TSTP Solution File: SEU243+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU243+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 07:11:49 EDT 2022
% Result : Theorem 5.39s 5.82s
% Output : Refutation 5.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU243+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jun 19 20:13:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.80/2.22 *** allocated 10000 integers for termspace/termends
% 1.80/2.22 *** allocated 10000 integers for clauses
% 1.80/2.22 *** allocated 10000 integers for justifications
% 1.80/2.22 Bliksem 1.12
% 1.80/2.22
% 1.80/2.22
% 1.80/2.22 Automatic Strategy Selection
% 1.80/2.22
% 1.80/2.22
% 1.80/2.22 Clauses:
% 1.80/2.22
% 1.80/2.22 { ! in( X, Y ), ! in( Y, X ) }.
% 1.80/2.22 { ! empty( X ), function( X ) }.
% 1.80/2.22 { ! relation( X ), ! empty( X ), ! function( X ), relation( X ) }.
% 1.80/2.22 { ! relation( X ), ! empty( X ), ! function( X ), function( X ) }.
% 1.80/2.22 { ! relation( X ), ! empty( X ), ! function( X ), one_to_one( X ) }.
% 1.80/2.22 { set_union2( X, Y ) = set_union2( Y, X ) }.
% 1.80/2.22 { ! relation( X ), ! well_founded_relation( X ), ! subset( Y,
% 1.80/2.22 relation_field( X ) ), ! alpha1( X, Y ) }.
% 1.80/2.22 { ! relation( X ), subset( skol1( X ), relation_field( X ) ),
% 1.80/2.22 well_founded_relation( X ) }.
% 1.80/2.22 { ! relation( X ), alpha1( X, skol1( X ) ), well_founded_relation( X ) }.
% 1.80/2.22 { ! alpha1( X, Y ), ! Y = empty_set }.
% 1.80/2.22 { ! alpha1( X, Y ), alpha3( X, Y ) }.
% 1.80/2.22 { Y = empty_set, ! alpha3( X, Y ), alpha1( X, Y ) }.
% 1.80/2.22 { ! alpha3( X, Y ), ! in( Z, Y ), ! disjoint( fiber( X, Z ), Y ) }.
% 1.80/2.22 { in( skol2( Z, Y ), Y ), alpha3( X, Y ) }.
% 1.80/2.22 { disjoint( fiber( X, skol2( X, Y ) ), Y ), alpha3( X, Y ) }.
% 1.80/2.22 { ! relation( X ), ! is_well_founded_in( X, Y ), ! subset( Z, Y ), ! alpha2
% 1.80/2.22 ( X, Z ) }.
% 1.80/2.22 { ! relation( X ), subset( skol3( Z, Y ), Y ), is_well_founded_in( X, Y ) }
% 1.80/2.22 .
% 1.80/2.22 { ! relation( X ), alpha2( X, skol3( X, Y ) ), is_well_founded_in( X, Y ) }
% 1.80/2.22 .
% 1.80/2.22 { ! alpha2( X, Y ), ! Y = empty_set }.
% 1.80/2.22 { ! alpha2( X, Y ), alpha4( X, Y ) }.
% 1.80/2.22 { Y = empty_set, ! alpha4( X, Y ), alpha2( X, Y ) }.
% 1.80/2.22 { ! alpha4( X, Y ), ! in( Z, Y ), ! disjoint( fiber( X, Z ), Y ) }.
% 1.80/2.22 { in( skol4( Z, Y ), Y ), alpha4( X, Y ) }.
% 1.80/2.22 { disjoint( fiber( X, skol4( X, Y ) ), Y ), alpha4( X, Y ) }.
% 1.80/2.22 { ! relation( X ), relation_field( X ) = set_union2( relation_dom( X ),
% 1.80/2.22 relation_rng( X ) ) }.
% 1.80/2.22 { && }.
% 1.80/2.22 { && }.
% 1.80/2.22 { && }.
% 1.80/2.22 { && }.
% 1.80/2.22 { && }.
% 1.80/2.22 { && }.
% 1.80/2.22 { && }.
% 1.80/2.22 { && }.
% 1.80/2.22 { element( skol5( X ), X ) }.
% 1.80/2.22 { empty( empty_set ) }.
% 1.80/2.22 { empty( X ), ! empty( set_union2( X, Y ) ) }.
% 1.80/2.22 { empty( X ), ! empty( set_union2( Y, X ) ) }.
% 1.80/2.22 { set_union2( X, X ) = X }.
% 1.80/2.22 { relation( skol6 ) }.
% 1.80/2.22 { function( skol6 ) }.
% 1.80/2.22 { empty( skol7 ) }.
% 1.80/2.22 { relation( skol8 ) }.
% 1.80/2.22 { empty( skol8 ) }.
% 1.80/2.22 { function( skol8 ) }.
% 1.80/2.22 { ! empty( skol9 ) }.
% 1.80/2.22 { relation( skol10 ) }.
% 1.80/2.22 { function( skol10 ) }.
% 1.80/2.22 { one_to_one( skol10 ) }.
% 1.80/2.22 { subset( X, X ) }.
% 1.80/2.22 { ! disjoint( X, Y ), disjoint( Y, X ) }.
% 1.80/2.22 { set_union2( X, empty_set ) = X }.
% 1.80/2.22 { ! in( X, Y ), element( X, Y ) }.
% 1.80/2.22 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 1.80/2.22 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 1.80/2.22 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 1.80/2.22 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 1.80/2.22 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 1.80/2.22 { relation( skol11 ) }.
% 1.80/2.22 { alpha5( skol11 ), is_well_founded_in( skol11, relation_field( skol11 ) )
% 1.80/2.22 }.
% 1.80/2.22 { alpha5( skol11 ), ! well_founded_relation( skol11 ) }.
% 1.80/2.22 { ! alpha5( X ), well_founded_relation( X ) }.
% 1.80/2.22 { ! alpha5( X ), ! is_well_founded_in( X, relation_field( X ) ) }.
% 1.80/2.22 { ! well_founded_relation( X ), is_well_founded_in( X, relation_field( X )
% 1.80/2.22 ), alpha5( X ) }.
% 1.80/2.22 { ! empty( X ), X = empty_set }.
% 1.80/2.22 { ! in( X, Y ), ! empty( Y ) }.
% 1.80/2.22 { ! empty( X ), X = Y, ! empty( Y ) }.
% 1.80/2.22
% 1.80/2.22 percentage equality = 0.086957, percentage horn = 0.771930
% 1.80/2.22 This is a problem with some equality
% 1.80/2.22
% 1.80/2.22
% 1.80/2.22
% 1.80/2.22 Options Used:
% 1.80/2.22
% 1.80/2.22 useres = 1
% 1.80/2.22 useparamod = 1
% 1.80/2.22 useeqrefl = 1
% 1.80/2.22 useeqfact = 1
% 1.80/2.22 usefactor = 1
% 1.80/2.22 usesimpsplitting = 0
% 1.80/2.22 usesimpdemod = 5
% 1.80/2.22 usesimpres = 3
% 1.80/2.22
% 1.80/2.22 resimpinuse = 1000
% 1.80/2.22 resimpclauses = 20000
% 1.80/2.22 substype = eqrewr
% 1.80/2.22 backwardsubs = 1
% 1.80/2.22 selectoldest = 5
% 1.80/2.22
% 1.80/2.22 litorderings [0] = split
% 1.80/2.22 litorderings [1] = extend the termordering, first sorting on arguments
% 1.80/2.22
% 1.80/2.22 termordering = kbo
% 1.80/2.22
% 1.80/2.22 litapriori = 0
% 1.80/2.22 termapriori = 1
% 1.80/2.22 litaposteriori = 0
% 1.80/2.22 termaposteriori = 0
% 1.80/2.22 demodaposteriori = 0
% 1.80/2.22 ordereqreflfact = 0
% 1.80/2.22
% 1.80/2.22 litselect = negord
% 1.80/2.22
% 1.80/2.22 maxweight = 15
% 1.80/2.22 maxdepth = 30000
% 1.80/2.22 maxlength = 115
% 1.80/2.22 maxnrvars = 195
% 1.80/2.22 excuselevel = 1
% 1.80/2.22 increasemaxweight = 1
% 1.80/2.22
% 1.80/2.22 maxselected = 10000000
% 1.80/2.22 maxnrclauses = 10000000
% 1.80/2.22
% 1.80/2.22 showgenerated = 0
% 1.80/2.22 showkept = 0
% 1.80/2.22 showselected = 0
% 1.80/2.22 showdeleted = 0
% 1.80/2.22 showresimp = 1
% 5.39/5.82 showstatus = 2000
% 5.39/5.82
% 5.39/5.82 prologoutput = 0
% 5.39/5.82 nrgoals = 5000000
% 5.39/5.82 totalproof = 1
% 5.39/5.82
% 5.39/5.82 Symbols occurring in the translation:
% 5.39/5.82
% 5.39/5.82 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.39/5.82 . [1, 2] (w:1, o:34, a:1, s:1, b:0),
% 5.39/5.82 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 5.39/5.82 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 5.39/5.82 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.39/5.82 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.39/5.82 in [37, 2] (w:1, o:58, a:1, s:1, b:0),
% 5.39/5.82 empty [38, 1] (w:1, o:22, a:1, s:1, b:0),
% 5.39/5.82 function [39, 1] (w:1, o:23, a:1, s:1, b:0),
% 5.39/5.82 relation [40, 1] (w:1, o:24, a:1, s:1, b:0),
% 5.39/5.82 one_to_one [41, 1] (w:1, o:25, a:1, s:1, b:0),
% 5.39/5.82 set_union2 [42, 2] (w:1, o:59, a:1, s:1, b:0),
% 5.39/5.82 well_founded_relation [43, 1] (w:1, o:26, a:1, s:1, b:0),
% 5.39/5.82 relation_field [44, 1] (w:1, o:27, a:1, s:1, b:0),
% 5.39/5.82 subset [45, 2] (w:1, o:60, a:1, s:1, b:0),
% 5.39/5.82 empty_set [46, 0] (w:1, o:8, a:1, s:1, b:0),
% 5.39/5.82 fiber [48, 2] (w:1, o:62, a:1, s:1, b:0),
% 5.39/5.82 disjoint [49, 2] (w:1, o:63, a:1, s:1, b:0),
% 5.39/5.82 is_well_founded_in [50, 2] (w:1, o:64, a:1, s:1, b:0),
% 5.39/5.82 relation_dom [52, 1] (w:1, o:28, a:1, s:1, b:0),
% 5.39/5.82 relation_rng [53, 1] (w:1, o:29, a:1, s:1, b:0),
% 5.39/5.82 element [54, 2] (w:1, o:61, a:1, s:1, b:0),
% 5.39/5.82 powerset [55, 1] (w:1, o:30, a:1, s:1, b:0),
% 5.39/5.82 alpha1 [56, 2] (w:1, o:65, a:1, s:1, b:1),
% 5.39/5.82 alpha2 [57, 2] (w:1, o:66, a:1, s:1, b:1),
% 5.39/5.82 alpha3 [58, 2] (w:1, o:67, a:1, s:1, b:1),
% 5.39/5.82 alpha4 [59, 2] (w:1, o:68, a:1, s:1, b:1),
% 5.39/5.82 alpha5 [60, 1] (w:1, o:31, a:1, s:1, b:1),
% 5.39/5.82 skol1 [61, 1] (w:1, o:32, a:1, s:1, b:1),
% 5.39/5.82 skol2 [62, 2] (w:1, o:69, a:1, s:1, b:1),
% 5.39/5.82 skol3 [63, 2] (w:1, o:70, a:1, s:1, b:1),
% 5.39/5.82 skol4 [64, 2] (w:1, o:71, a:1, s:1, b:1),
% 5.39/5.82 skol5 [65, 1] (w:1, o:33, a:1, s:1, b:1),
% 5.39/5.82 skol6 [66, 0] (w:1, o:11, a:1, s:1, b:1),
% 5.39/5.82 skol7 [67, 0] (w:1, o:12, a:1, s:1, b:1),
% 5.39/5.82 skol8 [68, 0] (w:1, o:13, a:1, s:1, b:1),
% 5.39/5.82 skol9 [69, 0] (w:1, o:14, a:1, s:1, b:1),
% 5.39/5.82 skol10 [70, 0] (w:1, o:15, a:1, s:1, b:1),
% 5.39/5.82 skol11 [71, 0] (w:1, o:16, a:1, s:1, b:1).
% 5.39/5.82
% 5.39/5.82
% 5.39/5.82 Starting Search:
% 5.39/5.82
% 5.39/5.82 *** allocated 15000 integers for clauses
% 5.39/5.82 *** allocated 22500 integers for clauses
% 5.39/5.82 *** allocated 33750 integers for clauses
% 5.39/5.82 *** allocated 50625 integers for clauses
% 5.39/5.82 *** allocated 15000 integers for termspace/termends
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82 *** allocated 75937 integers for clauses
% 5.39/5.82 *** allocated 22500 integers for termspace/termends
% 5.39/5.82 *** allocated 113905 integers for clauses
% 5.39/5.82 *** allocated 33750 integers for termspace/termends
% 5.39/5.82
% 5.39/5.82 Intermediate Status:
% 5.39/5.82 Generated: 5882
% 5.39/5.82 Kept: 2006
% 5.39/5.82 Inuse: 244
% 5.39/5.82 Deleted: 26
% 5.39/5.82 Deletedinuse: 13
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82 *** allocated 170857 integers for clauses
% 5.39/5.82 *** allocated 50625 integers for termspace/termends
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82 *** allocated 256285 integers for clauses
% 5.39/5.82
% 5.39/5.82 Intermediate Status:
% 5.39/5.82 Generated: 17188
% 5.39/5.82 Kept: 4062
% 5.39/5.82 Inuse: 338
% 5.39/5.82 Deleted: 41
% 5.39/5.82 Deletedinuse: 20
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82 *** allocated 75937 integers for termspace/termends
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82 *** allocated 113905 integers for termspace/termends
% 5.39/5.82
% 5.39/5.82 Intermediate Status:
% 5.39/5.82 Generated: 27585
% 5.39/5.82 Kept: 6069
% 5.39/5.82 Inuse: 422
% 5.39/5.82 Deleted: 57
% 5.39/5.82 Deletedinuse: 23
% 5.39/5.82
% 5.39/5.82 *** allocated 384427 integers for clauses
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82
% 5.39/5.82 Intermediate Status:
% 5.39/5.82 Generated: 38223
% 5.39/5.82 Kept: 8079
% 5.39/5.82 Inuse: 522
% 5.39/5.82 Deleted: 73
% 5.39/5.82 Deletedinuse: 26
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82 *** allocated 170857 integers for termspace/termends
% 5.39/5.82 *** allocated 576640 integers for clauses
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82
% 5.39/5.82 Intermediate Status:
% 5.39/5.82 Generated: 50665
% 5.39/5.82 Kept: 10090
% 5.39/5.82 Inuse: 568
% 5.39/5.82 Deleted: 74
% 5.39/5.82 Deletedinuse: 26
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82
% 5.39/5.82 Intermediate Status:
% 5.39/5.82 Generated: 57638
% 5.39/5.82 Kept: 12148
% 5.39/5.82 Inuse: 618
% 5.39/5.82 Deleted: 74
% 5.39/5.82 Deletedinuse: 26
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82 *** allocated 256285 integers for termspace/termends
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82
% 5.39/5.82 Intermediate Status:
% 5.39/5.82 Generated: 67416
% 5.39/5.82 Kept: 14149
% 5.39/5.82 Inuse: 659
% 5.39/5.82 Deleted: 82
% 5.39/5.82 Deletedinuse: 26
% 5.39/5.82
% 5.39/5.82 *** allocated 864960 integers for clauses
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82
% 5.39/5.82 Intermediate Status:
% 5.39/5.82 Generated: 78297
% 5.39/5.82 Kept: 16160
% 5.39/5.82 Inuse: 709
% 5.39/5.82 Deleted: 88
% 5.39/5.82 Deletedinuse: 26
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82
% 5.39/5.82 Intermediate Status:
% 5.39/5.82 Generated: 87456
% 5.39/5.82 Kept: 18178
% 5.39/5.82 Inuse: 761
% 5.39/5.82 Deleted: 92
% 5.39/5.82 Deletedinuse: 27
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82 *** allocated 384427 integers for termspace/termends
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82 Resimplifying clauses:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82
% 5.39/5.82 Intermediate Status:
% 5.39/5.82 Generated: 94893
% 5.39/5.82 Kept: 20184
% 5.39/5.82 Inuse: 813
% 5.39/5.82 Deleted: 2617
% 5.39/5.82 Deletedinuse: 61
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82 *** allocated 1297440 integers for clauses
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82
% 5.39/5.82 Intermediate Status:
% 5.39/5.82 Generated: 101723
% 5.39/5.82 Kept: 22215
% 5.39/5.82 Inuse: 856
% 5.39/5.82 Deleted: 2617
% 5.39/5.82 Deletedinuse: 61
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82
% 5.39/5.82 Intermediate Status:
% 5.39/5.82 Generated: 115338
% 5.39/5.82 Kept: 24246
% 5.39/5.82 Inuse: 902
% 5.39/5.82 Deleted: 2617
% 5.39/5.82 Deletedinuse: 61
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82
% 5.39/5.82 Intermediate Status:
% 5.39/5.82 Generated: 127167
% 5.39/5.82 Kept: 26262
% 5.39/5.82 Inuse: 967
% 5.39/5.82 Deleted: 2617
% 5.39/5.82 Deletedinuse: 61
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82 *** allocated 576640 integers for termspace/termends
% 5.39/5.82
% 5.39/5.82 Intermediate Status:
% 5.39/5.82 Generated: 137342
% 5.39/5.82 Kept: 28288
% 5.39/5.82 Inuse: 1014
% 5.39/5.82 Deleted: 2619
% 5.39/5.82 Deletedinuse: 61
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82
% 5.39/5.82 Intermediate Status:
% 5.39/5.82 Generated: 156192
% 5.39/5.82 Kept: 30291
% 5.39/5.82 Inuse: 1062
% 5.39/5.82 Deleted: 2619
% 5.39/5.82 Deletedinuse: 61
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82 *** allocated 1946160 integers for clauses
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82
% 5.39/5.82 Intermediate Status:
% 5.39/5.82 Generated: 167337
% 5.39/5.82 Kept: 32329
% 5.39/5.82 Inuse: 1118
% 5.39/5.82 Deleted: 2684
% 5.39/5.82 Deletedinuse: 126
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82 Resimplifying inuse:
% 5.39/5.82 Done
% 5.39/5.82
% 5.39/5.82
% 5.39/5.82 Intermediate Status:
% 5.39/5.82 Generated: 175959
% 5.39/5.82 Kept: 34332
% 5.39/5.82 Inuse: 1181
% 5.39/5.82 Deleted: 2736
% 5.39/5.82 Deletedinuse: 166
% 5.39/5.82
% 5.39/5.82
% 5.39/5.82 Bliksems!, er is een bewijs:
% 5.39/5.82 % SZS status Theorem
% 5.39/5.82 % SZS output start Refutation
% 5.39/5.82
% 5.39/5.82 (4) {G0,W11,D3,L4,V2,M4} I { ! relation( X ), ! well_founded_relation( X )
% 5.39/5.82 , ! subset( Y, relation_field( X ) ), ! alpha1( X, Y ) }.
% 5.39/5.82 (5) {G0,W9,D3,L3,V1,M3} I { ! relation( X ), subset( skol1( X ),
% 5.39/5.82 relation_field( X ) ), well_founded_relation( X ) }.
% 5.39/5.82 (6) {G0,W8,D3,L3,V1,M3} I { ! relation( X ), alpha1( X, skol1( X ) ),
% 5.39/5.82 well_founded_relation( X ) }.
% 5.39/5.82 (7) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = empty_set }.
% 5.39/5.82 (8) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha3( X, Y ) }.
% 5.39/5.82 (9) {G0,W9,D2,L3,V2,M3} I { Y = empty_set, ! alpha3( X, Y ), alpha1( X, Y )
% 5.39/5.82 }.
% 5.39/5.82 (10) {G0,W11,D3,L3,V3,M3} I { ! alpha3( X, Y ), ! in( Z, Y ), ! disjoint(
% 5.39/5.82 fiber( X, Z ), Y ) }.
% 5.39/5.82 (11) {G0,W8,D3,L2,V3,M2} I { in( skol2( Z, Y ), Y ), alpha3( X, Y ) }.
% 5.39/5.82 (12) {G0,W10,D4,L2,V2,M2} I { disjoint( fiber( X, skol2( X, Y ) ), Y ),
% 5.39/5.82 alpha3( X, Y ) }.
% 5.39/5.82 (13) {G0,W11,D2,L4,V3,M4} I { ! relation( X ), ! is_well_founded_in( X, Y )
% 5.39/5.82 , ! subset( Z, Y ), ! alpha2( X, Z ) }.
% 5.39/5.82 (14) {G0,W10,D3,L3,V3,M3} I { ! relation( X ), subset( skol3( Z, Y ), Y ),
% 5.39/5.82 is_well_founded_in( X, Y ) }.
% 5.39/5.82 (15) {G0,W10,D3,L3,V2,M3} I { ! relation( X ), alpha2( X, skol3( X, Y ) ),
% 5.39/5.82 is_well_founded_in( X, Y ) }.
% 5.39/5.82 (16) {G0,W6,D2,L2,V2,M2} I { ! alpha2( X, Y ), ! Y = empty_set }.
% 5.39/5.82 (17) {G0,W6,D2,L2,V2,M2} I { ! alpha2( X, Y ), alpha4( X, Y ) }.
% 5.39/5.82 (18) {G0,W9,D2,L3,V2,M3} I { Y = empty_set, ! alpha4( X, Y ), alpha2( X, Y
% 5.39/5.82 ) }.
% 5.39/5.82 (19) {G0,W11,D3,L3,V3,M3} I { ! alpha4( X, Y ), ! in( Z, Y ), ! disjoint(
% 5.39/5.82 fiber( X, Z ), Y ) }.
% 5.39/5.82 (20) {G0,W8,D3,L2,V3,M2} I { in( skol4( Z, Y ), Y ), alpha4( X, Y ) }.
% 5.39/5.82 (21) {G0,W10,D4,L2,V2,M2} I { disjoint( fiber( X, skol4( X, Y ) ), Y ),
% 5.39/5.82 alpha4( X, Y ) }.
% 5.39/5.82 (24) {G0,W4,D3,L1,V1,M1} I { element( skol5( X ), X ) }.
% 5.39/5.82 (25) {G0,W2,D2,L1,V0,M1} I { empty( empty_set ) }.
% 5.39/5.82 (39) {G0,W3,D2,L1,V1,M1} I { subset( X, X ) }.
% 5.39/5.82 (43) {G0,W8,D2,L3,V2,M3} I { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 5.39/5.82 (45) {G0,W7,D3,L2,V2,M2} I { ! subset( X, Y ), element( X, powerset( Y ) )
% 5.39/5.82 }.
% 5.39/5.82 (47) {G0,W9,D3,L3,V3,M3} I { ! in( X, Y ), ! element( Y, powerset( Z ) ), !
% 5.39/5.82 empty( Z ) }.
% 5.39/5.82 (48) {G0,W2,D2,L1,V0,M1} I { relation( skol11 ) }.
% 5.39/5.82 (49) {G0,W6,D3,L2,V0,M2} I { alpha5( skol11 ), is_well_founded_in( skol11,
% 5.39/5.82 relation_field( skol11 ) ) }.
% 5.39/5.82 (50) {G0,W4,D2,L2,V0,M2} I { alpha5( skol11 ), ! well_founded_relation(
% 5.39/5.82 skol11 ) }.
% 5.39/5.82 (51) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), well_founded_relation( X ) }.
% 5.39/5.82 (52) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), ! is_well_founded_in( X,
% 5.39/5.82 relation_field( X ) ) }.
% 5.39/5.82 (54) {G0,W5,D2,L2,V1,M2} I { ! empty( X ), X = empty_set }.
% 5.39/5.82 (82) {G1,W6,D3,L2,V0,M2} R(6,50);r(48) { alpha1( skol11, skol1( skol11 ) )
% 5.39/5.82 , alpha5( skol11 ) }.
% 5.39/5.82 (102) {G1,W5,D2,L2,V2,M2} R(7,54) { ! alpha1( X, Y ), ! empty( Y ) }.
% 5.39/5.82 (112) {G1,W8,D3,L3,V1,M3} R(8,6) { alpha3( X, skol1( X ) ), ! relation( X )
% 5.39/5.82 , well_founded_relation( X ) }.
% 5.39/5.82 (140) {G1,W9,D2,L3,V3,M3} R(16,9) { ! alpha2( X, Y ), ! alpha3( Z, Y ),
% 5.39/5.82 alpha1( Z, Y ) }.
% 5.39/5.82 (141) {G1,W5,D2,L2,V2,M2} R(16,54) { ! alpha2( X, Y ), ! empty( Y ) }.
% 5.39/5.82 (187) {G1,W14,D3,L5,V2,M5} R(13,5) { ! relation( X ), ! is_well_founded_in
% 5.39/5.82 ( X, relation_field( Y ) ), ! alpha2( X, skol1( Y ) ), ! relation( Y ),
% 5.39/5.82 well_founded_relation( Y ) }.
% 5.39/5.82 (188) {G1,W8,D2,L3,V2,M3} R(13,39) { ! relation( X ), ! is_well_founded_in
% 5.39/5.82 ( X, Y ), ! alpha2( X, Y ) }.
% 5.39/5.82 (212) {G1,W16,D4,L5,V3,M5} R(14,4) { ! relation( X ), is_well_founded_in( X
% 5.39/5.82 , relation_field( Y ) ), ! relation( Y ), ! well_founded_relation( Y ), !
% 5.39/5.82 alpha1( Y, skol3( Z, relation_field( Y ) ) ) }.
% 5.39/5.82 (215) {G1,W8,D3,L2,V2,M2} R(14,48) { subset( skol3( X, Y ), Y ),
% 5.39/5.82 is_well_founded_in( skol11, Y ) }.
% 5.39/5.82 (253) {G2,W9,D3,L3,V2,M3} R(15,141) { ! relation( X ), is_well_founded_in(
% 5.39/5.82 X, Y ), ! empty( skol3( X, Y ) ) }.
% 5.39/5.82 (268) {G1,W6,D3,L2,V0,M2} R(52,50) { ! is_well_founded_in( skol11,
% 5.39/5.82 relation_field( skol11 ) ), ! well_founded_relation( skol11 ) }.
% 5.39/5.82 (271) {G2,W8,D4,L2,V0,M2} R(268,15);r(48) { ! well_founded_relation( skol11
% 5.39/5.82 ), alpha2( skol11, skol3( skol11, relation_field( skol11 ) ) ) }.
% 5.39/5.82 (326) {G1,W8,D2,L3,V2,M3} P(18,25) { empty( X ), ! alpha4( Y, X ), alpha2(
% 5.39/5.82 Y, X ) }.
% 5.39/5.82 (344) {G1,W11,D3,L3,V2,M3} R(19,12) { ! alpha4( X, Y ), ! in( skol2( X, Y )
% 5.39/5.82 , Y ), alpha3( X, Y ) }.
% 5.39/5.82 (356) {G2,W5,D3,L2,V0,M2} R(82,102) { alpha5( skol11 ), ! empty( skol1(
% 5.39/5.82 skol11 ) ) }.
% 5.39/5.82 (362) {G3,W5,D3,L2,V0,M2} R(356,51) { ! empty( skol1( skol11 ) ),
% 5.39/5.82 well_founded_relation( skol11 ) }.
% 5.39/5.82 (376) {G1,W13,D4,L3,V4,M3} R(20,10) { alpha4( X, Y ), ! alpha3( Z, Y ), !
% 5.39/5.82 disjoint( fiber( Z, skol4( T, Y ) ), Y ) }.
% 5.39/5.82 (470) {G1,W6,D3,L2,V1,M2} R(43,24) { empty( X ), in( skol5( X ), X ) }.
% 5.39/5.82 (630) {G1,W7,D3,L2,V2,M2} R(47,25) { ! in( X, Y ), ! element( Y, powerset(
% 5.39/5.82 empty_set ) ) }.
% 5.39/5.82 (660) {G1,W6,D3,L2,V0,M2} R(49,51) { is_well_founded_in( skol11,
% 5.39/5.82 relation_field( skol11 ) ), well_founded_relation( skol11 ) }.
% 5.39/5.82 (1397) {G2,W6,D2,L2,V2,M2} R(630,45) { ! in( X, Y ), ! subset( Y, empty_set
% 5.39/5.82 ) }.
% 5.39/5.82 (1486) {G3,W5,D2,L2,V1,M2} R(1397,470) { ! subset( X, empty_set ), empty( X
% 5.39/5.82 ) }.
% 5.39/5.82 (1568) {G4,W6,D2,L2,V1,M2} R(1486,54) { ! subset( X, empty_set ), X =
% 5.39/5.82 empty_set }.
% 5.39/5.82 (7764) {G2,W6,D3,L2,V0,M2} R(187,660);f;f;r(48) { ! alpha2( skol11, skol1(
% 5.39/5.82 skol11 ) ), well_founded_relation( skol11 ) }.
% 5.39/5.82 (7779) {G3,W10,D3,L3,V0,M3} R(7764,18) { well_founded_relation( skol11 ),
% 5.39/5.82 skol1( skol11 ) ==> empty_set, ! alpha4( skol11, skol1( skol11 ) ) }.
% 5.39/5.82 (7824) {G2,W6,D2,L2,V1,M2} R(188,48) { ! is_well_founded_in( skol11, X ), !
% 5.39/5.82 alpha2( skol11, X ) }.
% 5.39/5.82 (10115) {G3,W8,D2,L3,V1,M3} R(326,7824) { empty( X ), ! alpha4( skol11, X )
% 5.39/5.82 , ! is_well_founded_in( skol11, X ) }.
% 5.39/5.82 (10450) {G4,W9,D3,L3,V0,M3} R(10115,362);d(7779) { ! alpha4( skol11, skol1
% 5.39/5.82 ( skol11 ) ), well_founded_relation( skol11 ), ! is_well_founded_in(
% 5.39/5.82 skol11, empty_set ) }.
% 5.39/5.82 (11997) {G2,W8,D4,L2,V1,M2} R(212,268);f;f;r(48) { ! well_founded_relation
% 5.39/5.82 ( skol11 ), ! alpha1( skol11, skol3( X, relation_field( skol11 ) ) ) }.
% 5.39/5.82 (12492) {G5,W8,D3,L2,V1,M2} R(215,1568) { is_well_founded_in( skol11,
% 5.39/5.82 empty_set ), skol3( X, empty_set ) ==> empty_set }.
% 5.39/5.82 (18172) {G6,W8,D2,L3,V1,M3} P(12492,253);r(25) { ! relation( X ),
% 5.39/5.82 is_well_founded_in( X, empty_set ), is_well_founded_in( skol11, empty_set
% 5.39/5.82 ) }.
% 5.39/5.82 (18173) {G7,W3,D2,L1,V0,M1} F(18172);r(48) { is_well_founded_in( skol11,
% 5.39/5.82 empty_set ) }.
% 5.39/5.82 (20044) {G8,W6,D3,L2,V0,M2} S(10450);r(18173) { ! alpha4( skol11, skol1(
% 5.39/5.82 skol11 ) ), well_founded_relation( skol11 ) }.
% 5.39/5.82 (32029) {G2,W9,D2,L3,V3,M3} R(344,11) { ! alpha4( X, Y ), alpha3( X, Y ),
% 5.39/5.82 alpha3( Z, Y ) }.
% 5.39/5.82 (32031) {G3,W6,D2,L2,V2,M2} F(32029) { ! alpha4( X, Y ), alpha3( X, Y ) }.
% 5.39/5.82 (32078) {G4,W6,D2,L2,V2,M2} R(32031,17) { alpha3( X, Y ), ! alpha2( X, Y )
% 5.39/5.82 }.
% 5.39/5.82 (32120) {G5,W9,D2,L3,V3,M3} R(32078,140) { ! alpha2( X, Y ), ! alpha2( Z, Y
% 5.39/5.82 ), alpha1( X, Y ) }.
% 5.39/5.82 (32129) {G6,W6,D2,L2,V2,M2} F(32120) { ! alpha2( X, Y ), alpha1( X, Y ) }.
% 5.39/5.82 (32144) {G7,W2,D2,L1,V0,M1} R(32129,271);r(11997) { ! well_founded_relation
% 5.39/5.82 ( skol11 ) }.
% 5.39/5.82 (32183) {G9,W4,D3,L1,V0,M1} R(32144,20044) { ! alpha4( skol11, skol1(
% 5.39/5.82 skol11 ) ) }.
% 5.39/5.82 (32200) {G8,W4,D3,L1,V0,M1} R(32144,112);r(48) { alpha3( skol11, skol1(
% 5.39/5.82 skol11 ) ) }.
% 5.39/5.82 (35248) {G2,W9,D2,L3,V3,M3} R(376,21) { alpha4( X, Y ), ! alpha3( Z, Y ),
% 5.39/5.82 alpha4( Z, Y ) }.
% 5.39/5.82 (35250) {G3,W6,D2,L2,V2,M2} F(35248) { alpha4( X, Y ), ! alpha3( X, Y ) }.
% 5.39/5.82 (35254) {G10,W0,D0,L0,V0,M0} R(35250,32200);r(32183) { }.
% 5.39/5.82
% 5.39/5.82
% 5.39/5.82 % SZS output end Refutation
% 5.39/5.82 found a proof!
% 5.39/5.82
% 5.39/5.82
% 5.39/5.82 Unprocessed initial clauses:
% 5.39/5.82
% 5.39/5.82 (35256) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 5.39/5.82 (35257) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 5.39/5.82 (35258) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 5.39/5.82 ), relation( X ) }.
% 5.39/5.82 (35259) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 5.39/5.82 ), function( X ) }.
% 5.39/5.82 (35260) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 5.39/5.82 ), one_to_one( X ) }.
% 5.39/5.82 (35261) {G0,W7,D3,L1,V2,M1} { set_union2( X, Y ) = set_union2( Y, X ) }.
% 5.39/5.82 (35262) {G0,W11,D3,L4,V2,M4} { ! relation( X ), ! well_founded_relation( X
% 5.39/5.82 ), ! subset( Y, relation_field( X ) ), ! alpha1( X, Y ) }.
% 5.39/5.82 (35263) {G0,W9,D3,L3,V1,M3} { ! relation( X ), subset( skol1( X ),
% 5.39/5.82 relation_field( X ) ), well_founded_relation( X ) }.
% 5.39/5.82 (35264) {G0,W8,D3,L3,V1,M3} { ! relation( X ), alpha1( X, skol1( X ) ),
% 5.39/5.82 well_founded_relation( X ) }.
% 5.39/5.82 (35265) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = empty_set }.
% 5.39/5.82 (35266) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha3( X, Y ) }.
% 5.39/5.82 (35267) {G0,W9,D2,L3,V2,M3} { Y = empty_set, ! alpha3( X, Y ), alpha1( X,
% 5.39/5.82 Y ) }.
% 5.39/5.82 (35268) {G0,W11,D3,L3,V3,M3} { ! alpha3( X, Y ), ! in( Z, Y ), ! disjoint
% 5.39/5.82 ( fiber( X, Z ), Y ) }.
% 5.39/5.82 (35269) {G0,W8,D3,L2,V3,M2} { in( skol2( Z, Y ), Y ), alpha3( X, Y ) }.
% 5.39/5.82 (35270) {G0,W10,D4,L2,V2,M2} { disjoint( fiber( X, skol2( X, Y ) ), Y ),
% 5.39/5.82 alpha3( X, Y ) }.
% 5.39/5.82 (35271) {G0,W11,D2,L4,V3,M4} { ! relation( X ), ! is_well_founded_in( X, Y
% 5.39/5.82 ), ! subset( Z, Y ), ! alpha2( X, Z ) }.
% 5.39/5.82 (35272) {G0,W10,D3,L3,V3,M3} { ! relation( X ), subset( skol3( Z, Y ), Y )
% 5.39/5.82 , is_well_founded_in( X, Y ) }.
% 5.39/5.82 (35273) {G0,W10,D3,L3,V2,M3} { ! relation( X ), alpha2( X, skol3( X, Y ) )
% 5.39/5.82 , is_well_founded_in( X, Y ) }.
% 5.39/5.82 (35274) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), ! Y = empty_set }.
% 5.39/5.82 (35275) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), alpha4( X, Y ) }.
% 5.39/5.82 (35276) {G0,W9,D2,L3,V2,M3} { Y = empty_set, ! alpha4( X, Y ), alpha2( X,
% 5.39/5.82 Y ) }.
% 5.39/5.82 (35277) {G0,W11,D3,L3,V3,M3} { ! alpha4( X, Y ), ! in( Z, Y ), ! disjoint
% 5.39/5.82 ( fiber( X, Z ), Y ) }.
% 5.39/5.82 (35278) {G0,W8,D3,L2,V3,M2} { in( skol4( Z, Y ), Y ), alpha4( X, Y ) }.
% 5.39/5.82 (35279) {G0,W10,D4,L2,V2,M2} { disjoint( fiber( X, skol4( X, Y ) ), Y ),
% 5.39/5.82 alpha4( X, Y ) }.
% 5.39/5.82 (35280) {G0,W10,D4,L2,V1,M2} { ! relation( X ), relation_field( X ) =
% 5.39/5.82 set_union2( relation_dom( X ), relation_rng( X ) ) }.
% 5.39/5.82 (35281) {G0,W1,D1,L1,V0,M1} { && }.
% 5.39/5.82 (35282) {G0,W1,D1,L1,V0,M1} { && }.
% 5.39/5.82 (35283) {G0,W1,D1,L1,V0,M1} { && }.
% 5.39/5.82 (35284) {G0,W1,D1,L1,V0,M1} { && }.
% 5.39/5.82 (35285) {G0,W1,D1,L1,V0,M1} { && }.
% 5.39/5.82 (35286) {G0,W1,D1,L1,V0,M1} { && }.
% 5.39/5.82 (35287) {G0,W1,D1,L1,V0,M1} { && }.
% 5.39/5.82 (35288) {G0,W1,D1,L1,V0,M1} { && }.
% 5.39/5.82 (35289) {G0,W4,D3,L1,V1,M1} { element( skol5( X ), X ) }.
% 5.39/5.82 (35290) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 5.39/5.82 (35291) {G0,W6,D3,L2,V2,M2} { empty( X ), ! empty( set_union2( X, Y ) )
% 5.39/5.82 }.
% 5.39/5.82 (35292) {G0,W6,D3,L2,V2,M2} { empty( X ), ! empty( set_union2( Y, X ) )
% 5.39/5.82 }.
% 5.39/5.82 (35293) {G0,W5,D3,L1,V1,M1} { set_union2( X, X ) = X }.
% 5.39/5.82 (35294) {G0,W2,D2,L1,V0,M1} { relation( skol6 ) }.
% 5.39/5.82 (35295) {G0,W2,D2,L1,V0,M1} { function( skol6 ) }.
% 5.39/5.82 (35296) {G0,W2,D2,L1,V0,M1} { empty( skol7 ) }.
% 5.39/5.82 (35297) {G0,W2,D2,L1,V0,M1} { relation( skol8 ) }.
% 5.39/5.82 (35298) {G0,W2,D2,L1,V0,M1} { empty( skol8 ) }.
% 5.39/5.82 (35299) {G0,W2,D2,L1,V0,M1} { function( skol8 ) }.
% 5.39/5.82 (35300) {G0,W2,D2,L1,V0,M1} { ! empty( skol9 ) }.
% 5.39/5.82 (35301) {G0,W2,D2,L1,V0,M1} { relation( skol10 ) }.
% 5.39/5.82 (35302) {G0,W2,D2,L1,V0,M1} { function( skol10 ) }.
% 5.39/5.82 (35303) {G0,W2,D2,L1,V0,M1} { one_to_one( skol10 ) }.
% 5.39/5.82 (35304) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 5.39/5.82 (35305) {G0,W6,D2,L2,V2,M2} { ! disjoint( X, Y ), disjoint( Y, X ) }.
% 5.39/5.82 (35306) {G0,W5,D3,L1,V1,M1} { set_union2( X, empty_set ) = X }.
% 5.39/5.82 (35307) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 5.39/5.82 (35308) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 5.39/5.82 }.
% 5.39/5.82 (35309) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y
% 5.39/5.82 ) }.
% 5.39/5.82 (35310) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y )
% 5.39/5.82 ) }.
% 5.39/5.82 (35311) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y ) )
% 5.39/5.82 , element( X, Y ) }.
% 5.39/5.82 (35312) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) )
% 5.39/5.82 , ! empty( Z ) }.
% 5.39/5.82 (35313) {G0,W2,D2,L1,V0,M1} { relation( skol11 ) }.
% 5.39/5.82 (35314) {G0,W6,D3,L2,V0,M2} { alpha5( skol11 ), is_well_founded_in( skol11
% 5.39/5.82 , relation_field( skol11 ) ) }.
% 5.39/5.82 (35315) {G0,W4,D2,L2,V0,M2} { alpha5( skol11 ), ! well_founded_relation(
% 5.39/5.82 skol11 ) }.
% 5.39/5.82 (35316) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), well_founded_relation( X )
% 5.39/5.82 }.
% 5.39/5.82 (35317) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), ! is_well_founded_in( X,
% 5.39/5.82 relation_field( X ) ) }.
% 5.39/5.82 (35318) {G0,W8,D3,L3,V1,M3} { ! well_founded_relation( X ),
% 5.39/5.82 is_well_founded_in( X, relation_field( X ) ), alpha5( X ) }.
% 5.39/5.82 (35319) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 5.39/5.82 (35320) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 5.39/5.82 (35321) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 5.39/5.82
% 5.39/5.82
% 5.39/5.82 Total Proof:
% 5.39/5.82
% 5.39/5.82 subsumption: (4) {G0,W11,D3,L4,V2,M4} I { ! relation( X ), !
% 5.39/5.82 well_founded_relation( X ), ! subset( Y, relation_field( X ) ), ! alpha1
% 5.39/5.82 ( X, Y ) }.
% 5.39/5.82 parent0: (35262) {G0,W11,D3,L4,V2,M4} { ! relation( X ), !
% 5.39/5.82 well_founded_relation( X ), ! subset( Y, relation_field( X ) ), ! alpha1
% 5.39/5.82 ( X, Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 2 ==> 2
% 5.39/5.82 3 ==> 3
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (5) {G0,W9,D3,L3,V1,M3} I { ! relation( X ), subset( skol1( X
% 5.39/5.82 ), relation_field( X ) ), well_founded_relation( X ) }.
% 5.39/5.82 parent0: (35263) {G0,W9,D3,L3,V1,M3} { ! relation( X ), subset( skol1( X )
% 5.39/5.82 , relation_field( X ) ), well_founded_relation( X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 2 ==> 2
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (6) {G0,W8,D3,L3,V1,M3} I { ! relation( X ), alpha1( X, skol1
% 5.39/5.82 ( X ) ), well_founded_relation( X ) }.
% 5.39/5.82 parent0: (35264) {G0,W8,D3,L3,V1,M3} { ! relation( X ), alpha1( X, skol1(
% 5.39/5.82 X ) ), well_founded_relation( X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 2 ==> 2
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (7) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = empty_set
% 5.39/5.82 }.
% 5.39/5.82 parent0: (35265) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = empty_set
% 5.39/5.82 }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (8) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha3( X, Y )
% 5.39/5.82 }.
% 5.39/5.82 parent0: (35266) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha3( X, Y )
% 5.39/5.82 }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (9) {G0,W9,D2,L3,V2,M3} I { Y = empty_set, ! alpha3( X, Y ),
% 5.39/5.82 alpha1( X, Y ) }.
% 5.39/5.82 parent0: (35267) {G0,W9,D2,L3,V2,M3} { Y = empty_set, ! alpha3( X, Y ),
% 5.39/5.82 alpha1( X, Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 2 ==> 2
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (10) {G0,W11,D3,L3,V3,M3} I { ! alpha3( X, Y ), ! in( Z, Y ),
% 5.39/5.82 ! disjoint( fiber( X, Z ), Y ) }.
% 5.39/5.82 parent0: (35268) {G0,W11,D3,L3,V3,M3} { ! alpha3( X, Y ), ! in( Z, Y ), !
% 5.39/5.82 disjoint( fiber( X, Z ), Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 Z := Z
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 2 ==> 2
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (11) {G0,W8,D3,L2,V3,M2} I { in( skol2( Z, Y ), Y ), alpha3( X
% 5.39/5.82 , Y ) }.
% 5.39/5.82 parent0: (35269) {G0,W8,D3,L2,V3,M2} { in( skol2( Z, Y ), Y ), alpha3( X,
% 5.39/5.82 Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 Z := Z
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (12) {G0,W10,D4,L2,V2,M2} I { disjoint( fiber( X, skol2( X, Y
% 5.39/5.82 ) ), Y ), alpha3( X, Y ) }.
% 5.39/5.82 parent0: (35270) {G0,W10,D4,L2,V2,M2} { disjoint( fiber( X, skol2( X, Y )
% 5.39/5.82 ), Y ), alpha3( X, Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (13) {G0,W11,D2,L4,V3,M4} I { ! relation( X ), !
% 5.39/5.82 is_well_founded_in( X, Y ), ! subset( Z, Y ), ! alpha2( X, Z ) }.
% 5.39/5.82 parent0: (35271) {G0,W11,D2,L4,V3,M4} { ! relation( X ), !
% 5.39/5.82 is_well_founded_in( X, Y ), ! subset( Z, Y ), ! alpha2( X, Z ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 Z := Z
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 2 ==> 2
% 5.39/5.82 3 ==> 3
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (14) {G0,W10,D3,L3,V3,M3} I { ! relation( X ), subset( skol3(
% 5.39/5.82 Z, Y ), Y ), is_well_founded_in( X, Y ) }.
% 5.39/5.82 parent0: (35272) {G0,W10,D3,L3,V3,M3} { ! relation( X ), subset( skol3( Z
% 5.39/5.82 , Y ), Y ), is_well_founded_in( X, Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 Z := Z
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 2 ==> 2
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (15) {G0,W10,D3,L3,V2,M3} I { ! relation( X ), alpha2( X,
% 5.39/5.82 skol3( X, Y ) ), is_well_founded_in( X, Y ) }.
% 5.39/5.82 parent0: (35273) {G0,W10,D3,L3,V2,M3} { ! relation( X ), alpha2( X, skol3
% 5.39/5.82 ( X, Y ) ), is_well_founded_in( X, Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 2 ==> 2
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (16) {G0,W6,D2,L2,V2,M2} I { ! alpha2( X, Y ), ! Y = empty_set
% 5.39/5.82 }.
% 5.39/5.82 parent0: (35274) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), ! Y = empty_set
% 5.39/5.82 }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (17) {G0,W6,D2,L2,V2,M2} I { ! alpha2( X, Y ), alpha4( X, Y )
% 5.39/5.82 }.
% 5.39/5.82 parent0: (35275) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), alpha4( X, Y )
% 5.39/5.82 }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (18) {G0,W9,D2,L3,V2,M3} I { Y = empty_set, ! alpha4( X, Y ),
% 5.39/5.82 alpha2( X, Y ) }.
% 5.39/5.82 parent0: (35276) {G0,W9,D2,L3,V2,M3} { Y = empty_set, ! alpha4( X, Y ),
% 5.39/5.82 alpha2( X, Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 2 ==> 2
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (19) {G0,W11,D3,L3,V3,M3} I { ! alpha4( X, Y ), ! in( Z, Y ),
% 5.39/5.82 ! disjoint( fiber( X, Z ), Y ) }.
% 5.39/5.82 parent0: (35277) {G0,W11,D3,L3,V3,M3} { ! alpha4( X, Y ), ! in( Z, Y ), !
% 5.39/5.82 disjoint( fiber( X, Z ), Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 Z := Z
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 2 ==> 2
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (20) {G0,W8,D3,L2,V3,M2} I { in( skol4( Z, Y ), Y ), alpha4( X
% 5.39/5.82 , Y ) }.
% 5.39/5.82 parent0: (35278) {G0,W8,D3,L2,V3,M2} { in( skol4( Z, Y ), Y ), alpha4( X,
% 5.39/5.82 Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 Z := Z
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (21) {G0,W10,D4,L2,V2,M2} I { disjoint( fiber( X, skol4( X, Y
% 5.39/5.82 ) ), Y ), alpha4( X, Y ) }.
% 5.39/5.82 parent0: (35279) {G0,W10,D4,L2,V2,M2} { disjoint( fiber( X, skol4( X, Y )
% 5.39/5.82 ), Y ), alpha4( X, Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (24) {G0,W4,D3,L1,V1,M1} I { element( skol5( X ), X ) }.
% 5.39/5.82 parent0: (35289) {G0,W4,D3,L1,V1,M1} { element( skol5( X ), X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (25) {G0,W2,D2,L1,V0,M1} I { empty( empty_set ) }.
% 5.39/5.82 parent0: (35290) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (39) {G0,W3,D2,L1,V1,M1} I { subset( X, X ) }.
% 5.39/5.82 parent0: (35304) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (43) {G0,W8,D2,L3,V2,M3} I { ! element( X, Y ), empty( Y ), in
% 5.39/5.82 ( X, Y ) }.
% 5.39/5.82 parent0: (35308) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in(
% 5.39/5.82 X, Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 2 ==> 2
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (45) {G0,W7,D3,L2,V2,M2} I { ! subset( X, Y ), element( X,
% 5.39/5.82 powerset( Y ) ) }.
% 5.39/5.82 parent0: (35310) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X,
% 5.39/5.82 powerset( Y ) ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (47) {G0,W9,D3,L3,V3,M3} I { ! in( X, Y ), ! element( Y,
% 5.39/5.82 powerset( Z ) ), ! empty( Z ) }.
% 5.39/5.82 parent0: (35312) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y,
% 5.39/5.82 powerset( Z ) ), ! empty( Z ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 Z := Z
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 2 ==> 2
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (48) {G0,W2,D2,L1,V0,M1} I { relation( skol11 ) }.
% 5.39/5.82 parent0: (35313) {G0,W2,D2,L1,V0,M1} { relation( skol11 ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (49) {G0,W6,D3,L2,V0,M2} I { alpha5( skol11 ),
% 5.39/5.82 is_well_founded_in( skol11, relation_field( skol11 ) ) }.
% 5.39/5.82 parent0: (35314) {G0,W6,D3,L2,V0,M2} { alpha5( skol11 ),
% 5.39/5.82 is_well_founded_in( skol11, relation_field( skol11 ) ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (50) {G0,W4,D2,L2,V0,M2} I { alpha5( skol11 ), !
% 5.39/5.82 well_founded_relation( skol11 ) }.
% 5.39/5.82 parent0: (35315) {G0,W4,D2,L2,V0,M2} { alpha5( skol11 ), !
% 5.39/5.82 well_founded_relation( skol11 ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (51) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ),
% 5.39/5.82 well_founded_relation( X ) }.
% 5.39/5.82 parent0: (35316) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ),
% 5.39/5.82 well_founded_relation( X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (52) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), !
% 5.39/5.82 is_well_founded_in( X, relation_field( X ) ) }.
% 5.39/5.82 parent0: (35317) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), ! is_well_founded_in
% 5.39/5.82 ( X, relation_field( X ) ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (54) {G0,W5,D2,L2,V1,M2} I { ! empty( X ), X = empty_set }.
% 5.39/5.82 parent0: (35319) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35470) {G1,W8,D3,L3,V0,M3} { alpha5( skol11 ), ! relation(
% 5.39/5.82 skol11 ), alpha1( skol11, skol1( skol11 ) ) }.
% 5.39/5.82 parent0[1]: (50) {G0,W4,D2,L2,V0,M2} I { alpha5( skol11 ), !
% 5.39/5.82 well_founded_relation( skol11 ) }.
% 5.39/5.82 parent1[2]: (6) {G0,W8,D3,L3,V1,M3} I { ! relation( X ), alpha1( X, skol1(
% 5.39/5.82 X ) ), well_founded_relation( X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 X := skol11
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35471) {G1,W6,D3,L2,V0,M2} { alpha5( skol11 ), alpha1( skol11
% 5.39/5.82 , skol1( skol11 ) ) }.
% 5.39/5.82 parent0[1]: (35470) {G1,W8,D3,L3,V0,M3} { alpha5( skol11 ), ! relation(
% 5.39/5.82 skol11 ), alpha1( skol11, skol1( skol11 ) ) }.
% 5.39/5.82 parent1[0]: (48) {G0,W2,D2,L1,V0,M1} I { relation( skol11 ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (82) {G1,W6,D3,L2,V0,M2} R(6,50);r(48) { alpha1( skol11, skol1
% 5.39/5.82 ( skol11 ) ), alpha5( skol11 ) }.
% 5.39/5.82 parent0: (35471) {G1,W6,D3,L2,V0,M2} { alpha5( skol11 ), alpha1( skol11,
% 5.39/5.82 skol1( skol11 ) ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 1
% 5.39/5.82 1 ==> 0
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 eqswap: (35472) {G0,W6,D2,L2,V2,M2} { ! empty_set = X, ! alpha1( Y, X )
% 5.39/5.82 }.
% 5.39/5.82 parent0[1]: (7) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = empty_set
% 5.39/5.82 }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := Y
% 5.39/5.82 Y := X
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 eqswap: (35473) {G0,W5,D2,L2,V1,M2} { empty_set = X, ! empty( X ) }.
% 5.39/5.82 parent0[1]: (54) {G0,W5,D2,L2,V1,M2} I { ! empty( X ), X = empty_set }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35474) {G1,W5,D2,L2,V2,M2} { ! alpha1( Y, X ), ! empty( X )
% 5.39/5.82 }.
% 5.39/5.82 parent0[0]: (35472) {G0,W6,D2,L2,V2,M2} { ! empty_set = X, ! alpha1( Y, X
% 5.39/5.82 ) }.
% 5.39/5.82 parent1[0]: (35473) {G0,W5,D2,L2,V1,M2} { empty_set = X, ! empty( X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (102) {G1,W5,D2,L2,V2,M2} R(7,54) { ! alpha1( X, Y ), ! empty
% 5.39/5.82 ( Y ) }.
% 5.39/5.82 parent0: (35474) {G1,W5,D2,L2,V2,M2} { ! alpha1( Y, X ), ! empty( X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := Y
% 5.39/5.82 Y := X
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35475) {G1,W8,D3,L3,V1,M3} { alpha3( X, skol1( X ) ), !
% 5.39/5.82 relation( X ), well_founded_relation( X ) }.
% 5.39/5.82 parent0[0]: (8) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha3( X, Y )
% 5.39/5.82 }.
% 5.39/5.82 parent1[1]: (6) {G0,W8,D3,L3,V1,M3} I { ! relation( X ), alpha1( X, skol1(
% 5.39/5.82 X ) ), well_founded_relation( X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := skol1( X )
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (112) {G1,W8,D3,L3,V1,M3} R(8,6) { alpha3( X, skol1( X ) ), !
% 5.39/5.82 relation( X ), well_founded_relation( X ) }.
% 5.39/5.82 parent0: (35475) {G1,W8,D3,L3,V1,M3} { alpha3( X, skol1( X ) ), ! relation
% 5.39/5.82 ( X ), well_founded_relation( X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 2 ==> 2
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 eqswap: (35476) {G0,W6,D2,L2,V2,M2} { ! empty_set = X, ! alpha2( Y, X )
% 5.39/5.82 }.
% 5.39/5.82 parent0[1]: (16) {G0,W6,D2,L2,V2,M2} I { ! alpha2( X, Y ), ! Y = empty_set
% 5.39/5.82 }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := Y
% 5.39/5.82 Y := X
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 eqswap: (35477) {G0,W9,D2,L3,V2,M3} { empty_set = X, ! alpha3( Y, X ),
% 5.39/5.82 alpha1( Y, X ) }.
% 5.39/5.82 parent0[0]: (9) {G0,W9,D2,L3,V2,M3} I { Y = empty_set, ! alpha3( X, Y ),
% 5.39/5.82 alpha1( X, Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := Y
% 5.39/5.82 Y := X
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35478) {G1,W9,D2,L3,V3,M3} { ! alpha2( Y, X ), ! alpha3( Z, X
% 5.39/5.82 ), alpha1( Z, X ) }.
% 5.39/5.82 parent0[0]: (35476) {G0,W6,D2,L2,V2,M2} { ! empty_set = X, ! alpha2( Y, X
% 5.39/5.82 ) }.
% 5.39/5.82 parent1[0]: (35477) {G0,W9,D2,L3,V2,M3} { empty_set = X, ! alpha3( Y, X )
% 5.39/5.82 , alpha1( Y, X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Z
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (140) {G1,W9,D2,L3,V3,M3} R(16,9) { ! alpha2( X, Y ), ! alpha3
% 5.39/5.82 ( Z, Y ), alpha1( Z, Y ) }.
% 5.39/5.82 parent0: (35478) {G1,W9,D2,L3,V3,M3} { ! alpha2( Y, X ), ! alpha3( Z, X )
% 5.39/5.82 , alpha1( Z, X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := Y
% 5.39/5.82 Y := X
% 5.39/5.82 Z := Z
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 2 ==> 2
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 eqswap: (35479) {G0,W6,D2,L2,V2,M2} { ! empty_set = X, ! alpha2( Y, X )
% 5.39/5.82 }.
% 5.39/5.82 parent0[1]: (16) {G0,W6,D2,L2,V2,M2} I { ! alpha2( X, Y ), ! Y = empty_set
% 5.39/5.82 }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := Y
% 5.39/5.82 Y := X
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 eqswap: (35480) {G0,W5,D2,L2,V1,M2} { empty_set = X, ! empty( X ) }.
% 5.39/5.82 parent0[1]: (54) {G0,W5,D2,L2,V1,M2} I { ! empty( X ), X = empty_set }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35481) {G1,W5,D2,L2,V2,M2} { ! alpha2( Y, X ), ! empty( X )
% 5.39/5.82 }.
% 5.39/5.82 parent0[0]: (35479) {G0,W6,D2,L2,V2,M2} { ! empty_set = X, ! alpha2( Y, X
% 5.39/5.82 ) }.
% 5.39/5.82 parent1[0]: (35480) {G0,W5,D2,L2,V1,M2} { empty_set = X, ! empty( X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (141) {G1,W5,D2,L2,V2,M2} R(16,54) { ! alpha2( X, Y ), ! empty
% 5.39/5.82 ( Y ) }.
% 5.39/5.82 parent0: (35481) {G1,W5,D2,L2,V2,M2} { ! alpha2( Y, X ), ! empty( X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := Y
% 5.39/5.82 Y := X
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35482) {G1,W14,D3,L5,V2,M5} { ! relation( X ), !
% 5.39/5.82 is_well_founded_in( X, relation_field( Y ) ), ! alpha2( X, skol1( Y ) ),
% 5.39/5.82 ! relation( Y ), well_founded_relation( Y ) }.
% 5.39/5.82 parent0[2]: (13) {G0,W11,D2,L4,V3,M4} I { ! relation( X ), !
% 5.39/5.82 is_well_founded_in( X, Y ), ! subset( Z, Y ), ! alpha2( X, Z ) }.
% 5.39/5.82 parent1[1]: (5) {G0,W9,D3,L3,V1,M3} I { ! relation( X ), subset( skol1( X )
% 5.39/5.82 , relation_field( X ) ), well_founded_relation( X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := relation_field( Y )
% 5.39/5.82 Z := skol1( Y )
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 X := Y
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (187) {G1,W14,D3,L5,V2,M5} R(13,5) { ! relation( X ), !
% 5.39/5.82 is_well_founded_in( X, relation_field( Y ) ), ! alpha2( X, skol1( Y ) ),
% 5.39/5.82 ! relation( Y ), well_founded_relation( Y ) }.
% 5.39/5.82 parent0: (35482) {G1,W14,D3,L5,V2,M5} { ! relation( X ), !
% 5.39/5.82 is_well_founded_in( X, relation_field( Y ) ), ! alpha2( X, skol1( Y ) ),
% 5.39/5.82 ! relation( Y ), well_founded_relation( Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 2 ==> 2
% 5.39/5.82 3 ==> 3
% 5.39/5.82 4 ==> 4
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35484) {G1,W8,D2,L3,V2,M3} { ! relation( X ), !
% 5.39/5.82 is_well_founded_in( X, Y ), ! alpha2( X, Y ) }.
% 5.39/5.82 parent0[2]: (13) {G0,W11,D2,L4,V3,M4} I { ! relation( X ), !
% 5.39/5.82 is_well_founded_in( X, Y ), ! subset( Z, Y ), ! alpha2( X, Z ) }.
% 5.39/5.82 parent1[0]: (39) {G0,W3,D2,L1,V1,M1} I { subset( X, X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 Z := Y
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 X := Y
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (188) {G1,W8,D2,L3,V2,M3} R(13,39) { ! relation( X ), !
% 5.39/5.82 is_well_founded_in( X, Y ), ! alpha2( X, Y ) }.
% 5.39/5.82 parent0: (35484) {G1,W8,D2,L3,V2,M3} { ! relation( X ), !
% 5.39/5.82 is_well_founded_in( X, Y ), ! alpha2( X, Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 2 ==> 2
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35485) {G1,W16,D4,L5,V3,M5} { ! relation( X ), !
% 5.39/5.82 well_founded_relation( X ), ! alpha1( X, skol3( Y, relation_field( X ) )
% 5.39/5.82 ), ! relation( Z ), is_well_founded_in( Z, relation_field( X ) ) }.
% 5.39/5.82 parent0[2]: (4) {G0,W11,D3,L4,V2,M4} I { ! relation( X ), !
% 5.39/5.82 well_founded_relation( X ), ! subset( Y, relation_field( X ) ), ! alpha1
% 5.39/5.82 ( X, Y ) }.
% 5.39/5.82 parent1[1]: (14) {G0,W10,D3,L3,V3,M3} I { ! relation( X ), subset( skol3( Z
% 5.39/5.82 , Y ), Y ), is_well_founded_in( X, Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := skol3( Y, relation_field( X ) )
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 X := Z
% 5.39/5.82 Y := relation_field( X )
% 5.39/5.82 Z := Y
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (212) {G1,W16,D4,L5,V3,M5} R(14,4) { ! relation( X ),
% 5.39/5.82 is_well_founded_in( X, relation_field( Y ) ), ! relation( Y ), !
% 5.39/5.82 well_founded_relation( Y ), ! alpha1( Y, skol3( Z, relation_field( Y ) )
% 5.39/5.82 ) }.
% 5.39/5.82 parent0: (35485) {G1,W16,D4,L5,V3,M5} { ! relation( X ), !
% 5.39/5.82 well_founded_relation( X ), ! alpha1( X, skol3( Y, relation_field( X ) )
% 5.39/5.82 ), ! relation( Z ), is_well_founded_in( Z, relation_field( X ) ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := Y
% 5.39/5.82 Y := Z
% 5.39/5.82 Z := X
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 2
% 5.39/5.82 1 ==> 3
% 5.39/5.82 2 ==> 4
% 5.39/5.82 3 ==> 0
% 5.39/5.82 4 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35487) {G1,W8,D3,L2,V2,M2} { subset( skol3( X, Y ), Y ),
% 5.39/5.82 is_well_founded_in( skol11, Y ) }.
% 5.39/5.82 parent0[0]: (14) {G0,W10,D3,L3,V3,M3} I { ! relation( X ), subset( skol3( Z
% 5.39/5.82 , Y ), Y ), is_well_founded_in( X, Y ) }.
% 5.39/5.82 parent1[0]: (48) {G0,W2,D2,L1,V0,M1} I { relation( skol11 ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := skol11
% 5.39/5.82 Y := Y
% 5.39/5.82 Z := X
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (215) {G1,W8,D3,L2,V2,M2} R(14,48) { subset( skol3( X, Y ), Y
% 5.39/5.82 ), is_well_founded_in( skol11, Y ) }.
% 5.39/5.82 parent0: (35487) {G1,W8,D3,L2,V2,M2} { subset( skol3( X, Y ), Y ),
% 5.39/5.82 is_well_founded_in( skol11, Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35488) {G1,W9,D3,L3,V2,M3} { ! empty( skol3( X, Y ) ), !
% 5.39/5.82 relation( X ), is_well_founded_in( X, Y ) }.
% 5.39/5.82 parent0[0]: (141) {G1,W5,D2,L2,V2,M2} R(16,54) { ! alpha2( X, Y ), ! empty
% 5.39/5.82 ( Y ) }.
% 5.39/5.82 parent1[1]: (15) {G0,W10,D3,L3,V2,M3} I { ! relation( X ), alpha2( X, skol3
% 5.39/5.82 ( X, Y ) ), is_well_founded_in( X, Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := skol3( X, Y )
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (253) {G2,W9,D3,L3,V2,M3} R(15,141) { ! relation( X ),
% 5.39/5.82 is_well_founded_in( X, Y ), ! empty( skol3( X, Y ) ) }.
% 5.39/5.82 parent0: (35488) {G1,W9,D3,L3,V2,M3} { ! empty( skol3( X, Y ) ), !
% 5.39/5.82 relation( X ), is_well_founded_in( X, Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 2
% 5.39/5.82 1 ==> 0
% 5.39/5.82 2 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35489) {G1,W6,D3,L2,V0,M2} { ! is_well_founded_in( skol11,
% 5.39/5.82 relation_field( skol11 ) ), ! well_founded_relation( skol11 ) }.
% 5.39/5.82 parent0[0]: (52) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), !
% 5.39/5.82 is_well_founded_in( X, relation_field( X ) ) }.
% 5.39/5.82 parent1[0]: (50) {G0,W4,D2,L2,V0,M2} I { alpha5( skol11 ), !
% 5.39/5.82 well_founded_relation( skol11 ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := skol11
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (268) {G1,W6,D3,L2,V0,M2} R(52,50) { ! is_well_founded_in(
% 5.39/5.82 skol11, relation_field( skol11 ) ), ! well_founded_relation( skol11 ) }.
% 5.39/5.82 parent0: (35489) {G1,W6,D3,L2,V0,M2} { ! is_well_founded_in( skol11,
% 5.39/5.82 relation_field( skol11 ) ), ! well_founded_relation( skol11 ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35490) {G1,W10,D4,L3,V0,M3} { ! well_founded_relation( skol11
% 5.39/5.82 ), ! relation( skol11 ), alpha2( skol11, skol3( skol11, relation_field(
% 5.39/5.82 skol11 ) ) ) }.
% 5.39/5.82 parent0[0]: (268) {G1,W6,D3,L2,V0,M2} R(52,50) { ! is_well_founded_in(
% 5.39/5.82 skol11, relation_field( skol11 ) ), ! well_founded_relation( skol11 ) }.
% 5.39/5.82 parent1[2]: (15) {G0,W10,D3,L3,V2,M3} I { ! relation( X ), alpha2( X, skol3
% 5.39/5.82 ( X, Y ) ), is_well_founded_in( X, Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 X := skol11
% 5.39/5.82 Y := relation_field( skol11 )
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35491) {G1,W8,D4,L2,V0,M2} { ! well_founded_relation( skol11
% 5.39/5.82 ), alpha2( skol11, skol3( skol11, relation_field( skol11 ) ) ) }.
% 5.39/5.82 parent0[1]: (35490) {G1,W10,D4,L3,V0,M3} { ! well_founded_relation( skol11
% 5.39/5.82 ), ! relation( skol11 ), alpha2( skol11, skol3( skol11, relation_field(
% 5.39/5.82 skol11 ) ) ) }.
% 5.39/5.82 parent1[0]: (48) {G0,W2,D2,L1,V0,M1} I { relation( skol11 ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (271) {G2,W8,D4,L2,V0,M2} R(268,15);r(48) { !
% 5.39/5.82 well_founded_relation( skol11 ), alpha2( skol11, skol3( skol11,
% 5.39/5.82 relation_field( skol11 ) ) ) }.
% 5.39/5.82 parent0: (35491) {G1,W8,D4,L2,V0,M2} { ! well_founded_relation( skol11 ),
% 5.39/5.82 alpha2( skol11, skol3( skol11, relation_field( skol11 ) ) ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 eqswap: (35492) {G0,W9,D2,L3,V2,M3} { empty_set = X, ! alpha4( Y, X ),
% 5.39/5.82 alpha2( Y, X ) }.
% 5.39/5.82 parent0[0]: (18) {G0,W9,D2,L3,V2,M3} I { Y = empty_set, ! alpha4( X, Y ),
% 5.39/5.82 alpha2( X, Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := Y
% 5.39/5.82 Y := X
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 paramod: (35493) {G1,W8,D2,L3,V2,M3} { empty( X ), ! alpha4( Y, X ),
% 5.39/5.82 alpha2( Y, X ) }.
% 5.39/5.82 parent0[0]: (35492) {G0,W9,D2,L3,V2,M3} { empty_set = X, ! alpha4( Y, X )
% 5.39/5.82 , alpha2( Y, X ) }.
% 5.39/5.82 parent1[0; 1]: (25) {G0,W2,D2,L1,V0,M1} I { empty( empty_set ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (326) {G1,W8,D2,L3,V2,M3} P(18,25) { empty( X ), ! alpha4( Y,
% 5.39/5.82 X ), alpha2( Y, X ) }.
% 5.39/5.82 parent0: (35493) {G1,W8,D2,L3,V2,M3} { empty( X ), ! alpha4( Y, X ),
% 5.39/5.82 alpha2( Y, X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 2 ==> 2
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35494) {G1,W11,D3,L3,V2,M3} { ! alpha4( X, Y ), ! in( skol2(
% 5.39/5.82 X, Y ), Y ), alpha3( X, Y ) }.
% 5.39/5.82 parent0[2]: (19) {G0,W11,D3,L3,V3,M3} I { ! alpha4( X, Y ), ! in( Z, Y ), !
% 5.39/5.82 disjoint( fiber( X, Z ), Y ) }.
% 5.39/5.82 parent1[0]: (12) {G0,W10,D4,L2,V2,M2} I { disjoint( fiber( X, skol2( X, Y )
% 5.39/5.82 ), Y ), alpha3( X, Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 Z := skol2( X, Y )
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (344) {G1,W11,D3,L3,V2,M3} R(19,12) { ! alpha4( X, Y ), ! in(
% 5.39/5.82 skol2( X, Y ), Y ), alpha3( X, Y ) }.
% 5.39/5.82 parent0: (35494) {G1,W11,D3,L3,V2,M3} { ! alpha4( X, Y ), ! in( skol2( X,
% 5.39/5.82 Y ), Y ), alpha3( X, Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 2 ==> 2
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35495) {G2,W5,D3,L2,V0,M2} { ! empty( skol1( skol11 ) ),
% 5.39/5.82 alpha5( skol11 ) }.
% 5.39/5.82 parent0[0]: (102) {G1,W5,D2,L2,V2,M2} R(7,54) { ! alpha1( X, Y ), ! empty(
% 5.39/5.82 Y ) }.
% 5.39/5.82 parent1[0]: (82) {G1,W6,D3,L2,V0,M2} R(6,50);r(48) { alpha1( skol11, skol1
% 5.39/5.82 ( skol11 ) ), alpha5( skol11 ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := skol11
% 5.39/5.82 Y := skol1( skol11 )
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (356) {G2,W5,D3,L2,V0,M2} R(82,102) { alpha5( skol11 ), !
% 5.39/5.82 empty( skol1( skol11 ) ) }.
% 5.39/5.82 parent0: (35495) {G2,W5,D3,L2,V0,M2} { ! empty( skol1( skol11 ) ), alpha5
% 5.39/5.82 ( skol11 ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 1
% 5.39/5.82 1 ==> 0
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35496) {G1,W5,D3,L2,V0,M2} { well_founded_relation( skol11 )
% 5.39/5.82 , ! empty( skol1( skol11 ) ) }.
% 5.39/5.82 parent0[0]: (51) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ),
% 5.39/5.82 well_founded_relation( X ) }.
% 5.39/5.82 parent1[0]: (356) {G2,W5,D3,L2,V0,M2} R(82,102) { alpha5( skol11 ), ! empty
% 5.39/5.82 ( skol1( skol11 ) ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := skol11
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (362) {G3,W5,D3,L2,V0,M2} R(356,51) { ! empty( skol1( skol11 )
% 5.39/5.82 ), well_founded_relation( skol11 ) }.
% 5.39/5.82 parent0: (35496) {G1,W5,D3,L2,V0,M2} { well_founded_relation( skol11 ), !
% 5.39/5.82 empty( skol1( skol11 ) ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 1
% 5.39/5.82 1 ==> 0
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35497) {G1,W13,D4,L3,V4,M3} { ! alpha3( X, Y ), ! disjoint(
% 5.39/5.82 fiber( X, skol4( Z, Y ) ), Y ), alpha4( T, Y ) }.
% 5.39/5.82 parent0[1]: (10) {G0,W11,D3,L3,V3,M3} I { ! alpha3( X, Y ), ! in( Z, Y ), !
% 5.39/5.82 disjoint( fiber( X, Z ), Y ) }.
% 5.39/5.82 parent1[0]: (20) {G0,W8,D3,L2,V3,M2} I { in( skol4( Z, Y ), Y ), alpha4( X
% 5.39/5.82 , Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 Z := skol4( Z, Y )
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 X := T
% 5.39/5.82 Y := Y
% 5.39/5.82 Z := Z
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (376) {G1,W13,D4,L3,V4,M3} R(20,10) { alpha4( X, Y ), ! alpha3
% 5.39/5.82 ( Z, Y ), ! disjoint( fiber( Z, skol4( T, Y ) ), Y ) }.
% 5.39/5.82 parent0: (35497) {G1,W13,D4,L3,V4,M3} { ! alpha3( X, Y ), ! disjoint(
% 5.39/5.82 fiber( X, skol4( Z, Y ) ), Y ), alpha4( T, Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := Z
% 5.39/5.82 Y := Y
% 5.39/5.82 Z := T
% 5.39/5.82 T := X
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 1
% 5.39/5.82 1 ==> 2
% 5.39/5.82 2 ==> 0
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35498) {G1,W6,D3,L2,V1,M2} { empty( X ), in( skol5( X ), X )
% 5.39/5.82 }.
% 5.39/5.82 parent0[0]: (43) {G0,W8,D2,L3,V2,M3} I { ! element( X, Y ), empty( Y ), in
% 5.39/5.82 ( X, Y ) }.
% 5.39/5.82 parent1[0]: (24) {G0,W4,D3,L1,V1,M1} I { element( skol5( X ), X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := skol5( X )
% 5.39/5.82 Y := X
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (470) {G1,W6,D3,L2,V1,M2} R(43,24) { empty( X ), in( skol5( X
% 5.39/5.82 ), X ) }.
% 5.39/5.82 parent0: (35498) {G1,W6,D3,L2,V1,M2} { empty( X ), in( skol5( X ), X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35499) {G1,W7,D3,L2,V2,M2} { ! in( X, Y ), ! element( Y,
% 5.39/5.82 powerset( empty_set ) ) }.
% 5.39/5.82 parent0[2]: (47) {G0,W9,D3,L3,V3,M3} I { ! in( X, Y ), ! element( Y,
% 5.39/5.82 powerset( Z ) ), ! empty( Z ) }.
% 5.39/5.82 parent1[0]: (25) {G0,W2,D2,L1,V0,M1} I { empty( empty_set ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 Z := empty_set
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (630) {G1,W7,D3,L2,V2,M2} R(47,25) { ! in( X, Y ), ! element(
% 5.39/5.82 Y, powerset( empty_set ) ) }.
% 5.39/5.82 parent0: (35499) {G1,W7,D3,L2,V2,M2} { ! in( X, Y ), ! element( Y,
% 5.39/5.82 powerset( empty_set ) ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35500) {G1,W6,D3,L2,V0,M2} { well_founded_relation( skol11 )
% 5.39/5.82 , is_well_founded_in( skol11, relation_field( skol11 ) ) }.
% 5.39/5.82 parent0[0]: (51) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ),
% 5.39/5.82 well_founded_relation( X ) }.
% 5.39/5.82 parent1[0]: (49) {G0,W6,D3,L2,V0,M2} I { alpha5( skol11 ),
% 5.39/5.82 is_well_founded_in( skol11, relation_field( skol11 ) ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := skol11
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (660) {G1,W6,D3,L2,V0,M2} R(49,51) { is_well_founded_in(
% 5.39/5.82 skol11, relation_field( skol11 ) ), well_founded_relation( skol11 ) }.
% 5.39/5.82 parent0: (35500) {G1,W6,D3,L2,V0,M2} { well_founded_relation( skol11 ),
% 5.39/5.82 is_well_founded_in( skol11, relation_field( skol11 ) ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 1
% 5.39/5.82 1 ==> 0
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35501) {G1,W6,D2,L2,V2,M2} { ! in( X, Y ), ! subset( Y,
% 5.39/5.82 empty_set ) }.
% 5.39/5.82 parent0[1]: (630) {G1,W7,D3,L2,V2,M2} R(47,25) { ! in( X, Y ), ! element( Y
% 5.39/5.82 , powerset( empty_set ) ) }.
% 5.39/5.82 parent1[1]: (45) {G0,W7,D3,L2,V2,M2} I { ! subset( X, Y ), element( X,
% 5.39/5.82 powerset( Y ) ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 X := Y
% 5.39/5.82 Y := empty_set
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (1397) {G2,W6,D2,L2,V2,M2} R(630,45) { ! in( X, Y ), ! subset
% 5.39/5.82 ( Y, empty_set ) }.
% 5.39/5.82 parent0: (35501) {G1,W6,D2,L2,V2,M2} { ! in( X, Y ), ! subset( Y,
% 5.39/5.82 empty_set ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 Y := Y
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35502) {G2,W5,D2,L2,V1,M2} { ! subset( X, empty_set ), empty
% 5.39/5.82 ( X ) }.
% 5.39/5.82 parent0[0]: (1397) {G2,W6,D2,L2,V2,M2} R(630,45) { ! in( X, Y ), ! subset(
% 5.39/5.82 Y, empty_set ) }.
% 5.39/5.82 parent1[1]: (470) {G1,W6,D3,L2,V1,M2} R(43,24) { empty( X ), in( skol5( X )
% 5.39/5.82 , X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := skol5( X )
% 5.39/5.82 Y := X
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (1486) {G3,W5,D2,L2,V1,M2} R(1397,470) { ! subset( X,
% 5.39/5.82 empty_set ), empty( X ) }.
% 5.39/5.82 parent0: (35502) {G2,W5,D2,L2,V1,M2} { ! subset( X, empty_set ), empty( X
% 5.39/5.82 ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 eqswap: (35503) {G0,W5,D2,L2,V1,M2} { empty_set = X, ! empty( X ) }.
% 5.39/5.82 parent0[1]: (54) {G0,W5,D2,L2,V1,M2} I { ! empty( X ), X = empty_set }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35504) {G1,W6,D2,L2,V1,M2} { empty_set = X, ! subset( X,
% 5.39/5.82 empty_set ) }.
% 5.39/5.82 parent0[1]: (35503) {G0,W5,D2,L2,V1,M2} { empty_set = X, ! empty( X ) }.
% 5.39/5.82 parent1[1]: (1486) {G3,W5,D2,L2,V1,M2} R(1397,470) { ! subset( X, empty_set
% 5.39/5.82 ), empty( X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 eqswap: (35505) {G1,W6,D2,L2,V1,M2} { X = empty_set, ! subset( X,
% 5.39/5.82 empty_set ) }.
% 5.39/5.82 parent0[0]: (35504) {G1,W6,D2,L2,V1,M2} { empty_set = X, ! subset( X,
% 5.39/5.82 empty_set ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (1568) {G4,W6,D2,L2,V1,M2} R(1486,54) { ! subset( X, empty_set
% 5.39/5.82 ), X = empty_set }.
% 5.39/5.82 parent0: (35505) {G1,W6,D2,L2,V1,M2} { X = empty_set, ! subset( X,
% 5.39/5.82 empty_set ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 1
% 5.39/5.82 1 ==> 0
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35506) {G2,W12,D3,L5,V0,M5} { ! relation( skol11 ), ! alpha2
% 5.39/5.82 ( skol11, skol1( skol11 ) ), ! relation( skol11 ), well_founded_relation
% 5.39/5.82 ( skol11 ), well_founded_relation( skol11 ) }.
% 5.39/5.82 parent0[1]: (187) {G1,W14,D3,L5,V2,M5} R(13,5) { ! relation( X ), !
% 5.39/5.82 is_well_founded_in( X, relation_field( Y ) ), ! alpha2( X, skol1( Y ) ),
% 5.39/5.82 ! relation( Y ), well_founded_relation( Y ) }.
% 5.39/5.82 parent1[0]: (660) {G1,W6,D3,L2,V0,M2} R(49,51) { is_well_founded_in( skol11
% 5.39/5.82 , relation_field( skol11 ) ), well_founded_relation( skol11 ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := skol11
% 5.39/5.82 Y := skol11
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 factor: (35507) {G2,W10,D3,L4,V0,M4} { ! relation( skol11 ), ! alpha2(
% 5.39/5.82 skol11, skol1( skol11 ) ), well_founded_relation( skol11 ),
% 5.39/5.82 well_founded_relation( skol11 ) }.
% 5.39/5.82 parent0[0, 2]: (35506) {G2,W12,D3,L5,V0,M5} { ! relation( skol11 ), !
% 5.39/5.82 alpha2( skol11, skol1( skol11 ) ), ! relation( skol11 ),
% 5.39/5.82 well_founded_relation( skol11 ), well_founded_relation( skol11 ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 factor: (35508) {G2,W8,D3,L3,V0,M3} { ! relation( skol11 ), ! alpha2(
% 5.39/5.82 skol11, skol1( skol11 ) ), well_founded_relation( skol11 ) }.
% 5.39/5.82 parent0[2, 3]: (35507) {G2,W10,D3,L4,V0,M4} { ! relation( skol11 ), !
% 5.39/5.82 alpha2( skol11, skol1( skol11 ) ), well_founded_relation( skol11 ),
% 5.39/5.82 well_founded_relation( skol11 ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35509) {G1,W6,D3,L2,V0,M2} { ! alpha2( skol11, skol1( skol11
% 5.39/5.82 ) ), well_founded_relation( skol11 ) }.
% 5.39/5.82 parent0[0]: (35508) {G2,W8,D3,L3,V0,M3} { ! relation( skol11 ), ! alpha2(
% 5.39/5.82 skol11, skol1( skol11 ) ), well_founded_relation( skol11 ) }.
% 5.39/5.82 parent1[0]: (48) {G0,W2,D2,L1,V0,M1} I { relation( skol11 ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (7764) {G2,W6,D3,L2,V0,M2} R(187,660);f;f;r(48) { ! alpha2(
% 5.39/5.82 skol11, skol1( skol11 ) ), well_founded_relation( skol11 ) }.
% 5.39/5.82 parent0: (35509) {G1,W6,D3,L2,V0,M2} { ! alpha2( skol11, skol1( skol11 ) )
% 5.39/5.82 , well_founded_relation( skol11 ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 eqswap: (35510) {G0,W9,D2,L3,V2,M3} { empty_set = X, ! alpha4( Y, X ),
% 5.39/5.82 alpha2( Y, X ) }.
% 5.39/5.82 parent0[0]: (18) {G0,W9,D2,L3,V2,M3} I { Y = empty_set, ! alpha4( X, Y ),
% 5.39/5.82 alpha2( X, Y ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := Y
% 5.39/5.82 Y := X
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35511) {G1,W10,D3,L3,V0,M3} { well_founded_relation( skol11 )
% 5.39/5.82 , empty_set = skol1( skol11 ), ! alpha4( skol11, skol1( skol11 ) ) }.
% 5.39/5.82 parent0[0]: (7764) {G2,W6,D3,L2,V0,M2} R(187,660);f;f;r(48) { ! alpha2(
% 5.39/5.82 skol11, skol1( skol11 ) ), well_founded_relation( skol11 ) }.
% 5.39/5.82 parent1[2]: (35510) {G0,W9,D2,L3,V2,M3} { empty_set = X, ! alpha4( Y, X )
% 5.39/5.82 , alpha2( Y, X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 X := skol1( skol11 )
% 5.39/5.82 Y := skol11
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 eqswap: (35512) {G1,W10,D3,L3,V0,M3} { skol1( skol11 ) = empty_set,
% 5.39/5.82 well_founded_relation( skol11 ), ! alpha4( skol11, skol1( skol11 ) ) }.
% 5.39/5.82 parent0[1]: (35511) {G1,W10,D3,L3,V0,M3} { well_founded_relation( skol11 )
% 5.39/5.82 , empty_set = skol1( skol11 ), ! alpha4( skol11, skol1( skol11 ) ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (7779) {G3,W10,D3,L3,V0,M3} R(7764,18) { well_founded_relation
% 5.39/5.82 ( skol11 ), skol1( skol11 ) ==> empty_set, ! alpha4( skol11, skol1(
% 5.39/5.82 skol11 ) ) }.
% 5.39/5.82 parent0: (35512) {G1,W10,D3,L3,V0,M3} { skol1( skol11 ) = empty_set,
% 5.39/5.82 well_founded_relation( skol11 ), ! alpha4( skol11, skol1( skol11 ) ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 1
% 5.39/5.82 1 ==> 0
% 5.39/5.82 2 ==> 2
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35513) {G1,W6,D2,L2,V1,M2} { ! is_well_founded_in( skol11, X
% 5.39/5.82 ), ! alpha2( skol11, X ) }.
% 5.39/5.82 parent0[0]: (188) {G1,W8,D2,L3,V2,M3} R(13,39) { ! relation( X ), !
% 5.39/5.82 is_well_founded_in( X, Y ), ! alpha2( X, Y ) }.
% 5.39/5.82 parent1[0]: (48) {G0,W2,D2,L1,V0,M1} I { relation( skol11 ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := skol11
% 5.39/5.82 Y := X
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (7824) {G2,W6,D2,L2,V1,M2} R(188,48) { ! is_well_founded_in(
% 5.39/5.82 skol11, X ), ! alpha2( skol11, X ) }.
% 5.39/5.82 parent0: (35513) {G1,W6,D2,L2,V1,M2} { ! is_well_founded_in( skol11, X ),
% 5.39/5.82 ! alpha2( skol11, X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 0
% 5.39/5.82 1 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35514) {G2,W8,D2,L3,V1,M3} { ! is_well_founded_in( skol11, X
% 5.39/5.82 ), empty( X ), ! alpha4( skol11, X ) }.
% 5.39/5.82 parent0[1]: (7824) {G2,W6,D2,L2,V1,M2} R(188,48) { ! is_well_founded_in(
% 5.39/5.82 skol11, X ), ! alpha2( skol11, X ) }.
% 5.39/5.82 parent1[2]: (326) {G1,W8,D2,L3,V2,M3} P(18,25) { empty( X ), ! alpha4( Y, X
% 5.39/5.82 ), alpha2( Y, X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 X := X
% 5.39/5.82 Y := skol11
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (10115) {G3,W8,D2,L3,V1,M3} R(326,7824) { empty( X ), ! alpha4
% 5.39/5.82 ( skol11, X ), ! is_well_founded_in( skol11, X ) }.
% 5.39/5.82 parent0: (35514) {G2,W8,D2,L3,V1,M3} { ! is_well_founded_in( skol11, X ),
% 5.39/5.82 empty( X ), ! alpha4( skol11, X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 X := X
% 5.39/5.82 end
% 5.39/5.82 permutation0:
% 5.39/5.82 0 ==> 2
% 5.39/5.82 1 ==> 0
% 5.39/5.82 2 ==> 1
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 resolution: (35516) {G4,W10,D3,L3,V0,M3} { well_founded_relation( skol11 )
% 5.39/5.82 , ! alpha4( skol11, skol1( skol11 ) ), ! is_well_founded_in( skol11,
% 5.39/5.82 skol1( skol11 ) ) }.
% 5.39/5.82 parent0[0]: (362) {G3,W5,D3,L2,V0,M2} R(356,51) { ! empty( skol1( skol11 )
% 5.39/5.82 ), well_founded_relation( skol11 ) }.
% 5.39/5.82 parent1[0]: (10115) {G3,W8,D2,L3,V1,M3} R(326,7824) { empty( X ), ! alpha4
% 5.39/5.82 ( skol11, X ), ! is_well_founded_in( skol11, X ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 X := skol1( skol11 )
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 paramod: (35518) {G4,W15,D3,L5,V0,M5} { ! is_well_founded_in( skol11,
% 5.39/5.82 empty_set ), well_founded_relation( skol11 ), ! alpha4( skol11, skol1(
% 5.39/5.82 skol11 ) ), well_founded_relation( skol11 ), ! alpha4( skol11, skol1(
% 5.39/5.82 skol11 ) ) }.
% 5.39/5.82 parent0[1]: (7779) {G3,W10,D3,L3,V0,M3} R(7764,18) { well_founded_relation
% 5.39/5.82 ( skol11 ), skol1( skol11 ) ==> empty_set, ! alpha4( skol11, skol1(
% 5.39/5.82 skol11 ) ) }.
% 5.39/5.82 parent1[2; 3]: (35516) {G4,W10,D3,L3,V0,M3} { well_founded_relation(
% 5.39/5.82 skol11 ), ! alpha4( skol11, skol1( skol11 ) ), ! is_well_founded_in(
% 5.39/5.82 skol11, skol1( skol11 ) ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82 substitution1:
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 factor: (35530) {G4,W11,D3,L4,V0,M4} { ! is_well_founded_in( skol11,
% 5.39/5.82 empty_set ), well_founded_relation( skol11 ), ! alpha4( skol11, skol1(
% 5.39/5.82 skol11 ) ), well_founded_relation( skol11 ) }.
% 5.39/5.82 parent0[2, 4]: (35518) {G4,W15,D3,L5,V0,M5} { ! is_well_founded_in( skol11
% 5.39/5.82 , empty_set ), well_founded_relation( skol11 ), ! alpha4( skol11, skol1(
% 5.39/5.82 skol11 ) ), well_founded_relation( skol11 ), ! alpha4( skol11, skol1(
% 5.39/5.82 skol11 ) ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 factor: (35531) {G4,W9,D3,L3,V0,M3} { ! is_well_founded_in( skol11,
% 5.39/5.82 empty_set ), well_founded_relation( skol11 ), ! alpha4( skol11, skol1(
% 5.39/5.82 skol11 ) ) }.
% 5.39/5.82 parent0[1, 3]: (35530) {G4,W11,D3,L4,V0,M4} { ! is_well_founded_in( skol11
% 5.39/5.82 , empty_set ), well_founded_relation( skol11 ), ! alpha4( skol11, skol1(
% 5.39/5.82 skol11 ) ), well_founded_relation( skol11 ) }.
% 5.39/5.82 substitution0:
% 5.39/5.82 end
% 5.39/5.82
% 5.39/5.82 subsumption: (10450) {G4,W9,D3,L3,V0,M3} R(10115,362);d(7779) { ! alpha4(
% 5.39/5.82 skol11, skol1( skol11 ) ), well_founded_relation( skol11 ), !
% 5.39/5.82 is_well_founded_in( skol11, empty_set ) }.
% 5.39/5.83 parent0: (35531) {G4,W9,D3,L3,V0,M3} { ! is_well_founded_in( skol11,
% 5.39/5.83 empty_set ), well_founded_relation( skol11 ), ! alpha4( skol11, skol1(
% 5.39/5.83 skol11 ) ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 end
% 5.39/5.83 permutation0:
% 5.39/5.83 0 ==> 2
% 5.39/5.83 1 ==> 1
% 5.39/5.83 2 ==> 0
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 resolution: (35599) {G2,W14,D4,L5,V1,M5} { ! well_founded_relation( skol11
% 5.39/5.83 ), ! relation( skol11 ), ! relation( skol11 ), ! well_founded_relation(
% 5.39/5.83 skol11 ), ! alpha1( skol11, skol3( X, relation_field( skol11 ) ) ) }.
% 5.39/5.83 parent0[0]: (268) {G1,W6,D3,L2,V0,M2} R(52,50) { ! is_well_founded_in(
% 5.39/5.83 skol11, relation_field( skol11 ) ), ! well_founded_relation( skol11 ) }.
% 5.39/5.83 parent1[1]: (212) {G1,W16,D4,L5,V3,M5} R(14,4) { ! relation( X ),
% 5.39/5.83 is_well_founded_in( X, relation_field( Y ) ), ! relation( Y ), !
% 5.39/5.83 well_founded_relation( Y ), ! alpha1( Y, skol3( Z, relation_field( Y ) )
% 5.39/5.83 ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 end
% 5.39/5.83 substitution1:
% 5.39/5.83 X := skol11
% 5.39/5.83 Y := skol11
% 5.39/5.83 Z := X
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 factor: (35600) {G2,W12,D4,L4,V1,M4} { ! well_founded_relation( skol11 ),
% 5.39/5.83 ! relation( skol11 ), ! relation( skol11 ), ! alpha1( skol11, skol3( X,
% 5.39/5.83 relation_field( skol11 ) ) ) }.
% 5.39/5.83 parent0[0, 3]: (35599) {G2,W14,D4,L5,V1,M5} { ! well_founded_relation(
% 5.39/5.83 skol11 ), ! relation( skol11 ), ! relation( skol11 ), !
% 5.39/5.83 well_founded_relation( skol11 ), ! alpha1( skol11, skol3( X,
% 5.39/5.83 relation_field( skol11 ) ) ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 factor: (35601) {G2,W10,D4,L3,V1,M3} { ! well_founded_relation( skol11 ),
% 5.39/5.83 ! relation( skol11 ), ! alpha1( skol11, skol3( X, relation_field( skol11
% 5.39/5.83 ) ) ) }.
% 5.39/5.83 parent0[1, 2]: (35600) {G2,W12,D4,L4,V1,M4} { ! well_founded_relation(
% 5.39/5.83 skol11 ), ! relation( skol11 ), ! relation( skol11 ), ! alpha1( skol11,
% 5.39/5.83 skol3( X, relation_field( skol11 ) ) ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 resolution: (35602) {G1,W8,D4,L2,V1,M2} { ! well_founded_relation( skol11
% 5.39/5.83 ), ! alpha1( skol11, skol3( X, relation_field( skol11 ) ) ) }.
% 5.39/5.83 parent0[1]: (35601) {G2,W10,D4,L3,V1,M3} { ! well_founded_relation( skol11
% 5.39/5.83 ), ! relation( skol11 ), ! alpha1( skol11, skol3( X, relation_field(
% 5.39/5.83 skol11 ) ) ) }.
% 5.39/5.83 parent1[0]: (48) {G0,W2,D2,L1,V0,M1} I { relation( skol11 ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 end
% 5.39/5.83 substitution1:
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 subsumption: (11997) {G2,W8,D4,L2,V1,M2} R(212,268);f;f;r(48) { !
% 5.39/5.83 well_founded_relation( skol11 ), ! alpha1( skol11, skol3( X,
% 5.39/5.83 relation_field( skol11 ) ) ) }.
% 5.39/5.83 parent0: (35602) {G1,W8,D4,L2,V1,M2} { ! well_founded_relation( skol11 ),
% 5.39/5.83 ! alpha1( skol11, skol3( X, relation_field( skol11 ) ) ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 end
% 5.39/5.83 permutation0:
% 5.39/5.83 0 ==> 0
% 5.39/5.83 1 ==> 1
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 eqswap: (35603) {G4,W6,D2,L2,V1,M2} { empty_set = X, ! subset( X,
% 5.39/5.83 empty_set ) }.
% 5.39/5.83 parent0[1]: (1568) {G4,W6,D2,L2,V1,M2} R(1486,54) { ! subset( X, empty_set
% 5.39/5.83 ), X = empty_set }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 resolution: (35604) {G2,W8,D3,L2,V1,M2} { empty_set = skol3( X, empty_set
% 5.39/5.83 ), is_well_founded_in( skol11, empty_set ) }.
% 5.39/5.83 parent0[1]: (35603) {G4,W6,D2,L2,V1,M2} { empty_set = X, ! subset( X,
% 5.39/5.83 empty_set ) }.
% 5.39/5.83 parent1[0]: (215) {G1,W8,D3,L2,V2,M2} R(14,48) { subset( skol3( X, Y ), Y )
% 5.39/5.83 , is_well_founded_in( skol11, Y ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := skol3( X, empty_set )
% 5.39/5.83 end
% 5.39/5.83 substitution1:
% 5.39/5.83 X := X
% 5.39/5.83 Y := empty_set
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 eqswap: (35605) {G2,W8,D3,L2,V1,M2} { skol3( X, empty_set ) = empty_set,
% 5.39/5.83 is_well_founded_in( skol11, empty_set ) }.
% 5.39/5.83 parent0[0]: (35604) {G2,W8,D3,L2,V1,M2} { empty_set = skol3( X, empty_set
% 5.39/5.83 ), is_well_founded_in( skol11, empty_set ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 subsumption: (12492) {G5,W8,D3,L2,V1,M2} R(215,1568) { is_well_founded_in(
% 5.39/5.83 skol11, empty_set ), skol3( X, empty_set ) ==> empty_set }.
% 5.39/5.83 parent0: (35605) {G2,W8,D3,L2,V1,M2} { skol3( X, empty_set ) = empty_set,
% 5.39/5.83 is_well_founded_in( skol11, empty_set ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 end
% 5.39/5.83 permutation0:
% 5.39/5.83 0 ==> 1
% 5.39/5.83 1 ==> 0
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 paramod: (35607) {G3,W10,D2,L4,V1,M4} { ! empty( empty_set ),
% 5.39/5.83 is_well_founded_in( skol11, empty_set ), ! relation( X ),
% 5.39/5.83 is_well_founded_in( X, empty_set ) }.
% 5.39/5.83 parent0[1]: (12492) {G5,W8,D3,L2,V1,M2} R(215,1568) { is_well_founded_in(
% 5.39/5.83 skol11, empty_set ), skol3( X, empty_set ) ==> empty_set }.
% 5.39/5.83 parent1[2; 2]: (253) {G2,W9,D3,L3,V2,M3} R(15,141) { ! relation( X ),
% 5.39/5.83 is_well_founded_in( X, Y ), ! empty( skol3( X, Y ) ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 end
% 5.39/5.83 substitution1:
% 5.39/5.83 X := X
% 5.39/5.83 Y := empty_set
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 resolution: (35610) {G1,W8,D2,L3,V1,M3} { is_well_founded_in( skol11,
% 5.39/5.83 empty_set ), ! relation( X ), is_well_founded_in( X, empty_set ) }.
% 5.39/5.83 parent0[0]: (35607) {G3,W10,D2,L4,V1,M4} { ! empty( empty_set ),
% 5.39/5.83 is_well_founded_in( skol11, empty_set ), ! relation( X ),
% 5.39/5.83 is_well_founded_in( X, empty_set ) }.
% 5.39/5.83 parent1[0]: (25) {G0,W2,D2,L1,V0,M1} I { empty( empty_set ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 end
% 5.39/5.83 substitution1:
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 subsumption: (18172) {G6,W8,D2,L3,V1,M3} P(12492,253);r(25) { ! relation( X
% 5.39/5.83 ), is_well_founded_in( X, empty_set ), is_well_founded_in( skol11,
% 5.39/5.83 empty_set ) }.
% 5.39/5.83 parent0: (35610) {G1,W8,D2,L3,V1,M3} { is_well_founded_in( skol11,
% 5.39/5.83 empty_set ), ! relation( X ), is_well_founded_in( X, empty_set ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 end
% 5.39/5.83 permutation0:
% 5.39/5.83 0 ==> 2
% 5.39/5.83 1 ==> 0
% 5.39/5.83 2 ==> 1
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 factor: (35612) {G6,W5,D2,L2,V0,M2} { ! relation( skol11 ),
% 5.39/5.83 is_well_founded_in( skol11, empty_set ) }.
% 5.39/5.83 parent0[1, 2]: (18172) {G6,W8,D2,L3,V1,M3} P(12492,253);r(25) { ! relation
% 5.39/5.83 ( X ), is_well_founded_in( X, empty_set ), is_well_founded_in( skol11,
% 5.39/5.83 empty_set ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := skol11
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 resolution: (35613) {G1,W3,D2,L1,V0,M1} { is_well_founded_in( skol11,
% 5.39/5.83 empty_set ) }.
% 5.39/5.83 parent0[0]: (35612) {G6,W5,D2,L2,V0,M2} { ! relation( skol11 ),
% 5.39/5.83 is_well_founded_in( skol11, empty_set ) }.
% 5.39/5.83 parent1[0]: (48) {G0,W2,D2,L1,V0,M1} I { relation( skol11 ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 end
% 5.39/5.83 substitution1:
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 subsumption: (18173) {G7,W3,D2,L1,V0,M1} F(18172);r(48) {
% 5.39/5.83 is_well_founded_in( skol11, empty_set ) }.
% 5.39/5.83 parent0: (35613) {G1,W3,D2,L1,V0,M1} { is_well_founded_in( skol11,
% 5.39/5.83 empty_set ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 end
% 5.39/5.83 permutation0:
% 5.39/5.83 0 ==> 0
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 resolution: (35614) {G5,W6,D3,L2,V0,M2} { ! alpha4( skol11, skol1( skol11
% 5.39/5.83 ) ), well_founded_relation( skol11 ) }.
% 5.39/5.83 parent0[2]: (10450) {G4,W9,D3,L3,V0,M3} R(10115,362);d(7779) { ! alpha4(
% 5.39/5.83 skol11, skol1( skol11 ) ), well_founded_relation( skol11 ), !
% 5.39/5.83 is_well_founded_in( skol11, empty_set ) }.
% 5.39/5.83 parent1[0]: (18173) {G7,W3,D2,L1,V0,M1} F(18172);r(48) { is_well_founded_in
% 5.39/5.83 ( skol11, empty_set ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 end
% 5.39/5.83 substitution1:
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 subsumption: (20044) {G8,W6,D3,L2,V0,M2} S(10450);r(18173) { ! alpha4(
% 5.39/5.83 skol11, skol1( skol11 ) ), well_founded_relation( skol11 ) }.
% 5.39/5.83 parent0: (35614) {G5,W6,D3,L2,V0,M2} { ! alpha4( skol11, skol1( skol11 ) )
% 5.39/5.83 , well_founded_relation( skol11 ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 end
% 5.39/5.83 permutation0:
% 5.39/5.83 0 ==> 0
% 5.39/5.83 1 ==> 1
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 resolution: (35615) {G1,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), alpha3( X, Y )
% 5.39/5.83 , alpha3( Z, Y ) }.
% 5.39/5.83 parent0[1]: (344) {G1,W11,D3,L3,V2,M3} R(19,12) { ! alpha4( X, Y ), ! in(
% 5.39/5.83 skol2( X, Y ), Y ), alpha3( X, Y ) }.
% 5.39/5.83 parent1[0]: (11) {G0,W8,D3,L2,V3,M2} I { in( skol2( Z, Y ), Y ), alpha3( X
% 5.39/5.83 , Y ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 Y := Y
% 5.39/5.83 end
% 5.39/5.83 substitution1:
% 5.39/5.83 X := Z
% 5.39/5.83 Y := Y
% 5.39/5.83 Z := X
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 subsumption: (32029) {G2,W9,D2,L3,V3,M3} R(344,11) { ! alpha4( X, Y ),
% 5.39/5.83 alpha3( X, Y ), alpha3( Z, Y ) }.
% 5.39/5.83 parent0: (35615) {G1,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), alpha3( X, Y ),
% 5.39/5.83 alpha3( Z, Y ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 Y := Y
% 5.39/5.83 Z := X
% 5.39/5.83 end
% 5.39/5.83 permutation0:
% 5.39/5.83 0 ==> 0
% 5.39/5.83 1 ==> 1
% 5.39/5.83 2 ==> 1
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 factor: (35617) {G2,W6,D2,L2,V2,M2} { ! alpha4( X, Y ), alpha3( X, Y ) }.
% 5.39/5.83 parent0[1, 2]: (32029) {G2,W9,D2,L3,V3,M3} R(344,11) { ! alpha4( X, Y ),
% 5.39/5.83 alpha3( X, Y ), alpha3( Z, Y ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 Y := Y
% 5.39/5.83 Z := X
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 subsumption: (32031) {G3,W6,D2,L2,V2,M2} F(32029) { ! alpha4( X, Y ),
% 5.39/5.83 alpha3( X, Y ) }.
% 5.39/5.83 parent0: (35617) {G2,W6,D2,L2,V2,M2} { ! alpha4( X, Y ), alpha3( X, Y )
% 5.39/5.83 }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 Y := Y
% 5.39/5.83 end
% 5.39/5.83 permutation0:
% 5.39/5.83 0 ==> 0
% 5.39/5.83 1 ==> 1
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 resolution: (35618) {G1,W6,D2,L2,V2,M2} { alpha3( X, Y ), ! alpha2( X, Y )
% 5.39/5.83 }.
% 5.39/5.83 parent0[0]: (32031) {G3,W6,D2,L2,V2,M2} F(32029) { ! alpha4( X, Y ), alpha3
% 5.39/5.83 ( X, Y ) }.
% 5.39/5.83 parent1[1]: (17) {G0,W6,D2,L2,V2,M2} I { ! alpha2( X, Y ), alpha4( X, Y )
% 5.39/5.83 }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 Y := Y
% 5.39/5.83 end
% 5.39/5.83 substitution1:
% 5.39/5.83 X := X
% 5.39/5.83 Y := Y
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 subsumption: (32078) {G4,W6,D2,L2,V2,M2} R(32031,17) { alpha3( X, Y ), !
% 5.39/5.83 alpha2( X, Y ) }.
% 5.39/5.83 parent0: (35618) {G1,W6,D2,L2,V2,M2} { alpha3( X, Y ), ! alpha2( X, Y )
% 5.39/5.83 }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 Y := Y
% 5.39/5.83 end
% 5.39/5.83 permutation0:
% 5.39/5.83 0 ==> 0
% 5.39/5.83 1 ==> 1
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 resolution: (35619) {G2,W9,D2,L3,V3,M3} { ! alpha2( X, Y ), alpha1( Z, Y )
% 5.39/5.83 , ! alpha2( Z, Y ) }.
% 5.39/5.83 parent0[1]: (140) {G1,W9,D2,L3,V3,M3} R(16,9) { ! alpha2( X, Y ), ! alpha3
% 5.39/5.83 ( Z, Y ), alpha1( Z, Y ) }.
% 5.39/5.83 parent1[0]: (32078) {G4,W6,D2,L2,V2,M2} R(32031,17) { alpha3( X, Y ), !
% 5.39/5.83 alpha2( X, Y ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 Y := Y
% 5.39/5.83 Z := Z
% 5.39/5.83 end
% 5.39/5.83 substitution1:
% 5.39/5.83 X := Z
% 5.39/5.83 Y := Y
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 subsumption: (32120) {G5,W9,D2,L3,V3,M3} R(32078,140) { ! alpha2( X, Y ), !
% 5.39/5.83 alpha2( Z, Y ), alpha1( X, Y ) }.
% 5.39/5.83 parent0: (35619) {G2,W9,D2,L3,V3,M3} { ! alpha2( X, Y ), alpha1( Z, Y ), !
% 5.39/5.83 alpha2( Z, Y ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 Y := Y
% 5.39/5.83 Z := X
% 5.39/5.83 end
% 5.39/5.83 permutation0:
% 5.39/5.83 0 ==> 0
% 5.39/5.83 1 ==> 2
% 5.39/5.83 2 ==> 0
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 factor: (35621) {G5,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), alpha1( X, Y ) }.
% 5.39/5.83 parent0[0, 1]: (32120) {G5,W9,D2,L3,V3,M3} R(32078,140) { ! alpha2( X, Y )
% 5.39/5.83 , ! alpha2( Z, Y ), alpha1( X, Y ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 Y := Y
% 5.39/5.83 Z := X
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 subsumption: (32129) {G6,W6,D2,L2,V2,M2} F(32120) { ! alpha2( X, Y ),
% 5.39/5.83 alpha1( X, Y ) }.
% 5.39/5.83 parent0: (35621) {G5,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), alpha1( X, Y )
% 5.39/5.83 }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 Y := Y
% 5.39/5.83 end
% 5.39/5.83 permutation0:
% 5.39/5.83 0 ==> 0
% 5.39/5.83 1 ==> 1
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 resolution: (35622) {G3,W8,D4,L2,V0,M2} { alpha1( skol11, skol3( skol11,
% 5.39/5.83 relation_field( skol11 ) ) ), ! well_founded_relation( skol11 ) }.
% 5.39/5.83 parent0[0]: (32129) {G6,W6,D2,L2,V2,M2} F(32120) { ! alpha2( X, Y ), alpha1
% 5.39/5.83 ( X, Y ) }.
% 5.39/5.83 parent1[1]: (271) {G2,W8,D4,L2,V0,M2} R(268,15);r(48) { !
% 5.39/5.83 well_founded_relation( skol11 ), alpha2( skol11, skol3( skol11,
% 5.39/5.83 relation_field( skol11 ) ) ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := skol11
% 5.39/5.83 Y := skol3( skol11, relation_field( skol11 ) )
% 5.39/5.83 end
% 5.39/5.83 substitution1:
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 resolution: (35623) {G3,W4,D2,L2,V0,M2} { ! well_founded_relation( skol11
% 5.39/5.83 ), ! well_founded_relation( skol11 ) }.
% 5.39/5.83 parent0[1]: (11997) {G2,W8,D4,L2,V1,M2} R(212,268);f;f;r(48) { !
% 5.39/5.83 well_founded_relation( skol11 ), ! alpha1( skol11, skol3( X,
% 5.39/5.83 relation_field( skol11 ) ) ) }.
% 5.39/5.83 parent1[0]: (35622) {G3,W8,D4,L2,V0,M2} { alpha1( skol11, skol3( skol11,
% 5.39/5.83 relation_field( skol11 ) ) ), ! well_founded_relation( skol11 ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := skol11
% 5.39/5.83 end
% 5.39/5.83 substitution1:
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 factor: (35624) {G3,W2,D2,L1,V0,M1} { ! well_founded_relation( skol11 )
% 5.39/5.83 }.
% 5.39/5.83 parent0[0, 1]: (35623) {G3,W4,D2,L2,V0,M2} { ! well_founded_relation(
% 5.39/5.83 skol11 ), ! well_founded_relation( skol11 ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 subsumption: (32144) {G7,W2,D2,L1,V0,M1} R(32129,271);r(11997) { !
% 5.39/5.83 well_founded_relation( skol11 ) }.
% 5.39/5.83 parent0: (35624) {G3,W2,D2,L1,V0,M1} { ! well_founded_relation( skol11 )
% 5.39/5.83 }.
% 5.39/5.83 substitution0:
% 5.39/5.83 end
% 5.39/5.83 permutation0:
% 5.39/5.83 0 ==> 0
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 resolution: (35625) {G8,W4,D3,L1,V0,M1} { ! alpha4( skol11, skol1( skol11
% 5.39/5.83 ) ) }.
% 5.39/5.83 parent0[0]: (32144) {G7,W2,D2,L1,V0,M1} R(32129,271);r(11997) { !
% 5.39/5.83 well_founded_relation( skol11 ) }.
% 5.39/5.83 parent1[1]: (20044) {G8,W6,D3,L2,V0,M2} S(10450);r(18173) { ! alpha4(
% 5.39/5.83 skol11, skol1( skol11 ) ), well_founded_relation( skol11 ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 end
% 5.39/5.83 substitution1:
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 subsumption: (32183) {G9,W4,D3,L1,V0,M1} R(32144,20044) { ! alpha4( skol11
% 5.39/5.83 , skol1( skol11 ) ) }.
% 5.39/5.83 parent0: (35625) {G8,W4,D3,L1,V0,M1} { ! alpha4( skol11, skol1( skol11 ) )
% 5.39/5.83 }.
% 5.39/5.83 substitution0:
% 5.39/5.83 end
% 5.39/5.83 permutation0:
% 5.39/5.83 0 ==> 0
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 resolution: (35626) {G2,W6,D3,L2,V0,M2} { alpha3( skol11, skol1( skol11 )
% 5.39/5.83 ), ! relation( skol11 ) }.
% 5.39/5.83 parent0[0]: (32144) {G7,W2,D2,L1,V0,M1} R(32129,271);r(11997) { !
% 5.39/5.83 well_founded_relation( skol11 ) }.
% 5.39/5.83 parent1[2]: (112) {G1,W8,D3,L3,V1,M3} R(8,6) { alpha3( X, skol1( X ) ), !
% 5.39/5.83 relation( X ), well_founded_relation( X ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 end
% 5.39/5.83 substitution1:
% 5.39/5.83 X := skol11
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 resolution: (35627) {G1,W4,D3,L1,V0,M1} { alpha3( skol11, skol1( skol11 )
% 5.39/5.83 ) }.
% 5.39/5.83 parent0[1]: (35626) {G2,W6,D3,L2,V0,M2} { alpha3( skol11, skol1( skol11 )
% 5.39/5.83 ), ! relation( skol11 ) }.
% 5.39/5.83 parent1[0]: (48) {G0,W2,D2,L1,V0,M1} I { relation( skol11 ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 end
% 5.39/5.83 substitution1:
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 subsumption: (32200) {G8,W4,D3,L1,V0,M1} R(32144,112);r(48) { alpha3(
% 5.39/5.83 skol11, skol1( skol11 ) ) }.
% 5.39/5.83 parent0: (35627) {G1,W4,D3,L1,V0,M1} { alpha3( skol11, skol1( skol11 ) )
% 5.39/5.83 }.
% 5.39/5.83 substitution0:
% 5.39/5.83 end
% 5.39/5.83 permutation0:
% 5.39/5.83 0 ==> 0
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 resolution: (35628) {G1,W9,D2,L3,V3,M3} { alpha4( X, Y ), ! alpha3( Z, Y )
% 5.39/5.83 , alpha4( Z, Y ) }.
% 5.39/5.83 parent0[2]: (376) {G1,W13,D4,L3,V4,M3} R(20,10) { alpha4( X, Y ), ! alpha3
% 5.39/5.83 ( Z, Y ), ! disjoint( fiber( Z, skol4( T, Y ) ), Y ) }.
% 5.39/5.83 parent1[0]: (21) {G0,W10,D4,L2,V2,M2} I { disjoint( fiber( X, skol4( X, Y )
% 5.39/5.83 ), Y ), alpha4( X, Y ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 Y := Y
% 5.39/5.83 Z := Z
% 5.39/5.83 T := Z
% 5.39/5.83 end
% 5.39/5.83 substitution1:
% 5.39/5.83 X := Z
% 5.39/5.83 Y := Y
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 subsumption: (35248) {G2,W9,D2,L3,V3,M3} R(376,21) { alpha4( X, Y ), !
% 5.39/5.83 alpha3( Z, Y ), alpha4( Z, Y ) }.
% 5.39/5.83 parent0: (35628) {G1,W9,D2,L3,V3,M3} { alpha4( X, Y ), ! alpha3( Z, Y ),
% 5.39/5.83 alpha4( Z, Y ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 Y := Y
% 5.39/5.83 Z := Z
% 5.39/5.83 end
% 5.39/5.83 permutation0:
% 5.39/5.83 0 ==> 0
% 5.39/5.83 1 ==> 1
% 5.39/5.83 2 ==> 2
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 factor: (35630) {G2,W6,D2,L2,V2,M2} { alpha4( X, Y ), ! alpha3( X, Y ) }.
% 5.39/5.83 parent0[0, 2]: (35248) {G2,W9,D2,L3,V3,M3} R(376,21) { alpha4( X, Y ), !
% 5.39/5.83 alpha3( Z, Y ), alpha4( Z, Y ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 Y := Y
% 5.39/5.83 Z := X
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 subsumption: (35250) {G3,W6,D2,L2,V2,M2} F(35248) { alpha4( X, Y ), !
% 5.39/5.83 alpha3( X, Y ) }.
% 5.39/5.83 parent0: (35630) {G2,W6,D2,L2,V2,M2} { alpha4( X, Y ), ! alpha3( X, Y )
% 5.39/5.83 }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := X
% 5.39/5.83 Y := Y
% 5.39/5.83 end
% 5.39/5.83 permutation0:
% 5.39/5.83 0 ==> 0
% 5.39/5.83 1 ==> 1
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 resolution: (35631) {G4,W4,D3,L1,V0,M1} { alpha4( skol11, skol1( skol11 )
% 5.39/5.83 ) }.
% 5.39/5.83 parent0[1]: (35250) {G3,W6,D2,L2,V2,M2} F(35248) { alpha4( X, Y ), ! alpha3
% 5.39/5.83 ( X, Y ) }.
% 5.39/5.83 parent1[0]: (32200) {G8,W4,D3,L1,V0,M1} R(32144,112);r(48) { alpha3( skol11
% 5.39/5.83 , skol1( skol11 ) ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 X := skol11
% 5.39/5.83 Y := skol1( skol11 )
% 5.39/5.83 end
% 5.39/5.83 substitution1:
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 resolution: (35632) {G5,W0,D0,L0,V0,M0} { }.
% 5.39/5.83 parent0[0]: (32183) {G9,W4,D3,L1,V0,M1} R(32144,20044) { ! alpha4( skol11,
% 5.39/5.83 skol1( skol11 ) ) }.
% 5.39/5.83 parent1[0]: (35631) {G4,W4,D3,L1,V0,M1} { alpha4( skol11, skol1( skol11 )
% 5.39/5.83 ) }.
% 5.39/5.83 substitution0:
% 5.39/5.83 end
% 5.39/5.83 substitution1:
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 subsumption: (35254) {G10,W0,D0,L0,V0,M0} R(35250,32200);r(32183) { }.
% 5.39/5.83 parent0: (35632) {G5,W0,D0,L0,V0,M0} { }.
% 5.39/5.83 substitution0:
% 5.39/5.83 end
% 5.39/5.83 permutation0:
% 5.39/5.83 end
% 5.39/5.83
% 5.39/5.83 Proof check complete!
% 5.39/5.83
% 5.39/5.83 Memory use:
% 5.39/5.83
% 5.39/5.83 space for terms: 483136
% 5.39/5.83 space for clauses: 1411718
% 5.39/5.83
% 5.39/5.83
% 5.39/5.83 clauses generated: 180928
% 5.39/5.83 clauses kept: 35255
% 5.39/5.83 clauses selected: 1194
% 5.39/5.83 clauses deleted: 2744
% 5.39/5.83 clauses inuse deleted: 166
% 5.39/5.83
% 5.39/5.83 subsentry: 887528
% 5.39/5.83 literals s-matched: 553840
% 5.39/5.83 literals matched: 474691
% 5.39/5.83 full subsumption: 64884
% 5.39/5.83
% 5.39/5.83 checksum: 1460235094
% 5.39/5.83
% 5.39/5.83
% 5.39/5.83 Bliksem ended
%------------------------------------------------------------------------------