TSTP Solution File: SEU047+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU047+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 07:10:25 EDT 2022
% Result : Theorem 0.74s 1.08s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU047+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n010.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 06:35:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.74/1.08 *** allocated 10000 integers for termspace/termends
% 0.74/1.08 *** allocated 10000 integers for clauses
% 0.74/1.08 *** allocated 10000 integers for justifications
% 0.74/1.08 Bliksem 1.12
% 0.74/1.08
% 0.74/1.08
% 0.74/1.08 Automatic Strategy Selection
% 0.74/1.08
% 0.74/1.08
% 0.74/1.08 Clauses:
% 0.74/1.08
% 0.74/1.08 { ! in( X, Y ), ! in( Y, X ) }.
% 0.74/1.08 { empty( empty_set ) }.
% 0.74/1.08 { relation( empty_set ) }.
% 0.74/1.08 { empty( empty_set ) }.
% 0.74/1.08 { relation( empty_set ) }.
% 0.74/1.08 { relation_empty_yielding( empty_set ) }.
% 0.74/1.08 { empty( empty_set ) }.
% 0.74/1.08 { ! in( X, Y ), element( X, Y ) }.
% 0.74/1.08 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 0.74/1.08 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 0.74/1.08 { element( skol1( X ), X ) }.
% 0.74/1.08 { ! empty( X ), function( X ) }.
% 0.74/1.08 { ! relation( X ), ! empty( X ), ! function( X ), relation( X ) }.
% 0.74/1.08 { ! relation( X ), ! empty( X ), ! function( X ), function( X ) }.
% 0.74/1.08 { ! relation( X ), ! empty( X ), ! function( X ), one_to_one( X ) }.
% 0.74/1.08 { ! empty( powerset( X ) ) }.
% 0.74/1.08 { ! empty( X ), relation( X ) }.
% 0.74/1.08 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.74/1.08 { ! empty( X ), X = empty_set }.
% 0.74/1.08 { ! in( X, Y ), ! empty( Y ) }.
% 0.74/1.08 { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.74/1.08 { subset( X, X ) }.
% 0.74/1.08 { ! relation( X ), relation( relation_rng_restriction( Y, X ) ) }.
% 0.74/1.08 { ! relation( X ), ! function( X ), relation( relation_rng_restriction( Y,
% 0.74/1.08 X ) ) }.
% 0.74/1.08 { ! relation( X ), ! function( X ), function( relation_rng_restriction( Y,
% 0.74/1.08 X ) ) }.
% 0.74/1.08 { relation( skol2 ) }.
% 0.74/1.08 { function( skol2 ) }.
% 0.74/1.08 { relation( skol3 ) }.
% 0.74/1.08 { empty( skol3 ) }.
% 0.74/1.08 { function( skol3 ) }.
% 0.74/1.08 { relation( skol4 ) }.
% 0.74/1.08 { function( skol4 ) }.
% 0.74/1.08 { one_to_one( skol4 ) }.
% 0.74/1.08 { empty( X ), ! empty( skol5( Y ) ) }.
% 0.74/1.08 { empty( X ), element( skol5( X ), powerset( X ) ) }.
% 0.74/1.08 { empty( skol6( Y ) ) }.
% 0.74/1.08 { element( skol6( X ), powerset( X ) ) }.
% 0.74/1.08 { empty( skol7 ) }.
% 0.74/1.08 { relation( skol7 ) }.
% 0.74/1.08 { ! empty( skol8 ) }.
% 0.74/1.08 { relation( skol8 ) }.
% 0.74/1.08 { relation( skol9 ) }.
% 0.74/1.08 { relation_empty_yielding( skol9 ) }.
% 0.74/1.08 { empty( skol10 ) }.
% 0.74/1.08 { ! empty( skol11 ) }.
% 0.74/1.08 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 0.74/1.08 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 0.74/1.08 { relation( skol12 ) }.
% 0.74/1.08 { function( skol12 ) }.
% 0.74/1.08 { subset( skol13, skol14 ) }.
% 0.74/1.08 { ! relation_rng_restriction( skol14, relation_rng_restriction( skol13,
% 0.74/1.08 skol12 ) ) = relation_rng_restriction( skol13, skol12 ), !
% 0.74/1.08 relation_rng_restriction( skol13, relation_rng_restriction( skol14,
% 0.74/1.08 skol12 ) ) = relation_rng_restriction( skol13, skol12 ) }.
% 0.74/1.08 { ! relation( X ), ! subset( Y, Z ), relation_rng_restriction( Z,
% 0.74/1.08 relation_rng_restriction( Y, X ) ) = relation_rng_restriction( Y, X ) }.
% 0.74/1.08 { ! relation( X ), ! subset( Y, Z ), relation_rng_restriction( Y,
% 0.74/1.08 relation_rng_restriction( Z, X ) ) = relation_rng_restriction( Y, X ) }.
% 0.74/1.08
% 0.74/1.08 percentage equality = 0.078947, percentage horn = 0.957447
% 0.74/1.08 This is a problem with some equality
% 0.74/1.08
% 0.74/1.08
% 0.74/1.08
% 0.74/1.08 Options Used:
% 0.74/1.08
% 0.74/1.08 useres = 1
% 0.74/1.08 useparamod = 1
% 0.74/1.08 useeqrefl = 1
% 0.74/1.08 useeqfact = 1
% 0.74/1.08 usefactor = 1
% 0.74/1.08 usesimpsplitting = 0
% 0.74/1.08 usesimpdemod = 5
% 0.74/1.08 usesimpres = 3
% 0.74/1.08
% 0.74/1.08 resimpinuse = 1000
% 0.74/1.08 resimpclauses = 20000
% 0.74/1.08 substype = eqrewr
% 0.74/1.08 backwardsubs = 1
% 0.74/1.08 selectoldest = 5
% 0.74/1.08
% 0.74/1.08 litorderings [0] = split
% 0.74/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.74/1.08
% 0.74/1.08 termordering = kbo
% 0.74/1.08
% 0.74/1.08 litapriori = 0
% 0.74/1.08 termapriori = 1
% 0.74/1.08 litaposteriori = 0
% 0.74/1.08 termaposteriori = 0
% 0.74/1.08 demodaposteriori = 0
% 0.74/1.08 ordereqreflfact = 0
% 0.74/1.08
% 0.74/1.08 litselect = negord
% 0.74/1.08
% 0.74/1.08 maxweight = 15
% 0.74/1.08 maxdepth = 30000
% 0.74/1.08 maxlength = 115
% 0.74/1.08 maxnrvars = 195
% 0.74/1.08 excuselevel = 1
% 0.74/1.08 increasemaxweight = 1
% 0.74/1.08
% 0.74/1.08 maxselected = 10000000
% 0.74/1.08 maxnrclauses = 10000000
% 0.74/1.08
% 0.74/1.08 showgenerated = 0
% 0.74/1.08 showkept = 0
% 0.74/1.08 showselected = 0
% 0.74/1.08 showdeleted = 0
% 0.74/1.08 showresimp = 1
% 0.74/1.08 showstatus = 2000
% 0.74/1.08
% 0.74/1.08 prologoutput = 0
% 0.74/1.08 nrgoals = 5000000
% 0.74/1.08 totalproof = 1
% 0.74/1.08
% 0.74/1.08 Symbols occurring in the translation:
% 0.74/1.08
% 0.74/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.08 . [1, 2] (w:1, o:35, a:1, s:1, b:0),
% 0.74/1.08 ! [4, 1] (w:0, o:21, a:1, s:1, b:0),
% 0.74/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.08 in [37, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.74/1.08 empty_set [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.74/1.08 empty [39, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.74/1.08 relation [40, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.74/1.08 relation_empty_yielding [41, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.74/1.08 element [42, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.74/1.08 powerset [44, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.74/1.08 function [45, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.74/1.08 one_to_one [46, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.74/1.08 subset [47, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.74/1.08 relation_rng_restriction [48, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.74/1.08 skol1 [49, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.74/1.08 skol2 [50, 0] (w:1, o:15, a:1, s:1, b:1),
% 0.74/1.08 skol3 [51, 0] (w:1, o:16, a:1, s:1, b:1),
% 0.74/1.08 skol4 [52, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.74/1.08 skol5 [53, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.74/1.08 skol6 [54, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.74/1.08 skol7 [55, 0] (w:1, o:18, a:1, s:1, b:1),
% 0.74/1.08 skol8 [56, 0] (w:1, o:19, a:1, s:1, b:1),
% 0.74/1.08 skol9 [57, 0] (w:1, o:20, a:1, s:1, b:1),
% 0.74/1.08 skol10 [58, 0] (w:1, o:10, a:1, s:1, b:1),
% 0.74/1.08 skol11 [59, 0] (w:1, o:11, a:1, s:1, b:1),
% 0.74/1.08 skol12 [60, 0] (w:1, o:12, a:1, s:1, b:1),
% 0.74/1.08 skol13 [61, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.74/1.08 skol14 [62, 0] (w:1, o:14, a:1, s:1, b:1).
% 0.74/1.08
% 0.74/1.08
% 0.74/1.08 Starting Search:
% 0.74/1.08
% 0.74/1.08 *** allocated 15000 integers for clauses
% 0.74/1.08
% 0.74/1.08 Bliksems!, er is een bewijs:
% 0.74/1.08 % SZS status Theorem
% 0.74/1.08 % SZS output start Refutation
% 0.74/1.08
% 0.74/1.08 (41) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 0.74/1.08 (43) {G0,W3,D2,L1,V0,M1} I { subset( skol13, skol14 ) }.
% 0.74/1.08 (44) {G0,W18,D4,L2,V0,M2} I { ! relation_rng_restriction( skol14,
% 0.74/1.08 relation_rng_restriction( skol13, skol12 ) ) ==> relation_rng_restriction
% 0.74/1.08 ( skol13, skol12 ), ! relation_rng_restriction( skol13,
% 0.74/1.08 relation_rng_restriction( skol14, skol12 ) ) ==> relation_rng_restriction
% 0.74/1.08 ( skol13, skol12 ) }.
% 0.74/1.08 (45) {G0,W14,D4,L3,V3,M3} I { ! relation( X ), ! subset( Y, Z ),
% 0.74/1.08 relation_rng_restriction( Z, relation_rng_restriction( Y, X ) ) ==>
% 0.74/1.08 relation_rng_restriction( Y, X ) }.
% 0.74/1.08 (46) {G0,W14,D4,L3,V3,M3} I { ! relation( X ), ! subset( Y, Z ),
% 0.74/1.08 relation_rng_restriction( Y, relation_rng_restriction( Z, X ) ) ==>
% 0.74/1.08 relation_rng_restriction( Y, X ) }.
% 0.74/1.08 (246) {G1,W3,D2,L1,V0,M1} R(45,44);d(46);q;r(41) { ! subset( skol13, skol14
% 0.74/1.08 ) }.
% 0.74/1.08 (266) {G2,W0,D0,L0,V0,M0} S(246);r(43) { }.
% 0.74/1.08
% 0.74/1.08
% 0.74/1.08 % SZS output end Refutation
% 0.74/1.08 found a proof!
% 0.74/1.08
% 0.74/1.08
% 0.74/1.08 Unprocessed initial clauses:
% 0.74/1.08
% 0.74/1.08 (268) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 0.74/1.08 (269) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 0.74/1.08 (270) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 0.74/1.08 (271) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 0.74/1.08 (272) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 0.74/1.08 (273) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 0.74/1.08 (274) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 0.74/1.08 (275) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 0.74/1.08 (276) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y ) ),
% 0.74/1.08 element( X, Y ) }.
% 0.74/1.08 (277) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) ), !
% 0.74/1.08 empty( Z ) }.
% 0.74/1.08 (278) {G0,W4,D3,L1,V1,M1} { element( skol1( X ), X ) }.
% 0.74/1.08 (279) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 0.74/1.08 (280) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X )
% 0.74/1.08 , relation( X ) }.
% 0.74/1.08 (281) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X )
% 0.74/1.08 , function( X ) }.
% 0.74/1.08 (282) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X )
% 0.74/1.08 , one_to_one( X ) }.
% 0.74/1.08 (283) {G0,W3,D3,L1,V1,M1} { ! empty( powerset( X ) ) }.
% 0.74/1.08 (284) {G0,W4,D2,L2,V1,M2} { ! empty( X ), relation( X ) }.
% 0.74/1.08 (285) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.74/1.08 (286) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 0.74/1.08 (287) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 0.74/1.08 (288) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.74/1.08 (289) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 0.74/1.08 (290) {G0,W6,D3,L2,V2,M2} { ! relation( X ), relation(
% 0.74/1.08 relation_rng_restriction( Y, X ) ) }.
% 0.74/1.08 (291) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! function( X ), relation(
% 0.74/1.08 relation_rng_restriction( Y, X ) ) }.
% 0.74/1.08 (292) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! function( X ), function(
% 0.74/1.08 relation_rng_restriction( Y, X ) ) }.
% 0.74/1.08 (293) {G0,W2,D2,L1,V0,M1} { relation( skol2 ) }.
% 0.74/1.08 (294) {G0,W2,D2,L1,V0,M1} { function( skol2 ) }.
% 0.74/1.08 (295) {G0,W2,D2,L1,V0,M1} { relation( skol3 ) }.
% 0.74/1.08 (296) {G0,W2,D2,L1,V0,M1} { empty( skol3 ) }.
% 0.74/1.08 (297) {G0,W2,D2,L1,V0,M1} { function( skol3 ) }.
% 0.74/1.08 (298) {G0,W2,D2,L1,V0,M1} { relation( skol4 ) }.
% 0.74/1.08 (299) {G0,W2,D2,L1,V0,M1} { function( skol4 ) }.
% 0.74/1.08 (300) {G0,W2,D2,L1,V0,M1} { one_to_one( skol4 ) }.
% 0.74/1.08 (301) {G0,W5,D3,L2,V2,M2} { empty( X ), ! empty( skol5( Y ) ) }.
% 0.74/1.08 (302) {G0,W7,D3,L2,V1,M2} { empty( X ), element( skol5( X ), powerset( X )
% 0.74/1.08 ) }.
% 0.74/1.08 (303) {G0,W3,D3,L1,V1,M1} { empty( skol6( Y ) ) }.
% 0.74/1.08 (304) {G0,W5,D3,L1,V1,M1} { element( skol6( X ), powerset( X ) ) }.
% 0.74/1.08 (305) {G0,W2,D2,L1,V0,M1} { empty( skol7 ) }.
% 0.74/1.08 (306) {G0,W2,D2,L1,V0,M1} { relation( skol7 ) }.
% 0.74/1.08 (307) {G0,W2,D2,L1,V0,M1} { ! empty( skol8 ) }.
% 0.74/1.08 (308) {G0,W2,D2,L1,V0,M1} { relation( skol8 ) }.
% 0.74/1.08 (309) {G0,W2,D2,L1,V0,M1} { relation( skol9 ) }.
% 0.74/1.08 (310) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol9 ) }.
% 0.74/1.08 (311) {G0,W2,D2,L1,V0,M1} { empty( skol10 ) }.
% 0.74/1.08 (312) {G0,W2,D2,L1,V0,M1} { ! empty( skol11 ) }.
% 0.74/1.08 (313) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y )
% 0.74/1.08 }.
% 0.74/1.08 (314) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y ) )
% 0.74/1.08 }.
% 0.74/1.08 (315) {G0,W2,D2,L1,V0,M1} { relation( skol12 ) }.
% 0.74/1.08 (316) {G0,W2,D2,L1,V0,M1} { function( skol12 ) }.
% 0.74/1.08 (317) {G0,W3,D2,L1,V0,M1} { subset( skol13, skol14 ) }.
% 0.74/1.08 (318) {G0,W18,D4,L2,V0,M2} { ! relation_rng_restriction( skol14,
% 0.74/1.08 relation_rng_restriction( skol13, skol12 ) ) = relation_rng_restriction(
% 0.74/1.08 skol13, skol12 ), ! relation_rng_restriction( skol13,
% 0.74/1.08 relation_rng_restriction( skol14, skol12 ) ) = relation_rng_restriction(
% 0.74/1.08 skol13, skol12 ) }.
% 0.74/1.08 (319) {G0,W14,D4,L3,V3,M3} { ! relation( X ), ! subset( Y, Z ),
% 0.74/1.08 relation_rng_restriction( Z, relation_rng_restriction( Y, X ) ) =
% 0.74/1.08 relation_rng_restriction( Y, X ) }.
% 0.74/1.08 (320) {G0,W14,D4,L3,V3,M3} { ! relation( X ), ! subset( Y, Z ),
% 0.74/1.08 relation_rng_restriction( Y, relation_rng_restriction( Z, X ) ) =
% 0.74/1.08 relation_rng_restriction( Y, X ) }.
% 0.74/1.08
% 0.74/1.08
% 0.74/1.08 Total Proof:
% 0.74/1.08
% 0.74/1.08 subsumption: (41) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 0.74/1.08 parent0: (315) {G0,W2,D2,L1,V0,M1} { relation( skol12 ) }.
% 0.74/1.08 substitution0:
% 0.74/1.08 end
% 0.74/1.08 permutation0:
% 0.74/1.08 0 ==> 0
% 0.74/1.08 end
% 0.74/1.08
% 0.74/1.08 subsumption: (43) {G0,W3,D2,L1,V0,M1} I { subset( skol13, skol14 ) }.
% 0.74/1.08 parent0: (317) {G0,W3,D2,L1,V0,M1} { subset( skol13, skol14 ) }.
% 0.74/1.08 substitution0:
% 0.74/1.08 end
% 0.74/1.08 permutation0:
% 0.74/1.08 0 ==> 0
% 0.74/1.08 end
% 0.74/1.08
% 0.74/1.08 subsumption: (44) {G0,W18,D4,L2,V0,M2} I { ! relation_rng_restriction(
% 0.74/1.08 skol14, relation_rng_restriction( skol13, skol12 ) ) ==>
% 0.74/1.08 relation_rng_restriction( skol13, skol12 ), ! relation_rng_restriction(
% 0.74/1.08 skol13, relation_rng_restriction( skol14, skol12 ) ) ==>
% 0.74/1.08 relation_rng_restriction( skol13, skol12 ) }.
% 0.74/1.08 parent0: (318) {G0,W18,D4,L2,V0,M2} { ! relation_rng_restriction( skol14,
% 0.74/1.08 relation_rng_restriction( skol13, skol12 ) ) = relation_rng_restriction(
% 0.74/1.08 skol13, skol12 ), ! relation_rng_restriction( skol13,
% 0.74/1.08 relation_rng_restriction( skol14, skol12 ) ) = relation_rng_restriction(
% 0.74/1.08 skol13, skol12 ) }.
% 0.74/1.08 substitution0:
% 0.74/1.08 end
% 0.74/1.08 permutation0:
% 0.74/1.08 0 ==> 0
% 0.74/1.08 1 ==> 1
% 0.74/1.08 end
% 0.74/1.08
% 0.74/1.08 *** allocated 22500 integers for clauses
% 0.74/1.08 subsumption: (45) {G0,W14,D4,L3,V3,M3} I { ! relation( X ), ! subset( Y, Z
% 0.74/1.08 ), relation_rng_restriction( Z, relation_rng_restriction( Y, X ) ) ==>
% 0.74/1.08 relation_rng_restriction( Y, X ) }.
% 0.74/1.08 parent0: (319) {G0,W14,D4,L3,V3,M3} { ! relation( X ), ! subset( Y, Z ),
% 0.74/1.08 relation_rng_restriction( Z, relation_rng_restriction( Y, X ) ) =
% 0.74/1.08 relation_rng_restriction( Y, X ) }.
% 0.74/1.08 substitution0:
% 0.74/1.08 X := X
% 0.74/1.08 Y := Y
% 0.74/1.08 Z := Z
% 0.74/1.08 end
% 0.74/1.08 permutation0:
% 0.74/1.08 0 ==> 0
% 0.74/1.08 1 ==> 1
% 0.74/1.08 2 ==> 2
% 0.74/1.08 end
% 0.74/1.08
% 0.74/1.08 subsumption: (46) {G0,W14,D4,L3,V3,M3} I { ! relation( X ), ! subset( Y, Z
% 0.74/1.08 ), relation_rng_restriction( Y, relation_rng_restriction( Z, X ) ) ==>
% 0.74/1.08 relation_rng_restriction( Y, X ) }.
% 0.74/1.08 parent0: (320) {G0,W14,D4,L3,V3,M3} { ! relation( X ), ! subset( Y, Z ),
% 0.74/1.08 relation_rng_restriction( Y, relation_rng_restriction( Z, X ) ) =
% 0.74/1.08 relation_rng_restriction( Y, X ) }.
% 0.74/1.08 substitution0:
% 0.74/1.08 X := X
% 0.74/1.08 Y := Y
% 0.74/1.08 Z := Z
% 0.74/1.08 end
% 0.74/1.08 permutation0:
% 0.74/1.08 0 ==> 0
% 0.74/1.08 1 ==> 1
% 0.74/1.08 2 ==> 2
% 0.74/1.08 end
% 0.74/1.08
% 0.74/1.08 eqswap: (348) {G0,W14,D4,L3,V3,M3} { relation_rng_restriction( Y, Z ) ==>
% 0.74/1.08 relation_rng_restriction( X, relation_rng_restriction( Y, Z ) ), !
% 0.74/1.08 relation( Z ), ! subset( Y, X ) }.
% 0.74/1.08 parent0[2]: (45) {G0,W14,D4,L3,V3,M3} I { ! relation( X ), ! subset( Y, Z )
% 0.74/1.08 , relation_rng_restriction( Z, relation_rng_restriction( Y, X ) ) ==>
% 0.74/1.08 relation_rng_restriction( Y, X ) }.
% 0.74/1.08 substitution0:
% 0.74/1.08 X := Z
% 0.74/1.08 Y := Y
% 0.74/1.08 Z := X
% 0.74/1.08 end
% 0.74/1.08
% 0.74/1.08 eqswap: (349) {G0,W18,D4,L2,V0,M2} { ! relation_rng_restriction( skol13,
% 0.74/1.08 skol12 ) ==> relation_rng_restriction( skol14, relation_rng_restriction(
% 0.74/1.08 skol13, skol12 ) ), ! relation_rng_restriction( skol13,
% 0.74/1.08 relation_rng_restriction( skol14, skol12 ) ) ==> relation_rng_restriction
% 0.74/1.08 ( skol13, skol12 ) }.
% 0.74/1.08 parent0[0]: (44) {G0,W18,D4,L2,V0,M2} I { ! relation_rng_restriction(
% 0.74/1.08 skol14, relation_rng_restriction( skol13, skol12 ) ) ==>
% 0.74/1.08 relation_rng_restriction( skol13, skol12 ), ! relation_rng_restriction(
% 0.74/1.08 skol13, relation_rng_restriction( skol14, skol12 ) ) ==>
% 0.74/1.08 relation_rng_restriction( skol13, skol12 ) }.
% 0.74/1.08 substitution0:
% 0.74/1.08 end
% 0.74/1.08
% 0.74/1.08 resolution: (353) {G1,W14,D4,L3,V0,M3} { ! relation_rng_restriction(
% 0.74/1.08 skol13, relation_rng_restriction( skol14, skol12 ) ) ==>
% 0.74/1.08 relation_rng_restriction( skol13, skol12 ), ! relation( skol12 ), !
% 0.74/1.08 subset( skol13, skol14 ) }.
% 0.74/1.08 parent0[0]: (349) {G0,W18,D4,L2,V0,M2} { ! relation_rng_restriction(
% 0.74/1.08 skol13, skol12 ) ==> relation_rng_restriction( skol14,
% 0.74/1.08 relation_rng_restriction( skol13, skol12 ) ), ! relation_rng_restriction
% 0.74/1.08 ( skol13, relation_rng_restriction( skol14, skol12 ) ) ==>
% 0.74/1.08 relation_rng_restriction( skol13, skol12 ) }.
% 0.74/1.08 parent1[0]: (348) {G0,W14,D4,L3,V3,M3} { relation_rng_restriction( Y, Z )
% 0.74/1.08 ==> relation_rng_restriction( X, relation_rng_restriction( Y, Z ) ), !
% 0.74/1.08 relation( Z ), ! subset( Y, X ) }.
% 0.74/1.08 substitution0:
% 0.74/1.08 end
% 0.74/1.08 substitution1:
% 0.74/1.08 X := skol14
% 0.74/1.08 Y := skol13
% 0.74/1.08 Z := skol12
% 0.74/1.08 end
% 0.74/1.08
% 0.74/1.08 paramod: (354) {G1,W17,D3,L5,V0,M5} { ! relation_rng_restriction( skol13,
% 0.74/1.08 skol12 ) ==> relation_rng_restriction( skol13, skol12 ), ! relation(
% 0.74/1.08 skol12 ), ! subset( skol13, skol14 ), ! relation( skol12 ), ! subset(
% 0.74/1.08 skol13, skol14 ) }.
% 0.74/1.08 parent0[2]: (46) {G0,W14,D4,L3,V3,M3} I { ! relation( X ), ! subset( Y, Z )
% 0.74/1.08 , relation_rng_restriction( Y, relation_rng_restriction( Z, X ) ) ==>
% 0.74/1.08 relation_rng_restriction( Y, X ) }.
% 0.74/1.08 parent1[0; 2]: (353) {G1,W14,D4,L3,V0,M3} { ! relation_rng_restriction(
% 0.74/1.08 skol13, relation_rng_restriction( skol14, skol12 ) ) ==>
% 0.74/1.08 relation_rng_restriction( skol13, skol12 ), ! relation( skol12 ), !
% 0.74/1.08 subset( skol13, skol14 ) }.
% 0.74/1.08 substitution0:
% 0.74/1.08 X := skol12
% 0.74/1.08 Y := skol13
% 0.74/1.08 Z := skol14
% 0.74/1.08 end
% 0.74/1.08 substitution1:
% 0.74/1.08 end
% 0.74/1.08
% 0.74/1.08 factor: (355) {G1,W15,D3,L4,V0,M4} { ! relation_rng_restriction( skol13,
% 0.74/1.08 skol12 ) ==> relation_rng_restriction( skol13, skol12 ), ! relation(
% 0.74/1.08 skol12 ), ! subset( skol13, skol14 ), ! subset( skol13, skol14 ) }.
% 0.74/1.08 parent0[1, 3]: (354) {G1,W17,D3,L5,V0,M5} { ! relation_rng_restriction(
% 0.74/1.08 skol13, skol12 ) ==> relation_rng_restriction( skol13, skol12 ), !
% 0.74/1.08 relation( skol12 ), ! subset( skol13, skol14 ), ! relation( skol12 ), !
% 0.74/1.08 subset( skol13, skol14 ) }.
% 0.74/1.08 substitution0:
% 0.74/1.08 end
% 0.74/1.08
% 0.74/1.08 eqrefl: (358) {G0,W8,D2,L3,V0,M3} { ! relation( skol12 ), ! subset( skol13
% 0.74/1.08 , skol14 ), ! subset( skol13, skol14 ) }.
% 0.74/1.08 parent0[0]: (355) {G1,W15,D3,L4,V0,M4} { ! relation_rng_restriction(
% 0.74/1.08 skol13, skol12 ) ==> relation_rng_restriction( skol13, skol12 ), !
% 0.74/1.08 relation( skol12 ), ! subset( skol13, skol14 ), ! subset( skol13, skol14
% 0.74/1.08 ) }.
% 0.74/1.08 substitution0:
% 0.74/1.08 end
% 0.74/1.08
% 0.74/1.08 factor: (359) {G0,W5,D2,L2,V0,M2} { ! relation( skol12 ), ! subset( skol13
% 0.74/1.08 , skol14 ) }.
% 0.74/1.08 parent0[1, 2]: (358) {G0,W8,D2,L3,V0,M3} { ! relation( skol12 ), ! subset
% 0.74/1.08 ( skol13, skol14 ), ! subset( skol13, skol14 ) }.
% 0.74/1.08 substitution0:
% 0.74/1.08 end
% 0.74/1.08
% 0.74/1.08 resolution: (360) {G1,W3,D2,L1,V0,M1} { ! subset( skol13, skol14 ) }.
% 0.74/1.08 parent0[0]: (359) {G0,W5,D2,L2,V0,M2} { ! relation( skol12 ), ! subset(
% 0.74/1.08 skol13, skol14 ) }.
% 0.74/1.08 parent1[0]: (41) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 0.74/1.08 substitution0:
% 0.74/1.08 end
% 0.74/1.08 substitution1:
% 0.74/1.08 end
% 0.74/1.08
% 0.74/1.08 subsumption: (246) {G1,W3,D2,L1,V0,M1} R(45,44);d(46);q;r(41) { ! subset(
% 0.74/1.08 skol13, skol14 ) }.
% 0.74/1.08 parent0: (360) {G1,W3,D2,L1,V0,M1} { ! subset( skol13, skol14 ) }.
% 0.74/1.08 substitution0:
% 0.74/1.08 end
% 0.74/1.08 permutation0:
% 0.74/1.08 0 ==> 0
% 0.74/1.08 end
% 0.74/1.08
% 0.74/1.08 resolution: (361) {G1,W0,D0,L0,V0,M0} { }.
% 0.74/1.08 parent0[0]: (246) {G1,W3,D2,L1,V0,M1} R(45,44);d(46);q;r(41) { ! subset(
% 0.74/1.08 skol13, skol14 ) }.
% 0.74/1.08 parent1[0]: (43) {G0,W3,D2,L1,V0,M1} I { subset( skol13, skol14 ) }.
% 0.74/1.08 substitution0:
% 0.74/1.08 end
% 0.74/1.08 substitution1:
% 0.74/1.08 end
% 0.74/1.08
% 0.74/1.08 subsumption: (266) {G2,W0,D0,L0,V0,M0} S(246);r(43) { }.
% 0.74/1.08 parent0: (361) {G1,W0,D0,L0,V0,M0} { }.
% 0.74/1.08 substitution0:
% 0.74/1.08 end
% 0.74/1.08 permutation0:
% 0.74/1.08 end
% 0.74/1.08
% 0.74/1.08 Proof check complete!
% 0.74/1.08
% 0.74/1.08 Memory use:
% 0.74/1.08
% 0.74/1.08 space for terms: 3091
% 0.74/1.08 space for clauses: 13588
% 0.74/1.08
% 0.74/1.08
% 0.74/1.08 clauses generated: 767
% 0.74/1.08 clauses kept: 267
% 0.74/1.08 clauses selected: 95
% 0.74/1.08 clauses deleted: 7
% 0.74/1.08 clauses inuse deleted: 0
% 0.74/1.08
% 0.74/1.08 subsentry: 919
% 0.74/1.08 literals s-matched: 721
% 0.74/1.08 literals matched: 719
% 0.74/1.08 full subsumption: 125
% 0.74/1.08
% 0.74/1.08 checksum: 1225805992
% 0.74/1.08
% 0.74/1.08
% 0.74/1.08 Bliksem ended
%------------------------------------------------------------------------------