TSTP Solution File: SEU219+3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU219+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 07:11:32 EDT 2022
% Result : Theorem 0.72s 1.16s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU219+3 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun Jun 19 19:32:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.72/1.16 *** allocated 10000 integers for termspace/termends
% 0.72/1.16 *** allocated 10000 integers for clauses
% 0.72/1.16 *** allocated 10000 integers for justifications
% 0.72/1.16 Bliksem 1.12
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 Automatic Strategy Selection
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 Clauses:
% 0.72/1.16
% 0.72/1.16 { ! in( X, Y ), ! in( Y, X ) }.
% 0.72/1.16 { ! empty( X ), function( X ) }.
% 0.72/1.16 { ! empty( X ), relation( X ) }.
% 0.72/1.16 { ! relation( X ), ! empty( X ), ! function( X ), relation( X ) }.
% 0.72/1.16 { ! relation( X ), ! empty( X ), ! function( X ), function( X ) }.
% 0.72/1.16 { ! relation( X ), ! empty( X ), ! function( X ), one_to_one( X ) }.
% 0.72/1.16 { ! relation( X ), ! function( X ), ! one_to_one( X ), function_inverse( X
% 0.72/1.16 ) = relation_inverse( X ) }.
% 0.72/1.16 { ! relation( X ), ! function( X ), relation( function_inverse( X ) ) }.
% 0.72/1.16 { ! relation( X ), ! function( X ), function( function_inverse( X ) ) }.
% 0.72/1.16 { ! relation( X ), relation( relation_inverse( X ) ) }.
% 0.72/1.16 { element( skol1( X ), X ) }.
% 0.72/1.16 { ! empty( X ), empty( relation_inverse( X ) ) }.
% 0.72/1.16 { ! empty( X ), relation( relation_inverse( X ) ) }.
% 0.72/1.16 { empty( empty_set ) }.
% 0.72/1.16 { relation( empty_set ) }.
% 0.72/1.16 { relation_empty_yielding( empty_set ) }.
% 0.72/1.16 { ! empty( powerset( X ) ) }.
% 0.72/1.16 { empty( empty_set ) }.
% 0.72/1.16 { ! relation( X ), ! function( X ), ! one_to_one( X ), relation(
% 0.72/1.16 relation_inverse( X ) ) }.
% 0.72/1.16 { ! relation( X ), ! function( X ), ! one_to_one( X ), function(
% 0.72/1.16 relation_inverse( X ) ) }.
% 0.72/1.16 { empty( empty_set ) }.
% 0.72/1.16 { relation( empty_set ) }.
% 0.72/1.16 { empty( X ), ! relation( X ), ! empty( relation_dom( X ) ) }.
% 0.72/1.16 { empty( X ), ! relation( X ), ! empty( relation_rng( X ) ) }.
% 0.72/1.16 { ! empty( X ), empty( relation_dom( X ) ) }.
% 0.72/1.16 { ! empty( X ), relation( relation_dom( X ) ) }.
% 0.72/1.16 { ! empty( X ), empty( relation_rng( X ) ) }.
% 0.72/1.16 { ! empty( X ), relation( relation_rng( X ) ) }.
% 0.72/1.16 { ! relation( X ), relation_inverse( relation_inverse( X ) ) = X }.
% 0.72/1.16 { relation( skol2 ) }.
% 0.72/1.16 { function( skol2 ) }.
% 0.72/1.16 { empty( skol3 ) }.
% 0.72/1.16 { relation( skol3 ) }.
% 0.72/1.16 { empty( X ), ! empty( skol4( Y ) ) }.
% 0.72/1.16 { empty( X ), element( skol4( X ), powerset( X ) ) }.
% 0.72/1.16 { empty( skol5 ) }.
% 0.72/1.16 { relation( skol6 ) }.
% 0.72/1.16 { empty( skol6 ) }.
% 0.72/1.16 { function( skol6 ) }.
% 0.72/1.16 { ! empty( skol7 ) }.
% 0.72/1.16 { relation( skol7 ) }.
% 0.72/1.16 { empty( skol8( Y ) ) }.
% 0.72/1.16 { element( skol8( X ), powerset( X ) ) }.
% 0.72/1.16 { ! empty( skol9 ) }.
% 0.72/1.16 { relation( skol10 ) }.
% 0.72/1.16 { function( skol10 ) }.
% 0.72/1.16 { one_to_one( skol10 ) }.
% 0.72/1.16 { relation( skol11 ) }.
% 0.72/1.16 { relation_empty_yielding( skol11 ) }.
% 0.72/1.16 { subset( X, X ) }.
% 0.72/1.16 { ! in( X, Y ), element( X, Y ) }.
% 0.72/1.16 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.72/1.16 { ! relation( X ), relation_rng( X ) = relation_dom( relation_inverse( X )
% 0.72/1.16 ) }.
% 0.72/1.16 { ! relation( X ), relation_dom( X ) = relation_rng( relation_inverse( X )
% 0.72/1.16 ) }.
% 0.72/1.16 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 0.72/1.16 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 0.72/1.16 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 0.72/1.16 { relation( skol12 ) }.
% 0.72/1.16 { function( skol12 ) }.
% 0.72/1.16 { one_to_one( skol12 ) }.
% 0.72/1.16 { ! relation_rng( skol12 ) = relation_dom( function_inverse( skol12 ) ), !
% 0.72/1.16 relation_dom( skol12 ) = relation_rng( function_inverse( skol12 ) ) }.
% 0.72/1.16 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 0.72/1.16 { ! empty( X ), X = empty_set }.
% 0.72/1.16 { ! in( X, Y ), ! empty( Y ) }.
% 0.72/1.16 { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.72/1.16
% 0.72/1.16 percentage equality = 0.076190, percentage horn = 0.966102
% 0.72/1.16 This is a problem with some equality
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 Options Used:
% 0.72/1.16
% 0.72/1.16 useres = 1
% 0.72/1.16 useparamod = 1
% 0.72/1.16 useeqrefl = 1
% 0.72/1.16 useeqfact = 1
% 0.72/1.16 usefactor = 1
% 0.72/1.16 usesimpsplitting = 0
% 0.72/1.16 usesimpdemod = 5
% 0.72/1.16 usesimpres = 3
% 0.72/1.16
% 0.72/1.16 resimpinuse = 1000
% 0.72/1.16 resimpclauses = 20000
% 0.72/1.16 substype = eqrewr
% 0.72/1.16 backwardsubs = 1
% 0.72/1.16 selectoldest = 5
% 0.72/1.16
% 0.72/1.16 litorderings [0] = split
% 0.72/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.16
% 0.72/1.16 termordering = kbo
% 0.72/1.16
% 0.72/1.16 litapriori = 0
% 0.72/1.16 termapriori = 1
% 0.72/1.16 litaposteriori = 0
% 0.72/1.16 termaposteriori = 0
% 0.72/1.16 demodaposteriori = 0
% 0.72/1.16 ordereqreflfact = 0
% 0.72/1.16
% 0.72/1.16 litselect = negord
% 0.72/1.16
% 0.72/1.16 maxweight = 15
% 0.72/1.16 maxdepth = 30000
% 0.72/1.16 maxlength = 115
% 0.72/1.16 maxnrvars = 195
% 0.72/1.16 excuselevel = 1
% 0.72/1.16 increasemaxweight = 1
% 0.72/1.16
% 0.72/1.16 maxselected = 10000000
% 0.72/1.16 maxnrclauses = 10000000
% 0.72/1.16
% 0.72/1.16 showgenerated = 0
% 0.72/1.16 showkept = 0
% 0.72/1.16 showselected = 0
% 0.72/1.16 showdeleted = 0
% 0.72/1.16 showresimp = 1
% 0.72/1.16 showstatus = 2000
% 0.72/1.16
% 0.72/1.16 prologoutput = 0
% 0.72/1.16 nrgoals = 5000000
% 0.72/1.16 totalproof = 1
% 0.72/1.16
% 0.72/1.16 Symbols occurring in the translation:
% 0.72/1.16
% 0.72/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.16 . [1, 2] (w:1, o:37, a:1, s:1, b:0),
% 0.72/1.16 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.72/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.16 in [37, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.72/1.16 empty [38, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.16 function [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.16 relation [40, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.72/1.16 one_to_one [41, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.72/1.16 function_inverse [42, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.72/1.16 relation_inverse [43, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.72/1.16 element [44, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.72/1.16 empty_set [45, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.72/1.16 relation_empty_yielding [46, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.72/1.16 powerset [47, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.72/1.16 relation_dom [48, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.72/1.16 relation_rng [49, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.72/1.16 subset [50, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.72/1.16 skol1 [52, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.72/1.16 skol2 [53, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.72/1.16 skol3 [54, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.72/1.16 skol4 [55, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.72/1.16 skol5 [56, 0] (w:1, o:15, a:1, s:1, b:1),
% 0.72/1.16 skol6 [57, 0] (w:1, o:16, a:1, s:1, b:1),
% 0.72/1.16 skol7 [58, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.72/1.16 skol8 [59, 1] (w:1, o:36, a:1, s:1, b:1),
% 0.72/1.16 skol9 [60, 0] (w:1, o:18, a:1, s:1, b:1),
% 0.72/1.16 skol10 [61, 0] (w:1, o:10, a:1, s:1, b:1),
% 0.72/1.16 skol11 [62, 0] (w:1, o:11, a:1, s:1, b:1),
% 0.72/1.16 skol12 [63, 0] (w:1, o:12, a:1, s:1, b:1).
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 Starting Search:
% 0.72/1.16
% 0.72/1.16 *** allocated 15000 integers for clauses
% 0.72/1.16 *** allocated 22500 integers for clauses
% 0.72/1.16 *** allocated 33750 integers for clauses
% 0.72/1.16 *** allocated 50625 integers for clauses
% 0.72/1.16 *** allocated 75937 integers for clauses
% 0.72/1.16 Resimplifying inuse:
% 0.72/1.16 Done
% 0.72/1.16
% 0.72/1.16 *** allocated 15000 integers for termspace/termends
% 0.72/1.16 *** allocated 113905 integers for clauses
% 0.72/1.16 *** allocated 22500 integers for termspace/termends
% 0.72/1.16
% 0.72/1.16 Intermediate Status:
% 0.72/1.16 Generated: 7903
% 0.72/1.16 Kept: 2012
% 0.72/1.16 Inuse: 352
% 0.72/1.16 Deleted: 345
% 0.72/1.16 Deletedinuse: 96
% 0.72/1.16
% 0.72/1.16 Resimplifying inuse:
% 0.72/1.16
% 0.72/1.16 Bliksems!, er is een bewijs:
% 0.72/1.16 % SZS status Theorem
% 0.72/1.16 % SZS output start Refutation
% 0.72/1.16
% 0.72/1.16 (4) {G0,W11,D3,L4,V1,M4} I { ! relation( X ), ! function( X ), ! one_to_one
% 0.72/1.16 ( X ), relation_inverse( X ) ==> function_inverse( X ) }.
% 0.72/1.16 (45) {G0,W8,D4,L2,V1,M2} I { ! relation( X ), relation_dom(
% 0.72/1.16 relation_inverse( X ) ) ==> relation_rng( X ) }.
% 0.72/1.16 (46) {G0,W8,D4,L2,V1,M2} I { ! relation( X ), relation_rng(
% 0.72/1.16 relation_inverse( X ) ) ==> relation_dom( X ) }.
% 0.72/1.16 (50) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 0.72/1.16 (51) {G0,W2,D2,L1,V0,M1} I { function( skol12 ) }.
% 0.72/1.16 (52) {G0,W2,D2,L1,V0,M1} I { one_to_one( skol12 ) }.
% 0.72/1.16 (53) {G0,W12,D4,L2,V0,M2} I { ! relation_dom( function_inverse( skol12 ) )
% 0.72/1.16 ==> relation_rng( skol12 ), ! relation_rng( function_inverse( skol12 ) )
% 0.72/1.16 ==> relation_dom( skol12 ) }.
% 0.72/1.16 (72) {G1,W7,D3,L2,V0,M2} R(4,50);r(51) { ! one_to_one( skol12 ),
% 0.72/1.16 relation_inverse( skol12 ) ==> function_inverse( skol12 ) }.
% 0.72/1.16 (816) {G2,W5,D3,L1,V0,M1} S(72);r(52) { relation_inverse( skol12 ) ==>
% 0.72/1.16 function_inverse( skol12 ) }.
% 0.72/1.16 (1014) {G3,W6,D4,L1,V0,M1} P(816,46);r(50) { relation_rng( function_inverse
% 0.72/1.16 ( skol12 ) ) ==> relation_dom( skol12 ) }.
% 0.72/1.16 (1015) {G3,W6,D4,L1,V0,M1} P(816,45);r(50) { relation_dom( function_inverse
% 0.72/1.16 ( skol12 ) ) ==> relation_rng( skol12 ) }.
% 0.72/1.16 (2012) {G4,W0,D0,L0,V0,M0} S(53);d(1015);q;d(1014);q { }.
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 % SZS output end Refutation
% 0.72/1.16 found a proof!
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 Unprocessed initial clauses:
% 0.72/1.16
% 0.72/1.16 (2014) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 0.72/1.16 (2015) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 0.72/1.16 (2016) {G0,W4,D2,L2,V1,M2} { ! empty( X ), relation( X ) }.
% 0.72/1.16 (2017) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 0.72/1.16 ), relation( X ) }.
% 0.72/1.16 (2018) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 0.72/1.16 ), function( X ) }.
% 0.72/1.16 (2019) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 0.72/1.16 ), one_to_one( X ) }.
% 0.72/1.16 (2020) {G0,W11,D3,L4,V1,M4} { ! relation( X ), ! function( X ), !
% 0.72/1.16 one_to_one( X ), function_inverse( X ) = relation_inverse( X ) }.
% 0.72/1.16 (2021) {G0,W7,D3,L3,V1,M3} { ! relation( X ), ! function( X ), relation(
% 0.72/1.16 function_inverse( X ) ) }.
% 0.72/1.16 (2022) {G0,W7,D3,L3,V1,M3} { ! relation( X ), ! function( X ), function(
% 0.72/1.16 function_inverse( X ) ) }.
% 0.72/1.16 (2023) {G0,W5,D3,L2,V1,M2} { ! relation( X ), relation( relation_inverse(
% 0.72/1.16 X ) ) }.
% 0.72/1.16 (2024) {G0,W4,D3,L1,V1,M1} { element( skol1( X ), X ) }.
% 0.72/1.16 (2025) {G0,W5,D3,L2,V1,M2} { ! empty( X ), empty( relation_inverse( X ) )
% 0.72/1.16 }.
% 0.72/1.16 (2026) {G0,W5,D3,L2,V1,M2} { ! empty( X ), relation( relation_inverse( X )
% 0.72/1.16 ) }.
% 0.72/1.16 (2027) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 0.72/1.16 (2028) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 0.72/1.16 (2029) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 0.72/1.16 (2030) {G0,W3,D3,L1,V1,M1} { ! empty( powerset( X ) ) }.
% 0.72/1.16 (2031) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 0.72/1.16 (2032) {G0,W9,D3,L4,V1,M4} { ! relation( X ), ! function( X ), !
% 0.72/1.16 one_to_one( X ), relation( relation_inverse( X ) ) }.
% 0.72/1.16 (2033) {G0,W9,D3,L4,V1,M4} { ! relation( X ), ! function( X ), !
% 0.72/1.16 one_to_one( X ), function( relation_inverse( X ) ) }.
% 0.72/1.16 (2034) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 0.72/1.16 (2035) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 0.72/1.16 (2036) {G0,W7,D3,L3,V1,M3} { empty( X ), ! relation( X ), ! empty(
% 0.72/1.16 relation_dom( X ) ) }.
% 0.72/1.16 (2037) {G0,W7,D3,L3,V1,M3} { empty( X ), ! relation( X ), ! empty(
% 0.72/1.16 relation_rng( X ) ) }.
% 0.72/1.16 (2038) {G0,W5,D3,L2,V1,M2} { ! empty( X ), empty( relation_dom( X ) ) }.
% 0.72/1.16 (2039) {G0,W5,D3,L2,V1,M2} { ! empty( X ), relation( relation_dom( X ) )
% 0.72/1.16 }.
% 0.72/1.16 (2040) {G0,W5,D3,L2,V1,M2} { ! empty( X ), empty( relation_rng( X ) ) }.
% 0.72/1.16 (2041) {G0,W5,D3,L2,V1,M2} { ! empty( X ), relation( relation_rng( X ) )
% 0.72/1.16 }.
% 0.72/1.16 (2042) {G0,W7,D4,L2,V1,M2} { ! relation( X ), relation_inverse(
% 0.72/1.16 relation_inverse( X ) ) = X }.
% 0.72/1.16 (2043) {G0,W2,D2,L1,V0,M1} { relation( skol2 ) }.
% 0.72/1.16 (2044) {G0,W2,D2,L1,V0,M1} { function( skol2 ) }.
% 0.72/1.16 (2045) {G0,W2,D2,L1,V0,M1} { empty( skol3 ) }.
% 0.72/1.16 (2046) {G0,W2,D2,L1,V0,M1} { relation( skol3 ) }.
% 0.72/1.16 (2047) {G0,W5,D3,L2,V2,M2} { empty( X ), ! empty( skol4( Y ) ) }.
% 0.72/1.16 (2048) {G0,W7,D3,L2,V1,M2} { empty( X ), element( skol4( X ), powerset( X
% 0.72/1.16 ) ) }.
% 0.72/1.16 (2049) {G0,W2,D2,L1,V0,M1} { empty( skol5 ) }.
% 0.72/1.16 (2050) {G0,W2,D2,L1,V0,M1} { relation( skol6 ) }.
% 0.72/1.16 (2051) {G0,W2,D2,L1,V0,M1} { empty( skol6 ) }.
% 0.72/1.16 (2052) {G0,W2,D2,L1,V0,M1} { function( skol6 ) }.
% 0.72/1.16 (2053) {G0,W2,D2,L1,V0,M1} { ! empty( skol7 ) }.
% 0.72/1.16 (2054) {G0,W2,D2,L1,V0,M1} { relation( skol7 ) }.
% 0.72/1.16 (2055) {G0,W3,D3,L1,V1,M1} { empty( skol8( Y ) ) }.
% 0.72/1.16 (2056) {G0,W5,D3,L1,V1,M1} { element( skol8( X ), powerset( X ) ) }.
% 0.72/1.16 (2057) {G0,W2,D2,L1,V0,M1} { ! empty( skol9 ) }.
% 0.72/1.16 (2058) {G0,W2,D2,L1,V0,M1} { relation( skol10 ) }.
% 0.72/1.16 (2059) {G0,W2,D2,L1,V0,M1} { function( skol10 ) }.
% 0.72/1.16 (2060) {G0,W2,D2,L1,V0,M1} { one_to_one( skol10 ) }.
% 0.72/1.16 (2061) {G0,W2,D2,L1,V0,M1} { relation( skol11 ) }.
% 0.72/1.16 (2062) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol11 ) }.
% 0.72/1.16 (2063) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 0.72/1.16 (2064) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 0.72/1.16 (2065) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.72/1.16 (2066) {G0,W8,D4,L2,V1,M2} { ! relation( X ), relation_rng( X ) =
% 0.72/1.16 relation_dom( relation_inverse( X ) ) }.
% 0.72/1.16 (2067) {G0,W8,D4,L2,V1,M2} { ! relation( X ), relation_dom( X ) =
% 0.72/1.16 relation_rng( relation_inverse( X ) ) }.
% 0.72/1.16 (2068) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y )
% 0.72/1.16 }.
% 0.72/1.16 (2069) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y ) )
% 0.72/1.16 }.
% 0.72/1.16 (2070) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y ) )
% 0.72/1.16 , element( X, Y ) }.
% 0.72/1.16 (2071) {G0,W2,D2,L1,V0,M1} { relation( skol12 ) }.
% 0.72/1.16 (2072) {G0,W2,D2,L1,V0,M1} { function( skol12 ) }.
% 0.72/1.16 (2073) {G0,W2,D2,L1,V0,M1} { one_to_one( skol12 ) }.
% 0.72/1.16 (2074) {G0,W12,D4,L2,V0,M2} { ! relation_rng( skol12 ) = relation_dom(
% 0.72/1.16 function_inverse( skol12 ) ), ! relation_dom( skol12 ) = relation_rng(
% 0.72/1.16 function_inverse( skol12 ) ) }.
% 0.72/1.16 (2075) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) ),
% 0.72/1.16 ! empty( Z ) }.
% 0.72/1.16 (2076) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 0.72/1.16 (2077) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 0.72/1.16 (2078) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 Total Proof:
% 0.72/1.16
% 0.72/1.16 eqswap: (2080) {G0,W11,D3,L4,V1,M4} { relation_inverse( X ) =
% 0.72/1.16 function_inverse( X ), ! relation( X ), ! function( X ), ! one_to_one( X
% 0.72/1.16 ) }.
% 0.72/1.16 parent0[3]: (2020) {G0,W11,D3,L4,V1,M4} { ! relation( X ), ! function( X )
% 0.72/1.16 , ! one_to_one( X ), function_inverse( X ) = relation_inverse( X ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 X := X
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 subsumption: (4) {G0,W11,D3,L4,V1,M4} I { ! relation( X ), ! function( X )
% 0.72/1.16 , ! one_to_one( X ), relation_inverse( X ) ==> function_inverse( X ) }.
% 0.72/1.16 parent0: (2080) {G0,W11,D3,L4,V1,M4} { relation_inverse( X ) =
% 0.72/1.16 function_inverse( X ), ! relation( X ), ! function( X ), ! one_to_one( X
% 0.72/1.16 ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 X := X
% 0.72/1.16 end
% 0.72/1.16 permutation0:
% 0.72/1.16 0 ==> 3
% 0.72/1.16 1 ==> 0
% 0.72/1.16 2 ==> 1
% 0.72/1.16 3 ==> 2
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 eqswap: (2084) {G0,W8,D4,L2,V1,M2} { relation_dom( relation_inverse( X ) )
% 0.72/1.16 = relation_rng( X ), ! relation( X ) }.
% 0.72/1.16 parent0[1]: (2066) {G0,W8,D4,L2,V1,M2} { ! relation( X ), relation_rng( X
% 0.72/1.16 ) = relation_dom( relation_inverse( X ) ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 X := X
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 subsumption: (45) {G0,W8,D4,L2,V1,M2} I { ! relation( X ), relation_dom(
% 0.72/1.16 relation_inverse( X ) ) ==> relation_rng( X ) }.
% 0.72/1.16 parent0: (2084) {G0,W8,D4,L2,V1,M2} { relation_dom( relation_inverse( X )
% 0.72/1.16 ) = relation_rng( X ), ! relation( X ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 X := X
% 0.72/1.16 end
% 0.72/1.16 permutation0:
% 0.72/1.16 0 ==> 1
% 0.72/1.16 1 ==> 0
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 eqswap: (2089) {G0,W8,D4,L2,V1,M2} { relation_rng( relation_inverse( X ) )
% 0.72/1.16 = relation_dom( X ), ! relation( X ) }.
% 0.72/1.16 parent0[1]: (2067) {G0,W8,D4,L2,V1,M2} { ! relation( X ), relation_dom( X
% 0.72/1.16 ) = relation_rng( relation_inverse( X ) ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 X := X
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 subsumption: (46) {G0,W8,D4,L2,V1,M2} I { ! relation( X ), relation_rng(
% 0.72/1.16 relation_inverse( X ) ) ==> relation_dom( X ) }.
% 0.72/1.16 parent0: (2089) {G0,W8,D4,L2,V1,M2} { relation_rng( relation_inverse( X )
% 0.72/1.16 ) = relation_dom( X ), ! relation( X ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 X := X
% 0.72/1.16 end
% 0.72/1.16 permutation0:
% 0.72/1.16 0 ==> 1
% 0.72/1.16 1 ==> 0
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 subsumption: (50) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 0.72/1.16 parent0: (2071) {G0,W2,D2,L1,V0,M1} { relation( skol12 ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16 permutation0:
% 0.72/1.16 0 ==> 0
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 subsumption: (51) {G0,W2,D2,L1,V0,M1} I { function( skol12 ) }.
% 0.72/1.16 parent0: (2072) {G0,W2,D2,L1,V0,M1} { function( skol12 ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16 permutation0:
% 0.72/1.16 0 ==> 0
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 subsumption: (52) {G0,W2,D2,L1,V0,M1} I { one_to_one( skol12 ) }.
% 0.72/1.16 parent0: (2073) {G0,W2,D2,L1,V0,M1} { one_to_one( skol12 ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16 permutation0:
% 0.72/1.16 0 ==> 0
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 eqswap: (2111) {G0,W12,D4,L2,V0,M2} { ! relation_rng( function_inverse(
% 0.72/1.16 skol12 ) ) = relation_dom( skol12 ), ! relation_rng( skol12 ) =
% 0.72/1.16 relation_dom( function_inverse( skol12 ) ) }.
% 0.72/1.16 parent0[1]: (2074) {G0,W12,D4,L2,V0,M2} { ! relation_rng( skol12 ) =
% 0.72/1.16 relation_dom( function_inverse( skol12 ) ), ! relation_dom( skol12 ) =
% 0.72/1.16 relation_rng( function_inverse( skol12 ) ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 eqswap: (2112) {G0,W12,D4,L2,V0,M2} { ! relation_dom( function_inverse(
% 0.72/1.16 skol12 ) ) = relation_rng( skol12 ), ! relation_rng( function_inverse(
% 0.72/1.16 skol12 ) ) = relation_dom( skol12 ) }.
% 0.72/1.16 parent0[1]: (2111) {G0,W12,D4,L2,V0,M2} { ! relation_rng( function_inverse
% 0.72/1.16 ( skol12 ) ) = relation_dom( skol12 ), ! relation_rng( skol12 ) =
% 0.72/1.16 relation_dom( function_inverse( skol12 ) ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 subsumption: (53) {G0,W12,D4,L2,V0,M2} I { ! relation_dom( function_inverse
% 0.72/1.16 ( skol12 ) ) ==> relation_rng( skol12 ), ! relation_rng( function_inverse
% 0.72/1.16 ( skol12 ) ) ==> relation_dom( skol12 ) }.
% 0.72/1.16 parent0: (2112) {G0,W12,D4,L2,V0,M2} { ! relation_dom( function_inverse(
% 0.72/1.16 skol12 ) ) = relation_rng( skol12 ), ! relation_rng( function_inverse(
% 0.72/1.16 skol12 ) ) = relation_dom( skol12 ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16 permutation0:
% 0.72/1.16 0 ==> 0
% 0.72/1.16 1 ==> 1
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 eqswap: (2113) {G0,W11,D3,L4,V1,M4} { function_inverse( X ) ==>
% 0.72/1.16 relation_inverse( X ), ! relation( X ), ! function( X ), ! one_to_one( X
% 0.72/1.16 ) }.
% 0.72/1.16 parent0[3]: (4) {G0,W11,D3,L4,V1,M4} I { ! relation( X ), ! function( X ),
% 0.72/1.16 ! one_to_one( X ), relation_inverse( X ) ==> function_inverse( X ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 X := X
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 resolution: (2114) {G1,W9,D3,L3,V0,M3} { function_inverse( skol12 ) ==>
% 0.72/1.16 relation_inverse( skol12 ), ! function( skol12 ), ! one_to_one( skol12 )
% 0.72/1.16 }.
% 0.72/1.16 parent0[1]: (2113) {G0,W11,D3,L4,V1,M4} { function_inverse( X ) ==>
% 0.72/1.16 relation_inverse( X ), ! relation( X ), ! function( X ), ! one_to_one( X
% 0.72/1.16 ) }.
% 0.72/1.16 parent1[0]: (50) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 X := skol12
% 0.72/1.16 end
% 0.72/1.16 substitution1:
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 resolution: (2115) {G1,W7,D3,L2,V0,M2} { function_inverse( skol12 ) ==>
% 0.72/1.16 relation_inverse( skol12 ), ! one_to_one( skol12 ) }.
% 0.72/1.16 parent0[1]: (2114) {G1,W9,D3,L3,V0,M3} { function_inverse( skol12 ) ==>
% 0.72/1.16 relation_inverse( skol12 ), ! function( skol12 ), ! one_to_one( skol12 )
% 0.72/1.16 }.
% 0.72/1.16 parent1[0]: (51) {G0,W2,D2,L1,V0,M1} I { function( skol12 ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16 substitution1:
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 eqswap: (2116) {G1,W7,D3,L2,V0,M2} { relation_inverse( skol12 ) ==>
% 0.72/1.16 function_inverse( skol12 ), ! one_to_one( skol12 ) }.
% 0.72/1.16 parent0[0]: (2115) {G1,W7,D3,L2,V0,M2} { function_inverse( skol12 ) ==>
% 0.72/1.16 relation_inverse( skol12 ), ! one_to_one( skol12 ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 subsumption: (72) {G1,W7,D3,L2,V0,M2} R(4,50);r(51) { ! one_to_one( skol12
% 0.72/1.16 ), relation_inverse( skol12 ) ==> function_inverse( skol12 ) }.
% 0.72/1.16 parent0: (2116) {G1,W7,D3,L2,V0,M2} { relation_inverse( skol12 ) ==>
% 0.72/1.16 function_inverse( skol12 ), ! one_to_one( skol12 ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16 permutation0:
% 0.72/1.16 0 ==> 1
% 0.72/1.16 1 ==> 0
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 resolution: (2118) {G1,W5,D3,L1,V0,M1} { relation_inverse( skol12 ) ==>
% 0.72/1.16 function_inverse( skol12 ) }.
% 0.72/1.16 parent0[0]: (72) {G1,W7,D3,L2,V0,M2} R(4,50);r(51) { ! one_to_one( skol12 )
% 0.72/1.16 , relation_inverse( skol12 ) ==> function_inverse( skol12 ) }.
% 0.72/1.16 parent1[0]: (52) {G0,W2,D2,L1,V0,M1} I { one_to_one( skol12 ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16 substitution1:
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 subsumption: (816) {G2,W5,D3,L1,V0,M1} S(72);r(52) { relation_inverse(
% 0.72/1.16 skol12 ) ==> function_inverse( skol12 ) }.
% 0.72/1.16 parent0: (2118) {G1,W5,D3,L1,V0,M1} { relation_inverse( skol12 ) ==>
% 0.72/1.16 function_inverse( skol12 ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16 permutation0:
% 0.72/1.16 0 ==> 0
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 eqswap: (2121) {G0,W8,D4,L2,V1,M2} { relation_dom( X ) ==> relation_rng(
% 0.72/1.16 relation_inverse( X ) ), ! relation( X ) }.
% 0.72/1.16 parent0[1]: (46) {G0,W8,D4,L2,V1,M2} I { ! relation( X ), relation_rng(
% 0.72/1.16 relation_inverse( X ) ) ==> relation_dom( X ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 X := X
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 paramod: (2122) {G1,W8,D4,L2,V0,M2} { relation_dom( skol12 ) ==>
% 0.72/1.16 relation_rng( function_inverse( skol12 ) ), ! relation( skol12 ) }.
% 0.72/1.16 parent0[0]: (816) {G2,W5,D3,L1,V0,M1} S(72);r(52) { relation_inverse(
% 0.72/1.16 skol12 ) ==> function_inverse( skol12 ) }.
% 0.72/1.16 parent1[0; 4]: (2121) {G0,W8,D4,L2,V1,M2} { relation_dom( X ) ==>
% 0.72/1.16 relation_rng( relation_inverse( X ) ), ! relation( X ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16 substitution1:
% 0.72/1.16 X := skol12
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 resolution: (2123) {G1,W6,D4,L1,V0,M1} { relation_dom( skol12 ) ==>
% 0.72/1.16 relation_rng( function_inverse( skol12 ) ) }.
% 0.72/1.16 parent0[1]: (2122) {G1,W8,D4,L2,V0,M2} { relation_dom( skol12 ) ==>
% 0.72/1.16 relation_rng( function_inverse( skol12 ) ), ! relation( skol12 ) }.
% 0.72/1.16 parent1[0]: (50) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16 substitution1:
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 eqswap: (2124) {G1,W6,D4,L1,V0,M1} { relation_rng( function_inverse(
% 0.72/1.16 skol12 ) ) ==> relation_dom( skol12 ) }.
% 0.72/1.16 parent0[0]: (2123) {G1,W6,D4,L1,V0,M1} { relation_dom( skol12 ) ==>
% 0.72/1.16 relation_rng( function_inverse( skol12 ) ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 subsumption: (1014) {G3,W6,D4,L1,V0,M1} P(816,46);r(50) { relation_rng(
% 0.72/1.16 function_inverse( skol12 ) ) ==> relation_dom( skol12 ) }.
% 0.72/1.16 parent0: (2124) {G1,W6,D4,L1,V0,M1} { relation_rng( function_inverse(
% 0.72/1.16 skol12 ) ) ==> relation_dom( skol12 ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16 permutation0:
% 0.72/1.16 0 ==> 0
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 eqswap: (2126) {G0,W8,D4,L2,V1,M2} { relation_rng( X ) ==> relation_dom(
% 0.72/1.16 relation_inverse( X ) ), ! relation( X ) }.
% 0.72/1.16 parent0[1]: (45) {G0,W8,D4,L2,V1,M2} I { ! relation( X ), relation_dom(
% 0.72/1.16 relation_inverse( X ) ) ==> relation_rng( X ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 X := X
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 paramod: (2127) {G1,W8,D4,L2,V0,M2} { relation_rng( skol12 ) ==>
% 0.72/1.16 relation_dom( function_inverse( skol12 ) ), ! relation( skol12 ) }.
% 0.72/1.16 parent0[0]: (816) {G2,W5,D3,L1,V0,M1} S(72);r(52) { relation_inverse(
% 0.72/1.16 skol12 ) ==> function_inverse( skol12 ) }.
% 0.72/1.16 parent1[0; 4]: (2126) {G0,W8,D4,L2,V1,M2} { relation_rng( X ) ==>
% 0.72/1.16 relation_dom( relation_inverse( X ) ), ! relation( X ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16 substitution1:
% 0.72/1.16 X := skol12
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 resolution: (2128) {G1,W6,D4,L1,V0,M1} { relation_rng( skol12 ) ==>
% 0.72/1.16 relation_dom( function_inverse( skol12 ) ) }.
% 0.72/1.16 parent0[1]: (2127) {G1,W8,D4,L2,V0,M2} { relation_rng( skol12 ) ==>
% 0.72/1.16 relation_dom( function_inverse( skol12 ) ), ! relation( skol12 ) }.
% 0.72/1.16 parent1[0]: (50) {G0,W2,D2,L1,V0,M1} I { relation( skol12 ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16 substitution1:
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 eqswap: (2129) {G1,W6,D4,L1,V0,M1} { relation_dom( function_inverse(
% 0.72/1.16 skol12 ) ) ==> relation_rng( skol12 ) }.
% 0.72/1.16 parent0[0]: (2128) {G1,W6,D4,L1,V0,M1} { relation_rng( skol12 ) ==>
% 0.72/1.16 relation_dom( function_inverse( skol12 ) ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 subsumption: (1015) {G3,W6,D4,L1,V0,M1} P(816,45);r(50) { relation_dom(
% 0.72/1.16 function_inverse( skol12 ) ) ==> relation_rng( skol12 ) }.
% 0.72/1.16 parent0: (2129) {G1,W6,D4,L1,V0,M1} { relation_dom( function_inverse(
% 0.72/1.16 skol12 ) ) ==> relation_rng( skol12 ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16 permutation0:
% 0.72/1.16 0 ==> 0
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 paramod: (2135) {G1,W11,D4,L2,V0,M2} { ! relation_rng( skol12 ) ==>
% 0.72/1.16 relation_rng( skol12 ), ! relation_rng( function_inverse( skol12 ) ) ==>
% 0.72/1.16 relation_dom( skol12 ) }.
% 0.72/1.16 parent0[0]: (1015) {G3,W6,D4,L1,V0,M1} P(816,45);r(50) { relation_dom(
% 0.72/1.16 function_inverse( skol12 ) ) ==> relation_rng( skol12 ) }.
% 0.72/1.16 parent1[0; 2]: (53) {G0,W12,D4,L2,V0,M2} I { ! relation_dom(
% 0.72/1.16 function_inverse( skol12 ) ) ==> relation_rng( skol12 ), ! relation_rng(
% 0.72/1.16 function_inverse( skol12 ) ) ==> relation_dom( skol12 ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16 substitution1:
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 eqrefl: (2136) {G0,W6,D4,L1,V0,M1} { ! relation_rng( function_inverse(
% 0.72/1.16 skol12 ) ) ==> relation_dom( skol12 ) }.
% 0.72/1.16 parent0[0]: (2135) {G1,W11,D4,L2,V0,M2} { ! relation_rng( skol12 ) ==>
% 0.72/1.16 relation_rng( skol12 ), ! relation_rng( function_inverse( skol12 ) ) ==>
% 0.72/1.16 relation_dom( skol12 ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 paramod: (2137) {G1,W5,D3,L1,V0,M1} { ! relation_dom( skol12 ) ==>
% 0.72/1.16 relation_dom( skol12 ) }.
% 0.72/1.16 parent0[0]: (1014) {G3,W6,D4,L1,V0,M1} P(816,46);r(50) { relation_rng(
% 0.72/1.16 function_inverse( skol12 ) ) ==> relation_dom( skol12 ) }.
% 0.72/1.16 parent1[0; 2]: (2136) {G0,W6,D4,L1,V0,M1} { ! relation_rng(
% 0.72/1.16 function_inverse( skol12 ) ) ==> relation_dom( skol12 ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16 substitution1:
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 eqrefl: (2138) {G0,W0,D0,L0,V0,M0} { }.
% 0.72/1.16 parent0[0]: (2137) {G1,W5,D3,L1,V0,M1} { ! relation_dom( skol12 ) ==>
% 0.72/1.16 relation_dom( skol12 ) }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 subsumption: (2012) {G4,W0,D0,L0,V0,M0} S(53);d(1015);q;d(1014);q { }.
% 0.72/1.16 parent0: (2138) {G0,W0,D0,L0,V0,M0} { }.
% 0.72/1.16 substitution0:
% 0.72/1.16 end
% 0.72/1.16 permutation0:
% 0.72/1.16 end
% 0.72/1.16
% 0.72/1.16 Proof check complete!
% 0.72/1.16
% 0.72/1.16 Memory use:
% 0.72/1.16
% 0.72/1.16 space for terms: 19901
% 0.72/1.16 space for clauses: 104323
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 clauses generated: 7915
% 0.72/1.16 clauses kept: 2013
% 0.72/1.16 clauses selected: 352
% 0.72/1.16 clauses deleted: 364
% 0.72/1.16 clauses inuse deleted: 115
% 0.72/1.16
% 0.72/1.16 subsentry: 9649
% 0.72/1.16 literals s-matched: 7932
% 0.72/1.16 literals matched: 7813
% 0.72/1.16 full subsumption: 871
% 0.72/1.16
% 0.72/1.16 checksum: -80486968
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 Bliksem ended
%------------------------------------------------------------------------------