TSTP Solution File: SET642+3 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET642+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 0.44s 1.12s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET642+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jul 10 09:03:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.12 *** allocated 10000 integers for termspace/termends
% 0.44/1.12 *** allocated 10000 integers for clauses
% 0.44/1.12 *** allocated 10000 integers for justifications
% 0.44/1.12 Bliksem 1.12
% 0.44/1.12
% 0.44/1.12
% 0.44/1.12 Automatic Strategy Selection
% 0.44/1.12
% 0.44/1.12
% 0.44/1.12 Clauses:
% 0.44/1.12
% 0.44/1.12 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.44/1.12 set_type ), ! ilf_type( T, relation_type( Y, Z ) ), ! subset( X, T ),
% 0.44/1.12 subset( X, cross_product( Y, Z ) ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.44/1.12 set_type ), ! subset( X, cross_product( Y, Z ) ), ilf_type( X,
% 0.44/1.12 relation_type( Y, Z ) ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.44/1.12 subset_type( cross_product( X, Y ) ) ), ilf_type( Z, relation_type( X, Y
% 0.44/1.12 ) ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.44/1.12 relation_type( X, Y ) ), ilf_type( Z, subset_type( cross_product( X, Y )
% 0.44/1.12 ) ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type( skol1( X
% 0.44/1.12 , Y ), relation_type( Y, X ) ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! subset( X, Y ), !
% 0.44/1.12 ilf_type( Z, set_type ), alpha1( X, Y, Z ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type( skol2( Z
% 0.44/1.12 , T ), set_type ), subset( X, Y ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! alpha1( X, Y,
% 0.44/1.12 skol2( X, Y ) ), subset( X, Y ) }.
% 0.44/1.12 { ! alpha1( X, Y, Z ), ! member( Z, X ), member( Z, Y ) }.
% 0.44/1.12 { member( Z, X ), alpha1( X, Y, Z ) }.
% 0.44/1.12 { ! member( Z, Y ), alpha1( X, Y, Z ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type(
% 0.44/1.12 cross_product( X, Y ), set_type ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Y,
% 0.44/1.12 subset_type( X ) ), ilf_type( Y, member_type( power_set( X ) ) ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Y,
% 0.44/1.12 member_type( power_set( X ) ) ), ilf_type( Y, subset_type( X ) ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ilf_type( skol3( X ), subset_type( X ) ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), subset( X, X ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! member( X,
% 0.44/1.12 power_set( Y ) ), ! ilf_type( Z, set_type ), alpha2( X, Y, Z ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type( skol4( Z
% 0.44/1.12 , T ), set_type ), member( X, power_set( Y ) ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! alpha2( X, Y,
% 0.44/1.12 skol4( X, Y ) ), member( X, power_set( Y ) ) }.
% 0.44/1.12 { ! alpha2( X, Y, Z ), ! member( Z, X ), member( Z, Y ) }.
% 0.44/1.12 { member( Z, X ), alpha2( X, Y, Z ) }.
% 0.44/1.12 { ! member( Z, Y ), alpha2( X, Y, Z ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ! empty( power_set( X ) ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ilf_type( power_set( X ), set_type ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), empty( Y ), ! ilf_type( Y, set_type ), !
% 0.44/1.12 ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), empty( Y ), ! ilf_type( Y, set_type ), !
% 0.44/1.12 member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 0.44/1.12 { empty( X ), ! ilf_type( X, set_type ), ilf_type( skol5( X ), member_type
% 0.44/1.12 ( X ) ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ! empty( X ), ! ilf_type( Y, set_type ), !
% 0.44/1.12 member( Y, X ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ilf_type( skol6( Y ), set_type ), empty( X ) }
% 0.44/1.12 .
% 0.44/1.12 { ! ilf_type( X, set_type ), member( skol6( X ), X ), empty( X ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ! relation_like( X ), ! ilf_type( Y, set_type
% 0.44/1.12 ), alpha4( X, Y ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ilf_type( skol7( Y ), set_type ),
% 0.44/1.12 relation_like( X ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ! alpha4( X, skol7( X ) ), relation_like( X )
% 0.44/1.12 }.
% 0.44/1.12 { ! alpha4( X, Y ), ! member( Y, X ), alpha3( Y ) }.
% 0.44/1.12 { member( Y, X ), alpha4( X, Y ) }.
% 0.44/1.12 { ! alpha3( Y ), alpha4( X, Y ) }.
% 0.44/1.12 { ! alpha3( X ), ilf_type( skol8( Y ), set_type ) }.
% 0.44/1.12 { ! alpha3( X ), alpha5( X, skol8( X ) ) }.
% 0.44/1.12 { ! ilf_type( Y, set_type ), ! alpha5( X, Y ), alpha3( X ) }.
% 0.44/1.12 { ! alpha5( X, Y ), ilf_type( skol9( Z, T ), set_type ) }.
% 0.44/1.12 { ! alpha5( X, Y ), X = ordered_pair( Y, skol9( X, Y ) ) }.
% 0.44/1.12 { ! ilf_type( Z, set_type ), ! X = ordered_pair( Y, Z ), alpha5( X, Y ) }.
% 0.44/1.12 { ! empty( X ), ! ilf_type( X, set_type ), relation_like( X ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.44/1.12 subset_type( cross_product( X, Y ) ) ), relation_like( Z ) }.
% 0.44/1.12 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type(
% 0.44/1.12 ordered_pair( X, Y ), set_type ) }.
% 0.44/1.12 { ilf_type( X, set_type ) }.
% 0.44/1.12 { ilf_type( skol10, set_type ) }.
% 0.44/1.12 { ilf_type( skol11, set_type ) }.
% 0.44/1.12 { ilf_type( skol12, set_type ) }.
% 0.44/1.12 { ilf_type( skol13, relation_type( skol11, skol12 ) ) }.
% 0.44/1.12 { subset( skol10, skol13 ) }.
% 0.44/1.12 { ! ilf_type( skol10, relation_type( skol11, skol12 ) ) }.
% 0.44/1.12
% 0.44/1.12 percentage equality = 0.013158, percentage horn = 0.788462
% 0.44/1.12 This is a problem with some equality
% 0.44/1.12
% 0.44/1.12
% 0.44/1.12
% 0.44/1.12 Options Used:
% 0.44/1.12
% 0.44/1.12 useres = 1
% 0.44/1.12 useparamod = 1
% 0.44/1.12 useeqrefl = 1
% 0.44/1.12 useeqfact = 1
% 0.44/1.12 usefactor = 1
% 0.44/1.12 usesimpsplitting = 0
% 0.44/1.12 usesimpdemod = 5
% 0.44/1.12 usesimpres = 3
% 0.44/1.12
% 0.44/1.12 resimpinuse = 1000
% 0.44/1.12 resimpclauses = 20000
% 0.44/1.12 substype = eqrewr
% 0.44/1.12 backwardsubs = 1
% 0.44/1.12 selectoldest = 5
% 0.44/1.12
% 0.44/1.12 litorderings [0] = split
% 0.44/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/1.12
% 0.44/1.12 termordering = kbo
% 0.44/1.12
% 0.44/1.12 litapriori = 0
% 0.44/1.12 termapriori = 1
% 0.44/1.12 litaposteriori = 0
% 0.44/1.12 termaposteriori = 0
% 0.44/1.12 demodaposteriori = 0
% 0.44/1.12 ordereqreflfact = 0
% 0.44/1.12
% 0.44/1.12 litselect = negord
% 0.44/1.12
% 0.44/1.12 maxweight = 15
% 0.44/1.12 maxdepth = 30000
% 0.44/1.12 maxlength = 115
% 0.44/1.12 maxnrvars = 195
% 0.44/1.12 excuselevel = 1
% 0.44/1.12 increasemaxweight = 1
% 0.44/1.12
% 0.44/1.12 maxselected = 10000000
% 0.44/1.12 maxnrclauses = 10000000
% 0.44/1.12
% 0.44/1.12 showgenerated = 0
% 0.44/1.12 showkept = 0
% 0.44/1.12 showselected = 0
% 0.44/1.12 showdeleted = 0
% 0.44/1.12 showresimp = 1
% 0.44/1.12 showstatus = 2000
% 0.44/1.12
% 0.44/1.12 prologoutput = 0
% 0.44/1.12 nrgoals = 5000000
% 0.44/1.12 totalproof = 1
% 0.44/1.12
% 0.44/1.12 Symbols occurring in the translation:
% 0.44/1.12
% 0.44/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.12 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 0.44/1.12 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.44/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.12 set_type [36, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.44/1.12 ilf_type [37, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.44/1.12 relation_type [41, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.44/1.12 subset [42, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.44/1.12 cross_product [43, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.44/1.12 subset_type [44, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.44/1.12 member [45, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.44/1.12 power_set [46, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.44/1.12 member_type [47, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.44/1.12 empty [48, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.44/1.12 relation_like [49, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.44/1.12 ordered_pair [50, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.44/1.12 alpha1 [51, 3] (w:1, o:67, a:1, s:1, b:1),
% 0.44/1.12 alpha2 [52, 3] (w:1, o:68, a:1, s:1, b:1),
% 0.44/1.12 alpha3 [53, 1] (w:1, o:25, a:1, s:1, b:1),
% 0.44/1.12 alpha4 [54, 2] (w:1, o:61, a:1, s:1, b:1),
% 0.44/1.12 alpha5 [55, 2] (w:1, o:62, a:1, s:1, b:1),
% 0.44/1.12 skol1 [56, 2] (w:1, o:63, a:1, s:1, b:1),
% 0.44/1.12 skol2 [57, 2] (w:1, o:64, a:1, s:1, b:1),
% 0.44/1.12 skol3 [58, 1] (w:1, o:26, a:1, s:1, b:1),
% 0.44/1.12 skol4 [59, 2] (w:1, o:65, a:1, s:1, b:1),
% 0.44/1.12 skol5 [60, 1] (w:1, o:27, a:1, s:1, b:1),
% 0.44/1.12 skol6 [61, 1] (w:1, o:28, a:1, s:1, b:1),
% 0.44/1.12 skol7 [62, 1] (w:1, o:29, a:1, s:1, b:1),
% 0.44/1.12 skol8 [63, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.44/1.12 skol9 [64, 2] (w:1, o:66, a:1, s:1, b:1),
% 0.44/1.12 skol10 [65, 0] (w:1, o:11, a:1, s:1, b:1),
% 0.44/1.12 skol11 [66, 0] (w:1, o:12, a:1, s:1, b:1),
% 0.44/1.12 skol12 [67, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.44/1.12 skol13 [68, 0] (w:1, o:14, a:1, s:1, b:1).
% 0.44/1.12
% 0.44/1.12
% 0.44/1.12 Starting Search:
% 0.44/1.12
% 0.44/1.12 *** allocated 15000 integers for clauses
% 0.44/1.12 *** allocated 22500 integers for clauses
% 0.44/1.12 *** allocated 33750 integers for clauses
% 0.44/1.12 *** allocated 15000 integers for termspace/termends
% 0.44/1.12 *** allocated 50625 integers for clauses
% 0.44/1.12
% 0.44/1.12 Bliksems!, er is een bewijs:
% 0.44/1.12 % SZS status Theorem
% 0.44/1.12 % SZS output start Refutation
% 0.44/1.12
% 0.44/1.12 (0) {G0,W22,D3,L6,V4,M6} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.44/1.12 set_type ), ! ilf_type( Z, set_type ), ! ilf_type( T, relation_type( Y, Z
% 0.44/1.12 ) ), ! subset( X, T ), subset( X, cross_product( Y, Z ) ) }.
% 0.44/1.12 (1) {G0,W19,D3,L5,V3,M5} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.44/1.12 set_type ), ! ilf_type( Z, set_type ), ! subset( X, cross_product( Y, Z )
% 0.44/1.12 ), ilf_type( X, relation_type( Y, Z ) ) }.
% 0.44/1.12 (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 0.44/1.12 (46) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol13, relation_type( skol11,
% 0.44/1.12 skol12 ) ) }.
% 0.44/1.12 (47) {G0,W3,D2,L1,V0,M1} I { subset( skol10, skol13 ) }.
% 0.44/1.12 (48) {G0,W5,D3,L1,V0,M1} I { ! ilf_type( skol10, relation_type( skol11,
% 0.44/1.12 skol12 ) ) }.
% 0.44/1.12 (74) {G1,W13,D3,L3,V4,M3} S(0);r(45);r(45);r(45) { ! ilf_type( T,
% 0.44/1.12 relation_type( Y, Z ) ), ! subset( X, T ), subset( X, cross_product( Y, Z
% 0.44/1.12 ) ) }.
% 0.44/1.12 (76) {G1,W10,D3,L2,V3,M2} S(1);r(45);r(45);r(45) { ! subset( X,
% 0.44/1.12 cross_product( Y, Z ) ), ilf_type( X, relation_type( Y, Z ) ) }.
% 0.44/1.12 (828) {G2,W8,D3,L2,V1,M2} R(74,46) { ! subset( X, skol13 ), subset( X,
% 0.44/1.12 cross_product( skol11, skol12 ) ) }.
% 0.44/1.12 (833) {G3,W5,D3,L1,V0,M1} R(828,47) { subset( skol10, cross_product( skol11
% 0.44/1.12 , skol12 ) ) }.
% 0.44/1.12 (839) {G4,W0,D0,L0,V0,M0} R(76,833);r(48) { }.
% 0.44/1.12
% 0.44/1.12
% 0.44/1.12 % SZS output end Refutation
% 0.44/1.12 found a proof!
% 0.44/1.12
% 0.44/1.12
% 0.44/1.12 Unprocessed initial clauses:
% 0.44/1.12
% 0.44/1.12 (841) {G0,W22,D3,L6,V4,M6} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.44/1.12 set_type ), ! ilf_type( Z, set_type ), ! ilf_type( T, relation_type( Y, Z
% 0.44/1.12 ) ), ! subset( X, T ), subset( X, cross_product( Y, Z ) ) }.
% 0.44/1.12 (842) {G0,W19,D3,L5,V3,M5} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.44/1.12 set_type ), ! ilf_type( Z, set_type ), ! subset( X, cross_product( Y, Z )
% 0.44/1.12 ), ilf_type( X, relation_type( Y, Z ) ) }.
% 0.44/1.12 (843) {G0,W17,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.44/1.12 set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y ) ) ),
% 0.44/1.12 ilf_type( Z, relation_type( X, Y ) ) }.
% 0.44/1.12 (844) {G0,W17,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.44/1.12 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type( Z,
% 0.44/1.12 subset_type( cross_product( X, Y ) ) ) }.
% 0.44/1.12 (845) {G0,W13,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.44/1.12 set_type ), ilf_type( skol1( X, Y ), relation_type( Y, X ) ) }.
% 0.44/1.12 (846) {G0,W16,D2,L5,V3,M5} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.44/1.12 set_type ), ! subset( X, Y ), ! ilf_type( Z, set_type ), alpha1( X, Y, Z
% 0.44/1.12 ) }.
% 0.44/1.12 (847) {G0,W14,D3,L4,V4,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.44/1.12 set_type ), ilf_type( skol2( Z, T ), set_type ), subset( X, Y ) }.
% 0.44/1.12 (848) {G0,W15,D3,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.44/1.12 set_type ), ! alpha1( X, Y, skol2( X, Y ) ), subset( X, Y ) }.
% 0.44/1.12 (849) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), ! member( Z, X ), member
% 0.44/1.12 ( Z, Y ) }.
% 0.44/1.12 (850) {G0,W7,D2,L2,V3,M2} { member( Z, X ), alpha1( X, Y, Z ) }.
% 0.44/1.12 (851) {G0,W7,D2,L2,V3,M2} { ! member( Z, Y ), alpha1( X, Y, Z ) }.
% 0.44/1.12 (852) {G0,W11,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.44/1.12 set_type ), ilf_type( cross_product( X, Y ), set_type ) }.
% 0.44/1.12 (853) {G0,W15,D4,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.44/1.12 set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y, member_type(
% 0.44/1.12 power_set( X ) ) ) }.
% 0.44/1.12 (854) {G0,W15,D4,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.44/1.12 set_type ), ! ilf_type( Y, member_type( power_set( X ) ) ), ilf_type( Y,
% 0.44/1.12 subset_type( X ) ) }.
% 0.44/1.12 (855) {G0,W8,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ilf_type( skol3( X
% 0.44/1.12 ), subset_type( X ) ) }.
% 0.44/1.12 (856) {G0,W6,D2,L2,V1,M2} { ! ilf_type( X, set_type ), subset( X, X ) }.
% 0.44/1.12 (857) {G0,W17,D3,L5,V3,M5} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.44/1.12 set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z, set_type ),
% 0.44/1.12 alpha2( X, Y, Z ) }.
% 0.44/1.12 (858) {G0,W15,D3,L4,V4,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.44/1.12 set_type ), ilf_type( skol4( Z, T ), set_type ), member( X, power_set( Y
% 0.44/1.12 ) ) }.
% 0.44/1.12 (859) {G0,W16,D3,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.44/1.12 set_type ), ! alpha2( X, Y, skol4( X, Y ) ), member( X, power_set( Y ) )
% 0.44/1.12 }.
% 0.44/1.12 (860) {G0,W10,D2,L3,V3,M3} { ! alpha2( X, Y, Z ), ! member( Z, X ), member
% 0.44/1.12 ( Z, Y ) }.
% 0.44/1.12 (861) {G0,W7,D2,L2,V3,M2} { member( Z, X ), alpha2( X, Y, Z ) }.
% 0.44/1.12 (862) {G0,W7,D2,L2,V3,M2} { ! member( Z, Y ), alpha2( X, Y, Z ) }.
% 0.44/1.12 (863) {G0,W6,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ! empty( power_set
% 0.44/1.12 ( X ) ) }.
% 0.44/1.12 (864) {G0,W7,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ilf_type( power_set
% 0.44/1.12 ( X ), set_type ) }.
% 0.44/1.12 (865) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty( Y ), !
% 0.44/1.12 ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ), member( X, Y
% 0.44/1.12 ) }.
% 0.44/1.12 (866) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty( Y ), !
% 0.44/1.12 ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X, member_type( Y )
% 0.44/1.12 ) }.
% 0.44/1.12 (867) {G0,W10,D3,L3,V1,M3} { empty( X ), ! ilf_type( X, set_type ),
% 0.44/1.12 ilf_type( skol5( X ), member_type( X ) ) }.
% 0.44/1.12 (868) {G0,W11,D2,L4,V2,M4} { ! ilf_type( X, set_type ), ! empty( X ), !
% 0.44/1.12 ilf_type( Y, set_type ), ! member( Y, X ) }.
% 0.44/1.12 (869) {G0,W9,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ilf_type( skol6( Y
% 0.44/1.12 ), set_type ), empty( X ) }.
% 0.44/1.12 (870) {G0,W9,D3,L3,V1,M3} { ! ilf_type( X, set_type ), member( skol6( X )
% 0.44/1.12 , X ), empty( X ) }.
% 0.44/1.12 (871) {G0,W11,D2,L4,V2,M4} { ! ilf_type( X, set_type ), ! relation_like( X
% 0.44/1.12 ), ! ilf_type( Y, set_type ), alpha4( X, Y ) }.
% 0.44/1.12 (872) {G0,W9,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ilf_type( skol7( Y
% 0.44/1.12 ), set_type ), relation_like( X ) }.
% 0.44/1.12 (873) {G0,W9,D3,L3,V1,M3} { ! ilf_type( X, set_type ), ! alpha4( X, skol7
% 0.44/1.12 ( X ) ), relation_like( X ) }.
% 0.44/1.12 (874) {G0,W8,D2,L3,V2,M3} { ! alpha4( X, Y ), ! member( Y, X ), alpha3( Y
% 0.44/1.12 ) }.
% 0.44/1.12 (875) {G0,W6,D2,L2,V2,M2} { member( Y, X ), alpha4( X, Y ) }.
% 0.44/1.12 (876) {G0,W5,D2,L2,V2,M2} { ! alpha3( Y ), alpha4( X, Y ) }.
% 0.44/1.12 (877) {G0,W6,D3,L2,V2,M2} { ! alpha3( X ), ilf_type( skol8( Y ), set_type
% 0.44/1.12 ) }.
% 0.44/1.12 (878) {G0,W6,D3,L2,V1,M2} { ! alpha3( X ), alpha5( X, skol8( X ) ) }.
% 0.44/1.12 (879) {G0,W8,D2,L3,V2,M3} { ! ilf_type( Y, set_type ), ! alpha5( X, Y ),
% 0.44/1.12 alpha3( X ) }.
% 0.44/1.12 (880) {G0,W8,D3,L2,V4,M2} { ! alpha5( X, Y ), ilf_type( skol9( Z, T ),
% 0.44/1.12 set_type ) }.
% 0.44/1.12 (881) {G0,W10,D4,L2,V2,M2} { ! alpha5( X, Y ), X = ordered_pair( Y, skol9
% 0.44/1.12 ( X, Y ) ) }.
% 0.44/1.12 (882) {G0,W11,D3,L3,V3,M3} { ! ilf_type( Z, set_type ), ! X = ordered_pair
% 0.44/1.12 ( Y, Z ), alpha5( X, Y ) }.
% 0.44/1.12 (883) {G0,W7,D2,L3,V1,M3} { ! empty( X ), ! ilf_type( X, set_type ),
% 0.44/1.12 relation_like( X ) }.
% 0.44/1.12 (884) {G0,W14,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.44/1.12 set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y ) ) ),
% 0.44/1.12 relation_like( Z ) }.
% 0.44/1.12 (885) {G0,W11,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 0.44/1.12 set_type ), ilf_type( ordered_pair( X, Y ), set_type ) }.
% 0.44/1.12 (886) {G0,W3,D2,L1,V1,M1} { ilf_type( X, set_type ) }.
% 0.44/1.12 (887) {G0,W3,D2,L1,V0,M1} { ilf_type( skol10, set_type ) }.
% 0.44/1.12 (888) {G0,W3,D2,L1,V0,M1} { ilf_type( skol11, set_type ) }.
% 0.44/1.12 (889) {G0,W3,D2,L1,V0,M1} { ilf_type( skol12, set_type ) }.
% 0.44/1.12 (890) {G0,W5,D3,L1,V0,M1} { ilf_type( skol13, relation_type( skol11,
% 0.44/1.12 skol12 ) ) }.
% 0.44/1.12 (891) {G0,W3,D2,L1,V0,M1} { subset( skol10, skol13 ) }.
% 0.44/1.12 (892) {G0,W5,D3,L1,V0,M1} { ! ilf_type( skol10, relation_type( skol11,
% 0.44/1.12 skol12 ) ) }.
% 0.44/1.12
% 0.44/1.12
% 0.44/1.12 Total Proof:
% 0.44/1.12
% 0.44/1.12 subsumption: (0) {G0,W22,D3,L6,V4,M6} I { ! ilf_type( X, set_type ), !
% 0.44/1.12 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! ilf_type( T,
% 0.44/1.12 relation_type( Y, Z ) ), ! subset( X, T ), subset( X, cross_product( Y, Z
% 0.44/1.12 ) ) }.
% 0.44/1.12 parent0: (841) {G0,W22,D3,L6,V4,M6} { ! ilf_type( X, set_type ), !
% 0.44/1.12 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! ilf_type( T,
% 0.44/1.12 relation_type( Y, Z ) ), ! subset( X, T ), subset( X, cross_product( Y, Z
% 0.44/1.12 ) ) }.
% 0.44/1.12 substitution0:
% 0.44/1.12 X := X
% 0.44/1.12 Y := Y
% 0.44/1.12 Z := Z
% 0.44/1.12 T := T
% 0.44/1.12 end
% 0.44/1.12 permutation0:
% 0.44/1.12 0 ==> 0
% 0.44/1.12 1 ==> 1
% 0.44/1.12 2 ==> 2
% 0.44/1.12 3 ==> 3
% 0.44/1.12 4 ==> 4
% 0.44/1.12 5 ==> 5
% 0.44/1.12 end
% 0.44/1.12
% 0.44/1.12 subsumption: (1) {G0,W19,D3,L5,V3,M5} I { ! ilf_type( X, set_type ), !
% 0.44/1.12 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! subset( X,
% 0.44/1.12 cross_product( Y, Z ) ), ilf_type( X, relation_type( Y, Z ) ) }.
% 0.44/1.12 parent0: (842) {G0,W19,D3,L5,V3,M5} { ! ilf_type( X, set_type ), !
% 0.44/1.12 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! subset( X,
% 0.44/1.12 cross_product( Y, Z ) ), ilf_type( X, relation_type( Y, Z ) ) }.
% 0.44/1.12 substitution0:
% 0.44/1.12 X := X
% 0.44/1.12 Y := Y
% 0.44/1.12 Z := Z
% 0.44/1.12 end
% 0.44/1.12 permutation0:
% 0.44/1.12 0 ==> 0
% 0.44/1.12 1 ==> 1
% 0.44/1.12 2 ==> 2
% 0.44/1.12 3 ==> 3
% 0.44/1.12 4 ==> 4
% 0.44/1.12 end
% 0.44/1.12
% 0.44/1.12 subsumption: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 0.44/1.12 parent0: (886) {G0,W3,D2,L1,V1,M1} { ilf_type( X, set_type ) }.
% 0.44/1.12 substitution0:
% 0.44/1.12 X := X
% 0.44/1.12 end
% 0.44/1.12 permutation0:
% 0.44/1.12 0 ==> 0
% 0.44/1.12 end
% 0.44/1.12
% 0.44/1.12 subsumption: (46) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol13, relation_type(
% 0.44/1.12 skol11, skol12 ) ) }.
% 0.44/1.12 parent0: (890) {G0,W5,D3,L1,V0,M1} { ilf_type( skol13, relation_type(
% 0.44/1.12 skol11, skol12 ) ) }.
% 0.44/1.12 substitution0:
% 0.44/1.12 end
% 0.44/1.12 permutation0:
% 0.44/1.12 0 ==> 0
% 0.44/1.12 end
% 0.44/1.12
% 0.44/1.12 subsumption: (47) {G0,W3,D2,L1,V0,M1} I { subset( skol10, skol13 ) }.
% 0.44/1.12 parent0: (891) {G0,W3,D2,L1,V0,M1} { subset( skol10, skol13 ) }.
% 0.44/1.12 substitution0:
% 0.44/1.12 end
% 0.44/1.12 permutation0:
% 0.44/1.12 0 ==> 0
% 0.44/1.12 end
% 0.44/1.12
% 0.44/1.12 subsumption: (48) {G0,W5,D3,L1,V0,M1} I { ! ilf_type( skol10, relation_type
% 0.44/1.12 ( skol11, skol12 ) ) }.
% 0.44/1.12 parent0: (892) {G0,W5,D3,L1,V0,M1} { ! ilf_type( skol10, relation_type(
% 0.44/1.12 skol11, skol12 ) ) }.
% 0.44/1.12 substitution0:
% 0.44/1.12 end
% 0.44/1.12 permutation0:
% 0.44/1.12 0 ==> 0
% 0.44/1.12 end
% 0.44/1.12
% 0.44/1.12 resolution: (1058) {G1,W19,D3,L5,V4,M5} { ! ilf_type( Y, set_type ), !
% 0.44/1.12 ilf_type( Z, set_type ), ! ilf_type( T, relation_type( Y, Z ) ), ! subset
% 0.44/1.12 ( X, T ), subset( X, cross_product( Y, Z ) ) }.
% 0.44/1.12 parent0[0]: (0) {G0,W22,D3,L6,V4,M6} I { ! ilf_type( X, set_type ), !
% 0.44/1.12 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! ilf_type( T,
% 0.44/1.12 relation_type( Y, Z ) ), ! subset( X, T ), subset( X, cross_product( Y, Z
% 0.44/1.12 ) ) }.
% 0.44/1.12 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 0.44/1.12 substitution0:
% 0.44/1.12 X := X
% 0.44/1.12 Y := Y
% 0.44/1.12 Z := Z
% 0.44/1.12 T := T
% 0.44/1.12 end
% 0.44/1.12 substitution1:
% 0.44/1.12 X := X
% 0.44/1.12 end
% 0.44/1.12
% 0.44/1.12 resolution: (1065) {G1,W16,D3,L4,V4,M4} { ! ilf_type( Y, set_type ), !
% 0.44/1.12 ilf_type( Z, relation_type( X, Y ) ), ! subset( T, Z ), subset( T,
% 0.44/1.12 cross_product( X, Y ) ) }.
% 0.44/1.12 parent0[0]: (1058) {G1,W19,D3,L5,V4,M5} { ! ilf_type( Y, set_type ), !
% 0.44/1.12 ilf_type( Z, set_type ), ! ilf_type( T, relation_type( Y, Z ) ), ! subset
% 0.44/1.12 ( X, T ), subset( X, cross_product( Y, Z ) ) }.
% 0.44/1.12 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 0.44/1.12 substitution0:
% 0.44/1.12 X := T
% 0.44/1.12 Y := X
% 0.44/1.12 Z := Y
% 0.44/1.12 T := Z
% 0.44/1.12 end
% 0.44/1.12 substitution1:
% 0.44/1.12 X := X
% 0.44/1.12 end
% 0.44/1.12
% 0.44/1.12 resolution: (1067) {G1,W13,D3,L3,V4,M3} { ! ilf_type( Y, relation_type( Z
% 0.44/1.12 , X ) ), ! subset( T, Y ), subset( T, cross_product( Z, X ) ) }.
% 0.44/1.12 parent0[0]: (1065) {G1,W16,D3,L4,V4,M4} { ! ilf_type( Y, set_type ), !
% 0.44/1.12 ilf_type( Z, relation_type( X, Y ) ), ! subset( T, Z ), subset( T,
% 0.44/1.12 cross_product( X, Y ) ) }.
% 0.44/1.12 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 0.44/1.12 substitution0:
% 0.44/1.12 X := Z
% 0.44/1.12 Y := X
% 0.44/1.12 Z := Y
% 0.44/1.12 T := T
% 0.44/1.12 end
% 0.44/1.12 substitution1:
% 0.44/1.12 X := X
% 0.44/1.12 end
% 0.44/1.12
% 0.44/1.12 subsumption: (74) {G1,W13,D3,L3,V4,M3} S(0);r(45);r(45);r(45) { ! ilf_type
% 0.44/1.12 ( T, relation_type( Y, Z ) ), ! subset( X, T ), subset( X, cross_product
% 0.44/1.12 ( Y, Z ) ) }.
% 0.44/1.12 parent0: (1067) {G1,W13,D3,L3,V4,M3} { ! ilf_type( Y, relation_type( Z, X
% 0.44/1.12 ) ), ! subset( T, Y ), subset( T, cross_product( Z, X ) ) }.
% 0.44/1.12 substitution0:
% 0.44/1.12 X := Z
% 0.44/1.12 Y := T
% 0.44/1.12 Z := Y
% 0.44/1.12 T := X
% 0.44/1.12 end
% 0.44/1.12 permutation0:
% 0.44/1.12 0 ==> 0
% 0.44/1.12 1 ==> 1
% 0.44/1.12 2 ==> 2
% 0.44/1.12 end
% 0.44/1.12
% 0.44/1.12 resolution: (1085) {G1,W16,D3,L4,V3,M4} { ! ilf_type( Y, set_type ), !
% 0.44/1.12 ilf_type( Z, set_type ), ! subset( X, cross_product( Y, Z ) ), ilf_type(
% 0.44/1.12 X, relation_type( Y, Z ) ) }.
% 0.44/1.12 parent0[0]: (1) {G0,W19,D3,L5,V3,M5} I { ! ilf_type( X, set_type ), !
% 0.44/1.12 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! subset( X,
% 0.44/1.12 cross_product( Y, Z ) ), ilf_type( X, relation_type( Y, Z ) ) }.
% 0.44/1.12 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 0.44/1.12 substitution0:
% 0.44/1.12 X := X
% 0.44/1.12 Y := Y
% 0.44/1.12 Z := Z
% 0.44/1.12 end
% 0.44/1.12 substitution1:
% 0.44/1.12 X := X
% 0.44/1.12 end
% 0.44/1.12
% 0.44/1.12 resolution: (1092) {G1,W13,D3,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 0.44/1.13 subset( Z, cross_product( X, Y ) ), ilf_type( Z, relation_type( X, Y ) )
% 0.44/1.13 }.
% 0.44/1.13 parent0[0]: (1085) {G1,W16,D3,L4,V3,M4} { ! ilf_type( Y, set_type ), !
% 0.44/1.13 ilf_type( Z, set_type ), ! subset( X, cross_product( Y, Z ) ), ilf_type(
% 0.44/1.13 X, relation_type( Y, Z ) ) }.
% 0.44/1.13 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := Z
% 0.44/1.13 Y := X
% 0.44/1.13 Z := Y
% 0.44/1.13 end
% 0.44/1.13 substitution1:
% 0.44/1.13 X := X
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 resolution: (1094) {G1,W10,D3,L2,V3,M2} { ! subset( Y, cross_product( Z, X
% 0.44/1.13 ) ), ilf_type( Y, relation_type( Z, X ) ) }.
% 0.44/1.13 parent0[0]: (1092) {G1,W13,D3,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 0.44/1.13 subset( Z, cross_product( X, Y ) ), ilf_type( Z, relation_type( X, Y ) )
% 0.44/1.13 }.
% 0.44/1.13 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := Z
% 0.44/1.13 Y := X
% 0.44/1.13 Z := Y
% 0.44/1.13 end
% 0.44/1.13 substitution1:
% 0.44/1.13 X := X
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (76) {G1,W10,D3,L2,V3,M2} S(1);r(45);r(45);r(45) { ! subset( X
% 0.44/1.13 , cross_product( Y, Z ) ), ilf_type( X, relation_type( Y, Z ) ) }.
% 0.44/1.13 parent0: (1094) {G1,W10,D3,L2,V3,M2} { ! subset( Y, cross_product( Z, X )
% 0.44/1.13 ), ilf_type( Y, relation_type( Z, X ) ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := Z
% 0.44/1.13 Y := X
% 0.44/1.13 Z := Y
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 0
% 0.44/1.13 1 ==> 1
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 resolution: (1095) {G1,W8,D3,L2,V1,M2} { ! subset( X, skol13 ), subset( X
% 0.44/1.13 , cross_product( skol11, skol12 ) ) }.
% 0.44/1.13 parent0[0]: (74) {G1,W13,D3,L3,V4,M3} S(0);r(45);r(45);r(45) { ! ilf_type(
% 0.44/1.13 T, relation_type( Y, Z ) ), ! subset( X, T ), subset( X, cross_product( Y
% 0.44/1.13 , Z ) ) }.
% 0.44/1.13 parent1[0]: (46) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol13, relation_type(
% 0.44/1.13 skol11, skol12 ) ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := skol11
% 0.44/1.13 Z := skol12
% 0.44/1.13 T := skol13
% 0.44/1.13 end
% 0.44/1.13 substitution1:
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (828) {G2,W8,D3,L2,V1,M2} R(74,46) { ! subset( X, skol13 ),
% 0.44/1.13 subset( X, cross_product( skol11, skol12 ) ) }.
% 0.44/1.13 parent0: (1095) {G1,W8,D3,L2,V1,M2} { ! subset( X, skol13 ), subset( X,
% 0.44/1.13 cross_product( skol11, skol12 ) ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 0
% 0.44/1.13 1 ==> 1
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 resolution: (1096) {G1,W5,D3,L1,V0,M1} { subset( skol10, cross_product(
% 0.44/1.13 skol11, skol12 ) ) }.
% 0.44/1.13 parent0[0]: (828) {G2,W8,D3,L2,V1,M2} R(74,46) { ! subset( X, skol13 ),
% 0.44/1.13 subset( X, cross_product( skol11, skol12 ) ) }.
% 0.44/1.13 parent1[0]: (47) {G0,W3,D2,L1,V0,M1} I { subset( skol10, skol13 ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := skol10
% 0.44/1.13 end
% 0.44/1.13 substitution1:
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (833) {G3,W5,D3,L1,V0,M1} R(828,47) { subset( skol10,
% 0.44/1.13 cross_product( skol11, skol12 ) ) }.
% 0.44/1.13 parent0: (1096) {G1,W5,D3,L1,V0,M1} { subset( skol10, cross_product(
% 0.44/1.13 skol11, skol12 ) ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 0
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 resolution: (1097) {G2,W5,D3,L1,V0,M1} { ilf_type( skol10, relation_type(
% 0.44/1.13 skol11, skol12 ) ) }.
% 0.44/1.13 parent0[0]: (76) {G1,W10,D3,L2,V3,M2} S(1);r(45);r(45);r(45) { ! subset( X
% 0.44/1.13 , cross_product( Y, Z ) ), ilf_type( X, relation_type( Y, Z ) ) }.
% 0.44/1.13 parent1[0]: (833) {G3,W5,D3,L1,V0,M1} R(828,47) { subset( skol10,
% 0.44/1.13 cross_product( skol11, skol12 ) ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := skol10
% 0.44/1.13 Y := skol11
% 0.44/1.13 Z := skol12
% 0.44/1.13 end
% 0.44/1.13 substitution1:
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 resolution: (1098) {G1,W0,D0,L0,V0,M0} { }.
% 0.44/1.13 parent0[0]: (48) {G0,W5,D3,L1,V0,M1} I { ! ilf_type( skol10, relation_type
% 0.44/1.13 ( skol11, skol12 ) ) }.
% 0.44/1.13 parent1[0]: (1097) {G2,W5,D3,L1,V0,M1} { ilf_type( skol10, relation_type(
% 0.44/1.13 skol11, skol12 ) ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 end
% 0.44/1.13 substitution1:
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (839) {G4,W0,D0,L0,V0,M0} R(76,833);r(48) { }.
% 0.44/1.13 parent0: (1098) {G1,W0,D0,L0,V0,M0} { }.
% 0.44/1.13 substitution0:
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 Proof check complete!
% 0.44/1.13
% 0.44/1.13 Memory use:
% 0.44/1.13
% 0.44/1.13 space for terms: 10573
% 0.44/1.13 space for clauses: 35515
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 clauses generated: 2286
% 0.44/1.13 clauses kept: 840
% 0.44/1.13 clauses selected: 203
% 0.44/1.13 clauses deleted: 63
% 0.44/1.13 clauses inuse deleted: 0
% 0.44/1.13
% 0.44/1.13 subsentry: 6421
% 0.44/1.13 literals s-matched: 5816
% 0.44/1.13 literals matched: 5328
% 0.44/1.13 full subsumption: 331
% 0.44/1.13
% 0.44/1.13 checksum: -1325523927
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 Bliksem ended
%------------------------------------------------------------------------------