TSTP Solution File: SEU291+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU291+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 07:12:11 EDT 2022
% Result : Theorem 169.14s 169.52s
% Output : Refutation 169.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU291+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n013.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 : Sun Jun 19 13:09:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.46/1.85 *** allocated 10000 integers for termspace/termends
% 1.46/1.85 *** allocated 10000 integers for clauses
% 1.46/1.85 *** allocated 10000 integers for justifications
% 1.46/1.85 Bliksem 1.12
% 1.46/1.85
% 1.46/1.85
% 1.46/1.85 Automatic Strategy Selection
% 1.46/1.85
% 1.46/1.85
% 1.46/1.85 Clauses:
% 1.46/1.85
% 1.46/1.85 { ! in( X, Y ), ! in( Y, X ) }.
% 1.46/1.85 { ! empty( X ), function( X ) }.
% 1.46/1.85 { ! empty( X ), relation( X ) }.
% 1.46/1.85 { ! element( X, powerset( cartesian_product2( Y, Z ) ) ), relation( X ) }.
% 1.46/1.85 { ! relation( X ), ! empty( X ), ! function( X ), relation( X ) }.
% 1.46/1.85 { ! relation( X ), ! empty( X ), ! function( X ), function( X ) }.
% 1.46/1.85 { ! relation( X ), ! empty( X ), ! function( X ), one_to_one( X ) }.
% 1.46/1.85 { ! relation_of2_as_subset( Z, X, Y ), alpha1( X, Y ), ! quasi_total( Z, X
% 1.46/1.85 , Y ), X = relation_dom_as_subset( X, Y, Z ) }.
% 1.46/1.85 { ! relation_of2_as_subset( Z, X, Y ), alpha1( X, Y ), ! X =
% 1.46/1.85 relation_dom_as_subset( X, Y, Z ), quasi_total( Z, X, Y ) }.
% 1.46/1.85 { ! relation_of2_as_subset( Z, X, Y ), ! Y = empty_set, X = empty_set, !
% 1.46/1.85 quasi_total( Z, X, Y ), Z = empty_set }.
% 1.46/1.85 { ! relation_of2_as_subset( Z, X, Y ), ! Y = empty_set, X = empty_set, ! Z
% 1.46/1.85 = empty_set, quasi_total( Z, X, Y ) }.
% 1.46/1.85 { ! alpha1( X, Y ), Y = empty_set }.
% 1.46/1.85 { ! alpha1( X, Y ), ! X = empty_set }.
% 1.46/1.85 { ! Y = empty_set, X = empty_set, alpha1( X, Y ) }.
% 1.46/1.85 { && }.
% 1.46/1.85 { && }.
% 1.46/1.85 { && }.
% 1.46/1.85 { && }.
% 1.46/1.85 { ! relation_of2( Z, X, Y ), element( relation_dom_as_subset( X, Y, Z ),
% 1.46/1.85 powerset( X ) ) }.
% 1.46/1.85 { && }.
% 1.46/1.85 { && }.
% 1.46/1.85 { ! relation_of2_as_subset( Z, X, Y ), element( Z, powerset(
% 1.46/1.85 cartesian_product2( X, Y ) ) ) }.
% 1.46/1.85 { relation_of2( skol1( X, Y ), X, Y ) }.
% 1.46/1.85 { element( skol2( X ), X ) }.
% 1.46/1.85 { relation_of2_as_subset( skol3( X, Y ), X, Y ) }.
% 1.46/1.85 { empty( empty_set ) }.
% 1.46/1.85 { relation( empty_set ) }.
% 1.46/1.85 { relation_empty_yielding( empty_set ) }.
% 1.46/1.85 { ! empty( powerset( X ) ) }.
% 1.46/1.85 { empty( empty_set ) }.
% 1.46/1.85 { empty( empty_set ) }.
% 1.46/1.85 { relation( empty_set ) }.
% 1.46/1.85 { empty( X ), empty( Y ), ! empty( cartesian_product2( X, Y ) ) }.
% 1.46/1.85 { empty( X ), ! relation( X ), ! empty( relation_dom( X ) ) }.
% 1.46/1.85 { ! empty( X ), empty( relation_dom( X ) ) }.
% 1.46/1.85 { ! empty( X ), relation( relation_dom( X ) ) }.
% 1.46/1.85 { relation( skol4 ) }.
% 1.46/1.85 { function( skol4 ) }.
% 1.46/1.85 { relation( skol5( Z, T ) ) }.
% 1.46/1.85 { function( skol5( Z, T ) ) }.
% 1.46/1.85 { relation_of2( skol5( X, Y ), X, Y ) }.
% 1.46/1.85 { quasi_total( skol5( X, Y ), X, Y ) }.
% 1.46/1.85 { relation( skol6 ) }.
% 1.46/1.85 { function( skol6 ) }.
% 1.46/1.85 { one_to_one( skol6 ) }.
% 1.46/1.85 { empty( skol6 ) }.
% 1.46/1.85 { empty( skol7 ) }.
% 1.46/1.85 { relation( skol7 ) }.
% 1.46/1.85 { empty( X ), ! empty( skol8( Y ) ) }.
% 1.46/1.85 { empty( X ), element( skol8( X ), powerset( X ) ) }.
% 1.46/1.85 { empty( skol9 ) }.
% 1.46/1.85 { relation( skol10 ) }.
% 1.46/1.85 { empty( skol10 ) }.
% 1.46/1.85 { function( skol10 ) }.
% 1.46/1.85 { relation( skol11( Z, T ) ) }.
% 1.46/1.85 { function( skol11( Z, T ) ) }.
% 1.46/1.85 { relation_of2( skol11( X, Y ), X, Y ) }.
% 1.46/1.85 { ! empty( skol12 ) }.
% 1.46/1.85 { relation( skol12 ) }.
% 1.46/1.85 { empty( skol13( Y ) ) }.
% 1.46/1.85 { element( skol13( X ), powerset( X ) ) }.
% 1.46/1.85 { ! empty( skol14 ) }.
% 1.46/1.85 { relation( skol15 ) }.
% 1.46/1.85 { function( skol15 ) }.
% 1.46/1.85 { one_to_one( skol15 ) }.
% 1.46/1.85 { relation( skol16 ) }.
% 1.46/1.85 { relation_empty_yielding( skol16 ) }.
% 1.46/1.85 { relation( skol17 ) }.
% 1.46/1.85 { relation_empty_yielding( skol17 ) }.
% 1.46/1.85 { function( skol17 ) }.
% 1.46/1.85 { ! relation_of2( Z, X, Y ), relation_dom_as_subset( X, Y, Z ) =
% 1.46/1.85 relation_dom( Z ) }.
% 1.46/1.85 { ! relation_of2_as_subset( Z, X, Y ), relation_of2( Z, X, Y ) }.
% 1.46/1.85 { ! relation_of2( Z, X, Y ), relation_of2_as_subset( Z, X, Y ) }.
% 1.46/1.85 { subset( X, X ) }.
% 1.46/1.85 { ! relation_of2_as_subset( Z, Y, X ), ! subset( X, T ),
% 1.46/1.85 relation_of2_as_subset( Z, Y, T ) }.
% 1.46/1.85 { ! in( X, Y ), element( X, Y ) }.
% 1.46/1.85 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 1.46/1.85 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 1.46/1.85 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 1.46/1.85 { ! subset( X, empty_set ), X = empty_set }.
% 1.46/1.85 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 1.46/1.85 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 1.46/1.85 { ! empty( X ), X = empty_set }.
% 1.46/1.85 { ! in( X, Y ), ! empty( Y ) }.
% 1.46/1.85 { ! empty( X ), X = Y, ! empty( Y ) }.
% 1.46/1.85 { function( skol20 ) }.
% 1.46/1.85 { quasi_total( skol20, skol18, skol19 ) }.
% 1.46/1.85 { relation_of2_as_subset( skol20, skol18, skol19 ) }.
% 1.46/1.85 { subset( skol19, skol21 ) }.
% 1.46/1.85 { ! skol19 = empty_set, skol18 = empty_set }.
% 1.46/1.85 { ! function( skol20 ), ! quasi_total( skol20, skol18, skol21 ), !
% 1.46/1.85 relation_of2_as_subset( skol20, skol18, skol21 ) }.
% 1.46/1.85
% 1.46/1.85 percentage equality = 0.130435, percentage horn = 0.901235
% 72.26/72.63 This is a problem with some equality
% 72.26/72.63
% 72.26/72.63
% 72.26/72.63
% 72.26/72.63 Options Used:
% 72.26/72.63
% 72.26/72.63 useres = 1
% 72.26/72.63 useparamod = 1
% 72.26/72.63 useeqrefl = 1
% 72.26/72.63 useeqfact = 1
% 72.26/72.63 usefactor = 1
% 72.26/72.63 usesimpsplitting = 0
% 72.26/72.63 usesimpdemod = 5
% 72.26/72.63 usesimpres = 3
% 72.26/72.63
% 72.26/72.63 resimpinuse = 1000
% 72.26/72.63 resimpclauses = 20000
% 72.26/72.63 substype = eqrewr
% 72.26/72.63 backwardsubs = 1
% 72.26/72.63 selectoldest = 5
% 72.26/72.63
% 72.26/72.63 litorderings [0] = split
% 72.26/72.63 litorderings [1] = extend the termordering, first sorting on arguments
% 72.26/72.63
% 72.26/72.63 termordering = kbo
% 72.26/72.63
% 72.26/72.63 litapriori = 0
% 72.26/72.63 termapriori = 1
% 72.26/72.63 litaposteriori = 0
% 72.26/72.63 termaposteriori = 0
% 72.26/72.63 demodaposteriori = 0
% 72.26/72.63 ordereqreflfact = 0
% 72.26/72.63
% 72.26/72.63 litselect = negord
% 72.26/72.63
% 72.26/72.63 maxweight = 15
% 72.26/72.63 maxdepth = 30000
% 72.26/72.63 maxlength = 115
% 72.26/72.63 maxnrvars = 195
% 72.26/72.63 excuselevel = 1
% 72.26/72.63 increasemaxweight = 1
% 72.26/72.63
% 72.26/72.63 maxselected = 10000000
% 72.26/72.63 maxnrclauses = 10000000
% 72.26/72.63
% 72.26/72.63 showgenerated = 0
% 72.26/72.63 showkept = 0
% 72.26/72.63 showselected = 0
% 72.26/72.63 showdeleted = 0
% 72.26/72.63 showresimp = 1
% 72.26/72.63 showstatus = 2000
% 72.26/72.63
% 72.26/72.63 prologoutput = 0
% 72.26/72.63 nrgoals = 5000000
% 72.26/72.63 totalproof = 1
% 72.26/72.63
% 72.26/72.63 Symbols occurring in the translation:
% 72.26/72.63
% 72.26/72.63 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 72.26/72.63 . [1, 2] (w:1, o:40, a:1, s:1, b:0),
% 72.26/72.63 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 72.26/72.63 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 72.26/72.63 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 72.26/72.63 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 72.26/72.63 in [37, 2] (w:1, o:64, a:1, s:1, b:0),
% 72.26/72.63 empty [38, 1] (w:1, o:30, a:1, s:1, b:0),
% 72.26/72.63 function [39, 1] (w:1, o:31, a:1, s:1, b:0),
% 72.26/72.63 relation [40, 1] (w:1, o:32, a:1, s:1, b:0),
% 72.26/72.63 cartesian_product2 [42, 2] (w:1, o:65, a:1, s:1, b:0),
% 72.26/72.63 powerset [43, 1] (w:1, o:34, a:1, s:1, b:0),
% 72.26/72.63 element [44, 2] (w:1, o:66, a:1, s:1, b:0),
% 72.26/72.63 one_to_one [45, 1] (w:1, o:33, a:1, s:1, b:0),
% 72.26/72.63 relation_of2_as_subset [46, 3] (w:1, o:74, a:1, s:1, b:0),
% 72.26/72.63 empty_set [47, 0] (w:1, o:9, a:1, s:1, b:0),
% 72.26/72.63 quasi_total [48, 3] (w:1, o:73, a:1, s:1, b:0),
% 72.26/72.63 relation_dom_as_subset [49, 3] (w:1, o:75, a:1, s:1, b:0),
% 72.26/72.63 relation_of2 [50, 3] (w:1, o:76, a:1, s:1, b:0),
% 72.26/72.63 relation_empty_yielding [51, 1] (w:1, o:36, a:1, s:1, b:0),
% 72.26/72.63 relation_dom [52, 1] (w:1, o:35, a:1, s:1, b:0),
% 72.26/72.63 subset [53, 2] (w:1, o:67, a:1, s:1, b:0),
% 72.26/72.63 alpha1 [55, 2] (w:1, o:68, a:1, s:1, b:1),
% 72.26/72.63 skol1 [56, 2] (w:1, o:69, a:1, s:1, b:1),
% 72.26/72.63 skol2 [57, 1] (w:1, o:38, a:1, s:1, b:1),
% 72.26/72.63 skol3 [58, 2] (w:1, o:70, a:1, s:1, b:1),
% 72.26/72.63 skol4 [59, 0] (w:1, o:11, a:1, s:1, b:1),
% 72.26/72.63 skol5 [60, 2] (w:1, o:71, a:1, s:1, b:1),
% 72.26/72.63 skol6 [61, 0] (w:1, o:12, a:1, s:1, b:1),
% 72.26/72.63 skol7 [62, 0] (w:1, o:13, a:1, s:1, b:1),
% 72.26/72.63 skol8 [63, 1] (w:1, o:39, a:1, s:1, b:1),
% 72.26/72.63 skol9 [64, 0] (w:1, o:14, a:1, s:1, b:1),
% 72.26/72.63 skol10 [65, 0] (w:1, o:15, a:1, s:1, b:1),
% 72.26/72.63 skol11 [66, 2] (w:1, o:72, a:1, s:1, b:1),
% 72.26/72.63 skol12 [67, 0] (w:1, o:16, a:1, s:1, b:1),
% 72.26/72.63 skol13 [68, 1] (w:1, o:37, a:1, s:1, b:1),
% 72.26/72.63 skol14 [69, 0] (w:1, o:17, a:1, s:1, b:1),
% 72.26/72.63 skol15 [70, 0] (w:1, o:18, a:1, s:1, b:1),
% 72.26/72.63 skol16 [71, 0] (w:1, o:19, a:1, s:1, b:1),
% 72.26/72.63 skol17 [72, 0] (w:1, o:20, a:1, s:1, b:1),
% 72.26/72.63 skol18 [73, 0] (w:1, o:21, a:1, s:1, b:1),
% 72.26/72.63 skol19 [74, 0] (w:1, o:22, a:1, s:1, b:1),
% 72.26/72.63 skol20 [75, 0] (w:1, o:23, a:1, s:1, b:1),
% 72.26/72.63 skol21 [76, 0] (w:1, o:24, a:1, s:1, b:1).
% 72.26/72.63
% 72.26/72.63
% 72.26/72.63 Starting Search:
% 72.26/72.63
% 72.26/72.63 *** allocated 15000 integers for clauses
% 72.26/72.63 *** allocated 22500 integers for clauses
% 72.26/72.63 *** allocated 33750 integers for clauses
% 72.26/72.63 *** allocated 15000 integers for termspace/termends
% 72.26/72.63 *** allocated 50625 integers for clauses
% 72.26/72.63 Resimplifying inuse:
% 72.26/72.63 Done
% 72.26/72.63
% 72.26/72.63 *** allocated 75937 integers for clauses
% 72.26/72.63 *** allocated 22500 integers for termspace/termends
% 72.26/72.63 *** allocated 113905 integers for clauses
% 72.26/72.63 *** allocated 33750 integers for termspace/termends
% 72.26/72.63
% 72.26/72.63 Intermediate Status:
% 72.26/72.63 Generated: 19109
% 72.26/72.63 Kept: 2000
% 72.26/72.63 Inuse: 282
% 72.26/72.63 Deleted: 102
% 72.26/72.63 Deletedinuse: 82
% 72.26/72.63
% 72.26/72.63 Resimplifying inuse:
% 72.26/72.63 Done
% 72.26/72.63
% 72.26/72.63 *** allocated 170857 integers for clauses
% 72.26/72.63 *** allocated 50625 integers for termspace/termends
% 72.26/72.63 Resimplifying inuse:
% 72.26/72.63 Done
% 72.26/72.63
% 72.26/72.63 *** allocated 75937 integers for termspace/termends
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 47082
% 169.14/169.52 Kept: 4002
% 169.14/169.52 Inuse: 402
% 169.14/169.52 Deleted: 171
% 169.14/169.52 Deletedinuse: 93
% 169.14/169.52
% 169.14/169.52 *** allocated 256285 integers for clauses
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 *** allocated 113905 integers for termspace/termends
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 105387
% 169.14/169.52 Kept: 6022
% 169.14/169.52 Inuse: 526
% 169.14/169.52 Deleted: 228
% 169.14/169.52 Deletedinuse: 102
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 *** allocated 384427 integers for clauses
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 126112
% 169.14/169.52 Kept: 8065
% 169.14/169.52 Inuse: 617
% 169.14/169.52 Deleted: 260
% 169.14/169.52 Deletedinuse: 103
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 *** allocated 576640 integers for clauses
% 169.14/169.52 *** allocated 170857 integers for termspace/termends
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 202577
% 169.14/169.52 Kept: 10084
% 169.14/169.52 Inuse: 755
% 169.14/169.52 Deleted: 313
% 169.14/169.52 Deletedinuse: 126
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 291660
% 169.14/169.52 Kept: 12085
% 169.14/169.52 Inuse: 888
% 169.14/169.52 Deleted: 348
% 169.14/169.52 Deletedinuse: 147
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 *** allocated 864960 integers for clauses
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 *** allocated 256285 integers for termspace/termends
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 389256
% 169.14/169.52 Kept: 14232
% 169.14/169.52 Inuse: 1006
% 169.14/169.52 Deleted: 426
% 169.14/169.52 Deletedinuse: 209
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 479213
% 169.14/169.52 Kept: 16886
% 169.14/169.52 Inuse: 1127
% 169.14/169.52 Deleted: 443
% 169.14/169.52 Deletedinuse: 219
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 544980
% 169.14/169.52 Kept: 19989
% 169.14/169.52 Inuse: 1168
% 169.14/169.52 Deleted: 447
% 169.14/169.52 Deletedinuse: 219
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying clauses:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 *** allocated 1297440 integers for clauses
% 169.14/169.52 *** allocated 384427 integers for termspace/termends
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 584640
% 169.14/169.52 Kept: 22010
% 169.14/169.52 Inuse: 1207
% 169.14/169.52 Deleted: 4033
% 169.14/169.52 Deletedinuse: 223
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 660551
% 169.14/169.52 Kept: 24030
% 169.14/169.52 Inuse: 1259
% 169.14/169.52 Deleted: 4038
% 169.14/169.52 Deletedinuse: 228
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 718644
% 169.14/169.52 Kept: 26177
% 169.14/169.52 Inuse: 1308
% 169.14/169.52 Deleted: 4038
% 169.14/169.52 Deletedinuse: 228
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 757910
% 169.14/169.52 Kept: 28198
% 169.14/169.52 Inuse: 1336
% 169.14/169.52 Deleted: 4038
% 169.14/169.52 Deletedinuse: 228
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 *** allocated 576640 integers for termspace/termends
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 792045
% 169.14/169.52 Kept: 30222
% 169.14/169.52 Inuse: 1371
% 169.14/169.52 Deleted: 4121
% 169.14/169.52 Deletedinuse: 310
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 *** allocated 1946160 integers for clauses
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 894092
% 169.14/169.52 Kept: 33760
% 169.14/169.52 Inuse: 1468
% 169.14/169.52 Deleted: 4130
% 169.14/169.52 Deletedinuse: 310
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 897347
% 169.14/169.52 Kept: 35980
% 169.14/169.52 Inuse: 1471
% 169.14/169.52 Deleted: 4142
% 169.14/169.52 Deletedinuse: 310
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 901048
% 169.14/169.52 Kept: 38065
% 169.14/169.52 Inuse: 1477
% 169.14/169.52 Deleted: 4167
% 169.14/169.52 Deletedinuse: 311
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 913626
% 169.14/169.52 Kept: 40641
% 169.14/169.52 Inuse: 1496
% 169.14/169.52 Deleted: 4168
% 169.14/169.52 Deletedinuse: 311
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying clauses:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 943129
% 169.14/169.52 Kept: 42753
% 169.14/169.52 Inuse: 1515
% 169.14/169.52 Deleted: 10698
% 169.14/169.52 Deletedinuse: 314
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 *** allocated 864960 integers for termspace/termends
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 972453
% 169.14/169.52 Kept: 44958
% 169.14/169.52 Inuse: 1560
% 169.14/169.52 Deleted: 10698
% 169.14/169.52 Deletedinuse: 314
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 *** allocated 2919240 integers for clauses
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 996434
% 169.14/169.52 Kept: 47336
% 169.14/169.52 Inuse: 1588
% 169.14/169.52 Deleted: 10700
% 169.14/169.52 Deletedinuse: 314
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 1030680
% 169.14/169.52 Kept: 49350
% 169.14/169.52 Inuse: 1635
% 169.14/169.52 Deleted: 10704
% 169.14/169.52 Deletedinuse: 316
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 1077880
% 169.14/169.52 Kept: 51420
% 169.14/169.52 Inuse: 1676
% 169.14/169.52 Deleted: 10705
% 169.14/169.52 Deletedinuse: 316
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 1113809
% 169.14/169.52 Kept: 53447
% 169.14/169.52 Inuse: 1714
% 169.14/169.52 Deleted: 10706
% 169.14/169.52 Deletedinuse: 316
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 1165515
% 169.14/169.52 Kept: 55793
% 169.14/169.52 Inuse: 1750
% 169.14/169.52 Deleted: 10713
% 169.14/169.52 Deletedinuse: 318
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 1214015
% 169.14/169.52 Kept: 57825
% 169.14/169.52 Inuse: 1792
% 169.14/169.52 Deleted: 10731
% 169.14/169.52 Deletedinuse: 332
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 1228522
% 169.14/169.52 Kept: 59872
% 169.14/169.52 Inuse: 1803
% 169.14/169.52 Deleted: 10824
% 169.14/169.52 Deletedinuse: 422
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying clauses:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 1261898
% 169.14/169.52 Kept: 61916
% 169.14/169.52 Inuse: 1846
% 169.14/169.52 Deleted: 17070
% 169.14/169.52 Deletedinuse: 445
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 1304736
% 169.14/169.52 Kept: 64162
% 169.14/169.52 Inuse: 1922
% 169.14/169.52 Deleted: 17094
% 169.14/169.52 Deletedinuse: 468
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 1323217
% 169.14/169.52 Kept: 66227
% 169.14/169.52 Inuse: 1946
% 169.14/169.52 Deleted: 17364
% 169.14/169.52 Deletedinuse: 738
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 *** allocated 1297440 integers for termspace/termends
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 1351864
% 169.14/169.52 Kept: 68252
% 169.14/169.52 Inuse: 1979
% 169.14/169.52 Deleted: 17375
% 169.14/169.52 Deletedinuse: 747
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 *** allocated 4378860 integers for clauses
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 1412772
% 169.14/169.52 Kept: 70390
% 169.14/169.52 Inuse: 2056
% 169.14/169.52 Deleted: 17379
% 169.14/169.52 Deletedinuse: 747
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 1432043
% 169.14/169.52 Kept: 72475
% 169.14/169.52 Inuse: 2085
% 169.14/169.52 Deleted: 17379
% 169.14/169.52 Deletedinuse: 747
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 1450694
% 169.14/169.52 Kept: 74749
% 169.14/169.52 Inuse: 2120
% 169.14/169.52 Deleted: 17386
% 169.14/169.52 Deletedinuse: 753
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 1489972
% 169.14/169.52 Kept: 76768
% 169.14/169.52 Inuse: 2192
% 169.14/169.52 Deleted: 17392
% 169.14/169.52 Deletedinuse: 753
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 1528903
% 169.14/169.52 Kept: 78790
% 169.14/169.52 Inuse: 2228
% 169.14/169.52 Deleted: 17395
% 169.14/169.52 Deletedinuse: 754
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Intermediate Status:
% 169.14/169.52 Generated: 1580511
% 169.14/169.52 Kept: 80961
% 169.14/169.52 Inuse: 2262
% 169.14/169.52 Deleted: 17395
% 169.14/169.52 Deletedinuse: 754
% 169.14/169.52
% 169.14/169.52 Resimplifying inuse:
% 169.14/169.52 Done
% 169.14/169.52
% 169.14/169.52 Resimplifying clauses:
% 169.14/169.52
% 169.14/169.52 Bliksems!, er is een bewijs:
% 169.14/169.52 % SZS status Theorem
% 169.14/169.52 % SZS output start Refutation
% 169.14/169.52
% 169.14/169.52 (3) {G0,W8,D4,L2,V3,M2} I { ! element( X, powerset( cartesian_product2( Y,
% 169.14/169.52 Z ) ) ), relation( X ) }.
% 169.14/169.52 (5) {G0,W17,D3,L4,V3,M4} I { ! relation_of2_as_subset( Z, X, Y ), alpha1( X
% 169.14/169.52 , Y ), ! quasi_total( Z, X, Y ), relation_dom_as_subset( X, Y, Z ) ==> X
% 169.14/169.52 }.
% 169.14/169.52 (6) {G0,W17,D3,L4,V3,M4} I { ! relation_of2_as_subset( Z, X, Y ), alpha1( X
% 169.14/169.52 , Y ), ! relation_dom_as_subset( X, Y, Z ) ==> X, quasi_total( Z, X, Y )
% 169.14/169.52 }.
% 169.14/169.52 (7) {G0,W17,D2,L5,V3,M5} I { ! relation_of2_as_subset( Z, X, Y ), ! Y =
% 169.14/169.52 empty_set, X = empty_set, ! quasi_total( Z, X, Y ), Z = empty_set }.
% 169.14/169.52 (8) {G0,W17,D2,L5,V3,M5} I { ! relation_of2_as_subset( Z, X, Y ), ! Y =
% 169.14/169.52 empty_set, X = empty_set, ! Z = empty_set, quasi_total( Z, X, Y ) }.
% 169.14/169.52 (9) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), Y = empty_set }.
% 169.14/169.52 (10) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! X = empty_set }.
% 169.14/169.52 (11) {G0,W9,D2,L3,V2,M3} I { ! Y = empty_set, X = empty_set, alpha1( X, Y )
% 169.14/169.52 }.
% 169.14/169.52 (13) {G0,W11,D3,L2,V3,M2} I { ! relation_of2( Z, X, Y ), element(
% 169.14/169.52 relation_dom_as_subset( X, Y, Z ), powerset( X ) ) }.
% 169.14/169.52 (14) {G0,W10,D4,L2,V3,M2} I { ! relation_of2_as_subset( Z, X, Y ), element
% 169.14/169.52 ( Z, powerset( cartesian_product2( X, Y ) ) ) }.
% 169.14/169.52 (16) {G0,W4,D3,L1,V1,M1} I { element( skol2( X ), X ) }.
% 169.14/169.52 (18) {G0,W2,D2,L1,V0,M1} I { empty( empty_set ) }.
% 169.14/169.52 (22) {G0,W8,D3,L3,V2,M3} I { empty( X ), empty( Y ), ! empty(
% 169.14/169.52 cartesian_product2( X, Y ) ) }.
% 169.14/169.52 (23) {G0,W7,D3,L3,V1,M3} I { empty( X ), ! relation( X ), ! empty(
% 169.14/169.52 relation_dom( X ) ) }.
% 169.14/169.52 (24) {G0,W5,D3,L2,V1,M2} I { ! empty( X ), empty( relation_dom( X ) ) }.
% 169.14/169.52 (30) {G0,W6,D3,L1,V2,M1} I { relation_of2( skol5( X, Y ), X, Y ) }.
% 169.14/169.52 (31) {G0,W6,D3,L1,V2,M1} I { quasi_total( skol5( X, Y ), X, Y ) }.
% 169.14/169.52 (47) {G0,W2,D2,L1,V0,M1} I { ! empty( skol12 ) }.
% 169.14/169.52 (49) {G0,W3,D3,L1,V1,M1} I { empty( skol13( Y ) ) }.
% 169.14/169.52 (50) {G0,W5,D3,L1,V1,M1} I { element( skol13( X ), powerset( X ) ) }.
% 169.14/169.52 (51) {G0,W2,D2,L1,V0,M1} I { ! empty( skol14 ) }.
% 169.14/169.52 (60) {G0,W11,D3,L2,V3,M2} I { ! relation_of2( Z, X, Y ),
% 169.14/169.52 relation_dom_as_subset( X, Y, Z ) ==> relation_dom( Z ) }.
% 169.14/169.52 (61) {G0,W8,D2,L2,V3,M2} I { ! relation_of2_as_subset( Z, X, Y ),
% 169.14/169.52 relation_of2( Z, X, Y ) }.
% 169.14/169.52 (62) {G0,W8,D2,L2,V3,M2} I { ! relation_of2( Z, X, Y ),
% 169.14/169.52 relation_of2_as_subset( Z, X, Y ) }.
% 169.14/169.52 (63) {G0,W3,D2,L1,V1,M1} I { subset( X, X ) }.
% 169.14/169.52 (64) {G0,W11,D2,L3,V4,M3} I { ! relation_of2_as_subset( Z, Y, X ), ! subset
% 169.14/169.52 ( X, T ), relation_of2_as_subset( Z, Y, T ) }.
% 169.14/169.52 (66) {G0,W8,D2,L3,V2,M3} I { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 169.14/169.52 (67) {G0,W7,D3,L2,V2,M2} I { ! element( X, powerset( Y ) ), subset( X, Y )
% 169.14/169.52 }.
% 169.14/169.52 (68) {G0,W7,D3,L2,V2,M2} I { ! subset( X, Y ), element( X, powerset( Y ) )
% 169.14/169.52 }.
% 169.14/169.52 (69) {G0,W6,D2,L2,V1,M2} I { ! subset( X, empty_set ), X = empty_set }.
% 169.14/169.52 (71) {G0,W9,D3,L3,V3,M3} I { ! in( X, Y ), ! element( Y, powerset( Z ) ), !
% 169.14/169.52 empty( Z ) }.
% 169.14/169.52 (72) {G0,W5,D2,L2,V1,M2} I { ! empty( X ), X = empty_set }.
% 169.14/169.52 (74) {G0,W7,D2,L3,V2,M3} I { ! empty( X ), X = Y, ! empty( Y ) }.
% 169.14/169.52 (75) {G0,W2,D2,L1,V0,M1} I { function( skol20 ) }.
% 169.14/169.52 (76) {G0,W4,D2,L1,V0,M1} I { quasi_total( skol20, skol18, skol19 ) }.
% 169.14/169.52 (77) {G0,W4,D2,L1,V0,M1} I { relation_of2_as_subset( skol20, skol18, skol19
% 169.14/169.52 ) }.
% 169.14/169.52 (78) {G0,W3,D2,L1,V0,M1} I { subset( skol19, skol21 ) }.
% 169.14/169.52 (79) {G0,W6,D2,L2,V0,M2} I { ! skol19 ==> empty_set, skol18 ==> empty_set
% 169.14/169.52 }.
% 169.14/169.52 (80) {G1,W8,D2,L2,V0,M2} I;r(75) { ! quasi_total( skol20, skol18, skol21 )
% 169.14/169.52 , ! relation_of2_as_subset( skol20, skol18, skol21 ) }.
% 169.14/169.52 (95) {G1,W3,D2,L1,V1,M1} Q(10) { ! alpha1( empty_set, X ) }.
% 169.14/169.52 (97) {G1,W6,D3,L2,V1,M2} F(22) { empty( X ), ! empty( cartesian_product2( X
% 169.14/169.52 , X ) ) }.
% 169.14/169.52 (221) {G1,W9,D3,L2,V0,M2} R(77,5);r(76) { alpha1( skol18, skol19 ),
% 169.14/169.52 relation_dom_as_subset( skol18, skol19, skol20 ) ==> skol18 }.
% 169.14/169.52 (257) {G1,W7,D2,L2,V1,M2} P(9,77) { relation_of2_as_subset( skol20, skol18
% 169.14/169.52 , empty_set ), ! alpha1( X, skol19 ) }.
% 169.14/169.52 (262) {G1,W6,D2,L2,V1,M2} P(9,78) { subset( skol19, empty_set ), ! alpha1(
% 169.14/169.52 X, skol21 ) }.
% 169.14/169.52 (267) {G1,W5,D2,L2,V2,M2} P(9,18) { empty( X ), ! alpha1( Y, X ) }.
% 169.14/169.52 (325) {G1,W9,D2,L3,V4,M3} P(9,10) { ! alpha1( Y, Z ), ! Y = X, ! alpha1( T
% 169.14/169.52 , X ) }.
% 169.14/169.52 (329) {G2,W6,D2,L2,V2,M2} F(325) { ! alpha1( X, Y ), ! X = Y }.
% 169.14/169.52 (345) {G1,W20,D2,L6,V4,M6} R(11,8) { ! X = empty_set, alpha1( Y, X ), !
% 169.14/169.52 relation_of2_as_subset( Y, Z, T ), ! T = empty_set, Z = empty_set,
% 169.14/169.52 quasi_total( Y, Z, T ) }.
% 169.14/169.52 (369) {G1,W8,D2,L3,V2,M3} P(11,18) { empty( X ), ! Y = empty_set, alpha1( X
% 169.14/169.52 , Y ) }.
% 169.14/169.52 (374) {G1,W6,D2,L2,V1,M2} P(11,47);r(18) { ! X = empty_set, alpha1( skol12
% 169.14/169.52 , X ) }.
% 169.14/169.52 (382) {G2,W5,D2,L2,V1,M2} Q(369) { empty( X ), alpha1( X, empty_set ) }.
% 169.14/169.52 (406) {G1,W9,D3,L2,V3,M2} S(13);d(60) { ! relation_of2( Z, X, Y ), element
% 169.14/169.52 ( relation_dom( Z ), powerset( X ) ) }.
% 169.14/169.52 (409) {G1,W6,D2,L2,V3,M2} R(14,3) { ! relation_of2_as_subset( X, Y, Z ),
% 169.14/169.52 relation( X ) }.
% 169.14/169.52 (567) {G1,W22,D3,L5,V4,M5} P(7,30) { relation_of2( empty_set, X, Y ), !
% 169.14/169.52 relation_of2_as_subset( skol5( X, Y ), Z, T ), ! T = empty_set, Z =
% 169.14/169.52 empty_set, ! quasi_total( skol5( X, Y ), Z, T ) }.
% 169.14/169.52 (657) {G1,W14,D3,L3,V2,M3} R(60,6);r(61) { ! relation_of2_as_subset( X,
% 169.14/169.52 relation_dom( X ), Y ), alpha1( relation_dom( X ), Y ), quasi_total( X,
% 169.14/169.52 relation_dom( X ), Y ) }.
% 169.14/169.52 (658) {G1,W15,D3,L4,V3,M4} P(60,6);r(62) { alpha1( X, Y ), ! relation_dom(
% 169.14/169.52 Z ) = X, quasi_total( Z, X, Y ), ! relation_of2( Z, X, Y ) }.
% 169.14/169.52 (669) {G1,W4,D2,L1,V0,M1} R(61,77) { relation_of2( skol20, skol18, skol19 )
% 169.14/169.52 }.
% 169.14/169.52 (670) {G2,W7,D3,L1,V0,M1} R(669,60) { relation_dom_as_subset( skol18,
% 169.14/169.52 skol19, skol20 ) ==> relation_dom( skol20 ) }.
% 169.14/169.52 (692) {G1,W6,D3,L1,V2,M1} R(62,30) { relation_of2_as_subset( skol5( X, Y )
% 169.14/169.52 , X, Y ) }.
% 169.14/169.52 (724) {G1,W7,D2,L2,V1,M2} R(64,77) { ! subset( skol19, X ),
% 169.14/169.52 relation_of2_as_subset( skol20, skol18, X ) }.
% 169.14/169.52 (762) {G1,W6,D3,L2,V1,M2} R(66,16) { empty( X ), in( skol2( X ), X ) }.
% 169.14/169.52 (792) {G1,W4,D3,L1,V1,M1} R(67,50) { subset( skol13( X ), X ) }.
% 169.14/169.52 (818) {G1,W4,D3,L1,V1,M1} R(68,63) { element( X, powerset( X ) ) }.
% 169.14/169.52 (821) {G2,W4,D3,L1,V2,M1} R(818,3) { relation( cartesian_product2( X, Y ) )
% 169.14/169.52 }.
% 169.14/169.52 (1012) {G1,W6,D3,L2,V1,M2} R(72,24) { relation_dom( X ) ==> empty_set, !
% 169.14/169.52 empty( X ) }.
% 169.14/169.52 (1020) {G1,W4,D3,L1,V1,M1} R(72,49) { skol13( X ) ==> empty_set }.
% 169.14/169.52 (1039) {G2,W3,D2,L1,V1,M1} P(72,792);d(1020);r(18) { subset( empty_set, X )
% 169.14/169.52 }.
% 169.14/169.52 (1063) {G1,W5,D2,L2,V0,M2} P(72,78) { subset( skol19, empty_set ), ! empty
% 169.14/169.52 ( skol21 ) }.
% 169.14/169.52 (1078) {G3,W5,D2,L2,V2,M2} P(72,1039) { subset( X, Y ), ! empty( X ) }.
% 169.14/169.52 (1125) {G1,W5,D2,L2,V0,M2} P(72,79);q { skol18 ==> empty_set, ! empty(
% 169.14/169.52 skol19 ) }.
% 169.14/169.52 (1411) {G3,W5,D2,L2,V1,M2} R(382,10) { empty( X ), ! X = empty_set }.
% 169.14/169.52 (1494) {G2,W6,D2,L2,V0,M2} P(1125,669) { relation_of2( skol20, empty_set,
% 169.14/169.52 skol19 ), ! empty( skol19 ) }.
% 169.14/169.52 (1503) {G2,W5,D2,L2,V0,M2} R(1063,69) { ! empty( skol21 ), skol19 ==>
% 169.14/169.52 empty_set }.
% 169.14/169.52 (1570) {G3,W5,D2,L2,V0,M2} R(1503,79) { ! empty( skol21 ), skol18 ==>
% 169.14/169.52 empty_set }.
% 169.14/169.52 (1586) {G4,W6,D2,L2,V0,M2} P(1503,76);d(1570) { ! empty( skol21 ),
% 169.14/169.52 quasi_total( skol20, empty_set, empty_set ) }.
% 169.14/169.52 (1841) {G2,W4,D3,L1,V0,M1} R(97,51) { ! empty( cartesian_product2( skol14,
% 169.14/169.52 skol14 ) ) }.
% 169.14/169.52 (1870) {G3,W5,D4,L1,V0,M1} R(1841,23);r(821) { ! empty( relation_dom(
% 169.14/169.52 cartesian_product2( skol14, skol14 ) ) ) }.
% 169.14/169.52 (2104) {G4,W6,D4,L1,V0,M1} R(1870,382) { alpha1( relation_dom(
% 169.14/169.52 cartesian_product2( skol14, skol14 ) ), empty_set ) }.
% 169.14/169.52 (2173) {G2,W2,D2,L1,V0,M1} R(409,77) { relation( skol20 ) }.
% 169.14/169.52 (2174) {G3,W5,D3,L2,V0,M2} R(2173,23) { empty( skol20 ), ! empty(
% 169.14/169.52 relation_dom( skol20 ) ) }.
% 169.14/169.52 (2186) {G4,W6,D3,L2,V0,M2} R(2174,72) { ! empty( relation_dom( skol20 ) ),
% 169.14/169.52 skol20 ==> empty_set }.
% 169.14/169.52 (3415) {G2,W6,D2,L2,V1,M2} R(374,69) { alpha1( skol12, X ), ! subset( X,
% 169.14/169.52 empty_set ) }.
% 169.14/169.52 (3981) {G3,W6,D2,L2,V1,M2} R(262,3415) { ! alpha1( X, skol21 ), alpha1(
% 169.14/169.52 skol12, skol19 ) }.
% 169.14/169.52 (4701) {G3,W8,D2,L3,V1,M3} P(74,1494);r(18) { relation_of2( skol20, X,
% 169.14/169.52 skol19 ), ! empty( skol19 ), ! empty( X ) }.
% 169.14/169.52 (4714) {G4,W6,D2,L2,V0,M2} F(4701) { relation_of2( skol20, skol19, skol19 )
% 169.14/169.52 , ! empty( skol19 ) }.
% 169.14/169.52 (4725) {G5,W6,D2,L2,V0,M2} R(4714,62) { ! empty( skol19 ),
% 169.14/169.52 relation_of2_as_subset( skol20, skol19, skol19 ) }.
% 169.14/169.52 (4757) {G6,W6,D2,L2,V1,M2} R(4725,64);r(1078) { ! empty( skol19 ),
% 169.14/169.52 relation_of2_as_subset( skol20, skol19, X ) }.
% 169.14/169.52 (4812) {G7,W6,D2,L2,V1,M2} R(4757,61) { ! empty( skol19 ), relation_of2(
% 169.14/169.52 skol20, skol19, X ) }.
% 169.14/169.52 (5444) {G2,W11,D3,L3,V2,M3} R(692,7);r(31) { ! X = empty_set, Y = empty_set
% 169.14/169.52 , skol5( Y, X ) ==> empty_set }.
% 169.14/169.52 (9581) {G3,W7,D3,L2,V0,M2} S(221);d(670) { alpha1( skol18, skol19 ),
% 169.14/169.52 relation_dom( skol20 ) ==> skol18 }.
% 169.14/169.52 (11615) {G3,W7,D2,L2,V2,M2} R(257,64);r(1039) { ! alpha1( X, skol19 ),
% 169.14/169.52 relation_of2_as_subset( skol20, skol18, Y ) }.
% 169.14/169.52 (11633) {G4,W7,D2,L2,V2,M2} R(11615,3981) { relation_of2_as_subset( skol20
% 169.14/169.52 , skol18, X ), ! alpha1( Y, skol21 ) }.
% 169.14/169.52 (11637) {G4,W7,D2,L2,V1,M2} R(11615,80) { ! alpha1( X, skol19 ), !
% 169.14/169.52 quasi_total( skol20, skol18, skol21 ) }.
% 169.14/169.52 (11666) {G5,W7,D2,L2,V1,M2} R(11633,80) { ! alpha1( X, skol21 ), !
% 169.14/169.52 quasi_total( skol20, skol18, skol21 ) }.
% 169.14/169.52 (11891) {G6,W5,D2,L2,V1,M2} P(72,11666);d(1570);r(1586) { ! alpha1( X,
% 169.14/169.52 empty_set ), ! empty( skol21 ) }.
% 169.14/169.52 (11906) {G7,W2,D2,L1,V0,M1} R(11891,2104) { ! empty( skol21 ) }.
% 169.14/169.52 (11973) {G8,W3,D2,L1,V1,M1} R(11906,267) { ! alpha1( X, skol21 ) }.
% 169.14/169.52 (12012) {G8,W6,D2,L2,V1,M2} P(11,11906);r(18) { ! X = empty_set, alpha1(
% 169.14/169.52 skol21, X ) }.
% 169.14/169.52 (13112) {G9,W5,D2,L2,V1,M2} R(12012,74);r(18) { alpha1( skol21, X ), !
% 169.14/169.52 empty( X ) }.
% 169.14/169.52 (17908) {G3,W13,D2,L4,V3,M4} R(345,692);d(5444);d(5444);r(329) { ! X =
% 169.14/169.52 empty_set, ! Z = empty_set, Y = empty_set, quasi_total( empty_set, Y, Z )
% 169.14/169.52 }.
% 169.14/169.52 (17909) {G4,W10,D2,L3,V2,M3} F(17908) { ! X = empty_set, Y = empty_set,
% 169.14/169.52 quasi_total( empty_set, Y, X ) }.
% 169.14/169.52 (17947) {G10,W6,D2,L2,V0,M2} R(11637,13112);d(1125) { ! empty( skol19 ), !
% 169.14/169.52 quasi_total( skol20, empty_set, skol21 ) }.
% 169.14/169.52 (18052) {G11,W10,D2,L4,V1,M4} P(74,17947) { ! empty( skol19 ), !
% 169.14/169.52 quasi_total( X, empty_set, skol21 ), ! empty( skol20 ), ! empty( X ) }.
% 169.14/169.52 (18063) {G12,W8,D2,L3,V0,M3} F(18052) { ! empty( skol19 ), ! quasi_total(
% 169.14/169.52 skol19, empty_set, skol21 ), ! empty( skol20 ) }.
% 169.14/169.52 (22623) {G2,W4,D2,L1,V0,M1} R(724,80);r(78) { ! quasi_total( skol20, skol18
% 169.14/169.52 , skol21 ) }.
% 169.14/169.52 (22628) {G2,W4,D2,L1,V0,M1} R(724,78) { relation_of2_as_subset( skol20,
% 169.14/169.52 skol18, skol21 ) }.
% 169.14/169.52 (22774) {G3,W4,D2,L1,V0,M1} R(22628,61) { relation_of2( skol20, skol18,
% 169.14/169.52 skol21 ) }.
% 169.14/169.52 (27745) {G4,W5,D3,L1,V0,M1} R(406,22774) { element( relation_dom( skol20 )
% 169.14/169.52 , powerset( skol18 ) ) }.
% 169.14/169.52 (27853) {G5,W6,D3,L2,V1,M2} R(27745,71) { ! in( X, relation_dom( skol20 ) )
% 169.14/169.52 , ! empty( skol18 ) }.
% 169.14/169.52 (28319) {G6,W5,D3,L2,V0,M2} R(27853,762) { ! empty( skol18 ), empty(
% 169.14/169.52 relation_dom( skol20 ) ) }.
% 169.14/169.52 (28956) {G7,W5,D2,L2,V0,M2} R(28319,2186) { ! empty( skol18 ), skol20 ==>
% 169.14/169.52 empty_set }.
% 169.14/169.52 (29162) {G8,W6,D2,L2,V1,M2} P(28956,4812);d(1125);r(18) { ! empty( skol19 )
% 169.14/169.52 , relation_of2( empty_set, skol19, X ) }.
% 169.14/169.52 (29180) {G8,W5,D2,L2,V0,M2} P(1125,28956);r(18) { skol20 ==> empty_set, !
% 169.14/169.52 empty( skol19 ) }.
% 169.14/169.52 (41262) {G13,W6,D2,L2,V0,M2} S(18063);d(29180);r(18) { ! empty( skol19 ), !
% 169.14/169.52 quasi_total( skol19, empty_set, skol21 ) }.
% 169.14/169.52 (54880) {G5,W10,D2,L3,V2,M3} R(567,692);d(5444);r(17909) { relation_of2(
% 169.14/169.52 empty_set, X, Y ), ! Y = empty_set, X = empty_set }.
% 169.14/169.52 (54881) {G6,W7,D2,L2,V1,M2} Q(54880) { relation_of2( empty_set, X,
% 169.14/169.52 empty_set ), X = empty_set }.
% 169.14/169.52 (54949) {G7,W6,D2,L2,V1,M2} R(54881,1411) { relation_of2( empty_set, X,
% 169.14/169.52 empty_set ), empty( X ) }.
% 169.14/169.52 (56809) {G9,W8,D2,L2,V1,M2} R(54949,29162) { relation_of2( empty_set,
% 169.14/169.52 skol19, empty_set ), relation_of2( empty_set, skol19, X ) }.
% 169.14/169.52 (56814) {G8,W6,D2,L2,V1,M2} R(54949,62) { empty( X ),
% 169.14/169.52 relation_of2_as_subset( empty_set, X, empty_set ) }.
% 169.14/169.52 (56832) {G10,W4,D2,L1,V0,M1} F(56809) { relation_of2( empty_set, skol19,
% 169.14/169.52 empty_set ) }.
% 169.14/169.52 (56837) {G11,W4,D2,L1,V0,M1} R(56832,62) { relation_of2_as_subset(
% 169.14/169.52 empty_set, skol19, empty_set ) }.
% 169.14/169.52 (56938) {G12,W6,D2,L2,V1,M2} P(74,56837);r(56814) { relation_of2_as_subset
% 169.14/169.52 ( empty_set, X, empty_set ), ! empty( skol19 ) }.
% 169.14/169.52 (57378) {G13,W6,D2,L2,V2,M2} R(56938,64);r(1039) { ! empty( skol19 ),
% 169.14/169.52 relation_of2_as_subset( empty_set, Y, X ) }.
% 169.14/169.52 (57578) {G14,W8,D2,L3,V3,M3} P(74,57378);r(18) { ! empty( skol19 ),
% 169.14/169.52 relation_of2_as_subset( X, Y, Z ), ! empty( X ) }.
% 169.14/169.52 (57580) {G15,W6,D2,L2,V2,M2} F(57578) { ! empty( skol19 ),
% 169.14/169.52 relation_of2_as_subset( skol19, X, Y ) }.
% 169.14/169.52 (63925) {G16,W6,D2,L2,V1,M2} R(657,57580);d(1012);d(1012);r(95) { ! empty(
% 169.14/169.52 skol19 ), quasi_total( skol19, empty_set, X ) }.
% 169.14/169.52 (64209) {G17,W2,D2,L1,V0,M1} R(63925,41262);f { ! empty( skol19 ) }.
% 169.14/169.52 (64378) {G18,W3,D2,L1,V1,M1} R(64209,267) { ! alpha1( X, skol19 ) }.
% 169.14/169.52 (64510) {G9,W8,D3,L2,V0,M2} R(658,22774);r(11973) { ! relation_dom( skol20
% 169.14/169.52 ) ==> skol18, quasi_total( skol20, skol18, skol21 ) }.
% 169.14/169.52 (81699) {G10,W4,D3,L1,V0,M1} S(64510);r(22623) { ! relation_dom( skol20 )
% 169.14/169.52 ==> skol18 }.
% 169.14/169.52 (81960) {G19,W0,D0,L0,V0,M0} S(9581);r(64378);r(81699) { }.
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 % SZS output end Refutation
% 169.14/169.52 found a proof!
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Unprocessed initial clauses:
% 169.14/169.52
% 169.14/169.52 (81962) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 169.14/169.52 (81963) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 169.14/169.52 (81964) {G0,W4,D2,L2,V1,M2} { ! empty( X ), relation( X ) }.
% 169.14/169.52 (81965) {G0,W8,D4,L2,V3,M2} { ! element( X, powerset( cartesian_product2(
% 169.14/169.52 Y, Z ) ) ), relation( X ) }.
% 169.14/169.52 (81966) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 169.14/169.52 ), relation( X ) }.
% 169.14/169.52 (81967) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 169.14/169.52 ), function( X ) }.
% 169.14/169.52 (81968) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 169.14/169.52 ), one_to_one( X ) }.
% 169.14/169.52 (81969) {G0,W17,D3,L4,V3,M4} { ! relation_of2_as_subset( Z, X, Y ), alpha1
% 169.14/169.52 ( X, Y ), ! quasi_total( Z, X, Y ), X = relation_dom_as_subset( X, Y, Z )
% 169.14/169.52 }.
% 169.14/169.52 (81970) {G0,W17,D3,L4,V3,M4} { ! relation_of2_as_subset( Z, X, Y ), alpha1
% 169.14/169.52 ( X, Y ), ! X = relation_dom_as_subset( X, Y, Z ), quasi_total( Z, X, Y )
% 169.14/169.52 }.
% 169.14/169.52 (81971) {G0,W17,D2,L5,V3,M5} { ! relation_of2_as_subset( Z, X, Y ), ! Y =
% 169.14/169.52 empty_set, X = empty_set, ! quasi_total( Z, X, Y ), Z = empty_set }.
% 169.14/169.52 (81972) {G0,W17,D2,L5,V3,M5} { ! relation_of2_as_subset( Z, X, Y ), ! Y =
% 169.14/169.52 empty_set, X = empty_set, ! Z = empty_set, quasi_total( Z, X, Y ) }.
% 169.14/169.52 (81973) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), Y = empty_set }.
% 169.14/169.52 (81974) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! X = empty_set }.
% 169.14/169.52 (81975) {G0,W9,D2,L3,V2,M3} { ! Y = empty_set, X = empty_set, alpha1( X, Y
% 169.14/169.52 ) }.
% 169.14/169.52 (81976) {G0,W1,D1,L1,V0,M1} { && }.
% 169.14/169.52 (81977) {G0,W1,D1,L1,V0,M1} { && }.
% 169.14/169.52 (81978) {G0,W1,D1,L1,V0,M1} { && }.
% 169.14/169.52 (81979) {G0,W1,D1,L1,V0,M1} { && }.
% 169.14/169.52 (81980) {G0,W11,D3,L2,V3,M2} { ! relation_of2( Z, X, Y ), element(
% 169.14/169.52 relation_dom_as_subset( X, Y, Z ), powerset( X ) ) }.
% 169.14/169.52 (81981) {G0,W1,D1,L1,V0,M1} { && }.
% 169.14/169.52 (81982) {G0,W1,D1,L1,V0,M1} { && }.
% 169.14/169.52 (81983) {G0,W10,D4,L2,V3,M2} { ! relation_of2_as_subset( Z, X, Y ),
% 169.14/169.52 element( Z, powerset( cartesian_product2( X, Y ) ) ) }.
% 169.14/169.52 (81984) {G0,W6,D3,L1,V2,M1} { relation_of2( skol1( X, Y ), X, Y ) }.
% 169.14/169.52 (81985) {G0,W4,D3,L1,V1,M1} { element( skol2( X ), X ) }.
% 169.14/169.52 (81986) {G0,W6,D3,L1,V2,M1} { relation_of2_as_subset( skol3( X, Y ), X, Y
% 169.14/169.52 ) }.
% 169.14/169.52 (81987) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 169.14/169.52 (81988) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 169.14/169.52 (81989) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 169.14/169.52 (81990) {G0,W3,D3,L1,V1,M1} { ! empty( powerset( X ) ) }.
% 169.14/169.52 (81991) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 169.14/169.52 (81992) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 169.14/169.52 (81993) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 169.14/169.52 (81994) {G0,W8,D3,L3,V2,M3} { empty( X ), empty( Y ), ! empty(
% 169.14/169.52 cartesian_product2( X, Y ) ) }.
% 169.14/169.52 (81995) {G0,W7,D3,L3,V1,M3} { empty( X ), ! relation( X ), ! empty(
% 169.14/169.52 relation_dom( X ) ) }.
% 169.14/169.52 (81996) {G0,W5,D3,L2,V1,M2} { ! empty( X ), empty( relation_dom( X ) ) }.
% 169.14/169.52 (81997) {G0,W5,D3,L2,V1,M2} { ! empty( X ), relation( relation_dom( X ) )
% 169.14/169.52 }.
% 169.14/169.52 (81998) {G0,W2,D2,L1,V0,M1} { relation( skol4 ) }.
% 169.14/169.52 (81999) {G0,W2,D2,L1,V0,M1} { function( skol4 ) }.
% 169.14/169.52 (82000) {G0,W4,D3,L1,V2,M1} { relation( skol5( Z, T ) ) }.
% 169.14/169.52 (82001) {G0,W4,D3,L1,V2,M1} { function( skol5( Z, T ) ) }.
% 169.14/169.52 (82002) {G0,W6,D3,L1,V2,M1} { relation_of2( skol5( X, Y ), X, Y ) }.
% 169.14/169.52 (82003) {G0,W6,D3,L1,V2,M1} { quasi_total( skol5( X, Y ), X, Y ) }.
% 169.14/169.52 (82004) {G0,W2,D2,L1,V0,M1} { relation( skol6 ) }.
% 169.14/169.52 (82005) {G0,W2,D2,L1,V0,M1} { function( skol6 ) }.
% 169.14/169.52 (82006) {G0,W2,D2,L1,V0,M1} { one_to_one( skol6 ) }.
% 169.14/169.52 (82007) {G0,W2,D2,L1,V0,M1} { empty( skol6 ) }.
% 169.14/169.52 (82008) {G0,W2,D2,L1,V0,M1} { empty( skol7 ) }.
% 169.14/169.52 (82009) {G0,W2,D2,L1,V0,M1} { relation( skol7 ) }.
% 169.14/169.52 (82010) {G0,W5,D3,L2,V2,M2} { empty( X ), ! empty( skol8( Y ) ) }.
% 169.14/169.52 (82011) {G0,W7,D3,L2,V1,M2} { empty( X ), element( skol8( X ), powerset( X
% 169.14/169.52 ) ) }.
% 169.14/169.52 (82012) {G0,W2,D2,L1,V0,M1} { empty( skol9 ) }.
% 169.14/169.52 (82013) {G0,W2,D2,L1,V0,M1} { relation( skol10 ) }.
% 169.14/169.52 (82014) {G0,W2,D2,L1,V0,M1} { empty( skol10 ) }.
% 169.14/169.52 (82015) {G0,W2,D2,L1,V0,M1} { function( skol10 ) }.
% 169.14/169.52 (82016) {G0,W4,D3,L1,V2,M1} { relation( skol11( Z, T ) ) }.
% 169.14/169.52 (82017) {G0,W4,D3,L1,V2,M1} { function( skol11( Z, T ) ) }.
% 169.14/169.52 (82018) {G0,W6,D3,L1,V2,M1} { relation_of2( skol11( X, Y ), X, Y ) }.
% 169.14/169.52 (82019) {G0,W2,D2,L1,V0,M1} { ! empty( skol12 ) }.
% 169.14/169.52 (82020) {G0,W2,D2,L1,V0,M1} { relation( skol12 ) }.
% 169.14/169.52 (82021) {G0,W3,D3,L1,V1,M1} { empty( skol13( Y ) ) }.
% 169.14/169.52 (82022) {G0,W5,D3,L1,V1,M1} { element( skol13( X ), powerset( X ) ) }.
% 169.14/169.52 (82023) {G0,W2,D2,L1,V0,M1} { ! empty( skol14 ) }.
% 169.14/169.52 (82024) {G0,W2,D2,L1,V0,M1} { relation( skol15 ) }.
% 169.14/169.52 (82025) {G0,W2,D2,L1,V0,M1} { function( skol15 ) }.
% 169.14/169.52 (82026) {G0,W2,D2,L1,V0,M1} { one_to_one( skol15 ) }.
% 169.14/169.52 (82027) {G0,W2,D2,L1,V0,M1} { relation( skol16 ) }.
% 169.14/169.52 (82028) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol16 ) }.
% 169.14/169.52 (82029) {G0,W2,D2,L1,V0,M1} { relation( skol17 ) }.
% 169.14/169.52 (82030) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol17 ) }.
% 169.14/169.52 (82031) {G0,W2,D2,L1,V0,M1} { function( skol17 ) }.
% 169.14/169.52 (82032) {G0,W11,D3,L2,V3,M2} { ! relation_of2( Z, X, Y ),
% 169.14/169.52 relation_dom_as_subset( X, Y, Z ) = relation_dom( Z ) }.
% 169.14/169.52 (82033) {G0,W8,D2,L2,V3,M2} { ! relation_of2_as_subset( Z, X, Y ),
% 169.14/169.52 relation_of2( Z, X, Y ) }.
% 169.14/169.52 (82034) {G0,W8,D2,L2,V3,M2} { ! relation_of2( Z, X, Y ),
% 169.14/169.52 relation_of2_as_subset( Z, X, Y ) }.
% 169.14/169.52 (82035) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 169.14/169.52 (82036) {G0,W11,D2,L3,V4,M3} { ! relation_of2_as_subset( Z, Y, X ), !
% 169.14/169.52 subset( X, T ), relation_of2_as_subset( Z, Y, T ) }.
% 169.14/169.52 (82037) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 169.14/169.52 (82038) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 169.14/169.52 }.
% 169.14/169.52 (82039) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y
% 169.14/169.52 ) }.
% 169.14/169.52 (82040) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y )
% 169.14/169.52 ) }.
% 169.14/169.52 (82041) {G0,W6,D2,L2,V1,M2} { ! subset( X, empty_set ), X = empty_set }.
% 169.14/169.52 (82042) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y ) )
% 169.14/169.52 , element( X, Y ) }.
% 169.14/169.52 (82043) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) )
% 169.14/169.52 , ! empty( Z ) }.
% 169.14/169.52 (82044) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 169.14/169.52 (82045) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 169.14/169.52 (82046) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 169.14/169.52 (82047) {G0,W2,D2,L1,V0,M1} { function( skol20 ) }.
% 169.14/169.52 (82048) {G0,W4,D2,L1,V0,M1} { quasi_total( skol20, skol18, skol19 ) }.
% 169.14/169.52 (82049) {G0,W4,D2,L1,V0,M1} { relation_of2_as_subset( skol20, skol18,
% 169.14/169.52 skol19 ) }.
% 169.14/169.52 (82050) {G0,W3,D2,L1,V0,M1} { subset( skol19, skol21 ) }.
% 169.14/169.52 (82051) {G0,W6,D2,L2,V0,M2} { ! skol19 = empty_set, skol18 = empty_set }.
% 169.14/169.52 (82052) {G0,W10,D2,L3,V0,M3} { ! function( skol20 ), ! quasi_total( skol20
% 169.14/169.52 , skol18, skol21 ), ! relation_of2_as_subset( skol20, skol18, skol21 )
% 169.14/169.52 }.
% 169.14/169.52
% 169.14/169.52
% 169.14/169.52 Total Proof:
% 169.14/169.52
% 169.14/169.52 subsumption: (3) {G0,W8,D4,L2,V3,M2} I { ! element( X, powerset(
% 169.14/169.52 cartesian_product2( Y, Z ) ) ), relation( X ) }.
% 169.14/169.52 parent0: (81965) {G0,W8,D4,L2,V3,M2} { ! element( X, powerset(
% 169.14/169.52 cartesian_product2( Y, Z ) ) ), relation( X ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 Z := Z
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 eqswap: (82055) {G0,W17,D3,L4,V3,M4} { relation_dom_as_subset( X, Y, Z ) =
% 169.14/169.52 X, ! relation_of2_as_subset( Z, X, Y ), alpha1( X, Y ), ! quasi_total( Z
% 169.14/169.52 , X, Y ) }.
% 169.14/169.52 parent0[3]: (81969) {G0,W17,D3,L4,V3,M4} { ! relation_of2_as_subset( Z, X
% 169.14/169.52 , Y ), alpha1( X, Y ), ! quasi_total( Z, X, Y ), X =
% 169.14/169.52 relation_dom_as_subset( X, Y, Z ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 Z := Z
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (5) {G0,W17,D3,L4,V3,M4} I { ! relation_of2_as_subset( Z, X, Y
% 169.14/169.52 ), alpha1( X, Y ), ! quasi_total( Z, X, Y ), relation_dom_as_subset( X,
% 169.14/169.52 Y, Z ) ==> X }.
% 169.14/169.52 parent0: (82055) {G0,W17,D3,L4,V3,M4} { relation_dom_as_subset( X, Y, Z )
% 169.14/169.52 = X, ! relation_of2_as_subset( Z, X, Y ), alpha1( X, Y ), ! quasi_total(
% 169.14/169.52 Z, X, Y ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 Z := Z
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 3
% 169.14/169.52 1 ==> 0
% 169.14/169.52 2 ==> 1
% 169.14/169.52 3 ==> 2
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 eqswap: (82058) {G0,W17,D3,L4,V3,M4} { ! relation_dom_as_subset( X, Y, Z )
% 169.14/169.52 = X, ! relation_of2_as_subset( Z, X, Y ), alpha1( X, Y ), quasi_total( Z
% 169.14/169.52 , X, Y ) }.
% 169.14/169.52 parent0[2]: (81970) {G0,W17,D3,L4,V3,M4} { ! relation_of2_as_subset( Z, X
% 169.14/169.52 , Y ), alpha1( X, Y ), ! X = relation_dom_as_subset( X, Y, Z ),
% 169.14/169.52 quasi_total( Z, X, Y ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 Z := Z
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (6) {G0,W17,D3,L4,V3,M4} I { ! relation_of2_as_subset( Z, X, Y
% 169.14/169.52 ), alpha1( X, Y ), ! relation_dom_as_subset( X, Y, Z ) ==> X,
% 169.14/169.52 quasi_total( Z, X, Y ) }.
% 169.14/169.52 parent0: (82058) {G0,W17,D3,L4,V3,M4} { ! relation_dom_as_subset( X, Y, Z
% 169.14/169.52 ) = X, ! relation_of2_as_subset( Z, X, Y ), alpha1( X, Y ), quasi_total
% 169.14/169.52 ( Z, X, Y ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 Z := Z
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 2
% 169.14/169.52 1 ==> 0
% 169.14/169.52 2 ==> 1
% 169.14/169.52 3 ==> 3
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (7) {G0,W17,D2,L5,V3,M5} I { ! relation_of2_as_subset( Z, X, Y
% 169.14/169.52 ), ! Y = empty_set, X = empty_set, ! quasi_total( Z, X, Y ), Z =
% 169.14/169.52 empty_set }.
% 169.14/169.52 parent0: (81971) {G0,W17,D2,L5,V3,M5} { ! relation_of2_as_subset( Z, X, Y
% 169.14/169.52 ), ! Y = empty_set, X = empty_set, ! quasi_total( Z, X, Y ), Z =
% 169.14/169.52 empty_set }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 Z := Z
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 2 ==> 2
% 169.14/169.52 3 ==> 3
% 169.14/169.52 4 ==> 4
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (8) {G0,W17,D2,L5,V3,M5} I { ! relation_of2_as_subset( Z, X, Y
% 169.14/169.52 ), ! Y = empty_set, X = empty_set, ! Z = empty_set, quasi_total( Z, X, Y
% 169.14/169.52 ) }.
% 169.14/169.52 parent0: (81972) {G0,W17,D2,L5,V3,M5} { ! relation_of2_as_subset( Z, X, Y
% 169.14/169.52 ), ! Y = empty_set, X = empty_set, ! Z = empty_set, quasi_total( Z, X, Y
% 169.14/169.52 ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 Z := Z
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 2 ==> 2
% 169.14/169.52 3 ==> 3
% 169.14/169.52 4 ==> 4
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (9) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), Y = empty_set
% 169.14/169.52 }.
% 169.14/169.52 parent0: (81973) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), Y = empty_set }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (10) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! X = empty_set
% 169.14/169.52 }.
% 169.14/169.52 parent0: (81974) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! X = empty_set
% 169.14/169.52 }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (11) {G0,W9,D2,L3,V2,M3} I { ! Y = empty_set, X = empty_set,
% 169.14/169.52 alpha1( X, Y ) }.
% 169.14/169.52 parent0: (81975) {G0,W9,D2,L3,V2,M3} { ! Y = empty_set, X = empty_set,
% 169.14/169.52 alpha1( X, Y ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 2 ==> 2
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (13) {G0,W11,D3,L2,V3,M2} I { ! relation_of2( Z, X, Y ),
% 169.14/169.52 element( relation_dom_as_subset( X, Y, Z ), powerset( X ) ) }.
% 169.14/169.52 parent0: (81980) {G0,W11,D3,L2,V3,M2} { ! relation_of2( Z, X, Y ), element
% 169.14/169.52 ( relation_dom_as_subset( X, Y, Z ), powerset( X ) ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 Z := Z
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (14) {G0,W10,D4,L2,V3,M2} I { ! relation_of2_as_subset( Z, X,
% 169.14/169.52 Y ), element( Z, powerset( cartesian_product2( X, Y ) ) ) }.
% 169.14/169.52 parent0: (81983) {G0,W10,D4,L2,V3,M2} { ! relation_of2_as_subset( Z, X, Y
% 169.14/169.52 ), element( Z, powerset( cartesian_product2( X, Y ) ) ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 Z := Z
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (16) {G0,W4,D3,L1,V1,M1} I { element( skol2( X ), X ) }.
% 169.14/169.52 parent0: (81985) {G0,W4,D3,L1,V1,M1} { element( skol2( X ), X ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (18) {G0,W2,D2,L1,V0,M1} I { empty( empty_set ) }.
% 169.14/169.52 parent0: (81987) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (22) {G0,W8,D3,L3,V2,M3} I { empty( X ), empty( Y ), ! empty(
% 169.14/169.52 cartesian_product2( X, Y ) ) }.
% 169.14/169.52 parent0: (81994) {G0,W8,D3,L3,V2,M3} { empty( X ), empty( Y ), ! empty(
% 169.14/169.52 cartesian_product2( X, Y ) ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 2 ==> 2
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (23) {G0,W7,D3,L3,V1,M3} I { empty( X ), ! relation( X ), !
% 169.14/169.52 empty( relation_dom( X ) ) }.
% 169.14/169.52 parent0: (81995) {G0,W7,D3,L3,V1,M3} { empty( X ), ! relation( X ), !
% 169.14/169.52 empty( relation_dom( X ) ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 2 ==> 2
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (24) {G0,W5,D3,L2,V1,M2} I { ! empty( X ), empty( relation_dom
% 169.14/169.52 ( X ) ) }.
% 169.14/169.52 parent0: (81996) {G0,W5,D3,L2,V1,M2} { ! empty( X ), empty( relation_dom(
% 169.14/169.52 X ) ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (30) {G0,W6,D3,L1,V2,M1} I { relation_of2( skol5( X, Y ), X, Y
% 169.14/169.52 ) }.
% 169.14/169.52 parent0: (82002) {G0,W6,D3,L1,V2,M1} { relation_of2( skol5( X, Y ), X, Y )
% 169.14/169.52 }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (31) {G0,W6,D3,L1,V2,M1} I { quasi_total( skol5( X, Y ), X, Y
% 169.14/169.52 ) }.
% 169.14/169.52 parent0: (82003) {G0,W6,D3,L1,V2,M1} { quasi_total( skol5( X, Y ), X, Y )
% 169.14/169.52 }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (47) {G0,W2,D2,L1,V0,M1} I { ! empty( skol12 ) }.
% 169.14/169.52 parent0: (82019) {G0,W2,D2,L1,V0,M1} { ! empty( skol12 ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (49) {G0,W3,D3,L1,V1,M1} I { empty( skol13( Y ) ) }.
% 169.14/169.52 parent0: (82021) {G0,W3,D3,L1,V1,M1} { empty( skol13( Y ) ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := Z
% 169.14/169.52 Y := Y
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (50) {G0,W5,D3,L1,V1,M1} I { element( skol13( X ), powerset( X
% 169.14/169.52 ) ) }.
% 169.14/169.52 parent0: (82022) {G0,W5,D3,L1,V1,M1} { element( skol13( X ), powerset( X )
% 169.14/169.52 ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (51) {G0,W2,D2,L1,V0,M1} I { ! empty( skol14 ) }.
% 169.14/169.52 parent0: (82023) {G0,W2,D2,L1,V0,M1} { ! empty( skol14 ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (60) {G0,W11,D3,L2,V3,M2} I { ! relation_of2( Z, X, Y ),
% 169.14/169.52 relation_dom_as_subset( X, Y, Z ) ==> relation_dom( Z ) }.
% 169.14/169.52 parent0: (82032) {G0,W11,D3,L2,V3,M2} { ! relation_of2( Z, X, Y ),
% 169.14/169.52 relation_dom_as_subset( X, Y, Z ) = relation_dom( Z ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 Z := Z
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (61) {G0,W8,D2,L2,V3,M2} I { ! relation_of2_as_subset( Z, X, Y
% 169.14/169.52 ), relation_of2( Z, X, Y ) }.
% 169.14/169.52 parent0: (82033) {G0,W8,D2,L2,V3,M2} { ! relation_of2_as_subset( Z, X, Y )
% 169.14/169.52 , relation_of2( Z, X, Y ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 Z := Z
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (62) {G0,W8,D2,L2,V3,M2} I { ! relation_of2( Z, X, Y ),
% 169.14/169.52 relation_of2_as_subset( Z, X, Y ) }.
% 169.14/169.52 parent0: (82034) {G0,W8,D2,L2,V3,M2} { ! relation_of2( Z, X, Y ),
% 169.14/169.52 relation_of2_as_subset( Z, X, Y ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 Z := Z
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (63) {G0,W3,D2,L1,V1,M1} I { subset( X, X ) }.
% 169.14/169.52 parent0: (82035) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (64) {G0,W11,D2,L3,V4,M3} I { ! relation_of2_as_subset( Z, Y,
% 169.14/169.52 X ), ! subset( X, T ), relation_of2_as_subset( Z, Y, T ) }.
% 169.14/169.52 parent0: (82036) {G0,W11,D2,L3,V4,M3} { ! relation_of2_as_subset( Z, Y, X
% 169.14/169.52 ), ! subset( X, T ), relation_of2_as_subset( Z, Y, T ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 Z := Z
% 169.14/169.52 T := T
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 2 ==> 2
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (66) {G0,W8,D2,L3,V2,M3} I { ! element( X, Y ), empty( Y ), in
% 169.14/169.52 ( X, Y ) }.
% 169.14/169.52 parent0: (82038) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in(
% 169.14/169.52 X, Y ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 2 ==> 2
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (67) {G0,W7,D3,L2,V2,M2} I { ! element( X, powerset( Y ) ),
% 169.14/169.52 subset( X, Y ) }.
% 169.14/169.52 parent0: (82039) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ),
% 169.14/169.52 subset( X, Y ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (68) {G0,W7,D3,L2,V2,M2} I { ! subset( X, Y ), element( X,
% 169.14/169.52 powerset( Y ) ) }.
% 169.14/169.52 parent0: (82040) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X,
% 169.14/169.52 powerset( Y ) ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (69) {G0,W6,D2,L2,V1,M2} I { ! subset( X, empty_set ), X =
% 169.14/169.52 empty_set }.
% 169.14/169.52 parent0: (82041) {G0,W6,D2,L2,V1,M2} { ! subset( X, empty_set ), X =
% 169.14/169.52 empty_set }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (71) {G0,W9,D3,L3,V3,M3} I { ! in( X, Y ), ! element( Y,
% 169.14/169.52 powerset( Z ) ), ! empty( Z ) }.
% 169.14/169.52 parent0: (82043) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y,
% 169.14/169.52 powerset( Z ) ), ! empty( Z ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 Z := Z
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 2 ==> 2
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (72) {G0,W5,D2,L2,V1,M2} I { ! empty( X ), X = empty_set }.
% 169.14/169.52 parent0: (82044) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (74) {G0,W7,D2,L3,V2,M3} I { ! empty( X ), X = Y, ! empty( Y )
% 169.14/169.52 }.
% 169.14/169.52 parent0: (82046) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y )
% 169.14/169.52 }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 2 ==> 2
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (75) {G0,W2,D2,L1,V0,M1} I { function( skol20 ) }.
% 169.14/169.52 parent0: (82047) {G0,W2,D2,L1,V0,M1} { function( skol20 ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (76) {G0,W4,D2,L1,V0,M1} I { quasi_total( skol20, skol18,
% 169.14/169.52 skol19 ) }.
% 169.14/169.52 parent0: (82048) {G0,W4,D2,L1,V0,M1} { quasi_total( skol20, skol18, skol19
% 169.14/169.52 ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (77) {G0,W4,D2,L1,V0,M1} I { relation_of2_as_subset( skol20,
% 169.14/169.52 skol18, skol19 ) }.
% 169.14/169.52 parent0: (82049) {G0,W4,D2,L1,V0,M1} { relation_of2_as_subset( skol20,
% 169.14/169.52 skol18, skol19 ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (78) {G0,W3,D2,L1,V0,M1} I { subset( skol19, skol21 ) }.
% 169.14/169.52 parent0: (82050) {G0,W3,D2,L1,V0,M1} { subset( skol19, skol21 ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (79) {G0,W6,D2,L2,V0,M2} I { ! skol19 ==> empty_set, skol18
% 169.14/169.52 ==> empty_set }.
% 169.14/169.52 parent0: (82051) {G0,W6,D2,L2,V0,M2} { ! skol19 = empty_set, skol18 =
% 169.14/169.52 empty_set }.
% 169.14/169.52 substitution0:
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 resolution: (83223) {G1,W8,D2,L2,V0,M2} { ! quasi_total( skol20, skol18,
% 169.14/169.52 skol21 ), ! relation_of2_as_subset( skol20, skol18, skol21 ) }.
% 169.14/169.52 parent0[0]: (82052) {G0,W10,D2,L3,V0,M3} { ! function( skol20 ), !
% 169.14/169.52 quasi_total( skol20, skol18, skol21 ), ! relation_of2_as_subset( skol20,
% 169.14/169.52 skol18, skol21 ) }.
% 169.14/169.52 parent1[0]: (75) {G0,W2,D2,L1,V0,M1} I { function( skol20 ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 end
% 169.14/169.52 substitution1:
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (80) {G1,W8,D2,L2,V0,M2} I;r(75) { ! quasi_total( skol20,
% 169.14/169.52 skol18, skol21 ), ! relation_of2_as_subset( skol20, skol18, skol21 ) }.
% 169.14/169.52 parent0: (83223) {G1,W8,D2,L2,V0,M2} { ! quasi_total( skol20, skol18,
% 169.14/169.52 skol21 ), ! relation_of2_as_subset( skol20, skol18, skol21 ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 eqswap: (83224) {G0,W6,D2,L2,V2,M2} { ! empty_set = X, ! alpha1( X, Y )
% 169.14/169.52 }.
% 169.14/169.52 parent0[1]: (10) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! X = empty_set
% 169.14/169.52 }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 eqrefl: (83225) {G0,W3,D2,L1,V1,M1} { ! alpha1( empty_set, X ) }.
% 169.14/169.52 parent0[0]: (83224) {G0,W6,D2,L2,V2,M2} { ! empty_set = X, ! alpha1( X, Y
% 169.14/169.52 ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := empty_set
% 169.14/169.52 Y := X
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (95) {G1,W3,D2,L1,V1,M1} Q(10) { ! alpha1( empty_set, X ) }.
% 169.14/169.52 parent0: (83225) {G0,W3,D2,L1,V1,M1} { ! alpha1( empty_set, X ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 factor: (83226) {G0,W6,D3,L2,V1,M2} { empty( X ), ! empty(
% 169.14/169.52 cartesian_product2( X, X ) ) }.
% 169.14/169.52 parent0[0, 1]: (22) {G0,W8,D3,L3,V2,M3} I { empty( X ), empty( Y ), ! empty
% 169.14/169.52 ( cartesian_product2( X, Y ) ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := X
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 subsumption: (97) {G1,W6,D3,L2,V1,M2} F(22) { empty( X ), ! empty(
% 169.14/169.52 cartesian_product2( X, X ) ) }.
% 169.14/169.52 parent0: (83226) {G0,W6,D3,L2,V1,M2} { empty( X ), ! empty(
% 169.14/169.52 cartesian_product2( X, X ) ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 end
% 169.14/169.52 permutation0:
% 169.14/169.52 0 ==> 0
% 169.14/169.52 1 ==> 1
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 eqswap: (83227) {G0,W17,D3,L4,V3,M4} { X ==> relation_dom_as_subset( X, Y
% 169.14/169.52 , Z ), ! relation_of2_as_subset( Z, X, Y ), alpha1( X, Y ), ! quasi_total
% 169.14/169.52 ( Z, X, Y ) }.
% 169.14/169.52 parent0[3]: (5) {G0,W17,D3,L4,V3,M4} I { ! relation_of2_as_subset( Z, X, Y
% 169.14/169.52 ), alpha1( X, Y ), ! quasi_total( Z, X, Y ), relation_dom_as_subset( X,
% 169.14/169.52 Y, Z ) ==> X }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := X
% 169.14/169.52 Y := Y
% 169.14/169.52 Z := Z
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 resolution: (83228) {G1,W13,D3,L3,V0,M3} { skol18 ==>
% 169.14/169.52 relation_dom_as_subset( skol18, skol19, skol20 ), alpha1( skol18, skol19
% 169.14/169.52 ), ! quasi_total( skol20, skol18, skol19 ) }.
% 169.14/169.52 parent0[1]: (83227) {G0,W17,D3,L4,V3,M4} { X ==> relation_dom_as_subset( X
% 169.14/169.52 , Y, Z ), ! relation_of2_as_subset( Z, X, Y ), alpha1( X, Y ), !
% 169.14/169.52 quasi_total( Z, X, Y ) }.
% 169.14/169.52 parent1[0]: (77) {G0,W4,D2,L1,V0,M1} I { relation_of2_as_subset( skol20,
% 169.14/169.52 skol18, skol19 ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 X := skol18
% 169.14/169.52 Y := skol19
% 169.14/169.52 Z := skol20
% 169.14/169.52 end
% 169.14/169.52 substitution1:
% 169.14/169.52 end
% 169.14/169.52
% 169.14/169.52 resolution: (83229) {G1,W9,D3,L2,V0,M2} { skol18 ==>
% 169.14/169.52 relation_dom_as_subset( skol18, skol19, skol20 ), alpha1( skol18, skol19
% 169.14/169.52 ) }.
% 169.14/169.52 parent0[2]: (83228) {G1,W13,D3,L3,V0,M3} { skol18 ==>
% 169.14/169.52 relation_dom_as_subset( skol18, skol19, skol20 ), alpha1( skol18, skol19
% 169.14/169.52 ), ! quasi_total( skol20, skol18, skol19 ) }.
% 169.14/169.52 parent1[0]: (76) {G0,W4,D2,L1,V0,M1} I { quasi_total( skol20, skol18,
% 169.14/169.52 skol19 ) }.
% 169.14/169.52 substitution0:
% 169.14/169.52 end
% 169.14/169.52 substitution1:
% 169.14/169.53 end
% 169.14/169.53
% 169.14/169.53 eqswap: (83230) {G1,W9,D3,L2,V0,M2} { relation_dom_as_subset( skol18,
% 169.14/169.53 skol19, skol20 ) ==> skol18, alpha1( skol18, skol19 ) }.
% 169.14/169.53 parent0[0]: (83229) {G1,W9,D3,L2,V0,M2} { skol18 ==>
% 169.14/169.53 relation_dom_as_subset( skol18, skol19, skol20 ), alpha1( skol18, skol19
% 169.14/169.53 ) }.
% 169.14/169.53 substitution0:
% 169.14/169.53 end
% 169.14/169.53
% 169.14/169.53 subsumption: (221) {G1,W9,D3,L2,V0,M2} R(77,5);r(76) { alpha1( skol18,
% 169.14/169.53 skol19 ), relation_dom_as_subset( skol18, skol19, skol20 ) ==> skol18 }.
% 169.14/169.53 parent0: (83230) {G1,W9,D3,L2,V0,M2} { relation_dom_as_subset( skol18,
% 169.14/169.53 skol19, skol20 ) ==> skol18, alpha1( skol18, skol19 ) }.
% 169.14/169.53 substitution0:
% 169.14/169.53 end
% 169.14/169.53 permutation0:
% 169.14/169.53 0 ==> 1
% 169.14/169.53 1 ==> 0
% 169.14/169.53 end
% 169.14/169.53
% 169.14/169.53 paramod: (83234) {G1,W7,D2,L2,V1,M2} { relation_of2_as_subset( skol20,
% 169.14/169.53 skol18, empty_set ), ! alpha1( X, skol19 ) }.
% 169.14/169.53 parent0[1]: (9) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), Y = empty_set }.
% 169.14/169.53 parent1[0; 3]: (77) {G0,W4,D2,L1,V0,M1} I { relation_of2_as_subset( skol20
% 169.14/169.53 , skol18, skol19 ) }.
% 169.14/169.53 substitution0:
% 169.14/169.53 X := X
% 169.14/169.53 Y := skol19
% 169.14/169.53 end
% 169.14/169.53 substitution1:
% 169.14/169.53 end
% 169.14/169.53
% 169.14/169.53 subsumption: (257) {G1,W7,D2,L2,V1,M2} P(9,77) { relation_of2_as_subset(
% 169.14/169.53 skol20, skol18, empty_set ), ! alpha1( X, skol19 ) }.
% 169.14/169.53 parent0: (83234) {G1,W7,D2,L2,V1,M2} { relation_of2_as_subset( skol20,
% 169.14/169.53 skol18, empty_set ), ! alpha1( X, skol19 ) }.
% 169.14/169.53 substitution0:
% 169.14/169.53 X := X
% 169.14/169.53 end
% 169.14/169.53 permutation0:
% 169.14/169.53 0 ==> 0
% 169.14/169.53 1 ==> 1
% 169.14/169.53 end
% 169.14/169.53
% 169.14/169.53 paramod: (83267) {G1,W6,D2,L2,V1,M2} { subset( skol19, empty_set ), !
% 169.14/169.53 alpha1( X, skol21 ) }.
% 169.14/169.53 parent0[1]: (9) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), Y = empty_set }.
% 169.14/169.53 parent1[0; 2]: (78) {G0,W3,D2,L1,V0,M1} I { subset( skol19, skol21 ) }.
% 169.14/169.53 substitution0:
% 169.14/169.53 X := X
% 169.14/169.53 Y := skol21
% 169.14/169.53 end
% 169.14/169.53 substitution1:
% 169.14/169.53 end
% 169.14/169.53
% 169.14/169.53 subsumption: (262) {G1,W6,D2,L2,V1,M2} P(9,78) { subset( skol19, empty_set
% 169.14/169.53 ), ! alpha1( X, skol21 ) }.
% 169.14/169.53 parent0: (83267) {G1,W6,D2,L2,V1,M2} { subset( skol19, empty_set ), !
% 169.14/169.53 alpha1( X, skol21 ) }.
% 169.14/169.53 substitution0:
% 169.14/169.53 X := X
% 169.14/169.53 end
% 169.14/169.53 permutation0:
% 169.14/169.53 0 ==> 0
% 169.14/169.53 1 ==> 1
% 169.14/169.53 end
% 169.14/169.53
% 169.14/169.53 eqswap: (83288) {G0,W6,D2,L2,V2,M2} { empty_set = X, ! alpha1( Y, X ) }.
% 169.14/169.53 parent0[1]: (9) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), Y = empty_set }.
% 169.14/169.53 substitution0:
% 169.14/169.53 X := Y
% 169.14/169.53 Y := X
% 169.14/169.53 end
% 169.14/169.53
% 169.14/169.53 paramod: (83289) {G1,W5,D2,L2,V2,M2} { empty( X ), ! alpha1( Y, X ) }.
% 169.14/169.53 parent0[0]: (83288) {G0,W6,D2,L2,V2,M2} { empty_set = X, ! alpha1( Y, X )
% 169.14/169.53 }.
% 169.14/169.53 parent1[0; 1]: (18) {G0,W2,D2,L1,V0,M1} I { empty( empty_set ) }.
% 169.14/169.53 substitution0:
% 169.14/169.53 X := X
% 169.14/169.53 Y := Y
% 169.14/169.53 end
% 169.14/169.53 substitution1:
% 169.14/169.53 end
% 169.14/169.53
% 169.14/169.53 subsumption: (267) {G1,W5,D2,L2,V2,M2} P(9,18) { empty( X ), ! alpha1( Y, X
% 169.14/169.53 ) }.
% 169.14/169.53 parent0: (83289) {G1,W5,D2,L2,V2,M2} { empty( X ), ! alpha1( Y, X ) }.
% 169.14/169.53 substitution0:
% 169.14/169.53 X := X
% 169.14/169.53 Y := Y
% 169.14/169.53 end
% 169.14/169.53 permutation0:
% 169.14/169.53 0 ==> 0
% 169.14/169.53 1 ==> 1
% 169.14/169.53 end
% 169.14/169.53
% 169.14/169.53 eqswap: (83290) {G0,W6,D2,L2,V2,M2} { empty_set = X, ! alpha1( Y, X ) }.
% 169.14/169.53 parent0[1]: (9) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), Y = empty_set }.
% 169.14/169.53 substitution0:
% 169.14/169.53 X := Y
% 169.14/169.53 Y := X
% 169.14/169.53 end
% 169.14/169.53
% 169.14/169.53 eqswap: (83291) {G0,W6,D2,L2,V2,M2} { ! empty_set = X, ! alpha1( X, Y )
% 169.14/169.53 }.
% 169.14/169.53 parent0[1]: (10) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! X = empty_set
% 169.14/169.53 }.
% 169.14/169.53 substitution0:
% 169.14/169.53 X := X
% 169.14/169.53 Y := Y
% 169.14/169.53 end
% 169.14/169.53
% 169.14/169.53 paramod: (83292) {G1,W9,D2,L3,V4,M3} { ! Y = X, ! alpha1( Z, Y ), ! alpha1
% 169.14/169.53 ( X, T ) }.
% 169.14/169.53 parent0[0]: (83290) {G0,W6,D2,L2,V2,M2} { empty_set = X, ! alpha1( Y, X )
% 169.14/169.53 }.
% 169.14/169.53 parent1[0; 2]: (83291) {G0,W6,D2,L2,V2,M2} { ! empty_set = X, ! alpha1( X
% 169.14/169.53 , Y ) }.
% 169.14/169.53 substitution0:
% 169.14/169.53 X := Y
% 169.14/169.53 Y := Z
% 169.14/169.53 end
% 169.14/169.53 substitution1:
% 169.14/169.53 X := X
% 169.14/169.53 Y := T
% 169.14/169.53 end
% 169.14/169.53
% 169.14/169.53 eqswap: (83293) {G1,W9,D2,L3,V4,M3} { ! Y = X, ! alpha1( Z, X ), ! alpha1
% 169.14/169.53 ( Y, T ) }.
% 169.14/169.53 parent0[0]: (83292) {G1,W9,D2,L3,V4,M3} { ! Y = X, ! alpha1( Z, Y ), !
% 169.14/169.53 alpha1( X, T ) }.
% 169.14/169.53 substitution0:
% 169.14/169.53 X := Y
% 169.14/169.53 Y := X
% 169.14/169.53 Z := Z
% 169.14/169.53 T := T
% 169.14/169.53 end
% 169.14/169.53
% 169.14/169.53 subsumption: (325) {G1,W9,D2,L3,V4,M3} P(9,10) { ! alpha1( Y, Z ), ! Y = X
% 169.14/169.53 , ! alpha1( T, X ) }.
% 169.14/169.53 parent0: (83293) {G1,W9,D2,L3,V4,M3} { ! Y = X, ! alpha1( Z, X ), ! alpha1
% 169.14/169.53 ( Y, T ) }.
% 169.14/169.53 substitution0:
% 169.14/169.53 X := X
% 169.14/169.53 Y := Y
% 169.14/169.53 Z := T
% 169.14/169.53 T := Z
% 169.14/169.53 end
% 169.14/169.53 permutation0:
% 169.14/169.53 0 ==> 1
% 169.14/169.53 1 ==> 2
% 169.14/169.53 2 ==> 0
% 169.14/169.53 end
% 169.14/169.53
% 169.14/169.53 factor: (83297) {G1,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! X = Y }.
% 169.14/169.53 parent0[0, 2]: (325) {G1,W9,D2,L3,V4,M3} P(9,10) { ! alpha1( Y, Z ), ! Y =
% 169.14/169.53 X, ! alpha1( T, X ) }.
% 169.14/169.53 substitution0:
% 169.14/169.53 X := Y
% 169.14/169.53 Y := X
% 169.14/169.53 Z := Y
% 169.14/169.53 T := Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------