%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU356+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 07:12:42 EDT 2022
% Result : Theorem 12.78s 13.15s
% Output : Refutation 12.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU356+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sun Jun 19 00:53:04 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.06/2.45 *** allocated 10000 integers for termspace/termends
% 2.06/2.45 *** allocated 10000 integers for clauses
% 2.06/2.45 *** allocated 10000 integers for justifications
% 2.06/2.45 Bliksem 1.12
% 2.06/2.45
% 2.06/2.45
% 2.06/2.45 Automatic Strategy Selection
% 2.06/2.45
% 2.06/2.45
% 2.06/2.45 Clauses:
% 2.06/2.45
% 2.06/2.45 { ! rel_str( X ), ! ex_sup_of_relstr_set( X, Y ), element( skol1( X, Z ),
% 2.06/2.45 the_carrier( X ) ) }.
% 2.06/2.45 { ! rel_str( X ), ! ex_sup_of_relstr_set( X, Y ), alpha1( X, Y, skol1( X, Y
% 2.06/2.45 ) ) }.
% 2.06/2.45 { ! rel_str( X ), ! element( Z, the_carrier( X ) ), ! alpha1( X, Y, Z ),
% 2.06/2.45 ex_sup_of_relstr_set( X, Y ) }.
% 2.06/2.45 { ! alpha1( X, Y, Z ), relstr_set_smaller( X, Y, Z ) }.
% 2.06/2.45 { ! alpha1( X, Y, Z ), alpha3( X, Y, Z ) }.
% 2.06/2.45 { ! relstr_set_smaller( X, Y, Z ), ! alpha3( X, Y, Z ), alpha1( X, Y, Z ) }
% 2.06/2.45 .
% 2.06/2.45 { ! alpha3( X, Y, Z ), alpha5( X, Y, Z ) }.
% 2.06/2.45 { ! alpha3( X, Y, Z ), alpha7( X, Y, Z ) }.
% 2.06/2.45 { ! alpha5( X, Y, Z ), ! alpha7( X, Y, Z ), alpha3( X, Y, Z ) }.
% 2.06/2.45 { ! alpha7( X, Y, Z ), ! element( T, the_carrier( X ) ), alpha10( X, Y, Z,
% 2.06/2.45 T ) }.
% 2.06/2.45 { element( skol2( X, T, U ), the_carrier( X ) ), alpha7( X, Y, Z ) }.
% 2.06/2.45 { ! alpha10( X, Y, Z, skol2( X, Y, Z ) ), alpha7( X, Y, Z ) }.
% 2.06/2.45 { ! alpha10( X, Y, Z, T ), ! alpha9( X, Y, T ), T = Z }.
% 2.06/2.45 { alpha9( X, Y, T ), alpha10( X, Y, Z, T ) }.
% 2.06/2.45 { ! T = Z, alpha10( X, Y, Z, T ) }.
% 2.06/2.45 { ! alpha9( X, Y, Z ), relstr_set_smaller( X, Y, Z ) }.
% 2.06/2.45 { ! alpha9( X, Y, Z ), alpha11( X, Y, Z ) }.
% 2.06/2.45 { ! relstr_set_smaller( X, Y, Z ), ! alpha11( X, Y, Z ), alpha9( X, Y, Z )
% 2.06/2.45 }.
% 2.06/2.45 { ! alpha11( X, Y, Z ), ! element( T, the_carrier( X ) ), alpha12( X, Y, Z
% 2.06/2.45 , T ) }.
% 2.06/2.45 { element( skol3( X, T, U ), the_carrier( X ) ), alpha11( X, Y, Z ) }.
% 2.06/2.45 { ! alpha12( X, Y, Z, skol3( X, Y, Z ) ), alpha11( X, Y, Z ) }.
% 2.06/2.45 { ! alpha12( X, Y, Z, T ), ! relstr_set_smaller( X, Y, T ), related( X, Z,
% 2.06/2.45 T ) }.
% 2.06/2.45 { relstr_set_smaller( X, Y, T ), alpha12( X, Y, Z, T ) }.
% 2.06/2.45 { ! related( X, Z, T ), alpha12( X, Y, Z, T ) }.
% 2.06/2.45 { ! alpha5( X, Y, Z ), ! element( T, the_carrier( X ) ), alpha8( X, Y, Z, T
% 2.06/2.45 ) }.
% 2.06/2.45 { element( skol4( X, T, U ), the_carrier( X ) ), alpha5( X, Y, Z ) }.
% 2.06/2.45 { ! alpha8( X, Y, Z, skol4( X, Y, Z ) ), alpha5( X, Y, Z ) }.
% 2.06/2.45 { ! alpha8( X, Y, Z, T ), ! relstr_set_smaller( X, Y, T ), related( X, Z, T
% 2.06/2.45 ) }.
% 2.06/2.45 { relstr_set_smaller( X, Y, T ), alpha8( X, Y, Z, T ) }.
% 2.06/2.45 { ! related( X, Z, T ), alpha8( X, Y, Z, T ) }.
% 2.06/2.45 { ! rel_str( X ), one_sorted_str( X ) }.
% 2.06/2.45 { && }.
% 2.06/2.45 { && }.
% 2.06/2.45 { && }.
% 2.06/2.45 { rel_str( skol5 ) }.
% 2.06/2.45 { one_sorted_str( skol6 ) }.
% 2.06/2.45 { element( skol7( X ), X ) }.
% 2.06/2.45 { antisymmetric_relstr( skol8 ) }.
% 2.06/2.45 { rel_str( skol8 ) }.
% 2.06/2.45 { alpha13( skol8, skol11 ), element( skol12, the_carrier( skol8 ) ) }.
% 2.06/2.45 { alpha13( skol8, skol11 ), alpha2( skol8, skol11, skol12 ) }.
% 2.06/2.45 { alpha13( skol8, skol11 ), ! ex_sup_of_relstr_set( skol8, skol11 ) }.
% 2.06/2.45 { ! alpha13( X, Y ), ex_sup_of_relstr_set( X, Y ) }.
% 2.06/2.45 { ! alpha13( X, Y ), ! element( Z, the_carrier( X ) ), ! alpha2( X, Y, Z )
% 2.06/2.45 }.
% 2.06/2.45 { ! ex_sup_of_relstr_set( X, Y ), element( skol9( X, Z ), the_carrier( X )
% 2.06/2.45 ), alpha13( X, Y ) }.
% 2.06/2.45 { ! ex_sup_of_relstr_set( X, Y ), alpha2( X, Y, skol9( X, Y ) ), alpha13( X
% 2.06/2.45 , Y ) }.
% 2.06/2.45 { ! alpha2( X, Y, Z ), relstr_set_smaller( X, Y, Z ) }.
% 2.06/2.45 { ! alpha2( X, Y, Z ), alpha4( X, Y, Z ) }.
% 2.06/2.45 { ! relstr_set_smaller( X, Y, Z ), ! alpha4( X, Y, Z ), alpha2( X, Y, Z ) }
% 2.06/2.45 .
% 2.06/2.45 { ! alpha4( X, Y, Z ), ! element( T, the_carrier( X ) ), alpha6( X, Y, Z, T
% 2.06/2.45 ) }.
% 2.06/2.45 { element( skol10( X, T, U ), the_carrier( X ) ), alpha4( X, Y, Z ) }.
% 2.06/2.45 { ! alpha6( X, Y, Z, skol10( X, Y, Z ) ), alpha4( X, Y, Z ) }.
% 2.06/2.45 { ! alpha6( X, Y, Z, T ), ! relstr_set_smaller( X, Y, T ), related( X, Z, T
% 2.06/2.45 ) }.
% 2.06/2.45 { relstr_set_smaller( X, Y, T ), alpha6( X, Y, Z, T ) }.
% 2.06/2.45 { ! related( X, Z, T ), alpha6( X, Y, Z, T ) }.
% 2.06/2.45 { ! antisymmetric_relstr( X ), ! rel_str( X ), ! element( Y, the_carrier( X
% 2.06/2.45 ) ), ! element( Z, the_carrier( X ) ), ! related( X, Y, Z ), ! related(
% 2.06/2.45 X, Z, Y ), Y = Z }.
% 2.06/2.45
% 2.06/2.45 percentage equality = 0.023810, percentage horn = 0.777778
% 2.06/2.45 This is a problem with some equality
% 2.06/2.45
% 2.06/2.45
% 2.06/2.45
% 2.06/2.45 Options Used:
% 2.06/2.45
% 2.06/2.45 useres = 1
% 2.06/2.45 useparamod = 1
% 2.06/2.45 useeqrefl = 1
% 2.06/2.45 useeqfact = 1
% 2.06/2.45 usefactor = 1
% 2.06/2.45 usesimpsplitting = 0
% 2.06/2.45 usesimpdemod = 5
% 2.06/2.45 usesimpres = 3
% 2.06/2.45
% 2.06/2.45 resimpinuse = 1000
% 2.06/2.45 resimpclauses = 20000
% 2.06/2.45 substype = eqrewr
% 2.06/2.45 backwardsubs = 1
% 2.06/2.45 selectoldest = 5
% 2.06/2.45
% 2.06/2.45 litorderings [0] = split
% 12.78/13.15 litorderings [1] = extend the termordering, first sorting on arguments
% 12.78/13.15
% 12.78/13.15 termordering = kbo
% 12.78/13.15
% 12.78/13.15 litapriori = 0
% 12.78/13.15 termapriori = 1
% 12.78/13.15 litaposteriori = 0
% 12.78/13.15 termaposteriori = 0
% 12.78/13.15 demodaposteriori = 0
% 12.78/13.15 ordereqreflfact = 0
% 12.78/13.15
% 12.78/13.15 litselect = negord
% 12.78/13.15
% 12.78/13.15 maxweight = 15
% 12.78/13.15 maxdepth = 30000
% 12.78/13.15 maxlength = 115
% 12.78/13.15 maxnrvars = 195
% 12.78/13.15 excuselevel = 1
% 12.78/13.15 increasemaxweight = 1
% 12.78/13.15
% 12.78/13.15 maxselected = 10000000
% 12.78/13.15 maxnrclauses = 10000000
% 12.78/13.15
% 12.78/13.15 showgenerated = 0
% 12.78/13.15 showkept = 0
% 12.78/13.15 showselected = 0
% 12.78/13.15 showdeleted = 0
% 12.78/13.15 showresimp = 1
% 12.78/13.15 showstatus = 2000
% 12.78/13.15
% 12.78/13.15 prologoutput = 0
% 12.78/13.15 nrgoals = 5000000
% 12.78/13.15 totalproof = 1
% 12.78/13.15
% 12.78/13.15 Symbols occurring in the translation:
% 12.78/13.15
% 12.78/13.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 12.78/13.15 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 12.78/13.15 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 12.78/13.15 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 12.78/13.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 12.78/13.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 12.78/13.15 rel_str [36, 1] (w:1, o:21, a:1, s:1, b:0),
% 12.78/13.15 ex_sup_of_relstr_set [38, 2] (w:1, o:50, a:1, s:1, b:0),
% 12.78/13.15 the_carrier [40, 1] (w:1, o:23, a:1, s:1, b:0),
% 12.78/13.15 element [41, 2] (w:1, o:51, a:1, s:1, b:0),
% 12.78/13.15 relstr_set_smaller [42, 3] (w:1, o:55, a:1, s:1, b:0),
% 12.78/13.15 related [44, 3] (w:1, o:56, a:1, s:1, b:0),
% 12.78/13.15 one_sorted_str [46, 1] (w:1, o:24, a:1, s:1, b:0),
% 12.78/13.15 antisymmetric_relstr [47, 1] (w:1, o:25, a:1, s:1, b:0),
% 12.78/13.15 alpha1 [48, 3] (w:1, o:57, a:1, s:1, b:1),
% 12.78/13.15 alpha2 [49, 3] (w:1, o:59, a:1, s:1, b:1),
% 12.78/13.15 alpha3 [50, 3] (w:1, o:60, a:1, s:1, b:1),
% 12.78/13.15 alpha4 [51, 3] (w:1, o:61, a:1, s:1, b:1),
% 12.78/13.15 alpha5 [52, 3] (w:1, o:62, a:1, s:1, b:1),
% 12.78/13.15 alpha6 [53, 4] (w:1, o:69, a:1, s:1, b:1),
% 12.78/13.15 alpha7 [54, 3] (w:1, o:63, a:1, s:1, b:1),
% 12.78/13.15 alpha8 [55, 4] (w:1, o:70, a:1, s:1, b:1),
% 12.78/13.15 alpha9 [56, 3] (w:1, o:64, a:1, s:1, b:1),
% 12.78/13.15 alpha10 [57, 4] (w:1, o:71, a:1, s:1, b:1),
% 12.78/13.15 alpha11 [58, 3] (w:1, o:58, a:1, s:1, b:1),
% 12.78/13.15 alpha12 [59, 4] (w:1, o:72, a:1, s:1, b:1),
% 12.78/13.15 alpha13 [60, 2] (w:1, o:52, a:1, s:1, b:1),
% 12.78/13.15 skol1 [61, 2] (w:1, o:53, a:1, s:1, b:1),
% 12.78/13.15 skol2 [62, 3] (w:1, o:66, a:1, s:1, b:1),
% 12.78/13.15 skol3 [63, 3] (w:1, o:67, a:1, s:1, b:1),
% 12.78/13.15 skol4 [64, 3] (w:1, o:68, a:1, s:1, b:1),
% 12.78/13.15 skol5 [65, 0] (w:1, o:11, a:1, s:1, b:1),
% 12.78/13.15 skol6 [66, 0] (w:1, o:12, a:1, s:1, b:1),
% 12.78/13.15 skol7 [67, 1] (w:1, o:22, a:1, s:1, b:1),
% 12.78/13.15 skol8 [68, 0] (w:1, o:13, a:1, s:1, b:1),
% 12.78/13.15 skol9 [69, 2] (w:1, o:54, a:1, s:1, b:1),
% 12.78/13.15 skol10 [70, 3] (w:1, o:65, a:1, s:1, b:1),
% 12.78/13.15 skol11 [71, 0] (w:1, o:14, a:1, s:1, b:1),
% 12.78/13.15 skol12 [72, 0] (w:1, o:15, a:1, s:1, b:1).
% 12.78/13.15
% 12.78/13.15
% 12.78/13.15 Starting Search:
% 12.78/13.15
% 12.78/13.15 *** allocated 15000 integers for clauses
% 12.78/13.15 *** allocated 22500 integers for clauses
% 12.78/13.15 *** allocated 33750 integers for clauses
% 12.78/13.15 *** allocated 15000 integers for termspace/termends
% 12.78/13.15 *** allocated 50625 integers for clauses
% 12.78/13.15 *** allocated 22500 integers for termspace/termends
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15 *** allocated 75937 integers for clauses
% 12.78/13.15 *** allocated 33750 integers for termspace/termends
% 12.78/13.15 *** allocated 113905 integers for clauses
% 12.78/13.15
% 12.78/13.15 Intermediate Status:
% 12.78/13.15 Generated: 15292
% 12.78/13.15 Kept: 2002
% 12.78/13.15 Inuse: 441
% 12.78/13.15 Deleted: 12
% 12.78/13.15 Deletedinuse: 1
% 12.78/13.15
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15 *** allocated 50625 integers for termspace/termends
% 12.78/13.15 *** allocated 170857 integers for clauses
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15 *** allocated 75937 integers for termspace/termends
% 12.78/13.15 *** allocated 256285 integers for clauses
% 12.78/13.15
% 12.78/13.15 Intermediate Status:
% 12.78/13.15 Generated: 82074
% 12.78/13.15 Kept: 4102
% 12.78/13.15 Inuse: 1073
% 12.78/13.15 Deleted: 40
% 12.78/13.15 Deletedinuse: 3
% 12.78/13.15
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15 *** allocated 113905 integers for termspace/termends
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15
% 12.78/13.15 Intermediate Status:
% 12.78/13.15 Generated: 127941
% 12.78/13.15 Kept: 6113
% 12.78/13.15 Inuse: 1313
% 12.78/13.15 Deleted: 266
% 12.78/13.15 Deletedinuse: 175
% 12.78/13.15
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15 *** allocated 384427 integers for clauses
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15 *** allocated 170857 integers for termspace/termends
% 12.78/13.15
% 12.78/13.15 Intermediate Status:
% 12.78/13.15 Generated: 177362
% 12.78/13.15 Kept: 8114
% 12.78/13.15 Inuse: 1622
% 12.78/13.15 Deleted: 486
% 12.78/13.15 Deletedinuse: 278
% 12.78/13.15
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15 *** allocated 576640 integers for clauses
% 12.78/13.15
% 12.78/13.15 Intermediate Status:
% 12.78/13.15 Generated: 327984
% 12.78/13.15 Kept: 10115
% 12.78/13.15 Inuse: 2085
% 12.78/13.15 Deleted: 1576
% 12.78/13.15 Deletedinuse: 1297
% 12.78/13.15
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15 *** allocated 256285 integers for termspace/termends
% 12.78/13.15
% 12.78/13.15 Intermediate Status:
% 12.78/13.15 Generated: 368033
% 12.78/13.15 Kept: 12127
% 12.78/13.15 Inuse: 2342
% 12.78/13.15 Deleted: 1602
% 12.78/13.15 Deletedinuse: 1299
% 12.78/13.15
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15
% 12.78/13.15 Intermediate Status:
% 12.78/13.15 Generated: 408154
% 12.78/13.15 Kept: 14137
% 12.78/13.15 Inuse: 2606
% 12.78/13.15 Deleted: 1825
% 12.78/13.15 Deletedinuse: 1473
% 12.78/13.15
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15 *** allocated 864960 integers for clauses
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15
% 12.78/13.15 Intermediate Status:
% 12.78/13.15 Generated: 452396
% 12.78/13.15 Kept: 16153
% 12.78/13.15 Inuse: 2853
% 12.78/13.15 Deleted: 1927
% 12.78/13.15 Deletedinuse: 1503
% 12.78/13.15
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15 *** allocated 384427 integers for termspace/termends
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15
% 12.78/13.15 Intermediate Status:
% 12.78/13.15 Generated: 563217
% 12.78/13.15 Kept: 18168
% 12.78/13.15 Inuse: 3339
% 12.78/13.15 Deleted: 2048
% 12.78/13.15 Deletedinuse: 1518
% 12.78/13.15
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15 Resimplifying clauses:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15
% 12.78/13.15 Intermediate Status:
% 12.78/13.15 Generated: 662036
% 12.78/13.15 Kept: 20967
% 12.78/13.15 Inuse: 3741
% 12.78/13.15 Deleted: 9052
% 12.78/13.15 Deletedinuse: 1518
% 12.78/13.15
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15 *** allocated 1297440 integers for clauses
% 12.78/13.15
% 12.78/13.15 Intermediate Status:
% 12.78/13.15 Generated: 700522
% 12.78/13.15 Kept: 22971
% 12.78/13.15 Inuse: 3881
% 12.78/13.15 Deleted: 9190
% 12.78/13.15 Deletedinuse: 1656
% 12.78/13.15
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15 *** allocated 576640 integers for termspace/termends
% 12.78/13.15
% 12.78/13.15 Intermediate Status:
% 12.78/13.15 Generated: 753783
% 12.78/13.15 Kept: 24973
% 12.78/13.15 Inuse: 4057
% 12.78/13.15 Deleted: 9286
% 12.78/13.15 Deletedinuse: 1750
% 12.78/13.15
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15
% 12.78/13.15 Intermediate Status:
% 12.78/13.15 Generated: 846957
% 12.78/13.15 Kept: 27203
% 12.78/13.15 Inuse: 4314
% 12.78/13.15 Deleted: 9368
% 12.78/13.15 Deletedinuse: 1754
% 12.78/13.15
% 12.78/13.15 Resimplifying inuse:
% 12.78/13.15 Done
% 12.78/13.15
% 12.78/13.15
% 12.78/13.15 Bliksems!, er is een bewijs:
% 12.78/13.15 % SZS status Theorem
% 12.78/13.15 % SZS output start Refutation
% 12.78/13.15
% 12.78/13.15 (0) {G0,W11,D3,L3,V3,M3} I { ! rel_str( X ), ! ex_sup_of_relstr_set( X, Y )
% 12.78/13.15 , element( skol1( X, Z ), the_carrier( X ) ) }.
% 12.78/13.15 (1) {G0,W11,D3,L3,V2,M3} I { ! rel_str( X ), ! ex_sup_of_relstr_set( X, Y )
% 12.78/13.15 , alpha1( X, Y, skol1( X, Y ) ) }.
% 12.78/13.15 (2) {G0,W13,D3,L4,V3,M4} I { ! rel_str( X ), ! element( Z, the_carrier( X )
% 12.78/13.15 ), ! alpha1( X, Y, Z ), ex_sup_of_relstr_set( X, Y ) }.
% 12.78/13.15 (3) {G0,W8,D2,L2,V3,M2} I { ! alpha1( X, Y, Z ), relstr_set_smaller( X, Y,
% 12.78/13.15 Z ) }.
% 12.78/13.15 (4) {G0,W8,D2,L2,V3,M2} I { ! alpha1( X, Y, Z ), alpha3( X, Y, Z ) }.
% 12.78/13.15 (5) {G0,W12,D2,L3,V3,M3} I { ! relstr_set_smaller( X, Y, Z ), ! alpha3( X,
% 12.78/13.15 Y, Z ), alpha1( X, Y, Z ) }.
% 12.78/13.15 (6) {G0,W8,D2,L2,V3,M2} I { ! alpha3( X, Y, Z ), alpha5( X, Y, Z ) }.
% 12.78/13.15 (7) {G0,W8,D2,L2,V3,M2} I { ! alpha3( X, Y, Z ), alpha7( X, Y, Z ) }.
% 12.78/13.15 (8) {G0,W12,D2,L3,V3,M3} I { ! alpha5( X, Y, Z ), ! alpha7( X, Y, Z ),
% 12.78/13.15 alpha3( X, Y, Z ) }.
% 12.78/13.15 (9) {G0,W13,D3,L3,V4,M3} I { ! alpha7( X, Y, Z ), ! element( T, the_carrier
% 12.78/13.15 ( X ) ), alpha10( X, Y, Z, T ) }.
% 12.78/13.15 (10) {G0,W11,D3,L2,V5,M2} I { element( skol2( X, T, U ), the_carrier( X ) )
% 12.78/13.15 , alpha7( X, Y, Z ) }.
% 12.78/13.15 (11) {G0,W12,D3,L2,V3,M2} I { ! alpha10( X, Y, Z, skol2( X, Y, Z ) ),
% 12.78/13.15 alpha7( X, Y, Z ) }.
% 12.78/13.15 (12) {G0,W12,D2,L3,V4,M3} I { ! alpha10( X, Y, Z, T ), ! alpha9( X, Y, T )
% 12.78/13.15 , T = Z }.
% 12.78/13.15 (13) {G0,W9,D2,L2,V4,M2} I { alpha9( X, Y, T ), alpha10( X, Y, Z, T ) }.
% 12.78/13.15 (14) {G0,W8,D2,L2,V4,M2} I { ! T = Z, alpha10( X, Y, Z, T ) }.
% 12.78/13.15 (15) {G0,W8,D2,L2,V3,M2} I { ! alpha9( X, Y, Z ), relstr_set_smaller( X, Y
% 12.78/13.15 , Z ) }.
% 12.78/13.15 (16) {G0,W8,D2,L2,V3,M2} I { ! alpha9( X, Y, Z ), alpha11( X, Y, Z ) }.
% 12.78/13.15 (17) {G0,W12,D2,L3,V3,M3} I { ! relstr_set_smaller( X, Y, Z ), ! alpha11( X
% 12.78/13.15 , Y, Z ), alpha9( X, Y, Z ) }.
% 12.78/13.15 (18) {G0,W13,D3,L3,V4,M3} I { ! alpha11( X, Y, Z ), ! element( T,
% 12.78/13.15 the_carrier( X ) ), alpha12( X, Y, Z, T ) }.
% 12.78/13.15 (19) {G0,W11,D3,L2,V5,M2} I { element( skol3( X, T, U ), the_carrier( X ) )
% 12.78/13.15 , alpha11( X, Y, Z ) }.
% 12.78/13.15 (20) {G0,W12,D3,L2,V3,M2} I { ! alpha12( X, Y, Z, skol3( X, Y, Z ) ),
% 12.78/13.15 alpha11( X, Y, Z ) }.
% 12.78/13.15 (21) {G0,W13,D2,L3,V4,M3} I { ! alpha12( X, Y, Z, T ), ! relstr_set_smaller
% 12.78/13.15 ( X, Y, T ), related( X, Z, T ) }.
% 12.78/13.15 (22) {G0,W9,D2,L2,V4,M2} I { relstr_set_smaller( X, Y, T ), alpha12( X, Y,
% 12.78/13.15 Z, T ) }.
% 12.78/13.15 (23) {G0,W9,D2,L2,V4,M2} I { ! related( X, Z, T ), alpha12( X, Y, Z, T )
% 12.78/13.15 }.
% 12.78/13.15 (24) {G0,W13,D3,L3,V4,M3} I { ! alpha5( X, Y, Z ), ! element( T,
% 12.78/13.15 the_carrier( X ) ), alpha8( X, Y, Z, T ) }.
% 12.78/13.15 (25) {G0,W11,D3,L2,V5,M2} I { element( skol4( X, T, U ), the_carrier( X ) )
% 12.78/13.15 , alpha5( X, Y, Z ) }.
% 12.78/13.15 (26) {G0,W12,D3,L2,V3,M2} I { ! alpha8( X, Y, Z, skol4( X, Y, Z ) ), alpha5
% 12.78/13.15 ( X, Y, Z ) }.
% 12.78/13.15 (27) {G0,W13,D2,L3,V4,M3} I { ! alpha8( X, Y, Z, T ), ! relstr_set_smaller
% 12.78/13.15 ( X, Y, T ), related( X, Z, T ) }.
% 12.78/13.15 (28) {G0,W9,D2,L2,V4,M2} I { relstr_set_smaller( X, Y, T ), alpha8( X, Y, Z
% 12.78/13.15 , T ) }.
% 12.78/13.15 (29) {G0,W9,D2,L2,V4,M2} I { ! related( X, Z, T ), alpha8( X, Y, Z, T ) }.
% 12.78/13.15 (35) {G0,W2,D2,L1,V0,M1} I { antisymmetric_relstr( skol8 ) }.
% 12.78/13.15 (36) {G0,W2,D2,L1,V0,M1} I { rel_str( skol8 ) }.
% 12.78/13.15 (37) {G0,W7,D3,L2,V0,M2} I { alpha13( skol8, skol11 ), element( skol12,
% 12.78/13.15 the_carrier( skol8 ) ) }.
% 12.78/13.15 (38) {G0,W7,D2,L2,V0,M2} I { alpha13( skol8, skol11 ), alpha2( skol8,
% 12.78/13.15 skol11, skol12 ) }.
% 12.78/13.15 (39) {G0,W6,D2,L2,V0,M2} I { alpha13( skol8, skol11 ), !
% 12.78/13.15 ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.15 (40) {G0,W6,D2,L2,V2,M2} I { ! alpha13( X, Y ), ex_sup_of_relstr_set( X, Y
% 12.78/13.15 ) }.
% 12.78/13.15 (41) {G0,W11,D3,L3,V3,M3} I { ! alpha13( X, Y ), ! element( Z, the_carrier
% 12.78/13.15 ( X ) ), ! alpha2( X, Y, Z ) }.
% 12.78/13.15 (44) {G0,W8,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), relstr_set_smaller( X, Y
% 12.78/13.15 , Z ) }.
% 12.78/13.15 (45) {G0,W8,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), alpha4( X, Y, Z ) }.
% 12.78/13.15 (46) {G0,W12,D2,L3,V3,M3} I { ! relstr_set_smaller( X, Y, Z ), ! alpha4( X
% 12.78/13.15 , Y, Z ), alpha2( X, Y, Z ) }.
% 12.78/13.15 (47) {G0,W13,D3,L3,V4,M3} I { ! alpha4( X, Y, Z ), ! element( T,
% 12.78/13.15 the_carrier( X ) ), alpha6( X, Y, Z, T ) }.
% 12.78/13.15 (48) {G0,W11,D3,L2,V5,M2} I { element( skol10( X, T, U ), the_carrier( X )
% 12.78/13.15 ), alpha4( X, Y, Z ) }.
% 12.78/13.15 (49) {G0,W12,D3,L2,V3,M2} I { ! alpha6( X, Y, Z, skol10( X, Y, Z ) ),
% 12.78/13.15 alpha4( X, Y, Z ) }.
% 12.78/13.15 (50) {G0,W13,D2,L3,V4,M3} I { ! alpha6( X, Y, Z, T ), ! relstr_set_smaller
% 12.78/13.15 ( X, Y, T ), related( X, Z, T ) }.
% 12.78/13.15 (51) {G0,W9,D2,L2,V4,M2} I { relstr_set_smaller( X, Y, T ), alpha6( X, Y, Z
% 12.78/13.15 , T ) }.
% 12.78/13.15 (52) {G0,W9,D2,L2,V4,M2} I { ! related( X, Z, T ), alpha6( X, Y, Z, T ) }.
% 12.78/13.15 (53) {G0,W23,D3,L7,V3,M7} I { ! antisymmetric_relstr( X ), ! rel_str( X ),
% 12.78/13.15 ! element( Y, the_carrier( X ) ), ! element( Z, the_carrier( X ) ), !
% 12.78/13.15 related( X, Y, Z ), ! related( X, Z, Y ), Y = Z }.
% 12.78/13.15 (56) {G1,W9,D3,L2,V2,M2} R(0,36) { ! ex_sup_of_relstr_set( skol8, X ),
% 12.78/13.15 element( skol1( skol8, Y ), the_carrier( skol8 ) ) }.
% 12.78/13.15 (60) {G1,W9,D3,L2,V1,M2} R(1,36) { ! ex_sup_of_relstr_set( skol8, X ),
% 12.78/13.15 alpha1( skol8, X, skol1( skol8, X ) ) }.
% 12.78/13.15 (63) {G1,W7,D2,L2,V0,M2} R(38,40) { alpha2( skol8, skol11, skol12 ),
% 12.78/13.15 ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.15 (64) {G1,W11,D3,L3,V1,M3} R(2,39);r(36) { ! element( X, the_carrier( skol8
% 12.78/13.15 ) ), ! alpha1( skol8, skol11, X ), alpha13( skol8, skol11 ) }.
% 12.78/13.15 (74) {G1,W7,D3,L2,V0,M2} R(37,40) { element( skol12, the_carrier( skol8 ) )
% 12.78/13.15 , ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.15 (75) {G2,W10,D2,L3,V1,M3} R(74,2);r(36) { ex_sup_of_relstr_set( skol8,
% 12.78/13.15 skol11 ), ! alpha1( skol8, X, skol12 ), ex_sup_of_relstr_set( skol8, X )
% 12.78/13.15 }.
% 12.78/13.15 (78) {G3,W7,D2,L2,V0,M2} F(75) { ex_sup_of_relstr_set( skol8, skol11 ), !
% 12.78/13.15 alpha1( skol8, skol11, skol12 ) }.
% 12.78/13.15 (79) {G4,W7,D2,L2,V0,M2} R(78,39) { ! alpha1( skol8, skol11, skol12 ),
% 12.78/13.15 alpha13( skol8, skol11 ) }.
% 12.78/13.15 (83) {G2,W7,D2,L2,V0,M2} R(45,63) { alpha4( skol8, skol11, skol12 ),
% 12.78/13.15 ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.15 (88) {G2,W7,D2,L2,V0,M2} R(44,63) { relstr_set_smaller( skol8, skol11,
% 12.78/13.15 skol12 ), ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.15 (89) {G1,W7,D2,L2,V0,M2} R(44,38) { relstr_set_smaller( skol8, skol11,
% 12.78/13.15 skol12 ), alpha13( skol8, skol11 ) }.
% 12.78/13.15 (90) {G3,W10,D3,L2,V0,M2} R(88,1);r(36) { relstr_set_smaller( skol8, skol11
% 12.78/13.15 , skol12 ), alpha1( skol8, skol11, skol1( skol8, skol11 ) ) }.
% 12.78/13.15 (92) {G5,W7,D2,L2,V0,M2} R(5,89);r(79) { ! alpha3( skol8, skol11, skol12 )
% 12.78/13.15 , alpha13( skol8, skol11 ) }.
% 12.78/13.15 (93) {G4,W7,D2,L2,V0,M2} R(5,88);r(78) { ! alpha3( skol8, skol11, skol12 )
% 12.78/13.15 , ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.15 (99) {G1,W8,D2,L2,V3,M2} R(6,4) { alpha5( X, Y, Z ), ! alpha1( X, Y, Z )
% 12.78/13.15 }.
% 12.78/13.15 (101) {G1,W8,D2,L2,V3,M2} R(7,4) { alpha7( X, Y, Z ), ! alpha1( X, Y, Z )
% 12.78/13.15 }.
% 12.78/13.15 (104) {G6,W11,D2,L3,V0,M3} R(8,92) { ! alpha5( skol8, skol11, skol12 ), !
% 12.78/13.15 alpha7( skol8, skol11, skol12 ), alpha13( skol8, skol11 ) }.
% 12.78/13.15 (116) {G1,W9,D2,L2,V4,M2} R(13,16) { alpha10( X, Y, Z, T ), alpha11( X, Y,
% 12.78/13.15 T ) }.
% 12.78/13.15 (120) {G1,W15,D3,L3,V5,M3} R(10,8) { element( skol2( X, Y, Z ), the_carrier
% 12.78/13.15 ( X ) ), ! alpha5( X, T, U ), alpha3( X, T, U ) }.
% 12.78/13.15 (131) {G2,W9,D3,L2,V2,M2} R(56,40) { element( skol1( skol8, X ),
% 12.78/13.15 the_carrier( skol8 ) ), ! alpha13( skol8, Y ) }.
% 12.78/13.15 (136) {G1,W11,D3,L2,V3,M2} R(11,13) { alpha7( X, Y, Z ), alpha9( X, Y,
% 12.78/13.15 skol2( X, Y, Z ) ) }.
% 12.78/13.15 (139) {G1,W10,D3,L2,V3,M2} R(11,14) { alpha7( X, Y, Z ), ! skol2( X, Y, Z )
% 12.78/13.15 ==> Z }.
% 12.78/13.15 (154) {G1,W15,D3,L4,V4,M4} R(12,9) { ! alpha9( X, Y, Z ), Z = T, ! alpha7(
% 12.78/13.15 X, Y, T ), ! element( Z, the_carrier( X ) ) }.
% 12.78/13.15 (162) {G1,W16,D3,L4,V3,M4} P(12,37) { alpha13( skol8, skol11 ), element( X
% 12.78/13.15 , the_carrier( skol8 ) ), ! alpha10( Y, Z, X, skol12 ), ! alpha9( Y, Z,
% 12.78/13.15 skol12 ) }.
% 12.78/13.15 (197) {G1,W16,D2,L4,V4,M4} R(17,12) { ! relstr_set_smaller( X, Y, Z ), !
% 12.78/13.15 alpha11( X, Y, Z ), ! alpha10( X, Y, T, Z ), Z = T }.
% 12.78/13.15 (202) {G3,W11,D2,L3,V0,M3} R(17,88) { ! alpha11( skol8, skol11, skol12 ),
% 12.78/13.15 alpha9( skol8, skol11, skol12 ), ex_sup_of_relstr_set( skol8, skol11 )
% 12.78/13.15 }.
% 12.78/13.15 (203) {G1,W12,D2,L3,V3,M3} R(17,44) { ! alpha11( X, Y, Z ), alpha9( X, Y, Z
% 12.78/13.15 ), ! alpha2( X, Y, Z ) }.
% 12.78/13.15 (207) {G2,W9,D3,L2,V1,M2} R(60,99) { ! ex_sup_of_relstr_set( skol8, X ),
% 12.78/13.15 alpha5( skol8, X, skol1( skol8, X ) ) }.
% 12.78/13.15 (209) {G2,W9,D3,L2,V1,M2} R(60,3) { ! ex_sup_of_relstr_set( skol8, X ),
% 12.78/13.15 relstr_set_smaller( skol8, X, skol1( skol8, X ) ) }.
% 12.78/13.15 (227) {G1,W13,D3,L3,V4,M3} R(18,16) { ! element( X, the_carrier( Y ) ),
% 12.78/13.15 alpha12( Y, Z, T, X ), ! alpha9( Y, Z, T ) }.
% 12.78/13.15 (240) {G3,W10,D3,L2,V0,M2} R(207,74) { alpha5( skol8, skol11, skol1( skol8
% 12.78/13.15 , skol11 ) ), element( skol12, the_carrier( skol8 ) ) }.
% 12.78/13.15 (241) {G3,W10,D3,L2,V0,M2} R(207,63) { alpha5( skol8, skol11, skol1( skol8
% 12.78/13.15 , skol11 ) ), alpha2( skol8, skol11, skol12 ) }.
% 12.78/13.15 (266) {G3,W10,D3,L2,V0,M2} R(209,74) { relstr_set_smaller( skol8, skol11,
% 12.78/13.15 skol1( skol8, skol11 ) ), element( skol12, the_carrier( skol8 ) ) }.
% 12.78/13.15 (269) {G3,W9,D3,L2,V1,M2} R(209,40) { relstr_set_smaller( skol8, X, skol1(
% 12.78/13.15 skol8, X ) ), ! alpha13( skol8, X ) }.
% 12.78/13.15 (272) {G1,W16,D3,L3,V3,M3} R(20,17) { ! alpha12( X, Y, Z, skol3( X, Y, Z )
% 12.78/13.15 ), ! relstr_set_smaller( X, Y, Z ), alpha9( X, Y, Z ) }.
% 12.78/13.15 (305) {G1,W14,D2,L3,V5,M3} R(21,28) { ! alpha12( X, Y, Z, T ), related( X,
% 12.78/13.15 Z, T ), alpha8( X, Y, U, T ) }.
% 12.78/13.15 (307) {G1,W14,D2,L3,V5,M3} R(21,51) { ! alpha12( X, Y, Z, T ), related( X,
% 12.78/13.15 Z, T ), alpha6( X, Y, U, T ) }.
% 12.78/13.15 (363) {G1,W16,D3,L3,V7,M3} R(25,18) { alpha5( X, Y, Z ), ! alpha11( X, T, U
% 12.78/13.15 ), alpha12( X, T, U, skol4( X, W, V0 ) ) }.
% 12.78/13.15 (389) {G1,W14,D2,L3,V5,M3} R(27,22) { ! alpha8( X, Y, Z, T ), related( X, Z
% 12.78/13.15 , T ), alpha12( X, Y, U, T ) }.
% 12.78/13.15 (398) {G1,W13,D2,L3,V4,M3} R(27,44) { ! alpha8( X, Y, Z, T ), related( X, Z
% 12.78/13.15 , T ), ! alpha2( X, Y, T ) }.
% 12.78/13.15 (418) {G3,W12,D3,L3,V3,M3} R(41,131) { ! alpha13( skol8, X ), ! alpha2(
% 12.78/13.15 skol8, X, skol1( skol8, Y ) ), ! alpha13( skol8, Z ) }.
% 12.78/13.15 (425) {G2,W10,D2,L3,V1,M3} R(41,74) { ! alpha13( skol8, X ), ! alpha2(
% 12.78/13.15 skol8, X, skol12 ), ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.15 (429) {G1,W11,D3,L3,V1,M3} R(41,39) { ! element( X, the_carrier( skol8 ) )
% 12.78/13.15 , ! alpha2( skol8, skol11, X ), ! ex_sup_of_relstr_set( skol8, skol11 )
% 12.78/13.15 }.
% 12.78/13.15 (435) {G4,W9,D3,L2,V2,M2} F(418) { ! alpha13( skol8, X ), ! alpha2( skol8,
% 12.78/13.15 X, skol1( skol8, Y ) ) }.
% 12.78/13.15 (441) {G5,W10,D3,L2,V1,M2} R(435,37) { ! alpha2( skol8, skol11, skol1(
% 12.78/13.15 skol8, X ) ), element( skol12, the_carrier( skol8 ) ) }.
% 12.78/13.15 (497) {G6,W10,D3,L2,V0,M2} R(46,266);r(441) { ! alpha4( skol8, skol11,
% 12.78/13.15 skol1( skol8, skol11 ) ), element( skol12, the_carrier( skol8 ) ) }.
% 12.78/13.15 (502) {G5,W9,D3,L2,V1,M2} R(46,269);r(435) { ! alpha4( skol8, X, skol1(
% 12.78/13.15 skol8, X ) ), ! alpha13( skol8, X ) }.
% 12.78/13.15 (510) {G1,W12,D2,L3,V3,M3} R(46,15) { ! alpha4( X, Y, Z ), alpha2( X, Y, Z
% 12.78/13.15 ), ! alpha9( X, Y, Z ) }.
% 12.78/13.15 (516) {G6,W9,D3,L2,V0,M2} R(502,39) { ! alpha4( skol8, skol11, skol1( skol8
% 12.78/13.15 , skol11 ) ), ! ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.15 (537) {G1,W16,D3,L3,V7,M3} R(47,19) { ! alpha4( X, Y, Z ), alpha6( X, Y, Z
% 12.78/13.15 , skol3( X, T, U ) ), alpha11( X, W, V0 ) }.
% 12.78/13.15 (544) {G3,W12,D3,L3,V1,M3} R(47,83) { ! element( X, the_carrier( skol8 ) )
% 12.78/13.15 , alpha6( skol8, skol11, skol12, X ), ex_sup_of_relstr_set( skol8, skol11
% 12.78/13.15 ) }.
% 12.78/13.15 (546) {G2,W12,D2,L3,V2,M3} R(47,74) { ! alpha4( skol8, X, Y ), alpha6(
% 12.78/13.15 skol8, X, Y, skol12 ), ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.15 (569) {G1,W16,D3,L3,V7,M3} R(48,18) { alpha4( X, Y, Z ), ! alpha11( X, T, U
% 12.78/13.15 ), alpha12( X, T, U, skol10( X, W, V0 ) ) }.
% 12.78/13.15 (628) {G1,W14,D2,L3,V5,M3} R(50,22) { ! alpha6( X, Y, Z, T ), related( X, Z
% 12.78/13.15 , T ), alpha12( X, Y, U, T ) }.
% 12.78/13.15 (635) {G2,W12,D2,L3,V1,M3} R(50,89) { ! alpha6( skol8, skol11, X, skol12 )
% 12.78/13.15 , related( skol8, X, skol12 ), alpha13( skol8, skol11 ) }.
% 12.78/13.15 (641) {G4,W15,D3,L3,V1,M3} R(240,24) { element( skol12, the_carrier( skol8
% 12.78/13.15 ) ), ! element( X, the_carrier( skol8 ) ), alpha8( skol8, skol11, skol1
% 12.78/13.15 ( skol8, skol11 ), X ) }.
% 12.78/13.15 (645) {G4,W15,D3,L3,V1,M3} R(241,24) { alpha2( skol8, skol11, skol12 ), !
% 12.78/13.15 element( X, the_carrier( skol8 ) ), alpha8( skol8, skol11, skol1( skol8,
% 12.78/13.15 skol11 ), X ) }.
% 12.78/13.15 (661) {G1,W19,D3,L5,V2,M5} R(53,35);r(36) { ! element( X, the_carrier(
% 12.78/13.15 skol8 ) ), ! element( Y, the_carrier( skol8 ) ), ! related( skol8, X, Y )
% 12.78/13.15 , ! related( skol8, Y, X ), X = Y }.
% 12.78/13.15 (936) {G4,W14,D3,L3,V2,M3} R(202,19) { alpha9( skol8, skol11, skol12 ),
% 12.78/13.15 ex_sup_of_relstr_set( skol8, skol11 ), element( skol3( skol8, X, Y ),
% 12.78/13.15 the_carrier( skol8 ) ) }.
% 12.78/13.15 (948) {G7,W13,D3,L3,V0,M3} R(104,139) { ! alpha5( skol8, skol11, skol12 ),
% 12.78/13.15 alpha13( skol8, skol11 ), ! skol2( skol8, skol11, skol12 ) ==> skol12 }.
% 12.78/13.15 (1431) {G3,W12,D2,L3,V2,M3} R(546,45) { alpha6( skol8, X, Y, skol12 ),
% 12.78/13.15 ex_sup_of_relstr_set( skol8, skol11 ), ! alpha2( skol8, X, Y ) }.
% 12.78/13.15 (1629) {G4,W11,D2,L3,V1,M3} R(635,1431);r(40) { related( skol8, X, skol12 )
% 12.78/13.15 , ex_sup_of_relstr_set( skol8, skol11 ), ! alpha2( skol8, skol11, X ) }.
% 12.78/13.15 (2624) {G2,W15,D2,L3,V6,M3} R(305,29) { ! alpha12( X, Y, Z, T ), alpha8( X
% 12.78/13.15 , Y, U, T ), alpha8( X, W, Z, T ) }.
% 12.78/13.15 (2626) {G3,W10,D2,L2,V4,M2} F(2624) { ! alpha12( X, Y, Z, T ), alpha8( X, Y
% 12.78/13.15 , Z, T ) }.
% 12.78/13.15 (2628) {G4,W13,D3,L3,V4,M3} R(2626,227) { alpha8( X, Y, Z, T ), ! element(
% 12.78/13.15 T, the_carrier( X ) ), ! alpha9( X, Y, Z ) }.
% 12.78/13.15 (2643) {G4,W12,D3,L2,V3,M2} R(2626,26) { ! alpha12( X, Y, Z, skol4( X, Y, Z
% 12.78/13.15 ) ), alpha5( X, Y, Z ) }.
% 12.78/13.15 (2682) {G2,W15,D2,L3,V6,M3} R(307,52) { ! alpha12( X, Y, Z, T ), alpha6( X
% 12.78/13.15 , Y, U, T ), alpha6( X, W, Z, T ) }.
% 12.78/13.15 (2683) {G3,W10,D2,L2,V4,M2} F(2682) { ! alpha12( X, Y, Z, T ), alpha6( X, Y
% 12.78/13.15 , Z, T ) }.
% 12.78/13.15 (2700) {G4,W12,D3,L2,V3,M2} R(2683,49) { ! alpha12( X, Y, Z, skol10( X, Y,
% 12.78/13.15 Z ) ), alpha4( X, Y, Z ) }.
% 12.78/13.15 (2821) {G2,W15,D2,L3,V6,M3} R(628,23) { ! alpha6( X, Y, Z, T ), alpha12( X
% 12.78/13.15 , Y, U, T ), alpha12( X, W, Z, T ) }.
% 12.78/13.15 (2824) {G3,W10,D2,L2,V4,M2} F(2821) { ! alpha6( X, Y, Z, T ), alpha12( X, Y
% 12.78/13.15 , Z, T ) }.
% 12.78/13.15 (2840) {G4,W12,D3,L3,V1,M3} R(2824,544) { alpha12( skol8, skol11, skol12, X
% 12.78/13.15 ), ! element( X, the_carrier( skol8 ) ), ex_sup_of_relstr_set( skol8,
% 12.78/13.15 skol11 ) }.
% 12.78/13.15 (2851) {G4,W12,D3,L2,V3,M2} R(2824,20) { ! alpha6( X, Y, Z, skol3( X, Y, Z
% 12.78/13.15 ) ), alpha11( X, Y, Z ) }.
% 12.78/13.15 (2987) {G5,W11,D2,L3,V0,M3} R(2840,272);r(936) { ex_sup_of_relstr_set(
% 12.78/13.15 skol8, skol11 ), ! relstr_set_smaller( skol8, skol11, skol12 ), alpha9(
% 12.78/13.15 skol8, skol11, skol12 ) }.
% 12.78/13.15 (3002) {G6,W7,D2,L2,V0,M2} S(2987);r(88) { ex_sup_of_relstr_set( skol8,
% 12.78/13.15 skol11 ), alpha9( skol8, skol11, skol12 ) }.
% 12.78/13.15 (3089) {G7,W10,D3,L2,V0,M2} R(3002,516) { alpha9( skol8, skol11, skol12 ),
% 12.78/13.15 ! alpha4( skol8, skol11, skol1( skol8, skol11 ) ) }.
% 12.78/13.15 (3095) {G7,W11,D2,L3,V1,M3} R(3002,12) { ex_sup_of_relstr_set( skol8,
% 12.78/13.15 skol11 ), ! alpha10( skol8, skol11, X, skol12 ), skol12 = X }.
% 12.78/13.15 (3097) {G7,W7,D2,L2,V0,M2} R(3002,16) { ex_sup_of_relstr_set( skol8, skol11
% 12.78/13.15 ), alpha11( skol8, skol11, skol12 ) }.
% 12.78/13.15 (3098) {G7,W7,D2,L2,V0,M2} R(3002,39) { alpha9( skol8, skol11, skol12 ),
% 12.78/13.15 alpha13( skol8, skol11 ) }.
% 12.78/13.15 (3139) {G8,W7,D2,L2,V0,M2} R(3097,39) { alpha11( skol8, skol11, skol12 ),
% 12.78/13.15 alpha13( skol8, skol11 ) }.
% 12.78/13.15 (3142) {G9,W11,D2,L3,V1,M3} R(3139,197);r(89) { alpha13( skol8, skol11 ), !
% 12.78/13.15 alpha10( skol8, skol11, X, skol12 ), skol12 = X }.
% 12.78/13.15 (3151) {G8,W10,D2,L3,V1,M3} R(3098,154);r(37) { alpha13( skol8, skol11 ),
% 12.78/13.15 skol12 = X, ! alpha7( skol8, skol11, X ) }.
% 12.78/13.15 (3762) {G5,W12,D2,L3,V5,M3} R(363,2643) { alpha5( X, Y, Z ), ! alpha11( X,
% 12.78/13.15 T, U ), alpha5( X, T, U ) }.
% 12.78/13.15 (3763) {G6,W8,D2,L2,V3,M2} F(3762) { alpha5( X, Y, Z ), ! alpha11( X, Y, Z
% 12.78/13.15 ) }.
% 12.78/13.15 (3766) {G8,W7,D2,L2,V0,M2} R(3763,3097) { alpha5( skol8, skol11, skol12 ),
% 12.78/13.15 ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.15 (3769) {G9,W9,D3,L2,V0,M2} R(3763,948);r(3139) { alpha13( skol8, skol11 ),
% 12.78/13.15 ! skol2( skol8, skol11, skol12 ) ==> skol12 }.
% 12.78/13.15 (3782) {G7,W8,D2,L2,V3,M2} R(3763,16) { alpha5( X, Y, Z ), ! alpha9( X, Y,
% 12.78/13.15 Z ) }.
% 12.78/13.15 (3812) {G9,W10,D3,L2,V2,M2} R(3766,120);r(93) { ex_sup_of_relstr_set( skol8
% 12.78/13.15 , skol11 ), element( skol2( skol8, X, Y ), the_carrier( skol8 ) ) }.
% 12.78/13.15 (3902) {G9,W10,D2,L3,V1,M3} R(3151,101) { alpha13( skol8, skol11 ), skol12
% 12.78/13.15 = X, ! alpha1( skol8, skol11, X ) }.
% 12.78/13.15 (3903) {G9,W10,D2,L3,V1,M3} R(3151,7) { alpha13( skol8, skol11 ), skol12 =
% 12.78/13.15 X, ! alpha3( skol8, skol11, X ) }.
% 12.78/13.15 (4101) {G10,W7,D2,L2,V1,M2} P(3902,37);f;r(64) { alpha13( skol8, skol11 ),
% 12.78/13.15 ! alpha1( skol8, skol11, X ) }.
% 12.78/13.15 (4137) {G11,W7,D2,L2,V1,M2} R(4101,425);r(63) { ! alpha1( skol8, skol11, X
% 12.78/13.15 ), ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.15 (4139) {G11,W11,D2,L3,V1,M3} R(4101,5) { alpha13( skol8, skol11 ), !
% 12.78/13.15 relstr_set_smaller( skol8, skol11, X ), ! alpha3( skol8, skol11, X ) }.
% 12.78/13.15 (4240) {G12,W7,D2,L2,V1,M2} P(3903,89);f;r(4139) { alpha13( skol8, skol11 )
% 12.78/13.15 , ! alpha3( skol8, skol11, X ) }.
% 12.78/13.15 (4272) {G13,W7,D2,L2,V1,M2} R(4240,425);r(63) { ! alpha3( skol8, skol11, X
% 12.78/13.15 ), ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.15 (4277) {G14,W11,D2,L3,V1,M3} R(4272,8) { ex_sup_of_relstr_set( skol8,
% 12.78/13.15 skol11 ), ! alpha5( skol8, skol11, X ), ! alpha7( skol8, skol11, X ) }.
% 12.78/13.15 (4719) {G2,W15,D2,L3,V6,M3} R(389,23) { ! alpha8( X, Y, Z, T ), alpha12( X
% 12.78/13.15 , Y, U, T ), alpha12( X, W, Z, T ) }.
% 12.78/13.15 (4722) {G3,W10,D2,L2,V4,M2} F(4719) { ! alpha8( X, Y, Z, T ), alpha12( X, Y
% 12.78/13.15 , Z, T ) }.
% 12.78/13.15 (4759) {G4,W10,D2,L2,V4,M2} R(4722,2683) { ! alpha8( X, Y, Z, T ), alpha6(
% 12.78/13.15 X, Y, Z, T ) }.
% 12.78/13.15 (4923) {G15,W11,D2,L3,V1,M3} R(4277,3782) { ex_sup_of_relstr_set( skol8,
% 12.78/13.15 skol11 ), ! alpha7( skol8, skol11, X ), ! alpha9( skol8, skol11, X ) }.
% 12.78/13.15 (4955) {G16,W11,D2,L3,V1,M3} R(4923,39) { ! alpha7( skol8, skol11, X ), !
% 12.78/13.15 alpha9( skol8, skol11, X ), alpha13( skol8, skol11 ) }.
% 12.78/13.15 (4966) {G17,W12,D2,L3,V2,M3} R(4955,13) { ! alpha7( skol8, skol11, X ),
% 12.78/13.15 alpha13( skol8, skol11 ), alpha10( skol8, skol11, Y, X ) }.
% 12.78/13.15 (5035) {G18,W10,D2,L3,V2,M3} P(3151,3142);f;r(4966) { alpha13( skol8,
% 12.78/13.15 skol11 ), X = Y, ! alpha7( skol8, skol11, X ) }.
% 12.78/13.15 (5115) {G19,W10,D2,L3,V2,M3} R(5035,425);r(63) { X = Y, ! alpha7( skol8,
% 12.78/13.15 skol11, X ), ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.15 (5548) {G20,W10,D2,L3,V1,M3} P(5115,3769);r(40) { ! X = skol12, ! alpha7(
% 12.78/13.15 skol8, skol11, X ), ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.15 (5679) {G21,W7,D2,L2,V1,M2} S(5548);r(5115) { ! alpha7( skol8, skol11, X )
% 12.78/13.15 , ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.15 (5701) {G22,W10,D3,L2,V1,M2} R(5679,136) { ex_sup_of_relstr_set( skol8,
% 12.78/13.15 skol11 ), alpha9( skol8, skol11, skol2( skol8, skol11, X ) ) }.
% 12.78/13.15 (5715) {G22,W9,D3,L2,V1,M2} R(5679,139) { ex_sup_of_relstr_set( skol8,
% 12.78/13.15 skol11 ), ! skol2( skol8, skol11, X ) ==> X }.
% 12.78/13.15 (5918) {G12,W12,D2,L3,V1,M3} P(3095,90);r(4137) { relstr_set_smaller( skol8
% 12.78/13.15 , skol11, X ), ex_sup_of_relstr_set( skol8, skol11 ), ! alpha10( skol8,
% 12.78/13.15 skol11, X, skol12 ) }.
% 12.78/13.15 (6410) {G13,W10,D2,L3,V1,M3} R(5918,14) { relstr_set_smaller( skol8, skol11
% 12.78/13.15 , X ), ex_sup_of_relstr_set( skol8, skol11 ), ! skol12 = X }.
% 12.78/13.15 (6463) {G5,W12,D2,L3,V5,M3} R(537,2851) { ! alpha4( X, Y, Z ), alpha11( X,
% 12.78/13.15 T, U ), alpha11( X, Y, Z ) }.
% 12.78/13.15 (6464) {G6,W8,D2,L2,V3,M2} F(6463) { ! alpha4( X, Y, Z ), alpha11( X, Y, Z
% 12.78/13.15 ) }.
% 12.78/13.15 (6513) {G7,W8,D2,L2,V3,M2} R(6464,203);r(45) { alpha9( X, Y, Z ), ! alpha2
% 12.78/13.15 ( X, Y, Z ) }.
% 12.78/13.15 (6766) {G5,W12,D2,L3,V5,M3} R(569,2700) { alpha4( X, Y, Z ), ! alpha11( X,
% 12.78/13.15 T, U ), alpha4( X, T, U ) }.
% 12.78/13.15 (6767) {G6,W8,D2,L2,V3,M2} F(6766) { alpha4( X, Y, Z ), ! alpha11( X, Y, Z
% 12.78/13.15 ) }.
% 12.78/13.15 (6803) {G7,W12,D3,L2,V3,M2} R(6767,2851) { alpha4( X, Y, Z ), ! alpha6( X,
% 12.78/13.15 Y, Z, skol3( X, Y, Z ) ) }.
% 12.78/13.15 (6829) {G7,W8,D2,L2,V3,M2} R(6767,510);r(16) { alpha2( X, Y, Z ), ! alpha9
% 12.78/13.15 ( X, Y, Z ) }.
% 12.78/13.15 (6840) {G7,W9,D3,L2,V1,M2} R(6767,502) { ! alpha11( skol8, X, skol1( skol8
% 12.78/13.15 , X ) ), ! alpha13( skol8, X ) }.
% 12.78/13.15 (6844) {G7,W9,D2,L2,V4,M2} R(6767,116) { alpha4( X, Y, Z ), alpha10( X, Y,
% 12.78/13.15 T, Z ) }.
% 12.78/13.15 (6885) {G23,W10,D3,L2,V1,M2} R(6829,5701) { alpha2( skol8, skol11, skol2(
% 12.78/13.15 skol8, skol11, X ) ), ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.15 (6949) {G8,W11,D3,L3,V1,M3} R(6829,429) { ! alpha9( skol8, skol11, X ), !
% 12.78/13.15 element( X, the_carrier( skol8 ) ), ! ex_sup_of_relstr_set( skol8, skol11
% 12.78/13.15 ) }.
% 12.78/13.15 (6974) {G8,W11,D3,L3,V3,M3} R(6829,41) { ! alpha9( X, Y, Z ), ! alpha13( X
% 12.78/13.15 , Y ), ! element( Z, the_carrier( X ) ) }.
% 12.78/13.15 (7276) {G8,W10,D3,L2,V3,M2} R(6840,19) { ! alpha13( skol8, X ), element(
% 12.78/13.15 skol3( skol8, Y, Z ), the_carrier( skol8 ) ) }.
% 12.78/13.15 (7540) {G9,W11,D3,L2,V2,M2} R(7276,3098) { element( skol3( skol8, X, Y ),
% 12.78/13.15 the_carrier( skol8 ) ), alpha9( skol8, skol11, skol12 ) }.
% 12.78/13.15 (7568) {G9,W11,D3,L2,V2,M2} R(7276,37) { element( skol3( skol8, X, Y ),
% 12.78/13.15 the_carrier( skol8 ) ), element( skol12, the_carrier( skol8 ) ) }.
% 12.78/13.15 (8589) {G10,W14,D3,L2,V2,M2} R(641,7568);f { element( skol12, the_carrier(
% 12.78/13.15 skol8 ) ), alpha8( skol8, skol11, skol1( skol8, skol11 ), skol3( skol8, X
% 12.78/13.15 , Y ) ) }.
% 12.78/13.15 (8650) {G10,W14,D3,L2,V2,M2} R(645,7540);r(6513) { alpha8( skol8, skol11,
% 12.78/13.15 skol1( skol8, skol11 ), skol3( skol8, X, Y ) ), alpha9( skol8, skol11,
% 12.78/13.15 skol12 ) }.
% 12.78/13.15 (8887) {G8,W12,D3,L2,V3,M2} R(6803,4759) { alpha4( X, Y, Z ), ! alpha8( X,
% 12.78/13.15 Y, Z, skol3( X, Y, Z ) ) }.
% 12.78/13.15 (8895) {G11,W4,D2,L1,V0,M1} R(8887,3089);r(8650) { alpha9( skol8, skol11,
% 12.78/13.15 skol12 ) }.
% 12.78/13.15 (8908) {G11,W4,D3,L1,V0,M1} R(8887,497);r(8589) { element( skol12,
% 12.78/13.15 the_carrier( skol8 ) ) }.
% 12.78/13.15 (8925) {G12,W3,D2,L1,V0,M1} R(8895,6949);r(8908) { ! ex_sup_of_relstr_set(
% 12.78/13.15 skol8, skol11 ) }.
% 12.78/13.15 (8926) {G12,W3,D2,L1,V0,M1} R(8895,6974);r(8908) { ! alpha13( skol8, skol11
% 12.78/13.15 ) }.
% 12.78/13.15 (8936) {G12,W9,D3,L2,V1,M2} R(8895,2628) { alpha8( skol8, skol11, skol12, X
% 12.78/13.15 ), ! element( X, the_carrier( skol8 ) ) }.
% 12.78/13.15 (8962) {G12,W9,D3,L2,V1,M2} R(8895,227) { ! element( X, the_carrier( skol8
% 12.78/13.15 ) ), alpha12( skol8, skol11, skol12, X ) }.
% 12.78/13.15 (8976) {G13,W9,D3,L2,V1,M2} R(8895,162);r(8926) { element( X, the_carrier(
% 12.78/13.15 skol8 ) ), ! alpha10( skol8, skol11, X, skol12 ) }.
% 12.78/13.15 (8992) {G12,W8,D2,L2,V1,M2} R(8895,12) { ! alpha10( skol8, skol11, X,
% 12.78/13.15 skol12 ), skol12 = X }.
% 12.78/13.15 (8996) {G24,W7,D3,L1,V1,M1} R(8925,6885) { alpha2( skol8, skol11, skol2(
% 12.78/13.15 skol8, skol11, X ) ) }.
% 12.78/13.15 (8999) {G14,W7,D2,L2,V1,M2} R(8925,6410) { relstr_set_smaller( skol8,
% 12.78/13.15 skol11, X ), ! skol12 = X }.
% 12.78/13.15 (9027) {G23,W6,D3,L1,V1,M1} R(8925,5715) { ! skol2( skol8, skol11, X ) ==>
% 12.78/13.15 X }.
% 12.78/13.15 (9029) {G13,W7,D3,L1,V2,M1} R(8925,3812) { element( skol2( skol8, X, Y ),
% 12.78/13.15 the_carrier( skol8 ) ) }.
% 12.78/13.15 (9097) {G13,W8,D2,L2,V1,M2} R(8925,1629) { related( skol8, X, skol12 ), !
% 12.78/13.15 alpha2( skol8, skol11, X ) }.
% 12.78/13.15 (9337) {G15,W11,D2,L3,V1,M3} R(8999,46) { ! skol12 = X, ! alpha4( skol8,
% 12.78/13.15 skol11, X ), alpha2( skol8, skol11, X ) }.
% 12.78/13.15 (9558) {G14,W15,D3,L4,V1,M4} R(9097,661);r(8908) { ! alpha2( skol8, skol11
% 12.78/13.15 , X ), ! element( X, the_carrier( skol8 ) ), ! related( skol8, skol12, X
% 12.78/13.15 ), X = skol12 }.
% 12.78/13.15 (9595) {G24,W11,D3,L2,V1,M2} P(8992,9027) { ! skol12 = X, ! alpha10( skol8
% 12.78/13.15 , skol11, skol2( skol8, skol11, X ), skol12 ) }.
% 12.78/13.15 (10249) {G13,W12,D3,L3,V1,M3} R(8936,398) { ! element( X, the_carrier(
% 12.78/13.15 skol8 ) ), related( skol8, skol12, X ), ! alpha2( skol8, skol11, X ) }.
% 12.78/13.15 (10317) {G14,W7,D3,L2,V1,M2} R(8976,14) { element( X, the_carrier( skol8 )
% 12.78/13.15 ), ! skol12 = X }.
% 12.78/13.15 (10321) {G15,W8,D2,L2,V1,M2} R(10317,8962) { ! skol12 = X, alpha12( skol8,
% 12.78/13.15 skol11, skol12, X ) }.
% 12.78/13.15 (10381) {G16,W7,D2,L2,V1,M2} R(10321,21);r(8999) { ! skol12 = X, related(
% 12.78/13.15 skol8, skol12, X ) }.
% 12.78/13.15 (10385) {G17,W14,D3,L4,V1,M4} R(10381,661);r(10317) { ! skol12 = X, !
% 12.78/13.15 element( skol12, the_carrier( skol8 ) ), ! related( skol8, X, skol12 ), X
% 12.78/13.15 = skol12 }.
% 12.78/13.15 (10396) {G17,W12,D2,L3,V2,M3} P(8992,10381) { ! X = Y, related( skol8, X, Y
% 12.78/13.15 ), ! alpha10( skol8, skol11, X, skol12 ) }.
% 12.78/13.15 (13062) {G25,W9,D3,L2,V1,M2} R(9595,14) { ! skol12 = X, ! skol2( skol8,
% 12.78/13.15 skol11, X ) ==> skol12 }.
% 12.78/13.15 (16643) {G18,W10,D2,L3,V2,M3} R(10396,14) { ! X = Y, related( skol8, X, Y )
% 12.78/13.15 , ! skol12 = X }.
% 12.78/13.15 (20000) {G19,W6,D2,L2,V1,M2} S(10385);r(8908);r(16643) { ! skol12 = X, X =
% 12.78/13.15 skol12 }.
% 12.78/13.15 (20001) {G15,W11,D3,L3,V1,M3} S(9558);r(10249) { ! alpha2( skol8, skol11, X
% 12.78/13.15 ), ! element( X, the_carrier( skol8 ) ), X = skol12 }.
% 12.78/13.15 (20026) {G20,W9,D2,L3,V2,M3} P(20000,20000) { ! X = Y, Y = X, ! skol12 = X
% 12.78/13.15 }.
% 12.78/13.15 (20826) {G20,W11,D2,L3,V2,M3} P(20000,8992) { ! alpha10( skol8, skol11, Y,
% 12.78/13.15 X ), X = Y, ! skol12 = X }.
% 12.78/13.15 (22120) {G26,W12,D3,L3,V2,M3} P(20026,13062);r(20026) { ! skol12 = X, ! Y =
% 12.78/13.15 skol12, ! Y = skol2( skol8, skol11, X ) }.
% 12.78/13.15 (22270) {G27,W9,D3,L2,V1,M2} Q(22120) { ! X = skol12, ! X = skol2( skol8,
% 12.78/13.15 skol11, skol12 ) }.
% 12.78/13.15 (25963) {G21,W10,D2,L3,V2,M3} R(20826,6844) { X = Y, ! skol12 = X, alpha4(
% 12.78/13.15 skol8, skol11, X ) }.
% 12.78/13.15 (26188) {G28,W7,D2,L2,V1,M2} R(25963,22270);r(25963) { ! skol12 = X, alpha4
% 12.78/13.15 ( skol8, skol11, X ) }.
% 12.78/13.15 (26234) {G29,W7,D2,L2,V1,M2} R(26188,9337);f { ! skol12 = X, alpha2( skol8
% 12.78/13.15 , skol11, X ) }.
% 12.78/13.15 (27958) {G25,W6,D3,L1,V1,M1} R(20001,8996);r(9029) { skol2( skol8, skol11,
% 12.78/13.15 X ) ==> skol12 }.
% 12.78/13.15 (28069) {G30,W10,D3,L3,V2,M3} P(20001,13062);d(27958);r(26234) { ! X = Y, !
% 12.78/13.15 element( X, the_carrier( skol8 ) ), ! skol12 = X }.
% 12.78/13.15 (28096) {G31,W0,D0,L0,V0,M0} F(28069);q;r(8908) { }.
% 12.78/13.15
% 12.78/13.15
% 12.78/13.15 % SZS output end Refutation
% 12.78/13.15 found a proof!
% 12.78/13.15
% 12.78/13.15
% 12.78/13.15 Unprocessed initial clauses:
% 12.78/13.15
% 12.78/13.15 (28098) {G0,W11,D3,L3,V3,M3} { ! rel_str( X ), ! ex_sup_of_relstr_set( X,
% 12.78/13.15 Y ), element( skol1( X, Z ), the_carrier( X ) ) }.
% 12.78/13.15 (28099) {G0,W11,D3,L3,V2,M3} { ! rel_str( X ), ! ex_sup_of_relstr_set( X,
% 12.78/13.15 Y ), alpha1( X, Y, skol1( X, Y ) ) }.
% 12.78/13.15 (28100) {G0,W13,D3,L4,V3,M4} { ! rel_str( X ), ! element( Z, the_carrier(
% 12.78/13.15 X ) ), ! alpha1( X, Y, Z ), ex_sup_of_relstr_set( X, Y ) }.
% 12.78/13.15 (28101) {G0,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), relstr_set_smaller( X,
% 12.78/13.15 Y, Z ) }.
% 12.78/13.15 (28102) {G0,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), alpha3( X, Y, Z ) }.
% 12.78/13.15 (28103) {G0,W12,D2,L3,V3,M3} { ! relstr_set_smaller( X, Y, Z ), ! alpha3(
% 12.78/13.15 X, Y, Z ), alpha1( X, Y, Z ) }.
% 12.78/13.15 (28104) {G0,W8,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), alpha5( X, Y, Z ) }.
% 12.78/13.15 (28105) {G0,W8,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), alpha7( X, Y, Z ) }.
% 12.78/13.15 (28106) {G0,W12,D2,L3,V3,M3} { ! alpha5( X, Y, Z ), ! alpha7( X, Y, Z ),
% 12.78/13.15 alpha3( X, Y, Z ) }.
% 12.78/13.15 (28107) {G0,W13,D3,L3,V4,M3} { ! alpha7( X, Y, Z ), ! element( T,
% 12.78/13.15 the_carrier( X ) ), alpha10( X, Y, Z, T ) }.
% 12.78/13.15 (28108) {G0,W11,D3,L2,V5,M2} { element( skol2( X, T, U ), the_carrier( X )
% 12.78/13.15 ), alpha7( X, Y, Z ) }.
% 12.78/13.15 (28109) {G0,W12,D3,L2,V3,M2} { ! alpha10( X, Y, Z, skol2( X, Y, Z ) ),
% 12.78/13.15 alpha7( X, Y, Z ) }.
% 12.78/13.15 (28110) {G0,W12,D2,L3,V4,M3} { ! alpha10( X, Y, Z, T ), ! alpha9( X, Y, T
% 12.78/13.15 ), T = Z }.
% 12.78/13.15 (28111) {G0,W9,D2,L2,V4,M2} { alpha9( X, Y, T ), alpha10( X, Y, Z, T ) }.
% 12.78/13.15 (28112) {G0,W8,D2,L2,V4,M2} { ! T = Z, alpha10( X, Y, Z, T ) }.
% 12.78/13.15 (28113) {G0,W8,D2,L2,V3,M2} { ! alpha9( X, Y, Z ), relstr_set_smaller( X,
% 12.78/13.15 Y, Z ) }.
% 12.78/13.15 (28114) {G0,W8,D2,L2,V3,M2} { ! alpha9( X, Y, Z ), alpha11( X, Y, Z ) }.
% 12.78/13.15 (28115) {G0,W12,D2,L3,V3,M3} { ! relstr_set_smaller( X, Y, Z ), ! alpha11
% 12.78/13.15 ( X, Y, Z ), alpha9( X, Y, Z ) }.
% 12.78/13.15 (28116) {G0,W13,D3,L3,V4,M3} { ! alpha11( X, Y, Z ), ! element( T,
% 12.78/13.15 the_carrier( X ) ), alpha12( X, Y, Z, T ) }.
% 12.78/13.15 (28117) {G0,W11,D3,L2,V5,M2} { element( skol3( X, T, U ), the_carrier( X )
% 12.78/13.15 ), alpha11( X, Y, Z ) }.
% 12.78/13.15 (28118) {G0,W12,D3,L2,V3,M2} { ! alpha12( X, Y, Z, skol3( X, Y, Z ) ),
% 12.78/13.15 alpha11( X, Y, Z ) }.
% 12.78/13.15 (28119) {G0,W13,D2,L3,V4,M3} { ! alpha12( X, Y, Z, T ), !
% 12.78/13.15 relstr_set_smaller( X, Y, T ), related( X, Z, T ) }.
% 12.78/13.15 (28120) {G0,W9,D2,L2,V4,M2} { relstr_set_smaller( X, Y, T ), alpha12( X, Y
% 12.78/13.15 , Z, T ) }.
% 12.78/13.15 (28121) {G0,W9,D2,L2,V4,M2} { ! related( X, Z, T ), alpha12( X, Y, Z, T )
% 12.78/13.15 }.
% 12.78/13.15 (28122) {G0,W13,D3,L3,V4,M3} { ! alpha5( X, Y, Z ), ! element( T,
% 12.78/13.15 the_carrier( X ) ), alpha8( X, Y, Z, T ) }.
% 12.78/13.15 (28123) {G0,W11,D3,L2,V5,M2} { element( skol4( X, T, U ), the_carrier( X )
% 12.78/13.15 ), alpha5( X, Y, Z ) }.
% 12.78/13.15 (28124) {G0,W12,D3,L2,V3,M2} { ! alpha8( X, Y, Z, skol4( X, Y, Z ) ),
% 12.78/13.15 alpha5( X, Y, Z ) }.
% 12.78/13.15 (28125) {G0,W13,D2,L3,V4,M3} { ! alpha8( X, Y, Z, T ), !
% 12.78/13.15 relstr_set_smaller( X, Y, T ), related( X, Z, T ) }.
% 12.78/13.15 (28126) {G0,W9,D2,L2,V4,M2} { relstr_set_smaller( X, Y, T ), alpha8( X, Y
% 12.78/13.15 , Z, T ) }.
% 12.78/13.15 (28127) {G0,W9,D2,L2,V4,M2} { ! related( X, Z, T ), alpha8( X, Y, Z, T )
% 12.78/13.15 }.
% 12.78/13.15 (28128) {G0,W4,D2,L2,V1,M2} { ! rel_str( X ), one_sorted_str( X ) }.
% 12.78/13.15 (28129) {G0,W1,D1,L1,V0,M1} { && }.
% 12.78/13.15 (28130) {G0,W1,D1,L1,V0,M1} { && }.
% 12.78/13.15 (28131) {G0,W1,D1,L1,V0,M1} { && }.
% 12.78/13.15 (28132) {G0,W2,D2,L1,V0,M1} { rel_str( skol5 ) }.
% 12.78/13.15 (28133) {G0,W2,D2,L1,V0,M1} { one_sorted_str( skol6 ) }.
% 12.78/13.15 (28134) {G0,W4,D3,L1,V1,M1} { element( skol7( X ), X ) }.
% 12.78/13.15 (28135) {G0,W2,D2,L1,V0,M1} { antisymmetric_relstr( skol8 ) }.
% 12.78/13.15 (28136) {G0,W2,D2,L1,V0,M1} { rel_str( skol8 ) }.
% 12.78/13.15 (28137) {G0,W7,D3,L2,V0,M2} { alpha13( skol8, skol11 ), element( skol12,
% 12.78/13.15 the_carrier( skol8 ) ) }.
% 12.78/13.15 (28138) {G0,W7,D2,L2,V0,M2} { alpha13( skol8, skol11 ), alpha2( skol8,
% 12.78/13.15 skol11, skol12 ) }.
% 12.78/13.15 (28139) {G0,W6,D2,L2,V0,M2} { alpha13( skol8, skol11 ), !
% 12.78/13.15 ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.15 (28140) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), ex_sup_of_relstr_set( X,
% 12.78/13.15 Y ) }.
% 12.78/13.15 (28141) {G0,W11,D3,L3,V3,M3} { ! alpha13( X, Y ), ! element( Z,
% 12.78/13.15 the_carrier( X ) ), ! alpha2( X, Y, Z ) }.
% 12.78/13.15 (28142) {G0,W12,D3,L3,V3,M3} { ! ex_sup_of_relstr_set( X, Y ), element(
% 12.78/13.15 skol9( X, Z ), the_carrier( X ) ), alpha13( X, Y ) }.
% 12.78/13.15 (28143) {G0,W12,D3,L3,V2,M3} { ! ex_sup_of_relstr_set( X, Y ), alpha2( X,
% 12.78/13.15 Y, skol9( X, Y ) ), alpha13( X, Y ) }.
% 12.78/13.15 (28144) {G0,W8,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), relstr_set_smaller( X,
% 12.78/13.15 Y, Z ) }.
% 12.78/13.15 (28145) {G0,W8,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha4( X, Y, Z ) }.
% 12.78/13.15 (28146) {G0,W12,D2,L3,V3,M3} { ! relstr_set_smaller( X, Y, Z ), ! alpha4(
% 12.78/13.15 X, Y, Z ), alpha2( X, Y, Z ) }.
% 12.78/13.15 (28147) {G0,W13,D3,L3,V4,M3} { ! alpha4( X, Y, Z ), ! element( T,
% 12.78/13.15 the_carrier( X ) ), alpha6( X, Y, Z, T ) }.
% 12.78/13.15 (28148) {G0,W11,D3,L2,V5,M2} { element( skol10( X, T, U ), the_carrier( X
% 12.78/13.15 ) ), alpha4( X, Y, Z ) }.
% 12.78/13.15 (28149) {G0,W12,D3,L2,V3,M2} { ! alpha6( X, Y, Z, skol10( X, Y, Z ) ),
% 12.78/13.15 alpha4( X, Y, Z ) }.
% 12.78/13.15 (28150) {G0,W13,D2,L3,V4,M3} { ! alpha6( X, Y, Z, T ), !
% 12.78/13.15 relstr_set_smaller( X, Y, T ), related( X, Z, T ) }.
% 12.78/13.15 (28151) {G0,W9,D2,L2,V4,M2} { relstr_set_smaller( X, Y, T ), alpha6( X, Y
% 12.78/13.15 , Z, T ) }.
% 12.78/13.15 (28152) {G0,W9,D2,L2,V4,M2} { ! related( X, Z, T ), alpha6( X, Y, Z, T )
% 12.78/13.15 }.
% 12.78/13.15 (28153) {G0,W23,D3,L7,V3,M7} { ! antisymmetric_relstr( X ), ! rel_str( X )
% 12.78/13.15 , ! element( Y, the_carrier( X ) ), ! element( Z, the_carrier( X ) ), !
% 12.78/13.15 related( X, Y, Z ), ! related( X, Z, Y ), Y = Z }.
% 12.78/13.15
% 12.78/13.15
% 12.78/13.15 Total Proof:
% 12.78/13.15
% 12.78/13.15 subsumption: (0) {G0,W11,D3,L3,V3,M3} I { ! rel_str( X ), !
% 12.78/13.15 ex_sup_of_relstr_set( X, Y ), element( skol1( X, Z ), the_carrier( X ) )
% 12.78/13.15 }.
% 12.78/13.15 parent0: (28098) {G0,W11,D3,L3,V3,M3} { ! rel_str( X ), !
% 12.78/13.15 ex_sup_of_relstr_set( X, Y ), element( skol1( X, Z ), the_carrier( X ) )
% 12.78/13.15 }.
% 12.78/13.15 substitution0:
% 12.78/13.15 X := X
% 12.78/13.15 Y := Y
% 12.78/13.15 Z := Z
% 12.78/13.15 end
% 12.78/13.15 permutation0:
% 12.78/13.15 0 ==> 0
% 12.78/13.15 1 ==> 1
% 12.78/13.15 2 ==> 2
% 12.78/13.15 end
% 12.78/13.15
% 12.78/13.15 subsumption: (1) {G0,W11,D3,L3,V2,M3} I { ! rel_str( X ), !
% 12.78/13.15 ex_sup_of_relstr_set( X, Y ), alpha1( X, Y, skol1( X, Y ) ) }.
% 12.78/13.15 parent0: (28099) {G0,W11,D3,L3,V2,M3} { ! rel_str( X ), !
% 12.78/13.15 ex_sup_of_relstr_set( X, Y ), alpha1( X, Y, skol1( X, Y ) ) }.
% 12.78/13.15 substitution0:
% 12.78/13.15 X := X
% 12.78/13.15 Y := Y
% 12.78/13.15 end
% 12.78/13.15 permutation0:
% 12.78/13.15 0 ==> 0
% 12.78/13.15 1 ==> 1
% 12.78/13.15 2 ==> 2
% 12.78/13.15 end
% 12.78/13.15
% 12.78/13.15 subsumption: (2) {G0,W13,D3,L4,V3,M4} I { ! rel_str( X ), ! element( Z,
% 12.78/13.15 the_carrier( X ) ), ! alpha1( X, Y, Z ), ex_sup_of_relstr_set( X, Y ) }.
% 12.78/13.15 parent0: (28100) {G0,W13,D3,L4,V3,M4} { ! rel_str( X ), ! element( Z,
% 12.78/13.15 the_carrier( X ) ), ! alpha1( X, Y, Z ), ex_sup_of_relstr_set( X, Y ) }.
% 12.78/13.15 substitution0:
% 12.78/13.15 X := X
% 12.78/13.15 Y := Y
% 12.78/13.15 Z := Z
% 12.78/13.15 end
% 12.78/13.15 permutation0:
% 12.78/13.15 0 ==> 0
% 12.78/13.15 1 ==> 1
% 12.78/13.15 2 ==> 2
% 12.78/13.15 3 ==> 3
% 12.78/13.15 end
% 12.78/13.15
% 12.78/13.15 subsumption: (3) {G0,W8,D2,L2,V3,M2} I { ! alpha1( X, Y, Z ),
% 12.78/13.15 relstr_set_smaller( X, Y, Z ) }.
% 12.78/13.15 parent0: (28101) {G0,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ),
% 12.78/13.15 relstr_set_smaller( X, Y, Z ) }.
% 12.78/13.15 substitution0:
% 12.78/13.15 X := X
% 12.78/13.15 Y := Y
% 12.78/13.15 Z := Z
% 12.78/13.15 end
% 12.78/13.15 permutation0:
% 12.78/13.15 0 ==> 0
% 12.78/13.15 1 ==> 1
% 12.78/13.15 end
% 12.78/13.15
% 12.78/13.15 subsumption: (4) {G0,W8,D2,L2,V3,M2} I { ! alpha1( X, Y, Z ), alpha3( X, Y
% 12.78/13.15 , Z ) }.
% 12.78/13.15 parent0: (28102) {G0,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), alpha3( X, Y,
% 12.78/13.15 Z ) }.
% 12.78/13.15 substitution0:
% 12.78/13.15 X := X
% 12.78/13.15 Y := Y
% 12.78/13.15 Z := Z
% 12.78/13.15 end
% 12.78/13.15 permutation0:
% 12.78/13.15 0 ==> 0
% 12.78/13.15 1 ==> 1
% 12.78/13.15 end
% 12.78/13.15
% 12.78/13.15 subsumption: (5) {G0,W12,D2,L3,V3,M3} I { ! relstr_set_smaller( X, Y, Z ),
% 12.78/13.15 ! alpha3( X, Y, Z ), alpha1( X, Y, Z ) }.
% 12.78/13.15 parent0: (28103) {G0,W12,D2,L3,V3,M3} { ! relstr_set_smaller( X, Y, Z ), !
% 12.78/13.15 alpha3( X, Y, Z ), alpha1( X, Y, Z ) }.
% 12.78/13.15 substitution0:
% 12.78/13.15 X := X
% 12.78/13.15 Y := Y
% 12.78/13.15 Z := Z
% 12.78/13.15 end
% 12.78/13.15 permutation0:
% 12.78/13.15 0 ==> 0
% 12.78/13.15 1 ==> 1
% 12.78/13.15 2 ==> 2
% 12.78/13.15 end
% 12.78/13.15
% 12.78/13.15 subsumption: (6) {G0,W8,D2,L2,V3,M2} I { ! alpha3( X, Y, Z ), alpha5( X, Y
% 12.78/13.15 , Z ) }.
% 12.78/13.15 parent0: (28104) {G0,W8,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), alpha5( X, Y,
% 12.78/13.15 Z ) }.
% 12.78/13.15 substitution0:
% 12.78/13.15 X := X
% 12.78/13.15 Y := Y
% 12.78/13.15 Z := Z
% 12.78/13.15 end
% 12.78/13.15 permutation0:
% 12.78/13.15 0 ==> 0
% 12.78/13.15 1 ==> 1
% 12.78/13.15 end
% 12.78/13.15
% 12.78/13.15 subsumption: (7) {G0,W8,D2,L2,V3,M2} I { ! alpha3( X, Y, Z ), alpha7( X, Y
% 12.78/13.15 , Z ) }.
% 12.78/13.15 parent0: (28105) {G0,W8,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), alpha7( X, Y,
% 12.78/13.15 Z ) }.
% 12.78/13.15 substitution0:
% 12.78/13.15 X := X
% 12.78/13.15 Y := Y
% 12.78/13.15 Z := Z
% 12.78/13.15 end
% 12.78/13.15 permutation0:
% 12.78/13.15 0 ==> 0
% 12.78/13.15 1 ==> 1
% 12.78/13.15 end
% 12.78/13.15
% 12.78/13.15 subsumption: (8) {G0,W12,D2,L3,V3,M3} I { ! alpha5( X, Y, Z ), ! alpha7( X
% 12.78/13.15 , Y, Z ), alpha3( X, Y, Z ) }.
% 12.78/13.15 parent0: (28106) {G0,W12,D2,L3,V3,M3} { ! alpha5( X, Y, Z ), ! alpha7( X,
% 12.78/13.15 Y, Z ), alpha3( X, Y, Z ) }.
% 12.78/13.15 substitution0:
% 12.78/13.15 X := X
% 12.78/13.15 Y := Y
% 12.78/13.15 Z := Z
% 12.78/13.15 end
% 12.78/13.15 permutation0:
% 12.78/13.15 0 ==> 0
% 12.78/13.15 1 ==> 1
% 12.78/13.15 2 ==> 2
% 12.78/13.15 end
% 12.78/13.15
% 12.78/13.15 subsumption: (9) {G0,W13,D3,L3,V4,M3} I { ! alpha7( X, Y, Z ), ! element( T
% 12.78/13.15 , the_carrier( X ) ), alpha10( X, Y, Z, T ) }.
% 12.78/13.15 parent0: (28107) {G0,W13,D3,L3,V4,M3} { ! alpha7( X, Y, Z ), ! element( T
% 12.78/13.15 , the_carrier( X ) ), alpha10( X, Y, Z, T ) }.
% 12.78/13.15 substitution0:
% 12.78/13.15 X := X
% 12.78/13.15 Y := Y
% 12.78/13.15 Z := Z
% 12.78/13.15 T := T
% 12.78/13.15 end
% 12.78/13.15 permutation0:
% 12.78/13.15 0 ==> 0
% 12.78/13.15 1 ==> 1
% 12.78/13.15 2 ==> 2
% 12.78/13.15 end
% 12.78/13.15
% 12.78/13.15 subsumption: (10) {G0,W11,D3,L2,V5,M2} I { element( skol2( X, T, U ),
% 12.78/13.15 the_carrier( X ) ), alpha7( X, Y, Z ) }.
% 12.78/13.15 parent0: (28108) {G0,W11,D3,L2,V5,M2} { element( skol2( X, T, U ),
% 12.78/13.15 the_carrier( X ) ), alpha7( X, Y, Z ) }.
% 12.78/13.15 substitution0:
% 12.78/13.15 X := X
% 12.78/13.15 Y := Y
% 12.78/13.15 Z := Z
% 12.78/13.15 T := T
% 12.78/13.15 U := U
% 12.78/13.15 end
% 12.78/13.15 permutation0:
% 12.78/13.15 0 ==> 0
% 12.78/13.15 1 ==> 1
% 12.78/13.15 end
% 12.78/13.15
% 12.78/13.15 subsumption: (11) {G0,W12,D3,L2,V3,M2} I { ! alpha10( X, Y, Z, skol2( X, Y
% 12.78/13.15 , Z ) ), alpha7( X, Y, Z ) }.
% 12.78/13.15 parent0: (28109) {G0,W12,D3,L2,V3,M2} { ! alpha10( X, Y, Z, skol2( X, Y, Z
% 12.78/13.15 ) ), alpha7( X, Y, Z ) }.
% 12.78/13.15 substitution0:
% 12.78/13.15 X := X
% 12.78/13.15 Y := Y
% 12.78/13.15 Z := Z
% 12.78/13.15 end
% 12.78/13.15 permutation0:
% 12.78/13.15 0 ==> 0
% 12.78/13.15 1 ==> 1
% 12.78/13.15 end
% 12.78/13.15
% 12.78/13.15 subsumption: (12) {G0,W12,D2,L3,V4,M3} I { ! alpha10( X, Y, Z, T ), !
% 12.78/13.15 alpha9( X, Y, T ), T = Z }.
% 12.78/13.15 parent0: (28110) {G0,W12,D2,L3,V4,M3} { ! alpha10( X, Y, Z, T ), ! alpha9
% 12.78/13.15 ( X, Y, T ), T = Z }.
% 12.78/13.15 substitution0:
% 12.78/13.15 X := X
% 12.78/13.15 Y := Y
% 12.78/13.15 Z := Z
% 12.78/13.15 T := T
% 12.78/13.15 end
% 12.78/13.15 permutation0:
% 12.78/13.15 0 ==> 0
% 12.78/13.15 1 ==> 1
% 12.78/13.15 2 ==> 2
% 12.78/13.15 end
% 12.78/13.15
% 12.78/13.15 subsumption: (13) {G0,W9,D2,L2,V4,M2} I { alpha9( X, Y, T ), alpha10( X, Y
% 12.78/13.15 , Z, T ) }.
% 12.78/13.15 parent0: (28111) {G0,W9,D2,L2,V4,M2} { alpha9( X, Y, T ), alpha10( X, Y, Z
% 12.78/13.15 , T ) }.
% 12.78/13.15 substitution0:
% 12.78/13.15 X := X
% 12.78/13.15 Y := Y
% 12.78/13.15 Z := Z
% 12.78/13.15 T := T
% 12.78/13.15 end
% 12.78/13.15 permutation0:
% 12.78/13.15 0 ==> 0
% 12.78/13.15 1 ==> 1
% 12.78/13.15 end
% 12.78/13.15
% 12.78/13.15 subsumption: (14) {G0,W8,D2,L2,V4,M2} I { ! T = Z, alpha10( X, Y, Z, T )
% 12.78/13.15 }.
% 12.78/13.15 parent0: (28112) {G0,W8,D2,L2,V4,M2} { ! T = Z, alpha10( X, Y, Z, T ) }.
% 12.78/13.15 substitution0:
% 12.78/13.15 X := X
% 12.78/13.15 Y := Y
% 12.78/13.15 Z := Z
% 12.78/13.15 T := T
% 12.78/13.15 end
% 12.78/13.15 permutation0:
% 12.78/13.15 0 ==> 0
% 12.78/13.15 1 ==> 1
% 12.78/13.15 end
% 12.78/13.15
% 12.78/13.15 subsumption: (15) {G0,W8,D2,L2,V3,M2} I { ! alpha9( X, Y, Z ),
% 12.78/13.15 relstr_set_smaller( X, Y, Z ) }.
% 12.78/13.15 parent0: (28113) {G0,W8,D2,L2,V3,M2} { ! alpha9( X, Y, Z ),
% 12.78/13.15 relstr_set_smaller( X, Y, Z ) }.
% 12.78/13.15 substitution0:
% 12.78/13.15 X := X
% 12.78/13.15 Y := Y
% 12.78/13.15 Z := Z
% 12.78/13.15 end
% 12.78/13.15 permutation0:
% 12.78/13.15 0 ==> 0
% 12.78/13.15 1 ==> 1
% 12.78/13.15 end
% 12.78/13.15
% 12.78/13.15 subsumption: (16) {G0,W8,D2,L2,V3,M2} I { ! alpha9( X, Y, Z ), alpha11( X,
% 12.78/13.15 Y, Z ) }.
% 12.78/13.15 parent0: (28114) {G0,W8,D2,L2,V3,M2} { ! alpha9( X, Y, Z ), alpha11( X, Y
% 12.78/13.15 , Z ) }.
% 12.78/13.15 substitution0:
% 12.78/13.15 X := X
% 12.78/13.15 Y := Y
% 12.78/13.15 Z := Z
% 12.78/13.15 end
% 12.78/13.15 permutation0:
% 12.78/13.15 0 ==> 0
% 12.78/13.15 1 ==> 1
% 12.78/13.15 end
% 12.78/13.15
% 12.78/13.15 subsumption: (17) {G0,W12,D2,L3,V3,M3} I { ! relstr_set_smaller( X, Y, Z )
% 12.78/13.15 , ! alpha11( X, Y, Z ), alpha9( X, Y, Z ) }.
% 12.78/13.15 parent0: (28115) {G0,W12,D2,L3,V3,M3} { ! relstr_set_smaller( X, Y, Z ), !
% 12.78/13.16 alpha11( X, Y, Z ), alpha9( X, Y, Z ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 2 ==> 2
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (18) {G0,W13,D3,L3,V4,M3} I { ! alpha11( X, Y, Z ), ! element
% 12.78/13.16 ( T, the_carrier( X ) ), alpha12( X, Y, Z, T ) }.
% 12.78/13.16 parent0: (28116) {G0,W13,D3,L3,V4,M3} { ! alpha11( X, Y, Z ), ! element( T
% 12.78/13.16 , the_carrier( X ) ), alpha12( X, Y, Z, T ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 T := T
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 2 ==> 2
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (19) {G0,W11,D3,L2,V5,M2} I { element( skol3( X, T, U ),
% 12.78/13.16 the_carrier( X ) ), alpha11( X, Y, Z ) }.
% 12.78/13.16 parent0: (28117) {G0,W11,D3,L2,V5,M2} { element( skol3( X, T, U ),
% 12.78/13.16 the_carrier( X ) ), alpha11( X, Y, Z ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 T := T
% 12.78/13.16 U := U
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (20) {G0,W12,D3,L2,V3,M2} I { ! alpha12( X, Y, Z, skol3( X, Y
% 12.78/13.16 , Z ) ), alpha11( X, Y, Z ) }.
% 12.78/13.16 parent0: (28118) {G0,W12,D3,L2,V3,M2} { ! alpha12( X, Y, Z, skol3( X, Y, Z
% 12.78/13.16 ) ), alpha11( X, Y, Z ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (21) {G0,W13,D2,L3,V4,M3} I { ! alpha12( X, Y, Z, T ), !
% 12.78/13.16 relstr_set_smaller( X, Y, T ), related( X, Z, T ) }.
% 12.78/13.16 parent0: (28119) {G0,W13,D2,L3,V4,M3} { ! alpha12( X, Y, Z, T ), !
% 12.78/13.16 relstr_set_smaller( X, Y, T ), related( X, Z, T ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 T := T
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 2 ==> 2
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (22) {G0,W9,D2,L2,V4,M2} I { relstr_set_smaller( X, Y, T ),
% 12.78/13.16 alpha12( X, Y, Z, T ) }.
% 12.78/13.16 parent0: (28120) {G0,W9,D2,L2,V4,M2} { relstr_set_smaller( X, Y, T ),
% 12.78/13.16 alpha12( X, Y, Z, T ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 T := T
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (23) {G0,W9,D2,L2,V4,M2} I { ! related( X, Z, T ), alpha12( X
% 12.78/13.16 , Y, Z, T ) }.
% 12.78/13.16 parent0: (28121) {G0,W9,D2,L2,V4,M2} { ! related( X, Z, T ), alpha12( X, Y
% 12.78/13.16 , Z, T ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 T := T
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (24) {G0,W13,D3,L3,V4,M3} I { ! alpha5( X, Y, Z ), ! element(
% 12.78/13.16 T, the_carrier( X ) ), alpha8( X, Y, Z, T ) }.
% 12.78/13.16 parent0: (28122) {G0,W13,D3,L3,V4,M3} { ! alpha5( X, Y, Z ), ! element( T
% 12.78/13.16 , the_carrier( X ) ), alpha8( X, Y, Z, T ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 T := T
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 2 ==> 2
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (25) {G0,W11,D3,L2,V5,M2} I { element( skol4( X, T, U ),
% 12.78/13.16 the_carrier( X ) ), alpha5( X, Y, Z ) }.
% 12.78/13.16 parent0: (28123) {G0,W11,D3,L2,V5,M2} { element( skol4( X, T, U ),
% 12.78/13.16 the_carrier( X ) ), alpha5( X, Y, Z ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 T := T
% 12.78/13.16 U := U
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (26) {G0,W12,D3,L2,V3,M2} I { ! alpha8( X, Y, Z, skol4( X, Y,
% 12.78/13.16 Z ) ), alpha5( X, Y, Z ) }.
% 12.78/13.16 parent0: (28124) {G0,W12,D3,L2,V3,M2} { ! alpha8( X, Y, Z, skol4( X, Y, Z
% 12.78/13.16 ) ), alpha5( X, Y, Z ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (27) {G0,W13,D2,L3,V4,M3} I { ! alpha8( X, Y, Z, T ), !
% 12.78/13.16 relstr_set_smaller( X, Y, T ), related( X, Z, T ) }.
% 12.78/13.16 parent0: (28125) {G0,W13,D2,L3,V4,M3} { ! alpha8( X, Y, Z, T ), !
% 12.78/13.16 relstr_set_smaller( X, Y, T ), related( X, Z, T ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 T := T
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 2 ==> 2
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (28) {G0,W9,D2,L2,V4,M2} I { relstr_set_smaller( X, Y, T ),
% 12.78/13.16 alpha8( X, Y, Z, T ) }.
% 12.78/13.16 parent0: (28126) {G0,W9,D2,L2,V4,M2} { relstr_set_smaller( X, Y, T ),
% 12.78/13.16 alpha8( X, Y, Z, T ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 T := T
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (29) {G0,W9,D2,L2,V4,M2} I { ! related( X, Z, T ), alpha8( X,
% 12.78/13.16 Y, Z, T ) }.
% 12.78/13.16 parent0: (28127) {G0,W9,D2,L2,V4,M2} { ! related( X, Z, T ), alpha8( X, Y
% 12.78/13.16 , Z, T ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 T := T
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (35) {G0,W2,D2,L1,V0,M1} I { antisymmetric_relstr( skol8 ) }.
% 12.78/13.16 parent0: (28135) {G0,W2,D2,L1,V0,M1} { antisymmetric_relstr( skol8 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (36) {G0,W2,D2,L1,V0,M1} I { rel_str( skol8 ) }.
% 12.78/13.16 parent0: (28136) {G0,W2,D2,L1,V0,M1} { rel_str( skol8 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (37) {G0,W7,D3,L2,V0,M2} I { alpha13( skol8, skol11 ), element
% 12.78/13.16 ( skol12, the_carrier( skol8 ) ) }.
% 12.78/13.16 parent0: (28137) {G0,W7,D3,L2,V0,M2} { alpha13( skol8, skol11 ), element(
% 12.78/13.16 skol12, the_carrier( skol8 ) ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (38) {G0,W7,D2,L2,V0,M2} I { alpha13( skol8, skol11 ), alpha2
% 12.78/13.16 ( skol8, skol11, skol12 ) }.
% 12.78/13.16 parent0: (28138) {G0,W7,D2,L2,V0,M2} { alpha13( skol8, skol11 ), alpha2(
% 12.78/13.16 skol8, skol11, skol12 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (39) {G0,W6,D2,L2,V0,M2} I { alpha13( skol8, skol11 ), !
% 12.78/13.16 ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.16 parent0: (28139) {G0,W6,D2,L2,V0,M2} { alpha13( skol8, skol11 ), !
% 12.78/13.16 ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (40) {G0,W6,D2,L2,V2,M2} I { ! alpha13( X, Y ),
% 12.78/13.16 ex_sup_of_relstr_set( X, Y ) }.
% 12.78/13.16 parent0: (28140) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ),
% 12.78/13.16 ex_sup_of_relstr_set( X, Y ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (41) {G0,W11,D3,L3,V3,M3} I { ! alpha13( X, Y ), ! element( Z
% 12.78/13.16 , the_carrier( X ) ), ! alpha2( X, Y, Z ) }.
% 12.78/13.16 parent0: (28141) {G0,W11,D3,L3,V3,M3} { ! alpha13( X, Y ), ! element( Z,
% 12.78/13.16 the_carrier( X ) ), ! alpha2( X, Y, Z ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 2 ==> 2
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (44) {G0,W8,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ),
% 12.78/13.16 relstr_set_smaller( X, Y, Z ) }.
% 12.78/13.16 parent0: (28144) {G0,W8,D2,L2,V3,M2} { ! alpha2( X, Y, Z ),
% 12.78/13.16 relstr_set_smaller( X, Y, Z ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (45) {G0,W8,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), alpha4( X, Y
% 12.78/13.16 , Z ) }.
% 12.78/13.16 parent0: (28145) {G0,W8,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha4( X, Y,
% 12.78/13.16 Z ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (46) {G0,W12,D2,L3,V3,M3} I { ! relstr_set_smaller( X, Y, Z )
% 12.78/13.16 , ! alpha4( X, Y, Z ), alpha2( X, Y, Z ) }.
% 12.78/13.16 parent0: (28146) {G0,W12,D2,L3,V3,M3} { ! relstr_set_smaller( X, Y, Z ), !
% 12.78/13.16 alpha4( X, Y, Z ), alpha2( X, Y, Z ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 2 ==> 2
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (47) {G0,W13,D3,L3,V4,M3} I { ! alpha4( X, Y, Z ), ! element(
% 12.78/13.16 T, the_carrier( X ) ), alpha6( X, Y, Z, T ) }.
% 12.78/13.16 parent0: (28147) {G0,W13,D3,L3,V4,M3} { ! alpha4( X, Y, Z ), ! element( T
% 12.78/13.16 , the_carrier( X ) ), alpha6( X, Y, Z, T ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 T := T
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 2 ==> 2
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (48) {G0,W11,D3,L2,V5,M2} I { element( skol10( X, T, U ),
% 12.78/13.16 the_carrier( X ) ), alpha4( X, Y, Z ) }.
% 12.78/13.16 parent0: (28148) {G0,W11,D3,L2,V5,M2} { element( skol10( X, T, U ),
% 12.78/13.16 the_carrier( X ) ), alpha4( X, Y, Z ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 T := T
% 12.78/13.16 U := U
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (49) {G0,W12,D3,L2,V3,M2} I { ! alpha6( X, Y, Z, skol10( X, Y
% 12.78/13.16 , Z ) ), alpha4( X, Y, Z ) }.
% 12.78/13.16 parent0: (28149) {G0,W12,D3,L2,V3,M2} { ! alpha6( X, Y, Z, skol10( X, Y, Z
% 12.78/13.16 ) ), alpha4( X, Y, Z ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (50) {G0,W13,D2,L3,V4,M3} I { ! alpha6( X, Y, Z, T ), !
% 12.78/13.16 relstr_set_smaller( X, Y, T ), related( X, Z, T ) }.
% 12.78/13.16 parent0: (28150) {G0,W13,D2,L3,V4,M3} { ! alpha6( X, Y, Z, T ), !
% 12.78/13.16 relstr_set_smaller( X, Y, T ), related( X, Z, T ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 T := T
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 2 ==> 2
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (51) {G0,W9,D2,L2,V4,M2} I { relstr_set_smaller( X, Y, T ),
% 12.78/13.16 alpha6( X, Y, Z, T ) }.
% 12.78/13.16 parent0: (28151) {G0,W9,D2,L2,V4,M2} { relstr_set_smaller( X, Y, T ),
% 12.78/13.16 alpha6( X, Y, Z, T ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 T := T
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (52) {G0,W9,D2,L2,V4,M2} I { ! related( X, Z, T ), alpha6( X,
% 12.78/13.16 Y, Z, T ) }.
% 12.78/13.16 parent0: (28152) {G0,W9,D2,L2,V4,M2} { ! related( X, Z, T ), alpha6( X, Y
% 12.78/13.16 , Z, T ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 T := T
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (53) {G0,W23,D3,L7,V3,M7} I { ! antisymmetric_relstr( X ), !
% 12.78/13.16 rel_str( X ), ! element( Y, the_carrier( X ) ), ! element( Z, the_carrier
% 12.78/13.16 ( X ) ), ! related( X, Y, Z ), ! related( X, Z, Y ), Y = Z }.
% 12.78/13.16 parent0: (28153) {G0,W23,D3,L7,V3,M7} { ! antisymmetric_relstr( X ), !
% 12.78/13.16 rel_str( X ), ! element( Y, the_carrier( X ) ), ! element( Z, the_carrier
% 12.78/13.16 ( X ) ), ! related( X, Y, Z ), ! related( X, Z, Y ), Y = Z }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 2 ==> 2
% 12.78/13.16 3 ==> 3
% 12.78/13.16 4 ==> 4
% 12.78/13.16 5 ==> 5
% 12.78/13.16 6 ==> 6
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28224) {G1,W9,D3,L2,V2,M2} { ! ex_sup_of_relstr_set( skol8, X
% 12.78/13.16 ), element( skol1( skol8, Y ), the_carrier( skol8 ) ) }.
% 12.78/13.16 parent0[0]: (0) {G0,W11,D3,L3,V3,M3} I { ! rel_str( X ), !
% 12.78/13.16 ex_sup_of_relstr_set( X, Y ), element( skol1( X, Z ), the_carrier( X ) )
% 12.78/13.16 }.
% 12.78/13.16 parent1[0]: (36) {G0,W2,D2,L1,V0,M1} I { rel_str( skol8 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := skol8
% 12.78/13.16 Y := X
% 12.78/13.16 Z := Y
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (56) {G1,W9,D3,L2,V2,M2} R(0,36) { ! ex_sup_of_relstr_set(
% 12.78/13.16 skol8, X ), element( skol1( skol8, Y ), the_carrier( skol8 ) ) }.
% 12.78/13.16 parent0: (28224) {G1,W9,D3,L2,V2,M2} { ! ex_sup_of_relstr_set( skol8, X )
% 12.78/13.16 , element( skol1( skol8, Y ), the_carrier( skol8 ) ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28225) {G1,W9,D3,L2,V1,M2} { ! ex_sup_of_relstr_set( skol8, X
% 12.78/13.16 ), alpha1( skol8, X, skol1( skol8, X ) ) }.
% 12.78/13.16 parent0[0]: (1) {G0,W11,D3,L3,V2,M3} I { ! rel_str( X ), !
% 12.78/13.16 ex_sup_of_relstr_set( X, Y ), alpha1( X, Y, skol1( X, Y ) ) }.
% 12.78/13.16 parent1[0]: (36) {G0,W2,D2,L1,V0,M1} I { rel_str( skol8 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := skol8
% 12.78/13.16 Y := X
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (60) {G1,W9,D3,L2,V1,M2} R(1,36) { ! ex_sup_of_relstr_set(
% 12.78/13.16 skol8, X ), alpha1( skol8, X, skol1( skol8, X ) ) }.
% 12.78/13.16 parent0: (28225) {G1,W9,D3,L2,V1,M2} { ! ex_sup_of_relstr_set( skol8, X )
% 12.78/13.16 , alpha1( skol8, X, skol1( skol8, X ) ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28226) {G1,W7,D2,L2,V0,M2} { ex_sup_of_relstr_set( skol8,
% 12.78/13.16 skol11 ), alpha2( skol8, skol11, skol12 ) }.
% 12.78/13.16 parent0[0]: (40) {G0,W6,D2,L2,V2,M2} I { ! alpha13( X, Y ),
% 12.78/13.16 ex_sup_of_relstr_set( X, Y ) }.
% 12.78/13.16 parent1[0]: (38) {G0,W7,D2,L2,V0,M2} I { alpha13( skol8, skol11 ), alpha2(
% 12.78/13.16 skol8, skol11, skol12 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := skol8
% 12.78/13.16 Y := skol11
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (63) {G1,W7,D2,L2,V0,M2} R(38,40) { alpha2( skol8, skol11,
% 12.78/13.16 skol12 ), ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.16 parent0: (28226) {G1,W7,D2,L2,V0,M2} { ex_sup_of_relstr_set( skol8, skol11
% 12.78/13.16 ), alpha2( skol8, skol11, skol12 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 1
% 12.78/13.16 1 ==> 0
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28227) {G1,W13,D3,L4,V1,M4} { alpha13( skol8, skol11 ), !
% 12.78/13.16 rel_str( skol8 ), ! element( X, the_carrier( skol8 ) ), ! alpha1( skol8,
% 12.78/13.16 skol11, X ) }.
% 12.78/13.16 parent0[1]: (39) {G0,W6,D2,L2,V0,M2} I { alpha13( skol8, skol11 ), !
% 12.78/13.16 ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.16 parent1[3]: (2) {G0,W13,D3,L4,V3,M4} I { ! rel_str( X ), ! element( Z,
% 12.78/13.16 the_carrier( X ) ), ! alpha1( X, Y, Z ), ex_sup_of_relstr_set( X, Y ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 X := skol8
% 12.78/13.16 Y := skol11
% 12.78/13.16 Z := X
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28228) {G1,W11,D3,L3,V1,M3} { alpha13( skol8, skol11 ), !
% 12.78/13.16 element( X, the_carrier( skol8 ) ), ! alpha1( skol8, skol11, X ) }.
% 12.78/13.16 parent0[1]: (28227) {G1,W13,D3,L4,V1,M4} { alpha13( skol8, skol11 ), !
% 12.78/13.16 rel_str( skol8 ), ! element( X, the_carrier( skol8 ) ), ! alpha1( skol8,
% 12.78/13.16 skol11, X ) }.
% 12.78/13.16 parent1[0]: (36) {G0,W2,D2,L1,V0,M1} I { rel_str( skol8 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (64) {G1,W11,D3,L3,V1,M3} R(2,39);r(36) { ! element( X,
% 12.78/13.16 the_carrier( skol8 ) ), ! alpha1( skol8, skol11, X ), alpha13( skol8,
% 12.78/13.16 skol11 ) }.
% 12.78/13.16 parent0: (28228) {G1,W11,D3,L3,V1,M3} { alpha13( skol8, skol11 ), !
% 12.78/13.16 element( X, the_carrier( skol8 ) ), ! alpha1( skol8, skol11, X ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 2
% 12.78/13.16 1 ==> 0
% 12.78/13.16 2 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28229) {G1,W7,D3,L2,V0,M2} { ex_sup_of_relstr_set( skol8,
% 12.78/13.16 skol11 ), element( skol12, the_carrier( skol8 ) ) }.
% 12.78/13.16 parent0[0]: (40) {G0,W6,D2,L2,V2,M2} I { ! alpha13( X, Y ),
% 12.78/13.16 ex_sup_of_relstr_set( X, Y ) }.
% 12.78/13.16 parent1[0]: (37) {G0,W7,D3,L2,V0,M2} I { alpha13( skol8, skol11 ), element
% 12.78/13.16 ( skol12, the_carrier( skol8 ) ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := skol8
% 12.78/13.16 Y := skol11
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (74) {G1,W7,D3,L2,V0,M2} R(37,40) { element( skol12,
% 12.78/13.16 the_carrier( skol8 ) ), ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.16 parent0: (28229) {G1,W7,D3,L2,V0,M2} { ex_sup_of_relstr_set( skol8, skol11
% 12.78/13.16 ), element( skol12, the_carrier( skol8 ) ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 1
% 12.78/13.16 1 ==> 0
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28230) {G1,W12,D2,L4,V1,M4} { ! rel_str( skol8 ), ! alpha1(
% 12.78/13.16 skol8, X, skol12 ), ex_sup_of_relstr_set( skol8, X ),
% 12.78/13.16 ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.16 parent0[1]: (2) {G0,W13,D3,L4,V3,M4} I { ! rel_str( X ), ! element( Z,
% 12.78/13.16 the_carrier( X ) ), ! alpha1( X, Y, Z ), ex_sup_of_relstr_set( X, Y ) }.
% 12.78/13.16 parent1[0]: (74) {G1,W7,D3,L2,V0,M2} R(37,40) { element( skol12,
% 12.78/13.16 the_carrier( skol8 ) ), ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := skol8
% 12.78/13.16 Y := X
% 12.78/13.16 Z := skol12
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28233) {G1,W10,D2,L3,V1,M3} { ! alpha1( skol8, X, skol12 ),
% 12.78/13.16 ex_sup_of_relstr_set( skol8, X ), ex_sup_of_relstr_set( skol8, skol11 )
% 12.78/13.16 }.
% 12.78/13.16 parent0[0]: (28230) {G1,W12,D2,L4,V1,M4} { ! rel_str( skol8 ), ! alpha1(
% 12.78/13.16 skol8, X, skol12 ), ex_sup_of_relstr_set( skol8, X ),
% 12.78/13.16 ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.16 parent1[0]: (36) {G0,W2,D2,L1,V0,M1} I { rel_str( skol8 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (75) {G2,W10,D2,L3,V1,M3} R(74,2);r(36) { ex_sup_of_relstr_set
% 12.78/13.16 ( skol8, skol11 ), ! alpha1( skol8, X, skol12 ), ex_sup_of_relstr_set(
% 12.78/13.16 skol8, X ) }.
% 12.78/13.16 parent0: (28233) {G1,W10,D2,L3,V1,M3} { ! alpha1( skol8, X, skol12 ),
% 12.78/13.16 ex_sup_of_relstr_set( skol8, X ), ex_sup_of_relstr_set( skol8, skol11 )
% 12.78/13.16 }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 1
% 12.78/13.16 1 ==> 2
% 12.78/13.16 2 ==> 0
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 factor: (28235) {G2,W7,D2,L2,V0,M2} { ex_sup_of_relstr_set( skol8, skol11
% 12.78/13.16 ), ! alpha1( skol8, skol11, skol12 ) }.
% 12.78/13.16 parent0[0, 2]: (75) {G2,W10,D2,L3,V1,M3} R(74,2);r(36) {
% 12.78/13.16 ex_sup_of_relstr_set( skol8, skol11 ), ! alpha1( skol8, X, skol12 ),
% 12.78/13.16 ex_sup_of_relstr_set( skol8, X ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := skol11
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (78) {G3,W7,D2,L2,V0,M2} F(75) { ex_sup_of_relstr_set( skol8,
% 12.78/13.16 skol11 ), ! alpha1( skol8, skol11, skol12 ) }.
% 12.78/13.16 parent0: (28235) {G2,W7,D2,L2,V0,M2} { ex_sup_of_relstr_set( skol8, skol11
% 12.78/13.16 ), ! alpha1( skol8, skol11, skol12 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28236) {G1,W7,D2,L2,V0,M2} { alpha13( skol8, skol11 ), !
% 12.78/13.16 alpha1( skol8, skol11, skol12 ) }.
% 12.78/13.16 parent0[1]: (39) {G0,W6,D2,L2,V0,M2} I { alpha13( skol8, skol11 ), !
% 12.78/13.16 ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.16 parent1[0]: (78) {G3,W7,D2,L2,V0,M2} F(75) { ex_sup_of_relstr_set( skol8,
% 12.78/13.16 skol11 ), ! alpha1( skol8, skol11, skol12 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (79) {G4,W7,D2,L2,V0,M2} R(78,39) { ! alpha1( skol8, skol11,
% 12.78/13.16 skol12 ), alpha13( skol8, skol11 ) }.
% 12.78/13.16 parent0: (28236) {G1,W7,D2,L2,V0,M2} { alpha13( skol8, skol11 ), ! alpha1
% 12.78/13.16 ( skol8, skol11, skol12 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 1
% 12.78/13.16 1 ==> 0
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28237) {G1,W7,D2,L2,V0,M2} { alpha4( skol8, skol11, skol12 )
% 12.78/13.16 , ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.16 parent0[0]: (45) {G0,W8,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), alpha4( X, Y
% 12.78/13.16 , Z ) }.
% 12.78/13.16 parent1[0]: (63) {G1,W7,D2,L2,V0,M2} R(38,40) { alpha2( skol8, skol11,
% 12.78/13.16 skol12 ), ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := skol8
% 12.78/13.16 Y := skol11
% 12.78/13.16 Z := skol12
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (83) {G2,W7,D2,L2,V0,M2} R(45,63) { alpha4( skol8, skol11,
% 12.78/13.16 skol12 ), ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.16 parent0: (28237) {G1,W7,D2,L2,V0,M2} { alpha4( skol8, skol11, skol12 ),
% 12.78/13.16 ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28238) {G1,W7,D2,L2,V0,M2} { relstr_set_smaller( skol8,
% 12.78/13.16 skol11, skol12 ), ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.16 parent0[0]: (44) {G0,W8,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ),
% 12.78/13.16 relstr_set_smaller( X, Y, Z ) }.
% 12.78/13.16 parent1[0]: (63) {G1,W7,D2,L2,V0,M2} R(38,40) { alpha2( skol8, skol11,
% 12.78/13.16 skol12 ), ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := skol8
% 12.78/13.16 Y := skol11
% 12.78/13.16 Z := skol12
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (88) {G2,W7,D2,L2,V0,M2} R(44,63) { relstr_set_smaller( skol8
% 12.78/13.16 , skol11, skol12 ), ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.16 parent0: (28238) {G1,W7,D2,L2,V0,M2} { relstr_set_smaller( skol8, skol11,
% 12.78/13.16 skol12 ), ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28239) {G1,W7,D2,L2,V0,M2} { relstr_set_smaller( skol8,
% 12.78/13.16 skol11, skol12 ), alpha13( skol8, skol11 ) }.
% 12.78/13.16 parent0[0]: (44) {G0,W8,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ),
% 12.78/13.16 relstr_set_smaller( X, Y, Z ) }.
% 12.78/13.16 parent1[1]: (38) {G0,W7,D2,L2,V0,M2} I { alpha13( skol8, skol11 ), alpha2(
% 12.78/13.16 skol8, skol11, skol12 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := skol8
% 12.78/13.16 Y := skol11
% 12.78/13.16 Z := skol12
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (89) {G1,W7,D2,L2,V0,M2} R(44,38) { relstr_set_smaller( skol8
% 12.78/13.16 , skol11, skol12 ), alpha13( skol8, skol11 ) }.
% 12.78/13.16 parent0: (28239) {G1,W7,D2,L2,V0,M2} { relstr_set_smaller( skol8, skol11,
% 12.78/13.16 skol12 ), alpha13( skol8, skol11 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28240) {G1,W12,D3,L3,V0,M3} { ! rel_str( skol8 ), alpha1(
% 12.78/13.16 skol8, skol11, skol1( skol8, skol11 ) ), relstr_set_smaller( skol8,
% 12.78/13.16 skol11, skol12 ) }.
% 12.78/13.16 parent0[1]: (1) {G0,W11,D3,L3,V2,M3} I { ! rel_str( X ), !
% 12.78/13.16 ex_sup_of_relstr_set( X, Y ), alpha1( X, Y, skol1( X, Y ) ) }.
% 12.78/13.16 parent1[1]: (88) {G2,W7,D2,L2,V0,M2} R(44,63) { relstr_set_smaller( skol8,
% 12.78/13.16 skol11, skol12 ), ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := skol8
% 12.78/13.16 Y := skol11
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28241) {G1,W10,D3,L2,V0,M2} { alpha1( skol8, skol11, skol1(
% 12.78/13.16 skol8, skol11 ) ), relstr_set_smaller( skol8, skol11, skol12 ) }.
% 12.78/13.16 parent0[0]: (28240) {G1,W12,D3,L3,V0,M3} { ! rel_str( skol8 ), alpha1(
% 12.78/13.16 skol8, skol11, skol1( skol8, skol11 ) ), relstr_set_smaller( skol8,
% 12.78/13.16 skol11, skol12 ) }.
% 12.78/13.16 parent1[0]: (36) {G0,W2,D2,L1,V0,M1} I { rel_str( skol8 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (90) {G3,W10,D3,L2,V0,M2} R(88,1);r(36) { relstr_set_smaller(
% 12.78/13.16 skol8, skol11, skol12 ), alpha1( skol8, skol11, skol1( skol8, skol11 ) )
% 12.78/13.16 }.
% 12.78/13.16 parent0: (28241) {G1,W10,D3,L2,V0,M2} { alpha1( skol8, skol11, skol1(
% 12.78/13.16 skol8, skol11 ) ), relstr_set_smaller( skol8, skol11, skol12 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 1
% 12.78/13.16 1 ==> 0
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28242) {G1,W11,D2,L3,V0,M3} { ! alpha3( skol8, skol11, skol12
% 12.78/13.16 ), alpha1( skol8, skol11, skol12 ), alpha13( skol8, skol11 ) }.
% 12.78/13.16 parent0[0]: (5) {G0,W12,D2,L3,V3,M3} I { ! relstr_set_smaller( X, Y, Z ), !
% 12.78/13.16 alpha3( X, Y, Z ), alpha1( X, Y, Z ) }.
% 12.78/13.16 parent1[0]: (89) {G1,W7,D2,L2,V0,M2} R(44,38) { relstr_set_smaller( skol8,
% 12.78/13.16 skol11, skol12 ), alpha13( skol8, skol11 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := skol8
% 12.78/13.16 Y := skol11
% 12.78/13.16 Z := skol12
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28243) {G2,W10,D2,L3,V0,M3} { alpha13( skol8, skol11 ), !
% 12.78/13.16 alpha3( skol8, skol11, skol12 ), alpha13( skol8, skol11 ) }.
% 12.78/13.16 parent0[0]: (79) {G4,W7,D2,L2,V0,M2} R(78,39) { ! alpha1( skol8, skol11,
% 12.78/13.16 skol12 ), alpha13( skol8, skol11 ) }.
% 12.78/13.16 parent1[1]: (28242) {G1,W11,D2,L3,V0,M3} { ! alpha3( skol8, skol11, skol12
% 12.78/13.16 ), alpha1( skol8, skol11, skol12 ), alpha13( skol8, skol11 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 factor: (28244) {G2,W7,D2,L2,V0,M2} { alpha13( skol8, skol11 ), ! alpha3(
% 12.78/13.16 skol8, skol11, skol12 ) }.
% 12.78/13.16 parent0[0, 2]: (28243) {G2,W10,D2,L3,V0,M3} { alpha13( skol8, skol11 ), !
% 12.78/13.16 alpha3( skol8, skol11, skol12 ), alpha13( skol8, skol11 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (92) {G5,W7,D2,L2,V0,M2} R(5,89);r(79) { ! alpha3( skol8,
% 12.78/13.16 skol11, skol12 ), alpha13( skol8, skol11 ) }.
% 12.78/13.16 parent0: (28244) {G2,W7,D2,L2,V0,M2} { alpha13( skol8, skol11 ), ! alpha3
% 12.78/13.16 ( skol8, skol11, skol12 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 1
% 12.78/13.16 1 ==> 0
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28245) {G1,W11,D2,L3,V0,M3} { ! alpha3( skol8, skol11, skol12
% 12.78/13.16 ), alpha1( skol8, skol11, skol12 ), ex_sup_of_relstr_set( skol8, skol11
% 12.78/13.16 ) }.
% 12.78/13.16 parent0[0]: (5) {G0,W12,D2,L3,V3,M3} I { ! relstr_set_smaller( X, Y, Z ), !
% 12.78/13.16 alpha3( X, Y, Z ), alpha1( X, Y, Z ) }.
% 12.78/13.16 parent1[0]: (88) {G2,W7,D2,L2,V0,M2} R(44,63) { relstr_set_smaller( skol8,
% 12.78/13.16 skol11, skol12 ), ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := skol8
% 12.78/13.16 Y := skol11
% 12.78/13.16 Z := skol12
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28246) {G2,W10,D2,L3,V0,M3} { ex_sup_of_relstr_set( skol8,
% 12.78/13.16 skol11 ), ! alpha3( skol8, skol11, skol12 ), ex_sup_of_relstr_set( skol8
% 12.78/13.16 , skol11 ) }.
% 12.78/13.16 parent0[1]: (78) {G3,W7,D2,L2,V0,M2} F(75) { ex_sup_of_relstr_set( skol8,
% 12.78/13.16 skol11 ), ! alpha1( skol8, skol11, skol12 ) }.
% 12.78/13.16 parent1[1]: (28245) {G1,W11,D2,L3,V0,M3} { ! alpha3( skol8, skol11, skol12
% 12.78/13.16 ), alpha1( skol8, skol11, skol12 ), ex_sup_of_relstr_set( skol8, skol11
% 12.78/13.16 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 factor: (28247) {G2,W7,D2,L2,V0,M2} { ex_sup_of_relstr_set( skol8, skol11
% 12.78/13.16 ), ! alpha3( skol8, skol11, skol12 ) }.
% 12.78/13.16 parent0[0, 2]: (28246) {G2,W10,D2,L3,V0,M3} { ex_sup_of_relstr_set( skol8
% 12.78/13.16 , skol11 ), ! alpha3( skol8, skol11, skol12 ), ex_sup_of_relstr_set(
% 12.78/13.16 skol8, skol11 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (93) {G4,W7,D2,L2,V0,M2} R(5,88);r(78) { ! alpha3( skol8,
% 12.78/13.16 skol11, skol12 ), ex_sup_of_relstr_set( skol8, skol11 ) }.
% 12.78/13.16 parent0: (28247) {G2,W7,D2,L2,V0,M2} { ex_sup_of_relstr_set( skol8, skol11
% 12.78/13.16 ), ! alpha3( skol8, skol11, skol12 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 1
% 12.78/13.16 1 ==> 0
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28248) {G1,W8,D2,L2,V3,M2} { alpha5( X, Y, Z ), ! alpha1( X,
% 12.78/13.16 Y, Z ) }.
% 12.78/13.16 parent0[0]: (6) {G0,W8,D2,L2,V3,M2} I { ! alpha3( X, Y, Z ), alpha5( X, Y,
% 12.78/13.16 Z ) }.
% 12.78/13.16 parent1[1]: (4) {G0,W8,D2,L2,V3,M2} I { ! alpha1( X, Y, Z ), alpha3( X, Y,
% 12.78/13.16 Z ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (99) {G1,W8,D2,L2,V3,M2} R(6,4) { alpha5( X, Y, Z ), ! alpha1
% 12.78/13.16 ( X, Y, Z ) }.
% 12.78/13.16 parent0: (28248) {G1,W8,D2,L2,V3,M2} { alpha5( X, Y, Z ), ! alpha1( X, Y,
% 12.78/13.16 Z ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28249) {G1,W8,D2,L2,V3,M2} { alpha7( X, Y, Z ), ! alpha1( X,
% 12.78/13.16 Y, Z ) }.
% 12.78/13.16 parent0[0]: (7) {G0,W8,D2,L2,V3,M2} I { ! alpha3( X, Y, Z ), alpha7( X, Y,
% 12.78/13.16 Z ) }.
% 12.78/13.16 parent1[1]: (4) {G0,W8,D2,L2,V3,M2} I { ! alpha1( X, Y, Z ), alpha3( X, Y,
% 12.78/13.16 Z ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (101) {G1,W8,D2,L2,V3,M2} R(7,4) { alpha7( X, Y, Z ), ! alpha1
% 12.78/13.16 ( X, Y, Z ) }.
% 12.78/13.16 parent0: (28249) {G1,W8,D2,L2,V3,M2} { alpha7( X, Y, Z ), ! alpha1( X, Y,
% 12.78/13.16 Z ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28250) {G1,W11,D2,L3,V0,M3} { alpha13( skol8, skol11 ), !
% 12.78/13.16 alpha5( skol8, skol11, skol12 ), ! alpha7( skol8, skol11, skol12 ) }.
% 12.78/13.16 parent0[0]: (92) {G5,W7,D2,L2,V0,M2} R(5,89);r(79) { ! alpha3( skol8,
% 12.78/13.16 skol11, skol12 ), alpha13( skol8, skol11 ) }.
% 12.78/13.16 parent1[2]: (8) {G0,W12,D2,L3,V3,M3} I { ! alpha5( X, Y, Z ), ! alpha7( X,
% 12.78/13.16 Y, Z ), alpha3( X, Y, Z ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 X := skol8
% 12.78/13.16 Y := skol11
% 12.78/13.16 Z := skol12
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (104) {G6,W11,D2,L3,V0,M3} R(8,92) { ! alpha5( skol8, skol11,
% 12.78/13.16 skol12 ), ! alpha7( skol8, skol11, skol12 ), alpha13( skol8, skol11 ) }.
% 12.78/13.16 parent0: (28250) {G1,W11,D2,L3,V0,M3} { alpha13( skol8, skol11 ), ! alpha5
% 12.78/13.16 ( skol8, skol11, skol12 ), ! alpha7( skol8, skol11, skol12 ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 2
% 12.78/13.16 1 ==> 0
% 12.78/13.16 2 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28251) {G1,W9,D2,L2,V4,M2} { alpha11( X, Y, Z ), alpha10( X,
% 12.78/13.16 Y, T, Z ) }.
% 12.78/13.16 parent0[0]: (16) {G0,W8,D2,L2,V3,M2} I { ! alpha9( X, Y, Z ), alpha11( X, Y
% 12.78/13.16 , Z ) }.
% 12.78/13.16 parent1[0]: (13) {G0,W9,D2,L2,V4,M2} I { alpha9( X, Y, T ), alpha10( X, Y,
% 12.78/13.16 Z, T ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := T
% 12.78/13.16 T := Z
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (116) {G1,W9,D2,L2,V4,M2} R(13,16) { alpha10( X, Y, Z, T ),
% 12.78/13.16 alpha11( X, Y, T ) }.
% 12.78/13.16 parent0: (28251) {G1,W9,D2,L2,V4,M2} { alpha11( X, Y, Z ), alpha10( X, Y,
% 12.78/13.16 T, Z ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := T
% 12.78/13.16 T := Z
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 1
% 12.78/13.16 1 ==> 0
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28252) {G1,W15,D3,L3,V5,M3} { ! alpha5( X, Y, Z ), alpha3( X
% 12.78/13.16 , Y, Z ), element( skol2( X, T, U ), the_carrier( X ) ) }.
% 12.78/13.16 parent0[1]: (8) {G0,W12,D2,L3,V3,M3} I { ! alpha5( X, Y, Z ), ! alpha7( X,
% 12.78/13.16 Y, Z ), alpha3( X, Y, Z ) }.
% 12.78/13.16 parent1[1]: (10) {G0,W11,D3,L2,V5,M2} I { element( skol2( X, T, U ),
% 12.78/13.16 the_carrier( X ) ), alpha7( X, Y, Z ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 T := T
% 12.78/13.16 U := U
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (120) {G1,W15,D3,L3,V5,M3} R(10,8) { element( skol2( X, Y, Z )
% 12.78/13.16 , the_carrier( X ) ), ! alpha5( X, T, U ), alpha3( X, T, U ) }.
% 12.78/13.16 parent0: (28252) {G1,W15,D3,L3,V5,M3} { ! alpha5( X, Y, Z ), alpha3( X, Y
% 12.78/13.16 , Z ), element( skol2( X, T, U ), the_carrier( X ) ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := T
% 12.78/13.16 Z := U
% 12.78/13.16 T := Y
% 12.78/13.16 U := Z
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 1
% 12.78/13.16 1 ==> 2
% 12.78/13.16 2 ==> 0
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28253) {G1,W9,D3,L2,V2,M2} { element( skol1( skol8, Y ),
% 12.78/13.16 the_carrier( skol8 ) ), ! alpha13( skol8, X ) }.
% 12.78/13.16 parent0[0]: (56) {G1,W9,D3,L2,V2,M2} R(0,36) { ! ex_sup_of_relstr_set(
% 12.78/13.16 skol8, X ), element( skol1( skol8, Y ), the_carrier( skol8 ) ) }.
% 12.78/13.16 parent1[1]: (40) {G0,W6,D2,L2,V2,M2} I { ! alpha13( X, Y ),
% 12.78/13.16 ex_sup_of_relstr_set( X, Y ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 X := skol8
% 12.78/13.16 Y := X
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (131) {G2,W9,D3,L2,V2,M2} R(56,40) { element( skol1( skol8, X
% 12.78/13.16 ), the_carrier( skol8 ) ), ! alpha13( skol8, Y ) }.
% 12.78/13.16 parent0: (28253) {G1,W9,D3,L2,V2,M2} { element( skol1( skol8, Y ),
% 12.78/13.16 the_carrier( skol8 ) ), ! alpha13( skol8, X ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := Y
% 12.78/13.16 Y := X
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28254) {G1,W11,D3,L2,V3,M2} { alpha7( X, Y, Z ), alpha9( X, Y
% 12.78/13.16 , skol2( X, Y, Z ) ) }.
% 12.78/13.16 parent0[0]: (11) {G0,W12,D3,L2,V3,M2} I { ! alpha10( X, Y, Z, skol2( X, Y,
% 12.78/13.16 Z ) ), alpha7( X, Y, Z ) }.
% 12.78/13.16 parent1[1]: (13) {G0,W9,D2,L2,V4,M2} I { alpha9( X, Y, T ), alpha10( X, Y,
% 12.78/13.16 Z, T ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 T := skol2( X, Y, Z )
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (136) {G1,W11,D3,L2,V3,M2} R(11,13) { alpha7( X, Y, Z ),
% 12.78/13.16 alpha9( X, Y, skol2( X, Y, Z ) ) }.
% 12.78/13.16 parent0: (28254) {G1,W11,D3,L2,V3,M2} { alpha7( X, Y, Z ), alpha9( X, Y,
% 12.78/13.16 skol2( X, Y, Z ) ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 end
% 12.78/13.16 permutation0:
% 12.78/13.16 0 ==> 0
% 12.78/13.16 1 ==> 1
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 eqswap: (28255) {G0,W8,D2,L2,V4,M2} { ! Y = X, alpha10( Z, T, Y, X ) }.
% 12.78/13.16 parent0[0]: (14) {G0,W8,D2,L2,V4,M2} I { ! T = Z, alpha10( X, Y, Z, T ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := Z
% 12.78/13.16 Y := T
% 12.78/13.16 Z := Y
% 12.78/13.16 T := X
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 resolution: (28256) {G1,W10,D3,L2,V3,M2} { alpha7( X, Y, Z ), ! Z = skol2
% 12.78/13.16 ( X, Y, Z ) }.
% 12.78/13.16 parent0[0]: (11) {G0,W12,D3,L2,V3,M2} I { ! alpha10( X, Y, Z, skol2( X, Y,
% 12.78/13.16 Z ) ), alpha7( X, Y, Z ) }.
% 12.78/13.16 parent1[1]: (28255) {G0,W8,D2,L2,V4,M2} { ! Y = X, alpha10( Z, T, Y, X )
% 12.78/13.16 }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := X
% 12.78/13.16 Y := Y
% 12.78/13.16 Z := Z
% 12.78/13.16 end
% 12.78/13.16 substitution1:
% 12.78/13.16 X := skol2( X, Y, Z )
% 12.78/13.16 Y := Z
% 12.78/13.16 Z := X
% 12.78/13.16 T := Y
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 eqswap: (28257) {G1,W10,D3,L2,V3,M2} { ! skol2( Y, Z, X ) = X, alpha7( Y,
% 12.78/13.16 Z, X ) }.
% 12.78/13.16 parent0[1]: (28256) {G1,W10,D3,L2,V3,M2} { alpha7( X, Y, Z ), ! Z = skol2
% 12.78/13.16 ( X, Y, Z ) }.
% 12.78/13.16 substitution0:
% 12.78/13.16 X := Y
% 12.78/13.16 Y := Z
% 12.78/13.16 Z := X
% 12.78/13.16 end
% 12.78/13.16
% 12.78/13.16 subsumption: (139) {G1,W10,D3,L2,V3,M2} R(11,14) { alpha7( X, Y, Z ), !
% 12.78/13.16 skol2( X, Y, Z ) ==> Z }.
% 12.78/13.16 parent0: (28257) {G1,W10,D3,L2,V3,Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------