%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU255+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 : Tue Jul 19 07:11:54 EDT 2022
% Result : Theorem 48.60s 49.01s
% Output : Refutation 48.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU255+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sun Jun 19 06:01:32 EDT 2022
% 0.13/0.33 % CPUTime :
% 7.11/7.53 *** allocated 10000 integers for termspace/termends
% 7.11/7.53 *** allocated 10000 integers for clauses
% 7.11/7.53 *** allocated 10000 integers for justifications
% 7.11/7.53 Bliksem 1.12
% 7.11/7.53
% 7.11/7.53
% 7.11/7.53 Automatic Strategy Selection
% 7.11/7.53
% 7.11/7.53
% 7.11/7.53 Clauses:
% 7.11/7.53
% 7.11/7.53 { ! in( X, Y ), ! in( Y, X ) }.
% 7.11/7.53 { ! empty( X ), function( X ) }.
% 7.11/7.53 { ! relation( X ), ! empty( X ), ! function( X ), relation( X ) }.
% 7.11/7.53 { ! relation( X ), ! empty( X ), ! function( X ), function( X ) }.
% 7.11/7.53 { ! relation( X ), ! empty( X ), ! function( X ), one_to_one( X ) }.
% 7.11/7.53 { unordered_pair( X, Y ) = unordered_pair( Y, X ) }.
% 7.11/7.53 { set_intersection2( X, Y ) = set_intersection2( Y, X ) }.
% 7.11/7.53 { ordered_pair( X, Y ) = unordered_pair( unordered_pair( X, Y ), singleton
% 7.11/7.53 ( X ) ) }.
% 7.11/7.53 { ! relation( X ), relation_restriction( X, Y ) = set_intersection2( X,
% 7.11/7.53 cartesian_product2( Y, Y ) ) }.
% 7.11/7.53 { && }.
% 7.11/7.53 { && }.
% 7.11/7.53 { && }.
% 7.11/7.53 { ! relation( X ), relation( relation_restriction( X, Y ) ) }.
% 7.11/7.53 { && }.
% 7.11/7.53 { && }.
% 7.11/7.53 { && }.
% 7.11/7.53 { && }.
% 7.11/7.53 { element( skol1( X ), X ) }.
% 7.11/7.53 { empty( empty_set ) }.
% 7.11/7.53 { ! empty( ordered_pair( X, Y ) ) }.
% 7.11/7.53 { set_intersection2( X, X ) = X }.
% 7.11/7.53 { ! relation( X ), ! antisymmetric( X ), ! alpha1( X, Y, Z ), Y = Z }.
% 7.11/7.53 { ! relation( X ), alpha1( X, skol2( X ), skol9( X ) ), antisymmetric( X )
% 7.11/7.53 }.
% 7.11/7.53 { ! relation( X ), ! skol2( X ) = skol9( X ), antisymmetric( X ) }.
% 7.11/7.53 { ! alpha1( X, Y, Z ), in( ordered_pair( Y, Z ), X ) }.
% 7.11/7.53 { ! alpha1( X, Y, Z ), in( ordered_pair( Z, Y ), X ) }.
% 7.11/7.53 { ! in( ordered_pair( Y, Z ), X ), ! in( ordered_pair( Z, Y ), X ), alpha1
% 7.11/7.53 ( X, Y, Z ) }.
% 7.11/7.53 { relation( skol3 ) }.
% 7.11/7.53 { function( skol3 ) }.
% 7.11/7.53 { empty( skol4 ) }.
% 7.11/7.53 { relation( skol5 ) }.
% 7.11/7.53 { empty( skol5 ) }.
% 7.11/7.53 { function( skol5 ) }.
% 7.11/7.53 { ! empty( skol6 ) }.
% 7.11/7.53 { relation( skol7 ) }.
% 7.11/7.53 { function( skol7 ) }.
% 7.11/7.53 { one_to_one( skol7 ) }.
% 7.11/7.53 { ! relation( X ), ! in( Y, relation_restriction( X, Z ) ), in( Y, X ) }.
% 7.11/7.53 { ! relation( X ), ! in( Y, relation_restriction( X, Z ) ), in( Y,
% 7.11/7.53 cartesian_product2( Z, Z ) ) }.
% 7.11/7.53 { ! relation( X ), ! in( Y, X ), ! in( Y, cartesian_product2( Z, Z ) ), in
% 7.11/7.53 ( Y, relation_restriction( X, Z ) ) }.
% 7.11/7.53 { ! in( X, Y ), element( X, Y ) }.
% 7.11/7.53 { relation( skol8 ) }.
% 7.11/7.53 { antisymmetric( skol8 ) }.
% 7.11/7.53 { ! antisymmetric( relation_restriction( skol8, skol10 ) ) }.
% 7.11/7.53 { set_intersection2( X, empty_set ) = empty_set }.
% 7.11/7.53 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 7.11/7.53 { ! empty( X ), X = empty_set }.
% 7.11/7.53 { ! in( X, Y ), ! empty( Y ) }.
% 7.11/7.53 { ! empty( X ), X = Y, ! empty( Y ) }.
% 7.11/7.53
% 7.11/7.53 percentage equality = 0.136986, percentage horn = 0.951220
% 7.11/7.53 This is a problem with some equality
% 7.11/7.53
% 7.11/7.53
% 7.11/7.53
% 7.11/7.53 Options Used:
% 7.11/7.53
% 7.11/7.53 useres = 1
% 7.11/7.53 useparamod = 1
% 7.11/7.53 useeqrefl = 1
% 7.11/7.53 useeqfact = 1
% 7.11/7.53 usefactor = 1
% 7.11/7.53 usesimpsplitting = 0
% 7.11/7.53 usesimpdemod = 5
% 7.11/7.53 usesimpres = 3
% 7.11/7.53
% 7.11/7.53 resimpinuse = 1000
% 7.11/7.53 resimpclauses = 20000
% 7.11/7.53 substype = eqrewr
% 7.11/7.53 backwardsubs = 1
% 7.11/7.53 selectoldest = 5
% 7.11/7.53
% 7.11/7.53 litorderings [0] = split
% 7.11/7.53 litorderings [1] = extend the termordering, first sorting on arguments
% 7.11/7.53
% 7.11/7.53 termordering = kbo
% 7.11/7.53
% 7.11/7.53 litapriori = 0
% 7.11/7.53 termapriori = 1
% 7.11/7.53 litaposteriori = 0
% 7.11/7.53 termaposteriori = 0
% 7.11/7.53 demodaposteriori = 0
% 7.11/7.53 ordereqreflfact = 0
% 7.11/7.53
% 7.11/7.53 litselect = negord
% 7.11/7.53
% 7.11/7.53 maxweight = 15
% 7.11/7.53 maxdepth = 30000
% 7.11/7.53 maxlength = 115
% 7.11/7.53 maxnrvars = 195
% 7.11/7.53 excuselevel = 1
% 7.11/7.53 increasemaxweight = 1
% 7.11/7.53
% 7.11/7.53 maxselected = 10000000
% 7.11/7.53 maxnrclauses = 10000000
% 7.11/7.53
% 7.11/7.53 showgenerated = 0
% 7.11/7.53 showkept = 0
% 7.11/7.53 showselected = 0
% 7.11/7.53 showdeleted = 0
% 7.11/7.53 showresimp = 1
% 7.11/7.53 showstatus = 2000
% 7.11/7.53
% 7.11/7.53 prologoutput = 0
% 7.11/7.53 nrgoals = 5000000
% 7.11/7.53 totalproof = 1
% 7.11/7.53
% 7.11/7.53 Symbols occurring in the translation:
% 7.11/7.53
% 7.11/7.53 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 7.11/7.53 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 7.11/7.53 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 7.11/7.53 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 7.11/7.53 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.11/7.53 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.11/7.53 in [37, 2] (w:1, o:55, a:1, s:1, b:0),
% 7.11/7.53 empty [38, 1] (w:1, o:22, a:1, s:1, b:0),
% 7.11/7.53 function [39, 1] (w:1, o:23, a:1, s:1, b:0),
% 7.11/7.53 relation [40, 1] (w:1, o:24, a:1, s:1, b:0),
% 7.11/7.53 one_to_one [41, 1] (w:1, o:25, a:1, s:1, b:0),
% 7.11/7.53 unordered_pair [42, 2] (w:1, o:56, a:1, s:1, b:0),
% 7.11/7.53 set_intersection2 [43, 2] (w:1, o:58, a:1, s:1, b:0),
% 7.11/7.53 ordered_pair [44, 2] (w:1, o:59, a:1, s:1, b:0),
% 48.60/49.01 singleton [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 48.60/49.01 relation_restriction [46, 2] (w:1, o:57, a:1, s:1, b:0),
% 48.60/49.01 cartesian_product2 [47, 2] (w:1, o:60, a:1, s:1, b:0),
% 48.60/49.01 element [48, 2] (w:1, o:61, a:1, s:1, b:0),
% 48.60/49.01 empty_set [49, 0] (w:1, o:8, a:1, s:1, b:0),
% 48.60/49.01 antisymmetric [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 48.60/49.01 alpha1 [52, 3] (w:1, o:62, a:1, s:1, b:1),
% 48.60/49.01 skol1 [53, 1] (w:1, o:28, a:1, s:1, b:1),
% 48.60/49.01 skol2 [54, 1] (w:1, o:29, a:1, s:1, b:1),
% 48.60/49.01 skol3 [55, 0] (w:1, o:10, a:1, s:1, b:1),
% 48.60/49.01 skol4 [56, 0] (w:1, o:11, a:1, s:1, b:1),
% 48.60/49.01 skol5 [57, 0] (w:1, o:12, a:1, s:1, b:1),
% 48.60/49.01 skol6 [58, 0] (w:1, o:13, a:1, s:1, b:1),
% 48.60/49.01 skol7 [59, 0] (w:1, o:14, a:1, s:1, b:1),
% 48.60/49.01 skol8 [60, 0] (w:1, o:15, a:1, s:1, b:1),
% 48.60/49.01 skol9 [61, 1] (w:1, o:30, a:1, s:1, b:1),
% 48.60/49.01 skol10 [62, 0] (w:1, o:16, a:1, s:1, b:1).
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Starting Search:
% 48.60/49.01
% 48.60/49.01 *** allocated 15000 integers for clauses
% 48.60/49.01 *** allocated 22500 integers for clauses
% 48.60/49.01 *** allocated 33750 integers for clauses
% 48.60/49.01 *** allocated 50625 integers for clauses
% 48.60/49.01 *** allocated 15000 integers for termspace/termends
% 48.60/49.01 *** allocated 75937 integers for clauses
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 *** allocated 22500 integers for termspace/termends
% 48.60/49.01 *** allocated 113905 integers for clauses
% 48.60/49.01 *** allocated 33750 integers for termspace/termends
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 6361
% 48.60/49.01 Kept: 2043
% 48.60/49.01 Inuse: 212
% 48.60/49.01 Deleted: 41
% 48.60/49.01 Deletedinuse: 17
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 *** allocated 50625 integers for termspace/termends
% 48.60/49.01 *** allocated 170857 integers for clauses
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 *** allocated 75937 integers for termspace/termends
% 48.60/49.01 *** allocated 256285 integers for clauses
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 15532
% 48.60/49.01 Kept: 4065
% 48.60/49.01 Inuse: 341
% 48.60/49.01 Deleted: 55
% 48.60/49.01 Deletedinuse: 19
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 *** allocated 113905 integers for termspace/termends
% 48.60/49.01 *** allocated 384427 integers for clauses
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 25788
% 48.60/49.01 Kept: 6085
% 48.60/49.01 Inuse: 441
% 48.60/49.01 Deleted: 70
% 48.60/49.01 Deletedinuse: 31
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 *** allocated 170857 integers for termspace/termends
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 34784
% 48.60/49.01 Kept: 8108
% 48.60/49.01 Inuse: 528
% 48.60/49.01 Deleted: 70
% 48.60/49.01 Deletedinuse: 31
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 *** allocated 576640 integers for clauses
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 45561
% 48.60/49.01 Kept: 10132
% 48.60/49.01 Inuse: 584
% 48.60/49.01 Deleted: 74
% 48.60/49.01 Deletedinuse: 31
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 *** allocated 256285 integers for termspace/termends
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 66604
% 48.60/49.01 Kept: 12136
% 48.60/49.01 Inuse: 655
% 48.60/49.01 Deleted: 80
% 48.60/49.01 Deletedinuse: 31
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 *** allocated 864960 integers for clauses
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 83704
% 48.60/49.01 Kept: 14146
% 48.60/49.01 Inuse: 762
% 48.60/49.01 Deleted: 119
% 48.60/49.01 Deletedinuse: 31
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 100345
% 48.60/49.01 Kept: 16156
% 48.60/49.01 Inuse: 828
% 48.60/49.01 Deleted: 164
% 48.60/49.01 Deletedinuse: 31
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 *** allocated 384427 integers for termspace/termends
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 114942
% 48.60/49.01 Kept: 18164
% 48.60/49.01 Inuse: 894
% 48.60/49.01 Deleted: 168
% 48.60/49.01 Deletedinuse: 31
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying clauses:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 128194
% 48.60/49.01 Kept: 20188
% 48.60/49.01 Inuse: 921
% 48.60/49.01 Deleted: 1276
% 48.60/49.01 Deletedinuse: 31
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 *** allocated 1297440 integers for clauses
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 143292
% 48.60/49.01 Kept: 22199
% 48.60/49.01 Inuse: 978
% 48.60/49.01 Deleted: 1276
% 48.60/49.01 Deletedinuse: 31
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 *** allocated 576640 integers for termspace/termends
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 161979
% 48.60/49.01 Kept: 24284
% 48.60/49.01 Inuse: 1051
% 48.60/49.01 Deleted: 1276
% 48.60/49.01 Deletedinuse: 31
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 191617
% 48.60/49.01 Kept: 26288
% 48.60/49.01 Inuse: 1171
% 48.60/49.01 Deleted: 1276
% 48.60/49.01 Deletedinuse: 31
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 204089
% 48.60/49.01 Kept: 28387
% 48.60/49.01 Inuse: 1223
% 48.60/49.01 Deleted: 1310
% 48.60/49.01 Deletedinuse: 57
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 221380
% 48.60/49.01 Kept: 30396
% 48.60/49.01 Inuse: 1277
% 48.60/49.01 Deleted: 1320
% 48.60/49.01 Deletedinuse: 63
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 241491
% 48.60/49.01 Kept: 32458
% 48.60/49.01 Inuse: 1353
% 48.60/49.01 Deleted: 1361
% 48.60/49.01 Deletedinuse: 63
% 48.60/49.01
% 48.60/49.01 *** allocated 1946160 integers for clauses
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 280021
% 48.60/49.01 Kept: 34458
% 48.60/49.01 Inuse: 1466
% 48.60/49.01 Deleted: 1368
% 48.60/49.01 Deletedinuse: 63
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 *** allocated 864960 integers for termspace/termends
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 334184
% 48.60/49.01 Kept: 36469
% 48.60/49.01 Inuse: 1642
% 48.60/49.01 Deleted: 1389
% 48.60/49.01 Deletedinuse: 71
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 362060
% 48.60/49.01 Kept: 38469
% 48.60/49.01 Inuse: 1693
% 48.60/49.01 Deleted: 1389
% 48.60/49.01 Deletedinuse: 71
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying clauses:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 429351
% 48.60/49.01 Kept: 40473
% 48.60/49.01 Inuse: 1887
% 48.60/49.01 Deleted: 4626
% 48.60/49.01 Deletedinuse: 71
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 456549
% 48.60/49.01 Kept: 42539
% 48.60/49.01 Inuse: 1942
% 48.60/49.01 Deleted: 4626
% 48.60/49.01 Deletedinuse: 71
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 495482
% 48.60/49.01 Kept: 44539
% 48.60/49.01 Inuse: 1998
% 48.60/49.01 Deleted: 4626
% 48.60/49.01 Deletedinuse: 71
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 523870
% 48.60/49.01 Kept: 46643
% 48.60/49.01 Inuse: 2033
% 48.60/49.01 Deleted: 4626
% 48.60/49.01 Deletedinuse: 71
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 562776
% 48.60/49.01 Kept: 48709
% 48.60/49.01 Inuse: 2069
% 48.60/49.01 Deleted: 4626
% 48.60/49.01 Deletedinuse: 71
% 48.60/49.01
% 48.60/49.01 *** allocated 2919240 integers for clauses
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 595055
% 48.60/49.01 Kept: 50732
% 48.60/49.01 Inuse: 2133
% 48.60/49.01 Deleted: 4626
% 48.60/49.01 Deletedinuse: 71
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 *** allocated 1297440 integers for termspace/termends
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 661418
% 48.60/49.01 Kept: 52750
% 48.60/49.01 Inuse: 2234
% 48.60/49.01 Deleted: 4626
% 48.60/49.01 Deletedinuse: 71
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 720315
% 48.60/49.01 Kept: 54758
% 48.60/49.01 Inuse: 2318
% 48.60/49.01 Deleted: 4626
% 48.60/49.01 Deletedinuse: 71
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 771117
% 48.60/49.01 Kept: 56830
% 48.60/49.01 Inuse: 2394
% 48.60/49.01 Deleted: 4626
% 48.60/49.01 Deletedinuse: 71
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Intermediate Status:
% 48.60/49.01 Generated: 802308
% 48.60/49.01 Kept: 58861
% 48.60/49.01 Inuse: 2444
% 48.60/49.01 Deleted: 4626
% 48.60/49.01 Deletedinuse: 71
% 48.60/49.01
% 48.60/49.01 Resimplifying inuse:
% 48.60/49.01 Done
% 48.60/49.01
% 48.60/49.01 Resimplifying clauses:
% 48.60/49.01
% 48.60/49.01 Bliksems!, er is een bewijs:
% 48.60/49.01 % SZS status Theorem
% 48.60/49.01 % SZS output start Refutation
% 48.60/49.01
% 48.60/49.01 (8) {G0,W6,D3,L2,V2,M2} I { ! relation( X ), relation( relation_restriction
% 48.60/49.01 ( X, Y ) ) }.
% 48.60/49.01 (13) {G0,W11,D2,L4,V3,M4} I { ! relation( X ), ! antisymmetric( X ), !
% 48.60/49.01 alpha1( X, Y, Z ), Y = Z }.
% 48.60/49.01 (14) {G0,W10,D3,L3,V1,M3} I { ! relation( X ), alpha1( X, skol2( X ), skol9
% 48.60/49.01 ( X ) ), antisymmetric( X ) }.
% 48.60/49.01 (15) {G0,W9,D3,L3,V1,M3} I { ! relation( X ), ! skol9( X ) ==> skol2( X ),
% 48.60/49.01 antisymmetric( X ) }.
% 48.60/49.01 (16) {G0,W9,D3,L2,V3,M2} I { ! alpha1( X, Y, Z ), in( ordered_pair( Y, Z )
% 48.60/49.01 , X ) }.
% 48.60/49.01 (17) {G0,W9,D3,L2,V3,M2} I { ! alpha1( X, Y, Z ), in( ordered_pair( Z, Y )
% 48.60/49.01 , X ) }.
% 48.60/49.01 (18) {G0,W14,D3,L3,V3,M3} I { ! in( ordered_pair( Y, Z ), X ), ! in(
% 48.60/49.01 ordered_pair( Z, Y ), X ), alpha1( X, Y, Z ) }.
% 48.60/49.01 (29) {G0,W10,D3,L3,V3,M3} I { ! relation( X ), ! in( Y,
% 48.60/49.01 relation_restriction( X, Z ) ), in( Y, X ) }.
% 48.60/49.01 (33) {G0,W2,D2,L1,V0,M1} I { relation( skol8 ) }.
% 48.60/49.01 (34) {G0,W2,D2,L1,V0,M1} I { antisymmetric( skol8 ) }.
% 48.60/49.01 (35) {G0,W4,D3,L1,V0,M1} I { ! antisymmetric( relation_restriction( skol8,
% 48.60/49.01 skol10 ) ) }.
% 48.60/49.01 (87) {G1,W4,D3,L1,V1,M1} R(8,33) { relation( relation_restriction( skol8, X
% 48.60/49.01 ) ) }.
% 48.60/49.01 (101) {G1,W7,D2,L2,V2,M2} R(13,33);r(34) { ! alpha1( skol8, X, Y ), X = Y
% 48.60/49.01 }.
% 48.60/49.01 (197) {G2,W12,D4,L1,V0,M1} R(14,35);r(87) { alpha1( relation_restriction(
% 48.60/49.01 skol8, skol10 ), skol2( relation_restriction( skol8, skol10 ) ), skol9(
% 48.60/49.01 relation_restriction( skol8, skol10 ) ) ) }.
% 48.60/49.01 (218) {G2,W9,D4,L1,V0,M1} R(15,35);r(87) { ! skol9( relation_restriction(
% 48.60/49.01 skol8, skol10 ) ) ==> skol2( relation_restriction( skol8, skol10 ) ) }.
% 48.60/49.01 (332) {G1,W13,D3,L3,V4,M3} R(29,17) { ! relation( X ), in( ordered_pair( Y
% 48.60/49.01 , Z ), X ), ! alpha1( relation_restriction( X, T ), Z, Y ) }.
% 48.60/49.01 (333) {G1,W13,D3,L3,V4,M3} R(29,16) { ! relation( X ), in( ordered_pair( Y
% 48.60/49.01 , Z ), X ), ! alpha1( relation_restriction( X, T ), Y, Z ) }.
% 48.60/49.01 (12867) {G3,W13,D4,L2,V1,M2} P(101,218) { ! X = skol2( relation_restriction
% 48.60/49.01 ( skol8, skol10 ) ), ! alpha1( skol8, X, skol9( relation_restriction(
% 48.60/49.01 skol8, skol10 ) ) ) }.
% 48.60/49.01 (12869) {G4,W10,D4,L1,V0,M1} Q(12867) { ! alpha1( skol8, skol2(
% 48.60/49.01 relation_restriction( skol8, skol10 ) ), skol9( relation_restriction(
% 48.60/49.01 skol8, skol10 ) ) ) }.
% 48.60/49.01 (24825) {G3,W11,D5,L1,V0,M1} R(332,197);r(33) { in( ordered_pair( skol9(
% 48.60/49.01 relation_restriction( skol8, skol10 ) ), skol2( relation_restriction(
% 48.60/49.01 skol8, skol10 ) ) ), skol8 ) }.
% 48.60/49.01 (24936) {G3,W11,D5,L1,V0,M1} R(333,197);r(33) { in( ordered_pair( skol2(
% 48.60/49.01 relation_restriction( skol8, skol10 ) ), skol9( relation_restriction(
% 48.60/49.01 skol8, skol10 ) ) ), skol8 ) }.
% 48.60/49.01 (60130) {G5,W11,D5,L1,V0,M1} R(12869,18);r(24936) { ! in( ordered_pair(
% 48.60/49.01 skol9( relation_restriction( skol8, skol10 ) ), skol2(
% 48.60/49.01 relation_restriction( skol8, skol10 ) ) ), skol8 ) }.
% 48.60/49.01 (60175) {G6,W0,D0,L0,V0,M0} S(60130);r(24825) { }.
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 % SZS output end Refutation
% 48.60/49.01 found a proof!
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Unprocessed initial clauses:
% 48.60/49.01
% 48.60/49.01 (60177) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 48.60/49.01 (60178) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 48.60/49.01 (60179) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 48.60/49.01 ), relation( X ) }.
% 48.60/49.01 (60180) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 48.60/49.01 ), function( X ) }.
% 48.60/49.01 (60181) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 48.60/49.01 ), one_to_one( X ) }.
% 48.60/49.01 (60182) {G0,W7,D3,L1,V2,M1} { unordered_pair( X, Y ) = unordered_pair( Y,
% 48.60/49.01 X ) }.
% 48.60/49.01 (60183) {G0,W7,D3,L1,V2,M1} { set_intersection2( X, Y ) =
% 48.60/49.01 set_intersection2( Y, X ) }.
% 48.60/49.01 (60184) {G0,W10,D4,L1,V2,M1} { ordered_pair( X, Y ) = unordered_pair(
% 48.60/49.01 unordered_pair( X, Y ), singleton( X ) ) }.
% 48.60/49.01 (60185) {G0,W11,D4,L2,V2,M2} { ! relation( X ), relation_restriction( X, Y
% 48.60/49.01 ) = set_intersection2( X, cartesian_product2( Y, Y ) ) }.
% 48.60/49.01 (60186) {G0,W1,D1,L1,V0,M1} { && }.
% 48.60/49.01 (60187) {G0,W1,D1,L1,V0,M1} { && }.
% 48.60/49.01 (60188) {G0,W1,D1,L1,V0,M1} { && }.
% 48.60/49.01 (60189) {G0,W6,D3,L2,V2,M2} { ! relation( X ), relation(
% 48.60/49.01 relation_restriction( X, Y ) ) }.
% 48.60/49.01 (60190) {G0,W1,D1,L1,V0,M1} { && }.
% 48.60/49.01 (60191) {G0,W1,D1,L1,V0,M1} { && }.
% 48.60/49.01 (60192) {G0,W1,D1,L1,V0,M1} { && }.
% 48.60/49.01 (60193) {G0,W1,D1,L1,V0,M1} { && }.
% 48.60/49.01 (60194) {G0,W4,D3,L1,V1,M1} { element( skol1( X ), X ) }.
% 48.60/49.01 (60195) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 48.60/49.01 (60196) {G0,W4,D3,L1,V2,M1} { ! empty( ordered_pair( X, Y ) ) }.
% 48.60/49.01 (60197) {G0,W5,D3,L1,V1,M1} { set_intersection2( X, X ) = X }.
% 48.60/49.01 (60198) {G0,W11,D2,L4,V3,M4} { ! relation( X ), ! antisymmetric( X ), !
% 48.60/49.01 alpha1( X, Y, Z ), Y = Z }.
% 48.60/49.01 (60199) {G0,W10,D3,L3,V1,M3} { ! relation( X ), alpha1( X, skol2( X ),
% 48.60/49.01 skol9( X ) ), antisymmetric( X ) }.
% 48.60/49.01 (60200) {G0,W9,D3,L3,V1,M3} { ! relation( X ), ! skol2( X ) = skol9( X ),
% 48.60/49.01 antisymmetric( X ) }.
% 48.60/49.01 (60201) {G0,W9,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), in( ordered_pair( Y, Z
% 48.60/49.01 ), X ) }.
% 48.60/49.01 (60202) {G0,W9,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), in( ordered_pair( Z, Y
% 48.60/49.01 ), X ) }.
% 48.60/49.01 (60203) {G0,W14,D3,L3,V3,M3} { ! in( ordered_pair( Y, Z ), X ), ! in(
% 48.60/49.01 ordered_pair( Z, Y ), X ), alpha1( X, Y, Z ) }.
% 48.60/49.01 (60204) {G0,W2,D2,L1,V0,M1} { relation( skol3 ) }.
% 48.60/49.01 (60205) {G0,W2,D2,L1,V0,M1} { function( skol3 ) }.
% 48.60/49.01 (60206) {G0,W2,D2,L1,V0,M1} { empty( skol4 ) }.
% 48.60/49.01 (60207) {G0,W2,D2,L1,V0,M1} { relation( skol5 ) }.
% 48.60/49.01 (60208) {G0,W2,D2,L1,V0,M1} { empty( skol5 ) }.
% 48.60/49.01 (60209) {G0,W2,D2,L1,V0,M1} { function( skol5 ) }.
% 48.60/49.01 (60210) {G0,W2,D2,L1,V0,M1} { ! empty( skol6 ) }.
% 48.60/49.01 (60211) {G0,W2,D2,L1,V0,M1} { relation( skol7 ) }.
% 48.60/49.01 (60212) {G0,W2,D2,L1,V0,M1} { function( skol7 ) }.
% 48.60/49.01 (60213) {G0,W2,D2,L1,V0,M1} { one_to_one( skol7 ) }.
% 48.60/49.01 (60214) {G0,W10,D3,L3,V3,M3} { ! relation( X ), ! in( Y,
% 48.60/49.01 relation_restriction( X, Z ) ), in( Y, X ) }.
% 48.60/49.01 (60215) {G0,W12,D3,L3,V3,M3} { ! relation( X ), ! in( Y,
% 48.60/49.01 relation_restriction( X, Z ) ), in( Y, cartesian_product2( Z, Z ) ) }.
% 48.60/49.01 (60216) {G0,W15,D3,L4,V3,M4} { ! relation( X ), ! in( Y, X ), ! in( Y,
% 48.60/49.01 cartesian_product2( Z, Z ) ), in( Y, relation_restriction( X, Z ) ) }.
% 48.60/49.01 (60217) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 48.60/49.01 (60218) {G0,W2,D2,L1,V0,M1} { relation( skol8 ) }.
% 48.60/49.01 (60219) {G0,W2,D2,L1,V0,M1} { antisymmetric( skol8 ) }.
% 48.60/49.01 (60220) {G0,W4,D3,L1,V0,M1} { ! antisymmetric( relation_restriction( skol8
% 48.60/49.01 , skol10 ) ) }.
% 48.60/49.01 (60221) {G0,W5,D3,L1,V1,M1} { set_intersection2( X, empty_set ) =
% 48.60/49.01 empty_set }.
% 48.60/49.01 (60222) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 48.60/49.01 }.
% 48.60/49.01 (60223) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 48.60/49.01 (60224) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 48.60/49.01 (60225) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 48.60/49.01
% 48.60/49.01
% 48.60/49.01 Total Proof:
% 48.60/49.01
% 48.60/49.01 subsumption: (8) {G0,W6,D3,L2,V2,M2} I { ! relation( X ), relation(
% 48.60/49.01 relation_restriction( X, Y ) ) }.
% 48.60/49.01 parent0: (60189) {G0,W6,D3,L2,V2,M2} { ! relation( X ), relation(
% 48.60/49.01 relation_restriction( X, Y ) ) }.
% 48.60/49.01 substitution0:
% 48.60/49.01 X := X
% 48.60/49.01 Y := Y
% 48.60/49.01 end
% 48.60/49.01 permutation0:
% 48.60/49.01 0 ==> 0
% 48.60/49.01 1 ==> 1
% 48.60/49.01 end
% 48.60/49.01
% 48.60/49.01 subsumption: (13) {G0,W11,D2,L4,V3,M4} I { ! relation( X ), ! antisymmetric
% 48.60/49.01 ( X ), ! alpha1( X, Y, Z ), Y = Z }.
% 48.60/49.01 parent0: (60198) {G0,W11,D2,L4,V3,M4} { ! relation( X ), ! antisymmetric(
% 48.60/49.01 X ), ! alpha1( X, Y, Z ), Y = Z }.
% 48.60/49.01 substitution0:
% 48.60/49.01 X := X
% 48.60/49.01 Y := Y
% 48.60/49.01 Z := Z
% 48.60/49.01 end
% 48.60/49.01 permutation0:
% 48.60/49.01 0 ==> 0
% 48.60/49.01 1 ==> 1
% 48.60/49.01 2 ==> 2
% 48.60/49.01 3 ==> 3
% 48.60/49.01 end
% 48.60/49.01
% 48.60/49.01 subsumption: (14) {G0,W10,D3,L3,V1,M3} I { ! relation( X ), alpha1( X,
% 48.60/49.01 skol2( X ), skol9( X ) ), antisymmetric( X ) }.
% 48.60/49.01 parent0: (60199) {G0,W10,D3,L3,V1,M3} { ! relation( X ), alpha1( X, skol2
% 48.60/49.01 ( X ), skol9( X ) ), antisymmetric( X ) }.
% 48.60/49.01 substitution0:
% 48.60/49.01 X := X
% 48.60/49.01 end
% 48.60/49.01 permutation0:
% 48.60/49.01 0 ==> 0
% 48.60/49.01 1 ==> 1
% 48.60/49.01 2 ==> 2
% 48.60/49.01 end
% 48.60/49.01
% 48.60/49.01 eqswap: (60244) {G0,W9,D3,L3,V1,M3} { ! skol9( X ) = skol2( X ), !
% 48.60/49.01 relation( X ), antisymmetric( X ) }.
% 48.60/49.01 parent0[1]: (60200) {G0,W9,D3,L3,V1,M3} { ! relation( X ), ! skol2( X ) =
% 48.60/49.01 skol9( X ), antisymmetric( X ) }.
% 48.60/49.01 substitution0:
% 48.60/49.01 X := X
% 48.60/49.01 end
% 48.60/49.01
% 48.60/49.01 subsumption: (15) {G0,W9,D3,L3,V1,M3} I { ! relation( X ), ! skol9( X ) ==>
% 48.60/49.01 skol2( X ), antisymmetric( X ) }.
% 48.60/49.01 parent0: (60244) {G0,W9,D3,L3,V1,M3} { ! skol9( X ) = skol2( X ), !
% 48.60/49.01 relation( X ), antisymmetric( X ) }.
% 48.60/49.01 substitution0:
% 48.60/49.01 X := X
% 48.60/49.01 end
% 48.60/49.01 permutation0:
% 48.60/49.01 0 ==> 1
% 48.60/49.01 1 ==> 0
% 48.60/49.01 2 ==> 2
% 48.60/49.01 end
% 48.60/49.01
% 48.60/49.01 subsumption: (16) {G0,W9,D3,L2,V3,M2} I { ! alpha1( X, Y, Z ), in(
% 48.60/49.01 ordered_pair( Y, Z ), X ) }.
% 48.60/49.01 parent0: (60201) {G0,W9,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), in(
% 48.60/49.01 ordered_pair( Y, Z ), X ) }.
% 48.60/49.01 substitution0:
% 48.60/49.01 X := X
% 48.60/49.01 Y := Y
% 48.60/49.01 Z := Z
% 48.60/49.01 end
% 48.60/49.01 permutation0:
% 48.60/49.01 0 ==> 0
% 48.60/49.01 1 ==> 1
% 48.60/49.01 end
% 48.60/49.01
% 48.60/49.01 subsumption: (17) {G0,W9,D3,L2,V3,M2} I { ! alpha1( X, Y, Z ), in(
% 48.60/49.01 ordered_pair( Z, Y ), X ) }.
% 48.60/49.01 parent0: (60202) {G0,W9,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), in(
% 48.60/49.01 ordered_pair( Z, Y ), X ) }.
% 48.60/49.01 substitution0:
% 48.60/49.01 X := X
% 48.60/49.01 Y := Y
% 48.60/49.01 Z := Z
% 48.60/49.01 end
% 48.60/49.01 permutation0:
% 48.60/49.01 0 ==> 0
% 48.60/49.01 1 ==> 1
% 48.60/49.01 end
% 48.60/49.01
% 48.60/49.01 subsumption: (18) {G0,W14,D3,L3,V3,M3} I { ! in( ordered_pair( Y, Z ), X )
% 48.60/49.01 , ! in( ordered_pair( Z, Y ), X ), alpha1( X, Y, Z ) }.
% 48.60/49.01 parent0: (60203) {G0,W14,D3,L3,V3,M3} { ! in( ordered_pair( Y, Z ), X ), !
% 48.60/49.01 in( ordered_pair( Z, Y ), X ), alpha1( X, Y, Z ) }.
% 48.60/49.01 substitution0:
% 48.60/49.01 X := X
% 48.60/49.01 Y := Y
% 48.60/49.01 Z := Z
% 48.60/49.01 end
% 48.60/49.01 permutation0:
% 48.60/49.01 0 ==> 0
% 48.60/49.01 1 ==> 1
% 48.60/49.01 2 ==> 2
% 48.60/49.01 end
% 48.60/49.01
% 48.60/49.01 subsumption: (29) {G0,W10,D3,L3,V3,M3} I { ! relation( X ), ! in( Y,
% 48.60/49.01 relation_restriction( X, Z ) ), in( Y, X ) }.
% 48.60/49.01 parent0: (60214) {G0,W10,D3,L3,V3,M3} { ! relation( X ), ! in( Y,
% 48.60/49.01 relation_restriction( X, Z ) ), in( Y, X ) }.
% 48.60/49.01 substitution0:
% 48.60/49.01 X := X
% 48.60/49.01 Y := Y
% 48.60/49.01 Z := Z
% 48.60/49.01 end
% 48.60/49.01 permutation0:
% 48.60/49.01 0 ==> 0
% 48.60/49.01 1 ==> 1
% 48.60/49.01 2 ==> 2
% 48.60/49.01 end
% 48.60/49.01
% 48.60/49.01 subsumption: (33) {G0,W2,D2,L1,V0,M1} I { relation( skol8 ) }.
% 48.60/49.01 parent0: (60218) {G0,W2,D2,L1,V0,M1} { relation( skol8 ) }.
% 48.60/49.01 substitution0:
% 48.60/49.01 end
% 48.60/49.01 permutation0:
% 48.60/49.01 0 ==> 0
% 48.60/49.01 end
% 48.60/49.01
% 48.60/49.01 subsumption: (34) {G0,W2,D2,L1,V0,M1} I { antisymmetric( skol8 ) }.
% 48.60/49.01 parent0: (60219) {G0,W2,D2,L1,V0,M1} { antisymmetric( skol8 ) }.
% 48.60/49.01 substitution0:
% 48.60/49.01 end
% 48.60/49.01 permutation0:
% 48.60/49.01 0 ==> 0
% 48.60/49.01 end
% 48.60/49.01
% 48.60/49.01 subsumption: (35) {G0,W4,D3,L1,V0,M1} I { ! antisymmetric(
% 48.60/49.01 relation_restriction( skol8, skol10 ) ) }.
% 48.60/49.01 parent0: (60220) {G0,W4,D3,L1,V0,M1} { ! antisymmetric(
% 48.60/49.01 relation_restriction( skol8, skol10 ) ) }.
% 48.60/49.01 substitution0:
% 48.60/49.01 end
% 48.60/49.01 permutation0:
% 48.60/49.01 0 ==> 0
% 48.60/49.01 end
% 48.60/49.01
% 48.60/49.01 resolution: (60295) {G1,W4,D3,L1,V1,M1} { relation( relation_restriction(
% 48.60/49.01 skol8, X ) ) }.
% 48.60/49.01 parent0[0]: (8) {G0,W6,D3,L2,V2,M2} I { ! relation( X ), relation(
% 48.60/49.01 relation_restriction( X, Y ) ) }.
% 48.60/49.01 parent1[0]: (33) {G0,W2,D2,L1,V0,M1} I { relation( skol8 ) }.
% 48.60/49.01 substitution0:
% 48.60/49.01 X := skol8
% 48.60/49.01 Y := X
% 48.60/49.01 end
% 48.60/49.01 substitution1:
% 48.60/49.01 end
% 48.60/49.01
% 48.60/49.01 subsumption: (87) {G1,W4,D3,L1,V1,M1} R(8,33) { relation(
% 48.60/49.01 relation_restriction( skol8, X ) ) }.
% 48.60/49.01 parent0: (60295) {G1,W4,D3,L1,V1,M1} { relation( relation_restriction(
% 48.60/49.01 skol8, X ) ) }.
% 48.60/49.01 substitution0:
% 48.60/49.01 X := X
% 48.60/49.01 end
% 48.60/49.01 permutation0:
% 48.60/49.01 0 ==> 0
% 48.60/49.01 end
% 48.60/49.01
% 48.60/49.01 eqswap: (60296) {G0,W11,D2,L4,V3,M4} { Y = X, ! relation( Z ), !
% 48.60/49.01 antisymmetric( Z ), ! alpha1( Z, X, Y ) }.
% 48.60/49.01 parent0[3]: (13) {G0,W11,D2,L4,V3,M4} I { ! relation( X ), ! antisymmetric
% 48.60/49.01 ( X ), ! alpha1( X, Y, Z ), Y = Z }.
% 48.60/49.01 substitution0:
% 48.60/49.01 X := Z
% 48.60/49.01 Y := X
% 48.60/49.01 Z := Y
% 48.60/49.01 end
% 48.60/49.01
% 48.60/49.01 resolution: (60297) {G1,W9,D2,L3,V2,M3} { X = Y, ! antisymmetric( skol8 )
% 48.60/49.01 , ! alpha1( skol8, Y, X ) }.
% 48.60/49.01 parent0[1]: (60296) {G0,W11,D2,L4,V3,M4} { Y = X, ! relation( Z ), !
% 48.60/49.01 antisymmetric( Z ), ! alpha1( Z, X, Y ) }.
% 48.60/49.01 parent1[0]: (33) {G0,W2,D2,L1,V0,M1} I { relation( skol8 ) }.
% 48.60/49.01 substitution0:
% 48.60/49.01 X := Y
% 48.60/49.01 Y := X
% 48.60/49.01 Z := skol8
% 48.60/49.01 end
% 48.60/49.01 substitution1:
% 48.60/49.01 end
% 48.60/49.01
% 48.60/49.01 resolution: (60298) {G1,W7,D2,L2,V2,M2} { X = Y, ! alpha1( skol8, Y, X )
% 48.60/49.01 }.
% 48.60/49.01 parent0[1]: (60297) {G1,W9,D2,L3,V2,M3} { X = Y, ! antisymmetric( skol8 )
% 48.60/49.01 , ! alpha1( skol8, Y, X ) }.
% 48.60/49.01 parent1[0]: (34) {G0,W2,D2,L1,V0,M1} I { antisymmetric( skol8 ) }.
% 48.60/49.01 substitution0:
% 48.60/49.01 X := X
% 48.60/49.01 Y := Y
% 48.60/49.01 end
% 48.60/49.01 substitution1:
% 48.60/49.01 end
% 48.60/49.01
% 48.60/49.01 eqswap: (60299) {G1,W7,D2,L2,V2,M2} { Y = X, ! alpha1( skol8, Y, X ) }.
% 48.60/49.01 parent0[0]: (60298) {G1,W7,D2,L2,V2,M2} { X = Y, ! alpha1( skol8, Y, X )
% 48.60/49.01 }.
% 48.60/49.01 substitution0:
% 48.60/49.01 X := X
% 48.60/49.01 Y := Y
% 48.60/49.01 end
% 48.60/49.01
% 48.60/49.01 subsumption: (101) {G1,W7,D2,L2,V2,M2} R(13,33);r(34) { ! alpha1( skol8, X
% 48.60/49.01 , Y ), X = Y }.
% 48.60/49.01 parent0: (60299) {G1,W7,D2,L2,V2,M2} { Y = X, ! alpha1( skol8, Y, X ) }.
% 48.60/49.01 substitution0:
% 48.60/49.01 X := Y
% 48.60/49.01 Y := X
% 48.60/49.01 end
% 48.60/49.01 permutation0:
% 48.60/49.01 0 ==> 1
% 48.60/49.01 1 ==> 0
% 48.60/49.01 end
% 48.60/49.01
% 48.60/49.01 resolution: (60300) {G1,W16,D4,L2,V0,M2} { ! relation(
% 48.60/49.01 relation_restriction( skol8, skol10 ) ), alpha1( relation_restriction(
% 48.60/49.01 skol8, skol10 ), skol2( relation_restriction( skol8, skol10 ) ), skol9(
% 48.60/49.01 relation_restriction( skol8, skol10 ) ) ) }.
% 48.60/49.01 parent0[0]: (35) {G0,W4,D3,L1,V0,M1} I { ! antisymmetric(
% 48.60/49.01 relation_restriction( skol8, skol10 ) ) }.
% 48.60/49.01 parent1[2]: (14) {G0,W10,D3,L3,V1,M3} I { ! relation( X ), alpha1( X, skol2
% 48.60/49.01 ( X ), skol9( X ) ), antisymmetric( X ) }.
% 48.60/49.01 substitution0:
% 48.60/49.01 end
% 48.60/49.01 substitution1:
% 48.60/49.01 X := relation_restriction( skol8, skol10 )
% 48.60/49.01 end
% 48.60/49.01
% 48.60/49.01 resolution: (60301) {G2,W12,D4,L1,V0,M1} { alpha1( relation_restriction(
% 48.60/49.01 skol8, skol10 ), skol2( relation_restriction( skol8, skol10 ) ), skol9(
% 48.60/49.01 relation_restriction( skol8, skol10 ) ) ) }.
% 48.60/49.01 parent0[0]: (60300) {G1,W16,D4,L2,V0,M2} { ! relation(
% 48.60/49.01 relation_restriction( skol8, skol10 ) ), alpha1( relation_restriction(
% 48.60/49.01 skol8, skol10 ), skol2( relation_restriction( skol8, skol10 ) ), skol9(
% 48.60/49.01 relation_restriction( skol8, skol10 ) ) ) }.
% 48.60/49.01 parent1[0]: (87) {G1,W4,D3,L1,V1,M1} R(8,33) { relation(
% 48.60/49.01 relation_restriction( skol8, X ) ) }.
% 48.60/49.01 substitution0:
% 48.60/49.01 end
% 48.60/49.01 substitution1:
% 48.60/49.01 X := skol10
% 48.60/49.01 end
% 48.60/49.01
% 48.60/49.01 subsumption: (197) {G2,W12,D4,L1,V0,M1} R(14,35);r(87) { alpha1(
% 48.60/49.01 relation_restriction( skol8, skol10 ), skol2( relation_restriction( skol8
% 48.60/49.01 , skol10 ) ), skol9( relation_restriction( skol8, skol10 ) ) ) }.
% 48.60/49.01 parent0: (60301) {G2,W12,D4,L1,V0,M1} { alpha1( relation_restriction(
% 48.60/49.01 skol8, skol10 ), skol2( relation_restriction( skol8, skol10 ) ), skol9(
% 48.77/49.14 relation_restriction( skol8, skol10 ) ) ) }.
% 48.77/49.14 substitution0:
% 48.77/49.14 end
% 48.77/49.14 permutation0:
% 48.77/49.14 0 ==> 0
% 48.77/49.14 end
% 48.77/49.14
% 48.77/49.14 eqswap: (60302) {G0,W9,D3,L3,V1,M3} { ! skol2( X ) ==> skol9( X ), !
% 48.77/49.14 relation( X ), antisymmetric( X ) }.
% 48.77/49.14 parent0[1]: (15) {G0,W9,D3,L3,V1,M3} I { ! relation( X ), ! skol9( X ) ==>
% 48.77/49.14 skol2( X ), antisymmetric( X ) }.
% 48.77/49.14 substitution0:
% 48.77/49.14 X := X
% 48.77/49.14 end
% 48.77/49.14
% 48.77/49.14 resolution: (60303) {G1,W13,D4,L2,V0,M2} { ! skol2( relation_restriction(
% 48.77/49.14 skol8, skol10 ) ) ==> skol9( relation_restriction( skol8, skol10 ) ), !
% 48.77/49.14 relation( relation_restriction( skol8, skol10 ) ) }.
% 48.77/49.14 parent0[0]: (35) {G0,W4,D3,L1,V0,M1} I { ! antisymmetric(
% 48.77/49.14 relation_restriction( skol8, skol10 ) ) }.
% 48.77/49.14 parent1[2]: (60302) {G0,W9,D3,L3,V1,M3} { ! skol2( X ) ==> skol9( X ), !
% 48.77/49.14 relation( X ), antisymmetric( X ) }.
% 48.77/49.14 substitution0:
% 48.77/49.14 end
% 48.77/49.14 substitution1:
% 48.77/49.14 X := relation_restriction( skol8, skol10 )
% 48.77/49.14 end
% 48.77/49.14
% 48.77/49.14 resolution: (60304) {G2,W9,D4,L1,V0,M1} { ! skol2( relation_restriction(
% 48.77/49.14 skol8, skol10 ) ) ==> skol9( relation_restriction( skol8, skol10 ) ) }.
% 48.77/49.14 parent0[1]: (60303) {G1,W13,D4,L2,V0,M2} { ! skol2( relation_restriction(
% 48.77/49.14 skol8, skol10 ) ) ==> skol9( relation_restriction( skol8, skol10 ) ), !
% 48.77/49.14 relation( relation_restriction( skol8, skol10 ) ) }.
% 48.77/49.14 parent1[0]: (87) {G1,W4,D3,L1,V1,M1} R(8,33) { relation(
% 48.77/49.14 relation_restriction( skol8, X ) ) }.
% 48.77/49.14 substitution0:
% 48.77/49.14 end
% 48.77/49.14 substitution1:
% 48.77/49.14 X := skol10
% 48.77/49.14 end
% 48.77/49.14
% 48.77/49.14 eqswap: (60305) {G2,W9,D4,L1,V0,M1} { ! skol9( relation_restriction( skol8
% 48.77/49.14 , skol10 ) ) ==> skol2( relation_restriction( skol8, skol10 ) ) }.
% 48.77/49.14 parent0[0]: (60304) {G2,W9,D4,L1,V0,M1} { ! skol2( relation_restriction(
% 48.77/49.14 skol8, skol10 ) ) ==> skol9( relation_restriction( skol8, skol10 ) ) }.
% 48.77/49.14 substitution0:
% 48.77/49.14 end
% 48.77/49.14
% 48.77/49.14 subsumption: (218) {G2,W9,D4,L1,V0,M1} R(15,35);r(87) { ! skol9(
% 48.77/49.14 relation_restriction( skol8, skol10 ) ) ==> skol2( relation_restriction(
% 48.77/49.14 skol8, skol10 ) ) }.
% 48.77/49.14 parent0: (60305) {G2,W9,D4,L1,V0,M1} { ! skol9( relation_restriction(
% 48.77/49.14 skol8, skol10 ) ) ==> skol2( relation_restriction( skol8, skol10 ) ) }.
% 48.77/49.14 substitution0:
% 48.77/49.14 end
% 48.77/49.14 permutation0:
% 48.77/49.14 0 ==> 0
% 48.77/49.14 end
% 48.77/49.14
% 48.77/49.14 resolution: (60306) {G1,W13,D3,L3,V4,M3} { ! relation( X ), in(
% 48.77/49.14 ordered_pair( Y, Z ), X ), ! alpha1( relation_restriction( X, T ), Z, Y )
% 48.77/49.14 }.
% 48.77/49.14 parent0[1]: (29) {G0,W10,D3,L3,V3,M3} I { ! relation( X ), ! in( Y,
% 48.77/49.14 relation_restriction( X, Z ) ), in( Y, X ) }.
% 48.77/49.14 parent1[1]: (17) {G0,W9,D3,L2,V3,M2} I { ! alpha1( X, Y, Z ), in(
% 48.77/49.14 ordered_pair( Z, Y ), X ) }.
% 48.77/49.14 substitution0:
% 48.77/49.14 X := X
% 48.77/49.14 Y := ordered_pair( Y, Z )
% 48.77/49.14 Z := T
% 48.77/49.14 end
% 48.77/49.14 substitution1:
% 48.77/49.14 X := relation_restriction( X, T )
% 48.77/49.14 Y := Z
% 48.77/49.14 Z := Y
% 48.77/49.14 end
% 48.77/49.14
% 48.77/49.14 subsumption: (332) {G1,W13,D3,L3,V4,M3} R(29,17) { ! relation( X ), in(
% 48.77/49.14 ordered_pair( Y, Z ), X ), ! alpha1( relation_restriction( X, T ), Z, Y )
% 48.77/49.14 }.
% 48.77/49.14 parent0: (60306) {G1,W13,D3,L3,V4,M3} { ! relation( X ), in( ordered_pair
% 48.77/49.14 ( Y, Z ), X ), ! alpha1( relation_restriction( X, T ), Z, Y ) }.
% 48.77/49.14 substitution0:
% 48.77/49.14 X := X
% 48.77/49.14 Y := Y
% 48.77/49.14 Z := Z
% 48.77/49.14 T := T
% 48.77/49.14 end
% 48.77/49.14 permutation0:
% 48.77/49.14 0 ==> 0
% 48.77/49.14 1 ==> 1
% 48.77/49.14 2 ==> 2
% 48.77/49.14 end
% 48.77/49.14
% 48.77/49.14 resolution: (60307) {G1,W13,D3,L3,V4,M3} { ! relation( X ), in(
% 48.77/49.14 ordered_pair( Y, Z ), X ), ! alpha1( relation_restriction( X, T ), Y, Z )
% 48.77/49.14 }.
% 48.77/49.14 parent0[1]: (29) {G0,W10,D3,L3,V3,M3} I { ! relation( X ), ! in( Y,
% 48.77/49.14 relation_restriction( X, Z ) ), in( Y, X ) }.
% 48.77/49.14 parent1[1]: (16) {G0,W9,D3,L2,V3,M2} I { ! alpha1( X, Y, Z ), in(
% 48.77/49.14 ordered_pair( Y, Z ), X ) }.
% 48.77/49.14 substitution0:
% 48.77/49.14 X := X
% 48.77/49.14 Y := ordered_pair( Y, Z )
% 48.77/49.14 Z := T
% 48.77/49.14 end
% 48.77/49.14 substitution1:
% 48.77/49.14 X := relation_restriction( X, T )
% 48.77/49.14 Y := Y
% 48.77/49.14 Z := Z
% 48.77/49.14 end
% 48.77/49.14
% 48.77/49.14 subsumption: (333) {G1,W13,D3,L3,V4,M3} R(29,16) { ! relation( X ), in(
% 48.77/49.14 ordered_pair( Y, Z ), X ), ! alpha1( relation_restriction( X, T ), Y, Z )
% 48.77/49.14 }.
% 48.77/49.14 parent0: (60307) {G1,W13,D3,L3,V4,M3} { ! relation( X ), in( ordered_pair
% 48.77/49.14 ( Y, Z ), X ), ! alpha1( relation_restriction( X, T ), Y, Z ) }.
% 48.77/49.14 substitution0:
% 48.77/49.14 X := X
% 48.77/49.14 Y := Y
% 48.77/49.14 Z := Z
% 48.77/49.14 T := T
% 48.77/49.14 end
% 48.77/49.14 permutation0:
% 48.77/49.14 0 ==> 0
% 48.77/49.14 1 ==> 1
% 48.77/49.14 2 ==> 2
% 48.77/49.14 end
% 48.77/49.14
% 48.77/49.14 *** allocated 15000 integers for justifications
% 48.77/49.14 *** allocated 22500 integers for justifications
% 48.77/49.14 *** allocated 33750 integers for justifications
% 48.77/49.14 *** allocated 5Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------