TSTP Solution File: SET077+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET077+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 22:46:39 EDT 2022
% Result : Theorem 0.72s 1.09s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET077+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n003.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 00:26:14 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,
% 0.72/1.09 universal_class ), universal_class ) ) }.
% 0.72/1.09 { ! member( Z, union( X, Y ) ), member( Z, X ), member( Z, Y ) }.
% 0.72/1.09 { ! member( Z, X ), member( Z, union( X, Y ) ) }.
% 0.72/1.09 { ! member( Z, Y ), member( Z, union( X, Y ) ) }.
% 0.72/1.09 { successor( X ) = union( X, singleton( X ) ) }.
% 0.72/1.09 { subclass( successor_relation, cross_product( universal_class,
% 0.72/1.09 universal_class ) ) }.
% 0.72/1.09 { ! member( ordered_pair( X, Y ), successor_relation ), member( X,
% 0.72/1.09 universal_class ) }.
% 0.72/1.09 { ! member( ordered_pair( X, Y ), successor_relation ), alpha2( X, Y ) }.
% 0.72/1.09 { ! member( X, universal_class ), ! alpha2( X, Y ), member( ordered_pair( X
% 0.72/1.09 , Y ), successor_relation ) }.
% 0.72/1.09 { ! alpha2( X, Y ), member( Y, universal_class ) }.
% 0.72/1.09 { ! alpha2( X, Y ), successor( X ) = Y }.
% 0.72/1.09 { ! member( Y, universal_class ), ! successor( X ) = Y, alpha2( X, Y ) }.
% 0.72/1.09 { inverse( X ) = domain_of( flip( cross_product( X, universal_class ) ) ) }
% 0.72/1.09 .
% 0.72/1.09 { range_of( X ) = domain_of( inverse( X ) ) }.
% 0.72/1.09 { image( Y, X ) = range_of( restrict( Y, X, universal_class ) ) }.
% 0.72/1.09 { ! inductive( X ), member( null_class, X ) }.
% 0.72/1.09 { ! inductive( X ), subclass( image( successor_relation, X ), X ) }.
% 0.72/1.09 { ! member( null_class, X ), ! subclass( image( successor_relation, X ), X
% 0.72/1.09 ), inductive( X ) }.
% 0.72/1.09 { member( skol2, universal_class ) }.
% 0.72/1.09 { inductive( skol2 ) }.
% 0.72/1.09 { ! inductive( X ), subclass( skol2, X ) }.
% 0.72/1.09 { ! member( X, sum_class( Y ) ), member( skol3( Z, Y ), Y ) }.
% 0.72/1.09 { ! member( X, sum_class( Y ) ), member( X, skol3( X, Y ) ) }.
% 0.72/1.09 { ! member( X, Z ), ! member( Z, Y ), member( X, sum_class( Y ) ) }.
% 0.72/1.09 { ! member( X, universal_class ), member( sum_class( X ), universal_class )
% 0.72/1.09 }.
% 0.72/1.09 { ! member( X, power_class( Y ) ), member( X, universal_class ) }.
% 0.72/1.09 { ! member( X, power_class( Y ) ), subclass( X, Y ) }.
% 0.72/1.09 { ! member( X, universal_class ), ! subclass( X, Y ), member( X,
% 0.72/1.09 power_class( Y ) ) }.
% 0.72/1.09 { ! member( X, universal_class ), member( power_class( X ), universal_class
% 0.72/1.09 ) }.
% 0.72/1.09 { subclass( compose( Y, X ), cross_product( universal_class,
% 0.72/1.09 universal_class ) ) }.
% 0.72/1.09 { ! member( ordered_pair( Z, T ), compose( Y, X ) ), member( Z,
% 0.72/1.09 universal_class ) }.
% 0.72/1.09 { ! member( ordered_pair( Z, T ), compose( Y, X ) ), member( T, image( Y,
% 0.72/1.09 image( X, singleton( Z ) ) ) ) }.
% 0.72/1.09 { ! member( Z, universal_class ), ! member( T, image( Y, image( X,
% 0.72/1.09 singleton( Z ) ) ) ), member( ordered_pair( Z, T ), compose( Y, X ) ) }.
% 0.72/1.09 { ! member( X, identity_relation ), member( skol4( Y ), universal_class ) }
% 0.72/1.09 .
% 0.72/1.09 { ! member( X, identity_relation ), X = ordered_pair( skol4( X ), skol4( X
% 0.72/1.09 ) ) }.
% 0.72/1.09 { ! member( Y, universal_class ), ! X = ordered_pair( Y, Y ), member( X,
% 0.72/1.09 identity_relation ) }.
% 0.72/1.09 { ! function( X ), subclass( X, cross_product( universal_class,
% 0.72/1.09 universal_class ) ) }.
% 0.72/1.09 { ! function( X ), subclass( compose( X, inverse( X ) ), identity_relation
% 0.72/1.09 ) }.
% 0.72/1.09 { ! subclass( X, cross_product( universal_class, universal_class ) ), !
% 0.72/1.09 subclass( compose( X, inverse( X ) ), identity_relation ), function( X )
% 0.72/1.09 }.
% 0.72/1.09 { ! member( X, universal_class ), ! function( Y ), member( image( Y, X ),
% 0.72/1.09 universal_class ) }.
% 0.72/1.09 { ! disjoint( X, Y ), ! member( Z, X ), ! member( Z, Y ) }.
% 0.72/1.09 { member( skol5( Z, Y ), Y ), disjoint( X, Y ) }.
% 0.72/1.09 { member( skol5( X, Y ), X ), disjoint( X, Y ) }.
% 0.72/1.09 { X = null_class, member( skol6( Y ), universal_class ) }.
% 0.72/1.09 { X = null_class, member( skol6( X ), X ) }.
% 0.72/1.09 { X = null_class, disjoint( skol6( X ), X ) }.
% 0.72/1.09 { apply( X, Y ) = sum_class( image( X, singleton( Y ) ) ) }.
% 0.72/1.09 { function( skol7 ) }.
% 0.72/1.09 { ! member( X, universal_class ), X = null_class, member( apply( skol7, X )
% 0.72/1.09 , X ) }.
% 0.72/1.09 { ! member( singleton( skol8 ), universal_class ) }.
% 0.72/1.09
% 0.72/1.09 percentage equality = 0.145078, percentage horn = 0.882979
% 0.72/1.09 This is a problem with some equality
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Options Used:
% 0.72/1.09
% 0.72/1.09 useres = 1
% 0.72/1.09 useparamod = 1
% 0.72/1.09 useeqrefl = 1
% 0.72/1.09 useeqfact = 1
% 0.72/1.09 usefactor = 1
% 0.72/1.09 usesimpsplitting = 0
% 0.72/1.09 usesimpdemod = 5
% 0.72/1.09 usesimpres = 3
% 0.72/1.09
% 0.72/1.09 resimpinuse = 1000
% 0.72/1.09 resimpclauses = 20000
% 0.72/1.09 substype = eqrewr
% 0.72/1.09 backwardsubs = 1
% 0.72/1.09 selectoldest = 5
% 0.72/1.09
% 0.72/1.09 litorderings [0] = split
% 0.72/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.09
% 0.72/1.09 termordering = kbo
% 0.72/1.09
% 0.72/1.09 litapriori = 0
% 0.72/1.09 termapriori = 1
% 0.72/1.09 litaposteriori = 0
% 0.72/1.09 termaposteriori = 0
% 0.72/1.09 demodaposteriori = 0
% 0.72/1.09 ordereqreflfact = 0
% 0.72/1.09
% 0.72/1.09 litselect = negord
% 0.72/1.09
% 0.72/1.09 maxweight = 15
% 0.72/1.09 maxdepth = 30000
% 0.72/1.09 maxlength = 115
% 0.72/1.09 maxnrvars = 195
% 0.72/1.09 excuselevel = 1
% 0.72/1.09 increasemaxweight = 1
% 0.72/1.09
% 0.72/1.09 maxselected = 10000000
% 0.72/1.09 maxnrclauses = 10000000
% 0.72/1.09
% 0.72/1.09 showgenerated = 0
% 0.72/1.09 showkept = 0
% 0.72/1.09 showselected = 0
% 0.72/1.09 showdeleted = 0
% 0.72/1.09 showresimp = 1
% 0.72/1.09 showstatus = 2000
% 0.72/1.09
% 0.72/1.09 prologoutput = 0
% 0.72/1.09 nrgoals = 5000000
% 0.72/1.09 totalproof = 1
% 0.72/1.09
% 0.72/1.09 Symbols occurring in the translation:
% 0.72/1.09
% 0.72/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.09 . [1, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.72/1.09 ! [4, 1] (w:0, o:23, a:1, s:1, b:0),
% 0.72/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.09 subclass [37, 2] (w:1, o:68, a:1, s:1, b:0),
% 0.72/1.09 member [39, 2] (w:1, o:69, a:1, s:1, b:0),
% 0.72/1.09 universal_class [40, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.72/1.09 unordered_pair [41, 2] (w:1, o:70, a:1, s:1, b:0),
% 0.72/1.09 singleton [42, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.72/1.09 ordered_pair [43, 2] (w:1, o:71, a:1, s:1, b:0),
% 0.72/1.09 cross_product [45, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.72/1.09 first [46, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.72/1.09 second [47, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.72/1.09 element_relation [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.72/1.09 intersection [50, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.72/1.09 complement [51, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.72/1.09 restrict [53, 3] (w:1, o:83, a:1, s:1, b:0),
% 0.72/1.09 null_class [54, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.72/1.09 domain_of [55, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.72/1.09 rotate [57, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.72/1.09 flip [58, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.72/1.09 union [59, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.72/1.09 successor [60, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.72/1.09 successor_relation [61, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.72/1.09 inverse [62, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.72/1.09 range_of [63, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.72/1.09 image [64, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.72/1.09 inductive [65, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.72/1.09 sum_class [66, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.72/1.09 power_class [67, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.72/1.09 compose [69, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.72/1.09 identity_relation [70, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.72/1.09 function [72, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.72/1.09 disjoint [73, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.72/1.09 apply [74, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.72/1.09 alpha1 [75, 3] (w:1, o:84, a:1, s:1, b:1),
% 0.72/1.09 alpha2 [76, 2] (w:1, o:79, a:1, s:1, b:1),
% 0.72/1.09 skol1 [77, 2] (w:1, o:80, a:1, s:1, b:1),
% 0.72/1.09 skol2 [78, 0] (w:1, o:20, a:1, s:1, b:1),
% 0.72/1.09 skol3 [79, 2] (w:1, o:81, a:1, s:1, b:1),
% 0.72/1.09 skol4 [80, 1] (w:1, o:42, a:1, s:1, b:1),
% 0.72/1.09 skol5 [81, 2] (w:1, o:82, a:1, s:1, b:1),
% 0.72/1.09 skol6 [82, 1] (w:1, o:43, a:1, s:1, b:1),
% 0.72/1.09 skol7 [83, 0] (w:1, o:21, a:1, s:1, b:1),
% 0.72/1.09 skol8 [84, 0] (w:1, o:22, a:1, s:1, b:1).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Starting Search:
% 0.72/1.09
% 0.72/1.09 *** allocated 15000 integers for clauses
% 0.72/1.09 *** allocated 22500 integers for clauses
% 0.72/1.09 *** allocated 33750 integers for clauses
% 0.72/1.09
% 0.72/1.09 Bliksems!, er is een bewijs:
% 0.72/1.09 % SZS status Theorem
% 0.72/1.09 % SZS output start Refutation
% 0.72/1.09
% 0.72/1.09 (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X ), member( Z
% 0.72/1.09 , Y ) }.
% 0.72/1.09 (3) {G0,W3,D2,L1,V1,M1} I { subclass( X, universal_class ) }.
% 0.72/1.09 (12) {G0,W5,D3,L1,V2,M1} I { member( unordered_pair( X, Y ),
% 0.72/1.09 universal_class ) }.
% 0.72/1.09 (13) {G0,W6,D3,L1,V1,M1} I { unordered_pair( X, X ) ==> singleton( X ) }.
% 0.72/1.09 (92) {G0,W4,D3,L1,V0,M1} I { ! member( singleton( skol8 ), universal_class
% 0.72/1.09 ) }.
% 0.72/1.09 (115) {G1,W4,D3,L1,V1,M1} R(92,0);r(3) { ! member( singleton( skol8 ), X )
% 0.72/1.09 }.
% 0.72/1.09 (547) {G1,W4,D3,L1,V1,M1} P(13,12) { member( singleton( X ),
% 0.72/1.09 universal_class ) }.
% 0.72/1.09 (549) {G2,W0,D0,L0,V0,M0} R(547,115) { }.
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 % SZS output end Refutation
% 0.72/1.09 found a proof!
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Unprocessed initial clauses:
% 0.72/1.09
% 0.72/1.09 (551) {G0,W9,D2,L3,V3,M3} { ! subclass( X, Y ), ! member( Z, X ), member(
% 0.72/1.09 Z, Y ) }.
% 0.72/1.09 (552) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ), subclass( X, Y )
% 0.72/1.09 }.
% 0.72/1.09 (553) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subclass( X, Y )
% 0.72/1.09 }.
% 0.72/1.09 (554) {G0,W3,D2,L1,V1,M1} { subclass( X, universal_class ) }.
% 0.72/1.09 (555) {G0,W6,D2,L2,V2,M2} { ! X = Y, subclass( X, Y ) }.
% 0.72/1.09 (556) {G0,W6,D2,L2,V2,M2} { ! X = Y, subclass( Y, X ) }.
% 0.72/1.09 (557) {G0,W9,D2,L3,V2,M3} { ! subclass( X, Y ), ! subclass( Y, X ), X = Y
% 0.72/1.09 }.
% 0.72/1.09 (558) {G0,W8,D3,L2,V3,M2} { ! member( X, unordered_pair( Y, Z ) ), member
% 0.72/1.09 ( X, universal_class ) }.
% 0.72/1.09 (559) {G0,W9,D3,L2,V3,M2} { ! member( X, unordered_pair( Y, Z ) ), alpha1
% 0.72/1.09 ( X, Y, Z ) }.
% 0.72/1.09 (560) {G0,W12,D3,L3,V3,M3} { ! member( X, universal_class ), ! alpha1( X,
% 0.72/1.09 Y, Z ), member( X, unordered_pair( Y, Z ) ) }.
% 0.72/1.09 (561) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), X = Y, X = Z }.
% 0.72/1.09 (562) {G0,W7,D2,L2,V3,M2} { ! X = Y, alpha1( X, Y, Z ) }.
% 0.72/1.09 (563) {G0,W7,D2,L2,V3,M2} { ! X = Z, alpha1( X, Y, Z ) }.
% 0.72/1.09 (564) {G0,W5,D3,L1,V2,M1} { member( unordered_pair( X, Y ),
% 0.72/1.09 universal_class ) }.
% 0.72/1.09 (565) {G0,W6,D3,L1,V1,M1} { singleton( X ) = unordered_pair( X, X ) }.
% 0.72/1.09 (566) {G0,W11,D5,L1,V2,M1} { ordered_pair( X, Y ) = unordered_pair(
% 0.72/1.09 singleton( X ), unordered_pair( X, singleton( Y ) ) ) }.
% 0.72/1.09 (567) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( X, Y ), cross_product
% 0.72/1.09 ( Z, T ) ), member( X, Z ) }.
% 0.72/1.09 (568) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( X, Y ), cross_product
% 0.72/1.09 ( Z, T ) ), member( Y, T ) }.
% 0.72/1.09 (569) {G0,W13,D3,L3,V4,M3} { ! member( X, Z ), ! member( Y, T ), member(
% 0.72/1.09 ordered_pair( X, Y ), cross_product( Z, T ) ) }.
% 0.72/1.09 (570) {G0,W12,D4,L3,V2,M3} { ! member( X, universal_class ), ! member( Y,
% 0.72/1.09 universal_class ), first( ordered_pair( X, Y ) ) = X }.
% 0.72/1.09 (571) {G0,W12,D4,L3,V2,M3} { ! member( X, universal_class ), ! member( Y,
% 0.72/1.09 universal_class ), second( ordered_pair( X, Y ) ) = Y }.
% 0.72/1.09 (572) {G0,W12,D4,L2,V3,M2} { ! member( X, cross_product( Y, Z ) ), X =
% 0.72/1.09 ordered_pair( first( X ), second( X ) ) }.
% 0.72/1.09 (573) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 0.72/1.09 element_relation ), member( Y, universal_class ) }.
% 0.72/1.09 (574) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 0.72/1.09 element_relation ), member( X, Y ) }.
% 0.72/1.09 (575) {G0,W11,D3,L3,V2,M3} { ! member( Y, universal_class ), ! member( X,
% 0.72/1.09 Y ), member( ordered_pair( X, Y ), element_relation ) }.
% 0.72/1.09 (576) {G0,W5,D3,L1,V0,M1} { subclass( element_relation, cross_product(
% 0.72/1.09 universal_class, universal_class ) ) }.
% 0.72/1.09 (577) {G0,W8,D3,L2,V3,M2} { ! member( Z, intersection( X, Y ) ), member( Z
% 0.72/1.09 , X ) }.
% 0.72/1.09 (578) {G0,W8,D3,L2,V3,M2} { ! member( Z, intersection( X, Y ) ), member( Z
% 0.72/1.09 , Y ) }.
% 0.72/1.09 (579) {G0,W11,D3,L3,V3,M3} { ! member( Z, X ), ! member( Z, Y ), member( Z
% 0.72/1.09 , intersection( X, Y ) ) }.
% 0.72/1.09 (580) {G0,W7,D3,L2,V2,M2} { ! member( Y, complement( X ) ), member( Y,
% 0.72/1.09 universal_class ) }.
% 0.72/1.09 (581) {G0,W7,D3,L2,V2,M2} { ! member( Y, complement( X ) ), ! member( Y, X
% 0.72/1.09 ) }.
% 0.72/1.09 (582) {G0,W10,D3,L3,V2,M3} { ! member( Y, universal_class ), member( Y, X
% 0.72/1.09 ), member( Y, complement( X ) ) }.
% 0.72/1.09 (583) {G0,W10,D4,L1,V3,M1} { restrict( Y, X, Z ) = intersection( Y,
% 0.72/1.09 cross_product( X, Z ) ) }.
% 0.72/1.09 (584) {G0,W3,D2,L1,V1,M1} { ! member( X, null_class ) }.
% 0.72/1.09 (585) {G0,W7,D3,L2,V2,M2} { ! member( Y, domain_of( X ) ), member( Y,
% 0.72/1.09 universal_class ) }.
% 0.72/1.09 (586) {G0,W11,D4,L2,V2,M2} { ! member( Y, domain_of( X ) ), ! restrict( X
% 0.72/1.09 , singleton( Y ), universal_class ) = null_class }.
% 0.72/1.09 (587) {G0,W14,D4,L3,V2,M3} { ! member( Y, universal_class ), restrict( X,
% 0.72/1.09 singleton( Y ), universal_class ) = null_class, member( Y, domain_of( X )
% 0.72/1.09 ) }.
% 0.72/1.09 (588) {G0,W19,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( Y, Z )
% 0.72/1.09 , T ), rotate( X ) ), member( ordered_pair( ordered_pair( Y, Z ), T ),
% 0.72/1.09 cross_product( cross_product( universal_class, universal_class ),
% 0.72/1.09 universal_class ) ) }.
% 0.72/1.09 (589) {G0,W15,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( Y, Z )
% 0.72/1.09 , T ), rotate( X ) ), member( ordered_pair( ordered_pair( Z, T ), Y ), X
% 0.72/1.09 ) }.
% 0.72/1.09 (590) {G0,W26,D4,L3,V4,M3} { ! member( ordered_pair( ordered_pair( Y, Z )
% 0.72/1.09 , T ), cross_product( cross_product( universal_class, universal_class ),
% 0.72/1.09 universal_class ) ), ! member( ordered_pair( ordered_pair( Z, T ), Y ), X
% 0.72/1.09 ), member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ) }.
% 0.72/1.09 (591) {G0,W8,D4,L1,V1,M1} { subclass( rotate( X ), cross_product(
% 0.72/1.09 cross_product( universal_class, universal_class ), universal_class ) )
% 0.72/1.09 }.
% 0.72/1.09 (592) {G0,W19,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( X, Y )
% 0.72/1.09 , Z ), flip( T ) ), member( ordered_pair( ordered_pair( X, Y ), Z ),
% 0.72/1.09 cross_product( cross_product( universal_class, universal_class ),
% 0.72/1.09 universal_class ) ) }.
% 0.72/1.09 (593) {G0,W15,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( X, Y )
% 0.72/1.09 , Z ), flip( T ) ), member( ordered_pair( ordered_pair( Y, X ), Z ), T )
% 0.72/1.09 }.
% 0.72/1.09 (594) {G0,W26,D4,L3,V4,M3} { ! member( ordered_pair( ordered_pair( X, Y )
% 0.72/1.09 , Z ), cross_product( cross_product( universal_class, universal_class ),
% 0.72/1.09 universal_class ) ), ! member( ordered_pair( ordered_pair( Y, X ), Z ), T
% 0.72/1.09 ), member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ) }.
% 0.72/1.09 (595) {G0,W8,D4,L1,V1,M1} { subclass( flip( X ), cross_product(
% 0.72/1.09 cross_product( universal_class, universal_class ), universal_class ) )
% 0.72/1.09 }.
% 0.72/1.09 (596) {G0,W11,D3,L3,V3,M3} { ! member( Z, union( X, Y ) ), member( Z, X )
% 0.72/1.09 , member( Z, Y ) }.
% 0.72/1.09 (597) {G0,W8,D3,L2,V3,M2} { ! member( Z, X ), member( Z, union( X, Y ) )
% 0.72/1.09 }.
% 0.72/1.09 (598) {G0,W8,D3,L2,V3,M2} { ! member( Z, Y ), member( Z, union( X, Y ) )
% 0.72/1.09 }.
% 0.72/1.09 (599) {G0,W7,D4,L1,V1,M1} { successor( X ) = union( X, singleton( X ) )
% 0.72/1.09 }.
% 0.72/1.09 (600) {G0,W5,D3,L1,V0,M1} { subclass( successor_relation, cross_product(
% 0.72/1.09 universal_class, universal_class ) ) }.
% 0.72/1.09 (601) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 0.72/1.09 successor_relation ), member( X, universal_class ) }.
% 0.72/1.09 (602) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 0.72/1.09 successor_relation ), alpha2( X, Y ) }.
% 0.72/1.09 (603) {G0,W11,D3,L3,V2,M3} { ! member( X, universal_class ), ! alpha2( X,
% 0.72/1.09 Y ), member( ordered_pair( X, Y ), successor_relation ) }.
% 0.72/1.09 (604) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), member( Y, universal_class )
% 0.72/1.09 }.
% 0.72/1.09 (605) {G0,W7,D3,L2,V2,M2} { ! alpha2( X, Y ), successor( X ) = Y }.
% 0.72/1.09 (606) {G0,W10,D3,L3,V2,M3} { ! member( Y, universal_class ), ! successor(
% 0.72/1.09 X ) = Y, alpha2( X, Y ) }.
% 0.72/1.09 (607) {G0,W8,D5,L1,V1,M1} { inverse( X ) = domain_of( flip( cross_product
% 0.72/1.09 ( X, universal_class ) ) ) }.
% 0.72/1.09 (608) {G0,W6,D4,L1,V1,M1} { range_of( X ) = domain_of( inverse( X ) ) }.
% 0.72/1.09 (609) {G0,W9,D4,L1,V2,M1} { image( Y, X ) = range_of( restrict( Y, X,
% 0.72/1.09 universal_class ) ) }.
% 0.72/1.09 (610) {G0,W5,D2,L2,V1,M2} { ! inductive( X ), member( null_class, X ) }.
% 0.72/1.09 (611) {G0,W7,D3,L2,V1,M2} { ! inductive( X ), subclass( image(
% 0.72/1.09 successor_relation, X ), X ) }.
% 0.72/1.09 (612) {G0,W10,D3,L3,V1,M3} { ! member( null_class, X ), ! subclass( image
% 0.72/1.09 ( successor_relation, X ), X ), inductive( X ) }.
% 0.72/1.09 (613) {G0,W3,D2,L1,V0,M1} { member( skol2, universal_class ) }.
% 0.72/1.09 (614) {G0,W2,D2,L1,V0,M1} { inductive( skol2 ) }.
% 0.72/1.09 (615) {G0,W5,D2,L2,V1,M2} { ! inductive( X ), subclass( skol2, X ) }.
% 0.72/1.09 (616) {G0,W9,D3,L2,V3,M2} { ! member( X, sum_class( Y ) ), member( skol3(
% 0.72/1.09 Z, Y ), Y ) }.
% 0.72/1.09 (617) {G0,W9,D3,L2,V2,M2} { ! member( X, sum_class( Y ) ), member( X,
% 0.72/1.09 skol3( X, Y ) ) }.
% 0.72/1.09 (618) {G0,W10,D3,L3,V3,M3} { ! member( X, Z ), ! member( Z, Y ), member( X
% 0.72/1.09 , sum_class( Y ) ) }.
% 0.72/1.09 (619) {G0,W7,D3,L2,V1,M2} { ! member( X, universal_class ), member(
% 0.72/1.09 sum_class( X ), universal_class ) }.
% 0.72/1.09 (620) {G0,W7,D3,L2,V2,M2} { ! member( X, power_class( Y ) ), member( X,
% 0.72/1.09 universal_class ) }.
% 0.72/1.09 (621) {G0,W7,D3,L2,V2,M2} { ! member( X, power_class( Y ) ), subclass( X,
% 0.72/1.09 Y ) }.
% 0.72/1.09 (622) {G0,W10,D3,L3,V2,M3} { ! member( X, universal_class ), ! subclass( X
% 0.72/1.09 , Y ), member( X, power_class( Y ) ) }.
% 0.72/1.09 (623) {G0,W7,D3,L2,V1,M2} { ! member( X, universal_class ), member(
% 0.72/1.09 power_class( X ), universal_class ) }.
% 0.72/1.09 (624) {G0,W7,D3,L1,V2,M1} { subclass( compose( Y, X ), cross_product(
% 0.72/1.09 universal_class, universal_class ) ) }.
% 0.72/1.09 (625) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( Z, T ), compose( Y, X
% 0.72/1.09 ) ), member( Z, universal_class ) }.
% 0.72/1.09 (626) {G0,W15,D5,L2,V4,M2} { ! member( ordered_pair( Z, T ), compose( Y, X
% 0.72/1.09 ) ), member( T, image( Y, image( X, singleton( Z ) ) ) ) }.
% 0.72/1.09 (627) {G0,W18,D5,L3,V4,M3} { ! member( Z, universal_class ), ! member( T,
% 0.72/1.09 image( Y, image( X, singleton( Z ) ) ) ), member( ordered_pair( Z, T ),
% 0.72/1.09 compose( Y, X ) ) }.
% 0.72/1.09 (628) {G0,W7,D3,L2,V2,M2} { ! member( X, identity_relation ), member(
% 0.72/1.09 skol4( Y ), universal_class ) }.
% 0.72/1.09 (629) {G0,W10,D4,L2,V1,M2} { ! member( X, identity_relation ), X =
% 0.72/1.09 ordered_pair( skol4( X ), skol4( X ) ) }.
% 0.72/1.09 (630) {G0,W11,D3,L3,V2,M3} { ! member( Y, universal_class ), ! X =
% 0.72/1.09 ordered_pair( Y, Y ), member( X, identity_relation ) }.
% 0.72/1.09 (631) {G0,W7,D3,L2,V1,M2} { ! function( X ), subclass( X, cross_product(
% 0.72/1.09 universal_class, universal_class ) ) }.
% 0.72/1.09 (632) {G0,W8,D4,L2,V1,M2} { ! function( X ), subclass( compose( X, inverse
% 0.72/1.09 ( X ) ), identity_relation ) }.
% 0.72/1.09 (633) {G0,W13,D4,L3,V1,M3} { ! subclass( X, cross_product( universal_class
% 0.72/1.09 , universal_class ) ), ! subclass( compose( X, inverse( X ) ),
% 0.72/1.09 identity_relation ), function( X ) }.
% 0.72/1.09 (634) {G0,W10,D3,L3,V2,M3} { ! member( X, universal_class ), ! function( Y
% 0.72/1.09 ), member( image( Y, X ), universal_class ) }.
% 0.72/1.09 (635) {G0,W9,D2,L3,V3,M3} { ! disjoint( X, Y ), ! member( Z, X ), ! member
% 0.72/1.09 ( Z, Y ) }.
% 0.72/1.09 (636) {G0,W8,D3,L2,V3,M2} { member( skol5( Z, Y ), Y ), disjoint( X, Y )
% 0.72/1.09 }.
% 0.72/1.09 (637) {G0,W8,D3,L2,V2,M2} { member( skol5( X, Y ), X ), disjoint( X, Y )
% 0.72/1.09 }.
% 0.72/1.09 (638) {G0,W7,D3,L2,V2,M2} { X = null_class, member( skol6( Y ),
% 0.72/1.09 universal_class ) }.
% 0.72/1.09 (639) {G0,W7,D3,L2,V1,M2} { X = null_class, member( skol6( X ), X ) }.
% 0.72/1.09 (640) {G0,W7,D3,L2,V1,M2} { X = null_class, disjoint( skol6( X ), X ) }.
% 0.72/1.09 (641) {G0,W9,D5,L1,V2,M1} { apply( X, Y ) = sum_class( image( X, singleton
% 0.72/1.09 ( Y ) ) ) }.
% 0.72/1.09 (642) {G0,W2,D2,L1,V0,M1} { function( skol7 ) }.
% 0.72/1.09 (643) {G0,W11,D3,L3,V1,M3} { ! member( X, universal_class ), X =
% 0.72/1.09 null_class, member( apply( skol7, X ), X ) }.
% 0.72/1.09 (644) {G0,W4,D3,L1,V0,M1} { ! member( singleton( skol8 ), universal_class
% 0.72/1.09 ) }.
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Total Proof:
% 0.72/1.09
% 0.72/1.09 subsumption: (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X
% 0.72/1.09 ), member( Z, Y ) }.
% 0.72/1.09 parent0: (551) {G0,W9,D2,L3,V3,M3} { ! subclass( X, Y ), ! member( Z, X )
% 0.72/1.09 , member( Z, Y ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 Z := Z
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 1 ==> 1
% 0.72/1.09 2 ==> 2
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (3) {G0,W3,D2,L1,V1,M1} I { subclass( X, universal_class ) }.
% 0.72/1.09 parent0: (554) {G0,W3,D2,L1,V1,M1} { subclass( X, universal_class ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (12) {G0,W5,D3,L1,V2,M1} I { member( unordered_pair( X, Y ),
% 0.72/1.09 universal_class ) }.
% 0.72/1.09 parent0: (564) {G0,W5,D3,L1,V2,M1} { member( unordered_pair( X, Y ),
% 0.72/1.09 universal_class ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 eqswap: (665) {G0,W6,D3,L1,V1,M1} { unordered_pair( X, X ) = singleton( X
% 0.72/1.09 ) }.
% 0.72/1.09 parent0[0]: (565) {G0,W6,D3,L1,V1,M1} { singleton( X ) = unordered_pair( X
% 0.72/1.09 , X ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (13) {G0,W6,D3,L1,V1,M1} I { unordered_pair( X, X ) ==>
% 0.72/1.09 singleton( X ) }.
% 0.72/1.09 parent0: (665) {G0,W6,D3,L1,V1,M1} { unordered_pair( X, X ) = singleton( X
% 0.72/1.09 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (92) {G0,W4,D3,L1,V0,M1} I { ! member( singleton( skol8 ),
% 0.72/1.09 universal_class ) }.
% 0.72/1.09 parent0: (644) {G0,W4,D3,L1,V0,M1} { ! member( singleton( skol8 ),
% 0.72/1.09 universal_class ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (709) {G1,W7,D3,L2,V1,M2} { ! subclass( X, universal_class ),
% 0.72/1.09 ! member( singleton( skol8 ), X ) }.
% 0.72/1.09 parent0[0]: (92) {G0,W4,D3,L1,V0,M1} I { ! member( singleton( skol8 ),
% 0.72/1.09 universal_class ) }.
% 0.72/1.09 parent1[2]: (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X
% 0.72/1.09 ), member( Z, Y ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := X
% 0.72/1.09 Y := universal_class
% 0.72/1.09 Z := singleton( skol8 )
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (710) {G1,W4,D3,L1,V1,M1} { ! member( singleton( skol8 ), X )
% 0.72/1.09 }.
% 0.72/1.09 parent0[0]: (709) {G1,W7,D3,L2,V1,M2} { ! subclass( X, universal_class ),
% 0.72/1.09 ! member( singleton( skol8 ), X ) }.
% 0.72/1.09 parent1[0]: (3) {G0,W3,D2,L1,V1,M1} I { subclass( X, universal_class ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (115) {G1,W4,D3,L1,V1,M1} R(92,0);r(3) { ! member( singleton(
% 0.72/1.09 skol8 ), X ) }.
% 0.72/1.09 parent0: (710) {G1,W4,D3,L1,V1,M1} { ! member( singleton( skol8 ), X ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 paramod: (712) {G1,W4,D3,L1,V1,M1} { member( singleton( X ),
% 0.72/1.09 universal_class ) }.
% 0.72/1.09 parent0[0]: (13) {G0,W6,D3,L1,V1,M1} I { unordered_pair( X, X ) ==>
% 0.72/1.09 singleton( X ) }.
% 0.72/1.09 parent1[0; 1]: (12) {G0,W5,D3,L1,V2,M1} I { member( unordered_pair( X, Y )
% 0.72/1.09 , universal_class ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := X
% 0.72/1.09 Y := X
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (547) {G1,W4,D3,L1,V1,M1} P(13,12) { member( singleton( X ),
% 0.72/1.09 universal_class ) }.
% 0.72/1.09 parent0: (712) {G1,W4,D3,L1,V1,M1} { member( singleton( X ),
% 0.72/1.09 universal_class ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (713) {G2,W0,D0,L0,V0,M0} { }.
% 0.72/1.09 parent0[0]: (115) {G1,W4,D3,L1,V1,M1} R(92,0);r(3) { ! member( singleton(
% 0.72/1.09 skol8 ), X ) }.
% 0.72/1.09 parent1[0]: (547) {G1,W4,D3,L1,V1,M1} P(13,12) { member( singleton( X ),
% 0.72/1.09 universal_class ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := universal_class
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := skol8
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (549) {G2,W0,D0,L0,V0,M0} R(547,115) { }.
% 0.72/1.09 parent0: (713) {G2,W0,D0,L0,V0,M0} { }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 Proof check complete!
% 0.72/1.09
% 0.72/1.09 Memory use:
% 0.72/1.09
% 0.72/1.09 space for terms: 8291
% 0.72/1.09 space for clauses: 26510
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 clauses generated: 1139
% 0.72/1.09 clauses kept: 550
% 0.72/1.09 clauses selected: 61
% 0.72/1.09 clauses deleted: 1
% 0.72/1.09 clauses inuse deleted: 0
% 0.72/1.09
% 0.72/1.09 subsentry: 2116
% 0.72/1.09 literals s-matched: 1903
% 0.72/1.09 literals matched: 1903
% 0.72/1.09 full subsumption: 1011
% 0.72/1.09
% 0.72/1.09 checksum: 796894051
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Bliksem ended
%------------------------------------------------------------------------------