TSTP Solution File: SEU360+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU360+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 07:12:45 EDT 2022
% Result : Theorem 13.61s 14.07s
% Output : Refutation 13.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU360+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Mon Jun 20 13:33:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.72/1.26 *** allocated 10000 integers for termspace/termends
% 0.72/1.26 *** allocated 10000 integers for clauses
% 0.72/1.26 *** allocated 10000 integers for justifications
% 0.72/1.26 Bliksem 1.12
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 Automatic Strategy Selection
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 Clauses:
% 0.72/1.26
% 0.72/1.26 { ! in( X, Y ), ! in( Y, X ) }.
% 0.72/1.26 { ! empty( X ), finite( X ) }.
% 0.72/1.26 { ! rel_str( X ), ! lower_bounded_relstr( X ), element( skol1( X ),
% 0.72/1.26 the_carrier( X ) ) }.
% 0.72/1.26 { ! rel_str( X ), ! lower_bounded_relstr( X ), relstr_element_smaller( X,
% 0.72/1.26 the_carrier( X ), skol1( X ) ) }.
% 0.72/1.26 { ! rel_str( X ), ! element( Y, the_carrier( X ) ), !
% 0.72/1.26 relstr_element_smaller( X, the_carrier( X ), Y ), lower_bounded_relstr( X
% 0.72/1.26 ) }.
% 0.72/1.26 { ! rel_str( X ), ! element( Y, the_carrier( X ) ), !
% 0.72/1.26 relstr_element_smaller( X, Z, Y ), ! element( T, the_carrier( X ) ),
% 0.72/1.26 alpha1( X, Y, Z, T ) }.
% 0.72/1.26 { ! rel_str( X ), ! element( Y, the_carrier( X ) ), element( skol2( X, T, U
% 0.72/1.26 ), the_carrier( X ) ), relstr_element_smaller( X, Z, Y ) }.
% 0.72/1.26 { ! rel_str( X ), ! element( Y, the_carrier( X ) ), ! alpha1( X, Y, Z,
% 0.72/1.26 skol2( X, Y, Z ) ), relstr_element_smaller( X, Z, Y ) }.
% 0.72/1.26 { ! alpha1( X, Y, Z, T ), ! in( T, Z ), related( X, Y, T ) }.
% 0.72/1.26 { in( T, Z ), alpha1( X, Y, Z, T ) }.
% 0.72/1.26 { ! related( X, Y, T ), alpha1( X, Y, Z, T ) }.
% 0.72/1.26 { && }.
% 0.72/1.26 { ! rel_str( X ), one_sorted_str( X ) }.
% 0.72/1.26 { && }.
% 0.72/1.26 { && }.
% 0.72/1.26 { && }.
% 0.72/1.26 { rel_str( skol3 ) }.
% 0.72/1.26 { one_sorted_str( skol4 ) }.
% 0.72/1.26 { element( skol5( X ), X ) }.
% 0.72/1.26 { empty_carrier( X ), ! one_sorted_str( X ), ! empty( the_carrier( X ) ) }
% 0.72/1.26 .
% 0.72/1.26 { empty( empty_set ) }.
% 0.72/1.26 { ! empty( skol6 ) }.
% 0.72/1.26 { finite( skol6 ) }.
% 0.72/1.26 { empty( skol7 ) }.
% 0.72/1.26 { ! empty( skol8 ) }.
% 0.72/1.26 { one_sorted_str( skol9 ) }.
% 0.72/1.26 { ! empty_carrier( skol9 ) }.
% 0.72/1.26 { ! antisymmetric_relstr( X ), ! rel_str( X ), ! ex_sup_of_relstr_set( X, Y
% 0.72/1.26 ), element( skol10( X, Z ), the_carrier( X ) ) }.
% 0.72/1.26 { ! antisymmetric_relstr( X ), ! rel_str( X ), ! ex_sup_of_relstr_set( X, Y
% 0.72/1.26 ), alpha2( X, Y, skol10( X, Y ) ) }.
% 0.72/1.26 { ! antisymmetric_relstr( X ), ! rel_str( X ), ! element( Z, the_carrier( X
% 0.72/1.26 ) ), ! alpha2( X, Y, Z ), ex_sup_of_relstr_set( X, Y ) }.
% 0.72/1.26 { ! alpha2( X, Y, Z ), relstr_set_smaller( X, Y, Z ) }.
% 0.72/1.26 { ! alpha2( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.72/1.26 { ! relstr_set_smaller( X, Y, Z ), ! alpha4( X, Y, Z ), alpha2( X, Y, Z ) }
% 0.72/1.26 .
% 0.72/1.26 { ! alpha4( X, Y, Z ), ! element( T, the_carrier( X ) ), alpha6( X, Y, Z, T
% 0.72/1.26 ) }.
% 0.72/1.26 { element( skol11( X, T, U ), the_carrier( X ) ), alpha4( X, Y, Z ) }.
% 0.72/1.26 { ! alpha6( X, Y, Z, skol11( X, Y, Z ) ), alpha4( X, Y, Z ) }.
% 0.72/1.26 { ! alpha6( X, Y, Z, T ), ! relstr_set_smaller( X, Y, T ), related( X, Z, T
% 0.72/1.26 ) }.
% 0.72/1.26 { relstr_set_smaller( X, Y, T ), alpha6( X, Y, Z, T ) }.
% 0.72/1.26 { ! related( X, Z, T ), alpha6( X, Y, Z, T ) }.
% 0.72/1.26 { ! antisymmetric_relstr( X ), ! rel_str( X ), ! ex_inf_of_relstr_set( X, Y
% 0.72/1.26 ), element( skol12( X, Z ), the_carrier( X ) ) }.
% 0.72/1.26 { ! antisymmetric_relstr( X ), ! rel_str( X ), ! ex_inf_of_relstr_set( X, Y
% 0.72/1.26 ), alpha3( X, Y, skol12( X, Y ) ) }.
% 0.72/1.26 { ! antisymmetric_relstr( X ), ! rel_str( X ), ! element( Z, the_carrier( X
% 0.72/1.26 ) ), ! alpha3( X, Y, Z ), ex_inf_of_relstr_set( X, Y ) }.
% 0.72/1.26 { ! alpha3( X, Y, Z ), relstr_element_smaller( X, Y, Z ) }.
% 0.72/1.26 { ! alpha3( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.72/1.26 { ! relstr_element_smaller( X, Y, Z ), ! alpha5( X, Y, Z ), alpha3( X, Y, Z
% 0.72/1.26 ) }.
% 0.72/1.26 { ! alpha5( X, Y, Z ), ! element( T, the_carrier( X ) ), alpha7( X, Y, Z, T
% 0.72/1.26 ) }.
% 0.72/1.26 { element( skol13( X, T, U ), the_carrier( X ) ), alpha5( X, Y, Z ) }.
% 0.72/1.26 { ! alpha7( X, Y, Z, skol13( X, Y, Z ) ), alpha5( X, Y, Z ) }.
% 0.72/1.26 { ! alpha7( X, Y, Z, T ), ! relstr_element_smaller( X, Y, T ), related( X,
% 0.72/1.26 T, Z ) }.
% 0.72/1.26 { relstr_element_smaller( X, Y, T ), alpha7( X, Y, Z, T ) }.
% 0.72/1.26 { ! related( X, T, Z ), alpha7( X, Y, Z, T ) }.
% 0.72/1.26 { ! in( X, Y ), element( X, Y ) }.
% 0.72/1.26 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.72/1.26 { ! empty_carrier( skol14 ) }.
% 0.72/1.26 { antisymmetric_relstr( skol14 ) }.
% 0.72/1.26 { lower_bounded_relstr( skol14 ) }.
% 0.72/1.26 { rel_str( skol14 ) }.
% 0.72/1.26 { ! ex_sup_of_relstr_set( skol14, empty_set ), ! ex_inf_of_relstr_set(
% 0.72/1.26 skol14, the_carrier( skol14 ) ) }.
% 0.72/1.26 { ! empty( X ), X = empty_set }.
% 0.72/1.26 { ! rel_str( X ), ! element( Y, the_carrier( X ) ), relstr_set_smaller( X,
% 0.72/1.26 empty_set, Y ) }.
% 0.72/1.26 { ! rel_str( X ), ! element( Y, the_carrier( X ) ), relstr_element_smaller
% 0.72/1.26 ( X, empty_set, Y ) }.
% 0.72/1.26 { ! in( X, Y ), ! empty( Y ) }.
% 13.61/14.07 { ! empty( X ), X = Y, ! empty( Y ) }.
% 13.61/14.07
% 13.61/14.07 percentage equality = 0.014085, percentage horn = 0.883333
% 13.61/14.07 This is a problem with some equality
% 13.61/14.07
% 13.61/14.07
% 13.61/14.07
% 13.61/14.07 Options Used:
% 13.61/14.07
% 13.61/14.07 useres = 1
% 13.61/14.07 useparamod = 1
% 13.61/14.07 useeqrefl = 1
% 13.61/14.07 useeqfact = 1
% 13.61/14.07 usefactor = 1
% 13.61/14.07 usesimpsplitting = 0
% 13.61/14.07 usesimpdemod = 5
% 13.61/14.07 usesimpres = 3
% 13.61/14.07
% 13.61/14.07 resimpinuse = 1000
% 13.61/14.07 resimpclauses = 20000
% 13.61/14.07 substype = eqrewr
% 13.61/14.07 backwardsubs = 1
% 13.61/14.07 selectoldest = 5
% 13.61/14.07
% 13.61/14.07 litorderings [0] = split
% 13.61/14.07 litorderings [1] = extend the termordering, first sorting on arguments
% 13.61/14.07
% 13.61/14.07 termordering = kbo
% 13.61/14.07
% 13.61/14.07 litapriori = 0
% 13.61/14.07 termapriori = 1
% 13.61/14.07 litaposteriori = 0
% 13.61/14.07 termaposteriori = 0
% 13.61/14.07 demodaposteriori = 0
% 13.61/14.07 ordereqreflfact = 0
% 13.61/14.07
% 13.61/14.07 litselect = negord
% 13.61/14.07
% 13.61/14.07 maxweight = 15
% 13.61/14.07 maxdepth = 30000
% 13.61/14.07 maxlength = 115
% 13.61/14.07 maxnrvars = 195
% 13.61/14.07 excuselevel = 1
% 13.61/14.07 increasemaxweight = 1
% 13.61/14.07
% 13.61/14.07 maxselected = 10000000
% 13.61/14.07 maxnrclauses = 10000000
% 13.61/14.07
% 13.61/14.07 showgenerated = 0
% 13.61/14.07 showkept = 0
% 13.61/14.07 showselected = 0
% 13.61/14.07 showdeleted = 0
% 13.61/14.07 showresimp = 1
% 13.61/14.07 showstatus = 2000
% 13.61/14.07
% 13.61/14.07 prologoutput = 0
% 13.61/14.07 nrgoals = 5000000
% 13.61/14.07 totalproof = 1
% 13.61/14.07
% 13.61/14.07 Symbols occurring in the translation:
% 13.61/14.07
% 13.61/14.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 13.61/14.07 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 13.61/14.07 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 13.61/14.07 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 13.61/14.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 13.61/14.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 13.61/14.07 in [37, 2] (w:1, o:57, a:1, s:1, b:0),
% 13.61/14.07 empty [38, 1] (w:1, o:23, a:1, s:1, b:0),
% 13.61/14.07 finite [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 13.61/14.07 rel_str [40, 1] (w:1, o:26, a:1, s:1, b:0),
% 13.61/14.07 lower_bounded_relstr [41, 1] (w:1, o:27, a:1, s:1, b:0),
% 13.61/14.07 the_carrier [42, 1] (w:1, o:30, a:1, s:1, b:0),
% 13.61/14.07 element [43, 2] (w:1, o:58, a:1, s:1, b:0),
% 13.61/14.07 relstr_element_smaller [44, 3] (w:1, o:63, a:1, s:1, b:0),
% 13.61/14.07 related [47, 3] (w:1, o:64, a:1, s:1, b:0),
% 13.61/14.07 one_sorted_str [48, 1] (w:1, o:31, a:1, s:1, b:0),
% 13.61/14.07 empty_carrier [49, 1] (w:1, o:24, a:1, s:1, b:0),
% 13.61/14.07 empty_set [50, 0] (w:1, o:10, a:1, s:1, b:0),
% 13.61/14.07 antisymmetric_relstr [51, 1] (w:1, o:32, a:1, s:1, b:0),
% 13.61/14.07 ex_sup_of_relstr_set [52, 2] (w:1, o:59, a:1, s:1, b:0),
% 13.61/14.07 relstr_set_smaller [53, 3] (w:1, o:65, a:1, s:1, b:0),
% 13.61/14.07 ex_inf_of_relstr_set [54, 2] (w:1, o:60, a:1, s:1, b:0),
% 13.61/14.07 alpha1 [55, 4] (w:1, o:73, a:1, s:1, b:1),
% 13.61/14.07 alpha2 [56, 3] (w:1, o:66, a:1, s:1, b:1),
% 13.61/14.07 alpha3 [57, 3] (w:1, o:67, a:1, s:1, b:1),
% 13.61/14.07 alpha4 [58, 3] (w:1, o:68, a:1, s:1, b:1),
% 13.61/14.07 alpha5 [59, 3] (w:1, o:69, a:1, s:1, b:1),
% 13.61/14.07 alpha6 [60, 4] (w:1, o:74, a:1, s:1, b:1),
% 13.61/14.07 alpha7 [61, 4] (w:1, o:75, a:1, s:1, b:1),
% 13.61/14.07 skol1 [62, 1] (w:1, o:28, a:1, s:1, b:1),
% 13.61/14.07 skol2 [63, 3] (w:1, o:72, a:1, s:1, b:1),
% 13.61/14.07 skol3 [64, 0] (w:1, o:11, a:1, s:1, b:1),
% 13.61/14.07 skol4 [65, 0] (w:1, o:12, a:1, s:1, b:1),
% 13.61/14.07 skol5 [66, 1] (w:1, o:29, a:1, s:1, b:1),
% 13.61/14.07 skol6 [67, 0] (w:1, o:13, a:1, s:1, b:1),
% 13.61/14.07 skol7 [68, 0] (w:1, o:14, a:1, s:1, b:1),
% 13.61/14.07 skol8 [69, 0] (w:1, o:15, a:1, s:1, b:1),
% 13.61/14.07 skol9 [70, 0] (w:1, o:16, a:1, s:1, b:1),
% 13.61/14.07 skol10 [71, 2] (w:1, o:61, a:1, s:1, b:1),
% 13.61/14.07 skol11 [72, 3] (w:1, o:70, a:1, s:1, b:1),
% 13.61/14.07 skol12 [73, 2] (w:1, o:62, a:1, s:1, b:1),
% 13.61/14.07 skol13 [74, 3] (w:1, o:71, a:1, s:1, b:1),
% 13.61/14.07 skol14 [75, 0] (w:1, o:17, a:1, s:1, b:1).
% 13.61/14.07
% 13.61/14.07
% 13.61/14.07 Starting Search:
% 13.61/14.07
% 13.61/14.07 *** allocated 15000 integers for clauses
% 13.61/14.07 *** allocated 22500 integers for clauses
% 13.61/14.07 *** allocated 33750 integers for clauses
% 13.61/14.07 *** allocated 50625 integers for clauses
% 13.61/14.07 *** allocated 15000 integers for termspace/termends
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 *** allocated 75937 integers for clauses
% 13.61/14.07 *** allocated 22500 integers for termspace/termends
% 13.61/14.07 *** allocated 113905 integers for clauses
% 13.61/14.07 *** allocated 33750 integers for termspace/termends
% 13.61/14.07
% 13.61/14.07 Intermediate Status:
% 13.61/14.07 Generated: 7722
% 13.61/14.07 Kept: 2004
% 13.61/14.07 Inuse: 258
% 13.61/14.07 Deleted: 5
% 13.61/14.07 Deletedinuse: 3
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 *** allocated 50625 integers for termspace/termends
% 13.61/14.07 *** allocated 170857 integers for clauses
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 *** allocated 75937 integers for termspace/termends
% 13.61/14.07
% 13.61/14.07 Intermediate Status:
% 13.61/14.07 Generated: 20750
% 13.61/14.07 Kept: 4007
% 13.61/14.07 Inuse: 462
% 13.61/14.07 Deleted: 11
% 13.61/14.07 Deletedinuse: 8
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 *** allocated 256285 integers for clauses
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 *** allocated 113905 integers for termspace/termends
% 13.61/14.07
% 13.61/14.07 Intermediate Status:
% 13.61/14.07 Generated: 35221
% 13.61/14.07 Kept: 6170
% 13.61/14.07 Inuse: 538
% 13.61/14.07 Deleted: 14
% 13.61/14.07 Deletedinuse: 10
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 *** allocated 384427 integers for clauses
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 *** allocated 170857 integers for termspace/termends
% 13.61/14.07
% 13.61/14.07 Intermediate Status:
% 13.61/14.07 Generated: 50917
% 13.61/14.07 Kept: 8519
% 13.61/14.07 Inuse: 623
% 13.61/14.07 Deleted: 14
% 13.61/14.07 Deletedinuse: 10
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 *** allocated 576640 integers for clauses
% 13.61/14.07
% 13.61/14.07 Intermediate Status:
% 13.61/14.07 Generated: 67448
% 13.61/14.07 Kept: 10536
% 13.61/14.07 Inuse: 702
% 13.61/14.07 Deleted: 21
% 13.61/14.07 Deletedinuse: 11
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 *** allocated 256285 integers for termspace/termends
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07
% 13.61/14.07 Intermediate Status:
% 13.61/14.07 Generated: 85720
% 13.61/14.07 Kept: 12563
% 13.61/14.07 Inuse: 821
% 13.61/14.07 Deleted: 78
% 13.61/14.07 Deletedinuse: 11
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07
% 13.61/14.07 Intermediate Status:
% 13.61/14.07 Generated: 110340
% 13.61/14.07 Kept: 14845
% 13.61/14.07 Inuse: 904
% 13.61/14.07 Deleted: 79
% 13.61/14.07 Deletedinuse: 11
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 *** allocated 864960 integers for clauses
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 *** allocated 384427 integers for termspace/termends
% 13.61/14.07
% 13.61/14.07 Intermediate Status:
% 13.61/14.07 Generated: 140809
% 13.61/14.07 Kept: 16853
% 13.61/14.07 Inuse: 1052
% 13.61/14.07 Deleted: 87
% 13.61/14.07 Deletedinuse: 11
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07
% 13.61/14.07 Intermediate Status:
% 13.61/14.07 Generated: 172757
% 13.61/14.07 Kept: 18871
% 13.61/14.07 Inuse: 1165
% 13.61/14.07 Deleted: 97
% 13.61/14.07 Deletedinuse: 12
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 Resimplifying clauses:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07
% 13.61/14.07 Intermediate Status:
% 13.61/14.07 Generated: 193005
% 13.61/14.07 Kept: 20891
% 13.61/14.07 Inuse: 1239
% 13.61/14.07 Deleted: 1095
% 13.61/14.07 Deletedinuse: 12
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07
% 13.61/14.07 Intermediate Status:
% 13.61/14.07 Generated: 221567
% 13.61/14.07 Kept: 22894
% 13.61/14.07 Inuse: 1346
% 13.61/14.07 Deleted: 1097
% 13.61/14.07 Deletedinuse: 13
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 *** allocated 1297440 integers for clauses
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 *** allocated 576640 integers for termspace/termends
% 13.61/14.07
% 13.61/14.07 Intermediate Status:
% 13.61/14.07 Generated: 257599
% 13.61/14.07 Kept: 24899
% 13.61/14.07 Inuse: 1480
% 13.61/14.07 Deleted: 1097
% 13.61/14.07 Deletedinuse: 13
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07
% 13.61/14.07 Intermediate Status:
% 13.61/14.07 Generated: 322883
% 13.61/14.07 Kept: 26905
% 13.61/14.07 Inuse: 1744
% 13.61/14.07 Deleted: 1098
% 13.61/14.07 Deletedinuse: 13
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07
% 13.61/14.07 Intermediate Status:
% 13.61/14.07 Generated: 525424
% 13.61/14.07 Kept: 28916
% 13.61/14.07 Inuse: 1971
% 13.61/14.07 Deleted: 1098
% 13.61/14.07 Deletedinuse: 13
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07
% 13.61/14.07 Intermediate Status:
% 13.61/14.07 Generated: 568238
% 13.61/14.07 Kept: 30938
% 13.61/14.07 Inuse: 2156
% 13.61/14.07 Deleted: 1098
% 13.61/14.07 Deletedinuse: 13
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07
% 13.61/14.07 Intermediate Status:
% 13.61/14.07 Generated: 583866
% 13.61/14.07 Kept: 32949
% 13.61/14.07 Inuse: 2223
% 13.61/14.07 Deleted: 1198
% 13.61/14.07 Deletedinuse: 109
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07
% 13.61/14.07 Intermediate Status:
% 13.61/14.07 Generated: 611114
% 13.61/14.07 Kept: 34962
% 13.61/14.07 Inuse: 2315
% 13.61/14.07 Deleted: 1204
% 13.61/14.07 Deletedinuse: 110
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 *** allocated 1946160 integers for clauses
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 *** allocated 864960 integers for termspace/termends
% 13.61/14.07
% 13.61/14.07 Intermediate Status:
% 13.61/14.07 Generated: 651833
% 13.61/14.07 Kept: 36963
% 13.61/14.07 Inuse: 2481
% 13.61/14.07 Deleted: 1215
% 13.61/14.07 Deletedinuse: 111
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07 Resimplifying inuse:
% 13.61/14.07 Done
% 13.61/14.07
% 13.61/14.07
% 13.61/14.07 Bliksems!, er is een bewijs:
% 13.61/14.07 % SZS status Theorem
% 13.61/14.07 % SZS output start Refutation
% 13.61/14.07
% 13.61/14.07 (2) {G0,W9,D3,L3,V1,M3} I { ! rel_str( X ), ! lower_bounded_relstr( X ),
% 13.61/14.07 element( skol1( X ), the_carrier( X ) ) }.
% 13.61/14.07 (3) {G0,W10,D3,L3,V1,M3} I { ! rel_str( X ), ! lower_bounded_relstr( X ),
% 13.61/14.07 relstr_element_smaller( X, the_carrier( X ), skol1( X ) ) }.
% 13.61/14.07 (5) {G0,W19,D3,L5,V4,M5} I { ! rel_str( X ), ! element( Y, the_carrier( X )
% 13.61/14.07 ), ! relstr_element_smaller( X, Z, Y ), ! element( T, the_carrier( X ) )
% 13.61/14.07 , alpha1( X, Y, Z, T ) }.
% 13.61/14.07 (8) {G0,W12,D2,L3,V4,M3} I { ! alpha1( X, Y, Z, T ), ! in( T, Z ), related
% 13.61/14.07 ( X, Y, T ) }.
% 13.61/14.07 (12) {G0,W4,D2,L2,V1,M2} I { ! rel_str( X ), one_sorted_str( X ) }.
% 13.61/14.07 (16) {G0,W7,D3,L3,V1,M3} I { empty_carrier( X ), ! one_sorted_str( X ), !
% 13.61/14.07 empty( the_carrier( X ) ) }.
% 13.61/14.07 (26) {G0,W15,D3,L5,V3,M5} I { ! antisymmetric_relstr( X ), ! rel_str( X ),
% 13.61/14.07 ! element( Z, the_carrier( X ) ), ! alpha2( X, Y, Z ),
% 13.61/14.07 ex_sup_of_relstr_set( X, Y ) }.
% 13.61/14.07 (29) {G0,W12,D2,L3,V3,M3} I { ! relstr_set_smaller( X, Y, Z ), ! alpha4( X
% 13.61/14.07 , Y, Z ), alpha2( X, Y, Z ) }.
% 13.61/14.07 (31) {G0,W11,D3,L2,V5,M2} I { element( skol11( X, T, U ), the_carrier( X )
% 13.61/14.07 ), alpha4( X, Y, Z ) }.
% 13.61/14.07 (32) {G0,W12,D3,L2,V3,M2} I { ! alpha6( X, Y, Z, skol11( X, Y, Z ) ),
% 13.61/14.07 alpha4( X, Y, Z ) }.
% 13.61/14.07 (35) {G0,W9,D2,L2,V4,M2} I { ! related( X, Z, T ), alpha6( X, Y, Z, T ) }.
% 13.61/14.07 (38) {G0,W15,D3,L5,V3,M5} I { ! antisymmetric_relstr( X ), ! rel_str( X ),
% 13.61/14.07 ! element( Z, the_carrier( X ) ), ! alpha3( X, Y, Z ),
% 13.61/14.07 ex_inf_of_relstr_set( X, Y ) }.
% 13.61/14.07 (41) {G0,W12,D2,L3,V3,M3} I { ! relstr_element_smaller( X, Y, Z ), ! alpha5
% 13.61/14.07 ( X, Y, Z ), alpha3( X, Y, Z ) }.
% 13.61/14.07 (43) {G0,W11,D3,L2,V5,M2} I { element( skol13( X, T, U ), the_carrier( X )
% 13.61/14.07 ), alpha5( X, Y, Z ) }.
% 13.61/14.07 (44) {G0,W12,D3,L2,V3,M2} I { ! alpha7( X, Y, Z, skol13( X, Y, Z ) ),
% 13.61/14.07 alpha5( X, Y, Z ) }.
% 13.61/14.07 (46) {G0,W9,D2,L2,V4,M2} I { relstr_element_smaller( X, Y, T ), alpha7( X,
% 13.61/14.07 Y, Z, T ) }.
% 13.61/14.07 (47) {G0,W9,D2,L2,V4,M2} I { ! related( X, T, Z ), alpha7( X, Y, Z, T ) }.
% 13.61/14.07 (49) {G0,W8,D2,L3,V2,M3} I { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 13.61/14.07 (50) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol14 ) }.
% 13.61/14.07 (51) {G0,W2,D2,L1,V0,M1} I { antisymmetric_relstr( skol14 ) }.
% 13.61/14.07 (52) {G0,W2,D2,L1,V0,M1} I { lower_bounded_relstr( skol14 ) }.
% 13.61/14.07 (53) {G0,W2,D2,L1,V0,M1} I { rel_str( skol14 ) }.
% 13.61/14.07 (54) {G0,W7,D3,L2,V0,M2} I { ! ex_sup_of_relstr_set( skol14, empty_set ), !
% 13.61/14.07 ex_inf_of_relstr_set( skol14, the_carrier( skol14 ) ) }.
% 13.61/14.07 (56) {G0,W10,D3,L3,V2,M3} I { ! rel_str( X ), ! element( Y, the_carrier( X
% 13.61/14.07 ) ), relstr_set_smaller( X, empty_set, Y ) }.
% 13.61/14.07 (64) {G1,W5,D3,L1,V0,M1} R(2,52);r(53) { element( skol1( skol14 ),
% 13.61/14.07 the_carrier( skol14 ) ) }.
% 13.61/14.07 (67) {G1,W6,D3,L1,V0,M1} R(3,52);r(53) { relstr_element_smaller( skol14,
% 13.61/14.07 the_carrier( skol14 ), skol1( skol14 ) ) }.
% 13.61/14.07 (69) {G1,W2,D2,L1,V0,M1} R(12,53) { one_sorted_str( skol14 ) }.
% 13.61/14.07 (95) {G1,W15,D3,L4,V2,M4} R(5,3);f;r(2) { ! rel_str( X ), ! element( Y,
% 13.61/14.07 the_carrier( X ) ), alpha1( X, skol1( X ), the_carrier( X ), Y ), !
% 13.61/14.07 lower_bounded_relstr( X ) }.
% 13.61/14.07 (140) {G2,W14,D3,L3,V2,M3} R(64,5);r(53) { ! element( X, the_carrier(
% 13.61/14.07 skol14 ) ), ! relstr_element_smaller( skol14, Y, X ), alpha1( skol14, X,
% 13.61/14.07 Y, skol1( skol14 ) ) }.
% 13.61/14.07 (171) {G2,W3,D3,L1,V0,M1} R(16,69);r(50) { ! empty( the_carrier( skol14 ) )
% 13.61/14.07 }.
% 13.61/14.07 (230) {G1,W11,D3,L3,V2,M3} R(26,51);r(53) { ! element( X, the_carrier(
% 13.61/14.07 skol14 ) ), ! alpha2( skol14, Y, X ), ex_sup_of_relstr_set( skol14, Y )
% 13.61/14.07 }.
% 13.61/14.07 (307) {G1,W14,D2,L4,V4,M4} R(49,8) { ! element( X, Y ), empty( Y ), !
% 13.61/14.07 alpha1( Z, T, Y, X ), related( Z, T, X ) }.
% 13.61/14.07 (308) {G3,W5,D3,L1,V0,M1} R(49,64);r(171) { in( skol1( skol14 ),
% 13.61/14.07 the_carrier( skol14 ) ) }.
% 13.61/14.07 (432) {G4,W12,D3,L2,V2,M2} R(308,8) { ! alpha1( X, Y, the_carrier( skol14 )
% 13.61/14.07 , skol1( skol14 ) ), related( X, Y, skol1( skol14 ) ) }.
% 13.61/14.07 (486) {G1,W11,D3,L2,V3,M2} R(35,32) { ! related( X, Y, skol11( X, Z, Y ) )
% 13.61/14.07 , alpha4( X, Z, Y ) }.
% 13.61/14.07 (616) {G2,W10,D3,L3,V1,M3} R(38,64);r(51) { ! rel_str( skol14 ), ! alpha3(
% 13.61/14.07 skol14, X, skol1( skol14 ) ), ex_inf_of_relstr_set( skol14, X ) }.
% 13.61/14.07 (855) {G1,W11,D3,L2,V3,M2} R(46,44) { relstr_element_smaller( X, Y, skol13
% 13.61/14.07 ( X, Y, Z ) ), alpha5( X, Y, Z ) }.
% 13.61/14.07 (872) {G1,W11,D3,L2,V3,M2} R(47,44) { ! related( X, skol13( X, Y, Z ), Z )
% 13.61/14.07 , alpha5( X, Y, Z ) }.
% 13.61/14.07 (907) {G2,W5,D3,L1,V0,M1} R(56,64);r(53) { relstr_set_smaller( skol14,
% 13.61/14.07 empty_set, skol1( skol14 ) ) }.
% 13.61/14.07 (922) {G3,W10,D3,L2,V0,M2} R(907,29) { ! alpha4( skol14, empty_set, skol1(
% 13.61/14.07 skol14 ) ), alpha2( skol14, empty_set, skol1( skol14 ) ) }.
% 13.61/14.07 (1940) {G2,W11,D3,L2,V1,M2} R(95,52);r(53) { ! element( X, the_carrier(
% 13.61/14.07 skol14 ) ), alpha1( skol14, skol1( skol14 ), the_carrier( skol14 ), X )
% 13.61/14.07 }.
% 13.61/14.07 (17251) {G4,W8,D3,L2,V0,M2} R(922,230);r(64) { ! alpha4( skol14, empty_set
% 13.61/14.07 , skol1( skol14 ) ), ex_sup_of_relstr_set( skol14, empty_set ) }.
% 13.61/14.07 (17270) {G5,W10,D3,L2,V2,M2} R(17251,31) { ex_sup_of_relstr_set( skol14,
% 13.61/14.07 empty_set ), element( skol11( skol14, X, Y ), the_carrier( skol14 ) ) }.
% 13.61/14.07 (20061) {G3,W8,D3,L2,V1,M2} S(616);r(53) { ! alpha3( skol14, X, skol1(
% 13.61/14.07 skol14 ) ), ex_inf_of_relstr_set( skol14, X ) }.
% 13.61/14.07 (20076) {G4,W9,D3,L2,V0,M2} R(20061,54) { ! alpha3( skol14, the_carrier(
% 13.61/14.07 skol14 ), skol1( skol14 ) ), ! ex_sup_of_relstr_set( skol14, empty_set )
% 13.61/14.07 }.
% 13.61/14.07 (20154) {G5,W9,D3,L2,V0,M2} R(20076,41);r(67) { ! ex_sup_of_relstr_set(
% 13.61/14.07 skol14, empty_set ), ! alpha5( skol14, the_carrier( skol14 ), skol1(
% 13.61/14.07 skol14 ) ) }.
% 13.61/14.07 (20194) {G6,W10,D3,L2,V2,M2} R(20154,43) { ! ex_sup_of_relstr_set( skol14,
% 13.61/14.07 empty_set ), element( skol13( skol14, X, Y ), the_carrier( skol14 ) ) }.
% 13.61/14.07 (30229) {G3,W9,D3,L2,V1,M2} R(1940,307);f;r(171) { ! element( X,
% 13.61/14.07 the_carrier( skol14 ) ), related( skol14, skol1( skol14 ), X ) }.
% 13.61/14.07 (30257) {G6,W11,D3,L2,V2,M2} R(30229,17270) { related( skol14, skol1(
% 13.61/14.07 skol14 ), skol11( skol14, X, Y ) ), ex_sup_of_relstr_set( skol14,
% 13.61/14.07 empty_set ) }.
% 13.61/14.07 (30677) {G7,W8,D3,L2,V1,M2} R(30257,486) { ex_sup_of_relstr_set( skol14,
% 13.61/14.07 empty_set ), alpha4( skol14, X, skol1( skol14 ) ) }.
% 13.61/14.07 (30734) {G8,W3,D2,L1,V0,M1} R(30677,17251);f { ex_sup_of_relstr_set( skol14
% 13.61/14.07 , empty_set ) }.
% 13.61/14.07 (30809) {G9,W7,D3,L1,V2,M1} R(30734,20194) { element( skol13( skol14, X, Y
% 13.61/14.07 ), the_carrier( skol14 ) ) }.
% 13.61/14.07 (30810) {G9,W6,D3,L1,V0,M1} R(30734,20154) { ! alpha5( skol14, the_carrier
% 13.61/14.07 ( skol14 ), skol1( skol14 ) ) }.
% 13.61/14.07 (31618) {G10,W10,D4,L1,V0,M1} R(30810,855) { relstr_element_smaller( skol14
% 13.61/14.07 , the_carrier( skol14 ), skol13( skol14, the_carrier( skol14 ), skol1(
% 13.61/14.07 skol14 ) ) ) }.
% 13.61/14.07 (31619) {G10,W10,D4,L1,V0,M1} R(30810,872) { ! related( skol14, skol13(
% 13.61/14.07 skol14, the_carrier( skol14 ), skol1( skol14 ) ), skol1( skol14 ) ) }.
% 13.61/14.07 (38704) {G11,W12,D4,L1,V0,M1} R(31618,140);r(30809) { alpha1( skol14,
% 13.61/14.07 skol13( skol14, the_carrier( skol14 ), skol1( skol14 ) ), the_carrier(
% 13.61/14.07 skol14 ), skol1( skol14 ) ) }.
% 13.61/14.07 (38730) {G12,W0,D0,L0,V0,M0} R(31619,432);r(38704) { }.
% 13.61/14.07
% 13.61/14.07
% 13.61/14.07 % SZS output end Refutation
% 13.61/14.07 found a proof!
% 13.61/14.07
% 13.61/14.07
% 13.61/14.07 Unprocessed initial clauses:
% 13.61/14.07
% 13.61/14.07 (38732) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 13.61/14.07 (38733) {G0,W4,D2,L2,V1,M2} { ! empty( X ), finite( X ) }.
% 13.61/14.07 (38734) {G0,W9,D3,L3,V1,M3} { ! rel_str( X ), ! lower_bounded_relstr( X )
% 13.61/14.07 , element( skol1( X ), the_carrier( X ) ) }.
% 13.61/14.07 (38735) {G0,W10,D3,L3,V1,M3} { ! rel_str( X ), ! lower_bounded_relstr( X )
% 13.61/14.07 , relstr_element_smaller( X, the_carrier( X ), skol1( X ) ) }.
% 13.61/14.07 (38736) {G0,W13,D3,L4,V2,M4} { ! rel_str( X ), ! element( Y, the_carrier(
% 13.61/14.07 X ) ), ! relstr_element_smaller( X, the_carrier( X ), Y ),
% 13.61/14.07 lower_bounded_relstr( X ) }.
% 13.61/14.07 (38737) {G0,W19,D3,L5,V4,M5} { ! rel_str( X ), ! element( Y, the_carrier(
% 13.61/14.07 X ) ), ! relstr_element_smaller( X, Z, Y ), ! element( T, the_carrier( X
% 13.61/14.07 ) ), alpha1( X, Y, Z, T ) }.
% 13.61/14.07 (38738) {G0,W17,D3,L4,V5,M4} { ! rel_str( X ), ! element( Y, the_carrier(
% 13.61/14.07 X ) ), element( skol2( X, T, U ), the_carrier( X ) ),
% 13.61/14.07 relstr_element_smaller( X, Z, Y ) }.
% 13.61/14.07 (38739) {G0,W18,D3,L4,V3,M4} { ! rel_str( X ), ! element( Y, the_carrier(
% 13.61/14.07 X ) ), ! alpha1( X, Y, Z, skol2( X, Y, Z ) ), relstr_element_smaller( X,
% 13.61/14.07 Z, Y ) }.
% 13.61/14.07 (38740) {G0,W12,D2,L3,V4,M3} { ! alpha1( X, Y, Z, T ), ! in( T, Z ),
% 13.61/14.07 related( X, Y, T ) }.
% 13.61/14.07 (38741) {G0,W8,D2,L2,V4,M2} { in( T, Z ), alpha1( X, Y, Z, T ) }.
% 13.61/14.07 (38742) {G0,W9,D2,L2,V4,M2} { ! related( X, Y, T ), alpha1( X, Y, Z, T )
% 13.61/14.07 }.
% 13.61/14.07 (38743) {G0,W1,D1,L1,V0,M1} { && }.
% 13.61/14.07 (38744) {G0,W4,D2,L2,V1,M2} { ! rel_str( X ), one_sorted_str( X ) }.
% 13.61/14.07 (38745) {G0,W1,D1,L1,V0,M1} { && }.
% 13.61/14.07 (38746) {G0,W1,D1,L1,V0,M1} { && }.
% 13.61/14.07 (38747) {G0,W1,D1,L1,V0,M1} { && }.
% 13.61/14.07 (38748) {G0,W2,D2,L1,V0,M1} { rel_str( skol3 ) }.
% 13.61/14.07 (38749) {G0,W2,D2,L1,V0,M1} { one_sorted_str( skol4 ) }.
% 13.61/14.07 (38750) {G0,W4,D3,L1,V1,M1} { element( skol5( X ), X ) }.
% 13.61/14.07 (38751) {G0,W7,D3,L3,V1,M3} { empty_carrier( X ), ! one_sorted_str( X ), !
% 13.61/14.07 empty( the_carrier( X ) ) }.
% 13.61/14.07 (38752) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 13.61/14.07 (38753) {G0,W2,D2,L1,V0,M1} { ! empty( skol6 ) }.
% 13.61/14.07 (38754) {G0,W2,D2,L1,V0,M1} { finite( skol6 ) }.
% 13.61/14.07 (38755) {G0,W2,D2,L1,V0,M1} { empty( skol7 ) }.
% 13.61/14.07 (38756) {G0,W2,D2,L1,V0,M1} { ! empty( skol8 ) }.
% 13.61/14.07 (38757) {G0,W2,D2,L1,V0,M1} { one_sorted_str( skol9 ) }.
% 13.61/14.07 (38758) {G0,W2,D2,L1,V0,M1} { ! empty_carrier( skol9 ) }.
% 13.61/14.07 (38759) {G0,W13,D3,L4,V3,M4} { ! antisymmetric_relstr( X ), ! rel_str( X )
% 13.61/14.07 , ! ex_sup_of_relstr_set( X, Y ), element( skol10( X, Z ), the_carrier( X
% 13.61/14.07 ) ) }.
% 13.61/14.07 (38760) {G0,W13,D3,L4,V2,M4} { ! antisymmetric_relstr( X ), ! rel_str( X )
% 13.61/14.07 , ! ex_sup_of_relstr_set( X, Y ), alpha2( X, Y, skol10( X, Y ) ) }.
% 13.61/14.07 (38761) {G0,W15,D3,L5,V3,M5} { ! antisymmetric_relstr( X ), ! rel_str( X )
% 13.61/14.07 , ! element( Z, the_carrier( X ) ), ! alpha2( X, Y, Z ),
% 13.61/14.07 ex_sup_of_relstr_set( X, Y ) }.
% 13.61/14.07 (38762) {G0,W8,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), relstr_set_smaller( X,
% 13.61/14.07 Y, Z ) }.
% 13.61/14.07 (38763) {G0,W8,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha4( X, Y, Z ) }.
% 13.61/14.07 (38764) {G0,W12,D2,L3,V3,M3} { ! relstr_set_smaller( X, Y, Z ), ! alpha4(
% 13.61/14.07 X, Y, Z ), alpha2( X, Y, Z ) }.
% 13.61/14.07 (38765) {G0,W13,D3,L3,V4,M3} { ! alpha4( X, Y, Z ), ! element( T,
% 13.61/14.07 the_carrier( X ) ), alpha6( X, Y, Z, T ) }.
% 13.61/14.07 (38766) {G0,W11,D3,L2,V5,M2} { element( skol11( X, T, U ), the_carrier( X
% 13.61/14.07 ) ), alpha4( X, Y, Z ) }.
% 13.61/14.07 (38767) {G0,W12,D3,L2,V3,M2} { ! alpha6( X, Y, Z, skol11( X, Y, Z ) ),
% 13.61/14.07 alpha4( X, Y, Z ) }.
% 13.61/14.07 (38768) {G0,W13,D2,L3,V4,M3} { ! alpha6( X, Y, Z, T ), !
% 13.61/14.07 relstr_set_smaller( X, Y, T ), related( X, Z, T ) }.
% 13.61/14.07 (38769) {G0,W9,D2,L2,V4,M2} { relstr_set_smaller( X, Y, T ), alpha6( X, Y
% 13.61/14.07 , Z, T ) }.
% 13.61/14.07 (38770) {G0,W9,D2,L2,V4,M2} { ! related( X, Z, T ), alpha6( X, Y, Z, T )
% 13.61/14.07 }.
% 13.61/14.07 (38771) {G0,W13,D3,L4,V3,M4} { ! antisymmetric_relstr( X ), ! rel_str( X )
% 13.61/14.07 , ! ex_inf_of_relstr_set( X, Y ), element( skol12( X, Z ), the_carrier( X
% 13.61/14.07 ) ) }.
% 13.61/14.07 (38772) {G0,W13,D3,L4,V2,M4} { ! antisymmetric_relstr( X ), ! rel_str( X )
% 13.61/14.07 , ! ex_inf_of_relstr_set( X, Y ), alpha3( X, Y, skol12( X, Y ) ) }.
% 13.61/14.07 (38773) {G0,W15,D3,L5,V3,M5} { ! antisymmetric_relstr( X ), ! rel_str( X )
% 13.61/14.07 , ! element( Z, the_carrier( X ) ), ! alpha3( X, Y, Z ),
% 13.61/14.07 ex_inf_of_relstr_set( X, Y ) }.
% 13.61/14.07 (38774) {G0,W8,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), relstr_element_smaller
% 13.61/14.07 ( X, Y, Z ) }.
% 13.61/14.07 (38775) {G0,W8,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), alpha5( X, Y, Z ) }.
% 13.61/14.07 (38776) {G0,W12,D2,L3,V3,M3} { ! relstr_element_smaller( X, Y, Z ), !
% 13.61/14.07 alpha5( X, Y, Z ), alpha3( X, Y, Z ) }.
% 13.61/14.07 (38777) {G0,W13,D3,L3,V4,M3} { ! alpha5( X, Y, Z ), ! element( T,
% 13.61/14.07 the_carrier( X ) ), alpha7( X, Y, Z, T ) }.
% 13.61/14.07 (38778) {G0,W11,D3,L2,V5,M2} { element( skol13( X, T, U ), the_carrier( X
% 13.61/14.07 ) ), alpha5( X, Y, Z ) }.
% 13.61/14.07 (38779) {G0,W12,D3,L2,V3,M2} { ! alpha7( X, Y, Z, skol13( X, Y, Z ) ),
% 13.61/14.07 alpha5( X, Y, Z ) }.
% 13.61/14.07 (38780) {G0,W13,D2,L3,V4,M3} { ! alpha7( X, Y, Z, T ), !
% 13.61/14.07 relstr_element_smaller( X, Y, T ), related( X, T, Z ) }.
% 13.61/14.07 (38781) {G0,W9,D2,L2,V4,M2} { relstr_element_smaller( X, Y, T ), alpha7( X
% 13.61/14.07 , Y, Z, T ) }.
% 13.61/14.07 (38782) {G0,W9,D2,L2,V4,M2} { ! related( X, T, Z ), alpha7( X, Y, Z, T )
% 13.61/14.07 }.
% 13.61/14.07 (38783) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 13.61/14.07 (38784) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 13.61/14.07 }.
% 13.61/14.07 (38785) {G0,W2,D2,L1,V0,M1} { ! empty_carrier( skol14 ) }.
% 13.61/14.07 (38786) {G0,W2,D2,L1,V0,M1} { antisymmetric_relstr( skol14 ) }.
% 13.61/14.07 (38787) {G0,W2,D2,L1,V0,M1} { lower_bounded_relstr( skol14 ) }.
% 13.61/14.07 (38788) {G0,W2,D2,L1,V0,M1} { rel_str( skol14 ) }.
% 13.61/14.07 (38789) {G0,W7,D3,L2,V0,M2} { ! ex_sup_of_relstr_set( skol14, empty_set )
% 13.61/14.07 , ! ex_inf_of_relstr_set( skol14, the_carrier( skol14 ) ) }.
% 13.61/14.07 (38790) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 13.61/14.07 (38791) {G0,W10,D3,L3,V2,M3} { ! rel_str( X ), ! element( Y, the_carrier(
% 13.61/14.07 X ) ), relstr_set_smaller( X, empty_set, Y ) }.
% 13.61/14.07 (38792) {G0,W10,D3,L3,V2,M3} { ! rel_str( X ), ! element( Y, the_carrier(
% 13.61/14.07 X ) ), relstr_element_smaller( X, empty_set, Y ) }.
% 13.61/14.07 (38793) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 13.61/14.07 (38794) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 13.61/14.07
% 13.61/14.07
% 13.61/14.07 Total Proof:
% 13.61/14.07
% 13.61/14.07 subsumption: (2) {G0,W9,D3,L3,V1,M3} I { ! rel_str( X ), !
% 13.61/14.07 lower_bounded_relstr( X ), element( skol1( X ), the_carrier( X ) ) }.
% 13.61/14.07 parent0: (38734) {G0,W9,D3,L3,V1,M3} { ! rel_str( X ), !
% 13.61/14.07 lower_bounded_relstr( X ), element( skol1( X ), the_carrier( X ) ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 1 ==> 1
% 13.61/14.07 2 ==> 2
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (3) {G0,W10,D3,L3,V1,M3} I { ! rel_str( X ), !
% 13.61/14.07 lower_bounded_relstr( X ), relstr_element_smaller( X, the_carrier( X ),
% 13.61/14.07 skol1( X ) ) }.
% 13.61/14.07 parent0: (38735) {G0,W10,D3,L3,V1,M3} { ! rel_str( X ), !
% 13.61/14.07 lower_bounded_relstr( X ), relstr_element_smaller( X, the_carrier( X ),
% 13.61/14.07 skol1( X ) ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 1 ==> 1
% 13.61/14.07 2 ==> 2
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (5) {G0,W19,D3,L5,V4,M5} I { ! rel_str( X ), ! element( Y,
% 13.61/14.07 the_carrier( X ) ), ! relstr_element_smaller( X, Z, Y ), ! element( T,
% 13.61/14.07 the_carrier( X ) ), alpha1( X, Y, Z, T ) }.
% 13.61/14.07 parent0: (38737) {G0,W19,D3,L5,V4,M5} { ! rel_str( X ), ! element( Y,
% 13.61/14.07 the_carrier( X ) ), ! relstr_element_smaller( X, Z, Y ), ! element( T,
% 13.61/14.07 the_carrier( X ) ), alpha1( X, Y, Z, T ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := Y
% 13.61/14.07 Z := Z
% 13.61/14.07 T := T
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 1 ==> 1
% 13.61/14.07 2 ==> 2
% 13.61/14.07 3 ==> 3
% 13.61/14.07 4 ==> 4
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (8) {G0,W12,D2,L3,V4,M3} I { ! alpha1( X, Y, Z, T ), ! in( T,
% 13.61/14.07 Z ), related( X, Y, T ) }.
% 13.61/14.07 parent0: (38740) {G0,W12,D2,L3,V4,M3} { ! alpha1( X, Y, Z, T ), ! in( T, Z
% 13.61/14.07 ), related( X, Y, T ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := Y
% 13.61/14.07 Z := Z
% 13.61/14.07 T := T
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 1 ==> 1
% 13.61/14.07 2 ==> 2
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (12) {G0,W4,D2,L2,V1,M2} I { ! rel_str( X ), one_sorted_str( X
% 13.61/14.07 ) }.
% 13.61/14.07 parent0: (38744) {G0,W4,D2,L2,V1,M2} { ! rel_str( X ), one_sorted_str( X )
% 13.61/14.07 }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 1 ==> 1
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (16) {G0,W7,D3,L3,V1,M3} I { empty_carrier( X ), !
% 13.61/14.07 one_sorted_str( X ), ! empty( the_carrier( X ) ) }.
% 13.61/14.07 parent0: (38751) {G0,W7,D3,L3,V1,M3} { empty_carrier( X ), !
% 13.61/14.07 one_sorted_str( X ), ! empty( the_carrier( X ) ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 1 ==> 1
% 13.61/14.07 2 ==> 2
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (26) {G0,W15,D3,L5,V3,M5} I { ! antisymmetric_relstr( X ), !
% 13.61/14.07 rel_str( X ), ! element( Z, the_carrier( X ) ), ! alpha2( X, Y, Z ),
% 13.61/14.07 ex_sup_of_relstr_set( X, Y ) }.
% 13.61/14.07 parent0: (38761) {G0,W15,D3,L5,V3,M5} { ! antisymmetric_relstr( X ), !
% 13.61/14.07 rel_str( X ), ! element( Z, the_carrier( X ) ), ! alpha2( X, Y, Z ),
% 13.61/14.07 ex_sup_of_relstr_set( X, Y ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := Y
% 13.61/14.07 Z := Z
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 1 ==> 1
% 13.61/14.07 2 ==> 2
% 13.61/14.07 3 ==> 3
% 13.61/14.07 4 ==> 4
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (29) {G0,W12,D2,L3,V3,M3} I { ! relstr_set_smaller( X, Y, Z )
% 13.61/14.07 , ! alpha4( X, Y, Z ), alpha2( X, Y, Z ) }.
% 13.61/14.07 parent0: (38764) {G0,W12,D2,L3,V3,M3} { ! relstr_set_smaller( X, Y, Z ), !
% 13.61/14.07 alpha4( X, Y, Z ), alpha2( X, Y, Z ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := Y
% 13.61/14.07 Z := Z
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 1 ==> 1
% 13.61/14.07 2 ==> 2
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (31) {G0,W11,D3,L2,V5,M2} I { element( skol11( X, T, U ),
% 13.61/14.07 the_carrier( X ) ), alpha4( X, Y, Z ) }.
% 13.61/14.07 parent0: (38766) {G0,W11,D3,L2,V5,M2} { element( skol11( X, T, U ),
% 13.61/14.07 the_carrier( X ) ), alpha4( X, Y, Z ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := Y
% 13.61/14.07 Z := Z
% 13.61/14.07 T := T
% 13.61/14.07 U := U
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 1 ==> 1
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (32) {G0,W12,D3,L2,V3,M2} I { ! alpha6( X, Y, Z, skol11( X, Y
% 13.61/14.07 , Z ) ), alpha4( X, Y, Z ) }.
% 13.61/14.07 parent0: (38767) {G0,W12,D3,L2,V3,M2} { ! alpha6( X, Y, Z, skol11( X, Y, Z
% 13.61/14.07 ) ), alpha4( X, Y, Z ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := Y
% 13.61/14.07 Z := Z
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 1 ==> 1
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (35) {G0,W9,D2,L2,V4,M2} I { ! related( X, Z, T ), alpha6( X,
% 13.61/14.07 Y, Z, T ) }.
% 13.61/14.07 parent0: (38770) {G0,W9,D2,L2,V4,M2} { ! related( X, Z, T ), alpha6( X, Y
% 13.61/14.07 , Z, T ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := Y
% 13.61/14.07 Z := Z
% 13.61/14.07 T := T
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 1 ==> 1
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (38) {G0,W15,D3,L5,V3,M5} I { ! antisymmetric_relstr( X ), !
% 13.61/14.07 rel_str( X ), ! element( Z, the_carrier( X ) ), ! alpha3( X, Y, Z ),
% 13.61/14.07 ex_inf_of_relstr_set( X, Y ) }.
% 13.61/14.07 parent0: (38773) {G0,W15,D3,L5,V3,M5} { ! antisymmetric_relstr( X ), !
% 13.61/14.07 rel_str( X ), ! element( Z, the_carrier( X ) ), ! alpha3( X, Y, Z ),
% 13.61/14.07 ex_inf_of_relstr_set( X, Y ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := Y
% 13.61/14.07 Z := Z
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 1 ==> 1
% 13.61/14.07 2 ==> 2
% 13.61/14.07 3 ==> 3
% 13.61/14.07 4 ==> 4
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (41) {G0,W12,D2,L3,V3,M3} I { ! relstr_element_smaller( X, Y,
% 13.61/14.07 Z ), ! alpha5( X, Y, Z ), alpha3( X, Y, Z ) }.
% 13.61/14.07 parent0: (38776) {G0,W12,D2,L3,V3,M3} { ! relstr_element_smaller( X, Y, Z
% 13.61/14.07 ), ! alpha5( X, Y, Z ), alpha3( X, Y, Z ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := Y
% 13.61/14.07 Z := Z
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 1 ==> 1
% 13.61/14.07 2 ==> 2
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (43) {G0,W11,D3,L2,V5,M2} I { element( skol13( X, T, U ),
% 13.61/14.07 the_carrier( X ) ), alpha5( X, Y, Z ) }.
% 13.61/14.07 parent0: (38778) {G0,W11,D3,L2,V5,M2} { element( skol13( X, T, U ),
% 13.61/14.07 the_carrier( X ) ), alpha5( X, Y, Z ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := Y
% 13.61/14.07 Z := Z
% 13.61/14.07 T := T
% 13.61/14.07 U := U
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 1 ==> 1
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (44) {G0,W12,D3,L2,V3,M2} I { ! alpha7( X, Y, Z, skol13( X, Y
% 13.61/14.07 , Z ) ), alpha5( X, Y, Z ) }.
% 13.61/14.07 parent0: (38779) {G0,W12,D3,L2,V3,M2} { ! alpha7( X, Y, Z, skol13( X, Y, Z
% 13.61/14.07 ) ), alpha5( X, Y, Z ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := Y
% 13.61/14.07 Z := Z
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 1 ==> 1
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (46) {G0,W9,D2,L2,V4,M2} I { relstr_element_smaller( X, Y, T )
% 13.61/14.07 , alpha7( X, Y, Z, T ) }.
% 13.61/14.07 parent0: (38781) {G0,W9,D2,L2,V4,M2} { relstr_element_smaller( X, Y, T ),
% 13.61/14.07 alpha7( X, Y, Z, T ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := Y
% 13.61/14.07 Z := Z
% 13.61/14.07 T := T
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 1 ==> 1
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (47) {G0,W9,D2,L2,V4,M2} I { ! related( X, T, Z ), alpha7( X,
% 13.61/14.07 Y, Z, T ) }.
% 13.61/14.07 parent0: (38782) {G0,W9,D2,L2,V4,M2} { ! related( X, T, Z ), alpha7( X, Y
% 13.61/14.07 , Z, T ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := Y
% 13.61/14.07 Z := Z
% 13.61/14.07 T := T
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 1 ==> 1
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (49) {G0,W8,D2,L3,V2,M3} I { ! element( X, Y ), empty( Y ), in
% 13.61/14.07 ( X, Y ) }.
% 13.61/14.07 parent0: (38784) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in(
% 13.61/14.07 X, Y ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := Y
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 1 ==> 1
% 13.61/14.07 2 ==> 2
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (50) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol14 ) }.
% 13.61/14.07 parent0: (38785) {G0,W2,D2,L1,V0,M1} { ! empty_carrier( skol14 ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (51) {G0,W2,D2,L1,V0,M1} I { antisymmetric_relstr( skol14 )
% 13.61/14.07 }.
% 13.61/14.07 parent0: (38786) {G0,W2,D2,L1,V0,M1} { antisymmetric_relstr( skol14 ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (52) {G0,W2,D2,L1,V0,M1} I { lower_bounded_relstr( skol14 )
% 13.61/14.07 }.
% 13.61/14.07 parent0: (38787) {G0,W2,D2,L1,V0,M1} { lower_bounded_relstr( skol14 ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (53) {G0,W2,D2,L1,V0,M1} I { rel_str( skol14 ) }.
% 13.61/14.07 parent0: (38788) {G0,W2,D2,L1,V0,M1} { rel_str( skol14 ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (54) {G0,W7,D3,L2,V0,M2} I { ! ex_sup_of_relstr_set( skol14,
% 13.61/14.07 empty_set ), ! ex_inf_of_relstr_set( skol14, the_carrier( skol14 ) ) }.
% 13.61/14.07 parent0: (38789) {G0,W7,D3,L2,V0,M2} { ! ex_sup_of_relstr_set( skol14,
% 13.61/14.07 empty_set ), ! ex_inf_of_relstr_set( skol14, the_carrier( skol14 ) ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 1 ==> 1
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (56) {G0,W10,D3,L3,V2,M3} I { ! rel_str( X ), ! element( Y,
% 13.61/14.07 the_carrier( X ) ), relstr_set_smaller( X, empty_set, Y ) }.
% 13.61/14.07 parent0: (38791) {G0,W10,D3,L3,V2,M3} { ! rel_str( X ), ! element( Y,
% 13.61/14.07 the_carrier( X ) ), relstr_set_smaller( X, empty_set, Y ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := Y
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 1 ==> 1
% 13.61/14.07 2 ==> 2
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 resolution: (38842) {G1,W7,D3,L2,V0,M2} { ! rel_str( skol14 ), element(
% 13.61/14.07 skol1( skol14 ), the_carrier( skol14 ) ) }.
% 13.61/14.07 parent0[1]: (2) {G0,W9,D3,L3,V1,M3} I { ! rel_str( X ), !
% 13.61/14.07 lower_bounded_relstr( X ), element( skol1( X ), the_carrier( X ) ) }.
% 13.61/14.07 parent1[0]: (52) {G0,W2,D2,L1,V0,M1} I { lower_bounded_relstr( skol14 ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := skol14
% 13.61/14.07 end
% 13.61/14.07 substitution1:
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 resolution: (38843) {G1,W5,D3,L1,V0,M1} { element( skol1( skol14 ),
% 13.61/14.07 the_carrier( skol14 ) ) }.
% 13.61/14.07 parent0[0]: (38842) {G1,W7,D3,L2,V0,M2} { ! rel_str( skol14 ), element(
% 13.61/14.07 skol1( skol14 ), the_carrier( skol14 ) ) }.
% 13.61/14.07 parent1[0]: (53) {G0,W2,D2,L1,V0,M1} I { rel_str( skol14 ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 end
% 13.61/14.07 substitution1:
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (64) {G1,W5,D3,L1,V0,M1} R(2,52);r(53) { element( skol1(
% 13.61/14.07 skol14 ), the_carrier( skol14 ) ) }.
% 13.61/14.07 parent0: (38843) {G1,W5,D3,L1,V0,M1} { element( skol1( skol14 ),
% 13.61/14.07 the_carrier( skol14 ) ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 resolution: (38844) {G1,W8,D3,L2,V0,M2} { ! rel_str( skol14 ),
% 13.61/14.07 relstr_element_smaller( skol14, the_carrier( skol14 ), skol1( skol14 ) )
% 13.61/14.07 }.
% 13.61/14.07 parent0[1]: (3) {G0,W10,D3,L3,V1,M3} I { ! rel_str( X ), !
% 13.61/14.07 lower_bounded_relstr( X ), relstr_element_smaller( X, the_carrier( X ),
% 13.61/14.07 skol1( X ) ) }.
% 13.61/14.07 parent1[0]: (52) {G0,W2,D2,L1,V0,M1} I { lower_bounded_relstr( skol14 ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := skol14
% 13.61/14.07 end
% 13.61/14.07 substitution1:
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 resolution: (38845) {G1,W6,D3,L1,V0,M1} { relstr_element_smaller( skol14,
% 13.61/14.07 the_carrier( skol14 ), skol1( skol14 ) ) }.
% 13.61/14.07 parent0[0]: (38844) {G1,W8,D3,L2,V0,M2} { ! rel_str( skol14 ),
% 13.61/14.07 relstr_element_smaller( skol14, the_carrier( skol14 ), skol1( skol14 ) )
% 13.61/14.07 }.
% 13.61/14.07 parent1[0]: (53) {G0,W2,D2,L1,V0,M1} I { rel_str( skol14 ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 end
% 13.61/14.07 substitution1:
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (67) {G1,W6,D3,L1,V0,M1} R(3,52);r(53) {
% 13.61/14.07 relstr_element_smaller( skol14, the_carrier( skol14 ), skol1( skol14 ) )
% 13.61/14.07 }.
% 13.61/14.07 parent0: (38845) {G1,W6,D3,L1,V0,M1} { relstr_element_smaller( skol14,
% 13.61/14.07 the_carrier( skol14 ), skol1( skol14 ) ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 resolution: (38846) {G1,W2,D2,L1,V0,M1} { one_sorted_str( skol14 ) }.
% 13.61/14.07 parent0[0]: (12) {G0,W4,D2,L2,V1,M2} I { ! rel_str( X ), one_sorted_str( X
% 13.61/14.07 ) }.
% 13.61/14.07 parent1[0]: (53) {G0,W2,D2,L1,V0,M1} I { rel_str( skol14 ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := skol14
% 13.61/14.07 end
% 13.61/14.07 substitution1:
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (69) {G1,W2,D2,L1,V0,M1} R(12,53) { one_sorted_str( skol14 )
% 13.61/14.07 }.
% 13.61/14.07 parent0: (38846) {G1,W2,D2,L1,V0,M1} { one_sorted_str( skol14 ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 resolution: (38847) {G1,W22,D3,L6,V2,M6} { ! rel_str( X ), ! element(
% 13.61/14.07 skol1( X ), the_carrier( X ) ), ! element( Y, the_carrier( X ) ), alpha1
% 13.61/14.07 ( X, skol1( X ), the_carrier( X ), Y ), ! rel_str( X ), !
% 13.61/14.07 lower_bounded_relstr( X ) }.
% 13.61/14.07 parent0[2]: (5) {G0,W19,D3,L5,V4,M5} I { ! rel_str( X ), ! element( Y,
% 13.61/14.07 the_carrier( X ) ), ! relstr_element_smaller( X, Z, Y ), ! element( T,
% 13.61/14.07 the_carrier( X ) ), alpha1( X, Y, Z, T ) }.
% 13.61/14.07 parent1[2]: (3) {G0,W10,D3,L3,V1,M3} I { ! rel_str( X ), !
% 13.61/14.07 lower_bounded_relstr( X ), relstr_element_smaller( X, the_carrier( X ),
% 13.61/14.07 skol1( X ) ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := skol1( X )
% 13.61/14.07 Z := the_carrier( X )
% 13.61/14.07 T := Y
% 13.61/14.07 end
% 13.61/14.07 substitution1:
% 13.61/14.07 X := X
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 resolution: (38851) {G1,W21,D3,L7,V2,M7} { ! rel_str( X ), ! element( Y,
% 13.61/14.07 the_carrier( X ) ), alpha1( X, skol1( X ), the_carrier( X ), Y ), !
% 13.61/14.07 rel_str( X ), ! lower_bounded_relstr( X ), ! rel_str( X ), !
% 13.61/14.07 lower_bounded_relstr( X ) }.
% 13.61/14.07 parent0[1]: (38847) {G1,W22,D3,L6,V2,M6} { ! rel_str( X ), ! element(
% 13.61/14.07 skol1( X ), the_carrier( X ) ), ! element( Y, the_carrier( X ) ), alpha1
% 13.61/14.07 ( X, skol1( X ), the_carrier( X ), Y ), ! rel_str( X ), !
% 13.61/14.07 lower_bounded_relstr( X ) }.
% 13.61/14.07 parent1[2]: (2) {G0,W9,D3,L3,V1,M3} I { ! rel_str( X ), !
% 13.61/14.07 lower_bounded_relstr( X ), element( skol1( X ), the_carrier( X ) ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := Y
% 13.61/14.07 end
% 13.61/14.07 substitution1:
% 13.61/14.07 X := X
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 factor: (38852) {G1,W19,D3,L6,V2,M6} { ! rel_str( X ), ! element( Y,
% 13.61/14.07 the_carrier( X ) ), alpha1( X, skol1( X ), the_carrier( X ), Y ), !
% 13.61/14.07 lower_bounded_relstr( X ), ! rel_str( X ), ! lower_bounded_relstr( X )
% 13.61/14.07 }.
% 13.61/14.07 parent0[0, 3]: (38851) {G1,W21,D3,L7,V2,M7} { ! rel_str( X ), ! element( Y
% 13.61/14.07 , the_carrier( X ) ), alpha1( X, skol1( X ), the_carrier( X ), Y ), !
% 13.61/14.07 rel_str( X ), ! lower_bounded_relstr( X ), ! rel_str( X ), !
% 13.61/14.07 lower_bounded_relstr( X ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := Y
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 factor: (38853) {G1,W17,D3,L5,V2,M5} { ! rel_str( X ), ! element( Y,
% 13.61/14.07 the_carrier( X ) ), alpha1( X, skol1( X ), the_carrier( X ), Y ), !
% 13.61/14.07 lower_bounded_relstr( X ), ! lower_bounded_relstr( X ) }.
% 13.61/14.07 parent0[0, 4]: (38852) {G1,W19,D3,L6,V2,M6} { ! rel_str( X ), ! element( Y
% 13.61/14.07 , the_carrier( X ) ), alpha1( X, skol1( X ), the_carrier( X ), Y ), !
% 13.61/14.07 lower_bounded_relstr( X ), ! rel_str( X ), ! lower_bounded_relstr( X )
% 13.61/14.07 }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := Y
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 factor: (38854) {G1,W15,D3,L4,V2,M4} { ! rel_str( X ), ! element( Y,
% 13.61/14.07 the_carrier( X ) ), alpha1( X, skol1( X ), the_carrier( X ), Y ), !
% 13.61/14.07 lower_bounded_relstr( X ) }.
% 13.61/14.07 parent0[3, 4]: (38853) {G1,W17,D3,L5,V2,M5} { ! rel_str( X ), ! element( Y
% 13.61/14.07 , the_carrier( X ) ), alpha1( X, skol1( X ), the_carrier( X ), Y ), !
% 13.61/14.07 lower_bounded_relstr( X ), ! lower_bounded_relstr( X ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := Y
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (95) {G1,W15,D3,L4,V2,M4} R(5,3);f;r(2) { ! rel_str( X ), !
% 13.61/14.07 element( Y, the_carrier( X ) ), alpha1( X, skol1( X ), the_carrier( X ),
% 13.61/14.07 Y ), ! lower_bounded_relstr( X ) }.
% 13.61/14.07 parent0: (38854) {G1,W15,D3,L4,V2,M4} { ! rel_str( X ), ! element( Y,
% 13.61/14.07 the_carrier( X ) ), alpha1( X, skol1( X ), the_carrier( X ), Y ), !
% 13.61/14.07 lower_bounded_relstr( X ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := Y
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 1 ==> 1
% 13.61/14.07 2 ==> 2
% 13.61/14.07 3 ==> 3
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 resolution: (38856) {G1,W16,D3,L4,V2,M4} { ! rel_str( skol14 ), ! element
% 13.61/14.07 ( X, the_carrier( skol14 ) ), ! relstr_element_smaller( skol14, Y, X ),
% 13.61/14.07 alpha1( skol14, X, Y, skol1( skol14 ) ) }.
% 13.61/14.07 parent0[3]: (5) {G0,W19,D3,L5,V4,M5} I { ! rel_str( X ), ! element( Y,
% 13.61/14.07 the_carrier( X ) ), ! relstr_element_smaller( X, Z, Y ), ! element( T,
% 13.61/14.07 the_carrier( X ) ), alpha1( X, Y, Z, T ) }.
% 13.61/14.07 parent1[0]: (64) {G1,W5,D3,L1,V0,M1} R(2,52);r(53) { element( skol1( skol14
% 13.61/14.07 ), the_carrier( skol14 ) ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := skol14
% 13.61/14.07 Y := X
% 13.61/14.07 Z := Y
% 13.61/14.07 T := skol1( skol14 )
% 13.61/14.07 end
% 13.61/14.07 substitution1:
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 resolution: (38858) {G1,W14,D3,L3,V2,M3} { ! element( X, the_carrier(
% 13.61/14.07 skol14 ) ), ! relstr_element_smaller( skol14, Y, X ), alpha1( skol14, X,
% 13.61/14.07 Y, skol1( skol14 ) ) }.
% 13.61/14.07 parent0[0]: (38856) {G1,W16,D3,L4,V2,M4} { ! rel_str( skol14 ), ! element
% 13.61/14.07 ( X, the_carrier( skol14 ) ), ! relstr_element_smaller( skol14, Y, X ),
% 13.61/14.07 alpha1( skol14, X, Y, skol1( skol14 ) ) }.
% 13.61/14.07 parent1[0]: (53) {G0,W2,D2,L1,V0,M1} I { rel_str( skol14 ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := Y
% 13.61/14.07 end
% 13.61/14.07 substitution1:
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 subsumption: (140) {G2,W14,D3,L3,V2,M3} R(64,5);r(53) { ! element( X,
% 13.61/14.07 the_carrier( skol14 ) ), ! relstr_element_smaller( skol14, Y, X ), alpha1
% 13.61/14.07 ( skol14, X, Y, skol1( skol14 ) ) }.
% 13.61/14.07 parent0: (38858) {G1,W14,D3,L3,V2,M3} { ! element( X, the_carrier( skol14
% 13.61/14.07 ) ), ! relstr_element_smaller( skol14, Y, X ), alpha1( skol14, X, Y,
% 13.61/14.07 skol1( skol14 ) ) }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := X
% 13.61/14.07 Y := Y
% 13.61/14.07 end
% 13.61/14.07 permutation0:
% 13.61/14.07 0 ==> 0
% 13.61/14.07 1 ==> 1
% 13.61/14.07 2 ==> 2
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 resolution: (38859) {G1,W5,D3,L2,V0,M2} { empty_carrier( skol14 ), ! empty
% 13.61/14.07 ( the_carrier( skol14 ) ) }.
% 13.61/14.07 parent0[1]: (16) {G0,W7,D3,L3,V1,M3} I { empty_carrier( X ), !
% 13.61/14.07 one_sorted_str( X ), ! empty( the_carrier( X ) ) }.
% 13.61/14.07 parent1[0]: (69) {G1,W2,D2,L1,V0,M1} R(12,53) { one_sorted_str( skol14 )
% 13.61/14.07 }.
% 13.61/14.07 substitution0:
% 13.61/14.07 X := skol14
% 13.61/14.07 end
% 13.61/14.07 substitution1:
% 13.61/14.07 end
% 13.61/14.07
% 13.61/14.07 resolution: (38860) {G1,W3,D3,L1,V0,M1} { ! empty( the_carrier( skol14 ) )
% 13.61/14.07 }.
% 13.61/14.07 parent0[0]: (50) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol14 ) }.
% 13.69/14.07 parent1[0]: (38859) {G1,W5,D3,L2,V0,M2} { empty_carrier( skol14 ), ! empty
% 13.69/14.07 ( the_carrier( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (171) {G2,W3,D3,L1,V0,M1} R(16,69);r(50) { ! empty(
% 13.69/14.07 the_carrier( skol14 ) ) }.
% 13.69/14.07 parent0: (38860) {G1,W3,D3,L1,V0,M1} { ! empty( the_carrier( skol14 ) )
% 13.69/14.07 }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 0
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38861) {G1,W13,D3,L4,V2,M4} { ! rel_str( skol14 ), ! element
% 13.69/14.07 ( X, the_carrier( skol14 ) ), ! alpha2( skol14, Y, X ),
% 13.69/14.07 ex_sup_of_relstr_set( skol14, Y ) }.
% 13.69/14.07 parent0[0]: (26) {G0,W15,D3,L5,V3,M5} I { ! antisymmetric_relstr( X ), !
% 13.69/14.07 rel_str( X ), ! element( Z, the_carrier( X ) ), ! alpha2( X, Y, Z ),
% 13.69/14.07 ex_sup_of_relstr_set( X, Y ) }.
% 13.69/14.07 parent1[0]: (51) {G0,W2,D2,L1,V0,M1} I { antisymmetric_relstr( skol14 ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := skol14
% 13.69/14.07 Y := Y
% 13.69/14.07 Z := X
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38862) {G1,W11,D3,L3,V2,M3} { ! element( X, the_carrier(
% 13.69/14.07 skol14 ) ), ! alpha2( skol14, Y, X ), ex_sup_of_relstr_set( skol14, Y )
% 13.69/14.07 }.
% 13.69/14.07 parent0[0]: (38861) {G1,W13,D3,L4,V2,M4} { ! rel_str( skol14 ), ! element
% 13.69/14.07 ( X, the_carrier( skol14 ) ), ! alpha2( skol14, Y, X ),
% 13.69/14.07 ex_sup_of_relstr_set( skol14, Y ) }.
% 13.69/14.07 parent1[0]: (53) {G0,W2,D2,L1,V0,M1} I { rel_str( skol14 ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 Y := Y
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (230) {G1,W11,D3,L3,V2,M3} R(26,51);r(53) { ! element( X,
% 13.69/14.07 the_carrier( skol14 ) ), ! alpha2( skol14, Y, X ), ex_sup_of_relstr_set(
% 13.69/14.07 skol14, Y ) }.
% 13.69/14.07 parent0: (38862) {G1,W11,D3,L3,V2,M3} { ! element( X, the_carrier( skol14
% 13.69/14.07 ) ), ! alpha2( skol14, Y, X ), ex_sup_of_relstr_set( skol14, Y ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 Y := Y
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 0
% 13.69/14.07 1 ==> 1
% 13.69/14.07 2 ==> 2
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38863) {G1,W14,D2,L4,V4,M4} { ! alpha1( X, Y, Z, T ), related
% 13.69/14.07 ( X, Y, T ), ! element( T, Z ), empty( Z ) }.
% 13.69/14.07 parent0[1]: (8) {G0,W12,D2,L3,V4,M3} I { ! alpha1( X, Y, Z, T ), ! in( T, Z
% 13.69/14.07 ), related( X, Y, T ) }.
% 13.69/14.07 parent1[2]: (49) {G0,W8,D2,L3,V2,M3} I { ! element( X, Y ), empty( Y ), in
% 13.69/14.07 ( X, Y ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 Y := Y
% 13.69/14.07 Z := Z
% 13.69/14.07 T := T
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 X := T
% 13.69/14.07 Y := Z
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (307) {G1,W14,D2,L4,V4,M4} R(49,8) { ! element( X, Y ), empty
% 13.69/14.07 ( Y ), ! alpha1( Z, T, Y, X ), related( Z, T, X ) }.
% 13.69/14.07 parent0: (38863) {G1,W14,D2,L4,V4,M4} { ! alpha1( X, Y, Z, T ), related( X
% 13.69/14.07 , Y, T ), ! element( T, Z ), empty( Z ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := Z
% 13.69/14.07 Y := T
% 13.69/14.07 Z := Y
% 13.69/14.07 T := X
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 2
% 13.69/14.07 1 ==> 3
% 13.69/14.07 2 ==> 0
% 13.69/14.07 3 ==> 1
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38864) {G1,W8,D3,L2,V0,M2} { empty( the_carrier( skol14 ) ),
% 13.69/14.07 in( skol1( skol14 ), the_carrier( skol14 ) ) }.
% 13.69/14.07 parent0[0]: (49) {G0,W8,D2,L3,V2,M3} I { ! element( X, Y ), empty( Y ), in
% 13.69/14.07 ( X, Y ) }.
% 13.69/14.07 parent1[0]: (64) {G1,W5,D3,L1,V0,M1} R(2,52);r(53) { element( skol1( skol14
% 13.69/14.07 ), the_carrier( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := skol1( skol14 )
% 13.69/14.07 Y := the_carrier( skol14 )
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38865) {G2,W5,D3,L1,V0,M1} { in( skol1( skol14 ), the_carrier
% 13.69/14.07 ( skol14 ) ) }.
% 13.69/14.07 parent0[0]: (171) {G2,W3,D3,L1,V0,M1} R(16,69);r(50) { ! empty( the_carrier
% 13.69/14.07 ( skol14 ) ) }.
% 13.69/14.07 parent1[0]: (38864) {G1,W8,D3,L2,V0,M2} { empty( the_carrier( skol14 ) ),
% 13.69/14.07 in( skol1( skol14 ), the_carrier( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (308) {G3,W5,D3,L1,V0,M1} R(49,64);r(171) { in( skol1( skol14
% 13.69/14.07 ), the_carrier( skol14 ) ) }.
% 13.69/14.07 parent0: (38865) {G2,W5,D3,L1,V0,M1} { in( skol1( skol14 ), the_carrier(
% 13.69/14.07 skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 0
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38866) {G1,W12,D3,L2,V2,M2} { ! alpha1( X, Y, the_carrier(
% 13.69/14.07 skol14 ), skol1( skol14 ) ), related( X, Y, skol1( skol14 ) ) }.
% 13.69/14.07 parent0[1]: (8) {G0,W12,D2,L3,V4,M3} I { ! alpha1( X, Y, Z, T ), ! in( T, Z
% 13.69/14.07 ), related( X, Y, T ) }.
% 13.69/14.07 parent1[0]: (308) {G3,W5,D3,L1,V0,M1} R(49,64);r(171) { in( skol1( skol14 )
% 13.69/14.07 , the_carrier( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 Y := Y
% 13.69/14.07 Z := the_carrier( skol14 )
% 13.69/14.07 T := skol1( skol14 )
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (432) {G4,W12,D3,L2,V2,M2} R(308,8) { ! alpha1( X, Y,
% 13.69/14.07 the_carrier( skol14 ), skol1( skol14 ) ), related( X, Y, skol1( skol14 )
% 13.69/14.07 ) }.
% 13.69/14.07 parent0: (38866) {G1,W12,D3,L2,V2,M2} { ! alpha1( X, Y, the_carrier(
% 13.69/14.07 skol14 ), skol1( skol14 ) ), related( X, Y, skol1( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 Y := Y
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 0
% 13.69/14.07 1 ==> 1
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38867) {G1,W11,D3,L2,V3,M2} { alpha4( X, Y, Z ), ! related( X
% 13.69/14.07 , Z, skol11( X, Y, Z ) ) }.
% 13.69/14.07 parent0[0]: (32) {G0,W12,D3,L2,V3,M2} I { ! alpha6( X, Y, Z, skol11( X, Y,
% 13.69/14.07 Z ) ), alpha4( X, Y, Z ) }.
% 13.69/14.07 parent1[1]: (35) {G0,W9,D2,L2,V4,M2} I { ! related( X, Z, T ), alpha6( X, Y
% 13.69/14.07 , Z, T ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 Y := Y
% 13.69/14.07 Z := Z
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 X := X
% 13.69/14.07 Y := Y
% 13.69/14.07 Z := Z
% 13.69/14.07 T := skol11( X, Y, Z )
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (486) {G1,W11,D3,L2,V3,M2} R(35,32) { ! related( X, Y, skol11
% 13.69/14.07 ( X, Z, Y ) ), alpha4( X, Z, Y ) }.
% 13.69/14.07 parent0: (38867) {G1,W11,D3,L2,V3,M2} { alpha4( X, Y, Z ), ! related( X, Z
% 13.69/14.07 , skol11( X, Y, Z ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 Y := Z
% 13.69/14.07 Z := Y
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 1
% 13.69/14.07 1 ==> 0
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38868) {G1,W12,D3,L4,V1,M4} { ! antisymmetric_relstr( skol14
% 13.69/14.07 ), ! rel_str( skol14 ), ! alpha3( skol14, X, skol1( skol14 ) ),
% 13.69/14.07 ex_inf_of_relstr_set( skol14, X ) }.
% 13.69/14.07 parent0[2]: (38) {G0,W15,D3,L5,V3,M5} I { ! antisymmetric_relstr( X ), !
% 13.69/14.07 rel_str( X ), ! element( Z, the_carrier( X ) ), ! alpha3( X, Y, Z ),
% 13.69/14.07 ex_inf_of_relstr_set( X, Y ) }.
% 13.69/14.07 parent1[0]: (64) {G1,W5,D3,L1,V0,M1} R(2,52);r(53) { element( skol1( skol14
% 13.69/14.07 ), the_carrier( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := skol14
% 13.69/14.07 Y := X
% 13.69/14.07 Z := skol1( skol14 )
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38869) {G1,W10,D3,L3,V1,M3} { ! rel_str( skol14 ), ! alpha3(
% 13.69/14.07 skol14, X, skol1( skol14 ) ), ex_inf_of_relstr_set( skol14, X ) }.
% 13.69/14.07 parent0[0]: (38868) {G1,W12,D3,L4,V1,M4} { ! antisymmetric_relstr( skol14
% 13.69/14.07 ), ! rel_str( skol14 ), ! alpha3( skol14, X, skol1( skol14 ) ),
% 13.69/14.07 ex_inf_of_relstr_set( skol14, X ) }.
% 13.69/14.07 parent1[0]: (51) {G0,W2,D2,L1,V0,M1} I { antisymmetric_relstr( skol14 ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (616) {G2,W10,D3,L3,V1,M3} R(38,64);r(51) { ! rel_str( skol14
% 13.69/14.07 ), ! alpha3( skol14, X, skol1( skol14 ) ), ex_inf_of_relstr_set( skol14
% 13.69/14.07 , X ) }.
% 13.69/14.07 parent0: (38869) {G1,W10,D3,L3,V1,M3} { ! rel_str( skol14 ), ! alpha3(
% 13.69/14.07 skol14, X, skol1( skol14 ) ), ex_inf_of_relstr_set( skol14, X ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 0
% 13.69/14.07 1 ==> 1
% 13.69/14.07 2 ==> 2
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38870) {G1,W11,D3,L2,V3,M2} { alpha5( X, Y, Z ),
% 13.69/14.07 relstr_element_smaller( X, Y, skol13( X, Y, Z ) ) }.
% 13.69/14.07 parent0[0]: (44) {G0,W12,D3,L2,V3,M2} I { ! alpha7( X, Y, Z, skol13( X, Y,
% 13.69/14.07 Z ) ), alpha5( X, Y, Z ) }.
% 13.69/14.07 parent1[1]: (46) {G0,W9,D2,L2,V4,M2} I { relstr_element_smaller( X, Y, T )
% 13.69/14.07 , alpha7( X, Y, Z, T ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 Y := Y
% 13.69/14.07 Z := Z
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 X := X
% 13.69/14.07 Y := Y
% 13.69/14.07 Z := Z
% 13.69/14.07 T := skol13( X, Y, Z )
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (855) {G1,W11,D3,L2,V3,M2} R(46,44) { relstr_element_smaller(
% 13.69/14.07 X, Y, skol13( X, Y, Z ) ), alpha5( X, Y, Z ) }.
% 13.69/14.07 parent0: (38870) {G1,W11,D3,L2,V3,M2} { alpha5( X, Y, Z ),
% 13.69/14.07 relstr_element_smaller( X, Y, skol13( X, Y, Z ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 Y := Y
% 13.69/14.07 Z := Z
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 1
% 13.69/14.07 1 ==> 0
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38871) {G1,W11,D3,L2,V3,M2} { alpha5( X, Y, Z ), ! related( X
% 13.69/14.07 , skol13( X, Y, Z ), Z ) }.
% 13.69/14.07 parent0[0]: (44) {G0,W12,D3,L2,V3,M2} I { ! alpha7( X, Y, Z, skol13( X, Y,
% 13.69/14.07 Z ) ), alpha5( X, Y, Z ) }.
% 13.69/14.07 parent1[1]: (47) {G0,W9,D2,L2,V4,M2} I { ! related( X, T, Z ), alpha7( X, Y
% 13.69/14.07 , Z, T ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 Y := Y
% 13.69/14.07 Z := Z
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 X := X
% 13.69/14.07 Y := Y
% 13.69/14.07 Z := Z
% 13.69/14.07 T := skol13( X, Y, Z )
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (872) {G1,W11,D3,L2,V3,M2} R(47,44) { ! related( X, skol13( X
% 13.69/14.07 , Y, Z ), Z ), alpha5( X, Y, Z ) }.
% 13.69/14.07 parent0: (38871) {G1,W11,D3,L2,V3,M2} { alpha5( X, Y, Z ), ! related( X,
% 13.69/14.07 skol13( X, Y, Z ), Z ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 Y := Y
% 13.69/14.07 Z := Z
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 1
% 13.69/14.07 1 ==> 0
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38872) {G1,W7,D3,L2,V0,M2} { ! rel_str( skol14 ),
% 13.69/14.07 relstr_set_smaller( skol14, empty_set, skol1( skol14 ) ) }.
% 13.69/14.07 parent0[1]: (56) {G0,W10,D3,L3,V2,M3} I { ! rel_str( X ), ! element( Y,
% 13.69/14.07 the_carrier( X ) ), relstr_set_smaller( X, empty_set, Y ) }.
% 13.69/14.07 parent1[0]: (64) {G1,W5,D3,L1,V0,M1} R(2,52);r(53) { element( skol1( skol14
% 13.69/14.07 ), the_carrier( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := skol14
% 13.69/14.07 Y := skol1( skol14 )
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38873) {G1,W5,D3,L1,V0,M1} { relstr_set_smaller( skol14,
% 13.69/14.07 empty_set, skol1( skol14 ) ) }.
% 13.69/14.07 parent0[0]: (38872) {G1,W7,D3,L2,V0,M2} { ! rel_str( skol14 ),
% 13.69/14.07 relstr_set_smaller( skol14, empty_set, skol1( skol14 ) ) }.
% 13.69/14.07 parent1[0]: (53) {G0,W2,D2,L1,V0,M1} I { rel_str( skol14 ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (907) {G2,W5,D3,L1,V0,M1} R(56,64);r(53) { relstr_set_smaller
% 13.69/14.07 ( skol14, empty_set, skol1( skol14 ) ) }.
% 13.69/14.07 parent0: (38873) {G1,W5,D3,L1,V0,M1} { relstr_set_smaller( skol14,
% 13.69/14.07 empty_set, skol1( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 0
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38874) {G1,W10,D3,L2,V0,M2} { ! alpha4( skol14, empty_set,
% 13.69/14.07 skol1( skol14 ) ), alpha2( skol14, empty_set, skol1( skol14 ) ) }.
% 13.69/14.07 parent0[0]: (29) {G0,W12,D2,L3,V3,M3} I { ! relstr_set_smaller( X, Y, Z ),
% 13.69/14.07 ! alpha4( X, Y, Z ), alpha2( X, Y, Z ) }.
% 13.69/14.07 parent1[0]: (907) {G2,W5,D3,L1,V0,M1} R(56,64);r(53) { relstr_set_smaller(
% 13.69/14.07 skol14, empty_set, skol1( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := skol14
% 13.69/14.07 Y := empty_set
% 13.69/14.07 Z := skol1( skol14 )
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (922) {G3,W10,D3,L2,V0,M2} R(907,29) { ! alpha4( skol14,
% 13.69/14.07 empty_set, skol1( skol14 ) ), alpha2( skol14, empty_set, skol1( skol14 )
% 13.69/14.07 ) }.
% 13.69/14.07 parent0: (38874) {G1,W10,D3,L2,V0,M2} { ! alpha4( skol14, empty_set, skol1
% 13.69/14.07 ( skol14 ) ), alpha2( skol14, empty_set, skol1( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 0
% 13.69/14.07 1 ==> 1
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38875) {G1,W13,D3,L3,V1,M3} { ! rel_str( skol14 ), ! element
% 13.69/14.07 ( X, the_carrier( skol14 ) ), alpha1( skol14, skol1( skol14 ),
% 13.69/14.07 the_carrier( skol14 ), X ) }.
% 13.69/14.07 parent0[3]: (95) {G1,W15,D3,L4,V2,M4} R(5,3);f;r(2) { ! rel_str( X ), !
% 13.69/14.07 element( Y, the_carrier( X ) ), alpha1( X, skol1( X ), the_carrier( X ),
% 13.69/14.07 Y ), ! lower_bounded_relstr( X ) }.
% 13.69/14.07 parent1[0]: (52) {G0,W2,D2,L1,V0,M1} I { lower_bounded_relstr( skol14 ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := skol14
% 13.69/14.07 Y := X
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38876) {G1,W11,D3,L2,V1,M2} { ! element( X, the_carrier(
% 13.69/14.07 skol14 ) ), alpha1( skol14, skol1( skol14 ), the_carrier( skol14 ), X )
% 13.69/14.07 }.
% 13.69/14.07 parent0[0]: (38875) {G1,W13,D3,L3,V1,M3} { ! rel_str( skol14 ), ! element
% 13.69/14.07 ( X, the_carrier( skol14 ) ), alpha1( skol14, skol1( skol14 ),
% 13.69/14.07 the_carrier( skol14 ), X ) }.
% 13.69/14.07 parent1[0]: (53) {G0,W2,D2,L1,V0,M1} I { rel_str( skol14 ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (1940) {G2,W11,D3,L2,V1,M2} R(95,52);r(53) { ! element( X,
% 13.69/14.07 the_carrier( skol14 ) ), alpha1( skol14, skol1( skol14 ), the_carrier(
% 13.69/14.07 skol14 ), X ) }.
% 13.69/14.07 parent0: (38876) {G1,W11,D3,L2,V1,M2} { ! element( X, the_carrier( skol14
% 13.69/14.07 ) ), alpha1( skol14, skol1( skol14 ), the_carrier( skol14 ), X ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 0
% 13.69/14.07 1 ==> 1
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38877) {G2,W13,D3,L3,V0,M3} { ! element( skol1( skol14 ),
% 13.69/14.07 the_carrier( skol14 ) ), ex_sup_of_relstr_set( skol14, empty_set ), !
% 13.69/14.07 alpha4( skol14, empty_set, skol1( skol14 ) ) }.
% 13.69/14.07 parent0[1]: (230) {G1,W11,D3,L3,V2,M3} R(26,51);r(53) { ! element( X,
% 13.69/14.07 the_carrier( skol14 ) ), ! alpha2( skol14, Y, X ), ex_sup_of_relstr_set(
% 13.69/14.07 skol14, Y ) }.
% 13.69/14.07 parent1[1]: (922) {G3,W10,D3,L2,V0,M2} R(907,29) { ! alpha4( skol14,
% 13.69/14.07 empty_set, skol1( skol14 ) ), alpha2( skol14, empty_set, skol1( skol14 )
% 13.69/14.07 ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := skol1( skol14 )
% 13.69/14.07 Y := empty_set
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38878) {G2,W8,D3,L2,V0,M2} { ex_sup_of_relstr_set( skol14,
% 13.69/14.07 empty_set ), ! alpha4( skol14, empty_set, skol1( skol14 ) ) }.
% 13.69/14.07 parent0[0]: (38877) {G2,W13,D3,L3,V0,M3} { ! element( skol1( skol14 ),
% 13.69/14.07 the_carrier( skol14 ) ), ex_sup_of_relstr_set( skol14, empty_set ), !
% 13.69/14.07 alpha4( skol14, empty_set, skol1( skol14 ) ) }.
% 13.69/14.07 parent1[0]: (64) {G1,W5,D3,L1,V0,M1} R(2,52);r(53) { element( skol1( skol14
% 13.69/14.07 ), the_carrier( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (17251) {G4,W8,D3,L2,V0,M2} R(922,230);r(64) { ! alpha4(
% 13.69/14.07 skol14, empty_set, skol1( skol14 ) ), ex_sup_of_relstr_set( skol14,
% 13.69/14.07 empty_set ) }.
% 13.69/14.07 parent0: (38878) {G2,W8,D3,L2,V0,M2} { ex_sup_of_relstr_set( skol14,
% 13.69/14.07 empty_set ), ! alpha4( skol14, empty_set, skol1( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 1
% 13.69/14.07 1 ==> 0
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38879) {G1,W10,D3,L2,V2,M2} { ex_sup_of_relstr_set( skol14,
% 13.69/14.07 empty_set ), element( skol11( skol14, X, Y ), the_carrier( skol14 ) ) }.
% 13.69/14.07 parent0[0]: (17251) {G4,W8,D3,L2,V0,M2} R(922,230);r(64) { ! alpha4( skol14
% 13.69/14.07 , empty_set, skol1( skol14 ) ), ex_sup_of_relstr_set( skol14, empty_set )
% 13.69/14.07 }.
% 13.69/14.07 parent1[1]: (31) {G0,W11,D3,L2,V5,M2} I { element( skol11( X, T, U ),
% 13.69/14.07 the_carrier( X ) ), alpha4( X, Y, Z ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 X := skol14
% 13.69/14.07 Y := empty_set
% 13.69/14.07 Z := skol1( skol14 )
% 13.69/14.07 T := X
% 13.69/14.07 U := Y
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (17270) {G5,W10,D3,L2,V2,M2} R(17251,31) {
% 13.69/14.07 ex_sup_of_relstr_set( skol14, empty_set ), element( skol11( skol14, X, Y
% 13.69/14.07 ), the_carrier( skol14 ) ) }.
% 13.69/14.07 parent0: (38879) {G1,W10,D3,L2,V2,M2} { ex_sup_of_relstr_set( skol14,
% 13.69/14.07 empty_set ), element( skol11( skol14, X, Y ), the_carrier( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 Y := Y
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 0
% 13.69/14.07 1 ==> 1
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38880) {G1,W8,D3,L2,V1,M2} { ! alpha3( skol14, X, skol1(
% 13.69/14.07 skol14 ) ), ex_inf_of_relstr_set( skol14, X ) }.
% 13.69/14.07 parent0[0]: (616) {G2,W10,D3,L3,V1,M3} R(38,64);r(51) { ! rel_str( skol14 )
% 13.69/14.07 , ! alpha3( skol14, X, skol1( skol14 ) ), ex_inf_of_relstr_set( skol14, X
% 13.69/14.07 ) }.
% 13.69/14.07 parent1[0]: (53) {G0,W2,D2,L1,V0,M1} I { rel_str( skol14 ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (20061) {G3,W8,D3,L2,V1,M2} S(616);r(53) { ! alpha3( skol14, X
% 13.69/14.07 , skol1( skol14 ) ), ex_inf_of_relstr_set( skol14, X ) }.
% 13.69/14.07 parent0: (38880) {G1,W8,D3,L2,V1,M2} { ! alpha3( skol14, X, skol1( skol14
% 13.69/14.07 ) ), ex_inf_of_relstr_set( skol14, X ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 0
% 13.69/14.07 1 ==> 1
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38881) {G1,W9,D3,L2,V0,M2} { ! ex_sup_of_relstr_set( skol14,
% 13.69/14.07 empty_set ), ! alpha3( skol14, the_carrier( skol14 ), skol1( skol14 ) )
% 13.69/14.07 }.
% 13.69/14.07 parent0[1]: (54) {G0,W7,D3,L2,V0,M2} I { ! ex_sup_of_relstr_set( skol14,
% 13.69/14.07 empty_set ), ! ex_inf_of_relstr_set( skol14, the_carrier( skol14 ) ) }.
% 13.69/14.07 parent1[1]: (20061) {G3,W8,D3,L2,V1,M2} S(616);r(53) { ! alpha3( skol14, X
% 13.69/14.07 , skol1( skol14 ) ), ex_inf_of_relstr_set( skol14, X ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 X := the_carrier( skol14 )
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (20076) {G4,W9,D3,L2,V0,M2} R(20061,54) { ! alpha3( skol14,
% 13.69/14.07 the_carrier( skol14 ), skol1( skol14 ) ), ! ex_sup_of_relstr_set( skol14
% 13.69/14.07 , empty_set ) }.
% 13.69/14.07 parent0: (38881) {G1,W9,D3,L2,V0,M2} { ! ex_sup_of_relstr_set( skol14,
% 13.69/14.07 empty_set ), ! alpha3( skol14, the_carrier( skol14 ), skol1( skol14 ) )
% 13.69/14.07 }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 1
% 13.69/14.07 1 ==> 0
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38882) {G1,W15,D3,L3,V0,M3} { ! ex_sup_of_relstr_set( skol14
% 13.69/14.07 , empty_set ), ! relstr_element_smaller( skol14, the_carrier( skol14 ),
% 13.69/14.07 skol1( skol14 ) ), ! alpha5( skol14, the_carrier( skol14 ), skol1( skol14
% 13.69/14.07 ) ) }.
% 13.69/14.07 parent0[0]: (20076) {G4,W9,D3,L2,V0,M2} R(20061,54) { ! alpha3( skol14,
% 13.69/14.07 the_carrier( skol14 ), skol1( skol14 ) ), ! ex_sup_of_relstr_set( skol14
% 13.69/14.07 , empty_set ) }.
% 13.69/14.07 parent1[2]: (41) {G0,W12,D2,L3,V3,M3} I { ! relstr_element_smaller( X, Y, Z
% 13.69/14.07 ), ! alpha5( X, Y, Z ), alpha3( X, Y, Z ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 X := skol14
% 13.69/14.07 Y := the_carrier( skol14 )
% 13.69/14.07 Z := skol1( skol14 )
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38883) {G2,W9,D3,L2,V0,M2} { ! ex_sup_of_relstr_set( skol14,
% 13.69/14.07 empty_set ), ! alpha5( skol14, the_carrier( skol14 ), skol1( skol14 ) )
% 13.69/14.07 }.
% 13.69/14.07 parent0[1]: (38882) {G1,W15,D3,L3,V0,M3} { ! ex_sup_of_relstr_set( skol14
% 13.69/14.07 , empty_set ), ! relstr_element_smaller( skol14, the_carrier( skol14 ),
% 13.69/14.07 skol1( skol14 ) ), ! alpha5( skol14, the_carrier( skol14 ), skol1( skol14
% 13.69/14.07 ) ) }.
% 13.69/14.07 parent1[0]: (67) {G1,W6,D3,L1,V0,M1} R(3,52);r(53) { relstr_element_smaller
% 13.69/14.07 ( skol14, the_carrier( skol14 ), skol1( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (20154) {G5,W9,D3,L2,V0,M2} R(20076,41);r(67) { !
% 13.69/14.07 ex_sup_of_relstr_set( skol14, empty_set ), ! alpha5( skol14, the_carrier
% 13.69/14.07 ( skol14 ), skol1( skol14 ) ) }.
% 13.69/14.07 parent0: (38883) {G2,W9,D3,L2,V0,M2} { ! ex_sup_of_relstr_set( skol14,
% 13.69/14.07 empty_set ), ! alpha5( skol14, the_carrier( skol14 ), skol1( skol14 ) )
% 13.69/14.07 }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 0
% 13.69/14.07 1 ==> 1
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38884) {G1,W10,D3,L2,V2,M2} { ! ex_sup_of_relstr_set( skol14
% 13.69/14.07 , empty_set ), element( skol13( skol14, X, Y ), the_carrier( skol14 ) )
% 13.69/14.07 }.
% 13.69/14.07 parent0[1]: (20154) {G5,W9,D3,L2,V0,M2} R(20076,41);r(67) { !
% 13.69/14.07 ex_sup_of_relstr_set( skol14, empty_set ), ! alpha5( skol14, the_carrier
% 13.69/14.07 ( skol14 ), skol1( skol14 ) ) }.
% 13.69/14.07 parent1[1]: (43) {G0,W11,D3,L2,V5,M2} I { element( skol13( X, T, U ),
% 13.69/14.07 the_carrier( X ) ), alpha5( X, Y, Z ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 X := skol14
% 13.69/14.07 Y := the_carrier( skol14 )
% 13.69/14.07 Z := skol1( skol14 )
% 13.69/14.07 T := X
% 13.69/14.07 U := Y
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (20194) {G6,W10,D3,L2,V2,M2} R(20154,43) { !
% 13.69/14.07 ex_sup_of_relstr_set( skol14, empty_set ), element( skol13( skol14, X, Y
% 13.69/14.07 ), the_carrier( skol14 ) ) }.
% 13.69/14.07 parent0: (38884) {G1,W10,D3,L2,V2,M2} { ! ex_sup_of_relstr_set( skol14,
% 13.69/14.07 empty_set ), element( skol13( skol14, X, Y ), the_carrier( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 Y := Y
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 0
% 13.69/14.07 1 ==> 1
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38885) {G2,W16,D3,L4,V1,M4} { ! element( X, the_carrier(
% 13.69/14.07 skol14 ) ), empty( the_carrier( skol14 ) ), related( skol14, skol1(
% 13.69/14.07 skol14 ), X ), ! element( X, the_carrier( skol14 ) ) }.
% 13.69/14.07 parent0[2]: (307) {G1,W14,D2,L4,V4,M4} R(49,8) { ! element( X, Y ), empty(
% 13.69/14.07 Y ), ! alpha1( Z, T, Y, X ), related( Z, T, X ) }.
% 13.69/14.07 parent1[1]: (1940) {G2,W11,D3,L2,V1,M2} R(95,52);r(53) { ! element( X,
% 13.69/14.07 the_carrier( skol14 ) ), alpha1( skol14, skol1( skol14 ), the_carrier(
% 13.69/14.07 skol14 ), X ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 Y := the_carrier( skol14 )
% 13.69/14.07 Z := skol14
% 13.69/14.07 T := skol1( skol14 )
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 X := X
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38887) {G3,W13,D3,L3,V1,M3} { ! element( X, the_carrier(
% 13.69/14.07 skol14 ) ), related( skol14, skol1( skol14 ), X ), ! element( X,
% 13.69/14.07 the_carrier( skol14 ) ) }.
% 13.69/14.07 parent0[0]: (171) {G2,W3,D3,L1,V0,M1} R(16,69);r(50) { ! empty( the_carrier
% 13.69/14.07 ( skol14 ) ) }.
% 13.69/14.07 parent1[1]: (38885) {G2,W16,D3,L4,V1,M4} { ! element( X, the_carrier(
% 13.69/14.07 skol14 ) ), empty( the_carrier( skol14 ) ), related( skol14, skol1(
% 13.69/14.07 skol14 ), X ), ! element( X, the_carrier( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 X := X
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 factor: (38888) {G3,W9,D3,L2,V1,M2} { ! element( X, the_carrier( skol14 )
% 13.69/14.07 ), related( skol14, skol1( skol14 ), X ) }.
% 13.69/14.07 parent0[0, 2]: (38887) {G3,W13,D3,L3,V1,M3} { ! element( X, the_carrier(
% 13.69/14.07 skol14 ) ), related( skol14, skol1( skol14 ), X ), ! element( X,
% 13.69/14.07 the_carrier( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (30229) {G3,W9,D3,L2,V1,M2} R(1940,307);f;r(171) { ! element(
% 13.69/14.07 X, the_carrier( skol14 ) ), related( skol14, skol1( skol14 ), X ) }.
% 13.69/14.07 parent0: (38888) {G3,W9,D3,L2,V1,M2} { ! element( X, the_carrier( skol14 )
% 13.69/14.07 ), related( skol14, skol1( skol14 ), X ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 0
% 13.69/14.07 1 ==> 1
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38889) {G4,W11,D3,L2,V2,M2} { related( skol14, skol1( skol14
% 13.69/14.07 ), skol11( skol14, X, Y ) ), ex_sup_of_relstr_set( skol14, empty_set )
% 13.69/14.07 }.
% 13.69/14.07 parent0[0]: (30229) {G3,W9,D3,L2,V1,M2} R(1940,307);f;r(171) { ! element( X
% 13.69/14.07 , the_carrier( skol14 ) ), related( skol14, skol1( skol14 ), X ) }.
% 13.69/14.07 parent1[1]: (17270) {G5,W10,D3,L2,V2,M2} R(17251,31) { ex_sup_of_relstr_set
% 13.69/14.07 ( skol14, empty_set ), element( skol11( skol14, X, Y ), the_carrier(
% 13.69/14.07 skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := skol11( skol14, X, Y )
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 X := X
% 13.69/14.07 Y := Y
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (30257) {G6,W11,D3,L2,V2,M2} R(30229,17270) { related( skol14
% 13.69/14.07 , skol1( skol14 ), skol11( skol14, X, Y ) ), ex_sup_of_relstr_set( skol14
% 13.69/14.07 , empty_set ) }.
% 13.69/14.07 parent0: (38889) {G4,W11,D3,L2,V2,M2} { related( skol14, skol1( skol14 ),
% 13.69/14.07 skol11( skol14, X, Y ) ), ex_sup_of_relstr_set( skol14, empty_set ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 Y := Y
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 0
% 13.69/14.07 1 ==> 1
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38890) {G2,W8,D3,L2,V1,M2} { alpha4( skol14, X, skol1( skol14
% 13.69/14.07 ) ), ex_sup_of_relstr_set( skol14, empty_set ) }.
% 13.69/14.07 parent0[0]: (486) {G1,W11,D3,L2,V3,M2} R(35,32) { ! related( X, Y, skol11(
% 13.69/14.07 X, Z, Y ) ), alpha4( X, Z, Y ) }.
% 13.69/14.07 parent1[0]: (30257) {G6,W11,D3,L2,V2,M2} R(30229,17270) { related( skol14,
% 13.69/14.07 skol1( skol14 ), skol11( skol14, X, Y ) ), ex_sup_of_relstr_set( skol14,
% 13.69/14.07 empty_set ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := skol14
% 13.69/14.07 Y := skol1( skol14 )
% 13.69/14.07 Z := X
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 X := X
% 13.69/14.07 Y := skol1( skol14 )
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (30677) {G7,W8,D3,L2,V1,M2} R(30257,486) {
% 13.69/14.07 ex_sup_of_relstr_set( skol14, empty_set ), alpha4( skol14, X, skol1(
% 13.69/14.07 skol14 ) ) }.
% 13.69/14.07 parent0: (38890) {G2,W8,D3,L2,V1,M2} { alpha4( skol14, X, skol1( skol14 )
% 13.69/14.07 ), ex_sup_of_relstr_set( skol14, empty_set ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 1
% 13.69/14.07 1 ==> 0
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38891) {G5,W6,D2,L2,V0,M2} { ex_sup_of_relstr_set( skol14,
% 13.69/14.07 empty_set ), ex_sup_of_relstr_set( skol14, empty_set ) }.
% 13.69/14.07 parent0[0]: (17251) {G4,W8,D3,L2,V0,M2} R(922,230);r(64) { ! alpha4( skol14
% 13.69/14.07 , empty_set, skol1( skol14 ) ), ex_sup_of_relstr_set( skol14, empty_set )
% 13.69/14.07 }.
% 13.69/14.07 parent1[1]: (30677) {G7,W8,D3,L2,V1,M2} R(30257,486) { ex_sup_of_relstr_set
% 13.69/14.07 ( skol14, empty_set ), alpha4( skol14, X, skol1( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 X := empty_set
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 factor: (38892) {G5,W3,D2,L1,V0,M1} { ex_sup_of_relstr_set( skol14,
% 13.69/14.07 empty_set ) }.
% 13.69/14.07 parent0[0, 1]: (38891) {G5,W6,D2,L2,V0,M2} { ex_sup_of_relstr_set( skol14
% 13.69/14.07 , empty_set ), ex_sup_of_relstr_set( skol14, empty_set ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (30734) {G8,W3,D2,L1,V0,M1} R(30677,17251);f {
% 13.69/14.07 ex_sup_of_relstr_set( skol14, empty_set ) }.
% 13.69/14.07 parent0: (38892) {G5,W3,D2,L1,V0,M1} { ex_sup_of_relstr_set( skol14,
% 13.69/14.07 empty_set ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 0
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38893) {G7,W7,D3,L1,V2,M1} { element( skol13( skol14, X, Y )
% 13.69/14.07 , the_carrier( skol14 ) ) }.
% 13.69/14.07 parent0[0]: (20194) {G6,W10,D3,L2,V2,M2} R(20154,43) { !
% 13.69/14.07 ex_sup_of_relstr_set( skol14, empty_set ), element( skol13( skol14, X, Y
% 13.69/14.07 ), the_carrier( skol14 ) ) }.
% 13.69/14.07 parent1[0]: (30734) {G8,W3,D2,L1,V0,M1} R(30677,17251);f {
% 13.69/14.07 ex_sup_of_relstr_set( skol14, empty_set ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 Y := Y
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (30809) {G9,W7,D3,L1,V2,M1} R(30734,20194) { element( skol13(
% 13.69/14.07 skol14, X, Y ), the_carrier( skol14 ) ) }.
% 13.69/14.07 parent0: (38893) {G7,W7,D3,L1,V2,M1} { element( skol13( skol14, X, Y ),
% 13.69/14.07 the_carrier( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := X
% 13.69/14.07 Y := Y
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 0
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38894) {G6,W6,D3,L1,V0,M1} { ! alpha5( skol14, the_carrier(
% 13.69/14.07 skol14 ), skol1( skol14 ) ) }.
% 13.69/14.07 parent0[0]: (20154) {G5,W9,D3,L2,V0,M2} R(20076,41);r(67) { !
% 13.69/14.07 ex_sup_of_relstr_set( skol14, empty_set ), ! alpha5( skol14, the_carrier
% 13.69/14.07 ( skol14 ), skol1( skol14 ) ) }.
% 13.69/14.07 parent1[0]: (30734) {G8,W3,D2,L1,V0,M1} R(30677,17251);f {
% 13.69/14.07 ex_sup_of_relstr_set( skol14, empty_set ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (30810) {G9,W6,D3,L1,V0,M1} R(30734,20154) { ! alpha5( skol14
% 13.69/14.07 , the_carrier( skol14 ), skol1( skol14 ) ) }.
% 13.69/14.07 parent0: (38894) {G6,W6,D3,L1,V0,M1} { ! alpha5( skol14, the_carrier(
% 13.69/14.07 skol14 ), skol1( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 0
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38895) {G2,W10,D4,L1,V0,M1} { relstr_element_smaller( skol14
% 13.69/14.07 , the_carrier( skol14 ), skol13( skol14, the_carrier( skol14 ), skol1(
% 13.69/14.07 skol14 ) ) ) }.
% 13.69/14.07 parent0[0]: (30810) {G9,W6,D3,L1,V0,M1} R(30734,20154) { ! alpha5( skol14,
% 13.69/14.07 the_carrier( skol14 ), skol1( skol14 ) ) }.
% 13.69/14.07 parent1[1]: (855) {G1,W11,D3,L2,V3,M2} R(46,44) { relstr_element_smaller( X
% 13.69/14.07 , Y, skol13( X, Y, Z ) ), alpha5( X, Y, Z ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 X := skol14
% 13.69/14.07 Y := the_carrier( skol14 )
% 13.69/14.07 Z := skol1( skol14 )
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (31618) {G10,W10,D4,L1,V0,M1} R(30810,855) {
% 13.69/14.07 relstr_element_smaller( skol14, the_carrier( skol14 ), skol13( skol14,
% 13.69/14.07 the_carrier( skol14 ), skol1( skol14 ) ) ) }.
% 13.69/14.07 parent0: (38895) {G2,W10,D4,L1,V0,M1} { relstr_element_smaller( skol14,
% 13.69/14.07 the_carrier( skol14 ), skol13( skol14, the_carrier( skol14 ), skol1(
% 13.69/14.07 skol14 ) ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 0
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38896) {G2,W10,D4,L1,V0,M1} { ! related( skol14, skol13(
% 13.69/14.07 skol14, the_carrier( skol14 ), skol1( skol14 ) ), skol1( skol14 ) ) }.
% 13.69/14.07 parent0[0]: (30810) {G9,W6,D3,L1,V0,M1} R(30734,20154) { ! alpha5( skol14,
% 13.69/14.07 the_carrier( skol14 ), skol1( skol14 ) ) }.
% 13.69/14.07 parent1[1]: (872) {G1,W11,D3,L2,V3,M2} R(47,44) { ! related( X, skol13( X,
% 13.69/14.07 Y, Z ), Z ), alpha5( X, Y, Z ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 X := skol14
% 13.69/14.07 Y := the_carrier( skol14 )
% 13.69/14.07 Z := skol1( skol14 )
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (31619) {G10,W10,D4,L1,V0,M1} R(30810,872) { ! related( skol14
% 13.69/14.07 , skol13( skol14, the_carrier( skol14 ), skol1( skol14 ) ), skol1( skol14
% 13.69/14.07 ) ) }.
% 13.69/14.07 parent0: (38896) {G2,W10,D4,L1,V0,M1} { ! related( skol14, skol13( skol14
% 13.69/14.07 , the_carrier( skol14 ), skol1( skol14 ) ), skol1( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 0
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38897) {G3,W21,D4,L2,V0,M2} { ! element( skol13( skol14,
% 13.69/14.07 the_carrier( skol14 ), skol1( skol14 ) ), the_carrier( skol14 ) ), alpha1
% 13.69/14.07 ( skol14, skol13( skol14, the_carrier( skol14 ), skol1( skol14 ) ),
% 13.69/14.07 the_carrier( skol14 ), skol1( skol14 ) ) }.
% 13.69/14.07 parent0[1]: (140) {G2,W14,D3,L3,V2,M3} R(64,5);r(53) { ! element( X,
% 13.69/14.07 the_carrier( skol14 ) ), ! relstr_element_smaller( skol14, Y, X ), alpha1
% 13.69/14.07 ( skol14, X, Y, skol1( skol14 ) ) }.
% 13.69/14.07 parent1[0]: (31618) {G10,W10,D4,L1,V0,M1} R(30810,855) {
% 13.69/14.07 relstr_element_smaller( skol14, the_carrier( skol14 ), skol13( skol14,
% 13.69/14.07 the_carrier( skol14 ), skol1( skol14 ) ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 X := skol13( skol14, the_carrier( skol14 ), skol1( skol14 ) )
% 13.69/14.07 Y := the_carrier( skol14 )
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38898) {G4,W12,D4,L1,V0,M1} { alpha1( skol14, skol13( skol14
% 13.69/14.07 , the_carrier( skol14 ), skol1( skol14 ) ), the_carrier( skol14 ), skol1
% 13.69/14.07 ( skol14 ) ) }.
% 13.69/14.07 parent0[0]: (38897) {G3,W21,D4,L2,V0,M2} { ! element( skol13( skol14,
% 13.69/14.07 the_carrier( skol14 ), skol1( skol14 ) ), the_carrier( skol14 ) ), alpha1
% 13.69/14.07 ( skol14, skol13( skol14, the_carrier( skol14 ), skol1( skol14 ) ),
% 13.69/14.07 the_carrier( skol14 ), skol1( skol14 ) ) }.
% 13.69/14.07 parent1[0]: (30809) {G9,W7,D3,L1,V2,M1} R(30734,20194) { element( skol13(
% 13.69/14.07 skol14, X, Y ), the_carrier( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 X := the_carrier( skol14 )
% 13.69/14.07 Y := skol1( skol14 )
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (38704) {G11,W12,D4,L1,V0,M1} R(31618,140);r(30809) { alpha1(
% 13.69/14.07 skol14, skol13( skol14, the_carrier( skol14 ), skol1( skol14 ) ),
% 13.69/14.07 the_carrier( skol14 ), skol1( skol14 ) ) }.
% 13.69/14.07 parent0: (38898) {G4,W12,D4,L1,V0,M1} { alpha1( skol14, skol13( skol14,
% 13.69/14.07 the_carrier( skol14 ), skol1( skol14 ) ), the_carrier( skol14 ), skol1(
% 13.69/14.07 skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 0 ==> 0
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38899) {G5,W12,D4,L1,V0,M1} { ! alpha1( skol14, skol13(
% 13.69/14.07 skol14, the_carrier( skol14 ), skol1( skol14 ) ), the_carrier( skol14 ),
% 13.69/14.07 skol1( skol14 ) ) }.
% 13.69/14.07 parent0[0]: (31619) {G10,W10,D4,L1,V0,M1} R(30810,872) { ! related( skol14
% 13.69/14.07 , skol13( skol14, the_carrier( skol14 ), skol1( skol14 ) ), skol1( skol14
% 13.69/14.07 ) ) }.
% 13.69/14.07 parent1[1]: (432) {G4,W12,D3,L2,V2,M2} R(308,8) { ! alpha1( X, Y,
% 13.69/14.07 the_carrier( skol14 ), skol1( skol14 ) ), related( X, Y, skol1( skol14 )
% 13.69/14.07 ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 X := skol14
% 13.69/14.07 Y := skol13( skol14, the_carrier( skol14 ), skol1( skol14 ) )
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 resolution: (38900) {G6,W0,D0,L0,V0,M0} { }.
% 13.69/14.07 parent0[0]: (38899) {G5,W12,D4,L1,V0,M1} { ! alpha1( skol14, skol13(
% 13.69/14.07 skol14, the_carrier( skol14 ), skol1( skol14 ) ), the_carrier( skol14 ),
% 13.69/14.07 skol1( skol14 ) ) }.
% 13.69/14.07 parent1[0]: (38704) {G11,W12,D4,L1,V0,M1} R(31618,140);r(30809) { alpha1(
% 13.69/14.07 skol14, skol13( skol14, the_carrier( skol14 ), skol1( skol14 ) ),
% 13.69/14.07 the_carrier( skol14 ), skol1( skol14 ) ) }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 substitution1:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 subsumption: (38730) {G12,W0,D0,L0,V0,M0} R(31619,432);r(38704) { }.
% 13.69/14.07 parent0: (38900) {G6,W0,D0,L0,V0,M0} { }.
% 13.69/14.07 substitution0:
% 13.69/14.07 end
% 13.69/14.07 permutation0:
% 13.69/14.07 end
% 13.69/14.07
% 13.69/14.07 Proof check complete!
% 13.69/14.07
% 13.69/14.07 Memory use:
% 13.69/14.07
% 13.69/14.07 space for terms: 616052
% 13.69/14.07 space for clauses: 1410391
% 13.69/14.07
% 13.69/14.07
% 13.69/14.07 clauses generated: 714082
% 13.69/14.07 clauses kept: 38731
% 13.69/14.07 clauses selected: 2631
% 13.69/14.07 clauses deleted: 1245
% 13.69/14.07 clauses inuse deleted: 116
% 13.69/14.07
% 13.69/14.07 subsentry: 1420556
% 13.69/14.07 literals s-matched: 1013672
% 13.69/14.07 literals matched: 926774
% 13.69/14.07 full subsumption: 248512
% 13.69/14.07
% 13.69/14.07 checksum: 890739285
% 13.69/14.07
% 13.69/14.07
% 13.69/14.07 Bliksem ended
%------------------------------------------------------------------------------