%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU101+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 07:10:37 EDT 2022
% Result : Theorem 6.52s 6.90s
% Output : Refutation 6.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU101+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Sun Jun 19 22:42:52 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.79/1.30 *** allocated 10000 integers for termspace/termends
% 0.79/1.30 *** allocated 10000 integers for clauses
% 0.79/1.30 *** allocated 10000 integers for justifications
% 0.79/1.30 Bliksem 1.12
% 0.79/1.30
% 0.79/1.30
% 0.79/1.30 Automatic Strategy Selection
% 0.79/1.30
% 0.79/1.30
% 0.79/1.30 Clauses:
% 0.79/1.30
% 0.79/1.30 { ! in( X, Y ), ! in( Y, X ) }.
% 0.79/1.30 { ! empty( X ), finite( X ) }.
% 0.79/1.30 { ! preboolean( X ), cup_closed( X ) }.
% 0.79/1.30 { ! preboolean( X ), diff_closed( X ) }.
% 0.79/1.30 { ! finite( X ), ! element( Y, powerset( X ) ), finite( Y ) }.
% 0.79/1.30 { ! cup_closed( X ), ! diff_closed( X ), preboolean( X ) }.
% 0.79/1.30 { set_union2( X, Y ) = set_union2( Y, X ) }.
% 0.79/1.30 { ! cup_closed( X ), ! alpha1( X, Y, Z ), in( set_union2( Y, Z ), X ) }.
% 0.79/1.30 { alpha1( X, skol1( X ), skol15( X ) ), cup_closed( X ) }.
% 0.79/1.30 { ! in( set_union2( skol1( X ), skol15( X ) ), X ), cup_closed( X ) }.
% 0.79/1.30 { ! alpha1( X, Y, Z ), in( Y, X ) }.
% 0.79/1.30 { ! alpha1( X, Y, Z ), in( Z, X ) }.
% 0.79/1.30 { ! in( Y, X ), ! in( Z, X ), alpha1( X, Y, Z ) }.
% 0.79/1.30 { ! diff_closed( X ), ! alpha2( X, Y, Z ), in( set_difference( Y, Z ), X )
% 0.79/1.30 }.
% 0.79/1.30 { alpha2( X, skol2( X ), skol16( X ) ), diff_closed( X ) }.
% 0.79/1.30 { ! in( set_difference( skol2( X ), skol16( X ) ), X ), diff_closed( X ) }
% 0.79/1.30 .
% 0.79/1.30 { ! alpha2( X, Y, Z ), in( Y, X ) }.
% 0.79/1.30 { ! alpha2( X, Y, Z ), in( Z, X ) }.
% 0.79/1.30 { ! in( Y, X ), ! in( Z, X ), alpha2( X, Y, Z ) }.
% 0.79/1.30 { ! preboolean( X ), cup_closed( X ) }.
% 0.79/1.30 { ! preboolean( X ), diff_closed( X ) }.
% 0.79/1.30 { ! cup_closed( X ), ! diff_closed( X ), preboolean( X ) }.
% 0.79/1.30 { element( skol3( X ), X ) }.
% 0.79/1.30 { ! finite( X ), finite( set_difference( X, Y ) ) }.
% 0.79/1.30 { ! empty( powerset( X ) ) }.
% 0.79/1.30 { empty( empty_set ) }.
% 0.79/1.30 { empty( X ), ! empty( set_union2( X, Y ) ) }.
% 0.79/1.30 { empty( X ), ! empty( set_union2( Y, X ) ) }.
% 0.79/1.30 { ! finite( X ), ! finite( Y ), finite( set_union2( X, Y ) ) }.
% 0.79/1.30 { set_union2( X, X ) = X }.
% 0.79/1.30 { ! empty( skol4 ) }.
% 0.79/1.30 { finite( skol4 ) }.
% 0.79/1.30 { ! empty( skol5 ) }.
% 0.79/1.30 { cup_closed( skol5 ) }.
% 0.79/1.30 { cap_closed( skol5 ) }.
% 0.79/1.30 { diff_closed( skol5 ) }.
% 0.79/1.30 { preboolean( skol5 ) }.
% 0.79/1.30 { empty( X ), ! empty( skol6( Y ) ) }.
% 0.79/1.30 { empty( X ), element( skol6( X ), powerset( X ) ) }.
% 0.79/1.30 { empty( skol7 ) }.
% 0.79/1.30 { empty( skol8( Y ) ) }.
% 0.79/1.30 { relation( skol8( Y ) ) }.
% 0.79/1.30 { function( skol8( Y ) ) }.
% 0.79/1.30 { one_to_one( skol8( Y ) ) }.
% 0.79/1.30 { epsilon_transitive( skol8( Y ) ) }.
% 0.79/1.30 { epsilon_connected( skol8( Y ) ) }.
% 0.79/1.30 { ordinal( skol8( Y ) ) }.
% 0.79/1.30 { natural( skol8( Y ) ) }.
% 0.79/1.30 { finite( skol8( Y ) ) }.
% 0.79/1.30 { element( skol8( X ), powerset( X ) ) }.
% 0.79/1.30 { empty( skol9( Y ) ) }.
% 0.79/1.30 { element( skol9( X ), powerset( X ) ) }.
% 0.79/1.30 { ! empty( skol10 ) }.
% 0.79/1.30 { empty( X ), ! empty( skol11( Y ) ) }.
% 0.79/1.30 { empty( X ), finite( skol11( Y ) ) }.
% 0.79/1.30 { empty( X ), element( skol11( X ), powerset( X ) ) }.
% 0.79/1.30 { empty( X ), ! empty( skol12( Y ) ) }.
% 0.79/1.30 { empty( X ), finite( skol12( Y ) ) }.
% 0.79/1.30 { empty( X ), element( skol12( X ), powerset( X ) ) }.
% 0.79/1.30 { subset( X, X ) }.
% 0.79/1.30 { alpha5( skol13 ), ! alpha3( skol13, X, Y ), alpha4( skol13, X, Y ) }.
% 0.79/1.30 { alpha5( skol13 ), ! preboolean( skol13 ) }.
% 0.79/1.30 { ! alpha5( X ), preboolean( X ) }.
% 0.79/1.30 { ! alpha5( X ), alpha3( X, skol14( X ), skol17( X ) ) }.
% 0.79/1.30 { ! alpha5( X ), ! alpha4( X, skol14( X ), skol17( X ) ) }.
% 0.79/1.30 { ! preboolean( X ), ! alpha3( X, Y, Z ), alpha4( X, Y, Z ), alpha5( X ) }
% 0.79/1.30 .
% 0.79/1.30 { ! alpha4( X, Y, Z ), in( set_union2( Y, Z ), X ) }.
% 0.79/1.30 { ! alpha4( X, Y, Z ), in( set_difference( Y, Z ), X ) }.
% 0.79/1.30 { ! in( set_union2( Y, Z ), X ), ! in( set_difference( Y, Z ), X ), alpha4
% 0.79/1.30 ( X, Y, Z ) }.
% 0.79/1.30 { ! alpha3( X, Y, Z ), in( Y, X ) }.
% 0.79/1.30 { ! alpha3( X, Y, Z ), in( Z, X ) }.
% 0.79/1.30 { ! in( Y, X ), ! in( Z, X ), alpha3( X, Y, Z ) }.
% 0.79/1.30 { set_union2( X, empty_set ) = X }.
% 0.79/1.30 { ! in( X, Y ), element( X, Y ) }.
% 0.79/1.30 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.79/1.30 { set_difference( X, empty_set ) = X }.
% 0.79/1.30 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 0.79/1.30 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 0.79/1.30 { set_difference( empty_set, X ) = empty_set }.
% 0.79/1.30 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 0.79/1.30 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 0.79/1.30 { ! empty( X ), X = empty_set }.
% 0.79/1.30 { ! in( X, Y ), ! empty( Y ) }.
% 0.79/1.30 { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.79/1.30
% 0.79/1.30 percentage equality = 0.047297, percentage horn = 0.876543
% 0.79/1.30 This is a problem with some equality
% 0.79/1.30
% 0.79/1.30
% 0.79/1.30
% 0.79/1.30 Options Used:
% 0.79/1.30
% 0.79/1.30 useres = 1
% 0.79/1.30 useparamod = 1
% 0.79/1.30 useeqrefl = 1
% 0.79/1.30 useeqfact = 1
% 0.79/1.30 usefactor = 1
% 0.79/1.30 usesimpsplitting = 0
% 0.79/1.30 usesimpdemod = 5
% 6.52/6.90 usesimpres = 3
% 6.52/6.90
% 6.52/6.90 resimpinuse = 1000
% 6.52/6.90 resimpclauses = 20000
% 6.52/6.90 substype = eqrewr
% 6.52/6.90 backwardsubs = 1
% 6.52/6.90 selectoldest = 5
% 6.52/6.90
% 6.52/6.90 litorderings [0] = split
% 6.52/6.90 litorderings [1] = extend the termordering, first sorting on arguments
% 6.52/6.90
% 6.52/6.90 termordering = kbo
% 6.52/6.90
% 6.52/6.90 litapriori = 0
% 6.52/6.90 termapriori = 1
% 6.52/6.90 litaposteriori = 0
% 6.52/6.90 termaposteriori = 0
% 6.52/6.90 demodaposteriori = 0
% 6.52/6.90 ordereqreflfact = 0
% 6.52/6.90
% 6.52/6.90 litselect = negord
% 6.52/6.90
% 6.52/6.90 maxweight = 15
% 6.52/6.90 maxdepth = 30000
% 6.52/6.90 maxlength = 115
% 6.52/6.90 maxnrvars = 195
% 6.52/6.90 excuselevel = 1
% 6.52/6.90 increasemaxweight = 1
% 6.52/6.90
% 6.52/6.90 maxselected = 10000000
% 6.52/6.90 maxnrclauses = 10000000
% 6.52/6.90
% 6.52/6.90 showgenerated = 0
% 6.52/6.90 showkept = 0
% 6.52/6.90 showselected = 0
% 6.52/6.90 showdeleted = 0
% 6.52/6.90 showresimp = 1
% 6.52/6.90 showstatus = 2000
% 6.52/6.90
% 6.52/6.90 prologoutput = 0
% 6.52/6.90 nrgoals = 5000000
% 6.52/6.90 totalproof = 1
% 6.52/6.90
% 6.52/6.90 Symbols occurring in the translation:
% 6.52/6.90
% 6.52/6.90 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.52/6.90 . [1, 2] (w:1, o:47, a:1, s:1, b:0),
% 6.52/6.90 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 6.52/6.90 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.52/6.90 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.52/6.90 in [37, 2] (w:1, o:71, a:1, s:1, b:0),
% 6.52/6.90 empty [38, 1] (w:1, o:22, a:1, s:1, b:0),
% 6.52/6.90 finite [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 6.52/6.90 preboolean [40, 1] (w:1, o:29, a:1, s:1, b:0),
% 6.52/6.90 cup_closed [41, 1] (w:1, o:30, a:1, s:1, b:0),
% 6.52/6.90 diff_closed [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 6.52/6.90 powerset [43, 1] (w:1, o:31, a:1, s:1, b:0),
% 6.52/6.90 element [44, 2] (w:1, o:72, a:1, s:1, b:0),
% 6.52/6.90 set_union2 [45, 2] (w:1, o:73, a:1, s:1, b:0),
% 6.52/6.90 set_difference [47, 2] (w:1, o:74, a:1, s:1, b:0),
% 6.52/6.90 empty_set [48, 0] (w:1, o:9, a:1, s:1, b:0),
% 6.52/6.90 cap_closed [49, 1] (w:1, o:20, a:1, s:1, b:0),
% 6.52/6.90 relation [50, 1] (w:1, o:32, a:1, s:1, b:0),
% 6.52/6.90 function [51, 1] (w:1, o:33, a:1, s:1, b:0),
% 6.52/6.90 one_to_one [52, 1] (w:1, o:27, a:1, s:1, b:0),
% 6.52/6.90 epsilon_transitive [53, 1] (w:1, o:23, a:1, s:1, b:0),
% 6.52/6.90 epsilon_connected [54, 1] (w:1, o:24, a:1, s:1, b:0),
% 6.52/6.90 ordinal [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 6.52/6.90 natural [56, 1] (w:1, o:26, a:1, s:1, b:0),
% 6.52/6.90 subset [57, 2] (w:1, o:75, a:1, s:1, b:0),
% 6.52/6.90 alpha1 [58, 3] (w:1, o:76, a:1, s:1, b:1),
% 6.52/6.90 alpha2 [59, 3] (w:1, o:77, a:1, s:1, b:1),
% 6.52/6.90 alpha3 [60, 3] (w:1, o:78, a:1, s:1, b:1),
% 6.52/6.90 alpha4 [61, 3] (w:1, o:79, a:1, s:1, b:1),
% 6.52/6.90 alpha5 [62, 1] (w:1, o:34, a:1, s:1, b:1),
% 6.52/6.90 skol1 [63, 1] (w:1, o:35, a:1, s:1, b:1),
% 6.52/6.90 skol2 [64, 1] (w:1, o:42, a:1, s:1, b:1),
% 6.52/6.90 skol3 [65, 1] (w:1, o:43, a:1, s:1, b:1),
% 6.52/6.90 skol4 [66, 0] (w:1, o:10, a:1, s:1, b:1),
% 6.52/6.90 skol5 [67, 0] (w:1, o:11, a:1, s:1, b:1),
% 6.52/6.90 skol6 [68, 1] (w:1, o:44, a:1, s:1, b:1),
% 6.52/6.90 skol7 [69, 0] (w:1, o:12, a:1, s:1, b:1),
% 6.52/6.90 skol8 [70, 1] (w:1, o:45, a:1, s:1, b:1),
% 6.52/6.90 skol9 [71, 1] (w:1, o:46, a:1, s:1, b:1),
% 6.52/6.90 skol10 [72, 0] (w:1, o:13, a:1, s:1, b:1),
% 6.52/6.90 skol11 [73, 1] (w:1, o:36, a:1, s:1, b:1),
% 6.52/6.90 skol12 [74, 1] (w:1, o:37, a:1, s:1, b:1),
% 6.52/6.90 skol13 [75, 0] (w:1, o:14, a:1, s:1, b:1),
% 6.52/6.90 skol14 [76, 1] (w:1, o:38, a:1, s:1, b:1),
% 6.52/6.90 skol15 [77, 1] (w:1, o:39, a:1, s:1, b:1),
% 6.52/6.90 skol16 [78, 1] (w:1, o:40, a:1, s:1, b:1),
% 6.52/6.90 skol17 [79, 1] (w:1, o:41, a:1, s:1, b:1).
% 6.52/6.90
% 6.52/6.90
% 6.52/6.90 Starting Search:
% 6.52/6.90
% 6.52/6.90 *** allocated 15000 integers for clauses
% 6.52/6.90 *** allocated 22500 integers for clauses
% 6.52/6.90 *** allocated 33750 integers for clauses
% 6.52/6.90 *** allocated 50625 integers for clauses
% 6.52/6.90 *** allocated 15000 integers for termspace/termends
% 6.52/6.90 *** allocated 75937 integers for clauses
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 *** allocated 22500 integers for termspace/termends
% 6.52/6.90 *** allocated 113905 integers for clauses
% 6.52/6.90
% 6.52/6.90 Intermediate Status:
% 6.52/6.90 Generated: 5804
% 6.52/6.90 Kept: 2011
% 6.52/6.90 Inuse: 391
% 6.52/6.90 Deleted: 50
% 6.52/6.90 Deletedinuse: 25
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 *** allocated 33750 integers for termspace/termends
% 6.52/6.90 *** allocated 170857 integers for clauses
% 6.52/6.90 *** allocated 50625 integers for termspace/termends
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 *** allocated 256285 integers for clauses
% 6.52/6.90
% 6.52/6.90 Intermediate Status:
% 6.52/6.90 Generated: 12439
% 6.52/6.90 Kept: 4024
% 6.52/6.90 Inuse: 635
% 6.52/6.90 Deleted: 56
% 6.52/6.90 Deletedinuse: 25
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 *** allocated 75937 integers for termspace/termends
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 *** allocated 384427 integers for clauses
% 6.52/6.90
% 6.52/6.90 Intermediate Status:
% 6.52/6.90 Generated: 17308
% 6.52/6.90 Kept: 6070
% 6.52/6.90 Inuse: 703
% 6.52/6.90 Deleted: 60
% 6.52/6.90 Deletedinuse: 25
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 *** allocated 113905 integers for termspace/termends
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 *** allocated 576640 integers for clauses
% 6.52/6.90
% 6.52/6.90 Intermediate Status:
% 6.52/6.90 Generated: 22251
% 6.52/6.90 Kept: 8088
% 6.52/6.90 Inuse: 768
% 6.52/6.90 Deleted: 63
% 6.52/6.90 Deletedinuse: 25
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 *** allocated 170857 integers for termspace/termends
% 6.52/6.90
% 6.52/6.90 Intermediate Status:
% 6.52/6.90 Generated: 28378
% 6.52/6.90 Kept: 10150
% 6.52/6.90 Inuse: 849
% 6.52/6.90 Deleted: 65
% 6.52/6.90 Deletedinuse: 25
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 *** allocated 864960 integers for clauses
% 6.52/6.90
% 6.52/6.90 Intermediate Status:
% 6.52/6.90 Generated: 34681
% 6.52/6.90 Kept: 12152
% 6.52/6.90 Inuse: 1006
% 6.52/6.90 Deleted: 75
% 6.52/6.90 Deletedinuse: 25
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 *** allocated 256285 integers for termspace/termends
% 6.52/6.90
% 6.52/6.90 Intermediate Status:
% 6.52/6.90 Generated: 40637
% 6.52/6.90 Kept: 14157
% 6.52/6.90 Inuse: 1102
% 6.52/6.90 Deleted: 75
% 6.52/6.90 Deletedinuse: 25
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90
% 6.52/6.90 Intermediate Status:
% 6.52/6.90 Generated: 47586
% 6.52/6.90 Kept: 16183
% 6.52/6.90 Inuse: 1237
% 6.52/6.90 Deleted: 77
% 6.52/6.90 Deletedinuse: 25
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 *** allocated 1297440 integers for clauses
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90
% 6.52/6.90 Intermediate Status:
% 6.52/6.90 Generated: 52250
% 6.52/6.90 Kept: 18196
% 6.52/6.90 Inuse: 1311
% 6.52/6.90 Deleted: 79
% 6.52/6.90 Deletedinuse: 25
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 Resimplifying clauses:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90
% 6.52/6.90 Intermediate Status:
% 6.52/6.90 Generated: 61480
% 6.52/6.90 Kept: 20197
% 6.52/6.90 Inuse: 1383
% 6.52/6.90 Deleted: 469
% 6.52/6.90 Deletedinuse: 25
% 6.52/6.90
% 6.52/6.90 *** allocated 384427 integers for termspace/termends
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90
% 6.52/6.90 Intermediate Status:
% 6.52/6.90 Generated: 71753
% 6.52/6.90 Kept: 22255
% 6.52/6.90 Inuse: 1483
% 6.52/6.90 Deleted: 505
% 6.52/6.90 Deletedinuse: 56
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90
% 6.52/6.90 Intermediate Status:
% 6.52/6.90 Generated: 79961
% 6.52/6.90 Kept: 24367
% 6.52/6.90 Inuse: 1624
% 6.52/6.90 Deleted: 539
% 6.52/6.90 Deletedinuse: 58
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90
% 6.52/6.90 Intermediate Status:
% 6.52/6.90 Generated: 86602
% 6.52/6.90 Kept: 26422
% 6.52/6.90 Inuse: 1724
% 6.52/6.90 Deleted: 539
% 6.52/6.90 Deletedinuse: 58
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 *** allocated 1946160 integers for clauses
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90
% 6.52/6.90 Intermediate Status:
% 6.52/6.90 Generated: 95170
% 6.52/6.90 Kept: 28551
% 6.52/6.90 Inuse: 1804
% 6.52/6.90 Deleted: 539
% 6.52/6.90 Deletedinuse: 58
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90
% 6.52/6.90 Intermediate Status:
% 6.52/6.90 Generated: 101214
% 6.52/6.90 Kept: 30591
% 6.52/6.90 Inuse: 1869
% 6.52/6.90 Deleted: 539
% 6.52/6.90 Deletedinuse: 58
% 6.52/6.90
% 6.52/6.90 *** allocated 576640 integers for termspace/termends
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90
% 6.52/6.90 Intermediate Status:
% 6.52/6.90 Generated: 112686
% 6.52/6.90 Kept: 32692
% 6.52/6.90 Inuse: 1942
% 6.52/6.90 Deleted: 539
% 6.52/6.90 Deletedinuse: 58
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90
% 6.52/6.90 Intermediate Status:
% 6.52/6.90 Generated: 125558
% 6.52/6.90 Kept: 34697
% 6.52/6.90 Inuse: 2044
% 6.52/6.90 Deleted: 539
% 6.52/6.90 Deletedinuse: 58
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90
% 6.52/6.90 Intermediate Status:
% 6.52/6.90 Generated: 132757
% 6.52/6.90 Kept: 36739
% 6.52/6.90 Inuse: 2097
% 6.52/6.90 Deleted: 539
% 6.52/6.90 Deletedinuse: 58
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90
% 6.52/6.90 Intermediate Status:
% 6.52/6.90 Generated: 138855
% 6.52/6.90 Kept: 38750
% 6.52/6.90 Inuse: 2162
% 6.52/6.90 Deleted: 539
% 6.52/6.90 Deletedinuse: 58
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90 Resimplifying clauses:
% 6.52/6.90 Done
% 6.52/6.90
% 6.52/6.90
% 6.52/6.90 Intermediate Status:
% 6.52/6.90 Generated: 145327
% 6.52/6.90 Kept: 40832
% 6.52/6.90 Inuse: 2193
% 6.52/6.90 Deleted: 4053
% 6.52/6.90 Deletedinuse: 58
% 6.52/6.90
% 6.52/6.90 Resimplifying inuse:
% 6.52/6.90
% 6.52/6.90 Bliksems!, er is een bewijs:
% 6.52/6.90 % SZS status Theorem
% 6.52/6.90 % SZS output start Refutation
% 6.52/6.90
% 6.52/6.90 (2) {G0,W4,D2,L2,V1,M2} I { ! preboolean( X ), cup_closed( X ) }.
% 6.52/6.90 (3) {G0,W4,D2,L2,V1,M2} I { ! preboolean( X ), diff_closed( X ) }.
% 6.52/6.90 (5) {G0,W6,D2,L3,V1,M3} I { ! cup_closed( X ), ! diff_closed( X ),
% 6.52/6.90 preboolean( X ) }.
% 6.52/6.90 (7) {G0,W11,D3,L3,V3,M3} I { ! cup_closed( X ), ! alpha1( X, Y, Z ), in(
% 6.52/6.90 set_union2( Y, Z ), X ) }.
% 6.52/6.90 (8) {G0,W8,D3,L2,V1,M2} I { alpha1( X, skol1( X ), skol15( X ) ),
% 6.52/6.90 cup_closed( X ) }.
% 6.52/6.90 (9) {G0,W9,D4,L2,V1,M2} I { ! in( set_union2( skol1( X ), skol15( X ) ), X
% 6.52/6.90 ), cup_closed( X ) }.
% 6.52/6.90 (10) {G0,W7,D2,L2,V3,M2} I { ! alpha1( X, Y, Z ), in( Y, X ) }.
% 6.52/6.90 (11) {G0,W7,D2,L2,V3,M2} I { ! alpha1( X, Y, Z ), in( Z, X ) }.
% 6.52/6.90 (12) {G0,W10,D2,L3,V3,M3} I { ! in( Y, X ), ! in( Z, X ), alpha1( X, Y, Z )
% 6.52/6.90 }.
% 6.52/6.90 (13) {G0,W11,D3,L3,V3,M3} I { ! diff_closed( X ), ! alpha2( X, Y, Z ), in(
% 6.52/6.90 set_difference( Y, Z ), X ) }.
% 6.52/6.90 (14) {G0,W8,D3,L2,V1,M2} I { alpha2( X, skol2( X ), skol16( X ) ),
% 6.52/6.90 diff_closed( X ) }.
% 6.52/6.90 (15) {G0,W9,D4,L2,V1,M2} I { ! in( set_difference( skol2( X ), skol16( X )
% 6.52/6.90 ), X ), diff_closed( X ) }.
% 6.52/6.90 (16) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), in( Y, X ) }.
% 6.52/6.90 (17) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), in( Z, X ) }.
% 6.52/6.90 (18) {G0,W10,D2,L3,V3,M3} I { ! in( Y, X ), ! in( Z, X ), alpha2( X, Y, Z )
% 6.52/6.90 }.
% 6.52/6.90 (57) {G0,W10,D2,L3,V2,M3} I { alpha5( skol13 ), ! alpha3( skol13, X, Y ),
% 6.52/6.90 alpha4( skol13, X, Y ) }.
% 6.52/6.90 (58) {G0,W4,D2,L2,V0,M2} I { alpha5( skol13 ), ! preboolean( skol13 ) }.
% 6.52/6.90 (59) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), preboolean( X ) }.
% 6.52/6.90 (60) {G0,W8,D3,L2,V1,M2} I { ! alpha5( X ), alpha3( X, skol14( X ), skol17
% 6.52/6.90 ( X ) ) }.
% 6.52/6.90 (61) {G0,W8,D3,L2,V1,M2} I { ! alpha5( X ), ! alpha4( X, skol14( X ),
% 6.52/6.90 skol17( X ) ) }.
% 6.52/6.90 (63) {G0,W9,D3,L2,V3,M2} I { ! alpha4( X, Y, Z ), in( set_union2( Y, Z ), X
% 6.52/6.90 ) }.
% 6.52/6.90 (64) {G0,W9,D3,L2,V3,M2} I { ! alpha4( X, Y, Z ), in( set_difference( Y, Z
% 6.52/6.90 ), X ) }.
% 6.52/6.90 (65) {G0,W14,D3,L3,V3,M3} I { ! in( set_union2( Y, Z ), X ), ! in(
% 6.52/6.90 set_difference( Y, Z ), X ), alpha4( X, Y, Z ) }.
% 6.52/6.90 (66) {G0,W7,D2,L2,V3,M2} I { ! alpha3( X, Y, Z ), in( Y, X ) }.
% 6.52/6.90 (67) {G0,W7,D2,L2,V3,M2} I { ! alpha3( X, Y, Z ), in( Z, X ) }.
% 6.52/6.90 (68) {G0,W10,D2,L3,V3,M3} I { ! in( Y, X ), ! in( Z, X ), alpha3( X, Y, Z )
% 6.52/6.90 }.
% 6.52/6.90 (95) {G1,W4,D2,L2,V1,M2} R(59,3) { ! alpha5( X ), diff_closed( X ) }.
% 6.52/6.90 (96) {G1,W4,D2,L2,V1,M2} R(59,2) { ! alpha5( X ), cup_closed( X ) }.
% 6.52/6.90 (97) {G1,W6,D2,L3,V0,M3} R(58,5) { alpha5( skol13 ), ! cup_closed( skol13 )
% 6.52/6.90 , ! diff_closed( skol13 ) }.
% 6.52/6.90 (144) {G1,W6,D3,L2,V1,M2} R(10,8) { in( skol1( X ), X ), cup_closed( X )
% 6.52/6.90 }.
% 6.52/6.90 (154) {G1,W6,D3,L2,V1,M2} R(11,8) { in( skol15( X ), X ), cup_closed( X )
% 6.52/6.90 }.
% 6.52/6.90 (163) {G1,W13,D3,L4,V3,M4} R(12,7) { ! in( X, Y ), ! in( Z, Y ), !
% 6.52/6.90 cup_closed( Y ), in( set_union2( X, Z ), Y ) }.
% 6.52/6.90 (204) {G1,W6,D3,L2,V1,M2} R(16,14) { in( skol2( X ), X ), diff_closed( X )
% 6.52/6.90 }.
% 6.52/6.90 (218) {G1,W6,D3,L2,V1,M2} R(17,14) { in( skol16( X ), X ), diff_closed( X )
% 6.52/6.90 }.
% 6.52/6.90 (231) {G1,W13,D3,L4,V3,M4} R(18,13) { ! in( X, Y ), ! in( Z, Y ), !
% 6.52/6.90 diff_closed( Y ), in( set_difference( X, Z ), Y ) }.
% 6.52/6.90 (544) {G1,W8,D3,L2,V1,M2} R(63,9) { ! alpha4( X, skol1( X ), skol15( X ) )
% 6.52/6.90 , cup_closed( X ) }.
% 6.52/6.90 (575) {G1,W8,D3,L2,V1,M2} R(64,15) { ! alpha4( X, skol2( X ), skol16( X ) )
% 6.52/6.90 , diff_closed( X ) }.
% 6.52/6.90 (589) {G1,W16,D4,L3,V1,M3} R(65,61) { ! in( set_union2( skol14( X ), skol17
% 6.52/6.90 ( X ) ), X ), ! in( set_difference( skol14( X ), skol17( X ) ), X ), !
% 6.52/6.90 alpha5( X ) }.
% 6.52/6.90 (621) {G1,W6,D3,L2,V1,M2} R(66,60) { in( skol14( X ), X ), ! alpha5( X )
% 6.52/6.90 }.
% 6.52/6.90 (642) {G1,W6,D3,L2,V1,M2} R(67,60) { in( skol17( X ), X ), ! alpha5( X )
% 6.52/6.90 }.
% 6.52/6.90 (670) {G1,W12,D2,L4,V2,M4} R(68,57) { ! in( X, skol13 ), ! in( Y, skol13 )
% 6.52/6.90 , alpha5( skol13 ), alpha4( skol13, X, Y ) }.
% 6.52/6.90 (5199) {G2,W11,D4,L3,V2,M3} R(642,163);r(96) { ! alpha5( X ), ! in( Y, X )
% 6.52/6.90 , in( set_union2( Y, skol17( X ) ), X ) }.
% 6.52/6.90 (31532) {G3,W12,D3,L4,V1,M4} R(589,231);r(5199) { ! alpha5( X ), ! in(
% 6.52/6.90 skol14( X ), X ), ! in( skol17( X ), X ), ! diff_closed( X ) }.
% 6.52/6.90 (39528) {G2,W8,D3,L3,V0,M3} R(670,575);r(204) { ! in( skol16( skol13 ),
% 6.52/6.90 skol13 ), alpha5( skol13 ), diff_closed( skol13 ) }.
% 6.52/6.90 (39537) {G2,W8,D3,L3,V0,M3} R(670,544);r(144) { ! in( skol15( skol13 ),
% 6.52/6.90 skol13 ), alpha5( skol13 ), cup_closed( skol13 ) }.
% 6.52/6.90 (40031) {G3,W2,D2,L1,V0,M1} S(39528);r(218);r(95) { diff_closed( skol13 )
% 6.52/6.90 }.
% 6.52/6.90 (40032) {G3,W2,D2,L1,V0,M1} S(39537);r(154);r(96) { cup_closed( skol13 )
% 6.52/6.90 }.
% 6.52/6.90 (40200) {G4,W2,D2,L1,V1,M1} S(31532);r(621);r(642);r(95) { ! alpha5( X )
% 6.52/6.90 }.
% 6.52/6.90 (40848) {G5,W0,D0,L0,V0,M0} S(97);r(40200);r(40032);r(40031) { }.
% 6.52/6.90
% 6.52/6.90
% 6.52/6.90 % SZS output end Refutation
% 6.52/6.90 found a proof!
% 6.52/6.90
% 6.52/6.90
% 6.52/6.90 Unprocessed initial clauses:
% 6.52/6.90
% 6.52/6.90 (40850) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 6.52/6.90 (40851) {G0,W4,D2,L2,V1,M2} { ! empty( X ), finite( X ) }.
% 6.52/6.90 (40852) {G0,W4,D2,L2,V1,M2} { ! preboolean( X ), cup_closed( X ) }.
% 6.52/6.90 (40853) {G0,W4,D2,L2,V1,M2} { ! preboolean( X ), diff_closed( X ) }.
% 6.52/6.90 (40854) {G0,W8,D3,L3,V2,M3} { ! finite( X ), ! element( Y, powerset( X ) )
% 6.52/6.90 , finite( Y ) }.
% 6.52/6.90 (40855) {G0,W6,D2,L3,V1,M3} { ! cup_closed( X ), ! diff_closed( X ),
% 6.52/6.90 preboolean( X ) }.
% 6.52/6.90 (40856) {G0,W7,D3,L1,V2,M1} { set_union2( X, Y ) = set_union2( Y, X ) }.
% 6.52/6.90 (40857) {G0,W11,D3,L3,V3,M3} { ! cup_closed( X ), ! alpha1( X, Y, Z ), in
% 6.52/6.90 ( set_union2( Y, Z ), X ) }.
% 6.52/6.90 (40858) {G0,W8,D3,L2,V1,M2} { alpha1( X, skol1( X ), skol15( X ) ),
% 6.52/6.90 cup_closed( X ) }.
% 6.52/6.90 (40859) {G0,W9,D4,L2,V1,M2} { ! in( set_union2( skol1( X ), skol15( X ) )
% 6.52/6.90 , X ), cup_closed( X ) }.
% 6.52/6.90 (40860) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), in( Y, X ) }.
% 6.52/6.90 (40861) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), in( Z, X ) }.
% 6.52/6.90 (40862) {G0,W10,D2,L3,V3,M3} { ! in( Y, X ), ! in( Z, X ), alpha1( X, Y, Z
% 6.52/6.90 ) }.
% 6.52/6.90 (40863) {G0,W11,D3,L3,V3,M3} { ! diff_closed( X ), ! alpha2( X, Y, Z ), in
% 6.52/6.90 ( set_difference( Y, Z ), X ) }.
% 6.52/6.90 (40864) {G0,W8,D3,L2,V1,M2} { alpha2( X, skol2( X ), skol16( X ) ),
% 6.52/6.90 diff_closed( X ) }.
% 6.52/6.90 (40865) {G0,W9,D4,L2,V1,M2} { ! in( set_difference( skol2( X ), skol16( X
% 6.52/6.90 ) ), X ), diff_closed( X ) }.
% 6.52/6.90 (40866) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), in( Y, X ) }.
% 6.52/6.90 (40867) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), in( Z, X ) }.
% 6.52/6.90 (40868) {G0,W10,D2,L3,V3,M3} { ! in( Y, X ), ! in( Z, X ), alpha2( X, Y, Z
% 6.52/6.90 ) }.
% 6.52/6.90 (40869) {G0,W4,D2,L2,V1,M2} { ! preboolean( X ), cup_closed( X ) }.
% 6.52/6.90 (40870) {G0,W4,D2,L2,V1,M2} { ! preboolean( X ), diff_closed( X ) }.
% 6.52/6.90 (40871) {G0,W6,D2,L3,V1,M3} { ! cup_closed( X ), ! diff_closed( X ),
% 6.52/6.90 preboolean( X ) }.
% 6.52/6.90 (40872) {G0,W4,D3,L1,V1,M1} { element( skol3( X ), X ) }.
% 6.52/6.90 (40873) {G0,W6,D3,L2,V2,M2} { ! finite( X ), finite( set_difference( X, Y
% 6.52/6.90 ) ) }.
% 6.52/6.90 (40874) {G0,W3,D3,L1,V1,M1} { ! empty( powerset( X ) ) }.
% 6.52/6.90 (40875) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 6.52/6.90 (40876) {G0,W6,D3,L2,V2,M2} { empty( X ), ! empty( set_union2( X, Y ) )
% 6.52/6.90 }.
% 6.52/6.90 (40877) {G0,W6,D3,L2,V2,M2} { empty( X ), ! empty( set_union2( Y, X ) )
% 6.52/6.90 }.
% 6.52/6.90 (40878) {G0,W8,D3,L3,V2,M3} { ! finite( X ), ! finite( Y ), finite(
% 6.52/6.90 set_union2( X, Y ) ) }.
% 6.52/6.90 (40879) {G0,W5,D3,L1,V1,M1} { set_union2( X, X ) = X }.
% 6.52/6.90 (40880) {G0,W2,D2,L1,V0,M1} { ! empty( skol4 ) }.
% 6.52/6.90 (40881) {G0,W2,D2,L1,V0,M1} { finite( skol4 ) }.
% 6.52/6.90 (40882) {G0,W2,D2,L1,V0,M1} { ! empty( skol5 ) }.
% 6.52/6.90 (40883) {G0,W2,D2,L1,V0,M1} { cup_closed( skol5 ) }.
% 6.52/6.90 (40884) {G0,W2,D2,L1,V0,M1} { cap_closed( skol5 ) }.
% 6.52/6.90 (40885) {G0,W2,D2,L1,V0,M1} { diff_closed( skol5 ) }.
% 6.52/6.90 (40886) {G0,W2,D2,L1,V0,M1} { preboolean( skol5 ) }.
% 6.52/6.90 (40887) {G0,W5,D3,L2,V2,M2} { empty( X ), ! empty( skol6( Y ) ) }.
% 6.52/6.90 (40888) {G0,W7,D3,L2,V1,M2} { empty( X ), element( skol6( X ), powerset( X
% 6.52/6.90 ) ) }.
% 6.52/6.90 (40889) {G0,W2,D2,L1,V0,M1} { empty( skol7 ) }.
% 6.52/6.90 (40890) {G0,W3,D3,L1,V1,M1} { empty( skol8( Y ) ) }.
% 6.52/6.90 (40891) {G0,W3,D3,L1,V1,M1} { relation( skol8( Y ) ) }.
% 6.52/6.90 (40892) {G0,W3,D3,L1,V1,M1} { function( skol8( Y ) ) }.
% 6.52/6.90 (40893) {G0,W3,D3,L1,V1,M1} { one_to_one( skol8( Y ) ) }.
% 6.52/6.90 (40894) {G0,W3,D3,L1,V1,M1} { epsilon_transitive( skol8( Y ) ) }.
% 6.52/6.90 (40895) {G0,W3,D3,L1,V1,M1} { epsilon_connected( skol8( Y ) ) }.
% 6.52/6.90 (40896) {G0,W3,D3,L1,V1,M1} { ordinal( skol8( Y ) ) }.
% 6.52/6.90 (40897) {G0,W3,D3,L1,V1,M1} { natural( skol8( Y ) ) }.
% 6.52/6.90 (40898) {G0,W3,D3,L1,V1,M1} { finite( skol8( Y ) ) }.
% 6.52/6.90 (40899) {G0,W5,D3,L1,V1,M1} { element( skol8( X ), powerset( X ) ) }.
% 6.52/6.90 (40900) {G0,W3,D3,L1,V1,M1} { empty( skol9( Y ) ) }.
% 6.52/6.90 (40901) {G0,W5,D3,L1,V1,M1} { element( skol9( X ), powerset( X ) ) }.
% 6.52/6.90 (40902) {G0,W2,D2,L1,V0,M1} { ! empty( skol10 ) }.
% 6.52/6.90 (40903) {G0,W5,D3,L2,V2,M2} { empty( X ), ! empty( skol11( Y ) ) }.
% 6.52/6.90 (40904) {G0,W5,D3,L2,V2,M2} { empty( X ), finite( skol11( Y ) ) }.
% 6.52/6.90 (40905) {G0,W7,D3,L2,V1,M2} { empty( X ), element( skol11( X ), powerset(
% 6.52/6.90 X ) ) }.
% 6.52/6.90 (40906) {G0,W5,D3,L2,V2,M2} { empty( X ), ! empty( skol12( Y ) ) }.
% 6.52/6.90 (40907) {G0,W5,D3,L2,V2,M2} { empty( X ), finite( skol12( Y ) ) }.
% 6.52/6.90 (40908) {G0,W7,D3,L2,V1,M2} { empty( X ), element( skol12( X ), powerset(
% 6.52/6.90 X ) ) }.
% 6.52/6.90 (40909) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 6.52/6.90 (40910) {G0,W10,D2,L3,V2,M3} { alpha5( skol13 ), ! alpha3( skol13, X, Y )
% 6.52/6.90 , alpha4( skol13, X, Y ) }.
% 6.52/6.90 (40911) {G0,W4,D2,L2,V0,M2} { alpha5( skol13 ), ! preboolean( skol13 ) }.
% 6.52/6.90 (40912) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), preboolean( X ) }.
% 6.52/6.90 (40913) {G0,W8,D3,L2,V1,M2} { ! alpha5( X ), alpha3( X, skol14( X ),
% 6.52/6.90 skol17( X ) ) }.
% 6.52/6.90 (40914) {G0,W8,D3,L2,V1,M2} { ! alpha5( X ), ! alpha4( X, skol14( X ),
% 6.52/6.90 skol17( X ) ) }.
% 6.52/6.90 (40915) {G0,W12,D2,L4,V3,M4} { ! preboolean( X ), ! alpha3( X, Y, Z ),
% 6.52/6.90 alpha4( X, Y, Z ), alpha5( X ) }.
% 6.52/6.90 (40916) {G0,W9,D3,L2,V3,M2} { ! alpha4( X, Y, Z ), in( set_union2( Y, Z )
% 6.52/6.90 , X ) }.
% 6.52/6.90 (40917) {G0,W9,D3,L2,V3,M2} { ! alpha4( X, Y, Z ), in( set_difference( Y,
% 6.52/6.90 Z ), X ) }.
% 6.52/6.90 (40918) {G0,W14,D3,L3,V3,M3} { ! in( set_union2( Y, Z ), X ), ! in(
% 6.52/6.90 set_difference( Y, Z ), X ), alpha4( X, Y, Z ) }.
% 6.52/6.90 (40919) {G0,W7,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), in( Y, X ) }.
% 6.52/6.90 (40920) {G0,W7,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), in( Z, X ) }.
% 6.52/6.90 (40921) {G0,W10,D2,L3,V3,M3} { ! in( Y, X ), ! in( Z, X ), alpha3( X, Y, Z
% 6.52/6.90 ) }.
% 6.52/6.90 (40922) {G0,W5,D3,L1,V1,M1} { set_union2( X, empty_set ) = X }.
% 6.52/6.90 (40923) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 6.52/6.90 (40924) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 6.52/6.90 }.
% 6.52/6.90 (40925) {G0,W5,D3,L1,V1,M1} { set_difference( X, empty_set ) = X }.
% 6.52/6.90 (40926) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y
% 6.52/6.90 ) }.
% 6.52/6.90 (40927) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y )
% 6.52/6.90 ) }.
% 6.52/6.90 (40928) {G0,W5,D3,L1,V1,M1} { set_difference( empty_set, X ) = empty_set
% 6.52/6.90 }.
% 6.52/6.90 (40929) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y ) )
% 6.52/6.90 , element( X, Y ) }.
% 6.52/6.90 (40930) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) )
% 6.52/6.90 , ! empty( Z ) }.
% 6.52/6.90 (40931) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 6.52/6.90 (40932) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 6.52/6.90 (40933) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 6.52/6.90
% 6.52/6.90
% 6.52/6.90 Total Proof:
% 6.52/6.90
% 6.52/6.90 subsumption: (2) {G0,W4,D2,L2,V1,M2} I { ! preboolean( X ), cup_closed( X )
% 6.52/6.90 }.
% 6.52/6.90 parent0: (40852) {G0,W4,D2,L2,V1,M2} { ! preboolean( X ), cup_closed( X )
% 6.52/6.90 }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (3) {G0,W4,D2,L2,V1,M2} I { ! preboolean( X ), diff_closed( X
% 6.52/6.90 ) }.
% 6.52/6.90 parent0: (40853) {G0,W4,D2,L2,V1,M2} { ! preboolean( X ), diff_closed( X )
% 6.52/6.90 }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (5) {G0,W6,D2,L3,V1,M3} I { ! cup_closed( X ), ! diff_closed(
% 6.52/6.90 X ), preboolean( X ) }.
% 6.52/6.90 parent0: (40855) {G0,W6,D2,L3,V1,M3} { ! cup_closed( X ), ! diff_closed( X
% 6.52/6.90 ), preboolean( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 2 ==> 2
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (7) {G0,W11,D3,L3,V3,M3} I { ! cup_closed( X ), ! alpha1( X, Y
% 6.52/6.90 , Z ), in( set_union2( Y, Z ), X ) }.
% 6.52/6.90 parent0: (40857) {G0,W11,D3,L3,V3,M3} { ! cup_closed( X ), ! alpha1( X, Y
% 6.52/6.90 , Z ), in( set_union2( Y, Z ), X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 Z := Z
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 2 ==> 2
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (8) {G0,W8,D3,L2,V1,M2} I { alpha1( X, skol1( X ), skol15( X )
% 6.52/6.90 ), cup_closed( X ) }.
% 6.52/6.90 parent0: (40858) {G0,W8,D3,L2,V1,M2} { alpha1( X, skol1( X ), skol15( X )
% 6.52/6.90 ), cup_closed( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (9) {G0,W9,D4,L2,V1,M2} I { ! in( set_union2( skol1( X ),
% 6.52/6.90 skol15( X ) ), X ), cup_closed( X ) }.
% 6.52/6.90 parent0: (40859) {G0,W9,D4,L2,V1,M2} { ! in( set_union2( skol1( X ),
% 6.52/6.90 skol15( X ) ), X ), cup_closed( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (10) {G0,W7,D2,L2,V3,M2} I { ! alpha1( X, Y, Z ), in( Y, X )
% 6.52/6.90 }.
% 6.52/6.90 parent0: (40860) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), in( Y, X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 Z := Z
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (11) {G0,W7,D2,L2,V3,M2} I { ! alpha1( X, Y, Z ), in( Z, X )
% 6.52/6.90 }.
% 6.52/6.90 parent0: (40861) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), in( Z, X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 Z := Z
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (12) {G0,W10,D2,L3,V3,M3} I { ! in( Y, X ), ! in( Z, X ),
% 6.52/6.90 alpha1( X, Y, Z ) }.
% 6.52/6.90 parent0: (40862) {G0,W10,D2,L3,V3,M3} { ! in( Y, X ), ! in( Z, X ), alpha1
% 6.52/6.90 ( X, Y, Z ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 Z := Z
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 2 ==> 2
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (13) {G0,W11,D3,L3,V3,M3} I { ! diff_closed( X ), ! alpha2( X
% 6.52/6.90 , Y, Z ), in( set_difference( Y, Z ), X ) }.
% 6.52/6.90 parent0: (40863) {G0,W11,D3,L3,V3,M3} { ! diff_closed( X ), ! alpha2( X, Y
% 6.52/6.90 , Z ), in( set_difference( Y, Z ), X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 Z := Z
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 2 ==> 2
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (14) {G0,W8,D3,L2,V1,M2} I { alpha2( X, skol2( X ), skol16( X
% 6.52/6.90 ) ), diff_closed( X ) }.
% 6.52/6.90 parent0: (40864) {G0,W8,D3,L2,V1,M2} { alpha2( X, skol2( X ), skol16( X )
% 6.52/6.90 ), diff_closed( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (15) {G0,W9,D4,L2,V1,M2} I { ! in( set_difference( skol2( X )
% 6.52/6.90 , skol16( X ) ), X ), diff_closed( X ) }.
% 6.52/6.90 parent0: (40865) {G0,W9,D4,L2,V1,M2} { ! in( set_difference( skol2( X ),
% 6.52/6.90 skol16( X ) ), X ), diff_closed( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (16) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), in( Y, X )
% 6.52/6.90 }.
% 6.52/6.90 parent0: (40866) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), in( Y, X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 Z := Z
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (17) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), in( Z, X )
% 6.52/6.90 }.
% 6.52/6.90 parent0: (40867) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), in( Z, X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 Z := Z
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (18) {G0,W10,D2,L3,V3,M3} I { ! in( Y, X ), ! in( Z, X ),
% 6.52/6.90 alpha2( X, Y, Z ) }.
% 6.52/6.90 parent0: (40868) {G0,W10,D2,L3,V3,M3} { ! in( Y, X ), ! in( Z, X ), alpha2
% 6.52/6.90 ( X, Y, Z ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 Z := Z
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 2 ==> 2
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (57) {G0,W10,D2,L3,V2,M3} I { alpha5( skol13 ), ! alpha3(
% 6.52/6.90 skol13, X, Y ), alpha4( skol13, X, Y ) }.
% 6.52/6.90 parent0: (40910) {G0,W10,D2,L3,V2,M3} { alpha5( skol13 ), ! alpha3( skol13
% 6.52/6.90 , X, Y ), alpha4( skol13, X, Y ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 2 ==> 2
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (58) {G0,W4,D2,L2,V0,M2} I { alpha5( skol13 ), ! preboolean(
% 6.52/6.90 skol13 ) }.
% 6.52/6.90 parent0: (40911) {G0,W4,D2,L2,V0,M2} { alpha5( skol13 ), ! preboolean(
% 6.52/6.90 skol13 ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (59) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), preboolean( X )
% 6.52/6.90 }.
% 6.52/6.90 parent0: (40912) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), preboolean( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (60) {G0,W8,D3,L2,V1,M2} I { ! alpha5( X ), alpha3( X, skol14
% 6.52/6.90 ( X ), skol17( X ) ) }.
% 6.52/6.90 parent0: (40913) {G0,W8,D3,L2,V1,M2} { ! alpha5( X ), alpha3( X, skol14( X
% 6.52/6.90 ), skol17( X ) ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (61) {G0,W8,D3,L2,V1,M2} I { ! alpha5( X ), ! alpha4( X,
% 6.52/6.90 skol14( X ), skol17( X ) ) }.
% 6.52/6.90 parent0: (40914) {G0,W8,D3,L2,V1,M2} { ! alpha5( X ), ! alpha4( X, skol14
% 6.52/6.90 ( X ), skol17( X ) ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (63) {G0,W9,D3,L2,V3,M2} I { ! alpha4( X, Y, Z ), in(
% 6.52/6.90 set_union2( Y, Z ), X ) }.
% 6.52/6.90 parent0: (40916) {G0,W9,D3,L2,V3,M2} { ! alpha4( X, Y, Z ), in( set_union2
% 6.52/6.90 ( Y, Z ), X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 Z := Z
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (64) {G0,W9,D3,L2,V3,M2} I { ! alpha4( X, Y, Z ), in(
% 6.52/6.90 set_difference( Y, Z ), X ) }.
% 6.52/6.90 parent0: (40917) {G0,W9,D3,L2,V3,M2} { ! alpha4( X, Y, Z ), in(
% 6.52/6.90 set_difference( Y, Z ), X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 Z := Z
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (65) {G0,W14,D3,L3,V3,M3} I { ! in( set_union2( Y, Z ), X ), !
% 6.52/6.90 in( set_difference( Y, Z ), X ), alpha4( X, Y, Z ) }.
% 6.52/6.90 parent0: (40918) {G0,W14,D3,L3,V3,M3} { ! in( set_union2( Y, Z ), X ), !
% 6.52/6.90 in( set_difference( Y, Z ), X ), alpha4( X, Y, Z ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 Z := Z
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 2 ==> 2
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (66) {G0,W7,D2,L2,V3,M2} I { ! alpha3( X, Y, Z ), in( Y, X )
% 6.52/6.90 }.
% 6.52/6.90 parent0: (40919) {G0,W7,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), in( Y, X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 Z := Z
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (67) {G0,W7,D2,L2,V3,M2} I { ! alpha3( X, Y, Z ), in( Z, X )
% 6.52/6.90 }.
% 6.52/6.90 parent0: (40920) {G0,W7,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), in( Z, X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 Z := Z
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (68) {G0,W10,D2,L3,V3,M3} I { ! in( Y, X ), ! in( Z, X ),
% 6.52/6.90 alpha3( X, Y, Z ) }.
% 6.52/6.90 parent0: (40921) {G0,W10,D2,L3,V3,M3} { ! in( Y, X ), ! in( Z, X ), alpha3
% 6.52/6.90 ( X, Y, Z ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 Z := Z
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 2 ==> 2
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41013) {G1,W4,D2,L2,V1,M2} { diff_closed( X ), ! alpha5( X )
% 6.52/6.90 }.
% 6.52/6.90 parent0[0]: (3) {G0,W4,D2,L2,V1,M2} I { ! preboolean( X ), diff_closed( X )
% 6.52/6.90 }.
% 6.52/6.90 parent1[1]: (59) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), preboolean( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (95) {G1,W4,D2,L2,V1,M2} R(59,3) { ! alpha5( X ), diff_closed
% 6.52/6.90 ( X ) }.
% 6.52/6.90 parent0: (41013) {G1,W4,D2,L2,V1,M2} { diff_closed( X ), ! alpha5( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 1
% 6.52/6.90 1 ==> 0
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41014) {G1,W4,D2,L2,V1,M2} { cup_closed( X ), ! alpha5( X )
% 6.52/6.90 }.
% 6.52/6.90 parent0[0]: (2) {G0,W4,D2,L2,V1,M2} I { ! preboolean( X ), cup_closed( X )
% 6.52/6.90 }.
% 6.52/6.90 parent1[1]: (59) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), preboolean( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (96) {G1,W4,D2,L2,V1,M2} R(59,2) { ! alpha5( X ), cup_closed(
% 6.52/6.90 X ) }.
% 6.52/6.90 parent0: (41014) {G1,W4,D2,L2,V1,M2} { cup_closed( X ), ! alpha5( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 1
% 6.52/6.90 1 ==> 0
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41015) {G1,W6,D2,L3,V0,M3} { alpha5( skol13 ), ! cup_closed(
% 6.52/6.90 skol13 ), ! diff_closed( skol13 ) }.
% 6.52/6.90 parent0[1]: (58) {G0,W4,D2,L2,V0,M2} I { alpha5( skol13 ), ! preboolean(
% 6.52/6.90 skol13 ) }.
% 6.52/6.90 parent1[2]: (5) {G0,W6,D2,L3,V1,M3} I { ! cup_closed( X ), ! diff_closed( X
% 6.52/6.90 ), preboolean( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := skol13
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (97) {G1,W6,D2,L3,V0,M3} R(58,5) { alpha5( skol13 ), !
% 6.52/6.90 cup_closed( skol13 ), ! diff_closed( skol13 ) }.
% 6.52/6.90 parent0: (41015) {G1,W6,D2,L3,V0,M3} { alpha5( skol13 ), ! cup_closed(
% 6.52/6.90 skol13 ), ! diff_closed( skol13 ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 2 ==> 2
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41016) {G1,W6,D3,L2,V1,M2} { in( skol1( X ), X ), cup_closed
% 6.52/6.90 ( X ) }.
% 6.52/6.90 parent0[0]: (10) {G0,W7,D2,L2,V3,M2} I { ! alpha1( X, Y, Z ), in( Y, X )
% 6.52/6.90 }.
% 6.52/6.90 parent1[0]: (8) {G0,W8,D3,L2,V1,M2} I { alpha1( X, skol1( X ), skol15( X )
% 6.52/6.90 ), cup_closed( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := skol1( X )
% 6.52/6.90 Z := skol15( X )
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (144) {G1,W6,D3,L2,V1,M2} R(10,8) { in( skol1( X ), X ),
% 6.52/6.90 cup_closed( X ) }.
% 6.52/6.90 parent0: (41016) {G1,W6,D3,L2,V1,M2} { in( skol1( X ), X ), cup_closed( X
% 6.52/6.90 ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41017) {G1,W6,D3,L2,V1,M2} { in( skol15( X ), X ), cup_closed
% 6.52/6.90 ( X ) }.
% 6.52/6.90 parent0[0]: (11) {G0,W7,D2,L2,V3,M2} I { ! alpha1( X, Y, Z ), in( Z, X )
% 6.52/6.90 }.
% 6.52/6.90 parent1[0]: (8) {G0,W8,D3,L2,V1,M2} I { alpha1( X, skol1( X ), skol15( X )
% 6.52/6.90 ), cup_closed( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := skol1( X )
% 6.52/6.90 Z := skol15( X )
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (154) {G1,W6,D3,L2,V1,M2} R(11,8) { in( skol15( X ), X ),
% 6.52/6.90 cup_closed( X ) }.
% 6.52/6.90 parent0: (41017) {G1,W6,D3,L2,V1,M2} { in( skol15( X ), X ), cup_closed( X
% 6.52/6.90 ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41020) {G1,W13,D3,L4,V3,M4} { ! cup_closed( X ), in(
% 6.52/6.90 set_union2( Y, Z ), X ), ! in( Y, X ), ! in( Z, X ) }.
% 6.52/6.90 parent0[1]: (7) {G0,W11,D3,L3,V3,M3} I { ! cup_closed( X ), ! alpha1( X, Y
% 6.52/6.90 , Z ), in( set_union2( Y, Z ), X ) }.
% 6.52/6.90 parent1[2]: (12) {G0,W10,D2,L3,V3,M3} I { ! in( Y, X ), ! in( Z, X ),
% 6.52/6.90 alpha1( X, Y, Z ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 Z := Z
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 Z := Z
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (163) {G1,W13,D3,L4,V3,M4} R(12,7) { ! in( X, Y ), ! in( Z, Y
% 6.52/6.90 ), ! cup_closed( Y ), in( set_union2( X, Z ), Y ) }.
% 6.52/6.90 parent0: (41020) {G1,W13,D3,L4,V3,M4} { ! cup_closed( X ), in( set_union2
% 6.52/6.90 ( Y, Z ), X ), ! in( Y, X ), ! in( Z, X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := Y
% 6.52/6.90 Y := X
% 6.52/6.90 Z := Z
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 2
% 6.52/6.90 1 ==> 3
% 6.52/6.90 2 ==> 0
% 6.52/6.90 3 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41022) {G1,W6,D3,L2,V1,M2} { in( skol2( X ), X ), diff_closed
% 6.52/6.90 ( X ) }.
% 6.52/6.90 parent0[0]: (16) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), in( Y, X )
% 6.52/6.90 }.
% 6.52/6.90 parent1[0]: (14) {G0,W8,D3,L2,V1,M2} I { alpha2( X, skol2( X ), skol16( X )
% 6.52/6.90 ), diff_closed( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := skol2( X )
% 6.52/6.90 Z := skol16( X )
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (204) {G1,W6,D3,L2,V1,M2} R(16,14) { in( skol2( X ), X ),
% 6.52/6.90 diff_closed( X ) }.
% 6.52/6.90 parent0: (41022) {G1,W6,D3,L2,V1,M2} { in( skol2( X ), X ), diff_closed( X
% 6.52/6.90 ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41023) {G1,W6,D3,L2,V1,M2} { in( skol16( X ), X ),
% 6.52/6.90 diff_closed( X ) }.
% 6.52/6.90 parent0[0]: (17) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), in( Z, X )
% 6.52/6.90 }.
% 6.52/6.90 parent1[0]: (14) {G0,W8,D3,L2,V1,M2} I { alpha2( X, skol2( X ), skol16( X )
% 6.52/6.90 ), diff_closed( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := skol2( X )
% 6.52/6.90 Z := skol16( X )
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (218) {G1,W6,D3,L2,V1,M2} R(17,14) { in( skol16( X ), X ),
% 6.52/6.90 diff_closed( X ) }.
% 6.52/6.90 parent0: (41023) {G1,W6,D3,L2,V1,M2} { in( skol16( X ), X ), diff_closed(
% 6.52/6.90 X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41026) {G1,W13,D3,L4,V3,M4} { ! diff_closed( X ), in(
% 6.52/6.90 set_difference( Y, Z ), X ), ! in( Y, X ), ! in( Z, X ) }.
% 6.52/6.90 parent0[1]: (13) {G0,W11,D3,L3,V3,M3} I { ! diff_closed( X ), ! alpha2( X,
% 6.52/6.90 Y, Z ), in( set_difference( Y, Z ), X ) }.
% 6.52/6.90 parent1[2]: (18) {G0,W10,D2,L3,V3,M3} I { ! in( Y, X ), ! in( Z, X ),
% 6.52/6.90 alpha2( X, Y, Z ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 Z := Z
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 Z := Z
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (231) {G1,W13,D3,L4,V3,M4} R(18,13) { ! in( X, Y ), ! in( Z, Y
% 6.52/6.90 ), ! diff_closed( Y ), in( set_difference( X, Z ), Y ) }.
% 6.52/6.90 parent0: (41026) {G1,W13,D3,L4,V3,M4} { ! diff_closed( X ), in(
% 6.52/6.90 set_difference( Y, Z ), X ), ! in( Y, X ), ! in( Z, X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := Y
% 6.52/6.90 Y := X
% 6.52/6.90 Z := Z
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 2
% 6.52/6.90 1 ==> 3
% 6.52/6.90 2 ==> 0
% 6.52/6.90 3 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41028) {G1,W8,D3,L2,V1,M2} { cup_closed( X ), ! alpha4( X,
% 6.52/6.90 skol1( X ), skol15( X ) ) }.
% 6.52/6.90 parent0[0]: (9) {G0,W9,D4,L2,V1,M2} I { ! in( set_union2( skol1( X ),
% 6.52/6.90 skol15( X ) ), X ), cup_closed( X ) }.
% 6.52/6.90 parent1[1]: (63) {G0,W9,D3,L2,V3,M2} I { ! alpha4( X, Y, Z ), in(
% 6.52/6.90 set_union2( Y, Z ), X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := X
% 6.52/6.90 Y := skol1( X )
% 6.52/6.90 Z := skol15( X )
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (544) {G1,W8,D3,L2,V1,M2} R(63,9) { ! alpha4( X, skol1( X ),
% 6.52/6.90 skol15( X ) ), cup_closed( X ) }.
% 6.52/6.90 parent0: (41028) {G1,W8,D3,L2,V1,M2} { cup_closed( X ), ! alpha4( X, skol1
% 6.52/6.90 ( X ), skol15( X ) ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 1
% 6.52/6.90 1 ==> 0
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41029) {G1,W8,D3,L2,V1,M2} { diff_closed( X ), ! alpha4( X,
% 6.52/6.90 skol2( X ), skol16( X ) ) }.
% 6.52/6.90 parent0[0]: (15) {G0,W9,D4,L2,V1,M2} I { ! in( set_difference( skol2( X ),
% 6.52/6.90 skol16( X ) ), X ), diff_closed( X ) }.
% 6.52/6.90 parent1[1]: (64) {G0,W9,D3,L2,V3,M2} I { ! alpha4( X, Y, Z ), in(
% 6.52/6.90 set_difference( Y, Z ), X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := X
% 6.52/6.90 Y := skol2( X )
% 6.52/6.90 Z := skol16( X )
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (575) {G1,W8,D3,L2,V1,M2} R(64,15) { ! alpha4( X, skol2( X ),
% 6.52/6.90 skol16( X ) ), diff_closed( X ) }.
% 6.52/6.90 parent0: (41029) {G1,W8,D3,L2,V1,M2} { diff_closed( X ), ! alpha4( X,
% 6.52/6.90 skol2( X ), skol16( X ) ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 1
% 6.52/6.90 1 ==> 0
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41030) {G1,W16,D4,L3,V1,M3} { ! alpha5( X ), ! in( set_union2
% 6.52/6.90 ( skol14( X ), skol17( X ) ), X ), ! in( set_difference( skol14( X ),
% 6.52/6.90 skol17( X ) ), X ) }.
% 6.52/6.90 parent0[1]: (61) {G0,W8,D3,L2,V1,M2} I { ! alpha5( X ), ! alpha4( X, skol14
% 6.52/6.90 ( X ), skol17( X ) ) }.
% 6.52/6.90 parent1[2]: (65) {G0,W14,D3,L3,V3,M3} I { ! in( set_union2( Y, Z ), X ), !
% 6.52/6.90 in( set_difference( Y, Z ), X ), alpha4( X, Y, Z ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := X
% 6.52/6.90 Y := skol14( X )
% 6.52/6.90 Z := skol17( X )
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (589) {G1,W16,D4,L3,V1,M3} R(65,61) { ! in( set_union2( skol14
% 6.52/6.90 ( X ), skol17( X ) ), X ), ! in( set_difference( skol14( X ), skol17( X )
% 6.52/6.90 ), X ), ! alpha5( X ) }.
% 6.52/6.90 parent0: (41030) {G1,W16,D4,L3,V1,M3} { ! alpha5( X ), ! in( set_union2(
% 6.52/6.90 skol14( X ), skol17( X ) ), X ), ! in( set_difference( skol14( X ),
% 6.52/6.90 skol17( X ) ), X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 2
% 6.52/6.90 1 ==> 0
% 6.52/6.90 2 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41031) {G1,W6,D3,L2,V1,M2} { in( skol14( X ), X ), ! alpha5(
% 6.52/6.90 X ) }.
% 6.52/6.90 parent0[0]: (66) {G0,W7,D2,L2,V3,M2} I { ! alpha3( X, Y, Z ), in( Y, X )
% 6.52/6.90 }.
% 6.52/6.90 parent1[1]: (60) {G0,W8,D3,L2,V1,M2} I { ! alpha5( X ), alpha3( X, skol14(
% 6.52/6.90 X ), skol17( X ) ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := skol14( X )
% 6.52/6.90 Z := skol17( X )
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (621) {G1,W6,D3,L2,V1,M2} R(66,60) { in( skol14( X ), X ), !
% 6.52/6.90 alpha5( X ) }.
% 6.52/6.90 parent0: (41031) {G1,W6,D3,L2,V1,M2} { in( skol14( X ), X ), ! alpha5( X )
% 6.52/6.90 }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41032) {G1,W6,D3,L2,V1,M2} { in( skol17( X ), X ), ! alpha5(
% 6.52/6.90 X ) }.
% 6.52/6.90 parent0[0]: (67) {G0,W7,D2,L2,V3,M2} I { ! alpha3( X, Y, Z ), in( Z, X )
% 6.52/6.90 }.
% 6.52/6.90 parent1[1]: (60) {G0,W8,D3,L2,V1,M2} I { ! alpha5( X ), alpha3( X, skol14(
% 6.52/6.90 X ), skol17( X ) ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := skol14( X )
% 6.52/6.90 Z := skol17( X )
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (642) {G1,W6,D3,L2,V1,M2} R(67,60) { in( skol17( X ), X ), !
% 6.52/6.90 alpha5( X ) }.
% 6.52/6.90 parent0: (41032) {G1,W6,D3,L2,V1,M2} { in( skol17( X ), X ), ! alpha5( X )
% 6.52/6.90 }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41033) {G1,W12,D2,L4,V2,M4} { alpha5( skol13 ), alpha4(
% 6.52/6.90 skol13, X, Y ), ! in( X, skol13 ), ! in( Y, skol13 ) }.
% 6.52/6.90 parent0[1]: (57) {G0,W10,D2,L3,V2,M3} I { alpha5( skol13 ), ! alpha3(
% 6.52/6.90 skol13, X, Y ), alpha4( skol13, X, Y ) }.
% 6.52/6.90 parent1[2]: (68) {G0,W10,D2,L3,V3,M3} I { ! in( Y, X ), ! in( Z, X ),
% 6.52/6.90 alpha3( X, Y, Z ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := skol13
% 6.52/6.90 Y := X
% 6.52/6.90 Z := Y
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (670) {G1,W12,D2,L4,V2,M4} R(68,57) { ! in( X, skol13 ), ! in
% 6.52/6.90 ( Y, skol13 ), alpha5( skol13 ), alpha4( skol13, X, Y ) }.
% 6.52/6.90 parent0: (41033) {G1,W12,D2,L4,V2,M4} { alpha5( skol13 ), alpha4( skol13,
% 6.52/6.90 X, Y ), ! in( X, skol13 ), ! in( Y, skol13 ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 2
% 6.52/6.90 1 ==> 3
% 6.52/6.90 2 ==> 0
% 6.52/6.90 3 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41036) {G2,W13,D4,L4,V2,M4} { ! in( X, Y ), ! cup_closed( Y )
% 6.52/6.90 , in( set_union2( X, skol17( Y ) ), Y ), ! alpha5( Y ) }.
% 6.52/6.90 parent0[1]: (163) {G1,W13,D3,L4,V3,M4} R(12,7) { ! in( X, Y ), ! in( Z, Y )
% 6.52/6.90 , ! cup_closed( Y ), in( set_union2( X, Z ), Y ) }.
% 6.52/6.90 parent1[0]: (642) {G1,W6,D3,L2,V1,M2} R(67,60) { in( skol17( X ), X ), !
% 6.52/6.90 alpha5( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 Z := skol17( Y )
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := Y
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41039) {G2,W13,D4,L4,V2,M4} { ! in( X, Y ), in( set_union2( X
% 6.52/6.90 , skol17( Y ) ), Y ), ! alpha5( Y ), ! alpha5( Y ) }.
% 6.52/6.90 parent0[1]: (41036) {G2,W13,D4,L4,V2,M4} { ! in( X, Y ), ! cup_closed( Y )
% 6.52/6.90 , in( set_union2( X, skol17( Y ) ), Y ), ! alpha5( Y ) }.
% 6.52/6.90 parent1[1]: (96) {G1,W4,D2,L2,V1,M2} R(59,2) { ! alpha5( X ), cup_closed( X
% 6.52/6.90 ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := Y
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 factor: (41040) {G2,W11,D4,L3,V2,M3} { ! in( X, Y ), in( set_union2( X,
% 6.52/6.90 skol17( Y ) ), Y ), ! alpha5( Y ) }.
% 6.52/6.90 parent0[2, 3]: (41039) {G2,W13,D4,L4,V2,M4} { ! in( X, Y ), in( set_union2
% 6.52/6.90 ( X, skol17( Y ) ), Y ), ! alpha5( Y ), ! alpha5( Y ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 Y := Y
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (5199) {G2,W11,D4,L3,V2,M3} R(642,163);r(96) { ! alpha5( X ),
% 6.52/6.90 ! in( Y, X ), in( set_union2( Y, skol17( X ) ), X ) }.
% 6.52/6.90 parent0: (41040) {G2,W11,D4,L3,V2,M3} { ! in( X, Y ), in( set_union2( X,
% 6.52/6.90 skol17( Y ) ), Y ), ! alpha5( Y ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := Y
% 6.52/6.90 Y := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 1
% 6.52/6.90 1 ==> 2
% 6.52/6.90 2 ==> 0
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41041) {G2,W19,D4,L5,V1,M5} { ! in( set_union2( skol14( X ),
% 6.52/6.90 skol17( X ) ), X ), ! alpha5( X ), ! in( skol14( X ), X ), ! in( skol17(
% 6.52/6.90 X ), X ), ! diff_closed( X ) }.
% 6.52/6.90 parent0[1]: (589) {G1,W16,D4,L3,V1,M3} R(65,61) { ! in( set_union2( skol14
% 6.52/6.90 ( X ), skol17( X ) ), X ), ! in( set_difference( skol14( X ), skol17( X )
% 6.52/6.90 ), X ), ! alpha5( X ) }.
% 6.52/6.90 parent1[3]: (231) {G1,W13,D3,L4,V3,M4} R(18,13) { ! in( X, Y ), ! in( Z, Y
% 6.52/6.90 ), ! diff_closed( Y ), in( set_difference( X, Z ), Y ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := skol14( X )
% 6.52/6.90 Y := X
% 6.52/6.90 Z := skol17( X )
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41042) {G3,W18,D3,L6,V1,M6} { ! alpha5( X ), ! in( skol14( X
% 6.52/6.90 ), X ), ! in( skol17( X ), X ), ! diff_closed( X ), ! alpha5( X ), ! in
% 6.52/6.90 ( skol14( X ), X ) }.
% 6.52/6.90 parent0[0]: (41041) {G2,W19,D4,L5,V1,M5} { ! in( set_union2( skol14( X ),
% 6.52/6.90 skol17( X ) ), X ), ! alpha5( X ), ! in( skol14( X ), X ), ! in( skol17(
% 6.52/6.90 X ), X ), ! diff_closed( X ) }.
% 6.52/6.90 parent1[2]: (5199) {G2,W11,D4,L3,V2,M3} R(642,163);r(96) { ! alpha5( X ), !
% 6.52/6.90 in( Y, X ), in( set_union2( Y, skol17( X ) ), X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := X
% 6.52/6.90 Y := skol14( X )
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 factor: (41044) {G3,W14,D3,L5,V1,M5} { ! alpha5( X ), ! in( skol14( X ), X
% 6.52/6.90 ), ! in( skol17( X ), X ), ! diff_closed( X ), ! alpha5( X ) }.
% 6.52/6.90 parent0[1, 5]: (41042) {G3,W18,D3,L6,V1,M6} { ! alpha5( X ), ! in( skol14
% 6.52/6.90 ( X ), X ), ! in( skol17( X ), X ), ! diff_closed( X ), ! alpha5( X ), !
% 6.52/6.90 in( skol14( X ), X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 factor: (41045) {G3,W12,D3,L4,V1,M4} { ! alpha5( X ), ! in( skol14( X ), X
% 6.52/6.90 ), ! in( skol17( X ), X ), ! diff_closed( X ) }.
% 6.52/6.90 parent0[0, 4]: (41044) {G3,W14,D3,L5,V1,M5} { ! alpha5( X ), ! in( skol14
% 6.52/6.90 ( X ), X ), ! in( skol17( X ), X ), ! diff_closed( X ), ! alpha5( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (31532) {G3,W12,D3,L4,V1,M4} R(589,231);r(5199) { ! alpha5( X
% 6.52/6.90 ), ! in( skol14( X ), X ), ! in( skol17( X ), X ), ! diff_closed( X )
% 6.52/6.90 }.
% 6.52/6.90 parent0: (41045) {G3,W12,D3,L4,V1,M4} { ! alpha5( X ), ! in( skol14( X ),
% 6.52/6.90 X ), ! in( skol17( X ), X ), ! diff_closed( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 1 ==> 1
% 6.52/6.90 2 ==> 2
% 6.52/6.90 3 ==> 3
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41046) {G2,W12,D3,L4,V0,M4} { diff_closed( skol13 ), ! in(
% 6.52/6.90 skol2( skol13 ), skol13 ), ! in( skol16( skol13 ), skol13 ), alpha5(
% 6.52/6.90 skol13 ) }.
% 6.52/6.90 parent0[0]: (575) {G1,W8,D3,L2,V1,M2} R(64,15) { ! alpha4( X, skol2( X ),
% 6.52/6.90 skol16( X ) ), diff_closed( X ) }.
% 6.52/6.90 parent1[3]: (670) {G1,W12,D2,L4,V2,M4} R(68,57) { ! in( X, skol13 ), ! in(
% 6.52/6.90 Y, skol13 ), alpha5( skol13 ), alpha4( skol13, X, Y ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := skol13
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := skol2( skol13 )
% 6.52/6.90 Y := skol16( skol13 )
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41047) {G2,W10,D3,L4,V0,M4} { diff_closed( skol13 ), ! in(
% 6.52/6.90 skol16( skol13 ), skol13 ), alpha5( skol13 ), diff_closed( skol13 ) }.
% 6.52/6.90 parent0[1]: (41046) {G2,W12,D3,L4,V0,M4} { diff_closed( skol13 ), ! in(
% 6.52/6.90 skol2( skol13 ), skol13 ), ! in( skol16( skol13 ), skol13 ), alpha5(
% 6.52/6.90 skol13 ) }.
% 6.52/6.90 parent1[0]: (204) {G1,W6,D3,L2,V1,M2} R(16,14) { in( skol2( X ), X ),
% 6.52/6.90 diff_closed( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := skol13
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 factor: (41048) {G2,W8,D3,L3,V0,M3} { diff_closed( skol13 ), ! in( skol16
% 6.52/6.90 ( skol13 ), skol13 ), alpha5( skol13 ) }.
% 6.52/6.90 parent0[0, 3]: (41047) {G2,W10,D3,L4,V0,M4} { diff_closed( skol13 ), ! in
% 6.52/6.90 ( skol16( skol13 ), skol13 ), alpha5( skol13 ), diff_closed( skol13 ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (39528) {G2,W8,D3,L3,V0,M3} R(670,575);r(204) { ! in( skol16(
% 6.52/6.90 skol13 ), skol13 ), alpha5( skol13 ), diff_closed( skol13 ) }.
% 6.52/6.90 parent0: (41048) {G2,W8,D3,L3,V0,M3} { diff_closed( skol13 ), ! in( skol16
% 6.52/6.90 ( skol13 ), skol13 ), alpha5( skol13 ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 2
% 6.52/6.90 1 ==> 0
% 6.52/6.90 2 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41049) {G2,W12,D3,L4,V0,M4} { cup_closed( skol13 ), ! in(
% 6.52/6.90 skol1( skol13 ), skol13 ), ! in( skol15( skol13 ), skol13 ), alpha5(
% 6.52/6.90 skol13 ) }.
% 6.52/6.90 parent0[0]: (544) {G1,W8,D3,L2,V1,M2} R(63,9) { ! alpha4( X, skol1( X ),
% 6.52/6.90 skol15( X ) ), cup_closed( X ) }.
% 6.52/6.90 parent1[3]: (670) {G1,W12,D2,L4,V2,M4} R(68,57) { ! in( X, skol13 ), ! in(
% 6.52/6.90 Y, skol13 ), alpha5( skol13 ), alpha4( skol13, X, Y ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := skol13
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := skol1( skol13 )
% 6.52/6.90 Y := skol15( skol13 )
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41050) {G2,W10,D3,L4,V0,M4} { cup_closed( skol13 ), ! in(
% 6.52/6.90 skol15( skol13 ), skol13 ), alpha5( skol13 ), cup_closed( skol13 ) }.
% 6.52/6.90 parent0[1]: (41049) {G2,W12,D3,L4,V0,M4} { cup_closed( skol13 ), ! in(
% 6.52/6.90 skol1( skol13 ), skol13 ), ! in( skol15( skol13 ), skol13 ), alpha5(
% 6.52/6.90 skol13 ) }.
% 6.52/6.90 parent1[0]: (144) {G1,W6,D3,L2,V1,M2} R(10,8) { in( skol1( X ), X ),
% 6.52/6.90 cup_closed( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := skol13
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 factor: (41051) {G2,W8,D3,L3,V0,M3} { cup_closed( skol13 ), ! in( skol15(
% 6.52/6.90 skol13 ), skol13 ), alpha5( skol13 ) }.
% 6.52/6.90 parent0[0, 3]: (41050) {G2,W10,D3,L4,V0,M4} { cup_closed( skol13 ), ! in(
% 6.52/6.90 skol15( skol13 ), skol13 ), alpha5( skol13 ), cup_closed( skol13 ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (39537) {G2,W8,D3,L3,V0,M3} R(670,544);r(144) { ! in( skol15(
% 6.52/6.90 skol13 ), skol13 ), alpha5( skol13 ), cup_closed( skol13 ) }.
% 6.52/6.90 parent0: (41051) {G2,W8,D3,L3,V0,M3} { cup_closed( skol13 ), ! in( skol15
% 6.52/6.90 ( skol13 ), skol13 ), alpha5( skol13 ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 2
% 6.52/6.90 1 ==> 0
% 6.52/6.90 2 ==> 1
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41052) {G2,W6,D2,L3,V0,M3} { alpha5( skol13 ), diff_closed(
% 6.52/6.90 skol13 ), diff_closed( skol13 ) }.
% 6.52/6.90 parent0[0]: (39528) {G2,W8,D3,L3,V0,M3} R(670,575);r(204) { ! in( skol16(
% 6.52/6.90 skol13 ), skol13 ), alpha5( skol13 ), diff_closed( skol13 ) }.
% 6.52/6.90 parent1[0]: (218) {G1,W6,D3,L2,V1,M2} R(17,14) { in( skol16( X ), X ),
% 6.52/6.90 diff_closed( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := skol13
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 factor: (41053) {G2,W4,D2,L2,V0,M2} { alpha5( skol13 ), diff_closed(
% 6.52/6.90 skol13 ) }.
% 6.52/6.90 parent0[1, 2]: (41052) {G2,W6,D2,L3,V0,M3} { alpha5( skol13 ), diff_closed
% 6.52/6.90 ( skol13 ), diff_closed( skol13 ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41054) {G2,W4,D2,L2,V0,M2} { diff_closed( skol13 ),
% 6.52/6.90 diff_closed( skol13 ) }.
% 6.52/6.90 parent0[0]: (95) {G1,W4,D2,L2,V1,M2} R(59,3) { ! alpha5( X ), diff_closed(
% 6.52/6.90 X ) }.
% 6.52/6.90 parent1[0]: (41053) {G2,W4,D2,L2,V0,M2} { alpha5( skol13 ), diff_closed(
% 6.52/6.90 skol13 ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := skol13
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 factor: (41055) {G2,W2,D2,L1,V0,M1} { diff_closed( skol13 ) }.
% 6.52/6.90 parent0[0, 1]: (41054) {G2,W4,D2,L2,V0,M2} { diff_closed( skol13 ),
% 6.52/6.90 diff_closed( skol13 ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (40031) {G3,W2,D2,L1,V0,M1} S(39528);r(218);r(95) {
% 6.52/6.90 diff_closed( skol13 ) }.
% 6.52/6.90 parent0: (41055) {G2,W2,D2,L1,V0,M1} { diff_closed( skol13 ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41056) {G2,W6,D2,L3,V0,M3} { alpha5( skol13 ), cup_closed(
% 6.52/6.90 skol13 ), cup_closed( skol13 ) }.
% 6.52/6.90 parent0[0]: (39537) {G2,W8,D3,L3,V0,M3} R(670,544);r(144) { ! in( skol15(
% 6.52/6.90 skol13 ), skol13 ), alpha5( skol13 ), cup_closed( skol13 ) }.
% 6.52/6.90 parent1[0]: (154) {G1,W6,D3,L2,V1,M2} R(11,8) { in( skol15( X ), X ),
% 6.52/6.90 cup_closed( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := skol13
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 factor: (41057) {G2,W4,D2,L2,V0,M2} { alpha5( skol13 ), cup_closed( skol13
% 6.52/6.90 ) }.
% 6.52/6.90 parent0[1, 2]: (41056) {G2,W6,D2,L3,V0,M3} { alpha5( skol13 ), cup_closed
% 6.52/6.90 ( skol13 ), cup_closed( skol13 ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41058) {G2,W4,D2,L2,V0,M2} { cup_closed( skol13 ), cup_closed
% 6.52/6.90 ( skol13 ) }.
% 6.52/6.90 parent0[0]: (96) {G1,W4,D2,L2,V1,M2} R(59,2) { ! alpha5( X ), cup_closed( X
% 6.52/6.90 ) }.
% 6.52/6.90 parent1[0]: (41057) {G2,W4,D2,L2,V0,M2} { alpha5( skol13 ), cup_closed(
% 6.52/6.90 skol13 ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := skol13
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 factor: (41059) {G2,W2,D2,L1,V0,M1} { cup_closed( skol13 ) }.
% 6.52/6.90 parent0[0, 1]: (41058) {G2,W4,D2,L2,V0,M2} { cup_closed( skol13 ),
% 6.52/6.90 cup_closed( skol13 ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (40032) {G3,W2,D2,L1,V0,M1} S(39537);r(154);r(96) { cup_closed
% 6.52/6.90 ( skol13 ) }.
% 6.52/6.90 parent0: (41059) {G2,W2,D2,L1,V0,M1} { cup_closed( skol13 ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41060) {G2,W10,D3,L4,V1,M4} { ! alpha5( X ), ! in( skol17( X
% 6.52/6.90 ), X ), ! diff_closed( X ), ! alpha5( X ) }.
% 6.52/6.90 parent0[1]: (31532) {G3,W12,D3,L4,V1,M4} R(589,231);r(5199) { ! alpha5( X )
% 6.52/6.90 , ! in( skol14( X ), X ), ! in( skol17( X ), X ), ! diff_closed( X ) }.
% 6.52/6.90 parent1[0]: (621) {G1,W6,D3,L2,V1,M2} R(66,60) { in( skol14( X ), X ), !
% 6.52/6.90 alpha5( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 factor: (41061) {G2,W8,D3,L3,V1,M3} { ! alpha5( X ), ! in( skol17( X ), X
% 6.52/6.90 ), ! diff_closed( X ) }.
% 6.52/6.90 parent0[0, 3]: (41060) {G2,W10,D3,L4,V1,M4} { ! alpha5( X ), ! in( skol17
% 6.52/6.90 ( X ), X ), ! diff_closed( X ), ! alpha5( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41062) {G2,W6,D2,L3,V1,M3} { ! alpha5( X ), ! diff_closed( X
% 6.52/6.90 ), ! alpha5( X ) }.
% 6.52/6.90 parent0[1]: (41061) {G2,W8,D3,L3,V1,M3} { ! alpha5( X ), ! in( skol17( X )
% 6.52/6.90 , X ), ! diff_closed( X ) }.
% 6.52/6.90 parent1[0]: (642) {G1,W6,D3,L2,V1,M2} R(67,60) { in( skol17( X ), X ), !
% 6.52/6.90 alpha5( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 factor: (41063) {G2,W4,D2,L2,V1,M2} { ! alpha5( X ), ! diff_closed( X )
% 6.52/6.90 }.
% 6.52/6.90 parent0[0, 2]: (41062) {G2,W6,D2,L3,V1,M3} { ! alpha5( X ), ! diff_closed
% 6.52/6.90 ( X ), ! alpha5( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41064) {G2,W4,D2,L2,V1,M2} { ! alpha5( X ), ! alpha5( X ) }.
% 6.52/6.90 parent0[1]: (41063) {G2,W4,D2,L2,V1,M2} { ! alpha5( X ), ! diff_closed( X
% 6.52/6.90 ) }.
% 6.52/6.90 parent1[1]: (95) {G1,W4,D2,L2,V1,M2} R(59,3) { ! alpha5( X ), diff_closed(
% 6.52/6.90 X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 factor: (41065) {G2,W2,D2,L1,V1,M1} { ! alpha5( X ) }.
% 6.52/6.90 parent0[0, 1]: (41064) {G2,W4,D2,L2,V1,M2} { ! alpha5( X ), ! alpha5( X )
% 6.52/6.90 }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (40200) {G4,W2,D2,L1,V1,M1} S(31532);r(621);r(642);r(95) { !
% 6.52/6.90 alpha5( X ) }.
% 6.52/6.90 parent0: (41065) {G2,W2,D2,L1,V1,M1} { ! alpha5( X ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := X
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 0 ==> 0
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41066) {G2,W4,D2,L2,V0,M2} { ! cup_closed( skol13 ), !
% 6.52/6.90 diff_closed( skol13 ) }.
% 6.52/6.90 parent0[0]: (40200) {G4,W2,D2,L1,V1,M1} S(31532);r(621);r(642);r(95) { !
% 6.52/6.90 alpha5( X ) }.
% 6.52/6.90 parent1[0]: (97) {G1,W6,D2,L3,V0,M3} R(58,5) { alpha5( skol13 ), !
% 6.52/6.90 cup_closed( skol13 ), ! diff_closed( skol13 ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 X := skol13
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41067) {G3,W2,D2,L1,V0,M1} { ! diff_closed( skol13 ) }.
% 6.52/6.90 parent0[0]: (41066) {G2,W4,D2,L2,V0,M2} { ! cup_closed( skol13 ), !
% 6.52/6.90 diff_closed( skol13 ) }.
% 6.52/6.90 parent1[0]: (40032) {G3,W2,D2,L1,V0,M1} S(39537);r(154);r(96) { cup_closed
% 6.52/6.90 ( skol13 ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 resolution: (41068) {G4,W0,D0,L0,V0,M0} { }.
% 6.52/6.90 parent0[0]: (41067) {G3,W2,D2,L1,V0,M1} { ! diff_closed( skol13 ) }.
% 6.52/6.90 parent1[0]: (40031) {G3,W2,D2,L1,V0,M1} S(39528);r(218);r(95) { diff_closed
% 6.52/6.90 ( skol13 ) }.
% 6.52/6.90 substitution0:
% 6.52/6.90 end
% 6.52/6.90 substitution1:
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 subsumption: (40848) {G5,W0,D0,L0,V0,M0} S(97);r(40200);r(40032);r(40031)
% 6.52/6.90 { }.
% 6.52/6.90 parent0: (41068) {G4,W0,D0,L0,V0,M0} { }.
% 6.52/6.90 substitution0:
% 6.52/6.90 end
% 6.52/6.90 permutation0:
% 6.52/6.90 end
% 6.52/6.90
% 6.52/6.90 Proof check complete!
% 6.52/6.90
% 6.52/6.90 Memory use:
% 6.52/6.90
% 6.52/6.90 space for terms: 517711
% 6.52/6.90 space for clauses: 1907213
% 6.52/6.90
% 6.52/6.90
% 6.52/6.90 clauses generated: 145344
% 6.52/6.90 clauses kept: 40849
% 6.52/6.90 clauses selected: 2193
% 6.52/6.90 clauses deleted: 4171
% 6.52/6.90 clauses inuse deleted: 176
% 6.52/6.90
% 6.52/6.90 subsentry: 1298844
% 6.52/6.90 literals s-matched: 810967
% 6.52/6.90 literals matched: 717423
% 6.52/6.90 full subsumption: 73508
% 6.52/6.90
% 6.52/6.90 checksum: -340028486
% 6.52/6.90
% 6.52/6.90
% 6.52/6.90 Bliksem ended
%------------------------------------------------------------------------------