X ) }.
% 0.71/1.11 { ! aElementOf0( X, xS ), ! sdtlseqdt0( skol24( X ), X ), alpha19( X ) }.
% 0.71/1.12 { ! alpha15( X ), ! aElementOf0( X, xS ), alpha20( X ) }.
% 0.71/1.12 { aElementOf0( X, xS ), alpha15( X ) }.
% 0.71/1.12 { ! alpha20( X ), alpha15( X ) }.
% 0.71/1.12 { ! alpha20( X ), alpha23( X ) }.
% 0.71/1.12 { ! alpha20( X ), ! aUpperBoundOfIn0( X, xT, xS ) }.
% 0.71/1.12 { ! alpha23( X ), aUpperBoundOfIn0( X, xT, xS ), alpha20( X ) }.
% 0.71/1.12 { ! alpha23( X ), ! aElementOf0( X, xS ), aElementOf0( skol25( Y ), xT ) }
% 0.71/1.12 .
% 0.71/1.12 { ! alpha23( X ), ! aElementOf0( X, xS ), ! sdtlseqdt0( skol25( X ), X ) }
% 0.71/1.12 .
% 0.71/1.12 { aElementOf0( X, xS ), alpha23( X ) }.
% 0.71/1.12 { ! aElementOf0( Y, xT ), sdtlseqdt0( Y, X ), alpha23( X ) }.
% 0.71/1.12
% 0.71/1.12 percentage equality = 0.033138, percentage horn = 0.827586
% 0.71/1.12 This is a problem with some equality
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Options Used:
% 0.71/1.12
% 0.71/1.12 useres = 1
% 0.71/1.12 useparamod = 1
% 0.71/1.12 useeqrefl = 1
% 0.71/1.12 useeqfact = 1
% 0.71/1.12 usefactor = 1
% 0.71/1.12 usesimpsplitting = 0
% 0.71/1.12 usesimpdemod = 5
% 0.71/1.12 usesimpres = 3
% 0.71/1.12
% 0.71/1.12 resimpinuse = 1000
% 0.71/1.12 resimpclauses = 20000
% 0.71/1.12 substype = eqrewr
% 0.71/1.12 backwardsubs = 1
% 0.71/1.12 selectoldest = 5
% 0.71/1.12
% 0.71/1.12 litorderings [0] = split
% 0.71/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.12
% 0.71/1.12 termordering = kbo
% 0.71/1.12
% 0.71/1.12 litapriori = 0
% 0.71/1.12 termapriori = 1
% 0.71/1.12 litaposteriori = 0
% 0.71/1.12 termaposteriori = 0
% 0.71/1.12 demodaposteriori = 0
% 0.71/1.12 ordereqreflfact = 0
% 0.71/1.12
% 0.71/1.12 litselect = negord
% 0.71/1.12
% 0.71/1.12 maxweight = 15
% 0.71/1.12 maxdepth = 30000
% 0.71/1.12 maxlength = 115
% 0.71/1.12 maxnrvars = 195
% 0.71/1.12 excuselevel = 1
% 0.71/1.12 increasemaxweight = 1
% 0.71/1.12
% 0.71/1.12 maxselected = 10000000
% 0.71/1.12 maxnrclauses = 10000000
% 0.71/1.12
% 0.71/1.12 showgenerated = 0
% 0.71/1.12 showkept = 0
% 0.71/1.12 showselected = 0
% 0.71/1.12 showdeleted = 0
% 0.71/1.12 showresimp = 1
% 0.71/1.12 showstatus = 2000
% 0.71/1.12
% 0.71/1.12 prologoutput = 0
% 0.71/1.12 nrgoals = 5000000
% 0.71/1.12 totalproof = 1
% 0.71/1.12
% 0.71/1.12 Symbols occurring in the translation:
% 0.71/1.12
% 0.71/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.12 . [1, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.71/1.12 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.71/1.12 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.71/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.12 aSet0 [36, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.71/1.12 aElement0 [37, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.71/1.12 aElementOf0 [39, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.71/1.12 isEmpty0 [40, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.71/1.12 aSubsetOf0 [41, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.71/1.12 sdtlseqdt0 [43, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.71/1.12 aLowerBoundOfIn0 [44, 3] (w:1, o:116, a:1, s:1, b:0),
% 0.71/1.12 aUpperBoundOfIn0 [46, 3] (w:1, o:117, a:1, s:1, b:0),
% 0.71/1.12 aInfimumOfIn0 [47, 3] (w:1, o:118, a:1, s:1, b:0),
% 0.71/1.12 aSupremumOfIn0 [48, 3] (w:1, o:119, a:1, s:1, b:0),
% 0.71/1.12 aCompleteLattice0 [49, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.71/1.12 aFunction0 [50, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.71/1.12 szDzozmdt0 [51, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.71/1.12 szRzazndt0 [52, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.71/1.12 isOn0 [53, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.71/1.12 sdtlpdtrp0 [54, 2] (w:1, o:87, a:1, s:1, b:0),
% 0.71/1.12 aFixedPointOf0 [55, 2] (w:1, o:88, a:1, s:1, b:0),
% 0.71/1.12 isMonotone0 [56, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.71/1.12 xU [57, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.71/1.12 xf [59, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.71/1.12 xS [60, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.71/1.12 cS1142 [61, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.71/1.12 xT [62, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.71/1.12 xP [63, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.71/1.12 cS1241 [64, 3] (w:1, o:120, a:1, s:1, b:0),
% 0.71/1.12 xp [65, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.71/1.12 alpha1 [66, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.71/1.12 alpha2 [67, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.71/1.12 alpha3 [68, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.71/1.12 alpha4 [69, 3] (w:1, o:121, a:1, s:1, b:1),
% 0.71/1.12 alpha5 [70, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.71/1.12 alpha6 [71, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.71/1.12 alpha7 [72, 3] (w:1, o:123, a:1, s:1, b:1),
% 0.71/1.12 alpha8 [73, 3] (w:1, o:124, a:1, s:1, b:1),
% 0.71/1.12 alpha9 [74, 3] (w:1, o:125, a:1, s:1, b:1),
% 0.71/1.12 alpha10 [75, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.71/1.12 alpha11 [76, 3] (w:1, o:126, a:1, s:1, b:1),
% 0.71/1.12 alpha12 [77, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.71/1.12 alpha13 [78, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.71/1.12 alpha14 [79, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.71/1.12 alpha15 [80, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.71/1.12 alpha16 [81, 1] (w:1, o:36, a:1, s:1, b:1),
% 0.71/1.12 alpha17 [82, 1] (w:1, o:37, a:1, s:1, b:1),
% 0.71/1.12 alpha18 [83, 1] (w:1, o:38, a:1, s:1, b:1),
% 0.71/1.12 alpha19 [84, 1] (w:1, o:39, a:1, s:1, b:1),
% 0.71/1.12 alpha20 [85, 1] (w:1, o:40, a:1, s:1, b:1),
% 0.71/1.12 alpha21 [86, 1] (w:1, o:41, a:1, s:1, b:1),
% 0.71/1.12 alpha22 [87, 1] (w:1, o:42, a:1, s:1, b:1),
% 0.71/1.12 alpha23 [88, 1] (w:1, o:43, a:1, s:1, b:1),
% 0.71/1.12 alpha24 [89, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.71/1.12 alpha25 [90, 1] (w:1, o:44, a:1, s:1, b:1),
% 0.71/1.12 alpha26 [91, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.71/1.12 alpha27 [92, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.71/1.12 alpha28 [93, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.71/1.12 alpha29 [94, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.71/1.12 alpha30 [95, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.71/1.12 alpha31 [96, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.71/1.12 alpha32 [97, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.71/1.12 alpha33 [98, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.71/1.12 alpha34 [99, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.71/1.12 alpha35 [100, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.71/1.12 alpha36 [101, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.71/1.12 skol1 [102, 1] (w:1, o:45, a:1, s:1, b:1),
% 0.71/1.12 skol2 [103, 2] (w:1, o:111, a:1, s:1, b:1),
% 0.71/1.12 skol3 [104, 2] (w:1, o:113, a:1, s:1, b:1),
% 0.71/1.12 skol4 [105, 2] (w:1, o:114, a:1, s:1, b:1),
% 0.71/1.12 skol5 [106, 3] (w:1, o:127, a:1, s:1, b:1),
% 0.71/1.12 skol6 [107, 3] (w:1, o:128, a:1, s:1, b:1),
% 0.71/1.12 skol7 [108, 1] (w:1, o:46, a:1, s:1, b:1),
% 0.71/1.12 skol8 [109, 2] (w:1, o:115, a:1, s:1, b:1),
% 0.71/1.12 skol9 [110, 1] (w:1, o:47, a:1, s:1, b:1),
% 0.71/1.12 skol10 [111, 1] (w:1, o:48, a:1, s:1, b:1),
% 0.71/1.12 skol11 [112, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.71/1.12 skol12 [113, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.71/1.12 skol13 [114, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.71/1.12 skol14 [115, 1] (w:1, o:49, a:1, s:1, b:1),
% 0.71/1.12 skol15 [116, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.71/1.12 skol16 [117, 2] (w:1, o:109, a:1, s:1, b:1),
% 0.71/1.12 skol17 [118, 2] (w:1, o:110, a:1, s:1, b:1),
% 0.71/1.12 skol18 [119, 1] (w:1, o:50, a:1, s:1, b:1),
% 0.71/1.12 skol19 [120, 1] (w:1, o:51, a:1, s:1, b:1),
% 0.71/1.12 skol20 [121, 1] (w:1, o:52, a:1, s:1, b:1),
% 0.71/1.12 skol21 [122, 1] (w:1, o:53, a:1, s:1, b:1),
% 0.71/1.12 skol22 [123, 1] (w:1, o:54, a:1, s:1, b:1),
% 0.71/1.12 skol23 [124, 1] (w:1, o:55, a:1, s:1, b:1),
% 0.71/1.12 skol24 [125, 1] (w:1, o:56, a:1, s:1, b:1),
% 0.71/1.12 skol25 [126, 1] (w:1, o:57, a:1, s:1, b:1),
% 0.71/1.12 skol26 [127, 2] (w:1, o:112, a:1, s:1, b:1),
% 0.71/1.12 skol27 [128, 1] (w:1, o:58, a:1, s:1, b:1).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Starting Search:
% 0.71/1.12
% 0.71/1.12 *** allocated 15000 integers for clauses
% 0.71/1.12
% 0.71/1.12 Bliksems!, er is een bewijs:
% 0.71/1.12 % SZS status Theorem
% 0.71/1.12 % SZS output start Refutation
% 0.71/1.12
% 0.71/1.12 (183) {G0,W4,D2,L1,V0,M1} I { aSupremumOfIn0( xp, xT, xS ) }.
% 0.71/1.12 (187) {G0,W4,D2,L1,V1,M1} I { ! aSupremumOfIn0( X, xT, xS ) }.
% 0.71/1.12 (222) {G1,W0,D0,L0,V0,M0} S(183);r(187) { }.
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 % SZS output end Refutation
% 0.71/1.12 found a proof!
% 0.71/1.12
% 0.71/1.12 *** allocated 22500 integers for clauses
% 0.71/1.12
% 0.71/1.12 Unprocessed initial clauses:
% 0.71/1.12
% 0.71/1.12 (224) {G0,W1,D1,L1,V0,M1} { && }.
% 0.71/1.12 (225) {G0,W1,D1,L1,V0,M1} { && }.
% 0.71/1.12 (226) {G0,W7,D2,L3,V2,M3} { ! aSet0( X ), ! aElementOf0( Y, X ), aElement0
% 0.71/1.12 ( Y ) }.
% 0.71/1.12 (227) {G0,W7,D2,L3,V2,M3} { ! aSet0( X ), ! isEmpty0( X ), ! aElementOf0(
% 0.71/1.12 Y, X ) }.
% 0.71/1.12 (228) {G0,W8,D3,L3,V1,M3} { ! aSet0( X ), aElementOf0( skol1( X ), X ),
% 0.71/1.12 isEmpty0( X ) }.
% 0.71/1.12 (229) {G0,W7,D2,L3,V2,M3} { ! aSet0( X ), ! aSubsetOf0( Y, X ), aSet0( Y )
% 0.71/1.12 }.
% 0.71/1.12 (230) {G0,W8,D2,L3,V2,M3} { ! aSet0( X ), ! aSubsetOf0( Y, X ), alpha1( X
% 0.71/1.12 , Y ) }.
% 0.71/1.12 (231) {G0,W10,D2,L4,V2,M4} { ! aSet0( X ), ! aSet0( Y ), ! alpha1( X, Y )
% 0.71/1.12 , aSubsetOf0( Y, X ) }.
% 0.71/1.12 (232) {G0,W9,D2,L3,V3,M3} { ! alpha1( X, Y ), ! aElementOf0( Z, Y ),
% 0.71/1.12 aElementOf0( Z, X ) }.
% 0.71/1.12 (233) {G0,W8,D3,L2,V3,M2} { aElementOf0( skol2( Z, Y ), Y ), alpha1( X, Y
% 0.71/1.12 ) }.
% 0.71/1.12 (234) {G0,W8,D3,L2,V2,M2} { ! aElementOf0( skol2( X, Y ), X ), alpha1( X,
% 0.71/1.12 Y ) }.
% 0.71/1.12 (235) {G0,W1,D1,L1,V0,M1} { && }.
% 0.71/1.12 (236) {G0,W5,D2,L2,V1,M2} { ! aElement0( X ), sdtlseqdt0( X, X ) }.
% 0.71/1.12 (237) {G0,W13,D2,L5,V2,M5} { ! aElement0( X ), ! aElement0( Y ), !
% 0.71/1.12 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.71/1.12 (238) {G0,W15,D2,L6,V3,M6} { ! aElement0( X ), ! aElement0( Y ), !
% 0.71/1.12 aElement0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X
% 0.71/1.12 , Z ) }.
% 0.71/1.12 (239) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.71/1.12 aLowerBoundOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.71/1.12 (240) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.71/1.12 aLowerBoundOfIn0( Z, Y, X ), alpha2( Y, Z ) }.
% 0.71/1.12 (241) {G0,W15,D2,L5,V3,M5} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.71/1.12 aElementOf0( Z, X ), ! alpha2( Y, Z ), aLowerBoundOfIn0( Z, Y, X ) }.
% 0.71/1.12 (242) {G0,W9,D2,L3,V3,M3} { ! alpha2( X, Y ), ! aElementOf0( Z, X ),
% 0.71/1.12 sdtlseqdt0( Y, Z ) }.
% 0.71/1.12 (243) {G0,W8,D3,L2,V3,M2} { ! sdtlseqdt0( Y, skol3( Z, Y ) ), alpha2( X, Y
% 0.71/1.12 ) }.
% 0.71/1.12 (244) {G0,W8,D3,L2,V2,M2} { aElementOf0( skol3( X, Y ), X ), alpha2( X, Y
% 0.71/1.12 ) }.
% 0.71/1.12 (245) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.71/1.12 aUpperBoundOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.71/1.12 (246) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.71/1.12 aUpperBoundOfIn0( Z, Y, X ), alpha3( Y, Z ) }.
% 0.71/1.12 (247) {G0,W15,D2,L5,V3,M5} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.71/1.12 aElementOf0( Z, X ), ! alpha3( Y, Z ), aUpperBoundOfIn0( Z, Y, X ) }.
% 0.71/1.12 (248) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! aElementOf0( Z, X ),
% 0.71/1.12 sdtlseqdt0( Z, Y ) }.
% 0.71/1.12 (249) {G0,W8,D3,L2,V3,M2} { ! sdtlseqdt0( skol4( Z, Y ), Y ), alpha3( X, Y
% 0.71/1.12 ) }.
% 0.71/1.12 (250) {G0,W8,D3,L2,V2,M2} { aElementOf0( skol4( X, Y ), X ), alpha3( X, Y
% 0.71/1.12 ) }.
% 0.71/1.12 (251) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.71/1.12 aInfimumOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.71/1.12 (252) {G0,W13,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.71/1.12 aInfimumOfIn0( Z, Y, X ), alpha4( X, Y, Z ) }.
% 0.71/1.12 (253) {G0,W16,D2,L5,V3,M5} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.71/1.12 aElementOf0( Z, X ), ! alpha4( X, Y, Z ), aInfimumOfIn0( Z, Y, X ) }.
% 0.71/1.12 (254) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), aLowerBoundOfIn0( Z, Y, X
% 0.71/1.12 ) }.
% 0.71/1.12 (255) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), alpha8( X, Y, Z ) }.
% 0.71/1.12 (256) {G0,W12,D2,L3,V3,M3} { ! aLowerBoundOfIn0( Z, Y, X ), ! alpha8( X, Y
% 0.71/1.12 , Z ), alpha4( X, Y, Z ) }.
% 0.71/1.12 (257) {G0,W11,D2,L3,V4,M3} { ! alpha8( X, Y, Z ), ! aLowerBoundOfIn0( T, Y
% 0.71/1.12 , X ), sdtlseqdt0( T, Z ) }.
% 0.71/1.12 (258) {G0,W10,D3,L2,V5,M2} { ! sdtlseqdt0( skol5( T, U, Z ), Z ), alpha8(
% 0.71/1.12 X, Y, Z ) }.
% 0.71/1.12 (259) {G0,W11,D3,L2,V3,M2} { aLowerBoundOfIn0( skol5( X, Y, Z ), Y, X ),
% 0.71/1.12 alpha8( X, Y, Z ) }.
% 0.71/1.12 (260) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.71/1.12 aSupremumOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.71/1.12 (261) {G0,W13,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.71/1.12 aSupremumOfIn0( Z, Y, X ), alpha5( X, Y, Z ) }.
% 0.71/1.12 (262) {G0,W16,D2,L5,V3,M5} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.71/1.12 aElementOf0( Z, X ), ! alpha5( X, Y, Z ), aSupremumOfIn0( Z, Y, X ) }.
% 0.71/1.12 (263) {G0,W8,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), aUpperBoundOfIn0( Z, Y, X
% 0.71/1.12 ) }.
% 0.71/1.12 (264) {G0,W8,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), alpha9( X, Y, Z ) }.
% 0.71/1.12 (265) {G0,W12,D2,L3,V3,M3} { ! aUpperBoundOfIn0( Z, Y, X ), ! alpha9( X, Y
% 0.71/1.12 , Z ), alpha5( X, Y, Z ) }.
% 0.71/1.12 (266) {G0,W11,D2,L3,V4,M3} { ! alpha9( X, Y, Z ), ! aUpperBoundOfIn0( T, Y
% 0.71/1.12 , X ), sdtlseqdt0( Z, T ) }.
% 0.71/1.12 (267) {G0,W10,D3,L2,V5,M2} { ! sdtlseqdt0( Z, skol6( T, U, Z ) ), alpha9(
% 0.71/1.12 X, Y, Z ) }.
% 0.71/1.12 (268) {G0,W11,D3,L2,V3,M2} { aUpperBoundOfIn0( skol6( X, Y, Z ), Y, X ),
% 0.71/1.12 alpha9( X, Y, Z ) }.
% 0.71/1.12 (269) {G0,W16,D2,L5,V4,M5} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.71/1.12 aSupremumOfIn0( Z, Y, X ), ! aSupremumOfIn0( T, Y, X ), Z = T }.
% 0.71/1.12 (270) {G0,W16,D2,L5,V4,M5} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.71/1.12 aInfimumOfIn0( Z, Y, X ), ! aInfimumOfIn0( T, Y, X ), Z = T }.
% 0.71/1.12 (271) {G0,W4,D2,L2,V1,M2} { ! aCompleteLattice0( X ), aSet0( X ) }.
% 0.71/1.12 (272) {G0,W4,D2,L2,V1,M2} { ! aCompleteLattice0( X ), alpha6( X ) }.
% 0.71/1.12 (273) {G0,W6,D2,L3,V1,M3} { ! aSet0( X ), ! alpha6( X ), aCompleteLattice0
% 0.71/1.12 ( X ) }.
% 0.71/1.12 (274) {G0,W8,D2,L3,V2,M3} { ! alpha6( X ), ! aSubsetOf0( Y, X ), alpha10(
% 0.71/1.12 X, Y ) }.
% 0.71/1.12 (275) {G0,W6,D3,L2,V1,M2} { aSubsetOf0( skol7( X ), X ), alpha6( X ) }.
% 0.71/1.12 (276) {G0,W6,D3,L2,V1,M2} { ! alpha10( X, skol7( X ) ), alpha6( X ) }.
% 0.71/1.12 (277) {G0,W9,D3,L2,V2,M2} { ! alpha10( X, Y ), aInfimumOfIn0( skol8( X, Y
% 0.71/1.12 ), Y, X ) }.
% 0.71/1.12 (278) {G0,W9,D3,L2,V2,M2} { ! alpha10( X, Y ), aSupremumOfIn0( skol26( X,
% 0.71/1.12 Y ), Y, X ) }.
% 0.71/1.12 (279) {G0,W11,D2,L3,V4,M3} { ! aInfimumOfIn0( Z, Y, X ), ! aSupremumOfIn0
% 0.71/1.12 ( T, Y, X ), alpha10( X, Y ) }.
% 0.71/1.12 (280) {G0,W1,D1,L1,V0,M1} { && }.
% 0.71/1.12 (281) {G0,W5,D3,L2,V1,M2} { ! aFunction0( X ), aSet0( szDzozmdt0( X ) )
% 0.71/1.12 }.
% 0.71/1.12 (282) {G0,W5,D3,L2,V1,M2} { ! aFunction0( X ), aSet0( szRzazndt0( X ) )
% 0.71/1.12 }.
% 0.71/1.12 (283) {G0,W12,D3,L4,V2,M4} { ! aFunction0( X ), ! aSet0( Y ), ! isOn0( X,
% 0.71/1.12 Y ), szDzozmdt0( X ) = szRzazndt0( X ) }.
% 0.71/1.12 (284) {G0,W11,D3,L4,V2,M4} { ! aFunction0( X ), ! aSet0( Y ), ! isOn0( X,
% 0.71/1.12 Y ), szRzazndt0( X ) = Y }.
% 0.71/1.12 (285) {G0,W16,D3,L5,V2,M5} { ! aFunction0( X ), ! aSet0( Y ), ! szDzozmdt0
% 0.71/1.12 ( X ) = szRzazndt0( X ), ! szRzazndt0( X ) = Y, isOn0( X, Y ) }.
% 0.71/1.12 (286) {G0,W12,D3,L3,V2,M3} { ! aFunction0( X ), ! aElementOf0( Y,
% 0.71/1.12 szDzozmdt0( X ) ), aElementOf0( sdtlpdtrp0( X, Y ), szRzazndt0( X ) ) }.
% 0.71/1.12 (287) {G0,W9,D3,L3,V2,M3} { ! aFunction0( X ), ! aFixedPointOf0( Y, X ),
% 0.71/1.12 aElementOf0( Y, szDzozmdt0( X ) ) }.
% 0.71/1.12 (288) {G0,W10,D3,L3,V2,M3} { ! aFunction0( X ), ! aFixedPointOf0( Y, X ),
% 0.71/1.12 sdtlpdtrp0( X, Y ) = Y }.
% 0.71/1.12 (289) {G0,W14,D3,L4,V2,M4} { ! aFunction0( X ), ! aElementOf0( Y,
% 0.71/1.12 szDzozmdt0( X ) ), ! sdtlpdtrp0( X, Y ) = Y, aFixedPointOf0( Y, X ) }.
% 0.71/1.12 (290) {G0,W12,D2,L4,V3,M4} { ! aFunction0( X ), ! isMonotone0( X ), !
% 0.71/1.12 alpha7( X, Y, Z ), alpha11( X, Y, Z ) }.
% 0.71/1.12 (291) {G0,W10,D3,L3,V1,M3} { ! aFunction0( X ), alpha7( X, skol9( X ),
% 0.71/1.12 skol27( X ) ), isMonotone0( X ) }.
% 0.71/1.12 (292) {G0,W10,D3,L3,V1,M3} { ! aFunction0( X ), ! alpha11( X, skol9( X ),
% 0.71/1.12 skol27( X ) ), isMonotone0( X ) }.
% 0.71/1.12 (293) {G0,W14,D3,L3,V3,M3} { ! alpha11( X, Y, Z ), ! sdtlseqdt0( Y, Z ),
% 0.71/1.12 sdtlseqdt0( sdtlpdtrp0( X, Y ), sdtlpdtrp0( X, Z ) ) }.
% 0.71/1.12 (294) {G0,W7,D2,L2,V3,M2} { sdtlseqdt0( Y, Z ), alpha11( X, Y, Z ) }.
% 0.71/1.12 (295) {G0,W11,D3,L2,V3,M2} { ! sdtlseqdt0( sdtlpdtrp0( X, Y ), sdtlpdtrp0
% 0.71/1.12 ( X, Z ) ), alpha11( X, Y, Z ) }.
% 0.71/1.12 (296) {G0,W8,D3,L2,V3,M2} { ! alpha7( X, Y, Z ), aElementOf0( Y,
% 0.71/1.12 szDzozmdt0( X ) ) }.
% 0.71/1.12 (297) {G0,W8,D3,L2,V3,M2} { ! alpha7( X, Y, Z ), aElementOf0( Z,
% 0.71/1.12 szDzozmdt0( X ) ) }.
% 0.71/1.12 (298) {G0,W12,D3,L3,V3,M3} { ! aElementOf0( Y, szDzozmdt0( X ) ), !
% 0.71/1.12 aElementOf0( Z, szDzozmdt0( X ) ), alpha7( X, Y, Z ) }.
% 0.71/1.12 (299) {G0,W2,D2,L1,V0,M1} { aSet0( xU ) }.
% 0.71/1.12 (300) {G0,W6,D3,L2,V1,M2} { alpha12( X ), alpha29( X, skol10( X ) ) }.
% 0.71/1.12 (301) {G0,W4,D2,L2,V1,M2} { alpha12( X ), alpha21( X ) }.
% 0.71/1.12 (302) {G0,W2,D2,L1,V0,M1} { aCompleteLattice0( xU ) }.
% 0.71/1.12 (303) {G0,W2,D2,L1,V0,M1} { aFunction0( xf ) }.
% 0.71/1.12 (304) {G0,W18,D3,L4,V2,M4} { ! aElementOf0( X, szDzozmdt0( xf ) ), !
% 0.71/1.12 aElementOf0( Y, szDzozmdt0( xf ) ), ! sdtlseqdt0( X, Y ), sdtlseqdt0(
% 0.71/1.12 sdtlpdtrp0( xf, X ), sdtlpdtrp0( xf, Y ) ) }.
% 0.71/1.12 (305) {G0,W2,D2,L1,V0,M1} { isMonotone0( xf ) }.
% 0.71/1.12 (306) {G0,W5,D3,L1,V0,M1} { szDzozmdt0( xf ) = szRzazndt0( xf ) }.
% 0.71/1.12 (307) {G0,W4,D3,L1,V0,M1} { szRzazndt0( xf ) = xU }.
% 0.71/1.12 (308) {G0,W3,D2,L1,V0,M1} { isOn0( xf, xU ) }.
% 0.71/1.12 (309) {G0,W6,D2,L2,V2,M2} { ! alpha29( X, Y ), alpha24( X, Y ) }.
% 0.71/1.12 (310) {G0,W6,D2,L2,V2,M2} { ! alpha29( X, Y ), alpha26( X, Y ) }.
% 0.71/1.12 (311) {G0,W7,D2,L2,V2,M2} { ! alpha29( X, Y ), aInfimumOfIn0( Y, X, xU )
% 0.71/1.12 }.
% 0.71/1.12 (312) {G0,W13,D2,L4,V2,M4} { ! alpha24( X, Y ), ! alpha26( X, Y ), !
% 0.71/1.12 aInfimumOfIn0( Y, X, xU ), alpha29( X, Y ) }.
% 0.71/1.12 (313) {G0,W9,D2,L3,V3,M3} { ! alpha26( X, Y ), alpha30( X, Z ), sdtlseqdt0
% 0.71/1.12 ( Z, Y ) }.
% 0.71/1.12 (314) {G0,W8,D3,L2,V3,M2} { ! sdtlseqdt0( skol11( Z, Y ), Y ), alpha26( X
% 0.71/1.12 , Y ) }.
% 0.71/1.12 (315) {G0,W8,D3,L2,V2,M2} { ! alpha30( X, skol11( X, Y ) ), alpha26( X, Y
% 0.71/1.12 ) }.
% 0.71/1.12 (316) {G0,W6,D2,L2,V2,M2} { ! alpha30( X, Y ), alpha32( X, Y ) }.
% 0.71/1.12 (317) {G0,W7,D2,L2,V2,M2} { ! alpha30( X, Y ), ! aLowerBoundOfIn0( Y, X,
% 0.71/1.12 xU ) }.
% 0.71/1.12 (318) {G0,W10,D2,L3,V2,M3} { ! alpha32( X, Y ), aLowerBoundOfIn0( Y, X, xU
% 0.71/1.12 ), alpha30( X, Y ) }.
% 0.71/1.12 (319) {G0,W11,D3,L3,V3,M3} { ! alpha32( X, Y ), ! aElementOf0( Y, xU ), !
% 0.71/1.12 sdtlseqdt0( Y, skol12( Z, Y ) ) }.
% 0.71/1.12 (320) {G0,W11,D3,L3,V2,M3} { ! alpha32( X, Y ), ! aElementOf0( Y, xU ),
% 0.71/1.12 aElementOf0( skol12( X, Y ), X ) }.
% 0.71/1.12 (321) {G0,W6,D2,L2,V2,M2} { aElementOf0( Y, xU ), alpha32( X, Y ) }.
% 0.71/1.12 (322) {G0,W9,D2,L3,V3,M3} { ! aElementOf0( Z, X ), sdtlseqdt0( Y, Z ),
% 0.71/1.12 alpha32( X, Y ) }.
% 0.71/1.12 (323) {G0,W6,D2,L2,V2,M2} { ! alpha24( X, Y ), alpha27( X, Y ) }.
% 0.71/1.12 (324) {G0,W7,D2,L2,V2,M2} { ! alpha24( X, Y ), aLowerBoundOfIn0( Y, X, xU
% 0.71/1.12 ) }.
% 0.71/1.12 (325) {G0,W10,D2,L3,V2,M3} { ! alpha27( X, Y ), ! aLowerBoundOfIn0( Y, X,
% 0.71/1.12 xU ), alpha24( X, Y ) }.
% 0.71/1.12 (326) {G0,W5,D2,L2,V2,M2} { ! alpha27( X, Y ), alpha16( Y ) }.
% 0.71/1.12 (327) {G0,W9,D2,L3,V3,M3} { ! alpha27( X, Y ), ! aElementOf0( Z, X ),
% 0.71/1.12 sdtlseqdt0( Y, Z ) }.
% 0.71/1.12 (328) {G0,W10,D3,L3,V3,M3} { ! alpha16( Y ), ! sdtlseqdt0( Y, skol13( Z, Y
% 0.71/1.12 ) ), alpha27( X, Y ) }.
% 0.71/1.12 (329) {G0,W10,D3,L3,V2,M3} { ! alpha16( Y ), aElementOf0( skol13( X, Y ),
% 0.71/1.12 X ), alpha27( X, Y ) }.
% 0.71/1.12 (330) {G0,W6,D3,L2,V1,M2} { ! alpha21( X ), alpha28( X, skol14( X ) ) }.
% 0.71/1.12 (331) {G0,W7,D3,L2,V1,M2} { ! alpha21( X ), aSupremumOfIn0( skol14( X ), X
% 0.71/1.12 , xU ) }.
% 0.71/1.12 (332) {G0,W9,D2,L3,V2,M3} { ! alpha28( X, Y ), ! aSupremumOfIn0( Y, X, xU
% 0.71/1.12 ), alpha21( X ) }.
% 0.71/1.12 (333) {G0,W6,D2,L2,V2,M2} { ! alpha28( X, Y ), alpha31( X, Y ) }.
% 0.71/1.12 (334) {G0,W6,D2,L2,V2,M2} { ! alpha28( X, Y ), alpha33( X, Y ) }.
% 0.71/1.12 (335) {G0,W9,D2,L3,V2,M3} { ! alpha31( X, Y ), ! alpha33( X, Y ), alpha28
% 0.71/1.12 ( X, Y ) }.
% 0.71/1.12 (336) {G0,W9,D2,L3,V3,M3} { ! alpha33( X, Y ), alpha35( X, Z ), sdtlseqdt0
% 0.71/1.12 ( Y, Z ) }.
% 0.71/1.12 (337) {G0,W8,D3,L2,V3,M2} { ! sdtlseqdt0( Y, skol15( Z, Y ) ), alpha33( X
% 0.71/1.12 , Y ) }.
% 0.71/1.12 (338) {G0,W8,D3,L2,V2,M2} { ! alpha35( X, skol15( X, Y ) ), alpha33( X, Y
% 0.71/1.12 ) }.
% 0.71/1.12 (339) {G0,W6,D2,L2,V2,M2} { ! alpha35( X, Y ), alpha36( X, Y ) }.
% 0.71/1.12 (340) {G0,W7,D2,L2,V2,M2} { ! alpha35( X, Y ), ! aUpperBoundOfIn0( Y, X,
% 0.71/1.12 xU ) }.
% 0.71/1.12 (341) {G0,W10,D2,L3,V2,M3} { ! alpha36( X, Y ), aUpperBoundOfIn0( Y, X, xU
% 0.71/1.12 ), alpha35( X, Y ) }.
% 0.71/1.12 (342) {G0,W11,D3,L3,V3,M3} { ! alpha36( X, Y ), ! aElementOf0( Y, xU ), !
% 0.71/1.12 sdtlseqdt0( skol16( Z, Y ), Y ) }.
% 0.71/1.12 (343) {G0,W11,D3,L3,V2,M3} { ! alpha36( X, Y ), ! aElementOf0( Y, xU ),
% 0.71/1.12 aElementOf0( skol16( X, Y ), X ) }.
% 0.71/1.12 (344) {G0,W6,D2,L2,V2,M2} { aElementOf0( Y, xU ), alpha36( X, Y ) }.
% 0.71/1.12 (345) {G0,W9,D2,L3,V3,M3} { ! aElementOf0( Z, X ), sdtlseqdt0( Z, Y ),
% 0.71/1.12 alpha36( X, Y ) }.
% 0.71/1.12 (346) {G0,W6,D2,L2,V2,M2} { ! alpha31( X, Y ), alpha34( X, Y ) }.
% 0.71/1.12 (347) {G0,W7,D2,L2,V2,M2} { ! alpha31( X, Y ), aUpperBoundOfIn0( Y, X, xU
% 0.71/1.12 ) }.
% 0.71/1.12 (348) {G0,W10,D2,L3,V2,M3} { ! alpha34( X, Y ), ! aUpperBoundOfIn0( Y, X,
% 0.71/1.12 xU ), alpha31( X, Y ) }.
% 0.71/1.12 (349) {G0,W5,D2,L2,V2,M2} { ! alpha34( X, Y ), alpha25( Y ) }.
% 0.71/1.12 (350) {G0,W9,D2,L3,V3,M3} { ! alpha34( X, Y ), ! aElementOf0( Z, X ),
% 0.71/1.12 sdtlseqdt0( Z, Y ) }.
% 0.71/1.12 (351) {G0,W10,D3,L3,V3,M3} { ! alpha25( Y ), ! sdtlseqdt0( skol17( Z, Y )
% 0.71/1.12 , Y ), alpha34( X, Y ) }.
% 0.71/1.12 (352) {G0,W10,D3,L3,V2,M3} { ! alpha25( Y ), aElementOf0( skol17( X, Y ),
% 0.71/1.12 X ), alpha34( X, Y ) }.
% 0.71/1.12 (353) {G0,W5,D2,L2,V1,M2} { ! alpha25( X ), aElementOf0( X, xU ) }.
% 0.71/1.12 (354) {G0,W5,D2,L2,V1,M2} { ! alpha25( X ), aElementOf0( X, xU ) }.
% 0.71/1.12 (355) {G0,W8,D2,L3,V1,M3} { ! aElementOf0( X, xU ), ! aElementOf0( X, xU )
% 0.71/1.12 , alpha25( X ) }.
% 0.71/1.12 (356) {G0,W5,D2,L2,V1,M2} { ! alpha16( X ), aElementOf0( X, xU ) }.
% 0.71/1.12 (357) {G0,W5,D2,L2,V1,M2} { ! alpha16( X ), aElementOf0( X, xU ) }.
% 0.71/1.12 (358) {G0,W8,D2,L3,V1,M3} { ! aElementOf0( X, xU ), ! aElementOf0( X, xU )
% 0.71/1.12 , alpha16( X ) }.
% 0.71/1.12 (359) {G0,W4,D2,L2,V1,M2} { ! alpha12( X ), alpha17( X ) }.
% 0.71/1.12 (360) {G0,W5,D2,L2,V1,M2} { ! alpha12( X ), ! aSubsetOf0( X, xU ) }.
% 0.71/1.12 (361) {G0,W7,D2,L3,V1,M3} { ! alpha17( X ), aSubsetOf0( X, xU ), alpha12(
% 0.71/1.12 X ) }.
% 0.71/1.12 (362) {G0,W8,D3,L3,V2,M3} { ! alpha17( X ), ! aSet0( X ), ! aElementOf0(
% 0.71/1.12 skol18( Y ), xU ) }.
% 0.71/1.12 (363) {G0,W8,D3,L3,V1,M3} { ! alpha17( X ), ! aSet0( X ), aElementOf0(
% 0.71/1.12 skol18( X ), X ) }.
% 0.71/1.12 (364) {G0,W4,D2,L2,V1,M2} { aSet0( X ), alpha17( X ) }.
% 0.71/1.12 (365) {G0,W8,D2,L3,V2,M3} { ! aElementOf0( Y, X ), aElementOf0( Y, xU ),
% 0.71/1.12 alpha17( X ) }.
% 0.71/1.12 (366) {G0,W2,D2,L1,V0,M1} { aSet0( xS ) }.
% 0.71/1.12 (367) {G0,W5,D2,L2,V1,M2} { ! aElementOf0( X, xS ), alpha13( X ) }.
% 0.71/1.12 (368) {G0,W12,D3,L3,V1,M3} { ! aElementOf0( X, szDzozmdt0( xf ) ), !
% 0.71/1.12 sdtlpdtrp0( xf, X ) = X, aElementOf0( X, xS ) }.
% 0.71/1.12 (369) {G0,W6,D2,L2,V1,M2} { ! aFixedPointOf0( X, xf ), aElementOf0( X, xS
% 0.71/1.12 ) }.
% 0.71/1.12 (370) {G0,W4,D3,L1,V0,M1} { xS = cS1142( xf ) }.
% 0.71/1.12 (371) {G0,W6,D3,L2,V1,M2} { ! alpha13( X ), aElementOf0( X, szDzozmdt0( xf
% 0.71/1.12 ) ) }.
% 0.71/1.12 (372) {G0,W7,D3,L2,V1,M2} { ! alpha13( X ), sdtlpdtrp0( xf, X ) = X }.
% 0.71/1.12 (373) {G0,W5,D2,L2,V1,M2} { ! alpha13( X ), aFixedPointOf0( X, xf ) }.
% 0.71/1.12 (374) {G0,W14,D3,L4,V1,M4} { ! aElementOf0( X, szDzozmdt0( xf ) ), !
% 0.71/1.12 sdtlpdtrp0( xf, X ) = X, ! aFixedPointOf0( X, xf ), alpha13( X ) }.
% 0.71/1.12 (375) {G0,W2,D2,L1,V0,M1} { aSet0( xT ) }.
% 0.71/1.12 (376) {G0,W6,D2,L2,V1,M2} { ! aElementOf0( X, xT ), aElementOf0( X, xS )
% 0.71/1.12 }.
% 0.71/1.12 (377) {G0,W3,D2,L1,V0,M1} { aSubsetOf0( xT, xS ) }.
% 0.71/1.12 (378) {G0,W2,D2,L1,V0,M1} { aSet0( xP ) }.
% 0.71/1.12 (379) {G0,W5,D2,L2,V1,M2} { ! aElementOf0( X, xP ), alpha14( X ) }.
% 0.71/1.12 (380) {G0,W15,D3,L4,V2,M4} { ! aElementOf0( X, xU ), ! sdtlseqdt0(
% 0.71/1.12 sdtlpdtrp0( xf, X ), X ), aElementOf0( skol19( Y ), xT ), aElementOf0( X
% 0.71/1.12 , xP ) }.
% 0.71/1.12 (381) {G0,W15,D3,L4,V1,M4} { ! aElementOf0( X, xU ), ! sdtlseqdt0(
% 0.71/1.12 sdtlpdtrp0( xf, X ), X ), ! sdtlseqdt0( skol19( X ), X ), aElementOf0( X
% 0.71/1.12 , xP ) }.
% 0.71/1.12 (382) {G0,W15,D3,L4,V1,M4} { ! aElementOf0( X, xU ), ! sdtlseqdt0(
% 0.71/1.12 sdtlpdtrp0( xf, X ), X ), ! aUpperBoundOfIn0( X, xT, xU ), aElementOf0( X
% 0.71/1.12 , xP ) }.
% 0.71/1.12 (383) {G0,W6,D3,L1,V0,M1} { xP = cS1241( xU, xf, xT ) }.
% 0.71/1.12 (384) {G0,W4,D2,L2,V1,M2} { ! alpha14( X ), alpha18( X ) }.
% 0.71/1.12 (385) {G0,W6,D2,L2,V1,M2} { ! alpha14( X ), aUpperBoundOfIn0( X, xT, xU )
% 0.71/1.12 }.
% 0.71/1.12 (386) {G0,W8,D2,L3,V1,M3} { ! alpha18( X ), ! aUpperBoundOfIn0( X, xT, xU
% 0.71/1.12 ), alpha14( X ) }.
% 0.71/1.12 (387) {G0,W4,D2,L2,V1,M2} { ! alpha18( X ), alpha22( X ) }.
% 0.71/1.12 (388) {G0,W8,D2,L3,V2,M3} { ! alpha18( X ), ! aElementOf0( Y, xT ),
% 0.71/1.12 sdtlseqdt0( Y, X ) }.
% 0.71/1.12 (389) {G0,W8,D3,L3,V2,M3} { ! alpha22( X ), aElementOf0( skol20( Y ), xT )
% 0.71/1.12 , alpha18( X ) }.
% 0.71/1.12 (390) {G0,W8,D3,L3,V1,M3} { ! alpha22( X ), ! sdtlseqdt0( skol20( X ), X )
% 0.71/1.12 , alpha18( X ) }.
% 0.71/1.12 (391) {G0,W5,D2,L2,V1,M2} { ! alpha22( X ), aElementOf0( X, xU ) }.
% 0.71/1.12 (392) {G0,W7,D3,L2,V1,M2} { ! alpha22( X ), sdtlseqdt0( sdtlpdtrp0( xf, X
% 0.71/1.12 ), X ) }.
% 0.71/1.12 (393) {G0,W10,D3,L3,V1,M3} { ! aElementOf0( X, xU ), ! sdtlseqdt0(
% 0.71/1.12 sdtlpdtrp0( xf, X ), X ), alpha22( X ) }.
% 0.71/1.12 (394) {G0,W3,D2,L1,V0,M1} { aElementOf0( xp, xU ) }.
% 0.71/1.12 (395) {G0,W3,D2,L1,V0,M1} { aElementOf0( xp, xU ) }.
% 0.71/1.12 (396) {G0,W6,D2,L2,V1,M2} { ! aElementOf0( X, xP ), sdtlseqdt0( xp, X )
% 0.71/1.12 }.
% 0.71/1.12 (397) {G0,W4,D2,L1,V0,M1} { aLowerBoundOfIn0( xp, xP, xU ) }.
% 0.71/1.12 (398) {G0,W10,D3,L3,V2,M3} { ! aElementOf0( X, xU ), aElementOf0( skol21(
% 0.71/1.12 Y ), xP ), sdtlseqdt0( X, xp ) }.
% 0.71/1.12 (399) {G0,W10,D3,L3,V1,M3} { ! aElementOf0( X, xU ), ! sdtlseqdt0( X,
% 0.71/1.12 skol21( X ) ), sdtlseqdt0( X, xp ) }.
% 0.71/1.12 (400) {G0,W7,D2,L2,V1,M2} { ! aLowerBoundOfIn0( X, xP, xU ), sdtlseqdt0( X
% 0.71/1.12 , xp ) }.
% 0.71/1.12 (401) {G0,W4,D2,L1,V0,M1} { aInfimumOfIn0( xp, xP, xU ) }.
% 0.71/1.12 (402) {G0,W8,D3,L2,V1,M2} { ! aElementOf0( X, xP ), sdtlseqdt0( sdtlpdtrp0
% 0.71/1.12 ( xf, xp ), X ) }.
% 0.71/1.12 (403) {G0,W6,D3,L1,V0,M1} { aLowerBoundOfIn0( sdtlpdtrp0( xf, xp ), xP, xU
% 0.71/1.12 ) }.
% 0.71/1.12 (404) {G0,W8,D3,L2,V1,M2} { ! aElementOf0( X, xT ), sdtlseqdt0( X,
% 0.71/1.12 sdtlpdtrp0( xf, xp ) ) }.
% 0.71/1.12 (405) {G0,W6,D3,L1,V0,M1} { aUpperBoundOfIn0( sdtlpdtrp0( xf, xp ), xT, xU
% 0.71/1.12 ) }.
% 0.71/1.12 (406) {G0,W4,D3,L1,V0,M1} { aElementOf0( xp, szDzozmdt0( xf ) ) }.
% 0.71/1.12 (407) {G0,W5,D3,L1,V0,M1} { sdtlpdtrp0( xf, xp ) = xp }.
% 0.71/1.12 (408) {G0,W3,D2,L1,V0,M1} { aFixedPointOf0( xp, xf ) }.
% 0.71/1.12 (409) {G0,W6,D2,L2,V1,M2} { ! aElementOf0( X, xT ), sdtlseqdt0( X, xp )
% 0.71/1.12 }.
% 0.71/1.12 (410) {G0,W4,D2,L1,V0,M1} { aUpperBoundOfIn0( xp, xT, xS ) }.
% 0.71/1.12 (411) {G0,W10,D3,L3,V2,M3} { ! aElementOf0( X, xS ), aElementOf0( skol22(
% 0.71/1.12 Y ), xT ), sdtlseqdt0( xp, X ) }.
% 0.71/1.12 (412) {G0,W10,D3,L3,V1,M3} { ! aElementOf0( X, xS ), ! sdtlseqdt0( skol22
% 0.71/1.12 ( X ), X ), sdtlseqdt0( xp, X ) }.
% 0.71/1.12 (413) {G0,W7,D2,L2,V1,M2} { ! aUpperBoundOfIn0( X, xT, xS ), sdtlseqdt0(
% 0.71/1.12 xp, X ) }.
% 0.71/1.12 (414) {G0,W4,D2,L1,V0,M1} { aSupremumOfIn0( xp, xT, xS ) }.
% 0.71/1.12 (415) {G0,W5,D3,L2,V2,M2} { alpha15( X ), alpha19( skol23( Y ) ) }.
% 0.71/1.12 (416) {G0,W7,D3,L2,V2,M2} { alpha15( X ), aUpperBoundOfIn0( skol23( Y ),
% 0.71/1.12 xT, xS ) }.
% 0.71/1.12 (417) {G0,W6,D3,L2,V1,M2} { alpha15( X ), ! sdtlseqdt0( X, skol23( X ) )
% 0.71/1.12 }.
% 0.71/1.12 (418) {G0,W4,D2,L1,V1,M1} { ! aSupremumOfIn0( X, xT, xS ) }.
% 0.71/1.12 (419) {G0,W5,D2,L2,V1,M2} { ! alpha19( X ), aElementOf0( X, xS ) }.
% 0.71/1.12 (420) {G0,W8,D2,L3,V2,M3} { ! alpha19( X ), ! aElementOf0( Y, xT ),
% 0.71/1.12 sdtlseqdt0( Y, X ) }.
% 0.71/1.12 (421) {G0,W9,D3,L3,V2,M3} { ! aElementOf0( X, xS ), aElementOf0( skol24( Y
% 0.71/1.12 ), xT ), alpha19( X ) }.
% 0.71/1.12 (422) {G0,W9,D3,L3,V1,M3} { ! aElementOf0( X, xS ), ! sdtlseqdt0( skol24(
% 0.71/1.12 X ), X ), alpha19( X ) }.
% 0.71/1.12 (423) {G0,W7,D2,L3,V1,M3} { ! alpha15( X ), ! aElementOf0( X, xS ),
% 0.71/1.12 alpha20( X ) }.
% 0.71/1.12 (424) {G0,W5,D2,L2,V1,M2} { aElementOf0( X, xS ), alpha15( X ) }.
% 0.71/1.12 (425) {G0,W4,D2,L2,V1,M2} { ! alpha20( X ), alpha15( X ) }.
% 0.71/1.12 (426) {G0,W4,D2,L2,V1,M2} { ! alpha20( X ), alpha23( X ) }.
% 0.71/1.12 (427) {G0,W6,D2,L2,V1,M2} { ! alpha20( X ), ! aUpperBoundOfIn0( X, xT, xS
% 0.71/1.12 ) }.
% 0.71/1.12 (428) {G0,W8,D2,L3,V1,M3} { ! alpha23( X ), aUpperBoundOfIn0( X, xT, xS )
% 0.71/1.12 , alpha20( X ) }.
% 0.71/1.12 (429) {G0,W9,D3,L3,V2,M3} { ! alpha23( X ), ! aElementOf0( X, xS ),
% 0.71/1.12 aElementOf0( skol25( Y ), xT ) }.
% 0.71/1.12 (430) {G0,W9,D3,L3,V1,M3} { ! alpha23( X ), ! aElementOf0( X, xS ), !
% 0.71/1.12 sdtlseqdt0( skol25( X ), X ) }.
% 0.71/1.12 (431) {G0,W5,D2,L2,V1,M2} { aElementOf0( X, xS ), alpha23( X ) }.
% 0.71/1.12 (432) {G0,W8,D2,L3,V2,M3} { ! aElementOf0( Y, xT ), sdtlseqdt0( Y, X ),
% 0.71/1.12 alpha23( X ) }.
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Total Proof:
% 0.71/1.12
% 0.71/1.12 subsumption: (183) {G0,W4,D2,L1,V0,M1} I { aSupremumOfIn0( xp, xT, xS ) }.
% 0.71/1.12 parent0: (414) {G0,W4,D2,L1,V0,M1} { aSupremumOfIn0( xp, xT, xS ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 end
% 0.71/1.12 permutation0:
% 0.71/1.12 0 ==> 0
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 subsumption: (187) {G0,W4,D2,L1,V1,M1} I { ! aSupremumOfIn0( X, xT, xS )
% 0.71/1.12 }.
% 0.71/1.12 parent0: (418) {G0,W4,D2,L1,V1,M1} { ! aSupremumOfIn0( X, xT, xS ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := X
% 0.71/1.12 end
% 0.71/1.12 permutation0:
% 0.71/1.12 0 ==> 0
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 resolution: (499) {G1,W0,D0,L0,V0,M0} { }.
% 0.71/1.12 parent0[0]: (187) {G0,W4,D2,L1,V1,M1} I { ! aSupremumOfIn0( X, xT, xS ) }.
% 0.71/1.12 parent1[0]: (183) {G0,W4,D2,L1,V0,M1} I { aSupremumOfIn0( xp, xT, xS ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := xp
% 0.71/1.12 end
% 0.71/1.12 substitution1:
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 subsumption: (222) {G1,W0,D0,L0,V0,M0} S(183);r(187) { }.
% 0.71/1.12 parent0: (499) {G1,W0,D0,L0,V0,M0} { }.
% 0.71/1.12 substitution0:
% 0.71/1.12 end
% 0.71/1.12 permutation0:
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 Proof check complete!
% 0.71/1.12
% 0.71/1.12 Memory use:
% 0.71/1.12
% 0.71/1.12 space for terms: 5704
% 0.71/1.12 space for clauses: 12447
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 clauses generated: 240
% 0.71/1.12 clauses kept: 223
% 0.71/1.12 clauses selected: 18
% 0.71/1.12 clauses deleted: 1
% 0.71/1.12 clauses inuse deleted: 0
% 0.71/1.12
% 0.71/1.12 subsentry: 281
% 0.71/1.12 literals s-matched: 157
% 0.71/1.12 literals matched: 150
% 0.71/1.12 full subsumption: 20
% 0.71/1.12
% 0.71/1.12 checksum: 1258534331
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Bliksem ended
%------------------------------------------------------------------------------