TSTP Solution File: SEU025+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU025+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 07:10:19 EDT 2022
% Result : Theorem 13.84s 14.22s
% Output : Refutation 13.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SEU025+1 : TPTP v8.1.0. Released v3.2.0.
% 0.02/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n004.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 16:01:53 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.17/2.55 *** allocated 10000 integers for termspace/termends
% 2.17/2.55 *** allocated 10000 integers for clauses
% 2.17/2.55 *** allocated 10000 integers for justifications
% 2.17/2.55 Bliksem 1.12
% 2.17/2.55
% 2.17/2.55
% 2.17/2.55 Automatic Strategy Selection
% 2.17/2.55
% 2.17/2.55
% 2.17/2.55 Clauses:
% 2.17/2.55
% 2.17/2.55 { ! in( X, Y ), ! in( Y, X ) }.
% 2.17/2.55 { ! empty( X ), function( X ) }.
% 2.17/2.55 { ! empty( X ), relation( X ) }.
% 2.17/2.55 { ! relation( X ), ! empty( X ), ! function( X ), relation( X ) }.
% 2.17/2.55 { ! relation( X ), ! empty( X ), ! function( X ), function( X ) }.
% 2.17/2.55 { ! relation( X ), ! empty( X ), ! function( X ), one_to_one( X ) }.
% 2.17/2.55 { ! relation( X ), ! function( X ), relation( function_inverse( X ) ) }.
% 2.17/2.55 { ! relation( X ), ! function( X ), function( function_inverse( X ) ) }.
% 2.17/2.55 { ! relation( X ), ! relation( Y ), relation( relation_composition( X, Y )
% 2.17/2.55 ) }.
% 2.17/2.55 { element( skol1( X ), X ) }.
% 2.17/2.55 { ! empty( X ), ! relation( Y ), empty( relation_composition( Y, X ) ) }.
% 2.17/2.55 { ! empty( X ), ! relation( Y ), relation( relation_composition( Y, X ) ) }
% 2.17/2.55 .
% 2.17/2.55 { empty( empty_set ) }.
% 2.17/2.55 { relation( empty_set ) }.
% 2.17/2.55 { relation_empty_yielding( empty_set ) }.
% 2.17/2.55 { ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y ),
% 2.17/2.55 relation( relation_composition( X, Y ) ) }.
% 2.17/2.55 { ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y ),
% 2.17/2.55 function( relation_composition( X, Y ) ) }.
% 2.17/2.55 { ! empty( powerset( X ) ) }.
% 2.17/2.55 { empty( empty_set ) }.
% 2.17/2.55 { empty( empty_set ) }.
% 2.17/2.55 { relation( empty_set ) }.
% 2.17/2.55 { empty( X ), ! relation( X ), ! empty( relation_dom( X ) ) }.
% 2.17/2.55 { empty( X ), ! relation( X ), ! empty( relation_rng( X ) ) }.
% 2.17/2.55 { ! empty( X ), empty( relation_dom( X ) ) }.
% 2.17/2.55 { ! empty( X ), relation( relation_dom( X ) ) }.
% 2.17/2.55 { ! empty( X ), empty( relation_rng( X ) ) }.
% 2.17/2.55 { ! empty( X ), relation( relation_rng( X ) ) }.
% 2.17/2.55 { ! empty( X ), ! relation( Y ), empty( relation_composition( X, Y ) ) }.
% 2.17/2.55 { ! empty( X ), ! relation( Y ), relation( relation_composition( X, Y ) ) }
% 2.17/2.55 .
% 2.17/2.55 { relation( skol2 ) }.
% 2.17/2.55 { function( skol2 ) }.
% 2.17/2.55 { empty( skol3 ) }.
% 2.17/2.55 { relation( skol3 ) }.
% 2.17/2.55 { empty( X ), ! empty( skol4( Y ) ) }.
% 2.17/2.55 { empty( X ), element( skol4( X ), powerset( X ) ) }.
% 2.17/2.55 { empty( skol5 ) }.
% 2.17/2.55 { relation( skol6 ) }.
% 2.17/2.55 { empty( skol6 ) }.
% 2.17/2.55 { function( skol6 ) }.
% 2.17/2.55 { ! empty( skol7 ) }.
% 2.17/2.55 { relation( skol7 ) }.
% 2.17/2.55 { empty( skol8( Y ) ) }.
% 2.17/2.55 { element( skol8( X ), powerset( X ) ) }.
% 2.17/2.55 { ! empty( skol9 ) }.
% 2.17/2.55 { relation( skol10 ) }.
% 2.17/2.55 { function( skol10 ) }.
% 2.17/2.55 { one_to_one( skol10 ) }.
% 2.17/2.55 { relation( skol11 ) }.
% 2.17/2.55 { relation_empty_yielding( skol11 ) }.
% 2.17/2.55 { subset( X, X ) }.
% 2.17/2.55 { ! in( X, Y ), element( X, Y ) }.
% 2.17/2.55 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 2.17/2.55 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 2.17/2.55 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 2.17/2.55 { ! relation( X ), ! relation( Y ), ! subset( relation_rng( X ),
% 2.17/2.55 relation_dom( Y ) ), relation_dom( relation_composition( X, Y ) ) =
% 2.17/2.55 relation_dom( X ) }.
% 2.17/2.55 { ! relation( X ), ! relation( Y ), ! subset( relation_dom( X ),
% 2.17/2.55 relation_rng( Y ) ), relation_rng( relation_composition( Y, X ) ) =
% 2.17/2.55 relation_rng( X ) }.
% 2.17/2.55 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 2.17/2.55 { ! relation( X ), ! function( X ), ! one_to_one( X ), relation_rng( X ) =
% 2.17/2.55 relation_dom( function_inverse( X ) ) }.
% 2.17/2.55 { ! relation( X ), ! function( X ), ! one_to_one( X ), relation_dom( X ) =
% 2.17/2.55 relation_rng( function_inverse( X ) ) }.
% 2.17/2.55 { relation( skol12 ) }.
% 2.17/2.55 { function( skol12 ) }.
% 2.17/2.55 { one_to_one( skol12 ) }.
% 2.17/2.55 { ! relation_dom( relation_composition( skol12, function_inverse( skol12 )
% 2.17/2.55 ) ) = relation_dom( skol12 ), ! relation_rng( relation_composition(
% 2.17/2.55 skol12, function_inverse( skol12 ) ) ) = relation_dom( skol12 ) }.
% 2.17/2.55 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 2.17/2.55 { ! empty( X ), X = empty_set }.
% 2.17/2.55 { ! in( X, Y ), ! empty( Y ) }.
% 2.17/2.55 { ! empty( X ), X = Y, ! empty( Y ) }.
% 2.17/2.55
% 2.17/2.55 percentage equality = 0.066116, percentage horn = 0.967213
% 2.17/2.55 This is a problem with some equality
% 2.17/2.55
% 2.17/2.55
% 2.17/2.55
% 2.17/2.55 Options Used:
% 2.17/2.55
% 2.17/2.55 useres = 1
% 2.17/2.55 useparamod = 1
% 2.17/2.55 useeqrefl = 1
% 2.17/2.55 useeqfact = 1
% 2.17/2.55 usefactor = 1
% 2.17/2.55 usesimpsplitting = 0
% 2.17/2.55 usesimpdemod = 5
% 2.17/2.55 usesimpres = 3
% 2.17/2.55
% 2.17/2.55 resimpinuse = 1000
% 2.17/2.55 resimpclauses = 20000
% 2.17/2.55 substype = eqrewr
% 2.17/2.55 backwardsubs = 1
% 2.17/2.55 selectoldest = 5
% 2.17/2.55
% 2.17/2.55 litorderings [0] = split
% 2.17/2.55 litorderings [1] = extend the termordering, first sorting on arguments
% 13.84/14.22
% 13.84/14.22 termordering = kbo
% 13.84/14.22
% 13.84/14.22 litapriori = 0
% 13.84/14.22 termapriori = 1
% 13.84/14.22 litaposteriori = 0
% 13.84/14.22 termaposteriori = 0
% 13.84/14.22 demodaposteriori = 0
% 13.84/14.22 ordereqreflfact = 0
% 13.84/14.22
% 13.84/14.22 litselect = negord
% 13.84/14.22
% 13.84/14.22 maxweight = 15
% 13.84/14.22 maxdepth = 30000
% 13.84/14.22 maxlength = 115
% 13.84/14.22 maxnrvars = 195
% 13.84/14.22 excuselevel = 1
% 13.84/14.22 increasemaxweight = 1
% 13.84/14.22
% 13.84/14.22 maxselected = 10000000
% 13.84/14.22 maxnrclauses = 10000000
% 13.84/14.22
% 13.84/14.22 showgenerated = 0
% 13.84/14.22 showkept = 0
% 13.84/14.22 showselected = 0
% 13.84/14.22 showdeleted = 0
% 13.84/14.22 showresimp = 1
% 13.84/14.22 showstatus = 2000
% 13.84/14.22
% 13.84/14.22 prologoutput = 0
% 13.84/14.22 nrgoals = 5000000
% 13.84/14.22 totalproof = 1
% 13.84/14.22
% 13.84/14.22 Symbols occurring in the translation:
% 13.84/14.22
% 13.84/14.22 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 13.84/14.22 . [1, 2] (w:1, o:36, a:1, s:1, b:0),
% 13.84/14.22 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 13.84/14.22 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 13.84/14.22 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 13.84/14.22 in [37, 2] (w:1, o:60, a:1, s:1, b:0),
% 13.84/14.22 empty [38, 1] (w:1, o:24, a:1, s:1, b:0),
% 13.84/14.22 function [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 13.84/14.22 relation [40, 1] (w:1, o:26, a:1, s:1, b:0),
% 13.84/14.22 one_to_one [41, 1] (w:1, o:27, a:1, s:1, b:0),
% 13.84/14.22 function_inverse [42, 1] (w:1, o:28, a:1, s:1, b:0),
% 13.84/14.22 relation_composition [43, 2] (w:1, o:61, a:1, s:1, b:0),
% 13.84/14.22 element [44, 2] (w:1, o:62, a:1, s:1, b:0),
% 13.84/14.22 empty_set [45, 0] (w:1, o:8, a:1, s:1, b:0),
% 13.84/14.22 relation_empty_yielding [46, 1] (w:1, o:30, a:1, s:1, b:0),
% 13.84/14.22 powerset [47, 1] (w:1, o:31, a:1, s:1, b:0),
% 13.84/14.22 relation_dom [48, 1] (w:1, o:29, a:1, s:1, b:0),
% 13.84/14.22 relation_rng [49, 1] (w:1, o:32, a:1, s:1, b:0),
% 13.84/14.22 subset [50, 2] (w:1, o:63, a:1, s:1, b:0),
% 13.84/14.22 skol1 [52, 1] (w:1, o:33, a:1, s:1, b:1),
% 13.84/14.22 skol2 [53, 0] (w:1, o:13, a:1, s:1, b:1),
% 13.84/14.22 skol3 [54, 0] (w:1, o:14, a:1, s:1, b:1),
% 13.84/14.22 skol4 [55, 1] (w:1, o:34, a:1, s:1, b:1),
% 13.84/14.22 skol5 [56, 0] (w:1, o:15, a:1, s:1, b:1),
% 13.84/14.22 skol6 [57, 0] (w:1, o:16, a:1, s:1, b:1),
% 13.84/14.22 skol7 [58, 0] (w:1, o:17, a:1, s:1, b:1),
% 13.84/14.22 skol8 [59, 1] (w:1, o:35, a:1, s:1, b:1),
% 13.84/14.22 skol9 [60, 0] (w:1, o:18, a:1, s:1, b:1),
% 13.84/14.22 skol10 [61, 0] (w:1, o:10, a:1, s:1, b:1),
% 13.84/14.22 skol11 [62, 0] (w:1, o:11, a:1, s:1, b:1),
% 13.84/14.22 skol12 [63, 0] (w:1, o:12, a:1, s:1, b:1).
% 13.84/14.22
% 13.84/14.22
% 13.84/14.22 Starting Search:
% 13.84/14.22
% 13.84/14.22 *** allocated 15000 integers for clauses
% 13.84/14.22 *** allocated 22500 integers for clauses
% 13.84/14.22 *** allocated 33750 integers for clauses
% 13.84/14.22 *** allocated 50625 integers for clauses
% 13.84/14.22 *** allocated 15000 integers for termspace/termends
% 13.84/14.22 *** allocated 75937 integers for clauses
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 *** allocated 22500 integers for termspace/termends
% 13.84/14.22 *** allocated 113905 integers for clauses
% 13.84/14.22 *** allocated 33750 integers for termspace/termends
% 13.84/14.22
% 13.84/14.22 Intermediate Status:
% 13.84/14.22 Generated: 5240
% 13.84/14.22 Kept: 2054
% 13.84/14.22 Inuse: 217
% 13.84/14.22 Deleted: 40
% 13.84/14.22 Deletedinuse: 1
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 *** allocated 170857 integers for clauses
% 13.84/14.22 *** allocated 50625 integers for termspace/termends
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 *** allocated 256285 integers for clauses
% 13.84/14.22
% 13.84/14.22 Intermediate Status:
% 13.84/14.22 Generated: 8993
% 13.84/14.22 Kept: 4086
% 13.84/14.22 Inuse: 287
% 13.84/14.22 Deleted: 168
% 13.84/14.22 Deletedinuse: 110
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 *** allocated 75937 integers for termspace/termends
% 13.84/14.22 *** allocated 384427 integers for clauses
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22
% 13.84/14.22 Intermediate Status:
% 13.84/14.22 Generated: 12431
% 13.84/14.22 Kept: 6105
% 13.84/14.22 Inuse: 326
% 13.84/14.22 Deleted: 176
% 13.84/14.22 Deletedinuse: 118
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 *** allocated 113905 integers for termspace/termends
% 13.84/14.22 *** allocated 576640 integers for clauses
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22
% 13.84/14.22 Intermediate Status:
% 13.84/14.22 Generated: 16834
% 13.84/14.22 Kept: 8110
% 13.84/14.22 Inuse: 362
% 13.84/14.22 Deleted: 182
% 13.84/14.22 Deletedinuse: 118
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 *** allocated 170857 integers for termspace/termends
% 13.84/14.22
% 13.84/14.22 Intermediate Status:
% 13.84/14.22 Generated: 21752
% 13.84/14.22 Kept: 10117
% 13.84/14.22 Inuse: 440
% 13.84/14.22 Deleted: 367
% 13.84/14.22 Deletedinuse: 150
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 *** allocated 864960 integers for clauses
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22
% 13.84/14.22 Intermediate Status:
% 13.84/14.22 Generated: 27456
% 13.84/14.22 Kept: 12120
% 13.84/14.22 Inuse: 524
% 13.84/14.22 Deleted: 496
% 13.84/14.22 Deletedinuse: 180
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22
% 13.84/14.22 Intermediate Status:
% 13.84/14.22 Generated: 33378
% 13.84/14.22 Kept: 14140
% 13.84/14.22 Inuse: 585
% 13.84/14.22 Deleted: 521
% 13.84/14.22 Deletedinuse: 180
% 13.84/14.22
% 13.84/14.22 *** allocated 256285 integers for termspace/termends
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22
% 13.84/14.22 Intermediate Status:
% 13.84/14.22 Generated: 38101
% 13.84/14.22 Kept: 16173
% 13.84/14.22 Inuse: 625
% 13.84/14.22 Deleted: 542
% 13.84/14.22 Deletedinuse: 180
% 13.84/14.22
% 13.84/14.22 *** allocated 1297440 integers for clauses
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22
% 13.84/14.22 Intermediate Status:
% 13.84/14.22 Generated: 42082
% 13.84/14.22 Kept: 18193
% 13.84/14.22 Inuse: 653
% 13.84/14.22 Deleted: 546
% 13.84/14.22 Deletedinuse: 180
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 Resimplifying clauses:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22
% 13.84/14.22 Intermediate Status:
% 13.84/14.22 Generated: 49256
% 13.84/14.22 Kept: 20263
% 13.84/14.22 Inuse: 683
% 13.84/14.22 Deleted: 4126
% 13.84/14.22 Deletedinuse: 180
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 *** allocated 384427 integers for termspace/termends
% 13.84/14.22
% 13.84/14.22 Intermediate Status:
% 13.84/14.22 Generated: 55917
% 13.84/14.22 Kept: 22297
% 13.84/14.22 Inuse: 720
% 13.84/14.22 Deleted: 4187
% 13.84/14.22 Deletedinuse: 218
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22
% 13.84/14.22 Intermediate Status:
% 13.84/14.22 Generated: 61174
% 13.84/14.22 Kept: 24358
% 13.84/14.22 Inuse: 777
% 13.84/14.22 Deleted: 4241
% 13.84/14.22 Deletedinuse: 244
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 *** allocated 1946160 integers for clauses
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22
% 13.84/14.22 Intermediate Status:
% 13.84/14.22 Generated: 66121
% 13.84/14.22 Kept: 26404
% 13.84/14.22 Inuse: 813
% 13.84/14.22 Deleted: 4303
% 13.84/14.22 Deletedinuse: 278
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22
% 13.84/14.22 Intermediate Status:
% 13.84/14.22 Generated: 71601
% 13.84/14.22 Kept: 28411
% 13.84/14.22 Inuse: 844
% 13.84/14.22 Deleted: 4313
% 13.84/14.22 Deletedinuse: 282
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22
% 13.84/14.22 Intermediate Status:
% 13.84/14.22 Generated: 77484
% 13.84/14.22 Kept: 30449
% 13.84/14.22 Inuse: 882
% 13.84/14.22 Deleted: 4315
% 13.84/14.22 Deletedinuse: 282
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 *** allocated 576640 integers for termspace/termends
% 13.84/14.22
% 13.84/14.22 Intermediate Status:
% 13.84/14.22 Generated: 83041
% 13.84/14.22 Kept: 32484
% 13.84/14.22 Inuse: 915
% 13.84/14.22 Deleted: 4319
% 13.84/14.22 Deletedinuse: 284
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22
% 13.84/14.22 Intermediate Status:
% 13.84/14.22 Generated: 88262
% 13.84/14.22 Kept: 34484
% 13.84/14.22 Inuse: 945
% 13.84/14.22 Deleted: 4321
% 13.84/14.22 Deletedinuse: 286
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22
% 13.84/14.22 Intermediate Status:
% 13.84/14.22 Generated: 94842
% 13.84/14.22 Kept: 36505
% 13.84/14.22 Inuse: 982
% 13.84/14.22 Deleted: 4325
% 13.84/14.22 Deletedinuse: 286
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 *** allocated 2919240 integers for clauses
% 13.84/14.22
% 13.84/14.22 Intermediate Status:
% 13.84/14.22 Generated: 101231
% 13.84/14.22 Kept: 38525
% 13.84/14.22 Inuse: 1017
% 13.84/14.22 Deleted: 4329
% 13.84/14.22 Deletedinuse: 286
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 Resimplifying inuse:
% 13.84/14.22 Done
% 13.84/14.22
% 13.84/14.22 Resimplifying clauses:
% 13.84/14.22
% 13.84/14.22 Bliksems!, er is een bewijs:
% 13.84/14.22 % SZS status Theorem
% 13.84/14.22 % SZS output start Refutation
% 13.84/14.22
% 13.84/14.22 (4) {G0,W7,D3,L3,V1,M3} I { ! relation( X ), ! function( X ), relation(
% 13.84/14.22 function_inverse( X ) ) }.
% 13.84/14.22 (43) {G0,W3,D2,L1,V1,M1} I { subset( X, X ) }.
% 13.84/14.22 (48) {G0,W16,D4,L4,V2,M4} I { ! relation( X ), ! relation( Y ), ! subset(
% 13.84/14.22 relation_rng( X ), relation_dom( Y ) ), relation_dom(
% 13.84/14.22 relation_composition( X, Y ) ) ==> relation_dom( X ) }.
% 13.84/14.22 (49) {G0,W16,D4,L4,V2,M4} I { ! relation( X ), ! relation( Y ), ! subset(
% 13.84/14.22 relation_dom( X ), relation_rng( Y ) ), relation_rng(
% 13.84/14.22 relation_composition( Y, X ) ) ==> relation_rng( X ) }.
% 13.84/14.22 (51) {G0,W12,D4,L4,V1,M4} I { ! relation( X ), ! function( X ), !
% 13.84/14.22 one_to_one( X ), relation_dom( function_inverse( X ) ) ==> relation_rng(
% 13.84/14.22 X ) }.
% 13.84/14.22 (52) {G0,W12,D4,L4,V1,M4} I { ! relation( X ), ! function( X ), !
% 13.84/14.22 one_to_one( X ), relation_rng( function_inverse( X ) ) ==> relation_dom(
% 13.84/14.22 X ) }.
% 13.84/14.22 (53) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 13.84/14.22 (54) {G0,W2,D2,L1,V0,M1} I { function( skol12 ) }.
% 13.84/14.22 (55) {G0,W2,D2,L1,V0,M1} I { one_to_one( skol12 ) }.
% 13.84/14.22 (56) {G0,W16,D5,L2,V0,M2} I { ! relation_dom( relation_composition( skol12
% 13.84/14.22 , function_inverse( skol12 ) ) ) ==> relation_dom( skol12 ), !
% 13.84/14.22 relation_rng( relation_composition( skol12, function_inverse( skol12 ) )
% 13.84/14.22 ) ==> relation_dom( skol12 ) }.
% 13.84/14.22 (79) {G1,W3,D3,L1,V0,M1} R(4,53);r(54) { relation( function_inverse( skol12
% 13.84/14.22 ) ) }.
% 13.84/14.22 (854) {G1,W20,D5,L5,V2,M5} R(48,4) { ! relation( X ), ! subset(
% 13.84/14.22 relation_rng( X ), relation_dom( function_inverse( Y ) ) ), relation_dom
% 13.84/14.22 ( relation_composition( X, function_inverse( Y ) ) ) ==> relation_dom( X
% 13.84/14.22 ), ! relation( Y ), ! function( Y ) }.
% 13.84/14.22 (1055) {G1,W8,D4,L2,V0,M2} R(51,53);r(54) { ! one_to_one( skol12 ),
% 13.84/14.22 relation_dom( function_inverse( skol12 ) ) ==> relation_rng( skol12 ) }.
% 13.84/14.22 (1150) {G1,W8,D4,L2,V0,M2} R(52,53);r(54) { ! one_to_one( skol12 ),
% 13.84/14.22 relation_rng( function_inverse( skol12 ) ) ==> relation_dom( skol12 ) }.
% 13.84/14.22 (20075) {G2,W6,D4,L1,V0,M1} S(1150);r(55) { relation_rng( function_inverse
% 13.84/14.22 ( skol12 ) ) ==> relation_dom( skol12 ) }.
% 13.84/14.22 (20084) {G2,W6,D4,L1,V0,M1} S(1055);r(55) { relation_dom( function_inverse
% 13.84/14.22 ( skol12 ) ) ==> relation_rng( skol12 ) }.
% 13.84/14.22 (21250) {G3,W15,D5,L3,V1,M3} P(20084,49);d(20075);r(79) { ! relation( X ),
% 13.84/14.22 ! subset( relation_rng( skol12 ), relation_rng( X ) ), relation_rng(
% 13.84/14.22 relation_composition( X, function_inverse( skol12 ) ) ) ==> relation_dom
% 13.84/14.22 ( skol12 ) }.
% 13.84/14.22 (39571) {G4,W7,D3,L2,V0,M2} R(854,56);f;d(20084);d(21250);q;r(53) { !
% 13.84/14.22 function( skol12 ), ! subset( relation_rng( skol12 ), relation_rng(
% 13.84/14.22 skol12 ) ) }.
% 13.84/14.22 (40146) {G5,W0,D0,L0,V0,M0} S(39571);r(54);r(43) { }.
% 13.84/14.22
% 13.84/14.22
% 13.84/14.22 % SZS output end Refutation
% 13.84/14.22 found a proof!
% 13.84/14.22
% 13.84/14.22
% 13.84/14.22 Unprocessed initial clauses:
% 13.84/14.22
% 13.84/14.22 (40148) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 13.84/14.22 (40149) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 13.84/14.22 (40150) {G0,W4,D2,L2,V1,M2} { ! empty( X ), relation( X ) }.
% 13.84/14.22 (40151) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 13.84/14.22 ), relation( X ) }.
% 13.84/14.22 (40152) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 13.84/14.22 ), function( X ) }.
% 13.84/14.22 (40153) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 13.84/14.22 ), one_to_one( X ) }.
% 13.84/14.22 (40154) {G0,W7,D3,L3,V1,M3} { ! relation( X ), ! function( X ), relation(
% 13.84/14.22 function_inverse( X ) ) }.
% 13.84/14.22 (40155) {G0,W7,D3,L3,V1,M3} { ! relation( X ), ! function( X ), function(
% 13.84/14.22 function_inverse( X ) ) }.
% 13.84/14.22 (40156) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! relation( Y ), relation(
% 13.84/14.22 relation_composition( X, Y ) ) }.
% 13.84/14.22 (40157) {G0,W4,D3,L1,V1,M1} { element( skol1( X ), X ) }.
% 13.84/14.22 (40158) {G0,W8,D3,L3,V2,M3} { ! empty( X ), ! relation( Y ), empty(
% 13.84/14.22 relation_composition( Y, X ) ) }.
% 13.84/14.22 (40159) {G0,W8,D3,L3,V2,M3} { ! empty( X ), ! relation( Y ), relation(
% 13.84/14.22 relation_composition( Y, X ) ) }.
% 13.84/14.22 (40160) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 13.84/14.22 (40161) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 13.84/14.22 (40162) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 13.84/14.22 (40163) {G0,W12,D3,L5,V2,M5} { ! relation( X ), ! function( X ), !
% 13.84/14.22 relation( Y ), ! function( Y ), relation( relation_composition( X, Y ) )
% 13.84/14.22 }.
% 13.84/14.22 (40164) {G0,W12,D3,L5,V2,M5} { ! relation( X ), ! function( X ), !
% 13.84/14.22 relation( Y ), ! function( Y ), function( relation_composition( X, Y ) )
% 13.84/14.22 }.
% 13.84/14.22 (40165) {G0,W3,D3,L1,V1,M1} { ! empty( powerset( X ) ) }.
% 13.84/14.22 (40166) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 13.84/14.22 (40167) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 13.84/14.22 (40168) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 13.84/14.22 (40169) {G0,W7,D3,L3,V1,M3} { empty( X ), ! relation( X ), ! empty(
% 13.84/14.22 relation_dom( X ) ) }.
% 13.84/14.22 (40170) {G0,W7,D3,L3,V1,M3} { empty( X ), ! relation( X ), ! empty(
% 13.84/14.22 relation_rng( X ) ) }.
% 13.84/14.22 (40171) {G0,W5,D3,L2,V1,M2} { ! empty( X ), empty( relation_dom( X ) ) }.
% 13.84/14.22 (40172) {G0,W5,D3,L2,V1,M2} { ! empty( X ), relation( relation_dom( X ) )
% 13.84/14.22 }.
% 13.84/14.22 (40173) {G0,W5,D3,L2,V1,M2} { ! empty( X ), empty( relation_rng( X ) ) }.
% 13.84/14.22 (40174) {G0,W5,D3,L2,V1,M2} { ! empty( X ), relation( relation_rng( X ) )
% 13.84/14.22 }.
% 13.84/14.22 (40175) {G0,W8,D3,L3,V2,M3} { ! empty( X ), ! relation( Y ), empty(
% 13.84/14.22 relation_composition( X, Y ) ) }.
% 13.84/14.22 (40176) {G0,W8,D3,L3,V2,M3} { ! empty( X ), ! relation( Y ), relation(
% 13.84/14.22 relation_composition( X, Y ) ) }.
% 13.84/14.22 (40177) {G0,W2,D2,L1,V0,M1} { relation( skol2 ) }.
% 13.84/14.22 (40178) {G0,W2,D2,L1,V0,M1} { function( skol2 ) }.
% 13.84/14.22 (40179) {G0,W2,D2,L1,V0,M1} { empty( skol3 ) }.
% 13.84/14.22 (40180) {G0,W2,D2,L1,V0,M1} { relation( skol3 ) }.
% 13.84/14.22 (40181) {G0,W5,D3,L2,V2,M2} { empty( X ), ! empty( skol4( Y ) ) }.
% 13.84/14.22 (40182) {G0,W7,D3,L2,V1,M2} { empty( X ), element( skol4( X ), powerset( X
% 13.84/14.22 ) ) }.
% 13.84/14.22 (40183) {G0,W2,D2,L1,V0,M1} { empty( skol5 ) }.
% 13.84/14.22 (40184) {G0,W2,D2,L1,V0,M1} { relation( skol6 ) }.
% 13.84/14.22 (40185) {G0,W2,D2,L1,V0,M1} { empty( skol6 ) }.
% 13.84/14.22 (40186) {G0,W2,D2,L1,V0,M1} { function( skol6 ) }.
% 13.84/14.22 (40187) {G0,W2,D2,L1,V0,M1} { ! empty( skol7 ) }.
% 13.84/14.22 (40188) {G0,W2,D2,L1,V0,M1} { relation( skol7 ) }.
% 13.84/14.22 (40189) {G0,W3,D3,L1,V1,M1} { empty( skol8( Y ) ) }.
% 13.84/14.22 (40190) {G0,W5,D3,L1,V1,M1} { element( skol8( X ), powerset( X ) ) }.
% 13.84/14.22 (40191) {G0,W2,D2,L1,V0,M1} { ! empty( skol9 ) }.
% 13.84/14.22 (40192) {G0,W2,D2,L1,V0,M1} { relation( skol10 ) }.
% 13.84/14.22 (40193) {G0,W2,D2,L1,V0,M1} { function( skol10 ) }.
% 13.84/14.22 (40194) {G0,W2,D2,L1,V0,M1} { one_to_one( skol10 ) }.
% 13.84/14.22 (40195) {G0,W2,D2,L1,V0,M1} { relation( skol11 ) }.
% 13.84/14.22 (40196) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol11 ) }.
% 13.84/14.22 (40197) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 13.84/14.22 (40198) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 13.84/14.22 (40199) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 13.84/14.22 }.
% 13.84/14.22 (40200) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y
% 13.84/14.22 ) }.
% 13.84/14.22 (40201) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y )
% 13.84/14.22 ) }.
% 13.84/14.22 (40202) {G0,W16,D4,L4,V2,M4} { ! relation( X ), ! relation( Y ), ! subset
% 13.84/14.22 ( relation_rng( X ), relation_dom( Y ) ), relation_dom(
% 13.84/14.22 relation_composition( X, Y ) ) = relation_dom( X ) }.
% 13.84/14.22 (40203) {G0,W16,D4,L4,V2,M4} { ! relation( X ), ! relation( Y ), ! subset
% 13.84/14.22 ( relation_dom( X ), relation_rng( Y ) ), relation_rng(
% 13.84/14.22 relation_composition( Y, X ) ) = relation_rng( X ) }.
% 13.84/14.22 (40204) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y ) )
% 13.84/14.22 , element( X, Y ) }.
% 13.84/14.22 (40205) {G0,W12,D4,L4,V1,M4} { ! relation( X ), ! function( X ), !
% 13.84/14.22 one_to_one( X ), relation_rng( X ) = relation_dom( function_inverse( X )
% 13.84/14.22 ) }.
% 13.84/14.22 (40206) {G0,W12,D4,L4,V1,M4} { ! relation( X ), ! function( X ), !
% 13.84/14.22 one_to_one( X ), relation_dom( X ) = relation_rng( function_inverse( X )
% 13.84/14.22 ) }.
% 13.84/14.22 (40207) {G0,W2,D2,L1,V0,M1} { relation( skol12 ) }.
% 13.84/14.22 (40208) {G0,W2,D2,L1,V0,M1} { function( skol12 ) }.
% 13.84/14.22 (40209) {G0,W2,D2,L1,V0,M1} { one_to_one( skol12 ) }.
% 13.84/14.22 (40210) {G0,W16,D5,L2,V0,M2} { ! relation_dom( relation_composition(
% 13.84/14.22 skol12, function_inverse( skol12 ) ) ) = relation_dom( skol12 ), !
% 13.84/14.22 relation_rng( relation_composition( skol12, function_inverse( skol12 ) )
% 13.84/14.22 ) = relation_dom( skol12 ) }.
% 13.84/14.22 (40211) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) )
% 13.84/14.22 , ! empty( Z ) }.
% 13.84/14.22 (40212) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 13.84/14.22 (40213) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 13.84/14.22 (40214) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 13.84/14.22
% 13.84/14.22
% 13.84/14.22 Total Proof:
% 13.84/14.22
% 13.84/14.22 subsumption: (4) {G0,W7,D3,L3,V1,M3} I { ! relation( X ), ! function( X ),
% 13.84/14.22 relation( function_inverse( X ) ) }.
% 13.84/14.22 parent0: (40154) {G0,W7,D3,L3,V1,M3} { ! relation( X ), ! function( X ),
% 13.84/14.22 relation( function_inverse( X ) ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := X
% 13.84/14.22 end
% 13.84/14.22 permutation0:
% 13.84/14.22 0 ==> 0
% 13.84/14.22 1 ==> 1
% 13.84/14.22 2 ==> 2
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 subsumption: (43) {G0,W3,D2,L1,V1,M1} I { subset( X, X ) }.
% 13.84/14.22 parent0: (40197) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := X
% 13.84/14.22 end
% 13.84/14.22 permutation0:
% 13.84/14.22 0 ==> 0
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 subsumption: (48) {G0,W16,D4,L4,V2,M4} I { ! relation( X ), ! relation( Y )
% 13.84/14.22 , ! subset( relation_rng( X ), relation_dom( Y ) ), relation_dom(
% 13.84/14.22 relation_composition( X, Y ) ) ==> relation_dom( X ) }.
% 13.84/14.22 parent0: (40202) {G0,W16,D4,L4,V2,M4} { ! relation( X ), ! relation( Y ),
% 13.84/14.22 ! subset( relation_rng( X ), relation_dom( Y ) ), relation_dom(
% 13.84/14.22 relation_composition( X, Y ) ) = relation_dom( X ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := X
% 13.84/14.22 Y := Y
% 13.84/14.22 end
% 13.84/14.22 permutation0:
% 13.84/14.22 0 ==> 0
% 13.84/14.22 1 ==> 1
% 13.84/14.22 2 ==> 2
% 13.84/14.22 3 ==> 3
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 subsumption: (49) {G0,W16,D4,L4,V2,M4} I { ! relation( X ), ! relation( Y )
% 13.84/14.22 , ! subset( relation_dom( X ), relation_rng( Y ) ), relation_rng(
% 13.84/14.22 relation_composition( Y, X ) ) ==> relation_rng( X ) }.
% 13.84/14.22 parent0: (40203) {G0,W16,D4,L4,V2,M4} { ! relation( X ), ! relation( Y ),
% 13.84/14.22 ! subset( relation_dom( X ), relation_rng( Y ) ), relation_rng(
% 13.84/14.22 relation_composition( Y, X ) ) = relation_rng( X ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := X
% 13.84/14.22 Y := Y
% 13.84/14.22 end
% 13.84/14.22 permutation0:
% 13.84/14.22 0 ==> 0
% 13.84/14.22 1 ==> 1
% 13.84/14.22 2 ==> 2
% 13.84/14.22 3 ==> 3
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 eqswap: (40255) {G0,W12,D4,L4,V1,M4} { relation_dom( function_inverse( X )
% 13.84/14.22 ) = relation_rng( X ), ! relation( X ), ! function( X ), ! one_to_one( X
% 13.84/14.22 ) }.
% 13.84/14.22 parent0[3]: (40205) {G0,W12,D4,L4,V1,M4} { ! relation( X ), ! function( X
% 13.84/14.22 ), ! one_to_one( X ), relation_rng( X ) = relation_dom( function_inverse
% 13.84/14.22 ( X ) ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := X
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 subsumption: (51) {G0,W12,D4,L4,V1,M4} I { ! relation( X ), ! function( X )
% 13.84/14.22 , ! one_to_one( X ), relation_dom( function_inverse( X ) ) ==>
% 13.84/14.22 relation_rng( X ) }.
% 13.84/14.22 parent0: (40255) {G0,W12,D4,L4,V1,M4} { relation_dom( function_inverse( X
% 13.84/14.22 ) ) = relation_rng( X ), ! relation( X ), ! function( X ), ! one_to_one
% 13.84/14.22 ( X ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := X
% 13.84/14.22 end
% 13.84/14.22 permutation0:
% 13.84/14.22 0 ==> 3
% 13.84/14.22 1 ==> 0
% 13.84/14.22 2 ==> 1
% 13.84/14.22 3 ==> 2
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 eqswap: (40269) {G0,W12,D4,L4,V1,M4} { relation_rng( function_inverse( X )
% 13.84/14.22 ) = relation_dom( X ), ! relation( X ), ! function( X ), ! one_to_one( X
% 13.84/14.22 ) }.
% 13.84/14.22 parent0[3]: (40206) {G0,W12,D4,L4,V1,M4} { ! relation( X ), ! function( X
% 13.84/14.22 ), ! one_to_one( X ), relation_dom( X ) = relation_rng( function_inverse
% 13.84/14.22 ( X ) ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := X
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 subsumption: (52) {G0,W12,D4,L4,V1,M4} I { ! relation( X ), ! function( X )
% 13.84/14.22 , ! one_to_one( X ), relation_rng( function_inverse( X ) ) ==>
% 13.84/14.22 relation_dom( X ) }.
% 13.84/14.22 parent0: (40269) {G0,W12,D4,L4,V1,M4} { relation_rng( function_inverse( X
% 13.84/14.22 ) ) = relation_dom( X ), ! relation( X ), ! function( X ), ! one_to_one
% 13.84/14.22 ( X ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := X
% 13.84/14.22 end
% 13.84/14.22 permutation0:
% 13.84/14.22 0 ==> 3
% 13.84/14.22 1 ==> 0
% 13.84/14.22 2 ==> 1
% 13.84/14.22 3 ==> 2
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 subsumption: (53) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 13.84/14.22 parent0: (40207) {G0,W2,D2,L1,V0,M1} { relation( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 permutation0:
% 13.84/14.22 0 ==> 0
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 subsumption: (54) {G0,W2,D2,L1,V0,M1} I { function( skol12 ) }.
% 13.84/14.22 parent0: (40208) {G0,W2,D2,L1,V0,M1} { function( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 permutation0:
% 13.84/14.22 0 ==> 0
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 subsumption: (55) {G0,W2,D2,L1,V0,M1} I { one_to_one( skol12 ) }.
% 13.84/14.22 parent0: (40209) {G0,W2,D2,L1,V0,M1} { one_to_one( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 permutation0:
% 13.84/14.22 0 ==> 0
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 subsumption: (56) {G0,W16,D5,L2,V0,M2} I { ! relation_dom(
% 13.84/14.22 relation_composition( skol12, function_inverse( skol12 ) ) ) ==>
% 13.84/14.22 relation_dom( skol12 ), ! relation_rng( relation_composition( skol12,
% 13.84/14.22 function_inverse( skol12 ) ) ) ==> relation_dom( skol12 ) }.
% 13.84/14.22 parent0: (40210) {G0,W16,D5,L2,V0,M2} { ! relation_dom(
% 13.84/14.22 relation_composition( skol12, function_inverse( skol12 ) ) ) =
% 13.84/14.22 relation_dom( skol12 ), ! relation_rng( relation_composition( skol12,
% 13.84/14.22 function_inverse( skol12 ) ) ) = relation_dom( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 permutation0:
% 13.84/14.22 0 ==> 0
% 13.84/14.22 1 ==> 1
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 resolution: (40329) {G1,W5,D3,L2,V0,M2} { ! function( skol12 ), relation(
% 13.84/14.22 function_inverse( skol12 ) ) }.
% 13.84/14.22 parent0[0]: (4) {G0,W7,D3,L3,V1,M3} I { ! relation( X ), ! function( X ),
% 13.84/14.22 relation( function_inverse( X ) ) }.
% 13.84/14.22 parent1[0]: (53) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := skol12
% 13.84/14.22 end
% 13.84/14.22 substitution1:
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 resolution: (40330) {G1,W3,D3,L1,V0,M1} { relation( function_inverse(
% 13.84/14.22 skol12 ) ) }.
% 13.84/14.22 parent0[0]: (40329) {G1,W5,D3,L2,V0,M2} { ! function( skol12 ), relation(
% 13.84/14.22 function_inverse( skol12 ) ) }.
% 13.84/14.22 parent1[0]: (54) {G0,W2,D2,L1,V0,M1} I { function( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 substitution1:
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 subsumption: (79) {G1,W3,D3,L1,V0,M1} R(4,53);r(54) { relation(
% 13.84/14.22 function_inverse( skol12 ) ) }.
% 13.84/14.22 parent0: (40330) {G1,W3,D3,L1,V0,M1} { relation( function_inverse( skol12
% 13.84/14.22 ) ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 permutation0:
% 13.84/14.22 0 ==> 0
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 eqswap: (40331) {G0,W16,D4,L4,V2,M4} { relation_dom( X ) ==> relation_dom
% 13.84/14.22 ( relation_composition( X, Y ) ), ! relation( X ), ! relation( Y ), !
% 13.84/14.22 subset( relation_rng( X ), relation_dom( Y ) ) }.
% 13.84/14.22 parent0[3]: (48) {G0,W16,D4,L4,V2,M4} I { ! relation( X ), ! relation( Y )
% 13.84/14.22 , ! subset( relation_rng( X ), relation_dom( Y ) ), relation_dom(
% 13.84/14.22 relation_composition( X, Y ) ) ==> relation_dom( X ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := X
% 13.84/14.22 Y := Y
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 resolution: (40333) {G1,W20,D5,L5,V2,M5} { relation_dom( X ) ==>
% 13.84/14.22 relation_dom( relation_composition( X, function_inverse( Y ) ) ), !
% 13.84/14.22 relation( X ), ! subset( relation_rng( X ), relation_dom(
% 13.84/14.22 function_inverse( Y ) ) ), ! relation( Y ), ! function( Y ) }.
% 13.84/14.22 parent0[2]: (40331) {G0,W16,D4,L4,V2,M4} { relation_dom( X ) ==>
% 13.84/14.22 relation_dom( relation_composition( X, Y ) ), ! relation( X ), ! relation
% 13.84/14.22 ( Y ), ! subset( relation_rng( X ), relation_dom( Y ) ) }.
% 13.84/14.22 parent1[2]: (4) {G0,W7,D3,L3,V1,M3} I { ! relation( X ), ! function( X ),
% 13.84/14.22 relation( function_inverse( X ) ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := X
% 13.84/14.22 Y := function_inverse( Y )
% 13.84/14.22 end
% 13.84/14.22 substitution1:
% 13.84/14.22 X := Y
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 eqswap: (40334) {G1,W20,D5,L5,V2,M5} { relation_dom( relation_composition
% 13.84/14.22 ( X, function_inverse( Y ) ) ) ==> relation_dom( X ), ! relation( X ), !
% 13.84/14.22 subset( relation_rng( X ), relation_dom( function_inverse( Y ) ) ), !
% 13.84/14.22 relation( Y ), ! function( Y ) }.
% 13.84/14.22 parent0[0]: (40333) {G1,W20,D5,L5,V2,M5} { relation_dom( X ) ==>
% 13.84/14.22 relation_dom( relation_composition( X, function_inverse( Y ) ) ), !
% 13.84/14.22 relation( X ), ! subset( relation_rng( X ), relation_dom(
% 13.84/14.22 function_inverse( Y ) ) ), ! relation( Y ), ! function( Y ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := X
% 13.84/14.22 Y := Y
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 subsumption: (854) {G1,W20,D5,L5,V2,M5} R(48,4) { ! relation( X ), ! subset
% 13.84/14.22 ( relation_rng( X ), relation_dom( function_inverse( Y ) ) ),
% 13.84/14.22 relation_dom( relation_composition( X, function_inverse( Y ) ) ) ==>
% 13.84/14.22 relation_dom( X ), ! relation( Y ), ! function( Y ) }.
% 13.84/14.22 parent0: (40334) {G1,W20,D5,L5,V2,M5} { relation_dom( relation_composition
% 13.84/14.22 ( X, function_inverse( Y ) ) ) ==> relation_dom( X ), ! relation( X ), !
% 13.84/14.22 subset( relation_rng( X ), relation_dom( function_inverse( Y ) ) ), !
% 13.84/14.22 relation( Y ), ! function( Y ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := X
% 13.84/14.22 Y := Y
% 13.84/14.22 end
% 13.84/14.22 permutation0:
% 13.84/14.22 0 ==> 2
% 13.84/14.22 1 ==> 0
% 13.84/14.22 2 ==> 1
% 13.84/14.22 3 ==> 3
% 13.84/14.22 4 ==> 4
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 eqswap: (40340) {G0,W12,D4,L4,V1,M4} { relation_rng( X ) ==> relation_dom
% 13.84/14.22 ( function_inverse( X ) ), ! relation( X ), ! function( X ), ! one_to_one
% 13.84/14.22 ( X ) }.
% 13.84/14.22 parent0[3]: (51) {G0,W12,D4,L4,V1,M4} I { ! relation( X ), ! function( X )
% 13.84/14.22 , ! one_to_one( X ), relation_dom( function_inverse( X ) ) ==>
% 13.84/14.22 relation_rng( X ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := X
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 resolution: (40341) {G1,W10,D4,L3,V0,M3} { relation_rng( skol12 ) ==>
% 13.84/14.22 relation_dom( function_inverse( skol12 ) ), ! function( skol12 ), !
% 13.84/14.22 one_to_one( skol12 ) }.
% 13.84/14.22 parent0[1]: (40340) {G0,W12,D4,L4,V1,M4} { relation_rng( X ) ==>
% 13.84/14.22 relation_dom( function_inverse( X ) ), ! relation( X ), ! function( X ),
% 13.84/14.22 ! one_to_one( X ) }.
% 13.84/14.22 parent1[0]: (53) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := skol12
% 13.84/14.22 end
% 13.84/14.22 substitution1:
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 resolution: (40342) {G1,W8,D4,L2,V0,M2} { relation_rng( skol12 ) ==>
% 13.84/14.22 relation_dom( function_inverse( skol12 ) ), ! one_to_one( skol12 ) }.
% 13.84/14.22 parent0[1]: (40341) {G1,W10,D4,L3,V0,M3} { relation_rng( skol12 ) ==>
% 13.84/14.22 relation_dom( function_inverse( skol12 ) ), ! function( skol12 ), !
% 13.84/14.22 one_to_one( skol12 ) }.
% 13.84/14.22 parent1[0]: (54) {G0,W2,D2,L1,V0,M1} I { function( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 substitution1:
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 eqswap: (40343) {G1,W8,D4,L2,V0,M2} { relation_dom( function_inverse(
% 13.84/14.22 skol12 ) ) ==> relation_rng( skol12 ), ! one_to_one( skol12 ) }.
% 13.84/14.22 parent0[0]: (40342) {G1,W8,D4,L2,V0,M2} { relation_rng( skol12 ) ==>
% 13.84/14.22 relation_dom( function_inverse( skol12 ) ), ! one_to_one( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 subsumption: (1055) {G1,W8,D4,L2,V0,M2} R(51,53);r(54) { ! one_to_one(
% 13.84/14.22 skol12 ), relation_dom( function_inverse( skol12 ) ) ==> relation_rng(
% 13.84/14.22 skol12 ) }.
% 13.84/14.22 parent0: (40343) {G1,W8,D4,L2,V0,M2} { relation_dom( function_inverse(
% 13.84/14.22 skol12 ) ) ==> relation_rng( skol12 ), ! one_to_one( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 permutation0:
% 13.84/14.22 0 ==> 1
% 13.84/14.22 1 ==> 0
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 eqswap: (40344) {G0,W12,D4,L4,V1,M4} { relation_dom( X ) ==> relation_rng
% 13.84/14.22 ( function_inverse( X ) ), ! relation( X ), ! function( X ), ! one_to_one
% 13.84/14.22 ( X ) }.
% 13.84/14.22 parent0[3]: (52) {G0,W12,D4,L4,V1,M4} I { ! relation( X ), ! function( X )
% 13.84/14.22 , ! one_to_one( X ), relation_rng( function_inverse( X ) ) ==>
% 13.84/14.22 relation_dom( X ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := X
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 resolution: (40345) {G1,W10,D4,L3,V0,M3} { relation_dom( skol12 ) ==>
% 13.84/14.22 relation_rng( function_inverse( skol12 ) ), ! function( skol12 ), !
% 13.84/14.22 one_to_one( skol12 ) }.
% 13.84/14.22 parent0[1]: (40344) {G0,W12,D4,L4,V1,M4} { relation_dom( X ) ==>
% 13.84/14.22 relation_rng( function_inverse( X ) ), ! relation( X ), ! function( X ),
% 13.84/14.22 ! one_to_one( X ) }.
% 13.84/14.22 parent1[0]: (53) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := skol12
% 13.84/14.22 end
% 13.84/14.22 substitution1:
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 resolution: (40346) {G1,W8,D4,L2,V0,M2} { relation_dom( skol12 ) ==>
% 13.84/14.22 relation_rng( function_inverse( skol12 ) ), ! one_to_one( skol12 ) }.
% 13.84/14.22 parent0[1]: (40345) {G1,W10,D4,L3,V0,M3} { relation_dom( skol12 ) ==>
% 13.84/14.22 relation_rng( function_inverse( skol12 ) ), ! function( skol12 ), !
% 13.84/14.22 one_to_one( skol12 ) }.
% 13.84/14.22 parent1[0]: (54) {G0,W2,D2,L1,V0,M1} I { function( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 substitution1:
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 eqswap: (40347) {G1,W8,D4,L2,V0,M2} { relation_rng( function_inverse(
% 13.84/14.22 skol12 ) ) ==> relation_dom( skol12 ), ! one_to_one( skol12 ) }.
% 13.84/14.22 parent0[0]: (40346) {G1,W8,D4,L2,V0,M2} { relation_dom( skol12 ) ==>
% 13.84/14.22 relation_rng( function_inverse( skol12 ) ), ! one_to_one( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 subsumption: (1150) {G1,W8,D4,L2,V0,M2} R(52,53);r(54) { ! one_to_one(
% 13.84/14.22 skol12 ), relation_rng( function_inverse( skol12 ) ) ==> relation_dom(
% 13.84/14.22 skol12 ) }.
% 13.84/14.22 parent0: (40347) {G1,W8,D4,L2,V0,M2} { relation_rng( function_inverse(
% 13.84/14.22 skol12 ) ) ==> relation_dom( skol12 ), ! one_to_one( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 permutation0:
% 13.84/14.22 0 ==> 1
% 13.84/14.22 1 ==> 0
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 resolution: (40349) {G1,W6,D4,L1,V0,M1} { relation_rng( function_inverse(
% 13.84/14.22 skol12 ) ) ==> relation_dom( skol12 ) }.
% 13.84/14.22 parent0[0]: (1150) {G1,W8,D4,L2,V0,M2} R(52,53);r(54) { ! one_to_one(
% 13.84/14.22 skol12 ), relation_rng( function_inverse( skol12 ) ) ==> relation_dom(
% 13.84/14.22 skol12 ) }.
% 13.84/14.22 parent1[0]: (55) {G0,W2,D2,L1,V0,M1} I { one_to_one( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 substitution1:
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 subsumption: (20075) {G2,W6,D4,L1,V0,M1} S(1150);r(55) { relation_rng(
% 13.84/14.22 function_inverse( skol12 ) ) ==> relation_dom( skol12 ) }.
% 13.84/14.22 parent0: (40349) {G1,W6,D4,L1,V0,M1} { relation_rng( function_inverse(
% 13.84/14.22 skol12 ) ) ==> relation_dom( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 permutation0:
% 13.84/14.22 0 ==> 0
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 resolution: (40352) {G1,W6,D4,L1,V0,M1} { relation_dom( function_inverse(
% 13.84/14.22 skol12 ) ) ==> relation_rng( skol12 ) }.
% 13.84/14.22 parent0[0]: (1055) {G1,W8,D4,L2,V0,M2} R(51,53);r(54) { ! one_to_one(
% 13.84/14.22 skol12 ), relation_dom( function_inverse( skol12 ) ) ==> relation_rng(
% 13.84/14.22 skol12 ) }.
% 13.84/14.22 parent1[0]: (55) {G0,W2,D2,L1,V0,M1} I { one_to_one( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 substitution1:
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 subsumption: (20084) {G2,W6,D4,L1,V0,M1} S(1055);r(55) { relation_dom(
% 13.84/14.22 function_inverse( skol12 ) ) ==> relation_rng( skol12 ) }.
% 13.84/14.22 parent0: (40352) {G1,W6,D4,L1,V0,M1} { relation_dom( function_inverse(
% 13.84/14.22 skol12 ) ) ==> relation_rng( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 permutation0:
% 13.84/14.22 0 ==> 0
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 eqswap: (40355) {G0,W16,D4,L4,V2,M4} { relation_rng( Y ) ==> relation_rng
% 13.84/14.22 ( relation_composition( X, Y ) ), ! relation( Y ), ! relation( X ), !
% 13.84/14.22 subset( relation_dom( Y ), relation_rng( X ) ) }.
% 13.84/14.22 parent0[3]: (49) {G0,W16,D4,L4,V2,M4} I { ! relation( X ), ! relation( Y )
% 13.84/14.22 , ! subset( relation_dom( X ), relation_rng( Y ) ), relation_rng(
% 13.84/14.22 relation_composition( Y, X ) ) ==> relation_rng( X ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := Y
% 13.84/14.22 Y := X
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 paramod: (40357) {G1,W19,D5,L4,V1,M4} { ! subset( relation_rng( skol12 ),
% 13.84/14.22 relation_rng( X ) ), relation_rng( function_inverse( skol12 ) ) ==>
% 13.84/14.22 relation_rng( relation_composition( X, function_inverse( skol12 ) ) ), !
% 13.84/14.22 relation( function_inverse( skol12 ) ), ! relation( X ) }.
% 13.84/14.22 parent0[0]: (20084) {G2,W6,D4,L1,V0,M1} S(1055);r(55) { relation_dom(
% 13.84/14.22 function_inverse( skol12 ) ) ==> relation_rng( skol12 ) }.
% 13.84/14.22 parent1[3; 2]: (40355) {G0,W16,D4,L4,V2,M4} { relation_rng( Y ) ==>
% 13.84/14.22 relation_rng( relation_composition( X, Y ) ), ! relation( Y ), ! relation
% 13.84/14.22 ( X ), ! subset( relation_dom( Y ), relation_rng( X ) ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 substitution1:
% 13.84/14.22 X := X
% 13.84/14.22 Y := function_inverse( skol12 )
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 paramod: (40368) {G2,W18,D5,L4,V1,M4} { relation_dom( skol12 ) ==>
% 13.84/14.22 relation_rng( relation_composition( X, function_inverse( skol12 ) ) ), !
% 13.84/14.22 subset( relation_rng( skol12 ), relation_rng( X ) ), ! relation(
% 13.84/14.22 function_inverse( skol12 ) ), ! relation( X ) }.
% 13.84/14.22 parent0[0]: (20075) {G2,W6,D4,L1,V0,M1} S(1150);r(55) { relation_rng(
% 13.84/14.22 function_inverse( skol12 ) ) ==> relation_dom( skol12 ) }.
% 13.84/14.22 parent1[1; 1]: (40357) {G1,W19,D5,L4,V1,M4} { ! subset( relation_rng(
% 13.84/14.22 skol12 ), relation_rng( X ) ), relation_rng( function_inverse( skol12 ) )
% 13.84/14.22 ==> relation_rng( relation_composition( X, function_inverse( skol12 ) )
% 13.84/14.22 ), ! relation( function_inverse( skol12 ) ), ! relation( X ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 substitution1:
% 13.84/14.22 X := X
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 resolution: (40372) {G2,W15,D5,L3,V1,M3} { relation_dom( skol12 ) ==>
% 13.84/14.22 relation_rng( relation_composition( X, function_inverse( skol12 ) ) ), !
% 13.84/14.22 subset( relation_rng( skol12 ), relation_rng( X ) ), ! relation( X ) }.
% 13.84/14.22 parent0[2]: (40368) {G2,W18,D5,L4,V1,M4} { relation_dom( skol12 ) ==>
% 13.84/14.22 relation_rng( relation_composition( X, function_inverse( skol12 ) ) ), !
% 13.84/14.22 subset( relation_rng( skol12 ), relation_rng( X ) ), ! relation(
% 13.84/14.22 function_inverse( skol12 ) ), ! relation( X ) }.
% 13.84/14.22 parent1[0]: (79) {G1,W3,D3,L1,V0,M1} R(4,53);r(54) { relation(
% 13.84/14.22 function_inverse( skol12 ) ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := X
% 13.84/14.22 end
% 13.84/14.22 substitution1:
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 eqswap: (40373) {G2,W15,D5,L3,V1,M3} { relation_rng( relation_composition
% 13.84/14.22 ( X, function_inverse( skol12 ) ) ) ==> relation_dom( skol12 ), ! subset
% 13.84/14.22 ( relation_rng( skol12 ), relation_rng( X ) ), ! relation( X ) }.
% 13.84/14.22 parent0[0]: (40372) {G2,W15,D5,L3,V1,M3} { relation_dom( skol12 ) ==>
% 13.84/14.22 relation_rng( relation_composition( X, function_inverse( skol12 ) ) ), !
% 13.84/14.22 subset( relation_rng( skol12 ), relation_rng( X ) ), ! relation( X ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := X
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 subsumption: (21250) {G3,W15,D5,L3,V1,M3} P(20084,49);d(20075);r(79) { !
% 13.84/14.22 relation( X ), ! subset( relation_rng( skol12 ), relation_rng( X ) ),
% 13.84/14.22 relation_rng( relation_composition( X, function_inverse( skol12 ) ) ) ==>
% 13.84/14.22 relation_dom( skol12 ) }.
% 13.84/14.22 parent0: (40373) {G2,W15,D5,L3,V1,M3} { relation_rng( relation_composition
% 13.84/14.22 ( X, function_inverse( skol12 ) ) ) ==> relation_dom( skol12 ), ! subset
% 13.84/14.22 ( relation_rng( skol12 ), relation_rng( X ) ), ! relation( X ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := X
% 13.84/14.22 end
% 13.84/14.22 permutation0:
% 13.84/14.22 0 ==> 2
% 13.84/14.22 1 ==> 1
% 13.84/14.22 2 ==> 0
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 eqswap: (40374) {G1,W20,D5,L5,V2,M5} { relation_dom( X ) ==> relation_dom
% 13.84/14.22 ( relation_composition( X, function_inverse( Y ) ) ), ! relation( X ), !
% 13.84/14.22 subset( relation_rng( X ), relation_dom( function_inverse( Y ) ) ), !
% 13.84/14.22 relation( Y ), ! function( Y ) }.
% 13.84/14.22 parent0[2]: (854) {G1,W20,D5,L5,V2,M5} R(48,4) { ! relation( X ), ! subset
% 13.84/14.22 ( relation_rng( X ), relation_dom( function_inverse( Y ) ) ),
% 13.84/14.22 relation_dom( relation_composition( X, function_inverse( Y ) ) ) ==>
% 13.84/14.22 relation_dom( X ), ! relation( Y ), ! function( Y ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := X
% 13.84/14.22 Y := Y
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 eqswap: (40375) {G0,W16,D5,L2,V0,M2} { ! relation_dom( skol12 ) ==>
% 13.84/14.22 relation_dom( relation_composition( skol12, function_inverse( skol12 ) )
% 13.84/14.22 ), ! relation_rng( relation_composition( skol12, function_inverse(
% 13.84/14.22 skol12 ) ) ) ==> relation_dom( skol12 ) }.
% 13.84/14.22 parent0[0]: (56) {G0,W16,D5,L2,V0,M2} I { ! relation_dom(
% 13.84/14.22 relation_composition( skol12, function_inverse( skol12 ) ) ) ==>
% 13.84/14.22 relation_dom( skol12 ), ! relation_rng( relation_composition( skol12,
% 13.84/14.22 function_inverse( skol12 ) ) ) ==> relation_dom( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 resolution: (40380) {G1,W20,D5,L5,V0,M5} { ! relation_rng(
% 13.84/14.22 relation_composition( skol12, function_inverse( skol12 ) ) ) ==>
% 13.84/14.22 relation_dom( skol12 ), ! relation( skol12 ), ! subset( relation_rng(
% 13.84/14.22 skol12 ), relation_dom( function_inverse( skol12 ) ) ), ! relation(
% 13.84/14.22 skol12 ), ! function( skol12 ) }.
% 13.84/14.22 parent0[0]: (40375) {G0,W16,D5,L2,V0,M2} { ! relation_dom( skol12 ) ==>
% 13.84/14.22 relation_dom( relation_composition( skol12, function_inverse( skol12 ) )
% 13.84/14.22 ), ! relation_rng( relation_composition( skol12, function_inverse(
% 13.84/14.22 skol12 ) ) ) ==> relation_dom( skol12 ) }.
% 13.84/14.22 parent1[0]: (40374) {G1,W20,D5,L5,V2,M5} { relation_dom( X ) ==>
% 13.84/14.22 relation_dom( relation_composition( X, function_inverse( Y ) ) ), !
% 13.84/14.22 relation( X ), ! subset( relation_rng( X ), relation_dom(
% 13.84/14.22 function_inverse( Y ) ) ), ! relation( Y ), ! function( Y ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 substitution1:
% 13.84/14.22 X := skol12
% 13.84/14.22 Y := skol12
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 paramod: (40382) {G2,W19,D5,L5,V0,M5} { ! subset( relation_rng( skol12 ),
% 13.84/14.22 relation_rng( skol12 ) ), ! relation_rng( relation_composition( skol12,
% 13.84/14.22 function_inverse( skol12 ) ) ) ==> relation_dom( skol12 ), ! relation(
% 13.84/14.22 skol12 ), ! relation( skol12 ), ! function( skol12 ) }.
% 13.84/14.22 parent0[0]: (20084) {G2,W6,D4,L1,V0,M1} S(1055);r(55) { relation_dom(
% 13.84/14.22 function_inverse( skol12 ) ) ==> relation_rng( skol12 ) }.
% 13.84/14.22 parent1[2; 4]: (40380) {G1,W20,D5,L5,V0,M5} { ! relation_rng(
% 13.84/14.22 relation_composition( skol12, function_inverse( skol12 ) ) ) ==>
% 13.84/14.22 relation_dom( skol12 ), ! relation( skol12 ), ! subset( relation_rng(
% 13.84/14.22 skol12 ), relation_dom( function_inverse( skol12 ) ) ), ! relation(
% 13.84/14.22 skol12 ), ! function( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 substitution1:
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 factor: (40383) {G2,W17,D5,L4,V0,M4} { ! subset( relation_rng( skol12 ),
% 13.84/14.22 relation_rng( skol12 ) ), ! relation_rng( relation_composition( skol12,
% 13.84/14.22 function_inverse( skol12 ) ) ) ==> relation_dom( skol12 ), ! relation(
% 13.84/14.22 skol12 ), ! function( skol12 ) }.
% 13.84/14.22 parent0[2, 3]: (40382) {G2,W19,D5,L5,V0,M5} { ! subset( relation_rng(
% 13.84/14.22 skol12 ), relation_rng( skol12 ) ), ! relation_rng( relation_composition
% 13.84/14.22 ( skol12, function_inverse( skol12 ) ) ) ==> relation_dom( skol12 ), !
% 13.84/14.22 relation( skol12 ), ! relation( skol12 ), ! function( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 paramod: (40384) {G3,W21,D3,L6,V0,M6} { ! relation_dom( skol12 ) ==>
% 13.84/14.22 relation_dom( skol12 ), ! relation( skol12 ), ! subset( relation_rng(
% 13.84/14.22 skol12 ), relation_rng( skol12 ) ), ! subset( relation_rng( skol12 ),
% 13.84/14.22 relation_rng( skol12 ) ), ! relation( skol12 ), ! function( skol12 ) }.
% 13.84/14.22 parent0[2]: (21250) {G3,W15,D5,L3,V1,M3} P(20084,49);d(20075);r(79) { !
% 13.84/14.22 relation( X ), ! subset( relation_rng( skol12 ), relation_rng( X ) ),
% 13.84/14.22 relation_rng( relation_composition( X, function_inverse( skol12 ) ) ) ==>
% 13.84/14.22 relation_dom( skol12 ) }.
% 13.84/14.22 parent1[1; 2]: (40383) {G2,W17,D5,L4,V0,M4} { ! subset( relation_rng(
% 13.84/14.22 skol12 ), relation_rng( skol12 ) ), ! relation_rng( relation_composition
% 13.84/14.22 ( skol12, function_inverse( skol12 ) ) ) ==> relation_dom( skol12 ), !
% 13.84/14.22 relation( skol12 ), ! function( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 X := skol12
% 13.84/14.22 end
% 13.84/14.22 substitution1:
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 factor: (40385) {G3,W19,D3,L5,V0,M5} { ! relation_dom( skol12 ) ==>
% 13.84/14.22 relation_dom( skol12 ), ! relation( skol12 ), ! subset( relation_rng(
% 13.84/14.22 skol12 ), relation_rng( skol12 ) ), ! subset( relation_rng( skol12 ),
% 13.84/14.22 relation_rng( skol12 ) ), ! function( skol12 ) }.
% 13.84/14.22 parent0[1, 4]: (40384) {G3,W21,D3,L6,V0,M6} { ! relation_dom( skol12 ) ==>
% 13.84/14.22 relation_dom( skol12 ), ! relation( skol12 ), ! subset( relation_rng(
% 13.84/14.22 skol12 ), relation_rng( skol12 ) ), ! subset( relation_rng( skol12 ),
% 13.84/14.22 relation_rng( skol12 ) ), ! relation( skol12 ), ! function( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 eqrefl: (40388) {G0,W14,D3,L4,V0,M4} { ! relation( skol12 ), ! subset(
% 13.84/14.22 relation_rng( skol12 ), relation_rng( skol12 ) ), ! subset( relation_rng
% 13.84/14.22 ( skol12 ), relation_rng( skol12 ) ), ! function( skol12 ) }.
% 13.84/14.22 parent0[0]: (40385) {G3,W19,D3,L5,V0,M5} { ! relation_dom( skol12 ) ==>
% 13.84/14.22 relation_dom( skol12 ), ! relation( skol12 ), ! subset( relation_rng(
% 13.84/14.22 skol12 ), relation_rng( skol12 ) ), ! subset( relation_rng( skol12 ),
% 13.84/14.22 relation_rng( skol12 ) ), ! function( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 factor: (40389) {G0,W9,D3,L3,V0,M3} { ! relation( skol12 ), ! subset(
% 13.84/14.22 relation_rng( skol12 ), relation_rng( skol12 ) ), ! function( skol12 )
% 13.84/14.22 }.
% 13.84/14.22 parent0[1, 2]: (40388) {G0,W14,D3,L4,V0,M4} { ! relation( skol12 ), !
% 13.84/14.22 subset( relation_rng( skol12 ), relation_rng( skol12 ) ), ! subset(
% 13.84/14.22 relation_rng( skol12 ), relation_rng( skol12 ) ), ! function( skol12 )
% 13.84/14.22 }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 resolution: (40390) {G1,W7,D3,L2,V0,M2} { ! subset( relation_rng( skol12 )
% 13.84/14.22 , relation_rng( skol12 ) ), ! function( skol12 ) }.
% 13.84/14.22 parent0[0]: (40389) {G0,W9,D3,L3,V0,M3} { ! relation( skol12 ), ! subset(
% 13.84/14.22 relation_rng( skol12 ), relation_rng( skol12 ) ), ! function( skol12 )
% 13.84/14.22 }.
% 13.84/14.22 parent1[0]: (53) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 substitution1:
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 subsumption: (39571) {G4,W7,D3,L2,V0,M2} R(854,56);f;d(20084);d(21250);q;r(
% 13.84/14.22 53) { ! function( skol12 ), ! subset( relation_rng( skol12 ),
% 13.84/14.22 relation_rng( skol12 ) ) }.
% 13.84/14.22 parent0: (40390) {G1,W7,D3,L2,V0,M2} { ! subset( relation_rng( skol12 ),
% 13.84/14.22 relation_rng( skol12 ) ), ! function( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 permutation0:
% 13.84/14.22 0 ==> 1
% 13.84/14.22 1 ==> 0
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 resolution: (40391) {G1,W5,D3,L1,V0,M1} { ! subset( relation_rng( skol12 )
% 13.84/14.22 , relation_rng( skol12 ) ) }.
% 13.84/14.22 parent0[0]: (39571) {G4,W7,D3,L2,V0,M2} R(854,56);f;d(20084);d(21250);q;r(
% 13.84/14.22 53) { ! function( skol12 ), ! subset( relation_rng( skol12 ),
% 13.84/14.22 relation_rng( skol12 ) ) }.
% 13.84/14.22 parent1[0]: (54) {G0,W2,D2,L1,V0,M1} I { function( skol12 ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 substitution1:
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 resolution: (40392) {G1,W0,D0,L0,V0,M0} { }.
% 13.84/14.22 parent0[0]: (40391) {G1,W5,D3,L1,V0,M1} { ! subset( relation_rng( skol12 )
% 13.84/14.22 , relation_rng( skol12 ) ) }.
% 13.84/14.22 parent1[0]: (43) {G0,W3,D2,L1,V1,M1} I { subset( X, X ) }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 substitution1:
% 13.84/14.22 X := relation_rng( skol12 )
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 subsumption: (40146) {G5,W0,D0,L0,V0,M0} S(39571);r(54);r(43) { }.
% 13.84/14.22 parent0: (40392) {G1,W0,D0,L0,V0,M0} { }.
% 13.84/14.22 substitution0:
% 13.84/14.22 end
% 13.84/14.22 permutation0:
% 13.84/14.22 end
% 13.84/14.22
% 13.84/14.22 Proof check complete!
% 13.84/14.22
% 13.84/14.22 Memory use:
% 13.84/14.22
% 13.84/14.22 space for terms: 491653
% 13.84/14.22 space for clauses: 2025383
% 13.84/14.22
% 13.84/14.22
% 13.84/14.22 clauses generated: 111434
% 13.84/14.22 clauses kept: 40147
% 13.84/14.22 clauses selected: 1051
% 13.84/14.22 clauses deleted: 4338
% 13.84/14.22 clauses inuse deleted: 286
% 13.84/14.22
% 13.84/14.22 subsentry: 268814
% 13.84/14.22 literals s-matched: 110019
% 13.84/14.22 literals matched: 106779
% 13.84/14.22 full subsumption: 25328
% 13.84/14.22
% 13.84/14.22 checksum: 135096165
% 13.84/14.22
% 13.84/14.22
% 13.84/14.22 Bliksem ended
%------------------------------------------------------------------------------