TSTP Solution File: SET814+4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET814+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 22:52:11 EDT 2022
% Result : Theorem 1.86s 2.30s
% Output : Refutation 1.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET814+4 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jul 10 14:22:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.71/1.12 *** allocated 10000 integers for termspace/termends
% 0.71/1.12 *** allocated 10000 integers for clauses
% 0.71/1.12 *** allocated 10000 integers for justifications
% 0.71/1.12 Bliksem 1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Automatic Strategy Selection
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Clauses:
% 0.71/1.12
% 0.71/1.12 { ! subset( X, Y ), ! member( Z, X ), member( Z, Y ) }.
% 0.71/1.12 { ! member( skol1( Z, Y ), Y ), subset( X, Y ) }.
% 0.71/1.12 { member( skol1( X, Y ), X ), subset( X, Y ) }.
% 0.71/1.12 { ! equal_set( X, Y ), subset( X, Y ) }.
% 0.71/1.12 { ! equal_set( X, Y ), subset( Y, X ) }.
% 0.71/1.12 { ! subset( X, Y ), ! subset( Y, X ), equal_set( X, Y ) }.
% 0.71/1.12 { ! member( X, power_set( Y ) ), subset( X, Y ) }.
% 0.71/1.12 { ! subset( X, Y ), member( X, power_set( Y ) ) }.
% 0.71/1.12 { ! member( X, intersection( Y, Z ) ), member( X, Y ) }.
% 0.71/1.12 { ! member( X, intersection( Y, Z ) ), member( X, Z ) }.
% 0.71/1.12 { ! member( X, Y ), ! member( X, Z ), member( X, intersection( Y, Z ) ) }.
% 0.71/1.12 { ! member( X, union( Y, Z ) ), member( X, Y ), member( X, Z ) }.
% 0.71/1.12 { ! member( X, Y ), member( X, union( Y, Z ) ) }.
% 0.71/1.12 { ! member( X, Z ), member( X, union( Y, Z ) ) }.
% 0.71/1.12 { ! member( X, empty_set ) }.
% 0.71/1.12 { ! member( X, difference( Z, Y ) ), member( X, Z ) }.
% 0.71/1.12 { ! member( X, difference( Z, Y ) ), ! member( X, Y ) }.
% 0.71/1.12 { ! member( X, Z ), member( X, Y ), member( X, difference( Z, Y ) ) }.
% 0.71/1.12 { ! member( X, singleton( Y ) ), X = Y }.
% 0.71/1.12 { ! X = Y, member( X, singleton( Y ) ) }.
% 0.71/1.12 { ! member( X, unordered_pair( Y, Z ) ), X = Y, X = Z }.
% 0.71/1.12 { ! X = Y, member( X, unordered_pair( Y, Z ) ) }.
% 0.71/1.12 { ! X = Z, member( X, unordered_pair( Y, Z ) ) }.
% 0.71/1.12 { ! member( X, sum( Y ) ), member( skol2( Z, Y ), Y ) }.
% 0.71/1.12 { ! member( X, sum( Y ) ), member( X, skol2( X, Y ) ) }.
% 0.71/1.12 { ! member( Z, Y ), ! member( X, Z ), member( X, sum( Y ) ) }.
% 0.71/1.12 { ! member( X, product( Y ) ), ! member( Z, Y ), member( X, Z ) }.
% 0.71/1.12 { member( skol3( Z, Y ), Y ), member( X, product( Y ) ) }.
% 0.71/1.12 { ! member( X, skol3( X, Y ) ), member( X, product( Y ) ) }.
% 0.71/1.12 { ! member( X, on ), set( X ) }.
% 0.71/1.12 { ! member( X, on ), alpha1( X ) }.
% 0.71/1.12 { ! set( X ), ! alpha1( X ), member( X, on ) }.
% 0.71/1.12 { ! alpha1( X ), strict_well_order( member_predicate, X ) }.
% 0.71/1.12 { ! alpha1( X ), alpha5( X ) }.
% 0.71/1.12 { ! strict_well_order( member_predicate, X ), ! alpha5( X ), alpha1( X ) }
% 0.71/1.12 .
% 0.71/1.12 { ! alpha5( X ), ! member( Y, X ), subset( Y, X ) }.
% 0.71/1.12 { member( skol4( X ), X ), alpha5( X ) }.
% 0.71/1.12 { ! subset( skol4( X ), X ), alpha5( X ) }.
% 0.71/1.12 { ! strict_well_order( X, Y ), strict_order( X, Y ) }.
% 0.71/1.12 { ! strict_well_order( X, Y ), alpha2( X, Y ) }.
% 0.71/1.12 { ! strict_order( X, Y ), ! alpha2( X, Y ), strict_well_order( X, Y ) }.
% 0.71/1.12 { ! alpha2( X, Y ), ! alpha6( Y, Z ), least( skol5( X, Z ), X, Z ) }.
% 0.71/1.12 { alpha6( Y, skol11( Z, Y ) ), alpha2( X, Y ) }.
% 0.71/1.12 { ! least( Z, X, skol11( X, Y ) ), alpha2( X, Y ) }.
% 0.71/1.12 { ! alpha6( X, Y ), subset( Y, X ) }.
% 0.71/1.12 { ! alpha6( X, Y ), member( skol6( Y ), Y ) }.
% 0.71/1.12 { ! subset( Y, X ), ! member( Z, Y ), alpha6( X, Y ) }.
% 0.71/1.12 { ! least( Z, X, Y ), member( Z, Y ) }.
% 0.71/1.12 { ! least( Z, X, Y ), alpha3( X, Y, Z ) }.
% 0.71/1.12 { ! member( Z, Y ), ! alpha3( X, Y, Z ), least( Z, X, Y ) }.
% 0.71/1.12 { ! alpha3( X, Y, Z ), ! member( T, Y ), alpha7( X, Z, T ) }.
% 0.71/1.12 { member( skol7( T, Y, U ), Y ), alpha3( X, Y, Z ) }.
% 0.71/1.12 { ! alpha7( X, Z, skol7( X, Y, Z ) ), alpha3( X, Y, Z ) }.
% 0.71/1.12 { ! alpha7( X, Y, Z ), Y = Z, apply( X, Y, Z ) }.
% 0.71/1.12 { ! Y = Z, alpha7( X, Y, Z ) }.
% 0.71/1.12 { ! apply( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.71/1.12 { ! apply( member_predicate, X, Y ), member( X, Y ) }.
% 0.71/1.12 { ! member( X, Y ), apply( member_predicate, X, Y ) }.
% 0.71/1.12 { ! strict_order( X, Y ), alpha4( X, Y ) }.
% 0.71/1.12 { ! strict_order( X, Y ), alpha8( X, Y ) }.
% 0.71/1.12 { ! alpha4( X, Y ), ! alpha8( X, Y ), strict_order( X, Y ) }.
% 0.71/1.12 { ! alpha8( X, Y ), ! alpha12( Y, Z, T, U ), alpha13( X, Z, T, U ) }.
% 0.71/1.12 { alpha12( Y, skol8( X, Y ), skol12( X, Y ), skol14( X, Y ) ), alpha8( X, Y
% 0.71/1.12 ) }.
% 0.71/1.12 { ! alpha13( X, skol8( X, Y ), skol12( X, Y ), skol14( X, Y ) ), alpha8( X
% 0.71/1.12 , Y ) }.
% 0.71/1.12 { ! alpha13( X, Y, Z, T ), ! alpha14( X, Y, Z, T ), apply( X, Y, T ) }.
% 0.71/1.12 { alpha14( X, Y, Z, T ), alpha13( X, Y, Z, T ) }.
% 0.71/1.12 { ! apply( X, Y, T ), alpha13( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha14( X, Y, Z, T ), apply( X, Y, Z ) }.
% 0.71/1.12 { ! alpha14( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.71/1.12 { ! apply( X, Y, Z ), ! apply( X, Z, T ), alpha14( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha12( X, Y, Z, T ), member( Y, X ) }.
% 0.71/1.12 { ! alpha12( X, Y, Z, T ), alpha10( X, Z, T ) }.
% 0.71/1.12 { ! member( Y, X ), ! alpha10( X, Z, T ), alpha12( X, Y, Z, T ) }.
% 1.86/2.30 { ! alpha10( X, Y, Z ), member( Y, X ) }.
% 1.86/2.30 { ! alpha10( X, Y, Z ), member( Z, X ) }.
% 1.86/2.30 { ! member( Y, X ), ! member( Z, X ), alpha10( X, Y, Z ) }.
% 1.86/2.30 { ! alpha4( X, Y ), ! alpha9( Y, Z, T ), alpha11( X, Z, T ) }.
% 1.86/2.30 { alpha9( Y, skol9( X, Y ), skol13( X, Y ) ), alpha4( X, Y ) }.
% 1.86/2.30 { ! alpha11( X, skol9( X, Y ), skol13( X, Y ) ), alpha4( X, Y ) }.
% 1.86/2.30 { ! alpha11( X, Y, Z ), ! apply( X, Y, Z ), ! apply( X, Z, Y ) }.
% 1.86/2.30 { apply( X, Y, Z ), alpha11( X, Y, Z ) }.
% 1.86/2.30 { apply( X, Z, Y ), alpha11( X, Y, Z ) }.
% 1.86/2.30 { ! alpha9( X, Y, Z ), member( Y, X ) }.
% 1.86/2.30 { ! alpha9( X, Y, Z ), member( Z, X ) }.
% 1.86/2.30 { ! member( Y, X ), ! member( Z, X ), alpha9( X, Y, Z ) }.
% 1.86/2.30 { ! set( X ), ! member( Y, X ), set( Y ) }.
% 1.86/2.30 { ! member( T, initial_segment( X, Y, Z ) ), member( T, Z ) }.
% 1.86/2.30 { ! member( T, initial_segment( X, Y, Z ) ), apply( Y, T, X ) }.
% 1.86/2.30 { ! member( T, Z ), ! apply( Y, T, X ), member( T, initial_segment( X, Y, Z
% 1.86/2.30 ) ) }.
% 1.86/2.30 { ! member( Y, suc( X ) ), member( Y, union( X, singleton( X ) ) ) }.
% 1.86/2.30 { ! member( Y, union( X, singleton( X ) ) ), member( Y, suc( X ) ) }.
% 1.86/2.30 { ! subset( X, Z ), ! subset( Z, Y ), subset( X, Y ) }.
% 1.86/2.30 { member( skol10, on ) }.
% 1.86/2.30 { ! subset( sum( skol10 ), skol10 ) }.
% 1.86/2.30
% 1.86/2.30 percentage equality = 0.037383, percentage horn = 0.851064
% 1.86/2.30 This is a problem with some equality
% 1.86/2.30
% 1.86/2.30
% 1.86/2.30
% 1.86/2.30 Options Used:
% 1.86/2.30
% 1.86/2.30 useres = 1
% 1.86/2.30 useparamod = 1
% 1.86/2.30 useeqrefl = 1
% 1.86/2.30 useeqfact = 1
% 1.86/2.30 usefactor = 1
% 1.86/2.30 usesimpsplitting = 0
% 1.86/2.30 usesimpdemod = 5
% 1.86/2.30 usesimpres = 3
% 1.86/2.30
% 1.86/2.30 resimpinuse = 1000
% 1.86/2.30 resimpclauses = 20000
% 1.86/2.30 substype = eqrewr
% 1.86/2.30 backwardsubs = 1
% 1.86/2.30 selectoldest = 5
% 1.86/2.30
% 1.86/2.30 litorderings [0] = split
% 1.86/2.30 litorderings [1] = extend the termordering, first sorting on arguments
% 1.86/2.30
% 1.86/2.30 termordering = kbo
% 1.86/2.30
% 1.86/2.30 litapriori = 0
% 1.86/2.30 termapriori = 1
% 1.86/2.30 litaposteriori = 0
% 1.86/2.30 termaposteriori = 0
% 1.86/2.30 demodaposteriori = 0
% 1.86/2.30 ordereqreflfact = 0
% 1.86/2.30
% 1.86/2.30 litselect = negord
% 1.86/2.30
% 1.86/2.30 maxweight = 15
% 1.86/2.30 maxdepth = 30000
% 1.86/2.30 maxlength = 115
% 1.86/2.30 maxnrvars = 195
% 1.86/2.30 excuselevel = 1
% 1.86/2.30 increasemaxweight = 1
% 1.86/2.30
% 1.86/2.30 maxselected = 10000000
% 1.86/2.30 maxnrclauses = 10000000
% 1.86/2.30
% 1.86/2.30 showgenerated = 0
% 1.86/2.30 showkept = 0
% 1.86/2.30 showselected = 0
% 1.86/2.30 showdeleted = 0
% 1.86/2.30 showresimp = 1
% 1.86/2.30 showstatus = 2000
% 1.86/2.30
% 1.86/2.30 prologoutput = 0
% 1.86/2.30 nrgoals = 5000000
% 1.86/2.30 totalproof = 1
% 1.86/2.30
% 1.86/2.30 Symbols occurring in the translation:
% 1.86/2.30
% 1.86/2.30 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.86/2.30 . [1, 2] (w:1, o:34, a:1, s:1, b:0),
% 1.86/2.30 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 1.86/2.30 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.86/2.30 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.86/2.30 subset [37, 2] (w:1, o:60, a:1, s:1, b:0),
% 1.86/2.30 member [39, 2] (w:1, o:61, a:1, s:1, b:0),
% 1.86/2.30 equal_set [40, 2] (w:1, o:63, a:1, s:1, b:0),
% 1.86/2.30 power_set [41, 1] (w:1, o:24, a:1, s:1, b:0),
% 1.86/2.30 intersection [42, 2] (w:1, o:64, a:1, s:1, b:0),
% 1.86/2.30 union [43, 2] (w:1, o:65, a:1, s:1, b:0),
% 1.86/2.30 empty_set [44, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.86/2.30 difference [46, 2] (w:1, o:62, a:1, s:1, b:0),
% 1.86/2.30 singleton [47, 1] (w:1, o:25, a:1, s:1, b:0),
% 1.86/2.30 unordered_pair [48, 2] (w:1, o:66, a:1, s:1, b:0),
% 1.86/2.30 sum [49, 1] (w:1, o:26, a:1, s:1, b:0),
% 1.86/2.30 product [51, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.86/2.30 on [52, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.86/2.30 set [53, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.86/2.30 member_predicate [54, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.86/2.30 strict_well_order [55, 2] (w:1, o:58, a:1, s:1, b:0),
% 1.86/2.30 strict_order [57, 2] (w:1, o:59, a:1, s:1, b:0),
% 1.86/2.30 least [58, 3] (w:1, o:81, a:1, s:1, b:0),
% 1.86/2.30 apply [60, 3] (w:1, o:82, a:1, s:1, b:0),
% 1.86/2.30 initial_segment [62, 3] (w:1, o:83, a:1, s:1, b:0),
% 1.86/2.30 suc [63, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.86/2.30 alpha1 [65, 1] (w:1, o:30, a:1, s:1, b:1),
% 1.86/2.30 alpha2 [66, 2] (w:1, o:67, a:1, s:1, b:1),
% 1.86/2.30 alpha3 [67, 3] (w:1, o:84, a:1, s:1, b:1),
% 1.86/2.30 alpha4 [68, 2] (w:1, o:68, a:1, s:1, b:1),
% 1.86/2.30 alpha5 [69, 1] (w:1, o:31, a:1, s:1, b:1),
% 1.86/2.30 alpha6 [70, 2] (w:1, o:69, a:1, s:1, b:1),
% 1.86/2.30 alpha7 [71, 3] (w:1, o:85, a:1, s:1, b:1),
% 1.86/2.30 alpha8 [72, 2] (w:1, o:70, a:1, s:1, b:1),
% 1.86/2.30 alpha9 [73, 3] (w:1, o:86, a:1, s:1, b:1),
% 1.86/2.30 alpha10 [74, 3] (w:1, o:87, a:1, s:1, b:1),
% 1.86/2.30 alpha11 [75, 3] (w:1, o:88, a:1, s:1, b:1),
% 1.86/2.30 alpha12 [76, 4] (w:1, o:90, a:1, s:1, b:1),
% 1.86/2.30 alpha13 [77, 4] (w:1, o:91, a:1, s:1, b:1),
% 1.86/2.30 alpha14 [78, 4] (w:1, o:92, a:1, s:1, b:1),
% 1.86/2.30 skol1 [79, 2] (w:1, o:71, a:1, s:1, b:1),
% 1.86/2.30 skol2 [80, 2] (w:1, o:76, a:1, s:1, b:1),
% 1.86/2.30 skol3 [81, 2] (w:1, o:77, a:1, s:1, b:1),
% 1.86/2.30 skol4 [82, 1] (w:1, o:32, a:1, s:1, b:1),
% 1.86/2.30 skol5 [83, 2] (w:1, o:78, a:1, s:1, b:1),
% 1.86/2.30 skol6 [84, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.86/2.30 skol7 [85, 3] (w:1, o:89, a:1, s:1, b:1),
% 1.86/2.30 skol8 [86, 2] (w:1, o:79, a:1, s:1, b:1),
% 1.86/2.30 skol9 [87, 2] (w:1, o:80, a:1, s:1, b:1),
% 1.86/2.30 skol10 [88, 0] (w:1, o:18, a:1, s:1, b:1),
% 1.86/2.30 skol11 [89, 2] (w:1, o:72, a:1, s:1, b:1),
% 1.86/2.30 skol12 [90, 2] (w:1, o:73, a:1, s:1, b:1),
% 1.86/2.30 skol13 [91, 2] (w:1, o:74, a:1, s:1, b:1),
% 1.86/2.30 skol14 [92, 2] (w:1, o:75, a:1, s:1, b:1).
% 1.86/2.30
% 1.86/2.30
% 1.86/2.30 Starting Search:
% 1.86/2.30
% 1.86/2.30 *** allocated 15000 integers for clauses
% 1.86/2.30 *** allocated 22500 integers for clauses
% 1.86/2.30 *** allocated 33750 integers for clauses
% 1.86/2.30 *** allocated 50625 integers for clauses
% 1.86/2.30 *** allocated 15000 integers for termspace/termends
% 1.86/2.30 *** allocated 75937 integers for clauses
% 1.86/2.30 Resimplifying inuse:
% 1.86/2.30 Done
% 1.86/2.30
% 1.86/2.30 *** allocated 22500 integers for termspace/termends
% 1.86/2.30 *** allocated 113905 integers for clauses
% 1.86/2.30 *** allocated 33750 integers for termspace/termends
% 1.86/2.30
% 1.86/2.30 Intermediate Status:
% 1.86/2.30 Generated: 2775
% 1.86/2.30 Kept: 2095
% 1.86/2.30 Inuse: 123
% 1.86/2.30 Deleted: 3
% 1.86/2.30 Deletedinuse: 0
% 1.86/2.30
% 1.86/2.30 Resimplifying inuse:
% 1.86/2.30 Done
% 1.86/2.30
% 1.86/2.30 *** allocated 170857 integers for clauses
% 1.86/2.30 *** allocated 50625 integers for termspace/termends
% 1.86/2.30 Resimplifying inuse:
% 1.86/2.30 Done
% 1.86/2.30
% 1.86/2.30 *** allocated 256285 integers for clauses
% 1.86/2.30 *** allocated 75937 integers for termspace/termends
% 1.86/2.30
% 1.86/2.30 Intermediate Status:
% 1.86/2.30 Generated: 5440
% 1.86/2.30 Kept: 4143
% 1.86/2.30 Inuse: 242
% 1.86/2.30 Deleted: 16
% 1.86/2.30 Deletedinuse: 12
% 1.86/2.30
% 1.86/2.30 Resimplifying inuse:
% 1.86/2.30 Done
% 1.86/2.30
% 1.86/2.30 Resimplifying inuse:
% 1.86/2.30 Done
% 1.86/2.30
% 1.86/2.30 *** allocated 384427 integers for clauses
% 1.86/2.30 *** allocated 113905 integers for termspace/termends
% 1.86/2.30
% 1.86/2.30 Intermediate Status:
% 1.86/2.30 Generated: 8282
% 1.86/2.30 Kept: 6149
% 1.86/2.30 Inuse: 369
% 1.86/2.30 Deleted: 16
% 1.86/2.30 Deletedinuse: 12
% 1.86/2.30
% 1.86/2.30 Resimplifying inuse:
% 1.86/2.30 Done
% 1.86/2.30
% 1.86/2.30 Resimplifying inuse:
% 1.86/2.30 Done
% 1.86/2.30
% 1.86/2.30 *** allocated 576640 integers for clauses
% 1.86/2.30
% 1.86/2.30 Intermediate Status:
% 1.86/2.30 Generated: 11394
% 1.86/2.30 Kept: 8687
% 1.86/2.30 Inuse: 426
% 1.86/2.30 Deleted: 23
% 1.86/2.30 Deletedinuse: 18
% 1.86/2.30
% 1.86/2.30 Resimplifying inuse:
% 1.86/2.30 Done
% 1.86/2.30
% 1.86/2.30 *** allocated 170857 integers for termspace/termends
% 1.86/2.30 Resimplifying inuse:
% 1.86/2.30 Done
% 1.86/2.30
% 1.86/2.30
% 1.86/2.30 Intermediate Status:
% 1.86/2.30 Generated: 15903
% 1.86/2.30 Kept: 10708
% 1.86/2.30 Inuse: 441
% 1.86/2.30 Deleted: 23
% 1.86/2.30 Deletedinuse: 18
% 1.86/2.30
% 1.86/2.30 Resimplifying inuse:
% 1.86/2.30 Done
% 1.86/2.30
% 1.86/2.30 Resimplifying inuse:
% 1.86/2.30 Done
% 1.86/2.30
% 1.86/2.30
% 1.86/2.30 Intermediate Status:
% 1.86/2.30 Generated: 19251
% 1.86/2.30 Kept: 12740
% 1.86/2.30 Inuse: 516
% 1.86/2.30 Deleted: 24
% 1.86/2.30 Deletedinuse: 18
% 1.86/2.30
% 1.86/2.30 Resimplifying inuse:
% 1.86/2.30 Done
% 1.86/2.30
% 1.86/2.30 *** allocated 256285 integers for termspace/termends
% 1.86/2.30 *** allocated 864960 integers for clauses
% 1.86/2.30 Resimplifying inuse:
% 1.86/2.30 Done
% 1.86/2.30
% 1.86/2.30
% 1.86/2.30 Intermediate Status:
% 1.86/2.30 Generated: 22430
% 1.86/2.30 Kept: 14789
% 1.86/2.30 Inuse: 562
% 1.86/2.30 Deleted: 24
% 1.86/2.30 Deletedinuse: 18
% 1.86/2.30
% 1.86/2.30 Resimplifying inuse:
% 1.86/2.30 Done
% 1.86/2.30
% 1.86/2.30 Resimplifying inuse:
% 1.86/2.30 Done
% 1.86/2.30
% 1.86/2.30
% 1.86/2.30 Intermediate Status:
% 1.86/2.30 Generated: 26024
% 1.86/2.30 Kept: 16812
% 1.86/2.30 Inuse: 608
% 1.86/2.30 Deleted: 25
% 1.86/2.30 Deletedinuse: 19
% 1.86/2.30
% 1.86/2.30 Resimplifying inuse:
% 1.86/2.30 Done
% 1.86/2.30
% 1.86/2.30 Resimplifying inuse:
% 1.86/2.30 Done
% 1.86/2.30
% 1.86/2.30
% 1.86/2.30 Intermediate Status:
% 1.86/2.30 Generated: 29279
% 1.86/2.30 Kept: 18833
% 1.86/2.30 Inuse: 658
% 1.86/2.30 Deleted: 26
% 1.86/2.30 Deletedinuse: 19
% 1.86/2.30
% 1.86/2.30 Resimplifying inuse:
% 1.86/2.30 Done
% 1.86/2.30
% 1.86/2.30 *** allocated 384427 integers for termspace/termends
% 1.86/2.30 Resimplifying inuse:
% 1.86/2.30 Done
% 1.86/2.30
% 1.86/2.30 *** allocated 1297440 integers for clauses
% 1.86/2.30 Resimplifying clauses:
% 1.86/2.30
% 1.86/2.30 Bliksems!, er is een bewijs:
% 1.86/2.30 % SZS status Theorem
% 1.86/2.30 % SZS output start Refutation
% 1.86/2.30
% 1.86/2.30 (0) {G0,W9,D2,L3,V3,M3} I { ! subset( X, Y ), ! member( Z, X ), member( Z,
% 1.86/2.30 Y ) }.
% 1.86/2.30 (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ), subset( X, Y )
% 1.86/2.30 }.
% 1.86/2.30 (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset( X, Y ) }.
% 1.86/2.30 (23) {G0,W9,D3,L2,V3,M2} I { ! member( X, sum( Y ) ), member( skol2( Z, Y )
% 1.86/2.30 , Y ) }.
% 1.86/2.30 (24) {G0,W9,D3,L2,V2,M2} I { ! member( X, sum( Y ) ), member( X, skol2( X,
% 1.86/2.30 Y ) ) }.
% 1.86/2.30 (30) {G0,W5,D2,L2,V1,M2} I { ! member( X, on ), alpha1( X ) }.
% 1.86/2.30 (33) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha5( X ) }.
% 1.86/2.30 (35) {G0,W8,D2,L3,V2,M3} I { ! alpha5( X ), ! member( Y, X ), subset( Y, X
% 1.86/2.30 ) }.
% 1.86/2.30 (92) {G0,W3,D2,L1,V0,M1} I { member( skol10, on ) }.
% 1.86/2.30 (93) {G0,W4,D3,L1,V0,M1} I { ! subset( sum( skol10 ), skol10 ) }.
% 1.86/2.30 (116) {G1,W2,D2,L1,V0,M1} R(30,92) { alpha1( skol10 ) }.
% 1.86/2.30 (118) {G2,W2,D2,L1,V0,M1} R(116,33) { alpha5( skol10 ) }.
% 1.86/2.30 (119) {G1,W5,D3,L1,V1,M1} R(1,93) { ! member( skol1( X, skol10 ), skol10 )
% 1.86/2.30 }.
% 1.86/2.30 (129) {G1,W7,D4,L1,V0,M1} R(2,93) { member( skol1( sum( skol10 ), skol10 )
% 1.86/2.30 , sum( skol10 ) ) }.
% 1.86/2.30 (138) {G2,W8,D3,L2,V2,M2} R(119,0) { ! subset( X, skol10 ), ! member( skol1
% 1.86/2.30 ( Y, skol10 ), X ) }.
% 1.86/2.30 (2689) {G3,W6,D2,L2,V1,M2} R(35,118) { ! member( X, skol10 ), subset( X,
% 1.86/2.30 skol10 ) }.
% 1.86/2.30 (12634) {G2,W11,D5,L1,V0,M1} R(129,24) { member( skol1( sum( skol10 ),
% 1.86/2.30 skol10 ), skol2( skol1( sum( skol10 ), skol10 ), skol10 ) ) }.
% 1.86/2.30 (12635) {G2,W5,D3,L1,V1,M1} R(129,23) { member( skol2( X, skol10 ), skol10
% 1.86/2.30 ) }.
% 1.86/2.30 (12698) {G4,W5,D3,L1,V1,M1} R(12635,2689) { subset( skol2( X, skol10 ),
% 1.86/2.30 skol10 ) }.
% 1.86/2.30 (14030) {G5,W7,D3,L1,V2,M1} R(138,12698) { ! member( skol1( X, skol10 ),
% 1.86/2.30 skol2( Y, skol10 ) ) }.
% 1.86/2.30 (20026) {G6,W0,D0,L0,V0,M0} S(12634);r(14030) { }.
% 1.86/2.30
% 1.86/2.30
% 1.86/2.30 % SZS output end Refutation
% 1.86/2.30 found a proof!
% 1.86/2.30
% 1.86/2.30
% 1.86/2.30 Unprocessed initial clauses:
% 1.86/2.30
% 1.86/2.30 (20028) {G0,W9,D2,L3,V3,M3} { ! subset( X, Y ), ! member( Z, X ), member(
% 1.86/2.30 Z, Y ) }.
% 1.86/2.30 (20029) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ), subset( X, Y )
% 1.86/2.30 }.
% 1.86/2.30 (20030) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subset( X, Y )
% 1.86/2.30 }.
% 1.86/2.30 (20031) {G0,W6,D2,L2,V2,M2} { ! equal_set( X, Y ), subset( X, Y ) }.
% 1.86/2.30 (20032) {G0,W6,D2,L2,V2,M2} { ! equal_set( X, Y ), subset( Y, X ) }.
% 1.86/2.30 (20033) {G0,W9,D2,L3,V2,M3} { ! subset( X, Y ), ! subset( Y, X ),
% 1.86/2.30 equal_set( X, Y ) }.
% 1.86/2.30 (20034) {G0,W7,D3,L2,V2,M2} { ! member( X, power_set( Y ) ), subset( X, Y
% 1.86/2.30 ) }.
% 1.86/2.30 (20035) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), member( X, power_set( Y )
% 1.86/2.30 ) }.
% 1.86/2.30 (20036) {G0,W8,D3,L2,V3,M2} { ! member( X, intersection( Y, Z ) ), member
% 1.86/2.30 ( X, Y ) }.
% 1.86/2.30 (20037) {G0,W8,D3,L2,V3,M2} { ! member( X, intersection( Y, Z ) ), member
% 1.86/2.30 ( X, Z ) }.
% 1.86/2.30 (20038) {G0,W11,D3,L3,V3,M3} { ! member( X, Y ), ! member( X, Z ), member
% 1.86/2.30 ( X, intersection( Y, Z ) ) }.
% 1.86/2.30 (20039) {G0,W11,D3,L3,V3,M3} { ! member( X, union( Y, Z ) ), member( X, Y
% 1.86/2.30 ), member( X, Z ) }.
% 1.86/2.30 (20040) {G0,W8,D3,L2,V3,M2} { ! member( X, Y ), member( X, union( Y, Z ) )
% 1.86/2.30 }.
% 1.86/2.30 (20041) {G0,W8,D3,L2,V3,M2} { ! member( X, Z ), member( X, union( Y, Z ) )
% 1.86/2.30 }.
% 1.86/2.30 (20042) {G0,W3,D2,L1,V1,M1} { ! member( X, empty_set ) }.
% 1.86/2.30 (20043) {G0,W8,D3,L2,V3,M2} { ! member( X, difference( Z, Y ) ), member( X
% 1.86/2.30 , Z ) }.
% 1.86/2.30 (20044) {G0,W8,D3,L2,V3,M2} { ! member( X, difference( Z, Y ) ), ! member
% 1.86/2.30 ( X, Y ) }.
% 1.86/2.30 (20045) {G0,W11,D3,L3,V3,M3} { ! member( X, Z ), member( X, Y ), member( X
% 1.86/2.30 , difference( Z, Y ) ) }.
% 1.86/2.30 (20046) {G0,W7,D3,L2,V2,M2} { ! member( X, singleton( Y ) ), X = Y }.
% 1.86/2.30 (20047) {G0,W7,D3,L2,V2,M2} { ! X = Y, member( X, singleton( Y ) ) }.
% 1.86/2.30 (20048) {G0,W11,D3,L3,V3,M3} { ! member( X, unordered_pair( Y, Z ) ), X =
% 1.86/2.30 Y, X = Z }.
% 1.86/2.30 (20049) {G0,W8,D3,L2,V3,M2} { ! X = Y, member( X, unordered_pair( Y, Z ) )
% 1.86/2.30 }.
% 1.86/2.30 (20050) {G0,W8,D3,L2,V3,M2} { ! X = Z, member( X, unordered_pair( Y, Z ) )
% 1.86/2.30 }.
% 1.86/2.30 (20051) {G0,W9,D3,L2,V3,M2} { ! member( X, sum( Y ) ), member( skol2( Z, Y
% 1.86/2.30 ), Y ) }.
% 1.86/2.30 (20052) {G0,W9,D3,L2,V2,M2} { ! member( X, sum( Y ) ), member( X, skol2( X
% 1.86/2.30 , Y ) ) }.
% 1.86/2.30 (20053) {G0,W10,D3,L3,V3,M3} { ! member( Z, Y ), ! member( X, Z ), member
% 1.86/2.30 ( X, sum( Y ) ) }.
% 1.86/2.30 (20054) {G0,W10,D3,L3,V3,M3} { ! member( X, product( Y ) ), ! member( Z, Y
% 1.86/2.30 ), member( X, Z ) }.
% 1.86/2.30 (20055) {G0,W9,D3,L2,V3,M2} { member( skol3( Z, Y ), Y ), member( X,
% 1.86/2.30 product( Y ) ) }.
% 1.86/2.30 (20056) {G0,W9,D3,L2,V2,M2} { ! member( X, skol3( X, Y ) ), member( X,
% 1.86/2.30 product( Y ) ) }.
% 1.86/2.30 (20057) {G0,W5,D2,L2,V1,M2} { ! member( X, on ), set( X ) }.
% 1.86/2.30 (20058) {G0,W5,D2,L2,V1,M2} { ! member( X, on ), alpha1( X ) }.
% 1.86/2.30 (20059) {G0,W7,D2,L3,V1,M3} { ! set( X ), ! alpha1( X ), member( X, on )
% 1.86/2.30 }.
% 1.86/2.30 (20060) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), strict_well_order(
% 1.86/2.30 member_predicate, X ) }.
% 1.86/2.30 (20061) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha5( X ) }.
% 1.86/2.30 (20062) {G0,W7,D2,L3,V1,M3} { ! strict_well_order( member_predicate, X ),
% 1.86/2.30 ! alpha5( X ), alpha1( X ) }.
% 1.86/2.30 (20063) {G0,W8,D2,L3,V2,M3} { ! alpha5( X ), ! member( Y, X ), subset( Y,
% 1.86/2.30 X ) }.
% 1.86/2.30 (20064) {G0,W6,D3,L2,V1,M2} { member( skol4( X ), X ), alpha5( X ) }.
% 1.86/2.30 (20065) {G0,W6,D3,L2,V1,M2} { ! subset( skol4( X ), X ), alpha5( X ) }.
% 1.86/2.30 (20066) {G0,W6,D2,L2,V2,M2} { ! strict_well_order( X, Y ), strict_order( X
% 1.86/2.30 , Y ) }.
% 1.86/2.30 (20067) {G0,W6,D2,L2,V2,M2} { ! strict_well_order( X, Y ), alpha2( X, Y )
% 1.86/2.30 }.
% 1.86/2.30 (20068) {G0,W9,D2,L3,V2,M3} { ! strict_order( X, Y ), ! alpha2( X, Y ),
% 1.86/2.30 strict_well_order( X, Y ) }.
% 1.86/2.30 (20069) {G0,W12,D3,L3,V3,M3} { ! alpha2( X, Y ), ! alpha6( Y, Z ), least(
% 1.86/2.30 skol5( X, Z ), X, Z ) }.
% 1.86/2.30 (20070) {G0,W8,D3,L2,V3,M2} { alpha6( Y, skol11( Z, Y ) ), alpha2( X, Y )
% 1.86/2.30 }.
% 1.86/2.30 (20071) {G0,W9,D3,L2,V3,M2} { ! least( Z, X, skol11( X, Y ) ), alpha2( X,
% 1.86/2.30 Y ) }.
% 1.86/2.30 (20072) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), subset( Y, X ) }.
% 1.86/2.30 (20073) {G0,W7,D3,L2,V2,M2} { ! alpha6( X, Y ), member( skol6( Y ), Y )
% 1.86/2.30 }.
% 1.86/2.30 (20074) {G0,W9,D2,L3,V3,M3} { ! subset( Y, X ), ! member( Z, Y ), alpha6(
% 1.86/2.30 X, Y ) }.
% 1.86/2.30 (20075) {G0,W7,D2,L2,V3,M2} { ! least( Z, X, Y ), member( Z, Y ) }.
% 1.86/2.30 (20076) {G0,W8,D2,L2,V3,M2} { ! least( Z, X, Y ), alpha3( X, Y, Z ) }.
% 1.86/2.30 (20077) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha3( X, Y, Z ),
% 1.86/2.30 least( Z, X, Y ) }.
% 1.86/2.30 (20078) {G0,W11,D2,L3,V4,M3} { ! alpha3( X, Y, Z ), ! member( T, Y ),
% 1.86/2.30 alpha7( X, Z, T ) }.
% 1.86/2.30 (20079) {G0,W10,D3,L2,V5,M2} { member( skol7( T, Y, U ), Y ), alpha3( X, Y
% 1.86/2.30 , Z ) }.
% 1.86/2.30 (20080) {G0,W11,D3,L2,V3,M2} { ! alpha7( X, Z, skol7( X, Y, Z ) ), alpha3
% 1.86/2.30 ( X, Y, Z ) }.
% 1.86/2.30 (20081) {G0,W11,D2,L3,V3,M3} { ! alpha7( X, Y, Z ), Y = Z, apply( X, Y, Z
% 1.86/2.30 ) }.
% 1.86/2.30 (20082) {G0,W7,D2,L2,V3,M2} { ! Y = Z, alpha7( X, Y, Z ) }.
% 1.86/2.30 (20083) {G0,W8,D2,L2,V3,M2} { ! apply( X, Y, Z ), alpha7( X, Y, Z ) }.
% 1.86/2.30 (20084) {G0,W7,D2,L2,V2,M2} { ! apply( member_predicate, X, Y ), member( X
% 1.86/2.30 , Y ) }.
% 1.86/2.30 (20085) {G0,W7,D2,L2,V2,M2} { ! member( X, Y ), apply( member_predicate, X
% 1.86/2.30 , Y ) }.
% 1.86/2.30 (20086) {G0,W6,D2,L2,V2,M2} { ! strict_order( X, Y ), alpha4( X, Y ) }.
% 1.86/2.30 (20087) {G0,W6,D2,L2,V2,M2} { ! strict_order( X, Y ), alpha8( X, Y ) }.
% 1.86/2.30 (20088) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), ! alpha8( X, Y ),
% 1.86/2.30 strict_order( X, Y ) }.
% 1.86/2.30 (20089) {G0,W13,D2,L3,V5,M3} { ! alpha8( X, Y ), ! alpha12( Y, Z, T, U ),
% 1.86/2.30 alpha13( X, Z, T, U ) }.
% 1.86/2.30 (20090) {G0,W14,D3,L2,V2,M2} { alpha12( Y, skol8( X, Y ), skol12( X, Y ),
% 1.86/2.30 skol14( X, Y ) ), alpha8( X, Y ) }.
% 1.86/2.30 (20091) {G0,W14,D3,L2,V2,M2} { ! alpha13( X, skol8( X, Y ), skol12( X, Y )
% 1.86/2.30 , skol14( X, Y ) ), alpha8( X, Y ) }.
% 1.86/2.30 (20092) {G0,W14,D2,L3,V4,M3} { ! alpha13( X, Y, Z, T ), ! alpha14( X, Y, Z
% 1.86/2.30 , T ), apply( X, Y, T ) }.
% 1.86/2.30 (20093) {G0,W10,D2,L2,V4,M2} { alpha14( X, Y, Z, T ), alpha13( X, Y, Z, T
% 1.86/2.30 ) }.
% 1.86/2.30 (20094) {G0,W9,D2,L2,V4,M2} { ! apply( X, Y, T ), alpha13( X, Y, Z, T )
% 1.86/2.30 }.
% 1.86/2.30 (20095) {G0,W9,D2,L2,V4,M2} { ! alpha14( X, Y, Z, T ), apply( X, Y, Z )
% 1.86/2.30 }.
% 1.86/2.30 (20096) {G0,W9,D2,L2,V4,M2} { ! alpha14( X, Y, Z, T ), apply( X, Z, T )
% 1.86/2.30 }.
% 1.86/2.30 (20097) {G0,W13,D2,L3,V4,M3} { ! apply( X, Y, Z ), ! apply( X, Z, T ),
% 1.86/2.30 alpha14( X, Y, Z, T ) }.
% 1.86/2.30 (20098) {G0,W8,D2,L2,V4,M2} { ! alpha12( X, Y, Z, T ), member( Y, X ) }.
% 1.86/2.30 (20099) {G0,W9,D2,L2,V4,M2} { ! alpha12( X, Y, Z, T ), alpha10( X, Z, T )
% 1.86/2.30 }.
% 1.86/2.30 (20100) {G0,W12,D2,L3,V4,M3} { ! member( Y, X ), ! alpha10( X, Z, T ),
% 1.86/2.30 alpha12( X, Y, Z, T ) }.
% 1.86/2.30 (20101) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), member( Y, X ) }.
% 1.86/2.30 (20102) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), member( Z, X ) }.
% 1.86/2.30 (20103) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha10
% 1.86/2.30 ( X, Y, Z ) }.
% 1.86/2.30 (20104) {G0,W11,D2,L3,V4,M3} { ! alpha4( X, Y ), ! alpha9( Y, Z, T ),
% 1.86/2.30 alpha11( X, Z, T ) }.
% 1.86/2.30 (20105) {G0,W11,D3,L2,V2,M2} { alpha9( Y, skol9( X, Y ), skol13( X, Y ) )
% 1.86/2.30 , alpha4( X, Y ) }.
% 1.86/2.30 (20106) {G0,W11,D3,L2,V2,M2} { ! alpha11( X, skol9( X, Y ), skol13( X, Y )
% 1.86/2.30 ), alpha4( X, Y ) }.
% 1.86/2.30 (20107) {G0,W12,D2,L3,V3,M3} { ! alpha11( X, Y, Z ), ! apply( X, Y, Z ), !
% 1.86/2.30 apply( X, Z, Y ) }.
% 1.86/2.30 (20108) {G0,W8,D2,L2,V3,M2} { apply( X, Y, Z ), alpha11( X, Y, Z ) }.
% 1.86/2.30 (20109) {G0,W8,D2,L2,V3,M2} { apply( X, Z, Y ), alpha11( X, Y, Z ) }.
% 1.86/2.30 (20110) {G0,W7,D2,L2,V3,M2} { ! alpha9( X, Y, Z ), member( Y, X ) }.
% 1.86/2.30 (20111) {G0,W7,D2,L2,V3,M2} { ! alpha9( X, Y, Z ), member( Z, X ) }.
% 1.86/2.30 (20112) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha9
% 1.86/2.30 ( X, Y, Z ) }.
% 1.86/2.30 (20113) {G0,W7,D2,L3,V2,M3} { ! set( X ), ! member( Y, X ), set( Y ) }.
% 1.86/2.30 (20114) {G0,W9,D3,L2,V4,M2} { ! member( T, initial_segment( X, Y, Z ) ),
% 1.86/2.30 member( T, Z ) }.
% 1.86/2.30 (20115) {G0,W10,D3,L2,V4,M2} { ! member( T, initial_segment( X, Y, Z ) ),
% 1.86/2.30 apply( Y, T, X ) }.
% 1.86/2.30 (20116) {G0,W13,D3,L3,V4,M3} { ! member( T, Z ), ! apply( Y, T, X ),
% 1.86/2.30 member( T, initial_segment( X, Y, Z ) ) }.
% 1.86/2.30 (20117) {G0,W10,D4,L2,V2,M2} { ! member( Y, suc( X ) ), member( Y, union(
% 1.86/2.30 X, singleton( X ) ) ) }.
% 1.86/2.30 (20118) {G0,W10,D4,L2,V2,M2} { ! member( Y, union( X, singleton( X ) ) ),
% 1.86/2.30 member( Y, suc( X ) ) }.
% 1.86/2.30 (20119) {G0,W9,D2,L3,V3,M3} { ! subset( X, Z ), ! subset( Z, Y ), subset(
% 1.86/2.30 X, Y ) }.
% 1.86/2.30 (20120) {G0,W3,D2,L1,V0,M1} { member( skol10, on ) }.
% 1.86/2.30 (20121) {G0,W4,D3,L1,V0,M1} { ! subset( sum( skol10 ), skol10 ) }.
% 1.86/2.30
% 1.86/2.30
% 1.86/2.30 Total Proof:
% 1.86/2.30
% 1.86/2.30 subsumption: (0) {G0,W9,D2,L3,V3,M3} I { ! subset( X, Y ), ! member( Z, X )
% 1.86/2.30 , member( Z, Y ) }.
% 1.86/2.30 parent0: (20028) {G0,W9,D2,L3,V3,M3} { ! subset( X, Y ), ! member( Z, X )
% 1.86/2.30 , member( Z, Y ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := X
% 1.86/2.30 Y := Y
% 1.86/2.30 Z := Z
% 1.86/2.30 end
% 1.86/2.30 permutation0:
% 1.86/2.30 0 ==> 0
% 1.86/2.30 1 ==> 1
% 1.86/2.30 2 ==> 2
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 subsumption: (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ),
% 1.86/2.30 subset( X, Y ) }.
% 1.86/2.30 parent0: (20029) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ),
% 1.86/2.30 subset( X, Y ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := X
% 1.86/2.30 Y := Y
% 1.86/2.30 Z := Z
% 1.86/2.30 end
% 1.86/2.30 permutation0:
% 1.86/2.30 0 ==> 0
% 1.86/2.30 1 ==> 1
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 subsumption: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset
% 1.86/2.30 ( X, Y ) }.
% 1.86/2.30 parent0: (20030) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subset
% 1.86/2.30 ( X, Y ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := X
% 1.86/2.30 Y := Y
% 1.86/2.30 end
% 1.86/2.30 permutation0:
% 1.86/2.30 0 ==> 0
% 1.86/2.30 1 ==> 1
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 subsumption: (23) {G0,W9,D3,L2,V3,M2} I { ! member( X, sum( Y ) ), member(
% 1.86/2.30 skol2( Z, Y ), Y ) }.
% 1.86/2.30 parent0: (20051) {G0,W9,D3,L2,V3,M2} { ! member( X, sum( Y ) ), member(
% 1.86/2.30 skol2( Z, Y ), Y ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := X
% 1.86/2.30 Y := Y
% 1.86/2.30 Z := Z
% 1.86/2.30 end
% 1.86/2.30 permutation0:
% 1.86/2.30 0 ==> 0
% 1.86/2.30 1 ==> 1
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 subsumption: (24) {G0,W9,D3,L2,V2,M2} I { ! member( X, sum( Y ) ), member(
% 1.86/2.30 X, skol2( X, Y ) ) }.
% 1.86/2.30 parent0: (20052) {G0,W9,D3,L2,V2,M2} { ! member( X, sum( Y ) ), member( X
% 1.86/2.30 , skol2( X, Y ) ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := X
% 1.86/2.30 Y := Y
% 1.86/2.30 end
% 1.86/2.30 permutation0:
% 1.86/2.30 0 ==> 0
% 1.86/2.30 1 ==> 1
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 subsumption: (30) {G0,W5,D2,L2,V1,M2} I { ! member( X, on ), alpha1( X )
% 1.86/2.30 }.
% 1.86/2.30 parent0: (20058) {G0,W5,D2,L2,V1,M2} { ! member( X, on ), alpha1( X ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := X
% 1.86/2.30 end
% 1.86/2.30 permutation0:
% 1.86/2.30 0 ==> 0
% 1.86/2.30 1 ==> 1
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 subsumption: (33) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha5( X ) }.
% 1.86/2.30 parent0: (20061) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha5( X ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := X
% 1.86/2.30 end
% 1.86/2.30 permutation0:
% 1.86/2.30 0 ==> 0
% 1.86/2.30 1 ==> 1
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 subsumption: (35) {G0,W8,D2,L3,V2,M3} I { ! alpha5( X ), ! member( Y, X ),
% 1.86/2.30 subset( Y, X ) }.
% 1.86/2.30 parent0: (20063) {G0,W8,D2,L3,V2,M3} { ! alpha5( X ), ! member( Y, X ),
% 1.86/2.30 subset( Y, X ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := X
% 1.86/2.30 Y := Y
% 1.86/2.30 end
% 1.86/2.30 permutation0:
% 1.86/2.30 0 ==> 0
% 1.86/2.30 1 ==> 1
% 1.86/2.30 2 ==> 2
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 subsumption: (92) {G0,W3,D2,L1,V0,M1} I { member( skol10, on ) }.
% 1.86/2.30 parent0: (20120) {G0,W3,D2,L1,V0,M1} { member( skol10, on ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 end
% 1.86/2.30 permutation0:
% 1.86/2.30 0 ==> 0
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 subsumption: (93) {G0,W4,D3,L1,V0,M1} I { ! subset( sum( skol10 ), skol10 )
% 1.86/2.30 }.
% 1.86/2.30 parent0: (20121) {G0,W4,D3,L1,V0,M1} { ! subset( sum( skol10 ), skol10 )
% 1.86/2.30 }.
% 1.86/2.30 substitution0:
% 1.86/2.30 end
% 1.86/2.30 permutation0:
% 1.86/2.30 0 ==> 0
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 resolution: (20225) {G1,W2,D2,L1,V0,M1} { alpha1( skol10 ) }.
% 1.86/2.30 parent0[0]: (30) {G0,W5,D2,L2,V1,M2} I { ! member( X, on ), alpha1( X ) }.
% 1.86/2.30 parent1[0]: (92) {G0,W3,D2,L1,V0,M1} I { member( skol10, on ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := skol10
% 1.86/2.30 end
% 1.86/2.30 substitution1:
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 subsumption: (116) {G1,W2,D2,L1,V0,M1} R(30,92) { alpha1( skol10 ) }.
% 1.86/2.30 parent0: (20225) {G1,W2,D2,L1,V0,M1} { alpha1( skol10 ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 end
% 1.86/2.30 permutation0:
% 1.86/2.30 0 ==> 0
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 resolution: (20226) {G1,W2,D2,L1,V0,M1} { alpha5( skol10 ) }.
% 1.86/2.30 parent0[0]: (33) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha5( X ) }.
% 1.86/2.30 parent1[0]: (116) {G1,W2,D2,L1,V0,M1} R(30,92) { alpha1( skol10 ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := skol10
% 1.86/2.30 end
% 1.86/2.30 substitution1:
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 subsumption: (118) {G2,W2,D2,L1,V0,M1} R(116,33) { alpha5( skol10 ) }.
% 1.86/2.30 parent0: (20226) {G1,W2,D2,L1,V0,M1} { alpha5( skol10 ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 end
% 1.86/2.30 permutation0:
% 1.86/2.30 0 ==> 0
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 resolution: (20227) {G1,W5,D3,L1,V1,M1} { ! member( skol1( X, skol10 ),
% 1.86/2.30 skol10 ) }.
% 1.86/2.30 parent0[0]: (93) {G0,W4,D3,L1,V0,M1} I { ! subset( sum( skol10 ), skol10 )
% 1.86/2.30 }.
% 1.86/2.30 parent1[1]: (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ),
% 1.86/2.30 subset( X, Y ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 end
% 1.86/2.30 substitution1:
% 1.86/2.30 X := sum( skol10 )
% 1.86/2.30 Y := skol10
% 1.86/2.30 Z := X
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 subsumption: (119) {G1,W5,D3,L1,V1,M1} R(1,93) { ! member( skol1( X, skol10
% 1.86/2.30 ), skol10 ) }.
% 1.86/2.30 parent0: (20227) {G1,W5,D3,L1,V1,M1} { ! member( skol1( X, skol10 ),
% 1.86/2.30 skol10 ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := X
% 1.86/2.30 end
% 1.86/2.30 permutation0:
% 1.86/2.30 0 ==> 0
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 resolution: (20228) {G1,W7,D4,L1,V0,M1} { member( skol1( sum( skol10 ),
% 1.86/2.30 skol10 ), sum( skol10 ) ) }.
% 1.86/2.30 parent0[0]: (93) {G0,W4,D3,L1,V0,M1} I { ! subset( sum( skol10 ), skol10 )
% 1.86/2.30 }.
% 1.86/2.30 parent1[1]: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset
% 1.86/2.30 ( X, Y ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 end
% 1.86/2.30 substitution1:
% 1.86/2.30 X := sum( skol10 )
% 1.86/2.30 Y := skol10
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 subsumption: (129) {G1,W7,D4,L1,V0,M1} R(2,93) { member( skol1( sum( skol10
% 1.86/2.30 ), skol10 ), sum( skol10 ) ) }.
% 1.86/2.30 parent0: (20228) {G1,W7,D4,L1,V0,M1} { member( skol1( sum( skol10 ),
% 1.86/2.30 skol10 ), sum( skol10 ) ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 end
% 1.86/2.30 permutation0:
% 1.86/2.30 0 ==> 0
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 resolution: (20229) {G1,W8,D3,L2,V2,M2} { ! subset( Y, skol10 ), ! member
% 1.86/2.30 ( skol1( X, skol10 ), Y ) }.
% 1.86/2.30 parent0[0]: (119) {G1,W5,D3,L1,V1,M1} R(1,93) { ! member( skol1( X, skol10
% 1.86/2.30 ), skol10 ) }.
% 1.86/2.30 parent1[2]: (0) {G0,W9,D2,L3,V3,M3} I { ! subset( X, Y ), ! member( Z, X )
% 1.86/2.30 , member( Z, Y ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := X
% 1.86/2.30 end
% 1.86/2.30 substitution1:
% 1.86/2.30 X := Y
% 1.86/2.30 Y := skol10
% 1.86/2.30 Z := skol1( X, skol10 )
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 subsumption: (138) {G2,W8,D3,L2,V2,M2} R(119,0) { ! subset( X, skol10 ), !
% 1.86/2.30 member( skol1( Y, skol10 ), X ) }.
% 1.86/2.30 parent0: (20229) {G1,W8,D3,L2,V2,M2} { ! subset( Y, skol10 ), ! member(
% 1.86/2.30 skol1( X, skol10 ), Y ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := Y
% 1.86/2.30 Y := X
% 1.86/2.30 end
% 1.86/2.30 permutation0:
% 1.86/2.30 0 ==> 0
% 1.86/2.30 1 ==> 1
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 resolution: (20230) {G1,W6,D2,L2,V1,M2} { ! member( X, skol10 ), subset( X
% 1.86/2.30 , skol10 ) }.
% 1.86/2.30 parent0[0]: (35) {G0,W8,D2,L3,V2,M3} I { ! alpha5( X ), ! member( Y, X ),
% 1.86/2.30 subset( Y, X ) }.
% 1.86/2.30 parent1[0]: (118) {G2,W2,D2,L1,V0,M1} R(116,33) { alpha5( skol10 ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := skol10
% 1.86/2.30 Y := X
% 1.86/2.30 end
% 1.86/2.30 substitution1:
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 subsumption: (2689) {G3,W6,D2,L2,V1,M2} R(35,118) { ! member( X, skol10 ),
% 1.86/2.30 subset( X, skol10 ) }.
% 1.86/2.30 parent0: (20230) {G1,W6,D2,L2,V1,M2} { ! member( X, skol10 ), subset( X,
% 1.86/2.30 skol10 ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := X
% 1.86/2.30 end
% 1.86/2.30 permutation0:
% 1.86/2.30 0 ==> 0
% 1.86/2.30 1 ==> 1
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 resolution: (20231) {G1,W11,D5,L1,V0,M1} { member( skol1( sum( skol10 ),
% 1.86/2.30 skol10 ), skol2( skol1( sum( skol10 ), skol10 ), skol10 ) ) }.
% 1.86/2.30 parent0[0]: (24) {G0,W9,D3,L2,V2,M2} I { ! member( X, sum( Y ) ), member( X
% 1.86/2.30 , skol2( X, Y ) ) }.
% 1.86/2.30 parent1[0]: (129) {G1,W7,D4,L1,V0,M1} R(2,93) { member( skol1( sum( skol10
% 1.86/2.30 ), skol10 ), sum( skol10 ) ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := skol1( sum( skol10 ), skol10 )
% 1.86/2.30 Y := skol10
% 1.86/2.30 end
% 1.86/2.30 substitution1:
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 subsumption: (12634) {G2,W11,D5,L1,V0,M1} R(129,24) { member( skol1( sum(
% 1.86/2.30 skol10 ), skol10 ), skol2( skol1( sum( skol10 ), skol10 ), skol10 ) ) }.
% 1.86/2.30 parent0: (20231) {G1,W11,D5,L1,V0,M1} { member( skol1( sum( skol10 ),
% 1.86/2.30 skol10 ), skol2( skol1( sum( skol10 ), skol10 ), skol10 ) ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 end
% 1.86/2.30 permutation0:
% 1.86/2.30 0 ==> 0
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 resolution: (20232) {G1,W5,D3,L1,V1,M1} { member( skol2( X, skol10 ),
% 1.86/2.30 skol10 ) }.
% 1.86/2.30 parent0[0]: (23) {G0,W9,D3,L2,V3,M2} I { ! member( X, sum( Y ) ), member(
% 1.86/2.30 skol2( Z, Y ), Y ) }.
% 1.86/2.30 parent1[0]: (129) {G1,W7,D4,L1,V0,M1} R(2,93) { member( skol1( sum( skol10
% 1.86/2.30 ), skol10 ), sum( skol10 ) ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := skol1( sum( skol10 ), skol10 )
% 1.86/2.30 Y := skol10
% 1.86/2.30 Z := X
% 1.86/2.30 end
% 1.86/2.30 substitution1:
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 subsumption: (12635) {G2,W5,D3,L1,V1,M1} R(129,23) { member( skol2( X,
% 1.86/2.30 skol10 ), skol10 ) }.
% 1.86/2.30 parent0: (20232) {G1,W5,D3,L1,V1,M1} { member( skol2( X, skol10 ), skol10
% 1.86/2.30 ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := X
% 1.86/2.30 end
% 1.86/2.30 permutation0:
% 1.86/2.30 0 ==> 0
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 resolution: (20233) {G3,W5,D3,L1,V1,M1} { subset( skol2( X, skol10 ),
% 1.86/2.30 skol10 ) }.
% 1.86/2.30 parent0[0]: (2689) {G3,W6,D2,L2,V1,M2} R(35,118) { ! member( X, skol10 ),
% 1.86/2.30 subset( X, skol10 ) }.
% 1.86/2.30 parent1[0]: (12635) {G2,W5,D3,L1,V1,M1} R(129,23) { member( skol2( X,
% 1.86/2.30 skol10 ), skol10 ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := skol2( X, skol10 )
% 1.86/2.30 end
% 1.86/2.30 substitution1:
% 1.86/2.30 X := X
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 subsumption: (12698) {G4,W5,D3,L1,V1,M1} R(12635,2689) { subset( skol2( X,
% 1.86/2.30 skol10 ), skol10 ) }.
% 1.86/2.30 parent0: (20233) {G3,W5,D3,L1,V1,M1} { subset( skol2( X, skol10 ), skol10
% 1.86/2.30 ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := X
% 1.86/2.30 end
% 1.86/2.30 permutation0:
% 1.86/2.30 0 ==> 0
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 resolution: (20234) {G3,W7,D3,L1,V2,M1} { ! member( skol1( Y, skol10 ),
% 1.86/2.30 skol2( X, skol10 ) ) }.
% 1.86/2.30 parent0[0]: (138) {G2,W8,D3,L2,V2,M2} R(119,0) { ! subset( X, skol10 ), !
% 1.86/2.30 member( skol1( Y, skol10 ), X ) }.
% 1.86/2.30 parent1[0]: (12698) {G4,W5,D3,L1,V1,M1} R(12635,2689) { subset( skol2( X,
% 1.86/2.30 skol10 ), skol10 ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := skol2( X, skol10 )
% 1.86/2.30 Y := Y
% 1.86/2.30 end
% 1.86/2.30 substitution1:
% 1.86/2.30 X := X
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 subsumption: (14030) {G5,W7,D3,L1,V2,M1} R(138,12698) { ! member( skol1( X
% 1.86/2.30 , skol10 ), skol2( Y, skol10 ) ) }.
% 1.86/2.30 parent0: (20234) {G3,W7,D3,L1,V2,M1} { ! member( skol1( Y, skol10 ), skol2
% 1.86/2.30 ( X, skol10 ) ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := Y
% 1.86/2.30 Y := X
% 1.86/2.30 end
% 1.86/2.30 permutation0:
% 1.86/2.30 0 ==> 0
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 resolution: (20235) {G3,W0,D0,L0,V0,M0} { }.
% 1.86/2.30 parent0[0]: (14030) {G5,W7,D3,L1,V2,M1} R(138,12698) { ! member( skol1( X,
% 1.86/2.30 skol10 ), skol2( Y, skol10 ) ) }.
% 1.86/2.30 parent1[0]: (12634) {G2,W11,D5,L1,V0,M1} R(129,24) { member( skol1( sum(
% 1.86/2.30 skol10 ), skol10 ), skol2( skol1( sum( skol10 ), skol10 ), skol10 ) ) }.
% 1.86/2.30 substitution0:
% 1.86/2.30 X := sum( skol10 )
% 1.86/2.30 Y := skol1( sum( skol10 ), skol10 )
% 1.86/2.30 end
% 1.86/2.30 substitution1:
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 subsumption: (20026) {G6,W0,D0,L0,V0,M0} S(12634);r(14030) { }.
% 1.86/2.30 parent0: (20235) {G3,W0,D0,L0,V0,M0} { }.
% 1.86/2.30 substitution0:
% 1.86/2.30 end
% 1.86/2.30 permutation0:
% 1.86/2.30 end
% 1.86/2.30
% 1.86/2.30 Proof check complete!
% 1.86/2.30
% 1.86/2.30 Memory use:
% 1.86/2.30
% 1.86/2.30 space for terms: 266313
% 1.86/2.30 space for clauses: 867112
% 1.86/2.30
% 1.86/2.30
% 1.86/2.30 clauses generated: 31246
% 1.86/2.30 clauses kept: 20027
% 1.86/2.30 clauses selected: 683
% 1.86/2.30 clauses deleted: 237
% 1.86/2.30 clauses inuse deleted: 23
% 1.86/2.30
% 1.86/2.30 subsentry: 122124
% 1.86/2.30 literals s-matched: 63443
% 1.86/2.30 literals matched: 58131
% 1.86/2.30 full subsumption: 20055
% 1.86/2.30
% 1.86/2.30 checksum: 409050758
% 1.86/2.30
% 1.86/2.30
% 1.86/2.30 Bliksem ended
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