TSTP Solution File: SEU424+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU424+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 07:13:22 EDT 2022
% Result : Theorem 4.51s 4.87s
% Output : Refutation 4.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU424+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n017.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 : Mon Jun 20 12:55:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.18/1.58 *** allocated 10000 integers for termspace/termends
% 1.18/1.58 *** allocated 10000 integers for clauses
% 1.18/1.58 *** allocated 10000 integers for justifications
% 1.18/1.58 Bliksem 1.12
% 1.18/1.58
% 1.18/1.58
% 1.18/1.58 Automatic Strategy Selection
% 1.18/1.58
% 1.18/1.58
% 1.18/1.58 Clauses:
% 1.18/1.58
% 1.18/1.58 { ! v1_xboole_0( skol1 ) }.
% 1.18/1.58 { m1_subset_1( skol12, k1_zfmisc_1( skol1 ) ) }.
% 1.18/1.58 { m2_relset_1( skol14, skol1, skol13 ) }.
% 1.18/1.58 { ! m1_subset_1( a_4_0_relset_2( skol1, skol13, skol12, skol14 ),
% 1.18/1.58 k1_zfmisc_1( k1_zfmisc_1( skol13 ) ) ) }.
% 1.18/1.58 { ! r2_hidden( X, Y ), ! r2_hidden( Y, X ) }.
% 1.18/1.58 { ! v1_xboole_0( X ), v1_relat_1( X ) }.
% 1.18/1.58 { ! m1_subset_1( X, k1_zfmisc_1( k2_zfmisc_1( Y, Z ) ) ), v1_relat_1( X ) }
% 1.18/1.58 .
% 1.18/1.58 { ! m2_relset_1( Z, X, Y ), ! m1_subset_1( T, X ), k2_relset_2( X, Y, Z, T
% 1.18/1.58 ) = k10_relset_1( X, Y, Z, k1_tarski( T ) ) }.
% 1.18/1.58 { ! m1_relset_1( Z, X, Y ), m1_subset_1( k10_relset_1( X, Y, Z, T ),
% 1.18/1.58 k1_zfmisc_1( Y ) ) }.
% 1.18/1.58 { && }.
% 1.18/1.58 { && }.
% 1.18/1.58 { && }.
% 1.18/1.58 { ! m1_relset_1( Z, X, Y ), ! m1_subset_1( T, X ), m1_subset_1( k2_relset_2
% 1.18/1.58 ( X, Y, Z, T ), k1_zfmisc_1( Y ) ) }.
% 1.18/1.58 { && }.
% 1.18/1.58 { && }.
% 1.18/1.58 { && }.
% 1.18/1.58 { && }.
% 1.18/1.58 { ! m2_relset_1( Z, X, Y ), m1_subset_1( Z, k1_zfmisc_1( k2_zfmisc_1( X, Y
% 1.18/1.58 ) ) ) }.
% 1.18/1.58 { m1_relset_1( skol2( X, Y ), X, Y ) }.
% 1.18/1.58 { m1_subset_1( skol3( X ), X ) }.
% 1.18/1.58 { m2_relset_1( skol4( X, Y ), X, Y ) }.
% 1.18/1.58 { v1_xboole_0( k1_xboole_0 ) }.
% 1.18/1.58 { v1_relat_1( k1_xboole_0 ) }.
% 1.18/1.58 { v3_relat_1( k1_xboole_0 ) }.
% 1.18/1.58 { ! v1_xboole_0( k1_zfmisc_1( X ) ) }.
% 1.18/1.58 { v1_relat_1( k2_zfmisc_1( X, Y ) ) }.
% 1.18/1.58 { ! v1_xboole_0( k1_tarski( X ) ) }.
% 1.18/1.58 { v1_xboole_0( k1_xboole_0 ) }.
% 1.18/1.58 { v1_relat_1( k1_xboole_0 ) }.
% 1.18/1.58 { v1_xboole_0( X ), v1_xboole_0( Y ), ! v1_xboole_0( k2_zfmisc_1( X, Y ) )
% 1.18/1.58 }.
% 1.18/1.58 { v1_xboole_0( X ), ! m1_subset_1( Z, k1_zfmisc_1( X ) ), ! m2_relset_1( T
% 1.18/1.58 , X, Y ), ! r2_hidden( U, a_4_0_relset_2( X, Y, Z, T ) ), m1_subset_1(
% 1.18/1.58 skol5( X, W, V0, V1, V2 ), X ) }.
% 1.18/1.58 { v1_xboole_0( X ), ! m1_subset_1( Z, k1_zfmisc_1( X ) ), ! m2_relset_1( T
% 1.18/1.58 , X, Y ), ! r2_hidden( U, a_4_0_relset_2( X, Y, Z, T ) ), alpha1( X, Y, Z
% 1.18/1.58 , T, U, skol5( X, Y, Z, T, U ) ) }.
% 1.18/1.58 { v1_xboole_0( X ), ! m1_subset_1( Z, k1_zfmisc_1( X ) ), ! m2_relset_1( T
% 1.18/1.58 , X, Y ), ! m1_subset_1( W, X ), ! alpha1( X, Y, Z, T, U, W ), r2_hidden
% 1.18/1.58 ( U, a_4_0_relset_2( X, Y, Z, T ) ) }.
% 1.18/1.58 { ! alpha1( X, Y, Z, T, U, W ), U = k2_relset_2( X, Y, T, W ) }.
% 1.18/1.58 { ! alpha1( X, Y, Z, T, U, W ), r2_hidden( W, Z ) }.
% 1.18/1.58 { ! U = k2_relset_2( X, Y, T, W ), ! r2_hidden( W, Z ), alpha1( X, Y, Z, T
% 1.18/1.58 , U, W ) }.
% 1.18/1.58 { v1_xboole_0( skol6 ) }.
% 1.18/1.58 { v1_relat_1( skol6 ) }.
% 1.18/1.58 { v1_xboole_0( X ), ! v1_xboole_0( skol7( Y ) ) }.
% 1.18/1.58 { v1_xboole_0( X ), m1_subset_1( skol7( X ), k1_zfmisc_1( X ) ) }.
% 1.18/1.58 { ! v1_xboole_0( skol8 ) }.
% 1.18/1.58 { v1_relat_1( skol8 ) }.
% 1.18/1.58 { v1_xboole_0( skol9( Y ) ) }.
% 1.18/1.58 { m1_subset_1( skol9( X ), k1_zfmisc_1( X ) ) }.
% 1.18/1.58 { v1_relat_1( skol10 ) }.
% 1.18/1.58 { v3_relat_1( skol10 ) }.
% 1.18/1.58 { ! m1_relset_1( Z, X, Y ), k10_relset_1( X, Y, Z, T ) = k9_relat_1( Z, T )
% 1.18/1.58 }.
% 1.18/1.58 { ! m2_relset_1( Z, X, Y ), m1_relset_1( Z, X, Y ) }.
% 1.18/1.58 { ! m1_relset_1( Z, X, Y ), m2_relset_1( Z, X, Y ) }.
% 1.18/1.58 { r1_tarski( X, X ) }.
% 1.18/1.58 { v1_xboole_0( X ), ! m1_subset_1( Z, k1_zfmisc_1( X ) ), ! m2_relset_1( T
% 1.18/1.58 , X, Y ), m1_subset_1( a_4_0_relset_2( X, Y, Z, T ), k1_zfmisc_1(
% 1.18/1.58 k1_zfmisc_1( Y ) ) ) }.
% 1.18/1.58 { ! r2_hidden( X, Y ), m1_subset_1( X, Y ) }.
% 1.18/1.58 { ! m1_subset_1( X, Y ), v1_xboole_0( Y ), r2_hidden( X, Y ) }.
% 1.18/1.58 { alpha2( X, Y, skol11( X, Y ) ), r2_hidden( skol11( X, Y ), Y ), X = Y }.
% 1.18/1.58 { alpha2( X, Y, skol11( X, Y ) ), ! r2_hidden( skol11( X, Y ), X ), X = Y }
% 1.18/1.58 .
% 1.18/1.58 { ! alpha2( X, Y, Z ), r2_hidden( Z, X ) }.
% 1.18/1.58 { ! alpha2( X, Y, Z ), ! r2_hidden( Z, Y ) }.
% 1.18/1.58 { ! r2_hidden( Z, X ), r2_hidden( Z, Y ), alpha2( X, Y, Z ) }.
% 1.18/1.58 { ! m1_subset_1( X, k1_zfmisc_1( Y ) ), r1_tarski( X, Y ) }.
% 1.18/1.58 { ! r1_tarski( X, Y ), m1_subset_1( X, k1_zfmisc_1( Y ) ) }.
% 1.18/1.58 { ! r2_hidden( X, Z ), ! m1_subset_1( Z, k1_zfmisc_1( Y ) ), m1_subset_1( X
% 1.18/1.58 , Y ) }.
% 1.18/1.58 { ! r2_hidden( X, Y ), ! m1_subset_1( Y, k1_zfmisc_1( Z ) ), ! v1_xboole_0
% 1.18/1.58 ( Z ) }.
% 1.18/1.58 { ! v1_xboole_0( X ), X = k1_xboole_0 }.
% 1.18/1.58 { ! r2_hidden( X, Y ), ! v1_xboole_0( Y ) }.
% 1.18/1.58 { ! v1_xboole_0( X ), X = Y, ! v1_xboole_0( Y ) }.
% 1.18/1.58
% 1.18/1.58 percentage equality = 0.070175, percentage horn = 0.824561
% 1.18/1.58 This is a problem with some equality
% 1.18/1.58
% 1.18/1.58
% 1.18/1.58
% 1.18/1.58 Options Used:
% 1.18/1.58
% 1.18/1.58 useres = 1
% 1.18/1.58 useparamod = 1
% 1.18/1.58 useeqrefl = 1
% 1.18/1.58 useeqfact = 1
% 4.51/4.87 usefactor = 1
% 4.51/4.87 usesimpsplitting = 0
% 4.51/4.87 usesimpdemod = 5
% 4.51/4.87 usesimpres = 3
% 4.51/4.87
% 4.51/4.87 resimpinuse = 1000
% 4.51/4.87 resimpclauses = 20000
% 4.51/4.87 substype = eqrewr
% 4.51/4.87 backwardsubs = 1
% 4.51/4.87 selectoldest = 5
% 4.51/4.87
% 4.51/4.87 litorderings [0] = split
% 4.51/4.87 litorderings [1] = extend the termordering, first sorting on arguments
% 4.51/4.87
% 4.51/4.87 termordering = kbo
% 4.51/4.87
% 4.51/4.87 litapriori = 0
% 4.51/4.87 termapriori = 1
% 4.51/4.87 litaposteriori = 0
% 4.51/4.87 termaposteriori = 0
% 4.51/4.87 demodaposteriori = 0
% 4.51/4.87 ordereqreflfact = 0
% 4.51/4.87
% 4.51/4.87 litselect = negord
% 4.51/4.87
% 4.51/4.87 maxweight = 15
% 4.51/4.87 maxdepth = 30000
% 4.51/4.87 maxlength = 115
% 4.51/4.87 maxnrvars = 195
% 4.51/4.87 excuselevel = 1
% 4.51/4.87 increasemaxweight = 1
% 4.51/4.87
% 4.51/4.87 maxselected = 10000000
% 4.51/4.87 maxnrclauses = 10000000
% 4.51/4.87
% 4.51/4.87 showgenerated = 0
% 4.51/4.87 showkept = 0
% 4.51/4.87 showselected = 0
% 4.51/4.87 showdeleted = 0
% 4.51/4.87 showresimp = 1
% 4.51/4.87 showstatus = 2000
% 4.51/4.87
% 4.51/4.87 prologoutput = 0
% 4.51/4.87 nrgoals = 5000000
% 4.51/4.87 totalproof = 1
% 4.51/4.87
% 4.51/4.87 Symbols occurring in the translation:
% 4.51/4.87
% 4.51/4.87 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.51/4.87 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 4.51/4.87 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 4.51/4.87 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 4.51/4.87 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.51/4.87 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.51/4.87 v1_xboole_0 [36, 1] (w:1, o:25, a:1, s:1, b:0),
% 4.51/4.87 k1_zfmisc_1 [39, 1] (w:1, o:26, a:1, s:1, b:0),
% 4.51/4.87 m1_subset_1 [40, 2] (w:1, o:57, a:1, s:1, b:0),
% 4.51/4.87 m2_relset_1 [42, 3] (w:1, o:66, a:1, s:1, b:0),
% 4.51/4.87 a_4_0_relset_2 [43, 4] (w:1, o:68, a:1, s:1, b:0),
% 4.51/4.87 r2_hidden [44, 2] (w:1, o:59, a:1, s:1, b:0),
% 4.51/4.87 v1_relat_1 [45, 1] (w:1, o:27, a:1, s:1, b:0),
% 4.51/4.87 k2_zfmisc_1 [46, 2] (w:1, o:60, a:1, s:1, b:0),
% 4.51/4.87 k2_relset_2 [47, 4] (w:1, o:70, a:1, s:1, b:0),
% 4.51/4.87 k1_tarski [48, 1] (w:1, o:28, a:1, s:1, b:0),
% 4.51/4.87 k10_relset_1 [49, 4] (w:1, o:69, a:1, s:1, b:0),
% 4.51/4.87 m1_relset_1 [50, 3] (w:1, o:65, a:1, s:1, b:0),
% 4.51/4.87 k1_xboole_0 [51, 0] (w:1, o:10, a:1, s:1, b:0),
% 4.51/4.87 v3_relat_1 [52, 1] (w:1, o:29, a:1, s:1, b:0),
% 4.51/4.87 k9_relat_1 [55, 2] (w:1, o:61, a:1, s:1, b:0),
% 4.51/4.87 r1_tarski [56, 2] (w:1, o:58, a:1, s:1, b:0),
% 4.51/4.87 alpha1 [57, 6] (w:1, o:72, a:1, s:1, b:1),
% 4.51/4.87 alpha2 [58, 3] (w:1, o:67, a:1, s:1, b:1),
% 4.51/4.87 skol1 [59, 0] (w:1, o:13, a:1, s:1, b:1),
% 4.51/4.87 skol2 [60, 2] (w:1, o:63, a:1, s:1, b:1),
% 4.51/4.87 skol3 [61, 1] (w:1, o:30, a:1, s:1, b:1),
% 4.51/4.87 skol4 [62, 2] (w:1, o:64, a:1, s:1, b:1),
% 4.51/4.87 skol5 [63, 5] (w:1, o:71, a:1, s:1, b:1),
% 4.51/4.87 skol6 [64, 0] (w:1, o:14, a:1, s:1, b:1),
% 4.51/4.87 skol7 [65, 1] (w:1, o:31, a:1, s:1, b:1),
% 4.51/4.87 skol8 [66, 0] (w:1, o:15, a:1, s:1, b:1),
% 4.51/4.87 skol9 [67, 1] (w:1, o:32, a:1, s:1, b:1),
% 4.51/4.87 skol10 [68, 0] (w:1, o:16, a:1, s:1, b:1),
% 4.51/4.87 skol11 [69, 2] (w:1, o:62, a:1, s:1, b:1),
% 4.51/4.87 skol12 [70, 0] (w:1, o:17, a:1, s:1, b:1),
% 4.51/4.87 skol13 [71, 0] (w:1, o:18, a:1, s:1, b:1),
% 4.51/4.87 skol14 [72, 0] (w:1, o:19, a:1, s:1, b:1).
% 4.51/4.87
% 4.51/4.87
% 4.51/4.87 Starting Search:
% 4.51/4.87
% 4.51/4.87 *** allocated 15000 integers for clauses
% 4.51/4.87 *** allocated 22500 integers for clauses
% 4.51/4.87 *** allocated 33750 integers for clauses
% 4.51/4.87 *** allocated 50625 integers for clauses
% 4.51/4.87 *** allocated 15000 integers for termspace/termends
% 4.51/4.87 *** allocated 75937 integers for clauses
% 4.51/4.87 *** allocated 22500 integers for termspace/termends
% 4.51/4.87 Resimplifying inuse:
% 4.51/4.87 Done
% 4.51/4.87
% 4.51/4.87 *** allocated 113905 integers for clauses
% 4.51/4.87 *** allocated 33750 integers for termspace/termends
% 4.51/4.87
% 4.51/4.87 Intermediate Status:
% 4.51/4.87 Generated: 5757
% 4.51/4.87 Kept: 2037
% 4.51/4.87 Inuse: 214
% 4.51/4.87 Deleted: 28
% 4.51/4.87 Deletedinuse: 9
% 4.51/4.87
% 4.51/4.87 *** allocated 170857 integers for clauses
% 4.51/4.87 Resimplifying inuse:
% 4.51/4.87 Done
% 4.51/4.87
% 4.51/4.87 *** allocated 50625 integers for termspace/termends
% 4.51/4.87 *** allocated 256285 integers for clauses
% 4.51/4.87 Resimplifying inuse:
% 4.51/4.87 Done
% 4.51/4.87
% 4.51/4.87 *** allocated 75937 integers for termspace/termends
% 4.51/4.87
% 4.51/4.87 Intermediate Status:
% 4.51/4.87 Generated: 11054
% 4.51/4.87 Kept: 4181
% 4.51/4.87 Inuse: 315
% 4.51/4.87 Deleted: 46
% 4.51/4.87 Deletedinuse: 20
% 4.51/4.87
% 4.51/4.87 Resimplifying inuse:
% 4.51/4.87 Done
% 4.51/4.87
% 4.51/4.87 *** allocated 384427 integers for clauses
% 4.51/4.87 *** allocated 113905 integers for termspace/termends
% 4.51/4.87 Resimplifying inuse:
% 4.51/4.87 Done
% 4.51/4.87
% 4.51/4.87
% 4.51/4.87 Intermediate Status:
% 4.51/4.87 Generated: 16805
% 4.51/4.87 Kept: 6346
% 4.51/4.87 Inuse: 375
% 4.51/4.87 Deleted: 47
% 4.51/4.87 Deletedinuse: 21
% 4.51/4.87
% 4.51/4.87 Resimplifying inuse:
% 4.51/4.87 Done
% 4.51/4.87
% 4.51/4.87 *** allocated 576640 integers for clauses
% 4.51/4.87 Resimplifying inuse:
% 4.51/4.87 Done
% 4.51/4.87
% 4.51/4.87
% 4.51/4.87 Intermediate Status:
% 4.51/4.87 Generated: 20140
% 4.51/4.87 Kept: 8384
% 4.51/4.87 Inuse: 413
% 4.51/4.87 Deleted: 53
% 4.51/4.87 Deletedinuse: 26
% 4.51/4.87
% 4.51/4.87 *** allocated 170857 integers for termspace/termends
% 4.51/4.87 Resimplifying inuse:
% 4.51/4.87 Done
% 4.51/4.87
% 4.51/4.87 Resimplifying inuse:
% 4.51/4.87 Done
% 4.51/4.87
% 4.51/4.87
% 4.51/4.87 Intermediate Status:
% 4.51/4.87 Generated: 26427
% 4.51/4.87 Kept: 10457
% 4.51/4.87 Inuse: 466
% 4.51/4.87 Deleted: 62
% 4.51/4.87 Deletedinuse: 32
% 4.51/4.87
% 4.51/4.87 Resimplifying inuse:
% 4.51/4.87 Done
% 4.51/4.87
% 4.51/4.87 *** allocated 864960 integers for clauses
% 4.51/4.87 Resimplifying inuse:
% 4.51/4.87 Done
% 4.51/4.87
% 4.51/4.87
% 4.51/4.87 Intermediate Status:
% 4.51/4.87 Generated: 30715
% 4.51/4.87 Kept: 12464
% 4.51/4.87 Inuse: 502
% 4.51/4.87 Deleted: 63
% 4.51/4.87 Deletedinuse: 32
% 4.51/4.87
% 4.51/4.87 *** allocated 256285 integers for termspace/termends
% 4.51/4.87 Resimplifying inuse:
% 4.51/4.87 Done
% 4.51/4.87
% 4.51/4.87
% 4.51/4.87 Intermediate Status:
% 4.51/4.87 Generated: 35851
% 4.51/4.87 Kept: 14570
% 4.51/4.87 Inuse: 534
% 4.51/4.87 Deleted: 77
% 4.51/4.87 Deletedinuse: 35
% 4.51/4.87
% 4.51/4.87 Resimplifying inuse:
% 4.51/4.87 Done
% 4.51/4.87
% 4.51/4.87 Resimplifying inuse:
% 4.51/4.87 Done
% 4.51/4.87
% 4.51/4.87
% 4.51/4.87 Intermediate Status:
% 4.51/4.87 Generated: 44305
% 4.51/4.87 Kept: 16732
% 4.51/4.87 Inuse: 574
% 4.51/4.87 Deleted: 79
% 4.51/4.87 Deletedinuse: 35
% 4.51/4.87
% 4.51/4.87 Resimplifying inuse:
% 4.51/4.87 Done
% 4.51/4.87
% 4.51/4.87 Resimplifying inuse:
% 4.51/4.87 Done
% 4.51/4.87
% 4.51/4.87 *** allocated 1297440 integers for clauses
% 4.51/4.87
% 4.51/4.87 Intermediate Status:
% 4.51/4.87 Generated: 52408
% 4.51/4.87 Kept: 18756
% 4.51/4.87 Inuse: 621
% 4.51/4.87 Deleted: 82
% 4.51/4.87 Deletedinuse: 35
% 4.51/4.87
% 4.51/4.87 Resimplifying inuse:
% 4.51/4.87 Done
% 4.51/4.87
% 4.51/4.87 *** allocated 384427 integers for termspace/termends
% 4.51/4.87 Resimplifying inuse:
% 4.51/4.87 Done
% 4.51/4.87
% 4.51/4.87 Resimplifying clauses:
% 4.51/4.87
% 4.51/4.87 Bliksems!, er is een bewijs:
% 4.51/4.87 % SZS status Theorem
% 4.51/4.87 % SZS output start Refutation
% 4.51/4.87
% 4.51/4.87 (0) {G0,W2,D2,L1,V0,M1} I { ! v1_xboole_0( skol1 ) }.
% 4.51/4.87 (1) {G0,W4,D3,L1,V0,M1} I { m1_subset_1( skol12, k1_zfmisc_1( skol1 ) ) }.
% 4.51/4.87 (2) {G0,W4,D2,L1,V0,M1} I { m2_relset_1( skol14, skol1, skol13 ) }.
% 4.51/4.87 (3) {G0,W9,D4,L1,V0,M1} I { ! m1_subset_1( a_4_0_relset_2( skol1, skol13,
% 4.51/4.87 skol12, skol14 ), k1_zfmisc_1( k1_zfmisc_1( skol13 ) ) ) }.
% 4.51/4.87 (42) {G0,W19,D4,L4,V4,M4} I { v1_xboole_0( X ), ! m1_subset_1( Z,
% 4.51/4.87 k1_zfmisc_1( X ) ), ! m2_relset_1( T, X, Y ), m1_subset_1( a_4_0_relset_2
% 4.51/4.87 ( X, Y, Z, T ), k1_zfmisc_1( k1_zfmisc_1( Y ) ) ) }.
% 4.51/4.87 (730) {G1,W8,D3,L2,V0,M2} R(42,3);r(0) { ! m1_subset_1( skol12, k1_zfmisc_1
% 4.51/4.87 ( skol1 ) ), ! m2_relset_1( skol14, skol1, skol13 ) }.
% 4.51/4.87 (20275) {G2,W0,D0,L0,V0,M0} S(730);r(1);r(2) { }.
% 4.51/4.87
% 4.51/4.87
% 4.51/4.87 % SZS output end Refutation
% 4.51/4.87 found a proof!
% 4.51/4.87
% 4.51/4.87
% 4.51/4.87 Unprocessed initial clauses:
% 4.51/4.87
% 4.51/4.87 (20277) {G0,W2,D2,L1,V0,M1} { ! v1_xboole_0( skol1 ) }.
% 4.51/4.87 (20278) {G0,W4,D3,L1,V0,M1} { m1_subset_1( skol12, k1_zfmisc_1( skol1 ) )
% 4.51/4.87 }.
% 4.51/4.87 (20279) {G0,W4,D2,L1,V0,M1} { m2_relset_1( skol14, skol1, skol13 ) }.
% 4.51/4.87 (20280) {G0,W9,D4,L1,V0,M1} { ! m1_subset_1( a_4_0_relset_2( skol1, skol13
% 4.51/4.87 , skol12, skol14 ), k1_zfmisc_1( k1_zfmisc_1( skol13 ) ) ) }.
% 4.51/4.87 (20281) {G0,W6,D2,L2,V2,M2} { ! r2_hidden( X, Y ), ! r2_hidden( Y, X ) }.
% 4.51/4.87 (20282) {G0,W4,D2,L2,V1,M2} { ! v1_xboole_0( X ), v1_relat_1( X ) }.
% 4.51/4.87 (20283) {G0,W8,D4,L2,V3,M2} { ! m1_subset_1( X, k1_zfmisc_1( k2_zfmisc_1(
% 4.51/4.87 Y, Z ) ) ), v1_relat_1( X ) }.
% 4.51/4.87 (20284) {G0,W19,D4,L3,V4,M3} { ! m2_relset_1( Z, X, Y ), ! m1_subset_1( T
% 4.51/4.87 , X ), k2_relset_2( X, Y, Z, T ) = k10_relset_1( X, Y, Z, k1_tarski( T )
% 4.51/4.87 ) }.
% 4.51/4.87 (20285) {G0,W12,D3,L2,V4,M2} { ! m1_relset_1( Z, X, Y ), m1_subset_1(
% 4.51/4.87 k10_relset_1( X, Y, Z, T ), k1_zfmisc_1( Y ) ) }.
% 4.51/4.87 (20286) {G0,W1,D1,L1,V0,M1} { && }.
% 4.51/4.87 (20287) {G0,W1,D1,L1,V0,M1} { && }.
% 4.51/4.87 (20288) {G0,W1,D1,L1,V0,M1} { && }.
% 4.51/4.87 (20289) {G0,W15,D3,L3,V4,M3} { ! m1_relset_1( Z, X, Y ), ! m1_subset_1( T
% 4.51/4.87 , X ), m1_subset_1( k2_relset_2( X, Y, Z, T ), k1_zfmisc_1( Y ) ) }.
% 4.51/4.87 (20290) {G0,W1,D1,L1,V0,M1} { && }.
% 4.51/4.87 (20291) {G0,W1,D1,L1,V0,M1} { && }.
% 4.51/4.87 (20292) {G0,W1,D1,L1,V0,M1} { && }.
% 4.51/4.87 (20293) {G0,W1,D1,L1,V0,M1} { && }.
% 4.51/4.87 (20294) {G0,W10,D4,L2,V3,M2} { ! m2_relset_1( Z, X, Y ), m1_subset_1( Z,
% 4.51/4.87 k1_zfmisc_1( k2_zfmisc_1( X, Y ) ) ) }.
% 4.51/4.87 (20295) {G0,W6,D3,L1,V2,M1} { m1_relset_1( skol2( X, Y ), X, Y ) }.
% 4.51/4.87 (20296) {G0,W4,D3,L1,V1,M1} { m1_subset_1( skol3( X ), X ) }.
% 4.51/4.87 (20297) {G0,W6,D3,L1,V2,M1} { m2_relset_1( skol4( X, Y ), X, Y ) }.
% 4.51/4.87 (20298) {G0,W2,D2,L1,V0,M1} { v1_xboole_0( k1_xboole_0 ) }.
% 4.51/4.87 (20299) {G0,W2,D2,L1,V0,M1} { v1_relat_1( k1_xboole_0 ) }.
% 4.51/4.87 (20300) {G0,W2,D2,L1,V0,M1} { v3_relat_1( k1_xboole_0 ) }.
% 4.51/4.87 (20301) {G0,W3,D3,L1,V1,M1} { ! v1_xboole_0( k1_zfmisc_1( X ) ) }.
% 4.51/4.87 (20302) {G0,W4,D3,L1,V2,M1} { v1_relat_1( k2_zfmisc_1( X, Y ) ) }.
% 4.51/4.87 (20303) {G0,W3,D3,L1,V1,M1} { ! v1_xboole_0( k1_tarski( X ) ) }.
% 4.51/4.87 (20304) {G0,W2,D2,L1,V0,M1} { v1_xboole_0( k1_xboole_0 ) }.
% 4.51/4.87 (20305) {G0,W2,D2,L1,V0,M1} { v1_relat_1( k1_xboole_0 ) }.
% 4.51/4.87 (20306) {G0,W8,D3,L3,V2,M3} { v1_xboole_0( X ), v1_xboole_0( Y ), !
% 4.51/4.87 v1_xboole_0( k2_zfmisc_1( X, Y ) ) }.
% 4.51/4.87 (20307) {G0,W25,D3,L5,V9,M5} { v1_xboole_0( X ), ! m1_subset_1( Z,
% 4.51/4.87 k1_zfmisc_1( X ) ), ! m2_relset_1( T, X, Y ), ! r2_hidden( U,
% 4.51/4.87 a_4_0_relset_2( X, Y, Z, T ) ), m1_subset_1( skol5( X, W, V0, V1, V2 ), X
% 4.51/4.87 ) }.
% 4.51/4.87 (20308) {G0,W29,D3,L5,V5,M5} { v1_xboole_0( X ), ! m1_subset_1( Z,
% 4.51/4.87 k1_zfmisc_1( X ) ), ! m2_relset_1( T, X, Y ), ! r2_hidden( U,
% 4.51/4.87 a_4_0_relset_2( X, Y, Z, T ) ), alpha1( X, Y, Z, T, U, skol5( X, Y, Z, T
% 4.51/4.87 , U ) ) }.
% 4.51/4.87 (20309) {G0,W27,D3,L6,V6,M6} { v1_xboole_0( X ), ! m1_subset_1( Z,
% 4.51/4.87 k1_zfmisc_1( X ) ), ! m2_relset_1( T, X, Y ), ! m1_subset_1( W, X ), !
% 4.51/4.87 alpha1( X, Y, Z, T, U, W ), r2_hidden( U, a_4_0_relset_2( X, Y, Z, T ) )
% 4.51/4.87 }.
% 4.51/4.87 (20310) {G0,W14,D3,L2,V6,M2} { ! alpha1( X, Y, Z, T, U, W ), U =
% 4.51/4.87 k2_relset_2( X, Y, T, W ) }.
% 4.51/4.87 (20311) {G0,W10,D2,L2,V6,M2} { ! alpha1( X, Y, Z, T, U, W ), r2_hidden( W
% 4.51/4.87 , Z ) }.
% 4.51/4.87 (20312) {G0,W17,D3,L3,V6,M3} { ! U = k2_relset_2( X, Y, T, W ), !
% 4.51/4.87 r2_hidden( W, Z ), alpha1( X, Y, Z, T, U, W ) }.
% 4.51/4.87 (20313) {G0,W2,D2,L1,V0,M1} { v1_xboole_0( skol6 ) }.
% 4.51/4.87 (20314) {G0,W2,D2,L1,V0,M1} { v1_relat_1( skol6 ) }.
% 4.51/4.87 (20315) {G0,W5,D3,L2,V2,M2} { v1_xboole_0( X ), ! v1_xboole_0( skol7( Y )
% 4.51/4.87 ) }.
% 4.51/4.87 (20316) {G0,W7,D3,L2,V1,M2} { v1_xboole_0( X ), m1_subset_1( skol7( X ),
% 4.51/4.87 k1_zfmisc_1( X ) ) }.
% 4.51/4.87 (20317) {G0,W2,D2,L1,V0,M1} { ! v1_xboole_0( skol8 ) }.
% 4.51/4.87 (20318) {G0,W2,D2,L1,V0,M1} { v1_relat_1( skol8 ) }.
% 4.51/4.87 (20319) {G0,W3,D3,L1,V1,M1} { v1_xboole_0( skol9( Y ) ) }.
% 4.51/4.87 (20320) {G0,W5,D3,L1,V1,M1} { m1_subset_1( skol9( X ), k1_zfmisc_1( X ) )
% 4.51/4.87 }.
% 4.51/4.87 (20321) {G0,W2,D2,L1,V0,M1} { v1_relat_1( skol10 ) }.
% 4.51/4.87 (20322) {G0,W2,D2,L1,V0,M1} { v3_relat_1( skol10 ) }.
% 4.51/4.87 (20323) {G0,W13,D3,L2,V4,M2} { ! m1_relset_1( Z, X, Y ), k10_relset_1( X,
% 4.51/4.87 Y, Z, T ) = k9_relat_1( Z, T ) }.
% 4.51/4.87 (20324) {G0,W8,D2,L2,V3,M2} { ! m2_relset_1( Z, X, Y ), m1_relset_1( Z, X
% 4.51/4.87 , Y ) }.
% 4.51/4.87 (20325) {G0,W8,D2,L2,V3,M2} { ! m1_relset_1( Z, X, Y ), m2_relset_1( Z, X
% 4.51/4.87 , Y ) }.
% 4.51/4.87 (20326) {G0,W3,D2,L1,V1,M1} { r1_tarski( X, X ) }.
% 4.51/4.87 (20327) {G0,W19,D4,L4,V4,M4} { v1_xboole_0( X ), ! m1_subset_1( Z,
% 4.51/4.87 k1_zfmisc_1( X ) ), ! m2_relset_1( T, X, Y ), m1_subset_1( a_4_0_relset_2
% 4.51/4.87 ( X, Y, Z, T ), k1_zfmisc_1( k1_zfmisc_1( Y ) ) ) }.
% 4.51/4.87 (20328) {G0,W6,D2,L2,V2,M2} { ! r2_hidden( X, Y ), m1_subset_1( X, Y ) }.
% 4.51/4.87 (20329) {G0,W8,D2,L3,V2,M3} { ! m1_subset_1( X, Y ), v1_xboole_0( Y ),
% 4.51/4.87 r2_hidden( X, Y ) }.
% 4.51/4.87 (20330) {G0,W14,D3,L3,V2,M3} { alpha2( X, Y, skol11( X, Y ) ), r2_hidden(
% 4.51/4.87 skol11( X, Y ), Y ), X = Y }.
% 4.51/4.87 (20331) {G0,W14,D3,L3,V2,M3} { alpha2( X, Y, skol11( X, Y ) ), ! r2_hidden
% 4.51/4.87 ( skol11( X, Y ), X ), X = Y }.
% 4.51/4.87 (20332) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), r2_hidden( Z, X ) }.
% 4.51/4.87 (20333) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! r2_hidden( Z, Y ) }.
% 4.51/4.87 (20334) {G0,W10,D2,L3,V3,M3} { ! r2_hidden( Z, X ), r2_hidden( Z, Y ),
% 4.51/4.87 alpha2( X, Y, Z ) }.
% 4.51/4.87 (20335) {G0,W7,D3,L2,V2,M2} { ! m1_subset_1( X, k1_zfmisc_1( Y ) ),
% 4.51/4.87 r1_tarski( X, Y ) }.
% 4.51/4.87 (20336) {G0,W7,D3,L2,V2,M2} { ! r1_tarski( X, Y ), m1_subset_1( X,
% 4.51/4.87 k1_zfmisc_1( Y ) ) }.
% 4.51/4.87 (20337) {G0,W10,D3,L3,V3,M3} { ! r2_hidden( X, Z ), ! m1_subset_1( Z,
% 4.51/4.87 k1_zfmisc_1( Y ) ), m1_subset_1( X, Y ) }.
% 4.51/4.87 (20338) {G0,W9,D3,L3,V3,M3} { ! r2_hidden( X, Y ), ! m1_subset_1( Y,
% 4.51/4.87 k1_zfmisc_1( Z ) ), ! v1_xboole_0( Z ) }.
% 4.51/4.87 (20339) {G0,W5,D2,L2,V1,M2} { ! v1_xboole_0( X ), X = k1_xboole_0 }.
% 4.51/4.87 (20340) {G0,W5,D2,L2,V2,M2} { ! r2_hidden( X, Y ), ! v1_xboole_0( Y ) }.
% 4.51/4.87 (20341) {G0,W7,D2,L3,V2,M3} { ! v1_xboole_0( X ), X = Y, ! v1_xboole_0( Y
% 4.51/4.87 ) }.
% 4.51/4.87
% 4.51/4.87
% 4.51/4.87 Total Proof:
% 4.51/4.87
% 4.51/4.87 subsumption: (0) {G0,W2,D2,L1,V0,M1} I { ! v1_xboole_0( skol1 ) }.
% 4.51/4.87 parent0: (20277) {G0,W2,D2,L1,V0,M1} { ! v1_xboole_0( skol1 ) }.
% 4.51/4.87 substitution0:
% 4.51/4.87 end
% 4.51/4.87 permutation0:
% 4.51/4.87 0 ==> 0
% 4.51/4.87 end
% 4.51/4.87
% 4.51/4.87 subsumption: (1) {G0,W4,D3,L1,V0,M1} I { m1_subset_1( skol12, k1_zfmisc_1(
% 4.51/4.87 skol1 ) ) }.
% 4.51/4.87 parent0: (20278) {G0,W4,D3,L1,V0,M1} { m1_subset_1( skol12, k1_zfmisc_1(
% 4.51/4.87 skol1 ) ) }.
% 4.51/4.87 substitution0:
% 4.51/4.87 end
% 4.51/4.87 permutation0:
% 4.51/4.87 0 ==> 0
% 4.51/4.87 end
% 4.51/4.87
% 4.51/4.87 subsumption: (2) {G0,W4,D2,L1,V0,M1} I { m2_relset_1( skol14, skol1, skol13
% 4.51/4.87 ) }.
% 4.51/4.87 parent0: (20279) {G0,W4,D2,L1,V0,M1} { m2_relset_1( skol14, skol1, skol13
% 4.51/4.87 ) }.
% 4.51/4.87 substitution0:
% 4.51/4.87 end
% 4.51/4.87 permutation0:
% 4.51/4.87 0 ==> 0
% 4.51/4.87 end
% 4.51/4.87
% 4.51/4.87 subsumption: (3) {G0,W9,D4,L1,V0,M1} I { ! m1_subset_1( a_4_0_relset_2(
% 4.51/4.87 skol1, skol13, skol12, skol14 ), k1_zfmisc_1( k1_zfmisc_1( skol13 ) ) )
% 4.51/4.87 }.
% 4.51/4.87 parent0: (20280) {G0,W9,D4,L1,V0,M1} { ! m1_subset_1( a_4_0_relset_2(
% 4.51/4.87 skol1, skol13, skol12, skol14 ), k1_zfmisc_1( k1_zfmisc_1( skol13 ) ) )
% 4.51/4.87 }.
% 4.51/4.87 substitution0:
% 4.51/4.87 end
% 4.51/4.87 permutation0:
% 4.51/4.87 0 ==> 0
% 4.51/4.87 end
% 4.51/4.87
% 4.51/4.87 subsumption: (42) {G0,W19,D4,L4,V4,M4} I { v1_xboole_0( X ), ! m1_subset_1
% 4.51/4.87 ( Z, k1_zfmisc_1( X ) ), ! m2_relset_1( T, X, Y ), m1_subset_1(
% 4.51/4.87 a_4_0_relset_2( X, Y, Z, T ), k1_zfmisc_1( k1_zfmisc_1( Y ) ) ) }.
% 4.51/4.87 parent0: (20327) {G0,W19,D4,L4,V4,M4} { v1_xboole_0( X ), ! m1_subset_1( Z
% 4.51/4.87 , k1_zfmisc_1( X ) ), ! m2_relset_1( T, X, Y ), m1_subset_1(
% 4.51/4.87 a_4_0_relset_2( X, Y, Z, T ), k1_zfmisc_1( k1_zfmisc_1( Y ) ) ) }.
% 4.51/4.87 substitution0:
% 4.51/4.87 X := X
% 4.51/4.87 Y := Y
% 4.51/4.87 Z := Z
% 4.51/4.87 T := T
% 4.51/4.87 end
% 4.51/4.87 permutation0:
% 4.51/4.87 0 ==> 0
% 4.51/4.87 1 ==> 1
% 4.51/4.87 2 ==> 2
% 4.51/4.87 3 ==> 3
% 4.51/4.87 end
% 4.51/4.87
% 4.51/4.87 resolution: (20348) {G1,W10,D3,L3,V0,M3} { v1_xboole_0( skol1 ), !
% 4.51/4.87 m1_subset_1( skol12, k1_zfmisc_1( skol1 ) ), ! m2_relset_1( skol14, skol1
% 4.51/4.87 , skol13 ) }.
% 4.51/4.87 parent0[0]: (3) {G0,W9,D4,L1,V0,M1} I { ! m1_subset_1( a_4_0_relset_2(
% 4.51/4.87 skol1, skol13, skol12, skol14 ), k1_zfmisc_1( k1_zfmisc_1( skol13 ) ) )
% 4.51/4.87 }.
% 4.51/4.87 parent1[3]: (42) {G0,W19,D4,L4,V4,M4} I { v1_xboole_0( X ), ! m1_subset_1(
% 4.51/4.87 Z, k1_zfmisc_1( X ) ), ! m2_relset_1( T, X, Y ), m1_subset_1(
% 4.51/4.87 a_4_0_relset_2( X, Y, Z, T ), k1_zfmisc_1( k1_zfmisc_1( Y ) ) ) }.
% 4.51/4.87 substitution0:
% 4.51/4.87 end
% 4.51/4.87 substitution1:
% 4.51/4.87 X := skol1
% 4.51/4.87 Y := skol13
% 4.51/4.87 Z := skol12
% 4.51/4.87 T := skol14
% 4.51/4.87 end
% 4.51/4.87
% 4.51/4.87 resolution: (20349) {G1,W8,D3,L2,V0,M2} { ! m1_subset_1( skol12,
% 4.51/4.87 k1_zfmisc_1( skol1 ) ), ! m2_relset_1( skol14, skol1, skol13 ) }.
% 4.51/4.87 parent0[0]: (0) {G0,W2,D2,L1,V0,M1} I { ! v1_xboole_0( skol1 ) }.
% 4.51/4.87 parent1[0]: (20348) {G1,W10,D3,L3,V0,M3} { v1_xboole_0( skol1 ), !
% 4.51/4.87 m1_subset_1( skol12, k1_zfmisc_1( skol1 ) ), ! m2_relset_1( skol14, skol1
% 4.51/4.87 , skol13 ) }.
% 4.51/4.87 substitution0:
% 4.51/4.87 end
% 4.51/4.87 substitution1:
% 4.51/4.87 end
% 4.51/4.87
% 4.51/4.87 subsumption: (730) {G1,W8,D3,L2,V0,M2} R(42,3);r(0) { ! m1_subset_1( skol12
% 4.51/4.87 , k1_zfmisc_1( skol1 ) ), ! m2_relset_1( skol14, skol1, skol13 ) }.
% 4.51/4.87 parent0: (20349) {G1,W8,D3,L2,V0,M2} { ! m1_subset_1( skol12, k1_zfmisc_1
% 4.51/4.87 ( skol1 ) ), ! m2_relset_1( skol14, skol1, skol13 ) }.
% 4.51/4.87 substitution0:
% 4.51/4.87 end
% 4.51/4.87 permutation0:
% 4.51/4.87 0 ==> 0
% 4.51/4.87 1 ==> 1
% 4.51/4.87 end
% 4.51/4.87
% 4.51/4.87 resolution: (20350) {G1,W4,D2,L1,V0,M1} { ! m2_relset_1( skol14, skol1,
% 4.51/4.87 skol13 ) }.
% 4.51/4.87 parent0[0]: (730) {G1,W8,D3,L2,V0,M2} R(42,3);r(0) { ! m1_subset_1( skol12
% 4.51/4.87 , k1_zfmisc_1( skol1 ) ), ! m2_relset_1( skol14, skol1, skol13 ) }.
% 4.51/4.87 parent1[0]: (1) {G0,W4,D3,L1,V0,M1} I { m1_subset_1( skol12, k1_zfmisc_1(
% 4.51/4.87 skol1 ) ) }.
% 4.51/4.87 substitution0:
% 4.51/4.87 end
% 4.51/4.87 substitution1:
% 4.51/4.87 end
% 4.51/4.87
% 4.51/4.87 resolution: (20351) {G1,W0,D0,L0,V0,M0} { }.
% 4.51/4.87 parent0[0]: (20350) {G1,W4,D2,L1,V0,M1} { ! m2_relset_1( skol14, skol1,
% 4.51/4.87 skol13 ) }.
% 4.51/4.87 parent1[0]: (2) {G0,W4,D2,L1,V0,M1} I { m2_relset_1( skol14, skol1, skol13
% 4.51/4.87 ) }.
% 4.51/4.87 substitution0:
% 4.51/4.87 end
% 4.51/4.87 substitution1:
% 4.51/4.87 end
% 4.51/4.87
% 4.51/4.87 subsumption: (20275) {G2,W0,D0,L0,V0,M0} S(730);r(1);r(2) { }.
% 4.51/4.87 parent0: (20351) {G1,W0,D0,L0,V0,M0} { }.
% 4.51/4.87 substitution0:
% 4.51/4.87 end
% 4.51/4.87 permutation0:
% 4.51/4.87 end
% 4.51/4.87
% 4.51/4.87 Proof check complete!
% 4.51/4.87
% 4.51/4.87 Memory use:
% 4.51/4.87
% 4.51/4.87 space for terms: 264188
% 4.51/4.87 space for clauses: 964623
% 4.51/4.87
% 4.51/4.87
% 4.51/4.87 clauses generated: 61008
% 4.51/4.87 clauses kept: 20276
% 4.51/4.87 clauses selected: 652
% 4.51/4.87 clauses deleted: 814
% 4.51/4.87 clauses inuse deleted: 36
% 4.51/4.87
% 4.51/4.87 subsentry: 576007
% 4.51/4.87 literals s-matched: 213959
% 4.51/4.87 literals matched: 205053
% 4.51/4.87 full subsumption: 39906
% 4.51/4.87
% 4.51/4.87 checksum: -797530450
% 4.51/4.87
% 4.51/4.87
% 4.51/4.87 Bliksem ended
%------------------------------------------------------------------------------