TSTP Solution File: SET641+3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET641+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 22:51:04 EDT 2022
% Result : Theorem 5.06s 5.50s
% Output : Refutation 5.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET641+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jul 10 08:17:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.68/1.11 *** allocated 10000 integers for termspace/termends
% 0.68/1.11 *** allocated 10000 integers for clauses
% 0.68/1.11 *** allocated 10000 integers for justifications
% 0.68/1.11 Bliksem 1.12
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 Automatic Strategy Selection
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 Clauses:
% 0.68/1.11
% 0.68/1.11 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.68/1.11 subset_type( cross_product( X, Y ) ) ), ilf_type( Z, relation_type( X, Y
% 0.68/1.11 ) ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.68/1.11 relation_type( X, Y ) ), ilf_type( Z, subset_type( cross_product( X, Y )
% 0.68/1.11 ) ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type( skol1( X
% 0.68/1.11 , Y ), relation_type( Y, X ) ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.68/1.11 set_type ), ! member( Z, cross_product( X, Y ) ), ilf_type( skol2( T, U,
% 0.68/1.11 W ), set_type ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.68/1.11 set_type ), ! member( Z, cross_product( X, Y ) ), alpha1( X, Y, Z, skol2
% 0.68/1.11 ( X, Y, Z ) ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.68/1.11 set_type ), ! ilf_type( T, set_type ), ! alpha1( X, Y, Z, T ), member( Z
% 0.68/1.11 , cross_product( X, Y ) ) }.
% 0.68/1.11 { ! alpha1( X, Y, Z, T ), ilf_type( skol3( U, W, V0, V1 ), set_type ) }.
% 0.68/1.11 { ! alpha1( X, Y, Z, T ), alpha8( X, Y, Z, T, skol3( X, Y, Z, T ) ) }.
% 0.68/1.11 { ! ilf_type( U, set_type ), ! alpha8( X, Y, Z, T, U ), alpha1( X, Y, Z, T
% 0.68/1.11 ) }.
% 0.68/1.11 { ! alpha8( X, Y, Z, T, U ), member( T, X ) }.
% 0.68/1.11 { ! alpha8( X, Y, Z, T, U ), alpha5( Y, Z, T, U ) }.
% 0.68/1.11 { ! member( T, X ), ! alpha5( Y, Z, T, U ), alpha8( X, Y, Z, T, U ) }.
% 0.68/1.11 { ! alpha5( X, Y, Z, T ), member( T, X ) }.
% 0.68/1.11 { ! alpha5( X, Y, Z, T ), Y = ordered_pair( Z, T ) }.
% 0.68/1.11 { ! member( T, X ), ! Y = ordered_pair( Z, T ), alpha5( X, Y, Z, T ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type(
% 0.68/1.11 cross_product( X, Y ), set_type ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! subset( X, Y ), !
% 0.68/1.11 ilf_type( Z, set_type ), alpha2( X, Y, Z ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type( skol4( Z
% 0.68/1.11 , T ), set_type ), subset( X, Y ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! alpha2( X, Y,
% 0.68/1.11 skol4( X, Y ) ), subset( X, Y ) }.
% 0.68/1.11 { ! alpha2( X, Y, Z ), ! member( Z, X ), member( Z, Y ) }.
% 0.68/1.11 { member( Z, X ), alpha2( X, Y, Z ) }.
% 0.68/1.11 { ! member( Z, Y ), alpha2( X, Y, Z ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type(
% 0.68/1.11 ordered_pair( X, Y ), set_type ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Y,
% 0.68/1.11 subset_type( X ) ), ilf_type( Y, member_type( power_set( X ) ) ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Y,
% 0.68/1.11 member_type( power_set( X ) ) ), ilf_type( Y, subset_type( X ) ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), ilf_type( skol5( X ), subset_type( X ) ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), subset( X, X ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! member( X,
% 0.68/1.11 power_set( Y ) ), ! ilf_type( Z, set_type ), alpha3( X, Y, Z ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type( skol6( Z
% 0.68/1.11 , T ), set_type ), member( X, power_set( Y ) ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! alpha3( X, Y,
% 0.68/1.11 skol6( X, Y ) ), member( X, power_set( Y ) ) }.
% 0.68/1.11 { ! alpha3( X, Y, Z ), ! member( Z, X ), member( Z, Y ) }.
% 0.68/1.11 { member( Z, X ), alpha3( X, Y, Z ) }.
% 0.68/1.11 { ! member( Z, Y ), alpha3( X, Y, Z ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), ! empty( power_set( X ) ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), ilf_type( power_set( X ), set_type ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), empty( Y ), ! ilf_type( Y, set_type ), !
% 0.68/1.11 ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), empty( Y ), ! ilf_type( Y, set_type ), !
% 0.68/1.11 member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 0.68/1.11 { empty( X ), ! ilf_type( X, set_type ), ilf_type( skol7( X ), member_type
% 0.68/1.11 ( X ) ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), ! empty( X ), ! ilf_type( Y, set_type ), !
% 0.68/1.11 member( Y, X ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), ilf_type( skol8( Y ), set_type ), empty( X ) }
% 0.68/1.11 .
% 0.68/1.11 { ! ilf_type( X, set_type ), member( skol8( X ), X ), empty( X ) }.
% 0.68/1.11 { ! ilf_type( X, set_type ), ! relation_like( X ), ! ilf_type( Y, set_type
% 3.15/3.60 ), alpha6( X, Y ) }.
% 3.15/3.60 { ! ilf_type( X, set_type ), ilf_type( skol9( Y ), set_type ),
% 3.15/3.60 relation_like( X ) }.
% 3.15/3.60 { ! ilf_type( X, set_type ), ! alpha6( X, skol9( X ) ), relation_like( X )
% 3.15/3.60 }.
% 3.15/3.60 { ! alpha6( X, Y ), ! member( Y, X ), alpha4( Y ) }.
% 3.15/3.60 { member( Y, X ), alpha6( X, Y ) }.
% 3.15/3.60 { ! alpha4( Y ), alpha6( X, Y ) }.
% 3.15/3.60 { ! alpha4( X ), ilf_type( skol10( Y ), set_type ) }.
% 3.15/3.60 { ! alpha4( X ), alpha7( X, skol10( X ) ) }.
% 3.15/3.60 { ! ilf_type( Y, set_type ), ! alpha7( X, Y ), alpha4( X ) }.
% 3.15/3.60 { ! alpha7( X, Y ), ilf_type( skol11( Z, T ), set_type ) }.
% 3.15/3.60 { ! alpha7( X, Y ), X = ordered_pair( Y, skol11( X, Y ) ) }.
% 3.15/3.60 { ! ilf_type( Z, set_type ), ! X = ordered_pair( Y, Z ), alpha7( X, Y ) }.
% 3.15/3.60 { ! empty( X ), ! ilf_type( X, set_type ), relation_like( X ) }.
% 3.15/3.60 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 3.15/3.60 subset_type( cross_product( X, Y ) ) ), relation_like( Z ) }.
% 3.15/3.60 { ilf_type( X, set_type ) }.
% 3.15/3.60 { ilf_type( skol12, set_type ) }.
% 3.15/3.60 { ilf_type( skol13, set_type ) }.
% 3.15/3.60 { ilf_type( skol14, set_type ) }.
% 3.15/3.60 { subset( skol12, cross_product( skol13, skol14 ) ) }.
% 3.15/3.60 { ! ilf_type( skol12, relation_type( skol13, skol14 ) ) }.
% 3.15/3.60
% 3.15/3.60 percentage equality = 0.022599, percentage horn = 0.819672
% 3.15/3.60 This is a problem with some equality
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Options Used:
% 3.15/3.60
% 3.15/3.60 useres = 1
% 3.15/3.60 useparamod = 1
% 3.15/3.60 useeqrefl = 1
% 3.15/3.60 useeqfact = 1
% 3.15/3.60 usefactor = 1
% 3.15/3.60 usesimpsplitting = 0
% 3.15/3.60 usesimpdemod = 5
% 3.15/3.60 usesimpres = 3
% 3.15/3.60
% 3.15/3.60 resimpinuse = 1000
% 3.15/3.60 resimpclauses = 20000
% 3.15/3.60 substype = eqrewr
% 3.15/3.60 backwardsubs = 1
% 3.15/3.60 selectoldest = 5
% 3.15/3.60
% 3.15/3.60 litorderings [0] = split
% 3.15/3.60 litorderings [1] = extend the termordering, first sorting on arguments
% 3.15/3.60
% 3.15/3.60 termordering = kbo
% 3.15/3.60
% 3.15/3.60 litapriori = 0
% 3.15/3.60 termapriori = 1
% 3.15/3.60 litaposteriori = 0
% 3.15/3.60 termaposteriori = 0
% 3.15/3.60 demodaposteriori = 0
% 3.15/3.60 ordereqreflfact = 0
% 3.15/3.60
% 3.15/3.60 litselect = negord
% 3.15/3.60
% 3.15/3.60 maxweight = 15
% 3.15/3.60 maxdepth = 30000
% 3.15/3.60 maxlength = 115
% 3.15/3.60 maxnrvars = 195
% 3.15/3.60 excuselevel = 1
% 3.15/3.60 increasemaxweight = 1
% 3.15/3.60
% 3.15/3.60 maxselected = 10000000
% 3.15/3.60 maxnrclauses = 10000000
% 3.15/3.60
% 3.15/3.60 showgenerated = 0
% 3.15/3.60 showkept = 0
% 3.15/3.60 showselected = 0
% 3.15/3.60 showdeleted = 0
% 3.15/3.60 showresimp = 1
% 3.15/3.60 showstatus = 2000
% 3.15/3.60
% 3.15/3.60 prologoutput = 0
% 3.15/3.60 nrgoals = 5000000
% 3.15/3.60 totalproof = 1
% 3.15/3.60
% 3.15/3.60 Symbols occurring in the translation:
% 3.15/3.60
% 3.15/3.60 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.15/3.60 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 3.15/3.60 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 3.15/3.60 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.15/3.60 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.15/3.60 set_type [36, 0] (w:1, o:7, a:1, s:1, b:0),
% 3.15/3.60 ilf_type [37, 2] (w:1, o:55, a:1, s:1, b:0),
% 3.15/3.60 cross_product [40, 2] (w:1, o:56, a:1, s:1, b:0),
% 3.15/3.60 subset_type [41, 1] (w:1, o:21, a:1, s:1, b:0),
% 3.15/3.60 relation_type [42, 2] (w:1, o:57, a:1, s:1, b:0),
% 3.15/3.60 member [44, 2] (w:1, o:58, a:1, s:1, b:0),
% 3.15/3.60 ordered_pair [46, 2] (w:1, o:59, a:1, s:1, b:0),
% 3.15/3.60 subset [47, 2] (w:1, o:60, a:1, s:1, b:0),
% 3.15/3.60 power_set [48, 1] (w:1, o:22, a:1, s:1, b:0),
% 3.15/3.60 member_type [49, 1] (w:1, o:23, a:1, s:1, b:0),
% 3.15/3.60 empty [50, 1] (w:1, o:24, a:1, s:1, b:0),
% 3.15/3.60 relation_like [51, 1] (w:1, o:20, a:1, s:1, b:0),
% 3.15/3.60 alpha1 [52, 4] (w:1, o:70, a:1, s:1, b:1),
% 3.15/3.60 alpha2 [53, 3] (w:1, o:67, a:1, s:1, b:1),
% 3.15/3.60 alpha3 [54, 3] (w:1, o:68, a:1, s:1, b:1),
% 3.15/3.60 alpha4 [55, 1] (w:1, o:25, a:1, s:1, b:1),
% 3.15/3.60 alpha5 [56, 4] (w:1, o:71, a:1, s:1, b:1),
% 3.15/3.60 alpha6 [57, 2] (w:1, o:61, a:1, s:1, b:1),
% 3.15/3.60 alpha7 [58, 2] (w:1, o:62, a:1, s:1, b:1),
% 3.15/3.60 alpha8 [59, 5] (w:1, o:73, a:1, s:1, b:1),
% 3.15/3.60 skol1 [60, 2] (w:1, o:63, a:1, s:1, b:1),
% 3.15/3.60 skol2 [61, 3] (w:1, o:69, a:1, s:1, b:1),
% 3.15/3.60 skol3 [62, 4] (w:1, o:72, a:1, s:1, b:1),
% 3.15/3.60 skol4 [63, 2] (w:1, o:64, a:1, s:1, b:1),
% 3.15/3.60 skol5 [64, 1] (w:1, o:26, a:1, s:1, b:1),
% 3.15/3.60 skol6 [65, 2] (w:1, o:65, a:1, s:1, b:1),
% 3.15/3.60 skol7 [66, 1] (w:1, o:27, a:1, s:1, b:1),
% 3.15/3.60 skol8 [67, 1] (w:1, o:28, a:1, s:1, b:1),
% 3.15/3.60 skol9 [68, 1] (w:1, o:29, a:1, s:1, b:1),
% 3.15/3.60 skol10 [69, 1] (w:1, o:30, a:1, s:1, b:1),
% 3.15/3.60 skol11 [70, 2] (w:1, o:66, a:1, s:1, b:1),
% 3.15/3.60 skol12 [71, 0] (w:1, o:12, a:1, s:1, b:1),
% 5.06/5.50 skol13 [72, 0] (w:1, o:13, a:1, s:1, b:1),
% 5.06/5.50 skol14 [73, 0] (w:1, o:14, a:1, s:1, b:1).
% 5.06/5.50
% 5.06/5.50
% 5.06/5.50 Starting Search:
% 5.06/5.50
% 5.06/5.50 *** allocated 15000 integers for clauses
% 5.06/5.50 *** allocated 22500 integers for clauses
% 5.06/5.50 *** allocated 33750 integers for clauses
% 5.06/5.50 *** allocated 15000 integers for termspace/termends
% 5.06/5.50 *** allocated 50625 integers for clauses
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 *** allocated 22500 integers for termspace/termends
% 5.06/5.50 *** allocated 75937 integers for clauses
% 5.06/5.50 *** allocated 33750 integers for termspace/termends
% 5.06/5.50 *** allocated 113905 integers for clauses
% 5.06/5.50
% 5.06/5.50 Intermediate Status:
% 5.06/5.50 Generated: 3881
% 5.06/5.50 Kept: 2004
% 5.06/5.50 Inuse: 233
% 5.06/5.50 Deleted: 84
% 5.06/5.50 Deletedinuse: 24
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 *** allocated 170857 integers for clauses
% 5.06/5.50 *** allocated 50625 integers for termspace/termends
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 *** allocated 256285 integers for clauses
% 5.06/5.50
% 5.06/5.50 Intermediate Status:
% 5.06/5.50 Generated: 8045
% 5.06/5.50 Kept: 4005
% 5.06/5.50 Inuse: 362
% 5.06/5.50 Deleted: 119
% 5.06/5.50 Deletedinuse: 47
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 *** allocated 75937 integers for termspace/termends
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 *** allocated 113905 integers for termspace/termends
% 5.06/5.50
% 5.06/5.50 Intermediate Status:
% 5.06/5.50 Generated: 15525
% 5.06/5.50 Kept: 6031
% 5.06/5.50 Inuse: 526
% 5.06/5.50 Deleted: 136
% 5.06/5.50 Deletedinuse: 47
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 *** allocated 384427 integers for clauses
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50
% 5.06/5.50 Intermediate Status:
% 5.06/5.50 Generated: 22164
% 5.06/5.50 Kept: 8049
% 5.06/5.50 Inuse: 625
% 5.06/5.50 Deleted: 140
% 5.06/5.50 Deletedinuse: 47
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 *** allocated 170857 integers for termspace/termends
% 5.06/5.50 *** allocated 576640 integers for clauses
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50
% 5.06/5.50 Intermediate Status:
% 5.06/5.50 Generated: 27701
% 5.06/5.50 Kept: 10081
% 5.06/5.50 Inuse: 694
% 5.06/5.50 Deleted: 144
% 5.06/5.50 Deletedinuse: 47
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50
% 5.06/5.50 Intermediate Status:
% 5.06/5.50 Generated: 34163
% 5.06/5.50 Kept: 12085
% 5.06/5.50 Inuse: 756
% 5.06/5.50 Deleted: 150
% 5.06/5.50 Deletedinuse: 53
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 *** allocated 256285 integers for termspace/termends
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 *** allocated 864960 integers for clauses
% 5.06/5.50
% 5.06/5.50 Intermediate Status:
% 5.06/5.50 Generated: 41272
% 5.06/5.50 Kept: 14129
% 5.06/5.50 Inuse: 830
% 5.06/5.50 Deleted: 162
% 5.06/5.50 Deletedinuse: 59
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50
% 5.06/5.50 Intermediate Status:
% 5.06/5.50 Generated: 51940
% 5.06/5.50 Kept: 16186
% 5.06/5.50 Inuse: 970
% 5.06/5.50 Deleted: 179
% 5.06/5.50 Deletedinuse: 60
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50
% 5.06/5.50 Intermediate Status:
% 5.06/5.50 Generated: 59828
% 5.06/5.50 Kept: 18203
% 5.06/5.50 Inuse: 1025
% 5.06/5.50 Deleted: 196
% 5.06/5.50 Deletedinuse: 60
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 *** allocated 384427 integers for termspace/termends
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 Resimplifying clauses:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50
% 5.06/5.50 Intermediate Status:
% 5.06/5.50 Generated: 64050
% 5.06/5.50 Kept: 20307
% 5.06/5.50 Inuse: 1050
% 5.06/5.50 Deleted: 1382
% 5.06/5.50 Deletedinuse: 60
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 *** allocated 1297440 integers for clauses
% 5.06/5.50
% 5.06/5.50 Intermediate Status:
% 5.06/5.50 Generated: 68719
% 5.06/5.50 Kept: 22320
% 5.06/5.50 Inuse: 1074
% 5.06/5.50 Deleted: 1384
% 5.06/5.50 Deletedinuse: 62
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50
% 5.06/5.50 Intermediate Status:
% 5.06/5.50 Generated: 74842
% 5.06/5.50 Kept: 24409
% 5.06/5.50 Inuse: 1112
% 5.06/5.50 Deleted: 1407
% 5.06/5.50 Deletedinuse: 85
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50
% 5.06/5.50 Intermediate Status:
% 5.06/5.50 Generated: 78635
% 5.06/5.50 Kept: 26527
% 5.06/5.50 Inuse: 1125
% 5.06/5.50 Deleted: 1407
% 5.06/5.50 Deletedinuse: 85
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 *** allocated 576640 integers for termspace/termends
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50
% 5.06/5.50 Intermediate Status:
% 5.06/5.50 Generated: 85341
% 5.06/5.50 Kept: 28533
% 5.06/5.50 Inuse: 1153
% 5.06/5.50 Deleted: 1407
% 5.06/5.50 Deletedinuse: 85
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50
% 5.06/5.50 Intermediate Status:
% 5.06/5.50 Generated: 93107
% 5.06/5.50 Kept: 30614
% 5.06/5.50 Inuse: 1187
% 5.06/5.50 Deleted: 1407
% 5.06/5.50 Deletedinuse: 85
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50
% 5.06/5.50 Intermediate Status:
% 5.06/5.50 Generated: 99321
% 5.06/5.50 Kept: 32640
% 5.06/5.50 Inuse: 1210
% 5.06/5.50 Deleted: 1407
% 5.06/5.50 Deletedinuse: 85
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 *** allocated 1946160 integers for clauses
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50
% 5.06/5.50 Intermediate Status:
% 5.06/5.50 Generated: 107460
% 5.06/5.50 Kept: 34644
% 5.06/5.50 Inuse: 1239
% 5.06/5.50 Deleted: 1407
% 5.06/5.50 Deletedinuse: 85
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50
% 5.06/5.50 Intermediate Status:
% 5.06/5.50 Generated: 115232
% 5.06/5.50 Kept: 37010
% 5.06/5.50 Inuse: 1268
% 5.06/5.50 Deleted: 1407
% 5.06/5.50 Deletedinuse: 85
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50
% 5.06/5.50 Intermediate Status:
% 5.06/5.50 Generated: 118753
% 5.06/5.50 Kept: 39055
% 5.06/5.50 Inuse: 1289
% 5.06/5.50 Deleted: 1407
% 5.06/5.50 Deletedinuse: 85
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 Resimplifying clauses:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 *** allocated 864960 integers for termspace/termends
% 5.06/5.50
% 5.06/5.50 Intermediate Status:
% 5.06/5.50 Generated: 126181
% 5.06/5.50 Kept: 41177
% 5.06/5.50 Inuse: 1321
% 5.06/5.50 Deleted: 2874
% 5.06/5.50 Deletedinuse: 85
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50 Resimplifying inuse:
% 5.06/5.50 Done
% 5.06/5.50
% 5.06/5.50
% 5.06/5.50 Intermediate Status:
% 5.06/5.50 Generated: 130700
% 5.06/5.50 Kept: 43211
% 5.06/5.50 Inuse: 1341
% 5.06/5.50 Deleted: 2875
% 5.06/5.50 Deletedinuse: 86
% 5.06/5.50
% 5.06/5.50
% 5.06/5.50 Bliksems!, er is een bewijs:
% 5.06/5.50 % SZS status Theorem
% 5.06/5.50 % SZS output start Refutation
% 5.06/5.50
% 5.06/5.50 (0) {G0,W17,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 5.06/5.50 set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y ) ) ),
% 5.06/5.50 ilf_type( Z, relation_type( X, Y ) ) }.
% 5.06/5.50 (16) {G0,W16,D2,L5,V3,M5} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 5.06/5.50 set_type ), ! subset( X, Y ), ! ilf_type( Z, set_type ), alpha2( X, Y, Z
% 5.06/5.50 ) }.
% 5.06/5.50 (19) {G0,W10,D2,L3,V3,M3} I { ! alpha2( X, Y, Z ), ! member( Z, X ), member
% 5.06/5.50 ( Z, Y ) }.
% 5.06/5.50 (24) {G0,W15,D4,L4,V2,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 5.06/5.50 set_type ), ! ilf_type( Y, member_type( power_set( X ) ) ), ilf_type( Y,
% 5.06/5.50 subset_type( X ) ) }.
% 5.06/5.50 (29) {G0,W16,D3,L4,V2,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 5.06/5.50 set_type ), ! alpha3( X, Y, skol6( X, Y ) ), member( X, power_set( Y ) )
% 5.06/5.50 }.
% 5.06/5.50 (31) {G0,W7,D2,L2,V3,M2} I { member( Z, X ), alpha3( X, Y, Z ) }.
% 5.06/5.50 (32) {G0,W7,D2,L2,V3,M2} I { ! member( Z, Y ), alpha3( X, Y, Z ) }.
% 5.06/5.50 (33) {G0,W6,D3,L2,V1,M2} I { ! ilf_type( X, set_type ), ! empty( power_set
% 5.06/5.50 ( X ) ) }.
% 5.06/5.50 (36) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty( Y ), !
% 5.06/5.50 ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X, member_type( Y )
% 5.06/5.50 ) }.
% 5.06/5.50 (55) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 5.06/5.50 (56) {G0,W5,D3,L1,V0,M1} I { subset( skol12, cross_product( skol13, skol14
% 5.06/5.50 ) ) }.
% 5.06/5.50 (57) {G0,W5,D3,L1,V0,M1} I { ! ilf_type( skol12, relation_type( skol13,
% 5.06/5.50 skol14 ) ) }.
% 5.06/5.50 (91) {G1,W11,D4,L2,V3,M2} S(0);r(55);r(55) { ! ilf_type( Z, subset_type(
% 5.06/5.50 cross_product( X, Y ) ) ), ilf_type( Z, relation_type( X, Y ) ) }.
% 5.06/5.50 (96) {G1,W3,D3,L1,V1,M1} S(33);r(55) { ! empty( power_set( X ) ) }.
% 5.06/5.50 (220) {G1,W7,D2,L2,V3,M2} S(16);r(55);r(55);r(55) { ! subset( X, Y ),
% 5.06/5.50 alpha2( X, Y, Z ) }.
% 5.06/5.50 (221) {G2,W6,D3,L1,V1,M1} R(220,56) { alpha2( skol12, cross_product( skol13
% 5.06/5.50 , skol14 ), X ) }.
% 5.06/5.50 (256) {G3,W8,D3,L2,V1,M2} R(19,221) { ! member( X, skol12 ), member( X,
% 5.06/5.50 cross_product( skol13, skol14 ) ) }.
% 5.06/5.50 (289) {G4,W9,D3,L2,V2,M2} R(256,31) { member( X, cross_product( skol13,
% 5.06/5.50 skol14 ) ), alpha3( skol12, Y, X ) }.
% 5.06/5.50 (422) {G1,W9,D4,L2,V2,M2} S(24);r(55);r(55) { ! ilf_type( Y, member_type(
% 5.06/5.50 power_set( X ) ) ), ilf_type( Y, subset_type( X ) ) }.
% 5.06/5.50 (481) {G1,W10,D3,L2,V2,M2} S(29);r(55);r(55) { ! alpha3( X, Y, skol6( X, Y
% 5.06/5.50 ) ), member( X, power_set( Y ) ) }.
% 5.06/5.50 (594) {G5,W10,D3,L2,V3,M2} R(289,32) { alpha3( skol12, X, Y ), alpha3( Z,
% 5.06/5.50 cross_product( skol13, skol14 ), Y ) }.
% 5.06/5.50 (595) {G6,W6,D3,L1,V1,M1} F(594) { alpha3( skol12, cross_product( skol13,
% 5.06/5.50 skol14 ), X ) }.
% 5.06/5.50 (605) {G1,W9,D3,L3,V2,M3} S(36);r(55);r(55) { empty( Y ), ! member( X, Y )
% 5.06/5.50 , ilf_type( X, member_type( Y ) ) }.
% 5.06/5.50 (2433) {G2,W6,D4,L1,V0,M1} R(91,57) { ! ilf_type( skol12, subset_type(
% 5.06/5.50 cross_product( skol13, skol14 ) ) ) }.
% 5.06/5.50 (29563) {G3,W7,D5,L1,V0,M1} R(422,2433) { ! ilf_type( skol12, member_type(
% 5.06/5.50 power_set( cross_product( skol13, skol14 ) ) ) ) }.
% 5.06/5.50 (41735) {G4,W6,D4,L1,V0,M1} R(605,29563);r(96) { ! member( skol12,
% 5.06/5.50 power_set( cross_product( skol13, skol14 ) ) ) }.
% 5.06/5.50 (43664) {G7,W0,D0,L0,V0,M0} R(481,41735);r(595) { }.
% 5.06/5.50
% 5.06/5.50
% 5.06/5.50 % SZS output end Refutation
% 5.06/5.50 found a proof!
% 5.06/5.50
% 5.06/5.50
% 5.06/5.50 Unprocessed initial clauses:
% 5.06/5.50
% 5.06/5.50 (43666) {G0,W17,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 5.06/5.50 set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y ) ) ),
% 5.06/5.50 ilf_type( Z, relation_type( X, Y ) ) }.
% 5.06/5.50 (43667) {G0,W17,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 5.06/5.50 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type( Z,
% 5.06/5.50 subset_type( cross_product( X, Y ) ) ) }.
% 5.06/5.50 (43668) {G0,W13,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 5.06/5.50 set_type ), ilf_type( skol1( X, Y ), relation_type( Y, X ) ) }.
% 5.06/5.50 (43669) {G0,W20,D3,L5,V6,M5} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 5.06/5.50 set_type ), ! ilf_type( Z, set_type ), ! member( Z, cross_product( X, Y )
% 5.06/5.50 ), ilf_type( skol2( T, U, W ), set_type ) }.
% 5.06/5.50 (43670) {G0,W22,D3,L5,V3,M5} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 5.06/5.50 set_type ), ! ilf_type( Z, set_type ), ! member( Z, cross_product( X, Y )
% 5.06/5.50 ), alpha1( X, Y, Z, skol2( X, Y, Z ) ) }.
% 5.06/5.50 (43671) {G0,W22,D3,L6,V4,M6} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 5.06/5.50 set_type ), ! ilf_type( Z, set_type ), ! ilf_type( T, set_type ), !
% 5.06/5.50 alpha1( X, Y, Z, T ), member( Z, cross_product( X, Y ) ) }.
% 5.06/5.50 (43672) {G0,W12,D3,L2,V8,M2} { ! alpha1( X, Y, Z, T ), ilf_type( skol3( U
% 5.06/5.50 , W, V0, V1 ), set_type ) }.
% 5.06/5.50 (43673) {G0,W15,D3,L2,V4,M2} { ! alpha1( X, Y, Z, T ), alpha8( X, Y, Z, T
% 5.06/5.50 , skol3( X, Y, Z, T ) ) }.
% 5.06/5.50 (43674) {G0,W14,D2,L3,V5,M3} { ! ilf_type( U, set_type ), ! alpha8( X, Y,
% 5.06/5.50 Z, T, U ), alpha1( X, Y, Z, T ) }.
% 5.06/5.50 (43675) {G0,W9,D2,L2,V5,M2} { ! alpha8( X, Y, Z, T, U ), member( T, X )
% 5.06/5.50 }.
% 5.06/5.50 (43676) {G0,W11,D2,L2,V5,M2} { ! alpha8( X, Y, Z, T, U ), alpha5( Y, Z, T
% 5.06/5.50 , U ) }.
% 5.06/5.50 (43677) {G0,W14,D2,L3,V5,M3} { ! member( T, X ), ! alpha5( Y, Z, T, U ),
% 5.06/5.50 alpha8( X, Y, Z, T, U ) }.
% 5.06/5.50 (43678) {G0,W8,D2,L2,V4,M2} { ! alpha5( X, Y, Z, T ), member( T, X ) }.
% 5.06/5.50 (43679) {G0,W10,D3,L2,V4,M2} { ! alpha5( X, Y, Z, T ), Y = ordered_pair( Z
% 5.06/5.50 , T ) }.
% 5.06/5.50 (43680) {G0,W13,D3,L3,V4,M3} { ! member( T, X ), ! Y = ordered_pair( Z, T
% 5.06/5.50 ), alpha5( X, Y, Z, T ) }.
% 5.06/5.50 (43681) {G0,W11,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 5.06/5.50 set_type ), ilf_type( cross_product( X, Y ), set_type ) }.
% 5.06/5.50 (43682) {G0,W16,D2,L5,V3,M5} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 5.06/5.50 set_type ), ! subset( X, Y ), ! ilf_type( Z, set_type ), alpha2( X, Y, Z
% 5.06/5.50 ) }.
% 5.06/5.50 (43683) {G0,W14,D3,L4,V4,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 5.06/5.50 set_type ), ilf_type( skol4( Z, T ), set_type ), subset( X, Y ) }.
% 5.06/5.50 (43684) {G0,W15,D3,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 5.06/5.50 set_type ), ! alpha2( X, Y, skol4( X, Y ) ), subset( X, Y ) }.
% 5.06/5.50 (43685) {G0,W10,D2,L3,V3,M3} { ! alpha2( X, Y, Z ), ! member( Z, X ),
% 5.06/5.50 member( Z, Y ) }.
% 5.06/5.50 (43686) {G0,W7,D2,L2,V3,M2} { member( Z, X ), alpha2( X, Y, Z ) }.
% 5.06/5.50 (43687) {G0,W7,D2,L2,V3,M2} { ! member( Z, Y ), alpha2( X, Y, Z ) }.
% 5.06/5.50 (43688) {G0,W11,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 5.06/5.50 set_type ), ilf_type( ordered_pair( X, Y ), set_type ) }.
% 5.06/5.50 (43689) {G0,W15,D4,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 5.06/5.50 set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y, member_type(
% 5.06/5.50 power_set( X ) ) ) }.
% 5.06/5.50 (43690) {G0,W15,D4,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 5.06/5.50 set_type ), ! ilf_type( Y, member_type( power_set( X ) ) ), ilf_type( Y,
% 5.06/5.50 subset_type( X ) ) }.
% 5.06/5.50 (43691) {G0,W8,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ilf_type( skol5(
% 5.06/5.50 X ), subset_type( X ) ) }.
% 5.06/5.50 (43692) {G0,W6,D2,L2,V1,M2} { ! ilf_type( X, set_type ), subset( X, X )
% 5.06/5.50 }.
% 5.06/5.50 (43693) {G0,W17,D3,L5,V3,M5} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 5.06/5.50 set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z, set_type ),
% 5.06/5.50 alpha3( X, Y, Z ) }.
% 5.06/5.50 (43694) {G0,W15,D3,L4,V4,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 5.06/5.50 set_type ), ilf_type( skol6( Z, T ), set_type ), member( X, power_set( Y
% 5.06/5.50 ) ) }.
% 5.06/5.50 (43695) {G0,W16,D3,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 5.06/5.50 set_type ), ! alpha3( X, Y, skol6( X, Y ) ), member( X, power_set( Y ) )
% 5.06/5.50 }.
% 5.06/5.50 (43696) {G0,W10,D2,L3,V3,M3} { ! alpha3( X, Y, Z ), ! member( Z, X ),
% 5.06/5.50 member( Z, Y ) }.
% 5.06/5.50 (43697) {G0,W7,D2,L2,V3,M2} { member( Z, X ), alpha3( X, Y, Z ) }.
% 5.06/5.50 (43698) {G0,W7,D2,L2,V3,M2} { ! member( Z, Y ), alpha3( X, Y, Z ) }.
% 5.06/5.50 (43699) {G0,W6,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ! empty(
% 5.06/5.50 power_set( X ) ) }.
% 5.06/5.50 (43700) {G0,W7,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ilf_type(
% 5.06/5.50 power_set( X ), set_type ) }.
% 5.06/5.50 (43701) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty( Y ), !
% 5.06/5.50 ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ), member( X, Y
% 5.06/5.50 ) }.
% 5.06/5.50 (43702) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty( Y ), !
% 5.06/5.50 ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X, member_type( Y )
% 5.06/5.50 ) }.
% 5.06/5.50 (43703) {G0,W10,D3,L3,V1,M3} { empty( X ), ! ilf_type( X, set_type ),
% 5.06/5.50 ilf_type( skol7( X ), member_type( X ) ) }.
% 5.06/5.50 (43704) {G0,W11,D2,L4,V2,M4} { ! ilf_type( X, set_type ), ! empty( X ), !
% 5.06/5.50 ilf_type( Y, set_type ), ! member( Y, X ) }.
% 5.06/5.50 (43705) {G0,W9,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ilf_type( skol8(
% 5.06/5.50 Y ), set_type ), empty( X ) }.
% 5.06/5.50 (43706) {G0,W9,D3,L3,V1,M3} { ! ilf_type( X, set_type ), member( skol8( X
% 5.06/5.50 ), X ), empty( X ) }.
% 5.06/5.50 (43707) {G0,W11,D2,L4,V2,M4} { ! ilf_type( X, set_type ), ! relation_like
% 5.06/5.50 ( X ), ! ilf_type( Y, set_type ), alpha6( X, Y ) }.
% 5.06/5.50 (43708) {G0,W9,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ilf_type( skol9(
% 5.06/5.50 Y ), set_type ), relation_like( X ) }.
% 5.06/5.50 (43709) {G0,W9,D3,L3,V1,M3} { ! ilf_type( X, set_type ), ! alpha6( X,
% 5.06/5.50 skol9( X ) ), relation_like( X ) }.
% 5.06/5.50 (43710) {G0,W8,D2,L3,V2,M3} { ! alpha6( X, Y ), ! member( Y, X ), alpha4(
% 5.06/5.50 Y ) }.
% 5.06/5.50 (43711) {G0,W6,D2,L2,V2,M2} { member( Y, X ), alpha6( X, Y ) }.
% 5.06/5.50 (43712) {G0,W5,D2,L2,V2,M2} { ! alpha4( Y ), alpha6( X, Y ) }.
% 5.06/5.50 (43713) {G0,W6,D3,L2,V2,M2} { ! alpha4( X ), ilf_type( skol10( Y ),
% 5.06/5.50 set_type ) }.
% 5.06/5.50 (43714) {G0,W6,D3,L2,V1,M2} { ! alpha4( X ), alpha7( X, skol10( X ) ) }.
% 5.06/5.50 (43715) {G0,W8,D2,L3,V2,M3} { ! ilf_type( Y, set_type ), ! alpha7( X, Y )
% 5.06/5.50 , alpha4( X ) }.
% 5.06/5.50 (43716) {G0,W8,D3,L2,V4,M2} { ! alpha7( X, Y ), ilf_type( skol11( Z, T ),
% 5.06/5.50 set_type ) }.
% 5.06/5.50 (43717) {G0,W10,D4,L2,V2,M2} { ! alpha7( X, Y ), X = ordered_pair( Y,
% 5.06/5.50 skol11( X, Y ) ) }.
% 5.06/5.50 (43718) {G0,W11,D3,L3,V3,M3} { ! ilf_type( Z, set_type ), ! X =
% 5.06/5.50 ordered_pair( Y, Z ), alpha7( X, Y ) }.
% 5.06/5.50 (43719) {G0,W7,D2,L3,V1,M3} { ! empty( X ), ! ilf_type( X, set_type ),
% 5.06/5.50 relation_like( X ) }.
% 5.06/5.50 (43720) {G0,W14,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 5.06/5.50 set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y ) ) ),
% 5.06/5.50 relation_like( Z ) }.
% 5.06/5.50 (43721) {G0,W3,D2,L1,V1,M1} { ilf_type( X, set_type ) }.
% 5.06/5.50 (43722) {G0,W3,D2,L1,V0,M1} { ilf_type( skol12, set_type ) }.
% 5.06/5.50 (43723) {G0,W3,D2,L1,V0,M1} { ilf_type( skol13, set_type ) }.
% 5.06/5.50 (43724) {G0,W3,D2,L1,V0,M1} { ilf_type( skol14, set_type ) }.
% 5.06/5.50 (43725) {G0,W5,D3,L1,V0,M1} { subset( skol12, cross_product( skol13,
% 5.06/5.50 skol14 ) ) }.
% 5.06/5.50 (43726) {G0,W5,D3,L1,V0,M1} { ! ilf_type( skol12, relation_type( skol13,
% 5.06/5.50 skol14 ) ) }.
% 5.06/5.50
% 5.06/5.50
% 5.06/5.50 Total Proof:
% 5.06/5.50
% 5.06/5.50 subsumption: (0) {G0,W17,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 5.06/5.50 ilf_type( Y, set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y
% 5.06/5.50 ) ) ), ilf_type( Z, relation_type( X, Y ) ) }.
% 5.06/5.50 parent0: (43666) {G0,W17,D4,L4,V3,M4} { ! ilf_type( X, set_type ), !
% 5.06/5.50 ilf_type( Y, set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y
% 5.06/5.50 ) ) ), ilf_type( Z, relation_type( X, Y ) ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := X
% 5.06/5.50 Y := Y
% 5.06/5.50 Z := Z
% 5.06/5.50 end
% 5.06/5.50 permutation0:
% 5.06/5.50 0 ==> 0
% 5.06/5.50 1 ==> 1
% 5.06/5.50 2 ==> 2
% 5.06/5.50 3 ==> 3
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 subsumption: (16) {G0,W16,D2,L5,V3,M5} I { ! ilf_type( X, set_type ), !
% 5.06/5.50 ilf_type( Y, set_type ), ! subset( X, Y ), ! ilf_type( Z, set_type ),
% 5.06/5.50 alpha2( X, Y, Z ) }.
% 5.06/5.50 parent0: (43682) {G0,W16,D2,L5,V3,M5} { ! ilf_type( X, set_type ), !
% 5.06/5.50 ilf_type( Y, set_type ), ! subset( X, Y ), ! ilf_type( Z, set_type ),
% 5.06/5.50 alpha2( X, Y, Z ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := X
% 5.06/5.50 Y := Y
% 5.06/5.50 Z := Z
% 5.06/5.50 end
% 5.06/5.50 permutation0:
% 5.06/5.50 0 ==> 0
% 5.06/5.50 1 ==> 1
% 5.06/5.50 2 ==> 2
% 5.06/5.50 3 ==> 3
% 5.06/5.50 4 ==> 4
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 subsumption: (19) {G0,W10,D2,L3,V3,M3} I { ! alpha2( X, Y, Z ), ! member( Z
% 5.06/5.50 , X ), member( Z, Y ) }.
% 5.06/5.50 parent0: (43685) {G0,W10,D2,L3,V3,M3} { ! alpha2( X, Y, Z ), ! member( Z,
% 5.06/5.50 X ), member( Z, Y ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := X
% 5.06/5.50 Y := Y
% 5.06/5.50 Z := Z
% 5.06/5.50 end
% 5.06/5.50 permutation0:
% 5.06/5.50 0 ==> 0
% 5.06/5.50 1 ==> 1
% 5.06/5.50 2 ==> 2
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 subsumption: (24) {G0,W15,D4,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 5.06/5.50 ilf_type( Y, set_type ), ! ilf_type( Y, member_type( power_set( X ) ) ),
% 5.06/5.50 ilf_type( Y, subset_type( X ) ) }.
% 5.06/5.50 parent0: (43690) {G0,W15,D4,L4,V2,M4} { ! ilf_type( X, set_type ), !
% 5.06/5.50 ilf_type( Y, set_type ), ! ilf_type( Y, member_type( power_set( X ) ) ),
% 5.06/5.50 ilf_type( Y, subset_type( X ) ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := X
% 5.06/5.50 Y := Y
% 5.06/5.50 end
% 5.06/5.50 permutation0:
% 5.06/5.50 0 ==> 0
% 5.06/5.50 1 ==> 1
% 5.06/5.50 2 ==> 2
% 5.06/5.50 3 ==> 3
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 subsumption: (29) {G0,W16,D3,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 5.06/5.50 ilf_type( Y, set_type ), ! alpha3( X, Y, skol6( X, Y ) ), member( X,
% 5.06/5.50 power_set( Y ) ) }.
% 5.06/5.50 parent0: (43695) {G0,W16,D3,L4,V2,M4} { ! ilf_type( X, set_type ), !
% 5.06/5.50 ilf_type( Y, set_type ), ! alpha3( X, Y, skol6( X, Y ) ), member( X,
% 5.06/5.50 power_set( Y ) ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := X
% 5.06/5.50 Y := Y
% 5.06/5.50 end
% 5.06/5.50 permutation0:
% 5.06/5.50 0 ==> 0
% 5.06/5.50 1 ==> 1
% 5.06/5.50 2 ==> 2
% 5.06/5.50 3 ==> 3
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 subsumption: (31) {G0,W7,D2,L2,V3,M2} I { member( Z, X ), alpha3( X, Y, Z )
% 5.06/5.50 }.
% 5.06/5.50 parent0: (43697) {G0,W7,D2,L2,V3,M2} { member( Z, X ), alpha3( X, Y, Z )
% 5.06/5.50 }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := X
% 5.06/5.50 Y := Y
% 5.06/5.50 Z := Z
% 5.06/5.50 end
% 5.06/5.50 permutation0:
% 5.06/5.50 0 ==> 0
% 5.06/5.50 1 ==> 1
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 subsumption: (32) {G0,W7,D2,L2,V3,M2} I { ! member( Z, Y ), alpha3( X, Y, Z
% 5.06/5.50 ) }.
% 5.06/5.50 parent0: (43698) {G0,W7,D2,L2,V3,M2} { ! member( Z, Y ), alpha3( X, Y, Z )
% 5.06/5.50 }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := X
% 5.06/5.50 Y := Y
% 5.06/5.50 Z := Z
% 5.06/5.50 end
% 5.06/5.50 permutation0:
% 5.06/5.50 0 ==> 0
% 5.06/5.50 1 ==> 1
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 subsumption: (33) {G0,W6,D3,L2,V1,M2} I { ! ilf_type( X, set_type ), !
% 5.06/5.50 empty( power_set( X ) ) }.
% 5.06/5.50 parent0: (43699) {G0,W6,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ! empty
% 5.06/5.50 ( power_set( X ) ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := X
% 5.06/5.50 end
% 5.06/5.50 permutation0:
% 5.06/5.50 0 ==> 0
% 5.06/5.50 1 ==> 1
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 subsumption: (36) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty
% 5.06/5.50 ( Y ), ! ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X,
% 5.06/5.50 member_type( Y ) ) }.
% 5.06/5.50 parent0: (43702) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty(
% 5.06/5.50 Y ), ! ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X,
% 5.06/5.50 member_type( Y ) ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := X
% 5.06/5.50 Y := Y
% 5.06/5.50 end
% 5.06/5.50 permutation0:
% 5.06/5.50 0 ==> 0
% 5.06/5.50 1 ==> 1
% 5.06/5.50 2 ==> 2
% 5.06/5.50 3 ==> 3
% 5.06/5.50 4 ==> 4
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 subsumption: (55) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 5.06/5.50 parent0: (43721) {G0,W3,D2,L1,V1,M1} { ilf_type( X, set_type ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := X
% 5.06/5.50 end
% 5.06/5.50 permutation0:
% 5.06/5.50 0 ==> 0
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 subsumption: (56) {G0,W5,D3,L1,V0,M1} I { subset( skol12, cross_product(
% 5.06/5.50 skol13, skol14 ) ) }.
% 5.06/5.50 parent0: (43725) {G0,W5,D3,L1,V0,M1} { subset( skol12, cross_product(
% 5.06/5.50 skol13, skol14 ) ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 end
% 5.06/5.50 permutation0:
% 5.06/5.50 0 ==> 0
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 subsumption: (57) {G0,W5,D3,L1,V0,M1} I { ! ilf_type( skol12, relation_type
% 5.06/5.50 ( skol13, skol14 ) ) }.
% 5.06/5.50 parent0: (43726) {G0,W5,D3,L1,V0,M1} { ! ilf_type( skol12, relation_type(
% 5.06/5.50 skol13, skol14 ) ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 end
% 5.06/5.50 permutation0:
% 5.06/5.50 0 ==> 0
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 resolution: (44200) {G1,W14,D4,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 5.06/5.50 ilf_type( Z, subset_type( cross_product( X, Y ) ) ), ilf_type( Z,
% 5.06/5.50 relation_type( X, Y ) ) }.
% 5.06/5.50 parent0[0]: (0) {G0,W17,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 5.06/5.50 ilf_type( Y, set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y
% 5.06/5.50 ) ) ), ilf_type( Z, relation_type( X, Y ) ) }.
% 5.06/5.50 parent1[0]: (55) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := X
% 5.06/5.50 Y := Y
% 5.06/5.50 Z := Z
% 5.06/5.50 end
% 5.06/5.50 substitution1:
% 5.06/5.50 X := X
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 resolution: (44202) {G1,W11,D4,L2,V3,M2} { ! ilf_type( Y, subset_type(
% 5.06/5.50 cross_product( Z, X ) ) ), ilf_type( Y, relation_type( Z, X ) ) }.
% 5.06/5.50 parent0[0]: (44200) {G1,W14,D4,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 5.06/5.50 ilf_type( Z, subset_type( cross_product( X, Y ) ) ), ilf_type( Z,
% 5.06/5.50 relation_type( X, Y ) ) }.
% 5.06/5.50 parent1[0]: (55) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := Z
% 5.06/5.50 Y := X
% 5.06/5.50 Z := Y
% 5.06/5.50 end
% 5.06/5.50 substitution1:
% 5.06/5.50 X := X
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 subsumption: (91) {G1,W11,D4,L2,V3,M2} S(0);r(55);r(55) { ! ilf_type( Z,
% 5.06/5.50 subset_type( cross_product( X, Y ) ) ), ilf_type( Z, relation_type( X, Y
% 5.06/5.50 ) ) }.
% 5.06/5.50 parent0: (44202) {G1,W11,D4,L2,V3,M2} { ! ilf_type( Y, subset_type(
% 5.06/5.50 cross_product( Z, X ) ) ), ilf_type( Y, relation_type( Z, X ) ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := Y
% 5.06/5.50 Y := Z
% 5.06/5.50 Z := X
% 5.06/5.50 end
% 5.06/5.50 permutation0:
% 5.06/5.50 0 ==> 0
% 5.06/5.50 1 ==> 1
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 resolution: (44203) {G1,W3,D3,L1,V1,M1} { ! empty( power_set( X ) ) }.
% 5.06/5.50 parent0[0]: (33) {G0,W6,D3,L2,V1,M2} I { ! ilf_type( X, set_type ), ! empty
% 5.06/5.50 ( power_set( X ) ) }.
% 5.06/5.50 parent1[0]: (55) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := X
% 5.06/5.50 end
% 5.06/5.50 substitution1:
% 5.06/5.50 X := X
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 subsumption: (96) {G1,W3,D3,L1,V1,M1} S(33);r(55) { ! empty( power_set( X )
% 5.06/5.50 ) }.
% 5.06/5.50 parent0: (44203) {G1,W3,D3,L1,V1,M1} { ! empty( power_set( X ) ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := X
% 5.06/5.50 end
% 5.06/5.50 permutation0:
% 5.06/5.50 0 ==> 0
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 resolution: (44221) {G1,W13,D2,L4,V3,M4} { ! ilf_type( Y, set_type ), !
% 5.06/5.50 subset( X, Y ), ! ilf_type( Z, set_type ), alpha2( X, Y, Z ) }.
% 5.06/5.50 parent0[0]: (16) {G0,W16,D2,L5,V3,M5} I { ! ilf_type( X, set_type ), !
% 5.06/5.50 ilf_type( Y, set_type ), ! subset( X, Y ), ! ilf_type( Z, set_type ),
% 5.06/5.50 alpha2( X, Y, Z ) }.
% 5.06/5.50 parent1[0]: (55) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := X
% 5.06/5.50 Y := Y
% 5.06/5.50 Z := Z
% 5.06/5.50 end
% 5.06/5.50 substitution1:
% 5.06/5.50 X := X
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 resolution: (44228) {G1,W10,D2,L3,V3,M3} { ! subset( Y, X ), ! ilf_type( Z
% 5.06/5.50 , set_type ), alpha2( Y, X, Z ) }.
% 5.06/5.50 parent0[0]: (44221) {G1,W13,D2,L4,V3,M4} { ! ilf_type( Y, set_type ), !
% 5.06/5.50 subset( X, Y ), ! ilf_type( Z, set_type ), alpha2( X, Y, Z ) }.
% 5.06/5.50 parent1[0]: (55) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := Y
% 5.06/5.50 Y := X
% 5.06/5.50 Z := Z
% 5.06/5.50 end
% 5.06/5.50 substitution1:
% 5.06/5.50 X := X
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 resolution: (44230) {G1,W7,D2,L2,V3,M2} { ! subset( X, Y ), alpha2( X, Y,
% 5.06/5.50 Z ) }.
% 5.06/5.50 parent0[1]: (44228) {G1,W10,D2,L3,V3,M3} { ! subset( Y, X ), ! ilf_type( Z
% 5.06/5.50 , set_type ), alpha2( Y, X, Z ) }.
% 5.06/5.50 parent1[0]: (55) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := Y
% 5.06/5.50 Y := X
% 5.06/5.50 Z := Z
% 5.06/5.50 end
% 5.06/5.50 substitution1:
% 5.06/5.50 X := Z
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 subsumption: (220) {G1,W7,D2,L2,V3,M2} S(16);r(55);r(55);r(55) { ! subset(
% 5.06/5.50 X, Y ), alpha2( X, Y, Z ) }.
% 5.06/5.50 parent0: (44230) {G1,W7,D2,L2,V3,M2} { ! subset( X, Y ), alpha2( X, Y, Z )
% 5.06/5.50 }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := X
% 5.06/5.50 Y := Y
% 5.06/5.50 Z := Z
% 5.06/5.50 end
% 5.06/5.50 permutation0:
% 5.06/5.50 0 ==> 0
% 5.06/5.50 1 ==> 1
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 resolution: (44231) {G1,W6,D3,L1,V1,M1} { alpha2( skol12, cross_product(
% 5.06/5.50 skol13, skol14 ), X ) }.
% 5.06/5.50 parent0[0]: (220) {G1,W7,D2,L2,V3,M2} S(16);r(55);r(55);r(55) { ! subset( X
% 5.06/5.50 , Y ), alpha2( X, Y, Z ) }.
% 5.06/5.50 parent1[0]: (56) {G0,W5,D3,L1,V0,M1} I { subset( skol12, cross_product(
% 5.06/5.50 skol13, skol14 ) ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := skol12
% 5.06/5.50 Y := cross_product( skol13, skol14 )
% 5.06/5.50 Z := X
% 5.06/5.50 end
% 5.06/5.50 substitution1:
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 subsumption: (221) {G2,W6,D3,L1,V1,M1} R(220,56) { alpha2( skol12,
% 5.06/5.50 cross_product( skol13, skol14 ), X ) }.
% 5.06/5.50 parent0: (44231) {G1,W6,D3,L1,V1,M1} { alpha2( skol12, cross_product(
% 5.06/5.50 skol13, skol14 ), X ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := X
% 5.06/5.50 end
% 5.06/5.50 permutation0:
% 5.06/5.50 0 ==> 0
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 resolution: (44232) {G1,W8,D3,L2,V1,M2} { ! member( X, skol12 ), member( X
% 5.06/5.50 , cross_product( skol13, skol14 ) ) }.
% 5.06/5.50 parent0[0]: (19) {G0,W10,D2,L3,V3,M3} I { ! alpha2( X, Y, Z ), ! member( Z
% 5.06/5.50 , X ), member( Z, Y ) }.
% 5.06/5.50 parent1[0]: (221) {G2,W6,D3,L1,V1,M1} R(220,56) { alpha2( skol12,
% 5.06/5.50 cross_product( skol13, skol14 ), X ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := skol12
% 5.06/5.50 Y := cross_product( skol13, skol14 )
% 5.06/5.50 Z := X
% 5.06/5.50 end
% 5.06/5.50 substitution1:
% 5.06/5.50 X := X
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 subsumption: (256) {G3,W8,D3,L2,V1,M2} R(19,221) { ! member( X, skol12 ),
% 5.06/5.50 member( X, cross_product( skol13, skol14 ) ) }.
% 5.06/5.50 parent0: (44232) {G1,W8,D3,L2,V1,M2} { ! member( X, skol12 ), member( X,
% 5.06/5.50 cross_product( skol13, skol14 ) ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := X
% 5.06/5.50 end
% 5.06/5.50 permutation0:
% 5.06/5.50 0 ==> 0
% 5.06/5.50 1 ==> 1
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 resolution: (44233) {G1,W9,D3,L2,V2,M2} { member( X, cross_product( skol13
% 5.06/5.50 , skol14 ) ), alpha3( skol12, Y, X ) }.
% 5.06/5.50 parent0[0]: (256) {G3,W8,D3,L2,V1,M2} R(19,221) { ! member( X, skol12 ),
% 5.06/5.50 member( X, cross_product( skol13, skol14 ) ) }.
% 5.06/5.50 parent1[0]: (31) {G0,W7,D2,L2,V3,M2} I { member( Z, X ), alpha3( X, Y, Z )
% 5.06/5.50 }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := X
% 5.06/5.50 end
% 5.06/5.50 substitution1:
% 5.06/5.50 X := skol12
% 5.06/5.50 Y := Y
% 5.06/5.50 Z := X
% 5.06/5.50 end
% 5.06/5.50
% 5.06/5.50 subsumption: (289) {G4,W9,D3,L2,V2,M2} R(256,31) { member( X, cross_product
% 5.06/5.50 ( skol13, skol14 ) ), alpha3( skol12, Y, X ) }.
% 5.06/5.50 parent0: (44233) {G1,W9,D3,L2,V2,M2} { member( X, cross_product( skol13,
% 5.06/5.50 skol14 ) ), alpha3( skol12, Y, X ) }.
% 5.06/5.50 substitution0:
% 5.06/5.50 X := X
% 5.06/5.50 Y := Y
% 5.06/5.50 end
% 5.06/5.50 permutation0:
% 5.06/5.50 0 ==> 0
% 5.06/5.50 1 ==> 1
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 resolution: (44236) {G1,W12,D4,L3,V2,M3} { ! ilf_type( Y, set_type ), !
% 5.06/5.51 ilf_type( Y, member_type( power_set( X ) ) ), ilf_type( Y, subset_type( X
% 5.06/5.51 ) ) }.
% 5.06/5.51 parent0[0]: (24) {G0,W15,D4,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 5.06/5.51 ilf_type( Y, set_type ), ! ilf_type( Y, member_type( power_set( X ) ) ),
% 5.06/5.51 ilf_type( Y, subset_type( X ) ) }.
% 5.06/5.51 parent1[0]: (55) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 5.06/5.51 substitution0:
% 5.06/5.51 X := X
% 5.06/5.51 Y := Y
% 5.06/5.51 end
% 5.06/5.51 substitution1:
% 5.06/5.51 X := X
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 resolution: (44238) {G1,W9,D4,L2,V2,M2} { ! ilf_type( X, member_type(
% 5.06/5.51 power_set( Y ) ) ), ilf_type( X, subset_type( Y ) ) }.
% 5.06/5.51 parent0[0]: (44236) {G1,W12,D4,L3,V2,M3} { ! ilf_type( Y, set_type ), !
% 5.06/5.51 ilf_type( Y, member_type( power_set( X ) ) ), ilf_type( Y, subset_type( X
% 5.06/5.51 ) ) }.
% 5.06/5.51 parent1[0]: (55) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 5.06/5.51 substitution0:
% 5.06/5.51 X := Y
% 5.06/5.51 Y := X
% 5.06/5.51 end
% 5.06/5.51 substitution1:
% 5.06/5.51 X := X
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 subsumption: (422) {G1,W9,D4,L2,V2,M2} S(24);r(55);r(55) { ! ilf_type( Y,
% 5.06/5.51 member_type( power_set( X ) ) ), ilf_type( Y, subset_type( X ) ) }.
% 5.06/5.51 parent0: (44238) {G1,W9,D4,L2,V2,M2} { ! ilf_type( X, member_type(
% 5.06/5.51 power_set( Y ) ) ), ilf_type( X, subset_type( Y ) ) }.
% 5.06/5.51 substitution0:
% 5.06/5.51 X := Y
% 5.06/5.51 Y := X
% 5.06/5.51 end
% 5.06/5.51 permutation0:
% 5.06/5.51 0 ==> 0
% 5.06/5.51 1 ==> 1
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 resolution: (44241) {G1,W13,D3,L3,V2,M3} { ! ilf_type( Y, set_type ), !
% 5.06/5.51 alpha3( X, Y, skol6( X, Y ) ), member( X, power_set( Y ) ) }.
% 5.06/5.51 parent0[0]: (29) {G0,W16,D3,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 5.06/5.51 ilf_type( Y, set_type ), ! alpha3( X, Y, skol6( X, Y ) ), member( X,
% 5.06/5.51 power_set( Y ) ) }.
% 5.06/5.51 parent1[0]: (55) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 5.06/5.51 substitution0:
% 5.06/5.51 X := X
% 5.06/5.51 Y := Y
% 5.06/5.51 end
% 5.06/5.51 substitution1:
% 5.06/5.51 X := X
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 resolution: (44243) {G1,W10,D3,L2,V2,M2} { ! alpha3( Y, X, skol6( Y, X ) )
% 5.06/5.51 , member( Y, power_set( X ) ) }.
% 5.06/5.51 parent0[0]: (44241) {G1,W13,D3,L3,V2,M3} { ! ilf_type( Y, set_type ), !
% 5.06/5.51 alpha3( X, Y, skol6( X, Y ) ), member( X, power_set( Y ) ) }.
% 5.06/5.51 parent1[0]: (55) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 5.06/5.51 substitution0:
% 5.06/5.51 X := Y
% 5.06/5.51 Y := X
% 5.06/5.51 end
% 5.06/5.51 substitution1:
% 5.06/5.51 X := X
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 subsumption: (481) {G1,W10,D3,L2,V2,M2} S(29);r(55);r(55) { ! alpha3( X, Y
% 5.06/5.51 , skol6( X, Y ) ), member( X, power_set( Y ) ) }.
% 5.06/5.51 parent0: (44243) {G1,W10,D3,L2,V2,M2} { ! alpha3( Y, X, skol6( Y, X ) ),
% 5.06/5.51 member( Y, power_set( X ) ) }.
% 5.06/5.51 substitution0:
% 5.06/5.51 X := Y
% 5.06/5.51 Y := X
% 5.06/5.51 end
% 5.06/5.51 permutation0:
% 5.06/5.51 0 ==> 0
% 5.06/5.51 1 ==> 1
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 resolution: (44244) {G1,W10,D3,L2,V3,M2} { alpha3( Y, cross_product(
% 5.06/5.51 skol13, skol14 ), X ), alpha3( skol12, Z, X ) }.
% 5.06/5.51 parent0[0]: (32) {G0,W7,D2,L2,V3,M2} I { ! member( Z, Y ), alpha3( X, Y, Z
% 5.06/5.51 ) }.
% 5.06/5.51 parent1[0]: (289) {G4,W9,D3,L2,V2,M2} R(256,31) { member( X, cross_product
% 5.06/5.51 ( skol13, skol14 ) ), alpha3( skol12, Y, X ) }.
% 5.06/5.51 substitution0:
% 5.06/5.51 X := Y
% 5.06/5.51 Y := cross_product( skol13, skol14 )
% 5.06/5.51 Z := X
% 5.06/5.51 end
% 5.06/5.51 substitution1:
% 5.06/5.51 X := X
% 5.06/5.51 Y := Z
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 subsumption: (594) {G5,W10,D3,L2,V3,M2} R(289,32) { alpha3( skol12, X, Y )
% 5.06/5.51 , alpha3( Z, cross_product( skol13, skol14 ), Y ) }.
% 5.06/5.51 parent0: (44244) {G1,W10,D3,L2,V3,M2} { alpha3( Y, cross_product( skol13,
% 5.06/5.51 skol14 ), X ), alpha3( skol12, Z, X ) }.
% 5.06/5.51 substitution0:
% 5.06/5.51 X := Y
% 5.06/5.51 Y := Z
% 5.06/5.51 Z := X
% 5.06/5.51 end
% 5.06/5.51 permutation0:
% 5.06/5.51 0 ==> 1
% 5.06/5.51 1 ==> 0
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 factor: (44246) {G5,W6,D3,L1,V1,M1} { alpha3( skol12, cross_product(
% 5.06/5.51 skol13, skol14 ), X ) }.
% 5.06/5.51 parent0[0, 1]: (594) {G5,W10,D3,L2,V3,M2} R(289,32) { alpha3( skol12, X, Y
% 5.06/5.51 ), alpha3( Z, cross_product( skol13, skol14 ), Y ) }.
% 5.06/5.51 substitution0:
% 5.06/5.51 X := cross_product( skol13, skol14 )
% 5.06/5.51 Y := X
% 5.06/5.51 Z := skol12
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 subsumption: (595) {G6,W6,D3,L1,V1,M1} F(594) { alpha3( skol12,
% 5.06/5.51 cross_product( skol13, skol14 ), X ) }.
% 5.06/5.51 parent0: (44246) {G5,W6,D3,L1,V1,M1} { alpha3( skol12, cross_product(
% 5.06/5.51 skol13, skol14 ), X ) }.
% 5.06/5.51 substitution0:
% 5.06/5.51 X := X
% 5.06/5.51 end
% 5.06/5.51 permutation0:
% 5.06/5.51 0 ==> 0
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 resolution: (44249) {G1,W12,D3,L4,V2,M4} { empty( Y ), ! ilf_type( Y,
% 5.06/5.51 set_type ), ! member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 5.06/5.51 parent0[0]: (36) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty
% 5.06/5.51 ( Y ), ! ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X,
% 5.06/5.51 member_type( Y ) ) }.
% 5.06/5.51 parent1[0]: (55) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 5.06/5.51 substitution0:
% 5.06/5.51 X := X
% 5.06/5.51 Y := Y
% 5.06/5.51 end
% 5.06/5.51 substitution1:
% 5.06/5.51 X := X
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 resolution: (44251) {G1,W9,D3,L3,V2,M3} { empty( X ), ! member( Y, X ),
% 5.06/5.51 ilf_type( Y, member_type( X ) ) }.
% 5.06/5.51 parent0[1]: (44249) {G1,W12,D3,L4,V2,M4} { empty( Y ), ! ilf_type( Y,
% 5.06/5.51 set_type ), ! member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 5.06/5.51 parent1[0]: (55) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 5.06/5.51 substitution0:
% 5.06/5.51 X := Y
% 5.06/5.51 Y := X
% 5.06/5.51 end
% 5.06/5.51 substitution1:
% 5.06/5.51 X := X
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 subsumption: (605) {G1,W9,D3,L3,V2,M3} S(36);r(55);r(55) { empty( Y ), !
% 5.06/5.51 member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 5.06/5.51 parent0: (44251) {G1,W9,D3,L3,V2,M3} { empty( X ), ! member( Y, X ),
% 5.06/5.51 ilf_type( Y, member_type( X ) ) }.
% 5.06/5.51 substitution0:
% 5.06/5.51 X := Y
% 5.06/5.51 Y := X
% 5.06/5.51 end
% 5.06/5.51 permutation0:
% 5.06/5.51 0 ==> 0
% 5.06/5.51 1 ==> 1
% 5.06/5.51 2 ==> 2
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 resolution: (44252) {G1,W6,D4,L1,V0,M1} { ! ilf_type( skol12, subset_type
% 5.06/5.51 ( cross_product( skol13, skol14 ) ) ) }.
% 5.06/5.51 parent0[0]: (57) {G0,W5,D3,L1,V0,M1} I { ! ilf_type( skol12, relation_type
% 5.06/5.51 ( skol13, skol14 ) ) }.
% 5.06/5.51 parent1[1]: (91) {G1,W11,D4,L2,V3,M2} S(0);r(55);r(55) { ! ilf_type( Z,
% 5.06/5.51 subset_type( cross_product( X, Y ) ) ), ilf_type( Z, relation_type( X, Y
% 5.06/5.51 ) ) }.
% 5.06/5.51 substitution0:
% 5.06/5.51 end
% 5.06/5.51 substitution1:
% 5.06/5.51 X := skol13
% 5.06/5.51 Y := skol14
% 5.06/5.51 Z := skol12
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 subsumption: (2433) {G2,W6,D4,L1,V0,M1} R(91,57) { ! ilf_type( skol12,
% 5.06/5.51 subset_type( cross_product( skol13, skol14 ) ) ) }.
% 5.06/5.51 parent0: (44252) {G1,W6,D4,L1,V0,M1} { ! ilf_type( skol12, subset_type(
% 5.06/5.51 cross_product( skol13, skol14 ) ) ) }.
% 5.06/5.51 substitution0:
% 5.06/5.51 end
% 5.06/5.51 permutation0:
% 5.06/5.51 0 ==> 0
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 resolution: (44253) {G2,W7,D5,L1,V0,M1} { ! ilf_type( skol12, member_type
% 5.06/5.51 ( power_set( cross_product( skol13, skol14 ) ) ) ) }.
% 5.06/5.51 parent0[0]: (2433) {G2,W6,D4,L1,V0,M1} R(91,57) { ! ilf_type( skol12,
% 5.06/5.51 subset_type( cross_product( skol13, skol14 ) ) ) }.
% 5.06/5.51 parent1[1]: (422) {G1,W9,D4,L2,V2,M2} S(24);r(55);r(55) { ! ilf_type( Y,
% 5.06/5.51 member_type( power_set( X ) ) ), ilf_type( Y, subset_type( X ) ) }.
% 5.06/5.51 substitution0:
% 5.06/5.51 end
% 5.06/5.51 substitution1:
% 5.06/5.51 X := cross_product( skol13, skol14 )
% 5.06/5.51 Y := skol12
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 subsumption: (29563) {G3,W7,D5,L1,V0,M1} R(422,2433) { ! ilf_type( skol12,
% 5.06/5.51 member_type( power_set( cross_product( skol13, skol14 ) ) ) ) }.
% 5.06/5.51 parent0: (44253) {G2,W7,D5,L1,V0,M1} { ! ilf_type( skol12, member_type(
% 5.06/5.51 power_set( cross_product( skol13, skol14 ) ) ) ) }.
% 5.06/5.51 substitution0:
% 5.06/5.51 end
% 5.06/5.51 permutation0:
% 5.06/5.51 0 ==> 0
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 resolution: (44254) {G2,W11,D4,L2,V0,M2} { empty( power_set( cross_product
% 5.06/5.51 ( skol13, skol14 ) ) ), ! member( skol12, power_set( cross_product(
% 5.06/5.51 skol13, skol14 ) ) ) }.
% 5.06/5.51 parent0[0]: (29563) {G3,W7,D5,L1,V0,M1} R(422,2433) { ! ilf_type( skol12,
% 5.06/5.51 member_type( power_set( cross_product( skol13, skol14 ) ) ) ) }.
% 5.06/5.51 parent1[2]: (605) {G1,W9,D3,L3,V2,M3} S(36);r(55);r(55) { empty( Y ), !
% 5.06/5.51 member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 5.06/5.51 substitution0:
% 5.06/5.51 end
% 5.06/5.51 substitution1:
% 5.06/5.51 X := skol12
% 5.06/5.51 Y := power_set( cross_product( skol13, skol14 ) )
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 resolution: (44255) {G2,W6,D4,L1,V0,M1} { ! member( skol12, power_set(
% 5.06/5.51 cross_product( skol13, skol14 ) ) ) }.
% 5.06/5.51 parent0[0]: (96) {G1,W3,D3,L1,V1,M1} S(33);r(55) { ! empty( power_set( X )
% 5.06/5.51 ) }.
% 5.06/5.51 parent1[0]: (44254) {G2,W11,D4,L2,V0,M2} { empty( power_set( cross_product
% 5.06/5.51 ( skol13, skol14 ) ) ), ! member( skol12, power_set( cross_product(
% 5.06/5.51 skol13, skol14 ) ) ) }.
% 5.06/5.51 substitution0:
% 5.06/5.51 X := cross_product( skol13, skol14 )
% 5.06/5.51 end
% 5.06/5.51 substitution1:
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 subsumption: (41735) {G4,W6,D4,L1,V0,M1} R(605,29563);r(96) { ! member(
% 5.06/5.51 skol12, power_set( cross_product( skol13, skol14 ) ) ) }.
% 5.06/5.51 parent0: (44255) {G2,W6,D4,L1,V0,M1} { ! member( skol12, power_set(
% 5.06/5.51 cross_product( skol13, skol14 ) ) ) }.
% 5.06/5.51 substitution0:
% 5.06/5.51 end
% 5.06/5.51 permutation0:
% 5.06/5.51 0 ==> 0
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 resolution: (44256) {G2,W10,D4,L1,V0,M1} { ! alpha3( skol12, cross_product
% 5.06/5.51 ( skol13, skol14 ), skol6( skol12, cross_product( skol13, skol14 ) ) )
% 5.06/5.51 }.
% 5.06/5.51 parent0[0]: (41735) {G4,W6,D4,L1,V0,M1} R(605,29563);r(96) { ! member(
% 5.06/5.51 skol12, power_set( cross_product( skol13, skol14 ) ) ) }.
% 5.06/5.51 parent1[1]: (481) {G1,W10,D3,L2,V2,M2} S(29);r(55);r(55) { ! alpha3( X, Y,
% 5.06/5.51 skol6( X, Y ) ), member( X, power_set( Y ) ) }.
% 5.06/5.51 substitution0:
% 5.06/5.51 end
% 5.06/5.51 substitution1:
% 5.06/5.51 X := skol12
% 5.06/5.51 Y := cross_product( skol13, skol14 )
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 resolution: (44257) {G3,W0,D0,L0,V0,M0} { }.
% 5.06/5.51 parent0[0]: (44256) {G2,W10,D4,L1,V0,M1} { ! alpha3( skol12, cross_product
% 5.06/5.51 ( skol13, skol14 ), skol6( skol12, cross_product( skol13, skol14 ) ) )
% 5.06/5.51 }.
% 5.06/5.51 parent1[0]: (595) {G6,W6,D3,L1,V1,M1} F(594) { alpha3( skol12,
% 5.06/5.51 cross_product( skol13, skol14 ), X ) }.
% 5.06/5.51 substitution0:
% 5.06/5.51 end
% 5.06/5.51 substitution1:
% 5.06/5.51 X := skol6( skol12, cross_product( skol13, skol14 ) )
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 subsumption: (43664) {G7,W0,D0,L0,V0,M0} R(481,41735);r(595) { }.
% 5.06/5.51 parent0: (44257) {G3,W0,D0,L0,V0,M0} { }.
% 5.06/5.51 substitution0:
% 5.06/5.51 end
% 5.06/5.51 permutation0:
% 5.06/5.51 end
% 5.06/5.51
% 5.06/5.51 Proof check complete!
% 5.06/5.51
% 5.06/5.51 Memory use:
% 5.06/5.51
% 5.06/5.51 space for terms: 619704
% 5.06/5.51 space for clauses: 1678670
% 5.06/5.51
% 5.06/5.51
% 5.06/5.51 clauses generated: 132716
% 5.06/5.51 clauses kept: 43665
% 5.06/5.51 clauses selected: 1356
% 5.06/5.51 clauses deleted: 2875
% 5.06/5.51 clauses inuse deleted: 86
% 5.06/5.51
% 5.06/5.51 subsentry: 1188030
% 5.06/5.51 literals s-matched: 942755
% 5.06/5.51 literals matched: 920293
% 5.06/5.51 full subsumption: 84463
% 5.06/5.51
% 5.06/5.51 checksum: 77061278
% 5.06/5.51
% 5.06/5.51
% 5.06/5.51 Bliksem ended
%------------------------------------------------------------------------------