TSTP Solution File: SET658+3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET658+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 22:51:12 EDT 2022
% Result : Theorem 0.82s 1.20s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SET658+3 : TPTP v8.1.0. Released v2.2.0.
% 0.15/0.15 % Command : bliksem %s
% 0.15/0.37 % Computer : n017.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % DateTime : Sat Jul 9 20:16:32 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.78/1.18 *** allocated 10000 integers for termspace/termends
% 0.78/1.18 *** allocated 10000 integers for clauses
% 0.78/1.18 *** allocated 10000 integers for justifications
% 0.78/1.18 Bliksem 1.12
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 Automatic Strategy Selection
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 Clauses:
% 0.78/1.18
% 0.78/1.18 { ! ilf_type( X, set_type ), ! ilf_type( Y, binary_relation_type ), !
% 0.78/1.18 subset( domain_of( Y ), X ), ilf_type( Y, relation_type( X, range_of( Y )
% 0.78/1.18 ) ) }.
% 0.78/1.18 { ! ilf_type( X, binary_relation_type ), ! ilf_type( Y, set_type ), !
% 0.78/1.18 member( Y, domain_of( X ) ), ilf_type( skol1( Z, T ), set_type ) }.
% 0.78/1.18 { ! ilf_type( X, binary_relation_type ), ! ilf_type( Y, set_type ), !
% 0.78/1.18 member( Y, domain_of( X ) ), member( ordered_pair( Y, skol1( X, Y ) ), X
% 0.78/1.18 ) }.
% 0.78/1.18 { ! ilf_type( X, binary_relation_type ), ! ilf_type( Y, set_type ), !
% 0.78/1.18 ilf_type( Z, set_type ), ! member( ordered_pair( Y, Z ), X ), member( Y,
% 0.78/1.18 domain_of( X ) ) }.
% 0.78/1.18 { ! ilf_type( X, binary_relation_type ), ilf_type( domain_of( X ), set_type
% 0.78/1.18 ) }.
% 0.78/1.18 { ! ilf_type( X, binary_relation_type ), ! ilf_type( Y, set_type ), !
% 0.78/1.18 member( Y, range_of( X ) ), ilf_type( skol2( Z, T ), set_type ) }.
% 0.78/1.18 { ! ilf_type( X, binary_relation_type ), ! ilf_type( Y, set_type ), !
% 0.78/1.18 member( Y, range_of( X ) ), member( ordered_pair( skol2( X, Y ), Y ), X )
% 0.78/1.18 }.
% 0.78/1.18 { ! ilf_type( X, binary_relation_type ), ! ilf_type( Y, set_type ), !
% 0.78/1.18 ilf_type( Z, set_type ), ! member( ordered_pair( Z, Y ), X ), member( Y,
% 0.78/1.18 range_of( X ) ) }.
% 0.78/1.18 { ! ilf_type( X, binary_relation_type ), ilf_type( range_of( X ), set_type
% 0.78/1.18 ) }.
% 0.78/1.18 { ! ilf_type( X, set_type ), ! ilf_type( X, binary_relation_type ),
% 0.78/1.18 relation_like( X ) }.
% 0.78/1.18 { ! ilf_type( X, set_type ), ! ilf_type( X, binary_relation_type ),
% 0.78/1.18 ilf_type( X, set_type ) }.
% 0.78/1.18 { ! ilf_type( X, set_type ), ! relation_like( X ), ! ilf_type( X, set_type
% 0.78/1.18 ), ilf_type( X, binary_relation_type ) }.
% 0.78/1.18 { ilf_type( skol3, binary_relation_type ) }.
% 0.78/1.18 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.78/1.18 subset_type( cross_product( X, Y ) ) ), ilf_type( Z, relation_type( X, Y
% 0.78/1.18 ) ) }.
% 0.78/1.18 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.78/1.18 relation_type( X, Y ) ), ilf_type( Z, subset_type( cross_product( X, Y )
% 0.78/1.18 ) ) }.
% 0.78/1.18 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type( skol4( X
% 0.78/1.18 , Y ), relation_type( Y, X ) ) }.
% 0.78/1.18 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type(
% 0.78/1.18 cross_product( X, Y ), set_type ) }.
% 0.78/1.18 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type(
% 0.78/1.18 ordered_pair( X, Y ), set_type ) }.
% 0.78/1.18 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Y,
% 0.78/1.18 subset_type( X ) ), ilf_type( Y, member_type( power_set( X ) ) ) }.
% 0.78/1.18 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Y,
% 0.78/1.18 member_type( power_set( X ) ) ), ilf_type( Y, subset_type( X ) ) }.
% 0.78/1.18 { ! ilf_type( X, set_type ), ilf_type( skol5( X ), subset_type( X ) ) }.
% 0.78/1.18 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! subset( X, Y ), !
% 0.78/1.18 ilf_type( Z, set_type ), alpha1( X, Y, Z ) }.
% 0.78/1.18 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type( skol6( Z
% 0.78/1.18 , T ), set_type ), subset( X, Y ) }.
% 0.78/1.18 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! alpha1( X, Y,
% 0.78/1.18 skol6( X, Y ) ), subset( X, Y ) }.
% 0.78/1.18 { ! alpha1( X, Y, Z ), ! member( Z, X ), member( Z, Y ) }.
% 0.78/1.18 { member( Z, X ), alpha1( X, Y, Z ) }.
% 0.78/1.18 { ! member( Z, Y ), alpha1( X, Y, Z ) }.
% 0.78/1.18 { ! ilf_type( X, set_type ), subset( X, X ) }.
% 0.78/1.18 { ! ilf_type( X, set_type ), ! relation_like( X ), ! ilf_type( Y, set_type
% 0.78/1.18 ), alpha4( X, Y ) }.
% 0.78/1.18 { ! ilf_type( X, set_type ), ilf_type( skol7( Y ), set_type ),
% 0.78/1.18 relation_like( X ) }.
% 0.78/1.18 { ! ilf_type( X, set_type ), ! alpha4( X, skol7( X ) ), relation_like( X )
% 0.78/1.18 }.
% 0.78/1.18 { ! alpha4( X, Y ), ! member( Y, X ), alpha2( Y ) }.
% 0.78/1.18 { member( Y, X ), alpha4( X, Y ) }.
% 0.78/1.18 { ! alpha2( Y ), alpha4( X, Y ) }.
% 0.78/1.18 { ! alpha2( X ), ilf_type( skol8( Y ), set_type ) }.
% 0.78/1.18 { ! alpha2( X ), alpha5( X, skol8( X ) ) }.
% 0.78/1.18 { ! ilf_type( Y, set_type ), ! alpha5( X, Y ), alpha2( X ) }.
% 0.78/1.18 { ! alpha5( X, Y ), ilf_type( skol9( Z, T ), set_type ) }.
% 0.78/1.18 { ! alpha5( X, Y ), X = ordered_pair( Y, skol9( X, Y ) ) }.
% 0.78/1.18 { ! ilf_type( Z, set_type ), ! X = ordered_pair( Y, Z ), alpha5( X, Y ) }.
% 0.78/1.18 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.82/1.20 subset_type( cross_product( X, Y ) ) ), relation_like( Z ) }.
% 0.82/1.20 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! member( X,
% 0.82/1.20 power_set( Y ) ), ! ilf_type( Z, set_type ), alpha3( X, Y, Z ) }.
% 0.82/1.20 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type( skol10( Z
% 0.82/1.20 , T ), set_type ), member( X, power_set( Y ) ) }.
% 0.82/1.20 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! alpha3( X, Y,
% 0.82/1.20 skol10( X, Y ) ), member( X, power_set( Y ) ) }.
% 0.82/1.20 { ! alpha3( X, Y, Z ), ! member( Z, X ), member( Z, Y ) }.
% 0.82/1.20 { member( Z, X ), alpha3( X, Y, Z ) }.
% 0.82/1.20 { ! member( Z, Y ), alpha3( X, Y, Z ) }.
% 0.82/1.20 { ! ilf_type( X, set_type ), ! empty( power_set( X ) ) }.
% 0.82/1.20 { ! ilf_type( X, set_type ), ilf_type( power_set( X ), set_type ) }.
% 0.82/1.20 { ! ilf_type( X, set_type ), empty( Y ), ! ilf_type( Y, set_type ), !
% 0.82/1.20 ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 0.82/1.20 { ! ilf_type( X, set_type ), empty( Y ), ! ilf_type( Y, set_type ), !
% 0.82/1.20 member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 0.82/1.20 { empty( X ), ! ilf_type( X, set_type ), ilf_type( skol11( X ), member_type
% 0.82/1.20 ( X ) ) }.
% 0.82/1.20 { ! ilf_type( X, set_type ), ! empty( X ), ! ilf_type( Y, set_type ), !
% 0.82/1.20 member( Y, X ) }.
% 0.82/1.20 { ! ilf_type( X, set_type ), ilf_type( skol12( Y ), set_type ), empty( X )
% 0.82/1.20 }.
% 0.82/1.20 { ! ilf_type( X, set_type ), member( skol12( X ), X ), empty( X ) }.
% 0.82/1.20 { ! empty( X ), ! ilf_type( X, set_type ), relation_like( X ) }.
% 0.82/1.20 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.82/1.20 relation_type( X, Y ) ), domain( X, Y, Z ) = domain_of( Z ) }.
% 0.82/1.20 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.82/1.20 relation_type( X, Y ) ), ilf_type( domain( X, Y, Z ), subset_type( X ) )
% 0.82/1.20 }.
% 0.82/1.20 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.82/1.20 relation_type( X, Y ) ), range( X, Y, Z ) = range_of( Z ) }.
% 0.82/1.20 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.82/1.20 relation_type( X, Y ) ), ilf_type( range( X, Y, Z ), subset_type( Y ) ) }
% 0.82/1.20 .
% 0.82/1.20 { ilf_type( X, set_type ) }.
% 0.82/1.20 { ilf_type( skol13, binary_relation_type ) }.
% 0.82/1.20 { ! ilf_type( skol13, relation_type( domain_of( skol13 ), range_of( skol13
% 0.82/1.20 ) ) ) }.
% 0.82/1.20
% 0.82/1.20 percentage equality = 0.020513, percentage horn = 0.822581
% 0.82/1.20 This is a problem with some equality
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Options Used:
% 0.82/1.20
% 0.82/1.20 useres = 1
% 0.82/1.20 useparamod = 1
% 0.82/1.20 useeqrefl = 1
% 0.82/1.20 useeqfact = 1
% 0.82/1.20 usefactor = 1
% 0.82/1.20 usesimpsplitting = 0
% 0.82/1.20 usesimpdemod = 5
% 0.82/1.20 usesimpres = 3
% 0.82/1.20
% 0.82/1.20 resimpinuse = 1000
% 0.82/1.20 resimpclauses = 20000
% 0.82/1.20 substype = eqrewr
% 0.82/1.20 backwardsubs = 1
% 0.82/1.20 selectoldest = 5
% 0.82/1.20
% 0.82/1.20 litorderings [0] = split
% 0.82/1.20 litorderings [1] = extend the termordering, first sorting on arguments
% 0.82/1.20
% 0.82/1.20 termordering = kbo
% 0.82/1.20
% 0.82/1.20 litapriori = 0
% 0.82/1.20 termapriori = 1
% 0.82/1.20 litaposteriori = 0
% 0.82/1.20 termaposteriori = 0
% 0.82/1.20 demodaposteriori = 0
% 0.82/1.20 ordereqreflfact = 0
% 0.82/1.20
% 0.82/1.20 litselect = negord
% 0.82/1.20
% 0.82/1.20 maxweight = 15
% 0.82/1.20 maxdepth = 30000
% 0.82/1.20 maxlength = 115
% 0.82/1.20 maxnrvars = 195
% 0.82/1.20 excuselevel = 1
% 0.82/1.20 increasemaxweight = 1
% 0.82/1.20
% 0.82/1.20 maxselected = 10000000
% 0.82/1.20 maxnrclauses = 10000000
% 0.82/1.20
% 0.82/1.20 showgenerated = 0
% 0.82/1.20 showkept = 0
% 0.82/1.20 showselected = 0
% 0.82/1.20 showdeleted = 0
% 0.82/1.20 showresimp = 1
% 0.82/1.20 showstatus = 2000
% 0.82/1.20
% 0.82/1.20 prologoutput = 0
% 0.82/1.20 nrgoals = 5000000
% 0.82/1.20 totalproof = 1
% 0.82/1.20
% 0.82/1.20 Symbols occurring in the translation:
% 0.82/1.20
% 0.82/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.82/1.20 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 0.82/1.20 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.82/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.20 set_type [36, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.82/1.20 ilf_type [37, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.82/1.20 binary_relation_type [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.82/1.20 domain_of [40, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.82/1.20 subset [41, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.82/1.20 range_of [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.82/1.20 relation_type [43, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.82/1.20 member [44, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.82/1.20 ordered_pair [46, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.82/1.20 relation_like [47, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.82/1.20 cross_product [48, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.82/1.20 subset_type [49, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.82/1.20 power_set [51, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.82/1.20 member_type [52, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.82/1.20 empty [53, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.82/1.20 domain [54, 3] (w:1, o:70, a:1, s:1, b:0),
% 0.82/1.20 range [55, 3] (w:1, o:71, a:1, s:1, b:0),
% 0.82/1.20 alpha1 [56, 3] (w:1, o:72, a:1, s:1, b:1),
% 0.82/1.20 alpha2 [57, 1] (w:1, o:26, a:1, s:1, b:1),
% 0.82/1.20 alpha3 [58, 3] (w:1, o:73, a:1, s:1, b:1),
% 0.82/1.20 alpha4 [59, 2] (w:1, o:62, a:1, s:1, b:1),
% 0.82/1.20 alpha5 [60, 2] (w:1, o:63, a:1, s:1, b:1),
% 0.82/1.20 skol1 [61, 2] (w:1, o:64, a:1, s:1, b:1),
% 0.82/1.20 skol2 [62, 2] (w:1, o:66, a:1, s:1, b:1),
% 0.82/1.20 skol3 [63, 0] (w:1, o:12, a:1, s:1, b:1),
% 0.82/1.20 skol4 [64, 2] (w:1, o:67, a:1, s:1, b:1),
% 0.82/1.20 skol5 [65, 1] (w:1, o:27, a:1, s:1, b:1),
% 0.82/1.20 skol6 [66, 2] (w:1, o:68, a:1, s:1, b:1),
% 0.82/1.20 skol7 [67, 1] (w:1, o:28, a:1, s:1, b:1),
% 0.82/1.20 skol8 [68, 1] (w:1, o:29, a:1, s:1, b:1),
% 0.82/1.20 skol9 [69, 2] (w:1, o:69, a:1, s:1, b:1),
% 0.82/1.20 skol10 [70, 2] (w:1, o:65, a:1, s:1, b:1),
% 0.82/1.20 skol11 [71, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.82/1.20 skol12 [72, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.82/1.20 skol13 [73, 0] (w:1, o:13, a:1, s:1, b:1).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Starting Search:
% 0.82/1.20
% 0.82/1.20 *** allocated 15000 integers for clauses
% 0.82/1.20 *** allocated 22500 integers for clauses
% 0.82/1.20 *** allocated 33750 integers for clauses
% 0.82/1.20 *** allocated 15000 integers for termspace/termends
% 0.82/1.20 *** allocated 50625 integers for clauses
% 0.82/1.20 Resimplifying inuse:
% 0.82/1.20 Done
% 0.82/1.20
% 0.82/1.20 *** allocated 22500 integers for termspace/termends
% 0.82/1.20
% 0.82/1.20 Bliksems!, er is een bewijs:
% 0.82/1.20 % SZS status Theorem
% 0.82/1.20 % SZS output start Refutation
% 0.82/1.20
% 0.82/1.20 (0) {G0,W16,D4,L4,V2,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.82/1.20 binary_relation_type ), ! subset( domain_of( Y ), X ), ilf_type( Y,
% 0.82/1.20 relation_type( X, range_of( Y ) ) ) }.
% 0.82/1.20 (26) {G0,W6,D2,L2,V1,M2} I { ! ilf_type( X, set_type ), subset( X, X ) }.
% 0.82/1.20 (59) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 0.82/1.20 (60) {G0,W3,D2,L1,V0,M1} I { ilf_type( skol13, binary_relation_type ) }.
% 0.82/1.20 (61) {G0,W7,D4,L1,V0,M1} I { ! ilf_type( skol13, relation_type( domain_of(
% 0.82/1.20 skol13 ), range_of( skol13 ) ) ) }.
% 0.82/1.20 (87) {G1,W13,D4,L3,V2,M3} S(0);r(59) { ! ilf_type( Y, binary_relation_type
% 0.82/1.20 ), ! subset( domain_of( Y ), X ), ilf_type( Y, relation_type( X,
% 0.82/1.20 range_of( Y ) ) ) }.
% 0.82/1.20 (89) {G1,W3,D2,L1,V1,M1} S(26);r(59) { subset( X, X ) }.
% 0.82/1.20 (1168) {G2,W5,D3,L1,V0,M1} R(87,61);r(60) { ! subset( domain_of( skol13 ),
% 0.82/1.20 domain_of( skol13 ) ) }.
% 0.82/1.20 (1172) {G3,W0,D0,L0,V0,M0} S(1168);r(89) { }.
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 % SZS output end Refutation
% 0.82/1.20 found a proof!
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Unprocessed initial clauses:
% 0.82/1.20
% 0.82/1.20 (1174) {G0,W16,D4,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.82/1.20 binary_relation_type ), ! subset( domain_of( Y ), X ), ilf_type( Y,
% 0.82/1.20 relation_type( X, range_of( Y ) ) ) }.
% 0.82/1.20 (1175) {G0,W15,D3,L4,V4,M4} { ! ilf_type( X, binary_relation_type ), !
% 0.82/1.20 ilf_type( Y, set_type ), ! member( Y, domain_of( X ) ), ilf_type( skol1(
% 0.82/1.20 Z, T ), set_type ) }.
% 0.82/1.20 (1176) {G0,W17,D4,L4,V2,M4} { ! ilf_type( X, binary_relation_type ), !
% 0.82/1.20 ilf_type( Y, set_type ), ! member( Y, domain_of( X ) ), member(
% 0.82/1.20 ordered_pair( Y, skol1( X, Y ) ), X ) }.
% 0.82/1.20 (1177) {G0,W18,D3,L5,V3,M5} { ! ilf_type( X, binary_relation_type ), !
% 0.82/1.20 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! member(
% 0.82/1.20 ordered_pair( Y, Z ), X ), member( Y, domain_of( X ) ) }.
% 0.82/1.20 (1178) {G0,W7,D3,L2,V1,M2} { ! ilf_type( X, binary_relation_type ),
% 0.82/1.20 ilf_type( domain_of( X ), set_type ) }.
% 0.82/1.20 (1179) {G0,W15,D3,L4,V4,M4} { ! ilf_type( X, binary_relation_type ), !
% 0.82/1.20 ilf_type( Y, set_type ), ! member( Y, range_of( X ) ), ilf_type( skol2( Z
% 0.82/1.20 , T ), set_type ) }.
% 0.82/1.20 (1180) {G0,W17,D4,L4,V2,M4} { ! ilf_type( X, binary_relation_type ), !
% 0.82/1.20 ilf_type( Y, set_type ), ! member( Y, range_of( X ) ), member(
% 0.82/1.20 ordered_pair( skol2( X, Y ), Y ), X ) }.
% 0.82/1.20 (1181) {G0,W18,D3,L5,V3,M5} { ! ilf_type( X, binary_relation_type ), !
% 0.82/1.20 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! member(
% 0.82/1.20 ordered_pair( Z, Y ), X ), member( Y, range_of( X ) ) }.
% 0.82/1.20 (1182) {G0,W7,D3,L2,V1,M2} { ! ilf_type( X, binary_relation_type ),
% 0.82/1.20 ilf_type( range_of( X ), set_type ) }.
% 0.82/1.20 (1183) {G0,W8,D2,L3,V1,M3} { ! ilf_type( X, set_type ), ! ilf_type( X,
% 0.82/1.20 binary_relation_type ), relation_like( X ) }.
% 0.82/1.20 (1184) {G0,W9,D2,L3,V1,M3} { ! ilf_type( X, set_type ), ! ilf_type( X,
% 0.82/1.20 binary_relation_type ), ilf_type( X, set_type ) }.
% 0.82/1.20 (1185) {G0,W11,D2,L4,V1,M4} { ! ilf_type( X, set_type ), ! relation_like(
% 0.82/1.20 X ), ! ilf_type( X, set_type ), ilf_type( X, binary_relation_type ) }.
% 0.82/1.20 (1186) {G0,W3,D2,L1,V0,M1} { ilf_type( skol3, binary_relation_type ) }.
% 0.82/1.20 (1187) {G0,W17,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.82/1.20 set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y ) ) ),
% 0.82/1.20 ilf_type( Z, relation_type( X, Y ) ) }.
% 0.82/1.20 (1188) {G0,W17,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.82/1.20 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type( Z,
% 0.82/1.20 subset_type( cross_product( X, Y ) ) ) }.
% 0.82/1.20 (1189) {G0,W13,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.82/1.20 set_type ), ilf_type( skol4( X, Y ), relation_type( Y, X ) ) }.
% 0.82/1.20 (1190) {G0,W11,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.82/1.20 set_type ), ilf_type( cross_product( X, Y ), set_type ) }.
% 0.82/1.20 (1191) {G0,W11,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.82/1.20 set_type ), ilf_type( ordered_pair( X, Y ), set_type ) }.
% 0.82/1.20 (1192) {G0,W15,D4,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.82/1.20 set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y, member_type(
% 0.82/1.20 power_set( X ) ) ) }.
% 0.82/1.20 (1193) {G0,W15,D4,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.82/1.20 set_type ), ! ilf_type( Y, member_type( power_set( X ) ) ), ilf_type( Y,
% 0.82/1.20 subset_type( X ) ) }.
% 0.82/1.20 (1194) {G0,W8,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ilf_type( skol5( X
% 0.82/1.20 ), subset_type( X ) ) }.
% 0.82/1.20 (1195) {G0,W16,D2,L5,V3,M5} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.82/1.20 set_type ), ! subset( X, Y ), ! ilf_type( Z, set_type ), alpha1( X, Y, Z
% 0.82/1.20 ) }.
% 0.82/1.20 (1196) {G0,W14,D3,L4,V4,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.82/1.20 set_type ), ilf_type( skol6( Z, T ), set_type ), subset( X, Y ) }.
% 0.82/1.20 (1197) {G0,W15,D3,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.82/1.20 set_type ), ! alpha1( X, Y, skol6( X, Y ) ), subset( X, Y ) }.
% 0.82/1.20 (1198) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), ! member( Z, X ),
% 0.82/1.20 member( Z, Y ) }.
% 0.82/1.20 (1199) {G0,W7,D2,L2,V3,M2} { member( Z, X ), alpha1( X, Y, Z ) }.
% 0.82/1.20 (1200) {G0,W7,D2,L2,V3,M2} { ! member( Z, Y ), alpha1( X, Y, Z ) }.
% 0.82/1.20 (1201) {G0,W6,D2,L2,V1,M2} { ! ilf_type( X, set_type ), subset( X, X ) }.
% 0.82/1.20 (1202) {G0,W11,D2,L4,V2,M4} { ! ilf_type( X, set_type ), ! relation_like(
% 0.82/1.20 X ), ! ilf_type( Y, set_type ), alpha4( X, Y ) }.
% 0.82/1.20 (1203) {G0,W9,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ilf_type( skol7( Y
% 0.82/1.20 ), set_type ), relation_like( X ) }.
% 0.82/1.20 (1204) {G0,W9,D3,L3,V1,M3} { ! ilf_type( X, set_type ), ! alpha4( X, skol7
% 0.82/1.20 ( X ) ), relation_like( X ) }.
% 0.82/1.20 (1205) {G0,W8,D2,L3,V2,M3} { ! alpha4( X, Y ), ! member( Y, X ), alpha2( Y
% 0.82/1.20 ) }.
% 0.82/1.20 (1206) {G0,W6,D2,L2,V2,M2} { member( Y, X ), alpha4( X, Y ) }.
% 0.82/1.20 (1207) {G0,W5,D2,L2,V2,M2} { ! alpha2( Y ), alpha4( X, Y ) }.
% 0.82/1.20 (1208) {G0,W6,D3,L2,V2,M2} { ! alpha2( X ), ilf_type( skol8( Y ), set_type
% 0.82/1.20 ) }.
% 0.82/1.20 (1209) {G0,W6,D3,L2,V1,M2} { ! alpha2( X ), alpha5( X, skol8( X ) ) }.
% 0.82/1.20 (1210) {G0,W8,D2,L3,V2,M3} { ! ilf_type( Y, set_type ), ! alpha5( X, Y ),
% 0.82/1.20 alpha2( X ) }.
% 0.82/1.20 (1211) {G0,W8,D3,L2,V4,M2} { ! alpha5( X, Y ), ilf_type( skol9( Z, T ),
% 0.82/1.20 set_type ) }.
% 0.82/1.20 (1212) {G0,W10,D4,L2,V2,M2} { ! alpha5( X, Y ), X = ordered_pair( Y, skol9
% 0.82/1.20 ( X, Y ) ) }.
% 0.82/1.20 (1213) {G0,W11,D3,L3,V3,M3} { ! ilf_type( Z, set_type ), ! X =
% 0.82/1.20 ordered_pair( Y, Z ), alpha5( X, Y ) }.
% 0.82/1.20 (1214) {G0,W14,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.82/1.20 set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y ) ) ),
% 0.82/1.20 relation_like( Z ) }.
% 0.82/1.20 (1215) {G0,W17,D3,L5,V3,M5} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.82/1.20 set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z, set_type ),
% 0.82/1.20 alpha3( X, Y, Z ) }.
% 0.82/1.20 (1216) {G0,W15,D3,L4,V4,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.82/1.20 set_type ), ilf_type( skol10( Z, T ), set_type ), member( X, power_set( Y
% 0.82/1.20 ) ) }.
% 0.82/1.20 (1217) {G0,W16,D3,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.82/1.20 set_type ), ! alpha3( X, Y, skol10( X, Y ) ), member( X, power_set( Y ) )
% 0.82/1.20 }.
% 0.82/1.20 (1218) {G0,W10,D2,L3,V3,M3} { ! alpha3( X, Y, Z ), ! member( Z, X ),
% 0.82/1.20 member( Z, Y ) }.
% 0.82/1.20 (1219) {G0,W7,D2,L2,V3,M2} { member( Z, X ), alpha3( X, Y, Z ) }.
% 0.82/1.20 (1220) {G0,W7,D2,L2,V3,M2} { ! member( Z, Y ), alpha3( X, Y, Z ) }.
% 0.82/1.20 (1221) {G0,W6,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ! empty( power_set
% 0.82/1.20 ( X ) ) }.
% 0.82/1.20 (1222) {G0,W7,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ilf_type(
% 0.82/1.20 power_set( X ), set_type ) }.
% 0.82/1.20 (1223) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty( Y ), !
% 0.82/1.20 ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ), member( X, Y
% 0.82/1.20 ) }.
% 0.82/1.20 (1224) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty( Y ), !
% 0.82/1.20 ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X, member_type( Y )
% 0.82/1.20 ) }.
% 0.82/1.20 (1225) {G0,W10,D3,L3,V1,M3} { empty( X ), ! ilf_type( X, set_type ),
% 0.82/1.20 ilf_type( skol11( X ), member_type( X ) ) }.
% 0.82/1.20 (1226) {G0,W11,D2,L4,V2,M4} { ! ilf_type( X, set_type ), ! empty( X ), !
% 0.82/1.20 ilf_type( Y, set_type ), ! member( Y, X ) }.
% 0.82/1.20 (1227) {G0,W9,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ilf_type( skol12(
% 0.82/1.20 Y ), set_type ), empty( X ) }.
% 0.82/1.20 (1228) {G0,W9,D3,L3,V1,M3} { ! ilf_type( X, set_type ), member( skol12( X
% 0.82/1.20 ), X ), empty( X ) }.
% 0.82/1.20 (1229) {G0,W7,D2,L3,V1,M3} { ! empty( X ), ! ilf_type( X, set_type ),
% 0.82/1.20 relation_like( X ) }.
% 0.82/1.20 (1230) {G0,W18,D3,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.82/1.20 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), domain( X, Y, Z ) =
% 0.82/1.20 domain_of( Z ) }.
% 0.82/1.20 (1231) {G0,W18,D3,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.82/1.20 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type( domain( X,
% 0.82/1.20 Y, Z ), subset_type( X ) ) }.
% 0.82/1.20 (1232) {G0,W18,D3,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.82/1.20 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), range( X, Y, Z ) =
% 0.82/1.20 range_of( Z ) }.
% 0.82/1.20 (1233) {G0,W18,D3,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.82/1.20 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type( range( X, Y
% 0.82/1.20 , Z ), subset_type( Y ) ) }.
% 0.82/1.20 (1234) {G0,W3,D2,L1,V1,M1} { ilf_type( X, set_type ) }.
% 0.82/1.20 (1235) {G0,W3,D2,L1,V0,M1} { ilf_type( skol13, binary_relation_type ) }.
% 0.82/1.20 (1236) {G0,W7,D4,L1,V0,M1} { ! ilf_type( skol13, relation_type( domain_of
% 0.82/1.20 ( skol13 ), range_of( skol13 ) ) ) }.
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Total Proof:
% 0.82/1.20
% 0.82/1.20 subsumption: (0) {G0,W16,D4,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 0.82/1.20 ilf_type( Y, binary_relation_type ), ! subset( domain_of( Y ), X ),
% 0.82/1.20 ilf_type( Y, relation_type( X, range_of( Y ) ) ) }.
% 0.82/1.20 parent0: (1174) {G0,W16,D4,L4,V2,M4} { ! ilf_type( X, set_type ), !
% 0.82/1.20 ilf_type( Y, binary_relation_type ), ! subset( domain_of( Y ), X ),
% 0.82/1.20 ilf_type( Y, relation_type( X, range_of( Y ) ) ) }.
% 0.82/1.20 substitution0:
% 0.82/1.20 X := X
% 0.82/1.20 Y := Y
% 0.82/1.20 end
% 0.82/1.20 permutation0:
% 0.82/1.20 0 ==> 0
% 0.82/1.20 1 ==> 1
% 0.82/1.20 2 ==> 2
% 0.82/1.20 3 ==> 3
% 0.82/1.20 end
% 0.82/1.20
% 0.82/1.20 subsumption: (26) {G0,W6,D2,L2,V1,M2} I { ! ilf_type( X, set_type ), subset
% 0.82/1.20 ( X, X ) }.
% 0.82/1.20 parent0: (1201) {G0,W6,D2,L2,V1,M2} { ! ilf_type( X, set_type ), subset( X
% 0.82/1.20 , X ) }.
% 0.82/1.20 substitution0:
% 0.82/1.20 X := X
% 0.82/1.20 end
% 0.82/1.20 permutation0:
% 0.82/1.20 0 ==> 0
% 0.82/1.20 1 ==> 1
% 0.82/1.20 end
% 0.82/1.20
% 0.82/1.20 *** allocated 75937 integers for clauses
% 0.82/1.20 subsumption: (59) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 0.82/1.20 parent0: (1234) {G0,W3,D2,L1,V1,M1} { ilf_type( X, set_type ) }.
% 0.82/1.20 substitution0:
% 0.82/1.20 X := X
% 0.82/1.20 end
% 0.82/1.20 permutation0:
% 0.82/1.20 0 ==> 0
% 0.82/1.20 end
% 0.82/1.20
% 0.82/1.20 subsumption: (60) {G0,W3,D2,L1,V0,M1} I { ilf_type( skol13,
% 0.82/1.20 binary_relation_type ) }.
% 0.82/1.20 parent0: (1235) {G0,W3,D2,L1,V0,M1} { ilf_type( skol13,
% 0.82/1.20 binary_relation_type ) }.
% 0.82/1.20 substitution0:
% 0.82/1.20 end
% 0.82/1.20 permutation0:
% 0.82/1.20 0 ==> 0
% 0.82/1.20 end
% 0.82/1.20
% 0.82/1.20 subsumption: (61) {G0,W7,D4,L1,V0,M1} I { ! ilf_type( skol13, relation_type
% 0.82/1.20 ( domain_of( skol13 ), range_of( skol13 ) ) ) }.
% 0.82/1.20 parent0: (1236) {G0,W7,D4,L1,V0,M1} { ! ilf_type( skol13, relation_type(
% 0.82/1.20 domain_of( skol13 ), range_of( skol13 ) ) ) }.
% 0.82/1.20 substitution0:
% 0.82/1.20 end
% 0.82/1.20 permutation0:
% 0.82/1.20 0 ==> 0
% 0.82/1.20 end
% 0.82/1.20
% 0.82/1.20 resolution: (1364) {G1,W13,D4,L3,V2,M3} { ! ilf_type( Y,
% 0.82/1.20 binary_relation_type ), ! subset( domain_of( Y ), X ), ilf_type( Y,
% 0.82/1.20 relation_type( X, range_of( Y ) ) ) }.
% 0.82/1.20 parent0[0]: (0) {G0,W16,D4,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 0.82/1.20 ilf_type( Y, binary_relation_type ), ! subset( domain_of( Y ), X ),
% 0.82/1.20 ilf_type( Y, relation_type( X, range_of( Y ) ) ) }.
% 0.82/1.20 parent1[0]: (59) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 0.82/1.20 substitution0:
% 0.82/1.20 X := X
% 0.82/1.20 Y := Y
% 0.82/1.20 end
% 0.82/1.20 substitution1:
% 0.82/1.20 X := X
% 0.82/1.20 end
% 0.82/1.20
% 0.82/1.20 subsumption: (87) {G1,W13,D4,L3,V2,M3} S(0);r(59) { ! ilf_type( Y,
% 0.82/1.20 binary_relation_type ), ! subset( domain_of( Y ), X ), ilf_type( Y,
% 0.82/1.20 relation_type( X, range_of( Y ) ) ) }.
% 0.82/1.20 parent0: (1364) {G1,W13,D4,L3,V2,M3} { ! ilf_type( Y, binary_relation_type
% 0.82/1.20 ), ! subset( domain_of( Y ), X ), ilf_type( Y, relation_type( X,
% 0.82/1.20 range_of( Y ) ) ) }.
% 0.82/1.20 substitution0:
% 0.82/1.20 X := X
% 0.82/1.20 Y := Y
% 0.82/1.20 end
% 0.82/1.20 permutation0:
% 0.82/1.20 0 ==> 0
% 0.82/1.20 1 ==> 1
% 0.82/1.20 2 ==> 2
% 0.82/1.20 end
% 0.82/1.20
% 0.82/1.20 resolution: (1365) {G1,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 0.82/1.20 parent0[0]: (26) {G0,W6,D2,L2,V1,M2} I { ! ilf_type( X, set_type ), subset
% 0.82/1.20 ( X, X ) }.
% 0.82/1.20 parent1[0]: (59) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 0.82/1.20 substitution0:
% 0.82/1.20 X := X
% 0.82/1.20 end
% 0.82/1.20 substitution1:
% 0.82/1.20 X := X
% 0.82/1.20 end
% 0.82/1.20
% 0.82/1.20 subsumption: (89) {G1,W3,D2,L1,V1,M1} S(26);r(59) { subset( X, X ) }.
% 0.82/1.20 parent0: (1365) {G1,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 0.82/1.20 substitution0:
% 0.82/1.20 X := X
% 0.82/1.20 end
% 0.82/1.20 permutation0:
% 0.82/1.20 0 ==> 0
% 0.82/1.20 end
% 0.82/1.20
% 0.82/1.20 resolution: (1366) {G1,W8,D3,L2,V0,M2} { ! ilf_type( skol13,
% 0.82/1.20 binary_relation_type ), ! subset( domain_of( skol13 ), domain_of( skol13
% 0.82/1.20 ) ) }.
% 0.82/1.20 parent0[0]: (61) {G0,W7,D4,L1,V0,M1} I { ! ilf_type( skol13, relation_type
% 0.82/1.20 ( domain_of( skol13 ), range_of( skol13 ) ) ) }.
% 0.82/1.20 parent1[2]: (87) {G1,W13,D4,L3,V2,M3} S(0);r(59) { ! ilf_type( Y,
% 0.82/1.20 binary_relation_type ), ! subset( domain_of( Y ), X ), ilf_type( Y,
% 0.82/1.20 relation_type( X, range_of( Y ) ) ) }.
% 0.82/1.20 substitution0:
% 0.82/1.20 end
% 0.82/1.20 substitution1:
% 0.82/1.20 X := domain_of( skol13 )
% 0.82/1.20 Y := skol13
% 0.82/1.20 end
% 0.82/1.20
% 0.82/1.20 resolution: (1367) {G1,W5,D3,L1,V0,M1} { ! subset( domain_of( skol13 ),
% 0.82/1.20 domain_of( skol13 ) ) }.
% 0.82/1.20 parent0[0]: (1366) {G1,W8,D3,L2,V0,M2} { ! ilf_type( skol13,
% 0.82/1.20 binary_relation_type ), ! subset( domain_of( skol13 ), domain_of( skol13
% 0.82/1.20 ) ) }.
% 0.82/1.20 parent1[0]: (60) {G0,W3,D2,L1,V0,M1} I { ilf_type( skol13,
% 0.82/1.20 binary_relation_type ) }.
% 0.82/1.20 substitution0:
% 0.82/1.20 end
% 0.82/1.20 substitution1:
% 0.82/1.20 end
% 0.82/1.20
% 0.82/1.20 subsumption: (1168) {G2,W5,D3,L1,V0,M1} R(87,61);r(60) { ! subset(
% 0.82/1.20 domain_of( skol13 ), domain_of( skol13 ) ) }.
% 0.82/1.20 parent0: (1367) {G1,W5,D3,L1,V0,M1} { ! subset( domain_of( skol13 ),
% 0.82/1.20 domain_of( skol13 ) ) }.
% 0.82/1.20 substitution0:
% 0.82/1.20 end
% 0.82/1.20 permutation0:
% 0.82/1.20 0 ==> 0
% 0.82/1.20 end
% 0.82/1.20
% 0.82/1.20 resolution: (1368) {G2,W0,D0,L0,V0,M0} { }.
% 0.82/1.20 parent0[0]: (1168) {G2,W5,D3,L1,V0,M1} R(87,61);r(60) { ! subset( domain_of
% 0.82/1.20 ( skol13 ), domain_of( skol13 ) ) }.
% 0.82/1.20 parent1[0]: (89) {G1,W3,D2,L1,V1,M1} S(26);r(59) { subset( X, X ) }.
% 0.82/1.20 substitution0:
% 0.82/1.20 end
% 0.82/1.20 substitution1:
% 0.82/1.20 X := domain_of( skol13 )
% 0.82/1.20 end
% 0.82/1.20
% 0.82/1.20 subsumption: (1172) {G3,W0,D0,L0,V0,M0} S(1168);r(89) { }.
% 0.82/1.20 parent0: (1368) {G2,W0,D0,L0,V0,M0} { }.
% 0.82/1.20 substitution0:
% 0.82/1.20 end
% 0.82/1.20 permutation0:
% 0.82/1.20 end
% 0.82/1.20
% 0.82/1.20 Proof check complete!
% 0.82/1.20
% 0.82/1.20 Memory use:
% 0.82/1.20
% 0.82/1.20 space for terms: 15159
% 0.82/1.20 space for clauses: 48681
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 clauses generated: 2979
% 0.82/1.20 clauses kept: 1173
% 0.82/1.20 clauses selected: 243
% 0.82/1.20 clauses deleted: 121
% 0.82/1.20 clauses inuse deleted: 47
% 0.82/1.20
% 0.82/1.20 subsentry: 6264
% 0.82/1.20 literals s-matched: 5325
% 0.82/1.20 literals matched: 5002
% 0.82/1.20 full subsumption: 298
% 0.82/1.20
% 0.82/1.20 checksum: -724514031
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Bliksem ended
%------------------------------------------------------------------------------