TSTP Solution File: LAT388+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LAT388+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 0.41s 1.02s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT388+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n028.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 : Tue Jun 28 22:48:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/1.02 *** allocated 10000 integers for termspace/termends
% 0.41/1.02 *** allocated 10000 integers for clauses
% 0.41/1.02 *** allocated 10000 integers for justifications
% 0.41/1.02 Bliksem 1.12
% 0.41/1.02
% 0.41/1.02
% 0.41/1.02 Automatic Strategy Selection
% 0.41/1.02
% 0.41/1.02
% 0.41/1.02 Clauses:
% 0.41/1.02
% 0.41/1.02 { && }.
% 0.41/1.02 { && }.
% 0.41/1.02 { ! aSet0( X ), ! aElementOf0( Y, X ), aElement0( Y ) }.
% 0.41/1.02 { ! aSet0( X ), ! isEmpty0( X ), ! aElementOf0( Y, X ) }.
% 0.41/1.02 { ! aSet0( X ), aElementOf0( skol1( X ), X ), isEmpty0( X ) }.
% 0.41/1.02 { ! aSet0( X ), ! aSubsetOf0( Y, X ), aSet0( Y ) }.
% 0.41/1.02 { ! aSet0( X ), ! aSubsetOf0( Y, X ), alpha1( X, Y ) }.
% 0.41/1.02 { ! aSet0( X ), ! aSet0( Y ), ! alpha1( X, Y ), aSubsetOf0( Y, X ) }.
% 0.41/1.02 { ! alpha1( X, Y ), ! aElementOf0( Z, Y ), aElementOf0( Z, X ) }.
% 0.41/1.02 { aElementOf0( skol2( Z, Y ), Y ), alpha1( X, Y ) }.
% 0.41/1.02 { ! aElementOf0( skol2( X, Y ), X ), alpha1( X, Y ) }.
% 0.41/1.02 { && }.
% 0.41/1.02 { ! aElement0( X ), sdtlseqdt0( X, X ) }.
% 0.41/1.02 { ! aElement0( X ), ! aElement0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y
% 0.41/1.02 , X ), X = Y }.
% 0.41/1.02 { ! aElement0( X ), ! aElement0( Y ), ! aElement0( Z ), ! sdtlseqdt0( X, Y
% 0.41/1.02 ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.41/1.02 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aLowerBoundOfIn0( Z, Y, X ),
% 0.41/1.02 aElementOf0( Z, X ) }.
% 0.41/1.02 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aLowerBoundOfIn0( Z, Y, X ), alpha2
% 0.41/1.02 ( Y, Z ) }.
% 0.41/1.02 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aElementOf0( Z, X ), ! alpha2( Y, Z
% 0.41/1.02 ), aLowerBoundOfIn0( Z, Y, X ) }.
% 0.41/1.02 { ! alpha2( X, Y ), ! aElementOf0( Z, X ), sdtlseqdt0( Y, Z ) }.
% 0.41/1.02 { ! sdtlseqdt0( Y, skol3( Z, Y ) ), alpha2( X, Y ) }.
% 0.41/1.02 { aElementOf0( skol3( X, Y ), X ), alpha2( X, Y ) }.
% 0.41/1.02 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aUpperBoundOfIn0( Z, Y, X ),
% 0.41/1.02 aElementOf0( Z, X ) }.
% 0.41/1.02 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aUpperBoundOfIn0( Z, Y, X ), alpha3
% 0.41/1.02 ( Y, Z ) }.
% 0.41/1.02 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aElementOf0( Z, X ), ! alpha3( Y, Z
% 0.41/1.02 ), aUpperBoundOfIn0( Z, Y, X ) }.
% 0.41/1.02 { ! alpha3( X, Y ), ! aElementOf0( Z, X ), sdtlseqdt0( Z, Y ) }.
% 0.41/1.02 { ! sdtlseqdt0( skol4( Z, Y ), Y ), alpha3( X, Y ) }.
% 0.41/1.02 { aElementOf0( skol4( X, Y ), X ), alpha3( X, Y ) }.
% 0.41/1.02 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aInfimumOfIn0( Z, Y, X ),
% 0.41/1.02 aElementOf0( Z, X ) }.
% 0.41/1.02 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aInfimumOfIn0( Z, Y, X ), alpha4( X
% 0.41/1.02 , Y, Z ) }.
% 0.41/1.02 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aElementOf0( Z, X ), ! alpha4( X, Y
% 0.41/1.02 , Z ), aInfimumOfIn0( Z, Y, X ) }.
% 0.41/1.02 { ! alpha4( X, Y, Z ), aLowerBoundOfIn0( Z, Y, X ) }.
% 0.41/1.02 { ! alpha4( X, Y, Z ), alpha8( X, Y, Z ) }.
% 0.41/1.02 { ! aLowerBoundOfIn0( Z, Y, X ), ! alpha8( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.41/1.02 { ! alpha8( X, Y, Z ), ! aLowerBoundOfIn0( T, Y, X ), sdtlseqdt0( T, Z ) }
% 0.41/1.02 .
% 0.41/1.02 { ! sdtlseqdt0( skol5( T, U, Z ), Z ), alpha8( X, Y, Z ) }.
% 0.41/1.02 { aLowerBoundOfIn0( skol5( X, Y, Z ), Y, X ), alpha8( X, Y, Z ) }.
% 0.41/1.02 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aSupremumOfIn0( Z, Y, X ),
% 0.41/1.02 aElementOf0( Z, X ) }.
% 0.41/1.02 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aSupremumOfIn0( Z, Y, X ), alpha5(
% 0.41/1.02 X, Y, Z ) }.
% 0.41/1.02 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aElementOf0( Z, X ), ! alpha5( X, Y
% 0.41/1.02 , Z ), aSupremumOfIn0( Z, Y, X ) }.
% 0.41/1.02 { ! alpha5( X, Y, Z ), aUpperBoundOfIn0( Z, Y, X ) }.
% 0.41/1.02 { ! alpha5( X, Y, Z ), alpha9( X, Y, Z ) }.
% 0.41/1.02 { ! aUpperBoundOfIn0( Z, Y, X ), ! alpha9( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.41/1.02 { ! alpha9( X, Y, Z ), ! aUpperBoundOfIn0( T, Y, X ), sdtlseqdt0( Z, T ) }
% 0.41/1.02 .
% 0.41/1.02 { ! sdtlseqdt0( Z, skol6( T, U, Z ) ), alpha9( X, Y, Z ) }.
% 0.41/1.02 { aUpperBoundOfIn0( skol6( X, Y, Z ), Y, X ), alpha9( X, Y, Z ) }.
% 0.41/1.02 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aSupremumOfIn0( Z, Y, X ), !
% 0.41/1.02 aSupremumOfIn0( T, Y, X ), Z = T }.
% 0.41/1.02 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aInfimumOfIn0( Z, Y, X ), !
% 0.41/1.02 aInfimumOfIn0( T, Y, X ), Z = T }.
% 0.41/1.02 { ! aCompleteLattice0( X ), aSet0( X ) }.
% 0.41/1.02 { ! aCompleteLattice0( X ), alpha6( X ) }.
% 0.41/1.02 { ! aSet0( X ), ! alpha6( X ), aCompleteLattice0( X ) }.
% 0.41/1.02 { ! alpha6( X ), ! aSubsetOf0( Y, X ), alpha10( X, Y ) }.
% 0.41/1.02 { aSubsetOf0( skol7( X ), X ), alpha6( X ) }.
% 0.41/1.02 { ! alpha10( X, skol7( X ) ), alpha6( X ) }.
% 0.41/1.02 { ! alpha10( X, Y ), aInfimumOfIn0( skol8( X, Y ), Y, X ) }.
% 0.41/1.02 { ! alpha10( X, Y ), aSupremumOfIn0( skol10( X, Y ), Y, X ) }.
% 0.41/1.02 { ! aInfimumOfIn0( Z, Y, X ), ! aSupremumOfIn0( T, Y, X ), alpha10( X, Y )
% 0.41/1.02 }.
% 0.41/1.02 { && }.
% 0.41/1.02 { ! aFunction0( X ), aSet0( szDzozmdt0( X ) ) }.
% 0.41/1.02 { ! aFunction0( X ), aSet0( szRzazndt0( X ) ) }.
% 0.41/1.02 { ! aFunction0( X ), ! aSet0( Y ), ! isOn0( X, Y ), szDzozmdt0( X ) =
% 0.41/1.02 szRzazndt0( X ) }.
% 0.41/1.02 { ! aFunction0( X ), ! aSet0( Y ), ! isOn0( X, Y ), szRzazndt0( X ) = Y }.
% 0.41/1.02 { ! aFunction0( X ), ! aSet0( Y ), ! szDzozmdt0( X ) = szRzazndt0( X ), !
% 0.41/1.02 szRzazndt0( X ) = Y, isOn0( X, Y ) }.
% 0.41/1.02 { ! aFunction0( X ), ! aElementOf0( Y, szDzozmdt0( X ) ), aElementOf0(
% 0.41/1.02 sdtlpdtrp0( X, Y ), szRzazndt0( X ) ) }.
% 0.41/1.02 { ! aFunction0( X ), ! aFixedPointOf0( Y, X ), aElementOf0( Y, szDzozmdt0(
% 0.41/1.02 X ) ) }.
% 0.41/1.02 { ! aFunction0( X ), ! aFixedPointOf0( Y, X ), sdtlpdtrp0( X, Y ) = Y }.
% 0.41/1.02 { ! aFunction0( X ), ! aElementOf0( Y, szDzozmdt0( X ) ), ! sdtlpdtrp0( X,
% 0.41/1.02 Y ) = Y, aFixedPointOf0( Y, X ) }.
% 0.41/1.02 { ! aFunction0( X ), ! isMonotone0( X ), ! alpha7( X, Y, Z ), alpha11( X, Y
% 0.41/1.02 , Z ) }.
% 0.41/1.02 { ! aFunction0( X ), alpha7( X, skol9( X ), skol11( X ) ), isMonotone0( X )
% 0.41/1.02 }.
% 0.41/1.02 { ! aFunction0( X ), ! alpha11( X, skol9( X ), skol11( X ) ), isMonotone0(
% 0.41/1.02 X ) }.
% 0.41/1.02 { ! alpha11( X, Y, Z ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtlpdtrp0( X, Y
% 0.41/1.02 ), sdtlpdtrp0( X, Z ) ) }.
% 0.41/1.02 { sdtlseqdt0( Y, Z ), alpha11( X, Y, Z ) }.
% 0.41/1.02 { ! sdtlseqdt0( sdtlpdtrp0( X, Y ), sdtlpdtrp0( X, Z ) ), alpha11( X, Y, Z
% 0.41/1.02 ) }.
% 0.41/1.02 { ! alpha7( X, Y, Z ), aElementOf0( Y, szDzozmdt0( X ) ) }.
% 0.41/1.02 { ! alpha7( X, Y, Z ), aElementOf0( Z, szDzozmdt0( X ) ) }.
% 0.41/1.02 { ! aElementOf0( Y, szDzozmdt0( X ) ), ! aElementOf0( Z, szDzozmdt0( X ) )
% 0.41/1.02 , alpha7( X, Y, Z ) }.
% 0.41/1.02 { aCompleteLattice0( xU ) }.
% 0.41/1.02 { aFunction0( xf ) }.
% 0.41/1.02 { isMonotone0( xf ) }.
% 0.41/1.02 { isOn0( xf, xU ) }.
% 0.41/1.02 { xS = cS1142( xf ) }.
% 0.41/1.02 { aSubsetOf0( xT, xS ) }.
% 0.41/1.02 { xP = cS1241( xU, xf, xT ) }.
% 0.41/1.02 { aInfimumOfIn0( xp, xP, xU ) }.
% 0.41/1.02 { aLowerBoundOfIn0( sdtlpdtrp0( xf, xp ), xP, xU ) }.
% 0.41/1.02 { aUpperBoundOfIn0( sdtlpdtrp0( xf, xp ), xT, xU ) }.
% 0.41/1.02 { aFixedPointOf0( xp, xf ) }.
% 0.41/1.02 { aSupremumOfIn0( xp, xT, xS ) }.
% 0.41/1.02 { ! aSupremumOfIn0( X, xT, xS ) }.
% 0.41/1.02
% 0.41/1.02 percentage equality = 0.047414, percentage horn = 0.894118
% 0.41/1.02 This is a problem with some equality
% 0.41/1.02
% 0.41/1.02
% 0.41/1.02
% 0.41/1.02 Options Used:
% 0.41/1.02
% 0.41/1.02 useres = 1
% 0.41/1.02 useparamod = 1
% 0.41/1.02 useeqrefl = 1
% 0.41/1.02 useeqfact = 1
% 0.41/1.02 usefactor = 1
% 0.41/1.02 usesimpsplitting = 0
% 0.41/1.02 usesimpdemod = 5
% 0.41/1.02 usesimpres = 3
% 0.41/1.02
% 0.41/1.02 resimpinuse = 1000
% 0.41/1.02 resimpclauses = 20000
% 0.41/1.02 substype = eqrewr
% 0.41/1.02 backwardsubs = 1
% 0.41/1.02 selectoldest = 5
% 0.41/1.02
% 0.41/1.02 litorderings [0] = split
% 0.41/1.02 litorderings [1] = extend the termordering, first sorting on arguments
% 0.41/1.02
% 0.41/1.02 termordering = kbo
% 0.41/1.02
% 0.41/1.02 litapriori = 0
% 0.41/1.02 termapriori = 1
% 0.41/1.02 litaposteriori = 0
% 0.41/1.02 termaposteriori = 0
% 0.41/1.02 demodaposteriori = 0
% 0.41/1.02 ordereqreflfact = 0
% 0.41/1.02
% 0.41/1.02 litselect = negord
% 0.41/1.02
% 0.41/1.02 maxweight = 15
% 0.41/1.02 maxdepth = 30000
% 0.41/1.02 maxlength = 115
% 0.41/1.02 maxnrvars = 195
% 0.41/1.02 excuselevel = 1
% 0.41/1.02 increasemaxweight = 1
% 0.41/1.02
% 0.41/1.02 maxselected = 10000000
% 0.41/1.02 maxnrclauses = 10000000
% 0.41/1.02
% 0.41/1.02 showgenerated = 0
% 0.41/1.02 showkept = 0
% 0.41/1.02 showselected = 0
% 0.41/1.02 showdeleted = 0
% 0.41/1.02 showresimp = 1
% 0.41/1.02 showstatus = 2000
% 0.41/1.02
% 0.41/1.02 prologoutput = 0
% 0.41/1.02 nrgoals = 5000000
% 0.41/1.02 totalproof = 1
% 0.41/1.02
% 0.41/1.02 Symbols occurring in the translation:
% 0.41/1.02
% 0.41/1.02 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.41/1.02 . [1, 2] (w:1, o:35, a:1, s:1, b:0),
% 0.41/1.02 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.41/1.02 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.41/1.02 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.02 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.02 aSet0 [36, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.41/1.02 aElement0 [37, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.41/1.02 aElementOf0 [39, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.41/1.02 isEmpty0 [40, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.41/1.02 aSubsetOf0 [41, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.41/1.02 sdtlseqdt0 [43, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.41/1.02 aLowerBoundOfIn0 [44, 3] (w:1, o:74, a:1, s:1, b:0),
% 0.41/1.02 aUpperBoundOfIn0 [46, 3] (w:1, o:75, a:1, s:1, b:0),
% 0.41/1.02 aInfimumOfIn0 [47, 3] (w:1, o:76, a:1, s:1, b:0),
% 0.41/1.02 aSupremumOfIn0 [48, 3] (w:1, o:77, a:1, s:1, b:0),
% 0.41/1.02 aCompleteLattice0 [49, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.41/1.02 aFunction0 [50, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.41/1.02 szDzozmdt0 [51, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.41/1.02 szRzazndt0 [52, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.41/1.02 isOn0 [53, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.41/1.02 sdtlpdtrp0 [54, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.41/1.02 aFixedPointOf0 [55, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.41/1.02 isMonotone0 [56, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.41/1.02 xU [57, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.41/1.02 xf [58, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.41/1.02 xS [59, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.41/1.02 cS1142 [60, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.41/1.02 xT [61, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.41/1.02 xP [62, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.41/1.02 cS1241 [63, 3] (w:1, o:78, a:1, s:1, b:0),
% 0.41/1.02 xp [64, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.41/1.02 alpha1 [65, 2] (w:1, o:65, a:1, s:1, b:1),
% 0.41/1.02 alpha2 [66, 2] (w:1, o:67, a:1, s:1, b:1),
% 0.41/1.02 alpha3 [67, 2] (w:1, o:68, a:1, s:1, b:1),
% 0.41/1.02 alpha4 [68, 3] (w:1, o:79, a:1, s:1, b:1),
% 0.41/1.02 alpha5 [69, 3] (w:1, o:80, a:1, s:1, b:1),
% 0.41/1.02 alpha6 [70, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.41/1.02 alpha7 [71, 3] (w:1, o:81, a:1, s:1, b:1),
% 0.41/1.02 alpha8 [72, 3] (w:1, o:82, a:1, s:1, b:1),
% 0.41/1.02 alpha9 [73, 3] (w:1, o:83, a:1, s:1, b:1),
% 0.41/1.02 alpha10 [74, 2] (w:1, o:66, a:1, s:1, b:1),
% 0.41/1.02 alpha11 [75, 3] (w:1, o:84, a:1, s:1, b:1),
% 0.41/1.02 skol1 [76, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.41/1.02 skol2 [77, 2] (w:1, o:70, a:1, s:1, b:1),
% 0.41/1.02 skol3 [78, 2] (w:1, o:71, a:1, s:1, b:1),
% 0.41/1.02 skol4 [79, 2] (w:1, o:72, a:1, s:1, b:1),
% 0.41/1.02 skol5 [80, 3] (w:1, o:85, a:1, s:1, b:1),
% 0.41/1.02 skol6 [81, 3] (w:1, o:86, a:1, s:1, b:1),
% 0.41/1.02 skol7 [82, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.41/1.02 skol8 [83, 2] (w:1, o:73, a:1, s:1, b:1),
% 0.41/1.02 skol9 [84, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.41/1.02 skol10 [85, 2] (w:1, o:69, a:1, s:1, b:1),
% 0.41/1.02 skol11 [86, 1] (w:1, o:34, a:1, s:1, b:1).
% 0.41/1.02
% 0.41/1.02
% 0.41/1.02 Starting Search:
% 0.41/1.02
% 0.41/1.02
% 0.41/1.02 Bliksems!, er is een bewijs:
% 0.41/1.02 % SZS status Theorem
% 0.41/1.02 % SZS output start Refutation
% 0.41/1.02
% 0.41/1.02 (83) {G0,W4,D2,L1,V0,M1} I { aSupremumOfIn0( xp, xT, xS ) }.
% 0.41/1.02 (84) {G0,W4,D2,L1,V1,M1} I { ! aSupremumOfIn0( X, xT, xS ) }.
% 0.41/1.02 (88) {G1,W0,D0,L0,V0,M0} S(83);r(84) { }.
% 0.41/1.02
% 0.41/1.02
% 0.41/1.02 % SZS output end Refutation
% 0.41/1.02 found a proof!
% 0.41/1.02
% 0.41/1.02
% 0.41/1.02 Unprocessed initial clauses:
% 0.41/1.02
% 0.41/1.02 (90) {G0,W1,D1,L1,V0,M1} { && }.
% 0.41/1.02 (91) {G0,W1,D1,L1,V0,M1} { && }.
% 0.41/1.02 (92) {G0,W7,D2,L3,V2,M3} { ! aSet0( X ), ! aElementOf0( Y, X ), aElement0
% 0.41/1.02 ( Y ) }.
% 0.41/1.02 (93) {G0,W7,D2,L3,V2,M3} { ! aSet0( X ), ! isEmpty0( X ), ! aElementOf0( Y
% 0.41/1.02 , X ) }.
% 0.41/1.02 (94) {G0,W8,D3,L3,V1,M3} { ! aSet0( X ), aElementOf0( skol1( X ), X ),
% 0.41/1.02 isEmpty0( X ) }.
% 0.41/1.02 (95) {G0,W7,D2,L3,V2,M3} { ! aSet0( X ), ! aSubsetOf0( Y, X ), aSet0( Y )
% 0.41/1.02 }.
% 0.41/1.02 (96) {G0,W8,D2,L3,V2,M3} { ! aSet0( X ), ! aSubsetOf0( Y, X ), alpha1( X,
% 0.41/1.02 Y ) }.
% 0.41/1.02 (97) {G0,W10,D2,L4,V2,M4} { ! aSet0( X ), ! aSet0( Y ), ! alpha1( X, Y ),
% 0.41/1.02 aSubsetOf0( Y, X ) }.
% 0.41/1.02 (98) {G0,W9,D2,L3,V3,M3} { ! alpha1( X, Y ), ! aElementOf0( Z, Y ),
% 0.41/1.02 aElementOf0( Z, X ) }.
% 0.41/1.02 (99) {G0,W8,D3,L2,V3,M2} { aElementOf0( skol2( Z, Y ), Y ), alpha1( X, Y )
% 0.41/1.02 }.
% 0.41/1.02 (100) {G0,W8,D3,L2,V2,M2} { ! aElementOf0( skol2( X, Y ), X ), alpha1( X,
% 0.41/1.02 Y ) }.
% 0.41/1.02 (101) {G0,W1,D1,L1,V0,M1} { && }.
% 0.41/1.02 (102) {G0,W5,D2,L2,V1,M2} { ! aElement0( X ), sdtlseqdt0( X, X ) }.
% 0.41/1.02 (103) {G0,W13,D2,L5,V2,M5} { ! aElement0( X ), ! aElement0( Y ), !
% 0.41/1.02 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.41/1.02 (104) {G0,W15,D2,L6,V3,M6} { ! aElement0( X ), ! aElement0( Y ), !
% 0.41/1.02 aElement0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X
% 0.41/1.02 , Z ) }.
% 0.41/1.02 (105) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.41/1.02 aLowerBoundOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.41/1.02 (106) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.41/1.02 aLowerBoundOfIn0( Z, Y, X ), alpha2( Y, Z ) }.
% 0.41/1.02 (107) {G0,W15,D2,L5,V3,M5} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.41/1.02 aElementOf0( Z, X ), ! alpha2( Y, Z ), aLowerBoundOfIn0( Z, Y, X ) }.
% 0.41/1.02 (108) {G0,W9,D2,L3,V3,M3} { ! alpha2( X, Y ), ! aElementOf0( Z, X ),
% 0.41/1.02 sdtlseqdt0( Y, Z ) }.
% 0.41/1.02 (109) {G0,W8,D3,L2,V3,M2} { ! sdtlseqdt0( Y, skol3( Z, Y ) ), alpha2( X, Y
% 0.41/1.02 ) }.
% 0.41/1.02 (110) {G0,W8,D3,L2,V2,M2} { aElementOf0( skol3( X, Y ), X ), alpha2( X, Y
% 0.41/1.02 ) }.
% 0.41/1.02 (111) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.41/1.02 aUpperBoundOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.41/1.02 (112) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.41/1.02 aUpperBoundOfIn0( Z, Y, X ), alpha3( Y, Z ) }.
% 0.41/1.02 (113) {G0,W15,D2,L5,V3,M5} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.41/1.02 aElementOf0( Z, X ), ! alpha3( Y, Z ), aUpperBoundOfIn0( Z, Y, X ) }.
% 0.41/1.02 (114) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! aElementOf0( Z, X ),
% 0.41/1.02 sdtlseqdt0( Z, Y ) }.
% 0.41/1.02 (115) {G0,W8,D3,L2,V3,M2} { ! sdtlseqdt0( skol4( Z, Y ), Y ), alpha3( X, Y
% 0.41/1.02 ) }.
% 0.41/1.02 (116) {G0,W8,D3,L2,V2,M2} { aElementOf0( skol4( X, Y ), X ), alpha3( X, Y
% 0.41/1.02 ) }.
% 0.41/1.02 (117) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.41/1.02 aInfimumOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.41/1.02 (118) {G0,W13,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.41/1.02 aInfimumOfIn0( Z, Y, X ), alpha4( X, Y, Z ) }.
% 0.41/1.02 (119) {G0,W16,D2,L5,V3,M5} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.41/1.02 aElementOf0( Z, X ), ! alpha4( X, Y, Z ), aInfimumOfIn0( Z, Y, X ) }.
% 0.41/1.02 (120) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), aLowerBoundOfIn0( Z, Y, X
% 0.41/1.02 ) }.
% 0.41/1.02 (121) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), alpha8( X, Y, Z ) }.
% 0.41/1.02 (122) {G0,W12,D2,L3,V3,M3} { ! aLowerBoundOfIn0( Z, Y, X ), ! alpha8( X, Y
% 0.41/1.02 , Z ), alpha4( X, Y, Z ) }.
% 0.41/1.02 (123) {G0,W11,D2,L3,V4,M3} { ! alpha8( X, Y, Z ), ! aLowerBoundOfIn0( T, Y
% 0.41/1.02 , X ), sdtlseqdt0( T, Z ) }.
% 0.41/1.02 (124) {G0,W10,D3,L2,V5,M2} { ! sdtlseqdt0( skol5( T, U, Z ), Z ), alpha8(
% 0.41/1.02 X, Y, Z ) }.
% 0.41/1.02 (125) {G0,W11,D3,L2,V3,M2} { aLowerBoundOfIn0( skol5( X, Y, Z ), Y, X ),
% 0.41/1.02 alpha8( X, Y, Z ) }.
% 0.41/1.02 (126) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.41/1.02 aSupremumOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.41/1.02 (127) {G0,W13,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.41/1.02 aSupremumOfIn0( Z, Y, X ), alpha5( X, Y, Z ) }.
% 0.41/1.02 (128) {G0,W16,D2,L5,V3,M5} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.41/1.02 aElementOf0( Z, X ), ! alpha5( X, Y, Z ), aSupremumOfIn0( Z, Y, X ) }.
% 0.41/1.02 (129) {G0,W8,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), aUpperBoundOfIn0( Z, Y, X
% 0.41/1.02 ) }.
% 0.41/1.02 (130) {G0,W8,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), alpha9( X, Y, Z ) }.
% 0.41/1.02 (131) {G0,W12,D2,L3,V3,M3} { ! aUpperBoundOfIn0( Z, Y, X ), ! alpha9( X, Y
% 0.41/1.02 , Z ), alpha5( X, Y, Z ) }.
% 0.41/1.02 (132) {G0,W11,D2,L3,V4,M3} { ! alpha9( X, Y, Z ), ! aUpperBoundOfIn0( T, Y
% 0.41/1.02 , X ), sdtlseqdt0( Z, T ) }.
% 0.41/1.02 (133) {G0,W10,D3,L2,V5,M2} { ! sdtlseqdt0( Z, skol6( T, U, Z ) ), alpha9(
% 0.41/1.02 X, Y, Z ) }.
% 0.41/1.02 (134) {G0,W11,D3,L2,V3,M2} { aUpperBoundOfIn0( skol6( X, Y, Z ), Y, X ),
% 0.41/1.02 alpha9( X, Y, Z ) }.
% 0.41/1.02 (135) {G0,W16,D2,L5,V4,M5} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.41/1.02 aSupremumOfIn0( Z, Y, X ), ! aSupremumOfIn0( T, Y, X ), Z = T }.
% 0.41/1.02 (136) {G0,W16,D2,L5,V4,M5} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.41/1.02 aInfimumOfIn0( Z, Y, X ), ! aInfimumOfIn0( T, Y, X ), Z = T }.
% 0.41/1.02 (137) {G0,W4,D2,L2,V1,M2} { ! aCompleteLattice0( X ), aSet0( X ) }.
% 0.41/1.02 (138) {G0,W4,D2,L2,V1,M2} { ! aCompleteLattice0( X ), alpha6( X ) }.
% 0.41/1.02 (139) {G0,W6,D2,L3,V1,M3} { ! aSet0( X ), ! alpha6( X ), aCompleteLattice0
% 0.41/1.02 ( X ) }.
% 0.41/1.02 (140) {G0,W8,D2,L3,V2,M3} { ! alpha6( X ), ! aSubsetOf0( Y, X ), alpha10(
% 0.41/1.02 X, Y ) }.
% 0.41/1.02 (141) {G0,W6,D3,L2,V1,M2} { aSubsetOf0( skol7( X ), X ), alpha6( X ) }.
% 0.41/1.02 (142) {G0,W6,D3,L2,V1,M2} { ! alpha10( X, skol7( X ) ), alpha6( X ) }.
% 0.41/1.02 (143) {G0,W9,D3,L2,V2,M2} { ! alpha10( X, Y ), aInfimumOfIn0( skol8( X, Y
% 0.41/1.02 ), Y, X ) }.
% 0.41/1.02 (144) {G0,W9,D3,L2,V2,M2} { ! alpha10( X, Y ), aSupremumOfIn0( skol10( X,
% 0.41/1.02 Y ), Y, X ) }.
% 0.41/1.02 (145) {G0,W11,D2,L3,V4,M3} { ! aInfimumOfIn0( Z, Y, X ), ! aSupremumOfIn0
% 0.41/1.02 ( T, Y, X ), alpha10( X, Y ) }.
% 0.41/1.02 (146) {G0,W1,D1,L1,V0,M1} { && }.
% 0.41/1.02 (147) {G0,W5,D3,L2,V1,M2} { ! aFunction0( X ), aSet0( szDzozmdt0( X ) )
% 0.41/1.02 }.
% 0.41/1.02 (148) {G0,W5,D3,L2,V1,M2} { ! aFunction0( X ), aSet0( szRzazndt0( X ) )
% 0.41/1.02 }.
% 0.41/1.02 (149) {G0,W12,D3,L4,V2,M4} { ! aFunction0( X ), ! aSet0( Y ), ! isOn0( X,
% 0.41/1.02 Y ), szDzozmdt0( X ) = szRzazndt0( X ) }.
% 0.41/1.02 (150) {G0,W11,D3,L4,V2,M4} { ! aFunction0( X ), ! aSet0( Y ), ! isOn0( X,
% 0.41/1.02 Y ), szRzazndt0( X ) = Y }.
% 0.41/1.02 (151) {G0,W16,D3,L5,V2,M5} { ! aFunction0( X ), ! aSet0( Y ), ! szDzozmdt0
% 0.41/1.02 ( X ) = szRzazndt0( X ), ! szRzazndt0( X ) = Y, isOn0( X, Y ) }.
% 0.41/1.02 (152) {G0,W12,D3,L3,V2,M3} { ! aFunction0( X ), ! aElementOf0( Y,
% 0.41/1.02 szDzozmdt0( X ) ), aElementOf0( sdtlpdtrp0( X, Y ), szRzazndt0( X ) ) }.
% 0.41/1.02 (153) {G0,W9,D3,L3,V2,M3} { ! aFunction0( X ), ! aFixedPointOf0( Y, X ),
% 0.41/1.02 aElementOf0( Y, szDzozmdt0( X ) ) }.
% 0.41/1.02 (154) {G0,W10,D3,L3,V2,M3} { ! aFunction0( X ), ! aFixedPointOf0( Y, X ),
% 0.41/1.02 sdtlpdtrp0( X, Y ) = Y }.
% 0.41/1.02 (155) {G0,W14,D3,L4,V2,M4} { ! aFunction0( X ), ! aElementOf0( Y,
% 0.41/1.02 szDzozmdt0( X ) ), ! sdtlpdtrp0( X, Y ) = Y, aFixedPointOf0( Y, X ) }.
% 0.41/1.02 (156) {G0,W12,D2,L4,V3,M4} { ! aFunction0( X ), ! isMonotone0( X ), !
% 0.41/1.02 alpha7( X, Y, Z ), alpha11( X, Y, Z ) }.
% 0.41/1.02 (157) {G0,W10,D3,L3,V1,M3} { ! aFunction0( X ), alpha7( X, skol9( X ),
% 0.41/1.02 skol11( X ) ), isMonotone0( X ) }.
% 0.41/1.02 (158) {G0,W10,D3,L3,V1,M3} { ! aFunction0( X ), ! alpha11( X, skol9( X ),
% 0.41/1.02 skol11( X ) ), isMonotone0( X ) }.
% 0.41/1.02 (159) {G0,W14,D3,L3,V3,M3} { ! alpha11( X, Y, Z ), ! sdtlseqdt0( Y, Z ),
% 0.41/1.02 sdtlseqdt0( sdtlpdtrp0( X, Y ), sdtlpdtrp0( X, Z ) ) }.
% 0.41/1.02 (160) {G0,W7,D2,L2,V3,M2} { sdtlseqdt0( Y, Z ), alpha11( X, Y, Z ) }.
% 0.41/1.02 (161) {G0,W11,D3,L2,V3,M2} { ! sdtlseqdt0( sdtlpdtrp0( X, Y ), sdtlpdtrp0
% 0.41/1.02 ( X, Z ) ), alpha11( X, Y, Z ) }.
% 0.41/1.02 (162) {G0,W8,D3,L2,V3,M2} { ! alpha7( X, Y, Z ), aElementOf0( Y,
% 0.41/1.02 szDzozmdt0( X ) ) }.
% 0.41/1.02 (163) {G0,W8,D3,L2,V3,M2} { ! alpha7( X, Y, Z ), aElementOf0( Z,
% 0.41/1.02 szDzozmdt0( X ) ) }.
% 0.41/1.02 (164) {G0,W12,D3,L3,V3,M3} { ! aElementOf0( Y, szDzozmdt0( X ) ), !
% 0.41/1.02 aElementOf0( Z, szDzozmdt0( X ) ), alpha7( X, Y, Z ) }.
% 0.41/1.02 (165) {G0,W2,D2,L1,V0,M1} { aCompleteLattice0( xU ) }.
% 0.41/1.02 (166) {G0,W2,D2,L1,V0,M1} { aFunction0( xf ) }.
% 0.41/1.02 (167) {G0,W2,D2,L1,V0,M1} { isMonotone0( xf ) }.
% 0.41/1.02 (168) {G0,W3,D2,L1,V0,M1} { isOn0( xf, xU ) }.
% 0.41/1.02 (169) {G0,W4,D3,L1,V0,M1} { xS = cS1142( xf ) }.
% 0.41/1.02 (170) {G0,W3,D2,L1,V0,M1} { aSubsetOf0( xT, xS ) }.
% 0.41/1.02 (171) {G0,W6,D3,L1,V0,M1} { xP = cS1241( xU, xf, xT ) }.
% 0.41/1.02 (172) {G0,W4,D2,L1,V0,M1} { aInfimumOfIn0( xp, xP, xU ) }.
% 0.41/1.02 (173) {G0,W6,D3,L1,V0,M1} { aLowerBoundOfIn0( sdtlpdtrp0( xf, xp ), xP, xU
% 0.41/1.02 ) }.
% 0.41/1.02 (174) {G0,W6,D3,L1,V0,M1} { aUpperBoundOfIn0( sdtlpdtrp0( xf, xp ), xT, xU
% 0.41/1.02 ) }.
% 0.41/1.02 (175) {G0,W3,D2,L1,V0,M1} { aFixedPointOf0( xp, xf ) }.
% 0.41/1.02 (176) {G0,W4,D2,L1,V0,M1} { aSupremumOfIn0( xp, xT, xS ) }.
% 0.41/1.02 (177) {G0,W4,D2,L1,V1,M1} { ! aSupremumOfIn0( X, xT, xS ) }.
% 0.41/1.02
% 0.41/1.02
% 0.41/1.02 Total Proof:
% 0.41/1.02
% 0.41/1.02 subsumption: (83) {G0,W4,D2,L1,V0,M1} I { aSupremumOfIn0( xp, xT, xS ) }.
% 0.41/1.02 parent0: (176) {G0,W4,D2,L1,V0,M1} { aSupremumOfIn0( xp, xT, xS ) }.
% 0.41/1.02 substitution0:
% 0.41/1.02 end
% 0.41/1.02 permutation0:
% 0.41/1.02 0 ==> 0
% 0.41/1.02 end
% 0.41/1.02
% 0.41/1.02 subsumption: (84) {G0,W4,D2,L1,V1,M1} I { ! aSupremumOfIn0( X, xT, xS ) }.
% 0.41/1.02 parent0: (177) {G0,W4,D2,L1,V1,M1} { ! aSupremumOfIn0( X, xT, xS ) }.
% 0.41/1.02 substitution0:
% 0.41/1.02 X := X
% 0.41/1.02 end
% 0.41/1.02 permutation0:
% 0.41/1.02 0 ==> 0
% 0.41/1.02 end
% 0.41/1.02
% 0.41/1.02 resolution: (226) {G1,W0,D0,L0,V0,M0} { }.
% 0.41/1.02 parent0[0]: (84) {G0,W4,D2,L1,V1,M1} I { ! aSupremumOfIn0( X, xT, xS ) }.
% 0.41/1.02 parent1[0]: (83) {G0,W4,D2,L1,V0,M1} I { aSupremumOfIn0( xp, xT, xS ) }.
% 0.41/1.02 substitution0:
% 0.41/1.02 X := xp
% 0.41/1.02 end
% 0.41/1.02 substitution1:
% 0.41/1.02 end
% 0.41/1.02
% 0.41/1.02 subsumption: (88) {G1,W0,D0,L0,V0,M0} S(83);r(84) { }.
% 0.41/1.02 parent0: (226) {G1,W0,D0,L0,V0,M0} { }.
% 0.41/1.02 substitution0:
% 0.41/1.02 end
% 0.41/1.02 permutation0:
% 0.41/1.02 end
% 0.41/1.02
% 0.41/1.02 Proof check complete!
% 0.41/1.02
% 0.41/1.02 Memory use:
% 0.41/1.02
% 0.41/1.02 space for terms: 2697
% 0.41/1.02 space for clauses: 5280
% 0.41/1.02
% 0.41/1.02
% 0.41/1.02 clauses generated: 100
% 0.41/1.02 clauses kept: 89
% 0.41/1.02 clauses selected: 9
% 0.41/1.02 clauses deleted: 1
% 0.41/1.02 clauses inuse deleted: 0
% 0.41/1.02
% 0.41/1.02 subsentry: 204
% 0.41/1.02 literals s-matched: 116
% 0.41/1.02 literals matched: 109
% 0.41/1.02 full subsumption: 20
% 0.41/1.02
% 0.41/1.02 checksum: 1403395589
% 0.41/1.02
% 0.41/1.02
% 0.41/1.02 Bliksem ended
%------------------------------------------------------------------------------