TSTP Solution File: SEU215+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU215+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 07:11:28 EDT 2022
% Result : Theorem 94.33s 94.71s
% Output : Refutation 94.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU215+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 20 07:26:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 5.44/5.84 *** allocated 10000 integers for termspace/termends
% 5.44/5.84 *** allocated 10000 integers for clauses
% 5.44/5.84 *** allocated 10000 integers for justifications
% 5.44/5.84 Bliksem 1.12
% 5.44/5.84
% 5.44/5.84
% 5.44/5.84 Automatic Strategy Selection
% 5.44/5.84
% 5.44/5.84
% 5.44/5.84 Clauses:
% 5.44/5.84
% 5.44/5.84 { ! in( X, Y ), ! in( Y, X ) }.
% 5.44/5.84 { ! empty( X ), function( X ) }.
% 5.44/5.84 { ! empty( X ), relation( X ) }.
% 5.44/5.84 { unordered_pair( X, Y ) = unordered_pair( Y, X ) }.
% 5.44/5.84 { ! relation( X ), ! function( X ), ! in( Y, relation_dom( X ) ), ! Z =
% 5.44/5.84 apply( X, Y ), in( ordered_pair( Y, Z ), X ) }.
% 5.44/5.84 { ! relation( X ), ! function( X ), ! in( Y, relation_dom( X ) ), ! in(
% 5.44/5.84 ordered_pair( Y, Z ), X ), Z = apply( X, Y ) }.
% 5.44/5.84 { ! relation( X ), ! function( X ), in( Y, relation_dom( X ) ), ! Z = apply
% 5.44/5.84 ( X, Y ), Z = empty_set }.
% 5.44/5.84 { ! relation( X ), ! function( X ), in( Y, relation_dom( X ) ), ! Z =
% 5.44/5.84 empty_set, Z = apply( X, Y ) }.
% 5.44/5.84 { ordered_pair( X, Y ) = unordered_pair( unordered_pair( X, Y ), singleton
% 5.44/5.84 ( X ) ) }.
% 5.44/5.84 { && }.
% 5.44/5.84 { && }.
% 5.44/5.84 { && }.
% 5.44/5.84 { && }.
% 5.44/5.84 { && }.
% 5.44/5.84 { && }.
% 5.44/5.84 { ! relation( X ), ! relation( Y ), relation( relation_composition( X, Y )
% 5.44/5.84 ) }.
% 5.44/5.84 { && }.
% 5.44/5.84 { element( skol1( X ), X ) }.
% 5.44/5.84 { ! empty( X ), ! relation( Y ), empty( relation_composition( Y, X ) ) }.
% 5.44/5.84 { ! empty( X ), ! relation( Y ), relation( relation_composition( Y, X ) ) }
% 5.44/5.84 .
% 5.44/5.84 { empty( empty_set ) }.
% 5.44/5.84 { relation( empty_set ) }.
% 5.44/5.84 { relation_empty_yielding( empty_set ) }.
% 5.44/5.84 { ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y ),
% 5.44/5.84 relation( relation_composition( X, Y ) ) }.
% 5.44/5.84 { ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y ),
% 5.44/5.84 function( relation_composition( X, Y ) ) }.
% 5.44/5.84 { empty( empty_set ) }.
% 5.44/5.84 { ! empty( ordered_pair( X, Y ) ) }.
% 5.44/5.84 { ! empty( singleton( X ) ) }.
% 5.44/5.84 { ! empty( unordered_pair( X, Y ) ) }.
% 5.44/5.84 { empty( empty_set ) }.
% 5.44/5.84 { relation( empty_set ) }.
% 5.44/5.84 { empty( X ), ! relation( X ), ! empty( relation_dom( X ) ) }.
% 5.44/5.84 { ! empty( X ), empty( relation_dom( X ) ) }.
% 5.44/5.84 { ! empty( X ), relation( relation_dom( X ) ) }.
% 5.44/5.84 { ! empty( X ), ! relation( Y ), empty( relation_composition( X, Y ) ) }.
% 5.44/5.84 { ! empty( X ), ! relation( Y ), relation( relation_composition( X, Y ) ) }
% 5.44/5.84 .
% 5.44/5.84 { relation( skol2 ) }.
% 5.44/5.84 { function( skol2 ) }.
% 5.44/5.84 { empty( skol3 ) }.
% 5.44/5.84 { relation( skol3 ) }.
% 5.44/5.84 { empty( skol4 ) }.
% 5.44/5.84 { ! empty( skol5 ) }.
% 5.44/5.84 { relation( skol5 ) }.
% 5.44/5.84 { ! empty( skol6 ) }.
% 5.44/5.84 { relation( skol7 ) }.
% 5.44/5.84 { relation_empty_yielding( skol7 ) }.
% 5.44/5.84 { ! in( X, Y ), element( X, Y ) }.
% 5.44/5.84 { ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y ), ! in
% 5.44/5.84 ( Z, relation_dom( relation_composition( Y, X ) ) ), in( Z, relation_dom
% 5.44/5.84 ( Y ) ) }.
% 5.44/5.84 { ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y ), ! in
% 5.44/5.84 ( Z, relation_dom( relation_composition( Y, X ) ) ), in( apply( Y, Z ),
% 5.44/5.84 relation_dom( X ) ) }.
% 5.44/5.84 { ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y ), ! in
% 5.44/5.84 ( Z, relation_dom( Y ) ), ! in( apply( Y, Z ), relation_dom( X ) ), in( Z
% 5.44/5.84 , relation_dom( relation_composition( Y, X ) ) ) }.
% 5.44/5.84 { ! relation( X ), ! function( X ), ! relation( Y ), ! function( Y ), ! in
% 5.44/5.84 ( Z, relation_dom( relation_composition( Y, X ) ) ), apply(
% 5.44/5.84 relation_composition( Y, X ), Z ) = apply( X, apply( Y, Z ) ) }.
% 5.44/5.84 { relation( skol8 ) }.
% 5.44/5.84 { function( skol8 ) }.
% 5.44/5.84 { relation( skol9 ) }.
% 5.44/5.84 { function( skol9 ) }.
% 5.44/5.84 { in( skol10, relation_dom( skol8 ) ) }.
% 5.44/5.84 { ! apply( relation_composition( skol8, skol9 ), skol10 ) = apply( skol9,
% 5.44/5.84 apply( skol8, skol10 ) ) }.
% 5.44/5.84 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 5.44/5.84 { ! empty( X ), X = empty_set }.
% 5.44/5.84 { ! in( X, Y ), ! empty( Y ) }.
% 5.44/5.84 { ! empty( X ), X = Y, ! empty( Y ) }.
% 5.44/5.84
% 5.44/5.84 percentage equality = 0.103448, percentage horn = 0.941176
% 5.44/5.84 This is a problem with some equality
% 5.44/5.84
% 5.44/5.84
% 5.44/5.84
% 5.44/5.84 Options Used:
% 5.44/5.84
% 5.44/5.84 useres = 1
% 5.44/5.84 useparamod = 1
% 5.44/5.84 useeqrefl = 1
% 5.44/5.84 useeqfact = 1
% 5.44/5.84 usefactor = 1
% 5.44/5.84 usesimpsplitting = 0
% 5.44/5.84 usesimpdemod = 5
% 5.44/5.84 usesimpres = 3
% 5.44/5.84
% 5.44/5.84 resimpinuse = 1000
% 5.44/5.84 resimpclauses = 20000
% 5.44/5.84 substype = eqrewr
% 5.44/5.84 backwardsubs = 1
% 5.44/5.84 selectoldest = 5
% 5.44/5.84
% 5.44/5.84 litorderings [0] = split
% 5.44/5.84 litorderings [1] = extend the termordering, first sorting on arguments
% 5.44/5.84
% 5.44/5.84 termordering = kbo
% 5.44/5.84
% 5.44/5.84 litapriori = 0
% 5.44/5.84 termapriori = 1
% 5.44/5.84 litaposteriori = 0
% 5.44/5.84 termaposteriori = 0
% 5.44/5.84 demodaposteriori = 0
% 5.44/5.84 ordereqreflfact = 0
% 65.88/66.26
% 65.88/66.26 litselect = negord
% 65.88/66.26
% 65.88/66.26 maxweight = 15
% 65.88/66.26 maxdepth = 30000
% 65.88/66.26 maxlength = 115
% 65.88/66.26 maxnrvars = 195
% 65.88/66.26 excuselevel = 1
% 65.88/66.26 increasemaxweight = 1
% 65.88/66.26
% 65.88/66.26 maxselected = 10000000
% 65.88/66.26 maxnrclauses = 10000000
% 65.88/66.26
% 65.88/66.26 showgenerated = 0
% 65.88/66.26 showkept = 0
% 65.88/66.26 showselected = 0
% 65.88/66.26 showdeleted = 0
% 65.88/66.26 showresimp = 1
% 65.88/66.26 showstatus = 2000
% 65.88/66.26
% 65.88/66.26 prologoutput = 0
% 65.88/66.26 nrgoals = 5000000
% 65.88/66.26 totalproof = 1
% 65.88/66.26
% 65.88/66.26 Symbols occurring in the translation:
% 65.88/66.26
% 65.88/66.26 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 65.88/66.26 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 65.88/66.26 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 65.88/66.26 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 65.88/66.26 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 65.88/66.26 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 65.88/66.26 in [37, 2] (w:1, o:55, a:1, s:1, b:0),
% 65.88/66.26 empty [38, 1] (w:1, o:24, a:1, s:1, b:0),
% 65.88/66.26 function [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 65.88/66.26 relation [40, 1] (w:1, o:26, a:1, s:1, b:0),
% 65.88/66.26 unordered_pair [41, 2] (w:1, o:56, a:1, s:1, b:0),
% 65.88/66.26 relation_dom [43, 1] (w:1, o:27, a:1, s:1, b:0),
% 65.88/66.26 apply [44, 2] (w:1, o:57, a:1, s:1, b:0),
% 65.88/66.26 ordered_pair [45, 2] (w:1, o:58, a:1, s:1, b:0),
% 65.88/66.26 empty_set [46, 0] (w:1, o:9, a:1, s:1, b:0),
% 65.88/66.26 singleton [47, 1] (w:1, o:29, a:1, s:1, b:0),
% 65.88/66.26 relation_composition [48, 2] (w:1, o:59, a:1, s:1, b:0),
% 65.88/66.26 element [49, 2] (w:1, o:60, a:1, s:1, b:0),
% 65.88/66.26 relation_empty_yielding [50, 1] (w:1, o:28, a:1, s:1, b:0),
% 65.88/66.26 skol1 [51, 1] (w:1, o:30, a:1, s:1, b:1),
% 65.88/66.26 skol2 [52, 0] (w:1, o:11, a:1, s:1, b:1),
% 65.88/66.26 skol3 [53, 0] (w:1, o:12, a:1, s:1, b:1),
% 65.88/66.26 skol4 [54, 0] (w:1, o:13, a:1, s:1, b:1),
% 65.88/66.26 skol5 [55, 0] (w:1, o:14, a:1, s:1, b:1),
% 65.88/66.26 skol6 [56, 0] (w:1, o:15, a:1, s:1, b:1),
% 65.88/66.26 skol7 [57, 0] (w:1, o:16, a:1, s:1, b:1),
% 65.88/66.26 skol8 [58, 0] (w:1, o:17, a:1, s:1, b:1),
% 65.88/66.26 skol9 [59, 0] (w:1, o:18, a:1, s:1, b:1),
% 65.88/66.26 skol10 [60, 0] (w:1, o:10, a:1, s:1, b:1).
% 65.88/66.26
% 65.88/66.26
% 65.88/66.26 Starting Search:
% 65.88/66.26
% 65.88/66.26 *** allocated 15000 integers for clauses
% 65.88/66.26 *** allocated 22500 integers for clauses
% 65.88/66.26 *** allocated 33750 integers for clauses
% 65.88/66.26 *** allocated 15000 integers for termspace/termends
% 65.88/66.26 *** allocated 50625 integers for clauses
% 65.88/66.26 *** allocated 75937 integers for clauses
% 65.88/66.26 *** allocated 22500 integers for termspace/termends
% 65.88/66.26 Resimplifying inuse:
% 65.88/66.26 Done
% 65.88/66.26
% 65.88/66.26 *** allocated 113905 integers for clauses
% 65.88/66.26 *** allocated 33750 integers for termspace/termends
% 65.88/66.26
% 65.88/66.26 Intermediate Status:
% 65.88/66.26 Generated: 11091
% 65.88/66.26 Kept: 2030
% 65.88/66.26 Inuse: 220
% 65.88/66.26 Deleted: 111
% 65.88/66.26 Deletedinuse: 35
% 65.88/66.26
% 65.88/66.26 Resimplifying inuse:
% 65.88/66.26 Done
% 65.88/66.26
% 65.88/66.26 *** allocated 170857 integers for clauses
% 65.88/66.26 *** allocated 50625 integers for termspace/termends
% 65.88/66.26 Resimplifying inuse:
% 65.88/66.26 Done
% 65.88/66.26
% 65.88/66.26 *** allocated 256285 integers for clauses
% 65.88/66.26
% 65.88/66.26 Intermediate Status:
% 65.88/66.26 Generated: 37176
% 65.88/66.26 Kept: 4030
% 65.88/66.26 Inuse: 359
% 65.88/66.26 Deleted: 118
% 65.88/66.26 Deletedinuse: 37
% 65.88/66.26
% 65.88/66.26 Resimplifying inuse:
% 65.88/66.26 Done
% 65.88/66.26
% 65.88/66.26 *** allocated 75937 integers for termspace/termends
% 65.88/66.26 Resimplifying inuse:
% 65.88/66.26 Done
% 65.88/66.26
% 65.88/66.26 *** allocated 384427 integers for clauses
% 65.88/66.26 *** allocated 113905 integers for termspace/termends
% 65.88/66.26
% 65.88/66.26 Intermediate Status:
% 65.88/66.26 Generated: 57280
% 65.88/66.26 Kept: 6947
% 65.88/66.26 Inuse: 454
% 65.88/66.26 Deleted: 124
% 65.88/66.26 Deletedinuse: 37
% 65.88/66.26
% 65.88/66.26 Resimplifying inuse:
% 65.88/66.26 Done
% 65.88/66.26
% 65.88/66.26 *** allocated 576640 integers for clauses
% 65.88/66.26 Resimplifying inuse:
% 65.88/66.26 Done
% 65.88/66.26
% 65.88/66.26
% 65.88/66.26 Intermediate Status:
% 65.88/66.26 Generated: 65075
% 65.88/66.26 Kept: 8964
% 65.88/66.26 Inuse: 472
% 65.88/66.26 Deleted: 124
% 65.88/66.26 Deletedinuse: 37
% 65.88/66.26
% 65.88/66.26 *** allocated 170857 integers for termspace/termends
% 65.88/66.26 Resimplifying inuse:
% 65.88/66.26 Done
% 65.88/66.26
% 65.88/66.26 Resimplifying inuse:
% 65.88/66.26 Done
% 65.88/66.26
% 65.88/66.26 *** allocated 864960 integers for clauses
% 65.88/66.26
% 65.88/66.26 Intermediate Status:
% 65.88/66.26 Generated: 86539
% 65.88/66.26 Kept: 11449
% 65.88/66.26 Inuse: 548
% 65.88/66.26 Deleted: 184
% 65.88/66.26 Deletedinuse: 51
% 65.88/66.26
% 65.88/66.26 Resimplifying inuse:
% 65.88/66.26 Done
% 65.88/66.26
% 65.88/66.26 Resimplifying inuse:
% 65.88/66.26 Done
% 65.88/66.26
% 65.88/66.26
% 65.88/66.26 Intermediate Status:
% 65.88/66.26 Generated: 105586
% 65.88/66.26 Kept: 13591
% 65.88/66.26 Inuse: 615
% 65.88/66.26 Deleted: 203
% 65.88/66.26 Deletedinuse: 57
% 65.88/66.26
% 65.88/66.26 *** allocated 256285 integers for termspace/termends
% 65.88/66.26 Resimplifying inuse:
% 65.88/66.26 Done
% 65.88/66.26
% 65.88/66.26 Resimplifying inuse:
% 65.88/66.26 Done
% 65.88/66.26
% 65.88/66.26
% 65.88/66.26 Intermediate Status:
% 65.88/66.26 Generated: 116783
% 65.88/66.26 Kept: 15600
% 65.88/66.26 Inuse: 660
% 65.88/66.26 Deleted: 204
% 65.88/66.26 Deletedinuse: 57
% 65.88/66.26
% 65.88/66.26 Resimplifying inuse:
% 65.88/66.26 Done
% 65.88/66.26
% 65.88/66.26 *** allocated 1297440 integers for clauses
% 65.88/66.26 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 151425
% 94.33/94.71 Kept: 17611
% 94.33/94.71 Inuse: 759
% 94.33/94.71 Deleted: 218
% 94.33/94.71 Deletedinuse: 58
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 194766
% 94.33/94.71 Kept: 19717
% 94.33/94.71 Inuse: 872
% 94.33/94.71 Deleted: 273
% 94.33/94.71 Deletedinuse: 59
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 *** allocated 384427 integers for termspace/termends
% 94.33/94.71 Resimplifying clauses:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 216022
% 94.33/94.71 Kept: 21921
% 94.33/94.71 Inuse: 910
% 94.33/94.71 Deleted: 2785
% 94.33/94.71 Deletedinuse: 59
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 222247
% 94.33/94.71 Kept: 23987
% 94.33/94.71 Inuse: 918
% 94.33/94.71 Deleted: 2785
% 94.33/94.71 Deletedinuse: 59
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 *** allocated 1946160 integers for clauses
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 227321
% 94.33/94.71 Kept: 26109
% 94.33/94.71 Inuse: 925
% 94.33/94.71 Deleted: 2785
% 94.33/94.71 Deletedinuse: 59
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 233229
% 94.33/94.71 Kept: 28265
% 94.33/94.71 Inuse: 933
% 94.33/94.71 Deleted: 2785
% 94.33/94.71 Deletedinuse: 59
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 238454
% 94.33/94.71 Kept: 30588
% 94.33/94.71 Inuse: 940
% 94.33/94.71 Deleted: 2785
% 94.33/94.71 Deletedinuse: 59
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 *** allocated 576640 integers for termspace/termends
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 247209
% 94.33/94.71 Kept: 32885
% 94.33/94.71 Inuse: 948
% 94.33/94.71 Deleted: 2785
% 94.33/94.71 Deletedinuse: 59
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 253851
% 94.33/94.71 Kept: 35164
% 94.33/94.71 Inuse: 955
% 94.33/94.71 Deleted: 2785
% 94.33/94.71 Deletedinuse: 59
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 265056
% 94.33/94.71 Kept: 37164
% 94.33/94.71 Inuse: 977
% 94.33/94.71 Deleted: 2785
% 94.33/94.71 Deletedinuse: 59
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 *** allocated 2919240 integers for clauses
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 290651
% 94.33/94.71 Kept: 39165
% 94.33/94.71 Inuse: 1010
% 94.33/94.71 Deleted: 2785
% 94.33/94.71 Deletedinuse: 59
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying clauses:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 316598
% 94.33/94.71 Kept: 41396
% 94.33/94.71 Inuse: 1043
% 94.33/94.71 Deleted: 2866
% 94.33/94.71 Deletedinuse: 59
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 323508
% 94.33/94.71 Kept: 43791
% 94.33/94.71 Inuse: 1053
% 94.33/94.71 Deleted: 2867
% 94.33/94.71 Deletedinuse: 60
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 328933
% 94.33/94.71 Kept: 46152
% 94.33/94.71 Inuse: 1059
% 94.33/94.71 Deleted: 2867
% 94.33/94.71 Deletedinuse: 60
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 *** allocated 864960 integers for termspace/termends
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 334406
% 94.33/94.71 Kept: 48191
% 94.33/94.71 Inuse: 1065
% 94.33/94.71 Deleted: 2867
% 94.33/94.71 Deletedinuse: 60
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 350961
% 94.33/94.71 Kept: 50230
% 94.33/94.71 Inuse: 1091
% 94.33/94.71 Deleted: 2867
% 94.33/94.71 Deletedinuse: 60
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 376137
% 94.33/94.71 Kept: 52301
% 94.33/94.71 Inuse: 1118
% 94.33/94.71 Deleted: 2867
% 94.33/94.71 Deletedinuse: 60
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 383154
% 94.33/94.71 Kept: 54386
% 94.33/94.71 Inuse: 1129
% 94.33/94.71 Deleted: 2867
% 94.33/94.71 Deletedinuse: 60
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 390212
% 94.33/94.71 Kept: 56565
% 94.33/94.71 Inuse: 1134
% 94.33/94.71 Deleted: 2867
% 94.33/94.71 Deletedinuse: 60
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 397275
% 94.33/94.71 Kept: 58768
% 94.33/94.71 Inuse: 1139
% 94.33/94.71 Deleted: 2867
% 94.33/94.71 Deletedinuse: 60
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 *** allocated 4378860 integers for clauses
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 404978
% 94.33/94.71 Kept: 61003
% 94.33/94.71 Inuse: 1145
% 94.33/94.71 Deleted: 2867
% 94.33/94.71 Deletedinuse: 60
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying clauses:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 426191
% 94.33/94.71 Kept: 63071
% 94.33/94.71 Inuse: 1166
% 94.33/94.71 Deleted: 2912
% 94.33/94.71 Deletedinuse: 60
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 453313
% 94.33/94.71 Kept: 65150
% 94.33/94.71 Inuse: 1188
% 94.33/94.71 Deleted: 2912
% 94.33/94.71 Deletedinuse: 60
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 477032
% 94.33/94.71 Kept: 67171
% 94.33/94.71 Inuse: 1208
% 94.33/94.71 Deleted: 2912
% 94.33/94.71 Deletedinuse: 60
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 494629
% 94.33/94.71 Kept: 69503
% 94.33/94.71 Inuse: 1231
% 94.33/94.71 Deleted: 2912
% 94.33/94.71 Deletedinuse: 60
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 *** allocated 1297440 integers for termspace/termends
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 517621
% 94.33/94.71 Kept: 72145
% 94.33/94.71 Inuse: 1259
% 94.33/94.71 Deleted: 2912
% 94.33/94.71 Deletedinuse: 60
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 524557
% 94.33/94.71 Kept: 74796
% 94.33/94.71 Inuse: 1264
% 94.33/94.71 Deleted: 2912
% 94.33/94.71 Deletedinuse: 60
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 531306
% 94.33/94.71 Kept: 76802
% 94.33/94.71 Inuse: 1268
% 94.33/94.71 Deleted: 2912
% 94.33/94.71 Deletedinuse: 60
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 534885
% 94.33/94.71 Kept: 78821
% 94.33/94.71 Inuse: 1271
% 94.33/94.71 Deleted: 2912
% 94.33/94.71 Deletedinuse: 60
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Intermediate Status:
% 94.33/94.71 Generated: 546562
% 94.33/94.71 Kept: 80902
% 94.33/94.71 Inuse: 1279
% 94.33/94.71 Deleted: 2912
% 94.33/94.71 Deletedinuse: 60
% 94.33/94.71
% 94.33/94.71 Resimplifying inuse:
% 94.33/94.71 Done
% 94.33/94.71
% 94.33/94.71 Resimplifying clauses:
% 94.33/94.71
% 94.33/94.71 Bliksems!, er is een bewijs:
% 94.33/94.71 % SZS status Theorem
% 94.33/94.71 % SZS output start Refutation
% 94.33/94.71
% 94.33/94.71 (6) {G0,W16,D3,L5,V3,M5} I { ! relation( X ), ! function( X ), in( Y,
% 94.33/94.71 relation_dom( X ) ), ! Z = apply( X, Y ), Z = empty_set }.
% 94.33/94.71 (10) {G0,W8,D3,L3,V2,M3} I { ! relation( X ), ! relation( Y ), relation(
% 94.33/94.71 relation_composition( X, Y ) ) }.
% 94.33/94.71 (17) {G0,W12,D3,L5,V2,M5} I { ! relation( X ), ! function( X ), ! relation
% 94.33/94.71 ( Y ), ! function( Y ), function( relation_composition( X, Y ) ) }.
% 94.33/94.71 (39) {G0,W24,D4,L7,V3,M7} I { ! relation( X ), ! function( X ), ! relation
% 94.33/94.71 ( Y ), ! function( Y ), ! in( Z, relation_dom( Y ) ), ! in( apply( Y, Z )
% 94.33/94.71 , relation_dom( X ) ), in( Z, relation_dom( relation_composition( Y, X )
% 94.33/94.71 ) ) }.
% 94.33/94.71 (40) {G0,W25,D4,L6,V3,M6} I { ! relation( X ), ! function( X ), ! relation
% 94.33/94.71 ( Y ), ! function( Y ), ! in( Z, relation_dom( relation_composition( Y, X
% 94.33/94.71 ) ) ), apply( X, apply( Y, Z ) ) ==> apply( relation_composition( Y, X )
% 94.33/94.71 , Z ) }.
% 94.33/94.71 (41) {G0,W2,D2,L1,V0,M1} I { relation( skol8 ) }.
% 94.33/94.71 (42) {G0,W2,D2,L1,V0,M1} I { function( skol8 ) }.
% 94.33/94.71 (43) {G0,W2,D2,L1,V0,M1} I { relation( skol9 ) }.
% 94.33/94.71 (44) {G0,W2,D2,L1,V0,M1} I { function( skol9 ) }.
% 94.33/94.71 (45) {G0,W4,D3,L1,V0,M1} I { in( skol10, relation_dom( skol8 ) ) }.
% 94.33/94.71 (46) {G0,W11,D4,L1,V0,M1} I { ! apply( skol9, apply( skol8, skol10 ) ) ==>
% 94.33/94.71 apply( relation_composition( skol8, skol9 ), skol10 ) }.
% 94.33/94.71 (53) {G1,W13,D3,L4,V2,M4} Q(6) { ! relation( X ), ! function( X ), in( Y,
% 94.33/94.71 relation_dom( X ) ), apply( X, Y ) ==> empty_set }.
% 94.33/94.71 (169) {G1,W6,D3,L2,V1,M2} R(10,41) { ! relation( X ), relation(
% 94.33/94.71 relation_composition( skol8, X ) ) }.
% 94.33/94.71 (237) {G1,W8,D3,L3,V1,M3} R(17,41);r(42) { ! relation( X ), ! function( X )
% 94.33/94.71 , function( relation_composition( skol8, X ) ) }.
% 94.33/94.71 (437) {G1,W20,D4,L5,V2,M5} R(39,43);r(44) { ! relation( X ), ! function( X
% 94.33/94.71 ), ! in( Y, relation_dom( X ) ), ! in( apply( X, Y ), relation_dom(
% 94.33/94.71 skol9 ) ), in( Y, relation_dom( relation_composition( X, skol9 ) ) ) }.
% 94.33/94.71 (487) {G1,W12,D4,L4,V0,M4} R(46,40);r(43) { ! function( skol9 ), ! relation
% 94.33/94.71 ( skol8 ), ! function( skol8 ), ! in( skol10, relation_dom(
% 94.33/94.71 relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 (599) {G2,W15,D4,L3,V0,M3} P(53,46);r(43) { ! apply( relation_composition(
% 94.33/94.71 skol8, skol9 ), skol10 ) ==> empty_set, ! function( skol9 ), in( apply(
% 94.33/94.71 skol8, skol10 ), relation_dom( skol9 ) ) }.
% 94.33/94.71 (1409) {G2,W4,D3,L1,V0,M1} R(169,43) { relation( relation_composition(
% 94.33/94.71 skol8, skol9 ) ) }.
% 94.33/94.71 (14472) {G2,W4,D3,L1,V0,M1} R(237,43);r(44) { function(
% 94.33/94.71 relation_composition( skol8, skol9 ) ) }.
% 94.33/94.71 (20243) {G3,W13,D4,L2,V0,M2} S(599);r(44) { ! apply( relation_composition(
% 94.33/94.71 skol8, skol9 ), skol10 ) ==> empty_set, in( apply( skol8, skol10 ),
% 94.33/94.71 relation_dom( skol9 ) ) }.
% 94.33/94.71 (20244) {G2,W6,D4,L1,V0,M1} S(487);r(44);r(41);r(42) { ! in( skol10,
% 94.33/94.71 relation_dom( relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 (20251) {G3,W11,D4,L2,V0,M2} R(20244,53);r(1409) { ! function(
% 94.33/94.71 relation_composition( skol8, skol9 ) ), apply( relation_composition(
% 94.33/94.71 skol8, skol9 ), skol10 ) ==> empty_set }.
% 94.33/94.71 (40663) {G4,W7,D4,L1,V0,M1} S(20251);r(14472) { apply( relation_composition
% 94.33/94.71 ( skol8, skol9 ), skol10 ) ==> empty_set }.
% 94.33/94.71 (40664) {G5,W6,D3,L1,V0,M1} S(20243);d(40663);q { in( apply( skol8, skol10
% 94.33/94.71 ), relation_dom( skol9 ) ) }.
% 94.33/94.71 (71011) {G6,W12,D4,L3,V0,M3} R(437,40664);r(41) { ! function( skol8 ), ! in
% 94.33/94.71 ( skol10, relation_dom( skol8 ) ), in( skol10, relation_dom(
% 94.33/94.71 relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 (81115) {G7,W0,D0,L0,V0,M0} S(71011);r(42);r(45);r(20244) { }.
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 % SZS output end Refutation
% 94.33/94.71 found a proof!
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Unprocessed initial clauses:
% 94.33/94.71
% 94.33/94.71 (81117) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 94.33/94.71 (81118) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 94.33/94.71 (81119) {G0,W4,D2,L2,V1,M2} { ! empty( X ), relation( X ) }.
% 94.33/94.71 (81120) {G0,W7,D3,L1,V2,M1} { unordered_pair( X, Y ) = unordered_pair( Y,
% 94.33/94.71 X ) }.
% 94.33/94.71 (81121) {G0,W18,D3,L5,V3,M5} { ! relation( X ), ! function( X ), ! in( Y,
% 94.33/94.71 relation_dom( X ) ), ! Z = apply( X, Y ), in( ordered_pair( Y, Z ), X )
% 94.33/94.71 }.
% 94.33/94.71 (81122) {G0,W18,D3,L5,V3,M5} { ! relation( X ), ! function( X ), ! in( Y,
% 94.33/94.71 relation_dom( X ) ), ! in( ordered_pair( Y, Z ), X ), Z = apply( X, Y )
% 94.33/94.71 }.
% 94.33/94.71 (81123) {G0,W16,D3,L5,V3,M5} { ! relation( X ), ! function( X ), in( Y,
% 94.33/94.71 relation_dom( X ) ), ! Z = apply( X, Y ), Z = empty_set }.
% 94.33/94.71 (81124) {G0,W16,D3,L5,V3,M5} { ! relation( X ), ! function( X ), in( Y,
% 94.33/94.71 relation_dom( X ) ), ! Z = empty_set, Z = apply( X, Y ) }.
% 94.33/94.71 (81125) {G0,W10,D4,L1,V2,M1} { ordered_pair( X, Y ) = unordered_pair(
% 94.33/94.71 unordered_pair( X, Y ), singleton( X ) ) }.
% 94.33/94.71 (81126) {G0,W1,D1,L1,V0,M1} { && }.
% 94.33/94.71 (81127) {G0,W1,D1,L1,V0,M1} { && }.
% 94.33/94.71 (81128) {G0,W1,D1,L1,V0,M1} { && }.
% 94.33/94.71 (81129) {G0,W1,D1,L1,V0,M1} { && }.
% 94.33/94.71 (81130) {G0,W1,D1,L1,V0,M1} { && }.
% 94.33/94.71 (81131) {G0,W1,D1,L1,V0,M1} { && }.
% 94.33/94.71 (81132) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! relation( Y ), relation(
% 94.33/94.71 relation_composition( X, Y ) ) }.
% 94.33/94.71 (81133) {G0,W1,D1,L1,V0,M1} { && }.
% 94.33/94.71 (81134) {G0,W4,D3,L1,V1,M1} { element( skol1( X ), X ) }.
% 94.33/94.71 (81135) {G0,W8,D3,L3,V2,M3} { ! empty( X ), ! relation( Y ), empty(
% 94.33/94.71 relation_composition( Y, X ) ) }.
% 94.33/94.71 (81136) {G0,W8,D3,L3,V2,M3} { ! empty( X ), ! relation( Y ), relation(
% 94.33/94.71 relation_composition( Y, X ) ) }.
% 94.33/94.71 (81137) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 94.33/94.71 (81138) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 94.33/94.71 (81139) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 94.33/94.71 (81140) {G0,W12,D3,L5,V2,M5} { ! relation( X ), ! function( X ), !
% 94.33/94.71 relation( Y ), ! function( Y ), relation( relation_composition( X, Y ) )
% 94.33/94.71 }.
% 94.33/94.71 (81141) {G0,W12,D3,L5,V2,M5} { ! relation( X ), ! function( X ), !
% 94.33/94.71 relation( Y ), ! function( Y ), function( relation_composition( X, Y ) )
% 94.33/94.71 }.
% 94.33/94.71 (81142) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 94.33/94.71 (81143) {G0,W4,D3,L1,V2,M1} { ! empty( ordered_pair( X, Y ) ) }.
% 94.33/94.71 (81144) {G0,W3,D3,L1,V1,M1} { ! empty( singleton( X ) ) }.
% 94.33/94.71 (81145) {G0,W4,D3,L1,V2,M1} { ! empty( unordered_pair( X, Y ) ) }.
% 94.33/94.71 (81146) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 94.33/94.71 (81147) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 94.33/94.71 (81148) {G0,W7,D3,L3,V1,M3} { empty( X ), ! relation( X ), ! empty(
% 94.33/94.71 relation_dom( X ) ) }.
% 94.33/94.71 (81149) {G0,W5,D3,L2,V1,M2} { ! empty( X ), empty( relation_dom( X ) ) }.
% 94.33/94.71 (81150) {G0,W5,D3,L2,V1,M2} { ! empty( X ), relation( relation_dom( X ) )
% 94.33/94.71 }.
% 94.33/94.71 (81151) {G0,W8,D3,L3,V2,M3} { ! empty( X ), ! relation( Y ), empty(
% 94.33/94.71 relation_composition( X, Y ) ) }.
% 94.33/94.71 (81152) {G0,W8,D3,L3,V2,M3} { ! empty( X ), ! relation( Y ), relation(
% 94.33/94.71 relation_composition( X, Y ) ) }.
% 94.33/94.71 (81153) {G0,W2,D2,L1,V0,M1} { relation( skol2 ) }.
% 94.33/94.71 (81154) {G0,W2,D2,L1,V0,M1} { function( skol2 ) }.
% 94.33/94.71 (81155) {G0,W2,D2,L1,V0,M1} { empty( skol3 ) }.
% 94.33/94.71 (81156) {G0,W2,D2,L1,V0,M1} { relation( skol3 ) }.
% 94.33/94.71 (81157) {G0,W2,D2,L1,V0,M1} { empty( skol4 ) }.
% 94.33/94.71 (81158) {G0,W2,D2,L1,V0,M1} { ! empty( skol5 ) }.
% 94.33/94.71 (81159) {G0,W2,D2,L1,V0,M1} { relation( skol5 ) }.
% 94.33/94.71 (81160) {G0,W2,D2,L1,V0,M1} { ! empty( skol6 ) }.
% 94.33/94.71 (81161) {G0,W2,D2,L1,V0,M1} { relation( skol7 ) }.
% 94.33/94.71 (81162) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol7 ) }.
% 94.33/94.71 (81163) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 94.33/94.71 (81164) {G0,W18,D4,L6,V3,M6} { ! relation( X ), ! function( X ), !
% 94.33/94.71 relation( Y ), ! function( Y ), ! in( Z, relation_dom(
% 94.33/94.71 relation_composition( Y, X ) ) ), in( Z, relation_dom( Y ) ) }.
% 94.33/94.71 (81165) {G0,W20,D4,L6,V3,M6} { ! relation( X ), ! function( X ), !
% 94.33/94.71 relation( Y ), ! function( Y ), ! in( Z, relation_dom(
% 94.33/94.71 relation_composition( Y, X ) ) ), in( apply( Y, Z ), relation_dom( X ) )
% 94.33/94.71 }.
% 94.33/94.71 (81166) {G0,W24,D4,L7,V3,M7} { ! relation( X ), ! function( X ), !
% 94.33/94.71 relation( Y ), ! function( Y ), ! in( Z, relation_dom( Y ) ), ! in( apply
% 94.33/94.71 ( Y, Z ), relation_dom( X ) ), in( Z, relation_dom( relation_composition
% 94.33/94.71 ( Y, X ) ) ) }.
% 94.33/94.71 (81167) {G0,W25,D4,L6,V3,M6} { ! relation( X ), ! function( X ), !
% 94.33/94.71 relation( Y ), ! function( Y ), ! in( Z, relation_dom(
% 94.33/94.71 relation_composition( Y, X ) ) ), apply( relation_composition( Y, X ), Z
% 94.33/94.71 ) = apply( X, apply( Y, Z ) ) }.
% 94.33/94.71 (81168) {G0,W2,D2,L1,V0,M1} { relation( skol8 ) }.
% 94.33/94.71 (81169) {G0,W2,D2,L1,V0,M1} { function( skol8 ) }.
% 94.33/94.71 (81170) {G0,W2,D2,L1,V0,M1} { relation( skol9 ) }.
% 94.33/94.71 (81171) {G0,W2,D2,L1,V0,M1} { function( skol9 ) }.
% 94.33/94.71 (81172) {G0,W4,D3,L1,V0,M1} { in( skol10, relation_dom( skol8 ) ) }.
% 94.33/94.71 (81173) {G0,W11,D4,L1,V0,M1} { ! apply( relation_composition( skol8, skol9
% 94.33/94.71 ), skol10 ) = apply( skol9, apply( skol8, skol10 ) ) }.
% 94.33/94.71 (81174) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 94.33/94.71 }.
% 94.33/94.71 (81175) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 94.33/94.71 (81176) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 94.33/94.71 (81177) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Total Proof:
% 94.33/94.71
% 94.33/94.71 subsumption: (6) {G0,W16,D3,L5,V3,M5} I { ! relation( X ), ! function( X )
% 94.33/94.71 , in( Y, relation_dom( X ) ), ! Z = apply( X, Y ), Z = empty_set }.
% 94.33/94.71 parent0: (81123) {G0,W16,D3,L5,V3,M5} { ! relation( X ), ! function( X ),
% 94.33/94.71 in( Y, relation_dom( X ) ), ! Z = apply( X, Y ), Z = empty_set }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := X
% 94.33/94.71 Y := Y
% 94.33/94.71 Z := Z
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 1 ==> 1
% 94.33/94.71 2 ==> 2
% 94.33/94.71 3 ==> 3
% 94.33/94.71 4 ==> 4
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (10) {G0,W8,D3,L3,V2,M3} I { ! relation( X ), ! relation( Y )
% 94.33/94.71 , relation( relation_composition( X, Y ) ) }.
% 94.33/94.71 parent0: (81132) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! relation( Y ),
% 94.33/94.71 relation( relation_composition( X, Y ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := X
% 94.33/94.71 Y := Y
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 1 ==> 1
% 94.33/94.71 2 ==> 2
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (17) {G0,W12,D3,L5,V2,M5} I { ! relation( X ), ! function( X )
% 94.33/94.71 , ! relation( Y ), ! function( Y ), function( relation_composition( X, Y
% 94.33/94.71 ) ) }.
% 94.33/94.71 parent0: (81141) {G0,W12,D3,L5,V2,M5} { ! relation( X ), ! function( X ),
% 94.33/94.71 ! relation( Y ), ! function( Y ), function( relation_composition( X, Y )
% 94.33/94.71 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := X
% 94.33/94.71 Y := Y
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 1 ==> 1
% 94.33/94.71 2 ==> 2
% 94.33/94.71 3 ==> 3
% 94.33/94.71 4 ==> 4
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (39) {G0,W24,D4,L7,V3,M7} I { ! relation( X ), ! function( X )
% 94.33/94.71 , ! relation( Y ), ! function( Y ), ! in( Z, relation_dom( Y ) ), ! in(
% 94.33/94.71 apply( Y, Z ), relation_dom( X ) ), in( Z, relation_dom(
% 94.33/94.71 relation_composition( Y, X ) ) ) }.
% 94.33/94.71 parent0: (81166) {G0,W24,D4,L7,V3,M7} { ! relation( X ), ! function( X ),
% 94.33/94.71 ! relation( Y ), ! function( Y ), ! in( Z, relation_dom( Y ) ), ! in(
% 94.33/94.71 apply( Y, Z ), relation_dom( X ) ), in( Z, relation_dom(
% 94.33/94.71 relation_composition( Y, X ) ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := X
% 94.33/94.71 Y := Y
% 94.33/94.71 Z := Z
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 1 ==> 1
% 94.33/94.71 2 ==> 2
% 94.33/94.71 3 ==> 3
% 94.33/94.71 4 ==> 4
% 94.33/94.71 5 ==> 5
% 94.33/94.71 6 ==> 6
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 eqswap: (81252) {G0,W25,D4,L6,V3,M6} { apply( Y, apply( X, Z ) ) = apply(
% 94.33/94.71 relation_composition( X, Y ), Z ), ! relation( Y ), ! function( Y ), !
% 94.33/94.71 relation( X ), ! function( X ), ! in( Z, relation_dom(
% 94.33/94.71 relation_composition( X, Y ) ) ) }.
% 94.33/94.71 parent0[5]: (81167) {G0,W25,D4,L6,V3,M6} { ! relation( X ), ! function( X
% 94.33/94.71 ), ! relation( Y ), ! function( Y ), ! in( Z, relation_dom(
% 94.33/94.71 relation_composition( Y, X ) ) ), apply( relation_composition( Y, X ), Z
% 94.33/94.71 ) = apply( X, apply( Y, Z ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := Y
% 94.33/94.71 Y := X
% 94.33/94.71 Z := Z
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (40) {G0,W25,D4,L6,V3,M6} I { ! relation( X ), ! function( X )
% 94.33/94.71 , ! relation( Y ), ! function( Y ), ! in( Z, relation_dom(
% 94.33/94.71 relation_composition( Y, X ) ) ), apply( X, apply( Y, Z ) ) ==> apply(
% 94.33/94.71 relation_composition( Y, X ), Z ) }.
% 94.33/94.71 parent0: (81252) {G0,W25,D4,L6,V3,M6} { apply( Y, apply( X, Z ) ) = apply
% 94.33/94.71 ( relation_composition( X, Y ), Z ), ! relation( Y ), ! function( Y ), !
% 94.33/94.71 relation( X ), ! function( X ), ! in( Z, relation_dom(
% 94.33/94.71 relation_composition( X, Y ) ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := Y
% 94.33/94.71 Y := X
% 94.33/94.71 Z := Z
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 5
% 94.33/94.71 1 ==> 0
% 94.33/94.71 2 ==> 1
% 94.33/94.71 3 ==> 2
% 94.33/94.71 4 ==> 3
% 94.33/94.71 5 ==> 4
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (41) {G0,W2,D2,L1,V0,M1} I { relation( skol8 ) }.
% 94.33/94.71 parent0: (81168) {G0,W2,D2,L1,V0,M1} { relation( skol8 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (42) {G0,W2,D2,L1,V0,M1} I { function( skol8 ) }.
% 94.33/94.71 parent0: (81169) {G0,W2,D2,L1,V0,M1} { function( skol8 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (43) {G0,W2,D2,L1,V0,M1} I { relation( skol9 ) }.
% 94.33/94.71 parent0: (81170) {G0,W2,D2,L1,V0,M1} { relation( skol9 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (44) {G0,W2,D2,L1,V0,M1} I { function( skol9 ) }.
% 94.33/94.71 parent0: (81171) {G0,W2,D2,L1,V0,M1} { function( skol9 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (45) {G0,W4,D3,L1,V0,M1} I { in( skol10, relation_dom( skol8 )
% 94.33/94.71 ) }.
% 94.33/94.71 parent0: (81172) {G0,W4,D3,L1,V0,M1} { in( skol10, relation_dom( skol8 ) )
% 94.33/94.71 }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 eqswap: (81413) {G0,W11,D4,L1,V0,M1} { ! apply( skol9, apply( skol8,
% 94.33/94.71 skol10 ) ) = apply( relation_composition( skol8, skol9 ), skol10 ) }.
% 94.33/94.71 parent0[0]: (81173) {G0,W11,D4,L1,V0,M1} { ! apply( relation_composition(
% 94.33/94.71 skol8, skol9 ), skol10 ) = apply( skol9, apply( skol8, skol10 ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (46) {G0,W11,D4,L1,V0,M1} I { ! apply( skol9, apply( skol8,
% 94.33/94.71 skol10 ) ) ==> apply( relation_composition( skol8, skol9 ), skol10 ) }.
% 94.33/94.71 parent0: (81413) {G0,W11,D4,L1,V0,M1} { ! apply( skol9, apply( skol8,
% 94.33/94.71 skol10 ) ) = apply( relation_composition( skol8, skol9 ), skol10 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 eqswap: (81414) {G0,W16,D3,L5,V3,M5} { ! apply( Y, Z ) = X, ! relation( Y
% 94.33/94.71 ), ! function( Y ), in( Z, relation_dom( Y ) ), X = empty_set }.
% 94.33/94.71 parent0[3]: (6) {G0,W16,D3,L5,V3,M5} I { ! relation( X ), ! function( X ),
% 94.33/94.71 in( Y, relation_dom( X ) ), ! Z = apply( X, Y ), Z = empty_set }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := Y
% 94.33/94.71 Y := Z
% 94.33/94.71 Z := X
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 eqrefl: (81417) {G0,W13,D3,L4,V2,M4} { ! relation( X ), ! function( X ),
% 94.33/94.71 in( Y, relation_dom( X ) ), apply( X, Y ) = empty_set }.
% 94.33/94.71 parent0[0]: (81414) {G0,W16,D3,L5,V3,M5} { ! apply( Y, Z ) = X, ! relation
% 94.33/94.71 ( Y ), ! function( Y ), in( Z, relation_dom( Y ) ), X = empty_set }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := apply( X, Y )
% 94.33/94.71 Y := X
% 94.33/94.71 Z := Y
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (53) {G1,W13,D3,L4,V2,M4} Q(6) { ! relation( X ), ! function(
% 94.33/94.71 X ), in( Y, relation_dom( X ) ), apply( X, Y ) ==> empty_set }.
% 94.33/94.71 parent0: (81417) {G0,W13,D3,L4,V2,M4} { ! relation( X ), ! function( X ),
% 94.33/94.71 in( Y, relation_dom( X ) ), apply( X, Y ) = empty_set }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := X
% 94.33/94.71 Y := Y
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 1 ==> 1
% 94.33/94.71 2 ==> 2
% 94.33/94.71 3 ==> 3
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81419) {G1,W6,D3,L2,V1,M2} { ! relation( X ), relation(
% 94.33/94.71 relation_composition( skol8, X ) ) }.
% 94.33/94.71 parent0[0]: (10) {G0,W8,D3,L3,V2,M3} I { ! relation( X ), ! relation( Y ),
% 94.33/94.71 relation( relation_composition( X, Y ) ) }.
% 94.33/94.71 parent1[0]: (41) {G0,W2,D2,L1,V0,M1} I { relation( skol8 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := skol8
% 94.33/94.71 Y := X
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (169) {G1,W6,D3,L2,V1,M2} R(10,41) { ! relation( X ), relation
% 94.33/94.71 ( relation_composition( skol8, X ) ) }.
% 94.33/94.71 parent0: (81419) {G1,W6,D3,L2,V1,M2} { ! relation( X ), relation(
% 94.33/94.71 relation_composition( skol8, X ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := X
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 1 ==> 1
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81421) {G1,W10,D3,L4,V1,M4} { ! function( skol8 ), ! relation
% 94.33/94.71 ( X ), ! function( X ), function( relation_composition( skol8, X ) ) }.
% 94.33/94.71 parent0[0]: (17) {G0,W12,D3,L5,V2,M5} I { ! relation( X ), ! function( X )
% 94.33/94.71 , ! relation( Y ), ! function( Y ), function( relation_composition( X, Y
% 94.33/94.71 ) ) }.
% 94.33/94.71 parent1[0]: (41) {G0,W2,D2,L1,V0,M1} I { relation( skol8 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := skol8
% 94.33/94.71 Y := X
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81424) {G1,W8,D3,L3,V1,M3} { ! relation( X ), ! function( X )
% 94.33/94.71 , function( relation_composition( skol8, X ) ) }.
% 94.33/94.71 parent0[0]: (81421) {G1,W10,D3,L4,V1,M4} { ! function( skol8 ), ! relation
% 94.33/94.71 ( X ), ! function( X ), function( relation_composition( skol8, X ) ) }.
% 94.33/94.71 parent1[0]: (42) {G0,W2,D2,L1,V0,M1} I { function( skol8 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := X
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (237) {G1,W8,D3,L3,V1,M3} R(17,41);r(42) { ! relation( X ), !
% 94.33/94.71 function( X ), function( relation_composition( skol8, X ) ) }.
% 94.33/94.71 parent0: (81424) {G1,W8,D3,L3,V1,M3} { ! relation( X ), ! function( X ),
% 94.33/94.71 function( relation_composition( skol8, X ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := X
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 1 ==> 1
% 94.33/94.71 2 ==> 2
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81425) {G1,W22,D4,L6,V2,M6} { ! function( skol9 ), ! relation
% 94.33/94.71 ( X ), ! function( X ), ! in( Y, relation_dom( X ) ), ! in( apply( X, Y )
% 94.33/94.71 , relation_dom( skol9 ) ), in( Y, relation_dom( relation_composition( X,
% 94.33/94.71 skol9 ) ) ) }.
% 94.33/94.71 parent0[0]: (39) {G0,W24,D4,L7,V3,M7} I { ! relation( X ), ! function( X )
% 94.33/94.71 , ! relation( Y ), ! function( Y ), ! in( Z, relation_dom( Y ) ), ! in(
% 94.33/94.71 apply( Y, Z ), relation_dom( X ) ), in( Z, relation_dom(
% 94.33/94.71 relation_composition( Y, X ) ) ) }.
% 94.33/94.71 parent1[0]: (43) {G0,W2,D2,L1,V0,M1} I { relation( skol9 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := skol9
% 94.33/94.71 Y := X
% 94.33/94.71 Z := Y
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81428) {G1,W20,D4,L5,V2,M5} { ! relation( X ), ! function( X
% 94.33/94.71 ), ! in( Y, relation_dom( X ) ), ! in( apply( X, Y ), relation_dom(
% 94.33/94.71 skol9 ) ), in( Y, relation_dom( relation_composition( X, skol9 ) ) ) }.
% 94.33/94.71 parent0[0]: (81425) {G1,W22,D4,L6,V2,M6} { ! function( skol9 ), ! relation
% 94.33/94.71 ( X ), ! function( X ), ! in( Y, relation_dom( X ) ), ! in( apply( X, Y )
% 94.33/94.71 , relation_dom( skol9 ) ), in( Y, relation_dom( relation_composition( X,
% 94.33/94.71 skol9 ) ) ) }.
% 94.33/94.71 parent1[0]: (44) {G0,W2,D2,L1,V0,M1} I { function( skol9 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := X
% 94.33/94.71 Y := Y
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (437) {G1,W20,D4,L5,V2,M5} R(39,43);r(44) { ! relation( X ), !
% 94.33/94.71 function( X ), ! in( Y, relation_dom( X ) ), ! in( apply( X, Y ),
% 94.33/94.71 relation_dom( skol9 ) ), in( Y, relation_dom( relation_composition( X,
% 94.33/94.71 skol9 ) ) ) }.
% 94.33/94.71 parent0: (81428) {G1,W20,D4,L5,V2,M5} { ! relation( X ), ! function( X ),
% 94.33/94.71 ! in( Y, relation_dom( X ) ), ! in( apply( X, Y ), relation_dom( skol9 )
% 94.33/94.71 ), in( Y, relation_dom( relation_composition( X, skol9 ) ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := X
% 94.33/94.71 Y := Y
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 1 ==> 1
% 94.33/94.71 2 ==> 2
% 94.33/94.71 3 ==> 3
% 94.33/94.71 4 ==> 4
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 eqswap: (81429) {G0,W11,D4,L1,V0,M1} { ! apply( relation_composition(
% 94.33/94.71 skol8, skol9 ), skol10 ) ==> apply( skol9, apply( skol8, skol10 ) ) }.
% 94.33/94.71 parent0[0]: (46) {G0,W11,D4,L1,V0,M1} I { ! apply( skol9, apply( skol8,
% 94.33/94.71 skol10 ) ) ==> apply( relation_composition( skol8, skol9 ), skol10 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 eqswap: (81430) {G0,W25,D4,L6,V3,M6} { apply( relation_composition( Y, X )
% 94.33/94.71 , Z ) ==> apply( X, apply( Y, Z ) ), ! relation( X ), ! function( X ), !
% 94.33/94.71 relation( Y ), ! function( Y ), ! in( Z, relation_dom(
% 94.33/94.71 relation_composition( Y, X ) ) ) }.
% 94.33/94.71 parent0[5]: (40) {G0,W25,D4,L6,V3,M6} I { ! relation( X ), ! function( X )
% 94.33/94.71 , ! relation( Y ), ! function( Y ), ! in( Z, relation_dom(
% 94.33/94.71 relation_composition( Y, X ) ) ), apply( X, apply( Y, Z ) ) ==> apply(
% 94.33/94.71 relation_composition( Y, X ), Z ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := X
% 94.33/94.71 Y := Y
% 94.33/94.71 Z := Z
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81431) {G1,W14,D4,L5,V0,M5} { ! relation( skol9 ), ! function
% 94.33/94.71 ( skol9 ), ! relation( skol8 ), ! function( skol8 ), ! in( skol10,
% 94.33/94.71 relation_dom( relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 parent0[0]: (81429) {G0,W11,D4,L1,V0,M1} { ! apply( relation_composition(
% 94.33/94.71 skol8, skol9 ), skol10 ) ==> apply( skol9, apply( skol8, skol10 ) ) }.
% 94.33/94.71 parent1[0]: (81430) {G0,W25,D4,L6,V3,M6} { apply( relation_composition( Y
% 94.33/94.71 , X ), Z ) ==> apply( X, apply( Y, Z ) ), ! relation( X ), ! function( X
% 94.33/94.71 ), ! relation( Y ), ! function( Y ), ! in( Z, relation_dom(
% 94.33/94.71 relation_composition( Y, X ) ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 X := skol9
% 94.33/94.71 Y := skol8
% 94.33/94.71 Z := skol10
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81432) {G1,W12,D4,L4,V0,M4} { ! function( skol9 ), ! relation
% 94.33/94.71 ( skol8 ), ! function( skol8 ), ! in( skol10, relation_dom(
% 94.33/94.71 relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 parent0[0]: (81431) {G1,W14,D4,L5,V0,M5} { ! relation( skol9 ), ! function
% 94.33/94.71 ( skol9 ), ! relation( skol8 ), ! function( skol8 ), ! in( skol10,
% 94.33/94.71 relation_dom( relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 parent1[0]: (43) {G0,W2,D2,L1,V0,M1} I { relation( skol9 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (487) {G1,W12,D4,L4,V0,M4} R(46,40);r(43) { ! function( skol9
% 94.33/94.71 ), ! relation( skol8 ), ! function( skol8 ), ! in( skol10, relation_dom
% 94.33/94.71 ( relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 parent0: (81432) {G1,W12,D4,L4,V0,M4} { ! function( skol9 ), ! relation(
% 94.33/94.71 skol8 ), ! function( skol8 ), ! in( skol10, relation_dom(
% 94.33/94.71 relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 1 ==> 1
% 94.33/94.71 2 ==> 2
% 94.33/94.71 3 ==> 3
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 eqswap: (81434) {G0,W11,D4,L1,V0,M1} { ! apply( relation_composition(
% 94.33/94.71 skol8, skol9 ), skol10 ) ==> apply( skol9, apply( skol8, skol10 ) ) }.
% 94.33/94.71 parent0[0]: (46) {G0,W11,D4,L1,V0,M1} I { ! apply( skol9, apply( skol8,
% 94.33/94.71 skol10 ) ) ==> apply( relation_composition( skol8, skol9 ), skol10 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 paramod: (81436) {G1,W17,D4,L4,V0,M4} { ! apply( relation_composition(
% 94.33/94.71 skol8, skol9 ), skol10 ) ==> empty_set, ! relation( skol9 ), ! function(
% 94.33/94.71 skol9 ), in( apply( skol8, skol10 ), relation_dom( skol9 ) ) }.
% 94.33/94.71 parent0[3]: (53) {G1,W13,D3,L4,V2,M4} Q(6) { ! relation( X ), ! function( X
% 94.33/94.71 ), in( Y, relation_dom( X ) ), apply( X, Y ) ==> empty_set }.
% 94.33/94.71 parent1[0; 7]: (81434) {G0,W11,D4,L1,V0,M1} { ! apply(
% 94.33/94.71 relation_composition( skol8, skol9 ), skol10 ) ==> apply( skol9, apply(
% 94.33/94.71 skol8, skol10 ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := skol9
% 94.33/94.71 Y := apply( skol8, skol10 )
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81445) {G1,W15,D4,L3,V0,M3} { ! apply( relation_composition(
% 94.33/94.71 skol8, skol9 ), skol10 ) ==> empty_set, ! function( skol9 ), in( apply(
% 94.33/94.71 skol8, skol10 ), relation_dom( skol9 ) ) }.
% 94.33/94.71 parent0[1]: (81436) {G1,W17,D4,L4,V0,M4} { ! apply( relation_composition(
% 94.33/94.71 skol8, skol9 ), skol10 ) ==> empty_set, ! relation( skol9 ), ! function(
% 94.33/94.71 skol9 ), in( apply( skol8, skol10 ), relation_dom( skol9 ) ) }.
% 94.33/94.71 parent1[0]: (43) {G0,W2,D2,L1,V0,M1} I { relation( skol9 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (599) {G2,W15,D4,L3,V0,M3} P(53,46);r(43) { ! apply(
% 94.33/94.71 relation_composition( skol8, skol9 ), skol10 ) ==> empty_set, ! function
% 94.33/94.71 ( skol9 ), in( apply( skol8, skol10 ), relation_dom( skol9 ) ) }.
% 94.33/94.71 parent0: (81445) {G1,W15,D4,L3,V0,M3} { ! apply( relation_composition(
% 94.33/94.71 skol8, skol9 ), skol10 ) ==> empty_set, ! function( skol9 ), in( apply(
% 94.33/94.71 skol8, skol10 ), relation_dom( skol9 ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 1 ==> 1
% 94.33/94.71 2 ==> 2
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81447) {G1,W4,D3,L1,V0,M1} { relation( relation_composition(
% 94.33/94.71 skol8, skol9 ) ) }.
% 94.33/94.71 parent0[0]: (169) {G1,W6,D3,L2,V1,M2} R(10,41) { ! relation( X ), relation
% 94.33/94.71 ( relation_composition( skol8, X ) ) }.
% 94.33/94.71 parent1[0]: (43) {G0,W2,D2,L1,V0,M1} I { relation( skol9 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := skol9
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (1409) {G2,W4,D3,L1,V0,M1} R(169,43) { relation(
% 94.33/94.71 relation_composition( skol8, skol9 ) ) }.
% 94.33/94.71 parent0: (81447) {G1,W4,D3,L1,V0,M1} { relation( relation_composition(
% 94.33/94.71 skol8, skol9 ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81448) {G1,W6,D3,L2,V0,M2} { ! function( skol9 ), function(
% 94.33/94.71 relation_composition( skol8, skol9 ) ) }.
% 94.33/94.71 parent0[0]: (237) {G1,W8,D3,L3,V1,M3} R(17,41);r(42) { ! relation( X ), !
% 94.33/94.71 function( X ), function( relation_composition( skol8, X ) ) }.
% 94.33/94.71 parent1[0]: (43) {G0,W2,D2,L1,V0,M1} I { relation( skol9 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := skol9
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81449) {G1,W4,D3,L1,V0,M1} { function( relation_composition(
% 94.33/94.71 skol8, skol9 ) ) }.
% 94.33/94.71 parent0[0]: (81448) {G1,W6,D3,L2,V0,M2} { ! function( skol9 ), function(
% 94.33/94.71 relation_composition( skol8, skol9 ) ) }.
% 94.33/94.71 parent1[0]: (44) {G0,W2,D2,L1,V0,M1} I { function( skol9 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (14472) {G2,W4,D3,L1,V0,M1} R(237,43);r(44) { function(
% 94.33/94.71 relation_composition( skol8, skol9 ) ) }.
% 94.33/94.71 parent0: (81449) {G1,W4,D3,L1,V0,M1} { function( relation_composition(
% 94.33/94.71 skol8, skol9 ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81451) {G1,W13,D4,L2,V0,M2} { ! apply( relation_composition(
% 94.33/94.71 skol8, skol9 ), skol10 ) ==> empty_set, in( apply( skol8, skol10 ),
% 94.33/94.71 relation_dom( skol9 ) ) }.
% 94.33/94.71 parent0[1]: (599) {G2,W15,D4,L3,V0,M3} P(53,46);r(43) { ! apply(
% 94.33/94.71 relation_composition( skol8, skol9 ), skol10 ) ==> empty_set, ! function
% 94.33/94.71 ( skol9 ), in( apply( skol8, skol10 ), relation_dom( skol9 ) ) }.
% 94.33/94.71 parent1[0]: (44) {G0,W2,D2,L1,V0,M1} I { function( skol9 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (20243) {G3,W13,D4,L2,V0,M2} S(599);r(44) { ! apply(
% 94.33/94.71 relation_composition( skol8, skol9 ), skol10 ) ==> empty_set, in( apply(
% 94.33/94.71 skol8, skol10 ), relation_dom( skol9 ) ) }.
% 94.33/94.71 parent0: (81451) {G1,W13,D4,L2,V0,M2} { ! apply( relation_composition(
% 94.33/94.71 skol8, skol9 ), skol10 ) ==> empty_set, in( apply( skol8, skol10 ),
% 94.33/94.71 relation_dom( skol9 ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 1 ==> 1
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81453) {G1,W10,D4,L3,V0,M3} { ! relation( skol8 ), ! function
% 94.33/94.71 ( skol8 ), ! in( skol10, relation_dom( relation_composition( skol8, skol9
% 94.33/94.71 ) ) ) }.
% 94.33/94.71 parent0[0]: (487) {G1,W12,D4,L4,V0,M4} R(46,40);r(43) { ! function( skol9 )
% 94.33/94.71 , ! relation( skol8 ), ! function( skol8 ), ! in( skol10, relation_dom(
% 94.33/94.71 relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 parent1[0]: (44) {G0,W2,D2,L1,V0,M1} I { function( skol9 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81454) {G1,W8,D4,L2,V0,M2} { ! function( skol8 ), ! in(
% 94.33/94.71 skol10, relation_dom( relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 parent0[0]: (81453) {G1,W10,D4,L3,V0,M3} { ! relation( skol8 ), ! function
% 94.33/94.71 ( skol8 ), ! in( skol10, relation_dom( relation_composition( skol8, skol9
% 94.33/94.71 ) ) ) }.
% 94.33/94.71 parent1[0]: (41) {G0,W2,D2,L1,V0,M1} I { relation( skol8 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81455) {G1,W6,D4,L1,V0,M1} { ! in( skol10, relation_dom(
% 94.33/94.71 relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 parent0[0]: (81454) {G1,W8,D4,L2,V0,M2} { ! function( skol8 ), ! in(
% 94.33/94.71 skol10, relation_dom( relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 parent1[0]: (42) {G0,W2,D2,L1,V0,M1} I { function( skol8 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (20244) {G2,W6,D4,L1,V0,M1} S(487);r(44);r(41);r(42) { ! in(
% 94.33/94.71 skol10, relation_dom( relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 parent0: (81455) {G1,W6,D4,L1,V0,M1} { ! in( skol10, relation_dom(
% 94.33/94.71 relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 eqswap: (81456) {G1,W13,D3,L4,V2,M4} { empty_set ==> apply( X, Y ), !
% 94.33/94.71 relation( X ), ! function( X ), in( Y, relation_dom( X ) ) }.
% 94.33/94.71 parent0[3]: (53) {G1,W13,D3,L4,V2,M4} Q(6) { ! relation( X ), ! function( X
% 94.33/94.71 ), in( Y, relation_dom( X ) ), apply( X, Y ) ==> empty_set }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := X
% 94.33/94.71 Y := Y
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81457) {G2,W15,D4,L3,V0,M3} { empty_set ==> apply(
% 94.33/94.71 relation_composition( skol8, skol9 ), skol10 ), ! relation(
% 94.33/94.71 relation_composition( skol8, skol9 ) ), ! function( relation_composition
% 94.33/94.71 ( skol8, skol9 ) ) }.
% 94.33/94.71 parent0[0]: (20244) {G2,W6,D4,L1,V0,M1} S(487);r(44);r(41);r(42) { ! in(
% 94.33/94.71 skol10, relation_dom( relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 parent1[3]: (81456) {G1,W13,D3,L4,V2,M4} { empty_set ==> apply( X, Y ), !
% 94.33/94.71 relation( X ), ! function( X ), in( Y, relation_dom( X ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 X := relation_composition( skol8, skol9 )
% 94.33/94.71 Y := skol10
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81458) {G3,W11,D4,L2,V0,M2} { empty_set ==> apply(
% 94.33/94.71 relation_composition( skol8, skol9 ), skol10 ), ! function(
% 94.33/94.71 relation_composition( skol8, skol9 ) ) }.
% 94.33/94.71 parent0[1]: (81457) {G2,W15,D4,L3,V0,M3} { empty_set ==> apply(
% 94.33/94.71 relation_composition( skol8, skol9 ), skol10 ), ! relation(
% 94.33/94.71 relation_composition( skol8, skol9 ) ), ! function( relation_composition
% 94.33/94.71 ( skol8, skol9 ) ) }.
% 94.33/94.71 parent1[0]: (1409) {G2,W4,D3,L1,V0,M1} R(169,43) { relation(
% 94.33/94.71 relation_composition( skol8, skol9 ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 eqswap: (81459) {G3,W11,D4,L2,V0,M2} { apply( relation_composition( skol8
% 94.33/94.71 , skol9 ), skol10 ) ==> empty_set, ! function( relation_composition(
% 94.33/94.71 skol8, skol9 ) ) }.
% 94.33/94.71 parent0[0]: (81458) {G3,W11,D4,L2,V0,M2} { empty_set ==> apply(
% 94.33/94.71 relation_composition( skol8, skol9 ), skol10 ), ! function(
% 94.33/94.71 relation_composition( skol8, skol9 ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (20251) {G3,W11,D4,L2,V0,M2} R(20244,53);r(1409) { ! function
% 94.33/94.71 ( relation_composition( skol8, skol9 ) ), apply( relation_composition(
% 94.33/94.71 skol8, skol9 ), skol10 ) ==> empty_set }.
% 94.33/94.71 parent0: (81459) {G3,W11,D4,L2,V0,M2} { apply( relation_composition( skol8
% 94.33/94.71 , skol9 ), skol10 ) ==> empty_set, ! function( relation_composition(
% 94.33/94.71 skol8, skol9 ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 1
% 94.33/94.71 1 ==> 0
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81461) {G3,W7,D4,L1,V0,M1} { apply( relation_composition(
% 94.33/94.71 skol8, skol9 ), skol10 ) ==> empty_set }.
% 94.33/94.71 parent0[0]: (20251) {G3,W11,D4,L2,V0,M2} R(20244,53);r(1409) { ! function(
% 94.33/94.71 relation_composition( skol8, skol9 ) ), apply( relation_composition(
% 94.33/94.71 skol8, skol9 ), skol10 ) ==> empty_set }.
% 94.33/94.71 parent1[0]: (14472) {G2,W4,D3,L1,V0,M1} R(237,43);r(44) { function(
% 94.33/94.71 relation_composition( skol8, skol9 ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (40663) {G4,W7,D4,L1,V0,M1} S(20251);r(14472) { apply(
% 94.33/94.71 relation_composition( skol8, skol9 ), skol10 ) ==> empty_set }.
% 94.33/94.71 parent0: (81461) {G3,W7,D4,L1,V0,M1} { apply( relation_composition( skol8
% 94.33/94.71 , skol9 ), skol10 ) ==> empty_set }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 paramod: (81465) {G4,W9,D3,L2,V0,M2} { ! empty_set ==> empty_set, in(
% 94.33/94.71 apply( skol8, skol10 ), relation_dom( skol9 ) ) }.
% 94.33/94.71 parent0[0]: (40663) {G4,W7,D4,L1,V0,M1} S(20251);r(14472) { apply(
% 94.33/94.71 relation_composition( skol8, skol9 ), skol10 ) ==> empty_set }.
% 94.33/94.71 parent1[0; 2]: (20243) {G3,W13,D4,L2,V0,M2} S(599);r(44) { ! apply(
% 94.33/94.71 relation_composition( skol8, skol9 ), skol10 ) ==> empty_set, in( apply(
% 94.33/94.71 skol8, skol10 ), relation_dom( skol9 ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 eqrefl: (81466) {G0,W6,D3,L1,V0,M1} { in( apply( skol8, skol10 ),
% 94.33/94.71 relation_dom( skol9 ) ) }.
% 94.33/94.71 parent0[0]: (81465) {G4,W9,D3,L2,V0,M2} { ! empty_set ==> empty_set, in(
% 94.33/94.71 apply( skol8, skol10 ), relation_dom( skol9 ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (40664) {G5,W6,D3,L1,V0,M1} S(20243);d(40663);q { in( apply(
% 94.33/94.71 skol8, skol10 ), relation_dom( skol9 ) ) }.
% 94.33/94.71 parent0: (81466) {G0,W6,D3,L1,V0,M1} { in( apply( skol8, skol10 ),
% 94.33/94.71 relation_dom( skol9 ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81468) {G2,W14,D4,L4,V0,M4} { ! relation( skol8 ), ! function
% 94.33/94.71 ( skol8 ), ! in( skol10, relation_dom( skol8 ) ), in( skol10,
% 94.33/94.71 relation_dom( relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 parent0[3]: (437) {G1,W20,D4,L5,V2,M5} R(39,43);r(44) { ! relation( X ), !
% 94.33/94.71 function( X ), ! in( Y, relation_dom( X ) ), ! in( apply( X, Y ),
% 94.33/94.71 relation_dom( skol9 ) ), in( Y, relation_dom( relation_composition( X,
% 94.33/94.71 skol9 ) ) ) }.
% 94.33/94.71 parent1[0]: (40664) {G5,W6,D3,L1,V0,M1} S(20243);d(40663);q { in( apply(
% 94.33/94.71 skol8, skol10 ), relation_dom( skol9 ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 X := skol8
% 94.33/94.71 Y := skol10
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81469) {G1,W12,D4,L3,V0,M3} { ! function( skol8 ), ! in(
% 94.33/94.71 skol10, relation_dom( skol8 ) ), in( skol10, relation_dom(
% 94.33/94.71 relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 parent0[0]: (81468) {G2,W14,D4,L4,V0,M4} { ! relation( skol8 ), ! function
% 94.33/94.71 ( skol8 ), ! in( skol10, relation_dom( skol8 ) ), in( skol10,
% 94.33/94.71 relation_dom( relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 parent1[0]: (41) {G0,W2,D2,L1,V0,M1} I { relation( skol8 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (71011) {G6,W12,D4,L3,V0,M3} R(437,40664);r(41) { ! function(
% 94.33/94.71 skol8 ), ! in( skol10, relation_dom( skol8 ) ), in( skol10, relation_dom
% 94.33/94.71 ( relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 parent0: (81469) {G1,W12,D4,L3,V0,M3} { ! function( skol8 ), ! in( skol10
% 94.33/94.71 , relation_dom( skol8 ) ), in( skol10, relation_dom( relation_composition
% 94.33/94.71 ( skol8, skol9 ) ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 0 ==> 0
% 94.33/94.71 1 ==> 1
% 94.33/94.71 2 ==> 2
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81470) {G1,W10,D4,L2,V0,M2} { ! in( skol10, relation_dom(
% 94.33/94.71 skol8 ) ), in( skol10, relation_dom( relation_composition( skol8, skol9 )
% 94.33/94.71 ) ) }.
% 94.33/94.71 parent0[0]: (71011) {G6,W12,D4,L3,V0,M3} R(437,40664);r(41) { ! function(
% 94.33/94.71 skol8 ), ! in( skol10, relation_dom( skol8 ) ), in( skol10, relation_dom
% 94.33/94.71 ( relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 parent1[0]: (42) {G0,W2,D2,L1,V0,M1} I { function( skol8 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81471) {G1,W6,D4,L1,V0,M1} { in( skol10, relation_dom(
% 94.33/94.71 relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 parent0[0]: (81470) {G1,W10,D4,L2,V0,M2} { ! in( skol10, relation_dom(
% 94.33/94.71 skol8 ) ), in( skol10, relation_dom( relation_composition( skol8, skol9 )
% 94.33/94.71 ) ) }.
% 94.33/94.71 parent1[0]: (45) {G0,W4,D3,L1,V0,M1} I { in( skol10, relation_dom( skol8 )
% 94.33/94.71 ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 resolution: (81472) {G2,W0,D0,L0,V0,M0} { }.
% 94.33/94.71 parent0[0]: (20244) {G2,W6,D4,L1,V0,M1} S(487);r(44);r(41);r(42) { ! in(
% 94.33/94.71 skol10, relation_dom( relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 parent1[0]: (81471) {G1,W6,D4,L1,V0,M1} { in( skol10, relation_dom(
% 94.33/94.71 relation_composition( skol8, skol9 ) ) ) }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 substitution1:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 subsumption: (81115) {G7,W0,D0,L0,V0,M0} S(71011);r(42);r(45);r(20244) {
% 94.33/94.71 }.
% 94.33/94.71 parent0: (81472) {G2,W0,D0,L0,V0,M0} { }.
% 94.33/94.71 substitution0:
% 94.33/94.71 end
% 94.33/94.71 permutation0:
% 94.33/94.71 end
% 94.33/94.71
% 94.33/94.71 Proof check complete!
% 94.33/94.71
% 94.33/94.71 Memory use:
% 94.33/94.71
% 94.33/94.71 space for terms: 973080
% 94.33/94.71 space for clauses: 3949735
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 clauses generated: 547854
% 94.33/94.71 clauses kept: 81116
% 94.33/94.71 clauses selected: 1281
% 94.33/94.71 clauses deleted: 2914
% 94.33/94.71 clauses inuse deleted: 60
% 94.33/94.71
% 94.33/94.71 subsentry: 767181
% 94.33/94.71 literals s-matched: 283567
% 94.33/94.71 literals matched: 281044
% 94.33/94.71 full subsumption: 73882
% 94.33/94.71
% 94.33/94.71 checksum: 1328863986
% 94.33/94.71
% 94.33/94.71
% 94.33/94.71 Bliksem ended
%------------------------------------------------------------------------------