TSTP Solution File: SEU040+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU040+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 1.68s 2.09s
% Output : Refutation 1.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU040+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n027.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 : Sat Jun 18 22:11:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.68/2.08 *** allocated 10000 integers for termspace/termends
% 1.68/2.08 *** allocated 10000 integers for clauses
% 1.68/2.08 *** allocated 10000 integers for justifications
% 1.68/2.08 Bliksem 1.12
% 1.68/2.08
% 1.68/2.08
% 1.68/2.08 Automatic Strategy Selection
% 1.68/2.08
% 1.68/2.08
% 1.68/2.08 Clauses:
% 1.68/2.08
% 1.68/2.08 { ! in( X, Y ), ! in( Y, X ) }.
% 1.68/2.08 { empty( empty_set ) }.
% 1.68/2.08 { relation( empty_set ) }.
% 1.68/2.08 { empty( empty_set ) }.
% 1.68/2.08 { relation( empty_set ) }.
% 1.68/2.08 { relation_empty_yielding( empty_set ) }.
% 1.68/2.08 { empty( empty_set ) }.
% 1.68/2.08 { ! in( X, Y ), element( X, Y ) }.
% 1.68/2.08 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 1.68/2.08 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 1.68/2.08 { ! empty( X ), X = Y, ! empty( Y ) }.
% 1.68/2.08 { element( skol1( X ), X ) }.
% 1.68/2.08 { ! empty( X ), function( X ) }.
% 1.68/2.08 { ! relation( X ), ! empty( X ), ! function( X ), relation( X ) }.
% 1.68/2.08 { ! relation( X ), ! empty( X ), ! function( X ), function( X ) }.
% 1.68/2.08 { ! relation( X ), ! empty( X ), ! function( X ), one_to_one( X ) }.
% 1.68/2.08 { ! empty( powerset( X ) ) }.
% 1.68/2.08 { empty( X ), ! relation( X ), ! empty( relation_dom( X ) ) }.
% 1.68/2.08 { empty( X ), ! relation( X ), ! empty( relation_rng( X ) ) }.
% 1.68/2.08 { ! empty( X ), empty( relation_dom( X ) ) }.
% 1.68/2.08 { ! empty( X ), relation( relation_dom( X ) ) }.
% 1.68/2.08 { ! empty( X ), empty( relation_rng( X ) ) }.
% 1.68/2.08 { ! empty( X ), relation( relation_rng( X ) ) }.
% 1.68/2.08 { ! relation( X ), ! relation_empty_yielding( X ), relation(
% 1.68/2.08 relation_dom_restriction( X, Y ) ) }.
% 1.68/2.08 { ! relation( X ), ! relation_empty_yielding( X ), relation_empty_yielding
% 1.68/2.08 ( relation_dom_restriction( X, Y ) ) }.
% 1.68/2.08 { ! empty( X ), relation( X ) }.
% 1.68/2.08 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 1.68/2.08 { ! empty( X ), X = empty_set }.
% 1.68/2.08 { ! in( X, Y ), ! empty( Y ) }.
% 1.68/2.08 { subset( X, X ) }.
% 1.68/2.08 { ! relation( X ), relation( relation_dom_restriction( X, Y ) ) }.
% 1.68/2.08 { ! relation( X ), ! function( X ), relation( relation_dom_restriction( X,
% 1.68/2.08 Y ) ) }.
% 1.68/2.08 { ! relation( X ), ! function( X ), function( relation_dom_restriction( X,
% 1.68/2.08 Y ) ) }.
% 1.68/2.08 { relation( skol2 ) }.
% 1.68/2.08 { function( skol2 ) }.
% 1.68/2.08 { relation( skol3 ) }.
% 1.68/2.08 { empty( skol3 ) }.
% 1.68/2.08 { function( skol3 ) }.
% 1.68/2.08 { relation( skol4 ) }.
% 1.68/2.08 { function( skol4 ) }.
% 1.68/2.08 { one_to_one( skol4 ) }.
% 1.68/2.08 { empty( X ), ! empty( skol5( Y ) ) }.
% 1.68/2.08 { empty( X ), element( skol5( X ), powerset( X ) ) }.
% 1.68/2.08 { empty( skol6( Y ) ) }.
% 1.68/2.08 { element( skol6( X ), powerset( X ) ) }.
% 1.68/2.08 { empty( skol7 ) }.
% 1.68/2.08 { relation( skol7 ) }.
% 1.68/2.08 { ! empty( skol8 ) }.
% 1.68/2.08 { relation( skol8 ) }.
% 1.68/2.08 { relation( skol9 ) }.
% 1.68/2.08 { relation_empty_yielding( skol9 ) }.
% 1.68/2.08 { empty( skol10 ) }.
% 1.68/2.08 { ! empty( skol11 ) }.
% 1.68/2.08 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 1.68/2.08 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 1.68/2.08 { relation( skol12 ) }.
% 1.68/2.08 { function( skol12 ) }.
% 1.68/2.08 { ! subset( relation_dom( relation_dom_restriction( skol12, skol13 ) ),
% 1.68/2.08 relation_dom( skol12 ) ), ! subset( relation_rng(
% 1.68/2.08 relation_dom_restriction( skol12, skol13 ) ), relation_rng( skol12 ) ) }
% 1.68/2.08 .
% 1.68/2.08 { ! relation( X ), subset( relation_dom( relation_dom_restriction( X, Y ) )
% 1.68/2.08 , relation_dom( X ) ) }.
% 1.68/2.08 { ! relation( X ), subset( relation_rng( relation_dom_restriction( X, Y ) )
% 1.68/2.08 , relation_rng( X ) ) }.
% 1.68/2.08
% 1.68/2.08 percentage equality = 0.021505, percentage horn = 0.962963
% 1.68/2.08 This is a problem with some equality
% 1.68/2.08
% 1.68/2.08
% 1.68/2.08
% 1.68/2.08 Options Used:
% 1.68/2.08
% 1.68/2.08 useres = 1
% 1.68/2.08 useparamod = 1
% 1.68/2.09 useeqrefl = 1
% 1.68/2.09 useeqfact = 1
% 1.68/2.09 usefactor = 1
% 1.68/2.09 usesimpsplitting = 0
% 1.68/2.09 usesimpdemod = 5
% 1.68/2.09 usesimpres = 3
% 1.68/2.09
% 1.68/2.09 resimpinuse = 1000
% 1.68/2.09 resimpclauses = 20000
% 1.68/2.09 substype = eqrewr
% 1.68/2.09 backwardsubs = 1
% 1.68/2.09 selectoldest = 5
% 1.68/2.09
% 1.68/2.09 litorderings [0] = split
% 1.68/2.09 litorderings [1] = extend the termordering, first sorting on arguments
% 1.68/2.09
% 1.68/2.09 termordering = kbo
% 1.68/2.09
% 1.68/2.09 litapriori = 0
% 1.68/2.09 termapriori = 1
% 1.68/2.09 litaposteriori = 0
% 1.68/2.09 termaposteriori = 0
% 1.68/2.09 demodaposteriori = 0
% 1.68/2.09 ordereqreflfact = 0
% 1.68/2.09
% 1.68/2.09 litselect = negord
% 1.68/2.09
% 1.68/2.09 maxweight = 15
% 1.68/2.09 maxdepth = 30000
% 1.68/2.09 maxlength = 115
% 1.68/2.09 maxnrvars = 195
% 1.68/2.09 excuselevel = 1
% 1.68/2.09 increasemaxweight = 1
% 1.68/2.09
% 1.68/2.09 maxselected = 10000000
% 1.68/2.09 maxnrclauses = 10000000
% 1.68/2.09
% 1.68/2.09 showgenerated = 0
% 1.68/2.09 showkept = 0
% 1.68/2.09 showselected = 0
% 1.68/2.09 showdeleted = 0
% 1.68/2.09 showresimp = 1
% 1.68/2.09 showstatus = 2000
% 1.68/2.09
% 1.68/2.09 prologoutput = 0
% 1.68/2.09 nrgoals = 5000000
% 1.68/2.09 totalproof = 1
% 1.68/2.09
% 1.68/2.09 Symbols occurring in the translation:
% 1.68/2.09
% 1.68/2.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.68/2.09 . [1, 2] (w:1, o:36, a:1, s:1, b:0),
% 1.68/2.09 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 1.68/2.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.68/2.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.68/2.09 in [37, 2] (w:1, o:60, a:1, s:1, b:0),
% 1.68/2.09 empty_set [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 1.68/2.09 empty [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 1.68/2.09 relation [40, 1] (w:1, o:26, a:1, s:1, b:0),
% 1.68/2.09 relation_empty_yielding [41, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.68/2.09 element [42, 2] (w:1, o:61, a:1, s:1, b:0),
% 1.68/2.09 powerset [44, 1] (w:1, o:30, a:1, s:1, b:0),
% 1.68/2.09 function [45, 1] (w:1, o:31, a:1, s:1, b:0),
% 1.68/2.09 one_to_one [46, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.68/2.09 relation_dom [47, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.68/2.09 relation_rng [48, 1] (w:1, o:32, a:1, s:1, b:0),
% 1.68/2.09 relation_dom_restriction [49, 2] (w:1, o:62, a:1, s:1, b:0),
% 1.68/2.09 subset [50, 2] (w:1, o:63, a:1, s:1, b:0),
% 1.68/2.09 skol1 [51, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.68/2.09 skol2 [52, 0] (w:1, o:14, a:1, s:1, b:1),
% 1.68/2.09 skol3 [53, 0] (w:1, o:15, a:1, s:1, b:1),
% 1.68/2.09 skol4 [54, 0] (w:1, o:16, a:1, s:1, b:1),
% 1.68/2.09 skol5 [55, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.68/2.09 skol6 [56, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.68/2.09 skol7 [57, 0] (w:1, o:17, a:1, s:1, b:1),
% 1.68/2.09 skol8 [58, 0] (w:1, o:18, a:1, s:1, b:1),
% 1.68/2.09 skol9 [59, 0] (w:1, o:19, a:1, s:1, b:1),
% 1.68/2.09 skol10 [60, 0] (w:1, o:10, a:1, s:1, b:1),
% 1.68/2.09 skol11 [61, 0] (w:1, o:11, a:1, s:1, b:1),
% 1.68/2.09 skol12 [62, 0] (w:1, o:12, a:1, s:1, b:1),
% 1.68/2.09 skol13 [63, 0] (w:1, o:13, a:1, s:1, b:1).
% 1.68/2.09
% 1.68/2.09
% 1.68/2.09 Starting Search:
% 1.68/2.09
% 1.68/2.09 *** allocated 15000 integers for clauses
% 1.68/2.09 *** allocated 22500 integers for clauses
% 1.68/2.09 *** allocated 33750 integers for clauses
% 1.68/2.09 *** allocated 50625 integers for clauses
% 1.68/2.09 *** allocated 15000 integers for termspace/termends
% 1.68/2.09 Resimplifying inuse:
% 1.68/2.09 Done
% 1.68/2.09
% 1.68/2.09 *** allocated 75937 integers for clauses
% 1.68/2.09 *** allocated 22500 integers for termspace/termends
% 1.68/2.09 *** allocated 113905 integers for clauses
% 1.68/2.09 *** allocated 33750 integers for termspace/termends
% 1.68/2.09
% 1.68/2.09 Intermediate Status:
% 1.68/2.09 Generated: 8584
% 1.68/2.09 Kept: 2001
% 1.68/2.09 Inuse: 314
% 1.68/2.09 Deleted: 162
% 1.68/2.09 Deletedinuse: 69
% 1.68/2.09
% 1.68/2.09 Resimplifying inuse:
% 1.68/2.09 Done
% 1.68/2.09
% 1.68/2.09 *** allocated 170857 integers for clauses
% 1.68/2.09 *** allocated 50625 integers for termspace/termends
% 1.68/2.09 Resimplifying inuse:
% 1.68/2.09 Done
% 1.68/2.09
% 1.68/2.09 *** allocated 256285 integers for clauses
% 1.68/2.09
% 1.68/2.09 Intermediate Status:
% 1.68/2.09 Generated: 18107
% 1.68/2.09 Kept: 4009
% 1.68/2.09 Inuse: 441
% 1.68/2.09 Deleted: 189
% 1.68/2.09 Deletedinuse: 71
% 1.68/2.09
% 1.68/2.09 Resimplifying inuse:
% 1.68/2.09 Done
% 1.68/2.09
% 1.68/2.09 *** allocated 75937 integers for termspace/termends
% 1.68/2.09 Resimplifying inuse:
% 1.68/2.09 Done
% 1.68/2.09
% 1.68/2.09 *** allocated 384427 integers for clauses
% 1.68/2.09
% 1.68/2.09 Intermediate Status:
% 1.68/2.09 Generated: 30415
% 1.68/2.09 Kept: 6011
% 1.68/2.09 Inuse: 552
% 1.68/2.09 Deleted: 239
% 1.68/2.09 Deletedinuse: 92
% 1.68/2.09
% 1.68/2.09 *** allocated 113905 integers for termspace/termends
% 1.68/2.09 Resimplifying inuse:
% 1.68/2.09 Done
% 1.68/2.09
% 1.68/2.09 Resimplifying inuse:
% 1.68/2.09 Done
% 1.68/2.09
% 1.68/2.09
% 1.68/2.09 Intermediate Status:
% 1.68/2.09 Generated: 50335
% 1.68/2.09 Kept: 8097
% 1.68/2.09 Inuse: 695
% 1.68/2.09 Deleted: 253
% 1.68/2.09 Deletedinuse: 92
% 1.68/2.09
% 1.68/2.09 Resimplifying inuse:
% 1.68/2.09 Done
% 1.68/2.09
% 1.68/2.09 *** allocated 576640 integers for clauses
% 1.68/2.09
% 1.68/2.09 Bliksems!, er is een bewijs:
% 1.68/2.09 % SZS status Theorem
% 1.68/2.09 % SZS output start Refutation
% 1.68/2.09
% 1.68/2.09 (49) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 1.68/2.09 (51) {G0,W14,D4,L2,V0,M2} I { ! subset( relation_dom(
% 1.68/2.09 relation_dom_restriction( skol12, skol13 ) ), relation_dom( skol12 ) ), !
% 1.68/2.09 subset( relation_rng( relation_dom_restriction( skol12, skol13 ) ),
% 1.68/2.09 relation_rng( skol12 ) ) }.
% 1.68/2.09 (52) {G0,W9,D4,L2,V2,M2} I { ! relation( X ), subset( relation_dom(
% 1.68/2.09 relation_dom_restriction( X, Y ) ), relation_dom( X ) ) }.
% 1.68/2.09 (53) {G0,W9,D4,L2,V2,M2} I { ! relation( X ), subset( relation_rng(
% 1.68/2.09 relation_dom_restriction( X, Y ) ), relation_rng( X ) ) }.
% 1.68/2.09 (389) {G1,W7,D4,L1,V0,M1} R(52,51);r(49) { ! subset( relation_rng(
% 1.68/2.09 relation_dom_restriction( skol12, skol13 ) ), relation_rng( skol12 ) )
% 1.68/2.09 }.
% 1.68/2.09 (423) {G1,W7,D4,L1,V1,M1} R(53,49) { subset( relation_rng(
% 1.68/2.09 relation_dom_restriction( skol12, X ) ), relation_rng( skol12 ) ) }.
% 1.68/2.09 (8655) {G2,W0,D0,L0,V0,M0} S(389);r(423) { }.
% 1.68/2.09
% 1.68/2.09
% 1.68/2.09 % SZS output end Refutation
% 1.68/2.09 found a proof!
% 1.68/2.09
% 1.68/2.09
% 1.68/2.09 Unprocessed initial clauses:
% 1.68/2.09
% 1.68/2.09 (8657) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 1.68/2.09 (8658) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 1.68/2.09 (8659) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 1.68/2.09 (8660) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 1.68/2.09 (8661) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 1.68/2.09 (8662) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 1.68/2.09 (8663) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 1.68/2.09 (8664) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 1.68/2.09 (8665) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y ) )
% 1.68/2.09 , element( X, Y ) }.
% 1.68/2.09 (8666) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) ),
% 1.68/2.09 ! empty( Z ) }.
% 1.68/2.09 (8667) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 1.68/2.09 (8668) {G0,W4,D3,L1,V1,M1} { element( skol1( X ), X ) }.
% 1.68/2.09 (8669) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 1.68/2.09 (8670) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 1.68/2.09 ), relation( X ) }.
% 1.68/2.09 (8671) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 1.68/2.09 ), function( X ) }.
% 1.68/2.09 (8672) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 1.68/2.09 ), one_to_one( X ) }.
% 1.68/2.09 (8673) {G0,W3,D3,L1,V1,M1} { ! empty( powerset( X ) ) }.
% 1.68/2.09 (8674) {G0,W7,D3,L3,V1,M3} { empty( X ), ! relation( X ), ! empty(
% 1.68/2.09 relation_dom( X ) ) }.
% 1.68/2.09 (8675) {G0,W7,D3,L3,V1,M3} { empty( X ), ! relation( X ), ! empty(
% 1.68/2.09 relation_rng( X ) ) }.
% 1.68/2.09 (8676) {G0,W5,D3,L2,V1,M2} { ! empty( X ), empty( relation_dom( X ) ) }.
% 1.68/2.09 (8677) {G0,W5,D3,L2,V1,M2} { ! empty( X ), relation( relation_dom( X ) )
% 1.68/2.09 }.
% 1.68/2.09 (8678) {G0,W5,D3,L2,V1,M2} { ! empty( X ), empty( relation_rng( X ) ) }.
% 1.68/2.09 (8679) {G0,W5,D3,L2,V1,M2} { ! empty( X ), relation( relation_rng( X ) )
% 1.68/2.09 }.
% 1.68/2.09 (8680) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! relation_empty_yielding( X
% 1.68/2.09 ), relation( relation_dom_restriction( X, Y ) ) }.
% 1.68/2.09 (8681) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! relation_empty_yielding( X
% 1.68/2.09 ), relation_empty_yielding( relation_dom_restriction( X, Y ) ) }.
% 1.68/2.09 (8682) {G0,W4,D2,L2,V1,M2} { ! empty( X ), relation( X ) }.
% 1.68/2.09 (8683) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 1.68/2.09 (8684) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 1.68/2.09 (8685) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 1.68/2.09 (8686) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 1.68/2.09 (8687) {G0,W6,D3,L2,V2,M2} { ! relation( X ), relation(
% 1.68/2.09 relation_dom_restriction( X, Y ) ) }.
% 1.68/2.09 (8688) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! function( X ), relation(
% 1.68/2.09 relation_dom_restriction( X, Y ) ) }.
% 1.68/2.09 (8689) {G0,W8,D3,L3,V2,M3} { ! relation( X ), ! function( X ), function(
% 1.68/2.09 relation_dom_restriction( X, Y ) ) }.
% 1.68/2.09 (8690) {G0,W2,D2,L1,V0,M1} { relation( skol2 ) }.
% 1.68/2.09 (8691) {G0,W2,D2,L1,V0,M1} { function( skol2 ) }.
% 1.68/2.09 (8692) {G0,W2,D2,L1,V0,M1} { relation( skol3 ) }.
% 1.68/2.09 (8693) {G0,W2,D2,L1,V0,M1} { empty( skol3 ) }.
% 1.68/2.09 (8694) {G0,W2,D2,L1,V0,M1} { function( skol3 ) }.
% 1.68/2.09 (8695) {G0,W2,D2,L1,V0,M1} { relation( skol4 ) }.
% 1.68/2.09 (8696) {G0,W2,D2,L1,V0,M1} { function( skol4 ) }.
% 1.68/2.09 (8697) {G0,W2,D2,L1,V0,M1} { one_to_one( skol4 ) }.
% 1.68/2.09 (8698) {G0,W5,D3,L2,V2,M2} { empty( X ), ! empty( skol5( Y ) ) }.
% 1.68/2.09 (8699) {G0,W7,D3,L2,V1,M2} { empty( X ), element( skol5( X ), powerset( X
% 1.68/2.09 ) ) }.
% 1.68/2.09 (8700) {G0,W3,D3,L1,V1,M1} { empty( skol6( Y ) ) }.
% 1.68/2.09 (8701) {G0,W5,D3,L1,V1,M1} { element( skol6( X ), powerset( X ) ) }.
% 1.68/2.09 (8702) {G0,W2,D2,L1,V0,M1} { empty( skol7 ) }.
% 1.68/2.09 (8703) {G0,W2,D2,L1,V0,M1} { relation( skol7 ) }.
% 1.68/2.09 (8704) {G0,W2,D2,L1,V0,M1} { ! empty( skol8 ) }.
% 1.68/2.09 (8705) {G0,W2,D2,L1,V0,M1} { relation( skol8 ) }.
% 1.68/2.09 (8706) {G0,W2,D2,L1,V0,M1} { relation( skol9 ) }.
% 1.68/2.09 (8707) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol9 ) }.
% 1.68/2.09 (8708) {G0,W2,D2,L1,V0,M1} { empty( skol10 ) }.
% 1.68/2.09 (8709) {G0,W2,D2,L1,V0,M1} { ! empty( skol11 ) }.
% 1.68/2.09 (8710) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y )
% 1.68/2.09 }.
% 1.68/2.09 (8711) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y ) )
% 1.68/2.09 }.
% 1.68/2.09 (8712) {G0,W2,D2,L1,V0,M1} { relation( skol12 ) }.
% 1.68/2.09 (8713) {G0,W2,D2,L1,V0,M1} { function( skol12 ) }.
% 1.68/2.09 (8714) {G0,W14,D4,L2,V0,M2} { ! subset( relation_dom(
% 1.68/2.09 relation_dom_restriction( skol12, skol13 ) ), relation_dom( skol12 ) ), !
% 1.68/2.09 subset( relation_rng( relation_dom_restriction( skol12, skol13 ) ),
% 1.68/2.09 relation_rng( skol12 ) ) }.
% 1.68/2.09 (8715) {G0,W9,D4,L2,V2,M2} { ! relation( X ), subset( relation_dom(
% 1.68/2.09 relation_dom_restriction( X, Y ) ), relation_dom( X ) ) }.
% 1.68/2.09 (8716) {G0,W9,D4,L2,V2,M2} { ! relation( X ), subset( relation_rng(
% 1.68/2.09 relation_dom_restriction( X, Y ) ), relation_rng( X ) ) }.
% 1.68/2.09
% 1.68/2.09
% 1.68/2.09 Total Proof:
% 1.68/2.09
% 1.68/2.09 subsumption: (49) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 1.68/2.09 parent0: (8712) {G0,W2,D2,L1,V0,M1} { relation( skol12 ) }.
% 1.68/2.09 substitution0:
% 1.68/2.09 end
% 1.68/2.09 permutation0:
% 1.68/2.09 0 ==> 0
% 1.68/2.09 end
% 1.68/2.09
% 1.68/2.09 subsumption: (51) {G0,W14,D4,L2,V0,M2} I { ! subset( relation_dom(
% 1.68/2.09 relation_dom_restriction( skol12, skol13 ) ), relation_dom( skol12 ) ), !
% 1.68/2.09 subset( relation_rng( relation_dom_restriction( skol12, skol13 ) ),
% 1.68/2.09 relation_rng( skol12 ) ) }.
% 1.68/2.09 parent0: (8714) {G0,W14,D4,L2,V0,M2} { ! subset( relation_dom(
% 1.68/2.09 relation_dom_restriction( skol12, skol13 ) ), relation_dom( skol12 ) ), !
% 1.68/2.09 subset( relation_rng( relation_dom_restriction( skol12, skol13 ) ),
% 1.68/2.09 relation_rng( skol12 ) ) }.
% 1.68/2.09 substitution0:
% 1.68/2.09 end
% 1.68/2.09 permutation0:
% 1.68/2.09 0 ==> 0
% 1.68/2.09 1 ==> 1
% 1.68/2.09 end
% 1.68/2.09
% 1.68/2.09 subsumption: (52) {G0,W9,D4,L2,V2,M2} I { ! relation( X ), subset(
% 1.68/2.09 relation_dom( relation_dom_restriction( X, Y ) ), relation_dom( X ) ) }.
% 1.68/2.09 parent0: (8715) {G0,W9,D4,L2,V2,M2} { ! relation( X ), subset(
% 1.68/2.09 relation_dom( relation_dom_restriction( X, Y ) ), relation_dom( X ) ) }.
% 1.68/2.09 substitution0:
% 1.68/2.09 X := X
% 1.68/2.09 Y := Y
% 1.68/2.09 end
% 1.68/2.09 permutation0:
% 1.68/2.09 0 ==> 0
% 1.68/2.09 1 ==> 1
% 1.68/2.09 end
% 1.68/2.09
% 1.68/2.09 subsumption: (53) {G0,W9,D4,L2,V2,M2} I { ! relation( X ), subset(
% 1.68/2.09 relation_rng( relation_dom_restriction( X, Y ) ), relation_rng( X ) ) }.
% 1.68/2.09 parent0: (8716) {G0,W9,D4,L2,V2,M2} { ! relation( X ), subset(
% 1.68/2.09 relation_rng( relation_dom_restriction( X, Y ) ), relation_rng( X ) ) }.
% 1.68/2.09 substitution0:
% 1.68/2.09 X := X
% 1.68/2.09 Y := Y
% 1.68/2.09 end
% 1.68/2.09 permutation0:
% 1.68/2.09 0 ==> 0
% 1.68/2.09 1 ==> 1
% 1.68/2.09 end
% 1.68/2.09
% 1.68/2.09 resolution: (8729) {G1,W9,D4,L2,V0,M2} { ! subset( relation_rng(
% 1.68/2.09 relation_dom_restriction( skol12, skol13 ) ), relation_rng( skol12 ) ), !
% 1.68/2.09 relation( skol12 ) }.
% 1.68/2.09 parent0[0]: (51) {G0,W14,D4,L2,V0,M2} I { ! subset( relation_dom(
% 1.68/2.09 relation_dom_restriction( skol12, skol13 ) ), relation_dom( skol12 ) ), !
% 1.68/2.09 subset( relation_rng( relation_dom_restriction( skol12, skol13 ) ),
% 1.68/2.09 relation_rng( skol12 ) ) }.
% 1.68/2.09 parent1[1]: (52) {G0,W9,D4,L2,V2,M2} I { ! relation( X ), subset(
% 1.68/2.09 relation_dom( relation_dom_restriction( X, Y ) ), relation_dom( X ) ) }.
% 1.68/2.09 substitution0:
% 1.68/2.09 end
% 1.68/2.09 substitution1:
% 1.68/2.09 X := skol12
% 1.68/2.09 Y := skol13
% 1.68/2.09 end
% 1.68/2.09
% 1.68/2.09 resolution: (8730) {G1,W7,D4,L1,V0,M1} { ! subset( relation_rng(
% 1.68/2.09 relation_dom_restriction( skol12, skol13 ) ), relation_rng( skol12 ) )
% 1.68/2.09 }.
% 1.68/2.09 parent0[1]: (8729) {G1,W9,D4,L2,V0,M2} { ! subset( relation_rng(
% 1.68/2.09 relation_dom_restriction( skol12, skol13 ) ), relation_rng( skol12 ) ), !
% 1.68/2.09 relation( skol12 ) }.
% 1.68/2.09 parent1[0]: (49) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 1.68/2.09 substitution0:
% 1.68/2.09 end
% 1.68/2.09 substitution1:
% 1.68/2.09 end
% 1.68/2.09
% 1.68/2.09 subsumption: (389) {G1,W7,D4,L1,V0,M1} R(52,51);r(49) { ! subset(
% 1.68/2.09 relation_rng( relation_dom_restriction( skol12, skol13 ) ), relation_rng
% 1.68/2.09 ( skol12 ) ) }.
% 1.68/2.09 parent0: (8730) {G1,W7,D4,L1,V0,M1} { ! subset( relation_rng(
% 1.68/2.09 relation_dom_restriction( skol12, skol13 ) ), relation_rng( skol12 ) )
% 1.68/2.09 }.
% 1.68/2.09 substitution0:
% 1.68/2.09 end
% 1.68/2.09 permutation0:
% 1.68/2.09 0 ==> 0
% 1.68/2.09 end
% 1.68/2.09
% 1.68/2.09 resolution: (8731) {G1,W7,D4,L1,V1,M1} { subset( relation_rng(
% 1.68/2.09 relation_dom_restriction( skol12, X ) ), relation_rng( skol12 ) ) }.
% 1.68/2.09 parent0[0]: (53) {G0,W9,D4,L2,V2,M2} I { ! relation( X ), subset(
% 1.68/2.09 relation_rng( relation_dom_restriction( X, Y ) ), relation_rng( X ) ) }.
% 1.68/2.09 parent1[0]: (49) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 1.68/2.09 substitution0:
% 1.68/2.09 X := skol12
% 1.68/2.09 Y := X
% 1.68/2.09 end
% 1.68/2.09 substitution1:
% 1.68/2.09 end
% 1.68/2.09
% 1.68/2.09 subsumption: (423) {G1,W7,D4,L1,V1,M1} R(53,49) { subset( relation_rng(
% 1.68/2.09 relation_dom_restriction( skol12, X ) ), relation_rng( skol12 ) ) }.
% 1.68/2.09 parent0: (8731) {G1,W7,D4,L1,V1,M1} { subset( relation_rng(
% 1.68/2.09 relation_dom_restriction( skol12, X ) ), relation_rng( skol12 ) ) }.
% 1.68/2.09 substitution0:
% 1.68/2.09 X := X
% 1.68/2.09 end
% 1.68/2.09 permutation0:
% 1.68/2.09 0 ==> 0
% 1.68/2.09 end
% 1.68/2.09
% 1.68/2.09 resolution: (8732) {G2,W0,D0,L0,V0,M0} { }.
% 1.68/2.09 parent0[0]: (389) {G1,W7,D4,L1,V0,M1} R(52,51);r(49) { ! subset(
% 1.68/2.09 relation_rng( relation_dom_restriction( skol12, skol13 ) ), relation_rng
% 1.68/2.09 ( skol12 ) ) }.
% 1.68/2.09 parent1[0]: (423) {G1,W7,D4,L1,V1,M1} R(53,49) { subset( relation_rng(
% 1.68/2.09 relation_dom_restriction( skol12, X ) ), relation_rng( skol12 ) ) }.
% 1.68/2.09 substitution0:
% 1.68/2.09 end
% 1.68/2.09 substitution1:
% 1.68/2.09 X := skol13
% 1.68/2.09 end
% 1.68/2.09
% 1.68/2.09 subsumption: (8655) {G2,W0,D0,L0,V0,M0} S(389);r(423) { }.
% 1.68/2.09 parent0: (8732) {G2,W0,D0,L0,V0,M0} { }.
% 1.68/2.09 substitution0:
% 1.68/2.09 end
% 1.68/2.09 permutation0:
% 1.68/2.09 end
% 1.68/2.09
% 1.68/2.09 Proof check complete!
% 1.68/2.09
% 1.68/2.09 Memory use:
% 1.68/2.09
% 1.68/2.09 space for terms: 106452
% 1.68/2.09 space for clauses: 385923
% 1.68/2.09
% 1.68/2.09
% 1.68/2.09 clauses generated: 54862
% 1.68/2.09 clauses kept: 8656
% 1.68/2.09 clauses selected: 743
% 1.68/2.09 clauses deleted: 280
% 1.68/2.09 clauses inuse deleted: 92
% 1.68/2.09
% 1.68/2.09 subsentry: 164059
% 1.68/2.09 literals s-matched: 126886
% 1.68/2.09 literals matched: 117877
% 1.68/2.09 full subsumption: 20136
% 1.68/2.09
% 1.68/2.09 checksum: -2078357122
% 1.68/2.09
% 1.68/2.09
% 1.68/2.09 Bliksem ended
%------------------------------------------------------------------------------