TSTP Solution File: SET988+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET988+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 : Mon Jul 18 22:53:48 EDT 2022
% Result : Theorem 34.71s 35.09s
% Output : Refutation 34.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET988+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Sun Jul 10 15:01:44 EDT 2022
% 0.14/0.35 % CPUTime :
% 7.37/7.77 *** allocated 10000 integers for termspace/termends
% 7.37/7.77 *** allocated 10000 integers for clauses
% 7.37/7.77 *** allocated 10000 integers for justifications
% 7.37/7.77 Bliksem 1.12
% 7.37/7.77
% 7.37/7.77
% 7.37/7.77 Automatic Strategy Selection
% 7.37/7.77
% 7.37/7.77
% 7.37/7.77 Clauses:
% 7.37/7.77
% 7.37/7.77 { subset( X, X ) }.
% 7.37/7.77 { empty( empty_set ) }.
% 7.37/7.77 { relation( empty_set ) }.
% 7.37/7.77 { empty( empty_set ) }.
% 7.37/7.77 { relation( empty_set ) }.
% 7.37/7.77 { relation_empty_yielding( empty_set ) }.
% 7.37/7.77 { empty( empty_set ) }.
% 7.37/7.77 { unordered_pair( X, Y ) = unordered_pair( Y, X ) }.
% 7.37/7.77 { element( skol1( X ), X ) }.
% 7.37/7.77 { ! empty( X ), function( X ) }.
% 7.37/7.77 { ! empty( powerset( X ) ) }.
% 7.37/7.77 { ! empty( singleton( X ) ) }.
% 7.37/7.77 { ! empty( unordered_pair( X, Y ) ) }.
% 7.37/7.77 { ! empty( X ), relation( X ) }.
% 7.37/7.77 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 7.37/7.77 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 7.37/7.77 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 7.37/7.77 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 7.37/7.77 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 7.37/7.77 { ! empty( X ), X = empty_set }.
% 7.37/7.77 { ! empty( X ), X = Y, ! empty( Y ) }.
% 7.37/7.77 { ! in( X, Y ), ! in( Y, X ) }.
% 7.37/7.77 { relation( skol2 ) }.
% 7.37/7.77 { function( skol2 ) }.
% 7.37/7.77 { empty( X ), ! empty( skol3( Y ) ) }.
% 7.37/7.77 { empty( X ), element( skol3( X ), powerset( X ) ) }.
% 7.37/7.77 { empty( skol4( Y ) ) }.
% 7.37/7.77 { element( skol4( X ), powerset( X ) ) }.
% 7.37/7.77 { empty( skol5 ) }.
% 7.37/7.77 { relation( skol5 ) }.
% 7.37/7.77 { ! empty( skol6 ) }.
% 7.37/7.77 { relation( skol6 ) }.
% 7.37/7.77 { relation( skol7 ) }.
% 7.37/7.77 { relation_empty_yielding( skol7 ) }.
% 7.37/7.77 { ! empty( ordered_pair( X, Y ) ) }.
% 7.37/7.77 { empty( skol8 ) }.
% 7.37/7.77 { ! empty( skol9 ) }.
% 7.37/7.77 { ! in( X, Y ), element( X, Y ) }.
% 7.37/7.77 { ! in( X, Y ), ! empty( Y ) }.
% 7.37/7.77 { ordered_pair( X, Y ) = unordered_pair( unordered_pair( X, Y ), singleton
% 7.37/7.77 ( X ) ) }.
% 7.37/7.77 { ! in( X, skol10 ), ordered_pair( skol14( X ), skol17( X ) ) = X }.
% 7.37/7.77 { ! in( ordered_pair( Z, X ), skol10 ), ! in( ordered_pair( Z, Y ), skol10
% 7.37/7.77 ), X = Y }.
% 7.37/7.77 { ! relation( skol10 ), ! function( skol10 ) }.
% 7.37/7.77 { ! function( X ), ! alpha1( X, Y, Z ), Y = Z }.
% 7.37/7.77 { alpha1( X, skol11( X ), skol15( X ) ), function( X ) }.
% 7.37/7.77 { ! skol11( X ) = skol15( X ), function( X ) }.
% 7.37/7.77 { ! alpha1( X, Y, Z ), in( ordered_pair( skol12( X, Y, T ), Y ), X ) }.
% 7.37/7.77 { ! alpha1( X, Y, Z ), in( ordered_pair( skol12( X, Y, Z ), Z ), X ) }.
% 7.37/7.77 { ! in( ordered_pair( T, Y ), X ), ! in( ordered_pair( T, Z ), X ), alpha1
% 7.37/7.77 ( X, Y, Z ) }.
% 7.37/7.77 { ! relation( X ), ! in( Y, X ), Y = ordered_pair( skol13( Y ), skol16( Y )
% 7.37/7.77 ) }.
% 7.37/7.77 { ! skol18( Y ) = ordered_pair( Z, T ), relation( X ) }.
% 7.37/7.77 { in( skol18( X ), X ), relation( X ) }.
% 7.37/7.77
% 7.37/7.77 percentage equality = 0.120482, percentage horn = 0.918367
% 7.37/7.77 This is a problem with some equality
% 7.37/7.77
% 7.37/7.77
% 7.37/7.77
% 7.37/7.77 Options Used:
% 7.37/7.77
% 7.37/7.77 useres = 1
% 7.37/7.77 useparamod = 1
% 7.37/7.77 useeqrefl = 1
% 7.37/7.77 useeqfact = 1
% 7.37/7.77 usefactor = 1
% 7.37/7.77 usesimpsplitting = 0
% 7.37/7.77 usesimpdemod = 5
% 7.37/7.77 usesimpres = 3
% 7.37/7.77
% 7.37/7.77 resimpinuse = 1000
% 7.37/7.77 resimpclauses = 20000
% 7.37/7.77 substype = eqrewr
% 7.37/7.77 backwardsubs = 1
% 7.37/7.77 selectoldest = 5
% 7.37/7.77
% 7.37/7.77 litorderings [0] = split
% 7.37/7.77 litorderings [1] = extend the termordering, first sorting on arguments
% 7.37/7.77
% 7.37/7.77 termordering = kbo
% 7.37/7.77
% 7.37/7.77 litapriori = 0
% 7.37/7.77 termapriori = 1
% 7.37/7.77 litaposteriori = 0
% 7.37/7.77 termaposteriori = 0
% 7.37/7.77 demodaposteriori = 0
% 7.37/7.77 ordereqreflfact = 0
% 7.37/7.77
% 7.37/7.77 litselect = negord
% 7.37/7.77
% 7.37/7.77 maxweight = 15
% 7.37/7.77 maxdepth = 30000
% 7.37/7.77 maxlength = 115
% 7.37/7.77 maxnrvars = 195
% 7.37/7.77 excuselevel = 1
% 7.37/7.77 increasemaxweight = 1
% 7.37/7.77
% 7.37/7.77 maxselected = 10000000
% 7.37/7.77 maxnrclauses = 10000000
% 7.37/7.77
% 7.37/7.77 showgenerated = 0
% 7.37/7.77 showkept = 0
% 7.37/7.77 showselected = 0
% 7.37/7.77 showdeleted = 0
% 7.37/7.77 showresimp = 1
% 7.37/7.77 showstatus = 2000
% 7.37/7.77
% 7.37/7.77 prologoutput = 0
% 7.37/7.77 nrgoals = 5000000
% 7.37/7.77 totalproof = 1
% 7.37/7.77
% 7.37/7.77 Symbols occurring in the translation:
% 7.37/7.77
% 7.37/7.77 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 7.37/7.77 . [1, 2] (w:1, o:39, a:1, s:1, b:0),
% 7.37/7.77 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 7.37/7.77 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.37/7.77 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.37/7.77 subset [37, 2] (w:1, o:63, a:1, s:1, b:0),
% 7.37/7.77 empty_set [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 7.37/7.77 empty [39, 1] (w:1, o:23, a:1, s:1, b:0),
% 7.37/7.77 relation [40, 1] (w:1, o:24, a:1, s:1, b:0),
% 7.37/7.77 relation_empty_yielding [41, 1] (w:1, o:25, a:1, s:1, b:0),
% 7.37/7.77 unordered_pair [42, 2] (w:1, o:64, a:1, s:1, b:0),
% 7.37/7.77 element [43, 2] (w:1, o:65, a:1, s:1, b:0),
% 34.71/35.09 function [44, 1] (w:1, o:26, a:1, s:1, b:0),
% 34.71/35.09 powerset [45, 1] (w:1, o:27, a:1, s:1, b:0),
% 34.71/35.09 singleton [46, 1] (w:1, o:28, a:1, s:1, b:0),
% 34.71/35.09 in [47, 2] (w:1, o:66, a:1, s:1, b:0),
% 34.71/35.09 ordered_pair [49, 2] (w:1, o:67, a:1, s:1, b:0),
% 34.71/35.09 alpha1 [51, 3] (w:1, o:68, a:1, s:1, b:1),
% 34.71/35.09 skol1 [52, 1] (w:1, o:29, a:1, s:1, b:1),
% 34.71/35.09 skol2 [53, 0] (w:1, o:12, a:1, s:1, b:1),
% 34.71/35.09 skol3 [54, 1] (w:1, o:30, a:1, s:1, b:1),
% 34.71/35.09 skol4 [55, 1] (w:1, o:31, a:1, s:1, b:1),
% 34.71/35.09 skol5 [56, 0] (w:1, o:13, a:1, s:1, b:1),
% 34.71/35.09 skol6 [57, 0] (w:1, o:14, a:1, s:1, b:1),
% 34.71/35.09 skol7 [58, 0] (w:1, o:15, a:1, s:1, b:1),
% 34.71/35.09 skol8 [59, 0] (w:1, o:16, a:1, s:1, b:1),
% 34.71/35.09 skol9 [60, 0] (w:1, o:17, a:1, s:1, b:1),
% 34.71/35.09 skol10 [61, 0] (w:1, o:11, a:1, s:1, b:1),
% 34.71/35.09 skol11 [62, 1] (w:1, o:32, a:1, s:1, b:1),
% 34.71/35.09 skol12 [63, 3] (w:1, o:69, a:1, s:1, b:1),
% 34.71/35.09 skol13 [64, 1] (w:1, o:33, a:1, s:1, b:1),
% 34.71/35.09 skol14 [65, 1] (w:1, o:34, a:1, s:1, b:1),
% 34.71/35.09 skol15 [66, 1] (w:1, o:35, a:1, s:1, b:1),
% 34.71/35.09 skol16 [67, 1] (w:1, o:36, a:1, s:1, b:1),
% 34.71/35.09 skol17 [68, 1] (w:1, o:37, a:1, s:1, b:1),
% 34.71/35.09 skol18 [69, 1] (w:1, o:38, a:1, s:1, b:1).
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Starting Search:
% 34.71/35.09
% 34.71/35.09 *** allocated 15000 integers for clauses
% 34.71/35.09 *** allocated 22500 integers for clauses
% 34.71/35.09 *** allocated 33750 integers for clauses
% 34.71/35.09 *** allocated 50625 integers for clauses
% 34.71/35.09 *** allocated 15000 integers for termspace/termends
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 *** allocated 75937 integers for clauses
% 34.71/35.09 *** allocated 22500 integers for termspace/termends
% 34.71/35.09 *** allocated 113905 integers for clauses
% 34.71/35.09 *** allocated 33750 integers for termspace/termends
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 5789
% 34.71/35.09 Kept: 2091
% 34.71/35.09 Inuse: 229
% 34.71/35.09 Deleted: 21
% 34.71/35.09 Deletedinuse: 14
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 *** allocated 170857 integers for clauses
% 34.71/35.09 *** allocated 50625 integers for termspace/termends
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 *** allocated 75937 integers for termspace/termends
% 34.71/35.09 *** allocated 256285 integers for clauses
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 14448
% 34.71/35.09 Kept: 4106
% 34.71/35.09 Inuse: 357
% 34.71/35.09 Deleted: 69
% 34.71/35.09 Deletedinuse: 30
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 *** allocated 113905 integers for termspace/termends
% 34.71/35.09 *** allocated 384427 integers for clauses
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 25014
% 34.71/35.09 Kept: 6114
% 34.71/35.09 Inuse: 491
% 34.71/35.09 Deleted: 76
% 34.71/35.09 Deletedinuse: 31
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 29166
% 34.71/35.09 Kept: 8127
% 34.71/35.09 Inuse: 524
% 34.71/35.09 Deleted: 87
% 34.71/35.09 Deletedinuse: 35
% 34.71/35.09
% 34.71/35.09 *** allocated 170857 integers for termspace/termends
% 34.71/35.09 *** allocated 576640 integers for clauses
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 44591
% 34.71/35.09 Kept: 10133
% 34.71/35.09 Inuse: 648
% 34.71/35.09 Deleted: 96
% 34.71/35.09 Deletedinuse: 44
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 57642
% 34.71/35.09 Kept: 12133
% 34.71/35.09 Inuse: 750
% 34.71/35.09 Deleted: 123
% 34.71/35.09 Deletedinuse: 48
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 *** allocated 256285 integers for termspace/termends
% 34.71/35.09 *** allocated 864960 integers for clauses
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 77181
% 34.71/35.09 Kept: 14178
% 34.71/35.09 Inuse: 873
% 34.71/35.09 Deleted: 174
% 34.71/35.09 Deletedinuse: 59
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 93594
% 34.71/35.09 Kept: 16279
% 34.71/35.09 Inuse: 989
% 34.71/35.09 Deleted: 187
% 34.71/35.09 Deletedinuse: 61
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 125248
% 34.71/35.09 Kept: 18376
% 34.71/35.09 Inuse: 1088
% 34.71/35.09 Deleted: 223
% 34.71/35.09 Deletedinuse: 63
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 *** allocated 384427 integers for termspace/termends
% 34.71/35.09 Resimplifying clauses:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 138471
% 34.71/35.09 Kept: 20391
% 34.71/35.09 Inuse: 1152
% 34.71/35.09 Deleted: 2561
% 34.71/35.09 Deletedinuse: 66
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 *** allocated 1297440 integers for clauses
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 152175
% 34.71/35.09 Kept: 22409
% 34.71/35.09 Inuse: 1239
% 34.71/35.09 Deleted: 2569
% 34.71/35.09 Deletedinuse: 71
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 164936
% 34.71/35.09 Kept: 24419
% 34.71/35.09 Inuse: 1314
% 34.71/35.09 Deleted: 2574
% 34.71/35.09 Deletedinuse: 75
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 179956
% 34.71/35.09 Kept: 26442
% 34.71/35.09 Inuse: 1377
% 34.71/35.09 Deleted: 2574
% 34.71/35.09 Deletedinuse: 75
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 192074
% 34.71/35.09 Kept: 28462
% 34.71/35.09 Inuse: 1425
% 34.71/35.09 Deleted: 2576
% 34.71/35.09 Deletedinuse: 76
% 34.71/35.09
% 34.71/35.09 *** allocated 576640 integers for termspace/termends
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 210463
% 34.71/35.09 Kept: 30466
% 34.71/35.09 Inuse: 1486
% 34.71/35.09 Deleted: 2576
% 34.71/35.09 Deletedinuse: 76
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 *** allocated 1946160 integers for clauses
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 224828
% 34.71/35.09 Kept: 32472
% 34.71/35.09 Inuse: 1546
% 34.71/35.09 Deleted: 2576
% 34.71/35.09 Deletedinuse: 76
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 259158
% 34.71/35.09 Kept: 34624
% 34.71/35.09 Inuse: 1598
% 34.71/35.09 Deleted: 2586
% 34.71/35.09 Deletedinuse: 76
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 274810
% 34.71/35.09 Kept: 36629
% 34.71/35.09 Inuse: 1650
% 34.71/35.09 Deleted: 2615
% 34.71/35.09 Deletedinuse: 76
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 284684
% 34.71/35.09 Kept: 38646
% 34.71/35.09 Inuse: 1690
% 34.71/35.09 Deleted: 2619
% 34.71/35.09 Deletedinuse: 76
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying clauses:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 295642
% 34.71/35.09 Kept: 40862
% 34.71/35.09 Inuse: 1735
% 34.71/35.09 Deleted: 3893
% 34.71/35.09 Deletedinuse: 76
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 *** allocated 864960 integers for termspace/termends
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 311110
% 34.71/35.09 Kept: 42866
% 34.71/35.09 Inuse: 1776
% 34.71/35.09 Deleted: 3893
% 34.71/35.09 Deletedinuse: 76
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 322660
% 34.71/35.09 Kept: 44904
% 34.71/35.09 Inuse: 1850
% 34.71/35.09 Deleted: 3893
% 34.71/35.09 Deletedinuse: 76
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 334906
% 34.71/35.09 Kept: 46916
% 34.71/35.09 Inuse: 1907
% 34.71/35.09 Deleted: 3898
% 34.71/35.09 Deletedinuse: 77
% 34.71/35.09
% 34.71/35.09 *** allocated 2919240 integers for clauses
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 346573
% 34.71/35.09 Kept: 48944
% 34.71/35.09 Inuse: 1920
% 34.71/35.09 Deleted: 3900
% 34.71/35.09 Deletedinuse: 78
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 388163
% 34.71/35.09 Kept: 52786
% 34.71/35.09 Inuse: 1971
% 34.71/35.09 Deleted: 3909
% 34.71/35.09 Deletedinuse: 78
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 398812
% 34.71/35.09 Kept: 54985
% 34.71/35.09 Inuse: 2013
% 34.71/35.09 Deleted: 3909
% 34.71/35.09 Deletedinuse: 78
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 408432
% 34.71/35.09 Kept: 56993
% 34.71/35.09 Inuse: 2043
% 34.71/35.09 Deleted: 3914
% 34.71/35.09 Deletedinuse: 78
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 416182
% 34.71/35.09 Kept: 59194
% 34.71/35.09 Inuse: 2072
% 34.71/35.09 Deleted: 3921
% 34.71/35.09 Deletedinuse: 85
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying clauses:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 429160
% 34.71/35.09 Kept: 61219
% 34.71/35.09 Inuse: 2106
% 34.71/35.09 Deleted: 6701
% 34.71/35.09 Deletedinuse: 87
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09 Done
% 34.71/35.09
% 34.71/35.09 *** allocated 1297440 integers for termspace/termends
% 34.71/35.09
% 34.71/35.09 Intermediate Status:
% 34.71/35.09 Generated: 454840
% 34.71/35.09 Kept: 68917
% 34.71/35.09 Inuse: 2145
% 34.71/35.09 Deleted: 6701
% 34.71/35.09 Deletedinuse: 87
% 34.71/35.09
% 34.71/35.09 Resimplifying inuse:
% 34.71/35.09
% 34.71/35.09 Bliksems!, er is een bewijs:
% 34.71/35.09 % SZS status Theorem
% 34.71/35.09 % SZS output start Refutation
% 34.71/35.09
% 34.71/35.09 (37) {G0,W10,D4,L2,V1,M2} I { ! in( X, skol10 ), ordered_pair( skol14( X )
% 34.71/35.09 , skol17( X ) ) ==> X }.
% 34.71/35.09 (38) {G0,W13,D3,L3,V3,M3} I { ! in( ordered_pair( Z, X ), skol10 ), ! in(
% 34.71/35.09 ordered_pair( Z, Y ), skol10 ), X = Y }.
% 34.71/35.09 (39) {G0,W4,D2,L2,V0,M2} I { ! relation( skol10 ), ! function( skol10 ) }.
% 34.71/35.09 (41) {G0,W8,D3,L2,V1,M2} I { alpha1( X, skol11( X ), skol15( X ) ),
% 34.71/35.09 function( X ) }.
% 34.71/35.09 (42) {G0,W7,D3,L2,V1,M2} I { ! skol15( X ) ==> skol11( X ), function( X )
% 34.71/35.09 }.
% 34.71/35.09 (43) {G0,W12,D4,L2,V4,M2} I { ! alpha1( X, Y, Z ), in( ordered_pair( skol12
% 34.71/35.09 ( X, Y, T ), Y ), X ) }.
% 34.71/35.09 (44) {G0,W12,D4,L2,V3,M2} I { ! alpha1( X, Y, Z ), in( ordered_pair( skol12
% 34.71/35.09 ( X, Y, Z ), Z ), X ) }.
% 34.71/35.09 (47) {G0,W8,D3,L2,V4,M2} I { ! skol18( Y ) = ordered_pair( Z, T ), relation
% 34.71/35.09 ( X ) }.
% 34.71/35.09 (48) {G0,W6,D3,L2,V1,M2} I { in( skol18( X ), X ), relation( X ) }.
% 34.71/35.09 (600) {G1,W15,D4,L3,V4,M3} R(43,38) { ! alpha1( skol10, X, Y ), ! in(
% 34.71/35.09 ordered_pair( skol12( skol10, X, Z ), T ), skol10 ), X = T }.
% 34.71/35.09 (809) {G1,W9,D3,L3,V3,M3} P(37,47) { ! skol18( Y ) = X, relation( Z ), ! in
% 34.71/35.09 ( X, skol10 ) }.
% 34.71/35.09 (812) {G2,W6,D3,L2,V2,M2} Q(809) { relation( X ), ! in( skol18( Y ), skol10
% 34.71/35.09 ) }.
% 34.71/35.09 (823) {G3,W6,D3,L2,V1,M2} R(812,39) { ! in( skol18( X ), skol10 ), !
% 34.71/35.09 function( skol10 ) }.
% 34.71/35.09 (842) {G4,W2,D2,L1,V0,M1} R(48,39);r(823) { ! function( skol10 ) }.
% 34.71/35.09 (854) {G5,W5,D3,L1,V0,M1} R(842,42) { ! skol15( skol10 ) ==> skol11( skol10
% 34.71/35.09 ) }.
% 34.71/35.09 (855) {G5,W6,D3,L1,V0,M1} R(842,41) { alpha1( skol10, skol11( skol10 ),
% 34.71/35.09 skol15( skol10 ) ) }.
% 34.71/35.09 (62072) {G2,W11,D2,L3,V3,M3} R(600,44) { ! alpha1( skol10, X, Y ), X = Z, !
% 34.71/35.09 alpha1( skol10, X, Z ) }.
% 34.71/35.09 (62112) {G3,W7,D2,L2,V2,M2} F(62072) { ! alpha1( skol10, X, Y ), X = Y }.
% 34.71/35.09 (62126) {G6,W5,D3,L1,V0,M1} R(62112,855) { skol15( skol10 ) ==> skol11(
% 34.71/35.09 skol10 ) }.
% 34.71/35.09 (68519) {G7,W9,D3,L2,V1,M2} P(62112,854);d(62126) { ! X = skol11( skol10 )
% 34.71/35.09 , ! alpha1( skol10, X, skol11( skol10 ) ) }.
% 34.71/35.09 (68786) {G8,W6,D3,L1,V0,M1} Q(68519) { ! alpha1( skol10, skol11( skol10 ),
% 34.71/35.09 skol11( skol10 ) ) }.
% 34.71/35.09 (68920) {G9,W0,D0,L0,V0,M0} S(855);d(62126);r(68786) { }.
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 % SZS output end Refutation
% 34.71/35.09 found a proof!
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Unprocessed initial clauses:
% 34.71/35.09
% 34.71/35.09 (68922) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 34.71/35.09 (68923) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 34.71/35.09 (68924) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 34.71/35.09 (68925) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 34.71/35.09 (68926) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 34.71/35.09 (68927) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 34.71/35.09 (68928) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 34.71/35.09 (68929) {G0,W7,D3,L1,V2,M1} { unordered_pair( X, Y ) = unordered_pair( Y,
% 34.71/35.09 X ) }.
% 34.71/35.09 (68930) {G0,W4,D3,L1,V1,M1} { element( skol1( X ), X ) }.
% 34.71/35.09 (68931) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 34.71/35.09 (68932) {G0,W3,D3,L1,V1,M1} { ! empty( powerset( X ) ) }.
% 34.71/35.09 (68933) {G0,W3,D3,L1,V1,M1} { ! empty( singleton( X ) ) }.
% 34.71/35.09 (68934) {G0,W4,D3,L1,V2,M1} { ! empty( unordered_pair( X, Y ) ) }.
% 34.71/35.09 (68935) {G0,W4,D2,L2,V1,M2} { ! empty( X ), relation( X ) }.
% 34.71/35.09 (68936) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 34.71/35.09 }.
% 34.71/35.09 (68937) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y
% 34.71/35.09 ) }.
% 34.71/35.09 (68938) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y )
% 34.71/35.09 ) }.
% 34.71/35.09 (68939) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y ) )
% 34.71/35.09 , element( X, Y ) }.
% 34.71/35.09 (68940) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) )
% 34.71/35.09 , ! empty( Z ) }.
% 34.71/35.09 (68941) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 34.71/35.09 (68942) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 34.71/35.09 (68943) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 34.71/35.09 (68944) {G0,W2,D2,L1,V0,M1} { relation( skol2 ) }.
% 34.71/35.09 (68945) {G0,W2,D2,L1,V0,M1} { function( skol2 ) }.
% 34.71/35.09 (68946) {G0,W5,D3,L2,V2,M2} { empty( X ), ! empty( skol3( Y ) ) }.
% 34.71/35.09 (68947) {G0,W7,D3,L2,V1,M2} { empty( X ), element( skol3( X ), powerset( X
% 34.71/35.09 ) ) }.
% 34.71/35.09 (68948) {G0,W3,D3,L1,V1,M1} { empty( skol4( Y ) ) }.
% 34.71/35.09 (68949) {G0,W5,D3,L1,V1,M1} { element( skol4( X ), powerset( X ) ) }.
% 34.71/35.09 (68950) {G0,W2,D2,L1,V0,M1} { empty( skol5 ) }.
% 34.71/35.09 (68951) {G0,W2,D2,L1,V0,M1} { relation( skol5 ) }.
% 34.71/35.09 (68952) {G0,W2,D2,L1,V0,M1} { ! empty( skol6 ) }.
% 34.71/35.09 (68953) {G0,W2,D2,L1,V0,M1} { relation( skol6 ) }.
% 34.71/35.09 (68954) {G0,W2,D2,L1,V0,M1} { relation( skol7 ) }.
% 34.71/35.09 (68955) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol7 ) }.
% 34.71/35.09 (68956) {G0,W4,D3,L1,V2,M1} { ! empty( ordered_pair( X, Y ) ) }.
% 34.71/35.09 (68957) {G0,W2,D2,L1,V0,M1} { empty( skol8 ) }.
% 34.71/35.09 (68958) {G0,W2,D2,L1,V0,M1} { ! empty( skol9 ) }.
% 34.71/35.09 (68959) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 34.71/35.09 (68960) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 34.71/35.09 (68961) {G0,W10,D4,L1,V2,M1} { ordered_pair( X, Y ) = unordered_pair(
% 34.71/35.09 unordered_pair( X, Y ), singleton( X ) ) }.
% 34.71/35.09 (68962) {G0,W10,D4,L2,V1,M2} { ! in( X, skol10 ), ordered_pair( skol14( X
% 34.71/35.09 ), skol17( X ) ) = X }.
% 34.71/35.09 (68963) {G0,W13,D3,L3,V3,M3} { ! in( ordered_pair( Z, X ), skol10 ), ! in
% 34.71/35.09 ( ordered_pair( Z, Y ), skol10 ), X = Y }.
% 34.71/35.09 (68964) {G0,W4,D2,L2,V0,M2} { ! relation( skol10 ), ! function( skol10 )
% 34.71/35.09 }.
% 34.71/35.09 (68965) {G0,W9,D2,L3,V3,M3} { ! function( X ), ! alpha1( X, Y, Z ), Y = Z
% 34.71/35.09 }.
% 34.71/35.09 (68966) {G0,W8,D3,L2,V1,M2} { alpha1( X, skol11( X ), skol15( X ) ),
% 34.71/35.09 function( X ) }.
% 34.71/35.09 (68967) {G0,W7,D3,L2,V1,M2} { ! skol11( X ) = skol15( X ), function( X )
% 34.71/35.09 }.
% 34.71/35.09 (68968) {G0,W12,D4,L2,V4,M2} { ! alpha1( X, Y, Z ), in( ordered_pair(
% 34.71/35.09 skol12( X, Y, T ), Y ), X ) }.
% 34.71/35.09 (68969) {G0,W12,D4,L2,V3,M2} { ! alpha1( X, Y, Z ), in( ordered_pair(
% 34.71/35.09 skol12( X, Y, Z ), Z ), X ) }.
% 34.71/35.09 (68970) {G0,W14,D3,L3,V4,M3} { ! in( ordered_pair( T, Y ), X ), ! in(
% 34.71/35.09 ordered_pair( T, Z ), X ), alpha1( X, Y, Z ) }.
% 34.71/35.09 (68971) {G0,W12,D4,L3,V2,M3} { ! relation( X ), ! in( Y, X ), Y =
% 34.71/35.09 ordered_pair( skol13( Y ), skol16( Y ) ) }.
% 34.71/35.09 (68972) {G0,W8,D3,L2,V4,M2} { ! skol18( Y ) = ordered_pair( Z, T ),
% 34.71/35.09 relation( X ) }.
% 34.71/35.09 (68973) {G0,W6,D3,L2,V1,M2} { in( skol18( X ), X ), relation( X ) }.
% 34.71/35.09
% 34.71/35.09
% 34.71/35.09 Total Proof:
% 34.71/35.09
% 34.71/35.09 subsumption: (37) {G0,W10,D4,L2,V1,M2} I { ! in( X, skol10 ), ordered_pair
% 34.71/35.09 ( skol14( X ), skol17( X ) ) ==> X }.
% 34.71/35.09 parent0: (68962) {G0,W10,D4,L2,V1,M2} { ! in( X, skol10 ), ordered_pair(
% 34.71/35.09 skol14( X ), skol17( X ) ) = X }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := X
% 34.71/35.09 end
% 34.71/35.09 permutation0:
% 34.71/35.09 0 ==> 0
% 34.71/35.09 1 ==> 1
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 subsumption: (38) {G0,W13,D3,L3,V3,M3} I { ! in( ordered_pair( Z, X ),
% 34.71/35.09 skol10 ), ! in( ordered_pair( Z, Y ), skol10 ), X = Y }.
% 34.71/35.09 parent0: (68963) {G0,W13,D3,L3,V3,M3} { ! in( ordered_pair( Z, X ), skol10
% 34.71/35.09 ), ! in( ordered_pair( Z, Y ), skol10 ), X = Y }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := X
% 34.71/35.09 Y := Y
% 34.71/35.09 Z := Z
% 34.71/35.09 end
% 34.71/35.09 permutation0:
% 34.71/35.09 0 ==> 0
% 34.71/35.09 1 ==> 1
% 34.71/35.09 2 ==> 2
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 subsumption: (39) {G0,W4,D2,L2,V0,M2} I { ! relation( skol10 ), ! function
% 34.71/35.09 ( skol10 ) }.
% 34.71/35.09 parent0: (68964) {G0,W4,D2,L2,V0,M2} { ! relation( skol10 ), ! function(
% 34.71/35.09 skol10 ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 end
% 34.71/35.09 permutation0:
% 34.71/35.09 0 ==> 0
% 34.71/35.09 1 ==> 1
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 subsumption: (41) {G0,W8,D3,L2,V1,M2} I { alpha1( X, skol11( X ), skol15( X
% 34.71/35.09 ) ), function( X ) }.
% 34.71/35.09 parent0: (68966) {G0,W8,D3,L2,V1,M2} { alpha1( X, skol11( X ), skol15( X )
% 34.71/35.09 ), function( X ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := X
% 34.71/35.09 end
% 34.71/35.09 permutation0:
% 34.71/35.09 0 ==> 0
% 34.71/35.09 1 ==> 1
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 eqswap: (69005) {G0,W7,D3,L2,V1,M2} { ! skol15( X ) = skol11( X ),
% 34.71/35.09 function( X ) }.
% 34.71/35.09 parent0[0]: (68967) {G0,W7,D3,L2,V1,M2} { ! skol11( X ) = skol15( X ),
% 34.71/35.09 function( X ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := X
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 subsumption: (42) {G0,W7,D3,L2,V1,M2} I { ! skol15( X ) ==> skol11( X ),
% 34.71/35.09 function( X ) }.
% 34.71/35.09 parent0: (69005) {G0,W7,D3,L2,V1,M2} { ! skol15( X ) = skol11( X ),
% 34.71/35.09 function( X ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := X
% 34.71/35.09 end
% 34.71/35.09 permutation0:
% 34.71/35.09 0 ==> 0
% 34.71/35.09 1 ==> 1
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 subsumption: (43) {G0,W12,D4,L2,V4,M2} I { ! alpha1( X, Y, Z ), in(
% 34.71/35.09 ordered_pair( skol12( X, Y, T ), Y ), X ) }.
% 34.71/35.09 parent0: (68968) {G0,W12,D4,L2,V4,M2} { ! alpha1( X, Y, Z ), in(
% 34.71/35.09 ordered_pair( skol12( X, Y, T ), Y ), X ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := X
% 34.71/35.09 Y := Y
% 34.71/35.09 Z := Z
% 34.71/35.09 T := T
% 34.71/35.09 end
% 34.71/35.09 permutation0:
% 34.71/35.09 0 ==> 0
% 34.71/35.09 1 ==> 1
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 subsumption: (44) {G0,W12,D4,L2,V3,M2} I { ! alpha1( X, Y, Z ), in(
% 34.71/35.09 ordered_pair( skol12( X, Y, Z ), Z ), X ) }.
% 34.71/35.09 parent0: (68969) {G0,W12,D4,L2,V3,M2} { ! alpha1( X, Y, Z ), in(
% 34.71/35.09 ordered_pair( skol12( X, Y, Z ), Z ), X ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := X
% 34.71/35.09 Y := Y
% 34.71/35.09 Z := Z
% 34.71/35.09 end
% 34.71/35.09 permutation0:
% 34.71/35.09 0 ==> 0
% 34.71/35.09 1 ==> 1
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 subsumption: (47) {G0,W8,D3,L2,V4,M2} I { ! skol18( Y ) = ordered_pair( Z,
% 34.71/35.09 T ), relation( X ) }.
% 34.71/35.09 parent0: (68972) {G0,W8,D3,L2,V4,M2} { ! skol18( Y ) = ordered_pair( Z, T
% 34.71/35.09 ), relation( X ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := X
% 34.71/35.09 Y := Y
% 34.71/35.09 Z := Z
% 34.71/35.09 T := T
% 34.71/35.09 end
% 34.71/35.09 permutation0:
% 34.71/35.09 0 ==> 0
% 34.71/35.09 1 ==> 1
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 subsumption: (48) {G0,W6,D3,L2,V1,M2} I { in( skol18( X ), X ), relation( X
% 34.71/35.09 ) }.
% 34.71/35.09 parent0: (68973) {G0,W6,D3,L2,V1,M2} { in( skol18( X ), X ), relation( X )
% 34.71/35.09 }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := X
% 34.71/35.09 end
% 34.71/35.09 permutation0:
% 34.71/35.09 0 ==> 0
% 34.71/35.09 1 ==> 1
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 resolution: (69044) {G1,W15,D4,L3,V4,M3} { ! in( ordered_pair( skol12(
% 34.71/35.09 skol10, X, Y ), Z ), skol10 ), X = Z, ! alpha1( skol10, X, T ) }.
% 34.71/35.09 parent0[0]: (38) {G0,W13,D3,L3,V3,M3} I { ! in( ordered_pair( Z, X ),
% 34.71/35.09 skol10 ), ! in( ordered_pair( Z, Y ), skol10 ), X = Y }.
% 34.71/35.09 parent1[1]: (43) {G0,W12,D4,L2,V4,M2} I { ! alpha1( X, Y, Z ), in(
% 34.71/35.09 ordered_pair( skol12( X, Y, T ), Y ), X ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := X
% 34.71/35.09 Y := Z
% 34.71/35.09 Z := skol12( skol10, X, Y )
% 34.71/35.09 end
% 34.71/35.09 substitution1:
% 34.71/35.09 X := skol10
% 34.71/35.09 Y := X
% 34.71/35.09 Z := T
% 34.71/35.09 T := Y
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 subsumption: (600) {G1,W15,D4,L3,V4,M3} R(43,38) { ! alpha1( skol10, X, Y )
% 34.71/35.09 , ! in( ordered_pair( skol12( skol10, X, Z ), T ), skol10 ), X = T }.
% 34.71/35.09 parent0: (69044) {G1,W15,D4,L3,V4,M3} { ! in( ordered_pair( skol12( skol10
% 34.71/35.09 , X, Y ), Z ), skol10 ), X = Z, ! alpha1( skol10, X, T ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := X
% 34.71/35.09 Y := Z
% 34.71/35.09 Z := T
% 34.71/35.09 T := Y
% 34.71/35.09 end
% 34.71/35.09 permutation0:
% 34.71/35.09 0 ==> 1
% 34.71/35.09 1 ==> 2
% 34.71/35.09 2 ==> 0
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 eqswap: (69047) {G0,W8,D3,L2,V4,M2} { ! ordered_pair( Y, Z ) = skol18( X )
% 34.71/35.09 , relation( T ) }.
% 34.71/35.09 parent0[0]: (47) {G0,W8,D3,L2,V4,M2} I { ! skol18( Y ) = ordered_pair( Z, T
% 34.71/35.09 ), relation( X ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := T
% 34.71/35.09 Y := X
% 34.71/35.09 Z := Y
% 34.71/35.09 T := Z
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 paramod: (69048) {G1,W9,D3,L3,V3,M3} { ! X = skol18( Y ), ! in( X, skol10
% 34.71/35.09 ), relation( Z ) }.
% 34.71/35.09 parent0[1]: (37) {G0,W10,D4,L2,V1,M2} I { ! in( X, skol10 ), ordered_pair(
% 34.71/35.09 skol14( X ), skol17( X ) ) ==> X }.
% 34.71/35.09 parent1[0; 2]: (69047) {G0,W8,D3,L2,V4,M2} { ! ordered_pair( Y, Z ) =
% 34.71/35.09 skol18( X ), relation( T ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := X
% 34.71/35.09 end
% 34.71/35.09 substitution1:
% 34.71/35.09 X := Y
% 34.71/35.09 Y := skol14( X )
% 34.71/35.09 Z := skol17( X )
% 34.71/35.09 T := Z
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 eqswap: (69049) {G1,W9,D3,L3,V3,M3} { ! skol18( Y ) = X, ! in( X, skol10 )
% 34.71/35.09 , relation( Z ) }.
% 34.71/35.09 parent0[0]: (69048) {G1,W9,D3,L3,V3,M3} { ! X = skol18( Y ), ! in( X,
% 34.71/35.09 skol10 ), relation( Z ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := X
% 34.71/35.09 Y := Y
% 34.71/35.09 Z := Z
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 subsumption: (809) {G1,W9,D3,L3,V3,M3} P(37,47) { ! skol18( Y ) = X,
% 34.71/35.09 relation( Z ), ! in( X, skol10 ) }.
% 34.71/35.09 parent0: (69049) {G1,W9,D3,L3,V3,M3} { ! skol18( Y ) = X, ! in( X, skol10
% 34.71/35.09 ), relation( Z ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := X
% 34.71/35.09 Y := Y
% 34.71/35.09 Z := Z
% 34.71/35.09 end
% 34.71/35.09 permutation0:
% 34.71/35.09 0 ==> 0
% 34.71/35.09 1 ==> 2
% 34.71/35.09 2 ==> 1
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 eqswap: (69050) {G1,W9,D3,L3,V3,M3} { ! Y = skol18( X ), relation( Z ), !
% 34.71/35.09 in( Y, skol10 ) }.
% 34.71/35.09 parent0[0]: (809) {G1,W9,D3,L3,V3,M3} P(37,47) { ! skol18( Y ) = X,
% 34.71/35.09 relation( Z ), ! in( X, skol10 ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := Y
% 34.71/35.09 Y := X
% 34.71/35.09 Z := Z
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 eqrefl: (69051) {G0,W6,D3,L2,V2,M2} { relation( Y ), ! in( skol18( X ),
% 34.71/35.09 skol10 ) }.
% 34.71/35.09 parent0[0]: (69050) {G1,W9,D3,L3,V3,M3} { ! Y = skol18( X ), relation( Z )
% 34.71/35.09 , ! in( Y, skol10 ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := X
% 34.71/35.09 Y := skol18( X )
% 34.71/35.09 Z := Y
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 subsumption: (812) {G2,W6,D3,L2,V2,M2} Q(809) { relation( X ), ! in( skol18
% 34.71/35.09 ( Y ), skol10 ) }.
% 34.71/35.09 parent0: (69051) {G0,W6,D3,L2,V2,M2} { relation( Y ), ! in( skol18( X ),
% 34.71/35.09 skol10 ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := Y
% 34.71/35.09 Y := X
% 34.71/35.09 end
% 34.71/35.09 permutation0:
% 34.71/35.09 0 ==> 0
% 34.71/35.09 1 ==> 1
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 resolution: (69052) {G1,W6,D3,L2,V1,M2} { ! function( skol10 ), ! in(
% 34.71/35.09 skol18( X ), skol10 ) }.
% 34.71/35.09 parent0[0]: (39) {G0,W4,D2,L2,V0,M2} I { ! relation( skol10 ), ! function(
% 34.71/35.09 skol10 ) }.
% 34.71/35.09 parent1[0]: (812) {G2,W6,D3,L2,V2,M2} Q(809) { relation( X ), ! in( skol18
% 34.71/35.09 ( Y ), skol10 ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 end
% 34.71/35.09 substitution1:
% 34.71/35.09 X := skol10
% 34.71/35.09 Y := X
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 subsumption: (823) {G3,W6,D3,L2,V1,M2} R(812,39) { ! in( skol18( X ),
% 34.71/35.09 skol10 ), ! function( skol10 ) }.
% 34.71/35.09 parent0: (69052) {G1,W6,D3,L2,V1,M2} { ! function( skol10 ), ! in( skol18
% 34.71/35.09 ( X ), skol10 ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := X
% 34.71/35.09 end
% 34.71/35.09 permutation0:
% 34.71/35.09 0 ==> 1
% 34.71/35.09 1 ==> 0
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 resolution: (69053) {G1,W6,D3,L2,V0,M2} { ! function( skol10 ), in( skol18
% 34.71/35.09 ( skol10 ), skol10 ) }.
% 34.71/35.09 parent0[0]: (39) {G0,W4,D2,L2,V0,M2} I { ! relation( skol10 ), ! function(
% 34.71/35.09 skol10 ) }.
% 34.71/35.09 parent1[1]: (48) {G0,W6,D3,L2,V1,M2} I { in( skol18( X ), X ), relation( X
% 34.71/35.09 ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 end
% 34.71/35.09 substitution1:
% 34.71/35.09 X := skol10
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 resolution: (69054) {G2,W4,D2,L2,V0,M2} { ! function( skol10 ), ! function
% 34.71/35.09 ( skol10 ) }.
% 34.71/35.09 parent0[0]: (823) {G3,W6,D3,L2,V1,M2} R(812,39) { ! in( skol18( X ), skol10
% 34.71/35.09 ), ! function( skol10 ) }.
% 34.71/35.09 parent1[1]: (69053) {G1,W6,D3,L2,V0,M2} { ! function( skol10 ), in( skol18
% 34.71/35.09 ( skol10 ), skol10 ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := skol10
% 34.71/35.09 end
% 34.71/35.09 substitution1:
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 factor: (69055) {G2,W2,D2,L1,V0,M1} { ! function( skol10 ) }.
% 34.71/35.09 parent0[0, 1]: (69054) {G2,W4,D2,L2,V0,M2} { ! function( skol10 ), !
% 34.71/35.09 function( skol10 ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 subsumption: (842) {G4,W2,D2,L1,V0,M1} R(48,39);r(823) { ! function( skol10
% 34.71/35.09 ) }.
% 34.71/35.09 parent0: (69055) {G2,W2,D2,L1,V0,M1} { ! function( skol10 ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 end
% 34.71/35.09 permutation0:
% 34.71/35.09 0 ==> 0
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 eqswap: (69056) {G0,W7,D3,L2,V1,M2} { ! skol11( X ) ==> skol15( X ),
% 34.71/35.09 function( X ) }.
% 34.71/35.09 parent0[0]: (42) {G0,W7,D3,L2,V1,M2} I { ! skol15( X ) ==> skol11( X ),
% 34.71/35.09 function( X ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := X
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 resolution: (69057) {G1,W5,D3,L1,V0,M1} { ! skol11( skol10 ) ==> skol15(
% 34.71/35.09 skol10 ) }.
% 34.71/35.09 parent0[0]: (842) {G4,W2,D2,L1,V0,M1} R(48,39);r(823) { ! function( skol10
% 34.71/35.09 ) }.
% 34.71/35.09 parent1[1]: (69056) {G0,W7,D3,L2,V1,M2} { ! skol11( X ) ==> skol15( X ),
% 34.71/35.09 function( X ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 end
% 34.71/35.09 substitution1:
% 34.71/35.09 X := skol10
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 eqswap: (69058) {G1,W5,D3,L1,V0,M1} { ! skol15( skol10 ) ==> skol11(
% 34.71/35.09 skol10 ) }.
% 34.71/35.09 parent0[0]: (69057) {G1,W5,D3,L1,V0,M1} { ! skol11( skol10 ) ==> skol15(
% 34.71/35.09 skol10 ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 subsumption: (854) {G5,W5,D3,L1,V0,M1} R(842,42) { ! skol15( skol10 ) ==>
% 34.71/35.09 skol11( skol10 ) }.
% 34.71/35.09 parent0: (69058) {G1,W5,D3,L1,V0,M1} { ! skol15( skol10 ) ==> skol11(
% 34.71/35.09 skol10 ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 end
% 34.71/35.09 permutation0:
% 34.71/35.09 0 ==> 0
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 resolution: (69059) {G1,W6,D3,L1,V0,M1} { alpha1( skol10, skol11( skol10 )
% 34.71/35.09 , skol15( skol10 ) ) }.
% 34.71/35.09 parent0[0]: (842) {G4,W2,D2,L1,V0,M1} R(48,39);r(823) { ! function( skol10
% 34.71/35.09 ) }.
% 34.71/35.09 parent1[1]: (41) {G0,W8,D3,L2,V1,M2} I { alpha1( X, skol11( X ), skol15( X
% 34.71/35.09 ) ), function( X ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 end
% 34.71/35.09 substitution1:
% 34.71/35.09 X := skol10
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 subsumption: (855) {G5,W6,D3,L1,V0,M1} R(842,41) { alpha1( skol10, skol11(
% 34.71/35.09 skol10 ), skol15( skol10 ) ) }.
% 34.71/35.09 parent0: (69059) {G1,W6,D3,L1,V0,M1} { alpha1( skol10, skol11( skol10 ),
% 34.71/35.09 skol15( skol10 ) ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 end
% 34.71/35.09 permutation0:
% 34.71/35.09 0 ==> 0
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 eqswap: (69060) {G1,W15,D4,L3,V4,M3} { Y = X, ! alpha1( skol10, X, Z ), !
% 34.71/35.09 in( ordered_pair( skol12( skol10, X, T ), Y ), skol10 ) }.
% 34.71/35.09 parent0[2]: (600) {G1,W15,D4,L3,V4,M3} R(43,38) { ! alpha1( skol10, X, Y )
% 34.71/35.09 , ! in( ordered_pair( skol12( skol10, X, Z ), T ), skol10 ), X = T }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := X
% 34.71/35.09 Y := Z
% 34.71/35.09 Z := T
% 34.71/35.09 T := Y
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 resolution: (69061) {G1,W11,D2,L3,V3,M3} { X = Y, ! alpha1( skol10, Y, Z )
% 34.71/35.09 , ! alpha1( skol10, Y, X ) }.
% 34.71/35.09 parent0[2]: (69060) {G1,W15,D4,L3,V4,M3} { Y = X, ! alpha1( skol10, X, Z )
% 34.71/35.09 , ! in( ordered_pair( skol12( skol10, X, T ), Y ), skol10 ) }.
% 34.71/35.09 parent1[1]: (44) {G0,W12,D4,L2,V3,M2} I { ! alpha1( X, Y, Z ), in(
% 34.71/35.09 ordered_pair( skol12( X, Y, Z ), Z ), X ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := Y
% 34.71/35.09 Y := X
% 34.71/35.09 Z := Z
% 34.71/35.09 T := X
% 34.71/35.09 end
% 34.71/35.09 substitution1:
% 34.71/35.09 X := skol10
% 34.71/35.09 Y := Y
% 34.71/35.09 Z := X
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 eqswap: (69062) {G1,W11,D2,L3,V3,M3} { Y = X, ! alpha1( skol10, Y, Z ), !
% 34.71/35.09 alpha1( skol10, Y, X ) }.
% 34.71/35.09 parent0[0]: (69061) {G1,W11,D2,L3,V3,M3} { X = Y, ! alpha1( skol10, Y, Z )
% 34.71/35.09 , ! alpha1( skol10, Y, X ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := X
% 34.71/35.09 Y := Y
% 34.71/35.09 Z := Z
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 subsumption: (62072) {G2,W11,D2,L3,V3,M3} R(600,44) { ! alpha1( skol10, X,
% 34.71/35.09 Y ), X = Z, ! alpha1( skol10, X, Z ) }.
% 34.71/35.09 parent0: (69062) {G1,W11,D2,L3,V3,M3} { Y = X, ! alpha1( skol10, Y, Z ), !
% 34.71/35.09 alpha1( skol10, Y, X ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := Z
% 34.71/35.09 Y := X
% 34.71/35.09 Z := Y
% 34.71/35.09 end
% 34.71/35.09 permutation0:
% 34.71/35.09 0 ==> 1
% 34.71/35.09 1 ==> 0
% 34.71/35.09 2 ==> 2
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 factor: (69066) {G2,W7,D2,L2,V2,M2} { ! alpha1( skol10, X, Y ), X = Y }.
% 34.71/35.09 parent0[0, 2]: (62072) {G2,W11,D2,L3,V3,M3} R(600,44) { ! alpha1( skol10, X
% 34.71/35.09 , Y ), X = Z, ! alpha1( skol10, X, Z ) }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := X
% 34.71/35.09 Y := Y
% 34.71/35.09 Z := Y
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 subsumption: (62112) {G3,W7,D2,L2,V2,M2} F(62072) { ! alpha1( skol10, X, Y
% 34.71/35.09 ), X = Y }.
% 34.71/35.09 parent0: (69066) {G2,W7,D2,L2,V2,M2} { ! alpha1( skol10, X, Y ), X = Y }.
% 34.71/35.09 substitution0:
% 34.71/35.09 X := X
% 34.71/35.09 Y := Y
% 34.71/35.09 end
% 34.71/35.09 permutation0:
% 34.71/35.09 0 ==> 0
% 34.71/35.09 1 ==> 1
% 34.71/35.09 end
% 34.71/35.09
% 34.71/35.09 eqswap: (69068) {G3,W7,D2,L2,V2,M2} { Y = X, ! alpha1( skol10, X, Y ) }.
% 34.71/35.09 parent0[1]: (62112) {G3,W7,D2,L2,V2,M2} F(62072) { ! alpha1(Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------