TSTP Solution File: SEU037+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU037+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 07:10:22 EDT 2022
% Result : Theorem 5.71s 6.08s
% Output : Refutation 5.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU037+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n017.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 : Sat Jun 18 22:54:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.34/1.73 *** allocated 10000 integers for termspace/termends
% 1.34/1.73 *** allocated 10000 integers for clauses
% 1.34/1.73 *** allocated 10000 integers for justifications
% 1.34/1.73 Bliksem 1.12
% 1.34/1.73
% 1.34/1.73
% 1.34/1.73 Automatic Strategy Selection
% 1.34/1.73
% 1.34/1.73
% 1.34/1.73 Clauses:
% 1.34/1.73
% 1.34/1.73 { ! in( X, Y ), ! in( Y, X ) }.
% 1.34/1.73 { ! empty( X ), function( X ) }.
% 1.34/1.73 { ! empty( X ), relation( X ) }.
% 1.34/1.73 { ! relation( X ), ! empty( X ), ! function( X ), relation( X ) }.
% 1.34/1.73 { ! relation( X ), ! empty( X ), ! function( X ), function( X ) }.
% 1.34/1.73 { ! relation( X ), ! empty( X ), ! function( X ), one_to_one( X ) }.
% 1.34/1.73 { set_intersection2( X, Y ) = set_intersection2( Y, X ) }.
% 1.34/1.73 { ! relation( X ), relation( relation_dom_restriction( X, Y ) ) }.
% 1.34/1.73 { element( skol1( X ), X ) }.
% 1.34/1.73 { empty( empty_set ) }.
% 1.34/1.73 { relation( empty_set ) }.
% 1.34/1.73 { relation_empty_yielding( empty_set ) }.
% 1.34/1.73 { ! relation( X ), ! relation_empty_yielding( X ), relation(
% 1.34/1.73 relation_dom_restriction( X, Y ) ) }.
% 1.34/1.73 { ! relation( X ), ! relation_empty_yielding( X ), relation_empty_yielding
% 1.34/1.73 ( relation_dom_restriction( X, Y ) ) }.
% 1.34/1.73 { ! relation( X ), ! relation( Y ), relation( set_intersection2( X, Y ) ) }
% 1.34/1.73 .
% 1.34/1.73 { ! empty( powerset( X ) ) }.
% 1.34/1.73 { empty( empty_set ) }.
% 1.34/1.73 { ! relation( X ), ! function( X ), relation( relation_dom_restriction( X,
% 1.34/1.73 Y ) ) }.
% 1.34/1.73 { ! relation( X ), ! function( X ), function( relation_dom_restriction( X,
% 1.34/1.73 Y ) ) }.
% 1.34/1.73 { empty( empty_set ) }.
% 1.34/1.73 { relation( empty_set ) }.
% 1.34/1.73 { empty( X ), ! relation( X ), ! empty( relation_dom( X ) ) }.
% 1.34/1.73 { ! empty( X ), empty( relation_dom( X ) ) }.
% 1.34/1.73 { ! empty( X ), relation( relation_dom( X ) ) }.
% 1.34/1.73 { set_intersection2( X, X ) = X }.
% 1.34/1.73 { relation( skol2 ) }.
% 1.34/1.73 { function( skol2 ) }.
% 1.34/1.73 { empty( skol3 ) }.
% 1.34/1.73 { relation( skol3 ) }.
% 1.34/1.73 { empty( X ), ! empty( skol4( Y ) ) }.
% 1.34/1.73 { empty( X ), element( skol4( X ), powerset( X ) ) }.
% 1.34/1.73 { empty( skol5 ) }.
% 1.34/1.73 { relation( skol6 ) }.
% 1.34/1.73 { empty( skol6 ) }.
% 1.34/1.73 { function( skol6 ) }.
% 1.34/1.73 { ! empty( skol7 ) }.
% 1.34/1.73 { relation( skol7 ) }.
% 1.34/1.73 { empty( skol8( Y ) ) }.
% 1.34/1.73 { element( skol8( X ), powerset( X ) ) }.
% 1.34/1.73 { ! empty( skol9 ) }.
% 1.34/1.73 { relation( skol10 ) }.
% 1.34/1.73 { function( skol10 ) }.
% 1.34/1.73 { one_to_one( skol10 ) }.
% 1.34/1.73 { relation( skol11 ) }.
% 1.34/1.73 { relation_empty_yielding( skol11 ) }.
% 1.34/1.73 { subset( X, X ) }.
% 1.34/1.73 { ! in( X, Y ), element( X, Y ) }.
% 1.34/1.73 { set_intersection2( X, empty_set ) = empty_set }.
% 1.34/1.73 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 1.34/1.73 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 1.34/1.73 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 1.34/1.73 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 1.34/1.73 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 1.34/1.73 { ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y ), ! X =
% 1.34/1.73 relation_dom_restriction( Y, Z ), relation_dom( X ) = set_intersection2
% 1.34/1.73 ( relation_dom( Y ), Z ) }.
% 1.34/1.73 { ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y ), ! X =
% 1.34/1.73 relation_dom_restriction( Y, Z ), alpha1( X, Y ) }.
% 1.34/1.73 { ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y ), !
% 1.34/1.73 relation_dom( X ) = set_intersection2( relation_dom( Y ), Z ), ! alpha1(
% 1.34/1.73 X, Y ), X = relation_dom_restriction( Y, Z ) }.
% 1.34/1.73 { ! alpha1( X, Y ), ! in( Z, relation_dom( X ) ), apply( X, Z ) = apply( Y
% 1.34/1.73 , Z ) }.
% 1.34/1.73 { in( skol12( X, Z ), relation_dom( X ) ), alpha1( X, Y ) }.
% 1.34/1.73 { ! apply( X, skol12( X, Y ) ) = apply( Y, skol12( X, Y ) ), alpha1( X, Y )
% 1.34/1.73 }.
% 1.34/1.73 { ! empty( X ), X = empty_set }.
% 1.34/1.73 { relation( skol13 ) }.
% 1.34/1.73 { function( skol13 ) }.
% 1.34/1.73 { in( skol15, set_intersection2( relation_dom( skol13 ), skol14 ) ) }.
% 1.34/1.73 { ! apply( relation_dom_restriction( skol13, skol14 ), skol15 ) = apply(
% 1.34/1.73 skol13, skol15 ) }.
% 1.34/1.73 { ! in( X, Y ), ! empty( Y ) }.
% 1.34/1.73 { ! empty( X ), X = Y, ! empty( Y ) }.
% 1.34/1.73
% 1.34/1.73 percentage equality = 0.117117, percentage horn = 0.949153
% 1.34/1.73 This is a problem with some equality
% 1.34/1.73
% 1.34/1.73
% 1.34/1.73
% 1.34/1.73 Options Used:
% 1.34/1.73
% 1.34/1.73 useres = 1
% 1.34/1.73 useparamod = 1
% 1.34/1.73 useeqrefl = 1
% 1.34/1.73 useeqfact = 1
% 1.34/1.73 usefactor = 1
% 1.34/1.73 usesimpsplitting = 0
% 1.34/1.73 usesimpdemod = 5
% 1.34/1.73 usesimpres = 3
% 1.34/1.73
% 1.34/1.73 resimpinuse = 1000
% 1.34/1.73 resimpclauses = 20000
% 1.34/1.73 substype = eqrewr
% 1.34/1.73 backwardsubs = 1
% 1.34/1.73 selectoldest = 5
% 1.34/1.73
% 1.34/1.73 litorderings [0] = split
% 1.34/1.73 litorderings [1] = extend the termordering, first sorting on arguments
% 1.34/1.73
% 1.34/1.73 termordering = kbo
% 1.34/1.73
% 1.34/1.73 litapriori = 0
% 1.34/1.73 termapriori = 1
% 1.34/1.73 litaposteriori = 0
% 5.71/6.07 termaposteriori = 0
% 5.71/6.07 demodaposteriori = 0
% 5.71/6.07 ordereqreflfact = 0
% 5.71/6.07
% 5.71/6.07 litselect = negord
% 5.71/6.07
% 5.71/6.07 maxweight = 15
% 5.71/6.07 maxdepth = 30000
% 5.71/6.07 maxlength = 115
% 5.71/6.07 maxnrvars = 195
% 5.71/6.07 excuselevel = 1
% 5.71/6.07 increasemaxweight = 1
% 5.71/6.07
% 5.71/6.07 maxselected = 10000000
% 5.71/6.07 maxnrclauses = 10000000
% 5.71/6.07
% 5.71/6.07 showgenerated = 0
% 5.71/6.07 showkept = 0
% 5.71/6.07 showselected = 0
% 5.71/6.07 showdeleted = 0
% 5.71/6.07 showresimp = 1
% 5.71/6.07 showstatus = 2000
% 5.71/6.07
% 5.71/6.07 prologoutput = 0
% 5.71/6.07 nrgoals = 5000000
% 5.71/6.07 totalproof = 1
% 5.71/6.07
% 5.71/6.07 Symbols occurring in the translation:
% 5.71/6.07
% 5.71/6.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.71/6.07 . [1, 2] (w:1, o:37, a:1, s:1, b:0),
% 5.71/6.07 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 5.71/6.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.71/6.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.71/6.07 in [37, 2] (w:1, o:61, a:1, s:1, b:0),
% 5.71/6.07 empty [38, 1] (w:1, o:27, a:1, s:1, b:0),
% 5.71/6.07 function [39, 1] (w:1, o:28, a:1, s:1, b:0),
% 5.71/6.07 relation [40, 1] (w:1, o:29, a:1, s:1, b:0),
% 5.71/6.07 one_to_one [41, 1] (w:1, o:30, a:1, s:1, b:0),
% 5.71/6.07 set_intersection2 [42, 2] (w:1, o:63, a:1, s:1, b:0),
% 5.71/6.07 relation_dom_restriction [43, 2] (w:1, o:62, a:1, s:1, b:0),
% 5.71/6.07 element [44, 2] (w:1, o:64, a:1, s:1, b:0),
% 5.71/6.07 empty_set [45, 0] (w:1, o:8, a:1, s:1, b:0),
% 5.71/6.07 relation_empty_yielding [46, 1] (w:1, o:32, a:1, s:1, b:0),
% 5.71/6.07 powerset [47, 1] (w:1, o:33, a:1, s:1, b:0),
% 5.71/6.07 relation_dom [48, 1] (w:1, o:31, a:1, s:1, b:0),
% 5.71/6.07 subset [49, 2] (w:1, o:65, a:1, s:1, b:0),
% 5.71/6.07 apply [52, 2] (w:1, o:66, a:1, s:1, b:0),
% 5.71/6.07 alpha1 [53, 2] (w:1, o:67, a:1, s:1, b:1),
% 5.71/6.07 skol1 [54, 1] (w:1, o:34, a:1, s:1, b:1),
% 5.71/6.07 skol2 [55, 0] (w:1, o:16, a:1, s:1, b:1),
% 5.71/6.07 skol3 [56, 0] (w:1, o:17, a:1, s:1, b:1),
% 5.71/6.07 skol4 [57, 1] (w:1, o:35, a:1, s:1, b:1),
% 5.71/6.07 skol5 [58, 0] (w:1, o:18, a:1, s:1, b:1),
% 5.71/6.07 skol6 [59, 0] (w:1, o:19, a:1, s:1, b:1),
% 5.71/6.07 skol7 [60, 0] (w:1, o:20, a:1, s:1, b:1),
% 5.71/6.07 skol8 [61, 1] (w:1, o:36, a:1, s:1, b:1),
% 5.71/6.07 skol9 [62, 0] (w:1, o:21, a:1, s:1, b:1),
% 5.71/6.07 skol10 [63, 0] (w:1, o:11, a:1, s:1, b:1),
% 5.71/6.07 skol11 [64, 0] (w:1, o:12, a:1, s:1, b:1),
% 5.71/6.07 skol12 [65, 2] (w:1, o:68, a:1, s:1, b:1),
% 5.71/6.07 skol13 [66, 0] (w:1, o:13, a:1, s:1, b:1),
% 5.71/6.07 skol14 [67, 0] (w:1, o:14, a:1, s:1, b:1),
% 5.71/6.07 skol15 [68, 0] (w:1, o:15, a:1, s:1, b:1).
% 5.71/6.07
% 5.71/6.07
% 5.71/6.07 Starting Search:
% 5.71/6.07
% 5.71/6.07 *** allocated 15000 integers for clauses
% 5.71/6.07 *** allocated 22500 integers for clauses
% 5.71/6.07 *** allocated 33750 integers for clauses
% 5.71/6.07 *** allocated 50625 integers for clauses
% 5.71/6.07 *** allocated 15000 integers for termspace/termends
% 5.71/6.07 *** allocated 75937 integers for clauses
% 5.71/6.07 Resimplifying inuse:
% 5.71/6.07 Done
% 5.71/6.07
% 5.71/6.07 *** allocated 22500 integers for termspace/termends
% 5.71/6.07 *** allocated 113905 integers for clauses
% 5.71/6.07 *** allocated 33750 integers for termspace/termends
% 5.71/6.07
% 5.71/6.07 Intermediate Status:
% 5.71/6.07 Generated: 6465
% 5.71/6.07 Kept: 2000
% 5.71/6.07 Inuse: 300
% 5.71/6.07 Deleted: 145
% 5.71/6.07 Deletedinuse: 75
% 5.71/6.07
% 5.71/6.07 Resimplifying inuse:
% 5.71/6.07 Done
% 5.71/6.07
% 5.71/6.07 *** allocated 170857 integers for clauses
% 5.71/6.07 Resimplifying inuse:
% 5.71/6.07 Done
% 5.71/6.07
% 5.71/6.07 *** allocated 50625 integers for termspace/termends
% 5.71/6.07 *** allocated 256285 integers for clauses
% 5.71/6.07
% 5.71/6.07 Intermediate Status:
% 5.71/6.08 Generated: 10662
% 5.71/6.08 Kept: 4032
% 5.71/6.08 Inuse: 365
% 5.71/6.08 Deleted: 151
% 5.71/6.08 Deletedinuse: 75
% 5.71/6.08
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08 *** allocated 75937 integers for termspace/termends
% 5.71/6.08 *** allocated 384427 integers for clauses
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08
% 5.71/6.08 Intermediate Status:
% 5.71/6.08 Generated: 15397
% 5.71/6.08 Kept: 6049
% 5.71/6.08 Inuse: 421
% 5.71/6.08 Deleted: 153
% 5.71/6.08 Deletedinuse: 76
% 5.71/6.08
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08 *** allocated 113905 integers for termspace/termends
% 5.71/6.08 *** allocated 576640 integers for clauses
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08
% 5.71/6.08 Intermediate Status:
% 5.71/6.08 Generated: 19839
% 5.71/6.08 Kept: 8059
% 5.71/6.08 Inuse: 479
% 5.71/6.08 Deleted: 168
% 5.71/6.08 Deletedinuse: 78
% 5.71/6.08
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08 *** allocated 170857 integers for termspace/termends
% 5.71/6.08
% 5.71/6.08 Intermediate Status:
% 5.71/6.08 Generated: 24308
% 5.71/6.08 Kept: 10069
% 5.71/6.08 Inuse: 534
% 5.71/6.08 Deleted: 179
% 5.71/6.08 Deletedinuse: 78
% 5.71/6.08
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08 *** allocated 864960 integers for clauses
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08
% 5.71/6.08 Intermediate Status:
% 5.71/6.08 Generated: 28510
% 5.71/6.08 Kept: 12091
% 5.71/6.08 Inuse: 579
% 5.71/6.08 Deleted: 180
% 5.71/6.08 Deletedinuse: 78
% 5.71/6.08
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08
% 5.71/6.08 Intermediate Status:
% 5.71/6.08 Generated: 32908
% 5.71/6.08 Kept: 14101
% 5.71/6.08 Inuse: 629
% 5.71/6.08 Deleted: 192
% 5.71/6.08 Deletedinuse: 79
% 5.71/6.08
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08 *** allocated 256285 integers for termspace/termends
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08 *** allocated 1297440 integers for clauses
% 5.71/6.08
% 5.71/6.08 Intermediate Status:
% 5.71/6.08 Generated: 37015
% 5.71/6.08 Kept: 16433
% 5.71/6.08 Inuse: 667
% 5.71/6.08 Deleted: 194
% 5.71/6.08 Deletedinuse: 80
% 5.71/6.08
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08
% 5.71/6.08 Intermediate Status:
% 5.71/6.08 Generated: 40692
% 5.71/6.08 Kept: 18754
% 5.71/6.08 Inuse: 697
% 5.71/6.08 Deleted: 206
% 5.71/6.08 Deletedinuse: 82
% 5.71/6.08
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08 Resimplifying clauses:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08
% 5.71/6.08 Intermediate Status:
% 5.71/6.08 Generated: 50496
% 5.71/6.08 Kept: 20841
% 5.71/6.08 Inuse: 803
% 5.71/6.08 Deleted: 934
% 5.71/6.08 Deletedinuse: 89
% 5.71/6.08
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08 *** allocated 384427 integers for termspace/termends
% 5.71/6.08
% 5.71/6.08 Intermediate Status:
% 5.71/6.08 Generated: 55606
% 5.71/6.08 Kept: 22896
% 5.71/6.08 Inuse: 881
% 5.71/6.08 Deleted: 972
% 5.71/6.08 Deletedinuse: 123
% 5.71/6.08
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08
% 5.71/6.08 Intermediate Status:
% 5.71/6.08 Generated: 86437
% 5.71/6.08 Kept: 24926
% 5.71/6.08 Inuse: 1063
% 5.71/6.08 Deleted: 1015
% 5.71/6.08 Deletedinuse: 130
% 5.71/6.08
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08 *** allocated 1946160 integers for clauses
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08
% 5.71/6.08 Intermediate Status:
% 5.71/6.08 Generated: 112139
% 5.71/6.08 Kept: 26951
% 5.71/6.08 Inuse: 1175
% 5.71/6.08 Deleted: 1036
% 5.71/6.08 Deletedinuse: 142
% 5.71/6.08
% 5.71/6.08 Resimplifying inuse:
% 5.71/6.08 Done
% 5.71/6.08
% 5.71/6.08
% 5.71/6.08 Bliksems!, er is een bewijs:
% 5.71/6.08 % SZS status Theorem
% 5.71/6.08 % SZS output start Refutation
% 5.71/6.08
% 5.71/6.08 (5) {G0,W6,D3,L2,V2,M2} I { ! relation( X ), relation(
% 5.71/6.08 relation_dom_restriction( X, Y ) ) }.
% 5.71/6.08 (13) {G0,W8,D3,L3,V2,M3} I { ! relation( X ), ! function( X ), function(
% 5.71/6.08 relation_dom_restriction( X, Y ) ) }.
% 5.71/6.08 (46) {G0,W20,D4,L6,V3,M6} I { ! relation( X ), ! function( X ), ! relation
% 5.71/6.08 ( Y ), ! function( Y ), ! X = relation_dom_restriction( Y, Z ),
% 5.71/6.08 relation_dom( X ) = set_intersection2( relation_dom( Y ), Z ) }.
% 5.71/6.08 (47) {G0,W16,D3,L6,V3,M6} I { ! relation( X ), ! function( X ), ! relation
% 5.71/6.08 ( Y ), ! function( Y ), ! X = relation_dom_restriction( Y, Z ), alpha1( X
% 5.71/6.08 , Y ) }.
% 5.71/6.08 (49) {G0,W14,D3,L3,V3,M3} I { ! alpha1( X, Y ), ! in( Z, relation_dom( X )
% 5.71/6.08 ), apply( X, Z ) = apply( Y, Z ) }.
% 5.71/6.08 (53) {G0,W2,D2,L1,V0,M1} I { relation( skol13 ) }.
% 5.71/6.08 (54) {G0,W2,D2,L1,V0,M1} I { function( skol13 ) }.
% 5.71/6.08 (55) {G0,W6,D4,L1,V0,M1} I { in( skol15, set_intersection2( relation_dom(
% 5.71/6.08 skol13 ), skol14 ) ) }.
% 5.71/6.08 (56) {G0,W9,D4,L1,V0,M1} I { ! apply( relation_dom_restriction( skol13,
% 5.71/6.08 skol14 ), skol15 ) ==> apply( skol13, skol15 ) }.
% 5.71/6.08 (81) {G1,W4,D3,L1,V1,M1} R(5,53) { relation( relation_dom_restriction(
% 5.71/6.08 skol13, X ) ) }.
% 5.71/6.08 (155) {G1,W4,D3,L1,V1,M1} R(13,53);r(54) { function(
% 5.71/6.08 relation_dom_restriction( skol13, X ) ) }.
% 5.71/6.08 (496) {G1,W12,D3,L4,V2,M4} R(47,53);r(54) { ! relation( X ), ! function( X
% 5.71/6.08 ), ! X = relation_dom_restriction( skol13, Y ), alpha1( X, skol13 ) }.
% 5.71/6.08 (497) {G2,W9,D3,L2,V1,M2} Q(496);r(81) { ! function(
% 5.71/6.08 relation_dom_restriction( skol13, X ) ), alpha1( relation_dom_restriction
% 5.71/6.08 ( skol13, X ), skol13 ) }.
% 5.71/6.08 (612) {G1,W15,D3,L5,V1,M5} P(46,55);r(53) { in( skol15, relation_dom( X ) )
% 5.71/6.08 , ! relation( X ), ! function( X ), ! function( skol13 ), ! X =
% 5.71/6.08 relation_dom_restriction( skol13, skol14 ) }.
% 5.71/6.08 (615) {G2,W12,D4,L3,V0,M3} Q(612);r(81) { in( skol15, relation_dom(
% 5.71/6.08 relation_dom_restriction( skol13, skol14 ) ) ), ! function(
% 5.71/6.08 relation_dom_restriction( skol13, skol14 ) ), ! function( skol13 ) }.
% 5.71/6.08 (628) {G1,W18,D4,L3,V1,M3} P(49,56) { ! apply( X, skol15 ) = apply( skol13
% 5.71/6.08 , skol15 ), ! alpha1( relation_dom_restriction( skol13, skol14 ), X ), !
% 5.71/6.08 in( skol15, relation_dom( relation_dom_restriction( skol13, skol14 ) ) )
% 5.71/6.08 }.
% 5.71/6.08 (20043) {G3,W6,D4,L1,V0,M1} S(615);r(155);r(54) { in( skol15, relation_dom
% 5.71/6.08 ( relation_dom_restriction( skol13, skol14 ) ) ) }.
% 5.71/6.08 (20052) {G3,W5,D3,L1,V1,M1} S(497);r(155) { alpha1(
% 5.71/6.08 relation_dom_restriction( skol13, X ), skol13 ) }.
% 5.71/6.08 (27532) {G4,W12,D3,L2,V1,M2} S(628);r(20043) { ! apply( X, skol15 ) = apply
% 5.71/6.08 ( skol13, skol15 ), ! alpha1( relation_dom_restriction( skol13, skol14 )
% 5.71/6.08 , X ) }.
% 5.71/6.08 (27533) {G5,W0,D0,L0,V0,M0} Q(27532);r(20052) { }.
% 5.71/6.08
% 5.71/6.08
% 5.71/6.08 % SZS output end Refutation
% 5.71/6.08 found a proof!
% 5.71/6.08
% 5.71/6.08
% 5.71/6.08 Unprocessed initial clauses:
% 5.71/6.08
% 5.71/6.08 (27535) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 5.71/6.08 (27536) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 5.71/6.08 (27537) {G0,W4,D2,L2,V1,M2} { ! empty( X ), relation( X ) }.
% 5.71/6.08 (27538) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 5.71/6.08 ), relation( X ) }.
% 5.71/6.08 (27539) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 5.71/6.08 ), function( X ) }.
% 5.71/6.08 (27540) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 5.71/6.08 ), one_to_one( X ) }.
% 5.71/6.08 (27541) {G0,W7,D3,L1,V2,M1} { set_intersection2( X, Y ) =
% 5.71/6.08 set_intersection2( Y, X ) }.
% 5.71/6.08 (27542) {G0,W6,D3,L2,V2,M2} { ! relation( X ), relation(
% 5.71/6.08 relation_dom_restriction( X, Y ) ) }.
% 5.71/6.08 (27543) {G0,W4,D3,L1,V1,M1} { element( skol1( X ), X ) }.
% 5.71/6.08 (27544) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 5.71/6.08 (27545) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 5.71/6.08 (27546) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 5.71/6.08 (27547) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! relation_empty_yielding(
% 5.71/6.08 X ), relation( relation_dom_restriction( X, Y ) ) }.
% 5.71/6.08 (27548) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! relation_empty_yielding(
% 5.71/6.08 X ), relation_empty_yielding( relation_dom_restriction( X, Y ) ) }.
% 5.71/6.08 (27549) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! relation( Y ), relation(
% 5.71/6.08 set_intersection2( X, Y ) ) }.
% 5.71/6.08 (27550) {G0,W3,D3,L1,V1,M1} { ! empty( powerset( X ) ) }.
% 5.71/6.08 (27551) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 5.71/6.08 (27552) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! function( X ), relation(
% 5.71/6.08 relation_dom_restriction( X, Y ) ) }.
% 5.71/6.08 (27553) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! function( X ), function(
% 5.71/6.08 relation_dom_restriction( X, Y ) ) }.
% 5.71/6.08 (27554) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 5.71/6.08 (27555) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 5.71/6.08 (27556) {G0,W7,D3,L3,V1,M3} { empty( X ), ! relation( X ), ! empty(
% 5.71/6.08 relation_dom( X ) ) }.
% 5.71/6.08 (27557) {G0,W5,D3,L2,V1,M2} { ! empty( X ), empty( relation_dom( X ) ) }.
% 5.71/6.08 (27558) {G0,W5,D3,L2,V1,M2} { ! empty( X ), relation( relation_dom( X ) )
% 5.71/6.08 }.
% 5.71/6.08 (27559) {G0,W5,D3,L1,V1,M1} { set_intersection2( X, X ) = X }.
% 5.71/6.08 (27560) {G0,W2,D2,L1,V0,M1} { relation( skol2 ) }.
% 5.71/6.08 (27561) {G0,W2,D2,L1,V0,M1} { function( skol2 ) }.
% 5.71/6.08 (27562) {G0,W2,D2,L1,V0,M1} { empty( skol3 ) }.
% 5.71/6.08 (27563) {G0,W2,D2,L1,V0,M1} { relation( skol3 ) }.
% 5.71/6.08 (27564) {G0,W5,D3,L2,V2,M2} { empty( X ), ! empty( skol4( Y ) ) }.
% 5.71/6.08 (27565) {G0,W7,D3,L2,V1,M2} { empty( X ), element( skol4( X ), powerset( X
% 5.71/6.08 ) ) }.
% 5.71/6.08 (27566) {G0,W2,D2,L1,V0,M1} { empty( skol5 ) }.
% 5.71/6.08 (27567) {G0,W2,D2,L1,V0,M1} { relation( skol6 ) }.
% 5.71/6.08 (27568) {G0,W2,D2,L1,V0,M1} { empty( skol6 ) }.
% 5.71/6.08 (27569) {G0,W2,D2,L1,V0,M1} { function( skol6 ) }.
% 5.71/6.08 (27570) {G0,W2,D2,L1,V0,M1} { ! empty( skol7 ) }.
% 5.71/6.08 (27571) {G0,W2,D2,L1,V0,M1} { relation( skol7 ) }.
% 5.71/6.08 (27572) {G0,W3,D3,L1,V1,M1} { empty( skol8( Y ) ) }.
% 5.71/6.08 (27573) {G0,W5,D3,L1,V1,M1} { element( skol8( X ), powerset( X ) ) }.
% 5.71/6.08 (27574) {G0,W2,D2,L1,V0,M1} { ! empty( skol9 ) }.
% 5.71/6.08 (27575) {G0,W2,D2,L1,V0,M1} { relation( skol10 ) }.
% 5.71/6.08 (27576) {G0,W2,D2,L1,V0,M1} { function( skol10 ) }.
% 5.71/6.08 (27577) {G0,W2,D2,L1,V0,M1} { one_to_one( skol10 ) }.
% 5.71/6.08 (27578) {G0,W2,D2,L1,V0,M1} { relation( skol11 ) }.
% 5.71/6.08 (27579) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol11 ) }.
% 5.71/6.08 (27580) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 5.71/6.08 (27581) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 5.71/6.08 (27582) {G0,W5,D3,L1,V1,M1} { set_intersection2( X, empty_set ) =
% 5.71/6.08 empty_set }.
% 5.71/6.08 (27583) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 5.71/6.08 }.
% 5.71/6.08 (27584) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y
% 5.71/6.08 ) }.
% 5.71/6.08 (27585) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y )
% 5.71/6.08 ) }.
% 5.71/6.08 (27586) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y ) )
% 5.71/6.08 , element( X, Y ) }.
% 5.71/6.08 (27587) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) )
% 5.71/6.08 , ! empty( Z ) }.
% 5.71/6.08 (27588) {G0,W20,D4,L6,V3,M6} { ! relation( X ), ! function( X ), !
% 5.71/6.08 relation( Y ), ! function( Y ), ! X = relation_dom_restriction( Y, Z ),
% 5.71/6.08 relation_dom( X ) = set_intersection2( relation_dom( Y ), Z ) }.
% 5.71/6.08 (27589) {G0,W16,D3,L6,V3,M6} { ! relation( X ), ! function( X ), !
% 5.71/6.08 relation( Y ), ! function( Y ), ! X = relation_dom_restriction( Y, Z ),
% 5.71/6.08 alpha1( X, Y ) }.
% 5.71/6.08 (27590) {G0,W23,D4,L7,V3,M7} { ! relation( X ), ! function( X ), !
% 5.71/6.08 relation( Y ), ! function( Y ), ! relation_dom( X ) = set_intersection2(
% 5.71/6.08 relation_dom( Y ), Z ), ! alpha1( X, Y ), X = relation_dom_restriction( Y
% 5.71/6.08 , Z ) }.
% 5.71/6.08 (27591) {G0,W14,D3,L3,V3,M3} { ! alpha1( X, Y ), ! in( Z, relation_dom( X
% 5.71/6.08 ) ), apply( X, Z ) = apply( Y, Z ) }.
% 5.71/6.08 (27592) {G0,W9,D3,L2,V3,M2} { in( skol12( X, Z ), relation_dom( X ) ),
% 5.71/6.08 alpha1( X, Y ) }.
% 5.71/6.08 (27593) {G0,W14,D4,L2,V2,M2} { ! apply( X, skol12( X, Y ) ) = apply( Y,
% 5.71/6.08 skol12( X, Y ) ), alpha1( X, Y ) }.
% 5.71/6.08 (27594) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 5.71/6.08 (27595) {G0,W2,D2,L1,V0,M1} { relation( skol13 ) }.
% 5.71/6.08 (27596) {G0,W2,D2,L1,V0,M1} { function( skol13 ) }.
% 5.71/6.08 (27597) {G0,W6,D4,L1,V0,M1} { in( skol15, set_intersection2( relation_dom
% 5.71/6.08 ( skol13 ), skol14 ) ) }.
% 5.71/6.08 (27598) {G0,W9,D4,L1,V0,M1} { ! apply( relation_dom_restriction( skol13,
% 5.71/6.08 skol14 ), skol15 ) = apply( skol13, skol15 ) }.
% 5.71/6.08 (27599) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 5.71/6.08 (27600) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 5.71/6.08
% 5.71/6.08
% 5.71/6.08 Total Proof:
% 5.71/6.08
% 5.71/6.08 subsumption: (5) {G0,W6,D3,L2,V2,M2} I { ! relation( X ), relation(
% 5.71/6.08 relation_dom_restriction( X, Y ) ) }.
% 5.71/6.08 parent0: (27542) {G0,W6,D3,L2,V2,M2} { ! relation( X ), relation(
% 5.71/6.08 relation_dom_restriction( X, Y ) ) }.
% 5.71/6.08 substitution0:
% 5.71/6.08 X := X
% 5.71/6.08 Y := Y
% 5.71/6.08 end
% 5.71/6.08 permutation0:
% 5.71/6.08 0 ==> 0
% 5.71/6.08 1 ==> 1
% 5.71/6.08 end
% 5.71/6.08
% 5.71/6.08 subsumption: (13) {G0,W8,D3,L3,V2,M3} I { ! relation( X ), ! function( X )
% 5.71/6.08 , function( relation_dom_restriction( X, Y ) ) }.
% 5.71/6.08 parent0: (27553) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! function( X ),
% 5.71/6.08 function( relation_dom_restriction( X, Y ) ) }.
% 5.71/6.08 substitution0:
% 5.71/6.08 X := X
% 5.71/6.08 Y := Y
% 5.71/6.08 end
% 5.71/6.08 permutation0:
% 5.71/6.08 0 ==> 0
% 5.71/6.08 1 ==> 1
% 5.71/6.08 2 ==> 2
% 5.71/6.08 end
% 5.71/6.08
% 5.71/6.08 subsumption: (46) {G0,W20,D4,L6,V3,M6} I { ! relation( X ), ! function( X )
% 5.71/6.08 , ! relation( Y ), ! function( Y ), ! X = relation_dom_restriction( Y, Z
% 5.71/6.08 ), relation_dom( X ) = set_intersection2( relation_dom( Y ), Z ) }.
% 5.71/6.08 parent0: (27588) {G0,W20,D4,L6,V3,M6} { ! relation( X ), ! function( X ),
% 5.71/6.08 ! relation( Y ), ! function( Y ), ! X = relation_dom_restriction( Y, Z )
% 5.71/6.08 , relation_dom( X ) = set_intersection2( relation_dom( Y ), Z ) }.
% 5.71/6.08 substitution0:
% 5.71/6.08 X := X
% 5.71/6.08 Y := Y
% 5.71/6.08 Z := Z
% 5.71/6.08 end
% 5.71/6.08 permutation0:
% 5.71/6.08 0 ==> 0
% 5.71/6.08 1 ==> 1
% 5.71/6.08 2 ==> 2
% 5.71/6.08 3 ==> 3
% 5.71/6.08 4 ==> 4
% 5.71/6.08 5 ==> 5
% 5.71/6.08 end
% 5.71/6.08
% 5.71/6.08 subsumption: (47) {G0,W16,D3,L6,V3,M6} I { ! relation( X ), ! function( X )
% 5.71/6.08 , ! relation( Y ), ! function( Y ), ! X = relation_dom_restriction( Y, Z
% 5.71/6.08 ), alpha1( X, Y ) }.
% 5.71/6.08 parent0: (27589) {G0,W16,D3,L6,V3,M6} { ! relation( X ), ! function( X ),
% 5.71/6.08 ! relation( Y ), ! function( Y ), ! X = relation_dom_restriction( Y, Z )
% 5.71/6.08 , alpha1( X, Y ) }.
% 5.71/6.08 substitution0:
% 5.71/6.08 X := X
% 5.71/6.08 Y := Y
% 5.71/6.08 Z := Z
% 5.71/6.08 end
% 5.71/6.08 permutation0:
% 5.71/6.08 0 ==> 0
% 5.71/6.08 1 ==> 1
% 5.71/6.08 2 ==> 2
% 5.71/6.08 3 ==> 3
% 5.71/6.08 4 ==> 4
% 5.71/6.08 5 ==> 5
% 5.71/6.08 end
% 5.71/6.08
% 5.71/6.08 subsumption: (49) {G0,W14,D3,L3,V3,M3} I { ! alpha1( X, Y ), ! in( Z,
% 5.71/6.08 relation_dom( X ) ), apply( X, Z ) = apply( Y, Z ) }.
% 5.71/6.08 parent0: (27591) {G0,W14,D3,L3,V3,M3} { ! alpha1( X, Y ), ! in( Z,
% 5.71/6.08 relation_dom( X ) ), apply( X, Z ) = apply( Y, Z ) }.
% 5.71/6.08 substitution0:
% 5.71/6.08 X := X
% 5.71/6.08 Y := Y
% 5.71/6.08 Z := Z
% 5.71/6.08 end
% 5.71/6.08 permutation0:
% 5.71/6.08 0 ==> 0
% 5.71/6.08 1 ==> 1
% 5.71/6.08 2 ==> 2
% 5.71/6.08 end
% 5.71/6.08
% 5.71/6.08 subsumption: (53) {G0,W2,D2,L1,V0,M1} I { relation( skol13 ) }.
% 5.71/6.08 parent0: (27595) {G0,W2,D2,L1,V0,M1} { relation( skol13 ) }.
% 5.71/6.08 substitution0:
% 5.71/6.08 end
% 5.71/6.08 permutation0:
% 5.71/6.08 0 ==> 0
% 5.71/6.08 end
% 5.71/6.08
% 5.71/6.08 subsumption: (54) {G0,W2,D2,L1,V0,M1} I { function( skol13 ) }.
% 5.71/6.08 parent0: (27596) {G0,W2,D2,L1,V0,M1} { function( skol13 ) }.
% 5.71/6.08 substitution0:
% 5.71/6.08 end
% 5.71/6.08 permutation0:
% 5.71/6.08 0 ==> 0
% 5.71/6.08 end
% 5.71/6.08
% 5.71/6.08 subsumption: (55) {G0,W6,D4,L1,V0,M1} I { in( skol15, set_intersection2(
% 5.71/6.08 relation_dom( skol13 ), skol14 ) ) }.
% 5.71/6.08 parent0: (27597) {G0,W6,D4,L1,V0,M1} { in( skol15, set_intersection2(
% 5.71/6.08 relation_dom( skol13 ), skol14 ) ) }.
% 5.71/6.08 substitution0:
% 5.71/6.08 end
% 5.71/6.08 permutation0:
% 5.71/6.08 0 ==> 0
% 5.71/6.08 end
% 5.71/6.08
% 5.71/6.08 subsumption: (56) {G0,W9,D4,L1,V0,M1} I { ! apply( relation_dom_restriction
% 5.71/6.08 ( skol13, skol14 ), skol15 ) ==> apply( skol13, skol15 ) }.
% 5.71/6.08 parent0: (27598) {G0,W9,D4,L1,V0,M1} { ! apply( relation_dom_restriction(
% 5.71/6.08 skol13, skol14 ), skol15 ) = apply( skol13, skol15 ) }.
% 5.71/6.08 substitution0:
% 5.71/6.08 end
% 5.71/6.08 permutation0:
% 5.71/6.08 0 ==> 0
% 5.71/6.08 end
% 5.71/6.08
% 5.71/6.08 resolution: (27808) {G1,W4,D3,L1,V1,M1} { relation(
% 5.71/6.08 relation_dom_restriction( skol13, X ) ) }.
% 5.71/6.08 parent0[0]: (5) {G0,W6,D3,L2,V2,M2} I { ! relation( X ), relation(
% 5.71/6.08 relation_dom_restriction( X, Y ) ) }.
% 5.71/6.08 parent1[0]: (53) {G0,W2,D2,L1,V0,M1} I { relation( skol13 ) }.
% 5.71/6.08 substitution0:
% 5.71/6.08 X := skol13
% 5.71/6.08 Y := X
% 5.71/6.08 end
% 5.71/6.08 substitution1:
% 5.71/6.08 end
% 5.71/6.08
% 5.71/6.08 subsumption: (81) {G1,W4,D3,L1,V1,M1} R(5,53) { relation(
% 5.71/6.08 relation_dom_restriction( skol13, X ) ) }.
% 5.71/6.08 parent0: (27808) {G1,W4,D3,L1,V1,M1} { relation( relation_dom_restriction
% 5.71/6.08 ( skol13, X ) ) }.
% 5.71/6.08 substitution0:
% 5.71/6.08 X := X
% 5.71/6.08 end
% 5.71/6.08 permutation0:
% 5.71/6.08 0 ==> 0
% 5.71/6.08 end
% 5.71/6.08
% 5.71/6.08 resolution: (27809) {G1,W6,D3,L2,V1,M2} { ! function( skol13 ), function(
% 5.71/6.08 relation_dom_restriction( skol13, X ) ) }.
% 5.71/6.08 parent0[0]: (13) {G0,W8,D3,L3,V2,M3} I { ! relation( X ), ! function( X ),
% 5.71/6.08 function( relation_dom_restriction( X, Y ) ) }.
% 5.71/6.08 parent1[0]: (53) {G0,W2,D2,L1,V0,M1} I { relation( skol13 ) }.
% 5.71/6.08 substitution0:
% 5.71/6.08 X := skol13
% 5.71/6.08 Y := X
% 5.71/6.08 end
% 5.71/6.08 substitution1:
% 5.71/6.08 end
% 5.71/6.08
% 5.71/6.08 resolution: (27810) {G1,W4,D3,L1,V1,M1} { function(
% 5.71/6.08 relation_dom_restriction( skol13, X ) ) }.
% 5.71/6.08 parent0[0]: (27809) {G1,W6,D3,L2,V1,M2} { ! function( skol13 ), function(
% 5.71/6.08 relation_dom_restriction( skol13, X ) ) }.
% 5.71/6.08 parent1[0]: (54) {G0,W2,D2,L1,V0,M1} I { function( skol13 ) }.
% 5.71/6.08 substitution0:
% 5.71/6.08 X := X
% 5.71/6.08 end
% 5.71/6.08 substitution1:
% 5.71/6.08 end
% 5.71/6.08
% 5.71/6.08 subsumption: (155) {G1,W4,D3,L1,V1,M1} R(13,53);r(54) { function(
% 5.71/6.08 relation_dom_restriction( skol13, X ) ) }.
% 5.71/6.08 parent0: (27810) {G1,W4,D3,L1,V1,M1} { function( relation_dom_restriction
% 5.71/6.08 ( skol13, X ) ) }.
% 5.71/6.08 substitution0:
% 5.71/6.08 X := X
% 5.71/6.08 end
% 5.71/6.08 permutation0:
% 5.71/6.08 0 ==> 0
% 5.71/6.08 end
% 5.71/6.08
% 5.71/6.08 eqswap: (27811) {G0,W16,D3,L6,V3,M6} { ! relation_dom_restriction( Y, Z )
% 5.71/6.08 = X, ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y ),
% 5.71/6.08 alpha1( X, Y ) }.
% 5.71/6.08 parent0[4]: (47) {G0,W16,D3,L6,V3,M6} I { ! relation( X ), ! function( X )
% 5.71/6.08 , ! relation( Y ), ! function( Y ), ! X = relation_dom_restriction( Y, Z
% 5.71/6.08 ), alpha1( X, Y ) }.
% 5.71/6.08 substitution0:
% 5.71/6.08 X := X
% 5.71/6.08 Y := Y
% 5.71/6.08 Z := Z
% 5.71/6.08 end
% 5.71/6.08
% 5.71/6.08 resolution: (27813) {G1,W14,D3,L5,V2,M5} { ! relation_dom_restriction(
% 5.71/6.08 skol13, X ) = Y, ! relation( Y ), ! function( Y ), ! function( skol13 ),
% 5.71/6.08 alpha1( Y, skol13 ) }.
% 5.71/6.08 parent0[3]: (27811) {G0,W16,D3,L6,V3,M6} { ! relation_dom_restriction( Y,
% 5.71/6.08 Z ) = X, ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y
% 5.71/6.08 ), alpha1( X, Y ) }.
% 5.71/6.08 parent1[0]: (53) {G0,W2,D2,L1,V0,M1} I { relation( skol13 ) }.
% 5.71/6.08 substitution0:
% 5.71/6.08 X := Y
% 5.71/6.08 Y := skol13
% 5.71/6.08 Z := X
% 5.71/6.08 end
% 5.71/6.08 substitution1:
% 5.71/6.08 end
% 5.71/6.08
% 5.71/6.08 resolution: (27819) {G1,W12,D3,L4,V2,M4} { ! relation_dom_restriction(
% 5.71/6.08 skol13, X ) = Y, ! relation( Y ), ! function( Y ), alpha1( Y, skol13 )
% 5.71/6.08 }.
% 5.71/6.08 parent0[3]: (27813) {G1,W14,D3,L5,V2,M5} { ! relation_dom_restriction(
% 5.71/6.08 skol13, X ) = Y, ! relation( Y ), ! function( Y ), ! function( skol13 ),
% 5.71/6.08 alpha1( Y, skol13 ) }.
% 5.71/6.08 parent1[0]: (54) {G0,W2,D2,L1,V0,M1} I { function( skol13 ) }.
% 5.71/6.08 substitution0:
% 5.71/6.08 X := X
% 5.71/6.08 Y := Y
% 5.71/6.08 end
% 5.71/6.08 substitution1:
% 5.71/6.08 end
% 5.71/6.08
% 5.71/6.08 eqswap: (27820) {G1,W12,D3,L4,V2,M4} { ! Y = relation_dom_restriction(
% 5.71/6.08 skol13, X ), ! relation( Y ), ! function( Y ), alpha1( Y, skol13 ) }.
% 5.71/6.08 parent0[0]: (27819) {G1,W12,D3,L4,V2,M4} { ! relation_dom_restriction(
% 5.71/6.08 skol13, X ) = Y, ! relation( Y ), ! function( Y ), alpha1( Y, skol13 )
% 5.71/6.08 }.
% 5.71/6.08 substitution0:
% 5.71/6.08 X := X
% 5.71/6.08 Y := Y
% 5.71/6.08 end
% 5.71/6.08
% 5.71/6.08 subsumption: (496) {G1,W12,D3,L4,V2,M4} R(47,53);r(54) { ! relation( X ), !
% 5.71/6.08 function( X ), ! X = relation_dom_restriction( skol13, Y ), alpha1( X,
% 5.71/6.08 skol13 ) }.
% 5.71/6.08 parent0: (27820) {G1,W12,D3,L4,V2,M4} { ! Y = relation_dom_restriction(
% 5.71/6.08 skol13, X ), ! relation( Y ), ! function( Y ), alpha1( Y, skol13 ) }.
% 5.71/6.08 substitution0:
% 5.71/6.08 X := Y
% 5.71/6.08 Y := X
% 5.71/6.08 end
% 5.71/6.08 permutation0:
% 5.71/6.08 0 ==> 2
% 5.71/6.08 1 ==> 0
% 5.71/6.08 2 ==> 1
% 5.71/6.08 3 ==> 3
% 5.71/6.08 end
% 5.71/6.08
% 5.71/6.08 eqswap: (27821) {G1,W12,D3,L4,V2,M4} { ! relation_dom_restriction( skol13
% 5.71/6.08 , Y ) = X, ! relation( X ), ! function( X ), alpha1( X, skol13 ) }.
% 5.71/6.08 parent0[2]: (496) {G1,W12,D3,L4,V2,M4} R(47,53);r(Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------