TSTP Solution File: SEU041+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU041+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 07:10:23 EDT 2022
% Result : Theorem 0.43s 1.07s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU041+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jun 20 11:07:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.43/1.07 *** allocated 10000 integers for termspace/termends
% 0.43/1.07 *** allocated 10000 integers for clauses
% 0.43/1.07 *** allocated 10000 integers for justifications
% 0.43/1.07 Bliksem 1.12
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Automatic Strategy Selection
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Clauses:
% 0.43/1.07
% 0.43/1.07 { ! in( X, Y ), ! in( Y, X ) }.
% 0.43/1.07 { empty( empty_set ) }.
% 0.43/1.07 { relation( empty_set ) }.
% 0.43/1.07 { empty( empty_set ) }.
% 0.43/1.07 { relation( empty_set ) }.
% 0.43/1.07 { relation_empty_yielding( empty_set ) }.
% 0.43/1.07 { empty( empty_set ) }.
% 0.43/1.07 { ! in( X, Y ), element( X, Y ) }.
% 0.43/1.07 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 0.43/1.07 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 0.43/1.07 { element( skol1( X ), X ) }.
% 0.43/1.07 { ! empty( X ), function( X ) }.
% 0.43/1.07 { ! relation( X ), ! empty( X ), ! function( X ), relation( X ) }.
% 0.43/1.07 { ! relation( X ), ! empty( X ), ! function( X ), function( X ) }.
% 0.43/1.07 { ! relation( X ), ! empty( X ), ! function( X ), one_to_one( X ) }.
% 0.43/1.07 { ! empty( powerset( X ) ) }.
% 0.43/1.07 { ! relation( X ), ! relation_empty_yielding( X ), relation(
% 0.43/1.07 relation_dom_restriction( X, Y ) ) }.
% 0.43/1.07 { ! relation( X ), ! relation_empty_yielding( X ), relation_empty_yielding
% 0.43/1.07 ( relation_dom_restriction( X, Y ) ) }.
% 0.43/1.07 { ! empty( X ), relation( X ) }.
% 0.43/1.07 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.43/1.07 { ! empty( X ), X = empty_set }.
% 0.43/1.07 { ! in( X, Y ), ! empty( Y ) }.
% 0.43/1.07 { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.43/1.07 { subset( X, X ) }.
% 0.43/1.07 { ! relation( X ), relation( relation_dom_restriction( X, Y ) ) }.
% 0.43/1.07 { ! relation( X ), ! function( X ), relation( relation_dom_restriction( X,
% 0.43/1.07 Y ) ) }.
% 0.43/1.07 { ! relation( X ), ! function( X ), function( relation_dom_restriction( X,
% 0.43/1.07 Y ) ) }.
% 0.43/1.07 { relation( skol2 ) }.
% 0.43/1.07 { function( skol2 ) }.
% 0.43/1.07 { relation( skol3 ) }.
% 0.43/1.07 { empty( skol3 ) }.
% 0.43/1.07 { function( skol3 ) }.
% 0.43/1.07 { relation( skol4 ) }.
% 0.43/1.07 { function( skol4 ) }.
% 0.43/1.07 { one_to_one( skol4 ) }.
% 0.43/1.07 { empty( X ), ! empty( skol5( Y ) ) }.
% 0.43/1.07 { empty( X ), element( skol5( X ), powerset( X ) ) }.
% 0.43/1.07 { empty( skol6( Y ) ) }.
% 0.43/1.07 { element( skol6( X ), powerset( X ) ) }.
% 0.43/1.07 { empty( skol7 ) }.
% 0.43/1.07 { relation( skol7 ) }.
% 0.43/1.07 { ! empty( skol8 ) }.
% 0.43/1.07 { relation( skol8 ) }.
% 0.43/1.07 { relation( skol9 ) }.
% 0.43/1.07 { relation_empty_yielding( skol9 ) }.
% 0.43/1.07 { empty( skol10 ) }.
% 0.43/1.07 { ! empty( skol11 ) }.
% 0.43/1.07 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 0.43/1.07 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 0.43/1.07 { relation( skol12 ) }.
% 0.43/1.07 { function( skol12 ) }.
% 0.43/1.07 { subset( skol13, skol14 ) }.
% 0.43/1.07 { ! relation_dom_restriction( relation_dom_restriction( skol12, skol13 ),
% 0.43/1.07 skol14 ) = relation_dom_restriction( skol12, skol13 ), !
% 0.43/1.07 relation_dom_restriction( relation_dom_restriction( skol12, skol14 ),
% 0.43/1.07 skol13 ) = relation_dom_restriction( skol12, skol13 ) }.
% 0.43/1.07 { ! relation( X ), ! subset( Y, Z ), relation_dom_restriction(
% 0.43/1.07 relation_dom_restriction( X, Y ), Z ) = relation_dom_restriction( X, Y )
% 0.43/1.07 }.
% 0.43/1.07 { ! relation( X ), ! subset( Y, Z ), relation_dom_restriction(
% 0.43/1.07 relation_dom_restriction( X, Z ), Y ) = relation_dom_restriction( X, Y )
% 0.43/1.07 }.
% 0.43/1.07
% 0.43/1.07 percentage equality = 0.073171, percentage horn = 0.959184
% 0.43/1.07 This is a problem with some equality
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Options Used:
% 0.43/1.07
% 0.43/1.07 useres = 1
% 0.43/1.07 useparamod = 1
% 0.43/1.07 useeqrefl = 1
% 0.43/1.07 useeqfact = 1
% 0.43/1.07 usefactor = 1
% 0.43/1.07 usesimpsplitting = 0
% 0.43/1.07 usesimpdemod = 5
% 0.43/1.07 usesimpres = 3
% 0.43/1.07
% 0.43/1.07 resimpinuse = 1000
% 0.43/1.07 resimpclauses = 20000
% 0.43/1.07 substype = eqrewr
% 0.43/1.07 backwardsubs = 1
% 0.43/1.07 selectoldest = 5
% 0.43/1.07
% 0.43/1.07 litorderings [0] = split
% 0.43/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.07
% 0.43/1.07 termordering = kbo
% 0.43/1.07
% 0.43/1.07 litapriori = 0
% 0.43/1.07 termapriori = 1
% 0.43/1.07 litaposteriori = 0
% 0.43/1.07 termaposteriori = 0
% 0.43/1.07 demodaposteriori = 0
% 0.43/1.07 ordereqreflfact = 0
% 0.43/1.07
% 0.43/1.07 litselect = negord
% 0.43/1.07
% 0.43/1.07 maxweight = 15
% 0.43/1.07 maxdepth = 30000
% 0.43/1.07 maxlength = 115
% 0.43/1.07 maxnrvars = 195
% 0.43/1.07 excuselevel = 1
% 0.43/1.07 increasemaxweight = 1
% 0.43/1.07
% 0.43/1.07 maxselected = 10000000
% 0.43/1.07 maxnrclauses = 10000000
% 0.43/1.07
% 0.43/1.07 showgenerated = 0
% 0.43/1.07 showkept = 0
% 0.43/1.07 showselected = 0
% 0.43/1.07 showdeleted = 0
% 0.43/1.07 showresimp = 1
% 0.43/1.07 showstatus = 2000
% 0.43/1.07
% 0.43/1.07 prologoutput = 0
% 0.43/1.07 nrgoals = 5000000
% 0.43/1.07 totalproof = 1
% 0.43/1.07
% 0.43/1.07 Symbols occurring in the translation:
% 0.43/1.07
% 0.43/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.07 . [1, 2] (w:1, o:35, a:1, s:1, b:0),
% 0.43/1.07 ! [4, 1] (w:0, o:21, a:1, s:1, b:0),
% 0.43/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.07 in [37, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.43/1.07 empty_set [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.43/1.07 empty [39, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.43/1.07 relation [40, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.43/1.07 relation_empty_yielding [41, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.43/1.07 element [42, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.43/1.07 powerset [44, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.43/1.07 function [45, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.43/1.07 one_to_one [46, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.43/1.07 relation_dom_restriction [47, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.43/1.07 subset [48, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.43/1.07 skol1 [49, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.43/1.07 skol2 [50, 0] (w:1, o:15, a:1, s:1, b:1),
% 0.43/1.07 skol3 [51, 0] (w:1, o:16, a:1, s:1, b:1),
% 0.43/1.07 skol4 [52, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.43/1.07 skol5 [53, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.43/1.07 skol6 [54, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.43/1.07 skol7 [55, 0] (w:1, o:18, a:1, s:1, b:1),
% 0.43/1.07 skol8 [56, 0] (w:1, o:19, a:1, s:1, b:1),
% 0.43/1.07 skol9 [57, 0] (w:1, o:20, a:1, s:1, b:1),
% 0.43/1.07 skol10 [58, 0] (w:1, o:10, a:1, s:1, b:1),
% 0.43/1.07 skol11 [59, 0] (w:1, o:11, a:1, s:1, b:1),
% 0.43/1.07 skol12 [60, 0] (w:1, o:12, a:1, s:1, b:1),
% 0.43/1.07 skol13 [61, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.43/1.07 skol14 [62, 0] (w:1, o:14, a:1, s:1, b:1).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Starting Search:
% 0.43/1.07
% 0.43/1.07 *** allocated 15000 integers for clauses
% 0.43/1.07 *** allocated 22500 integers for clauses
% 0.43/1.07
% 0.43/1.07 Bliksems!, er is een bewijs:
% 0.43/1.07 % SZS status Theorem
% 0.43/1.07 % SZS output start Refutation
% 0.43/1.07
% 0.43/1.07 (43) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 0.43/1.07 (45) {G0,W3,D2,L1,V0,M1} I { subset( skol13, skol14 ) }.
% 0.43/1.07 (46) {G0,W18,D4,L2,V0,M2} I { ! relation_dom_restriction(
% 0.43/1.07 relation_dom_restriction( skol12, skol13 ), skol14 ) ==>
% 0.43/1.07 relation_dom_restriction( skol12, skol13 ), ! relation_dom_restriction(
% 0.43/1.07 relation_dom_restriction( skol12, skol14 ), skol13 ) ==>
% 0.43/1.07 relation_dom_restriction( skol12, skol13 ) }.
% 0.43/1.07 (47) {G0,W14,D4,L3,V3,M3} I { ! relation( X ), ! subset( Y, Z ),
% 0.43/1.07 relation_dom_restriction( relation_dom_restriction( X, Y ), Z ) ==>
% 0.43/1.07 relation_dom_restriction( X, Y ) }.
% 0.43/1.07 (48) {G0,W14,D4,L3,V3,M3} I { ! relation( X ), ! subset( Y, Z ),
% 0.43/1.07 relation_dom_restriction( relation_dom_restriction( X, Z ), Y ) ==>
% 0.43/1.07 relation_dom_restriction( X, Y ) }.
% 0.43/1.07 (283) {G1,W3,D2,L1,V0,M1} R(47,46);d(48);q;r(43) { ! subset( skol13, skol14
% 0.43/1.07 ) }.
% 0.43/1.07 (304) {G2,W0,D0,L0,V0,M0} S(283);r(45) { }.
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 % SZS output end Refutation
% 0.43/1.07 found a proof!
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Unprocessed initial clauses:
% 0.43/1.07
% 0.43/1.07 (306) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 0.43/1.07 (307) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 0.43/1.07 (308) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 0.43/1.07 (309) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 0.43/1.07 (310) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 0.43/1.07 (311) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 0.43/1.07 (312) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 0.43/1.07 (313) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 0.43/1.07 (314) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y ) ),
% 0.43/1.07 element( X, Y ) }.
% 0.43/1.07 (315) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) ), !
% 0.43/1.07 empty( Z ) }.
% 0.43/1.07 (316) {G0,W4,D3,L1,V1,M1} { element( skol1( X ), X ) }.
% 0.43/1.07 (317) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 0.43/1.07 (318) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X )
% 0.43/1.07 , relation( X ) }.
% 0.43/1.07 (319) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X )
% 0.43/1.07 , function( X ) }.
% 0.43/1.07 (320) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X )
% 0.43/1.07 , one_to_one( X ) }.
% 0.43/1.07 (321) {G0,W3,D3,L1,V1,M1} { ! empty( powerset( X ) ) }.
% 0.43/1.07 (322) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! relation_empty_yielding( X
% 0.43/1.07 ), relation( relation_dom_restriction( X, Y ) ) }.
% 0.43/1.07 (323) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! relation_empty_yielding( X
% 0.43/1.07 ), relation_empty_yielding( relation_dom_restriction( X, Y ) ) }.
% 0.43/1.07 (324) {G0,W4,D2,L2,V1,M2} { ! empty( X ), relation( X ) }.
% 0.43/1.07 (325) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.43/1.07 (326) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 0.43/1.07 (327) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 0.43/1.07 (328) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.43/1.07 (329) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 0.43/1.07 (330) {G0,W6,D3,L2,V2,M2} { ! relation( X ), relation(
% 0.43/1.07 relation_dom_restriction( X, Y ) ) }.
% 0.43/1.07 (331) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! function( X ), relation(
% 0.43/1.07 relation_dom_restriction( X, Y ) ) }.
% 0.43/1.07 (332) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! function( X ), function(
% 0.43/1.07 relation_dom_restriction( X, Y ) ) }.
% 0.43/1.07 (333) {G0,W2,D2,L1,V0,M1} { relation( skol2 ) }.
% 0.43/1.07 (334) {G0,W2,D2,L1,V0,M1} { function( skol2 ) }.
% 0.43/1.07 (335) {G0,W2,D2,L1,V0,M1} { relation( skol3 ) }.
% 0.43/1.07 (336) {G0,W2,D2,L1,V0,M1} { empty( skol3 ) }.
% 0.43/1.07 (337) {G0,W2,D2,L1,V0,M1} { function( skol3 ) }.
% 0.43/1.07 (338) {G0,W2,D2,L1,V0,M1} { relation( skol4 ) }.
% 0.43/1.07 (339) {G0,W2,D2,L1,V0,M1} { function( skol4 ) }.
% 0.43/1.07 (340) {G0,W2,D2,L1,V0,M1} { one_to_one( skol4 ) }.
% 0.43/1.07 (341) {G0,W5,D3,L2,V2,M2} { empty( X ), ! empty( skol5( Y ) ) }.
% 0.43/1.07 (342) {G0,W7,D3,L2,V1,M2} { empty( X ), element( skol5( X ), powerset( X )
% 0.43/1.07 ) }.
% 0.43/1.07 (343) {G0,W3,D3,L1,V1,M1} { empty( skol6( Y ) ) }.
% 0.43/1.07 (344) {G0,W5,D3,L1,V1,M1} { element( skol6( X ), powerset( X ) ) }.
% 0.43/1.07 (345) {G0,W2,D2,L1,V0,M1} { empty( skol7 ) }.
% 0.43/1.07 (346) {G0,W2,D2,L1,V0,M1} { relation( skol7 ) }.
% 0.43/1.07 (347) {G0,W2,D2,L1,V0,M1} { ! empty( skol8 ) }.
% 0.43/1.07 (348) {G0,W2,D2,L1,V0,M1} { relation( skol8 ) }.
% 0.43/1.07 (349) {G0,W2,D2,L1,V0,M1} { relation( skol9 ) }.
% 0.43/1.07 (350) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol9 ) }.
% 0.43/1.07 (351) {G0,W2,D2,L1,V0,M1} { empty( skol10 ) }.
% 0.43/1.07 (352) {G0,W2,D2,L1,V0,M1} { ! empty( skol11 ) }.
% 0.43/1.07 (353) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y )
% 0.43/1.07 }.
% 0.43/1.07 (354) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y ) )
% 0.43/1.07 }.
% 0.43/1.07 (355) {G0,W2,D2,L1,V0,M1} { relation( skol12 ) }.
% 0.43/1.07 (356) {G0,W2,D2,L1,V0,M1} { function( skol12 ) }.
% 0.43/1.07 (357) {G0,W3,D2,L1,V0,M1} { subset( skol13, skol14 ) }.
% 0.43/1.07 (358) {G0,W18,D4,L2,V0,M2} { ! relation_dom_restriction(
% 0.43/1.07 relation_dom_restriction( skol12, skol13 ), skol14 ) =
% 0.43/1.07 relation_dom_restriction( skol12, skol13 ), ! relation_dom_restriction(
% 0.43/1.07 relation_dom_restriction( skol12, skol14 ), skol13 ) =
% 0.43/1.07 relation_dom_restriction( skol12, skol13 ) }.
% 0.43/1.07 (359) {G0,W14,D4,L3,V3,M3} { ! relation( X ), ! subset( Y, Z ),
% 0.43/1.07 relation_dom_restriction( relation_dom_restriction( X, Y ), Z ) =
% 0.43/1.07 relation_dom_restriction( X, Y ) }.
% 0.43/1.07 (360) {G0,W14,D4,L3,V3,M3} { ! relation( X ), ! subset( Y, Z ),
% 0.43/1.07 relation_dom_restriction( relation_dom_restriction( X, Z ), Y ) =
% 0.43/1.07 relation_dom_restriction( X, Y ) }.
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Total Proof:
% 0.43/1.07
% 0.43/1.07 subsumption: (43) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 0.43/1.07 parent0: (355) {G0,W2,D2,L1,V0,M1} { relation( skol12 ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (45) {G0,W3,D2,L1,V0,M1} I { subset( skol13, skol14 ) }.
% 0.43/1.07 parent0: (357) {G0,W3,D2,L1,V0,M1} { subset( skol13, skol14 ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (46) {G0,W18,D4,L2,V0,M2} I { ! relation_dom_restriction(
% 0.43/1.07 relation_dom_restriction( skol12, skol13 ), skol14 ) ==>
% 0.43/1.07 relation_dom_restriction( skol12, skol13 ), ! relation_dom_restriction(
% 0.43/1.07 relation_dom_restriction( skol12, skol14 ), skol13 ) ==>
% 0.43/1.07 relation_dom_restriction( skol12, skol13 ) }.
% 0.43/1.07 parent0: (358) {G0,W18,D4,L2,V0,M2} { ! relation_dom_restriction(
% 0.43/1.07 relation_dom_restriction( skol12, skol13 ), skol14 ) =
% 0.43/1.07 relation_dom_restriction( skol12, skol13 ), ! relation_dom_restriction(
% 0.43/1.07 relation_dom_restriction( skol12, skol14 ), skol13 ) =
% 0.43/1.07 relation_dom_restriction( skol12, skol13 ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 1 ==> 1
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (47) {G0,W14,D4,L3,V3,M3} I { ! relation( X ), ! subset( Y, Z
% 0.43/1.07 ), relation_dom_restriction( relation_dom_restriction( X, Y ), Z ) ==>
% 0.43/1.07 relation_dom_restriction( X, Y ) }.
% 0.43/1.07 parent0: (359) {G0,W14,D4,L3,V3,M3} { ! relation( X ), ! subset( Y, Z ),
% 0.43/1.07 relation_dom_restriction( relation_dom_restriction( X, Y ), Z ) =
% 0.43/1.07 relation_dom_restriction( X, Y ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 Y := Y
% 0.43/1.07 Z := Z
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 1 ==> 1
% 0.43/1.07 2 ==> 2
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (48) {G0,W14,D4,L3,V3,M3} I { ! relation( X ), ! subset( Y, Z
% 0.43/1.07 ), relation_dom_restriction( relation_dom_restriction( X, Z ), Y ) ==>
% 0.43/1.07 relation_dom_restriction( X, Y ) }.
% 0.43/1.07 parent0: (360) {G0,W14,D4,L3,V3,M3} { ! relation( X ), ! subset( Y, Z ),
% 0.43/1.07 relation_dom_restriction( relation_dom_restriction( X, Z ), Y ) =
% 0.43/1.07 relation_dom_restriction( X, Y ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 Y := Y
% 0.43/1.07 Z := Z
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 1 ==> 1
% 0.43/1.07 2 ==> 2
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 eqswap: (388) {G0,W14,D4,L3,V3,M3} { relation_dom_restriction( X, Y ) ==>
% 0.43/1.07 relation_dom_restriction( relation_dom_restriction( X, Y ), Z ), !
% 0.43/1.07 relation( X ), ! subset( Y, Z ) }.
% 0.43/1.07 parent0[2]: (47) {G0,W14,D4,L3,V3,M3} I { ! relation( X ), ! subset( Y, Z )
% 0.43/1.07 , relation_dom_restriction( relation_dom_restriction( X, Y ), Z ) ==>
% 0.43/1.07 relation_dom_restriction( X, Y ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 Y := Y
% 0.43/1.07 Z := Z
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 eqswap: (389) {G0,W18,D4,L2,V0,M2} { ! relation_dom_restriction( skol12,
% 0.43/1.07 skol13 ) ==> relation_dom_restriction( relation_dom_restriction( skol12,
% 0.43/1.07 skol13 ), skol14 ), ! relation_dom_restriction( relation_dom_restriction
% 0.43/1.07 ( skol12, skol14 ), skol13 ) ==> relation_dom_restriction( skol12, skol13
% 0.43/1.07 ) }.
% 0.43/1.07 parent0[0]: (46) {G0,W18,D4,L2,V0,M2} I { ! relation_dom_restriction(
% 0.43/1.07 relation_dom_restriction( skol12, skol13 ), skol14 ) ==>
% 0.43/1.07 relation_dom_restriction( skol12, skol13 ), ! relation_dom_restriction(
% 0.43/1.07 relation_dom_restriction( skol12, skol14 ), skol13 ) ==>
% 0.43/1.07 relation_dom_restriction( skol12, skol13 ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (393) {G1,W14,D4,L3,V0,M3} { ! relation_dom_restriction(
% 0.43/1.07 relation_dom_restriction( skol12, skol14 ), skol13 ) ==>
% 0.43/1.07 relation_dom_restriction( skol12, skol13 ), ! relation( skol12 ), !
% 0.43/1.07 subset( skol13, skol14 ) }.
% 0.43/1.07 parent0[0]: (389) {G0,W18,D4,L2,V0,M2} { ! relation_dom_restriction(
% 0.43/1.07 skol12, skol13 ) ==> relation_dom_restriction( relation_dom_restriction(
% 0.43/1.07 skol12, skol13 ), skol14 ), ! relation_dom_restriction(
% 0.43/1.07 relation_dom_restriction( skol12, skol14 ), skol13 ) ==>
% 0.43/1.07 relation_dom_restriction( skol12, skol13 ) }.
% 0.43/1.07 parent1[0]: (388) {G0,W14,D4,L3,V3,M3} { relation_dom_restriction( X, Y )
% 0.43/1.07 ==> relation_dom_restriction( relation_dom_restriction( X, Y ), Z ), !
% 0.43/1.07 relation( X ), ! subset( Y, Z ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 X := skol12
% 0.43/1.07 Y := skol13
% 0.43/1.07 Z := skol14
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 paramod: (394) {G1,W17,D3,L5,V0,M5} { ! relation_dom_restriction( skol12,
% 0.43/1.07 skol13 ) ==> relation_dom_restriction( skol12, skol13 ), ! relation(
% 0.43/1.07 skol12 ), ! subset( skol13, skol14 ), ! relation( skol12 ), ! subset(
% 0.43/1.07 skol13, skol14 ) }.
% 0.43/1.07 parent0[2]: (48) {G0,W14,D4,L3,V3,M3} I { ! relation( X ), ! subset( Y, Z )
% 0.43/1.07 , relation_dom_restriction( relation_dom_restriction( X, Z ), Y ) ==>
% 0.43/1.07 relation_dom_restriction( X, Y ) }.
% 0.43/1.07 parent1[0; 2]: (393) {G1,W14,D4,L3,V0,M3} { ! relation_dom_restriction(
% 0.43/1.07 relation_dom_restriction( skol12, skol14 ), skol13 ) ==>
% 0.43/1.07 relation_dom_restriction( skol12, skol13 ), ! relation( skol12 ), !
% 0.43/1.07 subset( skol13, skol14 ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := skol12
% 0.43/1.07 Y := skol13
% 0.43/1.07 Z := skol14
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 factor: (395) {G1,W15,D3,L4,V0,M4} { ! relation_dom_restriction( skol12,
% 0.43/1.07 skol13 ) ==> relation_dom_restriction( skol12, skol13 ), ! relation(
% 0.43/1.07 skol12 ), ! subset( skol13, skol14 ), ! subset( skol13, skol14 ) }.
% 0.43/1.07 parent0[1, 3]: (394) {G1,W17,D3,L5,V0,M5} { ! relation_dom_restriction(
% 0.43/1.07 skol12, skol13 ) ==> relation_dom_restriction( skol12, skol13 ), !
% 0.43/1.07 relation( skol12 ), ! subset( skol13, skol14 ), ! relation( skol12 ), !
% 0.43/1.07 subset( skol13, skol14 ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 eqrefl: (398) {G0,W8,D2,L3,V0,M3} { ! relation( skol12 ), ! subset( skol13
% 0.43/1.07 , skol14 ), ! subset( skol13, skol14 ) }.
% 0.43/1.07 parent0[0]: (395) {G1,W15,D3,L4,V0,M4} { ! relation_dom_restriction(
% 0.43/1.07 skol12, skol13 ) ==> relation_dom_restriction( skol12, skol13 ), !
% 0.43/1.07 relation( skol12 ), ! subset( skol13, skol14 ), ! subset( skol13, skol14
% 0.43/1.07 ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 factor: (399) {G0,W5,D2,L2,V0,M2} { ! relation( skol12 ), ! subset( skol13
% 0.43/1.07 , skol14 ) }.
% 0.43/1.07 parent0[1, 2]: (398) {G0,W8,D2,L3,V0,M3} { ! relation( skol12 ), ! subset
% 0.43/1.07 ( skol13, skol14 ), ! subset( skol13, skol14 ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (400) {G1,W3,D2,L1,V0,M1} { ! subset( skol13, skol14 ) }.
% 0.43/1.07 parent0[0]: (399) {G0,W5,D2,L2,V0,M2} { ! relation( skol12 ), ! subset(
% 0.43/1.07 skol13, skol14 ) }.
% 0.43/1.07 parent1[0]: (43) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (283) {G1,W3,D2,L1,V0,M1} R(47,46);d(48);q;r(43) { ! subset(
% 0.43/1.07 skol13, skol14 ) }.
% 0.43/1.07 parent0: (400) {G1,W3,D2,L1,V0,M1} { ! subset( skol13, skol14 ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (401) {G1,W0,D0,L0,V0,M0} { }.
% 0.43/1.07 parent0[0]: (283) {G1,W3,D2,L1,V0,M1} R(47,46);d(48);q;r(43) { ! subset(
% 0.43/1.07 skol13, skol14 ) }.
% 0.43/1.07 parent1[0]: (45) {G0,W3,D2,L1,V0,M1} I { subset( skol13, skol14 ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (304) {G2,W0,D0,L0,V0,M0} S(283);r(45) { }.
% 0.43/1.07 parent0: (401) {G1,W0,D0,L0,V0,M0} { }.
% 0.43/1.07 substitution0:
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 Proof check complete!
% 0.43/1.07
% 0.43/1.07 Memory use:
% 0.43/1.07
% 0.43/1.07 space for terms: 3471
% 0.43/1.07 space for clauses: 16009
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 clauses generated: 906
% 0.43/1.07 clauses kept: 305
% 0.43/1.07 clauses selected: 108
% 0.43/1.07 clauses deleted: 4
% 0.43/1.07 clauses inuse deleted: 0
% 0.43/1.07
% 0.43/1.07 subsentry: 1076
% 0.43/1.07 literals s-matched: 852
% 0.43/1.07 literals matched: 850
% 0.43/1.07 full subsumption: 138
% 0.43/1.07
% 0.43/1.07 checksum: 87863789
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksem ended
%------------------------------------------------------------------------------