TSTP Solution File: SET071+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET071+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 22:46:32 EDT 2022
% Result : Theorem 32.41s 32.80s
% Output : Refutation 32.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET071+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jul 10 08:56:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.67/1.07 *** allocated 10000 integers for termspace/termends
% 0.67/1.07 *** allocated 10000 integers for clauses
% 0.67/1.07 *** allocated 10000 integers for justifications
% 0.67/1.07 Bliksem 1.12
% 0.67/1.07
% 0.67/1.07
% 0.67/1.07 Automatic Strategy Selection
% 0.67/1.07
% 0.67/1.07
% 0.67/1.07 Clauses:
% 0.67/1.07
% 0.67/1.07 { ! subclass( X, Y ), ! member( Z, X ), member( Z, Y ) }.
% 0.67/1.07 { ! member( skol1( Z, Y ), Y ), subclass( X, Y ) }.
% 0.67/1.07 { member( skol1( X, Y ), X ), subclass( X, Y ) }.
% 0.67/1.07 { subclass( X, universal_class ) }.
% 0.67/1.07 { ! X = Y, subclass( X, Y ) }.
% 0.67/1.07 { ! X = Y, subclass( Y, X ) }.
% 0.67/1.07 { ! subclass( X, Y ), ! subclass( Y, X ), X = Y }.
% 0.67/1.07 { ! member( X, unordered_pair( Y, Z ) ), member( X, universal_class ) }.
% 0.67/1.07 { ! member( X, unordered_pair( Y, Z ) ), alpha1( X, Y, Z ) }.
% 0.67/1.07 { ! member( X, universal_class ), ! alpha1( X, Y, Z ), member( X,
% 0.67/1.07 unordered_pair( Y, Z ) ) }.
% 0.67/1.07 { ! alpha1( X, Y, Z ), X = Y, X = Z }.
% 0.67/1.07 { ! X = Y, alpha1( X, Y, Z ) }.
% 0.67/1.07 { ! X = Z, alpha1( X, Y, Z ) }.
% 0.67/1.07 { member( unordered_pair( X, Y ), universal_class ) }.
% 0.67/1.07 { singleton( X ) = unordered_pair( X, X ) }.
% 0.67/1.07 { ordered_pair( X, Y ) = unordered_pair( singleton( X ), unordered_pair( X
% 0.67/1.07 , singleton( Y ) ) ) }.
% 0.67/1.07 { ! member( ordered_pair( X, Y ), cross_product( Z, T ) ), member( X, Z ) }
% 0.67/1.07 .
% 0.67/1.07 { ! member( ordered_pair( X, Y ), cross_product( Z, T ) ), member( Y, T ) }
% 0.67/1.07 .
% 0.67/1.07 { ! member( X, Z ), ! member( Y, T ), member( ordered_pair( X, Y ),
% 0.67/1.07 cross_product( Z, T ) ) }.
% 0.67/1.07 { ! member( X, universal_class ), ! member( Y, universal_class ), first(
% 0.67/1.07 ordered_pair( X, Y ) ) = X }.
% 0.67/1.07 { ! member( X, universal_class ), ! member( Y, universal_class ), second(
% 0.67/1.07 ordered_pair( X, Y ) ) = Y }.
% 0.67/1.07 { ! member( X, cross_product( Y, Z ) ), X = ordered_pair( first( X ),
% 0.67/1.07 second( X ) ) }.
% 0.67/1.07 { ! member( ordered_pair( X, Y ), element_relation ), member( Y,
% 0.67/1.07 universal_class ) }.
% 0.67/1.07 { ! member( ordered_pair( X, Y ), element_relation ), member( X, Y ) }.
% 0.67/1.07 { ! member( Y, universal_class ), ! member( X, Y ), member( ordered_pair( X
% 0.67/1.07 , Y ), element_relation ) }.
% 0.67/1.07 { subclass( element_relation, cross_product( universal_class,
% 0.67/1.07 universal_class ) ) }.
% 0.67/1.07 { ! member( Z, intersection( X, Y ) ), member( Z, X ) }.
% 0.67/1.07 { ! member( Z, intersection( X, Y ) ), member( Z, Y ) }.
% 0.67/1.07 { ! member( Z, X ), ! member( Z, Y ), member( Z, intersection( X, Y ) ) }.
% 0.67/1.07 { ! member( Y, complement( X ) ), member( Y, universal_class ) }.
% 0.67/1.07 { ! member( Y, complement( X ) ), ! member( Y, X ) }.
% 0.67/1.07 { ! member( Y, universal_class ), member( Y, X ), member( Y, complement( X
% 0.67/1.07 ) ) }.
% 0.67/1.07 { restrict( Y, X, Z ) = intersection( Y, cross_product( X, Z ) ) }.
% 0.67/1.07 { ! member( X, null_class ) }.
% 0.67/1.07 { ! member( Y, domain_of( X ) ), member( Y, universal_class ) }.
% 0.67/1.07 { ! member( Y, domain_of( X ) ), ! restrict( X, singleton( Y ),
% 0.67/1.07 universal_class ) = null_class }.
% 0.67/1.07 { ! member( Y, universal_class ), restrict( X, singleton( Y ),
% 0.67/1.07 universal_class ) = null_class, member( Y, domain_of( X ) ) }.
% 0.67/1.07 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ), member
% 0.67/1.07 ( ordered_pair( ordered_pair( Y, Z ), T ), cross_product( cross_product(
% 0.67/1.07 universal_class, universal_class ), universal_class ) ) }.
% 0.67/1.07 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ), member
% 0.67/1.07 ( ordered_pair( ordered_pair( Z, T ), Y ), X ) }.
% 0.67/1.07 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), cross_product(
% 0.67/1.07 cross_product( universal_class, universal_class ), universal_class ) ), !
% 0.67/1.07 member( ordered_pair( ordered_pair( Z, T ), Y ), X ), member(
% 0.67/1.07 ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ) }.
% 0.67/1.07 { subclass( rotate( X ), cross_product( cross_product( universal_class,
% 0.67/1.07 universal_class ), universal_class ) ) }.
% 0.67/1.07 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ), member(
% 0.67/1.07 ordered_pair( ordered_pair( X, Y ), Z ), cross_product( cross_product(
% 0.67/1.07 universal_class, universal_class ), universal_class ) ) }.
% 0.67/1.07 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ), member(
% 0.67/1.07 ordered_pair( ordered_pair( Y, X ), Z ), T ) }.
% 0.67/1.07 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), cross_product(
% 0.67/1.07 cross_product( universal_class, universal_class ), universal_class ) ), !
% 0.67/1.07 member( ordered_pair( ordered_pair( Y, X ), Z ), T ), member(
% 0.67/1.07 ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ) }.
% 0.67/1.07 { subclass( flip( X ), cross_product( cross_product( universal_class,
% 0.88/1.23 universal_class ), universal_class ) ) }.
% 0.88/1.23 { ! member( Z, union( X, Y ) ), member( Z, X ), member( Z, Y ) }.
% 0.88/1.23 { ! member( Z, X ), member( Z, union( X, Y ) ) }.
% 0.88/1.23 { ! member( Z, Y ), member( Z, union( X, Y ) ) }.
% 0.88/1.23 { successor( X ) = union( X, singleton( X ) ) }.
% 0.88/1.23 { subclass( successor_relation, cross_product( universal_class,
% 0.88/1.23 universal_class ) ) }.
% 0.88/1.23 { ! member( ordered_pair( X, Y ), successor_relation ), member( X,
% 0.88/1.23 universal_class ) }.
% 0.88/1.23 { ! member( ordered_pair( X, Y ), successor_relation ), alpha2( X, Y ) }.
% 0.88/1.23 { ! member( X, universal_class ), ! alpha2( X, Y ), member( ordered_pair( X
% 0.88/1.23 , Y ), successor_relation ) }.
% 0.88/1.23 { ! alpha2( X, Y ), member( Y, universal_class ) }.
% 0.88/1.23 { ! alpha2( X, Y ), successor( X ) = Y }.
% 0.88/1.23 { ! member( Y, universal_class ), ! successor( X ) = Y, alpha2( X, Y ) }.
% 0.88/1.23 { inverse( X ) = domain_of( flip( cross_product( X, universal_class ) ) ) }
% 0.88/1.23 .
% 0.88/1.23 { range_of( X ) = domain_of( inverse( X ) ) }.
% 0.88/1.23 { image( Y, X ) = range_of( restrict( Y, X, universal_class ) ) }.
% 0.88/1.23 { ! inductive( X ), member( null_class, X ) }.
% 0.88/1.23 { ! inductive( X ), subclass( image( successor_relation, X ), X ) }.
% 0.88/1.23 { ! member( null_class, X ), ! subclass( image( successor_relation, X ), X
% 0.88/1.23 ), inductive( X ) }.
% 0.88/1.23 { member( skol2, universal_class ) }.
% 0.88/1.23 { inductive( skol2 ) }.
% 0.88/1.23 { ! inductive( X ), subclass( skol2, X ) }.
% 0.88/1.23 { ! member( X, sum_class( Y ) ), member( skol3( Z, Y ), Y ) }.
% 0.88/1.23 { ! member( X, sum_class( Y ) ), member( X, skol3( X, Y ) ) }.
% 0.88/1.23 { ! member( X, Z ), ! member( Z, Y ), member( X, sum_class( Y ) ) }.
% 0.88/1.23 { ! member( X, universal_class ), member( sum_class( X ), universal_class )
% 0.88/1.23 }.
% 0.88/1.23 { ! member( X, power_class( Y ) ), member( X, universal_class ) }.
% 0.88/1.23 { ! member( X, power_class( Y ) ), subclass( X, Y ) }.
% 0.88/1.23 { ! member( X, universal_class ), ! subclass( X, Y ), member( X,
% 0.88/1.23 power_class( Y ) ) }.
% 0.88/1.23 { ! member( X, universal_class ), member( power_class( X ), universal_class
% 0.88/1.23 ) }.
% 0.88/1.23 { subclass( compose( Y, X ), cross_product( universal_class,
% 0.88/1.23 universal_class ) ) }.
% 0.88/1.23 { ! member( ordered_pair( Z, T ), compose( Y, X ) ), member( Z,
% 0.88/1.23 universal_class ) }.
% 0.88/1.23 { ! member( ordered_pair( Z, T ), compose( Y, X ) ), member( T, image( Y,
% 0.88/1.23 image( X, singleton( Z ) ) ) ) }.
% 0.88/1.23 { ! member( Z, universal_class ), ! member( T, image( Y, image( X,
% 0.88/1.23 singleton( Z ) ) ) ), member( ordered_pair( Z, T ), compose( Y, X ) ) }.
% 0.88/1.23 { ! member( X, identity_relation ), member( skol4( Y ), universal_class ) }
% 0.88/1.23 .
% 0.88/1.23 { ! member( X, identity_relation ), X = ordered_pair( skol4( X ), skol4( X
% 0.88/1.23 ) ) }.
% 0.88/1.23 { ! member( Y, universal_class ), ! X = ordered_pair( Y, Y ), member( X,
% 0.88/1.23 identity_relation ) }.
% 0.88/1.23 { ! function( X ), subclass( X, cross_product( universal_class,
% 0.88/1.23 universal_class ) ) }.
% 0.88/1.23 { ! function( X ), subclass( compose( X, inverse( X ) ), identity_relation
% 0.88/1.23 ) }.
% 0.88/1.23 { ! subclass( X, cross_product( universal_class, universal_class ) ), !
% 0.88/1.23 subclass( compose( X, inverse( X ) ), identity_relation ), function( X )
% 0.88/1.23 }.
% 0.88/1.23 { ! member( X, universal_class ), ! function( Y ), member( image( Y, X ),
% 0.88/1.23 universal_class ) }.
% 0.88/1.23 { ! disjoint( X, Y ), ! member( Z, X ), ! member( Z, Y ) }.
% 0.88/1.23 { member( skol5( Z, Y ), Y ), disjoint( X, Y ) }.
% 0.88/1.23 { member( skol5( X, Y ), X ), disjoint( X, Y ) }.
% 0.88/1.23 { X = null_class, member( skol6( Y ), universal_class ) }.
% 0.88/1.23 { X = null_class, member( skol6( X ), X ) }.
% 0.88/1.23 { X = null_class, disjoint( skol6( X ), X ) }.
% 0.88/1.23 { apply( X, Y ) = sum_class( image( X, singleton( Y ) ) ) }.
% 0.88/1.23 { function( skol7 ) }.
% 0.88/1.23 { ! member( X, universal_class ), X = null_class, member( apply( skol7, X )
% 0.88/1.23 , X ) }.
% 0.88/1.23 { ! member( skol8, universal_class ) }.
% 0.88/1.23 { ! member( skol9, universal_class ) }.
% 0.88/1.23 { ! unordered_pair( skol8, skol9 ) = null_class }.
% 0.88/1.23
% 0.88/1.23 percentage equality = 0.148718, percentage horn = 0.885417
% 0.88/1.23 This is a problem with some equality
% 0.88/1.23
% 0.88/1.23
% 0.88/1.23
% 0.88/1.23 Options Used:
% 0.88/1.23
% 0.88/1.23 useres = 1
% 0.88/1.23 useparamod = 1
% 0.88/1.23 useeqrefl = 1
% 0.88/1.23 useeqfact = 1
% 0.88/1.23 usefactor = 1
% 0.88/1.23 usesimpsplitting = 0
% 0.88/1.23 usesimpdemod = 5
% 0.88/1.23 usesimpres = 3
% 0.88/1.23
% 0.88/1.23 resimpinuse = 1000
% 0.88/1.23 resimpclauses = 20000
% 0.88/1.23 substype = eqrewr
% 0.88/1.23 backwardsubs = 1
% 0.88/1.23 selectoldest = 5
% 0.88/1.23
% 0.88/1.23 litorderings [0] = split
% 13.36/13.72 litorderings [1] = extend the termordering, first sorting on arguments
% 13.36/13.72
% 13.36/13.72 termordering = kbo
% 13.36/13.72
% 13.36/13.72 litapriori = 0
% 13.36/13.72 termapriori = 1
% 13.36/13.72 litaposteriori = 0
% 13.36/13.72 termaposteriori = 0
% 13.36/13.72 demodaposteriori = 0
% 13.36/13.72 ordereqreflfact = 0
% 13.36/13.72
% 13.36/13.72 litselect = negord
% 13.36/13.72
% 13.36/13.72 maxweight = 15
% 13.36/13.72 maxdepth = 30000
% 13.36/13.72 maxlength = 115
% 13.36/13.72 maxnrvars = 195
% 13.36/13.72 excuselevel = 1
% 13.36/13.72 increasemaxweight = 1
% 13.36/13.72
% 13.36/13.72 maxselected = 10000000
% 13.36/13.72 maxnrclauses = 10000000
% 13.36/13.72
% 13.36/13.72 showgenerated = 0
% 13.36/13.72 showkept = 0
% 13.36/13.72 showselected = 0
% 13.36/13.72 showdeleted = 0
% 13.36/13.72 showresimp = 1
% 13.36/13.72 showstatus = 2000
% 13.36/13.72
% 13.36/13.72 prologoutput = 0
% 13.36/13.72 nrgoals = 5000000
% 13.36/13.72 totalproof = 1
% 13.36/13.72
% 13.36/13.72 Symbols occurring in the translation:
% 13.36/13.72
% 13.36/13.72 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 13.36/13.72 . [1, 2] (w:1, o:45, a:1, s:1, b:0),
% 13.36/13.72 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 13.36/13.72 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 13.36/13.72 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 13.36/13.72 subclass [37, 2] (w:1, o:69, a:1, s:1, b:0),
% 13.36/13.72 member [39, 2] (w:1, o:70, a:1, s:1, b:0),
% 13.36/13.72 universal_class [40, 0] (w:1, o:12, a:1, s:1, b:0),
% 13.36/13.72 unordered_pair [41, 2] (w:1, o:71, a:1, s:1, b:0),
% 13.36/13.72 singleton [42, 1] (w:1, o:31, a:1, s:1, b:0),
% 13.36/13.72 ordered_pair [43, 2] (w:1, o:72, a:1, s:1, b:0),
% 13.36/13.72 cross_product [45, 2] (w:1, o:73, a:1, s:1, b:0),
% 13.36/13.72 first [46, 1] (w:1, o:32, a:1, s:1, b:0),
% 13.36/13.72 second [47, 1] (w:1, o:33, a:1, s:1, b:0),
% 13.36/13.72 element_relation [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 13.36/13.72 intersection [50, 2] (w:1, o:75, a:1, s:1, b:0),
% 13.36/13.72 complement [51, 1] (w:1, o:34, a:1, s:1, b:0),
% 13.36/13.72 restrict [53, 3] (w:1, o:84, a:1, s:1, b:0),
% 13.36/13.72 null_class [54, 0] (w:1, o:17, a:1, s:1, b:0),
% 13.36/13.72 domain_of [55, 1] (w:1, o:35, a:1, s:1, b:0),
% 13.36/13.72 rotate [57, 1] (w:1, o:29, a:1, s:1, b:0),
% 13.36/13.72 flip [58, 1] (w:1, o:36, a:1, s:1, b:0),
% 13.36/13.72 union [59, 2] (w:1, o:76, a:1, s:1, b:0),
% 13.36/13.72 successor [60, 1] (w:1, o:37, a:1, s:1, b:0),
% 13.36/13.72 successor_relation [61, 0] (w:1, o:18, a:1, s:1, b:0),
% 13.36/13.72 inverse [62, 1] (w:1, o:38, a:1, s:1, b:0),
% 13.36/13.72 range_of [63, 1] (w:1, o:30, a:1, s:1, b:0),
% 13.36/13.72 image [64, 2] (w:1, o:74, a:1, s:1, b:0),
% 13.36/13.72 inductive [65, 1] (w:1, o:39, a:1, s:1, b:0),
% 13.36/13.72 sum_class [66, 1] (w:1, o:40, a:1, s:1, b:0),
% 13.36/13.72 power_class [67, 1] (w:1, o:41, a:1, s:1, b:0),
% 13.36/13.72 compose [69, 2] (w:1, o:77, a:1, s:1, b:0),
% 13.36/13.72 identity_relation [70, 0] (w:1, o:19, a:1, s:1, b:0),
% 13.36/13.72 function [72, 1] (w:1, o:42, a:1, s:1, b:0),
% 13.36/13.72 disjoint [73, 2] (w:1, o:78, a:1, s:1, b:0),
% 13.36/13.72 apply [74, 2] (w:1, o:79, a:1, s:1, b:0),
% 13.36/13.72 alpha1 [75, 3] (w:1, o:85, a:1, s:1, b:1),
% 13.36/13.72 alpha2 [76, 2] (w:1, o:80, a:1, s:1, b:1),
% 13.36/13.72 skol1 [77, 2] (w:1, o:81, a:1, s:1, b:1),
% 13.36/13.72 skol2 [78, 0] (w:1, o:20, a:1, s:1, b:1),
% 13.36/13.72 skol3 [79, 2] (w:1, o:82, a:1, s:1, b:1),
% 13.36/13.72 skol4 [80, 1] (w:1, o:43, a:1, s:1, b:1),
% 13.36/13.72 skol5 [81, 2] (w:1, o:83, a:1, s:1, b:1),
% 13.36/13.72 skol6 [82, 1] (w:1, o:44, a:1, s:1, b:1),
% 13.36/13.72 skol7 [83, 0] (w:1, o:21, a:1, s:1, b:1),
% 13.36/13.72 skol8 [84, 0] (w:1, o:22, a:1, s:1, b:1),
% 13.36/13.72 skol9 [85, 0] (w:1, o:23, a:1, s:1, b:1).
% 13.36/13.72
% 13.36/13.72
% 13.36/13.72 Starting Search:
% 13.36/13.72
% 13.36/13.72 *** allocated 15000 integers for clauses
% 13.36/13.72 *** allocated 22500 integers for clauses
% 13.36/13.72 *** allocated 33750 integers for clauses
% 13.36/13.72 *** allocated 50625 integers for clauses
% 13.36/13.72 *** allocated 15000 integers for termspace/termends
% 13.36/13.72 Resimplifying inuse:
% 13.36/13.72 Done
% 13.36/13.72
% 13.36/13.72 *** allocated 75937 integers for clauses
% 13.36/13.72 *** allocated 22500 integers for termspace/termends
% 13.36/13.72 *** allocated 113905 integers for clauses
% 13.36/13.72 *** allocated 33750 integers for termspace/termends
% 13.36/13.72
% 13.36/13.72 Intermediate Status:
% 13.36/13.72 Generated: 3702
% 13.36/13.72 Kept: 2023
% 13.36/13.72 Inuse: 134
% 13.36/13.72 Deleted: 5
% 13.36/13.72 Deletedinuse: 3
% 13.36/13.72
% 13.36/13.72 Resimplifying inuse:
% 13.36/13.72 Done
% 13.36/13.72
% 13.36/13.72 *** allocated 170857 integers for clauses
% 13.36/13.72 *** allocated 50625 integers for termspace/termends
% 13.36/13.72 Resimplifying inuse:
% 13.36/13.72 Done
% 13.36/13.72
% 13.36/13.72 *** allocated 75937 integers for termspace/termends
% 13.36/13.72 *** allocated 256285 integers for clauses
% 13.36/13.72
% 13.36/13.72 Intermediate Status:
% 13.36/13.72 Generated: 7599
% 13.36/13.72 Kept: 4023
% 13.36/13.72 Inuse: 218
% 13.36/13.72 Deleted: 15
% 13.36/13.72 Deletedinuse: 9
% 13.36/13.72
% 13.36/13.72 Resimplifying inuse:
% 13.36/13.72 Done
% 13.36/13.72
% 13.36/13.72 Resimplifying inuse:
% 13.36/13.72 Done
% 13.36/13.72
% 13.36/13.72 *** allocated 113905 integers for termspace/termends
% 32.41/32.80 *** allocated 384427 integers for clauses
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 10825
% 32.41/32.80 Kept: 6033
% 32.41/32.80 Inuse: 280
% 32.41/32.80 Deleted: 19
% 32.41/32.80 Deletedinuse: 12
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 13988
% 32.41/32.80 Kept: 8036
% 32.41/32.80 Inuse: 351
% 32.41/32.80 Deleted: 25
% 32.41/32.80 Deletedinuse: 15
% 32.41/32.80
% 32.41/32.80 *** allocated 576640 integers for clauses
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 *** allocated 170857 integers for termspace/termends
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 20914
% 32.41/32.80 Kept: 10827
% 32.41/32.80 Inuse: 393
% 32.41/32.80 Deleted: 122
% 32.41/32.80 Deletedinuse: 104
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 *** allocated 864960 integers for clauses
% 32.41/32.80 *** allocated 256285 integers for termspace/termends
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 26118
% 32.41/32.80 Kept: 12937
% 32.41/32.80 Inuse: 403
% 32.41/32.80 Deleted: 124
% 32.41/32.80 Deletedinuse: 106
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 30456
% 32.41/32.80 Kept: 14945
% 32.41/32.80 Inuse: 464
% 32.41/32.80 Deleted: 131
% 32.41/32.80 Deletedinuse: 109
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 34403
% 32.41/32.80 Kept: 16956
% 32.41/32.80 Inuse: 517
% 32.41/32.80 Deleted: 152
% 32.41/32.80 Deletedinuse: 129
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 *** allocated 1297440 integers for clauses
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 42181
% 32.41/32.80 Kept: 19437
% 32.41/32.80 Inuse: 548
% 32.41/32.80 Deleted: 152
% 32.41/32.80 Deletedinuse: 129
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 *** allocated 384427 integers for termspace/termends
% 32.41/32.80 Resimplifying clauses:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 50044
% 32.41/32.80 Kept: 21448
% 32.41/32.80 Inuse: 603
% 32.41/32.80 Deleted: 2619
% 32.41/32.80 Deletedinuse: 129
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 55240
% 32.41/32.80 Kept: 23519
% 32.41/32.80 Inuse: 651
% 32.41/32.80 Deleted: 2620
% 32.41/32.80 Deletedinuse: 129
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 59570
% 32.41/32.80 Kept: 25528
% 32.41/32.80 Inuse: 690
% 32.41/32.80 Deleted: 2620
% 32.41/32.80 Deletedinuse: 129
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 64602
% 32.41/32.80 Kept: 27550
% 32.41/32.80 Inuse: 735
% 32.41/32.80 Deleted: 2620
% 32.41/32.80 Deletedinuse: 129
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 *** allocated 1946160 integers for clauses
% 32.41/32.80 *** allocated 576640 integers for termspace/termends
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 70627
% 32.41/32.80 Kept: 29588
% 32.41/32.80 Inuse: 788
% 32.41/32.80 Deleted: 2625
% 32.41/32.80 Deletedinuse: 130
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 78450
% 32.41/32.80 Kept: 31588
% 32.41/32.80 Inuse: 837
% 32.41/32.80 Deleted: 2625
% 32.41/32.80 Deletedinuse: 130
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 87899
% 32.41/32.80 Kept: 33850
% 32.41/32.80 Inuse: 888
% 32.41/32.80 Deleted: 2625
% 32.41/32.80 Deletedinuse: 130
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 98025
% 32.41/32.80 Kept: 35886
% 32.41/32.80 Inuse: 934
% 32.41/32.80 Deleted: 2625
% 32.41/32.80 Deletedinuse: 130
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 103387
% 32.41/32.80 Kept: 37920
% 32.41/32.80 Inuse: 976
% 32.41/32.80 Deleted: 2629
% 32.41/32.80 Deletedinuse: 132
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 109393
% 32.41/32.80 Kept: 39923
% 32.41/32.80 Inuse: 1023
% 32.41/32.80 Deleted: 2629
% 32.41/32.80 Deletedinuse: 132
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 Resimplifying clauses:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 115549
% 32.41/32.80 Kept: 43400
% 32.41/32.80 Inuse: 1031
% 32.41/32.80 Deleted: 3206
% 32.41/32.80 Deletedinuse: 132
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 *** allocated 864960 integers for termspace/termends
% 32.41/32.80 *** allocated 2919240 integers for clauses
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 120762
% 32.41/32.80 Kept: 46590
% 32.41/32.80 Inuse: 1036
% 32.41/32.80 Deleted: 3206
% 32.41/32.80 Deletedinuse: 132
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 125746
% 32.41/32.80 Kept: 49434
% 32.41/32.80 Inuse: 1041
% 32.41/32.80 Deleted: 3206
% 32.41/32.80 Deletedinuse: 132
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 131001
% 32.41/32.80 Kept: 52431
% 32.41/32.80 Inuse: 1046
% 32.41/32.80 Deleted: 3206
% 32.41/32.80 Deletedinuse: 132
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 136441
% 32.41/32.80 Kept: 56236
% 32.41/32.80 Inuse: 1051
% 32.41/32.80 Deleted: 3206
% 32.41/32.80 Deletedinuse: 132
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 141921
% 32.41/32.80 Kept: 60051
% 32.41/32.80 Inuse: 1056
% 32.41/32.80 Deleted: 3206
% 32.41/32.80 Deletedinuse: 132
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 Resimplifying clauses:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 *** allocated 1297440 integers for termspace/termends
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 152701
% 32.41/32.80 Kept: 66411
% 32.41/32.80 Inuse: 1061
% 32.41/32.80 Deleted: 3687
% 32.41/32.80 Deletedinuse: 132
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 158284
% 32.41/32.80 Kept: 69115
% 32.41/32.80 Inuse: 1066
% 32.41/32.80 Deleted: 3687
% 32.41/32.80 Deletedinuse: 132
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 *** allocated 4378860 integers for clauses
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 163080
% 32.41/32.80 Kept: 71398
% 32.41/32.80 Inuse: 1071
% 32.41/32.80 Deleted: 3687
% 32.41/32.80 Deletedinuse: 132
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 167882
% 32.41/32.80 Kept: 73972
% 32.41/32.80 Inuse: 1076
% 32.41/32.80 Deleted: 3687
% 32.41/32.80 Deletedinuse: 132
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 172679
% 32.41/32.80 Kept: 76539
% 32.41/32.80 Inuse: 1081
% 32.41/32.80 Deleted: 3687
% 32.41/32.80 Deletedinuse: 132
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 177782
% 32.41/32.80 Kept: 79512
% 32.41/32.80 Inuse: 1086
% 32.41/32.80 Deleted: 3687
% 32.41/32.80 Deletedinuse: 132
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Intermediate Status:
% 32.41/32.80 Generated: 183279
% 32.41/32.80 Kept: 82727
% 32.41/32.80 Inuse: 1091
% 32.41/32.80 Deleted: 3687
% 32.41/32.80 Deletedinuse: 132
% 32.41/32.80
% 32.41/32.80 Resimplifying inuse:
% 32.41/32.80 Done
% 32.41/32.80
% 32.41/32.80 Resimplifying clauses:
% 32.41/32.80
% 32.41/32.80 Bliksems!, er is een bewijs:
% 32.41/32.80 % SZS status Theorem
% 32.41/32.80 % SZS output start Refutation
% 32.41/32.80
% 32.41/32.80 (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X ), member( Z
% 32.41/32.80 , Y ) }.
% 32.41/32.80 (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subclass( X, Y )
% 32.41/32.80 }.
% 32.41/32.80 (3) {G0,W3,D2,L1,V1,M1} I { subclass( X, universal_class ) }.
% 32.41/32.80 (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subclass( X, Y ) }.
% 32.41/32.80 (5) {G0,W9,D2,L3,V2,M3} I { ! subclass( X, Y ), ! subclass( Y, X ), X = Y
% 32.41/32.80 }.
% 32.41/32.80 (7) {G0,W9,D3,L2,V3,M2} I { ! member( X, unordered_pair( Y, Z ) ), alpha1(
% 32.41/32.80 X, Y, Z ) }.
% 32.41/32.80 (9) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), X = Y, X = Z }.
% 32.41/32.80 (32) {G0,W3,D2,L1,V1,M1} I { ! member( X, null_class ) }.
% 32.41/32.80 (92) {G0,W3,D2,L1,V0,M1} I { ! member( skol8, universal_class ) }.
% 32.41/32.80 (93) {G0,W3,D2,L1,V0,M1} I { ! member( skol9, universal_class ) }.
% 32.41/32.80 (94) {G0,W5,D3,L1,V0,M1} I { ! unordered_pair( skol8, skol9 ) ==>
% 32.41/32.80 null_class }.
% 32.41/32.80 (116) {G1,W3,D2,L1,V1,M1} R(93,0);r(3) { ! member( skol9, X ) }.
% 32.41/32.80 (117) {G1,W3,D2,L1,V1,M1} R(92,0);r(3) { ! member( skol8, X ) }.
% 32.41/32.80 (124) {G1,W3,D2,L1,V1,M1} R(2,32) { subclass( null_class, X ) }.
% 32.41/32.80 (135) {G1,W6,D2,L2,V2,M2} R(5,4);r(4) { X = Y, ! Y = X }.
% 32.41/32.80 (147) {G1,W13,D3,L3,V1,M3} P(5,94) { ! X = null_class, ! subclass(
% 32.41/32.80 unordered_pair( skol8, skol9 ), X ), ! subclass( X, unordered_pair( skol8
% 32.41/32.80 , skol9 ) ) }.
% 32.41/32.80 (164) {G2,W5,D3,L1,V0,M1} Q(147);r(124) { ! subclass( unordered_pair( skol8
% 32.41/32.80 , skol9 ), null_class ) }.
% 32.41/32.80 (177) {G3,W9,D4,L1,V0,M1} R(164,2) { member( skol1( unordered_pair( skol8,
% 32.41/32.80 skol9 ), null_class ), unordered_pair( skol8, skol9 ) ) }.
% 32.41/32.80 (212) {G2,W6,D2,L2,V2,M2} P(135,117) { ! member( X, Y ), ! X = skol8 }.
% 32.41/32.80 (213) {G2,W6,D2,L2,V2,M2} P(135,116) { ! member( X, Y ), ! X = skol9 }.
% 32.41/32.80 (270) {G1,W11,D3,L3,V3,M3} R(9,7) { X = Y, X = Z, ! member( X,
% 32.41/32.80 unordered_pair( Y, Z ) ) }.
% 32.41/32.80 (24951) {G4,W7,D4,L1,V0,M1} R(177,213) { ! skol1( unordered_pair( skol8,
% 32.41/32.80 skol9 ), null_class ) ==> skol9 }.
% 32.41/32.80 (24952) {G4,W7,D4,L1,V0,M1} R(177,212) { ! skol1( unordered_pair( skol8,
% 32.41/32.80 skol9 ), null_class ) ==> skol8 }.
% 32.41/32.80 (60589) {G4,W14,D4,L2,V0,M2} R(270,177) { skol1( unordered_pair( skol8,
% 32.41/32.80 skol9 ), null_class ) ==> skol8, skol1( unordered_pair( skol8, skol9 ),
% 32.41/32.80 null_class ) ==> skol9 }.
% 32.41/32.80 (82727) {G5,W0,D0,L0,V0,M0} S(60589);r(24952);r(24951) { }.
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 % SZS output end Refutation
% 32.41/32.80 found a proof!
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Unprocessed initial clauses:
% 32.41/32.80
% 32.41/32.80 (82729) {G0,W9,D2,L3,V3,M3} { ! subclass( X, Y ), ! member( Z, X ), member
% 32.41/32.80 ( Z, Y ) }.
% 32.41/32.80 (82730) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ), subclass( X, Y
% 32.41/32.80 ) }.
% 32.41/32.80 (82731) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subclass( X, Y )
% 32.41/32.80 }.
% 32.41/32.80 (82732) {G0,W3,D2,L1,V1,M1} { subclass( X, universal_class ) }.
% 32.41/32.80 (82733) {G0,W6,D2,L2,V2,M2} { ! X = Y, subclass( X, Y ) }.
% 32.41/32.80 (82734) {G0,W6,D2,L2,V2,M2} { ! X = Y, subclass( Y, X ) }.
% 32.41/32.80 (82735) {G0,W9,D2,L3,V2,M3} { ! subclass( X, Y ), ! subclass( Y, X ), X =
% 32.41/32.80 Y }.
% 32.41/32.80 (82736) {G0,W8,D3,L2,V3,M2} { ! member( X, unordered_pair( Y, Z ) ),
% 32.41/32.80 member( X, universal_class ) }.
% 32.41/32.80 (82737) {G0,W9,D3,L2,V3,M2} { ! member( X, unordered_pair( Y, Z ) ),
% 32.41/32.80 alpha1( X, Y, Z ) }.
% 32.41/32.80 (82738) {G0,W12,D3,L3,V3,M3} { ! member( X, universal_class ), ! alpha1( X
% 32.41/32.80 , Y, Z ), member( X, unordered_pair( Y, Z ) ) }.
% 32.41/32.80 (82739) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), X = Y, X = Z }.
% 32.41/32.80 (82740) {G0,W7,D2,L2,V3,M2} { ! X = Y, alpha1( X, Y, Z ) }.
% 32.41/32.80 (82741) {G0,W7,D2,L2,V3,M2} { ! X = Z, alpha1( X, Y, Z ) }.
% 32.41/32.80 (82742) {G0,W5,D3,L1,V2,M1} { member( unordered_pair( X, Y ),
% 32.41/32.80 universal_class ) }.
% 32.41/32.80 (82743) {G0,W6,D3,L1,V1,M1} { singleton( X ) = unordered_pair( X, X ) }.
% 32.41/32.80 (82744) {G0,W11,D5,L1,V2,M1} { ordered_pair( X, Y ) = unordered_pair(
% 32.41/32.80 singleton( X ), unordered_pair( X, singleton( Y ) ) ) }.
% 32.41/32.80 (82745) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( X, Y ),
% 32.41/32.80 cross_product( Z, T ) ), member( X, Z ) }.
% 32.41/32.80 (82746) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( X, Y ),
% 32.41/32.80 cross_product( Z, T ) ), member( Y, T ) }.
% 32.41/32.80 (82747) {G0,W13,D3,L3,V4,M3} { ! member( X, Z ), ! member( Y, T ), member
% 32.41/32.80 ( ordered_pair( X, Y ), cross_product( Z, T ) ) }.
% 32.41/32.80 (82748) {G0,W12,D4,L3,V2,M3} { ! member( X, universal_class ), ! member( Y
% 32.41/32.80 , universal_class ), first( ordered_pair( X, Y ) ) = X }.
% 32.41/32.80 (82749) {G0,W12,D4,L3,V2,M3} { ! member( X, universal_class ), ! member( Y
% 32.41/32.80 , universal_class ), second( ordered_pair( X, Y ) ) = Y }.
% 32.41/32.80 (82750) {G0,W12,D4,L2,V3,M2} { ! member( X, cross_product( Y, Z ) ), X =
% 32.41/32.80 ordered_pair( first( X ), second( X ) ) }.
% 32.41/32.80 (82751) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 32.41/32.80 element_relation ), member( Y, universal_class ) }.
% 32.41/32.80 (82752) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 32.41/32.80 element_relation ), member( X, Y ) }.
% 32.41/32.80 (82753) {G0,W11,D3,L3,V2,M3} { ! member( Y, universal_class ), ! member( X
% 32.41/32.80 , Y ), member( ordered_pair( X, Y ), element_relation ) }.
% 32.41/32.80 (82754) {G0,W5,D3,L1,V0,M1} { subclass( element_relation, cross_product(
% 32.41/32.80 universal_class, universal_class ) ) }.
% 32.41/32.80 (82755) {G0,W8,D3,L2,V3,M2} { ! member( Z, intersection( X, Y ) ), member
% 32.41/32.80 ( Z, X ) }.
% 32.41/32.80 (82756) {G0,W8,D3,L2,V3,M2} { ! member( Z, intersection( X, Y ) ), member
% 32.41/32.80 ( Z, Y ) }.
% 32.41/32.80 (82757) {G0,W11,D3,L3,V3,M3} { ! member( Z, X ), ! member( Z, Y ), member
% 32.41/32.80 ( Z, intersection( X, Y ) ) }.
% 32.41/32.80 (82758) {G0,W7,D3,L2,V2,M2} { ! member( Y, complement( X ) ), member( Y,
% 32.41/32.80 universal_class ) }.
% 32.41/32.80 (82759) {G0,W7,D3,L2,V2,M2} { ! member( Y, complement( X ) ), ! member( Y
% 32.41/32.80 , X ) }.
% 32.41/32.80 (82760) {G0,W10,D3,L3,V2,M3} { ! member( Y, universal_class ), member( Y,
% 32.41/32.80 X ), member( Y, complement( X ) ) }.
% 32.41/32.80 (82761) {G0,W10,D4,L1,V3,M1} { restrict( Y, X, Z ) = intersection( Y,
% 32.41/32.80 cross_product( X, Z ) ) }.
% 32.41/32.80 (82762) {G0,W3,D2,L1,V1,M1} { ! member( X, null_class ) }.
% 32.41/32.80 (82763) {G0,W7,D3,L2,V2,M2} { ! member( Y, domain_of( X ) ), member( Y,
% 32.41/32.80 universal_class ) }.
% 32.41/32.80 (82764) {G0,W11,D4,L2,V2,M2} { ! member( Y, domain_of( X ) ), ! restrict(
% 32.41/32.80 X, singleton( Y ), universal_class ) = null_class }.
% 32.41/32.80 (82765) {G0,W14,D4,L3,V2,M3} { ! member( Y, universal_class ), restrict( X
% 32.41/32.80 , singleton( Y ), universal_class ) = null_class, member( Y, domain_of( X
% 32.41/32.80 ) ) }.
% 32.41/32.80 (82766) {G0,W19,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( Y, Z
% 32.41/32.80 ), T ), rotate( X ) ), member( ordered_pair( ordered_pair( Y, Z ), T ),
% 32.41/32.80 cross_product( cross_product( universal_class, universal_class ),
% 32.41/32.80 universal_class ) ) }.
% 32.41/32.80 (82767) {G0,W15,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( Y, Z
% 32.41/32.80 ), T ), rotate( X ) ), member( ordered_pair( ordered_pair( Z, T ), Y ),
% 32.41/32.80 X ) }.
% 32.41/32.80 (82768) {G0,W26,D4,L3,V4,M3} { ! member( ordered_pair( ordered_pair( Y, Z
% 32.41/32.80 ), T ), cross_product( cross_product( universal_class, universal_class )
% 32.41/32.80 , universal_class ) ), ! member( ordered_pair( ordered_pair( Z, T ), Y )
% 32.41/32.80 , X ), member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ) }.
% 32.41/32.80 (82769) {G0,W8,D4,L1,V1,M1} { subclass( rotate( X ), cross_product(
% 32.41/32.80 cross_product( universal_class, universal_class ), universal_class ) )
% 32.41/32.80 }.
% 32.41/32.80 (82770) {G0,W19,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( X, Y
% 32.41/32.80 ), Z ), flip( T ) ), member( ordered_pair( ordered_pair( X, Y ), Z ),
% 32.41/32.80 cross_product( cross_product( universal_class, universal_class ),
% 32.41/32.80 universal_class ) ) }.
% 32.41/32.80 (82771) {G0,W15,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( X, Y
% 32.41/32.80 ), Z ), flip( T ) ), member( ordered_pair( ordered_pair( Y, X ), Z ), T
% 32.41/32.80 ) }.
% 32.41/32.80 (82772) {G0,W26,D4,L3,V4,M3} { ! member( ordered_pair( ordered_pair( X, Y
% 32.41/32.80 ), Z ), cross_product( cross_product( universal_class, universal_class )
% 32.41/32.80 , universal_class ) ), ! member( ordered_pair( ordered_pair( Y, X ), Z )
% 32.41/32.80 , T ), member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ) }.
% 32.41/32.80 (82773) {G0,W8,D4,L1,V1,M1} { subclass( flip( X ), cross_product(
% 32.41/32.80 cross_product( universal_class, universal_class ), universal_class ) )
% 32.41/32.80 }.
% 32.41/32.80 (82774) {G0,W11,D3,L3,V3,M3} { ! member( Z, union( X, Y ) ), member( Z, X
% 32.41/32.80 ), member( Z, Y ) }.
% 32.41/32.80 (82775) {G0,W8,D3,L2,V3,M2} { ! member( Z, X ), member( Z, union( X, Y ) )
% 32.41/32.80 }.
% 32.41/32.80 (82776) {G0,W8,D3,L2,V3,M2} { ! member( Z, Y ), member( Z, union( X, Y ) )
% 32.41/32.80 }.
% 32.41/32.80 (82777) {G0,W7,D4,L1,V1,M1} { successor( X ) = union( X, singleton( X ) )
% 32.41/32.80 }.
% 32.41/32.80 (82778) {G0,W5,D3,L1,V0,M1} { subclass( successor_relation, cross_product
% 32.41/32.80 ( universal_class, universal_class ) ) }.
% 32.41/32.80 (82779) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 32.41/32.80 successor_relation ), member( X, universal_class ) }.
% 32.41/32.80 (82780) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 32.41/32.80 successor_relation ), alpha2( X, Y ) }.
% 32.41/32.80 (82781) {G0,W11,D3,L3,V2,M3} { ! member( X, universal_class ), ! alpha2( X
% 32.41/32.80 , Y ), member( ordered_pair( X, Y ), successor_relation ) }.
% 32.41/32.80 (82782) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), member( Y, universal_class
% 32.41/32.80 ) }.
% 32.41/32.80 (82783) {G0,W7,D3,L2,V2,M2} { ! alpha2( X, Y ), successor( X ) = Y }.
% 32.41/32.80 (82784) {G0,W10,D3,L3,V2,M3} { ! member( Y, universal_class ), ! successor
% 32.41/32.80 ( X ) = Y, alpha2( X, Y ) }.
% 32.41/32.80 (82785) {G0,W8,D5,L1,V1,M1} { inverse( X ) = domain_of( flip(
% 32.41/32.80 cross_product( X, universal_class ) ) ) }.
% 32.41/32.80 (82786) {G0,W6,D4,L1,V1,M1} { range_of( X ) = domain_of( inverse( X ) )
% 32.41/32.80 }.
% 32.41/32.80 (82787) {G0,W9,D4,L1,V2,M1} { image( Y, X ) = range_of( restrict( Y, X,
% 32.41/32.80 universal_class ) ) }.
% 32.41/32.80 (82788) {G0,W5,D2,L2,V1,M2} { ! inductive( X ), member( null_class, X )
% 32.41/32.80 }.
% 32.41/32.80 (82789) {G0,W7,D3,L2,V1,M2} { ! inductive( X ), subclass( image(
% 32.41/32.80 successor_relation, X ), X ) }.
% 32.41/32.80 (82790) {G0,W10,D3,L3,V1,M3} { ! member( null_class, X ), ! subclass(
% 32.41/32.80 image( successor_relation, X ), X ), inductive( X ) }.
% 32.41/32.80 (82791) {G0,W3,D2,L1,V0,M1} { member( skol2, universal_class ) }.
% 32.41/32.80 (82792) {G0,W2,D2,L1,V0,M1} { inductive( skol2 ) }.
% 32.41/32.80 (82793) {G0,W5,D2,L2,V1,M2} { ! inductive( X ), subclass( skol2, X ) }.
% 32.41/32.80 (82794) {G0,W9,D3,L2,V3,M2} { ! member( X, sum_class( Y ) ), member( skol3
% 32.41/32.80 ( Z, Y ), Y ) }.
% 32.41/32.80 (82795) {G0,W9,D3,L2,V2,M2} { ! member( X, sum_class( Y ) ), member( X,
% 32.41/32.80 skol3( X, Y ) ) }.
% 32.41/32.80 (82796) {G0,W10,D3,L3,V3,M3} { ! member( X, Z ), ! member( Z, Y ), member
% 32.41/32.80 ( X, sum_class( Y ) ) }.
% 32.41/32.80 (82797) {G0,W7,D3,L2,V1,M2} { ! member( X, universal_class ), member(
% 32.41/32.80 sum_class( X ), universal_class ) }.
% 32.41/32.80 (82798) {G0,W7,D3,L2,V2,M2} { ! member( X, power_class( Y ) ), member( X,
% 32.41/32.80 universal_class ) }.
% 32.41/32.80 (82799) {G0,W7,D3,L2,V2,M2} { ! member( X, power_class( Y ) ), subclass( X
% 32.41/32.80 , Y ) }.
% 32.41/32.80 (82800) {G0,W10,D3,L3,V2,M3} { ! member( X, universal_class ), ! subclass
% 32.41/32.80 ( X, Y ), member( X, power_class( Y ) ) }.
% 32.41/32.80 (82801) {G0,W7,D3,L2,V1,M2} { ! member( X, universal_class ), member(
% 32.41/32.80 power_class( X ), universal_class ) }.
% 32.41/32.80 (82802) {G0,W7,D3,L1,V2,M1} { subclass( compose( Y, X ), cross_product(
% 32.41/32.80 universal_class, universal_class ) ) }.
% 32.41/32.80 (82803) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( Z, T ), compose( Y
% 32.41/32.80 , X ) ), member( Z, universal_class ) }.
% 32.41/32.80 (82804) {G0,W15,D5,L2,V4,M2} { ! member( ordered_pair( Z, T ), compose( Y
% 32.41/32.80 , X ) ), member( T, image( Y, image( X, singleton( Z ) ) ) ) }.
% 32.41/32.80 (82805) {G0,W18,D5,L3,V4,M3} { ! member( Z, universal_class ), ! member( T
% 32.41/32.80 , image( Y, image( X, singleton( Z ) ) ) ), member( ordered_pair( Z, T )
% 32.41/32.80 , compose( Y, X ) ) }.
% 32.41/32.80 (82806) {G0,W7,D3,L2,V2,M2} { ! member( X, identity_relation ), member(
% 32.41/32.80 skol4( Y ), universal_class ) }.
% 32.41/32.80 (82807) {G0,W10,D4,L2,V1,M2} { ! member( X, identity_relation ), X =
% 32.41/32.80 ordered_pair( skol4( X ), skol4( X ) ) }.
% 32.41/32.80 (82808) {G0,W11,D3,L3,V2,M3} { ! member( Y, universal_class ), ! X =
% 32.41/32.80 ordered_pair( Y, Y ), member( X, identity_relation ) }.
% 32.41/32.80 (82809) {G0,W7,D3,L2,V1,M2} { ! function( X ), subclass( X, cross_product
% 32.41/32.80 ( universal_class, universal_class ) ) }.
% 32.41/32.80 (82810) {G0,W8,D4,L2,V1,M2} { ! function( X ), subclass( compose( X,
% 32.41/32.80 inverse( X ) ), identity_relation ) }.
% 32.41/32.80 (82811) {G0,W13,D4,L3,V1,M3} { ! subclass( X, cross_product(
% 32.41/32.80 universal_class, universal_class ) ), ! subclass( compose( X, inverse( X
% 32.41/32.80 ) ), identity_relation ), function( X ) }.
% 32.41/32.80 (82812) {G0,W10,D3,L3,V2,M3} { ! member( X, universal_class ), ! function
% 32.41/32.80 ( Y ), member( image( Y, X ), universal_class ) }.
% 32.41/32.80 (82813) {G0,W9,D2,L3,V3,M3} { ! disjoint( X, Y ), ! member( Z, X ), !
% 32.41/32.80 member( Z, Y ) }.
% 32.41/32.80 (82814) {G0,W8,D3,L2,V3,M2} { member( skol5( Z, Y ), Y ), disjoint( X, Y )
% 32.41/32.80 }.
% 32.41/32.80 (82815) {G0,W8,D3,L2,V2,M2} { member( skol5( X, Y ), X ), disjoint( X, Y )
% 32.41/32.80 }.
% 32.41/32.80 (82816) {G0,W7,D3,L2,V2,M2} { X = null_class, member( skol6( Y ),
% 32.41/32.80 universal_class ) }.
% 32.41/32.80 (82817) {G0,W7,D3,L2,V1,M2} { X = null_class, member( skol6( X ), X ) }.
% 32.41/32.80 (82818) {G0,W7,D3,L2,V1,M2} { X = null_class, disjoint( skol6( X ), X )
% 32.41/32.80 }.
% 32.41/32.80 (82819) {G0,W9,D5,L1,V2,M1} { apply( X, Y ) = sum_class( image( X,
% 32.41/32.80 singleton( Y ) ) ) }.
% 32.41/32.80 (82820) {G0,W2,D2,L1,V0,M1} { function( skol7 ) }.
% 32.41/32.80 (82821) {G0,W11,D3,L3,V1,M3} { ! member( X, universal_class ), X =
% 32.41/32.80 null_class, member( apply( skol7, X ), X ) }.
% 32.41/32.80 (82822) {G0,W3,D2,L1,V0,M1} { ! member( skol8, universal_class ) }.
% 32.41/32.80 (82823) {G0,W3,D2,L1,V0,M1} { ! member( skol9, universal_class ) }.
% 32.41/32.80 (82824) {G0,W5,D3,L1,V0,M1} { ! unordered_pair( skol8, skol9 ) =
% 32.41/32.80 null_class }.
% 32.41/32.80
% 32.41/32.80
% 32.41/32.80 Total Proof:
% 32.41/32.80
% 32.41/32.80 subsumption: (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X
% 32.41/32.80 ), member( Z, Y ) }.
% 32.41/32.80 parent0: (82729) {G0,W9,D2,L3,V3,M3} { ! subclass( X, Y ), ! member( Z, X
% 32.41/32.80 ), member( Z, Y ) }.
% 32.41/32.80 substitution0:
% 32.41/32.80 X := X
% 32.41/32.80 Y := Y
% 32.41/32.80 Z := Z
% 32.41/32.80 end
% 32.41/32.80 permutation0:
% 32.41/32.80 0 ==> 0
% 32.41/32.80 1 ==> 1
% 32.41/32.80 2 ==> 2
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 subsumption: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ),
% 32.41/32.80 subclass( X, Y ) }.
% 32.41/32.80 parent0: (82731) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ),
% 32.41/32.80 subclass( X, Y ) }.
% 32.41/32.80 substitution0:
% 32.41/32.80 X := X
% 32.41/32.80 Y := Y
% 32.41/32.80 end
% 32.41/32.80 permutation0:
% 32.41/32.80 0 ==> 0
% 32.41/32.80 1 ==> 1
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 subsumption: (3) {G0,W3,D2,L1,V1,M1} I { subclass( X, universal_class ) }.
% 32.41/32.80 parent0: (82732) {G0,W3,D2,L1,V1,M1} { subclass( X, universal_class ) }.
% 32.41/32.80 substitution0:
% 32.41/32.80 X := X
% 32.41/32.80 end
% 32.41/32.80 permutation0:
% 32.41/32.80 0 ==> 0
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 subsumption: (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subclass( X, Y ) }.
% 32.41/32.80 parent0: (82733) {G0,W6,D2,L2,V2,M2} { ! X = Y, subclass( X, Y ) }.
% 32.41/32.80 substitution0:
% 32.41/32.80 X := X
% 32.41/32.80 Y := Y
% 32.41/32.80 end
% 32.41/32.80 permutation0:
% 32.41/32.80 0 ==> 0
% 32.41/32.80 1 ==> 1
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 subsumption: (5) {G0,W9,D2,L3,V2,M3} I { ! subclass( X, Y ), ! subclass( Y
% 32.41/32.80 , X ), X = Y }.
% 32.41/32.80 parent0: (82735) {G0,W9,D2,L3,V2,M3} { ! subclass( X, Y ), ! subclass( Y,
% 32.41/32.80 X ), X = Y }.
% 32.41/32.80 substitution0:
% 32.41/32.80 X := X
% 32.41/32.80 Y := Y
% 32.41/32.80 end
% 32.41/32.80 permutation0:
% 32.41/32.80 0 ==> 0
% 32.41/32.80 1 ==> 1
% 32.41/32.80 2 ==> 2
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 subsumption: (7) {G0,W9,D3,L2,V3,M2} I { ! member( X, unordered_pair( Y, Z
% 32.41/32.80 ) ), alpha1( X, Y, Z ) }.
% 32.41/32.80 parent0: (82737) {G0,W9,D3,L2,V3,M2} { ! member( X, unordered_pair( Y, Z )
% 32.41/32.80 ), alpha1( X, Y, Z ) }.
% 32.41/32.80 substitution0:
% 32.41/32.80 X := X
% 32.41/32.80 Y := Y
% 32.41/32.80 Z := Z
% 32.41/32.80 end
% 32.41/32.80 permutation0:
% 32.41/32.80 0 ==> 0
% 32.41/32.80 1 ==> 1
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 subsumption: (9) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), X = Y, X = Z
% 32.41/32.80 }.
% 32.41/32.80 parent0: (82739) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), X = Y, X = Z
% 32.41/32.80 }.
% 32.41/32.80 substitution0:
% 32.41/32.80 X := X
% 32.41/32.80 Y := Y
% 32.41/32.80 Z := Z
% 32.41/32.80 end
% 32.41/32.80 permutation0:
% 32.41/32.80 0 ==> 0
% 32.41/32.80 1 ==> 1
% 32.41/32.80 2 ==> 2
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 subsumption: (32) {G0,W3,D2,L1,V1,M1} I { ! member( X, null_class ) }.
% 32.41/32.80 parent0: (82762) {G0,W3,D2,L1,V1,M1} { ! member( X, null_class ) }.
% 32.41/32.80 substitution0:
% 32.41/32.80 X := X
% 32.41/32.80 end
% 32.41/32.80 permutation0:
% 32.41/32.80 0 ==> 0
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 subsumption: (92) {G0,W3,D2,L1,V0,M1} I { ! member( skol8, universal_class
% 32.41/32.80 ) }.
% 32.41/32.80 parent0: (82822) {G0,W3,D2,L1,V0,M1} { ! member( skol8, universal_class )
% 32.41/32.80 }.
% 32.41/32.80 substitution0:
% 32.41/32.80 end
% 32.41/32.80 permutation0:
% 32.41/32.80 0 ==> 0
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 subsumption: (93) {G0,W3,D2,L1,V0,M1} I { ! member( skol9, universal_class
% 32.41/32.80 ) }.
% 32.41/32.80 parent0: (82823) {G0,W3,D2,L1,V0,M1} { ! member( skol9, universal_class )
% 32.41/32.80 }.
% 32.41/32.80 substitution0:
% 32.41/32.80 end
% 32.41/32.80 permutation0:
% 32.41/32.80 0 ==> 0
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 subsumption: (94) {G0,W5,D3,L1,V0,M1} I { ! unordered_pair( skol8, skol9 )
% 32.41/32.80 ==> null_class }.
% 32.41/32.80 parent0: (82824) {G0,W5,D3,L1,V0,M1} { ! unordered_pair( skol8, skol9 ) =
% 32.41/32.80 null_class }.
% 32.41/32.80 substitution0:
% 32.41/32.80 end
% 32.41/32.80 permutation0:
% 32.41/32.80 0 ==> 0
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 resolution: (82993) {G1,W6,D2,L2,V1,M2} { ! subclass( X, universal_class )
% 32.41/32.80 , ! member( skol9, X ) }.
% 32.41/32.80 parent0[0]: (93) {G0,W3,D2,L1,V0,M1} I { ! member( skol9, universal_class )
% 32.41/32.80 }.
% 32.41/32.80 parent1[2]: (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X
% 32.41/32.80 ), member( Z, Y ) }.
% 32.41/32.80 substitution0:
% 32.41/32.80 end
% 32.41/32.80 substitution1:
% 32.41/32.80 X := X
% 32.41/32.80 Y := universal_class
% 32.41/32.80 Z := skol9
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 resolution: (82994) {G1,W3,D2,L1,V1,M1} { ! member( skol9, X ) }.
% 32.41/32.80 parent0[0]: (82993) {G1,W6,D2,L2,V1,M2} { ! subclass( X, universal_class )
% 32.41/32.80 , ! member( skol9, X ) }.
% 32.41/32.80 parent1[0]: (3) {G0,W3,D2,L1,V1,M1} I { subclass( X, universal_class ) }.
% 32.41/32.80 substitution0:
% 32.41/32.80 X := X
% 32.41/32.80 end
% 32.41/32.80 substitution1:
% 32.41/32.80 X := X
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 subsumption: (116) {G1,W3,D2,L1,V1,M1} R(93,0);r(3) { ! member( skol9, X )
% 32.41/32.80 }.
% 32.41/32.80 parent0: (82994) {G1,W3,D2,L1,V1,M1} { ! member( skol9, X ) }.
% 32.41/32.80 substitution0:
% 32.41/32.80 X := X
% 32.41/32.80 end
% 32.41/32.80 permutation0:
% 32.41/32.80 0 ==> 0
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 resolution: (82995) {G1,W6,D2,L2,V1,M2} { ! subclass( X, universal_class )
% 32.41/32.80 , ! member( skol8, X ) }.
% 32.41/32.80 parent0[0]: (92) {G0,W3,D2,L1,V0,M1} I { ! member( skol8, universal_class )
% 32.41/32.80 }.
% 32.41/32.80 parent1[2]: (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X
% 32.41/32.80 ), member( Z, Y ) }.
% 32.41/32.80 substitution0:
% 32.41/32.80 end
% 32.41/32.80 substitution1:
% 32.41/32.80 X := X
% 32.41/32.80 Y := universal_class
% 32.41/32.80 Z := skol8
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 resolution: (82996) {G1,W3,D2,L1,V1,M1} { ! member( skol8, X ) }.
% 32.41/32.80 parent0[0]: (82995) {G1,W6,D2,L2,V1,M2} { ! subclass( X, universal_class )
% 32.41/32.80 , ! member( skol8, X ) }.
% 32.41/32.80 parent1[0]: (3) {G0,W3,D2,L1,V1,M1} I { subclass( X, universal_class ) }.
% 32.41/32.80 substitution0:
% 32.41/32.80 X := X
% 32.41/32.80 end
% 32.41/32.80 substitution1:
% 32.41/32.80 X := X
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 subsumption: (117) {G1,W3,D2,L1,V1,M1} R(92,0);r(3) { ! member( skol8, X )
% 32.41/32.80 }.
% 32.41/32.80 parent0: (82996) {G1,W3,D2,L1,V1,M1} { ! member( skol8, X ) }.
% 32.41/32.80 substitution0:
% 32.41/32.80 X := X
% 32.41/32.80 end
% 32.41/32.80 permutation0:
% 32.41/32.80 0 ==> 0
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 resolution: (82997) {G1,W3,D2,L1,V1,M1} { subclass( null_class, X ) }.
% 32.41/32.80 parent0[0]: (32) {G0,W3,D2,L1,V1,M1} I { ! member( X, null_class ) }.
% 32.41/32.80 parent1[0]: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ),
% 32.41/32.80 subclass( X, Y ) }.
% 32.41/32.80 substitution0:
% 32.41/32.80 X := skol1( null_class, X )
% 32.41/32.80 end
% 32.41/32.80 substitution1:
% 32.41/32.80 X := null_class
% 32.41/32.80 Y := X
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 subsumption: (124) {G1,W3,D2,L1,V1,M1} R(2,32) { subclass( null_class, X )
% 32.41/32.80 }.
% 32.41/32.80 parent0: (82997) {G1,W3,D2,L1,V1,M1} { subclass( null_class, X ) }.
% 32.41/32.80 substitution0:
% 32.41/32.80 X := X
% 32.41/32.80 end
% 32.41/32.80 permutation0:
% 32.41/32.80 0 ==> 0
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 eqswap: (82998) {G0,W6,D2,L2,V2,M2} { ! Y = X, subclass( X, Y ) }.
% 32.41/32.80 parent0[0]: (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subclass( X, Y ) }.
% 32.41/32.80 substitution0:
% 32.41/32.80 X := X
% 32.41/32.80 Y := Y
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 eqswap: (82999) {G0,W6,D2,L2,V2,M2} { ! Y = X, subclass( X, Y ) }.
% 32.41/32.80 parent0[0]: (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subclass( X, Y ) }.
% 32.41/32.80 substitution0:
% 32.41/32.80 X := X
% 32.41/32.80 Y := Y
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 resolution: (83000) {G1,W9,D2,L3,V2,M3} { ! subclass( Y, X ), X = Y, ! Y =
% 32.41/32.80 X }.
% 32.41/32.80 parent0[0]: (5) {G0,W9,D2,L3,V2,M3} I { ! subclass( X, Y ), ! subclass( Y,
% 32.41/32.80 X ), X = Y }.
% 32.41/32.80 parent1[1]: (82998) {G0,W6,D2,L2,V2,M2} { ! Y = X, subclass( X, Y ) }.
% 32.41/32.80 substitution0:
% 32.41/32.80 X := X
% 32.41/32.80 Y := Y
% 32.41/32.80 end
% 32.41/32.80 substitution1:
% 32.41/32.80 X := X
% 32.41/32.80 Y := Y
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 resolution: (83002) {G1,W9,D2,L3,V2,M3} { Y = X, ! X = Y, ! Y = X }.
% 32.41/32.80 parent0[0]: (83000) {G1,W9,D2,L3,V2,M3} { ! subclass( Y, X ), X = Y, ! Y =
% 32.41/32.80 X }.
% 32.41/32.80 parent1[1]: (82999) {G0,W6,D2,L2,V2,M2} { ! Y = X, subclass( X, Y ) }.
% 32.41/32.80 substitution0:
% 32.41/32.80 X := Y
% 32.41/32.80 Y := X
% 32.41/32.80 end
% 32.41/32.80 substitution1:
% 32.41/32.80 X := X
% 32.41/32.80 Y := Y
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 eqswap: (83004) {G1,W9,D2,L3,V2,M3} { ! Y = X, X = Y, ! Y = X }.
% 32.41/32.80 parent0[2]: (83002) {G1,W9,D2,L3,V2,M3} { Y = X, ! X = Y, ! Y = X }.
% 32.41/32.80 substitution0:
% 32.41/32.80 X := Y
% 32.41/32.80 Y := X
% 32.41/32.80 end
% 32.41/32.80
% 32.41/32.80 factor:Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------