TSTP Solution File: SET086+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET086+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 22:46:49 EDT 2022
% Result : Theorem 0.73s 1.58s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET086+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sun Jul 10 10:55:38 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.69/1.08 *** allocated 10000 integers for termspace/termends
% 0.69/1.08 *** allocated 10000 integers for clauses
% 0.69/1.08 *** allocated 10000 integers for justifications
% 0.69/1.08 Bliksem 1.12
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 Automatic Strategy Selection
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 Clauses:
% 0.69/1.08
% 0.69/1.08 { ! subclass( X, Y ), ! member( Z, X ), member( Z, Y ) }.
% 0.69/1.08 { ! member( skol1( Z, Y ), Y ), subclass( X, Y ) }.
% 0.69/1.08 { member( skol1( X, Y ), X ), subclass( X, Y ) }.
% 0.69/1.08 { subclass( X, universal_class ) }.
% 0.69/1.08 { ! X = Y, subclass( X, Y ) }.
% 0.69/1.08 { ! X = Y, subclass( Y, X ) }.
% 0.69/1.08 { ! subclass( X, Y ), ! subclass( Y, X ), X = Y }.
% 0.69/1.08 { ! member( X, unordered_pair( Y, Z ) ), member( X, universal_class ) }.
% 0.69/1.08 { ! member( X, unordered_pair( Y, Z ) ), alpha1( X, Y, Z ) }.
% 0.69/1.08 { ! member( X, universal_class ), ! alpha1( X, Y, Z ), member( X,
% 0.69/1.08 unordered_pair( Y, Z ) ) }.
% 0.69/1.08 { ! alpha1( X, Y, Z ), X = Y, X = Z }.
% 0.69/1.08 { ! X = Y, alpha1( X, Y, Z ) }.
% 0.69/1.08 { ! X = Z, alpha1( X, Y, Z ) }.
% 0.69/1.08 { member( unordered_pair( X, Y ), universal_class ) }.
% 0.69/1.08 { singleton( X ) = unordered_pair( X, X ) }.
% 0.69/1.08 { ordered_pair( X, Y ) = unordered_pair( singleton( X ), unordered_pair( X
% 0.69/1.08 , singleton( Y ) ) ) }.
% 0.69/1.09 { ! member( ordered_pair( X, Y ), cross_product( Z, T ) ), member( X, Z ) }
% 0.69/1.09 .
% 0.69/1.09 { ! member( ordered_pair( X, Y ), cross_product( Z, T ) ), member( Y, T ) }
% 0.69/1.09 .
% 0.69/1.09 { ! member( X, Z ), ! member( Y, T ), member( ordered_pair( X, Y ),
% 0.69/1.09 cross_product( Z, T ) ) }.
% 0.69/1.09 { ! member( X, universal_class ), ! member( Y, universal_class ), first(
% 0.69/1.09 ordered_pair( X, Y ) ) = X }.
% 0.69/1.09 { ! member( X, universal_class ), ! member( Y, universal_class ), second(
% 0.69/1.09 ordered_pair( X, Y ) ) = Y }.
% 0.69/1.09 { ! member( X, cross_product( Y, Z ) ), X = ordered_pair( first( X ),
% 0.69/1.09 second( X ) ) }.
% 0.69/1.09 { ! member( ordered_pair( X, Y ), element_relation ), member( Y,
% 0.69/1.09 universal_class ) }.
% 0.69/1.09 { ! member( ordered_pair( X, Y ), element_relation ), member( X, Y ) }.
% 0.69/1.09 { ! member( Y, universal_class ), ! member( X, Y ), member( ordered_pair( X
% 0.69/1.09 , Y ), element_relation ) }.
% 0.69/1.09 { subclass( element_relation, cross_product( universal_class,
% 0.69/1.09 universal_class ) ) }.
% 0.69/1.09 { ! member( Z, intersection( X, Y ) ), member( Z, X ) }.
% 0.69/1.09 { ! member( Z, intersection( X, Y ) ), member( Z, Y ) }.
% 0.69/1.09 { ! member( Z, X ), ! member( Z, Y ), member( Z, intersection( X, Y ) ) }.
% 0.69/1.09 { ! member( Y, complement( X ) ), member( Y, universal_class ) }.
% 0.69/1.09 { ! member( Y, complement( X ) ), ! member( Y, X ) }.
% 0.69/1.09 { ! member( Y, universal_class ), member( Y, X ), member( Y, complement( X
% 0.69/1.09 ) ) }.
% 0.69/1.09 { restrict( Y, X, Z ) = intersection( Y, cross_product( X, Z ) ) }.
% 0.69/1.09 { ! member( X, null_class ) }.
% 0.69/1.09 { ! member( Y, domain_of( X ) ), member( Y, universal_class ) }.
% 0.69/1.09 { ! member( Y, domain_of( X ) ), ! restrict( X, singleton( Y ),
% 0.69/1.09 universal_class ) = null_class }.
% 0.69/1.09 { ! member( Y, universal_class ), restrict( X, singleton( Y ),
% 0.69/1.09 universal_class ) = null_class, member( Y, domain_of( X ) ) }.
% 0.69/1.09 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ), member
% 0.69/1.09 ( ordered_pair( ordered_pair( Y, Z ), T ), cross_product( cross_product(
% 0.69/1.09 universal_class, universal_class ), universal_class ) ) }.
% 0.69/1.09 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ), member
% 0.69/1.09 ( ordered_pair( ordered_pair( Z, T ), Y ), X ) }.
% 0.69/1.09 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), cross_product(
% 0.69/1.09 cross_product( universal_class, universal_class ), universal_class ) ), !
% 0.69/1.09 member( ordered_pair( ordered_pair( Z, T ), Y ), X ), member(
% 0.69/1.09 ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ) }.
% 0.69/1.09 { subclass( rotate( X ), cross_product( cross_product( universal_class,
% 0.69/1.09 universal_class ), universal_class ) ) }.
% 0.69/1.09 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ), member(
% 0.69/1.09 ordered_pair( ordered_pair( X, Y ), Z ), cross_product( cross_product(
% 0.69/1.09 universal_class, universal_class ), universal_class ) ) }.
% 0.69/1.09 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ), member(
% 0.69/1.09 ordered_pair( ordered_pair( Y, X ), Z ), T ) }.
% 0.69/1.09 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), cross_product(
% 0.69/1.09 cross_product( universal_class, universal_class ), universal_class ) ), !
% 0.69/1.09 member( ordered_pair( ordered_pair( Y, X ), Z ), T ), member(
% 0.69/1.09 ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ) }.
% 0.69/1.09 { subclass( flip( X ), cross_product( cross_product( universal_class,
% 0.73/1.29 universal_class ), universal_class ) ) }.
% 0.73/1.29 { ! member( Z, union( X, Y ) ), member( Z, X ), member( Z, Y ) }.
% 0.73/1.29 { ! member( Z, X ), member( Z, union( X, Y ) ) }.
% 0.73/1.29 { ! member( Z, Y ), member( Z, union( X, Y ) ) }.
% 0.73/1.29 { successor( X ) = union( X, singleton( X ) ) }.
% 0.73/1.29 { subclass( successor_relation, cross_product( universal_class,
% 0.73/1.29 universal_class ) ) }.
% 0.73/1.29 { ! member( ordered_pair( X, Y ), successor_relation ), member( X,
% 0.73/1.29 universal_class ) }.
% 0.73/1.29 { ! member( ordered_pair( X, Y ), successor_relation ), alpha2( X, Y ) }.
% 0.73/1.29 { ! member( X, universal_class ), ! alpha2( X, Y ), member( ordered_pair( X
% 0.73/1.29 , Y ), successor_relation ) }.
% 0.73/1.29 { ! alpha2( X, Y ), member( Y, universal_class ) }.
% 0.73/1.29 { ! alpha2( X, Y ), successor( X ) = Y }.
% 0.73/1.29 { ! member( Y, universal_class ), ! successor( X ) = Y, alpha2( X, Y ) }.
% 0.73/1.29 { inverse( X ) = domain_of( flip( cross_product( X, universal_class ) ) ) }
% 0.73/1.29 .
% 0.73/1.29 { range_of( X ) = domain_of( inverse( X ) ) }.
% 0.73/1.29 { image( Y, X ) = range_of( restrict( Y, X, universal_class ) ) }.
% 0.73/1.29 { ! inductive( X ), member( null_class, X ) }.
% 0.73/1.29 { ! inductive( X ), subclass( image( successor_relation, X ), X ) }.
% 0.73/1.29 { ! member( null_class, X ), ! subclass( image( successor_relation, X ), X
% 0.73/1.29 ), inductive( X ) }.
% 0.73/1.29 { member( skol2, universal_class ) }.
% 0.73/1.29 { inductive( skol2 ) }.
% 0.73/1.29 { ! inductive( X ), subclass( skol2, X ) }.
% 0.73/1.29 { ! member( X, sum_class( Y ) ), member( skol3( Z, Y ), Y ) }.
% 0.73/1.29 { ! member( X, sum_class( Y ) ), member( X, skol3( X, Y ) ) }.
% 0.73/1.29 { ! member( X, Z ), ! member( Z, Y ), member( X, sum_class( Y ) ) }.
% 0.73/1.29 { ! member( X, universal_class ), member( sum_class( X ), universal_class )
% 0.73/1.29 }.
% 0.73/1.29 { ! member( X, power_class( Y ) ), member( X, universal_class ) }.
% 0.73/1.29 { ! member( X, power_class( Y ) ), subclass( X, Y ) }.
% 0.73/1.29 { ! member( X, universal_class ), ! subclass( X, Y ), member( X,
% 0.73/1.29 power_class( Y ) ) }.
% 0.73/1.29 { ! member( X, universal_class ), member( power_class( X ), universal_class
% 0.73/1.29 ) }.
% 0.73/1.29 { subclass( compose( Y, X ), cross_product( universal_class,
% 0.73/1.29 universal_class ) ) }.
% 0.73/1.29 { ! member( ordered_pair( Z, T ), compose( Y, X ) ), member( Z,
% 0.73/1.29 universal_class ) }.
% 0.73/1.29 { ! member( ordered_pair( Z, T ), compose( Y, X ) ), member( T, image( Y,
% 0.73/1.29 image( X, singleton( Z ) ) ) ) }.
% 0.73/1.29 { ! member( Z, universal_class ), ! member( T, image( Y, image( X,
% 0.73/1.29 singleton( Z ) ) ) ), member( ordered_pair( Z, T ), compose( Y, X ) ) }.
% 0.73/1.29 { ! member( X, identity_relation ), member( skol4( Y ), universal_class ) }
% 0.73/1.29 .
% 0.73/1.29 { ! member( X, identity_relation ), X = ordered_pair( skol4( X ), skol4( X
% 0.73/1.29 ) ) }.
% 0.73/1.29 { ! member( Y, universal_class ), ! X = ordered_pair( Y, Y ), member( X,
% 0.73/1.29 identity_relation ) }.
% 0.73/1.29 { ! function( X ), subclass( X, cross_product( universal_class,
% 0.73/1.29 universal_class ) ) }.
% 0.73/1.29 { ! function( X ), subclass( compose( X, inverse( X ) ), identity_relation
% 0.73/1.29 ) }.
% 0.73/1.29 { ! subclass( X, cross_product( universal_class, universal_class ) ), !
% 0.73/1.29 subclass( compose( X, inverse( X ) ), identity_relation ), function( X )
% 0.73/1.29 }.
% 0.73/1.29 { ! member( X, universal_class ), ! function( Y ), member( image( Y, X ),
% 0.73/1.29 universal_class ) }.
% 0.73/1.29 { ! disjoint( X, Y ), ! member( Z, X ), ! member( Z, Y ) }.
% 0.73/1.29 { member( skol5( Z, Y ), Y ), disjoint( X, Y ) }.
% 0.73/1.29 { member( skol5( X, Y ), X ), disjoint( X, Y ) }.
% 0.73/1.29 { X = null_class, member( skol6( Y ), universal_class ) }.
% 0.73/1.29 { X = null_class, member( skol6( X ), X ) }.
% 0.73/1.29 { X = null_class, disjoint( skol6( X ), X ) }.
% 0.73/1.29 { apply( X, Y ) = sum_class( image( X, singleton( Y ) ) ) }.
% 0.73/1.29 { function( skol7 ) }.
% 0.73/1.29 { ! member( X, universal_class ), X = null_class, member( apply( skol7, X )
% 0.73/1.29 , X ) }.
% 0.73/1.29 { ! member( X, universal_class ), ! skol8 = singleton( X ) }.
% 0.73/1.29 { member( skol9, universal_class ), ! X = skol8 }.
% 0.73/1.29 { skol8 = singleton( skol9 ), ! X = skol8 }.
% 0.73/1.29
% 0.73/1.29 percentage equality = 0.161616, percentage horn = 0.885417
% 0.73/1.29 This is a problem with some equality
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 Options Used:
% 0.73/1.29
% 0.73/1.29 useres = 1
% 0.73/1.29 useparamod = 1
% 0.73/1.29 useeqrefl = 1
% 0.73/1.29 useeqfact = 1
% 0.73/1.29 usefactor = 1
% 0.73/1.29 usesimpsplitting = 0
% 0.73/1.29 usesimpdemod = 5
% 0.73/1.29 usesimpres = 3
% 0.73/1.29
% 0.73/1.29 resimpinuse = 1000
% 0.73/1.29 resimpclauses = 20000
% 0.73/1.29 substype = eqrewr
% 0.73/1.29 backwardsubs = 1
% 0.73/1.29 selectoldest = 5
% 0.73/1.58
% 0.73/1.58 litorderings [0] = split
% 0.73/1.58 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.58
% 0.73/1.58 termordering = kbo
% 0.73/1.58
% 0.73/1.58 litapriori = 0
% 0.73/1.58 termapriori = 1
% 0.73/1.58 litaposteriori = 0
% 0.73/1.58 termaposteriori = 0
% 0.73/1.58 demodaposteriori = 0
% 0.73/1.58 ordereqreflfact = 0
% 0.73/1.58
% 0.73/1.58 litselect = negord
% 0.73/1.58
% 0.73/1.58 maxweight = 15
% 0.73/1.58 maxdepth = 30000
% 0.73/1.58 maxlength = 115
% 0.73/1.58 maxnrvars = 195
% 0.73/1.58 excuselevel = 1
% 0.73/1.58 increasemaxweight = 1
% 0.73/1.58
% 0.73/1.58 maxselected = 10000000
% 0.73/1.58 maxnrclauses = 10000000
% 0.73/1.58
% 0.73/1.58 showgenerated = 0
% 0.73/1.58 showkept = 0
% 0.73/1.58 showselected = 0
% 0.73/1.58 showdeleted = 0
% 0.73/1.58 showresimp = 1
% 0.73/1.58 showstatus = 2000
% 0.73/1.58
% 0.73/1.58 prologoutput = 0
% 0.73/1.58 nrgoals = 5000000
% 0.73/1.58 totalproof = 1
% 0.73/1.58
% 0.73/1.58 Symbols occurring in the translation:
% 0.73/1.58
% 0.73/1.58 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.58 . [1, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.73/1.58 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 0.73/1.58 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.58 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.58 subclass [37, 2] (w:1, o:69, a:1, s:1, b:0),
% 0.73/1.58 member [39, 2] (w:1, o:70, a:1, s:1, b:0),
% 0.73/1.58 universal_class [40, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.73/1.58 unordered_pair [41, 2] (w:1, o:71, a:1, s:1, b:0),
% 0.73/1.58 singleton [42, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.73/1.58 ordered_pair [43, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.73/1.58 cross_product [45, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.73/1.58 first [46, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.73/1.58 second [47, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.73/1.58 element_relation [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.73/1.58 intersection [50, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.73/1.58 complement [51, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.73/1.58 restrict [53, 3] (w:1, o:84, a:1, s:1, b:0),
% 0.73/1.58 null_class [54, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.73/1.58 domain_of [55, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.73/1.58 rotate [57, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.73/1.58 flip [58, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.73/1.58 union [59, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.73/1.58 successor [60, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.73/1.58 successor_relation [61, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.73/1.58 inverse [62, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.73/1.58 range_of [63, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.73/1.58 image [64, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.73/1.58 inductive [65, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.73/1.58 sum_class [66, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.73/1.58 power_class [67, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.73/1.58 compose [69, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.73/1.58 identity_relation [70, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.73/1.58 function [72, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.73/1.58 disjoint [73, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.73/1.58 apply [74, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.73/1.58 alpha1 [75, 3] (w:1, o:85, a:1, s:1, b:1),
% 0.73/1.58 alpha2 [76, 2] (w:1, o:80, a:1, s:1, b:1),
% 0.73/1.58 skol1 [77, 2] (w:1, o:81, a:1, s:1, b:1),
% 0.73/1.58 skol2 [78, 0] (w:1, o:20, a:1, s:1, b:1),
% 0.73/1.58 skol3 [79, 2] (w:1, o:82, a:1, s:1, b:1),
% 0.73/1.58 skol4 [80, 1] (w:1, o:43, a:1, s:1, b:1),
% 0.73/1.58 skol5 [81, 2] (w:1, o:83, a:1, s:1, b:1),
% 0.73/1.58 skol6 [82, 1] (w:1, o:44, a:1, s:1, b:1),
% 0.73/1.58 skol7 [83, 0] (w:1, o:21, a:1, s:1, b:1),
% 0.73/1.58 skol8 [84, 0] (w:1, o:22, a:1, s:1, b:1),
% 0.73/1.58 skol9 [85, 0] (w:1, o:23, a:1, s:1, b:1).
% 0.73/1.58
% 0.73/1.58
% 0.73/1.58 Starting Search:
% 0.73/1.58
% 0.73/1.58 *** allocated 15000 integers for clauses
% 0.73/1.58 *** allocated 22500 integers for clauses
% 0.73/1.58 *** allocated 33750 integers for clauses
% 0.73/1.58 *** allocated 15000 integers for termspace/termends
% 0.73/1.58 *** allocated 50625 integers for clauses
% 0.73/1.58 *** allocated 22500 integers for termspace/termends
% 0.73/1.58 Resimplifying inuse:
% 0.73/1.58 Done
% 0.73/1.58
% 0.73/1.58 *** allocated 75937 integers for clauses
% 0.73/1.58 *** allocated 33750 integers for termspace/termends
% 0.73/1.58 *** allocated 113905 integers for clauses
% 0.73/1.58
% 0.73/1.58 Intermediate Status:
% 0.73/1.58 Generated: 5124
% 0.73/1.58 Kept: 2041
% 0.73/1.58 Inuse: 123
% 0.73/1.58 Deleted: 5
% 0.73/1.58 Deletedinuse: 2
% 0.73/1.58
% 0.73/1.58 Resimplifying inuse:
% 0.73/1.58 Done
% 0.73/1.58
% 0.73/1.58 *** allocated 170857 integers for clauses
% 0.73/1.58 *** allocated 50625 integers for termspace/termends
% 0.73/1.58 Resimplifying inuse:
% 0.73/1.58 Done
% 0.73/1.58
% 0.73/1.58 *** allocated 75937 integers for termspace/termends
% 0.73/1.58 *** allocated 256285 integers for clauses
% 0.73/1.58
% 0.73/1.58 Intermediate Status:
% 0.73/1.58 Generated: 10023
% 0.73/1.58 Kept: 4058
% 0.73/1.58 Inuse: 197
% 0.73/1.58 Deleted: 49
% 0.73/1.58 Deletedinuse: 19
% 0.73/1.58
% 0.73/1.58 Resimplifying inuse:
% 0.73/1.58 Done
% 0.73/1.58
% 0.73/1.58 Resimplifying inuse:
% 0.73/1.58 Done
% 0.73/1.58
% 0.73/1.58 *** allocated 113905 integers for termspace/termends
% 0.73/1.58 *** allocated 384427 integers for clauses
% 0.73/1.58
% 0.73/1.58 Intermediate Status:
% 0.73/1.58 Generated: 13785
% 0.73/1.58 Kept: 6083
% 0.73/1.58 Inuse: 252
% 0.73/1.58 Deleted: 61
% 0.73/1.58 Deletedinuse: 22
% 0.73/1.58
% 0.73/1.58 Resimplifying inuse:
% 0.73/1.58 Done
% 0.73/1.58
% 0.73/1.58 Resimplifying inuse:
% 0.73/1.58 Done
% 0.73/1.58
% 0.73/1.58
% 0.73/1.58 Intermediate Status:
% 0.73/1.58 Generated: 17565
% 0.73/1.58 Kept: 8094
% 0.73/1.58 Inuse: 311
% 0.73/1.58 Deleted: 74
% 0.73/1.58 Deletedinuse: 29
% 0.73/1.58
% 0.73/1.58 *** allocated 576640 integers for clauses
% 0.73/1.58 Resimplifying inuse:
% 0.73/1.58 Done
% 0.73/1.58
% 0.73/1.58 *** allocated 170857 integers for termspace/termends
% 0.73/1.58 Resimplifying inuse:
% 0.73/1.58 Done
% 0.73/1.58
% 0.73/1.58
% 0.73/1.58 Intermediate Status:
% 0.73/1.58 Generated: 24427
% 0.73/1.58 Kept: 10238
% 0.73/1.58 Inuse: 357
% 0.73/1.58 Deleted: 82
% 0.73/1.58 Deletedinuse: 33
% 0.73/1.58
% 0.73/1.58 Resimplifying inuse:
% 0.73/1.58 Done
% 0.73/1.58
% 0.73/1.58
% 0.73/1.58 Bliksems!, er is een bewijs:
% 0.73/1.58 % SZS status Theorem
% 0.73/1.58 % SZS output start Refutation
% 0.73/1.58
% 0.73/1.58 (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X ), member( Z
% 0.73/1.58 , Y ) }.
% 0.73/1.58 (3) {G0,W3,D2,L1,V1,M1} I { subclass( X, universal_class ) }.
% 0.73/1.58 (92) {G0,W7,D3,L2,V1,M2} I { ! member( X, universal_class ), ! singleton( X
% 0.73/1.58 ) ==> skol8 }.
% 0.73/1.58 (93) {G0,W6,D2,L2,V1,M2} I { member( skol9, universal_class ), ! X = skol8
% 0.73/1.58 }.
% 0.73/1.58 (94) {G0,W7,D3,L2,V1,M2} I { singleton( skol9 ) ==> skol8, ! X = skol8 }.
% 0.73/1.58 (113) {G1,W3,D2,L1,V0,M1} Q(93) { member( skol9, universal_class ) }.
% 0.73/1.58 (114) {G1,W4,D3,L1,V0,M1} Q(94) { singleton( skol9 ) ==> skol8 }.
% 0.73/1.58 (118) {G2,W6,D2,L2,V1,M2} R(113,0) { ! subclass( universal_class, X ),
% 0.73/1.58 member( skol9, X ) }.
% 0.73/1.58 (10349) {G3,W0,D0,L0,V0,M0} R(92,118);d(114);q;r(3) { }.
% 0.73/1.58
% 0.73/1.58
% 0.73/1.58 % SZS output end Refutation
% 0.73/1.58 found a proof!
% 0.73/1.58
% 0.73/1.58
% 0.73/1.58 Unprocessed initial clauses:
% 0.73/1.58
% 0.73/1.58 (10351) {G0,W9,D2,L3,V3,M3} { ! subclass( X, Y ), ! member( Z, X ), member
% 0.73/1.58 ( Z, Y ) }.
% 0.73/1.58 (10352) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ), subclass( X, Y
% 0.73/1.58 ) }.
% 0.73/1.58 (10353) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subclass( X, Y )
% 0.73/1.58 }.
% 0.73/1.58 (10354) {G0,W3,D2,L1,V1,M1} { subclass( X, universal_class ) }.
% 0.73/1.58 (10355) {G0,W6,D2,L2,V2,M2} { ! X = Y, subclass( X, Y ) }.
% 0.73/1.58 (10356) {G0,W6,D2,L2,V2,M2} { ! X = Y, subclass( Y, X ) }.
% 0.73/1.58 (10357) {G0,W9,D2,L3,V2,M3} { ! subclass( X, Y ), ! subclass( Y, X ), X =
% 0.73/1.58 Y }.
% 0.73/1.58 (10358) {G0,W8,D3,L2,V3,M2} { ! member( X, unordered_pair( Y, Z ) ),
% 0.73/1.58 member( X, universal_class ) }.
% 0.73/1.58 (10359) {G0,W9,D3,L2,V3,M2} { ! member( X, unordered_pair( Y, Z ) ),
% 0.73/1.58 alpha1( X, Y, Z ) }.
% 0.73/1.58 (10360) {G0,W12,D3,L3,V3,M3} { ! member( X, universal_class ), ! alpha1( X
% 0.73/1.58 , Y, Z ), member( X, unordered_pair( Y, Z ) ) }.
% 0.73/1.58 (10361) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), X = Y, X = Z }.
% 0.73/1.58 (10362) {G0,W7,D2,L2,V3,M2} { ! X = Y, alpha1( X, Y, Z ) }.
% 0.73/1.58 (10363) {G0,W7,D2,L2,V3,M2} { ! X = Z, alpha1( X, Y, Z ) }.
% 0.73/1.58 (10364) {G0,W5,D3,L1,V2,M1} { member( unordered_pair( X, Y ),
% 0.73/1.58 universal_class ) }.
% 0.73/1.58 (10365) {G0,W6,D3,L1,V1,M1} { singleton( X ) = unordered_pair( X, X ) }.
% 0.73/1.58 (10366) {G0,W11,D5,L1,V2,M1} { ordered_pair( X, Y ) = unordered_pair(
% 0.73/1.58 singleton( X ), unordered_pair( X, singleton( Y ) ) ) }.
% 0.73/1.58 (10367) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( X, Y ),
% 0.73/1.58 cross_product( Z, T ) ), member( X, Z ) }.
% 0.73/1.58 (10368) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( X, Y ),
% 0.73/1.58 cross_product( Z, T ) ), member( Y, T ) }.
% 0.73/1.58 (10369) {G0,W13,D3,L3,V4,M3} { ! member( X, Z ), ! member( Y, T ), member
% 0.73/1.58 ( ordered_pair( X, Y ), cross_product( Z, T ) ) }.
% 0.73/1.58 (10370) {G0,W12,D4,L3,V2,M3} { ! member( X, universal_class ), ! member( Y
% 0.73/1.58 , universal_class ), first( ordered_pair( X, Y ) ) = X }.
% 0.73/1.58 (10371) {G0,W12,D4,L3,V2,M3} { ! member( X, universal_class ), ! member( Y
% 0.73/1.58 , universal_class ), second( ordered_pair( X, Y ) ) = Y }.
% 0.73/1.58 (10372) {G0,W12,D4,L2,V3,M2} { ! member( X, cross_product( Y, Z ) ), X =
% 0.73/1.58 ordered_pair( first( X ), second( X ) ) }.
% 0.73/1.58 (10373) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 0.73/1.58 element_relation ), member( Y, universal_class ) }.
% 0.73/1.58 (10374) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 0.73/1.58 element_relation ), member( X, Y ) }.
% 0.73/1.58 (10375) {G0,W11,D3,L3,V2,M3} { ! member( Y, universal_class ), ! member( X
% 0.73/1.58 , Y ), member( ordered_pair( X, Y ), element_relation ) }.
% 0.73/1.58 (10376) {G0,W5,D3,L1,V0,M1} { subclass( element_relation, cross_product(
% 0.73/1.58 universal_class, universal_class ) ) }.
% 0.73/1.58 (10377) {G0,W8,D3,L2,V3,M2} { ! member( Z, intersection( X, Y ) ), member
% 0.73/1.58 ( Z, X ) }.
% 0.73/1.58 (10378) {G0,W8,D3,L2,V3,M2} { ! member( Z, intersection( X, Y ) ), member
% 0.73/1.58 ( Z, Y ) }.
% 0.73/1.58 (10379) {G0,W11,D3,L3,V3,M3} { ! member( Z, X ), ! member( Z, Y ), member
% 0.73/1.58 ( Z, intersection( X, Y ) ) }.
% 0.73/1.58 (10380) {G0,W7,D3,L2,V2,M2} { ! member( Y, complement( X ) ), member( Y,
% 0.73/1.58 universal_class ) }.
% 0.73/1.58 (10381) {G0,W7,D3,L2,V2,M2} { ! member( Y, complement( X ) ), ! member( Y
% 0.73/1.58 , X ) }.
% 0.73/1.58 (10382) {G0,W10,D3,L3,V2,M3} { ! member( Y, universal_class ), member( Y,
% 0.73/1.58 X ), member( Y, complement( X ) ) }.
% 0.73/1.58 (10383) {G0,W10,D4,L1,V3,M1} { restrict( Y, X, Z ) = intersection( Y,
% 0.73/1.58 cross_product( X, Z ) ) }.
% 0.73/1.58 (10384) {G0,W3,D2,L1,V1,M1} { ! member( X, null_class ) }.
% 0.73/1.58 (10385) {G0,W7,D3,L2,V2,M2} { ! member( Y, domain_of( X ) ), member( Y,
% 0.73/1.58 universal_class ) }.
% 0.73/1.58 (10386) {G0,W11,D4,L2,V2,M2} { ! member( Y, domain_of( X ) ), ! restrict(
% 0.73/1.58 X, singleton( Y ), universal_class ) = null_class }.
% 0.73/1.58 (10387) {G0,W14,D4,L3,V2,M3} { ! member( Y, universal_class ), restrict( X
% 0.73/1.58 , singleton( Y ), universal_class ) = null_class, member( Y, domain_of( X
% 0.73/1.58 ) ) }.
% 0.73/1.58 (10388) {G0,W19,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( Y, Z
% 0.73/1.58 ), T ), rotate( X ) ), member( ordered_pair( ordered_pair( Y, Z ), T ),
% 0.73/1.58 cross_product( cross_product( universal_class, universal_class ),
% 0.73/1.58 universal_class ) ) }.
% 0.73/1.58 (10389) {G0,W15,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( Y, Z
% 0.73/1.58 ), T ), rotate( X ) ), member( ordered_pair( ordered_pair( Z, T ), Y ),
% 0.73/1.58 X ) }.
% 0.73/1.58 (10390) {G0,W26,D4,L3,V4,M3} { ! member( ordered_pair( ordered_pair( Y, Z
% 0.73/1.58 ), T ), cross_product( cross_product( universal_class, universal_class )
% 0.73/1.58 , universal_class ) ), ! member( ordered_pair( ordered_pair( Z, T ), Y )
% 0.73/1.58 , X ), member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ) }.
% 0.73/1.58 (10391) {G0,W8,D4,L1,V1,M1} { subclass( rotate( X ), cross_product(
% 0.73/1.58 cross_product( universal_class, universal_class ), universal_class ) )
% 0.73/1.58 }.
% 0.73/1.58 (10392) {G0,W19,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( X, Y
% 0.73/1.58 ), Z ), flip( T ) ), member( ordered_pair( ordered_pair( X, Y ), Z ),
% 0.73/1.58 cross_product( cross_product( universal_class, universal_class ),
% 0.73/1.58 universal_class ) ) }.
% 0.73/1.58 (10393) {G0,W15,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( X, Y
% 0.73/1.58 ), Z ), flip( T ) ), member( ordered_pair( ordered_pair( Y, X ), Z ), T
% 0.73/1.58 ) }.
% 0.73/1.58 (10394) {G0,W26,D4,L3,V4,M3} { ! member( ordered_pair( ordered_pair( X, Y
% 0.73/1.58 ), Z ), cross_product( cross_product( universal_class, universal_class )
% 0.73/1.58 , universal_class ) ), ! member( ordered_pair( ordered_pair( Y, X ), Z )
% 0.73/1.58 , T ), member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ) }.
% 0.73/1.58 (10395) {G0,W8,D4,L1,V1,M1} { subclass( flip( X ), cross_product(
% 0.73/1.58 cross_product( universal_class, universal_class ), universal_class ) )
% 0.73/1.58 }.
% 0.73/1.58 (10396) {G0,W11,D3,L3,V3,M3} { ! member( Z, union( X, Y ) ), member( Z, X
% 0.73/1.58 ), member( Z, Y ) }.
% 0.73/1.58 (10397) {G0,W8,D3,L2,V3,M2} { ! member( Z, X ), member( Z, union( X, Y ) )
% 0.73/1.58 }.
% 0.73/1.58 (10398) {G0,W8,D3,L2,V3,M2} { ! member( Z, Y ), member( Z, union( X, Y ) )
% 0.73/1.58 }.
% 0.73/1.58 (10399) {G0,W7,D4,L1,V1,M1} { successor( X ) = union( X, singleton( X ) )
% 0.73/1.58 }.
% 0.73/1.58 (10400) {G0,W5,D3,L1,V0,M1} { subclass( successor_relation, cross_product
% 0.73/1.58 ( universal_class, universal_class ) ) }.
% 0.73/1.58 (10401) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 0.73/1.58 successor_relation ), member( X, universal_class ) }.
% 0.73/1.58 (10402) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 0.73/1.58 successor_relation ), alpha2( X, Y ) }.
% 0.73/1.58 (10403) {G0,W11,D3,L3,V2,M3} { ! member( X, universal_class ), ! alpha2( X
% 0.73/1.58 , Y ), member( ordered_pair( X, Y ), successor_relation ) }.
% 0.73/1.58 (10404) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), member( Y, universal_class
% 0.73/1.58 ) }.
% 0.73/1.58 (10405) {G0,W7,D3,L2,V2,M2} { ! alpha2( X, Y ), successor( X ) = Y }.
% 0.73/1.58 (10406) {G0,W10,D3,L3,V2,M3} { ! member( Y, universal_class ), ! successor
% 0.73/1.58 ( X ) = Y, alpha2( X, Y ) }.
% 0.73/1.58 (10407) {G0,W8,D5,L1,V1,M1} { inverse( X ) = domain_of( flip(
% 0.73/1.58 cross_product( X, universal_class ) ) ) }.
% 0.73/1.58 (10408) {G0,W6,D4,L1,V1,M1} { range_of( X ) = domain_of( inverse( X ) )
% 0.73/1.58 }.
% 0.73/1.58 (10409) {G0,W9,D4,L1,V2,M1} { image( Y, X ) = range_of( restrict( Y, X,
% 0.73/1.58 universal_class ) ) }.
% 0.73/1.58 (10410) {G0,W5,D2,L2,V1,M2} { ! inductive( X ), member( null_class, X )
% 0.73/1.58 }.
% 0.73/1.58 (10411) {G0,W7,D3,L2,V1,M2} { ! inductive( X ), subclass( image(
% 0.73/1.58 successor_relation, X ), X ) }.
% 0.73/1.58 (10412) {G0,W10,D3,L3,V1,M3} { ! member( null_class, X ), ! subclass(
% 0.73/1.58 image( successor_relation, X ), X ), inductive( X ) }.
% 0.73/1.58 (10413) {G0,W3,D2,L1,V0,M1} { member( skol2, universal_class ) }.
% 0.73/1.58 (10414) {G0,W2,D2,L1,V0,M1} { inductive( skol2 ) }.
% 0.73/1.58 (10415) {G0,W5,D2,L2,V1,M2} { ! inductive( X ), subclass( skol2, X ) }.
% 0.73/1.58 (10416) {G0,W9,D3,L2,V3,M2} { ! member( X, sum_class( Y ) ), member( skol3
% 0.73/1.58 ( Z, Y ), Y ) }.
% 0.73/1.58 (10417) {G0,W9,D3,L2,V2,M2} { ! member( X, sum_class( Y ) ), member( X,
% 0.73/1.58 skol3( X, Y ) ) }.
% 0.73/1.58 (10418) {G0,W10,D3,L3,V3,M3} { ! member( X, Z ), ! member( Z, Y ), member
% 0.73/1.58 ( X, sum_class( Y ) ) }.
% 0.73/1.58 (10419) {G0,W7,D3,L2,V1,M2} { ! member( X, universal_class ), member(
% 0.73/1.58 sum_class( X ), universal_class ) }.
% 0.73/1.58 (10420) {G0,W7,D3,L2,V2,M2} { ! member( X, power_class( Y ) ), member( X,
% 0.73/1.58 universal_class ) }.
% 0.73/1.58 (10421) {G0,W7,D3,L2,V2,M2} { ! member( X, power_class( Y ) ), subclass( X
% 0.73/1.58 , Y ) }.
% 0.73/1.58 (10422) {G0,W10,D3,L3,V2,M3} { ! member( X, universal_class ), ! subclass
% 0.73/1.58 ( X, Y ), member( X, power_class( Y ) ) }.
% 0.73/1.58 (10423) {G0,W7,D3,L2,V1,M2} { ! member( X, universal_class ), member(
% 0.73/1.58 power_class( X ), universal_class ) }.
% 0.73/1.58 (10424) {G0,W7,D3,L1,V2,M1} { subclass( compose( Y, X ), cross_product(
% 0.73/1.58 universal_class, universal_class ) ) }.
% 0.73/1.58 (10425) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( Z, T ), compose( Y
% 0.73/1.58 , X ) ), member( Z, universal_class ) }.
% 0.73/1.58 (10426) {G0,W15,D5,L2,V4,M2} { ! member( ordered_pair( Z, T ), compose( Y
% 0.73/1.58 , X ) ), member( T, image( Y, image( X, singleton( Z ) ) ) ) }.
% 0.73/1.58 (10427) {G0,W18,D5,L3,V4,M3} { ! member( Z, universal_class ), ! member( T
% 0.73/1.58 , image( Y, image( X, singleton( Z ) ) ) ), member( ordered_pair( Z, T )
% 0.73/1.58 , compose( Y, X ) ) }.
% 0.73/1.58 (10428) {G0,W7,D3,L2,V2,M2} { ! member( X, identity_relation ), member(
% 0.73/1.58 skol4( Y ), universal_class ) }.
% 0.73/1.58 (10429) {G0,W10,D4,L2,V1,M2} { ! member( X, identity_relation ), X =
% 0.73/1.58 ordered_pair( skol4( X ), skol4( X ) ) }.
% 0.73/1.58 (10430) {G0,W11,D3,L3,V2,M3} { ! member( Y, universal_class ), ! X =
% 0.73/1.58 ordered_pair( Y, Y ), member( X, identity_relation ) }.
% 0.73/1.58 (10431) {G0,W7,D3,L2,V1,M2} { ! function( X ), subclass( X, cross_product
% 0.73/1.58 ( universal_class, universal_class ) ) }.
% 0.73/1.58 (10432) {G0,W8,D4,L2,V1,M2} { ! function( X ), subclass( compose( X,
% 0.73/1.58 inverse( X ) ), identity_relation ) }.
% 0.73/1.58 (10433) {G0,W13,D4,L3,V1,M3} { ! subclass( X, cross_product(
% 0.73/1.58 universal_class, universal_class ) ), ! subclass( compose( X, inverse( X
% 0.73/1.58 ) ), identity_relation ), function( X ) }.
% 0.73/1.58 (10434) {G0,W10,D3,L3,V2,M3} { ! member( X, universal_class ), ! function
% 0.73/1.58 ( Y ), member( image( Y, X ), universal_class ) }.
% 0.73/1.58 (10435) {G0,W9,D2,L3,V3,M3} { ! disjoint( X, Y ), ! member( Z, X ), !
% 0.73/1.58 member( Z, Y ) }.
% 0.73/1.58 (10436) {G0,W8,D3,L2,V3,M2} { member( skol5( Z, Y ), Y ), disjoint( X, Y )
% 0.73/1.58 }.
% 0.73/1.58 (10437) {G0,W8,D3,L2,V2,M2} { member( skol5( X, Y ), X ), disjoint( X, Y )
% 0.73/1.58 }.
% 0.73/1.58 (10438) {G0,W7,D3,L2,V2,M2} { X = null_class, member( skol6( Y ),
% 0.73/1.58 universal_class ) }.
% 0.73/1.58 (10439) {G0,W7,D3,L2,V1,M2} { X = null_class, member( skol6( X ), X ) }.
% 0.73/1.58 (10440) {G0,W7,D3,L2,V1,M2} { X = null_class, disjoint( skol6( X ), X )
% 0.73/1.58 }.
% 0.73/1.58 (10441) {G0,W9,D5,L1,V2,M1} { apply( X, Y ) = sum_class( image( X,
% 0.73/1.58 singleton( Y ) ) ) }.
% 0.73/1.58 (10442) {G0,W2,D2,L1,V0,M1} { function( skol7 ) }.
% 0.73/1.58 (10443) {G0,W11,D3,L3,V1,M3} { ! member( X, universal_class ), X =
% 0.73/1.58 null_class, member( apply( skol7, X ), X ) }.
% 0.73/1.58 (10444) {G0,W7,D3,L2,V1,M2} { ! member( X, universal_class ), ! skol8 =
% 0.73/1.58 singleton( X ) }.
% 0.73/1.58 (10445) {G0,W6,D2,L2,V1,M2} { member( skol9, universal_class ), ! X =
% 0.73/1.58 skol8 }.
% 0.73/1.58 (10446) {G0,W7,D3,L2,V1,M2} { skol8 = singleton( skol9 ), ! X = skol8 }.
% 0.73/1.58
% 0.73/1.58
% 0.73/1.58 Total Proof:
% 0.73/1.58
% 0.73/1.58 subsumption: (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X
% 0.73/1.58 ), member( Z, Y ) }.
% 0.73/1.58 parent0: (10351) {G0,W9,D2,L3,V3,M3} { ! subclass( X, Y ), ! member( Z, X
% 0.73/1.58 ), member( Z, Y ) }.
% 0.73/1.58 substitution0:
% 0.73/1.58 X := X
% 0.73/1.58 Y := Y
% 0.73/1.58 Z := Z
% 0.73/1.58 end
% 0.73/1.58 permutation0:
% 0.73/1.58 0 ==> 0
% 0.73/1.58 1 ==> 1
% 0.73/1.58 2 ==> 2
% 0.73/1.58 end
% 0.73/1.58
% 0.73/1.58 subsumption: (3) {G0,W3,D2,L1,V1,M1} I { subclass( X, universal_class ) }.
% 0.73/1.58 parent0: (10354) {G0,W3,D2,L1,V1,M1} { subclass( X, universal_class ) }.
% 0.73/1.58 substitution0:
% 0.73/1.58 X := X
% 0.73/1.58 end
% 0.73/1.58 permutation0:
% 0.73/1.58 0 ==> 0
% 0.73/1.58 end
% 0.73/1.58
% 0.73/1.58 eqswap: (10490) {G0,W7,D3,L2,V1,M2} { ! singleton( X ) = skol8, ! member(
% 0.73/1.58 X, universal_class ) }.
% 0.73/1.58 parent0[1]: (10444) {G0,W7,D3,L2,V1,M2} { ! member( X, universal_class ),
% 0.73/1.58 ! skol8 = singleton( X ) }.
% 0.73/1.58 substitution0:
% 0.73/1.58 X := X
% 0.73/1.58 end
% 0.73/1.58
% 0.73/1.58 subsumption: (92) {G0,W7,D3,L2,V1,M2} I { ! member( X, universal_class ), !
% 0.73/1.58 singleton( X ) ==> skol8 }.
% 0.73/1.58 parent0: (10490) {G0,W7,D3,L2,V1,M2} { ! singleton( X ) = skol8, ! member
% 0.73/1.58 ( X, universal_class ) }.
% 0.73/1.58 substitution0:
% 0.73/1.58 X := X
% 0.73/1.58 end
% 0.73/1.58 permutation0:
% 0.73/1.58 0 ==> 1
% 0.73/1.58 1 ==> 0
% 0.73/1.58 end
% 0.73/1.58
% 0.73/1.58 subsumption: (93) {G0,W6,D2,L2,V1,M2} I { member( skol9, universal_class )
% 0.73/1.58 , ! X = skol8 }.
% 0.73/1.58 parent0: (10445) {G0,W6,D2,L2,V1,M2} { member( skol9, universal_class ), !
% 0.73/1.58 X = skol8 }.
% 0.73/1.58 substitution0:
% 0.73/1.58 X := X
% 0.73/1.58 end
% 0.73/1.58 permutation0:
% 0.73/1.58 0 ==> 0
% 0.73/1.58 1 ==> 1
% 0.73/1.58 end
% 0.73/1.58
% 0.73/1.58 eqswap: (10581) {G0,W7,D3,L2,V1,M2} { singleton( skol9 ) = skol8, ! X =
% 0.73/1.58 skol8 }.
% 0.73/1.58 parent0[0]: (10446) {G0,W7,D3,L2,V1,M2} { skol8 = singleton( skol9 ), ! X
% 0.73/1.58 = skol8 }.
% 0.73/1.58 substitution0:
% 0.73/1.58 X := X
% 0.73/1.58 end
% 0.73/1.58
% 0.73/1.58 subsumption: (94) {G0,W7,D3,L2,V1,M2} I { singleton( skol9 ) ==> skol8, ! X
% 0.73/1.58 = skol8 }.
% 0.73/1.58 parent0: (10581) {G0,W7,D3,L2,V1,M2} { singleton( skol9 ) = skol8, ! X =
% 0.73/1.58 skol8 }.
% 0.73/1.58 substitution0:
% 0.73/1.58 X := X
% 0.73/1.58 end
% 0.73/1.58 permutation0:
% 0.73/1.58 0 ==> 0
% 0.73/1.58 1 ==> 1
% 0.73/1.58 end
% 0.73/1.58
% 0.73/1.58 eqswap: (10584) {G0,W6,D2,L2,V1,M2} { ! skol8 = X, member( skol9,
% 0.73/1.58 universal_class ) }.
% 0.73/1.58 parent0[1]: (93) {G0,W6,D2,L2,V1,M2} I { member( skol9, universal_class ),
% 0.73/1.58 ! X = skol8 }.
% 0.73/1.58 substitution0:
% 0.73/1.58 X := X
% 0.73/1.58 end
% 0.73/1.58
% 0.73/1.58 eqrefl: (10585) {G0,W3,D2,L1,V0,M1} { member( skol9, universal_class ) }.
% 0.73/1.58 parent0[0]: (10584) {G0,W6,D2,L2,V1,M2} { ! skol8 = X, member( skol9,
% 0.73/1.58 universal_class ) }.
% 0.73/1.58 substitution0:
% 0.73/1.58 X := skol8
% 0.73/1.58 end
% 0.73/1.58
% 0.73/1.58 subsumption: (113) {G1,W3,D2,L1,V0,M1} Q(93) { member( skol9,
% 0.73/1.58 universal_class ) }.
% 0.73/1.58 parent0: (10585) {G0,W3,D2,L1,V0,M1} { member( skol9, universal_class )
% 0.73/1.58 }.
% 0.73/1.58 substitution0:
% 0.73/1.58 end
% 0.73/1.58 permutation0:
% 0.73/1.58 0 ==> 0
% 0.73/1.58 end
% 0.73/1.58
% 0.73/1.58 eqswap: (10586) {G0,W7,D3,L2,V1,M2} { skol8 ==> singleton( skol9 ), ! X =
% 0.73/1.58 skol8 }.
% 0.73/1.58 parent0[0]: (94) {G0,W7,D3,L2,V1,M2} I { singleton( skol9 ) ==> skol8, ! X
% 0.73/1.58 = skol8 }.
% 0.73/1.58 substitution0:
% 0.73/1.58 X := X
% 0.73/1.58 end
% 0.73/1.58
% 0.73/1.58 eqrefl: (10589) {G0,W4,D3,L1,V0,M1} { skol8 ==> singleton( skol9 ) }.
% 0.73/1.58 parent0[1]: (10586) {G0,W7,D3,L2,V1,M2} { skol8 ==> singleton( skol9 ), !
% 0.73/1.58 X = skol8 }.
% 0.73/1.58 substitution0:
% 0.73/1.58 X := skol8
% 0.73/1.58 end
% 0.73/1.58
% 0.73/1.58 eqswap: (10590) {G0,W4,D3,L1,V0,M1} { singleton( skol9 ) ==> skol8 }.
% 0.73/1.58 parent0[0]: (10589) {G0,W4,D3,L1,V0,M1} { skol8 ==> singleton( skol9 ) }.
% 0.73/1.58 substitution0:
% 0.73/1.58 end
% 0.73/1.58
% 0.73/1.58 subsumption: (114) {G1,W4,D3,L1,V0,M1} Q(94) { singleton( skol9 ) ==> skol8
% 0.73/1.58 }.
% 0.73/1.58 parent0: (10590) {G0,W4,D3,L1,V0,M1} { singleton( skol9 ) ==> skol8 }.
% 0.73/1.58 substitution0:
% 0.73/1.58 end
% 0.73/1.58 permutation0:
% 0.73/1.58 0 ==> 0
% 0.73/1.58 end
% 0.73/1.58
% 0.73/1.58 resolution: (10591) {G1,W6,D2,L2,V1,M2} { ! subclass( universal_class, X )
% 0.73/1.58 , member( skol9, X ) }.
% 0.73/1.58 parent0[1]: (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X
% 0.73/1.58 ), member( Z, Y ) }.
% 0.73/1.58 parent1[0]: (113) {G1,W3,D2,L1,V0,M1} Q(93) { member( skol9,
% 0.73/1.58 universal_class ) }.
% 0.73/1.58 substitution0:
% 0.73/1.58 X := universal_class
% 0.73/1.58 Y := X
% 0.73/1.58 Z := skol9
% 0.73/1.58 end
% 0.73/1.58 substitution1:
% 0.73/1.58 end
% 0.73/1.58
% 0.73/1.58 subsumption: (118) {G2,W6,D2,L2,V1,M2} R(113,0) { ! subclass(
% 0.73/1.58 universal_class, X ), member( skol9, X ) }.
% 0.73/1.58 parent0: (10591) {G1,W6,D2,L2,V1,M2} { ! subclass( universal_class, X ),
% 0.73/1.58 member( skol9, X ) }.
% 0.73/1.58 substitution0:
% 0.73/1.58 X := X
% 0.73/1.58 end
% 0.73/1.58 permutation0:
% 0.73/1.58 0 ==> 0
% 0.73/1.58 1 ==> 1
% 0.73/1.58 end
% 0.73/1.58
% 0.73/1.58 eqswap: (10592) {G0,W7,D3,L2,V1,M2} { ! skol8 ==> singleton( X ), ! member
% 0.73/1.58 ( X, universal_class ) }.
% 0.73/1.58 parent0[1]: (92) {G0,W7,D3,L2,V1,M2} I { ! member( X, universal_class ), !
% 0.73/1.58 singleton( X ) ==> skol8 }.
% 0.73/1.58 substitution0:
% 0.73/1.58 X := X
% 0.73/1.58 end
% 0.73/1.58
% 0.73/1.58 resolution: (10594) {G1,W7,D3,L2,V0,M2} { ! skol8 ==> singleton( skol9 ),
% 0.73/1.58 ! subclass( universal_class, universal_class ) }.
% 0.73/1.58 parent0[1]: (10592) {G0,W7,D3,L2,V1,M2} { ! skol8 ==> singleton( X ), !
% 0.73/1.58 member( X, universal_class ) }.
% 0.73/1.58 parent1[1]: (118) {G2,W6,D2,L2,V1,M2} R(113,0) { ! subclass(
% 0.73/1.58 universal_class, X ), member( skol9, X ) }.
% 0.73/1.58 substitution0:
% 0.73/1.58 X := skol9
% 0.73/1.58 end
% 0.73/1.58 substitution1:
% 0.73/1.58 X := universal_class
% 0.73/1.58 end
% 0.73/1.58
% 0.73/1.58 paramod: (10595) {G2,W6,D2,L2,V0,M2} { ! skol8 ==> skol8, ! subclass(
% 0.73/1.58 universal_class, universal_class ) }.
% 0.73/1.58 parent0[0]: (114) {G1,W4,D3,L1,V0,M1} Q(94) { singleton( skol9 ) ==> skol8
% 0.73/1.58 }.
% 0.73/1.58 parent1[0; 3]: (10594) {G1,W7,D3,L2,V0,M2} { ! skol8 ==> singleton( skol9
% 0.73/1.58 ), ! subclass( universal_class, universal_class ) }.
% 0.73/1.58 substitution0:
% 0.73/1.58 end
% 0.73/1.58 substitution1:
% 0.73/1.58 end
% 0.73/1.58
% 0.73/1.58 eqrefl: (10596) {G0,W3,D2,L1,V0,M1} { ! subclass( universal_class,
% 0.73/1.58 universal_class ) }.
% 0.73/1.58 parent0[0]: (10595) {G2,W6,D2,L2,V0,M2} { ! skol8 ==> skol8, ! subclass(
% 0.73/1.58 universal_class, universal_class ) }.
% 0.73/1.58 substitution0:
% 0.73/1.58 end
% 0.73/1.58
% 0.73/1.58 resolution: (10597) {G1,W0,D0,L0,V0,M0} { }.
% 0.73/1.58 parent0[0]: (10596) {G0,W3,D2,L1,V0,M1} { ! subclass( universal_class,
% 0.73/1.58 universal_class ) }.
% 0.73/1.58 parent1[0]: (3) {G0,W3,D2,L1,V1,M1} I { subclass( X, universal_class ) }.
% 0.73/1.58 substitution0:
% 0.73/1.58 end
% 0.73/1.58 substitution1:
% 0.73/1.58 X := universal_class
% 0.73/1.58 end
% 0.73/1.58
% 0.73/1.58 subsumption: (10349) {G3,W0,D0,L0,V0,M0} R(92,118);d(114);q;r(3) { }.
% 0.73/1.58 parent0: (10597) {G1,W0,D0,L0,V0,M0} { }.
% 0.73/1.58 substitution0:
% 0.73/1.58 end
% 0.73/1.58 permutation0:
% 0.73/1.58 end
% 0.73/1.58
% 0.73/1.58 Proof check complete!
% 0.73/1.58
% 0.73/1.58 Memory use:
% 0.73/1.58
% 0.73/1.58 space for terms: 139290
% 0.73/1.58 space for clauses: 492797
% 0.73/1.58
% 0.73/1.58
% 0.73/1.58 clauses generated: 24649
% 0.73/1.58 clauses kept: 10350
% 0.73/1.58 clauses selected: 362
% 0.73/1.58 clauses deleted: 85
% 0.73/1.58 clauses inuse deleted: 36
% 0.73/1.58
% 0.73/1.58 subsentry: 55754
% 0.73/1.58 literals s-matched: 40441
% 0.73/1.58 literals matched: 40035
% 0.73/1.58 full subsumption: 15258
% 0.73/1.58
% 0.73/1.58 checksum: -292952524
% 0.73/1.58
% 0.73/1.58
% 0.73/1.58 Bliksem ended
%------------------------------------------------------------------------------