TSTP Solution File: LAT382+3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LAT382+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 03:51:50 EDT 2022
% Result : Theorem 0.73s 1.12s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT382+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n016.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 : Wed Jun 29 12:31:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.73/1.12 *** allocated 10000 integers for termspace/termends
% 0.73/1.12 *** allocated 10000 integers for clauses
% 0.73/1.12 *** allocated 10000 integers for justifications
% 0.73/1.12 Bliksem 1.12
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Automatic Strategy Selection
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Clauses:
% 0.73/1.12
% 0.73/1.12 { && }.
% 0.73/1.12 { && }.
% 0.73/1.12 { ! aSet0( X ), ! aElementOf0( Y, X ), aElement0( Y ) }.
% 0.73/1.12 { ! aSet0( X ), ! isEmpty0( X ), ! aElementOf0( Y, X ) }.
% 0.73/1.12 { ! aSet0( X ), aElementOf0( skol1( X ), X ), isEmpty0( X ) }.
% 0.73/1.12 { ! aSet0( X ), ! aSubsetOf0( Y, X ), aSet0( Y ) }.
% 0.73/1.12 { ! aSet0( X ), ! aSubsetOf0( Y, X ), alpha1( X, Y ) }.
% 0.73/1.12 { ! aSet0( X ), ! aSet0( Y ), ! alpha1( X, Y ), aSubsetOf0( Y, X ) }.
% 0.73/1.12 { ! alpha1( X, Y ), ! aElementOf0( Z, Y ), aElementOf0( Z, X ) }.
% 0.73/1.12 { aElementOf0( skol2( Z, Y ), Y ), alpha1( X, Y ) }.
% 0.73/1.12 { ! aElementOf0( skol2( X, Y ), X ), alpha1( X, Y ) }.
% 0.73/1.12 { && }.
% 0.73/1.12 { ! aElement0( X ), sdtlseqdt0( X, X ) }.
% 0.73/1.12 { ! aElement0( X ), ! aElement0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y
% 0.73/1.12 , X ), X = Y }.
% 0.73/1.12 { ! aElement0( X ), ! aElement0( Y ), ! aElement0( Z ), ! sdtlseqdt0( X, Y
% 0.73/1.12 ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.73/1.12 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aLowerBoundOfIn0( Z, Y, X ),
% 0.73/1.12 aElementOf0( Z, X ) }.
% 0.73/1.12 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aLowerBoundOfIn0( Z, Y, X ), alpha2
% 0.73/1.12 ( Y, Z ) }.
% 0.73/1.12 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aElementOf0( Z, X ), ! alpha2( Y, Z
% 0.73/1.12 ), aLowerBoundOfIn0( Z, Y, X ) }.
% 0.73/1.12 { ! alpha2( X, Y ), ! aElementOf0( Z, X ), sdtlseqdt0( Y, Z ) }.
% 0.73/1.12 { ! sdtlseqdt0( Y, skol3( Z, Y ) ), alpha2( X, Y ) }.
% 0.73/1.12 { aElementOf0( skol3( X, Y ), X ), alpha2( X, Y ) }.
% 0.73/1.12 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aUpperBoundOfIn0( Z, Y, X ),
% 0.73/1.12 aElementOf0( Z, X ) }.
% 0.73/1.12 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aUpperBoundOfIn0( Z, Y, X ), alpha3
% 0.73/1.12 ( Y, Z ) }.
% 0.73/1.12 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aElementOf0( Z, X ), ! alpha3( Y, Z
% 0.73/1.12 ), aUpperBoundOfIn0( Z, Y, X ) }.
% 0.73/1.12 { ! alpha3( X, Y ), ! aElementOf0( Z, X ), sdtlseqdt0( Z, Y ) }.
% 0.73/1.12 { ! sdtlseqdt0( skol4( Z, Y ), Y ), alpha3( X, Y ) }.
% 0.73/1.12 { aElementOf0( skol4( X, Y ), X ), alpha3( X, Y ) }.
% 0.73/1.12 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aInfimumOfIn0( Z, Y, X ),
% 0.73/1.12 aElementOf0( Z, X ) }.
% 0.73/1.12 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aInfimumOfIn0( Z, Y, X ), alpha4( X
% 0.73/1.12 , Y, Z ) }.
% 0.73/1.12 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aElementOf0( Z, X ), ! alpha4( X, Y
% 0.73/1.12 , Z ), aInfimumOfIn0( Z, Y, X ) }.
% 0.73/1.12 { ! alpha4( X, Y, Z ), aLowerBoundOfIn0( Z, Y, X ) }.
% 0.73/1.12 { ! alpha4( X, Y, Z ), alpha6( X, Y, Z ) }.
% 0.73/1.12 { ! aLowerBoundOfIn0( Z, Y, X ), ! alpha6( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.73/1.12 { ! alpha6( X, Y, Z ), ! aLowerBoundOfIn0( T, Y, X ), sdtlseqdt0( T, Z ) }
% 0.73/1.12 .
% 0.73/1.12 { ! sdtlseqdt0( skol5( T, U, Z ), Z ), alpha6( X, Y, Z ) }.
% 0.73/1.12 { aLowerBoundOfIn0( skol5( X, Y, Z ), Y, X ), alpha6( X, Y, Z ) }.
% 0.73/1.12 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aSupremumOfIn0( Z, Y, X ),
% 0.73/1.12 aElementOf0( Z, X ) }.
% 0.73/1.12 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aSupremumOfIn0( Z, Y, X ), alpha5(
% 0.73/1.12 X, Y, Z ) }.
% 0.73/1.12 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aElementOf0( Z, X ), ! alpha5( X, Y
% 0.73/1.12 , Z ), aSupremumOfIn0( Z, Y, X ) }.
% 0.73/1.12 { ! alpha5( X, Y, Z ), aUpperBoundOfIn0( Z, Y, X ) }.
% 0.73/1.12 { ! alpha5( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.73/1.12 { ! aUpperBoundOfIn0( Z, Y, X ), ! alpha7( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.73/1.12 { ! alpha7( X, Y, Z ), ! aUpperBoundOfIn0( T, Y, X ), sdtlseqdt0( Z, T ) }
% 0.73/1.12 .
% 0.73/1.12 { ! sdtlseqdt0( Z, skol6( T, U, Z ) ), alpha7( X, Y, Z ) }.
% 0.73/1.12 { aUpperBoundOfIn0( skol6( X, Y, Z ), Y, X ), alpha7( X, Y, Z ) }.
% 0.73/1.12 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aSupremumOfIn0( Z, Y, X ), !
% 0.73/1.12 aSupremumOfIn0( T, Y, X ), Z = T }.
% 0.73/1.12 { aSet0( xT ) }.
% 0.73/1.12 { aSet0( xS ) }.
% 0.73/1.12 { ! aElementOf0( X, xS ), aElementOf0( X, xT ) }.
% 0.73/1.12 { aSubsetOf0( xS, xT ) }.
% 0.73/1.12 { aElementOf0( xu, xT ) }.
% 0.73/1.12 { aElementOf0( xu, xT ) }.
% 0.73/1.12 { ! aElementOf0( X, xS ), sdtlseqdt0( xu, X ) }.
% 0.73/1.12 { aLowerBoundOfIn0( xu, xS, xT ) }.
% 0.73/1.12 { alpha8( X ), sdtlseqdt0( X, xu ) }.
% 0.73/1.12 { aInfimumOfIn0( xu, xS, xT ) }.
% 0.73/1.12 { aElementOf0( xv, xT ) }.
% 0.73/1.12 { aElementOf0( xv, xT ) }.
% 0.73/1.12 { ! aElementOf0( X, xS ), sdtlseqdt0( xv, X ) }.
% 0.73/1.12 { aLowerBoundOfIn0( xv, xS, xT ) }.
% 0.73/1.12 { ! aElementOf0( X, xT ), aElementOf0( skol7( Y ), xS ), sdtlseqdt0( X, xv
% 0.73/1.12 ) }.
% 0.73/1.12 { ! aElementOf0( X, xT ), ! sdtlseqdt0( X, skol7( X ) ), sdtlseqdt0( X, xv
% 0.73/1.12 ) }.
% 0.73/1.12 { ! aLowerBoundOfIn0( X, xS, xT ), sdtlseqdt0( X, xv ) }.
% 0.73/1.12 { aInfimumOfIn0( xv, xS, xT ) }.
% 0.73/1.12 { ! alpha8( X ), alpha9( X ) }.
% 0.73/1.12 { ! alpha8( X ), ! aLowerBoundOfIn0( X, xS, xT ) }.
% 0.73/1.12 { ! alpha9( X ), aLowerBoundOfIn0( X, xS, xT ), alpha8( X ) }.
% 0.73/1.12 { ! alpha9( X ), ! aElementOf0( X, xT ), aElementOf0( skol8( Y ), xS ) }.
% 0.73/1.12 { ! alpha9( X ), ! aElementOf0( X, xT ), ! sdtlseqdt0( X, skol8( X ) ) }.
% 0.73/1.12 { aElementOf0( X, xT ), alpha9( X ) }.
% 0.73/1.12 { ! aElementOf0( Y, xS ), sdtlseqdt0( X, Y ), alpha9( X ) }.
% 0.73/1.12 { ! xu = xv }.
% 0.73/1.12
% 0.73/1.12 percentage equality = 0.016393, percentage horn = 0.838235
% 0.73/1.12 This is a problem with some equality
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Options Used:
% 0.73/1.12
% 0.73/1.12 useres = 1
% 0.73/1.12 useparamod = 1
% 0.73/1.12 useeqrefl = 1
% 0.73/1.12 useeqfact = 1
% 0.73/1.12 usefactor = 1
% 0.73/1.12 usesimpsplitting = 0
% 0.73/1.12 usesimpdemod = 5
% 0.73/1.12 usesimpres = 3
% 0.73/1.12
% 0.73/1.12 resimpinuse = 1000
% 0.73/1.12 resimpclauses = 20000
% 0.73/1.12 substype = eqrewr
% 0.73/1.12 backwardsubs = 1
% 0.73/1.12 selectoldest = 5
% 0.73/1.12
% 0.73/1.12 litorderings [0] = split
% 0.73/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.12
% 0.73/1.12 termordering = kbo
% 0.73/1.12
% 0.73/1.12 litapriori = 0
% 0.73/1.12 termapriori = 1
% 0.73/1.12 litaposteriori = 0
% 0.73/1.12 termaposteriori = 0
% 0.73/1.12 demodaposteriori = 0
% 0.73/1.12 ordereqreflfact = 0
% 0.73/1.12
% 0.73/1.12 litselect = negord
% 0.73/1.12
% 0.73/1.12 maxweight = 15
% 0.73/1.12 maxdepth = 30000
% 0.73/1.12 maxlength = 115
% 0.73/1.12 maxnrvars = 195
% 0.73/1.12 excuselevel = 1
% 0.73/1.12 increasemaxweight = 1
% 0.73/1.12
% 0.73/1.12 maxselected = 10000000
% 0.73/1.12 maxnrclauses = 10000000
% 0.73/1.12
% 0.73/1.12 showgenerated = 0
% 0.73/1.12 showkept = 0
% 0.73/1.12 showselected = 0
% 0.73/1.12 showdeleted = 0
% 0.73/1.12 showresimp = 1
% 0.73/1.12 showstatus = 2000
% 0.73/1.12
% 0.73/1.12 prologoutput = 0
% 0.73/1.12 nrgoals = 5000000
% 0.73/1.12 totalproof = 1
% 0.73/1.12
% 0.73/1.12 Symbols occurring in the translation:
% 0.73/1.12
% 0.73/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.12 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.73/1.12 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.73/1.12 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.73/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.12 aSet0 [36, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.73/1.12 aElement0 [37, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.73/1.12 aElementOf0 [39, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.73/1.12 isEmpty0 [40, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.73/1.12 aSubsetOf0 [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.73/1.12 sdtlseqdt0 [43, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.73/1.12 aLowerBoundOfIn0 [44, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.73/1.12 aUpperBoundOfIn0 [46, 3] (w:1, o:61, a:1, s:1, b:0),
% 0.73/1.12 aInfimumOfIn0 [47, 3] (w:1, o:62, a:1, s:1, b:0),
% 0.73/1.12 aSupremumOfIn0 [48, 3] (w:1, o:63, a:1, s:1, b:0),
% 0.73/1.12 xT [49, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.73/1.12 xS [50, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.73/1.12 xu [51, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.73/1.12 xv [52, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.73/1.12 alpha1 [53, 2] (w:1, o:54, a:1, s:1, b:1),
% 0.73/1.12 alpha2 [54, 2] (w:1, o:55, a:1, s:1, b:1),
% 0.73/1.12 alpha3 [55, 2] (w:1, o:56, a:1, s:1, b:1),
% 0.73/1.12 alpha4 [56, 3] (w:1, o:64, a:1, s:1, b:1),
% 0.73/1.12 alpha5 [57, 3] (w:1, o:65, a:1, s:1, b:1),
% 0.73/1.12 alpha6 [58, 3] (w:1, o:66, a:1, s:1, b:1),
% 0.73/1.12 alpha7 [59, 3] (w:1, o:67, a:1, s:1, b:1),
% 0.73/1.12 alpha8 [60, 1] (w:1, o:22, a:1, s:1, b:1),
% 0.73/1.12 alpha9 [61, 1] (w:1, o:23, a:1, s:1, b:1),
% 0.73/1.12 skol1 [62, 1] (w:1, o:24, a:1, s:1, b:1),
% 0.73/1.12 skol2 [63, 2] (w:1, o:57, a:1, s:1, b:1),
% 0.73/1.12 skol3 [64, 2] (w:1, o:58, a:1, s:1, b:1),
% 0.73/1.12 skol4 [65, 2] (w:1, o:59, a:1, s:1, b:1),
% 0.73/1.12 skol5 [66, 3] (w:1, o:68, a:1, s:1, b:1),
% 0.73/1.12 skol6 [67, 3] (w:1, o:69, a:1, s:1, b:1),
% 0.73/1.12 skol7 [68, 1] (w:1, o:25, a:1, s:1, b:1),
% 0.73/1.12 skol8 [69, 1] (w:1, o:26, a:1, s:1, b:1).
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Starting Search:
% 0.73/1.12
% 0.73/1.12 *** allocated 15000 integers for clauses
% 0.73/1.12 *** allocated 22500 integers for clauses
% 0.73/1.12 *** allocated 33750 integers for clauses
% 0.73/1.12 *** allocated 15000 integers for termspace/termends
% 0.73/1.12 *** allocated 50625 integers for clauses
% 0.73/1.12 Resimplifying inuse:
% 0.73/1.12 Done
% 0.73/1.12
% 0.73/1.12 *** allocated 22500 integers for termspace/termends
% 0.73/1.12 *** allocated 75937 integers for clauses
% 0.73/1.12
% 0.73/1.12 Bliksems!, er is een bewijs:
% 0.73/1.12 % SZS status Theorem
% 0.73/1.12 % SZS output start Refutation
% 0.73/1.12
% 0.73/1.12 (1) {G0,W7,D2,L3,V2,M3} I { ! aSet0( X ), ! aElementOf0( Y, X ), aElement0
% 0.73/1.12 ( Y ) }.
% 0.73/1.12 (11) {G0,W13,D2,L5,V2,M5} I { ! aElement0( X ), ! aElement0( Y ), !
% 0.73/1.12 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.73/1.12 (22) {G0,W9,D2,L3,V3,M3} I { ! alpha3( X, Y ), ! aElementOf0( Z, X ),
% 0.73/1.12 sdtlseqdt0( Z, Y ) }.
% 0.73/1.12 (23) {G0,W8,D3,L2,V3,M2} I { ! sdtlseqdt0( skol4( Z, Y ), Y ), alpha3( X, Y
% 0.73/1.12 ) }.
% 0.73/1.12 (24) {G0,W8,D3,L2,V2,M2} I { aElementOf0( skol4( X, Y ), X ), alpha3( X, Y
% 0.73/1.12 ) }.
% 0.73/1.12 (44) {G0,W2,D2,L1,V0,M1} I { aSet0( xT ) }.
% 0.73/1.12 (48) {G0,W3,D2,L1,V0,M1} I { aElementOf0( xu, xT ) }.
% 0.73/1.12 (49) {G0,W6,D2,L2,V1,M2} I { ! aElementOf0( X, xS ), sdtlseqdt0( xu, X )
% 0.73/1.12 }.
% 0.73/1.12 (51) {G0,W5,D2,L2,V1,M2} I { alpha8( X ), sdtlseqdt0( X, xu ) }.
% 0.73/1.12 (53) {G0,W3,D2,L1,V0,M1} I { aElementOf0( xv, xT ) }.
% 0.73/1.12 (55) {G0,W4,D2,L1,V0,M1} I { aLowerBoundOfIn0( xv, xS, xT ) }.
% 0.73/1.12 (56) {G0,W10,D3,L3,V2,M3} I { ! aElementOf0( X, xT ), aElementOf0( skol7( Y
% 0.73/1.12 ), xS ), sdtlseqdt0( X, xv ) }.
% 0.73/1.12 (57) {G0,W10,D3,L3,V1,M3} I { ! aElementOf0( X, xT ), ! sdtlseqdt0( X,
% 0.73/1.12 skol7( X ) ), sdtlseqdt0( X, xv ) }.
% 0.73/1.12 (61) {G0,W6,D2,L2,V1,M2} I { ! alpha8( X ), ! aLowerBoundOfIn0( X, xS, xT )
% 0.73/1.12 }.
% 0.73/1.12 (67) {G0,W3,D2,L1,V0,M1} I { ! xv ==> xu }.
% 0.73/1.12 (69) {G1,W2,D2,L1,V0,M1} R(1,53);r(44) { aElement0( xv ) }.
% 0.73/1.12 (72) {G1,W2,D2,L1,V0,M1} R(48,1);r(44) { aElement0( xu ) }.
% 0.73/1.12 (221) {G2,W11,D2,L4,V1,M4} P(11,67);r(69) { ! X = xu, ! aElement0( X ), !
% 0.73/1.12 sdtlseqdt0( xv, X ), ! sdtlseqdt0( X, xv ) }.
% 0.73/1.12 (224) {G3,W6,D2,L2,V0,M2} Q(221);r(72) { ! sdtlseqdt0( xv, xu ), !
% 0.73/1.12 sdtlseqdt0( xu, xv ) }.
% 0.73/1.12 (282) {G1,W2,D2,L1,V0,M1} R(61,55) { ! alpha8( xv ) }.
% 0.73/1.12 (285) {G2,W3,D2,L1,V0,M1} R(282,51) { sdtlseqdt0( xv, xu ) }.
% 0.73/1.12 (418) {G4,W3,D2,L1,V0,M1} S(224);r(285) { ! sdtlseqdt0( xu, xv ) }.
% 0.73/1.12 (580) {G5,W6,D2,L2,V1,M2} R(22,418) { ! alpha3( X, xv ), ! aElementOf0( xu
% 0.73/1.12 , X ) }.
% 0.73/1.12 (603) {G6,W3,D2,L1,V0,M1} R(580,48) { ! alpha3( xT, xv ) }.
% 0.73/1.12 (610) {G7,W5,D3,L1,V1,M1} R(23,603) { ! sdtlseqdt0( skol4( X, xv ), xv )
% 0.73/1.12 }.
% 0.73/1.12 (641) {G7,W5,D3,L1,V0,M1} R(24,603) { aElementOf0( skol4( xT, xv ), xT )
% 0.73/1.12 }.
% 0.73/1.12 (1292) {G8,W4,D3,L1,V1,M1} R(56,641);r(610) { aElementOf0( skol7( X ), xS )
% 0.73/1.12 }.
% 0.73/1.12 (1316) {G9,W4,D3,L1,V1,M1} R(1292,49) { sdtlseqdt0( xu, skol7( X ) ) }.
% 0.73/1.12 (1377) {G10,W3,D2,L1,V0,M1} R(57,48);r(1316) { sdtlseqdt0( xu, xv ) }.
% 0.73/1.12 (1383) {G11,W0,D0,L0,V0,M0} S(1377);r(418) { }.
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 % SZS output end Refutation
% 0.73/1.12 found a proof!
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Unprocessed initial clauses:
% 0.73/1.12
% 0.73/1.12 (1385) {G0,W1,D1,L1,V0,M1} { && }.
% 0.73/1.12 (1386) {G0,W1,D1,L1,V0,M1} { && }.
% 0.73/1.12 (1387) {G0,W7,D2,L3,V2,M3} { ! aSet0( X ), ! aElementOf0( Y, X ),
% 0.73/1.12 aElement0( Y ) }.
% 0.73/1.12 (1388) {G0,W7,D2,L3,V2,M3} { ! aSet0( X ), ! isEmpty0( X ), ! aElementOf0
% 0.73/1.12 ( Y, X ) }.
% 0.73/1.12 (1389) {G0,W8,D3,L3,V1,M3} { ! aSet0( X ), aElementOf0( skol1( X ), X ),
% 0.73/1.12 isEmpty0( X ) }.
% 0.73/1.12 (1390) {G0,W7,D2,L3,V2,M3} { ! aSet0( X ), ! aSubsetOf0( Y, X ), aSet0( Y
% 0.73/1.12 ) }.
% 0.73/1.12 (1391) {G0,W8,D2,L3,V2,M3} { ! aSet0( X ), ! aSubsetOf0( Y, X ), alpha1( X
% 0.73/1.12 , Y ) }.
% 0.73/1.12 (1392) {G0,W10,D2,L4,V2,M4} { ! aSet0( X ), ! aSet0( Y ), ! alpha1( X, Y )
% 0.73/1.12 , aSubsetOf0( Y, X ) }.
% 0.73/1.12 (1393) {G0,W9,D2,L3,V3,M3} { ! alpha1( X, Y ), ! aElementOf0( Z, Y ),
% 0.73/1.12 aElementOf0( Z, X ) }.
% 0.73/1.12 (1394) {G0,W8,D3,L2,V3,M2} { aElementOf0( skol2( Z, Y ), Y ), alpha1( X, Y
% 0.73/1.12 ) }.
% 0.73/1.12 (1395) {G0,W8,D3,L2,V2,M2} { ! aElementOf0( skol2( X, Y ), X ), alpha1( X
% 0.73/1.12 , Y ) }.
% 0.73/1.12 (1396) {G0,W1,D1,L1,V0,M1} { && }.
% 0.73/1.12 (1397) {G0,W5,D2,L2,V1,M2} { ! aElement0( X ), sdtlseqdt0( X, X ) }.
% 0.73/1.12 (1398) {G0,W13,D2,L5,V2,M5} { ! aElement0( X ), ! aElement0( Y ), !
% 0.73/1.12 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.73/1.12 (1399) {G0,W15,D2,L6,V3,M6} { ! aElement0( X ), ! aElement0( Y ), !
% 0.73/1.12 aElement0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X
% 0.73/1.12 , Z ) }.
% 0.73/1.12 (1400) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.73/1.12 aLowerBoundOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.73/1.12 (1401) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.73/1.12 aLowerBoundOfIn0( Z, Y, X ), alpha2( Y, Z ) }.
% 0.73/1.12 (1402) {G0,W15,D2,L5,V3,M5} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.73/1.12 aElementOf0( Z, X ), ! alpha2( Y, Z ), aLowerBoundOfIn0( Z, Y, X ) }.
% 0.73/1.12 (1403) {G0,W9,D2,L3,V3,M3} { ! alpha2( X, Y ), ! aElementOf0( Z, X ),
% 0.73/1.12 sdtlseqdt0( Y, Z ) }.
% 0.73/1.12 (1404) {G0,W8,D3,L2,V3,M2} { ! sdtlseqdt0( Y, skol3( Z, Y ) ), alpha2( X,
% 0.73/1.12 Y ) }.
% 0.73/1.12 (1405) {G0,W8,D3,L2,V2,M2} { aElementOf0( skol3( X, Y ), X ), alpha2( X, Y
% 0.73/1.12 ) }.
% 0.73/1.12 (1406) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.73/1.12 aUpperBoundOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.73/1.12 (1407) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.73/1.12 aUpperBoundOfIn0( Z, Y, X ), alpha3( Y, Z ) }.
% 0.73/1.12 (1408) {G0,W15,D2,L5,V3,M5} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.73/1.12 aElementOf0( Z, X ), ! alpha3( Y, Z ), aUpperBoundOfIn0( Z, Y, X ) }.
% 0.73/1.12 (1409) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! aElementOf0( Z, X ),
% 0.73/1.12 sdtlseqdt0( Z, Y ) }.
% 0.73/1.12 (1410) {G0,W8,D3,L2,V3,M2} { ! sdtlseqdt0( skol4( Z, Y ), Y ), alpha3( X,
% 0.73/1.12 Y ) }.
% 0.73/1.12 (1411) {G0,W8,D3,L2,V2,M2} { aElementOf0( skol4( X, Y ), X ), alpha3( X, Y
% 0.73/1.12 ) }.
% 0.73/1.12 (1412) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.73/1.12 aInfimumOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.73/1.12 (1413) {G0,W13,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.73/1.12 aInfimumOfIn0( Z, Y, X ), alpha4( X, Y, Z ) }.
% 0.73/1.12 (1414) {G0,W16,D2,L5,V3,M5} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.73/1.12 aElementOf0( Z, X ), ! alpha4( X, Y, Z ), aInfimumOfIn0( Z, Y, X ) }.
% 0.73/1.12 (1415) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), aLowerBoundOfIn0( Z, Y,
% 0.73/1.12 X ) }.
% 0.73/1.12 (1416) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), alpha6( X, Y, Z ) }.
% 0.73/1.12 (1417) {G0,W12,D2,L3,V3,M3} { ! aLowerBoundOfIn0( Z, Y, X ), ! alpha6( X,
% 0.73/1.12 Y, Z ), alpha4( X, Y, Z ) }.
% 0.73/1.12 (1418) {G0,W11,D2,L3,V4,M3} { ! alpha6( X, Y, Z ), ! aLowerBoundOfIn0( T,
% 0.73/1.12 Y, X ), sdtlseqdt0( T, Z ) }.
% 0.73/1.12 (1419) {G0,W10,D3,L2,V5,M2} { ! sdtlseqdt0( skol5( T, U, Z ), Z ), alpha6
% 0.73/1.12 ( X, Y, Z ) }.
% 0.73/1.12 (1420) {G0,W11,D3,L2,V3,M2} { aLowerBoundOfIn0( skol5( X, Y, Z ), Y, X ),
% 0.73/1.12 alpha6( X, Y, Z ) }.
% 0.73/1.12 (1421) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.73/1.12 aSupremumOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.73/1.12 (1422) {G0,W13,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.73/1.12 aSupremumOfIn0( Z, Y, X ), alpha5( X, Y, Z ) }.
% 0.73/1.12 (1423) {G0,W16,D2,L5,V3,M5} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.73/1.12 aElementOf0( Z, X ), ! alpha5( X, Y, Z ), aSupremumOfIn0( Z, Y, X ) }.
% 0.73/1.12 (1424) {G0,W8,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), aUpperBoundOfIn0( Z, Y,
% 0.73/1.12 X ) }.
% 0.73/1.12 (1425) {G0,W8,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.73/1.12 (1426) {G0,W12,D2,L3,V3,M3} { ! aUpperBoundOfIn0( Z, Y, X ), ! alpha7( X,
% 0.73/1.12 Y, Z ), alpha5( X, Y, Z ) }.
% 0.73/1.12 (1427) {G0,W11,D2,L3,V4,M3} { ! alpha7( X, Y, Z ), ! aUpperBoundOfIn0( T,
% 0.73/1.12 Y, X ), sdtlseqdt0( Z, T ) }.
% 0.73/1.12 (1428) {G0,W10,D3,L2,V5,M2} { ! sdtlseqdt0( Z, skol6( T, U, Z ) ), alpha7
% 0.73/1.12 ( X, Y, Z ) }.
% 0.73/1.12 (1429) {G0,W11,D3,L2,V3,M2} { aUpperBoundOfIn0( skol6( X, Y, Z ), Y, X ),
% 0.73/1.12 alpha7( X, Y, Z ) }.
% 0.73/1.12 (1430) {G0,W16,D2,L5,V4,M5} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.73/1.12 aSupremumOfIn0( Z, Y, X ), ! aSupremumOfIn0( T, Y, X ), Z = T }.
% 0.73/1.12 (1431) {G0,W2,D2,L1,V0,M1} { aSet0( xT ) }.
% 0.73/1.12 (1432) {G0,W2,D2,L1,V0,M1} { aSet0( xS ) }.
% 0.73/1.12 (1433) {G0,W6,D2,L2,V1,M2} { ! aElementOf0( X, xS ), aElementOf0( X, xT )
% 0.73/1.12 }.
% 0.73/1.12 (1434) {G0,W3,D2,L1,V0,M1} { aSubsetOf0( xS, xT ) }.
% 0.73/1.12 (1435) {G0,W3,D2,L1,V0,M1} { aElementOf0( xu, xT ) }.
% 0.73/1.12 (1436) {G0,W3,D2,L1,V0,M1} { aElementOf0( xu, xT ) }.
% 0.73/1.12 (1437) {G0,W6,D2,L2,V1,M2} { ! aElementOf0( X, xS ), sdtlseqdt0( xu, X )
% 0.73/1.12 }.
% 0.73/1.12 (1438) {G0,W4,D2,L1,V0,M1} { aLowerBoundOfIn0( xu, xS, xT ) }.
% 0.73/1.12 (1439) {G0,W5,D2,L2,V1,M2} { alpha8( X ), sdtlseqdt0( X, xu ) }.
% 0.73/1.12 (1440) {G0,W4,D2,L1,V0,M1} { aInfimumOfIn0( xu, xS, xT ) }.
% 0.73/1.12 (1441) {G0,W3,D2,L1,V0,M1} { aElementOf0( xv, xT ) }.
% 0.73/1.12 (1442) {G0,W3,D2,L1,V0,M1} { aElementOf0( xv, xT ) }.
% 0.73/1.12 (1443) {G0,W6,D2,L2,V1,M2} { ! aElementOf0( X, xS ), sdtlseqdt0( xv, X )
% 0.73/1.12 }.
% 0.73/1.12 (1444) {G0,W4,D2,L1,V0,M1} { aLowerBoundOfIn0( xv, xS, xT ) }.
% 0.73/1.12 (1445) {G0,W10,D3,L3,V2,M3} { ! aElementOf0( X, xT ), aElementOf0( skol7(
% 0.73/1.12 Y ), xS ), sdtlseqdt0( X, xv ) }.
% 0.73/1.12 (1446) {G0,W10,D3,L3,V1,M3} { ! aElementOf0( X, xT ), ! sdtlseqdt0( X,
% 0.73/1.12 skol7( X ) ), sdtlseqdt0( X, xv ) }.
% 0.73/1.12 (1447) {G0,W7,D2,L2,V1,M2} { ! aLowerBoundOfIn0( X, xS, xT ), sdtlseqdt0(
% 0.73/1.12 X, xv ) }.
% 0.73/1.12 (1448) {G0,W4,D2,L1,V0,M1} { aInfimumOfIn0( xv, xS, xT ) }.
% 0.73/1.12 (1449) {G0,W4,D2,L2,V1,M2} { ! alpha8( X ), alpha9( X ) }.
% 0.73/1.12 (1450) {G0,W6,D2,L2,V1,M2} { ! alpha8( X ), ! aLowerBoundOfIn0( X, xS, xT
% 0.73/1.12 ) }.
% 0.73/1.12 (1451) {G0,W8,D2,L3,V1,M3} { ! alpha9( X ), aLowerBoundOfIn0( X, xS, xT )
% 0.73/1.12 , alpha8( X ) }.
% 0.73/1.12 (1452) {G0,W9,D3,L3,V2,M3} { ! alpha9( X ), ! aElementOf0( X, xT ),
% 0.73/1.12 aElementOf0( skol8( Y ), xS ) }.
% 0.73/1.12 (1453) {G0,W9,D3,L3,V1,M3} { ! alpha9( X ), ! aElementOf0( X, xT ), !
% 0.73/1.12 sdtlseqdt0( X, skol8( X ) ) }.
% 0.73/1.12 (1454) {G0,W5,D2,L2,V1,M2} { aElementOf0( X, xT ), alpha9( X ) }.
% 0.73/1.12 (1455) {G0,W8,D2,L3,V2,M3} { ! aElementOf0( Y, xS ), sdtlseqdt0( X, Y ),
% 0.73/1.12 alpha9( X ) }.
% 0.73/1.12 (1456) {G0,W3,D2,L1,V0,M1} { ! xu = xv }.
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Total Proof:
% 0.73/1.12
% 0.73/1.12 subsumption: (1) {G0,W7,D2,L3,V2,M3} I { ! aSet0( X ), ! aElementOf0( Y, X
% 0.73/1.12 ), aElement0( Y ) }.
% 0.73/1.12 parent0: (1387) {G0,W7,D2,L3,V2,M3} { ! aSet0( X ), ! aElementOf0( Y, X )
% 0.73/1.12 , aElement0( Y ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := X
% 0.73/1.12 Y := Y
% 0.73/1.12 end
% 0.73/1.12 permutation0:
% 0.73/1.12 0 ==> 0
% 0.73/1.12 1 ==> 1
% 0.73/1.12 2 ==> 2
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 subsumption: (11) {G0,W13,D2,L5,V2,M5} I { ! aElement0( X ), ! aElement0( Y
% 0.73/1.12 ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.73/1.12 parent0: (1398) {G0,W13,D2,L5,V2,M5} { ! aElement0( X ), ! aElement0( Y )
% 0.73/1.12 , ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := X
% 0.73/1.12 Y := Y
% 0.73/1.12 end
% 0.73/1.12 permutation0:
% 0.73/1.12 0 ==> 0
% 0.73/1.12 1 ==> 1
% 0.73/1.12 2 ==> 2
% 0.73/1.12 3 ==> 3
% 0.73/1.12 4 ==> 4
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 subsumption: (22) {G0,W9,D2,L3,V3,M3} I { ! alpha3( X, Y ), ! aElementOf0(
% 0.73/1.12 Z, X ), sdtlseqdt0( Z, Y ) }.
% 0.73/1.12 parent0: (1409) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! aElementOf0( Z,
% 0.73/1.12 X ), sdtlseqdt0( Z, Y ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := X
% 0.73/1.12 Y := Y
% 0.73/1.12 Z := Z
% 0.73/1.12 end
% 0.73/1.12 permutation0:
% 0.73/1.12 0 ==> 0
% 0.73/1.12 1 ==> 1
% 0.73/1.12 2 ==> 2
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 subsumption: (23) {G0,W8,D3,L2,V3,M2} I { ! sdtlseqdt0( skol4( Z, Y ), Y )
% 0.73/1.12 , alpha3( X, Y ) }.
% 0.73/1.12 parent0: (1410) {G0,W8,D3,L2,V3,M2} { ! sdtlseqdt0( skol4( Z, Y ), Y ),
% 0.73/1.12 alpha3( X, Y ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := X
% 0.73/1.12 Y := Y
% 0.73/1.12 Z := Z
% 0.73/1.12 end
% 0.73/1.12 permutation0:
% 0.73/1.12 0 ==> 0
% 0.73/1.12 1 ==> 1
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 subsumption: (24) {G0,W8,D3,L2,V2,M2} I { aElementOf0( skol4( X, Y ), X ),
% 0.73/1.12 alpha3( X, Y ) }.
% 0.73/1.12 parent0: (1411) {G0,W8,D3,L2,V2,M2} { aElementOf0( skol4( X, Y ), X ),
% 0.73/1.12 alpha3( X, Y ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := X
% 0.73/1.12 Y := Y
% 0.73/1.12 end
% 0.73/1.12 permutation0:
% 0.73/1.12 0 ==> 0
% 0.73/1.12 1 ==> 1
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 subsumption: (44) {G0,W2,D2,L1,V0,M1} I { aSet0( xT ) }.
% 0.73/1.12 parent0: (1431) {G0,W2,D2,L1,V0,M1} { aSet0( xT ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 end
% 0.73/1.12 permutation0:
% 0.73/1.12 0 ==> 0
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 subsumption: (48) {G0,W3,D2,L1,V0,M1} I { aElementOf0( xu, xT ) }.
% 0.73/1.12 parent0: (1435) {G0,W3,D2,L1,V0,M1} { aElementOf0( xu, xT ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 end
% 0.73/1.12 permutation0:
% 0.73/1.12 0 ==> 0
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 subsumption: (49) {G0,W6,D2,L2,V1,M2} I { ! aElementOf0( X, xS ),
% 0.73/1.12 sdtlseqdt0( xu, X ) }.
% 0.73/1.12 parent0: (1437) {G0,W6,D2,L2,V1,M2} { ! aElementOf0( X, xS ), sdtlseqdt0(
% 0.73/1.12 xu, X ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := X
% 0.73/1.12 end
% 0.73/1.12 permutation0:
% 0.73/1.12 0 ==> 0
% 0.73/1.12 1 ==> 1
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 subsumption: (51) {G0,W5,D2,L2,V1,M2} I { alpha8( X ), sdtlseqdt0( X, xu )
% 0.73/1.12 }.
% 0.73/1.12 parent0: (1439) {G0,W5,D2,L2,V1,M2} { alpha8( X ), sdtlseqdt0( X, xu ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := X
% 0.73/1.12 end
% 0.73/1.12 permutation0:
% 0.73/1.12 0 ==> 0
% 0.73/1.12 1 ==> 1
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 subsumption: (53) {G0,W3,D2,L1,V0,M1} I { aElementOf0( xv, xT ) }.
% 0.73/1.12 parent0: (1441) {G0,W3,D2,L1,V0,M1} { aElementOf0( xv, xT ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 end
% 0.73/1.12 permutation0:
% 0.73/1.12 0 ==> 0
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 subsumption: (55) {G0,W4,D2,L1,V0,M1} I { aLowerBoundOfIn0( xv, xS, xT )
% 0.73/1.12 }.
% 0.73/1.12 parent0: (1444) {G0,W4,D2,L1,V0,M1} { aLowerBoundOfIn0( xv, xS, xT ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 end
% 0.73/1.12 permutation0:
% 0.73/1.12 0 ==> 0
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 subsumption: (56) {G0,W10,D3,L3,V2,M3} I { ! aElementOf0( X, xT ),
% 0.73/1.12 aElementOf0( skol7( Y ), xS ), sdtlseqdt0( X, xv ) }.
% 0.73/1.12 parent0: (1445) {G0,W10,D3,L3,V2,M3} { ! aElementOf0( X, xT ), aElementOf0
% 0.73/1.12 ( skol7( Y ), xS ), sdtlseqdt0( X, xv ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := X
% 0.73/1.12 Y := Y
% 0.73/1.12 end
% 0.73/1.12 permutation0:
% 0.73/1.12 0 ==> 0
% 0.73/1.12 1 ==> 1
% 0.73/1.12 2 ==> 2
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 *** allocated 33750 integers for termspace/termends
% 0.73/1.12 subsumption: (57) {G0,W10,D3,L3,V1,M3} I { ! aElementOf0( X, xT ), !
% 0.73/1.12 sdtlseqdt0( X, skol7( X ) ), sdtlseqdt0( X, xv ) }.
% 0.73/1.12 parent0: (1446) {G0,W10,D3,L3,V1,M3} { ! aElementOf0( X, xT ), !
% 0.73/1.12 sdtlseqdt0( X, skol7( X ) ), sdtlseqdt0( X, xv ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := X
% 0.73/1.12 end
% 0.73/1.12 permutation0:
% 0.73/1.12 0 ==> 0
% 0.73/1.12 1 ==> 1
% 0.73/1.12 2 ==> 2
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 subsumption: (61) {G0,W6,D2,L2,V1,M2} I { ! alpha8( X ), ! aLowerBoundOfIn0
% 0.73/1.12 ( X, xS, xT ) }.
% 0.73/1.12 parent0: (1450) {G0,W6,D2,L2,V1,M2} { ! alpha8( X ), ! aLowerBoundOfIn0( X
% 0.73/1.12 , xS, xT ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := X
% 0.73/1.12 end
% 0.73/1.12 permutation0Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------