%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET091+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 22:46:54 EDT 2022
% Result : Theorem 0.73s 1.54s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET091+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jul 10 09:37:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.08 *** allocated 10000 integers for termspace/termends
% 0.43/1.08 *** allocated 10000 integers for clauses
% 0.43/1.08 *** allocated 10000 integers for justifications
% 0.43/1.08 Bliksem 1.12
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Automatic Strategy Selection
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Clauses:
% 0.43/1.08
% 0.43/1.08 { ! subclass( X, Y ), ! member( Z, X ), member( Z, Y ) }.
% 0.43/1.08 { ! member( skol1( Z, Y ), Y ), subclass( X, Y ) }.
% 0.43/1.08 { member( skol1( X, Y ), X ), subclass( X, Y ) }.
% 0.43/1.08 { subclass( X, universal_class ) }.
% 0.43/1.08 { ! X = Y, subclass( X, Y ) }.
% 0.43/1.08 { ! X = Y, subclass( Y, X ) }.
% 0.43/1.08 { ! subclass( X, Y ), ! subclass( Y, X ), X = Y }.
% 0.43/1.08 { ! member( X, unordered_pair( Y, Z ) ), member( X, universal_class ) }.
% 0.43/1.08 { ! member( X, unordered_pair( Y, Z ) ), alpha1( X, Y, Z ) }.
% 0.43/1.08 { ! member( X, universal_class ), ! alpha1( X, Y, Z ), member( X,
% 0.43/1.08 unordered_pair( Y, Z ) ) }.
% 0.43/1.08 { ! alpha1( X, Y, Z ), X = Y, X = Z }.
% 0.43/1.08 { ! X = Y, alpha1( X, Y, Z ) }.
% 0.43/1.08 { ! X = Z, alpha1( X, Y, Z ) }.
% 0.43/1.08 { member( unordered_pair( X, Y ), universal_class ) }.
% 0.43/1.08 { singleton( X ) = unordered_pair( X, X ) }.
% 0.43/1.08 { ordered_pair( X, Y ) = unordered_pair( singleton( X ), unordered_pair( X
% 0.43/1.08 , singleton( Y ) ) ) }.
% 0.43/1.08 { ! member( ordered_pair( X, Y ), cross_product( Z, T ) ), member( X, Z ) }
% 0.43/1.08 .
% 0.43/1.08 { ! member( ordered_pair( X, Y ), cross_product( Z, T ) ), member( Y, T ) }
% 0.43/1.08 .
% 0.43/1.08 { ! member( X, Z ), ! member( Y, T ), member( ordered_pair( X, Y ),
% 0.43/1.08 cross_product( Z, T ) ) }.
% 0.43/1.08 { ! member( X, universal_class ), ! member( Y, universal_class ), first(
% 0.43/1.08 ordered_pair( X, Y ) ) = X }.
% 0.43/1.08 { ! member( X, universal_class ), ! member( Y, universal_class ), second(
% 0.43/1.08 ordered_pair( X, Y ) ) = Y }.
% 0.43/1.08 { ! member( X, cross_product( Y, Z ) ), X = ordered_pair( first( X ),
% 0.43/1.08 second( X ) ) }.
% 0.43/1.08 { ! member( ordered_pair( X, Y ), element_relation ), member( Y,
% 0.43/1.08 universal_class ) }.
% 0.43/1.08 { ! member( ordered_pair( X, Y ), element_relation ), member( X, Y ) }.
% 0.43/1.08 { ! member( Y, universal_class ), ! member( X, Y ), member( ordered_pair( X
% 0.43/1.08 , Y ), element_relation ) }.
% 0.43/1.08 { subclass( element_relation, cross_product( universal_class,
% 0.43/1.08 universal_class ) ) }.
% 0.43/1.08 { ! member( Z, intersection( X, Y ) ), member( Z, X ) }.
% 0.43/1.08 { ! member( Z, intersection( X, Y ) ), member( Z, Y ) }.
% 0.43/1.08 { ! member( Z, X ), ! member( Z, Y ), member( Z, intersection( X, Y ) ) }.
% 0.43/1.08 { ! member( Y, complement( X ) ), member( Y, universal_class ) }.
% 0.43/1.08 { ! member( Y, complement( X ) ), ! member( Y, X ) }.
% 0.43/1.08 { ! member( Y, universal_class ), member( Y, X ), member( Y, complement( X
% 0.43/1.08 ) ) }.
% 0.43/1.08 { restrict( Y, X, Z ) = intersection( Y, cross_product( X, Z ) ) }.
% 0.43/1.08 { ! member( X, null_class ) }.
% 0.43/1.08 { ! member( Y, domain_of( X ) ), member( Y, universal_class ) }.
% 0.43/1.08 { ! member( Y, domain_of( X ) ), ! restrict( X, singleton( Y ),
% 0.43/1.08 universal_class ) = null_class }.
% 0.43/1.08 { ! member( Y, universal_class ), restrict( X, singleton( Y ),
% 0.43/1.08 universal_class ) = null_class, member( Y, domain_of( X ) ) }.
% 0.43/1.08 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ), member
% 0.43/1.08 ( ordered_pair( ordered_pair( Y, Z ), T ), cross_product( cross_product(
% 0.43/1.08 universal_class, universal_class ), universal_class ) ) }.
% 0.43/1.08 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ), member
% 0.43/1.08 ( ordered_pair( ordered_pair( Z, T ), Y ), X ) }.
% 0.43/1.08 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), cross_product(
% 0.43/1.08 cross_product( universal_class, universal_class ), universal_class ) ), !
% 0.43/1.08 member( ordered_pair( ordered_pair( Z, T ), Y ), X ), member(
% 0.43/1.08 ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ) }.
% 0.43/1.08 { subclass( rotate( X ), cross_product( cross_product( universal_class,
% 0.43/1.08 universal_class ), universal_class ) ) }.
% 0.43/1.08 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ), member(
% 0.43/1.08 ordered_pair( ordered_pair( X, Y ), Z ), cross_product( cross_product(
% 0.43/1.08 universal_class, universal_class ), universal_class ) ) }.
% 0.43/1.08 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ), member(
% 0.43/1.08 ordered_pair( ordered_pair( Y, X ), Z ), T ) }.
% 0.43/1.08 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), cross_product(
% 0.43/1.08 cross_product( universal_class, universal_class ), universal_class ) ), !
% 0.43/1.08 member( ordered_pair( ordered_pair( Y, X ), Z ), T ), member(
% 0.43/1.08 ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ) }.
% 0.43/1.08 { subclass( flip( X ), cross_product( cross_product( universal_class,
% 0.73/1.16 universal_class ), universal_class ) ) }.
% 0.73/1.16 { ! member( Z, union( X, Y ) ), member( Z, X ), member( Z, Y ) }.
% 0.73/1.16 { ! member( Z, X ), member( Z, union( X, Y ) ) }.
% 0.73/1.16 { ! member( Z, Y ), member( Z, union( X, Y ) ) }.
% 0.73/1.16 { successor( X ) = union( X, singleton( X ) ) }.
% 0.73/1.16 { subclass( successor_relation, cross_product( universal_class,
% 0.73/1.16 universal_class ) ) }.
% 0.73/1.16 { ! member( ordered_pair( X, Y ), successor_relation ), member( X,
% 0.73/1.16 universal_class ) }.
% 0.73/1.16 { ! member( ordered_pair( X, Y ), successor_relation ), alpha2( X, Y ) }.
% 0.73/1.16 { ! member( X, universal_class ), ! alpha2( X, Y ), member( ordered_pair( X
% 0.73/1.16 , Y ), successor_relation ) }.
% 0.73/1.16 { ! alpha2( X, Y ), member( Y, universal_class ) }.
% 0.73/1.16 { ! alpha2( X, Y ), successor( X ) = Y }.
% 0.73/1.16 { ! member( Y, universal_class ), ! successor( X ) = Y, alpha2( X, Y ) }.
% 0.73/1.16 { inverse( X ) = domain_of( flip( cross_product( X, universal_class ) ) ) }
% 0.73/1.16 .
% 0.73/1.16 { range_of( X ) = domain_of( inverse( X ) ) }.
% 0.73/1.16 { image( Y, X ) = range_of( restrict( Y, X, universal_class ) ) }.
% 0.73/1.16 { ! inductive( X ), member( null_class, X ) }.
% 0.73/1.16 { ! inductive( X ), subclass( image( successor_relation, X ), X ) }.
% 0.73/1.16 { ! member( null_class, X ), ! subclass( image( successor_relation, X ), X
% 0.73/1.16 ), inductive( X ) }.
% 0.73/1.16 { member( skol2, universal_class ) }.
% 0.73/1.16 { inductive( skol2 ) }.
% 0.73/1.16 { ! inductive( X ), subclass( skol2, X ) }.
% 0.73/1.16 { ! member( X, sum_class( Y ) ), member( skol3( Z, Y ), Y ) }.
% 0.73/1.16 { ! member( X, sum_class( Y ) ), member( X, skol3( X, Y ) ) }.
% 0.73/1.16 { ! member( X, Z ), ! member( Z, Y ), member( X, sum_class( Y ) ) }.
% 0.73/1.16 { ! member( X, universal_class ), member( sum_class( X ), universal_class )
% 0.73/1.16 }.
% 0.73/1.16 { ! member( X, power_class( Y ) ), member( X, universal_class ) }.
% 0.73/1.16 { ! member( X, power_class( Y ) ), subclass( X, Y ) }.
% 0.73/1.16 { ! member( X, universal_class ), ! subclass( X, Y ), member( X,
% 0.73/1.16 power_class( Y ) ) }.
% 0.73/1.16 { ! member( X, universal_class ), member( power_class( X ), universal_class
% 0.73/1.16 ) }.
% 0.73/1.16 { subclass( compose( Y, X ), cross_product( universal_class,
% 0.73/1.16 universal_class ) ) }.
% 0.73/1.16 { ! member( ordered_pair( Z, T ), compose( Y, X ) ), member( Z,
% 0.73/1.16 universal_class ) }.
% 0.73/1.16 { ! member( ordered_pair( Z, T ), compose( Y, X ) ), member( T, image( Y,
% 0.73/1.16 image( X, singleton( Z ) ) ) ) }.
% 0.73/1.16 { ! member( Z, universal_class ), ! member( T, image( Y, image( X,
% 0.73/1.16 singleton( Z ) ) ) ), member( ordered_pair( Z, T ), compose( Y, X ) ) }.
% 0.73/1.16 { ! member( X, identity_relation ), member( skol4( Y ), universal_class ) }
% 0.73/1.16 .
% 0.73/1.16 { ! member( X, identity_relation ), X = ordered_pair( skol4( X ), skol4( X
% 0.73/1.16 ) ) }.
% 0.73/1.16 { ! member( Y, universal_class ), ! X = ordered_pair( Y, Y ), member( X,
% 0.73/1.16 identity_relation ) }.
% 0.73/1.16 { ! function( X ), subclass( X, cross_product( universal_class,
% 0.73/1.16 universal_class ) ) }.
% 0.73/1.16 { ! function( X ), subclass( compose( X, inverse( X ) ), identity_relation
% 0.73/1.16 ) }.
% 0.73/1.16 { ! subclass( X, cross_product( universal_class, universal_class ) ), !
% 0.73/1.16 subclass( compose( X, inverse( X ) ), identity_relation ), function( X )
% 0.73/1.16 }.
% 0.73/1.16 { ! member( X, universal_class ), ! function( Y ), member( image( Y, X ),
% 0.73/1.16 universal_class ) }.
% 0.73/1.16 { ! disjoint( X, Y ), ! member( Z, X ), ! member( Z, Y ) }.
% 0.73/1.16 { member( skol5( Z, Y ), Y ), disjoint( X, Y ) }.
% 0.73/1.16 { member( skol5( X, Y ), X ), disjoint( X, Y ) }.
% 0.73/1.16 { X = null_class, member( skol6( Y ), universal_class ) }.
% 0.73/1.16 { X = null_class, member( skol6( X ), X ) }.
% 0.73/1.16 { X = null_class, disjoint( skol6( X ), X ) }.
% 0.73/1.16 { apply( X, Y ) = sum_class( image( X, singleton( Y ) ) ) }.
% 0.73/1.16 { function( skol7 ) }.
% 0.73/1.16 { ! member( X, universal_class ), X = null_class, member( apply( skol7, X )
% 0.73/1.16 , X ) }.
% 0.73/1.16 { ! member( X, universal_class ), member( member_of( singleton( X ) ),
% 0.73/1.16 universal_class ) }.
% 0.73/1.16 { ! member( X, universal_class ), singleton( member_of( singleton( X ) ) )
% 0.73/1.16 = singleton( X ) }.
% 0.73/1.16 { member( member_of( X ), universal_class ), member_of( X ) = X }.
% 0.73/1.16 { singleton( member_of( X ) ) = X, member_of( X ) = X }.
% 0.73/1.16 { ! member( X, universal_class ), ! skol8 = singleton( X ) }.
% 0.73/1.16 { skol8 = skol9 }.
% 0.73/1.16 { ! member_of( skol8 ) = skol9 }.
% 0.73/1.16
% 0.73/1.16 percentage equality = 0.171569, percentage horn = 0.870000
% 0.73/1.16 This is a problem with some equality
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 Options Used:
% 0.73/1.16
% 0.73/1.16 useres = 1
% 0.73/1.54 useparamod = 1
% 0.73/1.54 useeqrefl = 1
% 0.73/1.54 useeqfact = 1
% 0.73/1.54 usefactor = 1
% 0.73/1.54 usesimpsplitting = 0
% 0.73/1.54 usesimpdemod = 5
% 0.73/1.54 usesimpres = 3
% 0.73/1.54
% 0.73/1.54 resimpinuse = 1000
% 0.73/1.54 resimpclauses = 20000
% 0.73/1.54 substype = eqrewr
% 0.73/1.54 backwardsubs = 1
% 0.73/1.54 selectoldest = 5
% 0.73/1.54
% 0.73/1.54 litorderings [0] = split
% 0.73/1.54 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.54
% 0.73/1.54 termordering = kbo
% 0.73/1.54
% 0.73/1.54 litapriori = 0
% 0.73/1.54 termapriori = 1
% 0.73/1.54 litaposteriori = 0
% 0.73/1.54 termaposteriori = 0
% 0.73/1.54 demodaposteriori = 0
% 0.73/1.54 ordereqreflfact = 0
% 0.73/1.54
% 0.73/1.54 litselect = negord
% 0.73/1.54
% 0.73/1.54 maxweight = 15
% 0.73/1.54 maxdepth = 30000
% 0.73/1.54 maxlength = 115
% 0.73/1.54 maxnrvars = 195
% 0.73/1.54 excuselevel = 1
% 0.73/1.54 increasemaxweight = 1
% 0.73/1.54
% 0.73/1.54 maxselected = 10000000
% 0.73/1.54 maxnrclauses = 10000000
% 0.73/1.54
% 0.73/1.54 showgenerated = 0
% 0.73/1.54 showkept = 0
% 0.73/1.54 showselected = 0
% 0.73/1.54 showdeleted = 0
% 0.73/1.54 showresimp = 1
% 0.73/1.54 showstatus = 2000
% 0.73/1.54
% 0.73/1.54 prologoutput = 0
% 0.73/1.54 nrgoals = 5000000
% 0.73/1.54 totalproof = 1
% 0.73/1.54
% 0.73/1.54 Symbols occurring in the translation:
% 0.73/1.54
% 0.73/1.54 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.54 . [1, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.73/1.54 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 0.73/1.54 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.54 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.54 subclass [37, 2] (w:1, o:70, a:1, s:1, b:0),
% 0.73/1.54 member [39, 2] (w:1, o:71, a:1, s:1, b:0),
% 0.73/1.54 universal_class [40, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.73/1.54 unordered_pair [41, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.73/1.54 singleton [42, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.73/1.54 ordered_pair [43, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.73/1.54 cross_product [45, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.73/1.54 first [46, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.73/1.54 second [47, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.73/1.54 element_relation [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.73/1.54 intersection [50, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.73/1.54 complement [51, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.73/1.54 restrict [53, 3] (w:1, o:85, a:1, s:1, b:0),
% 0.73/1.54 null_class [54, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.73/1.54 domain_of [55, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.73/1.54 rotate [57, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.73/1.54 flip [58, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.73/1.54 union [59, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.73/1.54 successor [60, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.73/1.54 successor_relation [61, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.73/1.54 inverse [62, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.73/1.54 range_of [63, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.73/1.54 image [64, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.73/1.54 inductive [65, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.73/1.54 sum_class [66, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.73/1.54 power_class [67, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.73/1.54 compose [69, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.73/1.54 identity_relation [70, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.73/1.54 function [72, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.73/1.54 disjoint [73, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.73/1.54 apply [74, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.73/1.54 member_of [75, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.73/1.54 alpha1 [76, 3] (w:1, o:86, a:1, s:1, b:1),
% 0.73/1.54 alpha2 [77, 2] (w:1, o:81, a:1, s:1, b:1),
% 0.73/1.54 skol1 [78, 2] (w:1, o:82, a:1, s:1, b:1),
% 0.73/1.54 skol2 [79, 0] (w:1, o:20, a:1, s:1, b:1),
% 0.73/1.54 skol3 [80, 2] (w:1, o:83, a:1, s:1, b:1),
% 0.73/1.54 skol4 [81, 1] (w:1, o:44, a:1, s:1, b:1),
% 0.73/1.54 skol5 [82, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.73/1.54 skol6 [83, 1] (w:1, o:45, a:1, s:1, b:1),
% 0.73/1.54 skol7 [84, 0] (w:1, o:21, a:1, s:1, b:1),
% 0.73/1.54 skol8 [85, 0] (w:1, o:22, a:1, s:1, b:1),
% 0.73/1.54 skol9 [86, 0] (w:1, o:23, a:1, s:1, b:1).
% 0.73/1.54
% 0.73/1.54
% 0.73/1.54 Starting Search:
% 0.73/1.54
% 0.73/1.54 *** allocated 15000 integers for clauses
% 0.73/1.54 *** allocated 22500 integers for clauses
% 0.73/1.54 *** allocated 33750 integers for clauses
% 0.73/1.54 *** allocated 15000 integers for termspace/termends
% 0.73/1.54 *** allocated 50625 integers for clauses
% 0.73/1.54 Resimplifying inuse:
% 0.73/1.54 Done
% 0.73/1.54
% 0.73/1.54 *** allocated 22500 integers for termspace/termends
% 0.73/1.54 *** allocated 75937 integers for clauses
% 0.73/1.54 *** allocated 33750 integers for termspace/termends
% 0.73/1.54 *** allocated 113905 integers for clauses
% 0.73/1.54
% 0.73/1.54 Intermediate Status:
% 0.73/1.54 Generated: 5103
% 0.73/1.54 Kept: 2028
% 0.73/1.54 Inuse: 123
% 0.73/1.54 Deleted: 4
% 0.73/1.54 Deletedinuse: 1
% 0.73/1.54
% 0.73/1.54 Resimplifying inuse:
% 0.73/1.54 Done
% 0.73/1.54
% 0.73/1.54 *** allocated 50625 integers for termspace/termends
% 0.73/1.54 *** allocated 170857 integers for clauses
% 0.73/1.54 Resimplifying inuse:
% 0.73/1.54 Done
% 0.73/1.54
% 0.73/1.54 *** allocated 75937 integers for termspace/termends
% 0.73/1.54 *** allocated 256285 integers for clauses
% 0.73/1.54
% 0.73/1.54 Intermediate Status:
% 0.73/1.54 Generated: 9822
% 0.73/1.54 Kept: 4050
% 0.73/1.54 Inuse: 199
% 0.73/1.54 Deleted: 57
% 0.73/1.54 Deletedinuse: 19
% 0.73/1.54
% 0.73/1.54 Resimplifying inuse:
% 0.73/1.54 Done
% 0.73/1.54
% 0.73/1.54 Resimplifying inuse:
% 0.73/1.54 Done
% 0.73/1.54
% 0.73/1.54 *** allocated 113905 integers for termspace/termends
% 0.73/1.54 *** allocated 384427 integers for clauses
% 0.73/1.54
% 0.73/1.54 Intermediate Status:
% 0.73/1.54 Generated: 13710
% 0.73/1.54 Kept: 6120
% 0.73/1.54 Inuse: 255
% 0.73/1.54 Deleted: 76
% 0.73/1.54 Deletedinuse: 25
% 0.73/1.54
% 0.73/1.54 Resimplifying inuse:
% 0.73/1.54 Done
% 0.73/1.54
% 0.73/1.54 Resimplifying inuse:
% 0.73/1.54 Done
% 0.73/1.54
% 0.73/1.54
% 0.73/1.54 Intermediate Status:
% 0.73/1.54 Generated: 17729
% 0.73/1.54 Kept: 8160
% 0.73/1.54 Inuse: 316
% 0.73/1.54 Deleted: 89
% 0.73/1.54 Deletedinuse: 33
% 0.73/1.54
% 0.73/1.54 Resimplifying inuse:
% 0.73/1.54 Done
% 0.73/1.54
% 0.73/1.54 *** allocated 576640 integers for clauses
% 0.73/1.54 *** allocated 170857 integers for termspace/termends
% 0.73/1.54 Resimplifying inuse:
% 0.73/1.54 Done
% 0.73/1.54
% 0.73/1.54
% 0.73/1.54 Bliksems!, er is een bewijs:
% 0.73/1.54 % SZS status Theorem
% 0.73/1.54 % SZS output start Refutation
% 0.73/1.54
% 0.73/1.54 (94) {G0,W8,D3,L2,V1,M2} I { member( member_of( X ), universal_class ),
% 0.73/1.54 member_of( X ) ==> X }.
% 0.73/1.54 (95) {G0,W9,D4,L2,V1,M2} I { singleton( member_of( X ) ) ==> X, member_of(
% 0.73/1.54 X ) ==> X }.
% 0.73/1.54 (96) {G0,W7,D3,L2,V1,M2} I { ! member( X, universal_class ), ! singleton( X
% 0.73/1.54 ) ==> skol8 }.
% 0.73/1.54 (97) {G0,W3,D2,L1,V0,M1} I { skol9 ==> skol8 }.
% 0.73/1.54 (98) {G1,W4,D3,L1,V0,M1} I;d(97) { ! member_of( skol8 ) ==> skol8 }.
% 0.73/1.54 (9893) {G2,W4,D3,L1,V0,M1} R(94,98) { member( member_of( skol8 ),
% 0.73/1.54 universal_class ) }.
% 0.73/1.54 (9986) {G2,W5,D4,L1,V0,M1} R(95,98) { singleton( member_of( skol8 ) ) ==>
% 0.73/1.54 skol8 }.
% 0.73/1.54 (10162) {G3,W0,D0,L0,V0,M0} R(96,9986);r(9893) { }.
% 0.73/1.54
% 0.73/1.54
% 0.73/1.54 % SZS output end Refutation
% 0.73/1.54 found a proof!
% 0.73/1.54
% 0.73/1.54
% 0.73/1.54 Unprocessed initial clauses:
% 0.73/1.54
% 0.73/1.54 (10164) {G0,W9,D2,L3,V3,M3} { ! subclass( X, Y ), ! member( Z, X ), member
% 0.73/1.54 ( Z, Y ) }.
% 0.73/1.54 (10165) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ), subclass( X, Y
% 0.73/1.54 ) }.
% 0.73/1.54 (10166) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subclass( X, Y )
% 0.73/1.54 }.
% 0.73/1.54 (10167) {G0,W3,D2,L1,V1,M1} { subclass( X, universal_class ) }.
% 0.73/1.54 (10168) {G0,W6,D2,L2,V2,M2} { ! X = Y, subclass( X, Y ) }.
% 0.73/1.54 (10169) {G0,W6,D2,L2,V2,M2} { ! X = Y, subclass( Y, X ) }.
% 0.73/1.54 (10170) {G0,W9,D2,L3,V2,M3} { ! subclass( X, Y ), ! subclass( Y, X ), X =
% 0.73/1.54 Y }.
% 0.73/1.54 (10171) {G0,W8,D3,L2,V3,M2} { ! member( X, unordered_pair( Y, Z ) ),
% 0.73/1.54 member( X, universal_class ) }.
% 0.73/1.54 (10172) {G0,W9,D3,L2,V3,M2} { ! member( X, unordered_pair( Y, Z ) ),
% 0.73/1.54 alpha1( X, Y, Z ) }.
% 0.73/1.54 (10173) {G0,W12,D3,L3,V3,M3} { ! member( X, universal_class ), ! alpha1( X
% 0.73/1.54 , Y, Z ), member( X, unordered_pair( Y, Z ) ) }.
% 0.73/1.54 (10174) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), X = Y, X = Z }.
% 0.73/1.54 (10175) {G0,W7,D2,L2,V3,M2} { ! X = Y, alpha1( X, Y, Z ) }.
% 0.73/1.54 (10176) {G0,W7,D2,L2,V3,M2} { ! X = Z, alpha1( X, Y, Z ) }.
% 0.73/1.54 (10177) {G0,W5,D3,L1,V2,M1} { member( unordered_pair( X, Y ),
% 0.73/1.54 universal_class ) }.
% 0.73/1.54 (10178) {G0,W6,D3,L1,V1,M1} { singleton( X ) = unordered_pair( X, X ) }.
% 0.73/1.54 (10179) {G0,W11,D5,L1,V2,M1} { ordered_pair( X, Y ) = unordered_pair(
% 0.73/1.54 singleton( X ), unordered_pair( X, singleton( Y ) ) ) }.
% 0.73/1.54 (10180) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( X, Y ),
% 0.73/1.54 cross_product( Z, T ) ), member( X, Z ) }.
% 0.73/1.54 (10181) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( X, Y ),
% 0.73/1.54 cross_product( Z, T ) ), member( Y, T ) }.
% 0.73/1.54 (10182) {G0,W13,D3,L3,V4,M3} { ! member( X, Z ), ! member( Y, T ), member
% 0.73/1.54 ( ordered_pair( X, Y ), cross_product( Z, T ) ) }.
% 0.73/1.54 (10183) {G0,W12,D4,L3,V2,M3} { ! member( X, universal_class ), ! member( Y
% 0.73/1.54 , universal_class ), first( ordered_pair( X, Y ) ) = X }.
% 0.73/1.54 (10184) {G0,W12,D4,L3,V2,M3} { ! member( X, universal_class ), ! member( Y
% 0.73/1.54 , universal_class ), second( ordered_pair( X, Y ) ) = Y }.
% 0.73/1.54 (10185) {G0,W12,D4,L2,V3,M2} { ! member( X, cross_product( Y, Z ) ), X =
% 0.73/1.54 ordered_pair( first( X ), second( X ) ) }.
% 0.73/1.54 (10186) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 0.73/1.54 element_relation ), member( Y, universal_class ) }.
% 0.73/1.54 (10187) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 0.73/1.54 element_relation ), member( X, Y ) }.
% 0.73/1.54 (10188) {G0,W11,D3,L3,V2,M3} { ! member( Y, universal_class ), ! member( X
% 0.73/1.54 , Y ), member( ordered_pair( X, Y ), element_relation ) }.
% 0.73/1.54 (10189) {G0,W5,D3,L1,V0,M1} { subclass( element_relation, cross_product(
% 0.73/1.54 universal_class, universal_class ) ) }.
% 0.73/1.54 (10190) {G0,W8,D3,L2,V3,M2} { ! member( Z, intersection( X, Y ) ), member
% 0.73/1.54 ( Z, X ) }.
% 0.73/1.54 (10191) {G0,W8,D3,L2,V3,M2} { ! member( Z, intersection( X, Y ) ), member
% 0.73/1.54 ( Z, Y ) }.
% 0.73/1.54 (10192) {G0,W11,D3,L3,V3,M3} { ! member( Z, X ), ! member( Z, Y ), member
% 0.73/1.54 ( Z, intersection( X, Y ) ) }.
% 0.73/1.54 (10193) {G0,W7,D3,L2,V2,M2} { ! member( Y, complement( X ) ), member( Y,
% 0.73/1.54 universal_class ) }.
% 0.73/1.54 (10194) {G0,W7,D3,L2,V2,M2} { ! member( Y, complement( X ) ), ! member( Y
% 0.73/1.54 , X ) }.
% 0.73/1.54 (10195) {G0,W10,D3,L3,V2,M3} { ! member( Y, universal_class ), member( Y,
% 0.73/1.54 X ), member( Y, complement( X ) ) }.
% 0.73/1.54 (10196) {G0,W10,D4,L1,V3,M1} { restrict( Y, X, Z ) = intersection( Y,
% 0.73/1.54 cross_product( X, Z ) ) }.
% 0.73/1.54 (10197) {G0,W3,D2,L1,V1,M1} { ! member( X, null_class ) }.
% 0.73/1.54 (10198) {G0,W7,D3,L2,V2,M2} { ! member( Y, domain_of( X ) ), member( Y,
% 0.73/1.54 universal_class ) }.
% 0.73/1.54 (10199) {G0,W11,D4,L2,V2,M2} { ! member( Y, domain_of( X ) ), ! restrict(
% 0.73/1.54 X, singleton( Y ), universal_class ) = null_class }.
% 0.73/1.54 (10200) {G0,W14,D4,L3,V2,M3} { ! member( Y, universal_class ), restrict( X
% 0.73/1.54 , singleton( Y ), universal_class ) = null_class, member( Y, domain_of( X
% 0.73/1.54 ) ) }.
% 0.73/1.54 (10201) {G0,W19,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( Y, Z
% 0.73/1.54 ), T ), rotate( X ) ), member( ordered_pair( ordered_pair( Y, Z ), T ),
% 0.73/1.54 cross_product( cross_product( universal_class, universal_class ),
% 0.73/1.54 universal_class ) ) }.
% 0.73/1.54 (10202) {G0,W15,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( Y, Z
% 0.73/1.54 ), T ), rotate( X ) ), member( ordered_pair( ordered_pair( Z, T ), Y ),
% 0.73/1.54 X ) }.
% 0.73/1.54 (10203) {G0,W26,D4,L3,V4,M3} { ! member( ordered_pair( ordered_pair( Y, Z
% 0.73/1.54 ), T ), cross_product( cross_product( universal_class, universal_class )
% 0.73/1.54 , universal_class ) ), ! member( ordered_pair( ordered_pair( Z, T ), Y )
% 0.73/1.54 , X ), member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ) }.
% 0.73/1.54 (10204) {G0,W8,D4,L1,V1,M1} { subclass( rotate( X ), cross_product(
% 0.73/1.54 cross_product( universal_class, universal_class ), universal_class ) )
% 0.73/1.54 }.
% 0.73/1.54 (10205) {G0,W19,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( X, Y
% 0.73/1.54 ), Z ), flip( T ) ), member( ordered_pair( ordered_pair( X, Y ), Z ),
% 0.73/1.54 cross_product( cross_product( universal_class, universal_class ),
% 0.73/1.54 universal_class ) ) }.
% 0.73/1.54 (10206) {G0,W15,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( X, Y
% 0.73/1.54 ), Z ), flip( T ) ), member( ordered_pair( ordered_pair( Y, X ), Z ), T
% 0.73/1.54 ) }.
% 0.73/1.54 (10207) {G0,W26,D4,L3,V4,M3} { ! member( ordered_pair( ordered_pair( X, Y
% 0.73/1.54 ), Z ), cross_product( cross_product( universal_class, universal_class )
% 0.73/1.54 , universal_class ) ), ! member( ordered_pair( ordered_pair( Y, X ), Z )
% 0.73/1.54 , T ), member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ) }.
% 0.73/1.54 (10208) {G0,W8,D4,L1,V1,M1} { subclass( flip( X ), cross_product(
% 0.73/1.54 cross_product( universal_class, universal_class ), universal_class ) )
% 0.73/1.54 }.
% 0.73/1.54 (10209) {G0,W11,D3,L3,V3,M3} { ! member( Z, union( X, Y ) ), member( Z, X
% 0.73/1.54 ), member( Z, Y ) }.
% 0.73/1.54 (10210) {G0,W8,D3,L2,V3,M2} { ! member( Z, X ), member( Z, union( X, Y ) )
% 0.73/1.54 }.
% 0.73/1.54 (10211) {G0,W8,D3,L2,V3,M2} { ! member( Z, Y ), member( Z, union( X, Y ) )
% 0.73/1.54 }.
% 0.73/1.54 (10212) {G0,W7,D4,L1,V1,M1} { successor( X ) = union( X, singleton( X ) )
% 0.73/1.54 }.
% 0.73/1.54 (10213) {G0,W5,D3,L1,V0,M1} { subclass( successor_relation, cross_product
% 0.73/1.54 ( universal_class, universal_class ) ) }.
% 0.73/1.54 (10214) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 0.73/1.54 successor_relation ), member( X, universal_class ) }.
% 0.73/1.54 (10215) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 0.73/1.54 successor_relation ), alpha2( X, Y ) }.
% 0.73/1.54 (10216) {G0,W11,D3,L3,V2,M3} { ! member( X, universal_class ), ! alpha2( X
% 0.73/1.54 , Y ), member( ordered_pair( X, Y ), successor_relation ) }.
% 0.73/1.54 (10217) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), member( Y, universal_class
% 0.73/1.54 ) }.
% 0.73/1.54 (10218) {G0,W7,D3,L2,V2,M2} { ! alpha2( X, Y ), successor( X ) = Y }.
% 0.73/1.54 (10219) {G0,W10,D3,L3,V2,M3} { ! member( Y, universal_class ), ! successor
% 0.73/1.54 ( X ) = Y, alpha2( X, Y ) }.
% 0.73/1.54 (10220) {G0,W8,D5,L1,V1,M1} { inverse( X ) = domain_of( flip(
% 0.73/1.54 cross_product( X, universal_class ) ) ) }.
% 0.73/1.54 (10221) {G0,W6,D4,L1,V1,M1} { range_of( X ) = domain_of( inverse( X ) )
% 0.73/1.54 }.
% 0.73/1.54 (10222) {G0,W9,D4,L1,V2,M1} { image( Y, X ) = range_of( restrict( Y, X,
% 0.73/1.54 universal_class ) ) }.
% 0.73/1.54 (10223) {G0,W5,D2,L2,V1,M2} { ! inductive( X ), member( null_class, X )
% 0.73/1.54 }.
% 0.73/1.54 (10224) {G0,W7,D3,L2,V1,M2} { ! inductive( X ), subclass( image(
% 0.73/1.54 successor_relation, X ), X ) }.
% 0.73/1.54 (10225) {G0,W10,D3,L3,V1,M3} { ! member( null_class, X ), ! subclass(
% 0.73/1.54 image( successor_relation, X ), X ), inductive( X ) }.
% 0.73/1.54 (10226) {G0,W3,D2,L1,V0,M1} { member( skol2, universal_class ) }.
% 0.73/1.54 (10227) {G0,W2,D2,L1,V0,M1} { inductive( skol2 ) }.
% 0.73/1.54 (10228) {G0,W5,D2,L2,V1,M2} { ! inductive( X ), subclass( skol2, X ) }.
% 0.73/1.54 (10229) {G0,W9,D3,L2,V3,M2} { ! member( X, sum_class( Y ) ), member( skol3
% 0.73/1.54 ( Z, Y ), Y ) }.
% 0.73/1.54 (10230) {G0,W9,D3,L2,V2,M2} { ! member( X, sum_class( Y ) ), member( X,
% 0.73/1.54 skol3( X, Y ) ) }.
% 0.73/1.54 (10231) {G0,W10,D3,L3,V3,M3} { ! member( X, Z ), ! member( Z, Y ), member
% 0.73/1.54 ( X, sum_class( Y ) ) }.
% 0.73/1.54 (10232) {G0,W7,D3,L2,V1,M2} { ! member( X, universal_class ), member(
% 0.73/1.54 sum_class( X ), universal_class ) }.
% 0.73/1.54 (10233) {G0,W7,D3,L2,V2,M2} { ! member( X, power_class( Y ) ), member( X,
% 0.73/1.54 universal_class ) }.
% 0.73/1.54 (10234) {G0,W7,D3,L2,V2,M2} { ! member( X, power_class( Y ) ), subclass( X
% 0.73/1.54 , Y ) }.
% 0.73/1.54 (10235) {G0,W10,D3,L3,V2,M3} { ! member( X, universal_class ), ! subclass
% 0.73/1.54 ( X, Y ), member( X, power_class( Y ) ) }.
% 0.73/1.54 (10236) {G0,W7,D3,L2,V1,M2} { ! member( X, universal_class ), member(
% 0.73/1.54 power_class( X ), universal_class ) }.
% 0.73/1.54 (10237) {G0,W7,D3,L1,V2,M1} { subclass( compose( Y, X ), cross_product(
% 0.73/1.54 universal_class, universal_class ) ) }.
% 0.73/1.54 (10238) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( Z, T ), compose( Y
% 0.73/1.54 , X ) ), member( Z, universal_class ) }.
% 0.73/1.54 (10239) {G0,W15,D5,L2,V4,M2} { ! member( ordered_pair( Z, T ), compose( Y
% 0.73/1.54 , X ) ), member( T, image( Y, image( X, singleton( Z ) ) ) ) }.
% 0.73/1.54 (10240) {G0,W18,D5,L3,V4,M3} { ! member( Z, universal_class ), ! member( T
% 0.73/1.54 , image( Y, image( X, singleton( Z ) ) ) ), member( ordered_pair( Z, T )
% 0.73/1.54 , compose( Y, X ) ) }.
% 0.73/1.54 (10241) {G0,W7,D3,L2,V2,M2} { ! member( X, identity_relation ), member(
% 0.73/1.54 skol4( Y ), universal_class ) }.
% 0.73/1.54 (10242) {G0,W10,D4,L2,V1,M2} { ! member( X, identity_relation ), X =
% 0.73/1.54 ordered_pair( skol4( X ), skol4( X ) ) }.
% 0.73/1.54 (10243) {G0,W11,D3,L3,V2,M3} { ! member( Y, universal_class ), ! X =
% 0.73/1.54 ordered_pair( Y, Y ), member( X, identity_relation ) }.
% 0.73/1.54 (10244) {G0,W7,D3,L2,V1,M2} { ! function( X ), subclass( X, cross_product
% 0.73/1.54 ( universal_class, universal_class ) ) }.
% 0.73/1.54 (10245) {G0,W8,D4,L2,V1,M2} { ! function( X ), subclass( compose( X,
% 0.73/1.54 inverse( X ) ), identity_relation ) }.
% 0.73/1.54 (10246) {G0,W13,D4,L3,V1,M3} { ! subclass( X, cross_product(
% 0.73/1.54 universal_class, universal_class ) ), ! subclass( compose( X, inverse( X
% 0.73/1.54 ) ), identity_relation ), function( X ) }.
% 0.73/1.54 (10247) {G0,W10,D3,L3,V2,M3} { ! member( X, universal_class ), ! function
% 0.73/1.54 ( Y ), member( image( Y, X ), universal_class ) }.
% 0.73/1.54 (10248) {G0,W9,D2,L3,V3,M3} { ! disjoint( X, Y ), ! member( Z, X ), !
% 0.73/1.54 member( Z, Y ) }.
% 0.73/1.54 (10249) {G0,W8,D3,L2,V3,M2} { member( skol5( Z, Y ), Y ), disjoint( X, Y )
% 0.73/1.54 }.
% 0.73/1.54 (10250) {G0,W8,D3,L2,V2,M2} { member( skol5( X, Y ), X ), disjoint( X, Y )
% 0.73/1.54 }.
% 0.73/1.54 (10251) {G0,W7,D3,L2,V2,M2} { X = null_class, member( skol6( Y ),
% 0.73/1.54 universal_class ) }.
% 0.73/1.54 (10252) {G0,W7,D3,L2,V1,M2} { X = null_class, member( skol6( X ), X ) }.
% 0.73/1.54 (10253) {G0,W7,D3,L2,V1,M2} { X = null_class, disjoint( skol6( X ), X )
% 0.73/1.54 }.
% 0.73/1.54 (10254) {G0,W9,D5,L1,V2,M1} { apply( X, Y ) = sum_class( image( X,
% 0.73/1.54 singleton( Y ) ) ) }.
% 0.73/1.54 (10255) {G0,W2,D2,L1,V0,M1} { function( skol7 ) }.
% 0.73/1.54 (10256) {G0,W11,D3,L3,V1,M3} { ! member( X, universal_class ), X =
% 0.73/1.54 null_class, member( apply( skol7, X ), X ) }.
% 0.73/1.54 (10257) {G0,W8,D4,L2,V1,M2} { ! member( X, universal_class ), member(
% 0.73/1.54 member_of( singleton( X ) ), universal_class ) }.
% 0.73/1.54 (10258) {G0,W10,D5,L2,V1,M2} { ! member( X, universal_class ), singleton(
% 0.73/1.54 member_of( singleton( X ) ) ) = singleton( X ) }.
% 0.73/1.54 (10259) {G0,W8,D3,L2,V1,M2} { member( member_of( X ), universal_class ),
% 0.73/1.54 member_of( X ) = X }.
% 0.73/1.54 (10260) {G0,W9,D4,L2,V1,M2} { singleton( member_of( X ) ) = X, member_of(
% 0.73/1.54 X ) = X }.
% 0.73/1.54 (10261) {G0,W7,D3,L2,V1,M2} { ! member( X, universal_class ), ! skol8 =
% 0.73/1.54 singleton( X ) }.
% 0.73/1.54 (10262) {G0,W3,D2,L1,V0,M1} { skol8 = skol9 }.
% 0.73/1.54 (10263) {G0,W4,D3,L1,V0,M1} { ! member_of( skol8 ) = skol9 }.
% 0.73/1.54
% 0.73/1.54
% 0.73/1.54 Total Proof:
% 0.73/1.54
% 0.73/1.54 subsumption: (94) {G0,W8,D3,L2,V1,M2} I { member( member_of( X ),
% 0.73/1.54 universal_class ), member_of( X ) ==> X }.
% 0.73/1.54 parent0: (10259) {G0,W8,D3,L2,V1,M2} { member( member_of( X ),
% 0.73/1.54 universal_class ), member_of( X ) = X }.
% 0.73/1.54 substitution0:
% 0.73/1.54 X := X
% 0.73/1.54 end
% 0.73/1.54 permutation0:
% 0.73/1.54 0 ==> 0
% 0.73/1.54 1 ==> 1
% 0.73/1.54 end
% 0.73/1.54
% 0.73/1.54 subsumption: (95) {G0,W9,D4,L2,V1,M2} I { singleton( member_of( X ) ) ==> X
% 0.73/1.54 , member_of( X ) ==> X }.
% 0.73/1.54 parent0: (10260) {G0,W9,D4,L2,V1,M2} { singleton( member_of( X ) ) = X,
% 0.73/1.54 member_of( X ) = X }.
% 0.73/1.54 substitution0:
% 0.73/1.54 X := X
% 0.73/1.54 end
% 0.73/1.54 permutation0:
% 0.73/1.54 0 ==> 0
% 0.73/1.54 1 ==> 1
% 0.73/1.54 end
% 0.73/1.54
% 0.73/1.54 eqswap: (10405) {G0,W7,D3,L2,V1,M2} { ! singleton( X ) = skol8, ! member(
% 0.73/1.54 X, universal_class ) }.
% 0.73/1.54 parent0[1]: (10261) {G0,W7,D3,L2,V1,M2} { ! member( X, universal_class ),
% 0.73/1.54 ! skol8 = singleton( X ) }.
% 0.73/1.54 substitution0:
% 0.73/1.54 X := X
% 0.73/1.54 end
% 0.73/1.54
% 0.73/1.54 subsumption: (96) {G0,W7,D3,L2,V1,M2} I { ! member( X, universal_class ), !
% 0.73/1.54 singleton( X ) ==> skol8 }.
% 0.73/1.54 parent0: (10405) {G0,W7,D3,L2,V1,M2} { ! singleton( X ) = skol8, ! member
% 0.73/1.54 ( X, universal_class ) }.
% 0.73/1.54 substitution0:
% 0.73/1.54 X := X
% 0.73/1.54 end
% 0.73/1.54 permutation0:
% 0.73/1.54 0 ==> 1
% 0.73/1.54 1 ==> 0
% 0.73/1.54 end
% 0.73/1.54
% 0.73/1.54 eqswap: (10455) {G0,W3,D2,L1,V0,M1} { skol9 = skol8 }.
% 0.73/1.54 parent0[0]: (10262) {G0,W3,D2,L1,V0,M1} { skol8 = skol9 }.
% 0.73/1.54 substitution0:
% 0.73/1.54 end
% 0.73/1.54
% 0.73/1.54 subsumption: (97) {G0,W3,D2,L1,V0,M1} I { skol9 ==> skol8 }.
% 0.73/1.54 parent0: (10455) {G0,W3,D2,L1,V0,M1} { skol9 = skol8 }.
% 0.73/1.54 substitution0:
% 0.73/1.54 end
% 0.73/1.54 permutation0:
% 0.73/1.54 0 ==> 0
% 0.73/1.54 end
% 0.73/1.54
% 0.73/1.54 paramod: (10610) {G1,W4,D3,L1,V0,M1} { ! member_of( skol8 ) = skol8 }.
% 0.73/1.54 parent0[0]: (97) {G0,W3,D2,L1,V0,M1} I { skol9 ==> skol8 }.
% 0.73/1.54 parent1[0; 4]: (10263) {G0,W4,D3,L1,V0,M1} { ! member_of( skol8 ) = skol9
% 0.73/1.54 }.
% 0.73/1.54 substitution0:
% 0.73/1.54 end
% 0.73/1.54 substitution1:
% 0.73/1.54 end
% 0.73/1.54
% 0.73/1.54 subsumption: (98) {G1,W4,D3,L1,V0,M1} I;d(97) { ! member_of( skol8 ) ==>
% 0.73/1.54 skol8 }.
% 0.73/1.54 parent0: (10610) {G1,W4,D3,L1,V0,M1} { ! member_of( skol8 ) = skol8 }.
% 0.73/1.54 substitution0:
% 0.73/1.54 end
% 0.73/1.54 permutation0:
% 0.73/1.54 0 ==> 0
% 0.73/1.54 end
% 0.73/1.54
% 0.73/1.54 eqswap: (10612) {G0,W8,D3,L2,V1,M2} { X ==> member_of( X ), member(
% 0.73/1.54 member_of( X ), universal_class ) }.
% 0.73/1.54 parent0[1]: (94) {G0,W8,D3,L2,V1,M2} I { member( member_of( X ),
% 0.73/1.54 universal_class ), member_of( X ) ==> X }.
% 0.73/1.54 substitution0:
% 0.73/1.54 X := X
% 0.73/1.54 end
% 0.73/1.54
% 0.73/1.54 eqswap: (10613) {G1,W4,D3,L1,V0,M1} { ! skol8 ==> member_of( skol8 ) }.
% 0.73/1.54 parent0[0]: (98) {G1,W4,D3,L1,V0,M1} I;d(97) { ! member_of( skol8 ) ==>
% 0.73/1.54 skol8 }.
% 0.73/1.54 substitution0:
% 0.73/1.54 end
% 0.73/1.54
% 0.73/1.54 resolution: (10614) {G1,W4,D3,L1,V0,M1} { member( member_of( skol8 ),
% 0.73/1.54 universal_class ) }.
% 0.73/1.54 parent0[0]: (10613) {G1,W4,D3,L1,V0,M1} { ! skol8 ==> member_of( skol8 )
% 0.73/1.54 }.
% 0.73/1.54 parent1[0]: (10612) {G0,W8,D3,L2,V1,M2} { X ==> member_of( X ), member(
% 0.73/1.54 member_of( X ), universal_class ) }.
% 0.73/1.54 substitution0:
% 0.73/1.54 end
% 0.73/1.54 substitution1:
% 0.73/1.54 X := skol8
% 0.73/1.54 end
% 0.73/1.54
% 0.73/1.54 subsumption: (9893) {G2,W4,D3,L1,V0,M1} R(94,98) { member( member_of( skol8
% 0.73/1.54 ), universal_class ) }.
% 0.73/1.54 parent0: (10614) {G1,W4,D3,L1,V0,M1} { member( member_of( skol8 ),
% 0.73/1.54 universal_class ) }.
% 0.73/1.54 substitution0:
% 0.73/1.54 end
% 0.73/1.54 permutation0:
% 0.73/1.54 0 ==> 0
% 0.73/1.54 end
% 0.73/1.54
% 0.73/1.54 eqswap: (10615) {G0,W9,D4,L2,V1,M2} { X ==> singleton( member_of( X ) ),
% 0.73/1.54 member_of( X ) ==> X }.
% 0.73/1.54 parent0[0]: (95) {G0,W9,D4,L2,V1,M2} I { singleton( member_of( X ) ) ==> X
% 0.73/1.54 , member_of( X ) ==> X }.
% 0.73/1.54 substitution0:
% 0.73/1.54 X := X
% 0.73/1.54 end
% 0.73/1.54
% 0.73/1.54 resolution: (10619) {G1,W5,D4,L1,V0,M1} { skol8 ==> singleton( member_of(
% 0.73/1.54 skol8 ) ) }.
% 0.73/1.54 parent0[0]: (98) {G1,W4,D3,L1,V0,M1} I;d(97) { ! member_of( skol8 ) ==>
% 0.73/1.54 skol8 }.
% 0.73/1.54 parent1[1]: (10615) {G0,W9,D4,L2,V1,M2} { X ==> singleton( member_of( X )
% 0.73/1.54 ), member_of( X ) ==> X }.
% 0.73/1.54 substitution0:
% 0.73/1.54 end
% 0.73/1.54 substitution1:
% 0.73/1.54 X := skol8
% 0.73/1.54 end
% 0.73/1.54
% 0.73/1.54 eqswap: (10620) {G1,W5,D4,L1,V0,M1} { singleton( member_of( skol8 ) ) ==>
% 0.73/1.54 skol8 }.
% 0.73/1.54 parent0[0]: (10619) {G1,W5,D4,L1,V0,M1} { skol8 ==> singleton( member_of(
% 0.73/1.54 skol8 ) ) }.
% 0.73/1.54 substitution0:
% 0.73/1.54 end
% 0.73/1.54
% 0.73/1.54 subsumption: (9986) {G2,W5,D4,L1,V0,M1} R(95,98) { singleton( member_of(
% 0.73/1.54 skol8 ) ) ==> skol8 }.
% 0.73/1.54 parent0: (10620) {G1,W5,D4,L1,V0,M1} { singleton( member_of( skol8 ) ) ==>
% 0.73/1.54 skol8 }.
% 0.73/1.54 substitution0:
% 0.73/1.54 end
% 0.73/1.54 permutation0:
% 0.73/1.54 0 ==> 0
% 0.73/1.54 end
% 0.73/1.54
% 0.73/1.54 eqswap: (10621) {G0,W7,D3,L2,V1,M2} { ! skol8 ==> singleton( X ), ! member
% 0.73/1.54 ( X, universal_class ) }.
% 0.73/1.54 parent0[1]: (96) {G0,W7,D3,L2,V1,M2} I { ! member( X, universal_class ), !
% 0.73/1.54 singleton( X ) ==> skol8 }.
% 0.73/1.54 substitution0:
% 0.73/1.54 X := X
% 0.73/1.54 end
% 0.73/1.54
% 0.73/1.54 eqswap: (10622) {G2,W5,D4,L1,V0,M1} { skol8 ==> singleton( member_of(
% 0.73/1.54 skol8 ) ) }.
% 0.73/1.54 parent0[0]: (9986) {G2,W5,D4,L1,V0,M1} R(95,98) { singleton( member_of(
% 0.73/1.54 skol8 ) ) ==> skol8 }.
% 0.73/1.54 substitution0:
% 0.73/1.54 end
% 0.73/1.54
% 0.73/1.54 resolution: (10623) {G1,W4,D3,L1,V0,M1} { ! member( member_of( skol8 ),
% 0.73/1.54 universal_class ) }.
% 0.73/1.54 parent0[0]: (10621) {G0,W7,D3,L2,V1,M2} { ! skol8 ==> singleton( X ), !
% 0.73/1.54 member( X, universal_class ) }.
% 0.73/1.54 parent1[0]: (10622) {G2,W5,D4,L1,V0,M1} { skol8 ==> singleton( member_of(
% 0.73/1.54 skol8 ) ) }.
% 0.73/1.54 substitution0:
% 0.73/1.54 X := member_of( skol8 )
% 0.73/1.54 end
% 0.73/1.54 substitution1:
% 0.73/1.54 end
% 0.73/1.54
% 0.73/1.54 resolution: (10624) {G2,W0,D0,L0,V0,M0} { }.
% 0.73/1.54 parent0[0]: (10623) {G1,W4,D3,L1,V0,M1} { ! member( member_of( skol8 ),
% 0.73/1.54 universal_class ) }.
% 0.73/1.54 parent1[0]: (9893) {G2,W4,D3,L1,V0,M1} R(94,98) { member( member_of( skol8
% 0.73/1.54 ), universal_class ) }.
% 0.73/1.54 substitution0:
% 0.73/1.54 end
% 0.73/1.54 substitution1:
% 0.73/1.54 end
% 0.73/1.54
% 0.73/1.54 subsumption: (10162) {G3,W0,D0,L0,V0,M0} R(96,9986);r(9893) { }.
% 0.73/1.54 parent0: (10624) {G2,W0,D0,L0,V0,M0} { }.
% 0.73/1.54 substitution0:
% 0.73/1.54 end
% 0.73/1.54 permutation0:
% 0.73/1.54 end
% 0.73/1.54
% 0.73/1.54 Proof check complete!
% 0.73/1.54
% 0.73/1.54 Memory use:
% 0.73/1.54
% 0.73/1.54 space for terms: 138112
% 0.73/1.54 space for clauses: 484833
% 0.73/1.54
% 0.73/1.54
% 0.73/1.54 clauses generated: 24519
% 0.73/1.54 clauses kept: 10163
% 0.73/1.54 clauses selected: 368
% 0.73/1.54 clauses deleted: 102
% 0.73/1.54 clauses inuse deleted: 39
% 0.73/1.54
% 0.73/1.54 subsentry: 56507
% 0.73/1.54 literals s-matched: 41438
% 0.73/1.54 literals matched: 41039
% 0.73/1.54 full subsumption: 16440
% 0.73/1.54
% 0.73/1.54 checksum: 276287253
% 0.73/1.54
% 0.73/1.54
% 0.73/1.54 Bliksem ended
%------------------------------------------------------------------------------