TSTP Solution File: SEU097+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU097+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 07:10:36 EDT 2022
% Result : Theorem 27.31s 27.69s
% Output : Refutation 27.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU097+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jun 18 23:16:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.70/1.10 *** allocated 10000 integers for termspace/termends
% 0.70/1.10 *** allocated 10000 integers for clauses
% 0.70/1.10 *** allocated 10000 integers for justifications
% 0.70/1.10 Bliksem 1.12
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Automatic Strategy Selection
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Clauses:
% 0.70/1.10
% 0.70/1.10 { ! in( X, Y ), ! in( Y, X ) }.
% 0.70/1.10 { ! ordinal( X ), ! element( Y, X ), epsilon_transitive( Y ) }.
% 0.70/1.10 { ! ordinal( X ), ! element( Y, X ), epsilon_connected( Y ) }.
% 0.70/1.10 { ! ordinal( X ), ! element( Y, X ), ordinal( Y ) }.
% 0.70/1.10 { ! empty( X ), finite( X ) }.
% 0.70/1.10 { ! empty( X ), function( X ) }.
% 0.70/1.10 { ! ordinal( X ), epsilon_transitive( X ) }.
% 0.70/1.10 { ! ordinal( X ), epsilon_connected( X ) }.
% 0.70/1.10 { ! empty( X ), relation( X ) }.
% 0.70/1.10 { ! empty( X ), ! ordinal( X ), alpha1( X ) }.
% 0.70/1.10 { ! empty( X ), ! ordinal( X ), natural( X ) }.
% 0.70/1.10 { ! alpha1( X ), epsilon_transitive( X ) }.
% 0.70/1.10 { ! alpha1( X ), epsilon_connected( X ) }.
% 0.70/1.10 { ! alpha1( X ), ordinal( X ) }.
% 0.70/1.10 { ! epsilon_transitive( X ), ! epsilon_connected( X ), ! ordinal( X ),
% 0.70/1.10 alpha1( X ) }.
% 0.70/1.10 { ! finite( X ), ! element( Y, powerset( X ) ), finite( Y ) }.
% 0.70/1.10 { ! relation( X ), ! empty( X ), ! function( X ), relation( X ) }.
% 0.70/1.10 { ! relation( X ), ! empty( X ), ! function( X ), function( X ) }.
% 0.70/1.10 { ! relation( X ), ! empty( X ), ! function( X ), one_to_one( X ) }.
% 0.70/1.10 { ! epsilon_transitive( X ), ! epsilon_connected( X ), ordinal( X ) }.
% 0.70/1.10 { ! empty( X ), epsilon_transitive( X ) }.
% 0.70/1.10 { ! empty( X ), epsilon_connected( X ) }.
% 0.70/1.10 { ! empty( X ), ordinal( X ) }.
% 0.70/1.10 { ! element( X, positive_rationals ), ! ordinal( X ), alpha2( X ) }.
% 0.70/1.10 { ! element( X, positive_rationals ), ! ordinal( X ), natural( X ) }.
% 0.70/1.10 { ! alpha2( X ), epsilon_transitive( X ) }.
% 0.70/1.10 { ! alpha2( X ), epsilon_connected( X ) }.
% 0.70/1.10 { ! alpha2( X ), ordinal( X ) }.
% 0.70/1.10 { ! epsilon_transitive( X ), ! epsilon_connected( X ), ! ordinal( X ),
% 0.70/1.10 alpha2( X ) }.
% 0.70/1.10 { set_union2( X, Y ) = set_union2( Y, X ) }.
% 0.70/1.10 { symmetric_difference( X, Y ) = symmetric_difference( Y, X ) }.
% 0.70/1.10 { symmetric_difference( X, Y ) = set_union2( set_difference( X, Y ),
% 0.70/1.10 set_difference( Y, X ) ) }.
% 0.70/1.10 { element( skol1( X ), X ) }.
% 0.70/1.10 { ! finite( X ), finite( set_difference( X, Y ) ) }.
% 0.70/1.10 { empty( empty_set ) }.
% 0.70/1.10 { relation( empty_set ) }.
% 0.70/1.10 { relation_empty_yielding( empty_set ) }.
% 0.70/1.10 { ! empty( powerset( X ) ) }.
% 0.70/1.10 { empty( empty_set ) }.
% 0.70/1.10 { relation( empty_set ) }.
% 0.70/1.10 { relation_empty_yielding( empty_set ) }.
% 0.70/1.10 { function( empty_set ) }.
% 0.70/1.10 { one_to_one( empty_set ) }.
% 0.70/1.10 { empty( empty_set ) }.
% 0.70/1.10 { epsilon_transitive( empty_set ) }.
% 0.70/1.10 { epsilon_connected( empty_set ) }.
% 0.70/1.10 { ordinal( empty_set ) }.
% 0.70/1.10 { ! relation( X ), ! relation( Y ), relation( set_union2( X, Y ) ) }.
% 0.70/1.10 { empty( X ), ! empty( set_union2( X, Y ) ) }.
% 0.70/1.10 { ! relation( X ), ! relation( Y ), relation( set_difference( X, Y ) ) }.
% 0.70/1.10 { empty( X ), ! empty( set_union2( Y, X ) ) }.
% 0.70/1.10 { empty( empty_set ) }.
% 0.70/1.10 { relation( empty_set ) }.
% 0.70/1.10 { ! empty( positive_rationals ) }.
% 0.70/1.10 { ! finite( X ), ! finite( Y ), finite( set_union2( X, Y ) ) }.
% 0.70/1.10 { set_union2( X, X ) = X }.
% 0.70/1.10 { ! finite( X ), ! finite( Y ), finite( set_union2( X, Y ) ) }.
% 0.70/1.10 { ! empty( skol2 ) }.
% 0.70/1.10 { epsilon_transitive( skol2 ) }.
% 0.70/1.10 { epsilon_connected( skol2 ) }.
% 0.70/1.10 { ordinal( skol2 ) }.
% 0.70/1.10 { natural( skol2 ) }.
% 0.70/1.10 { ! empty( skol3 ) }.
% 0.70/1.10 { finite( skol3 ) }.
% 0.70/1.10 { relation( skol4 ) }.
% 0.70/1.10 { function( skol4 ) }.
% 0.70/1.10 { function_yielding( skol4 ) }.
% 0.70/1.10 { relation( skol5 ) }.
% 0.70/1.10 { function( skol5 ) }.
% 0.70/1.10 { epsilon_transitive( skol6 ) }.
% 0.70/1.10 { epsilon_connected( skol6 ) }.
% 0.70/1.10 { ordinal( skol6 ) }.
% 0.70/1.10 { epsilon_transitive( skol7 ) }.
% 0.70/1.10 { epsilon_connected( skol7 ) }.
% 0.70/1.10 { ordinal( skol7 ) }.
% 0.70/1.10 { being_limit_ordinal( skol7 ) }.
% 0.70/1.10 { empty( skol8 ) }.
% 0.70/1.10 { relation( skol8 ) }.
% 0.70/1.10 { empty( X ), ! empty( skol9( Y ) ) }.
% 0.70/1.10 { empty( X ), element( skol9( X ), powerset( X ) ) }.
% 0.70/1.10 { empty( skol10 ) }.
% 0.70/1.10 { element( skol11, positive_rationals ) }.
% 0.70/1.10 { ! empty( skol11 ) }.
% 0.70/1.10 { epsilon_transitive( skol11 ) }.
% 0.70/1.10 { epsilon_connected( skol11 ) }.
% 0.70/1.10 { ordinal( skol11 ) }.
% 0.70/1.10 { empty( skol12( Y ) ) }.
% 0.70/1.10 { relation( skol12( Y ) ) }.
% 0.70/1.10 { function( skol12( Y ) ) }.
% 0.70/1.10 { one_to_one( skol12( Y ) ) }.
% 0.70/1.10 { epsilon_transitive( skol12( Y ) ) }.
% 0.70/1.10 { epsilon_connected( skol12( Y ) ) }.
% 0.70/1.10 { ordinal( skol12( Y ) ) }.
% 0.70/1.10 { natural( skol12( Y ) ) }.
% 0.70/1.10 { finite( skol12( Y ) ) }.
% 0.70/1.10 { element( skol12( X ), powerset( X ) ) }.
% 0.70/1.10 { relation( skol13 ) }.
% 0.70/1.10 { empty( skol13 ) }.
% 0.70/1.10 { function( skol13 ) }.
% 0.70/1.10 { relation( skol14 ) }.
% 2.16/2.55 { function( skol14 ) }.
% 2.16/2.55 { one_to_one( skol14 ) }.
% 2.16/2.55 { empty( skol14 ) }.
% 2.16/2.55 { epsilon_transitive( skol14 ) }.
% 2.16/2.55 { epsilon_connected( skol14 ) }.
% 2.16/2.55 { ordinal( skol14 ) }.
% 2.16/2.55 { relation( skol15 ) }.
% 2.16/2.55 { function( skol15 ) }.
% 2.16/2.55 { transfinite_sequence( skol15 ) }.
% 2.16/2.55 { ordinal_yielding( skol15 ) }.
% 2.16/2.55 { ! empty( skol16 ) }.
% 2.16/2.55 { relation( skol16 ) }.
% 2.16/2.55 { empty( skol17( Y ) ) }.
% 2.16/2.55 { element( skol17( X ), powerset( X ) ) }.
% 2.16/2.55 { ! empty( skol18 ) }.
% 2.16/2.55 { element( skol19, positive_rationals ) }.
% 2.16/2.55 { empty( skol19 ) }.
% 2.16/2.55 { epsilon_transitive( skol19 ) }.
% 2.16/2.55 { epsilon_connected( skol19 ) }.
% 2.16/2.55 { ordinal( skol19 ) }.
% 2.16/2.55 { natural( skol19 ) }.
% 2.16/2.55 { empty( X ), ! empty( skol20( Y ) ) }.
% 2.16/2.55 { empty( X ), finite( skol20( Y ) ) }.
% 2.16/2.55 { empty( X ), element( skol20( X ), powerset( X ) ) }.
% 2.16/2.55 { relation( skol21 ) }.
% 2.16/2.55 { function( skol21 ) }.
% 2.16/2.55 { one_to_one( skol21 ) }.
% 2.16/2.55 { ! empty( skol22 ) }.
% 2.16/2.55 { epsilon_transitive( skol22 ) }.
% 2.16/2.55 { epsilon_connected( skol22 ) }.
% 2.16/2.55 { ordinal( skol22 ) }.
% 2.16/2.55 { relation( skol23 ) }.
% 2.16/2.55 { relation_empty_yielding( skol23 ) }.
% 2.16/2.55 { relation( skol24 ) }.
% 2.16/2.55 { relation_empty_yielding( skol24 ) }.
% 2.16/2.55 { function( skol24 ) }.
% 2.16/2.55 { relation( skol25 ) }.
% 2.16/2.55 { function( skol25 ) }.
% 2.16/2.55 { transfinite_sequence( skol25 ) }.
% 2.16/2.55 { relation( skol26 ) }.
% 2.16/2.55 { relation_non_empty( skol26 ) }.
% 2.16/2.55 { function( skol26 ) }.
% 2.16/2.55 { subset( X, X ) }.
% 2.16/2.55 { ! finite( X ), finite( set_difference( X, Y ) ) }.
% 2.16/2.55 { set_union2( X, empty_set ) = X }.
% 2.16/2.55 { ! in( X, Y ), element( X, Y ) }.
% 2.16/2.55 { finite( skol27 ) }.
% 2.16/2.55 { finite( skol28 ) }.
% 2.16/2.55 { ! finite( symmetric_difference( skol27, skol28 ) ) }.
% 2.16/2.55 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 2.16/2.55 { set_difference( X, empty_set ) = X }.
% 2.16/2.55 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 2.16/2.55 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 2.16/2.55 { set_difference( empty_set, X ) = empty_set }.
% 2.16/2.55 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 2.16/2.55 { symmetric_difference( X, empty_set ) = X }.
% 2.16/2.55 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 2.16/2.55 { ! empty( X ), X = empty_set }.
% 2.16/2.55 { ! in( X, Y ), ! empty( Y ) }.
% 2.16/2.55 { ! empty( X ), X = Y, ! empty( Y ) }.
% 2.16/2.55
% 2.16/2.55 percentage equality = 0.045662, percentage horn = 0.973333
% 2.16/2.55 This is a problem with some equality
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 Options Used:
% 2.16/2.55
% 2.16/2.55 useres = 1
% 2.16/2.55 useparamod = 1
% 2.16/2.55 useeqrefl = 1
% 2.16/2.55 useeqfact = 1
% 2.16/2.55 usefactor = 1
% 2.16/2.55 usesimpsplitting = 0
% 2.16/2.55 usesimpdemod = 5
% 2.16/2.55 usesimpres = 3
% 2.16/2.55
% 2.16/2.55 resimpinuse = 1000
% 2.16/2.55 resimpclauses = 20000
% 2.16/2.55 substype = eqrewr
% 2.16/2.55 backwardsubs = 1
% 2.16/2.55 selectoldest = 5
% 2.16/2.55
% 2.16/2.55 litorderings [0] = split
% 2.16/2.55 litorderings [1] = extend the termordering, first sorting on arguments
% 2.16/2.55
% 2.16/2.55 termordering = kbo
% 2.16/2.55
% 2.16/2.55 litapriori = 0
% 2.16/2.55 termapriori = 1
% 2.16/2.55 litaposteriori = 0
% 2.16/2.55 termaposteriori = 0
% 2.16/2.55 demodaposteriori = 0
% 2.16/2.55 ordereqreflfact = 0
% 2.16/2.55
% 2.16/2.55 litselect = negord
% 2.16/2.55
% 2.16/2.55 maxweight = 15
% 2.16/2.55 maxdepth = 30000
% 2.16/2.55 maxlength = 115
% 2.16/2.55 maxnrvars = 195
% 2.16/2.55 excuselevel = 1
% 2.16/2.55 increasemaxweight = 1
% 2.16/2.55
% 2.16/2.55 maxselected = 10000000
% 2.16/2.55 maxnrclauses = 10000000
% 2.16/2.55
% 2.16/2.55 showgenerated = 0
% 2.16/2.55 showkept = 0
% 2.16/2.55 showselected = 0
% 2.16/2.55 showdeleted = 0
% 2.16/2.55 showresimp = 1
% 2.16/2.55 showstatus = 2000
% 2.16/2.55
% 2.16/2.55 prologoutput = 0
% 2.16/2.55 nrgoals = 5000000
% 2.16/2.55 totalproof = 1
% 2.16/2.55
% 2.16/2.55 Symbols occurring in the translation:
% 2.16/2.55
% 2.16/2.55 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.16/2.55 . [1, 2] (w:1, o:62, a:1, s:1, b:0),
% 2.16/2.55 ! [4, 1] (w:0, o:34, a:1, s:1, b:0),
% 2.16/2.55 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.16/2.55 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.16/2.55 in [37, 2] (w:1, o:86, a:1, s:1, b:0),
% 2.16/2.55 ordinal [38, 1] (w:1, o:40, a:1, s:1, b:0),
% 2.16/2.55 element [39, 2] (w:1, o:87, a:1, s:1, b:0),
% 2.16/2.55 epsilon_transitive [40, 1] (w:1, o:41, a:1, s:1, b:0),
% 2.16/2.55 epsilon_connected [41, 1] (w:1, o:42, a:1, s:1, b:0),
% 2.16/2.55 empty [42, 1] (w:1, o:43, a:1, s:1, b:0),
% 2.16/2.55 finite [43, 1] (w:1, o:44, a:1, s:1, b:0),
% 2.16/2.55 function [44, 1] (w:1, o:45, a:1, s:1, b:0),
% 2.16/2.55 relation [45, 1] (w:1, o:46, a:1, s:1, b:0),
% 2.16/2.55 natural [46, 1] (w:1, o:39, a:1, s:1, b:0),
% 2.16/2.55 powerset [47, 1] (w:1, o:49, a:1, s:1, b:0),
% 2.16/2.55 one_to_one [48, 1] (w:1, o:47, a:1, s:1, b:0),
% 2.16/2.55 positive_rationals [49, 0] (w:1, o:8, a:1, s:1, b:0),
% 2.16/2.55 set_union2 [50, 2] (w:1, o:88, a:1, s:1, b:0),
% 27.31/27.69 symmetric_difference [51, 2] (w:1, o:89, a:1, s:1, b:0),
% 27.31/27.69 set_difference [52, 2] (w:1, o:90, a:1, s:1, b:0),
% 27.31/27.69 empty_set [53, 0] (w:1, o:9, a:1, s:1, b:0),
% 27.31/27.69 relation_empty_yielding [54, 1] (w:1, o:50, a:1, s:1, b:0),
% 27.31/27.69 function_yielding [55, 1] (w:1, o:51, a:1, s:1, b:0),
% 27.31/27.69 being_limit_ordinal [56, 1] (w:1, o:54, a:1, s:1, b:0),
% 27.31/27.69 transfinite_sequence [57, 1] (w:1, o:60, a:1, s:1, b:0),
% 27.31/27.69 ordinal_yielding [58, 1] (w:1, o:48, a:1, s:1, b:0),
% 27.31/27.69 relation_non_empty [59, 1] (w:1, o:61, a:1, s:1, b:0),
% 27.31/27.69 subset [60, 2] (w:1, o:91, a:1, s:1, b:0),
% 27.31/27.69 alpha1 [62, 1] (w:1, o:52, a:1, s:1, b:1),
% 27.31/27.69 alpha2 [63, 1] (w:1, o:53, a:1, s:1, b:1),
% 27.31/27.69 skol1 [64, 1] (w:1, o:55, a:1, s:1, b:1),
% 27.31/27.69 skol2 [65, 0] (w:1, o:19, a:1, s:1, b:1),
% 27.31/27.69 skol3 [66, 0] (w:1, o:28, a:1, s:1, b:1),
% 27.31/27.69 skol4 [67, 0] (w:1, o:29, a:1, s:1, b:1),
% 27.31/27.69 skol5 [68, 0] (w:1, o:30, a:1, s:1, b:1),
% 27.31/27.69 skol6 [69, 0] (w:1, o:31, a:1, s:1, b:1),
% 27.31/27.69 skol7 [70, 0] (w:1, o:32, a:1, s:1, b:1),
% 27.31/27.69 skol8 [71, 0] (w:1, o:33, a:1, s:1, b:1),
% 27.31/27.69 skol9 [72, 1] (w:1, o:56, a:1, s:1, b:1),
% 27.31/27.69 skol10 [73, 0] (w:1, o:11, a:1, s:1, b:1),
% 27.31/27.69 skol11 [74, 0] (w:1, o:12, a:1, s:1, b:1),
% 27.31/27.69 skol12 [75, 1] (w:1, o:57, a:1, s:1, b:1),
% 27.31/27.69 skol13 [76, 0] (w:1, o:13, a:1, s:1, b:1),
% 27.31/27.69 skol14 [77, 0] (w:1, o:14, a:1, s:1, b:1),
% 27.31/27.69 skol15 [78, 0] (w:1, o:15, a:1, s:1, b:1),
% 27.31/27.69 skol16 [79, 0] (w:1, o:16, a:1, s:1, b:1),
% 27.31/27.69 skol17 [80, 1] (w:1, o:58, a:1, s:1, b:1),
% 27.31/27.69 skol18 [81, 0] (w:1, o:17, a:1, s:1, b:1),
% 27.31/27.69 skol19 [82, 0] (w:1, o:18, a:1, s:1, b:1),
% 27.31/27.69 skol20 [83, 1] (w:1, o:59, a:1, s:1, b:1),
% 27.31/27.69 skol21 [84, 0] (w:1, o:20, a:1, s:1, b:1),
% 27.31/27.69 skol22 [85, 0] (w:1, o:21, a:1, s:1, b:1),
% 27.31/27.69 skol23 [86, 0] (w:1, o:22, a:1, s:1, b:1),
% 27.31/27.69 skol24 [87, 0] (w:1, o:23, a:1, s:1, b:1),
% 27.31/27.69 skol25 [88, 0] (w:1, o:24, a:1, s:1, b:1),
% 27.31/27.69 skol26 [89, 0] (w:1, o:25, a:1, s:1, b:1),
% 27.31/27.69 skol27 [90, 0] (w:1, o:26, a:1, s:1, b:1),
% 27.31/27.69 skol28 [91, 0] (w:1, o:27, a:1, s:1, b:1).
% 27.31/27.69
% 27.31/27.69
% 27.31/27.69 Starting Search:
% 27.31/27.69
% 27.31/27.69 *** allocated 15000 integers for clauses
% 27.31/27.69 *** allocated 22500 integers for clauses
% 27.31/27.69 *** allocated 33750 integers for clauses
% 27.31/27.69 *** allocated 50625 integers for clauses
% 27.31/27.69 *** allocated 75937 integers for clauses
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 *** allocated 15000 integers for termspace/termends
% 27.31/27.69 *** allocated 113905 integers for clauses
% 27.31/27.69 *** allocated 22500 integers for termspace/termends
% 27.31/27.69
% 27.31/27.69 Intermediate Status:
% 27.31/27.69 Generated: 6535
% 27.31/27.69 Kept: 2000
% 27.31/27.69 Inuse: 521
% 27.31/27.69 Deleted: 152
% 27.31/27.69 Deletedinuse: 100
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 *** allocated 170857 integers for clauses
% 27.31/27.69 *** allocated 33750 integers for termspace/termends
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 *** allocated 50625 integers for termspace/termends
% 27.31/27.69 *** allocated 256285 integers for clauses
% 27.31/27.69
% 27.31/27.69 Intermediate Status:
% 27.31/27.69 Generated: 11525
% 27.31/27.69 Kept: 4004
% 27.31/27.69 Inuse: 708
% 27.31/27.69 Deleted: 182
% 27.31/27.69 Deletedinuse: 100
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 *** allocated 75937 integers for termspace/termends
% 27.31/27.69 *** allocated 384427 integers for clauses
% 27.31/27.69
% 27.31/27.69 Intermediate Status:
% 27.31/27.69 Generated: 14607
% 27.31/27.69 Kept: 6019
% 27.31/27.69 Inuse: 765
% 27.31/27.69 Deleted: 184
% 27.31/27.69 Deletedinuse: 100
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 *** allocated 113905 integers for termspace/termends
% 27.31/27.69 *** allocated 576640 integers for clauses
% 27.31/27.69
% 27.31/27.69 Intermediate Status:
% 27.31/27.69 Generated: 20832
% 27.31/27.69 Kept: 8517
% 27.31/27.69 Inuse: 866
% 27.31/27.69 Deleted: 185
% 27.31/27.69 Deletedinuse: 100
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 *** allocated 170857 integers for termspace/termends
% 27.31/27.69
% 27.31/27.69 Intermediate Status:
% 27.31/27.69 Generated: 24346
% 27.31/27.69 Kept: 10788
% 27.31/27.69 Inuse: 881
% 27.31/27.69 Deleted: 186
% 27.31/27.69 Deletedinuse: 101
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 *** allocated 864960 integers for clauses
% 27.31/27.69
% 27.31/27.69 Intermediate Status:
% 27.31/27.69 Generated: 27669
% 27.31/27.69 Kept: 12849
% 27.31/27.69 Inuse: 912
% 27.31/27.69 Deleted: 190
% 27.31/27.69 Deletedinuse: 101
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69
% 27.31/27.69 Intermediate Status:
% 27.31/27.69 Generated: 30339
% 27.31/27.69 Kept: 14879
% 27.31/27.69 Inuse: 931
% 27.31/27.69 Deleted: 190
% 27.31/27.69 Deletedinuse: 101
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 *** allocated 256285 integers for termspace/termends
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69
% 27.31/27.69 Intermediate Status:
% 27.31/27.69 Generated: 32938
% 27.31/27.69 Kept: 16891
% 27.31/27.69 Inuse: 958
% 27.31/27.69 Deleted: 197
% 27.31/27.69 Deletedinuse: 101
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 *** allocated 1297440 integers for clauses
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69
% 27.31/27.69 Intermediate Status:
% 27.31/27.69 Generated: 35524
% 27.31/27.69 Kept: 18892
% 27.31/27.69 Inuse: 982
% 27.31/27.69 Deleted: 202
% 27.31/27.69 Deletedinuse: 101
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 Resimplifying clauses:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69
% 27.31/27.69 Intermediate Status:
% 27.31/27.69 Generated: 38296
% 27.31/27.69 Kept: 20967
% 27.31/27.69 Inuse: 998
% 27.31/27.69 Deleted: 398
% 27.31/27.69 Deletedinuse: 101
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69
% 27.31/27.69 Intermediate Status:
% 27.31/27.69 Generated: 40942
% 27.31/27.69 Kept: 23049
% 27.31/27.69 Inuse: 1013
% 27.31/27.69 Deleted: 398
% 27.31/27.69 Deletedinuse: 101
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 *** allocated 384427 integers for termspace/termends
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69
% 27.31/27.69 Intermediate Status:
% 27.31/27.69 Generated: 43572
% 27.31/27.69 Kept: 25126
% 27.31/27.69 Inuse: 1027
% 27.31/27.69 Deleted: 398
% 27.31/27.69 Deletedinuse: 101
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 *** allocated 1946160 integers for clauses
% 27.31/27.69
% 27.31/27.69 Intermediate Status:
% 27.31/27.69 Generated: 46177
% 27.31/27.69 Kept: 27192
% 27.31/27.69 Inuse: 1040
% 27.31/27.69 Deleted: 398
% 27.31/27.69 Deletedinuse: 101
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69
% 27.31/27.69 Intermediate Status:
% 27.31/27.69 Generated: 49368
% 27.31/27.69 Kept: 29240
% 27.31/27.69 Inuse: 1055
% 27.31/27.69 Deleted: 398
% 27.31/27.69 Deletedinuse: 101
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69
% 27.31/27.69 Intermediate Status:
% 27.31/27.69 Generated: 52986
% 27.31/27.69 Kept: 31316
% 27.31/27.69 Inuse: 1071
% 27.31/27.69 Deleted: 398
% 27.31/27.69 Deletedinuse: 101
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69
% 27.31/27.69 Intermediate Status:
% 27.31/27.69 Generated: 56666
% 27.31/27.69 Kept: 33356
% 27.31/27.69 Inuse: 1086
% 27.31/27.69 Deleted: 398
% 27.31/27.69 Deletedinuse: 101
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69
% 27.31/27.69 Intermediate Status:
% 27.31/27.69 Generated: 60217
% 27.31/27.69 Kept: 35559
% 27.31/27.69 Inuse: 1097
% 27.31/27.69 Deleted: 398
% 27.31/27.69 Deletedinuse: 101
% 27.31/27.69
% 27.31/27.69 *** allocated 576640 integers for termspace/termends
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69
% 27.31/27.69 Intermediate Status:
% 27.31/27.69 Generated: 63482
% 27.31/27.69 Kept: 37851
% 27.31/27.69 Inuse: 1102
% 27.31/27.69 Deleted: 398
% 27.31/27.69 Deletedinuse: 101
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 *** allocated 2919240 integers for clauses
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69
% 27.31/27.69 Intermediate Status:
% 27.31/27.69 Generated: 66811
% 27.31/27.69 Kept: 40186
% 27.31/27.69 Inuse: 1107
% 27.31/27.69 Deleted: 398
% 27.31/27.69 Deletedinuse: 101
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 Resimplifying clauses:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69
% 27.31/27.69 Intermediate Status:
% 27.31/27.69 Generated: 70101
% 27.31/27.69 Kept: 42304
% 27.31/27.69 Inuse: 1140
% 27.31/27.69 Deleted: 418
% 27.31/27.69 Deletedinuse: 101
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69
% 27.31/27.69 Intermediate Status:
% 27.31/27.69 Generated: 73450
% 27.31/27.69 Kept: 44761
% 27.31/27.69 Inuse: 1159
% 27.31/27.69 Deleted: 419
% 27.31/27.69 Deletedinuse: 102
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69
% 27.31/27.69 Intermediate Status:
% 27.31/27.69 Generated: 76354
% 27.31/27.69 Kept: 46763
% 27.31/27.69 Inuse: 1181
% 27.31/27.69 Deleted: 419
% 27.31/27.69 Deletedinuse: 102
% 27.31/27.69
% 27.31/27.69 Resimplifying inuse:
% 27.31/27.69 Done
% 27.31/27.69
% 27.31/27.69
% 27.31/27.69 Bliksems!, er is een bewijs:
% 27.31/27.69 % SZS status Theorem
% 27.31/27.69 % SZS output start Refutation
% 27.31/27.69
% 27.31/27.69 (28) {G0,W7,D3,L1,V2,M1} I { symmetric_difference( X, Y ) =
% 27.31/27.69 symmetric_difference( Y, X ) }.
% 27.31/27.69 (29) {G0,W11,D4,L1,V2,M1} I { set_union2( set_difference( X, Y ),
% 27.31/27.69 set_difference( Y, X ) ) ==> symmetric_difference( X, Y ) }.
% 27.31/27.69 (31) {G0,W6,D3,L2,V2,M2} I { ! finite( X ), finite( set_difference( X, Y )
% 27.31/27.69 ) }.
% 27.31/27.69 (46) {G0,W8,D3,L3,V2,M3} I { ! finite( X ), ! finite( Y ), finite(
% 27.31/27.69 set_union2( X, Y ) ) }.
% 27.31/27.69 (136) {G0,W2,D2,L1,V0,M1} I { finite( skol27 ) }.
% 27.31/27.69 (137) {G0,W2,D2,L1,V0,M1} I { finite( skol28 ) }.
% 27.31/27.69 (138) {G0,W4,D3,L1,V0,M1} I { ! finite( symmetric_difference( skol27,
% 27.31/27.69 skol28 ) ) }.
% 27.31/27.69 (318) {G1,W4,D3,L1,V1,M1} R(31,136) { finite( set_difference( skol27, X ) )
% 27.31/27.69 }.
% 27.31/27.69 (319) {G1,W4,D3,L1,V1,M1} R(31,137) { finite( set_difference( skol28, X ) )
% 27.31/27.69 }.
% 27.31/27.69 (513) {G1,W12,D3,L3,V2,M3} P(29,46) { ! finite( set_difference( X, Y ) ), !
% 27.31/27.69 finite( set_difference( Y, X ) ), finite( symmetric_difference( X, Y ) )
% 27.31/27.69 }.
% 27.31/27.69 (705) {G1,W4,D3,L1,V0,M1} P(28,138) { ! finite( symmetric_difference(
% 27.31/27.69 skol28, skol27 ) ) }.
% 27.31/27.69 (47956) {G2,W4,D3,L1,V0,M1} R(513,705);r(319) { ! finite( set_difference(
% 27.31/27.69 skol27, skol28 ) ) }.
% 27.31/27.69 (47967) {G3,W0,D0,L0,V0,M0} S(47956);r(318) { }.
% 27.31/27.69
% 27.31/27.69
% 27.31/27.69 % SZS output end Refutation
% 27.31/27.69 found a proof!
% 27.31/27.69
% 27.31/27.69
% 27.31/27.69 Unprocessed initial clauses:
% 27.31/27.69
% 27.31/27.69 (47969) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 27.31/27.69 (47970) {G0,W7,D2,L3,V2,M3} { ! ordinal( X ), ! element( Y, X ),
% 27.31/27.69 epsilon_transitive( Y ) }.
% 27.31/27.69 (47971) {G0,W7,D2,L3,V2,M3} { ! ordinal( X ), ! element( Y, X ),
% 27.31/27.69 epsilon_connected( Y ) }.
% 27.31/27.69 (47972) {G0,W7,D2,L3,V2,M3} { ! ordinal( X ), ! element( Y, X ), ordinal(
% 27.31/27.69 Y ) }.
% 27.31/27.69 (47973) {G0,W4,D2,L2,V1,M2} { ! empty( X ), finite( X ) }.
% 27.31/27.69 (47974) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 27.31/27.69 (47975) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_transitive( X ) }.
% 27.31/27.69 (47976) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_connected( X ) }.
% 27.31/27.69 (47977) {G0,W4,D2,L2,V1,M2} { ! empty( X ), relation( X ) }.
% 27.31/27.69 (47978) {G0,W6,D2,L3,V1,M3} { ! empty( X ), ! ordinal( X ), alpha1( X )
% 27.31/27.69 }.
% 27.31/27.69 (47979) {G0,W6,D2,L3,V1,M3} { ! empty( X ), ! ordinal( X ), natural( X )
% 27.31/27.69 }.
% 27.31/27.69 (47980) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), epsilon_transitive( X ) }.
% 27.31/27.69 (47981) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), epsilon_connected( X ) }.
% 27.31/27.69 (47982) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), ordinal( X ) }.
% 27.31/27.69 (47983) {G0,W8,D2,L4,V1,M4} { ! epsilon_transitive( X ), !
% 27.31/27.69 epsilon_connected( X ), ! ordinal( X ), alpha1( X ) }.
% 27.31/27.69 (47984) {G0,W8,D3,L3,V2,M3} { ! finite( X ), ! element( Y, powerset( X ) )
% 27.31/27.69 , finite( Y ) }.
% 27.31/27.69 (47985) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 27.31/27.69 ), relation( X ) }.
% 27.31/27.69 (47986) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 27.31/27.69 ), function( X ) }.
% 27.31/27.69 (47987) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 27.31/27.69 ), one_to_one( X ) }.
% 27.31/27.69 (47988) {G0,W6,D2,L3,V1,M3} { ! epsilon_transitive( X ), !
% 27.31/27.69 epsilon_connected( X ), ordinal( X ) }.
% 27.31/27.69 (47989) {G0,W4,D2,L2,V1,M2} { ! empty( X ), epsilon_transitive( X ) }.
% 27.31/27.69 (47990) {G0,W4,D2,L2,V1,M2} { ! empty( X ), epsilon_connected( X ) }.
% 27.31/27.69 (47991) {G0,W4,D2,L2,V1,M2} { ! empty( X ), ordinal( X ) }.
% 27.31/27.69 (47992) {G0,W7,D2,L3,V1,M3} { ! element( X, positive_rationals ), !
% 27.31/27.69 ordinal( X ), alpha2( X ) }.
% 27.31/27.69 (47993) {G0,W7,D2,L3,V1,M3} { ! element( X, positive_rationals ), !
% 27.31/27.69 ordinal( X ), natural( X ) }.
% 27.31/27.69 (47994) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), epsilon_transitive( X ) }.
% 27.31/27.69 (47995) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), epsilon_connected( X ) }.
% 27.31/27.69 (47996) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), ordinal( X ) }.
% 27.31/27.69 (47997) {G0,W8,D2,L4,V1,M4} { ! epsilon_transitive( X ), !
% 27.31/27.69 epsilon_connected( X ), ! ordinal( X ), alpha2( X ) }.
% 27.31/27.69 (47998) {G0,W7,D3,L1,V2,M1} { set_union2( X, Y ) = set_union2( Y, X ) }.
% 27.31/27.69 (47999) {G0,W7,D3,L1,V2,M1} { symmetric_difference( X, Y ) =
% 27.31/27.69 symmetric_difference( Y, X ) }.
% 27.31/27.69 (48000) {G0,W11,D4,L1,V2,M1} { symmetric_difference( X, Y ) = set_union2(
% 27.31/27.69 set_difference( X, Y ), set_difference( Y, X ) ) }.
% 27.31/27.69 (48001) {G0,W4,D3,L1,V1,M1} { element( skol1( X ), X ) }.
% 27.31/27.69 (48002) {G0,W6,D3,L2,V2,M2} { ! finite( X ), finite( set_difference( X, Y
% 27.31/27.69 ) ) }.
% 27.31/27.69 (48003) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 27.31/27.69 (48004) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 27.31/27.69 (48005) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 27.31/27.69 (48006) {G0,W3,D3,L1,V1,M1} { ! empty( powerset( X ) ) }.
% 27.31/27.69 (48007) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 27.31/27.69 (48008) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 27.31/27.69 (48009) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 27.31/27.69 (48010) {G0,W2,D2,L1,V0,M1} { function( empty_set ) }.
% 27.31/27.69 (48011) {G0,W2,D2,L1,V0,M1} { one_to_one( empty_set ) }.
% 27.31/27.69 (48012) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 27.31/27.69 (48013) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( empty_set ) }.
% 27.31/27.69 (48014) {G0,W2,D2,L1,V0,M1} { epsilon_connected( empty_set ) }.
% 27.31/27.69 (48015) {G0,W2,D2,L1,V0,M1} { ordinal( empty_set ) }.
% 27.31/27.69 (48016) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! relation( Y ), relation(
% 27.31/27.69 set_union2( X, Y ) ) }.
% 27.31/27.69 (48017) {G0,W6,D3,L2,V2,M2} { empty( X ), ! empty( set_union2( X, Y ) )
% 27.31/27.69 }.
% 27.31/27.69 (48018) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! relation( Y ), relation(
% 27.31/27.69 set_difference( X, Y ) ) }.
% 27.31/27.69 (48019) {G0,W6,D3,L2,V2,M2} { empty( X ), ! empty( set_union2( Y, X ) )
% 27.31/27.69 }.
% 27.31/27.69 (48020) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 27.31/27.69 (48021) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 27.31/27.69 (48022) {G0,W2,D2,L1,V0,M1} { ! empty( positive_rationals ) }.
% 27.31/27.69 (48023) {G0,W8,D3,L3,V2,M3} { ! finite( X ), ! finite( Y ), finite(
% 27.31/27.69 set_union2( X, Y ) ) }.
% 27.31/27.69 (48024) {G0,W5,D3,L1,V1,M1} { set_union2( X, X ) = X }.
% 27.31/27.69 (48025) {G0,W8,D3,L3,V2,M3} { ! finite( X ), ! finite( Y ), finite(
% 27.31/27.69 set_union2( X, Y ) ) }.
% 27.31/27.69 (48026) {G0,W2,D2,L1,V0,M1} { ! empty( skol2 ) }.
% 27.31/27.69 (48027) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol2 ) }.
% 27.31/27.69 (48028) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol2 ) }.
% 27.31/27.69 (48029) {G0,W2,D2,L1,V0,M1} { ordinal( skol2 ) }.
% 27.31/27.69 (48030) {G0,W2,D2,L1,V0,M1} { natural( skol2 ) }.
% 27.31/27.69 (48031) {G0,W2,D2,L1,V0,M1} { ! empty( skol3 ) }.
% 27.31/27.69 (48032) {G0,W2,D2,L1,V0,M1} { finite( skol3 ) }.
% 27.31/27.69 (48033) {G0,W2,D2,L1,V0,M1} { relation( skol4 ) }.
% 27.31/27.69 (48034) {G0,W2,D2,L1,V0,M1} { function( skol4 ) }.
% 27.31/27.69 (48035) {G0,W2,D2,L1,V0,M1} { function_yielding( skol4 ) }.
% 27.31/27.69 (48036) {G0,W2,D2,L1,V0,M1} { relation( skol5 ) }.
% 27.31/27.69 (48037) {G0,W2,D2,L1,V0,M1} { function( skol5 ) }.
% 27.31/27.69 (48038) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol6 ) }.
% 27.31/27.69 (48039) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol6 ) }.
% 27.31/27.69 (48040) {G0,W2,D2,L1,V0,M1} { ordinal( skol6 ) }.
% 27.31/27.69 (48041) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol7 ) }.
% 27.31/27.69 (48042) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol7 ) }.
% 27.31/27.69 (48043) {G0,W2,D2,L1,V0,M1} { ordinal( skol7 ) }.
% 27.31/27.69 (48044) {G0,W2,D2,L1,V0,M1} { being_limit_ordinal( skol7 ) }.
% 27.31/27.69 (48045) {G0,W2,D2,L1,V0,M1} { empty( skol8 ) }.
% 27.31/27.69 (48046) {G0,W2,D2,L1,V0,M1} { relation( skol8 ) }.
% 27.31/27.69 (48047) {G0,W5,D3,L2,V2,M2} { empty( X ), ! empty( skol9( Y ) ) }.
% 27.31/27.69 (48048) {G0,W7,D3,L2,V1,M2} { empty( X ), element( skol9( X ), powerset( X
% 27.31/27.69 ) ) }.
% 27.31/27.69 (48049) {G0,W2,D2,L1,V0,M1} { empty( skol10 ) }.
% 27.31/27.69 (48050) {G0,W3,D2,L1,V0,M1} { element( skol11, positive_rationals ) }.
% 27.31/27.69 (48051) {G0,W2,D2,L1,V0,M1} { ! empty( skol11 ) }.
% 27.31/27.69 (48052) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol11 ) }.
% 27.31/27.69 (48053) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol11 ) }.
% 27.31/27.69 (48054) {G0,W2,D2,L1,V0,M1} { ordinal( skol11 ) }.
% 27.31/27.69 (48055) {G0,W3,D3,L1,V1,M1} { empty( skol12( Y ) ) }.
% 27.31/27.69 (48056) {G0,W3,D3,L1,V1,M1} { relation( skol12( Y ) ) }.
% 27.31/27.69 (48057) {G0,W3,D3,L1,V1,M1} { function( skol12( Y ) ) }.
% 27.31/27.69 (48058) {G0,W3,D3,L1,V1,M1} { one_to_one( skol12( Y ) ) }.
% 27.31/27.69 (48059) {G0,W3,D3,L1,V1,M1} { epsilon_transitive( skol12( Y ) ) }.
% 27.31/27.69 (48060) {G0,W3,D3,L1,V1,M1} { epsilon_connected( skol12( Y ) ) }.
% 27.31/27.69 (48061) {G0,W3,D3,L1,V1,M1} { ordinal( skol12( Y ) ) }.
% 27.31/27.69 (48062) {G0,W3,D3,L1,V1,M1} { natural( skol12( Y ) ) }.
% 27.31/27.69 (48063) {G0,W3,D3,L1,V1,M1} { finite( skol12( Y ) ) }.
% 27.31/27.69 (48064) {G0,W5,D3,L1,V1,M1} { element( skol12( X ), powerset( X ) ) }.
% 27.31/27.69 (48065) {G0,W2,D2,L1,V0,M1} { relation( skol13 ) }.
% 27.31/27.69 (48066) {G0,W2,D2,L1,V0,M1} { empty( skol13 ) }.
% 27.31/27.69 (48067) {G0,W2,D2,L1,V0,M1} { function( skol13 ) }.
% 27.31/27.69 (48068) {G0,W2,D2,L1,V0,M1} { relation( skol14 ) }.
% 27.31/27.69 (48069) {G0,W2,D2,L1,V0,M1} { function( skol14 ) }.
% 27.31/27.69 (48070) {G0,W2,D2,L1,V0,M1} { one_to_one( skol14 ) }.
% 27.31/27.69 (48071) {G0,W2,D2,L1,V0,M1} { empty( skol14 ) }.
% 27.31/27.69 (48072) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol14 ) }.
% 27.31/27.69 (48073) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol14 ) }.
% 27.31/27.69 (48074) {G0,W2,D2,L1,V0,M1} { ordinal( skol14 ) }.
% 27.31/27.69 (48075) {G0,W2,D2,L1,V0,M1} { relation( skol15 ) }.
% 27.31/27.69 (48076) {G0,W2,D2,L1,V0,M1} { function( skol15 ) }.
% 27.31/27.69 (48077) {G0,W2,D2,L1,V0,M1} { transfinite_sequence( skol15 ) }.
% 27.31/27.69 (48078) {G0,W2,D2,L1,V0,M1} { ordinal_yielding( skol15 ) }.
% 27.31/27.69 (48079) {G0,W2,D2,L1,V0,M1} { ! empty( skol16 ) }.
% 27.31/27.69 (48080) {G0,W2,D2,L1,V0,M1} { relation( skol16 ) }.
% 27.31/27.69 (48081) {G0,W3,D3,L1,V1,M1} { empty( skol17( Y ) ) }.
% 27.31/27.69 (48082) {G0,W5,D3,L1,V1,M1} { element( skol17( X ), powerset( X ) ) }.
% 27.31/27.69 (48083) {G0,W2,D2,L1,V0,M1} { ! empty( skol18 ) }.
% 27.31/27.69 (48084) {G0,W3,D2,L1,V0,M1} { element( skol19, positive_rationals ) }.
% 27.31/27.69 (48085) {G0,W2,D2,L1,V0,M1} { empty( skol19 ) }.
% 27.31/27.69 (48086) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol19 ) }.
% 27.31/27.69 (48087) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol19 ) }.
% 27.31/27.69 (48088) {G0,W2,D2,L1,V0,M1} { ordinal( skol19 ) }.
% 27.31/27.69 (48089) {G0,W2,D2,L1,V0,M1} { natural( skol19 ) }.
% 27.31/27.69 (48090) {G0,W5,D3,L2,V2,M2} { empty( X ), ! empty( skol20( Y ) ) }.
% 27.31/27.69 (48091) {G0,W5,D3,L2,V2,M2} { empty( X ), finite( skol20( Y ) ) }.
% 27.31/27.69 (48092) {G0,W7,D3,L2,V1,M2} { empty( X ), element( skol20( X ), powerset(
% 27.31/27.69 X ) ) }.
% 27.31/27.69 (48093) {G0,W2,D2,L1,V0,M1} { relation( skol21 ) }.
% 27.31/27.69 (48094) {G0,W2,D2,L1,V0,M1} { function( skol21 ) }.
% 27.31/27.69 (48095) {G0,W2,D2,L1,V0,M1} { one_to_one( skol21 ) }.
% 27.31/27.69 (48096) {G0,W2,D2,L1,V0,M1} { ! empty( skol22 ) }.
% 27.31/27.69 (48097) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol22 ) }.
% 27.31/27.69 (48098) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol22 ) }.
% 27.31/27.69 (48099) {G0,W2,D2,L1,V0,M1} { ordinal( skol22 ) }.
% 27.31/27.69 (48100) {G0,W2,D2,L1,V0,M1} { relation( skol23 ) }.
% 27.31/27.69 (48101) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol23 ) }.
% 27.31/27.69 (48102) {G0,W2,D2,L1,V0,M1} { relation( skol24 ) }.
% 27.31/27.69 (48103) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol24 ) }.
% 27.31/27.69 (48104) {G0,W2,D2,L1,V0,M1} { function( skol24 ) }.
% 27.31/27.69 (48105) {G0,W2,D2,L1,V0,M1} { relation( skol25 ) }.
% 27.31/27.69 (48106) {G0,W2,D2,L1,V0,M1} { function( skol25 ) }.
% 27.31/27.69 (48107) {G0,W2,D2,L1,V0,M1} { transfinite_sequence( skol25 ) }.
% 27.31/27.69 (48108) {G0,W2,D2,L1,V0,M1} { relation( skol26 ) }.
% 27.31/27.69 (48109) {G0,W2,D2,L1,V0,M1} { relation_non_empty( skol26 ) }.
% 27.31/27.69 (48110) {G0,W2,D2,L1,V0,M1} { function( skol26 ) }.
% 27.31/27.69 (48111) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 27.31/27.69 (48112) {G0,W6,D3,L2,V2,M2} { ! finite( X ), finite( set_difference( X, Y
% 27.31/27.69 ) ) }.
% 27.31/27.69 (48113) {G0,W5,D3,L1,V1,M1} { set_union2( X, empty_set ) = X }.
% 27.31/27.69 (48114) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 27.31/27.69 (48115) {G0,W2,D2,L1,V0,M1} { finite( skol27 ) }.
% 27.31/27.69 (48116) {G0,W2,D2,L1,V0,M1} { finite( skol28 ) }.
% 27.31/27.69 (48117) {G0,W4,D3,L1,V0,M1} { ! finite( symmetric_difference( skol27,
% 27.31/27.69 skol28 ) ) }.
% 27.31/27.69 (48118) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 27.31/27.69 }.
% 27.31/27.69 (48119) {G0,W5,D3,L1,V1,M1} { set_difference( X, empty_set ) = X }.
% 27.31/27.69 (48120) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y
% 27.31/27.69 ) }.
% 27.31/27.69 (48121) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y )
% 27.31/27.69 ) }.
% 27.31/27.69 (48122) {G0,W5,D3,L1,V1,M1} { set_difference( empty_set, X ) = empty_set
% 27.31/27.69 }.
% 27.31/27.69 (48123) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y ) )
% 27.31/27.69 , element( X, Y ) }.
% 27.31/27.69 (48124) {G0,W5,D3,L1,V1,M1} { symmetric_difference( X, empty_set ) = X }.
% 27.31/27.69 (48125) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) )
% 27.31/27.69 , ! empty( Z ) }.
% 27.31/27.69 (48126) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 27.31/27.69 (48127) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 27.31/27.69 (48128) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 27.31/27.69
% 27.31/27.69
% 27.31/27.69 Total Proof:
% 27.31/27.69
% 27.31/27.69 subsumption: (28) {G0,W7,D3,L1,V2,M1} I { symmetric_difference( X, Y ) =
% 27.31/27.69 symmetric_difference( Y, X ) }.
% 27.31/27.69 parent0: (47999) {G0,W7,D3,L1,V2,M1} { symmetric_difference( X, Y ) =
% 27.31/27.69 symmetric_difference( Y, X ) }.
% 27.31/27.69 substitution0:
% 27.31/27.69 X := X
% 27.31/27.69 Y := Y
% 27.31/27.69 end
% 27.31/27.69 permutation0:
% 27.31/27.69 0 ==> 0
% 27.31/27.69 end
% 27.31/27.69
% 27.31/27.69 eqswap: (48131) {G0,W11,D4,L1,V2,M1} { set_union2( set_difference( X, Y )
% 27.31/27.69 , set_difference( Y, X ) ) = symmetric_difference( X, Y ) }.
% 27.31/27.69 parent0[0]: (48000) {G0,W11,D4,L1,V2,M1} { symmetric_difference( X, Y ) =
% 27.31/27.69 set_union2( set_difference( X, Y ), set_difference( Y, X ) ) }.
% 27.31/27.69 substitution0:
% 27.31/27.69 X := X
% 27.31/27.69 Y := Y
% 27.31/27.69 end
% 27.31/27.69
% 27.31/27.69 subsumption: (29) {G0,W11,D4,L1,V2,M1} I { set_union2( set_difference( X, Y
% 27.31/27.69 ), set_difference( Y, X ) ) ==> symmetric_difference( X, Y ) }.
% 27.31/27.69 parent0: (48131) {G0,W11,D4,L1,V2,M1} { set_union2( set_difference( X, Y )
% 27.31/27.69 , set_difference( Y, X ) ) = symmetric_difference( X, Y ) }.
% 27.31/27.69 substitution0:
% 27.31/27.69 X := X
% 27.31/27.69 Y := Y
% 27.31/27.69 end
% 27.31/27.69 permutation0:
% 27.31/27.69 0 ==> 0
% 27.31/27.69 end
% 27.31/27.69
% 27.31/27.69 subsumption: (31) {G0,W6,D3,L2,V2,M2} I { ! finite( X ), finite(
% 27.31/27.69 set_difference( X, Y ) ) }.
% 27.31/27.69 parent0: (48002) {G0,W6,D3,L2,V2,M2} { ! finite( X ), finite(
% 27.31/27.69 set_difference( X, Y ) ) }.
% 27.31/27.69 substitution0:
% 27.31/27.69 X := X
% 27.31/27.69 Y := Y
% 27.31/27.69 end
% 27.31/27.69 permutation0:
% 27.31/27.69 0 ==> 0
% 27.31/27.69 1 ==> 1
% 27.31/27.69 end
% 27.31/27.69
% 27.31/27.69 subsumption: (46) {G0,W8,D3,L3,V2,M3} I { ! finite( X ), ! finite( Y ),
% 27.31/27.69 finite( set_union2( X, Y ) ) }.
% 27.31/27.69 parent0: (48023) {G0,W8,D3,L3,V2,M3} { ! finite( X ), ! finite( Y ),
% 27.31/27.69 finite( set_union2( X, Y ) ) }.
% 27.31/27.69 substitution0:
% 27.31/27.69 X := X
% 27.31/27.69 Y := Y
% 27.31/27.69 end
% 27.31/27.69 permutation0:
% 27.31/27.69 0 ==> 0
% 27.31/27.69 1 ==> 1
% 27.31/27.69 2 ==> 2
% 27.31/27.69 end
% 27.31/27.69
% 27.31/27.69 subsumption: (136) {G0,W2,D2,L1,V0,M1} I { finite( skol27 ) }.
% 27.31/27.69 parent0: (48115) {G0,W2,D2,L1,V0,M1} { finite( skol27 ) }.
% 27.31/27.69 substitution0:
% 27.31/27.69 end
% 27.31/27.69 permutation0:
% 27.31/27.69 0 ==> 0
% 27.31/27.69 end
% 27.31/27.69
% 27.31/27.69 subsumption: (137) {G0,W2,D2,L1,V0,M1} I { finite( skol28 ) }.
% 27.31/27.69 parent0: (48116) {G0,W2,D2,L1,V0,M1} { finite( skol28 ) }.
% 27.31/27.69 substitution0:
% 27.31/27.69 end
% 27.31/27.69 permutation0:
% 27.31/27.69 0 ==> 0
% 27.31/27.69 end
% 27.31/27.69
% 27.31/27.69 subsumption: (138) {G0,W4,D3,L1,V0,M1} I { ! finite( symmetric_difference(
% 27.31/27.69 skol27, skol28 ) ) }.
% 27.31/27.69 parent0: (48117) {G0,W4,D3,L1,V0,M1} { ! finite( symmetric_difference(
% 27.31/27.69 skol27, skol28 ) ) }.
% 27.31/27.69 substitution0:
% 27.31/27.69 end
% 27.31/27.69 permutation0:
% 27.31/27.69 0 ==> 0
% 27.31/27.69 end
% 27.31/27.69
% 27.31/27.69 resolution: (48163) {G1,W4,D3,L1,V1,M1} { finite( set_difference( skol27,
% 27.31/27.69 X ) ) }.
% 27.31/27.69 parent0[0]: (31) {G0,W6,D3,L2,V2,M2} I { ! finite( X ), finite(
% 27.31/27.69 set_difference( X, Y ) ) }.
% 27.31/27.69 parent1[0]: (136) {G0,W2,D2,L1,V0,M1} I { finite( skol27 ) }.
% 27.31/27.69 substitution0:
% 27.31/27.69 X := skol27
% 27.31/27.69 Y := X
% 27.31/27.69 end
% 27.31/27.69 substitution1:
% 27.31/27.69 end
% 27.31/27.69
% 27.31/27.69 subsumption: (318) {G1,W4,D3,L1,V1,M1} R(31,136) { finite( set_difference(
% 27.31/27.69 skol27, X ) ) }.
% 27.31/27.69 parent0: (48163) {G1,W4,D3,L1,V1,M1} { finite( set_difference( skol27, X )
% 27.31/27.69 ) }.
% 27.31/27.69 substitution0:
% 27.31/27.69 X := X
% 27.31/27.69 end
% 27.31/27.69 permutation0:
% 27.31/27.69 0 ==> 0
% 27.31/27.69 end
% 27.31/27.69
% 27.31/27.69 resolution: (48164) {G1,W4,D3,L1,V1,M1} { finite( set_difference( skol28,
% 27.31/27.69 X ) ) }.
% 27.31/27.69 parent0[0]: (31) {G0,W6,D3,L2,V2,M2} I { ! finite( X ), finite(
% 27.31/27.69 set_difference( X, Y ) ) }.
% 27.31/27.69 parent1[0]: (137) {G0,W2,D2,L1,V0,M1} I { finite( skol28 ) }.
% 27.31/27.69 substitution0:
% 27.31/27.69 X := skol28
% 27.31/27.69 Y := X
% 27.31/27.69 end
% 27.31/27.69 substitution1:
% 27.31/27.69 end
% 27.31/27.69
% 27.31/27.69 subsumption: (319) {G1,W4,D3,L1,V1,M1} R(31,137) { finite( set_difference(
% 27.31/27.69 skol28, X ) ) }.
% 27.31/27.69 parent0: (48164) {G1,W4,D3,L1,V1,M1} { finite( set_difference( skol28, X )
% 27.31/27.69 ) }.
% 27.31/27.69 substitution0:
% 27.31/27.69 X := X
% 27.31/27.69 end
% 27.31/27.69 permutation0:
% 27.31/27.69 0 ==> 0
% 27.31/27.69 end
% 27.31/27.69
% 27.31/27.69 paramod: (48166) {G1,W12,D3,L3,V2,M3} { finite( symmetric_difference( X, Y
% 27.31/27.69 ) ), ! finite( set_difference( X, Y ) ), ! finite( set_difference( Y, X
% 27.31/27.69 ) ) }.
% 27.31/27.69 parent0[0]: (29) {G0,W11,D4,L1,V2,M1} I { set_union2( set_difference( X, Y
% 27.31/27.69 ), set_difference( Y, X ) ) ==> symmetric_difference( X, Y ) }.
% 27.31/27.69 parent1[2; 1]: (46) {G0,W8,D3,L3,V2,M3} I { ! finite( X ), ! finite( Y ),
% 27.31/27.69 finite( set_union2( X, Y ) ) }.
% 27.31/27.69 substitution0:
% 27.31/27.69 X := X
% 27.31/27.69 Y := Y
% 27.31/27.69 end
% 27.31/27.69 substitution1:
% 27.31/27.69 X := set_difference( X, Y )
% 27.31/27.69 Y := set_difference( Y, X )
% 27.31/27.69 end
% 27.31/27.69
% 27.31/27.69 subsumption: (513) {G1,W12,D3,L3,V2,M3} P(29,46) { ! finite( set_difference
% 27.31/27.69 ( X, Y ) ), ! finite( set_difference( Y, X ) ), finite(
% 27.31/27.69 symmetric_difference( X, Y ) ) }.
% 27.31/27.69 parent0: (48166) {G1,W12,D3,L3,V2,M3} { finite( symmetric_difference( X, Y
% 27.31/27.69 ) ), ! finite( set_difference( X, Y ) ), ! finite( set_difference( Y, X
% 27.31/27.69 ) ) }.
% 27.31/27.69 substitution0:
% 27.31/27.69 X := X
% 27.31/27.69 Y := Y
% 27.31/27.69 end
% 27.31/27.69 permutation0:
% 27.31/27.69 0 ==> 2
% 27.31/27.69 1 ==> 0
% 27.31/27.69 2 ==> 1
% 27.31/27.69 end
% 27.31/27.69
% 27.31/27.69 paramod: (48168) {G1,W4,D3,L1,V0,M1} { ! finite( symmetric_difference(
% 27.31/27.69 skol28, skol27 ) ) }.
% 27.31/27.69 parent0[0]: (28) {G0,W7,D3,L1,V2,M1} I { symmetric_difference( X, Y ) =
% 27.31/27.69 symmetric_difference( Y, X ) }.
% 27.31/27.69 parent1[0; 2]: (138) {G0,W4,D3,L1,V0,M1} I { ! finite( symmetric_difference
% 27.31/27.69 ( skol27, skol28 ) ) }.
% 27.31/27.69 substitution0:
% 27.31/27.69 X := skol27
% 27.31/27.69 Y := skol28
% 27.31/27.69 end
% 27.31/27.69 substitution1:
% 27.31/27.69 end
% 27.31/27.69
% 27.31/27.69 subsumption: (705) {G1,W4,D3,L1,V0,M1} P(28,138) { ! finite(
% 27.31/27.69 symmetric_difference( skol28, skol27 ) ) }.
% 27.31/27.69 parent0: (48168) {G1,W4,D3,L1,V0,M1} { ! finite( symmetric_difference(
% 27.31/27.69 skol28, skol27 ) ) }.
% 27.31/27.69 substitution0:
% 27.31/27.69 end
% 27.31/27.69 permutation0:
% 27.31/27.69 0 ==> 0
% 27.31/27.69 end
% 27.31/27.69
% 27.31/27.69 resolution: (48170) {G2,W8,D3,L2,V0,M2} { ! finite( set_difference( skol28
% 27.31/27.69 , skol27 ) ), ! finite( set_difference( skol27, skol28 ) ) }.
% 27.31/27.69 parent0[0]: (705) {G1,W4,D3,L1,V0,M1} P(28,138) { ! finite(
% 27.31/27.69 symmetric_difference( skol28, skol27 ) ) }.
% 27.31/27.69 parent1[2]: (513) {G1,W12,D3,L3,V2,M3} P(29,46) { ! finite( set_difference
% 27.31/27.69 ( X, Y ) ), ! finite( set_difference( Y, X ) ), finite(
% 27.31/27.69 symmetric_difference( X, Y ) ) }.
% 27.31/27.69 substitution0:
% 27.31/27.69 end
% 27.31/27.69 substitution1:
% 27.31/27.69 X := skol28
% 27.31/27.69 Y := skol27
% 27.31/27.69 end
% 27.31/27.69
% 27.31/27.69 resolution: (48171) {G2,W4,D3,L1,V0,M1} { ! finite( set_difference( skol27
% 27.31/27.69 , skol28 ) ) }.
% 27.31/27.69 parent0[0]: (48170) {G2,W8,D3,L2,V0,M2} { ! finite( set_difference( skol28
% 27.31/27.69 , skol27 ) ), ! finite( set_difference( skol27, skol28 ) ) }.
% 27.31/27.69 parent1[0]: (319) {G1,W4,D3,L1,V1,M1} R(31,137) { finite( set_difference(
% 27.31/27.69 skol28, X ) ) }.
% 27.31/27.69 substitution0:
% 27.31/27.69 end
% 27.31/27.69 substitution1:
% 27.31/27.69 X := skol27
% 27.31/27.69 end
% 27.31/27.69
% 27.31/27.69 subsumption: (47956) {G2,W4,D3,L1,V0,M1} R(513,705);r(319) { ! finite(
% 27.31/27.69 set_difference( skol27, skol28 ) ) }.
% 27.31/27.69 parent0: (48171) {G2,W4,D3,L1,V0,M1} { ! finite( set_difference( skol27,
% 27.31/27.69 skol28 ) ) }.
% 27.31/27.69 substitution0:
% 27.31/27.69 end
% 27.31/27.69 permutation0:
% 27.31/27.69 0 ==> 0
% 27.31/27.69 end
% 27.31/27.69
% 27.31/27.69 resolution: (48172) {G2,W0,D0,L0,V0,M0} { }.
% 27.31/27.69 parent0[0]: (47956) {G2,W4,D3,L1,V0,M1} R(513,705);r(319) { ! finite(
% 27.31/27.69 set_difference( skol27, skol28 ) ) }.
% 27.31/27.69 parent1[0]: (318) {G1,W4,D3,L1,V1,M1} R(31,136) { finite( set_difference(
% 27.31/27.69 skol27, X ) ) }.
% 27.31/27.69 substitution0:
% 27.31/27.69 end
% 27.31/27.69 substitution1:
% 27.31/27.69 X := skol28
% 27.31/27.69 end
% 27.31/27.69
% 27.31/27.69 subsumption: (47967) {G3,W0,D0,L0,V0,M0} S(47956);r(318) { }.
% 27.31/27.69 parent0: (48172) {G2,W0,D0,L0,V0,M0} { }.
% 27.31/27.69 substitution0:
% 27.31/27.69 end
% 27.31/27.69 permutation0:
% 27.31/27.69 end
% 27.31/27.69
% 27.31/27.69 Proof check complete!
% 27.31/27.69
% 27.31/27.69 Memory use:
% 27.31/27.69
% 27.31/27.69 space for terms: 510597
% 27.31/27.69 space for clauses: 2394497
% 27.31/27.69
% 27.31/27.69
% 27.31/27.69 clauses generated: 78133
% 27.31/27.69 clauses kept: 47968
% 27.31/27.69 clauses selected: 1205
% 27.31/27.69 clauses deleted: 420
% 27.31/27.69 clauses inuse deleted: 102
% 27.31/27.69
% 27.31/27.69 subsentry: 551621
% 27.31/27.69 literals s-matched: 159940
% 27.31/27.69 literals matched: 156806
% 27.31/27.69 full subsumption: 83572
% 27.31/27.69
% 27.31/27.69 checksum: 746307191
% 27.31/27.69
% 27.31/27.69
% 27.31/27.69 Bliksem ended
%------------------------------------------------------------------------------