TSTP Solution File: SET076+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET076+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 : Mon Jul 18 22:46:38 EDT 2022
% Result : Theorem 18.54s 18.91s
% Output : Refutation 18.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET076+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Mon Jul 11 05:13:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.42/1.08 *** allocated 10000 integers for termspace/termends
% 0.42/1.08 *** allocated 10000 integers for clauses
% 0.42/1.08 *** allocated 10000 integers for justifications
% 0.42/1.08 Bliksem 1.12
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Automatic Strategy Selection
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Clauses:
% 0.42/1.08
% 0.42/1.08 { ! subclass( X, Y ), ! member( Z, X ), member( Z, Y ) }.
% 0.42/1.08 { ! member( skol1( Z, Y ), Y ), subclass( X, Y ) }.
% 0.42/1.08 { member( skol1( X, Y ), X ), subclass( X, Y ) }.
% 0.42/1.08 { subclass( X, universal_class ) }.
% 0.42/1.08 { ! X = Y, subclass( X, Y ) }.
% 0.42/1.08 { ! X = Y, subclass( Y, X ) }.
% 0.42/1.08 { ! subclass( X, Y ), ! subclass( Y, X ), X = Y }.
% 0.42/1.08 { ! member( X, unordered_pair( Y, Z ) ), member( X, universal_class ) }.
% 0.42/1.08 { ! member( X, unordered_pair( Y, Z ) ), alpha1( X, Y, Z ) }.
% 0.42/1.08 { ! member( X, universal_class ), ! alpha1( X, Y, Z ), member( X,
% 0.42/1.08 unordered_pair( Y, Z ) ) }.
% 0.42/1.08 { ! alpha1( X, Y, Z ), X = Y, X = Z }.
% 0.42/1.08 { ! X = Y, alpha1( X, Y, Z ) }.
% 0.42/1.08 { ! X = Z, alpha1( X, Y, Z ) }.
% 0.42/1.08 { member( unordered_pair( X, Y ), universal_class ) }.
% 0.42/1.08 { singleton( X ) = unordered_pair( X, X ) }.
% 0.42/1.08 { ordered_pair( X, Y ) = unordered_pair( singleton( X ), unordered_pair( X
% 0.42/1.08 , singleton( Y ) ) ) }.
% 0.42/1.08 { ! member( ordered_pair( X, Y ), cross_product( Z, T ) ), member( X, Z ) }
% 0.42/1.08 .
% 0.42/1.08 { ! member( ordered_pair( X, Y ), cross_product( Z, T ) ), member( Y, T ) }
% 0.42/1.08 .
% 0.42/1.08 { ! member( X, Z ), ! member( Y, T ), member( ordered_pair( X, Y ),
% 0.42/1.08 cross_product( Z, T ) ) }.
% 0.42/1.08 { ! member( X, universal_class ), ! member( Y, universal_class ), first(
% 0.42/1.08 ordered_pair( X, Y ) ) = X }.
% 0.42/1.08 { ! member( X, universal_class ), ! member( Y, universal_class ), second(
% 0.42/1.08 ordered_pair( X, Y ) ) = Y }.
% 0.42/1.08 { ! member( X, cross_product( Y, Z ) ), X = ordered_pair( first( X ),
% 0.42/1.08 second( X ) ) }.
% 0.42/1.08 { ! member( ordered_pair( X, Y ), element_relation ), member( Y,
% 0.42/1.08 universal_class ) }.
% 0.42/1.08 { ! member( ordered_pair( X, Y ), element_relation ), member( X, Y ) }.
% 0.42/1.08 { ! member( Y, universal_class ), ! member( X, Y ), member( ordered_pair( X
% 0.42/1.08 , Y ), element_relation ) }.
% 0.42/1.08 { subclass( element_relation, cross_product( universal_class,
% 0.42/1.08 universal_class ) ) }.
% 0.42/1.08 { ! member( Z, intersection( X, Y ) ), member( Z, X ) }.
% 0.42/1.08 { ! member( Z, intersection( X, Y ) ), member( Z, Y ) }.
% 0.42/1.08 { ! member( Z, X ), ! member( Z, Y ), member( Z, intersection( X, Y ) ) }.
% 0.42/1.08 { ! member( Y, complement( X ) ), member( Y, universal_class ) }.
% 0.42/1.08 { ! member( Y, complement( X ) ), ! member( Y, X ) }.
% 0.42/1.08 { ! member( Y, universal_class ), member( Y, X ), member( Y, complement( X
% 0.42/1.08 ) ) }.
% 0.42/1.08 { restrict( Y, X, Z ) = intersection( Y, cross_product( X, Z ) ) }.
% 0.42/1.08 { ! member( X, null_class ) }.
% 0.42/1.08 { ! member( Y, domain_of( X ) ), member( Y, universal_class ) }.
% 0.42/1.08 { ! member( Y, domain_of( X ) ), ! restrict( X, singleton( Y ),
% 0.42/1.08 universal_class ) = null_class }.
% 0.42/1.08 { ! member( Y, universal_class ), restrict( X, singleton( Y ),
% 0.42/1.08 universal_class ) = null_class, member( Y, domain_of( X ) ) }.
% 0.42/1.08 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ), member
% 0.42/1.08 ( ordered_pair( ordered_pair( Y, Z ), T ), cross_product( cross_product(
% 0.42/1.08 universal_class, universal_class ), universal_class ) ) }.
% 0.42/1.08 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ), member
% 0.42/1.08 ( ordered_pair( ordered_pair( Z, T ), Y ), X ) }.
% 0.42/1.08 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), cross_product(
% 0.42/1.08 cross_product( universal_class, universal_class ), universal_class ) ), !
% 0.42/1.08 member( ordered_pair( ordered_pair( Z, T ), Y ), X ), member(
% 0.42/1.08 ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ) }.
% 0.42/1.08 { subclass( rotate( X ), cross_product( cross_product( universal_class,
% 0.42/1.08 universal_class ), universal_class ) ) }.
% 0.42/1.08 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ), member(
% 0.42/1.08 ordered_pair( ordered_pair( X, Y ), Z ), cross_product( cross_product(
% 0.42/1.08 universal_class, universal_class ), universal_class ) ) }.
% 0.42/1.08 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ), member(
% 0.42/1.08 ordered_pair( ordered_pair( Y, X ), Z ), T ) }.
% 0.42/1.08 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), cross_product(
% 0.42/1.08 cross_product( universal_class, universal_class ), universal_class ) ), !
% 0.42/1.08 member( ordered_pair( ordered_pair( Y, X ), Z ), T ), member(
% 0.42/1.08 ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ) }.
% 0.42/1.08 { subclass( flip( X ), cross_product( cross_product( universal_class,
% 0.72/1.22 universal_class ), universal_class ) ) }.
% 0.72/1.22 { ! member( Z, union( X, Y ) ), member( Z, X ), member( Z, Y ) }.
% 0.72/1.22 { ! member( Z, X ), member( Z, union( X, Y ) ) }.
% 0.72/1.22 { ! member( Z, Y ), member( Z, union( X, Y ) ) }.
% 0.72/1.22 { successor( X ) = union( X, singleton( X ) ) }.
% 0.72/1.22 { subclass( successor_relation, cross_product( universal_class,
% 0.72/1.22 universal_class ) ) }.
% 0.72/1.22 { ! member( ordered_pair( X, Y ), successor_relation ), member( X,
% 0.72/1.22 universal_class ) }.
% 0.72/1.22 { ! member( ordered_pair( X, Y ), successor_relation ), alpha2( X, Y ) }.
% 0.72/1.22 { ! member( X, universal_class ), ! alpha2( X, Y ), member( ordered_pair( X
% 0.72/1.22 , Y ), successor_relation ) }.
% 0.72/1.22 { ! alpha2( X, Y ), member( Y, universal_class ) }.
% 0.72/1.22 { ! alpha2( X, Y ), successor( X ) = Y }.
% 0.72/1.22 { ! member( Y, universal_class ), ! successor( X ) = Y, alpha2( X, Y ) }.
% 0.72/1.22 { inverse( X ) = domain_of( flip( cross_product( X, universal_class ) ) ) }
% 0.72/1.22 .
% 0.72/1.22 { range_of( X ) = domain_of( inverse( X ) ) }.
% 0.72/1.22 { image( Y, X ) = range_of( restrict( Y, X, universal_class ) ) }.
% 0.72/1.22 { ! inductive( X ), member( null_class, X ) }.
% 0.72/1.22 { ! inductive( X ), subclass( image( successor_relation, X ), X ) }.
% 0.72/1.22 { ! member( null_class, X ), ! subclass( image( successor_relation, X ), X
% 0.72/1.22 ), inductive( X ) }.
% 0.72/1.22 { member( skol2, universal_class ) }.
% 0.72/1.22 { inductive( skol2 ) }.
% 0.72/1.22 { ! inductive( X ), subclass( skol2, X ) }.
% 0.72/1.22 { ! member( X, sum_class( Y ) ), member( skol3( Z, Y ), Y ) }.
% 0.72/1.22 { ! member( X, sum_class( Y ) ), member( X, skol3( X, Y ) ) }.
% 0.72/1.22 { ! member( X, Z ), ! member( Z, Y ), member( X, sum_class( Y ) ) }.
% 0.72/1.22 { ! member( X, universal_class ), member( sum_class( X ), universal_class )
% 0.72/1.22 }.
% 0.72/1.22 { ! member( X, power_class( Y ) ), member( X, universal_class ) }.
% 0.72/1.22 { ! member( X, power_class( Y ) ), subclass( X, Y ) }.
% 0.72/1.22 { ! member( X, universal_class ), ! subclass( X, Y ), member( X,
% 0.72/1.22 power_class( Y ) ) }.
% 0.72/1.22 { ! member( X, universal_class ), member( power_class( X ), universal_class
% 0.72/1.22 ) }.
% 0.72/1.22 { subclass( compose( Y, X ), cross_product( universal_class,
% 0.72/1.22 universal_class ) ) }.
% 0.72/1.22 { ! member( ordered_pair( Z, T ), compose( Y, X ) ), member( Z,
% 0.72/1.22 universal_class ) }.
% 0.72/1.22 { ! member( ordered_pair( Z, T ), compose( Y, X ) ), member( T, image( Y,
% 0.72/1.22 image( X, singleton( Z ) ) ) ) }.
% 0.72/1.22 { ! member( Z, universal_class ), ! member( T, image( Y, image( X,
% 0.72/1.22 singleton( Z ) ) ) ), member( ordered_pair( Z, T ), compose( Y, X ) ) }.
% 0.72/1.22 { ! member( X, identity_relation ), member( skol4( Y ), universal_class ) }
% 0.72/1.22 .
% 0.72/1.22 { ! member( X, identity_relation ), X = ordered_pair( skol4( X ), skol4( X
% 0.72/1.22 ) ) }.
% 0.72/1.22 { ! member( Y, universal_class ), ! X = ordered_pair( Y, Y ), member( X,
% 0.72/1.22 identity_relation ) }.
% 0.72/1.22 { ! function( X ), subclass( X, cross_product( universal_class,
% 0.72/1.22 universal_class ) ) }.
% 0.72/1.22 { ! function( X ), subclass( compose( X, inverse( X ) ), identity_relation
% 0.72/1.22 ) }.
% 0.72/1.22 { ! subclass( X, cross_product( universal_class, universal_class ) ), !
% 0.72/1.22 subclass( compose( X, inverse( X ) ), identity_relation ), function( X )
% 0.72/1.22 }.
% 0.72/1.22 { ! member( X, universal_class ), ! function( Y ), member( image( Y, X ),
% 0.72/1.22 universal_class ) }.
% 0.72/1.22 { ! disjoint( X, Y ), ! member( Z, X ), ! member( Z, Y ) }.
% 0.72/1.22 { member( skol5( Z, Y ), Y ), disjoint( X, Y ) }.
% 0.72/1.22 { member( skol5( X, Y ), X ), disjoint( X, Y ) }.
% 0.72/1.22 { X = null_class, member( skol6( Y ), universal_class ) }.
% 0.72/1.22 { X = null_class, member( skol6( X ), X ) }.
% 0.72/1.22 { X = null_class, disjoint( skol6( X ), X ) }.
% 0.72/1.22 { apply( X, Y ) = sum_class( image( X, singleton( Y ) ) ) }.
% 0.72/1.22 { function( skol7 ) }.
% 0.72/1.22 { ! member( X, universal_class ), X = null_class, member( apply( skol7, X )
% 0.72/1.22 , X ) }.
% 0.72/1.22 { member( skol8, skol10 ) }.
% 0.72/1.22 { member( skol9, skol10 ) }.
% 0.72/1.22 { ! subclass( unordered_pair( skol8, skol9 ), skol10 ) }.
% 0.72/1.22
% 0.72/1.22 percentage equality = 0.143590, percentage horn = 0.885417
% 0.72/1.22 This is a problem with some equality
% 0.72/1.22
% 0.72/1.22
% 0.72/1.22
% 0.72/1.22 Options Used:
% 0.72/1.22
% 0.72/1.22 useres = 1
% 0.72/1.22 useparamod = 1
% 0.72/1.22 useeqrefl = 1
% 0.72/1.22 useeqfact = 1
% 0.72/1.22 usefactor = 1
% 0.72/1.22 usesimpsplitting = 0
% 0.72/1.22 usesimpdemod = 5
% 0.72/1.22 usesimpres = 3
% 0.72/1.22
% 0.72/1.22 resimpinuse = 1000
% 0.72/1.22 resimpclauses = 20000
% 0.72/1.22 substype = eqrewr
% 0.72/1.22 backwardsubs = 1
% 0.72/1.22 selectoldest = 5
% 0.72/1.22
% 0.72/1.22 litorderings [0] = split
% 0.72/1.22 litorderings [1] = extend the termordering, first sorting on arguments
% 13.69/14.06
% 13.69/14.06 termordering = kbo
% 13.69/14.06
% 13.69/14.06 litapriori = 0
% 13.69/14.06 termapriori = 1
% 13.69/14.06 litaposteriori = 0
% 13.69/14.06 termaposteriori = 0
% 13.69/14.06 demodaposteriori = 0
% 13.69/14.06 ordereqreflfact = 0
% 13.69/14.06
% 13.69/14.06 litselect = negord
% 13.69/14.06
% 13.69/14.06 maxweight = 15
% 13.69/14.06 maxdepth = 30000
% 13.69/14.06 maxlength = 115
% 13.69/14.06 maxnrvars = 195
% 13.69/14.06 excuselevel = 1
% 13.69/14.06 increasemaxweight = 1
% 13.69/14.06
% 13.69/14.06 maxselected = 10000000
% 13.69/14.06 maxnrclauses = 10000000
% 13.69/14.06
% 13.69/14.06 showgenerated = 0
% 13.69/14.06 showkept = 0
% 13.69/14.06 showselected = 0
% 13.69/14.06 showdeleted = 0
% 13.69/14.06 showresimp = 1
% 13.69/14.06 showstatus = 2000
% 13.69/14.06
% 13.69/14.06 prologoutput = 0
% 13.69/14.06 nrgoals = 5000000
% 13.69/14.06 totalproof = 1
% 13.69/14.06
% 13.69/14.06 Symbols occurring in the translation:
% 13.69/14.06
% 13.69/14.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 13.69/14.06 . [1, 2] (w:1, o:46, a:1, s:1, b:0),
% 13.69/14.06 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 13.69/14.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 13.69/14.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 13.69/14.06 subclass [37, 2] (w:1, o:70, a:1, s:1, b:0),
% 13.69/14.06 member [39, 2] (w:1, o:71, a:1, s:1, b:0),
% 13.69/14.06 universal_class [40, 0] (w:1, o:12, a:1, s:1, b:0),
% 13.69/14.06 unordered_pair [41, 2] (w:1, o:72, a:1, s:1, b:0),
% 13.69/14.06 singleton [42, 1] (w:1, o:32, a:1, s:1, b:0),
% 13.69/14.06 ordered_pair [43, 2] (w:1, o:73, a:1, s:1, b:0),
% 13.69/14.06 cross_product [45, 2] (w:1, o:74, a:1, s:1, b:0),
% 13.69/14.06 first [46, 1] (w:1, o:33, a:1, s:1, b:0),
% 13.69/14.06 second [47, 1] (w:1, o:34, a:1, s:1, b:0),
% 13.69/14.06 element_relation [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 13.69/14.06 intersection [50, 2] (w:1, o:76, a:1, s:1, b:0),
% 13.69/14.06 complement [51, 1] (w:1, o:35, a:1, s:1, b:0),
% 13.69/14.06 restrict [53, 3] (w:1, o:85, a:1, s:1, b:0),
% 13.69/14.06 null_class [54, 0] (w:1, o:17, a:1, s:1, b:0),
% 13.69/14.06 domain_of [55, 1] (w:1, o:36, a:1, s:1, b:0),
% 13.69/14.06 rotate [57, 1] (w:1, o:30, a:1, s:1, b:0),
% 13.69/14.06 flip [58, 1] (w:1, o:37, a:1, s:1, b:0),
% 13.69/14.06 union [59, 2] (w:1, o:77, a:1, s:1, b:0),
% 13.69/14.06 successor [60, 1] (w:1, o:38, a:1, s:1, b:0),
% 13.69/14.06 successor_relation [61, 0] (w:1, o:18, a:1, s:1, b:0),
% 13.69/14.06 inverse [62, 1] (w:1, o:39, a:1, s:1, b:0),
% 13.69/14.06 range_of [63, 1] (w:1, o:31, a:1, s:1, b:0),
% 13.69/14.06 image [64, 2] (w:1, o:75, a:1, s:1, b:0),
% 13.69/14.06 inductive [65, 1] (w:1, o:40, a:1, s:1, b:0),
% 13.69/14.06 sum_class [66, 1] (w:1, o:41, a:1, s:1, b:0),
% 13.69/14.06 power_class [67, 1] (w:1, o:42, a:1, s:1, b:0),
% 13.69/14.06 compose [69, 2] (w:1, o:78, a:1, s:1, b:0),
% 13.69/14.06 identity_relation [70, 0] (w:1, o:19, a:1, s:1, b:0),
% 13.69/14.06 function [72, 1] (w:1, o:43, a:1, s:1, b:0),
% 13.69/14.06 disjoint [73, 2] (w:1, o:79, a:1, s:1, b:0),
% 13.69/14.06 apply [74, 2] (w:1, o:80, a:1, s:1, b:0),
% 13.69/14.06 alpha1 [75, 3] (w:1, o:86, a:1, s:1, b:1),
% 13.69/14.06 alpha2 [76, 2] (w:1, o:81, a:1, s:1, b:1),
% 13.69/14.06 skol1 [77, 2] (w:1, o:82, a:1, s:1, b:1),
% 13.69/14.06 skol2 [78, 0] (w:1, o:21, a:1, s:1, b:1),
% 13.69/14.06 skol3 [79, 2] (w:1, o:83, a:1, s:1, b:1),
% 13.69/14.06 skol4 [80, 1] (w:1, o:44, a:1, s:1, b:1),
% 13.69/14.06 skol5 [81, 2] (w:1, o:84, a:1, s:1, b:1),
% 13.69/14.06 skol6 [82, 1] (w:1, o:45, a:1, s:1, b:1),
% 13.69/14.06 skol7 [83, 0] (w:1, o:22, a:1, s:1, b:1),
% 13.69/14.06 skol8 [84, 0] (w:1, o:23, a:1, s:1, b:1),
% 13.69/14.06 skol9 [85, 0] (w:1, o:24, a:1, s:1, b:1),
% 13.69/14.06 skol10 [86, 0] (w:1, o:20, a:1, s:1, b:1).
% 13.69/14.06
% 13.69/14.06
% 13.69/14.06 Starting Search:
% 13.69/14.06
% 13.69/14.06 *** allocated 15000 integers for clauses
% 13.69/14.06 *** allocated 22500 integers for clauses
% 13.69/14.06 *** allocated 33750 integers for clauses
% 13.69/14.06 *** allocated 50625 integers for clauses
% 13.69/14.06 *** allocated 15000 integers for termspace/termends
% 13.69/14.06 Resimplifying inuse:
% 13.69/14.06 Done
% 13.69/14.06
% 13.69/14.06 *** allocated 75937 integers for clauses
% 13.69/14.06 *** allocated 22500 integers for termspace/termends
% 13.69/14.06 *** allocated 33750 integers for termspace/termends
% 13.69/14.06 *** allocated 113905 integers for clauses
% 13.69/14.06
% 13.69/14.06 Intermediate Status:
% 13.69/14.06 Generated: 4128
% 13.69/14.06 Kept: 2006
% 13.69/14.06 Inuse: 125
% 13.69/14.06 Deleted: 2
% 13.69/14.06 Deletedinuse: 1
% 13.69/14.06
% 13.69/14.06 Resimplifying inuse:
% 13.69/14.06 Done
% 13.69/14.06
% 13.69/14.06 *** allocated 170857 integers for clauses
% 13.69/14.06 *** allocated 50625 integers for termspace/termends
% 13.69/14.06 Resimplifying inuse:
% 13.69/14.06 Done
% 13.69/14.06
% 13.69/14.06 *** allocated 75937 integers for termspace/termends
% 13.69/14.06 *** allocated 256285 integers for clauses
% 13.69/14.06
% 13.69/14.06 Intermediate Status:
% 13.69/14.06 Generated: 8122
% 13.69/14.06 Kept: 4022
% 13.69/14.06 Inuse: 205
% 13.69/14.06 Deleted: 14
% 13.69/14.06 Deletedinuse: 6
% 13.69/14.06
% 13.69/14.06 Resimplifying inuse:
% 13.69/14.06 Done
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 *** allocated 113905 integers for termspace/termends
% 18.54/18.91 *** allocated 384427 integers for clauses
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 11391
% 18.54/18.91 Kept: 6033
% 18.54/18.91 Inuse: 268
% 18.54/18.91 Deleted: 18
% 18.54/18.91 Deletedinuse: 9
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 14591
% 18.54/18.91 Kept: 8060
% 18.54/18.91 Inuse: 328
% 18.54/18.91 Deleted: 26
% 18.54/18.91 Deletedinuse: 13
% 18.54/18.91
% 18.54/18.91 *** allocated 576640 integers for clauses
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 *** allocated 170857 integers for termspace/termends
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 19514
% 18.54/18.91 Kept: 10083
% 18.54/18.91 Inuse: 378
% 18.54/18.91 Deleted: 30
% 18.54/18.91 Deletedinuse: 17
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 *** allocated 864960 integers for clauses
% 18.54/18.91 *** allocated 256285 integers for termspace/termends
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 27295
% 18.54/18.91 Kept: 13172
% 18.54/18.91 Inuse: 398
% 18.54/18.91 Deleted: 115
% 18.54/18.91 Deletedinuse: 97
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 31856
% 18.54/18.91 Kept: 15274
% 18.54/18.91 Inuse: 427
% 18.54/18.91 Deleted: 116
% 18.54/18.91 Deletedinuse: 97
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 36149
% 18.54/18.91 Kept: 17281
% 18.54/18.91 Inuse: 480
% 18.54/18.91 Deleted: 122
% 18.54/18.91 Deletedinuse: 101
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 *** allocated 1297440 integers for clauses
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 40089
% 18.54/18.91 Kept: 19329
% 18.54/18.91 Inuse: 523
% 18.54/18.91 Deleted: 122
% 18.54/18.91 Deletedinuse: 101
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 *** allocated 384427 integers for termspace/termends
% 18.54/18.91 Resimplifying clauses:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 47927
% 18.54/18.91 Kept: 21656
% 18.54/18.91 Inuse: 556
% 18.54/18.91 Deleted: 2074
% 18.54/18.91 Deletedinuse: 101
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 55536
% 18.54/18.91 Kept: 23661
% 18.54/18.91 Inuse: 587
% 18.54/18.91 Deleted: 2081
% 18.54/18.91 Deletedinuse: 103
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 60351
% 18.54/18.91 Kept: 25672
% 18.54/18.91 Inuse: 627
% 18.54/18.91 Deleted: 2081
% 18.54/18.91 Deletedinuse: 103
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 65084
% 18.54/18.91 Kept: 27728
% 18.54/18.91 Inuse: 660
% 18.54/18.91 Deleted: 2081
% 18.54/18.91 Deletedinuse: 103
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 *** allocated 1946160 integers for clauses
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 *** allocated 576640 integers for termspace/termends
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 70884
% 18.54/18.91 Kept: 29767
% 18.54/18.91 Inuse: 711
% 18.54/18.91 Deleted: 2081
% 18.54/18.91 Deletedinuse: 103
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 76834
% 18.54/18.91 Kept: 31772
% 18.54/18.91 Inuse: 763
% 18.54/18.91 Deleted: 2086
% 18.54/18.91 Deletedinuse: 104
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 84295
% 18.54/18.91 Kept: 33808
% 18.54/18.91 Inuse: 812
% 18.54/18.91 Deleted: 2087
% 18.54/18.91 Deletedinuse: 104
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 91847
% 18.54/18.91 Kept: 35833
% 18.54/18.91 Inuse: 851
% 18.54/18.91 Deleted: 2088
% 18.54/18.91 Deletedinuse: 104
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 99745
% 18.54/18.91 Kept: 37939
% 18.54/18.91 Inuse: 905
% 18.54/18.91 Deleted: 2088
% 18.54/18.91 Deletedinuse: 104
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 109242
% 18.54/18.91 Kept: 39976
% 18.54/18.91 Inuse: 944
% 18.54/18.91 Deleted: 2088
% 18.54/18.91 Deletedinuse: 104
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 Resimplifying clauses:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 115547
% 18.54/18.91 Kept: 42028
% 18.54/18.91 Inuse: 994
% 18.54/18.91 Deleted: 2678
% 18.54/18.91 Deletedinuse: 104
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 *** allocated 864960 integers for termspace/termends
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 124659
% 18.54/18.91 Kept: 44044
% 18.54/18.91 Inuse: 1037
% 18.54/18.91 Deleted: 2679
% 18.54/18.91 Deletedinuse: 105
% 18.54/18.91
% 18.54/18.91 *** allocated 2919240 integers for clauses
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 132491
% 18.54/18.91 Kept: 47964
% 18.54/18.91 Inuse: 1058
% 18.54/18.91 Deleted: 2699
% 18.54/18.91 Deletedinuse: 123
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 138271
% 18.54/18.91 Kept: 51017
% 18.54/18.91 Inuse: 1063
% 18.54/18.91 Deleted: 2699
% 18.54/18.91 Deletedinuse: 123
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 144143
% 18.54/18.91 Kept: 54415
% 18.54/18.91 Inuse: 1068
% 18.54/18.91 Deleted: 2699
% 18.54/18.91 Deletedinuse: 123
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 150037
% 18.54/18.91 Kept: 57777
% 18.54/18.91 Inuse: 1073
% 18.54/18.91 Deleted: 2699
% 18.54/18.91 Deletedinuse: 123
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 *** allocated 1297440 integers for termspace/termends
% 18.54/18.91
% 18.54/18.91 Intermediate Status:
% 18.54/18.91 Generated: 161792
% 18.54/18.91 Kept: 65223
% 18.54/18.91 Inuse: 1078
% 18.54/18.91 Deleted: 2699
% 18.54/18.91 Deletedinuse: 123
% 18.54/18.91
% 18.54/18.91 Resimplifying inuse:
% 18.54/18.91 Done
% 18.54/18.91
% 18.54/18.91 Resimplifying clauses:
% 18.54/18.91
% 18.54/18.91 Bliksems!, er is een bewijs:
% 18.54/18.91 % SZS status Theorem
% 18.54/18.91 % SZS output start Refutation
% 18.54/18.91
% 18.54/18.91 (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X ), member( Z
% 18.54/18.91 , Y ) }.
% 18.54/18.91 (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ), subclass( X, Y )
% 18.54/18.91 }.
% 18.54/18.91 (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subclass( X, Y )
% 18.54/18.91 }.
% 18.54/18.91 (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subclass( X, Y ) }.
% 18.54/18.91 (5) {G0,W9,D2,L3,V2,M3} I { ! subclass( X, Y ), ! subclass( Y, X ), X = Y
% 18.54/18.91 }.
% 18.54/18.91 (7) {G0,W9,D3,L2,V3,M2} I { ! member( X, unordered_pair( Y, Z ) ), alpha1(
% 18.54/18.91 X, Y, Z ) }.
% 18.54/18.91 (9) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), X = Y, X = Z }.
% 18.54/18.91 (92) {G0,W3,D2,L1,V0,M1} I { member( skol8, skol10 ) }.
% 18.54/18.91 (93) {G0,W3,D2,L1,V0,M1} I { member( skol9, skol10 ) }.
% 18.54/18.91 (94) {G0,W5,D3,L1,V0,M1} I { ! subclass( unordered_pair( skol8, skol9 ),
% 18.54/18.91 skol10 ) }.
% 18.54/18.91 (95) {G1,W3,D2,L1,V1,M1} Q(4) { subclass( X, X ) }.
% 18.54/18.91 (116) {G1,W6,D2,L2,V1,M2} R(93,0) { ! subclass( skol10, X ), member( skol9
% 18.54/18.91 , X ) }.
% 18.54/18.91 (117) {G1,W6,D2,L2,V1,M2} R(92,0) { ! subclass( skol10, X ), member( skol8
% 18.54/18.91 , X ) }.
% 18.54/18.91 (130) {G1,W9,D4,L1,V0,M1} R(94,2) { member( skol1( unordered_pair( skol8,
% 18.54/18.91 skol9 ), skol10 ), unordered_pair( skol8, skol9 ) ) }.
% 18.54/18.91 (131) {G1,W5,D3,L1,V1,M1} R(94,1) { ! member( skol1( X, skol10 ), skol10 )
% 18.54/18.91 }.
% 18.54/18.91 (139) {G1,W6,D2,L2,V2,M2} R(5,4);r(4) { X = Y, ! Y = X }.
% 18.54/18.91 (202) {G2,W8,D3,L2,V2,M2} P(139,131) { ! member( Y, skol10 ), ! Y = skol1(
% 18.54/18.91 X, skol10 ) }.
% 18.54/18.91 (285) {G1,W11,D3,L3,V3,M3} R(9,7) { X = Y, X = Z, ! member( X,
% 18.54/18.91 unordered_pair( Y, Z ) ) }.
% 18.54/18.91 (32387) {G3,W5,D3,L1,V1,M1} R(202,117);r(95) { ! skol1( X, skol10 ) ==>
% 18.54/18.91 skol8 }.
% 18.54/18.91 (32388) {G3,W5,D3,L1,V1,M1} R(202,116);r(95) { ! skol1( X, skol10 ) ==>
% 18.54/18.91 skol9 }.
% 18.54/18.91 (58200) {G2,W14,D4,L2,V0,M2} R(285,130) { skol1( unordered_pair( skol8,
% 18.54/18.91 skol9 ), skol10 ) ==> skol8, skol1( unordered_pair( skol8, skol9 ),
% 18.54/18.91 skol10 ) ==> skol9 }.
% 18.54/18.91 (65223) {G4,W0,D0,L0,V0,M0} S(58200);r(32387);r(32388) { }.
% 18.54/18.91
% 18.54/18.91
% 18.54/18.91 % SZS output end Refutation
% 18.54/18.91 found a proof!
% 18.54/18.91
% 18.54/18.91
% 18.54/18.91 Unprocessed initial clauses:
% 18.54/18.91
% 18.54/18.91 (65225) {G0,W9,D2,L3,V3,M3} { ! subclass( X, Y ), ! member( Z, X ), member
% 18.54/18.91 ( Z, Y ) }.
% 18.54/18.91 (65226) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ), subclass( X, Y
% 18.54/18.91 ) }.
% 18.54/18.91 (65227) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subclass( X, Y )
% 18.54/18.91 }.
% 18.54/18.91 (65228) {G0,W3,D2,L1,V1,M1} { subclass( X, universal_class ) }.
% 18.54/18.91 (65229) {G0,W6,D2,L2,V2,M2} { ! X = Y, subclass( X, Y ) }.
% 18.54/18.91 (65230) {G0,W6,D2,L2,V2,M2} { ! X = Y, subclass( Y, X ) }.
% 18.54/18.91 (65231) {G0,W9,D2,L3,V2,M3} { ! subclass( X, Y ), ! subclass( Y, X ), X =
% 18.54/18.91 Y }.
% 18.54/18.91 (65232) {G0,W8,D3,L2,V3,M2} { ! member( X, unordered_pair( Y, Z ) ),
% 18.54/18.91 member( X, universal_class ) }.
% 18.54/18.91 (65233) {G0,W9,D3,L2,V3,M2} { ! member( X, unordered_pair( Y, Z ) ),
% 18.54/18.91 alpha1( X, Y, Z ) }.
% 18.54/18.91 (65234) {G0,W12,D3,L3,V3,M3} { ! member( X, universal_class ), ! alpha1( X
% 18.54/18.91 , Y, Z ), member( X, unordered_pair( Y, Z ) ) }.
% 18.54/18.91 (65235) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), X = Y, X = Z }.
% 18.54/18.91 (65236) {G0,W7,D2,L2,V3,M2} { ! X = Y, alpha1( X, Y, Z ) }.
% 18.54/18.91 (65237) {G0,W7,D2,L2,V3,M2} { ! X = Z, alpha1( X, Y, Z ) }.
% 18.54/18.91 (65238) {G0,W5,D3,L1,V2,M1} { member( unordered_pair( X, Y ),
% 18.54/18.91 universal_class ) }.
% 18.54/18.91 (65239) {G0,W6,D3,L1,V1,M1} { singleton( X ) = unordered_pair( X, X ) }.
% 18.54/18.91 (65240) {G0,W11,D5,L1,V2,M1} { ordered_pair( X, Y ) = unordered_pair(
% 18.54/18.91 singleton( X ), unordered_pair( X, singleton( Y ) ) ) }.
% 18.54/18.91 (65241) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( X, Y ),
% 18.54/18.91 cross_product( Z, T ) ), member( X, Z ) }.
% 18.54/18.91 (65242) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( X, Y ),
% 18.54/18.91 cross_product( Z, T ) ), member( Y, T ) }.
% 18.54/18.91 (65243) {G0,W13,D3,L3,V4,M3} { ! member( X, Z ), ! member( Y, T ), member
% 18.54/18.91 ( ordered_pair( X, Y ), cross_product( Z, T ) ) }.
% 18.54/18.91 (65244) {G0,W12,D4,L3,V2,M3} { ! member( X, universal_class ), ! member( Y
% 18.54/18.91 , universal_class ), first( ordered_pair( X, Y ) ) = X }.
% 18.54/18.91 (65245) {G0,W12,D4,L3,V2,M3} { ! member( X, universal_class ), ! member( Y
% 18.54/18.91 , universal_class ), second( ordered_pair( X, Y ) ) = Y }.
% 18.54/18.91 (65246) {G0,W12,D4,L2,V3,M2} { ! member( X, cross_product( Y, Z ) ), X =
% 18.54/18.91 ordered_pair( first( X ), second( X ) ) }.
% 18.54/18.91 (65247) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 18.54/18.91 element_relation ), member( Y, universal_class ) }.
% 18.54/18.91 (65248) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 18.54/18.91 element_relation ), member( X, Y ) }.
% 18.54/18.91 (65249) {G0,W11,D3,L3,V2,M3} { ! member( Y, universal_class ), ! member( X
% 18.54/18.91 , Y ), member( ordered_pair( X, Y ), element_relation ) }.
% 18.54/18.91 (65250) {G0,W5,D3,L1,V0,M1} { subclass( element_relation, cross_product(
% 18.54/18.91 universal_class, universal_class ) ) }.
% 18.54/18.91 (65251) {G0,W8,D3,L2,V3,M2} { ! member( Z, intersection( X, Y ) ), member
% 18.54/18.91 ( Z, X ) }.
% 18.54/18.91 (65252) {G0,W8,D3,L2,V3,M2} { ! member( Z, intersection( X, Y ) ), member
% 18.54/18.91 ( Z, Y ) }.
% 18.54/18.91 (65253) {G0,W11,D3,L3,V3,M3} { ! member( Z, X ), ! member( Z, Y ), member
% 18.54/18.91 ( Z, intersection( X, Y ) ) }.
% 18.54/18.91 (65254) {G0,W7,D3,L2,V2,M2} { ! member( Y, complement( X ) ), member( Y,
% 18.54/18.91 universal_class ) }.
% 18.54/18.91 (65255) {G0,W7,D3,L2,V2,M2} { ! member( Y, complement( X ) ), ! member( Y
% 18.54/18.91 , X ) }.
% 18.54/18.91 (65256) {G0,W10,D3,L3,V2,M3} { ! member( Y, universal_class ), member( Y,
% 18.54/18.91 X ), member( Y, complement( X ) ) }.
% 18.54/18.91 (65257) {G0,W10,D4,L1,V3,M1} { restrict( Y, X, Z ) = intersection( Y,
% 18.54/18.91 cross_product( X, Z ) ) }.
% 18.54/18.91 (65258) {G0,W3,D2,L1,V1,M1} { ! member( X, null_class ) }.
% 18.54/18.91 (65259) {G0,W7,D3,L2,V2,M2} { ! member( Y, domain_of( X ) ), member( Y,
% 18.54/18.91 universal_class ) }.
% 18.54/18.91 (65260) {G0,W11,D4,L2,V2,M2} { ! member( Y, domain_of( X ) ), ! restrict(
% 18.54/18.91 X, singleton( Y ), universal_class ) = null_class }.
% 18.54/18.91 (65261) {G0,W14,D4,L3,V2,M3} { ! member( Y, universal_class ), restrict( X
% 18.54/18.91 , singleton( Y ), universal_class ) = null_class, member( Y, domain_of( X
% 18.54/18.91 ) ) }.
% 18.54/18.91 (65262) {G0,W19,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( Y, Z
% 18.54/18.91 ), T ), rotate( X ) ), member( ordered_pair( ordered_pair( Y, Z ), T ),
% 18.54/18.91 cross_product( cross_product( universal_class, universal_class ),
% 18.54/18.91 universal_class ) ) }.
% 18.54/18.91 (65263) {G0,W15,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( Y, Z
% 18.54/18.91 ), T ), rotate( X ) ), member( ordered_pair( ordered_pair( Z, T ), Y ),
% 18.54/18.91 X ) }.
% 18.54/18.91 (65264) {G0,W26,D4,L3,V4,M3} { ! member( ordered_pair( ordered_pair( Y, Z
% 18.54/18.91 ), T ), cross_product( cross_product( universal_class, universal_class )
% 18.54/18.91 , universal_class ) ), ! member( ordered_pair( ordered_pair( Z, T ), Y )
% 18.54/18.91 , X ), member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ) }.
% 18.54/18.91 (65265) {G0,W8,D4,L1,V1,M1} { subclass( rotate( X ), cross_product(
% 18.54/18.91 cross_product( universal_class, universal_class ), universal_class ) )
% 18.54/18.91 }.
% 18.54/18.91 (65266) {G0,W19,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( X, Y
% 18.54/18.91 ), Z ), flip( T ) ), member( ordered_pair( ordered_pair( X, Y ), Z ),
% 18.54/18.91 cross_product( cross_product( universal_class, universal_class ),
% 18.54/18.91 universal_class ) ) }.
% 18.54/18.91 (65267) {G0,W15,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( X, Y
% 18.54/18.91 ), Z ), flip( T ) ), member( ordered_pair( ordered_pair( Y, X ), Z ), T
% 18.54/18.91 ) }.
% 18.54/18.91 (65268) {G0,W26,D4,L3,V4,M3} { ! member( ordered_pair( ordered_pair( X, Y
% 18.54/18.91 ), Z ), cross_product( cross_product( universal_class, universal_class )
% 18.54/18.91 , universal_class ) ), ! member( ordered_pair( ordered_pair( Y, X ), Z )
% 18.54/18.91 , T ), member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ) }.
% 18.54/18.91 (65269) {G0,W8,D4,L1,V1,M1} { subclass( flip( X ), cross_product(
% 18.54/18.91 cross_product( universal_class, universal_class ), universal_class ) )
% 18.54/18.91 }.
% 18.54/18.91 (65270) {G0,W11,D3,L3,V3,M3} { ! member( Z, union( X, Y ) ), member( Z, X
% 18.54/18.91 ), member( Z, Y ) }.
% 18.54/18.91 (65271) {G0,W8,D3,L2,V3,M2} { ! member( Z, X ), member( Z, union( X, Y ) )
% 18.54/18.91 }.
% 18.54/18.91 (65272) {G0,W8,D3,L2,V3,M2} { ! member( Z, Y ), member( Z, union( X, Y ) )
% 18.54/18.91 }.
% 18.54/18.91 (65273) {G0,W7,D4,L1,V1,M1} { successor( X ) = union( X, singleton( X ) )
% 18.54/18.91 }.
% 18.54/18.91 (65274) {G0,W5,D3,L1,V0,M1} { subclass( successor_relation, cross_product
% 18.54/18.91 ( universal_class, universal_class ) ) }.
% 18.54/18.91 (65275) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 18.54/18.91 successor_relation ), member( X, universal_class ) }.
% 18.54/18.91 (65276) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 18.54/18.91 successor_relation ), alpha2( X, Y ) }.
% 18.54/18.91 (65277) {G0,W11,D3,L3,V2,M3} { ! member( X, universal_class ), ! alpha2( X
% 18.54/18.91 , Y ), member( ordered_pair( X, Y ), successor_relation ) }.
% 18.54/18.91 (65278) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), member( Y, universal_class
% 18.54/18.91 ) }.
% 18.54/18.91 (65279) {G0,W7,D3,L2,V2,M2} { ! alpha2( X, Y ), successor( X ) = Y }.
% 18.54/18.91 (65280) {G0,W10,D3,L3,V2,M3} { ! member( Y, universal_class ), ! successor
% 18.54/18.91 ( X ) = Y, alpha2( X, Y ) }.
% 18.54/18.91 (65281) {G0,W8,D5,L1,V1,M1} { inverse( X ) = domain_of( flip(
% 18.54/18.91 cross_product( X, universal_class ) ) ) }.
% 18.54/18.91 (65282) {G0,W6,D4,L1,V1,M1} { range_of( X ) = domain_of( inverse( X ) )
% 18.54/18.91 }.
% 18.54/18.91 (65283) {G0,W9,D4,L1,V2,M1} { image( Y, X ) = range_of( restrict( Y, X,
% 18.54/18.91 universal_class ) ) }.
% 18.54/18.91 (65284) {G0,W5,D2,L2,V1,M2} { ! inductive( X ), member( null_class, X )
% 18.54/18.91 }.
% 18.54/18.91 (65285) {G0,W7,D3,L2,V1,M2} { ! inductive( X ), subclass( image(
% 18.54/18.91 successor_relation, X ), X ) }.
% 18.54/18.91 (65286) {G0,W10,D3,L3,V1,M3} { ! member( null_class, X ), ! subclass(
% 18.54/18.91 image( successor_relation, X ), X ), inductive( X ) }.
% 18.54/18.91 (65287) {G0,W3,D2,L1,V0,M1} { member( skol2, universal_class ) }.
% 18.54/18.91 (65288) {G0,W2,D2,L1,V0,M1} { inductive( skol2 ) }.
% 18.54/18.91 (65289) {G0,W5,D2,L2,V1,M2} { ! inductive( X ), subclass( skol2, X ) }.
% 18.54/18.91 (65290) {G0,W9,D3,L2,V3,M2} { ! member( X, sum_class( Y ) ), member( skol3
% 18.54/18.91 ( Z, Y ), Y ) }.
% 18.54/18.91 (65291) {G0,W9,D3,L2,V2,M2} { ! member( X, sum_class( Y ) ), member( X,
% 18.54/18.91 skol3( X, Y ) ) }.
% 18.54/18.91 (65292) {G0,W10,D3,L3,V3,M3} { ! member( X, Z ), ! member( Z, Y ), member
% 18.54/18.91 ( X, sum_class( Y ) ) }.
% 18.54/18.91 (65293) {G0,W7,D3,L2,V1,M2} { ! member( X, universal_class ), member(
% 18.54/18.91 sum_class( X ), universal_class ) }.
% 18.54/18.91 (65294) {G0,W7,D3,L2,V2,M2} { ! member( X, power_class( Y ) ), member( X,
% 18.54/18.91 universal_class ) }.
% 18.54/18.91 (65295) {G0,W7,D3,L2,V2,M2} { ! member( X, power_class( Y ) ), subclass( X
% 18.54/18.91 , Y ) }.
% 18.54/18.91 (65296) {G0,W10,D3,L3,V2,M3} { ! member( X, universal_class ), ! subclass
% 18.54/18.91 ( X, Y ), member( X, power_class( Y ) ) }.
% 18.54/18.91 (65297) {G0,W7,D3,L2,V1,M2} { ! member( X, universal_class ), member(
% 18.54/18.91 power_class( X ), universal_class ) }.
% 18.54/18.91 (65298) {G0,W7,D3,L1,V2,M1} { subclass( compose( Y, X ), cross_product(
% 18.54/18.91 universal_class, universal_class ) ) }.
% 18.54/18.91 (65299) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( Z, T ), compose( Y
% 18.54/18.91 , X ) ), member( Z, universal_class ) }.
% 18.54/18.91 (65300) {G0,W15,D5,L2,V4,M2} { ! member( ordered_pair( Z, T ), compose( Y
% 18.54/18.91 , X ) ), member( T, image( Y, image( X, singleton( Z ) ) ) ) }.
% 18.54/18.91 (65301) {G0,W18,D5,L3,V4,M3} { ! member( Z, universal_class ), ! member( T
% 18.54/18.91 , image( Y, image( X, singleton( Z ) ) ) ), member( ordered_pair( Z, T )
% 18.54/18.91 , compose( Y, X ) ) }.
% 18.54/18.91 (65302) {G0,W7,D3,L2,V2,M2} { ! member( X, identity_relation ), member(
% 18.54/18.91 skol4( Y ), universal_class ) }.
% 18.54/18.91 (65303) {G0,W10,D4,L2,V1,M2} { ! member( X, identity_relation ), X =
% 18.54/18.91 ordered_pair( skol4( X ), skol4( X ) ) }.
% 18.54/18.91 (65304) {G0,W11,D3,L3,V2,M3} { ! member( Y, universal_class ), ! X =
% 18.54/18.91 ordered_pair( Y, Y ), member( X, identity_relation ) }.
% 18.54/18.91 (65305) {G0,W7,D3,L2,V1,M2} { ! function( X ), subclass( X, cross_product
% 18.54/18.91 ( universal_class, universal_class ) ) }.
% 18.54/18.91 (65306) {G0,W8,D4,L2,V1,M2} { ! function( X ), subclass( compose( X,
% 18.54/18.91 inverse( X ) ), identity_relation ) }.
% 18.54/18.91 (65307) {G0,W13,D4,L3,V1,M3} { ! subclass( X, cross_product(
% 18.54/18.91 universal_class, universal_class ) ), ! subclass( compose( X, inverse( X
% 18.54/18.91 ) ), identity_relation ), function( X ) }.
% 18.54/18.91 (65308) {G0,W10,D3,L3,V2,M3} { ! member( X, universal_class ), ! function
% 18.54/18.91 ( Y ), member( image( Y, X ), universal_class ) }.
% 18.54/18.91 (65309) {G0,W9,D2,L3,V3,M3} { ! disjoint( X, Y ), ! member( Z, X ), !
% 18.54/18.91 member( Z, Y ) }.
% 18.54/18.91 (65310) {G0,W8,D3,L2,V3,M2} { member( skol5( Z, Y ), Y ), disjoint( X, Y )
% 18.54/18.91 }.
% 18.54/18.91 (65311) {G0,W8,D3,L2,V2,M2} { member( skol5( X, Y ), X ), disjoint( X, Y )
% 18.54/18.91 }.
% 18.54/18.91 (65312) {G0,W7,D3,L2,V2,M2} { X = null_class, member( skol6( Y ),
% 18.54/18.91 universal_class ) }.
% 18.54/18.91 (65313) {G0,W7,D3,L2,V1,M2} { X = null_class, member( skol6( X ), X ) }.
% 18.54/18.91 (65314) {G0,W7,D3,L2,V1,M2} { X = null_class, disjoint( skol6( X ), X )
% 18.54/18.91 }.
% 18.54/18.91 (65315) {G0,W9,D5,L1,V2,M1} { apply( X, Y ) = sum_class( image( X,
% 18.54/18.91 singleton( Y ) ) ) }.
% 18.54/18.91 (65316) {G0,W2,D2,L1,V0,M1} { function( skol7 ) }.
% 18.54/18.91 (65317) {G0,W11,D3,L3,V1,M3} { ! member( X, universal_class ), X =
% 18.54/18.91 null_class, member( apply( skol7, X ), X ) }.
% 18.54/18.91 (65318) {G0,W3,D2,L1,V0,M1} { member( skol8, skol10 ) }.
% 18.54/18.91 (65319) {G0,W3,D2,L1,V0,M1} { member( skol9, skol10 ) }.
% 18.54/18.91 (65320) {G0,W5,D3,L1,V0,M1} { ! subclass( unordered_pair( skol8, skol9 ),
% 18.54/18.91 skol10 ) }.
% 18.54/18.91
% 18.54/18.91
% 18.54/18.91 Total Proof:
% 18.54/18.91
% 18.54/18.91 subsumption: (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X
% 18.54/18.91 ), member( Z, Y ) }.
% 18.54/18.91 parent0: (65225) {G0,W9,D2,L3,V3,M3} { ! subclass( X, Y ), ! member( Z, X
% 18.54/18.91 ), member( Z, Y ) }.
% 18.54/18.91 substitution0:
% 18.54/18.91 X := X
% 18.54/18.91 Y := Y
% 18.54/18.91 Z := Z
% 18.54/18.91 end
% 18.54/18.91 permutation0:
% 18.54/18.91 0 ==> 0
% 18.54/18.91 1 ==> 1
% 18.54/18.91 2 ==> 2
% 18.54/18.91 end
% 18.54/18.91
% 18.54/18.91 subsumption: (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ),
% 18.54/18.91 subclass( X, Y ) }.
% 18.54/18.91 parent0: (65226) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ),
% 18.54/18.91 subclass( X, Y ) }.
% 18.54/18.91 substitution0:
% 18.54/18.91 X := X
% 18.54/18.91 Y := Y
% 18.54/18.91 Z := Z
% 18.54/18.91 end
% 18.54/18.91 permutation0:
% 18.54/18.91 0 ==> 0
% 18.54/18.91 1 ==> 1
% 18.54/18.91 end
% 18.54/18.91
% 18.54/18.91 subsumption: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ),
% 18.54/18.91 subclass( X, Y ) }.
% 18.54/18.91 parent0: (65227) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ),
% 18.54/18.91 subclass( X, Y ) }.
% 18.54/18.91 substitution0:
% 18.54/18.91 X := X
% 18.54/18.91 Y := Y
% 18.54/18.91 end
% 18.54/18.91 permutation0:
% 18.54/18.91 0 ==> 0
% 18.54/18.91 1 ==> 1
% 18.54/18.91 end
% 18.54/18.91
% 18.54/18.91 subsumption: (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subclass( X, Y ) }.
% 18.54/18.91 parent0: (65229) {G0,W6,D2,L2,V2,M2} { ! X = Y, subclass( X, Y ) }.
% 18.54/18.91 substitution0:
% 18.54/18.91 X := X
% 18.54/18.91 Y := Y
% 18.54/18.91 end
% 18.54/18.91 permutation0:
% 18.54/18.91 0 ==> 0
% 18.54/18.91 1 ==> 1
% 18.54/18.91 end
% 18.54/18.91
% 18.54/18.91 subsumption: (5) {G0,W9,D2,L3,V2,M3} I { ! subclass( X, Y ), ! subclass( Y
% 18.54/18.91 , X ), X = Y }.
% 18.54/18.91 parent0: (65231) {G0,W9,D2,L3,V2,M3} { ! subclass( X, Y ), ! subclass( Y,
% 18.54/18.91 X ), X = Y }.
% 18.54/18.91 substitution0:
% 18.54/18.91 X := X
% 18.54/18.91 Y := Y
% 18.54/18.91 end
% 18.54/18.91 permutation0:
% 18.54/18.91 0 ==> 0
% 18.54/18.91 1 ==> 1
% 18.54/18.91 2 ==> 2
% 18.54/18.91 end
% 18.54/18.91
% 18.54/18.91 subsumption: (7) {G0,W9,D3,L2,V3,M2} I { ! member( X, unordered_pair( Y, Z
% 18.54/18.91 ) ), alpha1( X, Y, Z ) }.
% 18.54/18.91 parent0: (65233) {G0,W9,D3,L2,V3,M2} { ! member( X, unordered_pair( Y, Z )
% 18.54/18.91 ), alpha1( X, Y, Z ) }.
% 18.54/18.91 substitution0:
% 18.54/18.91 X := X
% 18.54/18.91 Y := Y
% 18.54/18.91 Z := Z
% 18.54/18.91 end
% 18.54/18.91 permutation0:
% 18.54/18.91 0 ==> 0
% 18.54/18.91 1 ==> 1
% 18.54/18.91 end
% 18.54/18.91
% 18.54/18.91 subsumption: (9) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), X = Y, X = Z
% 18.54/18.91 }.
% 18.54/18.91 parent0: (65235) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), X = Y, X = Z
% 18.54/18.91 }.
% 18.54/18.91 substitution0:
% 18.54/18.91 X := X
% 18.54/18.91 Y := Y
% 18.54/18.91 Z := Z
% 18.54/18.91 end
% 18.54/18.91 permutation0:
% 18.54/18.91 0 ==> 0
% 18.54/18.91 1 ==> 1
% 18.54/18.91 2 ==> 2
% 18.54/18.91 end
% 18.54/18.91
% 18.54/18.91 subsumption: (92) {G0,W3,D2,L1,V0,M1} I { member( skol8, skol10 ) }.
% 18.54/18.91 parent0: (65318) {G0,W3,D2,L1,V0,M1} { member( skol8, skol10 ) }.
% 18.54/18.91 substitution0:
% 18.54/18.91 end
% 18.54/18.91 permutation0:
% 18.54/18.91 0 ==> 0
% 18.54/18.91 end
% 18.54/18.91
% 18.54/18.91 subsumption: (93) {G0,W3,D2,L1,V0,M1} I { member( skol9, skol10 ) }.
% 18.54/18.91 parent0: (65319) {G0,W3,D2,L1,V0,M1} { member( skol9, skol10 ) }.
% 18.54/18.91 substitution0:
% 18.54/18.91 end
% 18.54/18.91 permutation0:
% 18.54/18.91 0 ==> 0
% 18.54/18.91 end
% 18.54/18.91
% 18.54/18.91 subsumption: (94) {G0,W5,D3,L1,V0,M1} I { ! subclass( unordered_pair( skol8
% 18.54/18.91 , skol9 ), skol10 ) }.
% 18.54/18.91 parent0: (65320) {G0,W5,D3,L1,V0,M1} { ! subclass( unordered_pair( skol8,
% 18.54/18.91 skol9 ), skol10 ) }.
% 18.54/18.91 substitution0:
% 18.54/18.91 end
% 18.54/18.91 permutation0:
% 18.54/18.91 0 ==> 0
% 18.54/18.91 end
% 18.54/18.91
% 18.54/18.91 eqswap: (65465) {G0,W6,D2,L2,V2,M2} { ! Y = X, subclass( X, Y ) }.
% 18.54/18.91 parent0[0]: (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subclass( X, Y ) }.
% 18.54/18.91 substitution0:
% 18.54/18.91 X := X
% 18.54/18.91 Y := Y
% 18.54/18.91 end
% 18.54/18.91
% 18.54/18.91 eqrefl: (65466) {G0,W3,D2,L1,V1,M1} { subclass( X, X ) }.
% 18.54/18.91 parent0[0]: (65465) {G0,W6,D2,L2,V2,M2} { ! Y = X, subclass( X, Y ) }.
% 18.54/18.91 substitution0:
% 18.54/18.91 X := X
% 18.54/18.91 Y := X
% 18.54/18.91 end
% 18.54/18.91
% 18.54/18.91 subsumption: (95) {G1,W3,D2,L1,V1,M1} Q(4) { subclass( X, X ) }.
% 18.54/18.91 parent0: (65466) {G0,W3,D2,L1,V1,M1} { subclass( X, X ) }.
% 18.54/18.91 substitution0:
% 18.54/18.91 X := X
% 18.54/18.91 end
% 18.54/18.91 permutation0:
% 18.54/18.91 0 ==> 0
% 18.54/18.91 end
% 18.54/18.91
% 18.54/18.91 resolution: (65467) {G1,W6,D2,L2,V1,M2} { ! subclass( skol10, X ), member
% 18.54/18.91 ( skol9, X ) }.
% 18.54/18.91 parent0[1]: (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X
% 18.54/18.91 ), member( Z, Y ) }.
% 18.54/18.91 parent1[0]: (93) {G0,W3,D2,L1,V0,M1} I { member( skol9, skol10 ) }.
% 23.76/24.15 substitution0:
% 23.76/24.15 X := skol10
% 23.76/24.15 Y := X
% 23.76/24.15 Z := skol9
% 23.76/24.15 end
% 23.76/24.15 substitution1:
% 23.76/24.15 end
% 23.76/24.15
% 23.76/24.15 subsumption: (116) {G1,W6,D2,L2,V1,M2} R(93,0) { ! subclass( skol10, X ),
% 23.76/24.15 member( skol9, X ) }.
% 23.76/24.15 parent0: (65467) {G1,W6,D2,L2,V1,M2} { ! subclass( skol10, X ), member(
% 23.76/24.15 skol9, X ) }.
% 23.76/24.15 substitution0:
% 23.76/24.15 X := X
% 23.76/24.15 end
% 23.76/24.15 permutation0:
% 23.76/24.15 0 ==> 0
% 23.76/24.15 1 ==> 1
% 23.76/24.15 end
% 23.76/24.15
% 23.76/24.15 resolution: (65468) {G1,W6,D2,L2,V1,M2} { ! subclass( skol10, X ), member
% 23.76/24.15 ( skol8, X ) }.
% 23.76/24.15 parent0[1]: (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X
% 23.76/24.15 ), member( Z, Y ) }.
% 23.76/24.15 parent1[0]: (92) {G0,W3,D2,L1,V0,M1} I { member( skol8, skol10 ) }.
% 23.76/24.15 substitution0:
% 23.76/24.15 X := skol10
% 23.76/24.15 Y := X
% 23.76/24.15 Z := skol8
% 23.76/24.15 end
% 23.76/24.15 substitution1:
% 23.76/24.15 end
% 23.76/24.15
% 23.76/24.15 subsumption: (117) {G1,W6,D2,L2,V1,M2} R(92,0) { ! subclass( skol10, X ),
% 23.76/24.15 member( skol8, X ) }.
% 23.76/24.15 parent0: (65468) {G1,W6,D2,L2,V1,M2} { ! subclass( skol10, X ), member(
% 23.76/24.15 skol8, X ) }.
% 23.76/24.15 substitution0:
% 23.76/24.15 X := X
% 23.76/24.15 end
% 23.76/24.15 permutation0:
% 23.76/24.15 0 ==> 0
% 23.76/24.15 1 ==> 1
% 23.76/24.15 end
% 23.76/24.15
% 23.76/24.15 resolution: (65469) {G1,W9,D4,L1,V0,M1} { member( skol1( unordered_pair(
% 23.76/24.15 skol8, skol9 ), skol10 ), unordered_pair( skol8, skol9 ) ) }.
% 23.76/24.15 parent0[0]: (94) {G0,W5,D3,L1,V0,M1} I { ! subclass( unordered_pair( skol8
% 23.76/24.15 , skol9 ), skol10 ) }.
% 23.76/24.15 parent1[1]: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ),
% 23.76/24.15 subclass( X, Y ) }.
% 23.76/24.15 substitution0:
% 23.76/24.15 end
% 23.76/24.15 substitution1:
% 23.76/24.15 X := unordered_pair( skol8, skol9 )
% 23.76/24.15 Y := skol10
% 23.76/24.15 end
% 23.76/24.15
% 23.76/24.15 subsumption: (130) {G1,W9,D4,L1,V0,M1} R(94,2) { member( skol1(
% 23.76/24.15 unordered_pair( skol8, skol9 ), skol10 ), unordered_pair( skol8, skol9 )
% 23.76/24.15 ) }.
% 23.76/24.15 parent0: (65469) {G1,W9,D4,L1,V0,M1} { member( skol1( unordered_pair(
% 23.76/24.15 skol8, skol9 ), skol10 ), unordered_pair( skol8, skol9 ) ) }.
% 23.76/24.15 substitution0:
% 23.76/24.15 end
% 23.76/24.15 permutation0:
% 23.76/24.15 0 ==> 0
% 23.76/24.15 end
% 23.76/24.15
% 23.76/24.15 resolution: (65470) {G1,W5,D3,L1,V1,M1} { ! member( skol1( X, skol10 ),
% 23.76/24.15 skol10 ) }.
% 23.76/24.15 parent0[0]: (94) {G0,W5,D3,L1,V0,M1} I { ! subclass( unordered_pair( skol8
% 23.76/24.15 , skol9 ), skol10 ) }.
% 23.76/24.15 parent1[1]: (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ),
% 23.76/24.15 subclass( X, Y ) }.
% 23.76/24.15 substitution0:
% 23.76/24.15 end
% 23.76/24.15 substitution1:
% 23.76/24.15 X := unordered_pair( skol8, skol9 )
% 23.76/24.15 Y := skol10
% 23.76/24.15 Z := X
% 23.76/24.15 end
% 23.76/24.15
% 23.76/24.15 subsumption: (131) {G1,W5,D3,L1,V1,M1} R(94,1) { ! member( skol1( X, skol10
% 23.76/24.15 ), skol10 ) }.
% 23.76/24.15 parent0: (65470) {G1,W5,D3,L1,V1,M1} { ! member( skol1( X, skol10 ),
% 23.76/24.15 skol10 ) }.
% 23.76/24.15 substitution0:
% 23.76/24.15 X := X
% 23.76/24.15 end
% 23.76/24.15 permutation0:
% 23.76/24.15 0 ==> 0
% 23.76/24.15 end
% 23.76/24.15
% 23.76/24.15 eqswap: (65471) {G0,W6,D2,L2,V2,M2} { ! Y = X, subclass( X, Y ) }.
% 23.76/24.15 parent0[0]: (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subclass( X, Y ) }.
% 23.76/24.15 substitution0:
% 23.76/24.15 X := X
% 23.76/24.15 Y := Y
% 23.76/24.15 end
% 23.76/24.15
% 23.76/24.15 eqswap: (65472) {G0,W6,D2,L2,V2,M2} { ! Y = X, subclass( X, Y ) }.
% 23.76/24.15 parent0[0]: (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subclass( X, Y ) }.
% 23.76/24.15 substitution0:
% 23.76/24.15 X := X
% 23.76/24.15 Y := Y
% 23.76/24.15 end
% 23.76/24.15
% 23.76/24.15 resolution: (65473) {G1,W9,D2,L3,V2,M3} { ! subclass( Y, X ), X = Y, ! Y =
% 23.76/24.15 X }.
% 23.76/24.15 parent0[0]: (5) {G0,W9,D2,L3,V2,M3} I { ! subclass( X, Y ), ! subclass( Y,
% 23.76/24.15 X ), X = Y }.
% 23.76/24.15 parent1[1]: (65471) {G0,W6,D2,L2,V2,M2} { ! Y = X, subclass( X, Y ) }.
% 23.76/24.15 substitution0:
% 23.76/24.15 X := X
% 23.76/24.15 Y := Y
% 23.76/24.15 end
% 23.76/24.15 substitution1:
% 23.76/24.15 X := X
% 23.76/24.15 Y := Y
% 23.76/24.15 end
% 23.76/24.15
% 23.76/24.15 resolution: (65475) {G1,W9,D2,L3,V2,M3} { Y = X, ! X = Y, ! Y = X }.
% 23.76/24.15 parent0[0]: (65473) {G1,W9,D2,L3,V2,M3} { ! subclass( Y, X ), X = Y, ! Y =
% 23.76/24.15 X }.
% 23.76/24.15 parent1[1]: (65472) {G0,W6,D2,L2,V2,M2} { ! Y = X, subclass( X, Y ) }.
% 23.76/24.15 substitution0:
% 23.76/24.15 X := Y
% 23.76/24.15 Y := X
% 23.76/24.15 end
% 23.76/24.15 substitution1:
% 23.76/24.15 X := X
% 23.76/24.15 Y := Y
% 23.76/24.15 end
% 23.76/24.15
% 23.76/24.15 eqswap: (65477) {G1,W9,D2,L3,V2,M3} { ! Y = X, X = Y, ! Y = X }.
% 23.76/24.15 parent0[2]: (65475) {G1,W9,D2,L3,V2,M3} { Y = X, ! X = Y, ! Y = X }.
% 23.76/24.15 substitution0:
% 23.76/24.15 X := Y
% 23.76/24.15 Y := X
% 23.76/24.15 end
% 23.76/24.15
% 23.76/24.15 factor: (65479) {G1,W6,D2,L2,V2,M2} { ! X = Y, Y = X }.
% 23.76/24.15 parent0[0, 2]: (65477) {G1,W9,D2,L3,V2,M3} { ! Y = X, X = Y, ! Y = X }.
% 23.76/24.15 substitution0:
% 23.76/24.15 X := Y
% 23.76/24.15 Y := X
% 23.76/24.15 end
% 23.76/24.15
% 23.76/24.15 subsumption: (139) {G1,W6,D2,L2,V2,M2} R(5,4);r(4) { X = Y, ! Y = X }.
% 23.76/24.15 parent0: (65479) {G1,W6,D2,L2,V2,M2} { ! X = Y, Y = X }.
% 23.76/24.15 substitution0:
% 23.76/24.15 X := Y
% 23.76/24.15 Y := X
% 23.76/24.15 end
% 23.76/24.15 permutation0:
% 23.76/24.15 0 ==> 1
% 23.76/24.15 1 ==> 0
% 23.76/24.15 end
% 23.76/24.15
% 23.76/24.15 *** allocated 15000 integers for justifications
% 23.76/24.15 *** allocated 22500 integers for justifications
% 23.76/24.15 *** allocated 33750 integers for justifications
% 23.76/24.15 *** allocated 50625 integers for justifications
% 23.76/24.15 *** allocated 75937 integCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------