TSTP Solution File: SET117+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET117+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 22:47:19 EDT 2022
% Result : Theorem 1.01s 1.42s
% Output : Refutation 1.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SET117+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.14 % Command : bliksem %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun Jul 10 05:33:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.33/1.00 *** allocated 10000 integers for termspace/termends
% 0.33/1.00 *** allocated 10000 integers for clauses
% 0.33/1.00 *** allocated 10000 integers for justifications
% 0.33/1.00 Bliksem 1.12
% 0.33/1.00
% 0.33/1.00
% 0.33/1.00 Automatic Strategy Selection
% 0.33/1.00
% 0.33/1.00
% 0.33/1.00 Clauses:
% 0.33/1.00
% 0.33/1.00 { ! subclass( X, Y ), ! member( Z, X ), member( Z, Y ) }.
% 0.33/1.00 { ! member( skol1( Z, Y ), Y ), subclass( X, Y ) }.
% 0.33/1.00 { member( skol1( X, Y ), X ), subclass( X, Y ) }.
% 0.33/1.00 { subclass( X, universal_class ) }.
% 0.33/1.00 { ! X = Y, subclass( X, Y ) }.
% 0.33/1.00 { ! X = Y, subclass( Y, X ) }.
% 0.33/1.00 { ! subclass( X, Y ), ! subclass( Y, X ), X = Y }.
% 0.33/1.00 { ! member( X, unordered_pair( Y, Z ) ), member( X, universal_class ) }.
% 0.33/1.00 { ! member( X, unordered_pair( Y, Z ) ), alpha1( X, Y, Z ) }.
% 0.33/1.00 { ! member( X, universal_class ), ! alpha1( X, Y, Z ), member( X,
% 0.33/1.00 unordered_pair( Y, Z ) ) }.
% 0.33/1.00 { ! alpha1( X, Y, Z ), X = Y, X = Z }.
% 0.33/1.00 { ! X = Y, alpha1( X, Y, Z ) }.
% 0.33/1.00 { ! X = Z, alpha1( X, Y, Z ) }.
% 0.33/1.00 { member( unordered_pair( X, Y ), universal_class ) }.
% 0.33/1.00 { singleton( X ) = unordered_pair( X, X ) }.
% 0.33/1.00 { ordered_pair( X, Y ) = unordered_pair( singleton( X ), unordered_pair( X
% 0.33/1.00 , singleton( Y ) ) ) }.
% 0.33/1.00 { ! member( ordered_pair( X, Y ), cross_product( Z, T ) ), member( X, Z ) }
% 0.33/1.00 .
% 0.33/1.00 { ! member( ordered_pair( X, Y ), cross_product( Z, T ) ), member( Y, T ) }
% 0.33/1.00 .
% 0.33/1.00 { ! member( X, Z ), ! member( Y, T ), member( ordered_pair( X, Y ),
% 0.33/1.00 cross_product( Z, T ) ) }.
% 0.33/1.00 { ! member( X, universal_class ), ! member( Y, universal_class ), first(
% 0.33/1.00 ordered_pair( X, Y ) ) = X }.
% 0.33/1.00 { ! member( X, universal_class ), ! member( Y, universal_class ), second(
% 0.33/1.00 ordered_pair( X, Y ) ) = Y }.
% 0.33/1.00 { ! member( X, cross_product( Y, Z ) ), X = ordered_pair( first( X ),
% 0.33/1.00 second( X ) ) }.
% 0.33/1.00 { ! member( ordered_pair( X, Y ), element_relation ), member( Y,
% 0.33/1.00 universal_class ) }.
% 0.33/1.00 { ! member( ordered_pair( X, Y ), element_relation ), member( X, Y ) }.
% 0.33/1.00 { ! member( Y, universal_class ), ! member( X, Y ), member( ordered_pair( X
% 0.33/1.00 , Y ), element_relation ) }.
% 0.33/1.00 { subclass( element_relation, cross_product( universal_class,
% 0.33/1.00 universal_class ) ) }.
% 0.33/1.00 { ! member( Z, intersection( X, Y ) ), member( Z, X ) }.
% 0.33/1.00 { ! member( Z, intersection( X, Y ) ), member( Z, Y ) }.
% 0.33/1.00 { ! member( Z, X ), ! member( Z, Y ), member( Z, intersection( X, Y ) ) }.
% 0.33/1.00 { ! member( Y, complement( X ) ), member( Y, universal_class ) }.
% 0.33/1.00 { ! member( Y, complement( X ) ), ! member( Y, X ) }.
% 0.33/1.00 { ! member( Y, universal_class ), member( Y, X ), member( Y, complement( X
% 0.33/1.00 ) ) }.
% 0.33/1.00 { restrict( Y, X, Z ) = intersection( Y, cross_product( X, Z ) ) }.
% 0.33/1.00 { ! member( X, null_class ) }.
% 0.33/1.00 { ! member( Y, domain_of( X ) ), member( Y, universal_class ) }.
% 0.33/1.00 { ! member( Y, domain_of( X ) ), ! restrict( X, singleton( Y ),
% 0.33/1.00 universal_class ) = null_class }.
% 0.33/1.00 { ! member( Y, universal_class ), restrict( X, singleton( Y ),
% 0.33/1.00 universal_class ) = null_class, member( Y, domain_of( X ) ) }.
% 0.33/1.00 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ), member
% 0.33/1.00 ( ordered_pair( ordered_pair( Y, Z ), T ), cross_product( cross_product(
% 0.33/1.00 universal_class, universal_class ), universal_class ) ) }.
% 0.33/1.00 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ), member
% 0.33/1.00 ( ordered_pair( ordered_pair( Z, T ), Y ), X ) }.
% 0.33/1.00 { ! member( ordered_pair( ordered_pair( Y, Z ), T ), cross_product(
% 0.33/1.00 cross_product( universal_class, universal_class ), universal_class ) ), !
% 0.33/1.00 member( ordered_pair( ordered_pair( Z, T ), Y ), X ), member(
% 0.33/1.00 ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ) }.
% 0.33/1.00 { subclass( rotate( X ), cross_product( cross_product( universal_class,
% 0.33/1.00 universal_class ), universal_class ) ) }.
% 0.33/1.00 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ), member(
% 0.33/1.00 ordered_pair( ordered_pair( X, Y ), Z ), cross_product( cross_product(
% 0.33/1.00 universal_class, universal_class ), universal_class ) ) }.
% 0.33/1.00 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ), member(
% 0.33/1.00 ordered_pair( ordered_pair( Y, X ), Z ), T ) }.
% 0.33/1.00 { ! member( ordered_pair( ordered_pair( X, Y ), Z ), cross_product(
% 0.33/1.00 cross_product( universal_class, universal_class ), universal_class ) ), !
% 0.33/1.00 member( ordered_pair( ordered_pair( Y, X ), Z ), T ), member(
% 0.33/1.00 ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ) }.
% 0.33/1.00 { subclass( flip( X ), cross_product( cross_product( universal_class,
% 0.74/1.17 universal_class ), universal_class ) ) }.
% 0.74/1.17 { ! member( Z, union( X, Y ) ), member( Z, X ), member( Z, Y ) }.
% 0.74/1.17 { ! member( Z, X ), member( Z, union( X, Y ) ) }.
% 0.74/1.17 { ! member( Z, Y ), member( Z, union( X, Y ) ) }.
% 0.74/1.17 { successor( X ) = union( X, singleton( X ) ) }.
% 0.74/1.17 { subclass( successor_relation, cross_product( universal_class,
% 0.74/1.17 universal_class ) ) }.
% 0.74/1.17 { ! member( ordered_pair( X, Y ), successor_relation ), member( X,
% 0.74/1.17 universal_class ) }.
% 0.74/1.17 { ! member( ordered_pair( X, Y ), successor_relation ), alpha2( X, Y ) }.
% 0.74/1.17 { ! member( X, universal_class ), ! alpha2( X, Y ), member( ordered_pair( X
% 0.74/1.17 , Y ), successor_relation ) }.
% 0.74/1.17 { ! alpha2( X, Y ), member( Y, universal_class ) }.
% 0.74/1.17 { ! alpha2( X, Y ), successor( X ) = Y }.
% 0.74/1.17 { ! member( Y, universal_class ), ! successor( X ) = Y, alpha2( X, Y ) }.
% 0.74/1.17 { inverse( X ) = domain_of( flip( cross_product( X, universal_class ) ) ) }
% 0.74/1.17 .
% 0.74/1.17 { range_of( X ) = domain_of( inverse( X ) ) }.
% 0.74/1.17 { image( Y, X ) = range_of( restrict( Y, X, universal_class ) ) }.
% 0.74/1.17 { ! inductive( X ), member( null_class, X ) }.
% 0.74/1.17 { ! inductive( X ), subclass( image( successor_relation, X ), X ) }.
% 0.74/1.17 { ! member( null_class, X ), ! subclass( image( successor_relation, X ), X
% 0.74/1.17 ), inductive( X ) }.
% 0.74/1.17 { member( skol2, universal_class ) }.
% 0.74/1.17 { inductive( skol2 ) }.
% 0.74/1.17 { ! inductive( X ), subclass( skol2, X ) }.
% 0.74/1.17 { ! member( X, sum_class( Y ) ), member( skol3( Z, Y ), Y ) }.
% 0.74/1.17 { ! member( X, sum_class( Y ) ), member( X, skol3( X, Y ) ) }.
% 0.74/1.17 { ! member( X, Z ), ! member( Z, Y ), member( X, sum_class( Y ) ) }.
% 0.74/1.17 { ! member( X, universal_class ), member( sum_class( X ), universal_class )
% 0.74/1.17 }.
% 0.74/1.17 { ! member( X, power_class( Y ) ), member( X, universal_class ) }.
% 0.74/1.17 { ! member( X, power_class( Y ) ), subclass( X, Y ) }.
% 0.74/1.17 { ! member( X, universal_class ), ! subclass( X, Y ), member( X,
% 0.74/1.17 power_class( Y ) ) }.
% 0.74/1.17 { ! member( X, universal_class ), member( power_class( X ), universal_class
% 0.74/1.17 ) }.
% 0.74/1.17 { subclass( compose( Y, X ), cross_product( universal_class,
% 0.74/1.17 universal_class ) ) }.
% 0.74/1.17 { ! member( ordered_pair( Z, T ), compose( Y, X ) ), member( Z,
% 0.74/1.17 universal_class ) }.
% 0.74/1.17 { ! member( ordered_pair( Z, T ), compose( Y, X ) ), member( T, image( Y,
% 0.74/1.17 image( X, singleton( Z ) ) ) ) }.
% 0.74/1.17 { ! member( Z, universal_class ), ! member( T, image( Y, image( X,
% 0.74/1.17 singleton( Z ) ) ) ), member( ordered_pair( Z, T ), compose( Y, X ) ) }.
% 0.74/1.17 { ! member( X, identity_relation ), member( skol4( Y ), universal_class ) }
% 0.74/1.17 .
% 0.74/1.17 { ! member( X, identity_relation ), X = ordered_pair( skol4( X ), skol4( X
% 0.74/1.17 ) ) }.
% 0.74/1.17 { ! member( Y, universal_class ), ! X = ordered_pair( Y, Y ), member( X,
% 0.74/1.17 identity_relation ) }.
% 0.74/1.17 { ! function( X ), subclass( X, cross_product( universal_class,
% 0.74/1.17 universal_class ) ) }.
% 0.74/1.17 { ! function( X ), subclass( compose( X, inverse( X ) ), identity_relation
% 0.74/1.17 ) }.
% 0.74/1.17 { ! subclass( X, cross_product( universal_class, universal_class ) ), !
% 0.74/1.17 subclass( compose( X, inverse( X ) ), identity_relation ), function( X )
% 0.74/1.17 }.
% 0.74/1.17 { ! member( X, universal_class ), ! function( Y ), member( image( Y, X ),
% 0.74/1.17 universal_class ) }.
% 0.74/1.17 { ! disjoint( X, Y ), ! member( Z, X ), ! member( Z, Y ) }.
% 0.74/1.18 { member( skol5( Z, Y ), Y ), disjoint( X, Y ) }.
% 0.74/1.18 { member( skol5( X, Y ), X ), disjoint( X, Y ) }.
% 0.74/1.18 { X = null_class, member( skol6( Y ), universal_class ) }.
% 0.74/1.18 { X = null_class, member( skol6( X ), X ) }.
% 0.74/1.18 { X = null_class, disjoint( skol6( X ), X ) }.
% 0.74/1.18 { apply( X, Y ) = sum_class( image( X, singleton( Y ) ) ) }.
% 0.74/1.18 { function( skol7 ) }.
% 0.74/1.18 { ! member( X, universal_class ), X = null_class, member( apply( skol7, X )
% 0.74/1.18 , X ) }.
% 0.74/1.18 { ordered_pair( first( skol8 ), second( skol8 ) ) = skol8 }.
% 0.74/1.18 { ! member( skol8, universal_class ) }.
% 0.74/1.18
% 0.74/1.18 percentage equality = 0.149485, percentage horn = 0.884211
% 0.74/1.18 This is a problem with some equality
% 0.74/1.18
% 0.74/1.18
% 0.74/1.18
% 0.74/1.18 Options Used:
% 0.74/1.18
% 0.74/1.18 useres = 1
% 0.74/1.18 useparamod = 1
% 0.74/1.18 useeqrefl = 1
% 0.74/1.18 useeqfact = 1
% 0.74/1.18 usefactor = 1
% 0.74/1.18 usesimpsplitting = 0
% 0.74/1.18 usesimpdemod = 5
% 0.74/1.18 usesimpres = 3
% 0.74/1.18
% 0.74/1.18 resimpinuse = 1000
% 0.74/1.18 resimpclauses = 20000
% 0.74/1.18 substype = eqrewr
% 0.74/1.18 backwardsubs = 1
% 0.74/1.18 selectoldest = 5
% 0.74/1.18
% 0.74/1.18 litorderings [0] = split
% 0.74/1.18 litorderings [1] = extend the termordering, first sorting on arguments
% 1.01/1.42
% 1.01/1.42 termordering = kbo
% 1.01/1.42
% 1.01/1.42 litapriori = 0
% 1.01/1.42 termapriori = 1
% 1.01/1.42 litaposteriori = 0
% 1.01/1.42 termaposteriori = 0
% 1.01/1.42 demodaposteriori = 0
% 1.01/1.42 ordereqreflfact = 0
% 1.01/1.42
% 1.01/1.42 litselect = negord
% 1.01/1.42
% 1.01/1.42 maxweight = 15
% 1.01/1.42 maxdepth = 30000
% 1.01/1.42 maxlength = 115
% 1.01/1.42 maxnrvars = 195
% 1.01/1.42 excuselevel = 1
% 1.01/1.42 increasemaxweight = 1
% 1.01/1.42
% 1.01/1.42 maxselected = 10000000
% 1.01/1.42 maxnrclauses = 10000000
% 1.01/1.42
% 1.01/1.42 showgenerated = 0
% 1.01/1.42 showkept = 0
% 1.01/1.42 showselected = 0
% 1.01/1.42 showdeleted = 0
% 1.01/1.42 showresimp = 1
% 1.01/1.42 showstatus = 2000
% 1.01/1.42
% 1.01/1.42 prologoutput = 0
% 1.01/1.42 nrgoals = 5000000
% 1.01/1.42 totalproof = 1
% 1.01/1.42
% 1.01/1.42 Symbols occurring in the translation:
% 1.01/1.42
% 1.01/1.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.01/1.42 . [1, 2] (w:1, o:44, a:1, s:1, b:0),
% 1.01/1.42 ! [4, 1] (w:0, o:23, a:1, s:1, b:0),
% 1.01/1.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.42 subclass [37, 2] (w:1, o:68, a:1, s:1, b:0),
% 1.01/1.42 member [39, 2] (w:1, o:69, a:1, s:1, b:0),
% 1.01/1.42 universal_class [40, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.01/1.42 unordered_pair [41, 2] (w:1, o:70, a:1, s:1, b:0),
% 1.01/1.42 singleton [42, 1] (w:1, o:30, a:1, s:1, b:0),
% 1.01/1.42 ordered_pair [43, 2] (w:1, o:71, a:1, s:1, b:0),
% 1.01/1.42 cross_product [45, 2] (w:1, o:72, a:1, s:1, b:0),
% 1.01/1.42 first [46, 1] (w:1, o:31, a:1, s:1, b:0),
% 1.01/1.42 second [47, 1] (w:1, o:32, a:1, s:1, b:0),
% 1.01/1.42 element_relation [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.01/1.42 intersection [50, 2] (w:1, o:74, a:1, s:1, b:0),
% 1.01/1.42 complement [51, 1] (w:1, o:33, a:1, s:1, b:0),
% 1.01/1.42 restrict [53, 3] (w:1, o:83, a:1, s:1, b:0),
% 1.01/1.42 null_class [54, 0] (w:1, o:17, a:1, s:1, b:0),
% 1.01/1.42 domain_of [55, 1] (w:1, o:34, a:1, s:1, b:0),
% 1.01/1.42 rotate [57, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.01/1.42 flip [58, 1] (w:1, o:35, a:1, s:1, b:0),
% 1.01/1.42 union [59, 2] (w:1, o:75, a:1, s:1, b:0),
% 1.01/1.42 successor [60, 1] (w:1, o:36, a:1, s:1, b:0),
% 1.01/1.42 successor_relation [61, 0] (w:1, o:18, a:1, s:1, b:0),
% 1.01/1.42 inverse [62, 1] (w:1, o:37, a:1, s:1, b:0),
% 1.01/1.42 range_of [63, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.01/1.42 image [64, 2] (w:1, o:73, a:1, s:1, b:0),
% 1.01/1.42 inductive [65, 1] (w:1, o:38, a:1, s:1, b:0),
% 1.01/1.42 sum_class [66, 1] (w:1, o:39, a:1, s:1, b:0),
% 1.01/1.42 power_class [67, 1] (w:1, o:40, a:1, s:1, b:0),
% 1.01/1.42 compose [69, 2] (w:1, o:76, a:1, s:1, b:0),
% 1.01/1.42 identity_relation [70, 0] (w:1, o:19, a:1, s:1, b:0),
% 1.01/1.42 function [72, 1] (w:1, o:41, a:1, s:1, b:0),
% 1.01/1.42 disjoint [73, 2] (w:1, o:77, a:1, s:1, b:0),
% 1.01/1.42 apply [74, 2] (w:1, o:78, a:1, s:1, b:0),
% 1.01/1.42 alpha1 [75, 3] (w:1, o:84, a:1, s:1, b:1),
% 1.01/1.42 alpha2 [76, 2] (w:1, o:79, a:1, s:1, b:1),
% 1.01/1.42 skol1 [77, 2] (w:1, o:80, a:1, s:1, b:1),
% 1.01/1.42 skol2 [78, 0] (w:1, o:20, a:1, s:1, b:1),
% 1.01/1.42 skol3 [79, 2] (w:1, o:81, a:1, s:1, b:1),
% 1.01/1.42 skol4 [80, 1] (w:1, o:42, a:1, s:1, b:1),
% 1.01/1.42 skol5 [81, 2] (w:1, o:82, a:1, s:1, b:1),
% 1.01/1.42 skol6 [82, 1] (w:1, o:43, a:1, s:1, b:1),
% 1.01/1.42 skol7 [83, 0] (w:1, o:21, a:1, s:1, b:1),
% 1.01/1.42 skol8 [84, 0] (w:1, o:22, a:1, s:1, b:1).
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42 Starting Search:
% 1.01/1.42
% 1.01/1.42 *** allocated 15000 integers for clauses
% 1.01/1.42 *** allocated 22500 integers for clauses
% 1.01/1.42 *** allocated 33750 integers for clauses
% 1.01/1.42 *** allocated 50625 integers for clauses
% 1.01/1.42 *** allocated 15000 integers for termspace/termends
% 1.01/1.42 *** allocated 22500 integers for termspace/termends
% 1.01/1.42 Resimplifying inuse:
% 1.01/1.42 Done
% 1.01/1.42
% 1.01/1.42 *** allocated 75937 integers for clauses
% 1.01/1.42 *** allocated 33750 integers for termspace/termends
% 1.01/1.42 *** allocated 113905 integers for clauses
% 1.01/1.42
% 1.01/1.42 Intermediate Status:
% 1.01/1.42 Generated: 4269
% 1.01/1.42 Kept: 2017
% 1.01/1.42 Inuse: 134
% 1.01/1.42 Deleted: 6
% 1.01/1.42 Deletedinuse: 4
% 1.01/1.42
% 1.01/1.42 Resimplifying inuse:
% 1.01/1.42 Done
% 1.01/1.42
% 1.01/1.42 *** allocated 170857 integers for clauses
% 1.01/1.42 *** allocated 50625 integers for termspace/termends
% 1.01/1.42 Resimplifying inuse:
% 1.01/1.42 Done
% 1.01/1.42
% 1.01/1.42 *** allocated 75937 integers for termspace/termends
% 1.01/1.42 *** allocated 256285 integers for clauses
% 1.01/1.42
% 1.01/1.42 Intermediate Status:
% 1.01/1.42 Generated: 9757
% 1.01/1.42 Kept: 4041
% 1.01/1.42 Inuse: 214
% 1.01/1.42 Deleted: 14
% 1.01/1.42 Deletedinuse: 8
% 1.01/1.42
% 1.01/1.42 Resimplifying inuse:
% 1.01/1.42 Done
% 1.01/1.42
% 1.01/1.42 Resimplifying inuse:
% 1.01/1.42 Done
% 1.01/1.42
% 1.01/1.42 *** allocated 113905 integers for termspace/termends
% 1.01/1.42 *** allocated 384427 integers for clauses
% 1.01/1.42
% 1.01/1.42 Intermediate Status:
% 1.01/1.42 Generated: 13567
% 1.01/1.42 Kept: 6067
% 1.01/1.42 Inuse: 277
% 1.01/1.42 Deleted: 56
% 1.01/1.42 Deletedinuse: 45
% 1.01/1.42
% 1.01/1.42 Resimplifying inuse:
% 1.01/1.42 Done
% 1.01/1.42
% 1.01/1.42 Resimplifying inuse:
% 1.01/1.42 Done
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42 Intermediate Status:
% 1.01/1.42 Generated: 17262
% 1.01/1.42 Kept: 8071
% 1.01/1.42 Inuse: 345
% 1.01/1.42 Deleted: 66
% 1.01/1.42 Deletedinuse: 52
% 1.01/1.42
% 1.01/1.42 Resimplifying inuse:
% 1.01/1.42 Done
% 1.01/1.42
% 1.01/1.42 *** allocated 576640 integers for clauses
% 1.01/1.42 *** allocated 170857 integers for termspace/termends
% 1.01/1.42 Resimplifying inuse:
% 1.01/1.42 Done
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42 Bliksems!, er is een bewijs:
% 1.01/1.42 % SZS status Theorem
% 1.01/1.42 % SZS output start Refutation
% 1.01/1.42
% 1.01/1.42 (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X ), member( Z
% 1.01/1.42 , Y ) }.
% 1.01/1.42 (3) {G0,W3,D2,L1,V1,M1} I { subclass( X, universal_class ) }.
% 1.01/1.42 (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subclass( X, Y ) }.
% 1.01/1.42 (5) {G0,W9,D2,L3,V2,M3} I { ! subclass( X, Y ), ! subclass( Y, X ), X = Y
% 1.01/1.42 }.
% 1.01/1.42 (12) {G0,W5,D3,L1,V2,M1} I { member( unordered_pair( X, Y ),
% 1.01/1.42 universal_class ) }.
% 1.01/1.42 (14) {G0,W11,D5,L1,V2,M1} I { unordered_pair( singleton( X ),
% 1.01/1.42 unordered_pair( X, singleton( Y ) ) ) ==> ordered_pair( X, Y ) }.
% 1.01/1.42 (92) {G0,W7,D4,L1,V0,M1} I { ordered_pair( first( skol8 ), second( skol8 )
% 1.01/1.42 ) ==> skol8 }.
% 1.01/1.42 (93) {G0,W3,D2,L1,V0,M1} I { ! member( skol8, universal_class ) }.
% 1.01/1.42 (115) {G1,W3,D2,L1,V1,M1} R(93,0);r(3) { ! member( skol8, X ) }.
% 1.01/1.42 (143) {G1,W6,D2,L2,V2,M2} R(5,4);r(4) { X = Y, ! Y = X }.
% 1.01/1.42 (227) {G2,W6,D2,L2,V2,M2} P(143,115) { ! member( X, Y ), ! X = skol8 }.
% 1.01/1.42 (254) {G3,W5,D3,L1,V2,M1} R(227,12) { ! unordered_pair( X, Y ) ==> skol8
% 1.01/1.42 }.
% 1.01/1.42 (645) {G4,W5,D3,L1,V2,M1} P(14,254) { ! ordered_pair( X, Y ) ==> skol8 }.
% 1.01/1.42 (10053) {G5,W0,D0,L0,V0,M0} S(92);r(645) { }.
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42 % SZS output end Refutation
% 1.01/1.42 found a proof!
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42 Unprocessed initial clauses:
% 1.01/1.42
% 1.01/1.42 (10055) {G0,W9,D2,L3,V3,M3} { ! subclass( X, Y ), ! member( Z, X ), member
% 1.01/1.42 ( Z, Y ) }.
% 1.01/1.42 (10056) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ), subclass( X, Y
% 1.01/1.42 ) }.
% 1.01/1.42 (10057) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subclass( X, Y )
% 1.01/1.42 }.
% 1.01/1.42 (10058) {G0,W3,D2,L1,V1,M1} { subclass( X, universal_class ) }.
% 1.01/1.42 (10059) {G0,W6,D2,L2,V2,M2} { ! X = Y, subclass( X, Y ) }.
% 1.01/1.42 (10060) {G0,W6,D2,L2,V2,M2} { ! X = Y, subclass( Y, X ) }.
% 1.01/1.42 (10061) {G0,W9,D2,L3,V2,M3} { ! subclass( X, Y ), ! subclass( Y, X ), X =
% 1.01/1.42 Y }.
% 1.01/1.42 (10062) {G0,W8,D3,L2,V3,M2} { ! member( X, unordered_pair( Y, Z ) ),
% 1.01/1.42 member( X, universal_class ) }.
% 1.01/1.42 (10063) {G0,W9,D3,L2,V3,M2} { ! member( X, unordered_pair( Y, Z ) ),
% 1.01/1.42 alpha1( X, Y, Z ) }.
% 1.01/1.42 (10064) {G0,W12,D3,L3,V3,M3} { ! member( X, universal_class ), ! alpha1( X
% 1.01/1.42 , Y, Z ), member( X, unordered_pair( Y, Z ) ) }.
% 1.01/1.42 (10065) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), X = Y, X = Z }.
% 1.01/1.42 (10066) {G0,W7,D2,L2,V3,M2} { ! X = Y, alpha1( X, Y, Z ) }.
% 1.01/1.42 (10067) {G0,W7,D2,L2,V3,M2} { ! X = Z, alpha1( X, Y, Z ) }.
% 1.01/1.42 (10068) {G0,W5,D3,L1,V2,M1} { member( unordered_pair( X, Y ),
% 1.01/1.42 universal_class ) }.
% 1.01/1.42 (10069) {G0,W6,D3,L1,V1,M1} { singleton( X ) = unordered_pair( X, X ) }.
% 1.01/1.42 (10070) {G0,W11,D5,L1,V2,M1} { ordered_pair( X, Y ) = unordered_pair(
% 1.01/1.42 singleton( X ), unordered_pair( X, singleton( Y ) ) ) }.
% 1.01/1.42 (10071) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( X, Y ),
% 1.01/1.42 cross_product( Z, T ) ), member( X, Z ) }.
% 1.01/1.42 (10072) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( X, Y ),
% 1.01/1.42 cross_product( Z, T ) ), member( Y, T ) }.
% 1.01/1.42 (10073) {G0,W13,D3,L3,V4,M3} { ! member( X, Z ), ! member( Y, T ), member
% 1.01/1.42 ( ordered_pair( X, Y ), cross_product( Z, T ) ) }.
% 1.01/1.42 (10074) {G0,W12,D4,L3,V2,M3} { ! member( X, universal_class ), ! member( Y
% 1.01/1.42 , universal_class ), first( ordered_pair( X, Y ) ) = X }.
% 1.01/1.42 (10075) {G0,W12,D4,L3,V2,M3} { ! member( X, universal_class ), ! member( Y
% 1.01/1.42 , universal_class ), second( ordered_pair( X, Y ) ) = Y }.
% 1.01/1.42 (10076) {G0,W12,D4,L2,V3,M2} { ! member( X, cross_product( Y, Z ) ), X =
% 1.01/1.42 ordered_pair( first( X ), second( X ) ) }.
% 1.01/1.42 (10077) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 1.01/1.42 element_relation ), member( Y, universal_class ) }.
% 1.01/1.42 (10078) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 1.01/1.42 element_relation ), member( X, Y ) }.
% 1.01/1.42 (10079) {G0,W11,D3,L3,V2,M3} { ! member( Y, universal_class ), ! member( X
% 1.01/1.42 , Y ), member( ordered_pair( X, Y ), element_relation ) }.
% 1.01/1.42 (10080) {G0,W5,D3,L1,V0,M1} { subclass( element_relation, cross_product(
% 1.01/1.42 universal_class, universal_class ) ) }.
% 1.01/1.42 (10081) {G0,W8,D3,L2,V3,M2} { ! member( Z, intersection( X, Y ) ), member
% 1.01/1.42 ( Z, X ) }.
% 1.01/1.42 (10082) {G0,W8,D3,L2,V3,M2} { ! member( Z, intersection( X, Y ) ), member
% 1.01/1.42 ( Z, Y ) }.
% 1.01/1.42 (10083) {G0,W11,D3,L3,V3,M3} { ! member( Z, X ), ! member( Z, Y ), member
% 1.01/1.42 ( Z, intersection( X, Y ) ) }.
% 1.01/1.42 (10084) {G0,W7,D3,L2,V2,M2} { ! member( Y, complement( X ) ), member( Y,
% 1.01/1.42 universal_class ) }.
% 1.01/1.42 (10085) {G0,W7,D3,L2,V2,M2} { ! member( Y, complement( X ) ), ! member( Y
% 1.01/1.42 , X ) }.
% 1.01/1.42 (10086) {G0,W10,D3,L3,V2,M3} { ! member( Y, universal_class ), member( Y,
% 1.01/1.42 X ), member( Y, complement( X ) ) }.
% 1.01/1.42 (10087) {G0,W10,D4,L1,V3,M1} { restrict( Y, X, Z ) = intersection( Y,
% 1.01/1.42 cross_product( X, Z ) ) }.
% 1.01/1.42 (10088) {G0,W3,D2,L1,V1,M1} { ! member( X, null_class ) }.
% 1.01/1.42 (10089) {G0,W7,D3,L2,V2,M2} { ! member( Y, domain_of( X ) ), member( Y,
% 1.01/1.42 universal_class ) }.
% 1.01/1.42 (10090) {G0,W11,D4,L2,V2,M2} { ! member( Y, domain_of( X ) ), ! restrict(
% 1.01/1.42 X, singleton( Y ), universal_class ) = null_class }.
% 1.01/1.42 (10091) {G0,W14,D4,L3,V2,M3} { ! member( Y, universal_class ), restrict( X
% 1.01/1.42 , singleton( Y ), universal_class ) = null_class, member( Y, domain_of( X
% 1.01/1.42 ) ) }.
% 1.01/1.42 (10092) {G0,W19,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( Y, Z
% 1.01/1.42 ), T ), rotate( X ) ), member( ordered_pair( ordered_pair( Y, Z ), T ),
% 1.01/1.42 cross_product( cross_product( universal_class, universal_class ),
% 1.01/1.42 universal_class ) ) }.
% 1.01/1.42 (10093) {G0,W15,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( Y, Z
% 1.01/1.42 ), T ), rotate( X ) ), member( ordered_pair( ordered_pair( Z, T ), Y ),
% 1.01/1.42 X ) }.
% 1.01/1.42 (10094) {G0,W26,D4,L3,V4,M3} { ! member( ordered_pair( ordered_pair( Y, Z
% 1.01/1.42 ), T ), cross_product( cross_product( universal_class, universal_class )
% 1.01/1.42 , universal_class ) ), ! member( ordered_pair( ordered_pair( Z, T ), Y )
% 1.01/1.42 , X ), member( ordered_pair( ordered_pair( Y, Z ), T ), rotate( X ) ) }.
% 1.01/1.42 (10095) {G0,W8,D4,L1,V1,M1} { subclass( rotate( X ), cross_product(
% 1.01/1.42 cross_product( universal_class, universal_class ), universal_class ) )
% 1.01/1.42 }.
% 1.01/1.42 (10096) {G0,W19,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( X, Y
% 1.01/1.42 ), Z ), flip( T ) ), member( ordered_pair( ordered_pair( X, Y ), Z ),
% 1.01/1.42 cross_product( cross_product( universal_class, universal_class ),
% 1.01/1.42 universal_class ) ) }.
% 1.01/1.42 (10097) {G0,W15,D4,L2,V4,M2} { ! member( ordered_pair( ordered_pair( X, Y
% 1.01/1.42 ), Z ), flip( T ) ), member( ordered_pair( ordered_pair( Y, X ), Z ), T
% 1.01/1.42 ) }.
% 1.01/1.42 (10098) {G0,W26,D4,L3,V4,M3} { ! member( ordered_pair( ordered_pair( X, Y
% 1.01/1.42 ), Z ), cross_product( cross_product( universal_class, universal_class )
% 1.01/1.42 , universal_class ) ), ! member( ordered_pair( ordered_pair( Y, X ), Z )
% 1.01/1.42 , T ), member( ordered_pair( ordered_pair( X, Y ), Z ), flip( T ) ) }.
% 1.01/1.42 (10099) {G0,W8,D4,L1,V1,M1} { subclass( flip( X ), cross_product(
% 1.01/1.42 cross_product( universal_class, universal_class ), universal_class ) )
% 1.01/1.42 }.
% 1.01/1.42 (10100) {G0,W11,D3,L3,V3,M3} { ! member( Z, union( X, Y ) ), member( Z, X
% 1.01/1.42 ), member( Z, Y ) }.
% 1.01/1.42 (10101) {G0,W8,D3,L2,V3,M2} { ! member( Z, X ), member( Z, union( X, Y ) )
% 1.01/1.42 }.
% 1.01/1.42 (10102) {G0,W8,D3,L2,V3,M2} { ! member( Z, Y ), member( Z, union( X, Y ) )
% 1.01/1.42 }.
% 1.01/1.42 (10103) {G0,W7,D4,L1,V1,M1} { successor( X ) = union( X, singleton( X ) )
% 1.01/1.42 }.
% 1.01/1.42 (10104) {G0,W5,D3,L1,V0,M1} { subclass( successor_relation, cross_product
% 1.01/1.42 ( universal_class, universal_class ) ) }.
% 1.01/1.42 (10105) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 1.01/1.42 successor_relation ), member( X, universal_class ) }.
% 1.01/1.42 (10106) {G0,W8,D3,L2,V2,M2} { ! member( ordered_pair( X, Y ),
% 1.01/1.42 successor_relation ), alpha2( X, Y ) }.
% 1.01/1.42 (10107) {G0,W11,D3,L3,V2,M3} { ! member( X, universal_class ), ! alpha2( X
% 1.01/1.42 , Y ), member( ordered_pair( X, Y ), successor_relation ) }.
% 1.01/1.42 (10108) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), member( Y, universal_class
% 1.01/1.42 ) }.
% 1.01/1.42 (10109) {G0,W7,D3,L2,V2,M2} { ! alpha2( X, Y ), successor( X ) = Y }.
% 1.01/1.42 (10110) {G0,W10,D3,L3,V2,M3} { ! member( Y, universal_class ), ! successor
% 1.01/1.42 ( X ) = Y, alpha2( X, Y ) }.
% 1.01/1.42 (10111) {G0,W8,D5,L1,V1,M1} { inverse( X ) = domain_of( flip(
% 1.01/1.42 cross_product( X, universal_class ) ) ) }.
% 1.01/1.42 (10112) {G0,W6,D4,L1,V1,M1} { range_of( X ) = domain_of( inverse( X ) )
% 1.01/1.42 }.
% 1.01/1.42 (10113) {G0,W9,D4,L1,V2,M1} { image( Y, X ) = range_of( restrict( Y, X,
% 1.01/1.42 universal_class ) ) }.
% 1.01/1.42 (10114) {G0,W5,D2,L2,V1,M2} { ! inductive( X ), member( null_class, X )
% 1.01/1.42 }.
% 1.01/1.42 (10115) {G0,W7,D3,L2,V1,M2} { ! inductive( X ), subclass( image(
% 1.01/1.42 successor_relation, X ), X ) }.
% 1.01/1.42 (10116) {G0,W10,D3,L3,V1,M3} { ! member( null_class, X ), ! subclass(
% 1.01/1.42 image( successor_relation, X ), X ), inductive( X ) }.
% 1.01/1.42 (10117) {G0,W3,D2,L1,V0,M1} { member( skol2, universal_class ) }.
% 1.01/1.42 (10118) {G0,W2,D2,L1,V0,M1} { inductive( skol2 ) }.
% 1.01/1.42 (10119) {G0,W5,D2,L2,V1,M2} { ! inductive( X ), subclass( skol2, X ) }.
% 1.01/1.42 (10120) {G0,W9,D3,L2,V3,M2} { ! member( X, sum_class( Y ) ), member( skol3
% 1.01/1.42 ( Z, Y ), Y ) }.
% 1.01/1.42 (10121) {G0,W9,D3,L2,V2,M2} { ! member( X, sum_class( Y ) ), member( X,
% 1.01/1.42 skol3( X, Y ) ) }.
% 1.01/1.42 (10122) {G0,W10,D3,L3,V3,M3} { ! member( X, Z ), ! member( Z, Y ), member
% 1.01/1.42 ( X, sum_class( Y ) ) }.
% 1.01/1.42 (10123) {G0,W7,D3,L2,V1,M2} { ! member( X, universal_class ), member(
% 1.01/1.42 sum_class( X ), universal_class ) }.
% 1.01/1.42 (10124) {G0,W7,D3,L2,V2,M2} { ! member( X, power_class( Y ) ), member( X,
% 1.01/1.42 universal_class ) }.
% 1.01/1.42 (10125) {G0,W7,D3,L2,V2,M2} { ! member( X, power_class( Y ) ), subclass( X
% 1.01/1.42 , Y ) }.
% 1.01/1.42 (10126) {G0,W10,D3,L3,V2,M3} { ! member( X, universal_class ), ! subclass
% 1.01/1.42 ( X, Y ), member( X, power_class( Y ) ) }.
% 1.01/1.42 (10127) {G0,W7,D3,L2,V1,M2} { ! member( X, universal_class ), member(
% 1.01/1.42 power_class( X ), universal_class ) }.
% 1.01/1.42 (10128) {G0,W7,D3,L1,V2,M1} { subclass( compose( Y, X ), cross_product(
% 1.01/1.42 universal_class, universal_class ) ) }.
% 1.01/1.42 (10129) {G0,W10,D3,L2,V4,M2} { ! member( ordered_pair( Z, T ), compose( Y
% 1.01/1.42 , X ) ), member( Z, universal_class ) }.
% 1.01/1.42 (10130) {G0,W15,D5,L2,V4,M2} { ! member( ordered_pair( Z, T ), compose( Y
% 1.01/1.42 , X ) ), member( T, image( Y, image( X, singleton( Z ) ) ) ) }.
% 1.01/1.42 (10131) {G0,W18,D5,L3,V4,M3} { ! member( Z, universal_class ), ! member( T
% 1.01/1.42 , image( Y, image( X, singleton( Z ) ) ) ), member( ordered_pair( Z, T )
% 1.01/1.42 , compose( Y, X ) ) }.
% 1.01/1.42 (10132) {G0,W7,D3,L2,V2,M2} { ! member( X, identity_relation ), member(
% 1.01/1.42 skol4( Y ), universal_class ) }.
% 1.01/1.42 (10133) {G0,W10,D4,L2,V1,M2} { ! member( X, identity_relation ), X =
% 1.01/1.42 ordered_pair( skol4( X ), skol4( X ) ) }.
% 1.01/1.42 (10134) {G0,W11,D3,L3,V2,M3} { ! member( Y, universal_class ), ! X =
% 1.01/1.42 ordered_pair( Y, Y ), member( X, identity_relation ) }.
% 1.01/1.42 (10135) {G0,W7,D3,L2,V1,M2} { ! function( X ), subclass( X, cross_product
% 1.01/1.42 ( universal_class, universal_class ) ) }.
% 1.01/1.42 (10136) {G0,W8,D4,L2,V1,M2} { ! function( X ), subclass( compose( X,
% 1.01/1.42 inverse( X ) ), identity_relation ) }.
% 1.01/1.42 (10137) {G0,W13,D4,L3,V1,M3} { ! subclass( X, cross_product(
% 1.01/1.42 universal_class, universal_class ) ), ! subclass( compose( X, inverse( X
% 1.01/1.42 ) ), identity_relation ), function( X ) }.
% 1.01/1.42 (10138) {G0,W10,D3,L3,V2,M3} { ! member( X, universal_class ), ! function
% 1.01/1.42 ( Y ), member( image( Y, X ), universal_class ) }.
% 1.01/1.42 (10139) {G0,W9,D2,L3,V3,M3} { ! disjoint( X, Y ), ! member( Z, X ), !
% 1.01/1.42 member( Z, Y ) }.
% 1.01/1.42 (10140) {G0,W8,D3,L2,V3,M2} { member( skol5( Z, Y ), Y ), disjoint( X, Y )
% 1.01/1.42 }.
% 1.01/1.42 (10141) {G0,W8,D3,L2,V2,M2} { member( skol5( X, Y ), X ), disjoint( X, Y )
% 1.01/1.42 }.
% 1.01/1.42 (10142) {G0,W7,D3,L2,V2,M2} { X = null_class, member( skol6( Y ),
% 1.01/1.42 universal_class ) }.
% 1.01/1.42 (10143) {G0,W7,D3,L2,V1,M2} { X = null_class, member( skol6( X ), X ) }.
% 1.01/1.42 (10144) {G0,W7,D3,L2,V1,M2} { X = null_class, disjoint( skol6( X ), X )
% 1.01/1.42 }.
% 1.01/1.42 (10145) {G0,W9,D5,L1,V2,M1} { apply( X, Y ) = sum_class( image( X,
% 1.01/1.42 singleton( Y ) ) ) }.
% 1.01/1.42 (10146) {G0,W2,D2,L1,V0,M1} { function( skol7 ) }.
% 1.01/1.42 (10147) {G0,W11,D3,L3,V1,M3} { ! member( X, universal_class ), X =
% 1.01/1.42 null_class, member( apply( skol7, X ), X ) }.
% 1.01/1.42 (10148) {G0,W7,D4,L1,V0,M1} { ordered_pair( first( skol8 ), second( skol8
% 1.01/1.42 ) ) = skol8 }.
% 1.01/1.42 (10149) {G0,W3,D2,L1,V0,M1} { ! member( skol8, universal_class ) }.
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42 Total Proof:
% 1.01/1.42
% 1.01/1.42 subsumption: (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X
% 1.01/1.42 ), member( Z, Y ) }.
% 1.01/1.42 parent0: (10055) {G0,W9,D2,L3,V3,M3} { ! subclass( X, Y ), ! member( Z, X
% 1.01/1.42 ), member( Z, Y ) }.
% 1.01/1.42 substitution0:
% 1.01/1.42 X := X
% 1.01/1.42 Y := Y
% 1.01/1.42 Z := Z
% 1.01/1.42 end
% 1.01/1.42 permutation0:
% 1.01/1.42 0 ==> 0
% 1.01/1.42 1 ==> 1
% 1.01/1.42 2 ==> 2
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 subsumption: (3) {G0,W3,D2,L1,V1,M1} I { subclass( X, universal_class ) }.
% 1.01/1.42 parent0: (10058) {G0,W3,D2,L1,V1,M1} { subclass( X, universal_class ) }.
% 1.01/1.42 substitution0:
% 1.01/1.42 X := X
% 1.01/1.42 end
% 1.01/1.42 permutation0:
% 1.01/1.42 0 ==> 0
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 subsumption: (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subclass( X, Y ) }.
% 1.01/1.42 parent0: (10059) {G0,W6,D2,L2,V2,M2} { ! X = Y, subclass( X, Y ) }.
% 1.01/1.42 substitution0:
% 1.01/1.42 X := X
% 1.01/1.42 Y := Y
% 1.01/1.42 end
% 1.01/1.42 permutation0:
% 1.01/1.42 0 ==> 0
% 1.01/1.42 1 ==> 1
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 subsumption: (5) {G0,W9,D2,L3,V2,M3} I { ! subclass( X, Y ), ! subclass( Y
% 1.01/1.42 , X ), X = Y }.
% 1.01/1.42 parent0: (10061) {G0,W9,D2,L3,V2,M3} { ! subclass( X, Y ), ! subclass( Y,
% 1.01/1.42 X ), X = Y }.
% 1.01/1.42 substitution0:
% 1.01/1.42 X := X
% 1.01/1.42 Y := Y
% 1.01/1.42 end
% 1.01/1.42 permutation0:
% 1.01/1.42 0 ==> 0
% 1.01/1.42 1 ==> 1
% 1.01/1.42 2 ==> 2
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 subsumption: (12) {G0,W5,D3,L1,V2,M1} I { member( unordered_pair( X, Y ),
% 1.01/1.42 universal_class ) }.
% 1.01/1.42 parent0: (10068) {G0,W5,D3,L1,V2,M1} { member( unordered_pair( X, Y ),
% 1.01/1.42 universal_class ) }.
% 1.01/1.42 substitution0:
% 1.01/1.42 X := X
% 1.01/1.42 Y := Y
% 1.01/1.42 end
% 1.01/1.42 permutation0:
% 1.01/1.42 0 ==> 0
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 eqswap: (10175) {G0,W11,D5,L1,V2,M1} { unordered_pair( singleton( X ),
% 1.01/1.42 unordered_pair( X, singleton( Y ) ) ) = ordered_pair( X, Y ) }.
% 1.01/1.42 parent0[0]: (10070) {G0,W11,D5,L1,V2,M1} { ordered_pair( X, Y ) =
% 1.01/1.42 unordered_pair( singleton( X ), unordered_pair( X, singleton( Y ) ) ) }.
% 1.01/1.42 substitution0:
% 1.01/1.42 X := X
% 1.01/1.42 Y := Y
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 subsumption: (14) {G0,W11,D5,L1,V2,M1} I { unordered_pair( singleton( X ),
% 1.01/1.42 unordered_pair( X, singleton( Y ) ) ) ==> ordered_pair( X, Y ) }.
% 1.01/1.42 parent0: (10175) {G0,W11,D5,L1,V2,M1} { unordered_pair( singleton( X ),
% 1.01/1.42 unordered_pair( X, singleton( Y ) ) ) = ordered_pair( X, Y ) }.
% 1.01/1.42 substitution0:
% 1.01/1.42 X := X
% 1.01/1.42 Y := Y
% 1.01/1.42 end
% 1.01/1.42 permutation0:
% 1.01/1.42 0 ==> 0
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 subsumption: (92) {G0,W7,D4,L1,V0,M1} I { ordered_pair( first( skol8 ),
% 1.01/1.42 second( skol8 ) ) ==> skol8 }.
% 1.01/1.42 parent0: (10148) {G0,W7,D4,L1,V0,M1} { ordered_pair( first( skol8 ),
% 1.01/1.42 second( skol8 ) ) = skol8 }.
% 1.01/1.42 substitution0:
% 1.01/1.42 end
% 1.01/1.42 permutation0:
% 1.01/1.42 0 ==> 0
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 subsumption: (93) {G0,W3,D2,L1,V0,M1} I { ! member( skol8, universal_class
% 1.01/1.42 ) }.
% 1.01/1.42 parent0: (10149) {G0,W3,D2,L1,V0,M1} { ! member( skol8, universal_class )
% 1.01/1.42 }.
% 1.01/1.42 substitution0:
% 1.01/1.42 end
% 1.01/1.42 permutation0:
% 1.01/1.42 0 ==> 0
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 resolution: (10264) {G1,W6,D2,L2,V1,M2} { ! subclass( X, universal_class )
% 1.01/1.42 , ! member( skol8, X ) }.
% 1.01/1.42 parent0[0]: (93) {G0,W3,D2,L1,V0,M1} I { ! member( skol8, universal_class )
% 1.01/1.42 }.
% 1.01/1.42 parent1[2]: (0) {G0,W9,D2,L3,V3,M3} I { ! subclass( X, Y ), ! member( Z, X
% 1.01/1.42 ), member( Z, Y ) }.
% 1.01/1.42 substitution0:
% 1.01/1.42 end
% 1.01/1.42 substitution1:
% 1.01/1.42 X := X
% 1.01/1.42 Y := universal_class
% 1.01/1.42 Z := skol8
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 resolution: (10265) {G1,W3,D2,L1,V1,M1} { ! member( skol8, X ) }.
% 1.01/1.42 parent0[0]: (10264) {G1,W6,D2,L2,V1,M2} { ! subclass( X, universal_class )
% 1.01/1.42 , ! member( skol8, X ) }.
% 1.01/1.42 parent1[0]: (3) {G0,W3,D2,L1,V1,M1} I { subclass( X, universal_class ) }.
% 1.01/1.42 substitution0:
% 1.01/1.42 X := X
% 1.01/1.42 end
% 1.01/1.42 substitution1:
% 1.01/1.42 X := X
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 subsumption: (115) {G1,W3,D2,L1,V1,M1} R(93,0);r(3) { ! member( skol8, X )
% 1.01/1.42 }.
% 1.01/1.42 parent0: (10265) {G1,W3,D2,L1,V1,M1} { ! member( skol8, X ) }.
% 1.01/1.42 substitution0:
% 1.01/1.42 X := X
% 1.01/1.42 end
% 1.01/1.42 permutation0:
% 1.01/1.42 0 ==> 0
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 eqswap: (10266) {G0,W6,D2,L2,V2,M2} { ! Y = X, subclass( X, Y ) }.
% 1.01/1.42 parent0[0]: (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subclass( X, Y ) }.
% 1.01/1.42 substitution0:
% 1.01/1.42 X := X
% 1.01/1.42 Y := Y
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 eqswap: (10267) {G0,W6,D2,L2,V2,M2} { ! Y = X, subclass( X, Y ) }.
% 1.01/1.42 parent0[0]: (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subclass( X, Y ) }.
% 1.01/1.42 substitution0:
% 1.01/1.42 X := X
% 1.01/1.42 Y := Y
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 resolution: (10268) {G1,W9,D2,L3,V2,M3} { ! subclass( Y, X ), X = Y, ! Y =
% 1.01/1.42 X }.
% 1.01/1.42 parent0[0]: (5) {G0,W9,D2,L3,V2,M3} I { ! subclass( X, Y ), ! subclass( Y,
% 1.01/1.42 X ), X = Y }.
% 1.01/1.42 parent1[1]: (10266) {G0,W6,D2,L2,V2,M2} { ! Y = X, subclass( X, Y ) }.
% 1.01/1.42 substitution0:
% 1.01/1.42 X := X
% 1.01/1.42 Y := Y
% 1.01/1.42 end
% 1.01/1.42 substitution1:
% 1.01/1.42 X := X
% 1.01/1.42 Y := Y
% 1.01/1.42 end
% 1.01/1.42
% 1.01/1.42 resolution: (10270) {G1,W9,D2,L3,V2,M3} { Y = X, ! X = Y, ! Y = X }.
% 1.01/1.42 parent0[0]: (10268) {G1,W9,D2,L3,V2,M3} { ! subclass( Y, X ), X = Y, ! Y =
% 1.01/1.42 X }.
% 1.01/1.42 parent1[1]: (10267) {G0,W6,D2,L2,V2,M2} { ! Y = X, subclass( X, Y ) }.
% 1.01/1.42 substitution0:
% 1.01/1.42 X := Y
% 1.01/1.42 Y := X
% 1.01/1.42 end
% 1.01/1.42 substitution1Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------