TSTP Solution File: SEU225+3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU225+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 07:11:39 EDT 2022
% Result : Theorem 57.50s 57.91s
% Output : Refutation 57.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU225+3 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 20 06:54:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.74/1.26 *** allocated 10000 integers for termspace/termends
% 0.74/1.26 *** allocated 10000 integers for clauses
% 0.74/1.26 *** allocated 10000 integers for justifications
% 0.74/1.26 Bliksem 1.12
% 0.74/1.26
% 0.74/1.26
% 0.74/1.26 Automatic Strategy Selection
% 0.74/1.26
% 0.74/1.26
% 0.74/1.26 Clauses:
% 0.74/1.26
% 0.74/1.26 { ! in( X, Y ), ! in( Y, X ) }.
% 0.74/1.26 { ! empty( X ), function( X ) }.
% 0.74/1.26 { ! empty( X ), relation( X ) }.
% 0.74/1.26 { ! relation( X ), ! empty( X ), ! function( X ), relation( X ) }.
% 0.74/1.26 { ! relation( X ), ! empty( X ), ! function( X ), function( X ) }.
% 0.74/1.26 { ! relation( X ), ! empty( X ), ! function( X ), one_to_one( X ) }.
% 0.74/1.26 { unordered_pair( X, Y ) = unordered_pair( Y, X ) }.
% 0.74/1.26 { set_intersection2( X, Y ) = set_intersection2( Y, X ) }.
% 0.74/1.26 { ! relation( X ), ! function( X ), ! in( Y, relation_dom( X ) ), ! Z =
% 0.74/1.26 apply( X, Y ), in( ordered_pair( Y, Z ), X ) }.
% 0.74/1.26 { ! relation( X ), ! function( X ), ! in( Y, relation_dom( X ) ), ! in(
% 0.74/1.26 ordered_pair( Y, Z ), X ), Z = apply( X, Y ) }.
% 0.74/1.26 { ! relation( X ), ! function( X ), in( Y, relation_dom( X ) ), ! Z = apply
% 0.74/1.26 ( X, Y ), Z = empty_set }.
% 0.74/1.26 { ! relation( X ), ! function( X ), in( Y, relation_dom( X ) ), ! Z =
% 0.74/1.26 empty_set, Z = apply( X, Y ) }.
% 0.74/1.26 { ordered_pair( X, Y ) = unordered_pair( unordered_pair( X, Y ), singleton
% 0.74/1.26 ( X ) ) }.
% 0.74/1.26 { ! relation( X ), relation( relation_dom_restriction( X, Y ) ) }.
% 0.74/1.26 { element( skol1( X ), X ) }.
% 0.74/1.26 { empty( empty_set ) }.
% 0.74/1.26 { relation( empty_set ) }.
% 0.74/1.26 { relation_empty_yielding( empty_set ) }.
% 0.74/1.26 { ! relation( X ), ! relation_empty_yielding( X ), relation(
% 0.74/1.26 relation_dom_restriction( X, Y ) ) }.
% 0.74/1.26 { ! relation( X ), ! relation_empty_yielding( X ), relation_empty_yielding
% 0.74/1.26 ( relation_dom_restriction( X, Y ) ) }.
% 0.74/1.26 { ! relation( X ), ! relation( Y ), relation( set_intersection2( X, Y ) ) }
% 0.74/1.26 .
% 0.74/1.26 { ! empty( powerset( X ) ) }.
% 0.74/1.26 { empty( empty_set ) }.
% 0.74/1.26 { ! empty( ordered_pair( X, Y ) ) }.
% 0.74/1.26 { ! empty( singleton( X ) ) }.
% 0.74/1.26 { ! empty( unordered_pair( X, Y ) ) }.
% 0.74/1.26 { ! relation( X ), ! function( X ), relation( relation_dom_restriction( X,
% 0.74/1.26 Y ) ) }.
% 0.74/1.26 { ! relation( X ), ! function( X ), function( relation_dom_restriction( X,
% 0.74/1.26 Y ) ) }.
% 0.74/1.26 { empty( empty_set ) }.
% 0.74/1.26 { relation( empty_set ) }.
% 0.74/1.26 { empty( X ), ! relation( X ), ! empty( relation_dom( X ) ) }.
% 0.74/1.26 { ! empty( X ), empty( relation_dom( X ) ) }.
% 0.74/1.26 { ! empty( X ), relation( relation_dom( X ) ) }.
% 0.74/1.26 { set_intersection2( X, X ) = X }.
% 0.74/1.26 { ! relation( X ), ! function( X ), ! in( Z, relation_dom(
% 0.74/1.26 relation_dom_restriction( X, Y ) ) ), in( Z, relation_dom( X ) ) }.
% 0.74/1.26 { ! relation( X ), ! function( X ), ! in( Z, relation_dom(
% 0.74/1.26 relation_dom_restriction( X, Y ) ) ), in( Z, Y ) }.
% 0.74/1.26 { ! relation( X ), ! function( X ), ! in( Z, relation_dom( X ) ), ! in( Z,
% 0.74/1.26 Y ), in( Z, relation_dom( relation_dom_restriction( X, Y ) ) ) }.
% 0.74/1.26 { relation( skol2 ) }.
% 0.74/1.26 { function( skol2 ) }.
% 0.74/1.26 { empty( skol3 ) }.
% 0.74/1.26 { relation( skol3 ) }.
% 0.74/1.26 { empty( X ), ! empty( skol4( Y ) ) }.
% 0.74/1.26 { empty( X ), element( skol4( X ), powerset( X ) ) }.
% 0.74/1.26 { empty( skol5 ) }.
% 0.74/1.26 { relation( skol6 ) }.
% 0.74/1.26 { empty( skol6 ) }.
% 0.74/1.26 { function( skol6 ) }.
% 0.74/1.26 { ! empty( skol7 ) }.
% 0.74/1.26 { relation( skol7 ) }.
% 0.74/1.26 { empty( skol8( Y ) ) }.
% 0.74/1.26 { element( skol8( X ), powerset( X ) ) }.
% 0.74/1.26 { ! empty( skol9 ) }.
% 0.74/1.26 { relation( skol10 ) }.
% 0.74/1.26 { function( skol10 ) }.
% 0.74/1.26 { one_to_one( skol10 ) }.
% 0.74/1.26 { relation( skol11 ) }.
% 0.74/1.26 { relation_empty_yielding( skol11 ) }.
% 0.74/1.26 { subset( X, X ) }.
% 0.74/1.26 { ! in( X, Y ), element( X, Y ) }.
% 0.74/1.26 { set_intersection2( X, empty_set ) = empty_set }.
% 0.74/1.26 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.74/1.26 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 0.74/1.26 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 0.74/1.26 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 0.74/1.26 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 0.74/1.26 { ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y ), ! X =
% 0.74/1.26 relation_dom_restriction( Y, Z ), relation_dom( X ) = set_intersection2
% 0.74/1.26 ( relation_dom( Y ), Z ) }.
% 0.74/1.26 { ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y ), ! X =
% 0.74/1.26 relation_dom_restriction( Y, Z ), alpha1( X, Y ) }.
% 0.74/1.26 { ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y ), !
% 0.74/1.26 relation_dom( X ) = set_intersection2( relation_dom( Y ), Z ), ! alpha1(
% 0.74/1.26 X, Y ), X = relation_dom_restriction( Y, Z ) }.
% 0.74/1.26 { ! alpha1( X, Y ), ! in( Z, relation_dom( X ) ), apply( X, Z ) = apply( Y
% 40.17/40.61 , Z ) }.
% 40.17/40.61 { in( skol12( X, Z ), relation_dom( X ) ), alpha1( X, Y ) }.
% 40.17/40.61 { ! apply( X, skol12( X, Y ) ) = apply( Y, skol12( X, Y ) ), alpha1( X, Y )
% 40.17/40.61 }.
% 40.17/40.61 { ! empty( X ), X = empty_set }.
% 40.17/40.61 { relation( skol13 ) }.
% 40.17/40.61 { function( skol13 ) }.
% 40.17/40.61 { in( skol15, skol14 ) }.
% 40.17/40.61 { ! apply( relation_dom_restriction( skol13, skol14 ), skol15 ) = apply(
% 40.17/40.61 skol13, skol15 ) }.
% 40.17/40.61 { ! in( X, Y ), ! empty( Y ) }.
% 40.17/40.61 { ! empty( X ), X = Y, ! empty( Y ) }.
% 40.17/40.61
% 40.17/40.61 percentage equality = 0.140940, percentage horn = 0.929577
% 40.17/40.61 This is a problem with some equality
% 40.17/40.61
% 40.17/40.61
% 40.17/40.61
% 40.17/40.61 Options Used:
% 40.17/40.61
% 40.17/40.61 useres = 1
% 40.17/40.61 useparamod = 1
% 40.17/40.61 useeqrefl = 1
% 40.17/40.61 useeqfact = 1
% 40.17/40.61 usefactor = 1
% 40.17/40.61 usesimpsplitting = 0
% 40.17/40.61 usesimpdemod = 5
% 40.17/40.61 usesimpres = 3
% 40.17/40.61
% 40.17/40.61 resimpinuse = 1000
% 40.17/40.61 resimpclauses = 20000
% 40.17/40.61 substype = eqrewr
% 40.17/40.61 backwardsubs = 1
% 40.17/40.61 selectoldest = 5
% 40.17/40.61
% 40.17/40.61 litorderings [0] = split
% 40.17/40.61 litorderings [1] = extend the termordering, first sorting on arguments
% 40.17/40.61
% 40.17/40.61 termordering = kbo
% 40.17/40.61
% 40.17/40.61 litapriori = 0
% 40.17/40.61 termapriori = 1
% 40.17/40.61 litaposteriori = 0
% 40.17/40.61 termaposteriori = 0
% 40.17/40.61 demodaposteriori = 0
% 40.17/40.61 ordereqreflfact = 0
% 40.17/40.61
% 40.17/40.61 litselect = negord
% 40.17/40.61
% 40.17/40.61 maxweight = 15
% 40.17/40.61 maxdepth = 30000
% 40.17/40.61 maxlength = 115
% 40.17/40.61 maxnrvars = 195
% 40.17/40.61 excuselevel = 1
% 40.17/40.61 increasemaxweight = 1
% 40.17/40.61
% 40.17/40.61 maxselected = 10000000
% 40.17/40.61 maxnrclauses = 10000000
% 40.17/40.61
% 40.17/40.61 showgenerated = 0
% 40.17/40.61 showkept = 0
% 40.17/40.61 showselected = 0
% 40.17/40.61 showdeleted = 0
% 40.17/40.61 showresimp = 1
% 40.17/40.61 showstatus = 2000
% 40.17/40.61
% 40.17/40.61 prologoutput = 0
% 40.17/40.61 nrgoals = 5000000
% 40.17/40.61 totalproof = 1
% 40.17/40.61
% 40.17/40.61 Symbols occurring in the translation:
% 40.17/40.61
% 40.17/40.61 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 40.17/40.61 . [1, 2] (w:1, o:38, a:1, s:1, b:0),
% 40.17/40.61 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 40.17/40.61 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 40.17/40.61 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 40.17/40.61 in [37, 2] (w:1, o:62, a:1, s:1, b:0),
% 40.17/40.61 empty [38, 1] (w:1, o:27, a:1, s:1, b:0),
% 40.17/40.61 function [39, 1] (w:1, o:28, a:1, s:1, b:0),
% 40.17/40.61 relation [40, 1] (w:1, o:29, a:1, s:1, b:0),
% 40.17/40.61 one_to_one [41, 1] (w:1, o:30, a:1, s:1, b:0),
% 40.17/40.61 unordered_pair [42, 2] (w:1, o:63, a:1, s:1, b:0),
% 40.17/40.61 set_intersection2 [43, 2] (w:1, o:65, a:1, s:1, b:0),
% 40.17/40.61 relation_dom [45, 1] (w:1, o:31, a:1, s:1, b:0),
% 40.17/40.61 apply [46, 2] (w:1, o:66, a:1, s:1, b:0),
% 40.17/40.61 ordered_pair [47, 2] (w:1, o:67, a:1, s:1, b:0),
% 40.17/40.61 empty_set [48, 0] (w:1, o:9, a:1, s:1, b:0),
% 40.17/40.61 singleton [49, 1] (w:1, o:33, a:1, s:1, b:0),
% 40.17/40.61 relation_dom_restriction [50, 2] (w:1, o:64, a:1, s:1, b:0),
% 40.17/40.61 element [51, 2] (w:1, o:68, a:1, s:1, b:0),
% 40.17/40.61 relation_empty_yielding [52, 1] (w:1, o:32, a:1, s:1, b:0),
% 40.17/40.61 powerset [53, 1] (w:1, o:34, a:1, s:1, b:0),
% 40.17/40.61 subset [54, 2] (w:1, o:69, a:1, s:1, b:0),
% 40.17/40.61 alpha1 [56, 2] (w:1, o:70, a:1, s:1, b:1),
% 40.17/40.61 skol1 [57, 1] (w:1, o:35, a:1, s:1, b:1),
% 40.17/40.61 skol2 [58, 0] (w:1, o:16, a:1, s:1, b:1),
% 40.17/40.61 skol3 [59, 0] (w:1, o:17, a:1, s:1, b:1),
% 40.17/40.61 skol4 [60, 1] (w:1, o:36, a:1, s:1, b:1),
% 40.17/40.61 skol5 [61, 0] (w:1, o:18, a:1, s:1, b:1),
% 40.17/40.61 skol6 [62, 0] (w:1, o:19, a:1, s:1, b:1),
% 40.17/40.61 skol7 [63, 0] (w:1, o:20, a:1, s:1, b:1),
% 40.17/40.61 skol8 [64, 1] (w:1, o:37, a:1, s:1, b:1),
% 40.17/40.61 skol9 [65, 0] (w:1, o:21, a:1, s:1, b:1),
% 40.17/40.61 skol10 [66, 0] (w:1, o:11, a:1, s:1, b:1),
% 40.17/40.61 skol11 [67, 0] (w:1, o:12, a:1, s:1, b:1),
% 40.17/40.61 skol12 [68, 2] (w:1, o:71, a:1, s:1, b:1),
% 40.17/40.61 skol13 [69, 0] (w:1, o:13, a:1, s:1, b:1),
% 40.17/40.61 skol14 [70, 0] (w:1, o:14, a:1, s:1, b:1),
% 40.17/40.61 skol15 [71, 0] (w:1, o:15, a:1, s:1, b:1).
% 40.17/40.61
% 40.17/40.61
% 40.17/40.61 Starting Search:
% 40.17/40.61
% 40.17/40.61 *** allocated 15000 integers for clauses
% 40.17/40.61 *** allocated 22500 integers for clauses
% 40.17/40.61 *** allocated 33750 integers for clauses
% 40.17/40.61 *** allocated 50625 integers for clauses
% 40.17/40.61 *** allocated 15000 integers for termspace/termends
% 40.17/40.61 *** allocated 75937 integers for clauses
% 40.17/40.61 *** allocated 22500 integers for termspace/termends
% 40.17/40.61 Resimplifying inuse:
% 40.17/40.61 Done
% 40.17/40.61
% 40.17/40.61 *** allocated 113905 integers for clauses
% 40.17/40.61 *** allocated 33750 integers for termspace/termends
% 40.17/40.61
% 40.17/40.61 Intermediate Status:
% 40.17/40.61 Generated: 9760
% 40.17/40.61 Kept: 2079
% 40.17/40.61 Inuse: 314
% 40.17/40.61 Deleted: 149
% 40.17/40.61 Deletedinuse: 72
% 40.17/40.61
% 40.17/40.61 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 *** allocated 170857 integers for clauses
% 57.50/57.91 *** allocated 50625 integers for termspace/termends
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 *** allocated 256285 integers for clauses
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 29850
% 57.50/57.91 Kept: 4085
% 57.50/57.91 Inuse: 440
% 57.50/57.91 Deleted: 171
% 57.50/57.91 Deletedinuse: 76
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 *** allocated 75937 integers for termspace/termends
% 57.50/57.91 *** allocated 384427 integers for clauses
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 55293
% 57.50/57.91 Kept: 6098
% 57.50/57.91 Inuse: 581
% 57.50/57.91 Deleted: 178
% 57.50/57.91 Deletedinuse: 77
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 *** allocated 113905 integers for termspace/termends
% 57.50/57.91 *** allocated 576640 integers for clauses
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 64319
% 57.50/57.91 Kept: 9240
% 57.50/57.91 Inuse: 612
% 57.50/57.91 Deleted: 181
% 57.50/57.91 Deletedinuse: 77
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 *** allocated 170857 integers for termspace/termends
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 *** allocated 864960 integers for clauses
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 72360
% 57.50/57.91 Kept: 11247
% 57.50/57.91 Inuse: 648
% 57.50/57.91 Deleted: 183
% 57.50/57.91 Deletedinuse: 77
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 76430
% 57.50/57.91 Kept: 13371
% 57.50/57.91 Inuse: 660
% 57.50/57.91 Deleted: 183
% 57.50/57.91 Deletedinuse: 77
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 *** allocated 256285 integers for termspace/termends
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 89912
% 57.50/57.91 Kept: 15404
% 57.50/57.91 Inuse: 702
% 57.50/57.91 Deleted: 187
% 57.50/57.91 Deletedinuse: 77
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 *** allocated 1297440 integers for clauses
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 100446
% 57.50/57.91 Kept: 17706
% 57.50/57.91 Inuse: 758
% 57.50/57.91 Deleted: 205
% 57.50/57.91 Deletedinuse: 77
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 121096
% 57.50/57.91 Kept: 20028
% 57.50/57.91 Inuse: 858
% 57.50/57.91 Deleted: 258
% 57.50/57.91 Deletedinuse: 90
% 57.50/57.91
% 57.50/57.91 Resimplifying clauses:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 *** allocated 384427 integers for termspace/termends
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 157729
% 57.50/57.91 Kept: 22059
% 57.50/57.91 Inuse: 1000
% 57.50/57.91 Deleted: 1363
% 57.50/57.91 Deletedinuse: 127
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 188509
% 57.50/57.91 Kept: 24204
% 57.50/57.91 Inuse: 1066
% 57.50/57.91 Deleted: 1402
% 57.50/57.91 Deletedinuse: 142
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 *** allocated 1946160 integers for clauses
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 223660
% 57.50/57.91 Kept: 26263
% 57.50/57.91 Inuse: 1115
% 57.50/57.91 Deleted: 1521
% 57.50/57.91 Deletedinuse: 156
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 265473
% 57.50/57.91 Kept: 28563
% 57.50/57.91 Inuse: 1246
% 57.50/57.91 Deleted: 1526
% 57.50/57.91 Deletedinuse: 161
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 311815
% 57.50/57.91 Kept: 30565
% 57.50/57.91 Inuse: 1349
% 57.50/57.91 Deleted: 1553
% 57.50/57.91 Deletedinuse: 162
% 57.50/57.91
% 57.50/57.91 *** allocated 576640 integers for termspace/termends
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 331502
% 57.50/57.91 Kept: 32771
% 57.50/57.91 Inuse: 1406
% 57.50/57.91 Deleted: 1572
% 57.50/57.91 Deletedinuse: 162
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 342684
% 57.50/57.91 Kept: 34771
% 57.50/57.91 Inuse: 1447
% 57.50/57.91 Deleted: 1572
% 57.50/57.91 Deletedinuse: 162
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 363459
% 57.50/57.91 Kept: 36774
% 57.50/57.91 Inuse: 1533
% 57.50/57.91 Deleted: 1578
% 57.50/57.91 Deletedinuse: 163
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 409585
% 57.50/57.91 Kept: 38873
% 57.50/57.91 Inuse: 1639
% 57.50/57.91 Deleted: 1643
% 57.50/57.91 Deletedinuse: 217
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 *** allocated 2919240 integers for clauses
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 Resimplifying clauses:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 436291
% 57.50/57.91 Kept: 40887
% 57.50/57.91 Inuse: 1700
% 57.50/57.91 Deleted: 8258
% 57.50/57.91 Deletedinuse: 217
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 466458
% 57.50/57.91 Kept: 42888
% 57.50/57.91 Inuse: 1790
% 57.50/57.91 Deleted: 8278
% 57.50/57.91 Deletedinuse: 223
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 540573
% 57.50/57.91 Kept: 44900
% 57.50/57.91 Inuse: 1937
% 57.50/57.91 Deleted: 8347
% 57.50/57.91 Deletedinuse: 234
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 *** allocated 864960 integers for termspace/termends
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 589520
% 57.50/57.91 Kept: 47080
% 57.50/57.91 Inuse: 2019
% 57.50/57.91 Deleted: 8354
% 57.50/57.91 Deletedinuse: 234
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 657860
% 57.50/57.91 Kept: 49097
% 57.50/57.91 Inuse: 2088
% 57.50/57.91 Deleted: 8364
% 57.50/57.91 Deletedinuse: 235
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Intermediate Status:
% 57.50/57.91 Generated: 671968
% 57.50/57.91 Kept: 51128
% 57.50/57.91 Inuse: 2125
% 57.50/57.91 Deleted: 8372
% 57.50/57.91 Deletedinuse: 240
% 57.50/57.91
% 57.50/57.91 Resimplifying inuse:
% 57.50/57.91 Done
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Bliksems!, er is een bewijs:
% 57.50/57.91 % SZS status Theorem
% 57.50/57.91 % SZS output start Refutation
% 57.50/57.91
% 57.50/57.91 (8) {G0,W16,D3,L5,V3,M5} I { ! relation( X ), ! function( X ), in( Y,
% 57.50/57.91 relation_dom( X ) ), ! Z = apply( X, Y ), Z = empty_set }.
% 57.50/57.91 (11) {G0,W6,D3,L2,V2,M2} I { ! relation( X ), relation(
% 57.50/57.91 relation_dom_restriction( X, Y ) ) }.
% 57.50/57.91 (22) {G0,W8,D3,L3,V2,M3} I { ! relation( X ), ! function( X ), function(
% 57.50/57.91 relation_dom_restriction( X, Y ) ) }.
% 57.50/57.91 (27) {G0,W14,D4,L4,V3,M4} I { ! relation( X ), ! function( X ), ! in( Z,
% 57.50/57.91 relation_dom( relation_dom_restriction( X, Y ) ) ), in( Z, relation_dom(
% 57.50/57.91 X ) ) }.
% 57.50/57.91 (29) {G0,W17,D4,L5,V3,M5} I { ! relation( X ), ! function( X ), ! in( Z,
% 57.50/57.91 relation_dom( X ) ), ! in( Z, Y ), in( Z, relation_dom(
% 57.50/57.91 relation_dom_restriction( X, Y ) ) ) }.
% 57.50/57.91 (59) {G0,W16,D3,L6,V3,M6} I { ! relation( X ), ! function( X ), ! relation
% 57.50/57.91 ( Y ), ! function( Y ), ! X = relation_dom_restriction( Y, Z ), alpha1( X
% 57.50/57.91 , Y ) }.
% 57.50/57.91 (61) {G0,W14,D3,L3,V3,M3} I { ! alpha1( X, Y ), ! in( Z, relation_dom( X )
% 57.50/57.91 ), apply( X, Z ) = apply( Y, Z ) }.
% 57.50/57.91 (65) {G0,W2,D2,L1,V0,M1} I { relation( skol13 ) }.
% 57.50/57.91 (66) {G0,W2,D2,L1,V0,M1} I { function( skol13 ) }.
% 57.50/57.91 (67) {G0,W3,D2,L1,V0,M1} I { in( skol15, skol14 ) }.
% 57.50/57.91 (68) {G0,W9,D4,L1,V0,M1} I { ! apply( relation_dom_restriction( skol13,
% 57.50/57.91 skol14 ), skol15 ) ==> apply( skol13, skol15 ) }.
% 57.50/57.91 (73) {G1,W13,D3,L4,V2,M4} Q(8) { ! relation( X ), ! function( X ), in( Y,
% 57.50/57.91 relation_dom( X ) ), apply( X, Y ) ==> empty_set }.
% 57.50/57.91 (196) {G1,W4,D3,L1,V1,M1} R(11,65) { relation( relation_dom_restriction(
% 57.50/57.91 skol13, X ) ) }.
% 57.50/57.91 (304) {G1,W4,D3,L1,V1,M1} R(22,65);r(66) { function(
% 57.50/57.91 relation_dom_restriction( skol13, X ) ) }.
% 57.50/57.91 (433) {G1,W10,D4,L2,V2,M2} R(27,65);r(66) { ! in( X, relation_dom(
% 57.50/57.91 relation_dom_restriction( skol13, Y ) ) ), in( X, relation_dom( skol13 )
% 57.50/57.91 ) }.
% 57.50/57.91 (530) {G1,W13,D4,L3,V2,M3} R(29,65);r(66) { ! in( X, relation_dom( skol13 )
% 57.50/57.91 ), ! in( X, Y ), in( X, relation_dom( relation_dom_restriction( skol13,
% 57.50/57.91 Y ) ) ) }.
% 57.50/57.91 (876) {G1,W12,D3,L4,V2,M4} R(59,65);r(66) { ! relation( X ), ! function( X
% 57.50/57.91 ), ! X = relation_dom_restriction( skol13, Y ), alpha1( X, skol13 ) }.
% 57.50/57.91 (880) {G2,W9,D3,L2,V1,M2} Q(876);r(196) { ! function(
% 57.50/57.91 relation_dom_restriction( skol13, X ) ), alpha1( relation_dom_restriction
% 57.50/57.91 ( skol13, X ), skol13 ) }.
% 57.50/57.91 (980) {G1,W18,D4,L3,V1,M3} P(61,68) { ! apply( X, skol15 ) = apply( skol13
% 57.50/57.91 , skol15 ), ! alpha1( relation_dom_restriction( skol13, skol14 ), X ), !
% 57.50/57.91 in( skol15, relation_dom( relation_dom_restriction( skol13, skol14 ) ) )
% 57.50/57.91 }.
% 57.50/57.91 (993) {G2,W11,D4,L2,V0,M2} Q(980) { ! alpha1( relation_dom_restriction(
% 57.50/57.91 skol13, skol14 ), skol13 ), ! in( skol15, relation_dom(
% 57.50/57.91 relation_dom_restriction( skol13, skol14 ) ) ) }.
% 57.50/57.91 (1048) {G2,W13,D4,L2,V2,M2} R(73,196);r(304) { in( Y, relation_dom(
% 57.50/57.91 relation_dom_restriction( skol13, X ) ) ), apply(
% 57.50/57.91 relation_dom_restriction( skol13, X ), Y ) ==> empty_set }.
% 57.50/57.91 (20108) {G3,W5,D3,L1,V1,M1} S(880);r(304) { alpha1(
% 57.50/57.91 relation_dom_restriction( skol13, X ), skol13 ) }.
% 57.50/57.91 (40325) {G4,W6,D4,L1,V0,M1} S(993);r(20108) { ! in( skol15, relation_dom(
% 57.50/57.91 relation_dom_restriction( skol13, skol14 ) ) ) }.
% 57.50/57.91 (40414) {G5,W4,D3,L1,V0,M1} R(40325,530);r(67) { ! in( skol15, relation_dom
% 57.50/57.91 ( skol13 ) ) }.
% 57.50/57.91 (40479) {G6,W6,D4,L1,V1,M1} R(40414,433) { ! in( skol15, relation_dom(
% 57.50/57.91 relation_dom_restriction( skol13, X ) ) ) }.
% 57.50/57.91 (40480) {G6,W7,D3,L2,V0,M2} R(40414,73);r(65) { ! function( skol13 ), apply
% 57.50/57.91 ( skol13, skol15 ) ==> empty_set }.
% 57.50/57.91 (42932) {G7,W5,D3,L1,V0,M1} S(40480);r(66) { apply( skol13, skol15 ) ==>
% 57.50/57.91 empty_set }.
% 57.50/57.91 (42956) {G8,W7,D4,L1,V0,M1} S(68);d(42932) { ! apply(
% 57.50/57.91 relation_dom_restriction( skol13, skol14 ), skol15 ) ==> empty_set }.
% 57.50/57.91 (52025) {G9,W0,D0,L0,V0,M0} R(1048,42956);r(40479) { }.
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 % SZS output end Refutation
% 57.50/57.91 found a proof!
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Unprocessed initial clauses:
% 57.50/57.91
% 57.50/57.91 (52027) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 57.50/57.91 (52028) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 57.50/57.91 (52029) {G0,W4,D2,L2,V1,M2} { ! empty( X ), relation( X ) }.
% 57.50/57.91 (52030) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 57.50/57.91 ), relation( X ) }.
% 57.50/57.91 (52031) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 57.50/57.91 ), function( X ) }.
% 57.50/57.91 (52032) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 57.50/57.91 ), one_to_one( X ) }.
% 57.50/57.91 (52033) {G0,W7,D3,L1,V2,M1} { unordered_pair( X, Y ) = unordered_pair( Y,
% 57.50/57.91 X ) }.
% 57.50/57.91 (52034) {G0,W7,D3,L1,V2,M1} { set_intersection2( X, Y ) =
% 57.50/57.91 set_intersection2( Y, X ) }.
% 57.50/57.91 (52035) {G0,W18,D3,L5,V3,M5} { ! relation( X ), ! function( X ), ! in( Y,
% 57.50/57.91 relation_dom( X ) ), ! Z = apply( X, Y ), in( ordered_pair( Y, Z ), X )
% 57.50/57.91 }.
% 57.50/57.91 (52036) {G0,W18,D3,L5,V3,M5} { ! relation( X ), ! function( X ), ! in( Y,
% 57.50/57.91 relation_dom( X ) ), ! in( ordered_pair( Y, Z ), X ), Z = apply( X, Y )
% 57.50/57.91 }.
% 57.50/57.91 (52037) {G0,W16,D3,L5,V3,M5} { ! relation( X ), ! function( X ), in( Y,
% 57.50/57.91 relation_dom( X ) ), ! Z = apply( X, Y ), Z = empty_set }.
% 57.50/57.91 (52038) {G0,W16,D3,L5,V3,M5} { ! relation( X ), ! function( X ), in( Y,
% 57.50/57.91 relation_dom( X ) ), ! Z = empty_set, Z = apply( X, Y ) }.
% 57.50/57.91 (52039) {G0,W10,D4,L1,V2,M1} { ordered_pair( X, Y ) = unordered_pair(
% 57.50/57.91 unordered_pair( X, Y ), singleton( X ) ) }.
% 57.50/57.91 (52040) {G0,W6,D3,L2,V2,M2} { ! relation( X ), relation(
% 57.50/57.91 relation_dom_restriction( X, Y ) ) }.
% 57.50/57.91 (52041) {G0,W4,D3,L1,V1,M1} { element( skol1( X ), X ) }.
% 57.50/57.91 (52042) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 57.50/57.91 (52043) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 57.50/57.91 (52044) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 57.50/57.91 (52045) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! relation_empty_yielding(
% 57.50/57.91 X ), relation( relation_dom_restriction( X, Y ) ) }.
% 57.50/57.91 (52046) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! relation_empty_yielding(
% 57.50/57.91 X ), relation_empty_yielding( relation_dom_restriction( X, Y ) ) }.
% 57.50/57.91 (52047) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! relation( Y ), relation(
% 57.50/57.91 set_intersection2( X, Y ) ) }.
% 57.50/57.91 (52048) {G0,W3,D3,L1,V1,M1} { ! empty( powerset( X ) ) }.
% 57.50/57.91 (52049) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 57.50/57.91 (52050) {G0,W4,D3,L1,V2,M1} { ! empty( ordered_pair( X, Y ) ) }.
% 57.50/57.91 (52051) {G0,W3,D3,L1,V1,M1} { ! empty( singleton( X ) ) }.
% 57.50/57.91 (52052) {G0,W4,D3,L1,V2,M1} { ! empty( unordered_pair( X, Y ) ) }.
% 57.50/57.91 (52053) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! function( X ), relation(
% 57.50/57.91 relation_dom_restriction( X, Y ) ) }.
% 57.50/57.91 (52054) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! function( X ), function(
% 57.50/57.91 relation_dom_restriction( X, Y ) ) }.
% 57.50/57.91 (52055) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 57.50/57.91 (52056) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 57.50/57.91 (52057) {G0,W7,D3,L3,V1,M3} { empty( X ), ! relation( X ), ! empty(
% 57.50/57.91 relation_dom( X ) ) }.
% 57.50/57.91 (52058) {G0,W5,D3,L2,V1,M2} { ! empty( X ), empty( relation_dom( X ) ) }.
% 57.50/57.91 (52059) {G0,W5,D3,L2,V1,M2} { ! empty( X ), relation( relation_dom( X ) )
% 57.50/57.91 }.
% 57.50/57.91 (52060) {G0,W5,D3,L1,V1,M1} { set_intersection2( X, X ) = X }.
% 57.50/57.91 (52061) {G0,W14,D4,L4,V3,M4} { ! relation( X ), ! function( X ), ! in( Z,
% 57.50/57.91 relation_dom( relation_dom_restriction( X, Y ) ) ), in( Z, relation_dom(
% 57.50/57.91 X ) ) }.
% 57.50/57.91 (52062) {G0,W13,D4,L4,V3,M4} { ! relation( X ), ! function( X ), ! in( Z,
% 57.50/57.91 relation_dom( relation_dom_restriction( X, Y ) ) ), in( Z, Y ) }.
% 57.50/57.91 (52063) {G0,W17,D4,L5,V3,M5} { ! relation( X ), ! function( X ), ! in( Z,
% 57.50/57.91 relation_dom( X ) ), ! in( Z, Y ), in( Z, relation_dom(
% 57.50/57.91 relation_dom_restriction( X, Y ) ) ) }.
% 57.50/57.91 (52064) {G0,W2,D2,L1,V0,M1} { relation( skol2 ) }.
% 57.50/57.91 (52065) {G0,W2,D2,L1,V0,M1} { function( skol2 ) }.
% 57.50/57.91 (52066) {G0,W2,D2,L1,V0,M1} { empty( skol3 ) }.
% 57.50/57.91 (52067) {G0,W2,D2,L1,V0,M1} { relation( skol3 ) }.
% 57.50/57.91 (52068) {G0,W5,D3,L2,V2,M2} { empty( X ), ! empty( skol4( Y ) ) }.
% 57.50/57.91 (52069) {G0,W7,D3,L2,V1,M2} { empty( X ), element( skol4( X ), powerset( X
% 57.50/57.91 ) ) }.
% 57.50/57.91 (52070) {G0,W2,D2,L1,V0,M1} { empty( skol5 ) }.
% 57.50/57.91 (52071) {G0,W2,D2,L1,V0,M1} { relation( skol6 ) }.
% 57.50/57.91 (52072) {G0,W2,D2,L1,V0,M1} { empty( skol6 ) }.
% 57.50/57.91 (52073) {G0,W2,D2,L1,V0,M1} { function( skol6 ) }.
% 57.50/57.91 (52074) {G0,W2,D2,L1,V0,M1} { ! empty( skol7 ) }.
% 57.50/57.91 (52075) {G0,W2,D2,L1,V0,M1} { relation( skol7 ) }.
% 57.50/57.91 (52076) {G0,W3,D3,L1,V1,M1} { empty( skol8( Y ) ) }.
% 57.50/57.91 (52077) {G0,W5,D3,L1,V1,M1} { element( skol8( X ), powerset( X ) ) }.
% 57.50/57.91 (52078) {G0,W2,D2,L1,V0,M1} { ! empty( skol9 ) }.
% 57.50/57.91 (52079) {G0,W2,D2,L1,V0,M1} { relation( skol10 ) }.
% 57.50/57.91 (52080) {G0,W2,D2,L1,V0,M1} { function( skol10 ) }.
% 57.50/57.91 (52081) {G0,W2,D2,L1,V0,M1} { one_to_one( skol10 ) }.
% 57.50/57.91 (52082) {G0,W2,D2,L1,V0,M1} { relation( skol11 ) }.
% 57.50/57.91 (52083) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol11 ) }.
% 57.50/57.91 (52084) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 57.50/57.91 (52085) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 57.50/57.91 (52086) {G0,W5,D3,L1,V1,M1} { set_intersection2( X, empty_set ) =
% 57.50/57.91 empty_set }.
% 57.50/57.91 (52087) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 57.50/57.91 }.
% 57.50/57.91 (52088) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y
% 57.50/57.91 ) }.
% 57.50/57.91 (52089) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y )
% 57.50/57.91 ) }.
% 57.50/57.91 (52090) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y ) )
% 57.50/57.91 , element( X, Y ) }.
% 57.50/57.91 (52091) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) )
% 57.50/57.91 , ! empty( Z ) }.
% 57.50/57.91 (52092) {G0,W20,D4,L6,V3,M6} { ! relation( X ), ! function( X ), !
% 57.50/57.91 relation( Y ), ! function( Y ), ! X = relation_dom_restriction( Y, Z ),
% 57.50/57.91 relation_dom( X ) = set_intersection2( relation_dom( Y ), Z ) }.
% 57.50/57.91 (52093) {G0,W16,D3,L6,V3,M6} { ! relation( X ), ! function( X ), !
% 57.50/57.91 relation( Y ), ! function( Y ), ! X = relation_dom_restriction( Y, Z ),
% 57.50/57.91 alpha1( X, Y ) }.
% 57.50/57.91 (52094) {G0,W23,D4,L7,V3,M7} { ! relation( X ), ! function( X ), !
% 57.50/57.91 relation( Y ), ! function( Y ), ! relation_dom( X ) = set_intersection2(
% 57.50/57.91 relation_dom( Y ), Z ), ! alpha1( X, Y ), X = relation_dom_restriction( Y
% 57.50/57.91 , Z ) }.
% 57.50/57.91 (52095) {G0,W14,D3,L3,V3,M3} { ! alpha1( X, Y ), ! in( Z, relation_dom( X
% 57.50/57.91 ) ), apply( X, Z ) = apply( Y, Z ) }.
% 57.50/57.91 (52096) {G0,W9,D3,L2,V3,M2} { in( skol12( X, Z ), relation_dom( X ) ),
% 57.50/57.91 alpha1( X, Y ) }.
% 57.50/57.91 (52097) {G0,W14,D4,L2,V2,M2} { ! apply( X, skol12( X, Y ) ) = apply( Y,
% 57.50/57.91 skol12( X, Y ) ), alpha1( X, Y ) }.
% 57.50/57.91 (52098) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 57.50/57.91 (52099) {G0,W2,D2,L1,V0,M1} { relation( skol13 ) }.
% 57.50/57.91 (52100) {G0,W2,D2,L1,V0,M1} { function( skol13 ) }.
% 57.50/57.91 (52101) {G0,W3,D2,L1,V0,M1} { in( skol15, skol14 ) }.
% 57.50/57.91 (52102) {G0,W9,D4,L1,V0,M1} { ! apply( relation_dom_restriction( skol13,
% 57.50/57.91 skol14 ), skol15 ) = apply( skol13, skol15 ) }.
% 57.50/57.91 (52103) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 57.50/57.91 (52104) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 57.50/57.91
% 57.50/57.91
% 57.50/57.91 Total Proof:
% 57.50/57.91
% 57.50/57.91 subsumption: (8) {G0,W16,D3,L5,V3,M5} I { ! relation( X ), ! function( X )
% 57.50/57.91 , in( Y, relation_dom( X ) ), ! Z = apply( X, Y ), Z = empty_set }.
% 57.50/57.91 parent0: (52037) {G0,W16,D3,L5,V3,M5} { ! relation( X ), ! function( X ),
% 57.50/57.91 in( Y, relation_dom( X ) ), ! Z = apply( X, Y ), Z = empty_set }.
% 57.50/57.91 substitution0:
% 57.50/57.91 X := X
% 57.50/57.91 Y := Y
% 57.50/57.91 Z := Z
% 57.50/57.91 end
% 57.50/57.91 permutation0:
% 57.50/57.91 0 ==> 0
% 57.50/57.91 1 ==> 1
% 57.50/57.91 2 ==> 2
% 57.50/57.91 3 ==> 3
% 57.50/57.91 4 ==> 4
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 subsumption: (11) {G0,W6,D3,L2,V2,M2} I { ! relation( X ), relation(
% 57.50/57.91 relation_dom_restriction( X, Y ) ) }.
% 57.50/57.91 parent0: (52040) {G0,W6,D3,L2,V2,M2} { ! relation( X ), relation(
% 57.50/57.91 relation_dom_restriction( X, Y ) ) }.
% 57.50/57.91 substitution0:
% 57.50/57.91 X := X
% 57.50/57.91 Y := Y
% 57.50/57.91 end
% 57.50/57.91 permutation0:
% 57.50/57.91 0 ==> 0
% 57.50/57.91 1 ==> 1
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 subsumption: (22) {G0,W8,D3,L3,V2,M3} I { ! relation( X ), ! function( X )
% 57.50/57.91 , function( relation_dom_restriction( X, Y ) ) }.
% 57.50/57.91 parent0: (52054) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! function( X ),
% 57.50/57.91 function( relation_dom_restriction( X, Y ) ) }.
% 57.50/57.91 substitution0:
% 57.50/57.91 X := X
% 57.50/57.91 Y := Y
% 57.50/57.91 end
% 57.50/57.91 permutation0:
% 57.50/57.91 0 ==> 0
% 57.50/57.91 1 ==> 1
% 57.50/57.91 2 ==> 2
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 subsumption: (27) {G0,W14,D4,L4,V3,M4} I { ! relation( X ), ! function( X )
% 57.50/57.91 , ! in( Z, relation_dom( relation_dom_restriction( X, Y ) ) ), in( Z,
% 57.50/57.91 relation_dom( X ) ) }.
% 57.50/57.91 parent0: (52061) {G0,W14,D4,L4,V3,M4} { ! relation( X ), ! function( X ),
% 57.50/57.91 ! in( Z, relation_dom( relation_dom_restriction( X, Y ) ) ), in( Z,
% 57.50/57.91 relation_dom( X ) ) }.
% 57.50/57.91 substitution0:
% 57.50/57.91 X := X
% 57.50/57.91 Y := Y
% 57.50/57.91 Z := Z
% 57.50/57.91 end
% 57.50/57.91 permutation0:
% 57.50/57.91 0 ==> 0
% 57.50/57.91 1 ==> 1
% 57.50/57.91 2 ==> 2
% 57.50/57.91 3 ==> 3
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 subsumption: (29) {G0,W17,D4,L5,V3,M5} I { ! relation( X ), ! function( X )
% 57.50/57.91 , ! in( Z, relation_dom( X ) ), ! in( Z, Y ), in( Z, relation_dom(
% 57.50/57.91 relation_dom_restriction( X, Y ) ) ) }.
% 57.50/57.91 parent0: (52063) {G0,W17,D4,L5,V3,M5} { ! relation( X ), ! function( X ),
% 57.50/57.91 ! in( Z, relation_dom( X ) ), ! in( Z, Y ), in( Z, relation_dom(
% 57.50/57.91 relation_dom_restriction( X, Y ) ) ) }.
% 57.50/57.91 substitution0:
% 57.50/57.91 X := X
% 57.50/57.91 Y := Y
% 57.50/57.91 Z := Z
% 57.50/57.91 end
% 57.50/57.91 permutation0:
% 57.50/57.91 0 ==> 0
% 57.50/57.91 1 ==> 1
% 57.50/57.91 2 ==> 2
% 57.50/57.91 3 ==> 3
% 57.50/57.91 4 ==> 4
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 subsumption: (59) {G0,W16,D3,L6,V3,M6} I { ! relation( X ), ! function( X )
% 57.50/57.91 , ! relation( Y ), ! function( Y ), ! X = relation_dom_restriction( Y, Z
% 57.50/57.91 ), alpha1( X, Y ) }.
% 57.50/57.91 parent0: (52093) {G0,W16,D3,L6,V3,M6} { ! relation( X ), ! function( X ),
% 57.50/57.91 ! relation( Y ), ! function( Y ), ! X = relation_dom_restriction( Y, Z )
% 57.50/57.91 , alpha1( X, Y ) }.
% 57.50/57.91 substitution0:
% 57.50/57.91 X := X
% 57.50/57.91 Y := Y
% 57.50/57.91 Z := Z
% 57.50/57.91 end
% 57.50/57.91 permutation0:
% 57.50/57.91 0 ==> 0
% 57.50/57.91 1 ==> 1
% 57.50/57.91 2 ==> 2
% 57.50/57.91 3 ==> 3
% 57.50/57.91 4 ==> 4
% 57.50/57.91 5 ==> 5
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 subsumption: (61) {G0,W14,D3,L3,V3,M3} I { ! alpha1( X, Y ), ! in( Z,
% 57.50/57.91 relation_dom( X ) ), apply( X, Z ) = apply( Y, Z ) }.
% 57.50/57.91 parent0: (52095) {G0,W14,D3,L3,V3,M3} { ! alpha1( X, Y ), ! in( Z,
% 57.50/57.91 relation_dom( X ) ), apply( X, Z ) = apply( Y, Z ) }.
% 57.50/57.91 substitution0:
% 57.50/57.91 X := X
% 57.50/57.91 Y := Y
% 57.50/57.91 Z := Z
% 57.50/57.91 end
% 57.50/57.91 permutation0:
% 57.50/57.91 0 ==> 0
% 57.50/57.91 1 ==> 1
% 57.50/57.91 2 ==> 2
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 subsumption: (65) {G0,W2,D2,L1,V0,M1} I { relation( skol13 ) }.
% 57.50/57.91 parent0: (52099) {G0,W2,D2,L1,V0,M1} { relation( skol13 ) }.
% 57.50/57.91 substitution0:
% 57.50/57.91 end
% 57.50/57.91 permutation0:
% 57.50/57.91 0 ==> 0
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 subsumption: (66) {G0,W2,D2,L1,V0,M1} I { function( skol13 ) }.
% 57.50/57.91 parent0: (52100) {G0,W2,D2,L1,V0,M1} { function( skol13 ) }.
% 57.50/57.91 substitution0:
% 57.50/57.91 end
% 57.50/57.91 permutation0:
% 57.50/57.91 0 ==> 0
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 subsumption: (67) {G0,W3,D2,L1,V0,M1} I { in( skol15, skol14 ) }.
% 57.50/57.91 parent0: (52101) {G0,W3,D2,L1,V0,M1} { in( skol15, skol14 ) }.
% 57.50/57.91 substitution0:
% 57.50/57.91 end
% 57.50/57.91 permutation0:
% 57.50/57.91 0 ==> 0
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 subsumption: (68) {G0,W9,D4,L1,V0,M1} I { ! apply( relation_dom_restriction
% 57.50/57.91 ( skol13, skol14 ), skol15 ) ==> apply( skol13, skol15 ) }.
% 57.50/57.91 parent0: (52102) {G0,W9,D4,L1,V0,M1} { ! apply( relation_dom_restriction(
% 57.50/57.91 skol13, skol14 ), skol15 ) = apply( skol13, skol15 ) }.
% 57.50/57.91 substitution0:
% 57.50/57.91 end
% 57.50/57.91 permutation0:
% 57.50/57.91 0 ==> 0
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 eqswap: (52406) {G0,W16,D3,L5,V3,M5} { ! apply( Y, Z ) = X, ! relation( Y
% 57.50/57.91 ), ! function( Y ), in( Z, relation_dom( Y ) ), X = empty_set }.
% 57.50/57.91 parent0[3]: (8) {G0,W16,D3,L5,V3,M5} I { ! relation( X ), ! function( X ),
% 57.50/57.91 in( Y, relation_dom( X ) ), ! Z = apply( X, Y ), Z = empty_set }.
% 57.50/57.91 substitution0:
% 57.50/57.91 X := Y
% 57.50/57.91 Y := Z
% 57.50/57.91 Z := X
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 eqrefl: (52409) {G0,W13,D3,L4,V2,M4} { ! relation( X ), ! function( X ),
% 57.50/57.91 in( Y, relation_dom( X ) ), apply( X, Y ) = empty_set }.
% 57.50/57.91 parent0[0]: (52406) {G0,W16,D3,L5,V3,M5} { ! apply( Y, Z ) = X, ! relation
% 57.50/57.91 ( Y ), ! function( Y ), in( Z, relation_dom( Y ) ), X = empty_set }.
% 57.50/57.91 substitution0:
% 57.50/57.91 X := apply( X, Y )
% 57.50/57.91 Y := X
% 57.50/57.91 Z := Y
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 subsumption: (73) {G1,W13,D3,L4,V2,M4} Q(8) { ! relation( X ), ! function(
% 57.50/57.91 X ), in( Y, relation_dom( X ) ), apply( X, Y ) ==> empty_set }.
% 57.50/57.91 parent0: (52409) {G0,W13,D3,L4,V2,M4} { ! relation( X ), ! function( X ),
% 57.50/57.91 in( Y, relation_dom( X ) ), apply( X, Y ) = empty_set }.
% 57.50/57.91 substitution0:
% 57.50/57.91 X := X
% 57.50/57.91 Y := Y
% 57.50/57.91 end
% 57.50/57.91 permutation0:
% 57.50/57.91 0 ==> 0
% 57.50/57.91 1 ==> 1
% 57.50/57.91 2 ==> 2
% 57.50/57.91 3 ==> 3
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 resolution: (52411) {G1,W4,D3,L1,V1,M1} { relation(
% 57.50/57.91 relation_dom_restriction( skol13, X ) ) }.
% 57.50/57.91 parent0[0]: (11) {G0,W6,D3,L2,V2,M2} I { ! relation( X ), relation(
% 57.50/57.91 relation_dom_restriction( X, Y ) ) }.
% 57.50/57.91 parent1[0]: (65) {G0,W2,D2,L1,V0,M1} I { relation( skol13 ) }.
% 57.50/57.91 substitution0:
% 57.50/57.91 X := skol13
% 57.50/57.91 Y := X
% 57.50/57.91 end
% 57.50/57.91 substitution1:
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 subsumption: (196) {G1,W4,D3,L1,V1,M1} R(11,65) { relation(
% 57.50/57.91 relation_dom_restriction( skol13, X ) ) }.
% 57.50/57.91 parent0: (52411) {G1,W4,D3,L1,V1,M1} { relation( relation_dom_restriction
% 57.50/57.91 ( skol13, X ) ) }.
% 57.50/57.91 substitution0:
% 57.50/57.91 X := X
% 57.50/57.91 end
% 57.50/57.91 permutation0:
% 57.50/57.91 0 ==> 0
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 resolution: (52412) {G1,W6,D3,L2,V1,M2} { ! function( skol13 ), function(
% 57.50/57.91 relation_dom_restriction( skol13, X ) ) }.
% 57.50/57.91 parent0[0]: (22) {G0,W8,D3,L3,V2,M3} I { ! relation( X ), ! function( X ),
% 57.50/57.91 function( relation_dom_restriction( X, Y ) ) }.
% 57.50/57.91 parent1[0]: (65) {G0,W2,D2,L1,V0,M1} I { relation( skol13 ) }.
% 57.50/57.91 substitution0:
% 57.50/57.91 X := skol13
% 57.50/57.91 Y := X
% 57.50/57.91 end
% 57.50/57.91 substitution1:
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 resolution: (52413) {G1,W4,D3,L1,V1,M1} { function(
% 57.50/57.91 relation_dom_restriction( skol13, X ) ) }.
% 57.50/57.91 parent0[0]: (52412) {G1,W6,D3,L2,V1,M2} { ! function( skol13 ), function(
% 57.50/57.91 relation_dom_restriction( skol13, X ) ) }.
% 57.50/57.91 parent1[0]: (66) {G0,W2,D2,L1,V0,M1} I { function( skol13 ) }.
% 57.50/57.91 substitution0:
% 57.50/57.91 X := X
% 57.50/57.91 end
% 57.50/57.91 substitution1:
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 subsumption: (304) {G1,W4,D3,L1,V1,M1} R(22,65);r(66) { function(
% 57.50/57.91 relation_dom_restriction( skol13, X ) ) }.
% 57.50/57.91 parent0: (52413) {G1,W4,D3,L1,V1,M1} { function( relation_dom_restriction
% 57.50/57.91 ( skol13, X ) ) }.
% 57.50/57.91 substitution0:
% 57.50/57.91 X := X
% 57.50/57.91 end
% 57.50/57.91 permutation0:
% 57.50/57.91 0 ==> 0
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 resolution: (52414) {G1,W12,D4,L3,V2,M3} { ! function( skol13 ), ! in( X,
% 57.50/57.91 relation_dom( relation_dom_restriction( skol13, Y ) ) ), in( X,
% 57.50/57.91 relation_dom( skol13 ) ) }.
% 57.50/57.91 parent0[0]: (27) {G0,W14,D4,L4,V3,M4} I { ! relation( X ), ! function( X )
% 57.50/57.91 , ! in( Z, relation_dom( relation_dom_restriction( X, Y ) ) ), in( Z,
% 57.50/57.91 relation_dom( X ) ) }.
% 57.50/57.91 parent1[0]: (65) {G0,W2,D2,L1,V0,M1} I { relation( skol13 ) }.
% 57.50/57.91 substitution0:
% 57.50/57.91 X := skol13
% 57.50/57.91 Y := Y
% 57.50/57.91 Z := X
% 57.50/57.91 end
% 57.50/57.91 substitution1:
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 resolution: (52415) {G1,W10,D4,L2,V2,M2} { ! in( X, relation_dom(
% 57.50/57.91 relation_dom_restriction( skol13, Y ) ) ), in( X, relation_dom( skol13 )
% 57.50/57.91 ) }.
% 57.50/57.91 parent0[0]: (52414) {G1,W12,D4,L3,V2,M3} { ! function( skol13 ), ! in( X,
% 57.50/57.91 relation_dom( relation_dom_restriction( skol13, Y ) ) ), in( X,
% 57.50/57.91 relation_dom( skol13 ) ) }.
% 57.50/57.91 parent1[0]: (66) {G0,W2,D2,L1,V0,M1} I { function( skol13 ) }.
% 57.50/57.91 substitution0:
% 57.50/57.91 X := X
% 57.50/57.91 Y := Y
% 57.50/57.91 end
% 57.50/57.91 substitution1:
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 subsumption: (433) {G1,W10,D4,L2,V2,M2} R(27,65);r(66) { ! in( X,
% 57.50/57.91 relation_dom( relation_dom_restriction( skol13, Y ) ) ), in( X,
% 57.50/57.91 relation_dom( skol13 ) ) }.
% 57.50/57.91 parent0: (52415) {G1,W10,D4,L2,V2,M2} { ! in( X, relation_dom(
% 57.50/57.91 relation_dom_restriction( skol13, Y ) ) ), in( X, relation_dom( skol13 )
% 57.50/57.91 ) }.
% 57.50/57.91 substitution0:
% 57.50/57.91 X := X
% 57.50/57.91 Y := Y
% 57.50/57.91 end
% 57.50/57.91 permutation0:
% 57.50/57.91 0 ==> 0
% 57.50/57.91 1 ==> 1
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 resolution: (52416) {G1,W15,D4,L4,V2,M4} { ! function( skol13 ), ! in( X,
% 57.50/57.91 relation_dom( skol13 ) ), ! in( X, Y ), in( X, relation_dom(
% 57.50/57.91 relation_dom_restriction( skol13, Y ) ) ) }.
% 57.50/57.91 parent0[0]: (29) {G0,W17,D4,L5,V3,M5} I { ! relation( X ), ! function( X )
% 57.50/57.91 , ! in( Z, relation_dom( X ) ), ! in( Z, Y ), in( Z, relation_dom(
% 57.50/57.91 relation_dom_restriction( X, Y ) ) ) }.
% 57.50/57.91 parent1[0]: (65) {G0,W2,D2,L1,V0,M1} I { relation( skol13 ) }.
% 57.50/57.91 substitution0:
% 57.50/57.91 X := skol13
% 57.50/57.91 Y := Y
% 57.50/57.91 Z := X
% 57.50/57.91 end
% 57.50/57.91 substitution1:
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 resolution: (52419) {G1,W13,D4,L3,V2,M3} { ! in( X, relation_dom( skol13 )
% 57.50/57.91 ), ! in( X, Y ), in( X, relation_dom( relation_dom_restriction( skol13,
% 57.50/57.91 Y ) ) ) }.
% 57.50/57.91 parent0[0]: (52416) {G1,W15,D4,L4,V2,M4} { ! function( skol13 ), ! in( X,
% 57.50/57.91 relation_dom( skol13 ) ), ! in( X, Y ), in( X, relation_dom(
% 57.50/57.91 relation_dom_restriction( skol13, Y ) ) ) }.
% 57.50/57.91 parent1[0]: (66) {G0,W2,D2,L1,V0,M1} I { function( skol13 ) }.
% 57.50/57.91 substitution0:
% 57.50/57.91 X := X
% 57.50/57.91 Y := Y
% 57.50/57.91 end
% 57.50/57.91 substitution1:
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 subsumption: (530) {G1,W13,D4,L3,V2,M3} R(29,65);r(66) { ! in( X,
% 57.50/57.91 relation_dom( skol13 ) ), ! in( X, Y ), in( X, relation_dom(
% 57.50/57.91 relation_dom_restriction( skol13, Y ) ) ) }.
% 57.50/57.91 parent0: (52419) {G1,W13,D4,L3,V2,M3} { ! in( X, relation_dom( skol13 ) )
% 57.50/57.91 , ! in( X, Y ), in( X, relation_dom( relation_dom_restriction( skol13, Y
% 57.50/57.91 ) ) ) }.
% 57.50/57.91 substitution0:
% 57.50/57.91 X := X
% 57.50/57.91 Y := Y
% 57.50/57.91 end
% 57.50/57.91 permutation0:
% 57.50/57.91 0 ==> 0
% 57.50/57.91 1 ==> 1
% 57.50/57.91 2 ==> 2
% 57.50/57.91 end
% 57.50/57.91
% 57.50/57.91 eqswap: (52421) {G0,W16,D3,L6,V3,M6} { ! relation_dom_restriction( Y, Z )
% 57.50/57.91 = X, ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y ),
% 57.50/57.91 alpha1( X, Y ) }.
% 57.50/57.91 parent0[4]: (59) {G0,W16,D3,L6,V3,M6} I { ! relation( X ), ! function( X )
% 57.50/57.91 , ! relation( Y ), ! function( Y ), ! X = relation_dom_restriction( Y, Z
% 149.73/150.13 ), alpha1( X, Y ) }.
% 149.73/150.13 substitution0:
% 149.73/150.13 X := X
% 149.73/150.13 Y := Y
% 149.73/150.13 Z := Z
% 149.73/150.13 end
% 149.73/150.13
% 149.73/150.13 resolution: (52423) {G1,W14,D3,L5,V2,M5} { ! relation_dom_restriction(
% 149.73/150.13 skol13, X ) = Y, ! relation( Y ), ! function( Y ), ! function( skol13 ),
% 149.73/150.13 alpha1( Y, skol13 ) }.
% 149.73/150.13 parent0[3]: (52421) {G0,W16,D3,L6,V3,M6} { ! relation_dom_restriction( Y,
% 149.73/150.13 Z ) = X, ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y
% 149.73/150.13 ), alpha1( X, Y ) }.
% 149.73/150.13 parent1[0]: (65) {G0,W2,D2,L1,V0,M1} I { relation( skol13 ) }.
% 149.73/150.13 substitution0:
% 149.73/150.13 X := Y
% 149.73/150.13 Y := skol13
% 149.73/150.13 Z := X
% 149.73/150.13 end
% 149.73/150.13 substitution1:
% 149.73/150.13 end
% 149.73/150.13
% 149.73/150.13 resolution: (52429) {G1,W12,D3,L4,V2,M4} { ! relation_dom_restriction(
% 149.73/150.13 skol13, X ) = Y, ! relation( Y ), ! function( Y ), alpha1( Y, skol13 )
% 149.73/150.13 }.
% 149.73/150.13 parent0[3]: (52423) {G1,W14,D3,L5,V2,M5} { ! relation_dom_restriction(
% 149.73/150.13 skol13, X ) = Y, ! relation( Y ), ! function( Y ), ! function( skol13 ),
% 149.73/150.13 alpha1( Y, skol13 ) }.
% 149.73/150.13 parent1[0]: (66) {G0,W2,D2,L1,V0,M1} I { function( skol13 ) }.
% 149.73/150.13 substitution0:
% 149.73/150.13 X := X
% 149.73/150.13 Y := Y
% 149.73/150.13 end
% 149.73/150.13 substitution1:
% 149.73/150.13 end
% 149.73/150.13
% 149.73/150.13 eqswap: (52430) {G1,W12,D3,L4,V2,M4} { ! Y = relation_dom_restriction(
% 149.73/150.13 skol13, X ), ! relation( Y ), ! function( Y ), alpha1( Y, skol13 ) }.
% 149.73/150.13 parent0[0]: (52429) {G1,W12,D3,L4,V2,M4} { ! relation_dom_restriction(
% 149.73/150.13 skol13, X ) = Y, ! relation( Y ), ! function( Y ), alpha1( Y, skol13 )
% 149.73/150.13 }.
% 149.73/150.13 substitution0:
% 149.73/150.13 X := X
% 149.73/150.13 Y := Y
% 149.73/150.13 end
% 149.73/150.13
% 149.73/150.13 subsumption: (876) {G1,W12,D3,L4,V2,M4} R(59,65);r(66) { ! relation( X ), !
% 149.73/150.13 function( X ), ! X = relation_dom_restriction( skol13, Y ), alpha1( X,
% 149.73/150.13 skol13 ) }.
% 149.73/150.13 parent0: (52430) {G1,W12,D3,L4,V2,M4} { ! Y = relation_dom_restriction(
% 149.73/150.13 skol13, X ), ! relation( Y ), ! function( Y ), alpha1( Y, skol13 ) }.
% 149.73/150.13 substitution0:
% 149.73/150.13 X := Y
% 149.73/150.13 Y := X
% 149.73/150.13 end
% 149.73/150.13 permutation0:
% 149.73/150.13 0 ==> 2
% 149.73/150.13 1 ==> 0
% 149.73/150.13 2 ==> 1
% 149.73/150.13 3 ==> 3
% 149.73/150.13 end
% 149.73/150.13
% 149.73/150.13 eqswap: (52431) {G1,W12,D3,L4,V2,M4} { ! relation_dom_restriction( skol13
% 149.73/150.13 , Y ) = X, ! relation( X ), ! function( X ), alpha1( X, skol13 ) }.
% 149.73/150.13 parent0[2]: (876) {G1,W12,D3,L4,V2,M4} R(59,65);r(66) { ! relation( X ), !
% 149.73/150.13 function( X ), ! X = relation_dom_restriction( skol13, Y ), alpha1( X,
% 149.73/150.13 skol13 ) }.
% 149.73/150.13 substitution0:
% 149.73/150.13 X := X
% 149.73/150.13 Y := Y
% 149.73/150.13 end
% 149.73/150.13
% 149.73/150.13 eqrefl: (52432) {G0,W13,D3,L3,V1,M3} { ! relation(
% 149.73/150.13 relation_dom_restriction( skol13, X ) ), ! function(
% 149.73/150.13 relation_dom_restriction( skol13, X ) ), alpha1( relation_dom_restriction
% 149.73/150.13 ( skol13, X ), skol13 ) }.
% 149.73/150.13 parent0[0]: (52431) {G1,W12,D3,L4,V2,M4} { ! relation_dom_restriction(
% 149.73/150.13 skol13, Y ) = X, ! relation( X ), ! function( X ), alpha1( X, skol13 )
% 149.73/150.13 }.
% 149.73/150.13 substitution0:
% 149.73/150.13 X := relation_dom_restriction( skol13, X )
% 149.73/150.13 Y := X
% 149.73/150.13 end
% 149.73/150.13
% 149.73/150.13 resolution: (52433) {G1,W9,D3,L2,V1,M2} { ! function(
% 149.73/150.13 relation_dom_restriction( skol13, X ) ), alpha1( relation_dom_restriction
% 149.73/150.13 ( skol13, X ), skol13 ) }.
% 149.73/150.13 parent0[0]: (52432) {G0,W13,D3,L3,V1,M3} { ! relation(
% 149.73/150.13 relation_dom_restriction( skol13, X ) ), ! function(
% 149.73/150.13 relation_dom_restriction( skol13, X ) ), alpha1( relation_dom_restriction
% 149.73/150.13 ( skol13, X ), skol13 ) }.
% 149.73/150.13 parent1[0]: (196) {G1,W4,D3,L1,V1,M1} R(11,65) { relation(
% 149.73/150.13 relation_dom_restriction( skol13, X ) ) }.
% 149.73/150.13 substitution0:
% 149.73/150.13 X := X
% 149.73/150.13 end
% 149.73/150.13 substitution1:
% 149.73/150.13 X := X
% 149.73/150.13 end
% 149.73/150.13
% 149.73/150.13 subsumption: (880) {G2,W9,D3,L2,V1,M2} Q(876);r(196) { ! function(
% 149.73/150.13 relation_dom_restriction( skol13, X ) ), alpha1( relation_dom_restriction
% 149.73/150.13 ( skol13, X ), skol13 ) }.
% 149.73/150.13 parent0: (52433) {G1,W9,D3,L2,V1,M2} { ! function(
% 149.73/150.13 relation_dom_restriction( skol13, X ) ), alpha1( relation_dom_restriction
% 149.73/150.13 ( skol13, X ), skol13 ) }.
% 149.73/150.13 substitution0:
% 149.73/150.13 X := X
% 149.73/150.13 end
% 149.73/150.13 permutation0:
% 149.73/150.13 0 ==> 0
% 149.73/150.13 1 ==> 1
% 149.73/150.13 end
% 149.73/150.13
% 149.73/150.13 *** allocated 15000 integers for justifications
% 149.73/150.13 *** allocated 22500 integers for justifications
% 149.73/150.13 *** allocated 33750 integers for justifications
% 149.73/150.13 *** allocated 50625 integers for justifications
% 149.73/150.13 *** allocated 75937 integers for justifications
% 149.73/150.13 *** allocated 113905 integers for justifications
% 149.73/150.13 *** allocated 1297440 integers for termspace/termends
% 149.73/150.13 *** allocated 170857 integers for justifications
% 149.73/150.13 *** allocated 256285 integers for justifications
% 149.73/150.13 *** allocated 384427 integers for justifications
% 149.73/150.13 *** allocated 1946160 integers for termspaCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------