TSTP Solution File: SEU250+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU250+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Tue Jul 19 07:11:52 EDT 2022
% Result : Theorem 2.75s 3.16s
% Output : Refutation 2.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU250+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n023.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 : Mon Jun 20 12:09:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.75/3.16 *** allocated 10000 integers for termspace/termends
% 2.75/3.16 *** allocated 10000 integers for clauses
% 2.75/3.16 *** allocated 10000 integers for justifications
% 2.75/3.16 Bliksem 1.12
% 2.75/3.16
% 2.75/3.16
% 2.75/3.16 Automatic Strategy Selection
% 2.75/3.16
% 2.75/3.16
% 2.75/3.16 Clauses:
% 2.75/3.16
% 2.75/3.16 { ! in( X, Y ), ! in( Y, X ) }.
% 2.75/3.16 { ! empty( X ), function( X ) }.
% 2.75/3.16 { ! relation( X ), ! empty( X ), ! function( X ), relation( X ) }.
% 2.75/3.16 { ! relation( X ), ! empty( X ), ! function( X ), function( X ) }.
% 2.75/3.16 { ! relation( X ), ! empty( X ), ! function( X ), one_to_one( X ) }.
% 2.75/3.16 { set_union2( X, Y ) = set_union2( Y, X ) }.
% 2.75/3.16 { set_intersection2( X, Y ) = set_intersection2( Y, X ) }.
% 2.75/3.16 { ! subset( X, Y ), ! in( Z, X ), in( Z, Y ) }.
% 2.75/3.16 { ! in( skol1( Z, Y ), Y ), subset( X, Y ) }.
% 2.75/3.16 { in( skol1( X, Y ), X ), subset( X, Y ) }.
% 2.75/3.16 { ! relation( X ), relation_field( X ) = set_union2( relation_dom( X ),
% 2.75/3.16 relation_rng( X ) ) }.
% 2.75/3.16 { ! relation( X ), relation_restriction( X, Y ) = set_intersection2( X,
% 2.75/3.16 cartesian_product2( Y, Y ) ) }.
% 2.75/3.16 { && }.
% 2.75/3.16 { && }.
% 2.75/3.16 { && }.
% 2.75/3.16 { && }.
% 2.75/3.16 { ! relation( X ), relation( relation_restriction( X, Y ) ) }.
% 2.75/3.16 { && }.
% 2.75/3.16 { && }.
% 2.75/3.16 { && }.
% 2.75/3.16 { && }.
% 2.75/3.16 { && }.
% 2.75/3.16 { element( skol2( X ), X ) }.
% 2.75/3.16 { empty( empty_set ) }.
% 2.75/3.16 { empty( X ), ! empty( set_union2( X, Y ) ) }.
% 2.75/3.16 { empty( X ), ! empty( set_union2( Y, X ) ) }.
% 2.75/3.16 { set_union2( X, X ) = X }.
% 2.75/3.16 { set_intersection2( X, X ) = X }.
% 2.75/3.16 { relation( skol3 ) }.
% 2.75/3.16 { function( skol3 ) }.
% 2.75/3.16 { empty( skol4 ) }.
% 2.75/3.16 { relation( skol5 ) }.
% 2.75/3.16 { empty( skol5 ) }.
% 2.75/3.16 { function( skol5 ) }.
% 2.75/3.16 { ! empty( skol6 ) }.
% 2.75/3.16 { relation( skol7 ) }.
% 2.75/3.16 { function( skol7 ) }.
% 2.75/3.16 { one_to_one( skol7 ) }.
% 2.75/3.16 { subset( X, X ) }.
% 2.75/3.16 { ! relation( X ), ! in( Y, relation_field( relation_restriction( X, Z ) )
% 2.75/3.16 ), in( Y, relation_field( X ) ) }.
% 2.75/3.16 { ! relation( X ), ! in( Y, relation_field( relation_restriction( X, Z ) )
% 2.75/3.16 ), in( Y, Z ) }.
% 2.75/3.16 { set_union2( X, empty_set ) = X }.
% 2.75/3.16 { ! in( X, Y ), element( X, Y ) }.
% 2.75/3.16 { relation( skol8 ) }.
% 2.75/3.16 { ! subset( relation_field( relation_restriction( skol8, skol9 ) ),
% 2.75/3.16 relation_field( skol8 ) ), ! subset( relation_field( relation_restriction
% 2.75/3.16 ( skol8, skol9 ) ), skol9 ) }.
% 2.75/3.16 { set_intersection2( X, empty_set ) = empty_set }.
% 2.75/3.16 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 2.75/3.16 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 2.75/3.16 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 2.75/3.16 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 2.75/3.16 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 2.75/3.16 { ! empty( X ), X = empty_set }.
% 2.75/3.16 { ! in( X, Y ), ! empty( Y ) }.
% 2.75/3.16 { ! empty( X ), X = Y, ! empty( Y ) }.
% 2.75/3.16
% 2.75/3.16 percentage equality = 0.131579, percentage horn = 0.954545
% 2.75/3.16 This is a problem with some equality
% 2.75/3.16
% 2.75/3.16
% 2.75/3.16
% 2.75/3.16 Options Used:
% 2.75/3.16
% 2.75/3.16 useres = 1
% 2.75/3.16 useparamod = 1
% 2.75/3.16 useeqrefl = 1
% 2.75/3.16 useeqfact = 1
% 2.75/3.16 usefactor = 1
% 2.75/3.16 usesimpsplitting = 0
% 2.75/3.16 usesimpdemod = 5
% 2.75/3.16 usesimpres = 3
% 2.75/3.16
% 2.75/3.16 resimpinuse = 1000
% 2.75/3.16 resimpclauses = 20000
% 2.75/3.16 substype = eqrewr
% 2.75/3.16 backwardsubs = 1
% 2.75/3.16 selectoldest = 5
% 2.75/3.16
% 2.75/3.16 litorderings [0] = split
% 2.75/3.16 litorderings [1] = extend the termordering, first sorting on arguments
% 2.75/3.16
% 2.75/3.16 termordering = kbo
% 2.75/3.16
% 2.75/3.16 litapriori = 0
% 2.75/3.16 termapriori = 1
% 2.75/3.16 litaposteriori = 0
% 2.75/3.16 termaposteriori = 0
% 2.75/3.16 demodaposteriori = 0
% 2.75/3.16 ordereqreflfact = 0
% 2.75/3.16
% 2.75/3.16 litselect = negord
% 2.75/3.16
% 2.75/3.16 maxweight = 15
% 2.75/3.16 maxdepth = 30000
% 2.75/3.16 maxlength = 115
% 2.75/3.16 maxnrvars = 195
% 2.75/3.16 excuselevel = 1
% 2.75/3.16 increasemaxweight = 1
% 2.75/3.16
% 2.75/3.16 maxselected = 10000000
% 2.75/3.16 maxnrclauses = 10000000
% 2.75/3.16
% 2.75/3.16 showgenerated = 0
% 2.75/3.16 showkept = 0
% 2.75/3.16 showselected = 0
% 2.75/3.16 showdeleted = 0
% 2.75/3.16 showresimp = 1
% 2.75/3.16 showstatus = 2000
% 2.75/3.16
% 2.75/3.16 prologoutput = 0
% 2.75/3.16 nrgoals = 5000000
% 2.75/3.16 totalproof = 1
% 2.75/3.16
% 2.75/3.16 Symbols occurring in the translation:
% 2.75/3.16
% 2.75/3.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.75/3.16 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 2.75/3.16 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 2.75/3.16 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 2.75/3.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.75/3.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.75/3.16 in [37, 2] (w:1, o:55, a:1, s:1, b:0),
% 2.75/3.16 empty [38, 1] (w:1, o:22, a:1, s:1, b:0),
% 2.75/3.16 function [39, 1] (w:1, o:23, a:1, s:1, b:0),
% 2.75/3.16 relation [40, 1] (w:1, o:24, a:1, s:1, b:0),
% 2.75/3.16 one_to_one [41, 1] (w:1, o:25, a:1, s:1, b:0),
% 2.75/3.16 set_union2 [42, 2] (w:1, o:57, a:1, s:1, b:0),
% 2.75/3.16 set_intersection2 [43, 2] (w:1, o:58, a:1, s:1, b:0),
% 2.75/3.16 subset [44, 2] (w:1, o:59, a:1, s:1, b:0),
% 2.75/3.16 relation_field [46, 1] (w:1, o:26, a:1, s:1, b:0),
% 2.75/3.16 relation_dom [47, 1] (w:1, o:27, a:1, s:1, b:0),
% 2.75/3.16 relation_rng [48, 1] (w:1, o:28, a:1, s:1, b:0),
% 2.75/3.16 relation_restriction [49, 2] (w:1, o:56, a:1, s:1, b:0),
% 2.75/3.16 cartesian_product2 [50, 2] (w:1, o:60, a:1, s:1, b:0),
% 2.75/3.16 element [51, 2] (w:1, o:61, a:1, s:1, b:0),
% 2.75/3.16 empty_set [52, 0] (w:1, o:9, a:1, s:1, b:0),
% 2.75/3.16 powerset [53, 1] (w:1, o:29, a:1, s:1, b:0),
% 2.75/3.16 skol1 [54, 2] (w:1, o:62, a:1, s:1, b:1),
% 2.75/3.16 skol2 [55, 1] (w:1, o:30, a:1, s:1, b:1),
% 2.75/3.16 skol3 [56, 0] (w:1, o:10, a:1, s:1, b:1),
% 2.75/3.16 skol4 [57, 0] (w:1, o:11, a:1, s:1, b:1),
% 2.75/3.16 skol5 [58, 0] (w:1, o:12, a:1, s:1, b:1),
% 2.75/3.16 skol6 [59, 0] (w:1, o:13, a:1, s:1, b:1),
% 2.75/3.16 skol7 [60, 0] (w:1, o:14, a:1, s:1, b:1),
% 2.75/3.16 skol8 [61, 0] (w:1, o:15, a:1, s:1, b:1),
% 2.75/3.16 skol9 [62, 0] (w:1, o:16, a:1, s:1, b:1).
% 2.75/3.16
% 2.75/3.16
% 2.75/3.16 Starting Search:
% 2.75/3.16
% 2.75/3.16 *** allocated 15000 integers for clauses
% 2.75/3.16 *** allocated 22500 integers for clauses
% 2.75/3.16 *** allocated 33750 integers for clauses
% 2.75/3.16 *** allocated 50625 integers for clauses
% 2.75/3.16 *** allocated 15000 integers for termspace/termends
% 2.75/3.16 Resimplifying inuse:
% 2.75/3.16 Done
% 2.75/3.16
% 2.75/3.16 *** allocated 75937 integers for clauses
% 2.75/3.16 *** allocated 22500 integers for termspace/termends
% 2.75/3.16 *** allocated 113905 integers for clauses
% 2.75/3.16
% 2.75/3.16 Intermediate Status:
% 2.75/3.16 Generated: 5574
% 2.75/3.16 Kept: 2005
% 2.75/3.16 Inuse: 215
% 2.75/3.16 Deleted: 29
% 2.75/3.16 Deletedinuse: 16
% 2.75/3.16
% 2.75/3.16 Resimplifying inuse:
% 2.75/3.16 Done
% 2.75/3.16
% 2.75/3.16 *** allocated 33750 integers for termspace/termends
% 2.75/3.16 *** allocated 170857 integers for clauses
% 2.75/3.16 *** allocated 50625 integers for termspace/termends
% 2.75/3.16 Resimplifying inuse:
% 2.75/3.16 Done
% 2.75/3.16
% 2.75/3.16 *** allocated 256285 integers for clauses
% 2.75/3.16
% 2.75/3.16 Intermediate Status:
% 2.75/3.16 Generated: 13157
% 2.75/3.16 Kept: 4015
% 2.75/3.16 Inuse: 323
% 2.75/3.16 Deleted: 72
% 2.75/3.16 Deletedinuse: 49
% 2.75/3.16
% 2.75/3.16 Resimplifying inuse:
% 2.75/3.16 Done
% 2.75/3.16
% 2.75/3.16 *** allocated 75937 integers for termspace/termends
% 2.75/3.16 Resimplifying inuse:
% 2.75/3.16 Done
% 2.75/3.16
% 2.75/3.16 *** allocated 384427 integers for clauses
% 2.75/3.16
% 2.75/3.16 Intermediate Status:
% 2.75/3.16 Generated: 20422
% 2.75/3.16 Kept: 6037
% 2.75/3.16 Inuse: 420
% 2.75/3.16 Deleted: 134
% 2.75/3.16 Deletedinuse: 69
% 2.75/3.16
% 2.75/3.16 Resimplifying inuse:
% 2.75/3.16 Done
% 2.75/3.16
% 2.75/3.16 *** allocated 113905 integers for termspace/termends
% 2.75/3.16 Resimplifying inuse:
% 2.75/3.16 Done
% 2.75/3.16
% 2.75/3.16
% 2.75/3.16 Intermediate Status:
% 2.75/3.16 Generated: 29484
% 2.75/3.16 Kept: 8043
% 2.75/3.16 Inuse: 489
% 2.75/3.16 Deleted: 144
% 2.75/3.16 Deletedinuse: 69
% 2.75/3.16
% 2.75/3.16 Resimplifying inuse:
% 2.75/3.16 Done
% 2.75/3.16
% 2.75/3.16 *** allocated 576640 integers for clauses
% 2.75/3.16 Resimplifying inuse:
% 2.75/3.16 Done
% 2.75/3.16
% 2.75/3.16 *** allocated 170857 integers for termspace/termends
% 2.75/3.16
% 2.75/3.16 Intermediate Status:
% 2.75/3.16 Generated: 37326
% 2.75/3.16 Kept: 10123
% 2.75/3.16 Inuse: 540
% 2.75/3.16 Deleted: 164
% 2.75/3.16 Deletedinuse: 73
% 2.75/3.16
% 2.75/3.16 Resimplifying inuse:
% 2.75/3.16 Done
% 2.75/3.16
% 2.75/3.16 Resimplifying inuse:
% 2.75/3.16 Done
% 2.75/3.16
% 2.75/3.16
% 2.75/3.16 Intermediate Status:
% 2.75/3.16 Generated: 45473
% 2.75/3.16 Kept: 12128
% 2.75/3.16 Inuse: 594
% 2.75/3.16 Deleted: 195
% 2.75/3.16 Deletedinuse: 82
% 2.75/3.16
% 2.75/3.16 Resimplifying inuse:
% 2.75/3.16 Done
% 2.75/3.16
% 2.75/3.16 *** allocated 864960 integers for clauses
% 2.75/3.16 Resimplifying inuse:
% 2.75/3.16 Done
% 2.75/3.16
% 2.75/3.16 *** allocated 256285 integers for termspace/termends
% 2.75/3.16
% 2.75/3.16 Intermediate Status:
% 2.75/3.16 Generated: 53097
% 2.75/3.16 Kept: 14140
% 2.75/3.16 Inuse: 681
% 2.75/3.16 Deleted: 281
% 2.75/3.16 Deletedinuse: 104
% 2.75/3.16
% 2.75/3.16 Resimplifying inuse:
% 2.75/3.16 Done
% 2.75/3.16
% 2.75/3.16 Resimplifying inuse:
% 2.75/3.16 Done
% 2.75/3.16
% 2.75/3.16
% 2.75/3.16 Intermediate Status:
% 2.75/3.16 Generated: 62262
% 2.75/3.16 Kept: 16140
% 2.75/3.16 Inuse: 753
% 2.75/3.16 Deleted: 317
% 2.75/3.16 Deletedinuse: 105
% 2.75/3.16
% 2.75/3.16 Resimplifying inuse:
% 2.75/3.16 Done
% 2.75/3.16
% 2.75/3.16 Resimplifying inuse:
% 2.75/3.16 Done
% 2.75/3.16
% 2.75/3.16
% 2.75/3.16 Intermediate Status:
% 2.75/3.16 Generated: 71649
% 2.75/3.16 Kept: 18165
% 2.75/3.16 Inuse: 801
% 2.75/3.16 Deleted: 326
% 2.75/3.16 Deletedinuse: 106
% 2.75/3.16
% 2.75/3.16 Resimplifying inuse:
% 2.75/3.16 Done
% 2.75/3.16
% 2.75/3.16 *** allocated 1297440 integers for clauses
% 2.75/3.16 Resimplifying inuse:
% 2.75/3.16 Done
% 2.75/3.16
% 2.75/3.16 Resimplifying clauses:
% 2.75/3.16
% 2.75/3.16 Bliksems!, er is een bewijs:
% 2.75/3.16 % SZS status Theorem
% 2.75/3.16 % SZS output start Refutation
% 2.75/3.16
% 2.75/3.16 (6) {G0,W8,D3,L2,V3,M2} I { ! in( skol1( Z, Y ), Y ), subset( X, Y ) }.
% 2.75/3.16 (7) {G0,W8,D3,L2,V2,M2} I { in( skol1( X, Y ), X ), subset( X, Y ) }.
% 2.75/3.16 (29) {G0,W12,D4,L3,V3,M3} I { ! relation( X ), ! in( Y, relation_field(
% 2.75/3.16 relation_restriction( X, Z ) ) ), in( Y, relation_field( X ) ) }.
% 2.75/3.16 (30) {G0,W11,D4,L3,V3,M3} I { ! relation( X ), ! in( Y, relation_field(
% 2.75/3.16 relation_restriction( X, Z ) ) ), in( Y, Z ) }.
% 2.75/3.16 (33) {G0,W2,D2,L1,V0,M1} I { relation( skol8 ) }.
% 2.75/3.16 (34) {G0,W13,D4,L2,V0,M2} I { ! subset( relation_field(
% 2.75/3.16 relation_restriction( skol8, skol9 ) ), relation_field( skol8 ) ), !
% 2.75/3.16 subset( relation_field( relation_restriction( skol8, skol9 ) ), skol9 )
% 2.75/3.16 }.
% 2.75/3.16 (164) {G1,W15,D4,L3,V4,M3} R(29,6) { ! relation( X ), ! in( skol1( Y,
% 2.75/3.16 relation_field( X ) ), relation_field( relation_restriction( X, Z ) ) ),
% 2.75/3.16 subset( T, relation_field( X ) ) }.
% 2.75/3.16 (201) {G1,W16,D5,L3,V3,M3} R(30,7) { ! relation( X ), in( skol1(
% 2.75/3.16 relation_field( relation_restriction( X, Y ) ), Z ), Y ), subset(
% 2.75/3.16 relation_field( relation_restriction( X, Y ) ), Z ) }.
% 2.75/3.16 (233) {G1,W18,D5,L2,V0,M2} R(34,7) { ! subset( relation_field(
% 2.75/3.16 relation_restriction( skol8, skol9 ) ), skol9 ), in( skol1(
% 2.75/3.16 relation_field( relation_restriction( skol8, skol9 ) ), relation_field(
% 2.75/3.16 skol8 ) ), relation_field( relation_restriction( skol8, skol9 ) ) ) }.
% 2.75/3.16 (5286) {G2,W15,D4,L2,V2,M2} R(164,34);r(33) { ! in( skol1( X,
% 2.75/3.16 relation_field( skol8 ) ), relation_field( relation_restriction( skol8, Y
% 2.75/3.16 ) ) ), ! subset( relation_field( relation_restriction( skol8, skol9 ) )
% 2.75/3.16 , skol9 ) }.
% 2.75/3.16 (12908) {G3,W6,D4,L1,V0,M1} S(233);r(5286) { ! subset( relation_field(
% 2.75/3.16 relation_restriction( skol8, skol9 ) ), skol9 ) }.
% 2.75/3.16 (12910) {G4,W8,D5,L1,V0,M1} R(12908,201);r(33) { in( skol1( relation_field
% 2.75/3.16 ( relation_restriction( skol8, skol9 ) ), skol9 ), skol9 ) }.
% 2.75/3.16 (12922) {G4,W5,D3,L1,V1,M1} R(12908,6) { ! in( skol1( X, skol9 ), skol9 )
% 2.75/3.16 }.
% 2.75/3.16 (20017) {G5,W0,D0,L0,V0,M0} S(12910);r(12922) { }.
% 2.75/3.16
% 2.75/3.16
% 2.75/3.16 % SZS output end Refutation
% 2.75/3.16 found a proof!
% 2.75/3.16
% 2.75/3.16
% 2.75/3.16 Unprocessed initial clauses:
% 2.75/3.16
% 2.75/3.16 (20019) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 2.75/3.16 (20020) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 2.75/3.16 (20021) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 2.75/3.16 ), relation( X ) }.
% 2.75/3.16 (20022) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 2.75/3.16 ), function( X ) }.
% 2.75/3.16 (20023) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 2.75/3.16 ), one_to_one( X ) }.
% 2.75/3.16 (20024) {G0,W7,D3,L1,V2,M1} { set_union2( X, Y ) = set_union2( Y, X ) }.
% 2.75/3.16 (20025) {G0,W7,D3,L1,V2,M1} { set_intersection2( X, Y ) =
% 2.75/3.16 set_intersection2( Y, X ) }.
% 2.75/3.16 (20026) {G0,W9,D2,L3,V3,M3} { ! subset( X, Y ), ! in( Z, X ), in( Z, Y )
% 2.75/3.16 }.
% 2.75/3.16 (20027) {G0,W8,D3,L2,V3,M2} { ! in( skol1( Z, Y ), Y ), subset( X, Y ) }.
% 2.75/3.16 (20028) {G0,W8,D3,L2,V2,M2} { in( skol1( X, Y ), X ), subset( X, Y ) }.
% 2.75/3.16 (20029) {G0,W10,D4,L2,V1,M2} { ! relation( X ), relation_field( X ) =
% 2.75/3.16 set_union2( relation_dom( X ), relation_rng( X ) ) }.
% 2.75/3.16 (20030) {G0,W11,D4,L2,V2,M2} { ! relation( X ), relation_restriction( X, Y
% 2.75/3.16 ) = set_intersection2( X, cartesian_product2( Y, Y ) ) }.
% 2.75/3.16 (20031) {G0,W1,D1,L1,V0,M1} { && }.
% 2.75/3.16 (20032) {G0,W1,D1,L1,V0,M1} { && }.
% 2.75/3.16 (20033) {G0,W1,D1,L1,V0,M1} { && }.
% 2.75/3.16 (20034) {G0,W1,D1,L1,V0,M1} { && }.
% 2.75/3.16 (20035) {G0,W6,D3,L2,V2,M2} { ! relation( X ), relation(
% 2.75/3.16 relation_restriction( X, Y ) ) }.
% 2.75/3.16 (20036) {G0,W1,D1,L1,V0,M1} { && }.
% 2.75/3.16 (20037) {G0,W1,D1,L1,V0,M1} { && }.
% 2.75/3.16 (20038) {G0,W1,D1,L1,V0,M1} { && }.
% 2.75/3.16 (20039) {G0,W1,D1,L1,V0,M1} { && }.
% 2.75/3.16 (20040) {G0,W1,D1,L1,V0,M1} { && }.
% 2.75/3.16 (20041) {G0,W4,D3,L1,V1,M1} { element( skol2( X ), X ) }.
% 2.75/3.16 (20042) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 2.75/3.16 (20043) {G0,W6,D3,L2,V2,M2} { empty( X ), ! empty( set_union2( X, Y ) )
% 2.75/3.16 }.
% 2.75/3.16 (20044) {G0,W6,D3,L2,V2,M2} { empty( X ), ! empty( set_union2( Y, X ) )
% 2.75/3.16 }.
% 2.75/3.16 (20045) {G0,W5,D3,L1,V1,M1} { set_union2( X, X ) = X }.
% 2.75/3.16 (20046) {G0,W5,D3,L1,V1,M1} { set_intersection2( X, X ) = X }.
% 2.75/3.16 (20047) {G0,W2,D2,L1,V0,M1} { relation( skol3 ) }.
% 2.75/3.16 (20048) {G0,W2,D2,L1,V0,M1} { function( skol3 ) }.
% 2.75/3.16 (20049) {G0,W2,D2,L1,V0,M1} { empty( skol4 ) }.
% 2.75/3.16 (20050) {G0,W2,D2,L1,V0,M1} { relation( skol5 ) }.
% 2.75/3.16 (20051) {G0,W2,D2,L1,V0,M1} { empty( skol5 ) }.
% 2.75/3.16 (20052) {G0,W2,D2,L1,V0,M1} { function( skol5 ) }.
% 2.75/3.16 (20053) {G0,W2,D2,L1,V0,M1} { ! empty( skol6 ) }.
% 2.75/3.16 (20054) {G0,W2,D2,L1,V0,M1} { relation( skol7 ) }.
% 2.75/3.16 (20055) {G0,W2,D2,L1,V0,M1} { function( skol7 ) }.
% 2.75/3.16 (20056) {G0,W2,D2,L1,V0,M1} { one_to_one( skol7 ) }.
% 2.75/3.16 (20057) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 2.75/3.16 (20058) {G0,W12,D4,L3,V3,M3} { ! relation( X ), ! in( Y, relation_field(
% 2.75/3.16 relation_restriction( X, Z ) ) ), in( Y, relation_field( X ) ) }.
% 2.75/3.16 (20059) {G0,W11,D4,L3,V3,M3} { ! relation( X ), ! in( Y, relation_field(
% 2.75/3.16 relation_restriction( X, Z ) ) ), in( Y, Z ) }.
% 2.75/3.16 (20060) {G0,W5,D3,L1,V1,M1} { set_union2( X, empty_set ) = X }.
% 2.75/3.16 (20061) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 2.75/3.16 (20062) {G0,W2,D2,L1,V0,M1} { relation( skol8 ) }.
% 2.75/3.16 (20063) {G0,W13,D4,L2,V0,M2} { ! subset( relation_field(
% 2.75/3.16 relation_restriction( skol8, skol9 ) ), relation_field( skol8 ) ), !
% 2.75/3.16 subset( relation_field( relation_restriction( skol8, skol9 ) ), skol9 )
% 2.75/3.16 }.
% 2.75/3.16 (20064) {G0,W5,D3,L1,V1,M1} { set_intersection2( X, empty_set ) =
% 2.75/3.16 empty_set }.
% 2.75/3.16 (20065) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 2.75/3.16 }.
% 2.75/3.16 (20066) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y
% 2.75/3.16 ) }.
% 2.75/3.16 (20067) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y )
% 2.75/3.16 ) }.
% 2.75/3.16 (20068) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y ) )
% 2.75/3.16 , element( X, Y ) }.
% 2.75/3.16 (20069) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) )
% 2.75/3.16 , ! empty( Z ) }.
% 2.75/3.16 (20070) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 2.75/3.16 (20071) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 2.75/3.16 (20072) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 2.75/3.16
% 2.75/3.16
% 2.75/3.16 Total Proof:
% 2.75/3.16
% 2.75/3.16 subsumption: (6) {G0,W8,D3,L2,V3,M2} I { ! in( skol1( Z, Y ), Y ), subset(
% 2.75/3.16 X, Y ) }.
% 2.75/3.16 parent0: (20027) {G0,W8,D3,L2,V3,M2} { ! in( skol1( Z, Y ), Y ), subset( X
% 2.75/3.16 , Y ) }.
% 2.75/3.16 substitution0:
% 2.75/3.16 X := X
% 2.75/3.16 Y := Y
% 2.75/3.16 Z := Z
% 2.75/3.16 end
% 2.75/3.16 permutation0:
% 2.75/3.16 0 ==> 0
% 2.75/3.16 1 ==> 1
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 subsumption: (7) {G0,W8,D3,L2,V2,M2} I { in( skol1( X, Y ), X ), subset( X
% 2.75/3.16 , Y ) }.
% 2.75/3.16 parent0: (20028) {G0,W8,D3,L2,V2,M2} { in( skol1( X, Y ), X ), subset( X,
% 2.75/3.16 Y ) }.
% 2.75/3.16 substitution0:
% 2.75/3.16 X := X
% 2.75/3.16 Y := Y
% 2.75/3.16 end
% 2.75/3.16 permutation0:
% 2.75/3.16 0 ==> 0
% 2.75/3.16 1 ==> 1
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 *** allocated 384427 integers for termspace/termends
% 2.75/3.16 subsumption: (29) {G0,W12,D4,L3,V3,M3} I { ! relation( X ), ! in( Y,
% 2.75/3.16 relation_field( relation_restriction( X, Z ) ) ), in( Y, relation_field(
% 2.75/3.16 X ) ) }.
% 2.75/3.16 parent0: (20058) {G0,W12,D4,L3,V3,M3} { ! relation( X ), ! in( Y,
% 2.75/3.16 relation_field( relation_restriction( X, Z ) ) ), in( Y, relation_field(
% 2.75/3.16 X ) ) }.
% 2.75/3.16 substitution0:
% 2.75/3.16 X := X
% 2.75/3.16 Y := Y
% 2.75/3.16 Z := Z
% 2.75/3.16 end
% 2.75/3.16 permutation0:
% 2.75/3.16 0 ==> 0
% 2.75/3.16 1 ==> 1
% 2.75/3.16 2 ==> 2
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 subsumption: (30) {G0,W11,D4,L3,V3,M3} I { ! relation( X ), ! in( Y,
% 2.75/3.16 relation_field( relation_restriction( X, Z ) ) ), in( Y, Z ) }.
% 2.75/3.16 parent0: (20059) {G0,W11,D4,L3,V3,M3} { ! relation( X ), ! in( Y,
% 2.75/3.16 relation_field( relation_restriction( X, Z ) ) ), in( Y, Z ) }.
% 2.75/3.16 substitution0:
% 2.75/3.16 X := X
% 2.75/3.16 Y := Y
% 2.75/3.16 Z := Z
% 2.75/3.16 end
% 2.75/3.16 permutation0:
% 2.75/3.16 0 ==> 0
% 2.75/3.16 1 ==> 1
% 2.75/3.16 2 ==> 2
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 subsumption: (33) {G0,W2,D2,L1,V0,M1} I { relation( skol8 ) }.
% 2.75/3.16 parent0: (20062) {G0,W2,D2,L1,V0,M1} { relation( skol8 ) }.
% 2.75/3.16 substitution0:
% 2.75/3.16 end
% 2.75/3.16 permutation0:
% 2.75/3.16 0 ==> 0
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 subsumption: (34) {G0,W13,D4,L2,V0,M2} I { ! subset( relation_field(
% 2.75/3.16 relation_restriction( skol8, skol9 ) ), relation_field( skol8 ) ), !
% 2.75/3.16 subset( relation_field( relation_restriction( skol8, skol9 ) ), skol9 )
% 2.75/3.16 }.
% 2.75/3.16 parent0: (20063) {G0,W13,D4,L2,V0,M2} { ! subset( relation_field(
% 2.75/3.16 relation_restriction( skol8, skol9 ) ), relation_field( skol8 ) ), !
% 2.75/3.16 subset( relation_field( relation_restriction( skol8, skol9 ) ), skol9 )
% 2.75/3.16 }.
% 2.75/3.16 substitution0:
% 2.75/3.16 end
% 2.75/3.16 permutation0:
% 2.75/3.16 0 ==> 0
% 2.75/3.16 1 ==> 1
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 resolution: (20097) {G1,W15,D4,L3,V4,M3} { subset( Z, relation_field( Y )
% 2.75/3.16 ), ! relation( Y ), ! in( skol1( X, relation_field( Y ) ),
% 2.75/3.16 relation_field( relation_restriction( Y, T ) ) ) }.
% 2.75/3.16 parent0[0]: (6) {G0,W8,D3,L2,V3,M2} I { ! in( skol1( Z, Y ), Y ), subset( X
% 2.75/3.16 , Y ) }.
% 2.75/3.16 parent1[2]: (29) {G0,W12,D4,L3,V3,M3} I { ! relation( X ), ! in( Y,
% 2.75/3.16 relation_field( relation_restriction( X, Z ) ) ), in( Y, relation_field(
% 2.75/3.16 X ) ) }.
% 2.75/3.16 substitution0:
% 2.75/3.16 X := Z
% 2.75/3.16 Y := relation_field( Y )
% 2.75/3.16 Z := X
% 2.75/3.16 end
% 2.75/3.16 substitution1:
% 2.75/3.16 X := Y
% 2.75/3.16 Y := skol1( X, relation_field( Y ) )
% 2.75/3.16 Z := T
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 subsumption: (164) {G1,W15,D4,L3,V4,M3} R(29,6) { ! relation( X ), ! in(
% 2.75/3.16 skol1( Y, relation_field( X ) ), relation_field( relation_restriction( X
% 2.75/3.16 , Z ) ) ), subset( T, relation_field( X ) ) }.
% 2.75/3.16 parent0: (20097) {G1,W15,D4,L3,V4,M3} { subset( Z, relation_field( Y ) ),
% 2.75/3.16 ! relation( Y ), ! in( skol1( X, relation_field( Y ) ), relation_field(
% 2.75/3.16 relation_restriction( Y, T ) ) ) }.
% 2.75/3.16 substitution0:
% 2.75/3.16 X := Y
% 2.75/3.16 Y := X
% 2.75/3.16 Z := T
% 2.75/3.16 T := Z
% 2.75/3.16 end
% 2.75/3.16 permutation0:
% 2.75/3.16 0 ==> 2
% 2.75/3.16 1 ==> 0
% 2.75/3.16 2 ==> 1
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 resolution: (20098) {G1,W16,D5,L3,V3,M3} { ! relation( X ), in( skol1(
% 2.75/3.16 relation_field( relation_restriction( X, Y ) ), Z ), Y ), subset(
% 2.75/3.16 relation_field( relation_restriction( X, Y ) ), Z ) }.
% 2.75/3.16 parent0[1]: (30) {G0,W11,D4,L3,V3,M3} I { ! relation( X ), ! in( Y,
% 2.75/3.16 relation_field( relation_restriction( X, Z ) ) ), in( Y, Z ) }.
% 2.75/3.16 parent1[0]: (7) {G0,W8,D3,L2,V2,M2} I { in( skol1( X, Y ), X ), subset( X,
% 2.75/3.16 Y ) }.
% 2.75/3.16 substitution0:
% 2.75/3.16 X := X
% 2.75/3.16 Y := skol1( relation_field( relation_restriction( X, Y ) ), Z )
% 2.75/3.16 Z := Y
% 2.75/3.16 end
% 2.75/3.16 substitution1:
% 2.75/3.16 X := relation_field( relation_restriction( X, Y ) )
% 2.75/3.16 Y := Z
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 subsumption: (201) {G1,W16,D5,L3,V3,M3} R(30,7) { ! relation( X ), in(
% 2.75/3.16 skol1( relation_field( relation_restriction( X, Y ) ), Z ), Y ), subset(
% 2.75/3.16 relation_field( relation_restriction( X, Y ) ), Z ) }.
% 2.75/3.16 parent0: (20098) {G1,W16,D5,L3,V3,M3} { ! relation( X ), in( skol1(
% 2.75/3.16 relation_field( relation_restriction( X, Y ) ), Z ), Y ), subset(
% 2.75/3.16 relation_field( relation_restriction( X, Y ) ), Z ) }.
% 2.75/3.16 substitution0:
% 2.75/3.16 X := X
% 2.75/3.16 Y := Y
% 2.75/3.16 Z := Z
% 2.75/3.16 end
% 2.75/3.16 permutation0:
% 2.75/3.16 0 ==> 0
% 2.75/3.16 1 ==> 1
% 2.75/3.16 2 ==> 2
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 resolution: (20099) {G1,W18,D5,L2,V0,M2} { ! subset( relation_field(
% 2.75/3.16 relation_restriction( skol8, skol9 ) ), skol9 ), in( skol1(
% 2.75/3.16 relation_field( relation_restriction( skol8, skol9 ) ), relation_field(
% 2.75/3.16 skol8 ) ), relation_field( relation_restriction( skol8, skol9 ) ) ) }.
% 2.75/3.16 parent0[0]: (34) {G0,W13,D4,L2,V0,M2} I { ! subset( relation_field(
% 2.75/3.16 relation_restriction( skol8, skol9 ) ), relation_field( skol8 ) ), !
% 2.75/3.16 subset( relation_field( relation_restriction( skol8, skol9 ) ), skol9 )
% 2.75/3.16 }.
% 2.75/3.16 parent1[1]: (7) {G0,W8,D3,L2,V2,M2} I { in( skol1( X, Y ), X ), subset( X,
% 2.75/3.16 Y ) }.
% 2.75/3.16 substitution0:
% 2.75/3.16 end
% 2.75/3.16 substitution1:
% 2.75/3.16 X := relation_field( relation_restriction( skol8, skol9 ) )
% 2.75/3.16 Y := relation_field( skol8 )
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 subsumption: (233) {G1,W18,D5,L2,V0,M2} R(34,7) { ! subset( relation_field
% 2.75/3.16 ( relation_restriction( skol8, skol9 ) ), skol9 ), in( skol1(
% 2.75/3.16 relation_field( relation_restriction( skol8, skol9 ) ), relation_field(
% 2.75/3.16 skol8 ) ), relation_field( relation_restriction( skol8, skol9 ) ) ) }.
% 2.75/3.16 parent0: (20099) {G1,W18,D5,L2,V0,M2} { ! subset( relation_field(
% 2.75/3.16 relation_restriction( skol8, skol9 ) ), skol9 ), in( skol1(
% 2.75/3.16 relation_field( relation_restriction( skol8, skol9 ) ), relation_field(
% 2.75/3.16 skol8 ) ), relation_field( relation_restriction( skol8, skol9 ) ) ) }.
% 2.75/3.16 substitution0:
% 2.75/3.16 end
% 2.75/3.16 permutation0:
% 2.75/3.16 0 ==> 0
% 2.75/3.16 1 ==> 1
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 resolution: (20101) {G1,W17,D4,L3,V2,M3} { ! subset( relation_field(
% 2.75/3.16 relation_restriction( skol8, skol9 ) ), skol9 ), ! relation( skol8 ), !
% 2.75/3.16 in( skol1( X, relation_field( skol8 ) ), relation_field(
% 2.75/3.16 relation_restriction( skol8, Y ) ) ) }.
% 2.75/3.16 parent0[0]: (34) {G0,W13,D4,L2,V0,M2} I { ! subset( relation_field(
% 2.75/3.16 relation_restriction( skol8, skol9 ) ), relation_field( skol8 ) ), !
% 2.75/3.16 subset( relation_field( relation_restriction( skol8, skol9 ) ), skol9 )
% 2.75/3.16 }.
% 2.75/3.16 parent1[2]: (164) {G1,W15,D4,L3,V4,M3} R(29,6) { ! relation( X ), ! in(
% 2.75/3.16 skol1( Y, relation_field( X ) ), relation_field( relation_restriction( X
% 2.75/3.16 , Z ) ) ), subset( T, relation_field( X ) ) }.
% 2.75/3.16 substitution0:
% 2.75/3.16 end
% 2.75/3.16 substitution1:
% 2.75/3.16 X := skol8
% 2.75/3.16 Y := X
% 2.75/3.16 Z := Y
% 2.75/3.16 T := relation_field( relation_restriction( skol8, skol9 ) )
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 resolution: (20102) {G1,W15,D4,L2,V2,M2} { ! subset( relation_field(
% 2.75/3.16 relation_restriction( skol8, skol9 ) ), skol9 ), ! in( skol1( X,
% 2.75/3.16 relation_field( skol8 ) ), relation_field( relation_restriction( skol8, Y
% 2.75/3.16 ) ) ) }.
% 2.75/3.16 parent0[1]: (20101) {G1,W17,D4,L3,V2,M3} { ! subset( relation_field(
% 2.75/3.16 relation_restriction( skol8, skol9 ) ), skol9 ), ! relation( skol8 ), !
% 2.75/3.16 in( skol1( X, relation_field( skol8 ) ), relation_field(
% 2.75/3.16 relation_restriction( skol8, Y ) ) ) }.
% 2.75/3.16 parent1[0]: (33) {G0,W2,D2,L1,V0,M1} I { relation( skol8 ) }.
% 2.75/3.16 substitution0:
% 2.75/3.16 X := X
% 2.75/3.16 Y := Y
% 2.75/3.16 end
% 2.75/3.16 substitution1:
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 subsumption: (5286) {G2,W15,D4,L2,V2,M2} R(164,34);r(33) { ! in( skol1( X,
% 2.75/3.16 relation_field( skol8 ) ), relation_field( relation_restriction( skol8, Y
% 2.75/3.16 ) ) ), ! subset( relation_field( relation_restriction( skol8, skol9 ) )
% 2.75/3.16 , skol9 ) }.
% 2.75/3.16 parent0: (20102) {G1,W15,D4,L2,V2,M2} { ! subset( relation_field(
% 2.75/3.16 relation_restriction( skol8, skol9 ) ), skol9 ), ! in( skol1( X,
% 2.75/3.16 relation_field( skol8 ) ), relation_field( relation_restriction( skol8, Y
% 2.75/3.16 ) ) ) }.
% 2.75/3.16 substitution0:
% 2.75/3.16 X := X
% 2.75/3.16 Y := Y
% 2.75/3.16 end
% 2.75/3.16 permutation0:
% 2.75/3.16 0 ==> 1
% 2.75/3.16 1 ==> 0
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 resolution: (20103) {G2,W12,D4,L2,V0,M2} { ! subset( relation_field(
% 2.75/3.16 relation_restriction( skol8, skol9 ) ), skol9 ), ! subset( relation_field
% 2.75/3.16 ( relation_restriction( skol8, skol9 ) ), skol9 ) }.
% 2.75/3.16 parent0[0]: (5286) {G2,W15,D4,L2,V2,M2} R(164,34);r(33) { ! in( skol1( X,
% 2.75/3.16 relation_field( skol8 ) ), relation_field( relation_restriction( skol8, Y
% 2.75/3.16 ) ) ), ! subset( relation_field( relation_restriction( skol8, skol9 ) )
% 2.75/3.16 , skol9 ) }.
% 2.75/3.16 parent1[1]: (233) {G1,W18,D5,L2,V0,M2} R(34,7) { ! subset( relation_field(
% 2.75/3.16 relation_restriction( skol8, skol9 ) ), skol9 ), in( skol1(
% 2.75/3.16 relation_field( relation_restriction( skol8, skol9 ) ), relation_field(
% 2.75/3.16 skol8 ) ), relation_field( relation_restriction( skol8, skol9 ) ) ) }.
% 2.75/3.16 substitution0:
% 2.75/3.16 X := relation_field( relation_restriction( skol8, skol9 ) )
% 2.75/3.16 Y := skol9
% 2.75/3.16 end
% 2.75/3.16 substitution1:
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 factor: (20104) {G2,W6,D4,L1,V0,M1} { ! subset( relation_field(
% 2.75/3.16 relation_restriction( skol8, skol9 ) ), skol9 ) }.
% 2.75/3.16 parent0[0, 1]: (20103) {G2,W12,D4,L2,V0,M2} { ! subset( relation_field(
% 2.75/3.16 relation_restriction( skol8, skol9 ) ), skol9 ), ! subset( relation_field
% 2.75/3.16 ( relation_restriction( skol8, skol9 ) ), skol9 ) }.
% 2.75/3.16 substitution0:
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 subsumption: (12908) {G3,W6,D4,L1,V0,M1} S(233);r(5286) { ! subset(
% 2.75/3.16 relation_field( relation_restriction( skol8, skol9 ) ), skol9 ) }.
% 2.75/3.16 parent0: (20104) {G2,W6,D4,L1,V0,M1} { ! subset( relation_field(
% 2.75/3.16 relation_restriction( skol8, skol9 ) ), skol9 ) }.
% 2.75/3.16 substitution0:
% 2.75/3.16 end
% 2.75/3.16 permutation0:
% 2.75/3.16 0 ==> 0
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 resolution: (20105) {G2,W10,D5,L2,V0,M2} { ! relation( skol8 ), in( skol1
% 2.75/3.16 ( relation_field( relation_restriction( skol8, skol9 ) ), skol9 ), skol9
% 2.75/3.16 ) }.
% 2.75/3.16 parent0[0]: (12908) {G3,W6,D4,L1,V0,M1} S(233);r(5286) { ! subset(
% 2.75/3.16 relation_field( relation_restriction( skol8, skol9 ) ), skol9 ) }.
% 2.75/3.16 parent1[2]: (201) {G1,W16,D5,L3,V3,M3} R(30,7) { ! relation( X ), in( skol1
% 2.75/3.16 ( relation_field( relation_restriction( X, Y ) ), Z ), Y ), subset(
% 2.75/3.16 relation_field( relation_restriction( X, Y ) ), Z ) }.
% 2.75/3.16 substitution0:
% 2.75/3.16 end
% 2.75/3.16 substitution1:
% 2.75/3.16 X := skol8
% 2.75/3.16 Y := skol9
% 2.75/3.16 Z := skol9
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 resolution: (20106) {G1,W8,D5,L1,V0,M1} { in( skol1( relation_field(
% 2.75/3.16 relation_restriction( skol8, skol9 ) ), skol9 ), skol9 ) }.
% 2.75/3.16 parent0[0]: (20105) {G2,W10,D5,L2,V0,M2} { ! relation( skol8 ), in( skol1
% 2.75/3.16 ( relation_field( relation_restriction( skol8, skol9 ) ), skol9 ), skol9
% 2.75/3.16 ) }.
% 2.75/3.16 parent1[0]: (33) {G0,W2,D2,L1,V0,M1} I { relation( skol8 ) }.
% 2.75/3.16 substitution0:
% 2.75/3.16 end
% 2.75/3.16 substitution1:
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 subsumption: (12910) {G4,W8,D5,L1,V0,M1} R(12908,201);r(33) { in( skol1(
% 2.75/3.16 relation_field( relation_restriction( skol8, skol9 ) ), skol9 ), skol9 )
% 2.75/3.16 }.
% 2.75/3.16 parent0: (20106) {G1,W8,D5,L1,V0,M1} { in( skol1( relation_field(
% 2.75/3.16 relation_restriction( skol8, skol9 ) ), skol9 ), skol9 ) }.
% 2.75/3.16 substitution0:
% 2.75/3.16 end
% 2.75/3.16 permutation0:
% 2.75/3.16 0 ==> 0
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 resolution: (20107) {G1,W5,D3,L1,V1,M1} { ! in( skol1( X, skol9 ), skol9 )
% 2.75/3.16 }.
% 2.75/3.16 parent0[0]: (12908) {G3,W6,D4,L1,V0,M1} S(233);r(5286) { ! subset(
% 2.75/3.16 relation_field( relation_restriction( skol8, skol9 ) ), skol9 ) }.
% 2.75/3.16 parent1[1]: (6) {G0,W8,D3,L2,V3,M2} I { ! in( skol1( Z, Y ), Y ), subset( X
% 2.75/3.16 , Y ) }.
% 2.75/3.16 substitution0:
% 2.75/3.16 end
% 2.75/3.16 substitution1:
% 2.75/3.16 X := relation_field( relation_restriction( skol8, skol9 ) )
% 2.75/3.16 Y := skol9
% 2.75/3.16 Z := X
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 subsumption: (12922) {G4,W5,D3,L1,V1,M1} R(12908,6) { ! in( skol1( X, skol9
% 2.75/3.16 ), skol9 ) }.
% 2.75/3.16 parent0: (20107) {G1,W5,D3,L1,V1,M1} { ! in( skol1( X, skol9 ), skol9 )
% 2.75/3.16 }.
% 2.75/3.16 substitution0:
% 2.75/3.16 X := X
% 2.75/3.16 end
% 2.75/3.16 permutation0:
% 2.75/3.16 0 ==> 0
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 resolution: (20108) {G5,W0,D0,L0,V0,M0} { }.
% 2.75/3.16 parent0[0]: (12922) {G4,W5,D3,L1,V1,M1} R(12908,6) { ! in( skol1( X, skol9
% 2.75/3.16 ), skol9 ) }.
% 2.75/3.16 parent1[0]: (12910) {G4,W8,D5,L1,V0,M1} R(12908,201);r(33) { in( skol1(
% 2.75/3.16 relation_field( relation_restriction( skol8, skol9 ) ), skol9 ), skol9 )
% 2.75/3.16 }.
% 2.75/3.16 substitution0:
% 2.75/3.16 X := relation_field( relation_restriction( skol8, skol9 ) )
% 2.75/3.16 end
% 2.75/3.16 substitution1:
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 subsumption: (20017) {G5,W0,D0,L0,V0,M0} S(12910);r(12922) { }.
% 2.75/3.16 parent0: (20108) {G5,W0,D0,L0,V0,M0} { }.
% 2.75/3.16 substitution0:
% 2.75/3.16 end
% 2.75/3.16 permutation0:
% 2.75/3.16 end
% 2.75/3.16
% 2.75/3.16 Proof check complete!
% 2.75/3.16
% 2.75/3.16 Memory use:
% 2.75/3.16
% 2.75/3.16 space for terms: 255919
% 2.75/3.16 space for clauses: 903039
% 2.75/3.16
% 2.75/3.16
% 2.75/3.16 clauses generated: 78057
% 2.75/3.16 clauses kept: 20018
% 2.75/3.16 clauses selected: 850
% 2.75/3.16 clauses deleted: 714
% 2.75/3.16 clauses inuse deleted: 108
% 2.75/3.16
% 2.75/3.16 subsentry: 385552
% 2.75/3.16 literals s-matched: 232079
% 2.75/3.16 literals matched: 220034
% 2.75/3.16 full subsumption: 31626
% 2.75/3.16
% 2.75/3.16 checksum: -1988005157
% 2.75/3.16
% 2.75/3.16
% 2.75/3.16 Bliksem ended
%------------------------------------------------------------------------------