%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET103+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 22:47:08 EDT 2022
% Result : Theorem 1.69s 2.06s
% Output : Refutation 1.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET103+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.10/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sun Jul 10 17:12:26 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.71/1.09 *** allocated 10000 integers for termspace/termends
% 0.71/1.09 *** allocated 10000 integers for clauses
% 0.71/1.09 *** allocated 10000 integers for justifications
% 0.71/1.09 Bliksem 1.12
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Automatic Strategy Selection
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Clauses:
% 0.71/1.09
% 0.71/1.09 { ! subclass( X, Y ), ! member( Z, X ), member( Z, Y ) }.
% 0.71/1.09 { ! member( skol1( Z, Y ), Y ), subclass( X, Y ) }.
% 0.71/1.09 { member( skol1( X, Y ), X ), subclass( X, Y ) }.
% 0.71/1.09 { subclass( X, universal_class ) }.
% 0.71/1.09 { ! X = Y, subclass( X, Y ) }.
% 0.71/1.09 { ! X = Y, subclass( Y, X ) }.
% 0.71/1.09 { ! subclass( X, Y ), ! subclass( Y, X ), X = Y }.
% 0.71/1.09 { ! member( X, unordered_pair( Y, Z ) ), member( X, universal_class ) }.
% 0.71/1.09 { ! member( X, unordered_pair( Y, Z ) ), alpha1( X, Y, Z ) }.
% 0.71/1.09 { ! member( X, universal_class ), ! alpha1( X, Y, Z ), member( X,
% 0.71/1.09 unordered_pair( Y, Z ) ) }.
% 0.71/1.09 { ! alpha1( X, Y, Z ), X = Y, X = Z }.
% 0.71/1.09 { ! X = Y, alpha1( X, Y, Z ) }.
% 0.71/1.09 { ! X = Z, alpha1( X, Y, Z ) }.
% 0.71/1.09 { member( unordered_pair( X, Y ), universal_class ) }.
% 0.71/1.09 { singleton( X ) = unordered_pair( X, X ) }.
% 0.71/1.09 { ordered_pair( X, Y ) = unordered_pair( singleton( X ), unordered_pair( X
% 0.71/1.09 , singleton( Y ) ) ) }.
% 0.71/1.09 { ! member( ordered_pair( X, Y ), cross_product( Z, T ) ), member( X, Z ) }
% 0.71/1.09 .
% 0.71/1.09 { ! member( ordered_pair( X, Y ), cross_product( Z, T ) ), member( Y, T ) }
% 0.71/1.09 .
% 0.71/1.09 { ! member( X, Z ), ! member( Y, T ), member( ordered_pair( X, Y ),
% 0.71/1.09 cross_product( Z, T ) ) }.
% 0.71/1.09 { ! member( X, universal_class ), ! member( Y, universal_class ), first(
% 0.71/1.09 ordered_pair( X, Y ) ) = X }.
% 0.71/1.09 { ! member( X, universal_class ), ! member( Y, universal_class ), second(
% 0.71/1.09 ordered_pair( X, Y ) ) = Y }.
% 0.71/1.09 { ! member( X, cross_product( Y, Z ) ), X = ordered_pair( first( X ),
% 0.71/1.09 second( X ) ) }.
% 0.71/1.09 { ! member( ordered_pair( X, Y ), element_relation ), member( Y,
% 0.71/1.09 universal_class ) }.
% 0.71/1.09 { ! member( ordered_pair( X, Y ), element_relation ), member( X, Y ) }.
% 0.71/1.09 { ! member( Y, universal_class ), ! member( X, Y ), member( ordered_pair( X
% 0.71/1.09 , Y ), element_relation ) }.
% 0.71/1.09 { subclass( element_relation, cross_product( universal_class,
% 0.71/1.09 universal_class ) ) }.
% 0.71/1.09 { ! member( Z, intersection( X, Y ) ), member( Z, X ) }.
% 0.71/1.09 { ! member( Z, intersection( X, Y ) ), member( Z, Y ) }.
% 0.71/1.09 { ! member( Z, X ), ! member( Z, Y ), member( Z, intersection( X, Y ) ) }.
% 0.71/1.09 { ! member( Y, complement( X ) ), member( Y, universal_class ) }.
% 0.71/1.09 { ! member( Y, complement( X ) ), ! member( Y, X ) }.
% 0.71/1.09 { ! member( Y, universal_class ), member( Y, X ), member( Y, complement( X
% 0.71/1.09 ) ) }.
% 0.71/1.09 { restrict( Y, X, Z ) = intersection( Y, cross_product( X, Z ) ) }.
% 0.71/1.09 { ! member( X, null_class ) }.
% 0.71/1.09 { ! member( Y, domain_of( X ) ), member( Y, universal_class ) }.
% 0.71/1.09 { ! member( Y, domain_of( X ) ), ! restrict( X, singleton( Y ),
% 0.71/1.09 universal_class ) = null_class }.
% 0.71/1.09 { ! member( Y, universal_class ), restrict( X, singleton( Y ),
% 0.71/1.09 universal_class ) = null_class, member( Y, domain_of( X ) ) }.
% 0.71/1.09 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ), member
% 0.71/1.09 ( ordered_pair( ordered_pair( Y, Z ), T ), cross_product( cross_product(
% 0.71/1.09 universal_class, universal_class ), universal_class ) ) }.
% 0.71/1.09 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ), member
% 0.71/1.09 ( ordered_pair( ordered_pair( Z, T ), Y ), X ) }.
% 0.71/1.09 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), cross_product(
% 0.71/1.09 cross_product( universal_class, universal_class ), universal_class ) ), !
% 0.71/1.09 member( ordered_pair( ordered_pair( Z, T ), Y ), X ), member(
% 0.71/1.09 ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ) }.
% 0.71/1.09 { subclass( rotate( X ), cross_product( cross_product( universal_class,
% 0.71/1.09 universal_class ), universal_class ) ) }.
% 0.71/1.09 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ), member(
% 0.71/1.09 ordered_pair( ordered_pair( X, Y ), Z ), cross_product( cross_product(
% 0.71/1.09 universal_class, universal_class ), universal_class ) ) }.
% 0.71/1.09 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ), member(
% 0.71/1.09 ordered_pair( ordered_pair( Y, X ), Z ), T ) }.
% 0.71/1.09 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), cross_product(
% 0.71/1.09 cross_product( universal_class, universal_class ), universal_class ) ), !
% 0.71/1.09 member( ordered_pair( ordered_pair( Y, X ), Z ), T ), member(
% 0.71/1.09 ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ) }.
% 0.71/1.09 { subclass( flip( X ), cross_product( cross_product( universal_class,
% 0.88/1.27 universal_class ), universal_class ) ) }.
% 0.88/1.27 { ! member( Z, union( X, Y ) ), member( Z, X ), member( Z, Y ) }.
% 0.88/1.27 { ! member( Z, X ), member( Z, union( X, Y ) ) }.
% 0.88/1.27 { ! member( Z, Y ), member( Z, union( X, Y ) ) }.
% 0.88/1.27 { successor( X ) = union( X, singleton( X ) ) }.
% 0.88/1.27 { subclass( successor_relation, cross_product( universal_class,
% 0.88/1.27 universal_class ) ) }.
% 0.88/1.27 { ! member( ordered_pair( X, Y ), successor_relation ), member( X,
% 0.88/1.27 universal_class ) }.
% 0.88/1.27 { ! member( ordered_pair( X, Y ), successor_relation ), alpha2( X, Y ) }.
% 0.88/1.27 { ! member( X, universal_class ), ! alpha2( X, Y ), member( ordered_pair( X
% 0.88/1.27 , Y ), successor_relation ) }.
% 0.88/1.27 { ! alpha2( X, Y ), member( Y, universal_class ) }.
% 0.88/1.27 { ! alpha2( X, Y ), successor( X ) = Y }.
% 0.88/1.27 { ! member( Y, universal_class ), ! successor( X ) = Y, alpha2( X, Y ) }.
% 0.88/1.27 { inverse( X ) = domain_of( flip( cross_product( X, universal_class ) ) ) }
% 0.88/1.27 .
% 0.88/1.27 { range_of( X ) = domain_of( inverse( X ) ) }.
% 0.88/1.27 { image( Y, X ) = range_of( restrict( Y, X, universal_class ) ) }.
% 0.88/1.27 { ! inductive( X ), member( null_class, X ) }.
% 0.88/1.27 { ! inductive( X ), subclass( image( successor_relation, X ), X ) }.
% 0.88/1.27 { ! member( null_class, X ), ! subclass( image( successor_relation, X ), X
% 0.88/1.27 ), inductive( X ) }.
% 0.88/1.27 { member( skol2, universal_class ) }.
% 0.88/1.27 { inductive( skol2 ) }.
% 0.88/1.27 { ! inductive( X ), subclass( skol2, X ) }.
% 0.88/1.27 { ! member( X, sum_class( Y ) ), member( skol3( Z, Y ), Y ) }.
% 0.88/1.27 { ! member( X, sum_class( Y ) ), member( X, skol3( X, Y ) ) }.
% 0.88/1.27 { ! member( X, Z ), ! member( Z, Y ), member( X, sum_class( Y ) ) }.
% 0.88/1.27 { ! member( X, universal_class ), member( sum_class( X ), universal_class )
% 0.88/1.27 }.
% 0.88/1.27 { ! member( X, power_class( Y ) ), member( X, universal_class ) }.
% 0.88/1.27 { ! member( X, power_class( Y ) ), subclass( X, Y ) }.
% 0.88/1.27 { ! member( X, universal_class ), ! subclass( X, Y ), member( X,
% 0.88/1.27 power_class( Y ) ) }.
% 0.88/1.27 { ! member( X, universal_class ), member( power_class( X ), universal_class
% 0.88/1.27 ) }.
% 0.88/1.27 { subclass( compose( Y, X ), cross_product( universal_class,
% 0.88/1.27 universal_class ) ) }.
% 0.88/1.27 { ! member( ordered_pair( Z, T ), compose( Y, X ) ), member( Z,
% 0.88/1.27 universal_class ) }.
% 0.88/1.27 { ! member( ordered_pair( Z, T ), compose( Y, X ) ), member( T, image( Y,
% 0.88/1.27 image( X, singleton( Z ) ) ) ) }.
% 0.88/1.27 { ! member( Z, universal_class ), ! member( T, image( Y, image( X,
% 0.88/1.27 singleton( Z ) ) ) ), member( ordered_pair( Z, T ), compose( Y, X ) ) }.
% 0.88/1.27 { ! member( X, identity_relation ), member( skol4( Y ), universal_class ) }
% 0.88/1.27 .
% 0.88/1.27 { ! member( X, identity_relation ), X = ordered_pair( skol4( X ), skol4( X
% 0.88/1.27 ) ) }.
% 0.88/1.27 { ! member( Y, universal_class ), ! X = ordered_pair( Y, Y ), member( X,
% 0.88/1.27 identity_relation ) }.
% 0.88/1.27 { ! function( X ), subclass( X, cross_product( universal_class,
% 0.88/1.27 universal_class ) ) }.
% 0.88/1.27 { ! function( X ), subclass( compose( X, inverse( X ) ), identity_relation
% 0.88/1.27 ) }.
% 0.88/1.27 { ! subclass( X, cross_product( universal_class, universal_class ) ), !
% 0.88/1.27 subclass( compose( X, inverse( X ) ), identity_relation ), function( X )
% 0.88/1.27 }.
% 0.88/1.27 { ! member( X, universal_class ), ! function( Y ), member( image( Y, X ),
% 0.88/1.27 universal_class ) }.
% 0.88/1.27 { ! disjoint( X, Y ), ! member( Z, X ), ! member( Z, Y ) }.
% 0.88/1.27 { member( skol5( Z, Y ), Y ), disjoint( X, Y ) }.
% 0.88/1.27 { member( skol5( X, Y ), X ), disjoint( X, Y ) }.
% 0.88/1.27 { X = null_class, member( skol6( Y ), universal_class ) }.
% 0.88/1.27 { X = null_class, member( skol6( X ), X ) }.
% 0.88/1.27 { X = null_class, disjoint( skol6( X ), X ) }.
% 0.88/1.27 { apply( X, Y ) = sum_class( image( X, singleton( Y ) ) ) }.
% 0.88/1.27 { function( skol7 ) }.
% 0.88/1.27 { ! member( X, universal_class ), X = null_class, member( apply( skol7, X )
% 0.88/1.27 , X ) }.
% 0.88/1.27 { ! unordered_pair( singleton( skol9 ), unordered_pair( skol9, null_class )
% 0.88/1.27 ) = ordered_pair( skol9, skol8 ) }.
% 0.88/1.27 { ! member( skol8, universal_class ) }.
% 0.88/1.27
% 0.88/1.27 percentage equality = 0.149485, percentage horn = 0.884211
% 0.88/1.27 This is a problem with some equality
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 Options Used:
% 0.88/1.27
% 0.88/1.27 useres = 1
% 0.88/1.27 useparamod = 1
% 0.88/1.27 useeqrefl = 1
% 0.88/1.27 useeqfact = 1
% 0.88/1.27 usefactor = 1
% 0.88/1.27 usesimpsplitting = 0
% 0.88/1.27 usesimpdemod = 5
% 0.88/1.27 usesimpres = 3
% 0.88/1.27
% 0.88/1.27 resimpinuse = 1000
% 0.88/1.27 resimpclauses = 20000
% 0.88/1.27 substype = eqrewr
% 0.88/1.27 backwardsubs = 1
% 0.88/1.27 selectoldest = 5
% 1.69/2.06
% 1.69/2.06 litorderings [0] = split
% 1.69/2.06 litorderings [1] = extend the termordering, first sorting on arguments
% 1.69/2.06
% 1.69/2.06 termordering = kbo
% 1.69/2.06
% 1.69/2.06 litapriori = 0
% 1.69/2.06 termapriori = 1
% 1.69/2.06 litaposteriori = 0
% 1.69/2.06 termaposteriori = 0
% 1.69/2.06 demodaposteriori = 0
% 1.69/2.06 ordereqreflfact = 0
% 1.69/2.06
% 1.69/2.06 litselect = negord
% 1.69/2.06
% 1.69/2.06 maxweight = 15
% 1.69/2.06 maxdepth = 30000
% 1.69/2.06 maxlength = 115
% 1.69/2.06 maxnrvars = 195
% 1.69/2.06 excuselevel = 1
% 1.69/2.06 increasemaxweight = 1
% 1.69/2.06
% 1.69/2.06 maxselected = 10000000
% 1.69/2.06 maxnrclauses = 10000000
% 1.69/2.06
% 1.69/2.06 showgenerated = 0
% 1.69/2.06 showkept = 0
% 1.69/2.06 showselected = 0
% 1.69/2.06 showdeleted = 0
% 1.69/2.06 showresimp = 1
% 1.69/2.06 showstatus = 2000
% 1.69/2.06
% 1.69/2.06 prologoutput = 0
% 1.69/2.06 nrgoals = 5000000
% 1.69/2.06 totalproof = 1
% 1.69/2.06
% 1.69/2.06 Symbols occurring in the translation:
% 1.69/2.06
% 1.69/2.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.69/2.06 . [1, 2] (w:1, o:45, a:1, s:1, b:0),
% 1.69/2.06 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 1.69/2.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.69/2.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.69/2.06 subclass [37, 2] (w:1, o:69, a:1, s:1, b:0),
% 1.69/2.06 member [39, 2] (w:1, o:70, a:1, s:1, b:0),
% 1.69/2.06 universal_class [40, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.69/2.06 unordered_pair [41, 2] (w:1, o:71, a:1, s:1, b:0),
% 1.69/2.06 singleton [42, 1] (w:1, o:31, a:1, s:1, b:0),
% 1.69/2.06 ordered_pair [43, 2] (w:1, o:72, a:1, s:1, b:0),
% 1.69/2.06 cross_product [45, 2] (w:1, o:73, a:1, s:1, b:0),
% 1.69/2.06 first [46, 1] (w:1, o:32, a:1, s:1, b:0),
% 1.69/2.06 second [47, 1] (w:1, o:33, a:1, s:1, b:0),
% 1.69/2.06 element_relation [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.69/2.06 intersection [50, 2] (w:1, o:75, a:1, s:1, b:0),
% 1.69/2.06 complement [51, 1] (w:1, o:34, a:1, s:1, b:0),
% 1.69/2.06 restrict [53, 3] (w:1, o:84, a:1, s:1, b:0),
% 1.69/2.06 null_class [54, 0] (w:1, o:17, a:1, s:1, b:0),
% 1.69/2.06 domain_of [55, 1] (w:1, o:35, a:1, s:1, b:0),
% 1.69/2.06 rotate [57, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.69/2.06 flip [58, 1] (w:1, o:36, a:1, s:1, b:0),
% 1.69/2.06 union [59, 2] (w:1, o:76, a:1, s:1, b:0),
% 1.69/2.06 successor [60, 1] (w:1, o:37, a:1, s:1, b:0),
% 1.69/2.06 successor_relation [61, 0] (w:1, o:18, a:1, s:1, b:0),
% 1.69/2.06 inverse [62, 1] (w:1, o:38, a:1, s:1, b:0),
% 1.69/2.06 range_of [63, 1] (w:1, o:30, a:1, s:1, b:0),
% 1.69/2.06 image [64, 2] (w:1, o:74, a:1, s:1, b:0),
% 1.69/2.06 inductive [65, 1] (w:1, o:39, a:1, s:1, b:0),
% 1.69/2.06 sum_class [66, 1] (w:1, o:40, a:1, s:1, b:0),
% 1.69/2.06 power_class [67, 1] (w:1, o:41, a:1, s:1, b:0),
% 1.69/2.06 compose [69, 2] (w:1, o:77, a:1, s:1, b:0),
% 1.69/2.06 identity_relation [70, 0] (w:1, o:19, a:1, s:1, b:0),
% 1.69/2.06 function [72, 1] (w:1, o:42, a:1, s:1, b:0),
% 1.69/2.06 disjoint [73, 2] (w:1, o:78, a:1, s:1, b:0),
% 1.69/2.06 apply [74, 2] (w:1, o:79, a:1, s:1, b:0),
% 1.69/2.06 alpha1 [75, 3] (w:1, o:85, a:1, s:1, b:1),
% 1.69/2.06 alpha2 [76, 2] (w:1, o:80, a:1, s:1, b:1),
% 1.69/2.06 skol1 [77, 2] (w:1, o:81, a:1, s:1, b:1),
% 1.69/2.06 skol2 [78, 0] (w:1, o:20, a:1, s:1, b:1),
% 1.69/2.06 skol3 [79, 2] (w:1, o:82, a:1, s:1, b:1),
% 1.69/2.06 skol4 [80, 1] (w:1, o:43, a:1, s:1, b:1),
% 1.69/2.06 skol5 [81, 2] (w:1, o:83, a:1, s:1, b:1),
% 1.69/2.06 skol6 [82, 1] (w:1, o:44, a:1, s:1, b:1),
% 1.69/2.06 skol7 [83, 0] (w:1, o:21, a:1, s:1, b:1),
% 1.69/2.06 skol8 [84, 0] (w:1, o:22, a:1, s:1, b:1),
% 1.69/2.06 skol9 [85, 0] (w:1, o:23, a:1, s:1, b:1).
% 1.69/2.06
% 1.69/2.06
% 1.69/2.06 Starting Search:
% 1.69/2.06
% 1.69/2.06 *** allocated 15000 integers for clauses
% 1.69/2.06 *** allocated 22500 integers for clauses
% 1.69/2.06 *** allocated 33750 integers for clauses
% 1.69/2.06 *** allocated 50625 integers for clauses
% 1.69/2.06 *** allocated 15000 integers for termspace/termends
% 1.69/2.06 *** allocated 22500 integers for termspace/termends
% 1.69/2.06 Resimplifying inuse:
% 1.69/2.06 Done
% 1.69/2.06
% 1.69/2.06 *** allocated 75937 integers for clauses
% 1.69/2.06 *** allocated 33750 integers for termspace/termends
% 1.69/2.06 *** allocated 113905 integers for clauses
% 1.69/2.06
% 1.69/2.06 Intermediate Status:
% 1.69/2.06 Generated: 4269
% 1.69/2.06 Kept: 2017
% 1.69/2.06 Inuse: 134
% 1.69/2.06 Deleted: 6
% 1.69/2.06 Deletedinuse: 4
% 1.69/2.06
% 1.69/2.06 Resimplifying inuse:
% 1.69/2.06 Done
% 1.69/2.06
% 1.69/2.06 *** allocated 170857 integers for clauses
% 1.69/2.06 *** allocated 50625 integers for termspace/termends
% 1.69/2.06 Resimplifying inuse:
% 1.69/2.06 Done
% 1.69/2.06
% 1.69/2.06 *** allocated 75937 integers for termspace/termends
% 1.69/2.06 *** allocated 256285 integers for clauses
% 1.69/2.06
% 1.69/2.06 Intermediate Status:
% 1.69/2.06 Generated: 9757
% 1.69/2.06 Kept: 4041
% 1.69/2.06 Inuse: 214
% 1.69/2.06 Deleted: 14
% 1.69/2.06 Deletedinuse: 8
% 1.69/2.06
% 1.69/2.06 Resimplifying inuse:
% 1.69/2.06 Done
% 1.69/2.06
% 1.69/2.06 Resimplifying inuse:
% 1.69/2.06 Done
% 1.69/2.06
% 1.69/2.06 *** allocated 113905 integers for termspace/termends
% 1.69/2.06 *** allocated 384427 integers for clauses
% 1.69/2.06
% 1.69/2.06 Intermediate Status:
% 1.69/2.06 Generated: 13567
% 1.69/2.06 Kept: 6067
% 1.69/2.06 Inuse: 277
% 1.69/2.06 Deleted: 56
% 1.69/2.06 Deletedinuse: 45
% 1.69/2.06
% 1.69/2.06 Resimplifying inuse:
% 1.69/2.06 Done
% 1.69/2.06
% 1.69/2.06 Resimplifying inuse:
% 1.69/2.06 Done
% 1.69/2.06
% 1.69/2.06
% 1.69/2.06 Intermediate Status:
% 1.69/2.06 Generated: 17262
% 1.69/2.06 Kept: 8071
% 1.69/2.06 Inuse: 345
% 1.69/2.06 Deleted: 66
% 1.69/2.06 Deletedinuse: 52
% 1.69/2.06
% 1.69/2.06 Resimplifying inuse:
% 1.69/2.06 Done
% 1.69/2.06
% 1.69/2.06 *** allocated 576640 integers for clauses
% 1.69/2.06 *** allocated 170857 integers for termspace/termends
% 1.69/2.06 Resimplifying inuse:
% 1.69/2.06 Done
% 1.69/2.06
% 1.69/2.06
% 1.69/2.06 Intermediate Status:
% 1.69/2.06 Generated: 23602
% 1.69/2.06 Kept: 10107
% 1.69/2.06 Inuse: 392
% 1.69/2.06 Deleted: 76
% 1.69/2.06 Deletedinuse: 57
% 1.69/2.06
% 1.69/2.06 Resimplifying inuse:
% 1.69/2.06 Done
% 1.69/2.06
% 1.69/2.06 Resimplifying inuse:
% 1.69/2.06 Done
% 1.69/2.06
% 1.69/2.06 *** allocated 864960 integers for clauses
% 1.69/2.06 *** allocated 256285 integers for termspace/termends
% 1.69/2.06
% 1.69/2.06 Intermediate Status:
% 1.69/2.06 Generated: 28915
% 1.69/2.06 Kept: 12895
% 1.69/2.06 Inuse: 402
% 1.69/2.06 Deleted: 78
% 1.69/2.06 Deletedinuse: 59
% 1.69/2.06
% 1.69/2.06 Resimplifying inuse:
% 1.69/2.06 Done
% 1.69/2.06
% 1.69/2.06 Resimplifying inuse:
% 1.69/2.06 Done
% 1.69/2.06
% 1.69/2.06
% 1.69/2.06 Intermediate Status:
% 1.69/2.06 Generated: 33638
% 1.69/2.06 Kept: 14941
% 1.69/2.06 Inuse: 434
% 1.69/2.06 Deleted: 79
% 1.69/2.06 Deletedinuse: 59
% 1.69/2.06
% 1.69/2.06 Resimplifying inuse:
% 1.69/2.06 Done
% 1.69/2.06
% 1.69/2.06 Resimplifying inuse:
% 1.69/2.06 Done
% 1.69/2.06
% 1.69/2.06
% 1.69/2.06 Intermediate Status:
% 1.69/2.06 Generated: 38599
% 1.69/2.06 Kept: 16992
% 1.69/2.06 Inuse: 490
% 1.69/2.06 Deleted: 84
% 1.69/2.06 Deletedinuse: 62
% 1.69/2.06
% 1.69/2.06 Resimplifying inuse:
% 1.69/2.06
% 1.69/2.06 Bliksems!, er is een bewijs:
% 1.69/2.06 % SZS status Theorem
% 1.69/2.06 % SZS output start Refutation
% 1.69/2.06
% 1.69/2.06 (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X ), member( Z
% 1.69/2.06 , Y ) }.
% 1.69/2.06 (3) {G0,W3,D2,L1,V1,M1} I { subclass( X, universal_class ) }.
% 1.69/2.06 (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subclass( X, Y ) }.
% 1.69/2.06 (5) {G0,W9,D2,L3,V2,M3} I { ! subclass( X, Y ), ! subclass( Y, X ), X = Y
% 1.69/2.06 }.
% 1.69/2.06 (7) {G0,W9,D3,L2,V3,M2} I { ! member( X, unordered_pair( Y, Z ) ), alpha1(
% 1.69/2.06 X, Y, Z ) }.
% 1.69/2.06 (9) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), X = Y, X = Z }.
% 1.69/2.06 (13) {G0,W6,D3,L1,V1,M1} I { unordered_pair( X, X ) ==> singleton( X ) }.
% 1.69/2.06 (14) {G0,W11,D5,L1,V2,M1} I { unordered_pair( singleton( X ),
% 1.69/2.06 unordered_pair( X, singleton( Y ) ) ) ==> ordered_pair( X, Y ) }.
% 1.69/2.06 (32) {G0,W3,D2,L1,V1,M1} I { ! member( X, null_class ) }.
% 1.69/2.06 (45) {G0,W8,D3,L2,V3,M2} I { ! member( Z, X ), member( Z, union( X, Y ) )
% 1.69/2.06 }.
% 1.69/2.06 (47) {G0,W7,D4,L1,V1,M1} I { union( X, singleton( X ) ) ==> successor( X )
% 1.69/2.06 }.
% 1.69/2.06 (58) {G0,W5,D2,L2,V1,M2} I { ! inductive( X ), member( null_class, X ) }.
% 1.69/2.06 (62) {G0,W2,D2,L1,V0,M1} I { inductive( skol2 ) }.
% 1.69/2.06 (83) {G0,W9,D2,L3,V3,M3} I { ! disjoint( X, Y ), ! member( Z, X ), ! member
% 1.69/2.06 ( Z, Y ) }.
% 1.69/2.06 (85) {G0,W8,D3,L2,V2,M2} I { member( skol5( X, Y ), X ), disjoint( X, Y )
% 1.69/2.06 }.
% 1.69/2.06 (86) {G0,W7,D3,L2,V2,M2} I { X = null_class, member( skol6( Y ),
% 1.69/2.06 universal_class ) }.
% 1.69/2.06 (87) {G0,W7,D3,L2,V1,M2} I { X = null_class, member( skol6( X ), X ) }.
% 1.69/2.06 (92) {G0,W10,D4,L1,V0,M1} I { ! unordered_pair( singleton( skol9 ),
% 1.69/2.06 unordered_pair( skol9, null_class ) ) ==> ordered_pair( skol9, skol8 )
% 1.69/2.06 }.
% 1.69/2.06 (93) {G0,W3,D2,L1,V0,M1} I { ! member( skol8, universal_class ) }.
% 1.69/2.06 (95) {G1,W7,D2,L2,V2,M2} F(9) { ! alpha1( X, Y, Y ), X = Y }.
% 1.69/2.06 (113) {G1,W6,D2,L2,V2,M2} R(0,3) { ! member( X, Y ), member( X,
% 1.69/2.06 universal_class ) }.
% 1.69/2.06 (115) {G1,W3,D2,L1,V1,M1} R(93,0);r(3) { ! member( skol8, X ) }.
% 1.69/2.06 (122) {G1,W3,D2,L1,V0,M1} R(58,62) { member( null_class, skol2 ) }.
% 1.69/2.06 (143) {G1,W6,D2,L2,V2,M2} R(5,4);r(4) { X = Y, ! Y = X }.
% 1.69/2.06 (227) {G2,W6,D2,L2,V2,M2} P(143,115) { ! member( X, Y ), ! X = skol8 }.
% 1.69/2.06 (3788) {G2,W5,D3,L1,V1,M1} R(45,122) { member( null_class, union( skol2, X
% 1.69/2.06 ) ) }.
% 1.69/2.06 (4359) {G3,W4,D3,L1,V0,M1} P(47,3788) { member( null_class, successor(
% 1.69/2.06 skol2 ) ) }.
% 1.69/2.06 (8650) {G2,W9,D2,L3,V3,M3} R(83,113) { ! disjoint( universal_class, X ), !
% 1.69/2.06 member( Y, X ), ! member( Y, Z ) }.
% 1.69/2.06 (8667) {G3,W6,D2,L2,V2,M2} F(8650) { ! disjoint( universal_class, X ), !
% 1.69/2.06 member( Y, X ) }.
% 1.69/2.06 (8718) {G4,W4,D3,L1,V0,M1} R(8667,4359) { ! disjoint( universal_class,
% 1.69/2.06 successor( skol2 ) ) }.
% 1.69/2.06 (8916) {G1,W3,D2,L1,V1,M1} R(85,32) { disjoint( null_class, X ) }.
% 1.69/2.06 (9000) {G5,W4,D3,L1,V1,M1} P(86,8718);r(8916) { member( skol6( X ),
% 1.69/2.06 universal_class ) }.
% 1.69/2.06 (9058) {G6,W4,D3,L1,V1,M1} R(9000,227) { ! skol6( X ) ==> skol8 }.
% 1.69/2.06 (10297) {G7,W8,D3,L2,V2,M2} P(95,9058) { ! Y = skol8, ! alpha1( skol6( X )
% 1.69/2.06 , Y, Y ) }.
% 1.69/2.06 (11536) {G8,W5,D3,L1,V1,M1} Q(10297) { ! alpha1( skol6( X ), skol8, skol8 )
% 1.69/2.06 }.
% 1.69/2.06 (16280) {G9,W5,D3,L1,V1,M1} R(11536,7);d(13) { ! member( skol6( X ),
% 1.69/2.06 singleton( skol8 ) ) }.
% 1.69/2.06 (16283) {G10,W4,D3,L1,V0,M1} R(16280,87) { singleton( skol8 ) ==>
% 1.69/2.06 null_class }.
% 1.69/2.06 (16307) {G11,W10,D4,L1,V1,M1} P(16283,14) { unordered_pair( singleton( X )
% 1.69/2.06 , unordered_pair( X, null_class ) ) ==> ordered_pair( X, skol8 ) }.
% 1.69/2.06 (17213) {G12,W0,D0,L0,V0,M0} S(92);d(16307);q { }.
% 1.69/2.06
% 1.69/2.06
% 1.69/2.06 % SZS output end Refutation
% 1.69/2.06 found a proof!
% 1.69/2.06
% 1.69/2.06
% 1.69/2.06 Unprocessed initial clauses:
% 1.69/2.06
% 1.69/2.06 (17215) {G0,W9,D2,L3,V3,M3} { ! subclass( X, Y ), ! member( Z, X ), member
% 1.69/2.06 ( Z, Y ) }.
% 1.69/2.06 (17216) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ), subclass( X, Y
% 1.69/2.06 ) }.
% 1.69/2.06 (17217) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subclass( X, Y )
% 1.69/2.06 }.
% 1.69/2.06 (17218) {G0,W3,D2,L1,V1,M1} { subclass( X, universal_class ) }.
% 1.69/2.06 (17219) {G0,W6,D2,L2,V2,M2} { ! X = Y, subclass( X, Y ) }.
% 1.69/2.06 (17220) {G0,W6,D2,L2,V2,M2} { ! X = Y, subclass( Y, X ) }.
% 1.69/2.06 (17221) {G0,W9,D2,L3,V2,M3} { ! subclass( X, Y ), ! subclass( Y, X ), X =
% 1.69/2.06 Y }.
% 1.69/2.06 (17222) {G0,W8,D3,L2,V3,M2} { ! member( X, unordered_pair( Y, Z ) ),
% 1.69/2.06 member( X, universal_class ) }.
% 1.69/2.06 (17223) {G0,W9,D3,L2,V3,M2} { ! member( X, unordered_pair( Y, Z ) ),
% 1.69/2.06 alpha1( X, Y, Z ) }.
% 1.69/2.06 (17224) {G0,W12,D3,L3,V3,M3} { ! member( X, universal_class ), ! alpha1( X
% 1.69/2.06 , Y, Z ), member( X, unordered_pair( Y, Z ) ) }.
% 1.69/2.06 (17225) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), X = Y, X = Z }.
% 1.69/2.06 (17226) {G0,W7,D2,L2,V3,M2} { ! X = Y, alpha1( X, Y, Z ) }.
% 1.69/2.06 (17227) {G0,W7,D2,L2,V3,M2} { ! X = Z, alpha1( X, Y, Z ) }.
% 1.69/2.06 (17228) {G0,W5,D3,L1,V2,M1} { member( unordered_pair( X, Y ),
% 1.69/2.06 universal_class ) }.
% 1.69/2.06 (17229) {G0,W6,D3,L1,V1,M1} { singleton( X ) = unordered_pair( X, X ) }.
% 1.69/2.06 (17230) {G0,W11,D5,L1,V2,M1} { ordered_pair( X, Y ) = unordered_pair(
% 1.69/2.06 singleton( X ), unordered_pair( X, singleton( Y ) ) ) }.
% 1.69/2.06 (17231) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( X, Y ),
% 1.69/2.06 cross_product( Z, T ) ), member( X, Z ) }.
% 1.69/2.06 (17232) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( X, Y ),
% 1.69/2.06 cross_product( Z, T ) ), member( Y, T ) }.
% 1.69/2.06 (17233) {G0,W13,D3,L3,V4,M3} { ! member( X, Z ), ! member( Y, T ), member
% 1.69/2.06 ( ordered_pair( X, Y ), cross_product( Z, T ) ) }.
% 1.69/2.06 (17234) {G0,W12,D4,L3,V2,M3} { ! member( X, universal_class ), ! member( Y
% 1.69/2.06 , universal_class ), first( ordered_pair( X, Y ) ) = X }.
% 1.69/2.06 (17235) {G0,W12,D4,L3,V2,M3} { ! member( X, universal_class ), ! member( Y
% 1.69/2.06 , universal_class ), second( ordered_pair( X, Y ) ) = Y }.
% 1.69/2.06 (17236) {G0,W12,D4,L2,V3,M2} { ! member( X, cross_product( Y, Z ) ), X =
% 1.69/2.06 ordered_pair( first( X ), second( X ) ) }.
% 1.69/2.06 (17237) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 1.69/2.06 element_relation ), member( Y, universal_class ) }.
% 1.69/2.06 (17238) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 1.69/2.06 element_relation ), member( X, Y ) }.
% 1.69/2.06 (17239) {G0,W11,D3,L3,V2,M3} { ! member( Y, universal_class ), ! member( X
% 1.69/2.06 , Y ), member( ordered_pair( X, Y ), element_relation ) }.
% 1.69/2.06 (17240) {G0,W5,D3,L1,V0,M1} { subclass( element_relation, cross_product(
% 1.69/2.06 universal_class, universal_class ) ) }.
% 1.69/2.06 (17241) {G0,W8,D3,L2,V3,M2} { ! member( Z, intersection( X, Y ) ), member
% 1.69/2.06 ( Z, X ) }.
% 1.69/2.06 (17242) {G0,W8,D3,L2,V3,M2} { ! member( Z, intersection( X, Y ) ), member
% 1.69/2.06 ( Z, Y ) }.
% 1.69/2.06 (17243) {G0,W11,D3,L3,V3,M3} { ! member( Z, X ), ! member( Z, Y ), member
% 1.69/2.06 ( Z, intersection( X, Y ) ) }.
% 1.69/2.06 (17244) {G0,W7,D3,L2,V2,M2} { ! member( Y, complement( X ) ), member( Y,
% 1.69/2.06 universal_class ) }.
% 1.69/2.06 (17245) {G0,W7,D3,L2,V2,M2} { ! member( Y, complement( X ) ), ! member( Y
% 1.69/2.06 , X ) }.
% 1.69/2.06 (17246) {G0,W10,D3,L3,V2,M3} { ! member( Y, universal_class ), member( Y,
% 1.69/2.06 X ), member( Y, complement( X ) ) }.
% 1.69/2.06 (17247) {G0,W10,D4,L1,V3,M1} { restrict( Y, X, Z ) = intersection( Y,
% 1.69/2.06 cross_product( X, Z ) ) }.
% 1.69/2.06 (17248) {G0,W3,D2,L1,V1,M1} { ! member( X, null_class ) }.
% 1.69/2.06 (17249) {G0,W7,D3,L2,V2,M2} { ! member( Y, domain_of( X ) ), member( Y,
% 1.69/2.06 universal_class ) }.
% 1.69/2.06 (17250) {G0,W11,D4,L2,V2,M2} { ! member( Y, domain_of( X ) ), ! restrict(
% 1.69/2.06 X, singleton( Y ), universal_class ) = null_class }.
% 1.69/2.06 (17251) {G0,W14,D4,L3,V2,M3} { ! member( Y, universal_class ), restrict( X
% 1.69/2.06 , singleton( Y ), universal_class ) = null_class, member( Y, domain_of( X
% 1.69/2.06 ) ) }.
% 1.69/2.06 (17252) {G0,W19,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( Y, Z
% 1.69/2.06 ), T ), rotate( X ) ), member( ordered_pair( ordered_pair( Y, Z ), T ),
% 1.69/2.06 cross_product( cross_product( universal_class, universal_class ),
% 1.69/2.06 universal_class ) ) }.
% 1.69/2.06 (17253) {G0,W15,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( Y, Z
% 1.69/2.06 ), T ), rotate( X ) ), member( ordered_pair( ordered_pair( Z, T ), Y ),
% 1.69/2.06 X ) }.
% 1.69/2.06 (17254) {G0,W26,D4,L3,V4,M3} { ! member( ordered_pair( ordered_pair( Y, Z
% 1.69/2.06 ), T ), cross_product( cross_product( universal_class, universal_class )
% 1.69/2.06 , universal_class ) ), ! member( ordered_pair( ordered_pair( Z, T ), Y )
% 1.69/2.06 , X ), member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ) }.
% 1.69/2.06 (17255) {G0,W8,D4,L1,V1,M1} { subclass( rotate( X ), cross_product(
% 1.69/2.06 cross_product( universal_class, universal_class ), universal_class ) )
% 1.69/2.06 }.
% 1.69/2.06 (17256) {G0,W19,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( X, Y
% 1.69/2.06 ), Z ), flip( T ) ), member( ordered_pair( ordered_pair( X, Y ), Z ),
% 1.69/2.06 cross_product( cross_product( universal_class, universal_class ),
% 1.69/2.06 universal_class ) ) }.
% 1.69/2.06 (17257) {G0,W15,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( X, Y
% 1.69/2.06 ), Z ), flip( T ) ), member( ordered_pair( ordered_pair( Y, X ), Z ), T
% 1.69/2.06 ) }.
% 1.69/2.06 (17258) {G0,W26,D4,L3,V4,M3} { ! member( ordered_pair( ordered_pair( X, Y
% 1.69/2.06 ), Z ), cross_product( cross_product( universal_class, universal_class )
% 1.69/2.06 , universal_class ) ), ! member( ordered_pair( ordered_pair( Y, X ), Z )
% 1.69/2.06 , T ), member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ) }.
% 1.69/2.06 (17259) {G0,W8,D4,L1,V1,M1} { subclass( flip( X ), cross_product(
% 1.69/2.06 cross_product( universal_class, universal_class ), universal_class ) )
% 1.69/2.06 }.
% 1.69/2.06 (17260) {G0,W11,D3,L3,V3,M3} { ! member( Z, union( X, Y ) ), member( Z, X
% 1.69/2.06 ), member( Z, Y ) }.
% 1.69/2.06 (17261) {G0,W8,D3,L2,V3,M2} { ! member( Z, X ), member( Z, union( X, Y ) )
% 1.69/2.06 }.
% 1.69/2.06 (17262) {G0,W8,D3,L2,V3,M2} { ! member( Z, Y ), member( Z, union( X, Y ) )
% 1.69/2.06 }.
% 1.69/2.06 (17263) {G0,W7,D4,L1,V1,M1} { successor( X ) = union( X, singleton( X ) )
% 1.69/2.06 }.
% 1.69/2.06 (17264) {G0,W5,D3,L1,V0,M1} { subclass( successor_relation, cross_product
% 1.69/2.06 ( universal_class, universal_class ) ) }.
% 1.69/2.06 (17265) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 1.69/2.06 successor_relation ), member( X, universal_class ) }.
% 1.69/2.06 (17266) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 1.69/2.06 successor_relation ), alpha2( X, Y ) }.
% 1.69/2.06 (17267) {G0,W11,D3,L3,V2,M3} { ! member( X, universal_class ), ! alpha2( X
% 1.69/2.06 , Y ), member( ordered_pair( X, Y ), successor_relation ) }.
% 1.69/2.06 (17268) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), member( Y, universal_class
% 1.69/2.06 ) }.
% 1.69/2.06 (17269) {G0,W7,D3,L2,V2,M2} { ! alpha2( X, Y ), successor( X ) = Y }.
% 1.69/2.06 (17270) {G0,W10,D3,L3,V2,M3} { ! member( Y, universal_class ), ! successor
% 1.69/2.06 ( X ) = Y, alpha2( X, Y ) }.
% 1.69/2.06 (17271) {G0,W8,D5,L1,V1,M1} { inverse( X ) = domain_of( flip(
% 1.69/2.06 cross_product( X, universal_class ) ) ) }.
% 1.69/2.06 (17272) {G0,W6,D4,L1,V1,M1} { range_of( X ) = domain_of( inverse( X ) )
% 1.69/2.06 }.
% 1.69/2.06 (17273) {G0,W9,D4,L1,V2,M1} { image( Y, X ) = range_of( restrict( Y, X,
% 1.69/2.06 universal_class ) ) }.
% 1.69/2.06 (17274) {G0,W5,D2,L2,V1,M2} { ! inductive( X ), member( null_class, X )
% 1.69/2.06 }.
% 1.69/2.06 (17275) {G0,W7,D3,L2,V1,M2} { ! inductive( X ), subclass( image(
% 1.69/2.06 successor_relation, X ), X ) }.
% 1.69/2.06 (17276) {G0,W10,D3,L3,V1,M3} { ! member( null_class, X ), ! subclass(
% 1.69/2.06 image( successor_relation, X ), X ), inductive( X ) }.
% 1.69/2.06 (17277) {G0,W3,D2,L1,V0,M1} { member( skol2, universal_class ) }.
% 1.69/2.06 (17278) {G0,W2,D2,L1,V0,M1} { inductive( skol2 ) }.
% 1.69/2.06 (17279) {G0,W5,D2,L2,V1,M2} { ! inductive( X ), subclass( skol2, X ) }.
% 1.69/2.06 (17280) {G0,W9,D3,L2,V3,M2} { ! member( X, sum_class( Y ) ), member( skol3
% 1.69/2.06 ( Z, Y ), Y ) }.
% 1.69/2.06 (17281) {G0,W9,D3,L2,V2,M2} { ! member( X, sum_class( Y ) ), member( X,
% 1.69/2.06 skol3( X, Y ) ) }.
% 1.69/2.06 (17282) {G0,W10,D3,L3,V3,M3} { ! member( X, Z ), ! member( Z, Y ), member
% 1.69/2.06 ( X, sum_class( Y ) ) }.
% 1.69/2.06 (17283) {G0,W7,D3,L2,V1,M2} { ! member( X, universal_class ), member(
% 1.69/2.06 sum_class( X ), universal_class ) }.
% 1.69/2.06 (17284) {G0,W7,D3,L2,V2,M2} { ! member( X, power_class( Y ) ), member( X,
% 1.69/2.06 universal_class ) }.
% 1.69/2.06 (17285) {G0,W7,D3,L2,V2,M2} { ! member( X, power_class( Y ) ), subclass( X
% 1.69/2.06 , Y ) }.
% 1.69/2.06 (17286) {G0,W10,D3,L3,V2,M3} { ! member( X, universal_class ), ! subclass
% 1.69/2.06 ( X, Y ), member( X, power_class( Y ) ) }.
% 1.69/2.06 (17287) {G0,W7,D3,L2,V1,M2} { ! member( X, universal_class ), member(
% 1.69/2.06 power_class( X ), universal_class ) }.
% 1.69/2.06 (17288) {G0,W7,D3,L1,V2,M1} { subclass( compose( Y, X ), cross_product(
% 1.69/2.06 universal_class, universal_class ) ) }.
% 1.69/2.06 (17289) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( Z, T ), compose( Y
% 1.69/2.06 , X ) ), member( Z, universal_class ) }.
% 1.69/2.06 (17290) {G0,W15,D5,L2,V4,M2} { ! member( ordered_pair( Z, T ), compose( Y
% 1.69/2.06 , X ) ), member( T, image( Y, image( X, singleton( Z ) ) ) ) }.
% 1.69/2.06 (17291) {G0,W18,D5,L3,V4,M3} { ! member( Z, universal_class ), ! member( T
% 1.69/2.06 , image( Y, image( X, singleton( Z ) ) ) ), member( ordered_pair( Z, T )
% 1.69/2.06 , compose( Y, X ) ) }.
% 1.69/2.06 (17292) {G0,W7,D3,L2,V2,M2} { ! member( X, identity_relation ), member(
% 1.69/2.06 skol4( Y ), universal_class ) }.
% 1.69/2.06 (17293) {G0,W10,D4,L2,V1,M2} { ! member( X, identity_relation ), X =
% 1.69/2.06 ordered_pair( skol4( X ), skol4( X ) ) }.
% 1.69/2.06 (17294) {G0,W11,D3,L3,V2,M3} { ! member( Y, universal_class ), ! X =
% 1.69/2.06 ordered_pair( Y, Y ), member( X, identity_relation ) }.
% 1.69/2.06 (17295) {G0,W7,D3,L2,V1,M2} { ! function( X ), subclass( X, cross_product
% 1.69/2.06 ( universal_class, universal_class ) ) }.
% 1.69/2.06 (17296) {G0,W8,D4,L2,V1,M2} { ! function( X ), subclass( compose( X,
% 1.69/2.06 inverse( X ) ), identity_relation ) }.
% 1.69/2.06 (17297) {G0,W13,D4,L3,V1,M3} { ! subclass( X, cross_product(
% 1.69/2.06 universal_class, universal_class ) ), ! subclass( compose( X, inverse( X
% 1.69/2.06 ) ), identity_relation ), function( X ) }.
% 1.69/2.06 (17298) {G0,W10,D3,L3,V2,M3} { ! member( X, universal_class ), ! function
% 1.69/2.06 ( Y ), member( image( Y, X ), universal_class ) }.
% 1.69/2.06 (17299) {G0,W9,D2,L3,V3,M3} { ! disjoint( X, Y ), ! member( Z, X ), !
% 1.69/2.06 member( Z, Y ) }.
% 1.69/2.06 (17300) {G0,W8,D3,L2,V3,M2} { member( skol5( Z, Y ), Y ), disjoint( X, Y )
% 1.69/2.06 }.
% 1.69/2.06 (17301) {G0,W8,D3,L2,V2,M2} { member( skol5( X, Y ), X ), disjoint( X, Y )
% 1.69/2.06 }.
% 1.69/2.06 (17302) {G0,W7,D3,L2,V2,M2} { X = null_class, member( skol6( Y ),
% 1.69/2.06 universal_class ) }.
% 1.69/2.06 (17303) {G0,W7,D3,L2,V1,M2} { X = null_class, member( skol6( X ), X ) }.
% 1.69/2.06 (17304) {G0,W7,D3,L2,V1,M2} { X = null_class, disjoint( skol6( X ), X )
% 1.69/2.06 }.
% 1.69/2.06 (17305) {G0,W9,D5,L1,V2,M1} { apply( X, Y ) = sum_class( image( X,
% 1.69/2.06 singleton( Y ) ) ) }.
% 1.69/2.06 (17306) {G0,W2,D2,L1,V0,M1} { function( skol7 ) }.
% 1.69/2.06 (17307) {G0,W11,D3,L3,V1,M3} { ! member( X, universal_class ), X =
% 1.69/2.06 null_class, member( apply( skol7, X ), X ) }.
% 1.69/2.06 (17308) {G0,W10,D4,L1,V0,M1} { ! unordered_pair( singleton( skol9 ),
% 1.69/2.06 unordered_pair( skol9, null_class ) ) = ordered_pair( skol9, skol8 ) }.
% 1.69/2.06 (17309) {G0,W3,D2,L1,V0,M1} { ! member( skol8, universal_class ) }.
% 1.69/2.06
% 1.69/2.06
% 1.69/2.06 Total Proof:
% 1.69/2.06
% 1.69/2.06 subsumption: (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X
% 1.69/2.06 ), member( Z, Y ) }.
% 1.69/2.06 parent0: (17215) {G0,W9,D2,L3,V3,M3} { ! subclass( X, Y ), ! member( Z, X
% 1.69/2.06 ), member( Z, Y ) }.
% 1.69/2.06 substitution0:
% 1.69/2.06 X := X
% 1.69/2.06 Y := Y
% 1.69/2.06 Z := Z
% 1.69/2.06 end
% 1.69/2.06 permutation0:
% 1.69/2.06 0 ==> 0
% 1.69/2.06 1 ==> 1
% 1.69/2.06 2 ==> 2
% 1.69/2.06 end
% 1.69/2.06
% 1.69/2.06 subsumption: (3) {G0,W3,D2,L1,V1,M1} I { subclass( X, universal_class ) }.
% 1.69/2.06 parent0: (17218) {G0,W3,D2,L1,V1,M1} { subclass( X, universal_class ) }.
% 1.69/2.06 substitution0:
% 1.69/2.06 X := X
% 1.69/2.06 end
% 1.69/2.06 permutation0:
% 1.69/2.06 0 ==> 0
% 1.69/2.06 end
% 1.69/2.06
% 1.69/2.06 subsumption: (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subclass( X, Y ) }.
% 1.69/2.06 parent0: (17219) {G0,W6,D2,L2,V2,M2} { ! X = Y, subclass( X, Y ) }.
% 1.69/2.06 substitution0:
% 1.69/2.06 X := X
% 1.69/2.06 Y := Y
% 1.69/2.06 end
% 1.69/2.06 permutation0:
% 1.69/2.06 0 ==> 0
% 1.69/2.06 1 ==> 1
% 1.69/2.06 end
% 1.69/2.06
% 1.69/2.06 subsumption: (5) {G0,W9,D2,L3,V2,M3} I { ! subclass( X, Y ), ! subclass( Y
% 1.69/2.06 , X ), X = Y }.
% 1.69/2.06 parent0: (17221) {G0,W9,D2,L3,V2,M3} { ! subclass( X, Y ), ! subclass( Y,
% 1.69/2.06 X ), X = Y }.
% 1.69/2.06 substitution0:
% 1.69/2.06 X := X
% 1.69/2.06 Y := Y
% 1.69/2.06 end
% 1.69/2.06 permutation0:
% 1.69/2.06 0 ==> 0
% 1.69/2.06 1 ==> 1
% 1.69/2.06 2 ==> 2
% 1.69/2.06 end
% 1.69/2.06
% 1.69/2.06 subsumption: (7) {G0,W9,D3,L2,V3,M2} I { ! member( X, unordered_pair( Y, Z
% 1.69/2.06 ) ), alpha1( X, Y, Z ) }.
% 1.69/2.06 parent0: (17223) {G0,W9,D3,L2,V3,M2} { ! member( X, unordered_pair( Y, Z )
% 1.69/2.06 ), alpha1( X, Y, Z ) }.
% 1.69/2.06 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 Y := Y
% 1.69/2.07 Z := Z
% 1.69/2.07 end
% 1.69/2.07 permutation0:
% 1.69/2.07 0 ==> 0
% 1.69/2.07 1 ==> 1
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 subsumption: (9) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), X = Y, X = Z
% 1.69/2.07 }.
% 1.69/2.07 parent0: (17225) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), X = Y, X = Z
% 1.69/2.07 }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 Y := Y
% 1.69/2.07 Z := Z
% 1.69/2.07 end
% 1.69/2.07 permutation0:
% 1.69/2.07 0 ==> 0
% 1.69/2.07 1 ==> 1
% 1.69/2.07 2 ==> 2
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 eqswap: (17335) {G0,W6,D3,L1,V1,M1} { unordered_pair( X, X ) = singleton(
% 1.69/2.07 X ) }.
% 1.69/2.07 parent0[0]: (17229) {G0,W6,D3,L1,V1,M1} { singleton( X ) = unordered_pair
% 1.69/2.07 ( X, X ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 subsumption: (13) {G0,W6,D3,L1,V1,M1} I { unordered_pair( X, X ) ==>
% 1.69/2.07 singleton( X ) }.
% 1.69/2.07 parent0: (17335) {G0,W6,D3,L1,V1,M1} { unordered_pair( X, X ) = singleton
% 1.69/2.07 ( X ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 end
% 1.69/2.07 permutation0:
% 1.69/2.07 0 ==> 0
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 eqswap: (17347) {G0,W11,D5,L1,V2,M1} { unordered_pair( singleton( X ),
% 1.69/2.07 unordered_pair( X, singleton( Y ) ) ) = ordered_pair( X, Y ) }.
% 1.69/2.07 parent0[0]: (17230) {G0,W11,D5,L1,V2,M1} { ordered_pair( X, Y ) =
% 1.69/2.07 unordered_pair( singleton( X ), unordered_pair( X, singleton( Y ) ) ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 Y := Y
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 subsumption: (14) {G0,W11,D5,L1,V2,M1} I { unordered_pair( singleton( X ),
% 1.69/2.07 unordered_pair( X, singleton( Y ) ) ) ==> ordered_pair( X, Y ) }.
% 1.69/2.07 parent0: (17347) {G0,W11,D5,L1,V2,M1} { unordered_pair( singleton( X ),
% 1.69/2.07 unordered_pair( X, singleton( Y ) ) ) = ordered_pair( X, Y ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 Y := Y
% 1.69/2.07 end
% 1.69/2.07 permutation0:
% 1.69/2.07 0 ==> 0
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 subsumption: (32) {G0,W3,D2,L1,V1,M1} I { ! member( X, null_class ) }.
% 1.69/2.07 parent0: (17248) {G0,W3,D2,L1,V1,M1} { ! member( X, null_class ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 end
% 1.69/2.07 permutation0:
% 1.69/2.07 0 ==> 0
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 subsumption: (45) {G0,W8,D3,L2,V3,M2} I { ! member( Z, X ), member( Z,
% 1.69/2.07 union( X, Y ) ) }.
% 1.69/2.07 parent0: (17261) {G0,W8,D3,L2,V3,M2} { ! member( Z, X ), member( Z, union
% 1.69/2.07 ( X, Y ) ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 Y := Y
% 1.69/2.07 Z := Z
% 1.69/2.07 end
% 1.69/2.07 permutation0:
% 1.69/2.07 0 ==> 0
% 1.69/2.07 1 ==> 1
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 eqswap: (17427) {G0,W7,D4,L1,V1,M1} { union( X, singleton( X ) ) =
% 1.69/2.07 successor( X ) }.
% 1.69/2.07 parent0[0]: (17263) {G0,W7,D4,L1,V1,M1} { successor( X ) = union( X,
% 1.69/2.07 singleton( X ) ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 subsumption: (47) {G0,W7,D4,L1,V1,M1} I { union( X, singleton( X ) ) ==>
% 1.69/2.07 successor( X ) }.
% 1.69/2.07 parent0: (17427) {G0,W7,D4,L1,V1,M1} { union( X, singleton( X ) ) =
% 1.69/2.07 successor( X ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 end
% 1.69/2.07 permutation0:
% 1.69/2.07 0 ==> 0
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 subsumption: (58) {G0,W5,D2,L2,V1,M2} I { ! inductive( X ), member(
% 1.69/2.07 null_class, X ) }.
% 1.69/2.07 parent0: (17274) {G0,W5,D2,L2,V1,M2} { ! inductive( X ), member(
% 1.69/2.07 null_class, X ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 end
% 1.69/2.07 permutation0:
% 1.69/2.07 0 ==> 0
% 1.69/2.07 1 ==> 1
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 subsumption: (62) {G0,W2,D2,L1,V0,M1} I { inductive( skol2 ) }.
% 1.69/2.07 parent0: (17278) {G0,W2,D2,L1,V0,M1} { inductive( skol2 ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 end
% 1.69/2.07 permutation0:
% 1.69/2.07 0 ==> 0
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 subsumption: (83) {G0,W9,D2,L3,V3,M3} I { ! disjoint( X, Y ), ! member( Z,
% 1.69/2.07 X ), ! member( Z, Y ) }.
% 1.69/2.07 parent0: (17299) {G0,W9,D2,L3,V3,M3} { ! disjoint( X, Y ), ! member( Z, X
% 1.69/2.07 ), ! member( Z, Y ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 Y := Y
% 1.69/2.07 Z := Z
% 1.69/2.07 end
% 1.69/2.07 permutation0:
% 1.69/2.07 0 ==> 0
% 1.69/2.07 1 ==> 1
% 1.69/2.07 2 ==> 2
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 subsumption: (85) {G0,W8,D3,L2,V2,M2} I { member( skol5( X, Y ), X ),
% 1.69/2.07 disjoint( X, Y ) }.
% 1.69/2.07 parent0: (17301) {G0,W8,D3,L2,V2,M2} { member( skol5( X, Y ), X ),
% 1.69/2.07 disjoint( X, Y ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 Y := Y
% 1.69/2.07 end
% 1.69/2.07 permutation0:
% 1.69/2.07 0 ==> 0
% 1.69/2.07 1 ==> 1
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 subsumption: (86) {G0,W7,D3,L2,V2,M2} I { X = null_class, member( skol6( Y
% 1.69/2.07 ), universal_class ) }.
% 1.69/2.07 parent0: (17302) {G0,W7,D3,L2,V2,M2} { X = null_class, member( skol6( Y )
% 1.69/2.07 , universal_class ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 Y := Y
% 1.69/2.07 end
% 1.69/2.07 permutation0:
% 1.69/2.07 0 ==> 0
% 1.69/2.07 1 ==> 1
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 subsumption: (87) {G0,W7,D3,L2,V1,M2} I { X = null_class, member( skol6( X
% 1.69/2.07 ), X ) }.
% 1.69/2.07 parent0: (17303) {G0,W7,D3,L2,V1,M2} { X = null_class, member( skol6( X )
% 1.69/2.07 , X ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 end
% 1.69/2.07 permutation0:
% 1.69/2.07 0 ==> 0
% 1.69/2.07 1 ==> 1
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 subsumption: (92) {G0,W10,D4,L1,V0,M1} I { ! unordered_pair( singleton(
% 1.69/2.07 skol9 ), unordered_pair( skol9, null_class ) ) ==> ordered_pair( skol9,
% 1.69/2.07 skol8 ) }.
% 1.69/2.07 parent0: (17308) {G0,W10,D4,L1,V0,M1} { ! unordered_pair( singleton( skol9
% 1.69/2.07 ), unordered_pair( skol9, null_class ) ) = ordered_pair( skol9, skol8 )
% 1.69/2.07 }.
% 1.69/2.07 substitution0:
% 1.69/2.07 end
% 1.69/2.07 permutation0:
% 1.69/2.07 0 ==> 0
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 subsumption: (93) {G0,W3,D2,L1,V0,M1} I { ! member( skol8, universal_class
% 1.69/2.07 ) }.
% 1.69/2.07 parent0: (17309) {G0,W3,D2,L1,V0,M1} { ! member( skol8, universal_class )
% 1.69/2.07 }.
% 1.69/2.07 substitution0:
% 1.69/2.07 end
% 1.69/2.07 permutation0:
% 1.69/2.07 0 ==> 0
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 factor: (17742) {G0,W7,D2,L2,V2,M2} { ! alpha1( X, Y, Y ), X = Y }.
% 1.69/2.07 parent0[1, 2]: (9) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), X = Y, X =
% 1.69/2.07 Z }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 Y := Y
% 1.69/2.07 Z := Y
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 subsumption: (95) {G1,W7,D2,L2,V2,M2} F(9) { ! alpha1( X, Y, Y ), X = Y }.
% 1.69/2.07 parent0: (17742) {G0,W7,D2,L2,V2,M2} { ! alpha1( X, Y, Y ), X = Y }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 Y := Y
% 1.69/2.07 end
% 1.69/2.07 permutation0:
% 1.69/2.07 0 ==> 0
% 1.69/2.07 1 ==> 1
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 resolution: (17744) {G1,W6,D2,L2,V2,M2} { ! member( Y, X ), member( Y,
% 1.69/2.07 universal_class ) }.
% 1.69/2.07 parent0[0]: (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X
% 1.69/2.07 ), member( Z, Y ) }.
% 1.69/2.07 parent1[0]: (3) {G0,W3,D2,L1,V1,M1} I { subclass( X, universal_class ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 Y := universal_class
% 1.69/2.07 Z := Y
% 1.69/2.07 end
% 1.69/2.07 substitution1:
% 1.69/2.07 X := X
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 subsumption: (113) {G1,W6,D2,L2,V2,M2} R(0,3) { ! member( X, Y ), member( X
% 1.69/2.07 , universal_class ) }.
% 1.69/2.07 parent0: (17744) {G1,W6,D2,L2,V2,M2} { ! member( Y, X ), member( Y,
% 1.69/2.07 universal_class ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := Y
% 1.69/2.07 Y := X
% 1.69/2.07 end
% 1.69/2.07 permutation0:
% 1.69/2.07 0 ==> 0
% 1.69/2.07 1 ==> 1
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 resolution: (17745) {G1,W6,D2,L2,V1,M2} { ! subclass( X, universal_class )
% 1.69/2.07 , ! member( skol8, X ) }.
% 1.69/2.07 parent0[0]: (93) {G0,W3,D2,L1,V0,M1} I { ! member( skol8, universal_class )
% 1.69/2.07 }.
% 1.69/2.07 parent1[2]: (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X
% 1.69/2.07 ), member( Z, Y ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 end
% 1.69/2.07 substitution1:
% 1.69/2.07 X := X
% 1.69/2.07 Y := universal_class
% 1.69/2.07 Z := skol8
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 resolution: (17746) {G1,W3,D2,L1,V1,M1} { ! member( skol8, X ) }.
% 1.69/2.07 parent0[0]: (17745) {G1,W6,D2,L2,V1,M2} { ! subclass( X, universal_class )
% 1.69/2.07 , ! member( skol8, X ) }.
% 1.69/2.07 parent1[0]: (3) {G0,W3,D2,L1,V1,M1} I { subclass( X, universal_class ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 end
% 1.69/2.07 substitution1:
% 1.69/2.07 X := X
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 subsumption: (115) {G1,W3,D2,L1,V1,M1} R(93,0);r(3) { ! member( skol8, X )
% 1.69/2.07 }.
% 1.69/2.07 parent0: (17746) {G1,W3,D2,L1,V1,M1} { ! member( skol8, X ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 end
% 1.69/2.07 permutation0:
% 1.69/2.07 0 ==> 0
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 resolution: (17747) {G1,W3,D2,L1,V0,M1} { member( null_class, skol2 ) }.
% 1.69/2.07 parent0[0]: (58) {G0,W5,D2,L2,V1,M2} I { ! inductive( X ), member(
% 1.69/2.07 null_class, X ) }.
% 1.69/2.07 parent1[0]: (62) {G0,W2,D2,L1,V0,M1} I { inductive( skol2 ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := skol2
% 1.69/2.07 end
% 1.69/2.07 substitution1:
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 subsumption: (122) {G1,W3,D2,L1,V0,M1} R(58,62) { member( null_class, skol2
% 1.69/2.07 ) }.
% 1.69/2.07 parent0: (17747) {G1,W3,D2,L1,V0,M1} { member( null_class, skol2 ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 end
% 1.69/2.07 permutation0:
% 1.69/2.07 0 ==> 0
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 eqswap: (17748) {G0,W6,D2,L2,V2,M2} { ! Y = X, subclass( X, Y ) }.
% 1.69/2.07 parent0[0]: (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subclass( X, Y ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 Y := Y
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 eqswap: (17749) {G0,W6,D2,L2,V2,M2} { ! Y = X, subclass( X, Y ) }.
% 1.69/2.07 parent0[0]: (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subclass( X, Y ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 Y := Y
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 resolution: (17750) {G1,W9,D2,L3,V2,M3} { ! subclass( Y, X ), X = Y, ! Y =
% 1.69/2.07 X }.
% 1.69/2.07 parent0[0]: (5) {G0,W9,D2,L3,V2,M3} I { ! subclass( X, Y ), ! subclass( Y,
% 1.69/2.07 X ), X = Y }.
% 1.69/2.07 parent1[1]: (17748) {G0,W6,D2,L2,V2,M2} { ! Y = X, subclass( X, Y ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := X
% 1.69/2.07 Y := Y
% 1.69/2.07 end
% 1.69/2.07 substitution1:
% 1.69/2.07 X := X
% 1.69/2.07 Y := Y
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 resolution: (17752) {G1,W9,D2,L3,V2,M3} { Y = X, ! X = Y, ! Y = X }.
% 1.69/2.07 parent0[0]: (17750) {G1,W9,D2,L3,V2,M3} { ! subclass( Y, X ), X = Y, ! Y =
% 1.69/2.07 X }.
% 1.69/2.07 parent1[1]: (17749) {G0,W6,D2,L2,V2,M2} { ! Y = X, subclass( X, Y ) }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := Y
% 1.69/2.07 Y := X
% 1.69/2.07 end
% 1.69/2.07 substitution1:
% 1.69/2.07 X := X
% 1.69/2.07 Y := Y
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 eqswap: (17754) {G1,W9,D2,L3,V2,M3} { ! Y = X, X = Y, ! Y = X }.
% 1.69/2.07 parent0[2]: (17752) {G1,W9,D2,L3,V2,M3} { Y = X, ! X = Y, ! Y = X }.
% 1.69/2.07 substitution0:
% 1.69/2.07 X := Y
% 1.69/2.07 Y := X
% 1.69/2.07 end
% 1.69/2.07
% 1.69/2.07 factor: (17756) {G1,W6,D2,L2,V2,M2} { ! X = Y, Y = X }.
% 1.69/2.07 parent0[0, 2]: (17754) {G1,W9,D2,L3,V2,M3} { ! Y = X,Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------