TSTP Solution File: SET654+3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET654+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 22:51:10 EDT 2022
% Result : Theorem 0.87s 1.24s
% Output : Refutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET654+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Sat Jul 9 16:23:41 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.87/1.23 *** allocated 10000 integers for termspace/termends
% 0.87/1.23 *** allocated 10000 integers for clauses
% 0.87/1.23 *** allocated 10000 integers for justifications
% 0.87/1.23 Bliksem 1.12
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 Automatic Strategy Selection
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 Clauses:
% 0.87/1.23
% 0.87/1.23 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.87/1.23 set_type ), ! subset( X, Y ), ! subset( Y, Z ), subset( X, Z ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.87/1.23 relation_type( X, Y ) ), subset( domain_of( Z ), X ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.87/1.23 relation_type( X, Y ) ), subset( range_of( Z ), Y ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.87/1.23 set_type ), ! ilf_type( T, relation_type( Z, X ) ), ! subset( range_of( T
% 0.87/1.23 ), Y ), ilf_type( T, relation_type( Z, Y ) ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.87/1.23 subset_type( cross_product( X, Y ) ) ), ilf_type( Z, relation_type( X, Y
% 0.87/1.23 ) ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.87/1.23 relation_type( X, Y ) ), ilf_type( Z, subset_type( cross_product( X, Y )
% 0.87/1.23 ) ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type( skol1( X
% 0.87/1.23 , Y ), relation_type( Y, X ) ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! subset( X, Y ), !
% 0.87/1.23 ilf_type( Z, set_type ), alpha1( X, Y, Z ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type( skol2( Z
% 0.87/1.23 , T ), set_type ), subset( X, Y ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! alpha1( X, Y,
% 0.87/1.23 skol2( X, Y ) ), subset( X, Y ) }.
% 0.87/1.23 { ! alpha1( X, Y, Z ), ! member( Z, X ), member( Z, Y ) }.
% 0.87/1.23 { member( Z, X ), alpha1( X, Y, Z ) }.
% 0.87/1.23 { ! member( Z, Y ), alpha1( X, Y, Z ) }.
% 0.87/1.23 { ! ilf_type( X, binary_relation_type ), ilf_type( domain_of( X ), set_type
% 0.87/1.23 ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type(
% 0.87/1.23 cross_product( X, Y ), set_type ) }.
% 0.87/1.23 { ! ilf_type( X, binary_relation_type ), ilf_type( range_of( X ), set_type
% 0.87/1.23 ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Y,
% 0.87/1.23 subset_type( X ) ), ilf_type( Y, member_type( power_set( X ) ) ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Y,
% 0.87/1.23 member_type( power_set( X ) ) ), ilf_type( Y, subset_type( X ) ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ilf_type( skol3( X ), subset_type( X ) ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), subset( X, X ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! member( X,
% 0.87/1.23 power_set( Y ) ), ! ilf_type( Z, set_type ), alpha2( X, Y, Z ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type( skol4( Z
% 0.87/1.23 , T ), set_type ), member( X, power_set( Y ) ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! alpha2( X, Y,
% 0.87/1.23 skol4( X, Y ) ), member( X, power_set( Y ) ) }.
% 0.87/1.23 { ! alpha2( X, Y, Z ), ! member( Z, X ), member( Z, Y ) }.
% 0.87/1.23 { member( Z, X ), alpha2( X, Y, Z ) }.
% 0.87/1.23 { ! member( Z, Y ), alpha2( X, Y, Z ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ! empty( power_set( X ) ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ilf_type( power_set( X ), set_type ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), empty( Y ), ! ilf_type( Y, set_type ), !
% 0.87/1.23 ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), empty( Y ), ! ilf_type( Y, set_type ), !
% 0.87/1.23 member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 0.87/1.23 { empty( X ), ! ilf_type( X, set_type ), ilf_type( skol5( X ), member_type
% 0.87/1.23 ( X ) ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ! empty( X ), ! ilf_type( Y, set_type ), !
% 0.87/1.23 member( Y, X ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ilf_type( skol6( Y ), set_type ), empty( X ) }
% 0.87/1.23 .
% 0.87/1.23 { ! ilf_type( X, set_type ), member( skol6( X ), X ), empty( X ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ! relation_like( X ), ! ilf_type( Y, set_type
% 0.87/1.23 ), alpha4( X, Y ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ilf_type( skol7( Y ), set_type ),
% 0.87/1.23 relation_like( X ) }.
% 0.87/1.23 { ! ilf_type( X, set_type ), ! alpha4( X, skol7( X ) ), relation_like( X )
% 0.87/1.23 }.
% 0.87/1.23 { ! alpha4( X, Y ), ! member( Y, X ), alpha3( Y ) }.
% 0.87/1.23 { member( Y, X ), alpha4( X, Y ) }.
% 0.87/1.23 { ! alpha3( Y ), alpha4( X, Y ) }.
% 0.87/1.23 { ! alpha3( X ), ilf_type( skol8( Y ), set_type ) }.
% 0.87/1.23 { ! alpha3( X ), alpha5( X, skol8( X ) ) }.
% 0.87/1.24 { ! ilf_type( Y, set_type ), ! alpha5( X, Y ), alpha3( X ) }.
% 0.87/1.24 { ! alpha5( X, Y ), ilf_type( skol9( Z, T ), set_type ) }.
% 0.87/1.24 { ! alpha5( X, Y ), X = ordered_pair( Y, skol9( X, Y ) ) }.
% 0.87/1.24 { ! ilf_type( Z, set_type ), ! X = ordered_pair( Y, Z ), alpha5( X, Y ) }.
% 0.87/1.24 { ! empty( X ), ! ilf_type( X, set_type ), relation_like( X ) }.
% 0.87/1.24 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.87/1.24 subset_type( cross_product( X, Y ) ) ), relation_like( Z ) }.
% 0.87/1.24 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type(
% 0.87/1.24 ordered_pair( X, Y ), set_type ) }.
% 0.87/1.24 { ilf_type( X, set_type ) }.
% 0.87/1.24 { ilf_type( skol10, set_type ) }.
% 0.87/1.24 { ilf_type( skol11, set_type ) }.
% 0.87/1.24 { ilf_type( skol12, set_type ) }.
% 0.87/1.24 { ilf_type( skol13, relation_type( skol12, skol10 ) ) }.
% 0.87/1.24 { subset( skol10, skol11 ) }.
% 0.87/1.24 { ! ilf_type( skol13, relation_type( skol12, skol11 ) ) }.
% 0.87/1.24
% 0.87/1.24 percentage equality = 0.012121, percentage horn = 0.803571
% 0.87/1.24 This is a problem with some equality
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 Options Used:
% 0.87/1.24
% 0.87/1.24 useres = 1
% 0.87/1.24 useparamod = 1
% 0.87/1.24 useeqrefl = 1
% 0.87/1.24 useeqfact = 1
% 0.87/1.24 usefactor = 1
% 0.87/1.24 usesimpsplitting = 0
% 0.87/1.24 usesimpdemod = 5
% 0.87/1.24 usesimpres = 3
% 0.87/1.24
% 0.87/1.24 resimpinuse = 1000
% 0.87/1.24 resimpclauses = 20000
% 0.87/1.24 substype = eqrewr
% 0.87/1.24 backwardsubs = 1
% 0.87/1.24 selectoldest = 5
% 0.87/1.24
% 0.87/1.24 litorderings [0] = split
% 0.87/1.24 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.24
% 0.87/1.24 termordering = kbo
% 0.87/1.24
% 0.87/1.24 litapriori = 0
% 0.87/1.24 termapriori = 1
% 0.87/1.24 litaposteriori = 0
% 0.87/1.24 termaposteriori = 0
% 0.87/1.24 demodaposteriori = 0
% 0.87/1.24 ordereqreflfact = 0
% 0.87/1.24
% 0.87/1.24 litselect = negord
% 0.87/1.24
% 0.87/1.24 maxweight = 15
% 0.87/1.24 maxdepth = 30000
% 0.87/1.24 maxlength = 115
% 0.87/1.24 maxnrvars = 195
% 0.87/1.24 excuselevel = 1
% 0.87/1.24 increasemaxweight = 1
% 0.87/1.24
% 0.87/1.24 maxselected = 10000000
% 0.87/1.24 maxnrclauses = 10000000
% 0.87/1.24
% 0.87/1.24 showgenerated = 0
% 0.87/1.24 showkept = 0
% 0.87/1.24 showselected = 0
% 0.87/1.24 showdeleted = 0
% 0.87/1.24 showresimp = 1
% 0.87/1.24 showstatus = 2000
% 0.87/1.24
% 0.87/1.24 prologoutput = 0
% 0.87/1.24 nrgoals = 5000000
% 0.87/1.24 totalproof = 1
% 0.87/1.24
% 0.87/1.24 Symbols occurring in the translation:
% 0.87/1.24
% 0.87/1.24 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.24 . [1, 2] (w:1, o:34, a:1, s:1, b:0),
% 0.87/1.24 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.87/1.24 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.24 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.24 set_type [36, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.87/1.24 ilf_type [37, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.87/1.24 subset [40, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.87/1.24 relation_type [41, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.87/1.24 domain_of [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.87/1.24 range_of [43, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.87/1.24 cross_product [45, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.87/1.24 subset_type [46, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.87/1.24 member [47, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.87/1.24 binary_relation_type [48, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.87/1.24 power_set [49, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.87/1.24 member_type [50, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.87/1.24 empty [51, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.87/1.24 relation_like [52, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.87/1.24 ordered_pair [53, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.87/1.24 alpha1 [54, 3] (w:1, o:70, a:1, s:1, b:1),
% 0.87/1.24 alpha2 [55, 3] (w:1, o:71, a:1, s:1, b:1),
% 0.87/1.24 alpha3 [56, 1] (w:1, o:28, a:1, s:1, b:1),
% 0.87/1.24 alpha4 [57, 2] (w:1, o:64, a:1, s:1, b:1),
% 0.87/1.24 alpha5 [58, 2] (w:1, o:65, a:1, s:1, b:1),
% 0.87/1.24 skol1 [59, 2] (w:1, o:66, a:1, s:1, b:1),
% 0.87/1.24 skol2 [60, 2] (w:1, o:67, a:1, s:1, b:1),
% 0.87/1.24 skol3 [61, 1] (w:1, o:29, a:1, s:1, b:1),
% 0.87/1.24 skol4 [62, 2] (w:1, o:68, a:1, s:1, b:1),
% 0.87/1.24 skol5 [63, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.87/1.24 skol6 [64, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.87/1.24 skol7 [65, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.87/1.24 skol8 [66, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.87/1.24 skol9 [67, 2] (w:1, o:69, a:1, s:1, b:1),
% 0.87/1.24 skol10 [68, 0] (w:1, o:12, a:1, s:1, b:1),
% 0.87/1.24 skol11 [69, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.87/1.24 skol12 [70, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.87/1.24 skol13 [71, 0] (w:1, o:15, a:1, s:1, b:1).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 Starting Search:
% 0.87/1.24
% 0.87/1.24 *** allocated 15000 integers for clauses
% 0.87/1.24 *** allocated 22500 integers for clauses
% 0.87/1.24 *** allocated 33750 integers for clauses
% 0.87/1.24 *** allocated 15000 integers for termspace/termends
% 0.87/1.24 *** allocated 50625 integers for clauses
% 0.87/1.24
% 0.87/1.24 Bliksems!, er is een bewijs:
% 0.87/1.24 % SZS status Theorem
% 0.87/1.24 % SZS output start Refutation
% 0.87/1.24
% 0.87/1.24 (0) {G0,W18,D2,L6,V3,M6} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.87/1.24 set_type ), ! ilf_type( Z, set_type ), ! subset( X, Y ), ! subset( Y, Z )
% 0.87/1.24 , subset( X, Z ) }.
% 0.87/1.24 (2) {G0,W15,D3,L4,V3,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.87/1.24 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), subset( range_of( Z )
% 0.87/1.24 , Y ) }.
% 0.87/1.24 (3) {G0,W23,D3,L6,V4,M6} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.87/1.24 set_type ), ! ilf_type( Z, set_type ), ! ilf_type( T, relation_type( Z, X
% 0.87/1.24 ) ), ! subset( range_of( T ), Y ), ilf_type( T, relation_type( Z, Y ) )
% 0.87/1.24 }.
% 0.87/1.24 (49) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 0.87/1.24 (50) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol13, relation_type( skol12,
% 0.87/1.24 skol10 ) ) }.
% 0.87/1.24 (51) {G0,W3,D2,L1,V0,M1} I { subset( skol10, skol11 ) }.
% 0.87/1.24 (52) {G0,W5,D3,L1,V0,M1} I { ! ilf_type( skol13, relation_type( skol12,
% 0.87/1.24 skol11 ) ) }.
% 0.87/1.24 (77) {G1,W9,D2,L3,V3,M3} S(0);r(49);r(49);r(49) { ! subset( X, Y ), !
% 0.87/1.24 subset( Y, Z ), subset( X, Z ) }.
% 0.87/1.24 (81) {G1,W9,D3,L2,V3,M2} S(2);r(49);r(49) { ! ilf_type( Z, relation_type( X
% 0.87/1.24 , Y ) ), subset( range_of( Z ), Y ) }.
% 0.87/1.24 (84) {G1,W14,D3,L3,V4,M3} S(3);r(49);r(49);r(49) { ! ilf_type( T,
% 0.87/1.24 relation_type( Z, X ) ), ! subset( range_of( T ), Y ), ilf_type( T,
% 0.87/1.24 relation_type( Z, Y ) ) }.
% 0.87/1.24 (903) {G2,W6,D2,L2,V1,M2} R(77,51) { ! subset( X, skol10 ), subset( X,
% 0.87/1.24 skol11 ) }.
% 0.87/1.24 (937) {G2,W4,D3,L1,V0,M1} R(81,50) { subset( range_of( skol13 ), skol10 )
% 0.87/1.24 }.
% 0.87/1.24 (939) {G3,W4,D3,L1,V0,M1} R(937,903) { subset( range_of( skol13 ), skol11 )
% 0.87/1.24 }.
% 0.87/1.24 (954) {G4,W5,D3,L1,V1,M1} R(84,52);r(939) { ! ilf_type( skol13,
% 0.87/1.24 relation_type( skol12, X ) ) }.
% 0.87/1.24 (955) {G5,W0,D0,L0,V0,M0} R(954,50) { }.
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 % SZS output end Refutation
% 0.87/1.24 found a proof!
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 Unprocessed initial clauses:
% 0.87/1.24
% 0.87/1.24 (957) {G0,W18,D2,L6,V3,M6} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.87/1.24 set_type ), ! ilf_type( Z, set_type ), ! subset( X, Y ), ! subset( Y, Z )
% 0.87/1.24 , subset( X, Z ) }.
% 0.87/1.24 (958) {G0,W15,D3,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.87/1.24 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), subset( domain_of( Z
% 0.87/1.24 ), X ) }.
% 0.87/1.24 (959) {G0,W15,D3,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.87/1.24 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), subset( range_of( Z )
% 0.87/1.24 , Y ) }.
% 0.87/1.24 (960) {G0,W23,D3,L6,V4,M6} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.87/1.24 set_type ), ! ilf_type( Z, set_type ), ! ilf_type( T, relation_type( Z, X
% 0.87/1.24 ) ), ! subset( range_of( T ), Y ), ilf_type( T, relation_type( Z, Y ) )
% 0.87/1.24 }.
% 0.87/1.24 (961) {G0,W17,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.87/1.24 set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y ) ) ),
% 0.87/1.24 ilf_type( Z, relation_type( X, Y ) ) }.
% 0.87/1.24 (962) {G0,W17,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.87/1.24 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type( Z,
% 0.87/1.24 subset_type( cross_product( X, Y ) ) ) }.
% 0.87/1.24 (963) {G0,W13,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.87/1.24 set_type ), ilf_type( skol1( X, Y ), relation_type( Y, X ) ) }.
% 0.87/1.24 (964) {G0,W16,D2,L5,V3,M5} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.87/1.24 set_type ), ! subset( X, Y ), ! ilf_type( Z, set_type ), alpha1( X, Y, Z
% 0.87/1.24 ) }.
% 0.87/1.24 (965) {G0,W14,D3,L4,V4,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.87/1.24 set_type ), ilf_type( skol2( Z, T ), set_type ), subset( X, Y ) }.
% 0.87/1.24 (966) {G0,W15,D3,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.87/1.24 set_type ), ! alpha1( X, Y, skol2( X, Y ) ), subset( X, Y ) }.
% 0.87/1.24 (967) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), ! member( Z, X ), member
% 0.87/1.24 ( Z, Y ) }.
% 0.87/1.24 (968) {G0,W7,D2,L2,V3,M2} { member( Z, X ), alpha1( X, Y, Z ) }.
% 0.87/1.24 (969) {G0,W7,D2,L2,V3,M2} { ! member( Z, Y ), alpha1( X, Y, Z ) }.
% 0.87/1.24 (970) {G0,W7,D3,L2,V1,M2} { ! ilf_type( X, binary_relation_type ),
% 0.87/1.24 ilf_type( domain_of( X ), set_type ) }.
% 0.87/1.24 (971) {G0,W11,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.87/1.24 set_type ), ilf_type( cross_product( X, Y ), set_type ) }.
% 0.87/1.24 (972) {G0,W7,D3,L2,V1,M2} { ! ilf_type( X, binary_relation_type ),
% 0.87/1.24 ilf_type( range_of( X ), set_type ) }.
% 0.87/1.24 (973) {G0,W15,D4,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.87/1.24 set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y, member_type(
% 0.87/1.24 power_set( X ) ) ) }.
% 0.87/1.24 (974) {G0,W15,D4,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.87/1.24 set_type ), ! ilf_type( Y, member_type( power_set( X ) ) ), ilf_type( Y,
% 0.87/1.24 subset_type( X ) ) }.
% 0.87/1.24 (975) {G0,W8,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ilf_type( skol3( X
% 0.87/1.24 ), subset_type( X ) ) }.
% 0.87/1.24 (976) {G0,W6,D2,L2,V1,M2} { ! ilf_type( X, set_type ), subset( X, X ) }.
% 0.87/1.24 (977) {G0,W17,D3,L5,V3,M5} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.87/1.24 set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z, set_type ),
% 0.87/1.24 alpha2( X, Y, Z ) }.
% 0.87/1.24 (978) {G0,W15,D3,L4,V4,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.87/1.24 set_type ), ilf_type( skol4( Z, T ), set_type ), member( X, power_set( Y
% 0.87/1.24 ) ) }.
% 0.87/1.24 (979) {G0,W16,D3,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.87/1.24 set_type ), ! alpha2( X, Y, skol4( X, Y ) ), member( X, power_set( Y ) )
% 0.87/1.24 }.
% 0.87/1.24 (980) {G0,W10,D2,L3,V3,M3} { ! alpha2( X, Y, Z ), ! member( Z, X ), member
% 0.87/1.24 ( Z, Y ) }.
% 0.87/1.24 (981) {G0,W7,D2,L2,V3,M2} { member( Z, X ), alpha2( X, Y, Z ) }.
% 0.87/1.24 (982) {G0,W7,D2,L2,V3,M2} { ! member( Z, Y ), alpha2( X, Y, Z ) }.
% 0.87/1.24 (983) {G0,W6,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ! empty( power_set
% 0.87/1.24 ( X ) ) }.
% 0.87/1.24 (984) {G0,W7,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ilf_type( power_set
% 0.87/1.24 ( X ), set_type ) }.
% 0.87/1.24 (985) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty( Y ), !
% 0.87/1.24 ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ), member( X, Y
% 0.87/1.24 ) }.
% 0.87/1.24 (986) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty( Y ), !
% 0.87/1.24 ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X, member_type( Y )
% 0.87/1.24 ) }.
% 0.87/1.24 (987) {G0,W10,D3,L3,V1,M3} { empty( X ), ! ilf_type( X, set_type ),
% 0.87/1.24 ilf_type( skol5( X ), member_type( X ) ) }.
% 0.87/1.24 (988) {G0,W11,D2,L4,V2,M4} { ! ilf_type( X, set_type ), ! empty( X ), !
% 0.87/1.24 ilf_type( Y, set_type ), ! member( Y, X ) }.
% 0.87/1.24 (989) {G0,W9,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ilf_type( skol6( Y
% 0.87/1.24 ), set_type ), empty( X ) }.
% 0.87/1.24 (990) {G0,W9,D3,L3,V1,M3} { ! ilf_type( X, set_type ), member( skol6( X )
% 0.87/1.24 , X ), empty( X ) }.
% 0.87/1.24 (991) {G0,W11,D2,L4,V2,M4} { ! ilf_type( X, set_type ), ! relation_like( X
% 0.87/1.24 ), ! ilf_type( Y, set_type ), alpha4( X, Y ) }.
% 0.87/1.24 (992) {G0,W9,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ilf_type( skol7( Y
% 0.87/1.24 ), set_type ), relation_like( X ) }.
% 0.87/1.24 (993) {G0,W9,D3,L3,V1,M3} { ! ilf_type( X, set_type ), ! alpha4( X, skol7
% 0.87/1.24 ( X ) ), relation_like( X ) }.
% 0.87/1.24 (994) {G0,W8,D2,L3,V2,M3} { ! alpha4( X, Y ), ! member( Y, X ), alpha3( Y
% 0.87/1.24 ) }.
% 0.87/1.24 (995) {G0,W6,D2,L2,V2,M2} { member( Y, X ), alpha4( X, Y ) }.
% 0.87/1.24 (996) {G0,W5,D2,L2,V2,M2} { ! alpha3( Y ), alpha4( X, Y ) }.
% 0.87/1.24 (997) {G0,W6,D3,L2,V2,M2} { ! alpha3( X ), ilf_type( skol8( Y ), set_type
% 0.87/1.24 ) }.
% 0.87/1.24 (998) {G0,W6,D3,L2,V1,M2} { ! alpha3( X ), alpha5( X, skol8( X ) ) }.
% 0.87/1.24 (999) {G0,W8,D2,L3,V2,M3} { ! ilf_type( Y, set_type ), ! alpha5( X, Y ),
% 0.87/1.24 alpha3( X ) }.
% 0.87/1.24 (1000) {G0,W8,D3,L2,V4,M2} { ! alpha5( X, Y ), ilf_type( skol9( Z, T ),
% 0.87/1.24 set_type ) }.
% 0.87/1.24 (1001) {G0,W10,D4,L2,V2,M2} { ! alpha5( X, Y ), X = ordered_pair( Y, skol9
% 0.87/1.24 ( X, Y ) ) }.
% 0.87/1.24 (1002) {G0,W11,D3,L3,V3,M3} { ! ilf_type( Z, set_type ), ! X =
% 0.87/1.24 ordered_pair( Y, Z ), alpha5( X, Y ) }.
% 0.87/1.24 (1003) {G0,W7,D2,L3,V1,M3} { ! empty( X ), ! ilf_type( X, set_type ),
% 0.87/1.24 relation_like( X ) }.
% 0.87/1.24 (1004) {G0,W14,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.87/1.24 set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y ) ) ),
% 0.87/1.24 relation_like( Z ) }.
% 0.87/1.24 (1005) {G0,W11,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.87/1.24 set_type ), ilf_type( ordered_pair( X, Y ), set_type ) }.
% 0.87/1.24 (1006) {G0,W3,D2,L1,V1,M1} { ilf_type( X, set_type ) }.
% 0.87/1.24 (1007) {G0,W3,D2,L1,V0,M1} { ilf_type( skol10, set_type ) }.
% 0.87/1.24 (1008) {G0,W3,D2,L1,V0,M1} { ilf_type( skol11, set_type ) }.
% 0.87/1.24 (1009) {G0,W3,D2,L1,V0,M1} { ilf_type( skol12, set_type ) }.
% 0.87/1.24 (1010) {G0,W5,D3,L1,V0,M1} { ilf_type( skol13, relation_type( skol12,
% 0.87/1.24 skol10 ) ) }.
% 0.87/1.24 (1011) {G0,W3,D2,L1,V0,M1} { subset( skol10, skol11 ) }.
% 0.87/1.24 (1012) {G0,W5,D3,L1,V0,M1} { ! ilf_type( skol13, relation_type( skol12,
% 0.87/1.24 skol11 ) ) }.
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 Total Proof:
% 0.87/1.24
% 0.87/1.24 subsumption: (0) {G0,W18,D2,L6,V3,M6} I { ! ilf_type( X, set_type ), !
% 0.87/1.24 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! subset( X, Y ), !
% 0.87/1.24 subset( Y, Z ), subset( X, Z ) }.
% 0.87/1.24 parent0: (957) {G0,W18,D2,L6,V3,M6} { ! ilf_type( X, set_type ), !
% 0.87/1.24 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! subset( X, Y ), !
% 0.87/1.24 subset( Y, Z ), subset( X, Z ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := Z
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 1 ==> 1
% 0.87/1.24 2 ==> 2
% 0.87/1.24 3 ==> 3
% 0.87/1.24 4 ==> 4
% 0.87/1.24 5 ==> 5
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (2) {G0,W15,D3,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 0.87/1.24 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), subset(
% 0.87/1.24 range_of( Z ), Y ) }.
% 0.87/1.24 parent0: (959) {G0,W15,D3,L4,V3,M4} { ! ilf_type( X, set_type ), !
% 0.87/1.24 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), subset(
% 0.87/1.24 range_of( Z ), Y ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := Z
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 1 ==> 1
% 0.87/1.24 2 ==> 2
% 0.87/1.24 3 ==> 3
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (3) {G0,W23,D3,L6,V4,M6} I { ! ilf_type( X, set_type ), !
% 0.87/1.24 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! ilf_type( T,
% 0.87/1.24 relation_type( Z, X ) ), ! subset( range_of( T ), Y ), ilf_type( T,
% 0.87/1.24 relation_type( Z, Y ) ) }.
% 0.87/1.24 parent0: (960) {G0,W23,D3,L6,V4,M6} { ! ilf_type( X, set_type ), !
% 0.87/1.24 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! ilf_type( T,
% 0.87/1.24 relation_type( Z, X ) ), ! subset( range_of( T ), Y ), ilf_type( T,
% 0.87/1.24 relation_type( Z, Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := Z
% 0.87/1.24 T := T
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 1 ==> 1
% 0.87/1.24 2 ==> 2
% 0.87/1.24 3 ==> 3
% 0.87/1.24 4 ==> 4
% 0.87/1.24 5 ==> 5
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (49) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 0.87/1.24 parent0: (1006) {G0,W3,D2,L1,V1,M1} { ilf_type( X, set_type ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (50) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol13, relation_type(
% 0.87/1.24 skol12, skol10 ) ) }.
% 0.87/1.24 parent0: (1010) {G0,W5,D3,L1,V0,M1} { ilf_type( skol13, relation_type(
% 0.87/1.24 skol12, skol10 ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (51) {G0,W3,D2,L1,V0,M1} I { subset( skol10, skol11 ) }.
% 0.87/1.24 parent0: (1011) {G0,W3,D2,L1,V0,M1} { subset( skol10, skol11 ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 *** allocated 22500 integers for termspace/termends
% 0.87/1.24 subsumption: (52) {G0,W5,D3,L1,V0,M1} I { ! ilf_type( skol13, relation_type
% 0.87/1.24 ( skol12, skol11 ) ) }.
% 0.87/1.24 parent0: (1012) {G0,W5,D3,L1,V0,M1} { ! ilf_type( skol13, relation_type(
% 0.87/1.24 skol12, skol11 ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 resolution: (1216) {G1,W15,D2,L5,V3,M5} { ! ilf_type( Y, set_type ), !
% 0.87/1.24 ilf_type( Z, set_type ), ! subset( X, Y ), ! subset( Y, Z ), subset( X, Z
% 0.87/1.24 ) }.
% 0.87/1.24 parent0[0]: (0) {G0,W18,D2,L6,V3,M6} I { ! ilf_type( X, set_type ), !
% 0.87/1.24 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! subset( X, Y ), !
% 0.87/1.24 subset( Y, Z ), subset( X, Z ) }.
% 0.87/1.24 parent1[0]: (49) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := Z
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 resolution: (1225) {G1,W12,D2,L4,V3,M4} { ! ilf_type( Y, set_type ), !
% 0.87/1.24 subset( Z, X ), ! subset( X, Y ), subset( Z, Y ) }.
% 0.87/1.24 parent0[0]: (1216) {G1,W15,D2,L5,V3,M5} { ! ilf_type( Y, set_type ), !
% 0.87/1.24 ilf_type( Z, set_type ), ! subset( X, Y ), ! subset( Y, Z ), subset( X, Z
% 0.87/1.24 ) }.
% 0.87/1.24 parent1[0]: (49) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := Z
% 0.87/1.24 Y := X
% 0.87/1.24 Z := Y
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 resolution: (1228) {G1,W9,D2,L3,V3,M3} { ! subset( Y, Z ), ! subset( Z, X
% 0.87/1.24 ), subset( Y, X ) }.
% 0.87/1.24 parent0[0]: (1225) {G1,W12,D2,L4,V3,M4} { ! ilf_type( Y, set_type ), !
% 0.87/1.24 subset( Z, X ), ! subset( X, Y ), subset( Z, Y ) }.
% 0.87/1.24 parent1[0]: (49) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := Z
% 0.87/1.24 Y := X
% 0.87/1.24 Z := Y
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (77) {G1,W9,D2,L3,V3,M3} S(0);r(49);r(49);r(49) { ! subset( X
% 0.87/1.24 , Y ), ! subset( Y, Z ), subset( X, Z ) }.
% 0.87/1.24 parent0: (1228) {G1,W9,D2,L3,V3,M3} { ! subset( Y, Z ), ! subset( Z, X ),
% 0.87/1.24 subset( Y, X ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := Z
% 0.87/1.24 Y := X
% 0.87/1.24 Z := Y
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 1 ==> 1
% 0.87/1.24 2 ==> 2
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 resolution: (1232) {G1,W12,D3,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 0.87/1.24 ilf_type( Z, relation_type( X, Y ) ), subset( range_of( Z ), Y ) }.
% 0.87/1.24 parent0[0]: (2) {G0,W15,D3,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 0.87/1.24 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), subset(
% 0.87/1.24 range_of( Z ), Y ) }.
% 0.87/1.24 parent1[0]: (49) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := Z
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 resolution: (1234) {G1,W9,D3,L2,V3,M2} { ! ilf_type( Y, relation_type( Z,
% 0.87/1.24 X ) ), subset( range_of( Y ), X ) }.
% 0.87/1.24 parent0[0]: (1232) {G1,W12,D3,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 0.87/1.24 ilf_type( Z, relation_type( X, Y ) ), subset( range_of( Z ), Y ) }.
% 0.87/1.24 parent1[0]: (49) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := Z
% 0.87/1.24 Y := X
% 0.87/1.24 Z := Y
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (81) {G1,W9,D3,L2,V3,M2} S(2);r(49);r(49) { ! ilf_type( Z,
% 0.87/1.24 relation_type( X, Y ) ), subset( range_of( Z ), Y ) }.
% 0.87/1.24 parent0: (1234) {G1,W9,D3,L2,V3,M2} { ! ilf_type( Y, relation_type( Z, X )
% 0.87/1.24 ), subset( range_of( Y ), X ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := Y
% 0.87/1.24 Y := Z
% 0.87/1.24 Z := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 1 ==> 1
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 resolution: (1252) {G1,W20,D3,L5,V4,M5} { ! ilf_type( Y, set_type ), !
% 0.87/1.24 ilf_type( Z, set_type ), ! ilf_type( T, relation_type( Z, X ) ), ! subset
% 0.87/1.24 ( range_of( T ), Y ), ilf_type( T, relation_type( Z, Y ) ) }.
% 0.87/1.24 parent0[0]: (3) {G0,W23,D3,L6,V4,M6} I { ! ilf_type( X, set_type ), !
% 0.87/1.24 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! ilf_type( T,
% 0.87/1.24 relation_type( Z, X ) ), ! subset( range_of( T ), Y ), ilf_type( T,
% 0.87/1.24 relation_type( Z, Y ) ) }.
% 0.87/1.24 parent1[0]: (49) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := Z
% 0.87/1.24 T := T
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 resolution: (1259) {G1,W17,D3,L4,V4,M4} { ! ilf_type( Y, set_type ), !
% 0.87/1.24 ilf_type( Z, relation_type( Y, T ) ), ! subset( range_of( Z ), X ),
% 0.87/1.24 ilf_type( Z, relation_type( Y, X ) ) }.
% 0.87/1.24 parent0[0]: (1252) {G1,W20,D3,L5,V4,M5} { ! ilf_type( Y, set_type ), !
% 0.87/1.24 ilf_type( Z, set_type ), ! ilf_type( T, relation_type( Z, X ) ), ! subset
% 0.87/1.24 ( range_of( T ), Y ), ilf_type( T, relation_type( Z, Y ) ) }.
% 0.87/1.24 parent1[0]: (49) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := T
% 0.87/1.24 Y := X
% 0.87/1.24 Z := Y
% 0.87/1.24 T := Z
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 resolution: (1261) {G1,W14,D3,L3,V4,M3} { ! ilf_type( Y, relation_type( X
% 0.87/1.24 , Z ) ), ! subset( range_of( Y ), T ), ilf_type( Y, relation_type( X, T )
% 0.87/1.24 ) }.
% 0.87/1.24 parent0[0]: (1259) {G1,W17,D3,L4,V4,M4} { ! ilf_type( Y, set_type ), !
% 0.87/1.24 ilf_type( Z, relation_type( Y, T ) ), ! subset( range_of( Z ), X ),
% 0.87/1.24 ilf_type( Z, relation_type( Y, X ) ) }.
% 0.87/1.24 parent1[0]: (49) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := T
% 0.87/1.24 Y := X
% 0.87/1.24 Z := Y
% 0.87/1.24 T := Z
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (84) {G1,W14,D3,L3,V4,M3} S(3);r(49);r(49);r(49) { ! ilf_type
% 0.87/1.24 ( T, relation_type( Z, X ) ), ! subset( range_of( T ), Y ), ilf_type( T,
% 0.87/1.24 relation_type( Z, Y ) ) }.
% 0.87/1.24 parent0: (1261) {G1,W14,D3,L3,V4,M3} { ! ilf_type( Y, relation_type( X, Z
% 0.87/1.24 ) ), ! subset( range_of( Y ), T ), ilf_type( Y, relation_type( X, T ) )
% 0.87/1.24 }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := Z
% 0.87/1.24 Y := T
% 0.87/1.24 Z := X
% 0.87/1.24 T := Y
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 1 ==> 1
% 0.87/1.24 2 ==> 2
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 resolution: (1263) {G1,W6,D2,L2,V1,M2} { ! subset( X, skol10 ), subset( X
% 0.87/1.24 , skol11 ) }.
% 0.87/1.24 parent0[1]: (77) {G1,W9,D2,L3,V3,M3} S(0);r(49);r(49);r(49) { ! subset( X,
% 0.87/1.24 Y ), ! subset( Y, Z ), subset( X, Z ) }.
% 0.87/1.24 parent1[0]: (51) {G0,W3,D2,L1,V0,M1} I { subset( skol10, skol11 ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := skol10
% 0.87/1.24 Z := skol11
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (903) {G2,W6,D2,L2,V1,M2} R(77,51) { ! subset( X, skol10 ),
% 0.87/1.24 subset( X, skol11 ) }.
% 0.87/1.24 parent0: (1263) {G1,W6,D2,L2,V1,M2} { ! subset( X, skol10 ), subset( X,
% 0.87/1.24 skol11 ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 1 ==> 1
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 resolution: (1264) {G1,W4,D3,L1,V0,M1} { subset( range_of( skol13 ),
% 0.87/1.24 skol10 ) }.
% 0.87/1.24 parent0[0]: (81) {G1,W9,D3,L2,V3,M2} S(2);r(49);r(49) { ! ilf_type( Z,
% 0.87/1.24 relation_type( X, Y ) ), subset( range_of( Z ), Y ) }.
% 0.87/1.24 parent1[0]: (50) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol13, relation_type(
% 0.87/1.24 skol12, skol10 ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := skol12
% 0.87/1.24 Y := skol10
% 0.87/1.24 Z := skol13
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (937) {G2,W4,D3,L1,V0,M1} R(81,50) { subset( range_of( skol13
% 0.87/1.24 ), skol10 ) }.
% 0.87/1.24 parent0: (1264) {G1,W4,D3,L1,V0,M1} { subset( range_of( skol13 ), skol10 )
% 0.87/1.24 }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 resolution: (1265) {G3,W4,D3,L1,V0,M1} { subset( range_of( skol13 ),
% 0.87/1.24 skol11 ) }.
% 0.87/1.24 parent0[0]: (903) {G2,W6,D2,L2,V1,M2} R(77,51) { ! subset( X, skol10 ),
% 0.87/1.24 subset( X, skol11 ) }.
% 0.87/1.24 parent1[0]: (937) {G2,W4,D3,L1,V0,M1} R(81,50) { subset( range_of( skol13 )
% 0.87/1.24 , skol10 ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := range_of( skol13 )
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (939) {G3,W4,D3,L1,V0,M1} R(937,903) { subset( range_of(
% 0.87/1.24 skol13 ), skol11 ) }.
% 0.87/1.24 parent0: (1265) {G3,W4,D3,L1,V0,M1} { subset( range_of( skol13 ), skol11 )
% 0.87/1.24 }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 resolution: (1266) {G1,W9,D3,L2,V1,M2} { ! ilf_type( skol13, relation_type
% 0.87/1.24 ( skol12, X ) ), ! subset( range_of( skol13 ), skol11 ) }.
% 0.87/1.24 parent0[0]: (52) {G0,W5,D3,L1,V0,M1} I { ! ilf_type( skol13, relation_type
% 0.87/1.24 ( skol12, skol11 ) ) }.
% 0.87/1.24 parent1[2]: (84) {G1,W14,D3,L3,V4,M3} S(3);r(49);r(49);r(49) { ! ilf_type(
% 0.87/1.24 T, relation_type( Z, X ) ), ! subset( range_of( T ), Y ), ilf_type( T,
% 0.87/1.24 relation_type( Z, Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := skol11
% 0.87/1.24 Z := skol12
% 0.87/1.24 T := skol13
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 resolution: (1267) {G2,W5,D3,L1,V1,M1} { ! ilf_type( skol13, relation_type
% 0.87/1.24 ( skol12, X ) ) }.
% 0.87/1.24 parent0[1]: (1266) {G1,W9,D3,L2,V1,M2} { ! ilf_type( skol13, relation_type
% 0.87/1.24 ( skol12, X ) ), ! subset( range_of( skol13 ), skol11 ) }.
% 0.87/1.24 parent1[0]: (939) {G3,W4,D3,L1,V0,M1} R(937,903) { subset( range_of( skol13
% 0.87/1.24 ), skol11 ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (954) {G4,W5,D3,L1,V1,M1} R(84,52);r(939) { ! ilf_type( skol13
% 0.87/1.24 , relation_type( skol12, X ) ) }.
% 0.87/1.24 parent0: (1267) {G2,W5,D3,L1,V1,M1} { ! ilf_type( skol13, relation_type(
% 0.87/1.24 skol12, X ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 resolution: (1268) {G1,W0,D0,L0,V0,M0} { }.
% 0.87/1.24 parent0[0]: (954) {G4,W5,D3,L1,V1,M1} R(84,52);r(939) { ! ilf_type( skol13
% 0.87/1.24 , relation_type( skol12, X ) ) }.
% 0.87/1.24 parent1[0]: (50) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol13, relation_type(
% 0.87/1.24 skol12, skol10 ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := skol10
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (955) {G5,W0,D0,L0,V0,M0} R(954,50) { }.
% 0.87/1.24 parent0: (1268) {G1,W0,D0,L0,V0,M0} { }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 Proof check complete!
% 0.87/1.24
% 0.87/1.24 Memory use:
% 0.87/1.24
% 0.87/1.24 space for terms: 11942
% 0.87/1.24 space for clauses: 40186
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 clauses generated: 2511
% 0.87/1.24 clauses kept: 956
% 0.87/1.24 clauses selected: 218
% 0.87/1.24 clauses deleted: 59
% 0.87/1.24 clauses inuse deleted: 0
% 0.87/1.24
% 0.87/1.24 subsentry: 7152
% 0.87/1.24 literals s-matched: 6494
% 0.87/1.24 literals matched: 5997
% 0.87/1.24 full subsumption: 398
% 0.87/1.24
% 0.87/1.24 checksum: 1559619736
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 Bliksem ended
%------------------------------------------------------------------------------