TSTP Solution File: SEU032+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU032+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 07:10:21 EDT 2022
% Result : Theorem 43.54s 43.93s
% Output : Refutation 43.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU032+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 18 19:06:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.69/2.08 *** allocated 10000 integers for termspace/termends
% 1.69/2.08 *** allocated 10000 integers for clauses
% 1.69/2.08 *** allocated 10000 integers for justifications
% 1.69/2.08 Bliksem 1.12
% 1.69/2.08
% 1.69/2.08
% 1.69/2.08 Automatic Strategy Selection
% 1.69/2.08
% 1.69/2.08
% 1.69/2.08 Clauses:
% 1.69/2.08
% 1.69/2.08 { ! in( X, Y ), ! in( Y, X ) }.
% 1.69/2.08 { ! empty( X ), function( X ) }.
% 1.69/2.08 { ! empty( X ), relation( X ) }.
% 1.69/2.08 { ! relation( X ), ! empty( X ), ! function( X ), relation( X ) }.
% 1.69/2.08 { ! relation( X ), ! empty( X ), ! function( X ), function( X ) }.
% 1.69/2.08 { ! relation( X ), ! empty( X ), ! function( X ), one_to_one( X ) }.
% 1.69/2.08 { ! relation( X ), ! function( X ), relation( function_inverse( X ) ) }.
% 1.69/2.08 { ! relation( X ), ! function( X ), function( function_inverse( X ) ) }.
% 1.69/2.08 { ! relation( X ), ! relation( Y ), relation( relation_composition( X, Y )
% 1.69/2.08 ) }.
% 1.69/2.08 { relation( identity_relation( X ) ) }.
% 1.69/2.08 { element( skol1( X ), X ) }.
% 1.69/2.08 { ! empty( X ), ! relation( Y ), empty( relation_composition( Y, X ) ) }.
% 1.69/2.08 { ! empty( X ), ! relation( Y ), relation( relation_composition( Y, X ) ) }
% 1.69/2.08 .
% 1.69/2.08 { empty( empty_set ) }.
% 1.69/2.08 { relation( empty_set ) }.
% 1.69/2.08 { relation_empty_yielding( empty_set ) }.
% 1.69/2.08 { ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y ),
% 1.69/2.08 relation( relation_composition( X, Y ) ) }.
% 1.69/2.08 { ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y ),
% 1.69/2.08 function( relation_composition( X, Y ) ) }.
% 1.69/2.08 { ! empty( powerset( X ) ) }.
% 1.69/2.08 { empty( empty_set ) }.
% 1.69/2.08 { relation( identity_relation( X ) ) }.
% 1.69/2.08 { function( identity_relation( X ) ) }.
% 1.69/2.08 { empty( empty_set ) }.
% 1.69/2.08 { relation( empty_set ) }.
% 1.69/2.08 { empty( X ), ! relation( X ), ! empty( relation_dom( X ) ) }.
% 1.69/2.08 { empty( X ), ! relation( X ), ! empty( relation_rng( X ) ) }.
% 1.69/2.08 { ! empty( X ), empty( relation_dom( X ) ) }.
% 1.69/2.08 { ! empty( X ), relation( relation_dom( X ) ) }.
% 1.69/2.08 { ! empty( X ), empty( relation_rng( X ) ) }.
% 1.69/2.08 { ! empty( X ), relation( relation_rng( X ) ) }.
% 1.69/2.08 { ! empty( X ), ! relation( Y ), empty( relation_composition( X, Y ) ) }.
% 1.69/2.08 { ! empty( X ), ! relation( Y ), relation( relation_composition( X, Y ) ) }
% 1.69/2.08 .
% 1.69/2.08 { relation( skol2 ) }.
% 1.69/2.08 { function( skol2 ) }.
% 1.69/2.08 { empty( skol3 ) }.
% 1.69/2.08 { relation( skol3 ) }.
% 1.69/2.08 { empty( X ), ! empty( skol4( Y ) ) }.
% 1.69/2.08 { empty( X ), element( skol4( X ), powerset( X ) ) }.
% 1.69/2.08 { empty( skol5 ) }.
% 1.69/2.08 { relation( skol6 ) }.
% 1.69/2.08 { empty( skol6 ) }.
% 1.69/2.08 { function( skol6 ) }.
% 1.69/2.08 { ! empty( skol7 ) }.
% 1.69/2.08 { relation( skol7 ) }.
% 1.69/2.08 { empty( skol8( Y ) ) }.
% 1.69/2.08 { element( skol8( X ), powerset( X ) ) }.
% 1.69/2.08 { ! empty( skol9 ) }.
% 1.69/2.08 { relation( skol10 ) }.
% 1.69/2.08 { function( skol10 ) }.
% 1.69/2.08 { one_to_one( skol10 ) }.
% 1.69/2.08 { relation( skol11 ) }.
% 1.69/2.08 { relation_empty_yielding( skol11 ) }.
% 1.69/2.08 { subset( X, X ) }.
% 1.69/2.08 { ! in( X, Y ), element( X, Y ) }.
% 1.69/2.08 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 1.69/2.08 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 1.69/2.08 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 1.69/2.08 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 1.69/2.08 { ! relation( X ), ! function( X ), ! one_to_one( X ), relation_rng( X ) =
% 1.69/2.08 relation_dom( function_inverse( X ) ) }.
% 1.69/2.08 { ! relation( X ), ! function( X ), ! one_to_one( X ), relation_dom( X ) =
% 1.69/2.08 relation_rng( function_inverse( X ) ) }.
% 1.69/2.08 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 1.69/2.08 { ! relation( X ), ! function( X ), ! one_to_one( X ), relation_composition
% 1.69/2.08 ( X, function_inverse( X ) ) = identity_relation( relation_dom( X ) ) }.
% 1.69/2.08 { ! relation( X ), ! function( X ), ! one_to_one( X ), relation_composition
% 1.69/2.08 ( function_inverse( X ), X ) = identity_relation( relation_rng( X ) ) }.
% 1.69/2.08 { ! relation( X ), ! function( X ), ! one_to_one( X ), one_to_one(
% 1.69/2.08 function_inverse( X ) ) }.
% 1.69/2.08 { ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y ), !
% 1.69/2.08 one_to_one( X ), ! relation_rng( X ) = relation_dom( Y ), !
% 1.69/2.08 relation_composition( X, Y ) = identity_relation( relation_dom( X ) ), Y
% 1.69/2.08 = function_inverse( X ) }.
% 1.69/2.08 { relation( skol12 ) }.
% 1.69/2.08 { function( skol12 ) }.
% 1.69/2.08 { one_to_one( skol12 ) }.
% 1.69/2.08 { ! function_inverse( function_inverse( skol12 ) ) = skol12 }.
% 1.69/2.08 { ! empty( X ), X = empty_set }.
% 1.69/2.08 { ! in( X, Y ), ! empty( Y ) }.
% 1.69/2.08 { ! empty( X ), X = Y, ! empty( Y ) }.
% 1.69/2.08
% 1.69/2.08 percentage equality = 0.074627, percentage horn = 0.969231
% 1.69/2.08 This is a problem with some equality
% 1.69/2.08
% 1.69/2.08
% 1.69/2.08
% 1.69/2.08 Options Used:
% 1.69/2.08
% 1.69/2.08 useres = 1
% 1.69/2.08 useparamod = 1
% 1.69/2.08 useeqrefl = 1
% 23.75/24.14 useeqfact = 1
% 23.75/24.14 usefactor = 1
% 23.75/24.14 usesimpsplitting = 0
% 23.75/24.14 usesimpdemod = 5
% 23.75/24.14 usesimpres = 3
% 23.75/24.14
% 23.75/24.14 resimpinuse = 1000
% 23.75/24.14 resimpclauses = 20000
% 23.75/24.14 substype = eqrewr
% 23.75/24.14 backwardsubs = 1
% 23.75/24.14 selectoldest = 5
% 23.75/24.14
% 23.75/24.14 litorderings [0] = split
% 23.75/24.14 litorderings [1] = extend the termordering, first sorting on arguments
% 23.75/24.14
% 23.75/24.14 termordering = kbo
% 23.75/24.14
% 23.75/24.14 litapriori = 0
% 23.75/24.14 termapriori = 1
% 23.75/24.14 litaposteriori = 0
% 23.75/24.14 termaposteriori = 0
% 23.75/24.14 demodaposteriori = 0
% 23.75/24.14 ordereqreflfact = 0
% 23.75/24.14
% 23.75/24.14 litselect = negord
% 23.75/24.14
% 23.75/24.14 maxweight = 15
% 23.75/24.14 maxdepth = 30000
% 23.75/24.14 maxlength = 115
% 23.75/24.14 maxnrvars = 195
% 23.75/24.14 excuselevel = 1
% 23.75/24.14 increasemaxweight = 1
% 23.75/24.14
% 23.75/24.14 maxselected = 10000000
% 23.75/24.14 maxnrclauses = 10000000
% 23.75/24.14
% 23.75/24.14 showgenerated = 0
% 23.75/24.14 showkept = 0
% 23.75/24.14 showselected = 0
% 23.75/24.14 showdeleted = 0
% 23.75/24.14 showresimp = 1
% 23.75/24.14 showstatus = 2000
% 23.75/24.14
% 23.75/24.14 prologoutput = 0
% 23.75/24.14 nrgoals = 5000000
% 23.75/24.14 totalproof = 1
% 23.75/24.14
% 23.75/24.14 Symbols occurring in the translation:
% 23.75/24.14
% 23.75/24.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 23.75/24.14 . [1, 2] (w:1, o:37, a:1, s:1, b:0),
% 23.75/24.14 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 23.75/24.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 23.75/24.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 23.75/24.14 in [37, 2] (w:1, o:61, a:1, s:1, b:0),
% 23.75/24.14 empty [38, 1] (w:1, o:24, a:1, s:1, b:0),
% 23.75/24.14 function [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 23.75/24.14 relation [40, 1] (w:1, o:26, a:1, s:1, b:0),
% 23.75/24.14 one_to_one [41, 1] (w:1, o:27, a:1, s:1, b:0),
% 23.75/24.14 function_inverse [42, 1] (w:1, o:28, a:1, s:1, b:0),
% 23.75/24.14 relation_composition [43, 2] (w:1, o:62, a:1, s:1, b:0),
% 23.75/24.14 identity_relation [44, 1] (w:1, o:29, a:1, s:1, b:0),
% 23.75/24.14 element [45, 2] (w:1, o:63, a:1, s:1, b:0),
% 23.75/24.14 empty_set [46, 0] (w:1, o:8, a:1, s:1, b:0),
% 23.75/24.14 relation_empty_yielding [47, 1] (w:1, o:31, a:1, s:1, b:0),
% 23.75/24.14 powerset [48, 1] (w:1, o:32, a:1, s:1, b:0),
% 23.75/24.14 relation_dom [49, 1] (w:1, o:30, a:1, s:1, b:0),
% 23.75/24.14 relation_rng [50, 1] (w:1, o:33, a:1, s:1, b:0),
% 23.75/24.14 subset [51, 2] (w:1, o:64, a:1, s:1, b:0),
% 23.75/24.14 skol1 [53, 1] (w:1, o:34, a:1, s:1, b:1),
% 23.75/24.14 skol2 [54, 0] (w:1, o:13, a:1, s:1, b:1),
% 23.75/24.14 skol3 [55, 0] (w:1, o:14, a:1, s:1, b:1),
% 23.75/24.14 skol4 [56, 1] (w:1, o:35, a:1, s:1, b:1),
% 23.75/24.14 skol5 [57, 0] (w:1, o:15, a:1, s:1, b:1),
% 23.75/24.14 skol6 [58, 0] (w:1, o:16, a:1, s:1, b:1),
% 23.75/24.14 skol7 [59, 0] (w:1, o:17, a:1, s:1, b:1),
% 23.75/24.14 skol8 [60, 1] (w:1, o:36, a:1, s:1, b:1),
% 23.75/24.14 skol9 [61, 0] (w:1, o:18, a:1, s:1, b:1),
% 23.75/24.14 skol10 [62, 0] (w:1, o:10, a:1, s:1, b:1),
% 23.75/24.14 skol11 [63, 0] (w:1, o:11, a:1, s:1, b:1),
% 23.75/24.14 skol12 [64, 0] (w:1, o:12, a:1, s:1, b:1).
% 23.75/24.14
% 23.75/24.14
% 23.75/24.14 Starting Search:
% 23.75/24.14
% 23.75/24.14 *** allocated 15000 integers for clauses
% 23.75/24.14 *** allocated 22500 integers for clauses
% 23.75/24.14 *** allocated 33750 integers for clauses
% 23.75/24.14 *** allocated 50625 integers for clauses
% 23.75/24.14 *** allocated 15000 integers for termspace/termends
% 23.75/24.14 *** allocated 75937 integers for clauses
% 23.75/24.14 Resimplifying inuse:
% 23.75/24.14 Done
% 23.75/24.14
% 23.75/24.14 *** allocated 113905 integers for clauses
% 23.75/24.14 *** allocated 22500 integers for termspace/termends
% 23.75/24.14 *** allocated 33750 integers for termspace/termends
% 23.75/24.14
% 23.75/24.14 Intermediate Status:
% 23.75/24.14 Generated: 6258
% 23.75/24.14 Kept: 2117
% 23.75/24.14 Inuse: 226
% 23.75/24.14 Deleted: 36
% 23.75/24.14 Deletedinuse: 1
% 23.75/24.14
% 23.75/24.14 Resimplifying inuse:
% 23.75/24.14 Done
% 23.75/24.14
% 23.75/24.14 *** allocated 170857 integers for clauses
% 23.75/24.14 *** allocated 50625 integers for termspace/termends
% 23.75/24.14 Resimplifying inuse:
% 23.75/24.14 Done
% 23.75/24.14
% 23.75/24.14 *** allocated 256285 integers for clauses
% 23.75/24.14
% 23.75/24.14 Intermediate Status:
% 23.75/24.14 Generated: 10109
% 23.75/24.14 Kept: 4230
% 23.75/24.14 Inuse: 292
% 23.75/24.14 Deleted: 177
% 23.75/24.14 Deletedinuse: 118
% 23.75/24.14
% 23.75/24.14 Resimplifying inuse:
% 23.75/24.14 Done
% 23.75/24.14
% 23.75/24.14 *** allocated 75937 integers for termspace/termends
% 23.75/24.14 *** allocated 384427 integers for clauses
% 23.75/24.14 Resimplifying inuse:
% 23.75/24.14 Done
% 23.75/24.14
% 23.75/24.14
% 23.75/24.14 Intermediate Status:
% 23.75/24.14 Generated: 13903
% 23.75/24.14 Kept: 6256
% 23.75/24.14 Inuse: 336
% 23.75/24.14 Deleted: 192
% 23.75/24.14 Deletedinuse: 126
% 23.75/24.14
% 23.75/24.14 Resimplifying inuse:
% 23.75/24.14 Done
% 23.75/24.14
% 23.75/24.14 *** allocated 113905 integers for termspace/termends
% 23.75/24.14 *** allocated 576640 integers for clauses
% 23.75/24.14 Resimplifying inuse:
% 23.75/24.14 Done
% 23.75/24.14
% 23.75/24.14
% 23.75/24.14 Intermediate Status:
% 23.75/24.14 Generated: 18252
% 23.75/24.14 Kept: 8287
% 23.75/24.14 Inuse: 371
% 23.75/24.14 Deleted: 192
% 23.75/24.14 Deletedinuse: 126
% 23.75/24.14
% 23.75/24.14 Resimplifying inuse:
% 23.75/24.14 Done
% 23.75/24.14
% 23.75/24.14 Resimplifying inuse:
% 23.75/24.14 Done
% 23.75/24.14
% 23.75/24.14 *** allocated 170857 integers for termspace/termends
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 21771
% 43.54/43.93 Kept: 10307
% 43.54/43.93 Inuse: 403
% 43.54/43.93 Deleted: 221
% 43.54/43.93 Deletedinuse: 126
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 *** allocated 864960 integers for clauses
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 27291
% 43.54/43.93 Kept: 12324
% 43.54/43.93 Inuse: 497
% 43.54/43.93 Deleted: 426
% 43.54/43.93 Deletedinuse: 161
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 32532
% 43.54/43.93 Kept: 14336
% 43.54/43.93 Inuse: 536
% 43.54/43.93 Deleted: 535
% 43.54/43.93 Deletedinuse: 192
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 *** allocated 256285 integers for termspace/termends
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 37175
% 43.54/43.93 Kept: 16347
% 43.54/43.93 Inuse: 585
% 43.54/43.93 Deleted: 562
% 43.54/43.93 Deletedinuse: 194
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 *** allocated 1297440 integers for clauses
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 44214
% 43.54/43.93 Kept: 18418
% 43.54/43.93 Inuse: 624
% 43.54/43.93 Deleted: 581
% 43.54/43.93 Deletedinuse: 194
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 Resimplifying clauses:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 51736
% 43.54/43.93 Kept: 20427
% 43.54/43.93 Inuse: 665
% 43.54/43.93 Deleted: 4718
% 43.54/43.93 Deletedinuse: 194
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 *** allocated 384427 integers for termspace/termends
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 57793
% 43.54/43.93 Kept: 22433
% 43.54/43.93 Inuse: 714
% 43.54/43.93 Deleted: 4774
% 43.54/43.93 Deletedinuse: 248
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 64075
% 43.54/43.93 Kept: 24439
% 43.54/43.93 Inuse: 745
% 43.54/43.93 Deleted: 4775
% 43.54/43.93 Deletedinuse: 248
% 43.54/43.93
% 43.54/43.93 *** allocated 1946160 integers for clauses
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 69278
% 43.54/43.93 Kept: 26490
% 43.54/43.93 Inuse: 791
% 43.54/43.93 Deleted: 4778
% 43.54/43.93 Deletedinuse: 251
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 74648
% 43.54/43.93 Kept: 28534
% 43.54/43.93 Inuse: 844
% 43.54/43.93 Deleted: 4836
% 43.54/43.93 Deletedinuse: 282
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 79754
% 43.54/43.93 Kept: 30587
% 43.54/43.93 Inuse: 886
% 43.54/43.93 Deleted: 4900
% 43.54/43.93 Deletedinuse: 312
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 *** allocated 576640 integers for termspace/termends
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 85114
% 43.54/43.93 Kept: 32618
% 43.54/43.93 Inuse: 914
% 43.54/43.93 Deleted: 4905
% 43.54/43.93 Deletedinuse: 317
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 90140
% 43.54/43.93 Kept: 34716
% 43.54/43.93 Inuse: 937
% 43.54/43.93 Deleted: 4910
% 43.54/43.93 Deletedinuse: 319
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 95843
% 43.54/43.93 Kept: 36732
% 43.54/43.93 Inuse: 969
% 43.54/43.93 Deleted: 4921
% 43.54/43.93 Deletedinuse: 320
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 *** allocated 2919240 integers for clauses
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 100779
% 43.54/43.93 Kept: 38739
% 43.54/43.93 Inuse: 997
% 43.54/43.93 Deleted: 4926
% 43.54/43.93 Deletedinuse: 322
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 Resimplifying clauses:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 110511
% 43.54/43.93 Kept: 40786
% 43.54/43.93 Inuse: 1025
% 43.54/43.93 Deleted: 9744
% 43.54/43.93 Deletedinuse: 322
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 116326
% 43.54/43.93 Kept: 42904
% 43.54/43.93 Inuse: 1057
% 43.54/43.93 Deleted: 9746
% 43.54/43.93 Deletedinuse: 324
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 121783
% 43.54/43.93 Kept: 44927
% 43.54/43.93 Inuse: 1086
% 43.54/43.93 Deleted: 9746
% 43.54/43.93 Deletedinuse: 324
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 127748
% 43.54/43.93 Kept: 46950
% 43.54/43.93 Inuse: 1116
% 43.54/43.93 Deleted: 9746
% 43.54/43.93 Deletedinuse: 324
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 *** allocated 864960 integers for termspace/termends
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 132735
% 43.54/43.93 Kept: 48964
% 43.54/43.93 Inuse: 1143
% 43.54/43.93 Deleted: 9746
% 43.54/43.93 Deletedinuse: 324
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 139182
% 43.54/43.93 Kept: 50980
% 43.54/43.93 Inuse: 1213
% 43.54/43.93 Deleted: 9748
% 43.54/43.93 Deletedinuse: 324
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 150377
% 43.54/43.93 Kept: 53003
% 43.54/43.93 Inuse: 1299
% 43.54/43.93 Deleted: 9755
% 43.54/43.93 Deletedinuse: 324
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 168622
% 43.54/43.93 Kept: 55055
% 43.54/43.93 Inuse: 1385
% 43.54/43.93 Deleted: 9775
% 43.54/43.93 Deletedinuse: 329
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Intermediate Status:
% 43.54/43.93 Generated: 178765
% 43.54/43.93 Kept: 57100
% 43.54/43.93 Inuse: 1433
% 43.54/43.93 Deleted: 9785
% 43.54/43.93 Deletedinuse: 337
% 43.54/43.93
% 43.54/43.93 Resimplifying inuse:
% 43.54/43.93 Done
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Bliksems!, er is een bewijs:
% 43.54/43.93 % SZS status Theorem
% 43.54/43.93 % SZS output start Refutation
% 43.54/43.93
% 43.54/43.93 (4) {G0,W7,D3,L3,V1,M3} I { ! relation( X ), ! function( X ), relation(
% 43.54/43.93 function_inverse( X ) ) }.
% 43.54/43.93 (5) {G0,W7,D3,L3,V1,M3} I { ! relation( X ), ! function( X ), function(
% 43.54/43.93 function_inverse( X ) ) }.
% 43.54/43.93 (51) {G0,W12,D4,L4,V1,M4} I { ! relation( X ), ! function( X ), !
% 43.54/43.93 one_to_one( X ), relation_dom( function_inverse( X ) ) ==> relation_rng(
% 43.54/43.93 X ) }.
% 43.54/43.93 (52) {G0,W12,D4,L4,V1,M4} I { ! relation( X ), ! function( X ), !
% 43.54/43.93 one_to_one( X ), relation_rng( function_inverse( X ) ) ==> relation_dom(
% 43.54/43.93 X ) }.
% 43.54/43.93 (55) {G0,W14,D4,L4,V1,M4} I { ! relation( X ), ! function( X ), !
% 43.54/43.93 one_to_one( X ), relation_composition( function_inverse( X ), X ) ==>
% 43.54/43.93 identity_relation( relation_rng( X ) ) }.
% 43.54/43.93 (56) {G0,W9,D3,L4,V1,M4} I { ! relation( X ), ! function( X ), ! one_to_one
% 43.54/43.93 ( X ), one_to_one( function_inverse( X ) ) }.
% 43.54/43.93 (57) {G0,W26,D4,L8,V2,M8} I { ! relation( X ), ! function( X ), ! relation
% 43.54/43.93 ( Y ), ! function( Y ), ! one_to_one( X ), ! relation_rng( X ) =
% 43.54/43.93 relation_dom( Y ), ! relation_composition( X, Y ) = identity_relation(
% 43.54/43.93 relation_dom( X ) ), Y = function_inverse( X ) }.
% 43.54/43.93 (58) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 43.54/43.93 (59) {G0,W2,D2,L1,V0,M1} I { function( skol12 ) }.
% 43.54/43.93 (60) {G0,W2,D2,L1,V0,M1} I { one_to_one( skol12 ) }.
% 43.54/43.93 (61) {G0,W5,D4,L1,V0,M1} I { ! function_inverse( function_inverse( skol12 )
% 43.54/43.93 ) ==> skol12 }.
% 43.54/43.93 (82) {G1,W3,D3,L1,V0,M1} R(4,58);r(59) { relation( function_inverse( skol12
% 43.54/43.93 ) ) }.
% 43.54/43.93 (95) {G1,W3,D3,L1,V0,M1} R(5,58);r(59) { function( function_inverse( skol12
% 43.54/43.93 ) ) }.
% 43.54/43.93 (959) {G1,W8,D4,L2,V0,M2} R(51,58);r(59) { ! one_to_one( skol12 ),
% 43.54/43.93 relation_dom( function_inverse( skol12 ) ) ==> relation_rng( skol12 ) }.
% 43.54/43.93 (1052) {G1,W8,D4,L2,V0,M2} R(52,58);r(59) { ! one_to_one( skol12 ),
% 43.54/43.93 relation_rng( function_inverse( skol12 ) ) ==> relation_dom( skol12 ) }.
% 43.54/43.93 (1266) {G1,W10,D4,L2,V0,M2} R(55,58);r(59) { ! one_to_one( skol12 ),
% 43.54/43.93 relation_composition( function_inverse( skol12 ), skol12 ) ==>
% 43.54/43.93 identity_relation( relation_rng( skol12 ) ) }.
% 43.54/43.93 (1374) {G1,W5,D3,L2,V0,M2} R(56,58);r(59) { ! one_to_one( skol12 ),
% 43.54/43.93 one_to_one( function_inverse( skol12 ) ) }.
% 43.54/43.93 (1434) {G1,W22,D4,L6,V1,M6} R(57,58);r(59) { ! relation( X ), ! function( X
% 43.54/43.93 ), ! one_to_one( X ), ! relation_rng( X ) = relation_dom( skol12 ), !
% 43.54/43.93 relation_composition( X, skol12 ) ==> identity_relation( relation_dom( X
% 43.54/43.93 ) ), function_inverse( X ) ==> skol12 }.
% 43.54/43.93 (3627) {G2,W3,D3,L1,V0,M1} S(1374);r(60) { one_to_one( function_inverse(
% 43.54/43.93 skol12 ) ) }.
% 43.54/43.93 (20156) {G2,W8,D4,L1,V0,M1} S(1266);r(60) { relation_composition(
% 43.54/43.93 function_inverse( skol12 ), skol12 ) ==> identity_relation( relation_rng
% 43.54/43.93 ( skol12 ) ) }.
% 43.54/43.93 (20161) {G2,W6,D4,L1,V0,M1} S(1052);r(60) { relation_rng( function_inverse
% 43.54/43.93 ( skol12 ) ) ==> relation_dom( skol12 ) }.
% 43.54/43.93 (20165) {G2,W6,D4,L1,V0,M1} S(959);r(60) { relation_dom( function_inverse(
% 43.54/43.93 skol12 ) ) ==> relation_rng( skol12 ) }.
% 43.54/43.93 (58366) {G3,W6,D3,L2,V0,M2} R(1434,61);d(20161);d(20156);d(20165);q;q;r(82)
% 43.54/43.93 { ! function( function_inverse( skol12 ) ), ! one_to_one(
% 43.54/43.93 function_inverse( skol12 ) ) }.
% 43.54/43.93 (58372) {G4,W0,D0,L0,V0,M0} S(58366);r(95);r(3627) { }.
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 % SZS output end Refutation
% 43.54/43.93 found a proof!
% 43.54/43.93
% 43.54/43.93 *** allocated 4378860 integers for clauses
% 43.54/43.93
% 43.54/43.93 Unprocessed initial clauses:
% 43.54/43.93
% 43.54/43.93 (58374) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 43.54/43.93 (58375) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 43.54/43.93 (58376) {G0,W4,D2,L2,V1,M2} { ! empty( X ), relation( X ) }.
% 43.54/43.93 (58377) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 43.54/43.93 ), relation( X ) }.
% 43.54/43.93 (58378) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 43.54/43.93 ), function( X ) }.
% 43.54/43.93 (58379) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 43.54/43.93 ), one_to_one( X ) }.
% 43.54/43.93 (58380) {G0,W7,D3,L3,V1,M3} { ! relation( X ), ! function( X ), relation(
% 43.54/43.93 function_inverse( X ) ) }.
% 43.54/43.93 (58381) {G0,W7,D3,L3,V1,M3} { ! relation( X ), ! function( X ), function(
% 43.54/43.93 function_inverse( X ) ) }.
% 43.54/43.93 (58382) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! relation( Y ), relation(
% 43.54/43.93 relation_composition( X, Y ) ) }.
% 43.54/43.93 (58383) {G0,W3,D3,L1,V1,M1} { relation( identity_relation( X ) ) }.
% 43.54/43.93 (58384) {G0,W4,D3,L1,V1,M1} { element( skol1( X ), X ) }.
% 43.54/43.93 (58385) {G0,W8,D3,L3,V2,M3} { ! empty( X ), ! relation( Y ), empty(
% 43.54/43.93 relation_composition( Y, X ) ) }.
% 43.54/43.93 (58386) {G0,W8,D3,L3,V2,M3} { ! empty( X ), ! relation( Y ), relation(
% 43.54/43.93 relation_composition( Y, X ) ) }.
% 43.54/43.93 (58387) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 43.54/43.93 (58388) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 43.54/43.93 (58389) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 43.54/43.93 (58390) {G0,W12,D3,L5,V2,M5} { ! relation( X ), ! function( X ), !
% 43.54/43.93 relation( Y ), ! function( Y ), relation( relation_composition( X, Y ) )
% 43.54/43.93 }.
% 43.54/43.93 (58391) {G0,W12,D3,L5,V2,M5} { ! relation( X ), ! function( X ), !
% 43.54/43.93 relation( Y ), ! function( Y ), function( relation_composition( X, Y ) )
% 43.54/43.93 }.
% 43.54/43.93 (58392) {G0,W3,D3,L1,V1,M1} { ! empty( powerset( X ) ) }.
% 43.54/43.93 (58393) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 43.54/43.93 (58394) {G0,W3,D3,L1,V1,M1} { relation( identity_relation( X ) ) }.
% 43.54/43.93 (58395) {G0,W3,D3,L1,V1,M1} { function( identity_relation( X ) ) }.
% 43.54/43.93 (58396) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 43.54/43.93 (58397) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 43.54/43.93 (58398) {G0,W7,D3,L3,V1,M3} { empty( X ), ! relation( X ), ! empty(
% 43.54/43.93 relation_dom( X ) ) }.
% 43.54/43.93 (58399) {G0,W7,D3,L3,V1,M3} { empty( X ), ! relation( X ), ! empty(
% 43.54/43.93 relation_rng( X ) ) }.
% 43.54/43.93 (58400) {G0,W5,D3,L2,V1,M2} { ! empty( X ), empty( relation_dom( X ) ) }.
% 43.54/43.93 (58401) {G0,W5,D3,L2,V1,M2} { ! empty( X ), relation( relation_dom( X ) )
% 43.54/43.93 }.
% 43.54/43.93 (58402) {G0,W5,D3,L2,V1,M2} { ! empty( X ), empty( relation_rng( X ) ) }.
% 43.54/43.93 (58403) {G0,W5,D3,L2,V1,M2} { ! empty( X ), relation( relation_rng( X ) )
% 43.54/43.93 }.
% 43.54/43.93 (58404) {G0,W8,D3,L3,V2,M3} { ! empty( X ), ! relation( Y ), empty(
% 43.54/43.93 relation_composition( X, Y ) ) }.
% 43.54/43.93 (58405) {G0,W8,D3,L3,V2,M3} { ! empty( X ), ! relation( Y ), relation(
% 43.54/43.93 relation_composition( X, Y ) ) }.
% 43.54/43.93 (58406) {G0,W2,D2,L1,V0,M1} { relation( skol2 ) }.
% 43.54/43.93 (58407) {G0,W2,D2,L1,V0,M1} { function( skol2 ) }.
% 43.54/43.93 (58408) {G0,W2,D2,L1,V0,M1} { empty( skol3 ) }.
% 43.54/43.93 (58409) {G0,W2,D2,L1,V0,M1} { relation( skol3 ) }.
% 43.54/43.93 (58410) {G0,W5,D3,L2,V2,M2} { empty( X ), ! empty( skol4( Y ) ) }.
% 43.54/43.93 (58411) {G0,W7,D3,L2,V1,M2} { empty( X ), element( skol4( X ), powerset( X
% 43.54/43.93 ) ) }.
% 43.54/43.93 (58412) {G0,W2,D2,L1,V0,M1} { empty( skol5 ) }.
% 43.54/43.93 (58413) {G0,W2,D2,L1,V0,M1} { relation( skol6 ) }.
% 43.54/43.93 (58414) {G0,W2,D2,L1,V0,M1} { empty( skol6 ) }.
% 43.54/43.93 (58415) {G0,W2,D2,L1,V0,M1} { function( skol6 ) }.
% 43.54/43.93 (58416) {G0,W2,D2,L1,V0,M1} { ! empty( skol7 ) }.
% 43.54/43.93 (58417) {G0,W2,D2,L1,V0,M1} { relation( skol7 ) }.
% 43.54/43.93 (58418) {G0,W3,D3,L1,V1,M1} { empty( skol8( Y ) ) }.
% 43.54/43.93 (58419) {G0,W5,D3,L1,V1,M1} { element( skol8( X ), powerset( X ) ) }.
% 43.54/43.93 (58420) {G0,W2,D2,L1,V0,M1} { ! empty( skol9 ) }.
% 43.54/43.93 (58421) {G0,W2,D2,L1,V0,M1} { relation( skol10 ) }.
% 43.54/43.93 (58422) {G0,W2,D2,L1,V0,M1} { function( skol10 ) }.
% 43.54/43.93 (58423) {G0,W2,D2,L1,V0,M1} { one_to_one( skol10 ) }.
% 43.54/43.93 (58424) {G0,W2,D2,L1,V0,M1} { relation( skol11 ) }.
% 43.54/43.93 (58425) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol11 ) }.
% 43.54/43.93 (58426) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 43.54/43.93 (58427) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 43.54/43.93 (58428) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 43.54/43.93 }.
% 43.54/43.93 (58429) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y
% 43.54/43.93 ) }.
% 43.54/43.93 (58430) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y )
% 43.54/43.93 ) }.
% 43.54/43.93 (58431) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y ) )
% 43.54/43.93 , element( X, Y ) }.
% 43.54/43.93 (58432) {G0,W12,D4,L4,V1,M4} { ! relation( X ), ! function( X ), !
% 43.54/43.93 one_to_one( X ), relation_rng( X ) = relation_dom( function_inverse( X )
% 43.54/43.93 ) }.
% 43.54/43.93 (58433) {G0,W12,D4,L4,V1,M4} { ! relation( X ), ! function( X ), !
% 43.54/43.93 one_to_one( X ), relation_dom( X ) = relation_rng( function_inverse( X )
% 43.54/43.93 ) }.
% 43.54/43.93 (58434) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) )
% 43.54/43.93 , ! empty( Z ) }.
% 43.54/43.93 (58435) {G0,W14,D4,L4,V1,M4} { ! relation( X ), ! function( X ), !
% 43.54/43.93 one_to_one( X ), relation_composition( X, function_inverse( X ) ) =
% 43.54/43.93 identity_relation( relation_dom( X ) ) }.
% 43.54/43.93 (58436) {G0,W14,D4,L4,V1,M4} { ! relation( X ), ! function( X ), !
% 43.54/43.93 one_to_one( X ), relation_composition( function_inverse( X ), X ) =
% 43.54/43.93 identity_relation( relation_rng( X ) ) }.
% 43.54/43.93 (58437) {G0,W9,D3,L4,V1,M4} { ! relation( X ), ! function( X ), !
% 43.54/43.93 one_to_one( X ), one_to_one( function_inverse( X ) ) }.
% 43.54/43.93 (58438) {G0,W26,D4,L8,V2,M8} { ! relation( X ), ! function( X ), !
% 43.54/43.93 relation( Y ), ! function( Y ), ! one_to_one( X ), ! relation_rng( X ) =
% 43.54/43.93 relation_dom( Y ), ! relation_composition( X, Y ) = identity_relation(
% 43.54/43.93 relation_dom( X ) ), Y = function_inverse( X ) }.
% 43.54/43.93 (58439) {G0,W2,D2,L1,V0,M1} { relation( skol12 ) }.
% 43.54/43.93 (58440) {G0,W2,D2,L1,V0,M1} { function( skol12 ) }.
% 43.54/43.93 (58441) {G0,W2,D2,L1,V0,M1} { one_to_one( skol12 ) }.
% 43.54/43.93 (58442) {G0,W5,D4,L1,V0,M1} { ! function_inverse( function_inverse( skol12
% 43.54/43.93 ) ) = skol12 }.
% 43.54/43.93 (58443) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 43.54/43.93 (58444) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 43.54/43.93 (58445) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 43.54/43.93
% 43.54/43.93
% 43.54/43.93 Total Proof:
% 43.54/43.93
% 43.54/43.93 subsumption: (4) {G0,W7,D3,L3,V1,M3} I { ! relation( X ), ! function( X ),
% 43.54/43.93 relation( function_inverse( X ) ) }.
% 43.54/43.93 parent0: (58380) {G0,W7,D3,L3,V1,M3} { ! relation( X ), ! function( X ),
% 43.54/43.93 relation( function_inverse( X ) ) }.
% 43.54/43.93 substitution0:
% 43.54/43.93 X := X
% 43.54/43.93 end
% 43.54/43.93 permutation0:
% 43.54/43.93 0 ==> 0
% 43.54/43.93 1 ==> 1
% 43.54/43.93 2 ==> 2
% 43.54/43.93 end
% 43.54/43.93
% 43.54/43.93 subsumption: (5) {G0,W7,D3,L3,V1,M3} I { ! relation( X ), ! function( X ),
% 43.54/43.93 function( function_inverse( X ) ) }.
% 43.54/43.93 parent0: (58381) {G0,W7,D3,L3,V1,M3} { ! relation( X ), ! function( X ),
% 43.54/43.93 function( function_inverse( X ) ) }.
% 43.54/43.93 substitution0:
% 43.54/43.93 X := X
% 43.54/43.93 end
% 43.54/43.93 permutation0:
% 43.54/43.93 0 ==> 0
% 43.54/43.93 1 ==> 1
% 43.54/43.93 2 ==> 2
% 43.54/43.93 end
% 43.54/43.93
% 43.54/43.93 eqswap: (58454) {G0,W12,D4,L4,V1,M4} { relation_dom( function_inverse( X )
% 43.54/43.93 ) = relation_rng( X ), ! relation( X ), ! function( X ), ! one_to_one( X
% 43.54/43.93 ) }.
% 43.54/43.93 parent0[3]: (58432) {G0,W12,D4,L4,V1,M4} { ! relation( X ), ! function( X
% 43.54/43.93 ), ! one_to_one( X ), relation_rng( X ) = relation_dom( function_inverse
% 43.54/43.93 ( X ) ) }.
% 43.54/43.93 substitution0:
% 43.54/43.93 X := X
% 43.54/43.93 end
% 43.54/43.93
% 43.54/43.93 subsumption: (51) {G0,W12,D4,L4,V1,M4} I { ! relation( X ), ! function( X )
% 43.54/43.93 , ! one_to_one( X ), relation_dom( function_inverse( X ) ) ==>
% 43.54/43.93 relation_rng( X ) }.
% 43.54/43.93 parent0: (58454) {G0,W12,D4,L4,V1,M4} { relation_dom( function_inverse( X
% 43.54/43.93 ) ) = relation_rng( X ), ! relation( X ), ! function( X ), ! one_to_one
% 43.54/43.93 ( X ) }.
% 43.54/43.93 substitution0:
% 43.54/43.93 X := X
% 43.54/43.93 end
% 43.54/43.93 permutation0:
% 43.54/43.93 0 ==> 3
% 43.54/43.93 1 ==> 0
% 43.54/43.93 2 ==> 1
% 43.54/43.93 3 ==> 2
% 43.54/43.93 end
% 43.54/43.93
% 43.54/43.93 eqswap: (58462) {G0,W12,D4,L4,V1,M4} { relation_rng( function_inverse( X )
% 43.54/43.93 ) = relation_dom( X ), ! relation( X ), ! function( X ), ! one_to_one( X
% 43.54/43.93 ) }.
% 43.54/43.93 parent0[3]: (58433) {G0,W12,D4,L4,V1,M4} { ! relation( X ), ! function( X
% 43.54/43.93 ), ! one_to_one( X ), relation_dom( X ) = relation_rng( function_inverse
% 43.54/43.93 ( X ) ) }.
% 43.54/43.93 substitution0:
% 43.54/43.93 X := X
% 43.54/43.93 end
% 43.54/43.93
% 43.54/43.93 subsumption: (52) {G0,W12,D4,L4,V1,M4} I { ! relation( X ), ! function( X )
% 43.54/43.93 , ! one_to_one( X ), relation_rng( function_inverse( X ) ) ==>
% 43.54/43.93 relation_dom( X ) }.
% 43.54/43.93 parent0: (58462) {G0,W12,D4,L4,V1,M4} { relation_rng( function_inverse( X
% 43.54/43.93 ) ) = relation_dom( X ), ! relation( X ), ! function( X ), ! one_to_one
% 43.54/43.93 ( X ) }.
% 43.54/43.93 substitution0:
% 43.54/43.93 X := X
% 43.54/43.93 end
% 43.54/43.93 permutation0:
% 43.54/43.93 0 ==> 3
% 43.54/43.93 1 ==> 0
% 43.54/43.93 2 ==> 1
% 43.54/43.93 3 ==> 2
% 43.54/43.93 end
% 43.54/43.93
% 43.54/43.93 subsumption: (55) {G0,W14,D4,L4,V1,M4} I { ! relation( X ), ! function( X )
% 43.54/43.93 , ! one_to_one( X ), relation_composition( function_inverse( X ), X ) ==>
% 43.54/43.93 identity_relation( relation_rng( X ) ) }.
% 43.54/43.93 parent0: (58436) {G0,W14,D4,L4,V1,M4} { ! relation( X ), ! function( X ),
% 43.54/43.93 ! one_to_one( X ), relation_composition( function_inverse( X ), X ) =
% 43.54/43.93 identity_relation( relation_rng( X ) ) }.
% 43.54/43.93 substitution0:
% 43.54/43.93 X := X
% 43.54/43.93 end
% 43.54/43.93 permutation0:
% 43.54/43.93 0 ==> 0
% 43.54/43.93 1 ==> 1
% 43.54/43.93 2 ==> 2
% 43.54/43.93 3 ==> 3
% 43.54/43.93 end
% 43.54/43.93
% 43.54/43.93 subsumption: (56) {G0,W9,D3,L4,V1,M4} I { ! relation( X ), ! function( X )
% 43.54/43.93 , ! one_to_one( X ), one_to_one( function_inverse( X ) ) }.
% 43.54/43.93 parent0: (58437) {G0,W9,D3,L4,V1,M4} { ! relation( X ), ! function( X ), !
% 43.54/43.93 one_to_one( X ), one_to_one( function_inverse( X ) ) }.
% 43.54/43.93 substitution0:
% 43.54/43.93 X := X
% 43.54/43.93 end
% 43.54/43.93 permutation0:
% 43.54/43.93 0 ==> 0
% 43.54/43.93 1 ==> 1
% 43.54/43.93 2 ==> 2
% 43.54/43.93 3 ==> 3
% 43.54/43.93 end
% 43.54/43.93
% 43.54/43.93 subsumption: (57) {G0,W26,D4,L8,V2,M8} I { ! relation( X ), ! function( X )
% 43.54/43.93 , ! relation( Y ), ! function( Y ), ! one_to_one( X ), ! relation_rng( X
% 43.54/43.93 ) = relation_dom( Y ), ! relation_composition( X, Y ) =
% 43.54/43.93 identity_relation( relation_dom( X ) ), Y = function_inverse( X ) }.
% 43.54/43.93 parent0: (58438) {G0,W26,D4,L8,V2,M8} { ! relation( X ), ! function( X ),
% 43.54/43.93 ! relation( Y ), ! function( Y ), ! one_to_one( X ), ! relation_rng( X )
% 43.54/43.93 = relation_dom( Y ), ! relation_composition( X, Y ) = identity_relation(
% 43.54/43.93 relation_dom( X ) ), Y = function_inverse( X ) }.
% 43.54/43.93 substitution0:
% 43.54/43.93 X := X
% 43.54/43.93 Y := Y
% 43.54/43.93 end
% 43.54/43.93 permutation0:
% 43.54/43.93 0 ==> 0
% 43.54/43.93 1 ==> 1
% 43.54/43.93 2 ==> 2
% 43.54/43.93 3 ==> 3
% 43.54/43.93 4 ==> 4
% 43.54/43.93 5 ==> 5
% 43.54/43.93 6 ==> 6
% 43.54/43.93 7 ==> 7
% 43.54/43.93 end
% 43.54/43.93
% 43.54/43.93 subsumption: (58) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 43.54/43.93 parent0: (58439) {G0,W2,D2,L1,V0,M1} { relation( skol12 ) }.
% 43.54/43.93 substitution0:
% 43.54/43.93 end
% 43.54/43.93 permutation0:
% 43.54/43.93 0 ==> 0
% 43.54/43.93 end
% 43.54/43.93
% 43.54/43.93 subsumption: (59) {G0,W2,D2,L1,V0,M1} I { function( skol12 ) }.
% 43.54/43.93 parent0: (58440) {G0,W2,D2,L1,V0,M1} { function( skol12 ) }.
% 43.54/43.93 substitution0:
% 43.54/43.93 end
% 43.54/43.93 permutation0:
% 43.54/43.93 0 ==> 0
% 43.54/43.93 end
% 43.54/43.93
% 43.54/43.93 subsumption: (60) {G0,W2,D2,L1,V0,M1} I { one_to_one( skol12 ) }.
% 43.54/43.93 parent0: (58441) {G0,W2,D2,L1,V0,M1} { one_to_one( skol12 ) }.
% 43.54/43.93 substitution0:
% 43.54/43.93 end
% 43.54/43.93 permutation0:
% 43.54/43.93 0 ==> 0
% 43.54/43.93 end
% 43.54/43.93
% 43.54/43.93 subsumption: (61) {G0,W5,D4,L1,V0,M1} I { ! function_inverse(
% 43.54/43.93 function_inverse( skol12 ) ) ==> skol12 }.
% 43.54/43.93 parent0: (58442) {G0,W5,D4,L1,V0,M1} { ! function_inverse(
% 43.54/43.93 function_inverse( skol12 ) ) = skol12 }.
% 43.54/43.93 substitution0:
% 43.54/43.93 end
% 43.54/43.93 permutation0:
% 43.54/43.93 0 ==> 0
% 43.54/43.93 end
% 43.54/43.93
% 43.54/43.93 resolution: (58649) {G1,W5,D3,L2,V0,M2} { ! function( skol12 ), relation(
% 43.54/43.93 function_inverse( skol12 ) ) }.
% 43.54/43.93 parent0[0]: (4) {G0,W7,D3,L3,V1,M3} I { ! relation( X ), ! function( X ),
% 43.54/43.93 relation( function_inverse( X ) ) }.
% 43.54/43.94 parent1[0]: (58) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 X := skol12
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 resolution: (58650) {G1,W3,D3,L1,V0,M1} { relation( function_inverse(
% 43.54/43.94 skol12 ) ) }.
% 43.54/43.94 parent0[0]: (58649) {G1,W5,D3,L2,V0,M2} { ! function( skol12 ), relation(
% 43.54/43.94 function_inverse( skol12 ) ) }.
% 43.54/43.94 parent1[0]: (59) {G0,W2,D2,L1,V0,M1} I { function( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 subsumption: (82) {G1,W3,D3,L1,V0,M1} R(4,58);r(59) { relation(
% 43.54/43.94 function_inverse( skol12 ) ) }.
% 43.54/43.94 parent0: (58650) {G1,W3,D3,L1,V0,M1} { relation( function_inverse( skol12
% 43.54/43.94 ) ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 permutation0:
% 43.54/43.94 0 ==> 0
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 resolution: (58651) {G1,W5,D3,L2,V0,M2} { ! function( skol12 ), function(
% 43.54/43.94 function_inverse( skol12 ) ) }.
% 43.54/43.94 parent0[0]: (5) {G0,W7,D3,L3,V1,M3} I { ! relation( X ), ! function( X ),
% 43.54/43.94 function( function_inverse( X ) ) }.
% 43.54/43.94 parent1[0]: (58) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 X := skol12
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 resolution: (58652) {G1,W3,D3,L1,V0,M1} { function( function_inverse(
% 43.54/43.94 skol12 ) ) }.
% 43.54/43.94 parent0[0]: (58651) {G1,W5,D3,L2,V0,M2} { ! function( skol12 ), function(
% 43.54/43.94 function_inverse( skol12 ) ) }.
% 43.54/43.94 parent1[0]: (59) {G0,W2,D2,L1,V0,M1} I { function( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 subsumption: (95) {G1,W3,D3,L1,V0,M1} R(5,58);r(59) { function(
% 43.54/43.94 function_inverse( skol12 ) ) }.
% 43.54/43.94 parent0: (58652) {G1,W3,D3,L1,V0,M1} { function( function_inverse( skol12
% 43.54/43.94 ) ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 permutation0:
% 43.54/43.94 0 ==> 0
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 eqswap: (58653) {G0,W12,D4,L4,V1,M4} { relation_rng( X ) ==> relation_dom
% 43.54/43.94 ( function_inverse( X ) ), ! relation( X ), ! function( X ), ! one_to_one
% 43.54/43.94 ( X ) }.
% 43.54/43.94 parent0[3]: (51) {G0,W12,D4,L4,V1,M4} I { ! relation( X ), ! function( X )
% 43.54/43.94 , ! one_to_one( X ), relation_dom( function_inverse( X ) ) ==>
% 43.54/43.94 relation_rng( X ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 X := X
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 resolution: (58654) {G1,W10,D4,L3,V0,M3} { relation_rng( skol12 ) ==>
% 43.54/43.94 relation_dom( function_inverse( skol12 ) ), ! function( skol12 ), !
% 43.54/43.94 one_to_one( skol12 ) }.
% 43.54/43.94 parent0[1]: (58653) {G0,W12,D4,L4,V1,M4} { relation_rng( X ) ==>
% 43.54/43.94 relation_dom( function_inverse( X ) ), ! relation( X ), ! function( X ),
% 43.54/43.94 ! one_to_one( X ) }.
% 43.54/43.94 parent1[0]: (58) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 X := skol12
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 resolution: (58655) {G1,W8,D4,L2,V0,M2} { relation_rng( skol12 ) ==>
% 43.54/43.94 relation_dom( function_inverse( skol12 ) ), ! one_to_one( skol12 ) }.
% 43.54/43.94 parent0[1]: (58654) {G1,W10,D4,L3,V0,M3} { relation_rng( skol12 ) ==>
% 43.54/43.94 relation_dom( function_inverse( skol12 ) ), ! function( skol12 ), !
% 43.54/43.94 one_to_one( skol12 ) }.
% 43.54/43.94 parent1[0]: (59) {G0,W2,D2,L1,V0,M1} I { function( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 eqswap: (58656) {G1,W8,D4,L2,V0,M2} { relation_dom( function_inverse(
% 43.54/43.94 skol12 ) ) ==> relation_rng( skol12 ), ! one_to_one( skol12 ) }.
% 43.54/43.94 parent0[0]: (58655) {G1,W8,D4,L2,V0,M2} { relation_rng( skol12 ) ==>
% 43.54/43.94 relation_dom( function_inverse( skol12 ) ), ! one_to_one( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 subsumption: (959) {G1,W8,D4,L2,V0,M2} R(51,58);r(59) { ! one_to_one(
% 43.54/43.94 skol12 ), relation_dom( function_inverse( skol12 ) ) ==> relation_rng(
% 43.54/43.94 skol12 ) }.
% 43.54/43.94 parent0: (58656) {G1,W8,D4,L2,V0,M2} { relation_dom( function_inverse(
% 43.54/43.94 skol12 ) ) ==> relation_rng( skol12 ), ! one_to_one( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 permutation0:
% 43.54/43.94 0 ==> 1
% 43.54/43.94 1 ==> 0
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 eqswap: (58657) {G0,W12,D4,L4,V1,M4} { relation_dom( X ) ==> relation_rng
% 43.54/43.94 ( function_inverse( X ) ), ! relation( X ), ! function( X ), ! one_to_one
% 43.54/43.94 ( X ) }.
% 43.54/43.94 parent0[3]: (52) {G0,W12,D4,L4,V1,M4} I { ! relation( X ), ! function( X )
% 43.54/43.94 , ! one_to_one( X ), relation_rng( function_inverse( X ) ) ==>
% 43.54/43.94 relation_dom( X ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 X := X
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 resolution: (58658) {G1,W10,D4,L3,V0,M3} { relation_dom( skol12 ) ==>
% 43.54/43.94 relation_rng( function_inverse( skol12 ) ), ! function( skol12 ), !
% 43.54/43.94 one_to_one( skol12 ) }.
% 43.54/43.94 parent0[1]: (58657) {G0,W12,D4,L4,V1,M4} { relation_dom( X ) ==>
% 43.54/43.94 relation_rng( function_inverse( X ) ), ! relation( X ), ! function( X ),
% 43.54/43.94 ! one_to_one( X ) }.
% 43.54/43.94 parent1[0]: (58) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 X := skol12
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 resolution: (58659) {G1,W8,D4,L2,V0,M2} { relation_dom( skol12 ) ==>
% 43.54/43.94 relation_rng( function_inverse( skol12 ) ), ! one_to_one( skol12 ) }.
% 43.54/43.94 parent0[1]: (58658) {G1,W10,D4,L3,V0,M3} { relation_dom( skol12 ) ==>
% 43.54/43.94 relation_rng( function_inverse( skol12 ) ), ! function( skol12 ), !
% 43.54/43.94 one_to_one( skol12 ) }.
% 43.54/43.94 parent1[0]: (59) {G0,W2,D2,L1,V0,M1} I { function( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 eqswap: (58660) {G1,W8,D4,L2,V0,M2} { relation_rng( function_inverse(
% 43.54/43.94 skol12 ) ) ==> relation_dom( skol12 ), ! one_to_one( skol12 ) }.
% 43.54/43.94 parent0[0]: (58659) {G1,W8,D4,L2,V0,M2} { relation_dom( skol12 ) ==>
% 43.54/43.94 relation_rng( function_inverse( skol12 ) ), ! one_to_one( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 subsumption: (1052) {G1,W8,D4,L2,V0,M2} R(52,58);r(59) { ! one_to_one(
% 43.54/43.94 skol12 ), relation_rng( function_inverse( skol12 ) ) ==> relation_dom(
% 43.54/43.94 skol12 ) }.
% 43.54/43.94 parent0: (58660) {G1,W8,D4,L2,V0,M2} { relation_rng( function_inverse(
% 43.54/43.94 skol12 ) ) ==> relation_dom( skol12 ), ! one_to_one( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 permutation0:
% 43.54/43.94 0 ==> 1
% 43.54/43.94 1 ==> 0
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 eqswap: (58661) {G0,W14,D4,L4,V1,M4} { identity_relation( relation_rng( X
% 43.54/43.94 ) ) ==> relation_composition( function_inverse( X ), X ), ! relation( X
% 43.54/43.94 ), ! function( X ), ! one_to_one( X ) }.
% 43.54/43.94 parent0[3]: (55) {G0,W14,D4,L4,V1,M4} I { ! relation( X ), ! function( X )
% 43.54/43.94 , ! one_to_one( X ), relation_composition( function_inverse( X ), X ) ==>
% 43.54/43.94 identity_relation( relation_rng( X ) ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 X := X
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 resolution: (58662) {G1,W12,D4,L3,V0,M3} { identity_relation( relation_rng
% 43.54/43.94 ( skol12 ) ) ==> relation_composition( function_inverse( skol12 ), skol12
% 43.54/43.94 ), ! function( skol12 ), ! one_to_one( skol12 ) }.
% 43.54/43.94 parent0[1]: (58661) {G0,W14,D4,L4,V1,M4} { identity_relation( relation_rng
% 43.54/43.94 ( X ) ) ==> relation_composition( function_inverse( X ), X ), ! relation
% 43.54/43.94 ( X ), ! function( X ), ! one_to_one( X ) }.
% 43.54/43.94 parent1[0]: (58) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 X := skol12
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 resolution: (58663) {G1,W10,D4,L2,V0,M2} { identity_relation( relation_rng
% 43.54/43.94 ( skol12 ) ) ==> relation_composition( function_inverse( skol12 ), skol12
% 43.54/43.94 ), ! one_to_one( skol12 ) }.
% 43.54/43.94 parent0[1]: (58662) {G1,W12,D4,L3,V0,M3} { identity_relation( relation_rng
% 43.54/43.94 ( skol12 ) ) ==> relation_composition( function_inverse( skol12 ), skol12
% 43.54/43.94 ), ! function( skol12 ), ! one_to_one( skol12 ) }.
% 43.54/43.94 parent1[0]: (59) {G0,W2,D2,L1,V0,M1} I { function( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 eqswap: (58664) {G1,W10,D4,L2,V0,M2} { relation_composition(
% 43.54/43.94 function_inverse( skol12 ), skol12 ) ==> identity_relation( relation_rng
% 43.54/43.94 ( skol12 ) ), ! one_to_one( skol12 ) }.
% 43.54/43.94 parent0[0]: (58663) {G1,W10,D4,L2,V0,M2} { identity_relation( relation_rng
% 43.54/43.94 ( skol12 ) ) ==> relation_composition( function_inverse( skol12 ), skol12
% 43.54/43.94 ), ! one_to_one( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 subsumption: (1266) {G1,W10,D4,L2,V0,M2} R(55,58);r(59) { ! one_to_one(
% 43.54/43.94 skol12 ), relation_composition( function_inverse( skol12 ), skol12 ) ==>
% 43.54/43.94 identity_relation( relation_rng( skol12 ) ) }.
% 43.54/43.94 parent0: (58664) {G1,W10,D4,L2,V0,M2} { relation_composition(
% 43.54/43.94 function_inverse( skol12 ), skol12 ) ==> identity_relation( relation_rng
% 43.54/43.94 ( skol12 ) ), ! one_to_one( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 permutation0:
% 43.54/43.94 0 ==> 1
% 43.54/43.94 1 ==> 0
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 resolution: (58665) {G1,W7,D3,L3,V0,M3} { ! function( skol12 ), !
% 43.54/43.94 one_to_one( skol12 ), one_to_one( function_inverse( skol12 ) ) }.
% 43.54/43.94 parent0[0]: (56) {G0,W9,D3,L4,V1,M4} I { ! relation( X ), ! function( X ),
% 43.54/43.94 ! one_to_one( X ), one_to_one( function_inverse( X ) ) }.
% 43.54/43.94 parent1[0]: (58) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 X := skol12
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 resolution: (58666) {G1,W5,D3,L2,V0,M2} { ! one_to_one( skol12 ),
% 43.54/43.94 one_to_one( function_inverse( skol12 ) ) }.
% 43.54/43.94 parent0[0]: (58665) {G1,W7,D3,L3,V0,M3} { ! function( skol12 ), !
% 43.54/43.94 one_to_one( skol12 ), one_to_one( function_inverse( skol12 ) ) }.
% 43.54/43.94 parent1[0]: (59) {G0,W2,D2,L1,V0,M1} I { function( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 subsumption: (1374) {G1,W5,D3,L2,V0,M2} R(56,58);r(59) { ! one_to_one(
% 43.54/43.94 skol12 ), one_to_one( function_inverse( skol12 ) ) }.
% 43.54/43.94 parent0: (58666) {G1,W5,D3,L2,V0,M2} { ! one_to_one( skol12 ), one_to_one
% 43.54/43.94 ( function_inverse( skol12 ) ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 permutation0:
% 43.54/43.94 0 ==> 0
% 43.54/43.94 1 ==> 1
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 eqswap: (58667) {G0,W26,D4,L8,V2,M8} { ! relation_dom( Y ) = relation_rng
% 43.54/43.94 ( X ), ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y )
% 43.54/43.94 , ! one_to_one( X ), ! relation_composition( X, Y ) = identity_relation(
% 43.54/43.94 relation_dom( X ) ), Y = function_inverse( X ) }.
% 43.54/43.94 parent0[5]: (57) {G0,W26,D4,L8,V2,M8} I { ! relation( X ), ! function( X )
% 43.54/43.94 , ! relation( Y ), ! function( Y ), ! one_to_one( X ), ! relation_rng( X
% 43.54/43.94 ) = relation_dom( Y ), ! relation_composition( X, Y ) =
% 43.54/43.94 identity_relation( relation_dom( X ) ), Y = function_inverse( X ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 X := X
% 43.54/43.94 Y := Y
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 resolution: (58675) {G1,W24,D4,L7,V1,M7} { ! relation_dom( skol12 ) =
% 43.54/43.94 relation_rng( X ), ! relation( X ), ! function( X ), ! function( skol12 )
% 43.54/43.94 , ! one_to_one( X ), ! relation_composition( X, skol12 ) =
% 43.54/43.94 identity_relation( relation_dom( X ) ), skol12 = function_inverse( X )
% 43.54/43.94 }.
% 43.54/43.94 parent0[3]: (58667) {G0,W26,D4,L8,V2,M8} { ! relation_dom( Y ) =
% 43.54/43.94 relation_rng( X ), ! relation( X ), ! function( X ), ! relation( Y ), !
% 43.54/43.94 function( Y ), ! one_to_one( X ), ! relation_composition( X, Y ) =
% 43.54/43.94 identity_relation( relation_dom( X ) ), Y = function_inverse( X ) }.
% 43.54/43.94 parent1[0]: (58) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 X := X
% 43.54/43.94 Y := skol12
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 resolution: (58693) {G1,W22,D4,L6,V1,M6} { ! relation_dom( skol12 ) =
% 43.54/43.94 relation_rng( X ), ! relation( X ), ! function( X ), ! one_to_one( X ), !
% 43.54/43.94 relation_composition( X, skol12 ) = identity_relation( relation_dom( X )
% 43.54/43.94 ), skol12 = function_inverse( X ) }.
% 43.54/43.94 parent0[3]: (58675) {G1,W24,D4,L7,V1,M7} { ! relation_dom( skol12 ) =
% 43.54/43.94 relation_rng( X ), ! relation( X ), ! function( X ), ! function( skol12 )
% 43.54/43.94 , ! one_to_one( X ), ! relation_composition( X, skol12 ) =
% 43.54/43.94 identity_relation( relation_dom( X ) ), skol12 = function_inverse( X )
% 43.54/43.94 }.
% 43.54/43.94 parent1[0]: (59) {G0,W2,D2,L1,V0,M1} I { function( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 X := X
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 eqswap: (58696) {G1,W22,D4,L6,V1,M6} { function_inverse( X ) = skol12, !
% 43.54/43.94 relation_dom( skol12 ) = relation_rng( X ), ! relation( X ), ! function(
% 43.54/43.94 X ), ! one_to_one( X ), ! relation_composition( X, skol12 ) =
% 43.54/43.94 identity_relation( relation_dom( X ) ) }.
% 43.54/43.94 parent0[5]: (58693) {G1,W22,D4,L6,V1,M6} { ! relation_dom( skol12 ) =
% 43.54/43.94 relation_rng( X ), ! relation( X ), ! function( X ), ! one_to_one( X ), !
% 43.54/43.94 relation_composition( X, skol12 ) = identity_relation( relation_dom( X )
% 43.54/43.94 ), skol12 = function_inverse( X ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 X := X
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 eqswap: (58697) {G1,W22,D4,L6,V1,M6} { ! relation_rng( X ) = relation_dom
% 43.54/43.94 ( skol12 ), function_inverse( X ) = skol12, ! relation( X ), ! function(
% 43.54/43.94 X ), ! one_to_one( X ), ! relation_composition( X, skol12 ) =
% 43.54/43.94 identity_relation( relation_dom( X ) ) }.
% 43.54/43.94 parent0[1]: (58696) {G1,W22,D4,L6,V1,M6} { function_inverse( X ) = skol12
% 43.54/43.94 , ! relation_dom( skol12 ) = relation_rng( X ), ! relation( X ), !
% 43.54/43.94 function( X ), ! one_to_one( X ), ! relation_composition( X, skol12 ) =
% 43.54/43.94 identity_relation( relation_dom( X ) ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 X := X
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 subsumption: (1434) {G1,W22,D4,L6,V1,M6} R(57,58);r(59) { ! relation( X ),
% 43.54/43.94 ! function( X ), ! one_to_one( X ), ! relation_rng( X ) = relation_dom(
% 43.54/43.94 skol12 ), ! relation_composition( X, skol12 ) ==> identity_relation(
% 43.54/43.94 relation_dom( X ) ), function_inverse( X ) ==> skol12 }.
% 43.54/43.94 parent0: (58697) {G1,W22,D4,L6,V1,M6} { ! relation_rng( X ) = relation_dom
% 43.54/43.94 ( skol12 ), function_inverse( X ) = skol12, ! relation( X ), ! function(
% 43.54/43.94 X ), ! one_to_one( X ), ! relation_composition( X, skol12 ) =
% 43.54/43.94 identity_relation( relation_dom( X ) ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 X := X
% 43.54/43.94 end
% 43.54/43.94 permutation0:
% 43.54/43.94 0 ==> 3
% 43.54/43.94 1 ==> 5
% 43.54/43.94 2 ==> 0
% 43.54/43.94 3 ==> 1
% 43.54/43.94 4 ==> 2
% 43.54/43.94 5 ==> 4
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 resolution: (58701) {G1,W3,D3,L1,V0,M1} { one_to_one( function_inverse(
% 43.54/43.94 skol12 ) ) }.
% 43.54/43.94 parent0[0]: (1374) {G1,W5,D3,L2,V0,M2} R(56,58);r(59) { ! one_to_one(
% 43.54/43.94 skol12 ), one_to_one( function_inverse( skol12 ) ) }.
% 43.54/43.94 parent1[0]: (60) {G0,W2,D2,L1,V0,M1} I { one_to_one( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 subsumption: (3627) {G2,W3,D3,L1,V0,M1} S(1374);r(60) { one_to_one(
% 43.54/43.94 function_inverse( skol12 ) ) }.
% 43.54/43.94 parent0: (58701) {G1,W3,D3,L1,V0,M1} { one_to_one( function_inverse(
% 43.54/43.94 skol12 ) ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 permutation0:
% 43.54/43.94 0 ==> 0
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 resolution: (58703) {G1,W8,D4,L1,V0,M1} { relation_composition(
% 43.54/43.94 function_inverse( skol12 ), skol12 ) ==> identity_relation( relation_rng
% 43.54/43.94 ( skol12 ) ) }.
% 43.54/43.94 parent0[0]: (1266) {G1,W10,D4,L2,V0,M2} R(55,58);r(59) { ! one_to_one(
% 43.54/43.94 skol12 ), relation_composition( function_inverse( skol12 ), skol12 ) ==>
% 43.54/43.94 identity_relation( relation_rng( skol12 ) ) }.
% 43.54/43.94 parent1[0]: (60) {G0,W2,D2,L1,V0,M1} I { one_to_one( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 subsumption: (20156) {G2,W8,D4,L1,V0,M1} S(1266);r(60) {
% 43.54/43.94 relation_composition( function_inverse( skol12 ), skol12 ) ==>
% 43.54/43.94 identity_relation( relation_rng( skol12 ) ) }.
% 43.54/43.94 parent0: (58703) {G1,W8,D4,L1,V0,M1} { relation_composition(
% 43.54/43.94 function_inverse( skol12 ), skol12 ) ==> identity_relation( relation_rng
% 43.54/43.94 ( skol12 ) ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 permutation0:
% 43.54/43.94 0 ==> 0
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 resolution: (58706) {G1,W6,D4,L1,V0,M1} { relation_rng( function_inverse(
% 43.54/43.94 skol12 ) ) ==> relation_dom( skol12 ) }.
% 43.54/43.94 parent0[0]: (1052) {G1,W8,D4,L2,V0,M2} R(52,58);r(59) { ! one_to_one(
% 43.54/43.94 skol12 ), relation_rng( function_inverse( skol12 ) ) ==> relation_dom(
% 43.54/43.94 skol12 ) }.
% 43.54/43.94 parent1[0]: (60) {G0,W2,D2,L1,V0,M1} I { one_to_one( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 subsumption: (20161) {G2,W6,D4,L1,V0,M1} S(1052);r(60) { relation_rng(
% 43.54/43.94 function_inverse( skol12 ) ) ==> relation_dom( skol12 ) }.
% 43.54/43.94 parent0: (58706) {G1,W6,D4,L1,V0,M1} { relation_rng( function_inverse(
% 43.54/43.94 skol12 ) ) ==> relation_dom( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 permutation0:
% 43.54/43.94 0 ==> 0
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 resolution: (58709) {G1,W6,D4,L1,V0,M1} { relation_dom( function_inverse(
% 43.54/43.94 skol12 ) ) ==> relation_rng( skol12 ) }.
% 43.54/43.94 parent0[0]: (959) {G1,W8,D4,L2,V0,M2} R(51,58);r(59) { ! one_to_one( skol12
% 43.54/43.94 ), relation_dom( function_inverse( skol12 ) ) ==> relation_rng( skol12 )
% 43.54/43.94 }.
% 43.54/43.94 parent1[0]: (60) {G0,W2,D2,L1,V0,M1} I { one_to_one( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 subsumption: (20165) {G2,W6,D4,L1,V0,M1} S(959);r(60) { relation_dom(
% 43.54/43.94 function_inverse( skol12 ) ) ==> relation_rng( skol12 ) }.
% 43.54/43.94 parent0: (58709) {G1,W6,D4,L1,V0,M1} { relation_dom( function_inverse(
% 43.54/43.94 skol12 ) ) ==> relation_rng( skol12 ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 permutation0:
% 43.54/43.94 0 ==> 0
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 eqswap: (58711) {G1,W22,D4,L6,V1,M6} { ! relation_dom( skol12 ) =
% 43.54/43.94 relation_rng( X ), ! relation( X ), ! function( X ), ! one_to_one( X ), !
% 43.54/43.94 relation_composition( X, skol12 ) ==> identity_relation( relation_dom( X
% 43.54/43.94 ) ), function_inverse( X ) ==> skol12 }.
% 43.54/43.94 parent0[3]: (1434) {G1,W22,D4,L6,V1,M6} R(57,58);r(59) { ! relation( X ), !
% 43.54/43.94 function( X ), ! one_to_one( X ), ! relation_rng( X ) = relation_dom(
% 43.54/43.94 skol12 ), ! relation_composition( X, skol12 ) ==> identity_relation(
% 43.54/43.94 relation_dom( X ) ), function_inverse( X ) ==> skol12 }.
% 43.54/43.94 substitution0:
% 43.54/43.94 X := X
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 resolution: (58722) {G1,W24,D5,L5,V0,M5} { ! relation_dom( skol12 ) =
% 43.54/43.94 relation_rng( function_inverse( skol12 ) ), ! relation( function_inverse
% 43.54/43.94 ( skol12 ) ), ! function( function_inverse( skol12 ) ), ! one_to_one(
% 43.54/43.94 function_inverse( skol12 ) ), ! relation_composition( function_inverse(
% 43.54/43.94 skol12 ), skol12 ) ==> identity_relation( relation_dom( function_inverse
% 43.54/43.94 ( skol12 ) ) ) }.
% 43.54/43.94 parent0[0]: (61) {G0,W5,D4,L1,V0,M1} I { ! function_inverse(
% 43.54/43.94 function_inverse( skol12 ) ) ==> skol12 }.
% 43.54/43.94 parent1[5]: (58711) {G1,W22,D4,L6,V1,M6} { ! relation_dom( skol12 ) =
% 43.54/43.94 relation_rng( X ), ! relation( X ), ! function( X ), ! one_to_one( X ), !
% 43.54/43.94 relation_composition( X, skol12 ) ==> identity_relation( relation_dom( X
% 43.54/43.94 ) ), function_inverse( X ) ==> skol12 }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 X := function_inverse( skol12 )
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 paramod: (58723) {G2,W23,D5,L5,V0,M5} { ! relation_dom( skol12 ) =
% 43.54/43.94 relation_dom( skol12 ), ! relation( function_inverse( skol12 ) ), !
% 43.54/43.94 function( function_inverse( skol12 ) ), ! one_to_one( function_inverse(
% 43.54/43.94 skol12 ) ), ! relation_composition( function_inverse( skol12 ), skol12 )
% 43.54/43.94 ==> identity_relation( relation_dom( function_inverse( skol12 ) ) ) }.
% 43.54/43.94 parent0[0]: (20161) {G2,W6,D4,L1,V0,M1} S(1052);r(60) { relation_rng(
% 43.54/43.94 function_inverse( skol12 ) ) ==> relation_dom( skol12 ) }.
% 43.54/43.94 parent1[0; 4]: (58722) {G1,W24,D5,L5,V0,M5} { ! relation_dom( skol12 ) =
% 43.54/43.94 relation_rng( function_inverse( skol12 ) ), ! relation( function_inverse
% 43.54/43.94 ( skol12 ) ), ! function( function_inverse( skol12 ) ), ! one_to_one(
% 43.54/43.94 function_inverse( skol12 ) ), ! relation_composition( function_inverse(
% 43.54/43.94 skol12 ), skol12 ) ==> identity_relation( relation_dom( function_inverse
% 43.54/43.94 ( skol12 ) ) ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 paramod: (58724) {G3,W22,D5,L5,V0,M5} { ! identity_relation( relation_rng
% 43.54/43.94 ( skol12 ) ) ==> identity_relation( relation_dom( function_inverse(
% 43.54/43.94 skol12 ) ) ), ! relation_dom( skol12 ) = relation_dom( skol12 ), !
% 43.54/43.94 relation( function_inverse( skol12 ) ), ! function( function_inverse(
% 43.54/43.94 skol12 ) ), ! one_to_one( function_inverse( skol12 ) ) }.
% 43.54/43.94 parent0[0]: (20156) {G2,W8,D4,L1,V0,M1} S(1266);r(60) {
% 43.54/43.94 relation_composition( function_inverse( skol12 ), skol12 ) ==>
% 43.54/43.94 identity_relation( relation_rng( skol12 ) ) }.
% 43.54/43.94 parent1[4; 2]: (58723) {G2,W23,D5,L5,V0,M5} { ! relation_dom( skol12 ) =
% 43.54/43.94 relation_dom( skol12 ), ! relation( function_inverse( skol12 ) ), !
% 43.54/43.94 function( function_inverse( skol12 ) ), ! one_to_one( function_inverse(
% 43.54/43.94 skol12 ) ), ! relation_composition( function_inverse( skol12 ), skol12 )
% 43.54/43.94 ==> identity_relation( relation_dom( function_inverse( skol12 ) ) ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 paramod: (58725) {G3,W21,D4,L5,V0,M5} { ! identity_relation( relation_rng
% 43.54/43.94 ( skol12 ) ) ==> identity_relation( relation_rng( skol12 ) ), !
% 43.54/43.94 relation_dom( skol12 ) = relation_dom( skol12 ), ! relation(
% 43.54/43.94 function_inverse( skol12 ) ), ! function( function_inverse( skol12 ) ), !
% 43.54/43.94 one_to_one( function_inverse( skol12 ) ) }.
% 43.54/43.94 parent0[0]: (20165) {G2,W6,D4,L1,V0,M1} S(959);r(60) { relation_dom(
% 43.54/43.94 function_inverse( skol12 ) ) ==> relation_rng( skol12 ) }.
% 43.54/43.94 parent1[0; 6]: (58724) {G3,W22,D5,L5,V0,M5} { ! identity_relation(
% 43.54/43.94 relation_rng( skol12 ) ) ==> identity_relation( relation_dom(
% 43.54/43.94 function_inverse( skol12 ) ) ), ! relation_dom( skol12 ) = relation_dom(
% 43.54/43.94 skol12 ), ! relation( function_inverse( skol12 ) ), ! function(
% 43.54/43.94 function_inverse( skol12 ) ), ! one_to_one( function_inverse( skol12 ) )
% 43.54/43.94 }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 eqrefl: (58726) {G0,W14,D3,L4,V0,M4} { ! relation_dom( skol12 ) =
% 43.54/43.94 relation_dom( skol12 ), ! relation( function_inverse( skol12 ) ), !
% 43.54/43.94 function( function_inverse( skol12 ) ), ! one_to_one( function_inverse(
% 43.54/43.94 skol12 ) ) }.
% 43.54/43.94 parent0[0]: (58725) {G3,W21,D4,L5,V0,M5} { ! identity_relation(
% 43.54/43.94 relation_rng( skol12 ) ) ==> identity_relation( relation_rng( skol12 ) )
% 43.54/43.94 , ! relation_dom( skol12 ) = relation_dom( skol12 ), ! relation(
% 43.54/43.94 function_inverse( skol12 ) ), ! function( function_inverse( skol12 ) ), !
% 43.54/43.94 one_to_one( function_inverse( skol12 ) ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 eqrefl: (58728) {G0,W9,D3,L3,V0,M3} { ! relation( function_inverse( skol12
% 43.54/43.94 ) ), ! function( function_inverse( skol12 ) ), ! one_to_one(
% 43.54/43.94 function_inverse( skol12 ) ) }.
% 43.54/43.94 parent0[0]: (58726) {G0,W14,D3,L4,V0,M4} { ! relation_dom( skol12 ) =
% 43.54/43.94 relation_dom( skol12 ), ! relation( function_inverse( skol12 ) ), !
% 43.54/43.94 function( function_inverse( skol12 ) ), ! one_to_one( function_inverse(
% 43.54/43.94 skol12 ) ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 resolution: (58729) {G1,W6,D3,L2,V0,M2} { ! function( function_inverse(
% 43.54/43.94 skol12 ) ), ! one_to_one( function_inverse( skol12 ) ) }.
% 43.54/43.94 parent0[0]: (58728) {G0,W9,D3,L3,V0,M3} { ! relation( function_inverse(
% 43.54/43.94 skol12 ) ), ! function( function_inverse( skol12 ) ), ! one_to_one(
% 43.54/43.94 function_inverse( skol12 ) ) }.
% 43.54/43.94 parent1[0]: (82) {G1,W3,D3,L1,V0,M1} R(4,58);r(59) { relation(
% 43.54/43.94 function_inverse( skol12 ) ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 subsumption: (58366) {G3,W6,D3,L2,V0,M2} R(1434,61);d(20161);d(20156);d(
% 43.54/43.94 20165);q;q;r(82) { ! function( function_inverse( skol12 ) ), ! one_to_one
% 43.54/43.94 ( function_inverse( skol12 ) ) }.
% 43.54/43.94 parent0: (58729) {G1,W6,D3,L2,V0,M2} { ! function( function_inverse(
% 43.54/43.94 skol12 ) ), ! one_to_one( function_inverse( skol12 ) ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 permutation0:
% 43.54/43.94 0 ==> 0
% 43.54/43.94 1 ==> 1
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 resolution: (58730) {G2,W3,D3,L1,V0,M1} { ! one_to_one( function_inverse(
% 43.54/43.94 skol12 ) ) }.
% 43.54/43.94 parent0[0]: (58366) {G3,W6,D3,L2,V0,M2} R(1434,61);d(20161);d(20156);d(
% 43.54/43.94 20165);q;q;r(82) { ! function( function_inverse( skol12 ) ), ! one_to_one
% 43.54/43.94 ( function_inverse( skol12 ) ) }.
% 43.54/43.94 parent1[0]: (95) {G1,W3,D3,L1,V0,M1} R(5,58);r(59) { function(
% 43.54/43.94 function_inverse( skol12 ) ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 resolution: (58731) {G3,W0,D0,L0,V0,M0} { }.
% 43.54/43.94 parent0[0]: (58730) {G2,W3,D3,L1,V0,M1} { ! one_to_one( function_inverse(
% 43.54/43.94 skol12 ) ) }.
% 43.54/43.94 parent1[0]: (3627) {G2,W3,D3,L1,V0,M1} S(1374);r(60) { one_to_one(
% 43.54/43.94 function_inverse( skol12 ) ) }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 substitution1:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 subsumption: (58372) {G4,W0,D0,L0,V0,M0} S(58366);r(95);r(3627) { }.
% 43.54/43.94 parent0: (58731) {G3,W0,D0,L0,V0,M0} { }.
% 43.54/43.94 substitution0:
% 43.54/43.94 end
% 43.54/43.94 permutation0:
% 43.54/43.94 end
% 43.54/43.94
% 43.54/43.94 Proof check complete!
% 43.54/43.94
% 43.54/43.94 Memory use:
% 43.54/43.94
% 43.54/43.94 space for terms: 712022
% 43.54/43.94 space for clauses: 2918245
% 43.54/43.94
% 43.54/43.94
% 43.54/43.94 clauses generated: 236512
% 43.54/43.94 clauses kept: 58373
% 43.54/43.94 clauses selected: 1490
% 43.54/43.94 clauses deleted: 9814
% 43.54/43.94 clauses inuse deleted: 339
% 43.54/43.94
% 43.54/43.94 subsentry: 478855
% 43.54/43.94 literals s-matched: 200547
% 43.54/43.94 literals matched: 193650
% 43.54/43.94 full subsumption: 43368
% 43.54/43.94
% 43.54/43.94 checksum: 69918313
% 43.54/43.94
% 43.54/43.94
% 43.54/43.94 Bliksem ended
%------------------------------------------------------------------------------