TSTP Solution File: SET027+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET027+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 22:45:43 EDT 2022
% Result : Theorem 1.53s 1.95s
% Output : Refutation 1.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET027+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jul 10 20:03:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.11 *** allocated 10000 integers for termspace/termends
% 0.42/1.11 *** allocated 10000 integers for clauses
% 0.42/1.11 *** allocated 10000 integers for justifications
% 0.42/1.11 Bliksem 1.12
% 0.42/1.11
% 0.42/1.11
% 0.42/1.11 Automatic Strategy Selection
% 0.42/1.11
% 0.42/1.11
% 0.42/1.11 Clauses:
% 0.42/1.11
% 0.42/1.11 { ! subclass( X, Y ), ! member( Z, X ), member( Z, Y ) }.
% 0.42/1.11 { ! member( skol1( Z, Y ), Y ), subclass( X, Y ) }.
% 0.42/1.11 { member( skol1( X, Y ), X ), subclass( X, Y ) }.
% 0.42/1.11 { subclass( X, universal_class ) }.
% 0.42/1.11 { ! X = Y, subclass( X, Y ) }.
% 0.42/1.11 { ! X = Y, subclass( Y, X ) }.
% 0.42/1.11 { ! subclass( X, Y ), ! subclass( Y, X ), X = Y }.
% 0.42/1.11 { ! member( X, unordered_pair( Y, Z ) ), member( X, universal_class ) }.
% 0.42/1.11 { ! member( X, unordered_pair( Y, Z ) ), alpha1( X, Y, Z ) }.
% 0.42/1.11 { ! member( X, universal_class ), ! alpha1( X, Y, Z ), member( X,
% 0.42/1.11 unordered_pair( Y, Z ) ) }.
% 0.42/1.11 { ! alpha1( X, Y, Z ), X = Y, X = Z }.
% 0.42/1.11 { ! X = Y, alpha1( X, Y, Z ) }.
% 0.42/1.11 { ! X = Z, alpha1( X, Y, Z ) }.
% 0.42/1.11 { member( unordered_pair( X, Y ), universal_class ) }.
% 0.42/1.11 { singleton( X ) = unordered_pair( X, X ) }.
% 0.42/1.11 { ordered_pair( X, Y ) = unordered_pair( singleton( X ), unordered_pair( X
% 0.42/1.11 , singleton( Y ) ) ) }.
% 0.42/1.11 { ! member( ordered_pair( X, Y ), cross_product( Z, T ) ), member( X, Z ) }
% 0.42/1.11 .
% 0.42/1.11 { ! member( ordered_pair( X, Y ), cross_product( Z, T ) ), member( Y, T ) }
% 0.42/1.11 .
% 0.42/1.11 { ! member( X, Z ), ! member( Y, T ), member( ordered_pair( X, Y ),
% 0.42/1.11 cross_product( Z, T ) ) }.
% 0.42/1.11 { ! member( X, universal_class ), ! member( Y, universal_class ), first(
% 0.42/1.11 ordered_pair( X, Y ) ) = X }.
% 0.42/1.11 { ! member( X, universal_class ), ! member( Y, universal_class ), second(
% 0.42/1.11 ordered_pair( X, Y ) ) = Y }.
% 0.42/1.11 { ! member( X, cross_product( Y, Z ) ), X = ordered_pair( first( X ),
% 0.42/1.11 second( X ) ) }.
% 0.42/1.11 { ! member( ordered_pair( X, Y ), element_relation ), member( Y,
% 0.42/1.11 universal_class ) }.
% 0.42/1.11 { ! member( ordered_pair( X, Y ), element_relation ), member( X, Y ) }.
% 0.42/1.11 { ! member( Y, universal_class ), ! member( X, Y ), member( ordered_pair( X
% 0.42/1.11 , Y ), element_relation ) }.
% 0.42/1.11 { subclass( element_relation, cross_product( universal_class,
% 0.42/1.11 universal_class ) ) }.
% 0.42/1.11 { ! member( Z, intersection( X, Y ) ), member( Z, X ) }.
% 0.42/1.11 { ! member( Z, intersection( X, Y ) ), member( Z, Y ) }.
% 0.42/1.11 { ! member( Z, X ), ! member( Z, Y ), member( Z, intersection( X, Y ) ) }.
% 0.42/1.11 { ! member( Y, complement( X ) ), member( Y, universal_class ) }.
% 0.42/1.11 { ! member( Y, complement( X ) ), ! member( Y, X ) }.
% 0.42/1.11 { ! member( Y, universal_class ), member( Y, X ), member( Y, complement( X
% 0.42/1.11 ) ) }.
% 0.42/1.11 { restrict( Y, X, Z ) = intersection( Y, cross_product( X, Z ) ) }.
% 0.42/1.11 { ! member( X, null_class ) }.
% 0.42/1.11 { ! member( Y, domain_of( X ) ), member( Y, universal_class ) }.
% 0.42/1.11 { ! member( Y, domain_of( X ) ), ! restrict( X, singleton( Y ),
% 0.42/1.11 universal_class ) = null_class }.
% 0.42/1.11 { ! member( Y, universal_class ), restrict( X, singleton( Y ),
% 0.42/1.11 universal_class ) = null_class, member( Y, domain_of( X ) ) }.
% 0.42/1.11 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ), member
% 0.42/1.11 ( ordered_pair( ordered_pair( Y, Z ), T ), cross_product( cross_product(
% 0.42/1.11 universal_class, universal_class ), universal_class ) ) }.
% 0.42/1.11 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ), member
% 0.42/1.11 ( ordered_pair( ordered_pair( Z, T ), Y ), X ) }.
% 0.42/1.11 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), cross_product(
% 0.42/1.11 cross_product( universal_class, universal_class ), universal_class ) ), !
% 0.42/1.11 member( ordered_pair( ordered_pair( Z, T ), Y ), X ), member(
% 0.42/1.11 ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ) }.
% 0.42/1.11 { subclass( rotate( X ), cross_product( cross_product( universal_class,
% 0.42/1.11 universal_class ), universal_class ) ) }.
% 0.42/1.11 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ), member(
% 0.42/1.11 ordered_pair( ordered_pair( X, Y ), Z ), cross_product( cross_product(
% 0.42/1.11 universal_class, universal_class ), universal_class ) ) }.
% 0.42/1.11 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ), member(
% 0.42/1.11 ordered_pair( ordered_pair( Y, X ), Z ), T ) }.
% 0.42/1.11 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), cross_product(
% 0.42/1.11 cross_product( universal_class, universal_class ), universal_class ) ), !
% 0.42/1.11 member( ordered_pair( ordered_pair( Y, X ), Z ), T ), member(
% 0.42/1.11 ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ) }.
% 0.42/1.11 { subclass( flip( X ), cross_product( cross_product( universal_class,
% 0.86/1.28 universal_class ), universal_class ) ) }.
% 0.86/1.28 { ! member( Z, union( X, Y ) ), member( Z, X ), member( Z, Y ) }.
% 0.86/1.28 { ! member( Z, X ), member( Z, union( X, Y ) ) }.
% 0.86/1.28 { ! member( Z, Y ), member( Z, union( X, Y ) ) }.
% 0.86/1.28 { successor( X ) = union( X, singleton( X ) ) }.
% 0.86/1.28 { subclass( successor_relation, cross_product( universal_class,
% 0.86/1.28 universal_class ) ) }.
% 0.86/1.28 { ! member( ordered_pair( X, Y ), successor_relation ), member( X,
% 0.86/1.28 universal_class ) }.
% 0.86/1.28 { ! member( ordered_pair( X, Y ), successor_relation ), alpha2( X, Y ) }.
% 0.86/1.28 { ! member( X, universal_class ), ! alpha2( X, Y ), member( ordered_pair( X
% 0.86/1.28 , Y ), successor_relation ) }.
% 0.86/1.28 { ! alpha2( X, Y ), member( Y, universal_class ) }.
% 0.86/1.28 { ! alpha2( X, Y ), successor( X ) = Y }.
% 0.86/1.28 { ! member( Y, universal_class ), ! successor( X ) = Y, alpha2( X, Y ) }.
% 0.86/1.28 { inverse( X ) = domain_of( flip( cross_product( X, universal_class ) ) ) }
% 0.86/1.28 .
% 0.86/1.28 { range_of( X ) = domain_of( inverse( X ) ) }.
% 0.86/1.28 { image( Y, X ) = range_of( restrict( Y, X, universal_class ) ) }.
% 0.86/1.28 { ! inductive( X ), member( null_class, X ) }.
% 0.86/1.28 { ! inductive( X ), subclass( image( successor_relation, X ), X ) }.
% 0.86/1.28 { ! member( null_class, X ), ! subclass( image( successor_relation, X ), X
% 0.86/1.28 ), inductive( X ) }.
% 0.86/1.28 { member( skol2, universal_class ) }.
% 0.86/1.28 { inductive( skol2 ) }.
% 0.86/1.28 { ! inductive( X ), subclass( skol2, X ) }.
% 0.86/1.28 { ! member( X, sum_class( Y ) ), member( skol3( Z, Y ), Y ) }.
% 0.86/1.28 { ! member( X, sum_class( Y ) ), member( X, skol3( X, Y ) ) }.
% 0.86/1.28 { ! member( X, Z ), ! member( Z, Y ), member( X, sum_class( Y ) ) }.
% 0.86/1.28 { ! member( X, universal_class ), member( sum_class( X ), universal_class )
% 0.86/1.28 }.
% 0.86/1.28 { ! member( X, power_class( Y ) ), member( X, universal_class ) }.
% 0.86/1.28 { ! member( X, power_class( Y ) ), subclass( X, Y ) }.
% 0.86/1.28 { ! member( X, universal_class ), ! subclass( X, Y ), member( X,
% 0.86/1.28 power_class( Y ) ) }.
% 0.86/1.28 { ! member( X, universal_class ), member( power_class( X ), universal_class
% 0.86/1.28 ) }.
% 0.86/1.28 { subclass( compose( Y, X ), cross_product( universal_class,
% 0.86/1.28 universal_class ) ) }.
% 0.86/1.28 { ! member( ordered_pair( Z, T ), compose( Y, X ) ), member( Z,
% 0.86/1.28 universal_class ) }.
% 0.86/1.28 { ! member( ordered_pair( Z, T ), compose( Y, X ) ), member( T, image( Y,
% 0.86/1.28 image( X, singleton( Z ) ) ) ) }.
% 0.86/1.28 { ! member( Z, universal_class ), ! member( T, image( Y, image( X,
% 0.86/1.28 singleton( Z ) ) ) ), member( ordered_pair( Z, T ), compose( Y, X ) ) }.
% 0.86/1.28 { ! member( X, identity_relation ), member( skol4( Y ), universal_class ) }
% 0.86/1.28 .
% 0.86/1.28 { ! member( X, identity_relation ), X = ordered_pair( skol4( X ), skol4( X
% 0.86/1.28 ) ) }.
% 0.86/1.28 { ! member( Y, universal_class ), ! X = ordered_pair( Y, Y ), member( X,
% 0.86/1.28 identity_relation ) }.
% 0.86/1.28 { ! function( X ), subclass( X, cross_product( universal_class,
% 0.86/1.28 universal_class ) ) }.
% 0.86/1.28 { ! function( X ), subclass( compose( X, inverse( X ) ), identity_relation
% 0.86/1.28 ) }.
% 0.86/1.28 { ! subclass( X, cross_product( universal_class, universal_class ) ), !
% 0.86/1.28 subclass( compose( X, inverse( X ) ), identity_relation ), function( X )
% 0.86/1.28 }.
% 0.86/1.28 { ! member( X, universal_class ), ! function( Y ), member( image( Y, X ),
% 0.86/1.28 universal_class ) }.
% 0.86/1.28 { ! disjoint( X, Y ), ! member( Z, X ), ! member( Z, Y ) }.
% 0.86/1.28 { member( skol5( Z, Y ), Y ), disjoint( X, Y ) }.
% 0.86/1.28 { member( skol5( X, Y ), X ), disjoint( X, Y ) }.
% 0.86/1.28 { X = null_class, member( skol6( Y ), universal_class ) }.
% 0.86/1.28 { X = null_class, member( skol6( X ), X ) }.
% 0.86/1.28 { X = null_class, disjoint( skol6( X ), X ) }.
% 0.86/1.28 { apply( X, Y ) = sum_class( image( X, singleton( Y ) ) ) }.
% 0.86/1.28 { function( skol7 ) }.
% 0.86/1.28 { ! member( X, universal_class ), X = null_class, member( apply( skol7, X )
% 0.86/1.28 , X ) }.
% 0.86/1.28 { subclass( skol8, skol10 ) }.
% 0.86/1.28 { subclass( skol10, skol9 ) }.
% 0.86/1.28 { ! subclass( skol8, skol9 ) }.
% 0.86/1.28
% 0.86/1.28 percentage equality = 0.143590, percentage horn = 0.885417
% 0.86/1.28 This is a problem with some equality
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 Options Used:
% 0.86/1.28
% 0.86/1.28 useres = 1
% 0.86/1.28 useparamod = 1
% 0.86/1.28 useeqrefl = 1
% 0.86/1.28 useeqfact = 1
% 0.86/1.28 usefactor = 1
% 0.86/1.28 usesimpsplitting = 0
% 0.86/1.28 usesimpdemod = 5
% 0.86/1.28 usesimpres = 3
% 0.86/1.28
% 0.86/1.28 resimpinuse = 1000
% 0.86/1.28 resimpclauses = 20000
% 0.86/1.28 substype = eqrewr
% 0.86/1.28 backwardsubs = 1
% 0.86/1.28 selectoldest = 5
% 0.86/1.28
% 0.86/1.28 litorderings [0] = split
% 0.86/1.28 litorderings [1] = extend the termordering, first sorting on arguments
% 1.53/1.95
% 1.53/1.95 termordering = kbo
% 1.53/1.95
% 1.53/1.95 litapriori = 0
% 1.53/1.95 termapriori = 1
% 1.53/1.95 litaposteriori = 0
% 1.53/1.95 termaposteriori = 0
% 1.53/1.95 demodaposteriori = 0
% 1.53/1.95 ordereqreflfact = 0
% 1.53/1.95
% 1.53/1.95 litselect = negord
% 1.53/1.95
% 1.53/1.95 maxweight = 15
% 1.53/1.95 maxdepth = 30000
% 1.53/1.95 maxlength = 115
% 1.53/1.95 maxnrvars = 195
% 1.53/1.95 excuselevel = 1
% 1.53/1.95 increasemaxweight = 1
% 1.53/1.95
% 1.53/1.95 maxselected = 10000000
% 1.53/1.95 maxnrclauses = 10000000
% 1.53/1.95
% 1.53/1.95 showgenerated = 0
% 1.53/1.95 showkept = 0
% 1.53/1.95 showselected = 0
% 1.53/1.95 showdeleted = 0
% 1.53/1.95 showresimp = 1
% 1.53/1.95 showstatus = 2000
% 1.53/1.95
% 1.53/1.95 prologoutput = 0
% 1.53/1.95 nrgoals = 5000000
% 1.53/1.95 totalproof = 1
% 1.53/1.95
% 1.53/1.95 Symbols occurring in the translation:
% 1.53/1.95
% 1.53/1.95 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.53/1.95 . [1, 2] (w:1, o:46, a:1, s:1, b:0),
% 1.53/1.95 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 1.53/1.95 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.53/1.95 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.53/1.95 subclass [37, 2] (w:1, o:70, a:1, s:1, b:0),
% 1.53/1.95 member [39, 2] (w:1, o:71, a:1, s:1, b:0),
% 1.53/1.95 universal_class [40, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.53/1.95 unordered_pair [41, 2] (w:1, o:72, a:1, s:1, b:0),
% 1.53/1.95 singleton [42, 1] (w:1, o:32, a:1, s:1, b:0),
% 1.53/1.95 ordered_pair [43, 2] (w:1, o:73, a:1, s:1, b:0),
% 1.53/1.95 cross_product [45, 2] (w:1, o:74, a:1, s:1, b:0),
% 1.53/1.95 first [46, 1] (w:1, o:33, a:1, s:1, b:0),
% 1.53/1.95 second [47, 1] (w:1, o:34, a:1, s:1, b:0),
% 1.53/1.95 element_relation [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.53/1.95 intersection [50, 2] (w:1, o:76, a:1, s:1, b:0),
% 1.53/1.95 complement [51, 1] (w:1, o:35, a:1, s:1, b:0),
% 1.53/1.95 restrict [53, 3] (w:1, o:85, a:1, s:1, b:0),
% 1.53/1.95 null_class [54, 0] (w:1, o:17, a:1, s:1, b:0),
% 1.53/1.95 domain_of [55, 1] (w:1, o:36, a:1, s:1, b:0),
% 1.53/1.95 rotate [57, 1] (w:1, o:30, a:1, s:1, b:0),
% 1.53/1.95 flip [58, 1] (w:1, o:37, a:1, s:1, b:0),
% 1.53/1.95 union [59, 2] (w:1, o:77, a:1, s:1, b:0),
% 1.53/1.95 successor [60, 1] (w:1, o:38, a:1, s:1, b:0),
% 1.53/1.95 successor_relation [61, 0] (w:1, o:18, a:1, s:1, b:0),
% 1.53/1.95 inverse [62, 1] (w:1, o:39, a:1, s:1, b:0),
% 1.53/1.95 range_of [63, 1] (w:1, o:31, a:1, s:1, b:0),
% 1.53/1.95 image [64, 2] (w:1, o:75, a:1, s:1, b:0),
% 1.53/1.95 inductive [65, 1] (w:1, o:40, a:1, s:1, b:0),
% 1.53/1.95 sum_class [66, 1] (w:1, o:41, a:1, s:1, b:0),
% 1.53/1.95 power_class [67, 1] (w:1, o:42, a:1, s:1, b:0),
% 1.53/1.95 compose [69, 2] (w:1, o:78, a:1, s:1, b:0),
% 1.53/1.95 identity_relation [70, 0] (w:1, o:19, a:1, s:1, b:0),
% 1.53/1.95 function [72, 1] (w:1, o:43, a:1, s:1, b:0),
% 1.53/1.95 disjoint [73, 2] (w:1, o:79, a:1, s:1, b:0),
% 1.53/1.95 apply [74, 2] (w:1, o:80, a:1, s:1, b:0),
% 1.53/1.95 alpha1 [75, 3] (w:1, o:86, a:1, s:1, b:1),
% 1.53/1.95 alpha2 [76, 2] (w:1, o:81, a:1, s:1, b:1),
% 1.53/1.95 skol1 [77, 2] (w:1, o:82, a:1, s:1, b:1),
% 1.53/1.95 skol2 [78, 0] (w:1, o:21, a:1, s:1, b:1),
% 1.53/1.95 skol3 [79, 2] (w:1, o:83, a:1, s:1, b:1),
% 1.53/1.95 skol4 [80, 1] (w:1, o:44, a:1, s:1, b:1),
% 1.53/1.95 skol5 [81, 2] (w:1, o:84, a:1, s:1, b:1),
% 1.53/1.95 skol6 [82, 1] (w:1, o:45, a:1, s:1, b:1),
% 1.53/1.95 skol7 [83, 0] (w:1, o:22, a:1, s:1, b:1),
% 1.53/1.95 skol8 [84, 0] (w:1, o:23, a:1, s:1, b:1),
% 1.53/1.95 skol9 [85, 0] (w:1, o:24, a:1, s:1, b:1),
% 1.53/1.95 skol10 [86, 0] (w:1, o:20, a:1, s:1, b:1).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Starting Search:
% 1.53/1.95
% 1.53/1.95 *** allocated 15000 integers for clauses
% 1.53/1.95 *** allocated 22500 integers for clauses
% 1.53/1.95 *** allocated 33750 integers for clauses
% 1.53/1.95 *** allocated 50625 integers for clauses
% 1.53/1.95 *** allocated 15000 integers for termspace/termends
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 *** allocated 75937 integers for clauses
% 1.53/1.95 *** allocated 22500 integers for termspace/termends
% 1.53/1.95 *** allocated 113905 integers for clauses
% 1.53/1.95 *** allocated 33750 integers for termspace/termends
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 3848
% 1.53/1.95 Kept: 2002
% 1.53/1.95 Inuse: 133
% 1.53/1.95 Deleted: 4
% 1.53/1.95 Deletedinuse: 2
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 *** allocated 170857 integers for clauses
% 1.53/1.95 *** allocated 50625 integers for termspace/termends
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 *** allocated 75937 integers for termspace/termends
% 1.53/1.95 *** allocated 256285 integers for clauses
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 8036
% 1.53/1.95 Kept: 4015
% 1.53/1.95 Inuse: 217
% 1.53/1.95 Deleted: 13
% 1.53/1.95 Deletedinuse: 7
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 *** allocated 113905 integers for termspace/termends
% 1.53/1.95 *** allocated 384427 integers for clauses
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 11355
% 1.53/1.95 Kept: 6108
% 1.53/1.95 Inuse: 279
% 1.53/1.95 Deleted: 17
% 1.53/1.95 Deletedinuse: 10
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 14541
% 1.53/1.95 Kept: 8124
% 1.53/1.95 Inuse: 347
% 1.53/1.95 Deleted: 24
% 1.53/1.95 Deletedinuse: 13
% 1.53/1.95
% 1.53/1.95 *** allocated 576640 integers for clauses
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 *** allocated 170857 integers for termspace/termends
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 23017
% 1.53/1.95 Kept: 11266
% 1.53/1.95 Inuse: 393
% 1.53/1.95 Deleted: 40
% 1.53/1.95 Deletedinuse: 22
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 *** allocated 864960 integers for clauses
% 1.53/1.95 *** allocated 256285 integers for termspace/termends
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 28693
% 1.53/1.95 Kept: 13438
% 1.53/1.95 Inuse: 403
% 1.53/1.95 Deleted: 120
% 1.53/1.95 Deletedinuse: 102
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 32728
% 1.53/1.95 Kept: 15447
% 1.53/1.95 Inuse: 462
% 1.53/1.95 Deleted: 126
% 1.53/1.95 Deletedinuse: 105
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Bliksems!, er is een bewijs:
% 1.53/1.95 % SZS status Theorem
% 1.53/1.95 % SZS output start Refutation
% 1.53/1.95
% 1.53/1.95 (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X ), member( Z
% 1.53/1.95 , Y ) }.
% 1.53/1.95 (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ), subclass( X, Y )
% 1.53/1.95 }.
% 1.53/1.95 (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subclass( X, Y )
% 1.53/1.95 }.
% 1.53/1.95 (92) {G0,W3,D2,L1,V0,M1} I { subclass( skol8, skol10 ) }.
% 1.53/1.95 (93) {G0,W3,D2,L1,V0,M1} I { subclass( skol10, skol9 ) }.
% 1.53/1.95 (94) {G0,W3,D2,L1,V0,M1} I { ! subclass( skol8, skol9 ) }.
% 1.53/1.95 (116) {G1,W6,D2,L2,V1,M2} R(93,0) { ! member( X, skol10 ), member( X, skol9
% 1.53/1.95 ) }.
% 1.53/1.95 (117) {G1,W6,D2,L2,V1,M2} R(92,0) { ! member( X, skol8 ), member( X, skol10
% 1.53/1.95 ) }.
% 1.53/1.95 (119) {G1,W5,D3,L1,V1,M1} R(1,94) { ! member( skol1( X, skol9 ), skol9 )
% 1.53/1.95 }.
% 1.53/1.95 (126) {G1,W5,D3,L1,V0,M1} R(2,94) { member( skol1( skol8, skol9 ), skol8 )
% 1.53/1.95 }.
% 1.53/1.95 (15555) {G2,W5,D3,L1,V1,M1} R(116,119) { ! member( skol1( X, skol9 ),
% 1.53/1.95 skol10 ) }.
% 1.53/1.95 (15796) {G3,W0,D0,L0,V0,M0} R(117,126);r(15555) { }.
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 % SZS output end Refutation
% 1.53/1.95 found a proof!
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Unprocessed initial clauses:
% 1.53/1.95
% 1.53/1.95 (15798) {G0,W9,D2,L3,V3,M3} { ! subclass( X, Y ), ! member( Z, X ), member
% 1.53/1.95 ( Z, Y ) }.
% 1.53/1.95 (15799) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ), subclass( X, Y
% 1.53/1.95 ) }.
% 1.53/1.95 (15800) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subclass( X, Y )
% 1.53/1.95 }.
% 1.53/1.95 (15801) {G0,W3,D2,L1,V1,M1} { subclass( X, universal_class ) }.
% 1.53/1.95 (15802) {G0,W6,D2,L2,V2,M2} { ! X = Y, subclass( X, Y ) }.
% 1.53/1.95 (15803) {G0,W6,D2,L2,V2,M2} { ! X = Y, subclass( Y, X ) }.
% 1.53/1.95 (15804) {G0,W9,D2,L3,V2,M3} { ! subclass( X, Y ), ! subclass( Y, X ), X =
% 1.53/1.95 Y }.
% 1.53/1.95 (15805) {G0,W8,D3,L2,V3,M2} { ! member( X, unordered_pair( Y, Z ) ),
% 1.53/1.95 member( X, universal_class ) }.
% 1.53/1.95 (15806) {G0,W9,D3,L2,V3,M2} { ! member( X, unordered_pair( Y, Z ) ),
% 1.53/1.95 alpha1( X, Y, Z ) }.
% 1.53/1.95 (15807) {G0,W12,D3,L3,V3,M3} { ! member( X, universal_class ), ! alpha1( X
% 1.53/1.95 , Y, Z ), member( X, unordered_pair( Y, Z ) ) }.
% 1.53/1.95 (15808) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), X = Y, X = Z }.
% 1.53/1.95 (15809) {G0,W7,D2,L2,V3,M2} { ! X = Y, alpha1( X, Y, Z ) }.
% 1.53/1.95 (15810) {G0,W7,D2,L2,V3,M2} { ! X = Z, alpha1( X, Y, Z ) }.
% 1.53/1.95 (15811) {G0,W5,D3,L1,V2,M1} { member( unordered_pair( X, Y ),
% 1.53/1.95 universal_class ) }.
% 1.53/1.95 (15812) {G0,W6,D3,L1,V1,M1} { singleton( X ) = unordered_pair( X, X ) }.
% 1.53/1.95 (15813) {G0,W11,D5,L1,V2,M1} { ordered_pair( X, Y ) = unordered_pair(
% 1.53/1.95 singleton( X ), unordered_pair( X, singleton( Y ) ) ) }.
% 1.53/1.95 (15814) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( X, Y ),
% 1.53/1.95 cross_product( Z, T ) ), member( X, Z ) }.
% 1.53/1.95 (15815) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( X, Y ),
% 1.53/1.95 cross_product( Z, T ) ), member( Y, T ) }.
% 1.53/1.95 (15816) {G0,W13,D3,L3,V4,M3} { ! member( X, Z ), ! member( Y, T ), member
% 1.53/1.95 ( ordered_pair( X, Y ), cross_product( Z, T ) ) }.
% 1.53/1.95 (15817) {G0,W12,D4,L3,V2,M3} { ! member( X, universal_class ), ! member( Y
% 1.53/1.95 , universal_class ), first( ordered_pair( X, Y ) ) = X }.
% 1.53/1.95 (15818) {G0,W12,D4,L3,V2,M3} { ! member( X, universal_class ), ! member( Y
% 1.53/1.95 , universal_class ), second( ordered_pair( X, Y ) ) = Y }.
% 1.53/1.95 (15819) {G0,W12,D4,L2,V3,M2} { ! member( X, cross_product( Y, Z ) ), X =
% 1.53/1.95 ordered_pair( first( X ), second( X ) ) }.
% 1.53/1.95 (15820) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 1.53/1.95 element_relation ), member( Y, universal_class ) }.
% 1.53/1.95 (15821) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 1.53/1.95 element_relation ), member( X, Y ) }.
% 1.53/1.95 (15822) {G0,W11,D3,L3,V2,M3} { ! member( Y, universal_class ), ! member( X
% 1.53/1.95 , Y ), member( ordered_pair( X, Y ), element_relation ) }.
% 1.53/1.95 (15823) {G0,W5,D3,L1,V0,M1} { subclass( element_relation, cross_product(
% 1.53/1.95 universal_class, universal_class ) ) }.
% 1.53/1.95 (15824) {G0,W8,D3,L2,V3,M2} { ! member( Z, intersection( X, Y ) ), member
% 1.53/1.95 ( Z, X ) }.
% 1.53/1.95 (15825) {G0,W8,D3,L2,V3,M2} { ! member( Z, intersection( X, Y ) ), member
% 1.53/1.95 ( Z, Y ) }.
% 1.53/1.95 (15826) {G0,W11,D3,L3,V3,M3} { ! member( Z, X ), ! member( Z, Y ), member
% 1.53/1.95 ( Z, intersection( X, Y ) ) }.
% 1.53/1.95 (15827) {G0,W7,D3,L2,V2,M2} { ! member( Y, complement( X ) ), member( Y,
% 1.53/1.95 universal_class ) }.
% 1.53/1.95 (15828) {G0,W7,D3,L2,V2,M2} { ! member( Y, complement( X ) ), ! member( Y
% 1.53/1.95 , X ) }.
% 1.53/1.95 (15829) {G0,W10,D3,L3,V2,M3} { ! member( Y, universal_class ), member( Y,
% 1.53/1.95 X ), member( Y, complement( X ) ) }.
% 1.53/1.95 (15830) {G0,W10,D4,L1,V3,M1} { restrict( Y, X, Z ) = intersection( Y,
% 1.53/1.95 cross_product( X, Z ) ) }.
% 1.53/1.95 (15831) {G0,W3,D2,L1,V1,M1} { ! member( X, null_class ) }.
% 1.53/1.95 (15832) {G0,W7,D3,L2,V2,M2} { ! member( Y, domain_of( X ) ), member( Y,
% 1.53/1.95 universal_class ) }.
% 1.53/1.95 (15833) {G0,W11,D4,L2,V2,M2} { ! member( Y, domain_of( X ) ), ! restrict(
% 1.53/1.95 X, singleton( Y ), universal_class ) = null_class }.
% 1.53/1.95 (15834) {G0,W14,D4,L3,V2,M3} { ! member( Y, universal_class ), restrict( X
% 1.53/1.95 , singleton( Y ), universal_class ) = null_class, member( Y, domain_of( X
% 1.53/1.95 ) ) }.
% 1.53/1.95 (15835) {G0,W19,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( Y, Z
% 1.53/1.95 ), T ), rotate( X ) ), member( ordered_pair( ordered_pair( Y, Z ), T ),
% 1.53/1.95 cross_product( cross_product( universal_class, universal_class ),
% 1.53/1.95 universal_class ) ) }.
% 1.53/1.95 (15836) {G0,W15,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( Y, Z
% 1.53/1.95 ), T ), rotate( X ) ), member( ordered_pair( ordered_pair( Z, T ), Y ),
% 1.53/1.95 X ) }.
% 1.53/1.95 (15837) {G0,W26,D4,L3,V4,M3} { ! member( ordered_pair( ordered_pair( Y, Z
% 1.53/1.95 ), T ), cross_product( cross_product( universal_class, universal_class )
% 1.53/1.95 , universal_class ) ), ! member( ordered_pair( ordered_pair( Z, T ), Y )
% 1.53/1.95 , X ), member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ) }.
% 1.53/1.95 (15838) {G0,W8,D4,L1,V1,M1} { subclass( rotate( X ), cross_product(
% 1.53/1.95 cross_product( universal_class, universal_class ), universal_class ) )
% 1.53/1.95 }.
% 1.53/1.95 (15839) {G0,W19,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( X, Y
% 1.53/1.95 ), Z ), flip( T ) ), member( ordered_pair( ordered_pair( X, Y ), Z ),
% 1.53/1.95 cross_product( cross_product( universal_class, universal_class ),
% 1.53/1.95 universal_class ) ) }.
% 1.53/1.95 (15840) {G0,W15,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( X, Y
% 1.53/1.95 ), Z ), flip( T ) ), member( ordered_pair( ordered_pair( Y, X ), Z ), T
% 1.53/1.95 ) }.
% 1.53/1.95 (15841) {G0,W26,D4,L3,V4,M3} { ! member( ordered_pair( ordered_pair( X, Y
% 1.53/1.95 ), Z ), cross_product( cross_product( universal_class, universal_class )
% 1.53/1.95 , universal_class ) ), ! member( ordered_pair( ordered_pair( Y, X ), Z )
% 1.53/1.95 , T ), member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ) }.
% 1.53/1.95 (15842) {G0,W8,D4,L1,V1,M1} { subclass( flip( X ), cross_product(
% 1.53/1.95 cross_product( universal_class, universal_class ), universal_class ) )
% 1.53/1.95 }.
% 1.53/1.95 (15843) {G0,W11,D3,L3,V3,M3} { ! member( Z, union( X, Y ) ), member( Z, X
% 1.53/1.95 ), member( Z, Y ) }.
% 1.53/1.95 (15844) {G0,W8,D3,L2,V3,M2} { ! member( Z, X ), member( Z, union( X, Y ) )
% 1.53/1.95 }.
% 1.53/1.95 (15845) {G0,W8,D3,L2,V3,M2} { ! member( Z, Y ), member( Z, union( X, Y ) )
% 1.53/1.95 }.
% 1.53/1.95 (15846) {G0,W7,D4,L1,V1,M1} { successor( X ) = union( X, singleton( X ) )
% 1.53/1.95 }.
% 1.53/1.95 (15847) {G0,W5,D3,L1,V0,M1} { subclass( successor_relation, cross_product
% 1.53/1.95 ( universal_class, universal_class ) ) }.
% 1.53/1.95 (15848) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 1.53/1.95 successor_relation ), member( X, universal_class ) }.
% 1.53/1.95 (15849) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 1.53/1.95 successor_relation ), alpha2( X, Y ) }.
% 1.53/1.95 (15850) {G0,W11,D3,L3,V2,M3} { ! member( X, universal_class ), ! alpha2( X
% 1.53/1.95 , Y ), member( ordered_pair( X, Y ), successor_relation ) }.
% 1.53/1.95 (15851) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), member( Y, universal_class
% 1.53/1.95 ) }.
% 1.53/1.95 (15852) {G0,W7,D3,L2,V2,M2} { ! alpha2( X, Y ), successor( X ) = Y }.
% 1.53/1.95 (15853) {G0,W10,D3,L3,V2,M3} { ! member( Y, universal_class ), ! successor
% 1.53/1.95 ( X ) = Y, alpha2( X, Y ) }.
% 1.53/1.95 (15854) {G0,W8,D5,L1,V1,M1} { inverse( X ) = domain_of( flip(
% 1.53/1.95 cross_product( X, universal_class ) ) ) }.
% 1.53/1.95 (15855) {G0,W6,D4,L1,V1,M1} { range_of( X ) = domain_of( inverse( X ) )
% 1.53/1.95 }.
% 1.53/1.95 (15856) {G0,W9,D4,L1,V2,M1} { image( Y, X ) = range_of( restrict( Y, X,
% 1.53/1.95 universal_class ) ) }.
% 1.53/1.95 (15857) {G0,W5,D2,L2,V1,M2} { ! inductive( X ), member( null_class, X )
% 1.53/1.95 }.
% 1.53/1.95 (15858) {G0,W7,D3,L2,V1,M2} { ! inductive( X ), subclass( image(
% 1.53/1.95 successor_relation, X ), X ) }.
% 1.53/1.95 (15859) {G0,W10,D3,L3,V1,M3} { ! member( null_class, X ), ! subclass(
% 1.53/1.95 image( successor_relation, X ), X ), inductive( X ) }.
% 1.53/1.95 (15860) {G0,W3,D2,L1,V0,M1} { member( skol2, universal_class ) }.
% 1.53/1.95 (15861) {G0,W2,D2,L1,V0,M1} { inductive( skol2 ) }.
% 1.53/1.95 (15862) {G0,W5,D2,L2,V1,M2} { ! inductive( X ), subclass( skol2, X ) }.
% 1.53/1.95 (15863) {G0,W9,D3,L2,V3,M2} { ! member( X, sum_class( Y ) ), member( skol3
% 1.53/1.95 ( Z, Y ), Y ) }.
% 1.53/1.95 (15864) {G0,W9,D3,L2,V2,M2} { ! member( X, sum_class( Y ) ), member( X,
% 1.53/1.95 skol3( X, Y ) ) }.
% 1.53/1.95 (15865) {G0,W10,D3,L3,V3,M3} { ! member( X, Z ), ! member( Z, Y ), member
% 1.53/1.95 ( X, sum_class( Y ) ) }.
% 1.53/1.95 (15866) {G0,W7,D3,L2,V1,M2} { ! member( X, universal_class ), member(
% 1.53/1.95 sum_class( X ), universal_class ) }.
% 1.53/1.95 (15867) {G0,W7,D3,L2,V2,M2} { ! member( X, power_class( Y ) ), member( X,
% 1.53/1.95 universal_class ) }.
% 1.53/1.95 (15868) {G0,W7,D3,L2,V2,M2} { ! member( X, power_class( Y ) ), subclass( X
% 1.53/1.95 , Y ) }.
% 1.53/1.95 (15869) {G0,W10,D3,L3,V2,M3} { ! member( X, universal_class ), ! subclass
% 1.53/1.95 ( X, Y ), member( X, power_class( Y ) ) }.
% 1.53/1.95 (15870) {G0,W7,D3,L2,V1,M2} { ! member( X, universal_class ), member(
% 1.53/1.95 power_class( X ), universal_class ) }.
% 1.53/1.95 (15871) {G0,W7,D3,L1,V2,M1} { subclass( compose( Y, X ), cross_product(
% 1.53/1.95 universal_class, universal_class ) ) }.
% 1.53/1.95 (15872) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( Z, T ), compose( Y
% 1.53/1.95 , X ) ), member( Z, universal_class ) }.
% 1.53/1.95 (15873) {G0,W15,D5,L2,V4,M2} { ! member( ordered_pair( Z, T ), compose( Y
% 1.53/1.95 , X ) ), member( T, image( Y, image( X, singleton( Z ) ) ) ) }.
% 1.53/1.95 (15874) {G0,W18,D5,L3,V4,M3} { ! member( Z, universal_class ), ! member( T
% 1.53/1.95 , image( Y, image( X, singleton( Z ) ) ) ), member( ordered_pair( Z, T )
% 1.53/1.95 , compose( Y, X ) ) }.
% 1.53/1.95 (15875) {G0,W7,D3,L2,V2,M2} { ! member( X, identity_relation ), member(
% 1.53/1.95 skol4( Y ), universal_class ) }.
% 1.53/1.95 (15876) {G0,W10,D4,L2,V1,M2} { ! member( X, identity_relation ), X =
% 1.53/1.95 ordered_pair( skol4( X ), skol4( X ) ) }.
% 1.53/1.95 (15877) {G0,W11,D3,L3,V2,M3} { ! member( Y, universal_class ), ! X =
% 1.53/1.95 ordered_pair( Y, Y ), member( X, identity_relation ) }.
% 1.53/1.95 (15878) {G0,W7,D3,L2,V1,M2} { ! function( X ), subclass( X, cross_product
% 1.53/1.95 ( universal_class, universal_class ) ) }.
% 1.53/1.95 (15879) {G0,W8,D4,L2,V1,M2} { ! function( X ), subclass( compose( X,
% 1.53/1.95 inverse( X ) ), identity_relation ) }.
% 1.53/1.95 (15880) {G0,W13,D4,L3,V1,M3} { ! subclass( X, cross_product(
% 1.53/1.95 universal_class, universal_class ) ), ! subclass( compose( X, inverse( X
% 1.53/1.95 ) ), identity_relation ), function( X ) }.
% 1.53/1.95 (15881) {G0,W10,D3,L3,V2,M3} { ! member( X, universal_class ), ! function
% 1.53/1.95 ( Y ), member( image( Y, X ), universal_class ) }.
% 1.53/1.95 (15882) {G0,W9,D2,L3,V3,M3} { ! disjoint( X, Y ), ! member( Z, X ), !
% 1.53/1.95 member( Z, Y ) }.
% 1.53/1.95 (15883) {G0,W8,D3,L2,V3,M2} { member( skol5( Z, Y ), Y ), disjoint( X, Y )
% 1.53/1.95 }.
% 1.53/1.95 (15884) {G0,W8,D3,L2,V2,M2} { member( skol5( X, Y ), X ), disjoint( X, Y )
% 1.53/1.95 }.
% 1.53/1.95 (15885) {G0,W7,D3,L2,V2,M2} { X = null_class, member( skol6( Y ),
% 1.53/1.95 universal_class ) }.
% 1.53/1.95 (15886) {G0,W7,D3,L2,V1,M2} { X = null_class, member( skol6( X ), X ) }.
% 1.53/1.95 (15887) {G0,W7,D3,L2,V1,M2} { X = null_class, disjoint( skol6( X ), X )
% 1.53/1.95 }.
% 1.53/1.95 (15888) {G0,W9,D5,L1,V2,M1} { apply( X, Y ) = sum_class( image( X,
% 1.53/1.95 singleton( Y ) ) ) }.
% 1.53/1.95 (15889) {G0,W2,D2,L1,V0,M1} { function( skol7 ) }.
% 1.53/1.95 (15890) {G0,W11,D3,L3,V1,M3} { ! member( X, universal_class ), X =
% 1.53/1.95 null_class, member( apply( skol7, X ), X ) }.
% 1.53/1.95 (15891) {G0,W3,D2,L1,V0,M1} { subclass( skol8, skol10 ) }.
% 1.53/1.95 (15892) {G0,W3,D2,L1,V0,M1} { subclass( skol10, skol9 ) }.
% 1.53/1.95 (15893) {G0,W3,D2,L1,V0,M1} { ! subclass( skol8, skol9 ) }.
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Total Proof:
% 1.53/1.95
% 1.53/1.95 subsumption: (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X
% 1.53/1.95 ), member( Z, Y ) }.
% 1.53/1.95 parent0: (15798) {G0,W9,D2,L3,V3,M3} { ! subclass( X, Y ), ! member( Z, X
% 1.53/1.95 ), member( Z, Y ) }.
% 1.53/1.95 substitution0:
% 1.53/1.95 X := X
% 1.53/1.95 Y := Y
% 1.53/1.95 Z := Z
% 1.53/1.95 end
% 1.53/1.95 permutation0:
% 1.53/1.95 0 ==> 0
% 1.53/1.95 1 ==> 1
% 1.53/1.95 2 ==> 2
% 1.53/1.95 end
% 1.53/1.95
% 1.53/1.95 subsumption: (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ),
% 1.53/1.95 subclass( X, Y ) }.
% 1.53/1.95 parent0: (15799) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ),
% 1.53/1.95 subclass( X, Y ) }.
% 1.53/1.95 substitution0:
% 1.53/1.95 X := X
% 1.53/1.95 Y := Y
% 1.53/1.95 Z := Z
% 1.53/1.95 end
% 1.53/1.95 permutation0:
% 1.53/1.95 0 ==> 0
% 1.53/1.95 1 ==> 1
% 1.53/1.95 end
% 1.53/1.95
% 1.53/1.95 subsumption: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ),
% 1.53/1.95 subclass( X, Y ) }.
% 1.53/1.95 parent0: (15800) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ),
% 1.53/1.95 subclass( X, Y ) }.
% 1.53/1.95 substitution0:
% 1.53/1.95 X := X
% 1.53/1.95 Y := Y
% 1.53/1.95 end
% 1.53/1.95 permutation0:
% 1.53/1.95 0 ==> 0
% 1.53/1.95 1 ==> 1
% 1.53/1.95 end
% 1.53/1.95
% 1.53/1.95 subsumption: (92) {G0,W3,D2,L1,V0,M1} I { subclass( skol8, skol10 ) }.
% 1.53/1.95 parent0: (15891) {G0,W3,D2,L1,V0,M1} { subclass( skol8, skol10 ) }.
% 1.53/1.95 substitution0:
% 1.53/1.95 end
% 1.53/1.95 permutation0:
% 1.53/1.95 0 ==> 0
% 1.53/1.95 end
% 1.53/1.95
% 1.53/1.95 subsumption: (93) {G0,W3,D2,L1,V0,M1} I { subclass( skol10, skol9 ) }.
% 1.53/1.95 parent0: (15892) {G0,W3,D2,L1,V0,M1} { subclass( skol10, skol9 ) }.
% 1.53/1.95 substitution0:
% 1.53/1.95 end
% 1.53/1.95 permutation0:
% 1.53/1.95 0 ==> 0
% 1.53/1.95 end
% 1.53/1.95
% 1.53/1.95 subsumption: (94) {G0,W3,D2,L1,V0,M1} I { ! subclass( skol8, skol9 ) }.
% 1.53/1.95 parent0: (15893) {G0,W3,D2,L1,V0,M1} { ! subclass( skol8, skol9 ) }.
% 1.53/1.95 substitution0:
% 1.53/1.95 end
% 1.53/1.95 permutation0:
% 1.53/1.95 0 ==> 0
% 1.53/1.95 end
% 1.53/1.95
% 1.53/1.95 resolution: (16023) {G1,W6,D2,L2,V1,M2} { ! member( X, skol10 ), member( X
% 1.53/1.95 , skol9 ) }.
% 1.53/1.95 parent0[0]: (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X
% 1.53/1.95 ), member( Z, Y ) }.
% 1.53/1.95 parent1[0]: (93) {G0,W3,D2,L1,V0,M1} I { subclass( skol10, skol9 ) }.
% 1.53/1.95 substitution0:
% 1.53/1.95 X := skol10
% 1.53/1.95 Y := skol9
% 1.53/1.95 Z := X
% 1.53/1.95 end
% 1.53/1.95 substitution1:
% 1.53/1.95 end
% 1.53/1.95
% 1.53/1.95 subsumption: (116) {G1,W6,D2,L2,V1,M2} R(93,0) { ! member( X, skol10 ),
% 1.53/1.95 member( X, skol9 ) }.
% 1.53/1.95 parent0: (16023) {G1,W6,D2,L2,V1,M2} { ! member( X, skol10 ), member( X,
% 1.53/1.95 skol9 ) }.
% 1.53/1.95 substitution0:
% 1.53/1.95 X := X
% 1.53/1.95 end
% 1.53/1.95 permutation0:
% 1.53/1.95 0 ==> 0
% 1.53/1.95 1 ==> 1
% 1.53/1.95 end
% 1.53/1.95
% 1.53/1.95 resolution: (16024) {G1,W6,D2,L2,V1,M2} { ! member( X, skol8 ), member( X
% 1.53/1.95 , skol10 ) }.
% 1.53/1.95 parent0[0]: (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X
% 1.53/1.95 ), member( Z, Y ) }.
% 1.53/1.95 parent1[0]: (92) {G0,W3,D2,L1,V0,M1} I { subclass( skol8, skol10 ) }.
% 1.53/1.95 substitution0:
% 1.53/1.95 X := skol8
% 1.53/1.95 Y := skol10
% 1.53/1.95 Z := X
% 1.53/1.95 end
% 1.53/1.95 substitution1:
% 1.53/1.95 end
% 1.53/1.95
% 1.53/1.95 subsumption: (117) {G1,W6,D2,L2,V1,M2} R(92,0) { ! member( X, skol8 ),
% 1.53/1.95 member( X, skol10 ) }.
% 1.53/1.95 parent0: (16024) {G1,W6,D2,L2,V1,M2} { ! member( X, skol8 ), member( X,
% 1.53/1.95 skol10 ) }.
% 1.53/1.95 substitution0:
% 1.53/1.95 X := X
% 1.53/1.95 end
% 1.53/1.95 permutation0:
% 1.53/1.95 0 ==> 0
% 1.53/1.95 1 ==> 1
% 1.53/1.95 end
% 1.53/1.95
% 1.53/1.95 resolution: (16025) {G1,W5,D3,L1,V1,M1} { ! member( skol1( X, skol9 ),
% 1.53/1.95 skol9 ) }.
% 1.53/1.95 parent0[0]: (94) {G0,W3,D2,L1,V0,M1} I { ! subclass( skol8, skol9 ) }.
% 1.53/1.95 parent1[1]: (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ),
% 1.53/1.95 subclass( X, Y ) }.
% 1.53/1.95 substitution0:
% 1.53/1.95 end
% 1.53/1.95 substitution1:
% 1.53/1.95 X := skol8
% 1.53/1.95 Y := skol9
% 1.53/1.95 Z := X
% 1.53/1.95 end
% 1.53/1.95
% 1.53/1.95 subsumption: (119) {G1,W5,D3,L1,V1,M1} R(1,94) { ! member( skol1( X, skol9
% 1.53/1.95 ), skol9 ) }.
% 1.53/1.95 parent0: (16025) {G1,W5,D3,L1,V1,M1} { ! member( skol1( X, skol9 ), skol9
% 1.53/1.95 ) }.
% 1.53/1.95 substitution0:
% 1.53/1.95 X := X
% 1.53/1.95 end
% 1.53/1.95 permutation0:
% 1.53/1.95 0 ==> 0
% 1.53/1.95 end
% 1.53/1.95
% 1.53/1.95 resolution: (16026) {G1,W5,D3,L1,V0,M1} { member( skol1( skol8, skol9 ),
% 1.53/1.95 skol8 ) }.
% 1.53/1.95 parent0[0]: (94) {G0,W3,D2,L1,V0,M1} I { ! subclass( skol8, skol9 ) }.
% 1.53/1.95 parent1[1]: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ),
% 1.53/1.95 subclass( X, Y ) }.
% 1.53/1.95 substitution0:
% 1.53/1.95 end
% 1.53/1.95 substitution1:
% 1.53/1.95 X := skol8
% 1.53/1.95 Y := skol9
% 1.53/1.95 end
% 1.53/1.95
% 1.53/1.95 subsumption: (126) {G1,W5,D3,L1,V0,M1} R(2,94) { member( skol1( skol8,
% 1.53/1.95 skol9 ), skol8 ) }.
% 1.53/1.95 parent0: (16026) {G1,W5,D3,L1,V0,M1} { member( skol1( skol8, skol9 ),
% 1.53/1.95 skol8 ) }.
% 1.53/1.95 substitution0:
% 1.53/1.95 end
% 1.53/1.95 permutation0:
% 1.53/1.95 0 ==> 0
% 1.53/1.95 end
% 1.53/1.95
% 1.53/1.95 resolution: (16027) {G2,W5,D3,L1,V1,M1} { ! member( skol1( X, skol9 ),
% 1.53/1.95 skol10 ) }.
% 1.53/1.95 parent0[0]: (119) {G1,W5,D3,L1,V1,M1} R(1,94) { ! member( skol1( X, skol9 )
% 1.53/1.95 , skol9 ) }.
% 1.53/1.95 parent1[1]: (116) {G1,W6,D2,L2,V1,M2} R(93,0) { ! member( X, skol10 ),
% 1.53/1.95 member( X, skol9 ) }.
% 1.53/1.95 substitution0:
% 1.53/1.95 X := X
% 1.53/1.95 end
% 1.53/1.95 substitution1:
% 1.53/1.95 X := skol1( X, skol9 )
% 1.53/1.95 end
% 1.53/1.95
% 1.53/1.95 subsumption: (15555) {G2,W5,D3,L1,V1,M1} R(116,119) { ! member( skol1( X,
% 1.53/1.95 skol9 ), skol10 ) }.
% 1.53/1.95 parent0: (16027) {G2,W5,D3,L1,V1,M1} { ! member( skol1( X, skol9 ), skol10
% 1.53/1.95 ) }.
% 1.53/1.95 substitution0:
% 1.53/1.95 X := X
% 1.53/1.95 end
% 1.53/1.95 permutation0:
% 1.53/1.95 0 ==> 0
% 1.53/1.95 end
% 1.53/1.95
% 1.53/1.95 resolution: (16028) {G2,W5,D3,L1,V0,M1} { member( skol1( skol8, skol9 ),
% 1.53/1.95 skol10 ) }.
% 1.53/1.95 parent0[0]: (117) {G1,W6,D2,L2,V1,M2} R(92,0) { ! member( X, skol8 ),
% 1.53/1.95 member( X, skol10 ) }.
% 1.53/1.95 parent1[0]: (126) {G1,W5,D3,L1,V0,M1} R(2,94) { member( skol1( skol8, skol9
% 1.53/1.95 ), skol8 ) }.
% 1.53/1.95 substitution0:
% 1.53/1.95 X := skol1( skol8, skol9 )
% 1.53/1.95 end
% 1.53/1.95 substitution1:
% 1.53/1.95 end
% 1.53/1.95
% 1.53/1.95 resolution: (16029) {G3,W0,D0,L0,V0,M0} { }.
% 1.53/1.95 parent0[0]: (15555) {G2,W5,D3,L1,V1,M1} R(116,119) { ! member( skol1( X,
% 1.53/1.95 skol9 ), skol10 ) }.
% 1.53/1.95 parent1[0]: (16028) {G2,W5,D3,L1,V0,M1} { member( skol1( skol8, skol9 ),
% 1.53/1.95 skol10 ) }.
% 1.53/1.95 substitution0:
% 1.53/1.95 X := skol8
% 1.53/1.95 end
% 1.53/1.95 substitution1:
% 1.53/1.95 end
% 1.53/1.95
% 1.53/1.95 subsumption: (15796) {G3,W0,D0,L0,V0,M0} R(117,126);r(15555) { }.
% 1.53/1.95 parent0: (16029) {G3,W0,D0,L0,V0,M0} { }.
% 1.53/1.95 substitution0:
% 1.53/1.95 end
% 1.53/1.95 permutation0:
% 1.53/1.95 end
% 1.53/1.95
% 1.53/1.95 Proof check complete!
% 1.53/1.95
% 1.53/1.95 Memory use:
% 1.53/1.95
% 1.53/1.95 space for terms: 207648
% 1.53/1.95 space for clauses: 722794
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 clauses generated: 33273
% 1.53/1.95 clauses kept: 15797
% 1.53/1.95 clauses selected: 470
% 1.53/1.95 clauses deleted: 126
% 1.53/1.95 clauses inuse deleted: 105
% 1.53/1.95
% 1.53/1.95 subsentry: 72730
% 1.53/1.95 literals s-matched: 50445
% 1.53/1.95 literals matched: 49728
% 1.53/1.95 full subsumption: 20963
% 1.53/1.95
% 1.53/1.95 checksum: -1951155515
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Bliksem ended
%------------------------------------------------------------------------------