TSTP Solution File: SET090+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET090+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 22:46:52 EDT 2022
% Result : Theorem 7.65s 8.06s
% Output : Refutation 7.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET090+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jul 9 22:01:40 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.73/1.13 *** allocated 10000 integers for termspace/termends
% 0.73/1.13 *** allocated 10000 integers for clauses
% 0.73/1.13 *** allocated 10000 integers for justifications
% 0.73/1.13 Bliksem 1.12
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Automatic Strategy Selection
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Clauses:
% 0.73/1.13
% 0.73/1.13 { ! subclass( X, Y ), ! member( Z, X ), member( Z, Y ) }.
% 0.73/1.13 { ! member( skol1( Z, Y ), Y ), subclass( X, Y ) }.
% 0.73/1.13 { member( skol1( X, Y ), X ), subclass( X, Y ) }.
% 0.73/1.13 { subclass( X, universal_class ) }.
% 0.73/1.13 { ! X = Y, subclass( X, Y ) }.
% 0.73/1.13 { ! X = Y, subclass( Y, X ) }.
% 0.73/1.13 { ! subclass( X, Y ), ! subclass( Y, X ), X = Y }.
% 0.73/1.13 { ! member( X, unordered_pair( Y, Z ) ), member( X, universal_class ) }.
% 0.73/1.13 { ! member( X, unordered_pair( Y, Z ) ), alpha1( X, Y, Z ) }.
% 0.73/1.13 { ! member( X, universal_class ), ! alpha1( X, Y, Z ), member( X,
% 0.73/1.13 unordered_pair( Y, Z ) ) }.
% 0.73/1.13 { ! alpha1( X, Y, Z ), X = Y, X = Z }.
% 0.73/1.13 { ! X = Y, alpha1( X, Y, Z ) }.
% 0.73/1.13 { ! X = Z, alpha1( X, Y, Z ) }.
% 0.73/1.13 { member( unordered_pair( X, Y ), universal_class ) }.
% 0.73/1.13 { singleton( X ) = unordered_pair( X, X ) }.
% 0.73/1.13 { ordered_pair( X, Y ) = unordered_pair( singleton( X ), unordered_pair( X
% 0.73/1.13 , singleton( Y ) ) ) }.
% 0.73/1.13 { ! member( ordered_pair( X, Y ), cross_product( Z, T ) ), member( X, Z ) }
% 0.73/1.13 .
% 0.73/1.13 { ! member( ordered_pair( X, Y ), cross_product( Z, T ) ), member( Y, T ) }
% 0.73/1.13 .
% 0.73/1.13 { ! member( X, Z ), ! member( Y, T ), member( ordered_pair( X, Y ),
% 0.73/1.13 cross_product( Z, T ) ) }.
% 0.73/1.13 { ! member( X, universal_class ), ! member( Y, universal_class ), first(
% 0.73/1.13 ordered_pair( X, Y ) ) = X }.
% 0.73/1.13 { ! member( X, universal_class ), ! member( Y, universal_class ), second(
% 0.73/1.13 ordered_pair( X, Y ) ) = Y }.
% 0.73/1.13 { ! member( X, cross_product( Y, Z ) ), X = ordered_pair( first( X ),
% 0.73/1.13 second( X ) ) }.
% 0.73/1.13 { ! member( ordered_pair( X, Y ), element_relation ), member( Y,
% 0.73/1.13 universal_class ) }.
% 0.73/1.13 { ! member( ordered_pair( X, Y ), element_relation ), member( X, Y ) }.
% 0.73/1.13 { ! member( Y, universal_class ), ! member( X, Y ), member( ordered_pair( X
% 0.73/1.13 , Y ), element_relation ) }.
% 0.73/1.13 { subclass( element_relation, cross_product( universal_class,
% 0.73/1.13 universal_class ) ) }.
% 0.73/1.13 { ! member( Z, intersection( X, Y ) ), member( Z, X ) }.
% 0.73/1.13 { ! member( Z, intersection( X, Y ) ), member( Z, Y ) }.
% 0.73/1.13 { ! member( Z, X ), ! member( Z, Y ), member( Z, intersection( X, Y ) ) }.
% 0.73/1.13 { ! member( Y, complement( X ) ), member( Y, universal_class ) }.
% 0.73/1.13 { ! member( Y, complement( X ) ), ! member( Y, X ) }.
% 0.73/1.13 { ! member( Y, universal_class ), member( Y, X ), member( Y, complement( X
% 0.73/1.13 ) ) }.
% 0.73/1.13 { restrict( Y, X, Z ) = intersection( Y, cross_product( X, Z ) ) }.
% 0.73/1.13 { ! member( X, null_class ) }.
% 0.73/1.13 { ! member( Y, domain_of( X ) ), member( Y, universal_class ) }.
% 0.73/1.13 { ! member( Y, domain_of( X ) ), ! restrict( X, singleton( Y ),
% 0.73/1.13 universal_class ) = null_class }.
% 0.73/1.13 { ! member( Y, universal_class ), restrict( X, singleton( Y ),
% 0.73/1.13 universal_class ) = null_class, member( Y, domain_of( X ) ) }.
% 0.73/1.13 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ), member
% 0.73/1.13 ( ordered_pair( ordered_pair( Y, Z ), T ), cross_product( cross_product(
% 0.73/1.13 universal_class, universal_class ), universal_class ) ) }.
% 0.73/1.13 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ), member
% 0.73/1.13 ( ordered_pair( ordered_pair( Z, T ), Y ), X ) }.
% 0.73/1.13 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), cross_product(
% 0.73/1.13 cross_product( universal_class, universal_class ), universal_class ) ), !
% 0.73/1.13 member( ordered_pair( ordered_pair( Z, T ), Y ), X ), member(
% 0.73/1.13 ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ) }.
% 0.73/1.13 { subclass( rotate( X ), cross_product( cross_product( universal_class,
% 0.73/1.13 universal_class ), universal_class ) ) }.
% 0.73/1.13 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ), member(
% 0.73/1.13 ordered_pair( ordered_pair( X, Y ), Z ), cross_product( cross_product(
% 0.73/1.13 universal_class, universal_class ), universal_class ) ) }.
% 0.73/1.13 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ), member(
% 0.73/1.13 ordered_pair( ordered_pair( Y, X ), Z ), T ) }.
% 0.73/1.13 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), cross_product(
% 0.73/1.13 cross_product( universal_class, universal_class ), universal_class ) ), !
% 0.73/1.13 member( ordered_pair( ordered_pair( Y, X ), Z ), T ), member(
% 0.73/1.13 ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ) }.
% 0.73/1.13 { subclass( flip( X ), cross_product( cross_product( universal_class,
% 0.76/1.22 universal_class ), universal_class ) ) }.
% 0.76/1.22 { ! member( Z, union( X, Y ) ), member( Z, X ), member( Z, Y ) }.
% 0.76/1.22 { ! member( Z, X ), member( Z, union( X, Y ) ) }.
% 0.76/1.22 { ! member( Z, Y ), member( Z, union( X, Y ) ) }.
% 0.76/1.22 { successor( X ) = union( X, singleton( X ) ) }.
% 0.76/1.22 { subclass( successor_relation, cross_product( universal_class,
% 0.76/1.22 universal_class ) ) }.
% 0.76/1.22 { ! member( ordered_pair( X, Y ), successor_relation ), member( X,
% 0.76/1.22 universal_class ) }.
% 0.76/1.22 { ! member( ordered_pair( X, Y ), successor_relation ), alpha2( X, Y ) }.
% 0.76/1.22 { ! member( X, universal_class ), ! alpha2( X, Y ), member( ordered_pair( X
% 0.76/1.22 , Y ), successor_relation ) }.
% 0.76/1.22 { ! alpha2( X, Y ), member( Y, universal_class ) }.
% 0.76/1.22 { ! alpha2( X, Y ), successor( X ) = Y }.
% 0.76/1.22 { ! member( Y, universal_class ), ! successor( X ) = Y, alpha2( X, Y ) }.
% 0.76/1.22 { inverse( X ) = domain_of( flip( cross_product( X, universal_class ) ) ) }
% 0.76/1.22 .
% 0.76/1.22 { range_of( X ) = domain_of( inverse( X ) ) }.
% 0.76/1.22 { image( Y, X ) = range_of( restrict( Y, X, universal_class ) ) }.
% 0.76/1.22 { ! inductive( X ), member( null_class, X ) }.
% 0.76/1.22 { ! inductive( X ), subclass( image( successor_relation, X ), X ) }.
% 0.76/1.22 { ! member( null_class, X ), ! subclass( image( successor_relation, X ), X
% 0.76/1.22 ), inductive( X ) }.
% 0.76/1.22 { member( skol2, universal_class ) }.
% 0.76/1.22 { inductive( skol2 ) }.
% 0.76/1.22 { ! inductive( X ), subclass( skol2, X ) }.
% 0.76/1.22 { ! member( X, sum_class( Y ) ), member( skol3( Z, Y ), Y ) }.
% 0.76/1.22 { ! member( X, sum_class( Y ) ), member( X, skol3( X, Y ) ) }.
% 0.76/1.22 { ! member( X, Z ), ! member( Z, Y ), member( X, sum_class( Y ) ) }.
% 0.76/1.22 { ! member( X, universal_class ), member( sum_class( X ), universal_class )
% 0.76/1.22 }.
% 0.76/1.22 { ! member( X, power_class( Y ) ), member( X, universal_class ) }.
% 0.76/1.22 { ! member( X, power_class( Y ) ), subclass( X, Y ) }.
% 0.76/1.22 { ! member( X, universal_class ), ! subclass( X, Y ), member( X,
% 0.76/1.22 power_class( Y ) ) }.
% 0.76/1.22 { ! member( X, universal_class ), member( power_class( X ), universal_class
% 0.76/1.22 ) }.
% 0.76/1.22 { subclass( compose( Y, X ), cross_product( universal_class,
% 0.76/1.22 universal_class ) ) }.
% 0.76/1.22 { ! member( ordered_pair( Z, T ), compose( Y, X ) ), member( Z,
% 0.76/1.22 universal_class ) }.
% 0.76/1.22 { ! member( ordered_pair( Z, T ), compose( Y, X ) ), member( T, image( Y,
% 0.76/1.22 image( X, singleton( Z ) ) ) ) }.
% 0.76/1.22 { ! member( Z, universal_class ), ! member( T, image( Y, image( X,
% 0.76/1.22 singleton( Z ) ) ) ), member( ordered_pair( Z, T ), compose( Y, X ) ) }.
% 0.76/1.22 { ! member( X, identity_relation ), member( skol4( Y ), universal_class ) }
% 0.76/1.22 .
% 0.76/1.22 { ! member( X, identity_relation ), X = ordered_pair( skol4( X ), skol4( X
% 0.76/1.22 ) ) }.
% 0.76/1.22 { ! member( Y, universal_class ), ! X = ordered_pair( Y, Y ), member( X,
% 0.76/1.22 identity_relation ) }.
% 0.76/1.22 { ! function( X ), subclass( X, cross_product( universal_class,
% 0.76/1.22 universal_class ) ) }.
% 0.76/1.22 { ! function( X ), subclass( compose( X, inverse( X ) ), identity_relation
% 0.76/1.22 ) }.
% 0.76/1.22 { ! subclass( X, cross_product( universal_class, universal_class ) ), !
% 0.76/1.22 subclass( compose( X, inverse( X ) ), identity_relation ), function( X )
% 0.76/1.22 }.
% 0.76/1.22 { ! member( X, universal_class ), ! function( Y ), member( image( Y, X ),
% 0.76/1.22 universal_class ) }.
% 0.76/1.22 { ! disjoint( X, Y ), ! member( Z, X ), ! member( Z, Y ) }.
% 0.76/1.22 { member( skol5( Z, Y ), Y ), disjoint( X, Y ) }.
% 0.76/1.22 { member( skol5( X, Y ), X ), disjoint( X, Y ) }.
% 0.76/1.22 { X = null_class, member( skol6( Y ), universal_class ) }.
% 0.76/1.22 { X = null_class, member( skol6( X ), X ) }.
% 0.76/1.22 { X = null_class, disjoint( skol6( X ), X ) }.
% 0.76/1.22 { apply( X, Y ) = sum_class( image( X, singleton( Y ) ) ) }.
% 0.76/1.22 { function( skol7 ) }.
% 0.76/1.22 { ! member( X, universal_class ), X = null_class, member( apply( skol7, X )
% 0.76/1.22 , X ) }.
% 0.76/1.22 { ! member( X, universal_class ), member( member_of( singleton( X ) ),
% 0.76/1.22 universal_class ) }.
% 0.76/1.22 { ! member( X, universal_class ), singleton( member_of( singleton( X ) ) )
% 0.76/1.22 = singleton( X ) }.
% 0.76/1.22 { member( member_of( X ), universal_class ), member_of( X ) = X }.
% 0.76/1.22 { singleton( member_of( X ) ) = X, member_of( X ) = X }.
% 0.76/1.22 { member( skol9, universal_class ) }.
% 0.76/1.22 { skol8 = singleton( skol9 ) }.
% 0.76/1.22 { ! member_of( skol8 ) = skol9 }.
% 0.76/1.22
% 0.76/1.22 percentage equality = 0.167488, percentage horn = 0.870000
% 0.76/1.22 This is a problem with some equality
% 0.76/1.22
% 0.76/1.22
% 0.76/1.22
% 0.76/1.22 Options Used:
% 0.76/1.22
% 0.76/1.22 useres = 1
% 0.76/1.22 useparamod = 1
% 7.65/8.06 useeqrefl = 1
% 7.65/8.06 useeqfact = 1
% 7.65/8.06 usefactor = 1
% 7.65/8.06 usesimpsplitting = 0
% 7.65/8.06 usesimpdemod = 5
% 7.65/8.06 usesimpres = 3
% 7.65/8.06
% 7.65/8.06 resimpinuse = 1000
% 7.65/8.06 resimpclauses = 20000
% 7.65/8.06 substype = eqrewr
% 7.65/8.06 backwardsubs = 1
% 7.65/8.06 selectoldest = 5
% 7.65/8.06
% 7.65/8.06 litorderings [0] = split
% 7.65/8.06 litorderings [1] = extend the termordering, first sorting on arguments
% 7.65/8.06
% 7.65/8.06 termordering = kbo
% 7.65/8.06
% 7.65/8.06 litapriori = 0
% 7.65/8.06 termapriori = 1
% 7.65/8.06 litaposteriori = 0
% 7.65/8.06 termaposteriori = 0
% 7.65/8.06 demodaposteriori = 0
% 7.65/8.06 ordereqreflfact = 0
% 7.65/8.06
% 7.65/8.06 litselect = negord
% 7.65/8.06
% 7.65/8.06 maxweight = 15
% 7.65/8.06 maxdepth = 30000
% 7.65/8.06 maxlength = 115
% 7.65/8.06 maxnrvars = 195
% 7.65/8.06 excuselevel = 1
% 7.65/8.06 increasemaxweight = 1
% 7.65/8.06
% 7.65/8.06 maxselected = 10000000
% 7.65/8.06 maxnrclauses = 10000000
% 7.65/8.06
% 7.65/8.06 showgenerated = 0
% 7.65/8.06 showkept = 0
% 7.65/8.06 showselected = 0
% 7.65/8.06 showdeleted = 0
% 7.65/8.06 showresimp = 1
% 7.65/8.06 showstatus = 2000
% 7.65/8.06
% 7.65/8.06 prologoutput = 0
% 7.65/8.06 nrgoals = 5000000
% 7.65/8.06 totalproof = 1
% 7.65/8.06
% 7.65/8.06 Symbols occurring in the translation:
% 7.65/8.06
% 7.65/8.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 7.65/8.06 . [1, 2] (w:1, o:46, a:1, s:1, b:0),
% 7.65/8.06 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 7.65/8.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.65/8.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.65/8.06 subclass [37, 2] (w:1, o:70, a:1, s:1, b:0),
% 7.65/8.06 member [39, 2] (w:1, o:71, a:1, s:1, b:0),
% 7.65/8.06 universal_class [40, 0] (w:1, o:12, a:1, s:1, b:0),
% 7.65/8.06 unordered_pair [41, 2] (w:1, o:72, a:1, s:1, b:0),
% 7.65/8.06 singleton [42, 1] (w:1, o:31, a:1, s:1, b:0),
% 7.65/8.06 ordered_pair [43, 2] (w:1, o:73, a:1, s:1, b:0),
% 7.65/8.06 cross_product [45, 2] (w:1, o:74, a:1, s:1, b:0),
% 7.65/8.06 first [46, 1] (w:1, o:32, a:1, s:1, b:0),
% 7.65/8.06 second [47, 1] (w:1, o:33, a:1, s:1, b:0),
% 7.65/8.06 element_relation [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 7.65/8.06 intersection [50, 2] (w:1, o:76, a:1, s:1, b:0),
% 7.65/8.06 complement [51, 1] (w:1, o:34, a:1, s:1, b:0),
% 7.65/8.06 restrict [53, 3] (w:1, o:85, a:1, s:1, b:0),
% 7.65/8.06 null_class [54, 0] (w:1, o:17, a:1, s:1, b:0),
% 7.65/8.06 domain_of [55, 1] (w:1, o:35, a:1, s:1, b:0),
% 7.65/8.06 rotate [57, 1] (w:1, o:29, a:1, s:1, b:0),
% 7.65/8.06 flip [58, 1] (w:1, o:36, a:1, s:1, b:0),
% 7.65/8.06 union [59, 2] (w:1, o:77, a:1, s:1, b:0),
% 7.65/8.06 successor [60, 1] (w:1, o:37, a:1, s:1, b:0),
% 7.65/8.06 successor_relation [61, 0] (w:1, o:18, a:1, s:1, b:0),
% 7.65/8.06 inverse [62, 1] (w:1, o:38, a:1, s:1, b:0),
% 7.65/8.06 range_of [63, 1] (w:1, o:30, a:1, s:1, b:0),
% 7.65/8.06 image [64, 2] (w:1, o:75, a:1, s:1, b:0),
% 7.65/8.06 inductive [65, 1] (w:1, o:39, a:1, s:1, b:0),
% 7.65/8.06 sum_class [66, 1] (w:1, o:40, a:1, s:1, b:0),
% 7.65/8.06 power_class [67, 1] (w:1, o:41, a:1, s:1, b:0),
% 7.65/8.06 compose [69, 2] (w:1, o:78, a:1, s:1, b:0),
% 7.65/8.06 identity_relation [70, 0] (w:1, o:19, a:1, s:1, b:0),
% 7.65/8.06 function [72, 1] (w:1, o:42, a:1, s:1, b:0),
% 7.65/8.06 disjoint [73, 2] (w:1, o:79, a:1, s:1, b:0),
% 7.65/8.06 apply [74, 2] (w:1, o:80, a:1, s:1, b:0),
% 7.65/8.06 member_of [75, 1] (w:1, o:43, a:1, s:1, b:0),
% 7.65/8.06 alpha1 [76, 3] (w:1, o:86, a:1, s:1, b:1),
% 7.65/8.06 alpha2 [77, 2] (w:1, o:81, a:1, s:1, b:1),
% 7.65/8.06 skol1 [78, 2] (w:1, o:82, a:1, s:1, b:1),
% 7.65/8.06 skol2 [79, 0] (w:1, o:20, a:1, s:1, b:1),
% 7.65/8.06 skol3 [80, 2] (w:1, o:83, a:1, s:1, b:1),
% 7.65/8.06 skol4 [81, 1] (w:1, o:44, a:1, s:1, b:1),
% 7.65/8.06 skol5 [82, 2] (w:1, o:84, a:1, s:1, b:1),
% 7.65/8.06 skol6 [83, 1] (w:1, o:45, a:1, s:1, b:1),
% 7.65/8.06 skol7 [84, 0] (w:1, o:21, a:1, s:1, b:1),
% 7.65/8.06 skol8 [85, 0] (w:1, o:22, a:1, s:1, b:1),
% 7.65/8.06 skol9 [86, 0] (w:1, o:23, a:1, s:1, b:1).
% 7.65/8.06
% 7.65/8.06
% 7.65/8.06 Starting Search:
% 7.65/8.06
% 7.65/8.06 *** allocated 15000 integers for clauses
% 7.65/8.06 *** allocated 22500 integers for clauses
% 7.65/8.06 *** allocated 33750 integers for clauses
% 7.65/8.06 *** allocated 15000 integers for termspace/termends
% 7.65/8.06 *** allocated 50625 integers for clauses
% 7.65/8.06 *** allocated 22500 integers for termspace/termends
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06 *** allocated 75937 integers for clauses
% 7.65/8.06 *** allocated 33750 integers for termspace/termends
% 7.65/8.06 *** allocated 113905 integers for clauses
% 7.65/8.06
% 7.65/8.06 Intermediate Status:
% 7.65/8.06 Generated: 5104
% 7.65/8.06 Kept: 2046
% 7.65/8.06 Inuse: 123
% 7.65/8.06 Deleted: 5
% 7.65/8.06 Deletedinuse: 2
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06 *** allocated 170857 integers for clauses
% 7.65/8.06 *** allocated 50625 integers for termspace/termends
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06 *** allocated 75937 integers for termspace/termends
% 7.65/8.06 *** allocated 256285 integers for clauses
% 7.65/8.06
% 7.65/8.06 Intermediate Status:
% 7.65/8.06 Generated: 10037
% 7.65/8.06 Kept: 4047
% 7.65/8.06 Inuse: 198
% 7.65/8.06 Deleted: 53
% 7.65/8.06 Deletedinuse: 19
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06 *** allocated 113905 integers for termspace/termends
% 7.65/8.06 *** allocated 384427 integers for clauses
% 7.65/8.06
% 7.65/8.06 Intermediate Status:
% 7.65/8.06 Generated: 13835
% 7.65/8.06 Kept: 6107
% 7.65/8.06 Inuse: 254
% 7.65/8.06 Deleted: 72
% 7.65/8.06 Deletedinuse: 25
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06 *** allocated 576640 integers for clauses
% 7.65/8.06
% 7.65/8.06 Intermediate Status:
% 7.65/8.06 Generated: 17699
% 7.65/8.06 Kept: 8126
% 7.65/8.06 Inuse: 314
% 7.65/8.06 Deleted: 82
% 7.65/8.06 Deletedinuse: 33
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06 *** allocated 170857 integers for termspace/termends
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06
% 7.65/8.06 Intermediate Status:
% 7.65/8.06 Generated: 23996
% 7.65/8.06 Kept: 10154
% 7.65/8.06 Inuse: 353
% 7.65/8.06 Deleted: 90
% 7.65/8.06 Deletedinuse: 37
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06 *** allocated 864960 integers for clauses
% 7.65/8.06
% 7.65/8.06 Intermediate Status:
% 7.65/8.06 Generated: 27973
% 7.65/8.06 Kept: 12536
% 7.65/8.06 Inuse: 378
% 7.65/8.06 Deleted: 92
% 7.65/8.06 Deletedinuse: 39
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06 *** allocated 256285 integers for termspace/termends
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06
% 7.65/8.06 Intermediate Status:
% 7.65/8.06 Generated: 35009
% 7.65/8.06 Kept: 15344
% 7.65/8.06 Inuse: 388
% 7.65/8.06 Deleted: 94
% 7.65/8.06 Deletedinuse: 41
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06
% 7.65/8.06 Intermediate Status:
% 7.65/8.06 Generated: 39591
% 7.65/8.06 Kept: 17404
% 7.65/8.06 Inuse: 440
% 7.65/8.06 Deleted: 99
% 7.65/8.06 Deletedinuse: 44
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06 *** allocated 1297440 integers for clauses
% 7.65/8.06
% 7.65/8.06 Intermediate Status:
% 7.65/8.06 Generated: 43826
% 7.65/8.06 Kept: 19432
% 7.65/8.06 Inuse: 480
% 7.65/8.06 Deleted: 101
% 7.65/8.06 Deletedinuse: 45
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06 *** allocated 384427 integers for termspace/termends
% 7.65/8.06 Resimplifying clauses:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06
% 7.65/8.06 Intermediate Status:
% 7.65/8.06 Generated: 50045
% 7.65/8.06 Kept: 21860
% 7.65/8.06 Inuse: 517
% 7.65/8.06 Deleted: 1121
% 7.65/8.06 Deletedinuse: 48
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06
% 7.65/8.06 Intermediate Status:
% 7.65/8.06 Generated: 56741
% 7.65/8.06 Kept: 23912
% 7.65/8.06 Inuse: 541
% 7.65/8.06 Deleted: 1121
% 7.65/8.06 Deletedinuse: 48
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06
% 7.65/8.06 Intermediate Status:
% 7.65/8.06 Generated: 63030
% 7.65/8.06 Kept: 25912
% 7.65/8.06 Inuse: 595
% 7.65/8.06 Deleted: 1122
% 7.65/8.06 Deletedinuse: 48
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06
% 7.65/8.06 Intermediate Status:
% 7.65/8.06 Generated: 70748
% 7.65/8.06 Kept: 27945
% 7.65/8.06 Inuse: 648
% 7.65/8.06 Deleted: 1123
% 7.65/8.06 Deletedinuse: 49
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06 *** allocated 1946160 integers for clauses
% 7.65/8.06 *** allocated 576640 integers for termspace/termends
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06
% 7.65/8.06 Intermediate Status:
% 7.65/8.06 Generated: 78679
% 7.65/8.06 Kept: 29955
% 7.65/8.06 Inuse: 705
% 7.65/8.06 Deleted: 1123
% 7.65/8.06 Deletedinuse: 49
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06
% 7.65/8.06 Intermediate Status:
% 7.65/8.06 Generated: 84744
% 7.65/8.06 Kept: 31979
% 7.65/8.06 Inuse: 752
% 7.65/8.06 Deleted: 1123
% 7.65/8.06 Deletedinuse: 49
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06
% 7.65/8.06 Intermediate Status:
% 7.65/8.06 Generated: 94032
% 7.65/8.06 Kept: 34116
% 7.65/8.06 Inuse: 811
% 7.65/8.06 Deleted: 1123
% 7.65/8.06 Deletedinuse: 49
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06
% 7.65/8.06 Intermediate Status:
% 7.65/8.06 Generated: 103089
% 7.65/8.06 Kept: 36147
% 7.65/8.06 Inuse: 854
% 7.65/8.06 Deleted: 1123
% 7.65/8.06 Deletedinuse: 49
% 7.65/8.06
% 7.65/8.06 Resimplifying inuse:
% 7.65/8.06 Done
% 7.65/8.06
% 7.65/8.06
% 7.65/8.06 Bliksems!, er is een bewijs:
% 7.65/8.06 % SZS status Theorem
% 7.65/8.06 % SZS output start Refutation
% 7.65/8.06
% 7.65/8.06 (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X ), member( Z
% 7.65/8.06 , Y ) }.
% 7.65/8.06 (3) {G0,W3,D2,L1,V1,M1} I { subclass( X, universal_class ) }.
% 7.65/8.06 (7) {G0,W9,D3,L2,V3,M2} I { ! member( X, unordered_pair( Y, Z ) ), alpha1(
% 7.65/8.06 X, Y, Z ) }.
% 7.65/8.06 (8) {G0,W12,D3,L3,V3,M3} I { ! member( X, universal_class ), ! alpha1( X, Y
% 7.65/8.06 , Z ), member( X, unordered_pair( Y, Z ) ) }.
% 7.65/8.06 (9) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), X = Y, X = Z }.
% 7.65/8.06 (11) {G0,W7,D2,L2,V3,M2} I { ! X = Z, alpha1( X, Y, Z ) }.
% 7.65/8.06 (13) {G0,W6,D3,L1,V1,M1} I { unordered_pair( X, X ) ==> singleton( X ) }.
% 7.65/8.06 (14) {G0,W11,D5,L1,V2,M1} I { unordered_pair( singleton( X ),
% 7.65/8.06 unordered_pair( X, singleton( Y ) ) ) ==> ordered_pair( X, Y ) }.
% 7.65/8.06 (16) {G0,W10,D3,L2,V4,M2} I { ! member( ordered_pair( X, Y ), cross_product
% 7.65/8.06 ( Z, T ) ), member( Y, T ) }.
% 7.65/8.06 (17) {G0,W13,D3,L3,V4,M3} I { ! member( X, Z ), ! member( Y, T ), member(
% 7.65/8.06 ordered_pair( X, Y ), cross_product( Z, T ) ) }.
% 7.65/8.06 (93) {G0,W10,D5,L2,V1,M2} I { ! member( X, universal_class ), singleton(
% 7.65/8.06 member_of( singleton( X ) ) ) ==> singleton( X ) }.
% 7.65/8.06 (96) {G0,W3,D2,L1,V0,M1} I { member( skol9, universal_class ) }.
% 7.65/8.06 (97) {G0,W4,D3,L1,V0,M1} I { singleton( skol9 ) ==> skol8 }.
% 7.65/8.06 (98) {G0,W4,D3,L1,V0,M1} I { ! member_of( skol8 ) ==> skol9 }.
% 7.65/8.06 (100) {G1,W7,D2,L2,V2,M2} F(9) { ! alpha1( X, Y, Y ), X = Y }.
% 7.65/8.06 (104) {G1,W4,D2,L1,V2,M1} Q(11) { alpha1( X, Y, X ) }.
% 7.65/8.06 (105) {G1,W10,D3,L2,V2,M2} F(17) { ! member( X, Y ), member( ordered_pair(
% 7.65/8.06 X, X ), cross_product( Y, Y ) ) }.
% 7.65/8.06 (120) {G1,W6,D2,L2,V1,M2} R(96,0) { ! subclass( universal_class, X ),
% 7.65/8.06 member( skol9, X ) }.
% 7.65/8.06 (252) {G1,W9,D3,L2,V2,M2} R(8,96) { ! alpha1( skol9, X, Y ), member( skol9
% 7.65/8.06 , unordered_pair( X, Y ) ) }.
% 7.65/8.06 (660) {G1,W10,D4,L1,V1,M1} P(97,14) { unordered_pair( singleton( X ),
% 7.65/8.06 unordered_pair( X, skol8 ) ) ==> ordered_pair( X, skol9 ) }.
% 7.65/8.06 (10555) {G2,W5,D4,L1,V0,M1} R(93,120);d(97);r(3) { singleton( member_of(
% 7.65/8.06 skol8 ) ) ==> skol8 }.
% 7.65/8.06 (10628) {G3,W8,D4,L1,V1,M1} P(10555,14);d(660) { ordered_pair( X, member_of
% 7.65/8.06 ( skol8 ) ) ==> ordered_pair( X, skol9 ) }.
% 7.65/8.06 (12445) {G2,W8,D3,L2,V1,M2} P(100,98) { ! X = skol9, ! alpha1( member_of(
% 7.65/8.06 skol8 ), X, X ) }.
% 7.65/8.06 (12460) {G3,W5,D3,L1,V0,M1} Q(12445) { ! alpha1( member_of( skol8 ), skol9
% 7.65/8.06 , skol9 ) }.
% 7.65/8.06 (19757) {G4,W4,D3,L1,V0,M1} R(12460,7);d(13);d(97) { ! member( member_of(
% 7.65/8.06 skol8 ), skol8 ) }.
% 7.65/8.06 (19851) {G5,W7,D3,L1,V2,M1} R(19757,16);d(10628) { ! member( ordered_pair(
% 7.65/8.06 X, skol9 ), cross_product( Y, skol8 ) ) }.
% 7.65/8.06 (37432) {G2,W13,D3,L3,V3,M3} P(100,252) { ! alpha1( X, Y, Z ), member( X,
% 7.65/8.06 unordered_pair( Y, Z ) ), ! alpha1( skol9, X, X ) }.
% 7.65/8.06 (37442) {G3,W3,D2,L1,V0,M1} F(37432);d(13);d(97);r(104) { member( skol9,
% 7.65/8.06 skol8 ) }.
% 7.65/8.06 (37453) {G6,W0,D0,L0,V0,M0} R(37442,105);r(19851) { }.
% 7.65/8.06
% 7.65/8.06
% 7.65/8.06 % SZS output end Refutation
% 7.65/8.06 found a proof!
% 7.65/8.06
% 7.65/8.06
% 7.65/8.06 Unprocessed initial clauses:
% 7.65/8.06
% 7.65/8.06 (37455) {G0,W9,D2,L3,V3,M3} { ! subclass( X, Y ), ! member( Z, X ), member
% 7.65/8.06 ( Z, Y ) }.
% 7.65/8.06 (37456) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ), subclass( X, Y
% 7.65/8.06 ) }.
% 7.65/8.06 (37457) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subclass( X, Y )
% 7.65/8.06 }.
% 7.65/8.06 (37458) {G0,W3,D2,L1,V1,M1} { subclass( X, universal_class ) }.
% 7.65/8.06 (37459) {G0,W6,D2,L2,V2,M2} { ! X = Y, subclass( X, Y ) }.
% 7.65/8.06 (37460) {G0,W6,D2,L2,V2,M2} { ! X = Y, subclass( Y, X ) }.
% 7.65/8.06 (37461) {G0,W9,D2,L3,V2,M3} { ! subclass( X, Y ), ! subclass( Y, X ), X =
% 7.65/8.06 Y }.
% 7.65/8.06 (37462) {G0,W8,D3,L2,V3,M2} { ! member( X, unordered_pair( Y, Z ) ),
% 7.65/8.06 member( X, universal_class ) }.
% 7.65/8.06 (37463) {G0,W9,D3,L2,V3,M2} { ! member( X, unordered_pair( Y, Z ) ),
% 7.65/8.06 alpha1( X, Y, Z ) }.
% 7.65/8.06 (37464) {G0,W12,D3,L3,V3,M3} { ! member( X, universal_class ), ! alpha1( X
% 7.65/8.06 , Y, Z ), member( X, unordered_pair( Y, Z ) ) }.
% 7.65/8.06 (37465) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), X = Y, X = Z }.
% 7.65/8.06 (37466) {G0,W7,D2,L2,V3,M2} { ! X = Y, alpha1( X, Y, Z ) }.
% 7.65/8.06 (37467) {G0,W7,D2,L2,V3,M2} { ! X = Z, alpha1( X, Y, Z ) }.
% 7.65/8.06 (37468) {G0,W5,D3,L1,V2,M1} { member( unordered_pair( X, Y ),
% 7.65/8.06 universal_class ) }.
% 7.65/8.06 (37469) {G0,W6,D3,L1,V1,M1} { singleton( X ) = unordered_pair( X, X ) }.
% 7.65/8.06 (37470) {G0,W11,D5,L1,V2,M1} { ordered_pair( X, Y ) = unordered_pair(
% 7.65/8.06 singleton( X ), unordered_pair( X, singleton( Y ) ) ) }.
% 7.65/8.06 (37471) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( X, Y ),
% 7.65/8.06 cross_product( Z, T ) ), member( X, Z ) }.
% 7.65/8.06 (37472) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( X, Y ),
% 7.65/8.06 cross_product( Z, T ) ), member( Y, T ) }.
% 7.65/8.06 (37473) {G0,W13,D3,L3,V4,M3} { ! member( X, Z ), ! member( Y, T ), member
% 7.65/8.06 ( ordered_pair( X, Y ), cross_product( Z, T ) ) }.
% 7.65/8.06 (37474) {G0,W12,D4,L3,V2,M3} { ! member( X, universal_class ), ! member( Y
% 7.65/8.06 , universal_class ), first( ordered_pair( X, Y ) ) = X }.
% 7.65/8.06 (37475) {G0,W12,D4,L3,V2,M3} { ! member( X, universal_class ), ! member( Y
% 7.65/8.06 , universal_class ), second( ordered_pair( X, Y ) ) = Y }.
% 7.65/8.06 (37476) {G0,W12,D4,L2,V3,M2} { ! member( X, cross_product( Y, Z ) ), X =
% 7.65/8.06 ordered_pair( first( X ), second( X ) ) }.
% 7.65/8.06 (37477) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 7.65/8.06 element_relation ), member( Y, universal_class ) }.
% 7.65/8.06 (37478) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 7.65/8.06 element_relation ), member( X, Y ) }.
% 7.65/8.06 (37479) {G0,W11,D3,L3,V2,M3} { ! member( Y, universal_class ), ! member( X
% 7.65/8.06 , Y ), member( ordered_pair( X, Y ), element_relation ) }.
% 7.65/8.06 (37480) {G0,W5,D3,L1,V0,M1} { subclass( element_relation, cross_product(
% 7.65/8.06 universal_class, universal_class ) ) }.
% 7.65/8.06 (37481) {G0,W8,D3,L2,V3,M2} { ! member( Z, intersection( X, Y ) ), member
% 7.65/8.06 ( Z, X ) }.
% 7.65/8.06 (37482) {G0,W8,D3,L2,V3,M2} { ! member( Z, intersection( X, Y ) ), member
% 7.65/8.06 ( Z, Y ) }.
% 7.65/8.06 (37483) {G0,W11,D3,L3,V3,M3} { ! member( Z, X ), ! member( Z, Y ), member
% 7.65/8.06 ( Z, intersection( X, Y ) ) }.
% 7.65/8.06 (37484) {G0,W7,D3,L2,V2,M2} { ! member( Y, complement( X ) ), member( Y,
% 7.65/8.06 universal_class ) }.
% 7.65/8.06 (37485) {G0,W7,D3,L2,V2,M2} { ! member( Y, complement( X ) ), ! member( Y
% 7.65/8.06 , X ) }.
% 7.65/8.06 (37486) {G0,W10,D3,L3,V2,M3} { ! member( Y, universal_class ), member( Y,
% 7.65/8.06 X ), member( Y, complement( X ) ) }.
% 7.65/8.06 (37487) {G0,W10,D4,L1,V3,M1} { restrict( Y, X, Z ) = intersection( Y,
% 7.65/8.06 cross_product( X, Z ) ) }.
% 7.65/8.06 (37488) {G0,W3,D2,L1,V1,M1} { ! member( X, null_class ) }.
% 7.65/8.06 (37489) {G0,W7,D3,L2,V2,M2} { ! member( Y, domain_of( X ) ), member( Y,
% 7.65/8.06 universal_class ) }.
% 7.65/8.06 (37490) {G0,W11,D4,L2,V2,M2} { ! member( Y, domain_of( X ) ), ! restrict(
% 7.65/8.06 X, singleton( Y ), universal_class ) = null_class }.
% 7.65/8.06 (37491) {G0,W14,D4,L3,V2,M3} { ! member( Y, universal_class ), restrict( X
% 7.65/8.06 , singleton( Y ), universal_class ) = null_class, member( Y, domain_of( X
% 7.65/8.06 ) ) }.
% 7.65/8.06 (37492) {G0,W19,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( Y, Z
% 7.65/8.06 ), T ), rotate( X ) ), member( ordered_pair( ordered_pair( Y, Z ), T ),
% 7.65/8.06 cross_product( cross_product( universal_class, universal_class ),
% 7.65/8.06 universal_class ) ) }.
% 7.65/8.06 (37493) {G0,W15,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( Y, Z
% 7.65/8.06 ), T ), rotate( X ) ), member( ordered_pair( ordered_pair( Z, T ), Y ),
% 7.65/8.06 X ) }.
% 7.65/8.06 (37494) {G0,W26,D4,L3,V4,M3} { ! member( ordered_pair( ordered_pair( Y, Z
% 7.65/8.06 ), T ), cross_product( cross_product( universal_class, universal_class )
% 7.65/8.06 , universal_class ) ), ! member( ordered_pair( ordered_pair( Z, T ), Y )
% 7.65/8.06 , X ), member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ) }.
% 7.65/8.06 (37495) {G0,W8,D4,L1,V1,M1} { subclass( rotate( X ), cross_product(
% 7.65/8.06 cross_product( universal_class, universal_class ), universal_class ) )
% 7.65/8.06 }.
% 7.65/8.06 (37496) {G0,W19,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( X, Y
% 7.65/8.06 ), Z ), flip( T ) ), member( ordered_pair( ordered_pair( X, Y ), Z ),
% 7.65/8.06 cross_product( cross_product( universal_class, universal_class ),
% 7.65/8.06 universal_class ) ) }.
% 7.65/8.06 (37497) {G0,W15,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( X, Y
% 7.65/8.06 ), Z ), flip( T ) ), member( ordered_pair( ordered_pair( Y, X ), Z ), T
% 7.65/8.06 ) }.
% 7.65/8.06 (37498) {G0,W26,D4,L3,V4,M3} { ! member( ordered_pair( ordered_pair( X, Y
% 7.65/8.06 ), Z ), cross_product( cross_product( universal_class, universal_class )
% 7.65/8.06 , universal_class ) ), ! member( ordered_pair( ordered_pair( Y, X ), Z )
% 7.65/8.06 , T ), member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ) }.
% 7.65/8.06 (37499) {G0,W8,D4,L1,V1,M1} { subclass( flip( X ), cross_product(
% 7.65/8.06 cross_product( universal_class, universal_class ), universal_class ) )
% 7.65/8.06 }.
% 7.65/8.06 (37500) {G0,W11,D3,L3,V3,M3} { ! member( Z, union( X, Y ) ), member( Z, X
% 7.65/8.06 ), member( Z, Y ) }.
% 7.65/8.06 (37501) {G0,W8,D3,L2,V3,M2} { ! member( Z, X ), member( Z, union( X, Y ) )
% 7.65/8.06 }.
% 7.65/8.06 (37502) {G0,W8,D3,L2,V3,M2} { ! member( Z, Y ), member( Z, union( X, Y ) )
% 7.65/8.06 }.
% 7.65/8.06 (37503) {G0,W7,D4,L1,V1,M1} { successor( X ) = union( X, singleton( X ) )
% 7.65/8.06 }.
% 7.65/8.06 (37504) {G0,W5,D3,L1,V0,M1} { subclass( successor_relation, cross_product
% 7.65/8.06 ( universal_class, universal_class ) ) }.
% 7.65/8.06 (37505) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 7.65/8.06 successor_relation ), member( X, universal_class ) }.
% 7.65/8.06 (37506) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 7.65/8.06 successor_relation ), alpha2( X, Y ) }.
% 7.65/8.06 (37507) {G0,W11,D3,L3,V2,M3} { ! member( X, universal_class ), ! alpha2( X
% 7.65/8.06 , Y ), member( ordered_pair( X, Y ), successor_relation ) }.
% 7.65/8.06 (37508) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), member( Y, universal_class
% 7.65/8.06 ) }.
% 7.65/8.06 (37509) {G0,W7,D3,L2,V2,M2} { ! alpha2( X, Y ), successor( X ) = Y }.
% 7.65/8.06 (37510) {G0,W10,D3,L3,V2,M3} { ! member( Y, universal_class ), ! successor
% 7.65/8.06 ( X ) = Y, alpha2( X, Y ) }.
% 7.65/8.06 (37511) {G0,W8,D5,L1,V1,M1} { inverse( X ) = domain_of( flip(
% 7.65/8.06 cross_product( X, universal_class ) ) ) }.
% 7.65/8.06 (37512) {G0,W6,D4,L1,V1,M1} { range_of( X ) = domain_of( inverse( X ) )
% 7.65/8.06 }.
% 7.65/8.06 (37513) {G0,W9,D4,L1,V2,M1} { image( Y, X ) = range_of( restrict( Y, X,
% 7.65/8.06 universal_class ) ) }.
% 7.65/8.06 (37514) {G0,W5,D2,L2,V1,M2} { ! inductive( X ), member( null_class, X )
% 7.65/8.06 }.
% 7.65/8.06 (37515) {G0,W7,D3,L2,V1,M2} { ! inductive( X ), subclass( image(
% 7.65/8.06 successor_relation, X ), X ) }.
% 7.65/8.06 (37516) {G0,W10,D3,L3,V1,M3} { ! member( null_class, X ), ! subclass(
% 7.65/8.06 image( successor_relation, X ), X ), inductive( X ) }.
% 7.65/8.06 (37517) {G0,W3,D2,L1,V0,M1} { member( skol2, universal_class ) }.
% 7.65/8.06 (37518) {G0,W2,D2,L1,V0,M1} { inductive( skol2 ) }.
% 7.65/8.06 (37519) {G0,W5,D2,L2,V1,M2} { ! inductive( X ), subclass( skol2, X ) }.
% 7.65/8.06 (37520) {G0,W9,D3,L2,V3,M2} { ! member( X, sum_class( Y ) ), member( skol3
% 7.65/8.06 ( Z, Y ), Y ) }.
% 7.65/8.06 (37521) {G0,W9,D3,L2,V2,M2} { ! member( X, sum_class( Y ) ), member( X,
% 7.65/8.06 skol3( X, Y ) ) }.
% 7.65/8.06 (37522) {G0,W10,D3,L3,V3,M3} { ! member( X, Z ), ! member( Z, Y ), member
% 7.65/8.06 ( X, sum_class( Y ) ) }.
% 7.65/8.06 (37523) {G0,W7,D3,L2,V1,M2} { ! member( X, universal_class ), member(
% 7.65/8.06 sum_class( X ), universal_class ) }.
% 7.65/8.06 (37524) {G0,W7,D3,L2,V2,M2} { ! member( X, power_class( Y ) ), member( X,
% 7.65/8.06 universal_class ) }.
% 7.65/8.06 (37525) {G0,W7,D3,L2,V2,M2} { ! member( X, power_class( Y ) ), subclass( X
% 7.65/8.06 , Y ) }.
% 7.65/8.06 (37526) {G0,W10,D3,L3,V2,M3} { ! member( X, universal_class ), ! subclass
% 7.65/8.06 ( X, Y ), member( X, power_class( Y ) ) }.
% 7.65/8.06 (37527) {G0,W7,D3,L2,V1,M2} { ! member( X, universal_class ), member(
% 7.65/8.06 power_class( X ), universal_class ) }.
% 7.65/8.06 (37528) {G0,W7,D3,L1,V2,M1} { subclass( compose( Y, X ), cross_product(
% 7.65/8.06 universal_class, universal_class ) ) }.
% 7.65/8.06 (37529) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( Z, T ), compose( Y
% 7.65/8.06 , X ) ), member( Z, universal_class ) }.
% 7.65/8.06 (37530) {G0,W15,D5,L2,V4,M2} { ! member( ordered_pair( Z, T ), compose( Y
% 7.65/8.06 , X ) ), member( T, image( Y, image( X, singleton( Z ) ) ) ) }.
% 7.65/8.06 (37531) {G0,W18,D5,L3,V4,M3} { ! member( Z, universal_class ), ! member( T
% 7.65/8.06 , image( Y, image( X, singleton( Z ) ) ) ), member( ordered_pair( Z, T )
% 7.65/8.06 , compose( Y, X ) ) }.
% 7.65/8.06 (37532) {G0,W7,D3,L2,V2,M2} { ! member( X, identity_relation ), member(
% 7.65/8.06 skol4( Y ), universal_class ) }.
% 7.65/8.06 (37533) {G0,W10,D4,L2,V1,M2} { ! member( X, identity_relation ), X =
% 7.65/8.06 ordered_pair( skol4( X ), skol4( X ) ) }.
% 7.65/8.06 (37534) {G0,W11,D3,L3,V2,M3} { ! member( Y, universal_class ), ! X =
% 7.65/8.06 ordered_pair( Y, Y ), member( X, identity_relation ) }.
% 7.65/8.06 (37535) {G0,W7,D3,L2,V1,M2} { ! function( X ), subclass( X, cross_product
% 7.65/8.06 ( universal_class, universal_class ) ) }.
% 7.65/8.06 (37536) {G0,W8,D4,L2,V1,M2} { ! function( X ), subclass( compose( X,
% 7.65/8.06 inverse( X ) ), identity_relation ) }.
% 7.65/8.06 (37537) {G0,W13,D4,L3,V1,M3} { ! subclass( X, cross_product(
% 7.65/8.06 universal_class, universal_class ) ), ! subclass( compose( X, inverse( X
% 7.65/8.06 ) ), identity_relation ), function( X ) }.
% 7.65/8.06 (37538) {G0,W10,D3,L3,V2,M3} { ! member( X, universal_class ), ! function
% 7.65/8.06 ( Y ), member( image( Y, X ), universal_class ) }.
% 7.65/8.06 (37539) {G0,W9,D2,L3,V3,M3} { ! disjoint( X, Y ), ! member( Z, X ), !
% 7.65/8.06 member( Z, Y ) }.
% 7.65/8.06 (37540) {G0,W8,D3,L2,V3,M2} { member( skol5( Z, Y ), Y ), disjoint( X, Y )
% 7.65/8.06 }.
% 7.65/8.06 (37541) {G0,W8,D3,L2,V2,M2} { member( skol5( X, Y ), X ), disjoint( X, Y )
% 7.65/8.06 }.
% 7.65/8.06 (37542) {G0,W7,D3,L2,V2,M2} { X = null_class, member( skol6( Y ),
% 7.65/8.06 universal_class ) }.
% 7.65/8.06 (37543) {G0,W7,D3,L2,V1,M2} { X = null_class, member( skol6( X ), X ) }.
% 7.65/8.06 (37544) {G0,W7,D3,L2,V1,M2} { X = null_class, disjoint( skol6( X ), X )
% 7.65/8.06 }.
% 7.65/8.06 (37545) {G0,W9,D5,L1,V2,M1} { apply( X, Y ) = sum_class( image( X,
% 7.65/8.06 singleton( Y ) ) ) }.
% 7.65/8.06 (37546) {G0,W2,D2,L1,V0,M1} { function( skol7 ) }.
% 7.65/8.06 (37547) {G0,W11,D3,L3,V1,M3} { ! member( X, universal_class ), X =
% 7.65/8.06 null_class, member( apply( skol7, X ), X ) }.
% 7.65/8.06 (37548) {G0,W8,D4,L2,V1,M2} { ! member( X, universal_class ), member(
% 7.65/8.06 member_of( singleton( X ) ), universal_class ) }.
% 7.65/8.06 (37549) {G0,W10,D5,L2,V1,M2} { ! member( X, universal_class ), singleton(
% 7.65/8.06 member_of( singleton( X ) ) ) = singleton( X ) }.
% 7.65/8.06 (37550) {G0,W8,D3,L2,V1,M2} { member( member_of( X ), universal_class ),
% 7.65/8.06 member_of( X ) = X }.
% 7.65/8.06 (37551) {G0,W9,D4,L2,V1,M2} { singleton( member_of( X ) ) = X, member_of(
% 7.65/8.06 X ) = X }.
% 7.65/8.06 (37552) {G0,W3,D2,L1,V0,M1} { member( skol9, universal_class ) }.
% 7.65/8.06 (37553) {G0,W4,D3,L1,V0,M1} { skol8 = singleton( skol9 ) }.
% 7.65/8.06 (37554) {G0,W4,D3,L1,V0,M1} { ! member_of( skol8 ) = skol9 }.
% 7.65/8.06
% 7.65/8.06
% 7.65/8.06 Total Proof:
% 7.65/8.06
% 7.65/8.06 subsumption: (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X
% 7.65/8.06 ), member( Z, Y ) }.
% 7.65/8.06 parent0: (37455) {G0,W9,D2,L3,V3,M3} { ! subclass( X, Y ), ! member( Z, X
% 7.65/8.06 ), member( Z, Y ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 Y := Y
% 7.65/8.06 Z := Z
% 7.65/8.06 end
% 7.65/8.06 permutation0:
% 7.65/8.06 0 ==> 0
% 7.65/8.06 1 ==> 1
% 7.65/8.06 2 ==> 2
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 subsumption: (3) {G0,W3,D2,L1,V1,M1} I { subclass( X, universal_class ) }.
% 7.65/8.06 parent0: (37458) {G0,W3,D2,L1,V1,M1} { subclass( X, universal_class ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 end
% 7.65/8.06 permutation0:
% 7.65/8.06 0 ==> 0
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 subsumption: (7) {G0,W9,D3,L2,V3,M2} I { ! member( X, unordered_pair( Y, Z
% 7.65/8.06 ) ), alpha1( X, Y, Z ) }.
% 7.65/8.06 parent0: (37463) {G0,W9,D3,L2,V3,M2} { ! member( X, unordered_pair( Y, Z )
% 7.65/8.06 ), alpha1( X, Y, Z ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 Y := Y
% 7.65/8.06 Z := Z
% 7.65/8.06 end
% 7.65/8.06 permutation0:
% 7.65/8.06 0 ==> 0
% 7.65/8.06 1 ==> 1
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 subsumption: (8) {G0,W12,D3,L3,V3,M3} I { ! member( X, universal_class ), !
% 7.65/8.06 alpha1( X, Y, Z ), member( X, unordered_pair( Y, Z ) ) }.
% 7.65/8.06 parent0: (37464) {G0,W12,D3,L3,V3,M3} { ! member( X, universal_class ), !
% 7.65/8.06 alpha1( X, Y, Z ), member( X, unordered_pair( Y, Z ) ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 Y := Y
% 7.65/8.06 Z := Z
% 7.65/8.06 end
% 7.65/8.06 permutation0:
% 7.65/8.06 0 ==> 0
% 7.65/8.06 1 ==> 1
% 7.65/8.06 2 ==> 2
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 subsumption: (9) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), X = Y, X = Z
% 7.65/8.06 }.
% 7.65/8.06 parent0: (37465) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), X = Y, X = Z
% 7.65/8.06 }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 Y := Y
% 7.65/8.06 Z := Z
% 7.65/8.06 end
% 7.65/8.06 permutation0:
% 7.65/8.06 0 ==> 0
% 7.65/8.06 1 ==> 1
% 7.65/8.06 2 ==> 2
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 subsumption: (11) {G0,W7,D2,L2,V3,M2} I { ! X = Z, alpha1( X, Y, Z ) }.
% 7.65/8.06 parent0: (37467) {G0,W7,D2,L2,V3,M2} { ! X = Z, alpha1( X, Y, Z ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 Y := Y
% 7.65/8.06 Z := Z
% 7.65/8.06 end
% 7.65/8.06 permutation0:
% 7.65/8.06 0 ==> 0
% 7.65/8.06 1 ==> 1
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 eqswap: (37589) {G0,W6,D3,L1,V1,M1} { unordered_pair( X, X ) = singleton(
% 7.65/8.06 X ) }.
% 7.65/8.06 parent0[0]: (37469) {G0,W6,D3,L1,V1,M1} { singleton( X ) = unordered_pair
% 7.65/8.06 ( X, X ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 subsumption: (13) {G0,W6,D3,L1,V1,M1} I { unordered_pair( X, X ) ==>
% 7.65/8.06 singleton( X ) }.
% 7.65/8.06 parent0: (37589) {G0,W6,D3,L1,V1,M1} { unordered_pair( X, X ) = singleton
% 7.65/8.06 ( X ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 end
% 7.65/8.06 permutation0:
% 7.65/8.06 0 ==> 0
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 eqswap: (37601) {G0,W11,D5,L1,V2,M1} { unordered_pair( singleton( X ),
% 7.65/8.06 unordered_pair( X, singleton( Y ) ) ) = ordered_pair( X, Y ) }.
% 7.65/8.06 parent0[0]: (37470) {G0,W11,D5,L1,V2,M1} { ordered_pair( X, Y ) =
% 7.65/8.06 unordered_pair( singleton( X ), unordered_pair( X, singleton( Y ) ) ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 Y := Y
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 subsumption: (14) {G0,W11,D5,L1,V2,M1} I { unordered_pair( singleton( X ),
% 7.65/8.06 unordered_pair( X, singleton( Y ) ) ) ==> ordered_pair( X, Y ) }.
% 7.65/8.06 parent0: (37601) {G0,W11,D5,L1,V2,M1} { unordered_pair( singleton( X ),
% 7.65/8.06 unordered_pair( X, singleton( Y ) ) ) = ordered_pair( X, Y ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 Y := Y
% 7.65/8.06 end
% 7.65/8.06 permutation0:
% 7.65/8.06 0 ==> 0
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 subsumption: (16) {G0,W10,D3,L2,V4,M2} I { ! member( ordered_pair( X, Y ),
% 7.65/8.06 cross_product( Z, T ) ), member( Y, T ) }.
% 7.65/8.06 parent0: (37472) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( X, Y ),
% 7.65/8.06 cross_product( Z, T ) ), member( Y, T ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 Y := Y
% 7.65/8.06 Z := Z
% 7.65/8.06 T := T
% 7.65/8.06 end
% 7.65/8.06 permutation0:
% 7.65/8.06 0 ==> 0
% 7.65/8.06 1 ==> 1
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 subsumption: (17) {G0,W13,D3,L3,V4,M3} I { ! member( X, Z ), ! member( Y, T
% 7.65/8.06 ), member( ordered_pair( X, Y ), cross_product( Z, T ) ) }.
% 7.65/8.06 parent0: (37473) {G0,W13,D3,L3,V4,M3} { ! member( X, Z ), ! member( Y, T )
% 7.65/8.06 , member( ordered_pair( X, Y ), cross_product( Z, T ) ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 Y := Y
% 7.65/8.06 Z := Z
% 7.65/8.06 T := T
% 7.65/8.06 end
% 7.65/8.06 permutation0:
% 7.65/8.06 0 ==> 0
% 7.65/8.06 1 ==> 1
% 7.65/8.06 2 ==> 2
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 subsumption: (93) {G0,W10,D5,L2,V1,M2} I { ! member( X, universal_class ),
% 7.65/8.06 singleton( member_of( singleton( X ) ) ) ==> singleton( X ) }.
% 7.65/8.06 parent0: (37549) {G0,W10,D5,L2,V1,M2} { ! member( X, universal_class ),
% 7.65/8.06 singleton( member_of( singleton( X ) ) ) = singleton( X ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 end
% 7.65/8.06 permutation0:
% 7.65/8.06 0 ==> 0
% 7.65/8.06 1 ==> 1
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 subsumption: (96) {G0,W3,D2,L1,V0,M1} I { member( skol9, universal_class )
% 7.65/8.06 }.
% 7.65/8.06 parent0: (37552) {G0,W3,D2,L1,V0,M1} { member( skol9, universal_class )
% 7.65/8.06 }.
% 7.65/8.06 substitution0:
% 7.65/8.06 end
% 7.65/8.06 permutation0:
% 7.65/8.06 0 ==> 0
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 eqswap: (37767) {G0,W4,D3,L1,V0,M1} { singleton( skol9 ) = skol8 }.
% 7.65/8.06 parent0[0]: (37553) {G0,W4,D3,L1,V0,M1} { skol8 = singleton( skol9 ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 subsumption: (97) {G0,W4,D3,L1,V0,M1} I { singleton( skol9 ) ==> skol8 }.
% 7.65/8.06 parent0: (37767) {G0,W4,D3,L1,V0,M1} { singleton( skol9 ) = skol8 }.
% 7.65/8.06 substitution0:
% 7.65/8.06 end
% 7.65/8.06 permutation0:
% 7.65/8.06 0 ==> 0
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 subsumption: (98) {G0,W4,D3,L1,V0,M1} I { ! member_of( skol8 ) ==> skol9
% 7.65/8.06 }.
% 7.65/8.06 parent0: (37554) {G0,W4,D3,L1,V0,M1} { ! member_of( skol8 ) = skol9 }.
% 7.65/8.06 substitution0:
% 7.65/8.06 end
% 7.65/8.06 permutation0:
% 7.65/8.06 0 ==> 0
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 factor: (37821) {G0,W7,D2,L2,V2,M2} { ! alpha1( X, Y, Y ), X = Y }.
% 7.65/8.06 parent0[1, 2]: (9) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), X = Y, X =
% 7.65/8.06 Z }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 Y := Y
% 7.65/8.06 Z := Y
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 subsumption: (100) {G1,W7,D2,L2,V2,M2} F(9) { ! alpha1( X, Y, Y ), X = Y
% 7.65/8.06 }.
% 7.65/8.06 parent0: (37821) {G0,W7,D2,L2,V2,M2} { ! alpha1( X, Y, Y ), X = Y }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 Y := Y
% 7.65/8.06 end
% 7.65/8.06 permutation0:
% 7.65/8.06 0 ==> 0
% 7.65/8.06 1 ==> 1
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 eqswap: (37823) {G0,W7,D2,L2,V3,M2} { ! Y = X, alpha1( X, Z, Y ) }.
% 7.65/8.06 parent0[0]: (11) {G0,W7,D2,L2,V3,M2} I { ! X = Z, alpha1( X, Y, Z ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 Y := Z
% 7.65/8.06 Z := Y
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 eqrefl: (37824) {G0,W4,D2,L1,V2,M1} { alpha1( X, Y, X ) }.
% 7.65/8.06 parent0[0]: (37823) {G0,W7,D2,L2,V3,M2} { ! Y = X, alpha1( X, Z, Y ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 Y := X
% 7.65/8.06 Z := Y
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 subsumption: (104) {G1,W4,D2,L1,V2,M1} Q(11) { alpha1( X, Y, X ) }.
% 7.65/8.06 parent0: (37824) {G0,W4,D2,L1,V2,M1} { alpha1( X, Y, X ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 Y := Y
% 7.65/8.06 end
% 7.65/8.06 permutation0:
% 7.65/8.06 0 ==> 0
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 factor: (37825) {G0,W10,D3,L2,V2,M2} { ! member( X, Y ), member(
% 7.65/8.06 ordered_pair( X, X ), cross_product( Y, Y ) ) }.
% 7.65/8.06 parent0[0, 1]: (17) {G0,W13,D3,L3,V4,M3} I { ! member( X, Z ), ! member( Y
% 7.65/8.06 , T ), member( ordered_pair( X, Y ), cross_product( Z, T ) ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 Y := X
% 7.65/8.06 Z := Y
% 7.65/8.06 T := Y
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 subsumption: (105) {G1,W10,D3,L2,V2,M2} F(17) { ! member( X, Y ), member(
% 7.65/8.06 ordered_pair( X, X ), cross_product( Y, Y ) ) }.
% 7.65/8.06 parent0: (37825) {G0,W10,D3,L2,V2,M2} { ! member( X, Y ), member(
% 7.65/8.06 ordered_pair( X, X ), cross_product( Y, Y ) ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 Y := Y
% 7.65/8.06 end
% 7.65/8.06 permutation0:
% 7.65/8.06 0 ==> 0
% 7.65/8.06 1 ==> 1
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 resolution: (37826) {G1,W6,D2,L2,V1,M2} { ! subclass( universal_class, X )
% 7.65/8.06 , member( skol9, X ) }.
% 7.65/8.06 parent0[1]: (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X
% 7.65/8.06 ), member( Z, Y ) }.
% 7.65/8.06 parent1[0]: (96) {G0,W3,D2,L1,V0,M1} I { member( skol9, universal_class )
% 7.65/8.06 }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := universal_class
% 7.65/8.06 Y := X
% 7.65/8.06 Z := skol9
% 7.65/8.06 end
% 7.65/8.06 substitution1:
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 subsumption: (120) {G1,W6,D2,L2,V1,M2} R(96,0) { ! subclass(
% 7.65/8.06 universal_class, X ), member( skol9, X ) }.
% 7.65/8.06 parent0: (37826) {G1,W6,D2,L2,V1,M2} { ! subclass( universal_class, X ),
% 7.65/8.06 member( skol9, X ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 end
% 7.65/8.06 permutation0:
% 7.65/8.06 0 ==> 0
% 7.65/8.06 1 ==> 1
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 resolution: (37827) {G1,W9,D3,L2,V2,M2} { ! alpha1( skol9, X, Y ), member
% 7.65/8.06 ( skol9, unordered_pair( X, Y ) ) }.
% 7.65/8.06 parent0[0]: (8) {G0,W12,D3,L3,V3,M3} I { ! member( X, universal_class ), !
% 7.65/8.06 alpha1( X, Y, Z ), member( X, unordered_pair( Y, Z ) ) }.
% 7.65/8.06 parent1[0]: (96) {G0,W3,D2,L1,V0,M1} I { member( skol9, universal_class )
% 7.65/8.06 }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := skol9
% 7.65/8.06 Y := X
% 7.65/8.06 Z := Y
% 7.65/8.06 end
% 7.65/8.06 substitution1:
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 subsumption: (252) {G1,W9,D3,L2,V2,M2} R(8,96) { ! alpha1( skol9, X, Y ),
% 7.65/8.06 member( skol9, unordered_pair( X, Y ) ) }.
% 7.65/8.06 parent0: (37827) {G1,W9,D3,L2,V2,M2} { ! alpha1( skol9, X, Y ), member(
% 7.65/8.06 skol9, unordered_pair( X, Y ) ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 Y := Y
% 7.65/8.06 end
% 7.65/8.06 permutation0:
% 7.65/8.06 0 ==> 0
% 7.65/8.06 1 ==> 1
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 eqswap: (37829) {G0,W11,D5,L1,V2,M1} { ordered_pair( X, Y ) ==>
% 7.65/8.06 unordered_pair( singleton( X ), unordered_pair( X, singleton( Y ) ) ) }.
% 7.65/8.06 parent0[0]: (14) {G0,W11,D5,L1,V2,M1} I { unordered_pair( singleton( X ),
% 7.65/8.06 unordered_pair( X, singleton( Y ) ) ) ==> ordered_pair( X, Y ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 Y := Y
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 paramod: (37831) {G1,W10,D4,L1,V1,M1} { ordered_pair( X, skol9 ) ==>
% 7.65/8.06 unordered_pair( singleton( X ), unordered_pair( X, skol8 ) ) }.
% 7.65/8.06 parent0[0]: (97) {G0,W4,D3,L1,V0,M1} I { singleton( skol9 ) ==> skol8 }.
% 7.65/8.06 parent1[0; 9]: (37829) {G0,W11,D5,L1,V2,M1} { ordered_pair( X, Y ) ==>
% 7.65/8.06 unordered_pair( singleton( X ), unordered_pair( X, singleton( Y ) ) ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 end
% 7.65/8.06 substitution1:
% 7.65/8.06 X := X
% 7.65/8.06 Y := skol9
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 eqswap: (37833) {G1,W10,D4,L1,V1,M1} { unordered_pair( singleton( X ),
% 7.65/8.06 unordered_pair( X, skol8 ) ) ==> ordered_pair( X, skol9 ) }.
% 7.65/8.06 parent0[0]: (37831) {G1,W10,D4,L1,V1,M1} { ordered_pair( X, skol9 ) ==>
% 7.65/8.06 unordered_pair( singleton( X ), unordered_pair( X, skol8 ) ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 subsumption: (660) {G1,W10,D4,L1,V1,M1} P(97,14) { unordered_pair(
% 7.65/8.06 singleton( X ), unordered_pair( X, skol8 ) ) ==> ordered_pair( X, skol9 )
% 7.65/8.06 }.
% 7.65/8.06 parent0: (37833) {G1,W10,D4,L1,V1,M1} { unordered_pair( singleton( X ),
% 7.65/8.06 unordered_pair( X, skol8 ) ) ==> ordered_pair( X, skol9 ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 end
% 7.65/8.06 permutation0:
% 7.65/8.06 0 ==> 0
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 eqswap: (37834) {G0,W10,D5,L2,V1,M2} { singleton( X ) ==> singleton(
% 7.65/8.06 member_of( singleton( X ) ) ), ! member( X, universal_class ) }.
% 7.65/8.06 parent0[1]: (93) {G0,W10,D5,L2,V1,M2} I { ! member( X, universal_class ),
% 7.65/8.06 singleton( member_of( singleton( X ) ) ) ==> singleton( X ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := X
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 resolution: (37836) {G1,W10,D5,L2,V0,M2} { singleton( skol9 ) ==>
% 7.65/8.06 singleton( member_of( singleton( skol9 ) ) ), ! subclass( universal_class
% 7.65/8.06 , universal_class ) }.
% 7.65/8.06 parent0[1]: (37834) {G0,W10,D5,L2,V1,M2} { singleton( X ) ==> singleton(
% 7.65/8.06 member_of( singleton( X ) ) ), ! member( X, universal_class ) }.
% 7.65/8.06 parent1[1]: (120) {G1,W6,D2,L2,V1,M2} R(96,0) { ! subclass( universal_class
% 7.65/8.06 , X ), member( skol9, X ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 X := skol9
% 7.65/8.06 end
% 7.65/8.06 substitution1:
% 7.65/8.06 X := universal_class
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 paramod: (37838) {G1,W9,D4,L2,V0,M2} { singleton( skol9 ) ==> singleton(
% 7.65/8.06 member_of( skol8 ) ), ! subclass( universal_class, universal_class ) }.
% 7.65/8.06 parent0[0]: (97) {G0,W4,D3,L1,V0,M1} I { singleton( skol9 ) ==> skol8 }.
% 7.65/8.06 parent1[0; 5]: (37836) {G1,W10,D5,L2,V0,M2} { singleton( skol9 ) ==>
% 7.65/8.06 singleton( member_of( singleton( skol9 ) ) ), ! subclass( universal_class
% 7.65/8.06 , universal_class ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 end
% 7.65/8.06 substitution1:
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 paramod: (37839) {G1,W8,D4,L2,V0,M2} { skol8 ==> singleton( member_of(
% 7.65/8.06 skol8 ) ), ! subclass( universal_class, universal_class ) }.
% 7.65/8.06 parent0[0]: (97) {G0,W4,D3,L1,V0,M1} I { singleton( skol9 ) ==> skol8 }.
% 7.65/8.06 parent1[0; 1]: (37838) {G1,W9,D4,L2,V0,M2} { singleton( skol9 ) ==>
% 7.65/8.06 singleton( member_of( skol8 ) ), ! subclass( universal_class,
% 7.65/8.06 universal_class ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 end
% 7.65/8.06 substitution1:
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 resolution: (37842) {G1,W5,D4,L1,V0,M1} { skol8 ==> singleton( member_of(
% 7.65/8.06 skol8 ) ) }.
% 7.65/8.06 parent0[1]: (37839) {G1,W8,D4,L2,V0,M2} { skol8 ==> singleton( member_of(
% 7.65/8.06 skol8 ) ), ! subclass( universal_class, universal_class ) }.
% 7.65/8.06 parent1[0]: (3) {G0,W3,D2,L1,V1,M1} I { subclass( X, universal_class ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 end
% 7.65/8.06 substitution1:
% 7.65/8.06 X := universal_class
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 eqswap: (37843) {G1,W5,D4,L1,V0,M1} { singleton( member_of( skol8 ) ) ==>
% 7.65/8.06 skol8 }.
% 7.65/8.06 parent0[0]: (37842) {G1,W5,D4,L1,V0,M1} { skol8 ==> singleton( member_of(
% 7.65/8.06 skol8 ) ) }.
% 7.65/8.06 substitution0:
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 subsumption: (10555) {G2,W5,D4,L1,V0,M1} R(93,120);d(97);r(3) { singleton(
% 7.65/8.06 member_of( skol8 ) ) ==> skol8 }.
% 7.65/8.06 parent0: (37843) {G1,W5,D4,L1,V0,M1} { singleton( member_of( skol8 ) ) ==>
% 7.65/8.06 skol8 }.
% 7.65/8.06 substitution0:
% 7.65/8.06 end
% 7.65/8.06 permutation0:
% 7.65/8.06 0 ==> 0
% 7.65/8.06 end
% 7.65/8.06
% 7.65/8.06 eqswap: (37845) {G0,W11,D5,LCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------