%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU219+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 07:11:31 EDT 2022
% Result : Theorem 0.78s 1.18s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU219+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n013.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 : Sun Jun 19 17:02:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.78/1.18 *** allocated 10000 integers for termspace/termends
% 0.78/1.18 *** allocated 10000 integers for clauses
% 0.78/1.18 *** allocated 10000 integers for justifications
% 0.78/1.18 Bliksem 1.12
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 Automatic Strategy Selection
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 Clauses:
% 0.78/1.18
% 0.78/1.18 { ! relation( X ), ! function( X ), ! one_to_one( X ), function_inverse( X
% 0.78/1.18 ) = relation_inverse( X ) }.
% 0.78/1.18 { && }.
% 0.78/1.18 { ! relation( X ), ! function( X ), relation( function_inverse( X ) ) }.
% 0.78/1.18 { ! relation( X ), ! function( X ), function( function_inverse( X ) ) }.
% 0.78/1.18 { && }.
% 0.78/1.18 { ! relation( X ), relation( relation_inverse( X ) ) }.
% 0.78/1.18 { ! relation( X ), ! function( X ), ! one_to_one( X ), relation(
% 0.78/1.18 relation_inverse( X ) ) }.
% 0.78/1.18 { ! relation( X ), ! function( X ), ! one_to_one( X ), function(
% 0.78/1.18 relation_inverse( X ) ) }.
% 0.78/1.18 { ! relation( X ), relation_inverse( relation_inverse( X ) ) = X }.
% 0.78/1.18 { relation( skol1 ) }.
% 0.78/1.18 { function( skol1 ) }.
% 0.78/1.18 { relation( skol2 ) }.
% 0.78/1.18 { function( skol2 ) }.
% 0.78/1.18 { one_to_one( skol2 ) }.
% 0.78/1.18 { ! relation( X ), relation_rng( X ) = relation_dom( relation_inverse( X )
% 0.78/1.18 ) }.
% 0.78/1.18 { ! relation( X ), relation_dom( X ) = relation_rng( relation_inverse( X )
% 0.78/1.18 ) }.
% 0.78/1.18 { relation( skol3 ) }.
% 0.78/1.18 { function( skol3 ) }.
% 0.78/1.18 { one_to_one( skol3 ) }.
% 0.78/1.18 { ! relation_rng( skol3 ) = relation_dom( function_inverse( skol3 ) ), !
% 0.78/1.18 relation_dom( skol3 ) = relation_rng( function_inverse( skol3 ) ) }.
% 0.78/1.18
% 0.78/1.18 percentage equality = 0.181818, percentage horn = 1.000000
% 0.78/1.18 This is a problem with some equality
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 Options Used:
% 0.78/1.18
% 0.78/1.18 useres = 1
% 0.78/1.18 useparamod = 1
% 0.78/1.18 useeqrefl = 1
% 0.78/1.18 useeqfact = 1
% 0.78/1.18 usefactor = 1
% 0.78/1.18 usesimpsplitting = 0
% 0.78/1.18 usesimpdemod = 5
% 0.78/1.18 usesimpres = 3
% 0.78/1.18
% 0.78/1.18 resimpinuse = 1000
% 0.78/1.18 resimpclauses = 20000
% 0.78/1.18 substype = eqrewr
% 0.78/1.18 backwardsubs = 1
% 0.78/1.18 selectoldest = 5
% 0.78/1.18
% 0.78/1.18 litorderings [0] = split
% 0.78/1.18 litorderings [1] = extend the termordering, first sorting on arguments
% 0.78/1.18
% 0.78/1.18 termordering = kbo
% 0.78/1.18
% 0.78/1.18 litapriori = 0
% 0.78/1.18 termapriori = 1
% 0.78/1.18 litaposteriori = 0
% 0.78/1.18 termaposteriori = 0
% 0.78/1.18 demodaposteriori = 0
% 0.78/1.18 ordereqreflfact = 0
% 0.78/1.18
% 0.78/1.18 litselect = negord
% 0.78/1.18
% 0.78/1.18 maxweight = 15
% 0.78/1.18 maxdepth = 30000
% 0.78/1.18 maxlength = 115
% 0.78/1.18 maxnrvars = 195
% 0.78/1.18 excuselevel = 1
% 0.78/1.18 increasemaxweight = 1
% 0.78/1.18
% 0.78/1.18 maxselected = 10000000
% 0.78/1.18 maxnrclauses = 10000000
% 0.78/1.18
% 0.78/1.18 showgenerated = 0
% 0.78/1.18 showkept = 0
% 0.78/1.18 showselected = 0
% 0.78/1.18 showdeleted = 0
% 0.78/1.18 showresimp = 1
% 0.78/1.18 showstatus = 2000
% 0.78/1.18
% 0.78/1.18 prologoutput = 0
% 0.78/1.18 nrgoals = 5000000
% 0.78/1.18 totalproof = 1
% 0.78/1.18
% 0.78/1.18 Symbols occurring in the translation:
% 0.78/1.18
% 0.78/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.78/1.18 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.78/1.18 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.78/1.18 ! [4, 1] (w:0, o:10, a:1, s:1, b:0),
% 0.78/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.18 relation [36, 1] (w:1, o:15, a:1, s:1, b:0),
% 0.78/1.18 function [37, 1] (w:1, o:16, a:1, s:1, b:0),
% 0.78/1.18 one_to_one [38, 1] (w:1, o:17, a:1, s:1, b:0),
% 0.78/1.18 function_inverse [39, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.78/1.18 relation_inverse [40, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.78/1.18 relation_rng [41, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.78/1.18 relation_dom [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.78/1.18 skol1 [43, 0] (w:1, o:7, a:1, s:1, b:1),
% 0.78/1.18 skol2 [44, 0] (w:1, o:8, a:1, s:1, b:1),
% 0.78/1.18 skol3 [45, 0] (w:1, o:9, a:1, s:1, b:1).
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 Starting Search:
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 Bliksems!, er is een bewijs:
% 0.78/1.18 % SZS status Theorem
% 0.78/1.18 % SZS output start Refutation
% 0.78/1.18
% 0.78/1.18 (0) {G0,W11,D3,L4,V1,M4} I { ! relation( X ), ! function( X ), ! one_to_one
% 0.78/1.18 ( X ), relation_inverse( X ) ==> function_inverse( X ) }.
% 0.78/1.18 (11) {G0,W8,D4,L2,V1,M2} I { ! relation( X ), relation_dom(
% 0.78/1.18 relation_inverse( X ) ) ==> relation_rng( X ) }.
% 0.78/1.18 (12) {G0,W8,D4,L2,V1,M2} I { ! relation( X ), relation_rng(
% 0.78/1.18 relation_inverse( X ) ) ==> relation_dom( X ) }.
% 0.78/1.18 (13) {G0,W2,D2,L1,V0,M1} I { relation( skol3 ) }.
% 0.78/1.18 (14) {G0,W2,D2,L1,V0,M1} I { function( skol3 ) }.
% 0.78/1.18 (15) {G0,W2,D2,L1,V0,M1} I { one_to_one( skol3 ) }.
% 0.78/1.18 (16) {G0,W12,D4,L2,V0,M2} I { ! relation_dom( function_inverse( skol3 ) )
% 0.78/1.18 ==> relation_rng( skol3 ), ! relation_rng( function_inverse( skol3 ) )
% 0.78/1.18 ==> relation_dom( skol3 ) }.
% 0.78/1.18 (18) {G1,W7,D3,L2,V0,M2} R(0,13);r(14) { ! one_to_one( skol3 ),
% 0.78/1.18 relation_inverse( skol3 ) ==> function_inverse( skol3 ) }.
% 0.78/1.18 (138) {G2,W5,D3,L1,V0,M1} S(18);r(15) { relation_inverse( skol3 ) ==>
% 0.78/1.18 function_inverse( skol3 ) }.
% 0.78/1.18 (140) {G3,W6,D4,L1,V0,M1} P(138,12);r(13) { relation_rng( function_inverse
% 0.78/1.18 ( skol3 ) ) ==> relation_dom( skol3 ) }.
% 0.78/1.18 (141) {G3,W6,D4,L1,V0,M1} P(138,11);r(13) { relation_dom( function_inverse
% 0.78/1.18 ( skol3 ) ) ==> relation_rng( skol3 ) }.
% 0.78/1.18 (159) {G4,W0,D0,L0,V0,M0} R(140,16);d(141);q { }.
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 % SZS output end Refutation
% 0.78/1.18 found a proof!
% 0.78/1.18
% 0.78/1.18 *** allocated 15000 integers for clauses
% 0.78/1.18
% 0.78/1.18 Unprocessed initial clauses:
% 0.78/1.18
% 0.78/1.18 (161) {G0,W11,D3,L4,V1,M4} { ! relation( X ), ! function( X ), !
% 0.78/1.18 one_to_one( X ), function_inverse( X ) = relation_inverse( X ) }.
% 0.78/1.18 (162) {G0,W1,D1,L1,V0,M1} { && }.
% 0.78/1.18 (163) {G0,W7,D3,L3,V1,M3} { ! relation( X ), ! function( X ), relation(
% 0.78/1.18 function_inverse( X ) ) }.
% 0.78/1.18 (164) {G0,W7,D3,L3,V1,M3} { ! relation( X ), ! function( X ), function(
% 0.78/1.18 function_inverse( X ) ) }.
% 0.78/1.18 (165) {G0,W1,D1,L1,V0,M1} { && }.
% 0.78/1.18 (166) {G0,W5,D3,L2,V1,M2} { ! relation( X ), relation( relation_inverse( X
% 0.78/1.18 ) ) }.
% 0.78/1.18 (167) {G0,W9,D3,L4,V1,M4} { ! relation( X ), ! function( X ), ! one_to_one
% 0.78/1.18 ( X ), relation( relation_inverse( X ) ) }.
% 0.78/1.18 (168) {G0,W9,D3,L4,V1,M4} { ! relation( X ), ! function( X ), ! one_to_one
% 0.78/1.18 ( X ), function( relation_inverse( X ) ) }.
% 0.78/1.18 (169) {G0,W7,D4,L2,V1,M2} { ! relation( X ), relation_inverse(
% 0.78/1.18 relation_inverse( X ) ) = X }.
% 0.78/1.18 (170) {G0,W2,D2,L1,V0,M1} { relation( skol1 ) }.
% 0.78/1.18 (171) {G0,W2,D2,L1,V0,M1} { function( skol1 ) }.
% 0.78/1.18 (172) {G0,W2,D2,L1,V0,M1} { relation( skol2 ) }.
% 0.78/1.18 (173) {G0,W2,D2,L1,V0,M1} { function( skol2 ) }.
% 0.78/1.18 (174) {G0,W2,D2,L1,V0,M1} { one_to_one( skol2 ) }.
% 0.78/1.18 (175) {G0,W8,D4,L2,V1,M2} { ! relation( X ), relation_rng( X ) =
% 0.78/1.18 relation_dom( relation_inverse( X ) ) }.
% 0.78/1.18 (176) {G0,W8,D4,L2,V1,M2} { ! relation( X ), relation_dom( X ) =
% 0.78/1.18 relation_rng( relation_inverse( X ) ) }.
% 0.78/1.18 (177) {G0,W2,D2,L1,V0,M1} { relation( skol3 ) }.
% 0.78/1.18 (178) {G0,W2,D2,L1,V0,M1} { function( skol3 ) }.
% 0.78/1.18 (179) {G0,W2,D2,L1,V0,M1} { one_to_one( skol3 ) }.
% 0.78/1.18 (180) {G0,W12,D4,L2,V0,M2} { ! relation_rng( skol3 ) = relation_dom(
% 0.78/1.18 function_inverse( skol3 ) ), ! relation_dom( skol3 ) = relation_rng(
% 0.78/1.18 function_inverse( skol3 ) ) }.
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 Total Proof:
% 0.78/1.18
% 0.78/1.18 eqswap: (181) {G0,W11,D3,L4,V1,M4} { relation_inverse( X ) =
% 0.78/1.18 function_inverse( X ), ! relation( X ), ! function( X ), ! one_to_one( X
% 0.78/1.18 ) }.
% 0.78/1.18 parent0[3]: (161) {G0,W11,D3,L4,V1,M4} { ! relation( X ), ! function( X )
% 0.78/1.18 , ! one_to_one( X ), function_inverse( X ) = relation_inverse( X ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 X := X
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 subsumption: (0) {G0,W11,D3,L4,V1,M4} I { ! relation( X ), ! function( X )
% 0.78/1.18 , ! one_to_one( X ), relation_inverse( X ) ==> function_inverse( X ) }.
% 0.78/1.18 parent0: (181) {G0,W11,D3,L4,V1,M4} { relation_inverse( X ) =
% 0.78/1.18 function_inverse( X ), ! relation( X ), ! function( X ), ! one_to_one( X
% 0.78/1.18 ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 X := X
% 0.78/1.18 end
% 0.78/1.18 permutation0:
% 0.78/1.18 0 ==> 3
% 0.78/1.18 1 ==> 0
% 0.78/1.18 2 ==> 1
% 0.78/1.18 3 ==> 2
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 eqswap: (184) {G0,W8,D4,L2,V1,M2} { relation_dom( relation_inverse( X ) )
% 0.78/1.18 = relation_rng( X ), ! relation( X ) }.
% 0.78/1.18 parent0[1]: (175) {G0,W8,D4,L2,V1,M2} { ! relation( X ), relation_rng( X )
% 0.78/1.18 = relation_dom( relation_inverse( X ) ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 X := X
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 subsumption: (11) {G0,W8,D4,L2,V1,M2} I { ! relation( X ), relation_dom(
% 0.78/1.18 relation_inverse( X ) ) ==> relation_rng( X ) }.
% 0.78/1.18 parent0: (184) {G0,W8,D4,L2,V1,M2} { relation_dom( relation_inverse( X ) )
% 0.78/1.18 = relation_rng( X ), ! relation( X ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 X := X
% 0.78/1.18 end
% 0.78/1.18 permutation0:
% 0.78/1.18 0 ==> 1
% 0.78/1.18 1 ==> 0
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 eqswap: (188) {G0,W8,D4,L2,V1,M2} { relation_rng( relation_inverse( X ) )
% 0.78/1.18 = relation_dom( X ), ! relation( X ) }.
% 0.78/1.18 parent0[1]: (176) {G0,W8,D4,L2,V1,M2} { ! relation( X ), relation_dom( X )
% 0.78/1.18 = relation_rng( relation_inverse( X ) ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 X := X
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 subsumption: (12) {G0,W8,D4,L2,V1,M2} I { ! relation( X ), relation_rng(
% 0.78/1.18 relation_inverse( X ) ) ==> relation_dom( X ) }.
% 0.78/1.18 parent0: (188) {G0,W8,D4,L2,V1,M2} { relation_rng( relation_inverse( X ) )
% 0.78/1.18 = relation_dom( X ), ! relation( X ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 X := X
% 0.78/1.18 end
% 0.78/1.18 permutation0:
% 0.78/1.18 0 ==> 1
% 0.78/1.18 1 ==> 0
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 subsumption: (13) {G0,W2,D2,L1,V0,M1} I { relation( skol3 ) }.
% 0.78/1.18 parent0: (177) {G0,W2,D2,L1,V0,M1} { relation( skol3 ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 end
% 0.78/1.18 permutation0:
% 0.78/1.18 0 ==> 0
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 subsumption: (14) {G0,W2,D2,L1,V0,M1} I { function( skol3 ) }.
% 0.78/1.18 parent0: (178) {G0,W2,D2,L1,V0,M1} { function( skol3 ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 end
% 0.78/1.18 permutation0:
% 0.78/1.18 0 ==> 0
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 subsumption: (15) {G0,W2,D2,L1,V0,M1} I { one_to_one( skol3 ) }.
% 0.78/1.18 parent0: (179) {G0,W2,D2,L1,V0,M1} { one_to_one( skol3 ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 end
% 0.78/1.18 permutation0:
% 0.78/1.18 0 ==> 0
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 eqswap: (206) {G0,W12,D4,L2,V0,M2} { ! relation_rng( function_inverse(
% 0.78/1.18 skol3 ) ) = relation_dom( skol3 ), ! relation_rng( skol3 ) = relation_dom
% 0.78/1.18 ( function_inverse( skol3 ) ) }.
% 0.78/1.18 parent0[1]: (180) {G0,W12,D4,L2,V0,M2} { ! relation_rng( skol3 ) =
% 0.78/1.18 relation_dom( function_inverse( skol3 ) ), ! relation_dom( skol3 ) =
% 0.78/1.18 relation_rng( function_inverse( skol3 ) ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 eqswap: (207) {G0,W12,D4,L2,V0,M2} { ! relation_dom( function_inverse(
% 0.78/1.18 skol3 ) ) = relation_rng( skol3 ), ! relation_rng( function_inverse(
% 0.78/1.18 skol3 ) ) = relation_dom( skol3 ) }.
% 0.78/1.18 parent0[1]: (206) {G0,W12,D4,L2,V0,M2} { ! relation_rng( function_inverse
% 0.78/1.18 ( skol3 ) ) = relation_dom( skol3 ), ! relation_rng( skol3 ) =
% 0.78/1.18 relation_dom( function_inverse( skol3 ) ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 subsumption: (16) {G0,W12,D4,L2,V0,M2} I { ! relation_dom( function_inverse
% 0.78/1.18 ( skol3 ) ) ==> relation_rng( skol3 ), ! relation_rng( function_inverse(
% 0.78/1.18 skol3 ) ) ==> relation_dom( skol3 ) }.
% 0.78/1.18 parent0: (207) {G0,W12,D4,L2,V0,M2} { ! relation_dom( function_inverse(
% 0.78/1.18 skol3 ) ) = relation_rng( skol3 ), ! relation_rng( function_inverse(
% 0.78/1.18 skol3 ) ) = relation_dom( skol3 ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 end
% 0.78/1.18 permutation0:
% 0.78/1.18 0 ==> 0
% 0.78/1.18 1 ==> 1
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 eqswap: (208) {G0,W11,D3,L4,V1,M4} { function_inverse( X ) ==>
% 0.78/1.18 relation_inverse( X ), ! relation( X ), ! function( X ), ! one_to_one( X
% 0.78/1.18 ) }.
% 0.78/1.18 parent0[3]: (0) {G0,W11,D3,L4,V1,M4} I { ! relation( X ), ! function( X ),
% 0.78/1.18 ! one_to_one( X ), relation_inverse( X ) ==> function_inverse( X ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 X := X
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 resolution: (209) {G1,W9,D3,L3,V0,M3} { function_inverse( skol3 ) ==>
% 0.78/1.18 relation_inverse( skol3 ), ! function( skol3 ), ! one_to_one( skol3 ) }.
% 0.78/1.18 parent0[1]: (208) {G0,W11,D3,L4,V1,M4} { function_inverse( X ) ==>
% 0.78/1.18 relation_inverse( X ), ! relation( X ), ! function( X ), ! one_to_one( X
% 0.78/1.18 ) }.
% 0.78/1.18 parent1[0]: (13) {G0,W2,D2,L1,V0,M1} I { relation( skol3 ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 X := skol3
% 0.78/1.18 end
% 0.78/1.18 substitution1:
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 resolution: (210) {G1,W7,D3,L2,V0,M2} { function_inverse( skol3 ) ==>
% 0.78/1.18 relation_inverse( skol3 ), ! one_to_one( skol3 ) }.
% 0.78/1.18 parent0[1]: (209) {G1,W9,D3,L3,V0,M3} { function_inverse( skol3 ) ==>
% 0.78/1.18 relation_inverse( skol3 ), ! function( skol3 ), ! one_to_one( skol3 ) }.
% 0.78/1.18 parent1[0]: (14) {G0,W2,D2,L1,V0,M1} I { function( skol3 ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 end
% 0.78/1.18 substitution1:
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 eqswap: (211) {G1,W7,D3,L2,V0,M2} { relation_inverse( skol3 ) ==>
% 0.78/1.18 function_inverse( skol3 ), ! one_to_one( skol3 ) }.
% 0.78/1.18 parent0[0]: (210) {G1,W7,D3,L2,V0,M2} { function_inverse( skol3 ) ==>
% 0.78/1.18 relation_inverse( skol3 ), ! one_to_one( skol3 ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 subsumption: (18) {G1,W7,D3,L2,V0,M2} R(0,13);r(14) { ! one_to_one( skol3 )
% 0.78/1.18 , relation_inverse( skol3 ) ==> function_inverse( skol3 ) }.
% 0.78/1.18 parent0: (211) {G1,W7,D3,L2,V0,M2} { relation_inverse( skol3 ) ==>
% 0.78/1.18 function_inverse( skol3 ), ! one_to_one( skol3 ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 end
% 0.78/1.18 permutation0:
% 0.78/1.18 0 ==> 1
% 0.78/1.18 1 ==> 0
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 resolution: (213) {G1,W5,D3,L1,V0,M1} { relation_inverse( skol3 ) ==>
% 0.78/1.18 function_inverse( skol3 ) }.
% 0.78/1.18 parent0[0]: (18) {G1,W7,D3,L2,V0,M2} R(0,13);r(14) { ! one_to_one( skol3 )
% 0.78/1.18 , relation_inverse( skol3 ) ==> function_inverse( skol3 ) }.
% 0.78/1.18 parent1[0]: (15) {G0,W2,D2,L1,V0,M1} I { one_to_one( skol3 ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 end
% 0.78/1.18 substitution1:
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 subsumption: (138) {G2,W5,D3,L1,V0,M1} S(18);r(15) { relation_inverse(
% 0.78/1.18 skol3 ) ==> function_inverse( skol3 ) }.
% 0.78/1.18 parent0: (213) {G1,W5,D3,L1,V0,M1} { relation_inverse( skol3 ) ==>
% 0.78/1.18 function_inverse( skol3 ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 end
% 0.78/1.18 permutation0:
% 0.78/1.18 0 ==> 0
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 eqswap: (216) {G0,W8,D4,L2,V1,M2} { relation_dom( X ) ==> relation_rng(
% 0.78/1.18 relation_inverse( X ) ), ! relation( X ) }.
% 0.78/1.18 parent0[1]: (12) {G0,W8,D4,L2,V1,M2} I { ! relation( X ), relation_rng(
% 0.78/1.18 relation_inverse( X ) ) ==> relation_dom( X ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 X := X
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 paramod: (217) {G1,W8,D4,L2,V0,M2} { relation_dom( skol3 ) ==>
% 0.78/1.18 relation_rng( function_inverse( skol3 ) ), ! relation( skol3 ) }.
% 0.78/1.18 parent0[0]: (138) {G2,W5,D3,L1,V0,M1} S(18);r(15) { relation_inverse( skol3
% 0.78/1.18 ) ==> function_inverse( skol3 ) }.
% 0.78/1.18 parent1[0; 4]: (216) {G0,W8,D4,L2,V1,M2} { relation_dom( X ) ==>
% 0.78/1.18 relation_rng( relation_inverse( X ) ), ! relation( X ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 end
% 0.78/1.18 substitution1:
% 0.78/1.18 X := skol3
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 resolution: (218) {G1,W6,D4,L1,V0,M1} { relation_dom( skol3 ) ==>
% 0.78/1.18 relation_rng( function_inverse( skol3 ) ) }.
% 0.78/1.18 parent0[1]: (217) {G1,W8,D4,L2,V0,M2} { relation_dom( skol3 ) ==>
% 0.78/1.18 relation_rng( function_inverse( skol3 ) ), ! relation( skol3 ) }.
% 0.78/1.18 parent1[0]: (13) {G0,W2,D2,L1,V0,M1} I { relation( skol3 ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 end
% 0.78/1.18 substitution1:
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 eqswap: (219) {G1,W6,D4,L1,V0,M1} { relation_rng( function_inverse( skol3
% 0.78/1.18 ) ) ==> relation_dom( skol3 ) }.
% 0.78/1.18 parent0[0]: (218) {G1,W6,D4,L1,V0,M1} { relation_dom( skol3 ) ==>
% 0.78/1.18 relation_rng( function_inverse( skol3 ) ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 subsumption: (140) {G3,W6,D4,L1,V0,M1} P(138,12);r(13) { relation_rng(
% 0.78/1.18 function_inverse( skol3 ) ) ==> relation_dom( skol3 ) }.
% 0.78/1.18 parent0: (219) {G1,W6,D4,L1,V0,M1} { relation_rng( function_inverse( skol3
% 0.78/1.18 ) ) ==> relation_dom( skol3 ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 end
% 0.78/1.18 permutation0:
% 0.78/1.18 0 ==> 0
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 eqswap: (221) {G0,W8,D4,L2,V1,M2} { relation_rng( X ) ==> relation_dom(
% 0.78/1.18 relation_inverse( X ) ), ! relation( X ) }.
% 0.78/1.18 parent0[1]: (11) {G0,W8,D4,L2,V1,M2} I { ! relation( X ), relation_dom(
% 0.78/1.18 relation_inverse( X ) ) ==> relation_rng( X ) }.
% 0.78/1.18 substitution0:
% 0.78/1.18 X := X
% 0.78/1.18 end
% 0.78/1.18
% 0.78/1.18 paramod: (222) {G1,W8,D4,L2,V0,M2} { relation_rng( skol3 ) ==>
% 0.78/1.18 relation_dom( function_inverse( skol3 ) ), ! relation( skol3 ) }.
% 0.78/1.18 parent0[0]: (138) {G2,W5,D3,L1,V0,M1} S(18);r(15) { relation_inverse( skol3
% 0.78/1.18 ) ==> function_inverse( skol3 ) }.
% 0.83/1.18 parent1[0; 4]: (221) {G0,W8,D4,L2,V1,M2} { relation_rng( X ) ==>
% 0.83/1.18 relation_dom( relation_inverse( X ) ), ! relation( X ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 end
% 0.83/1.18 substitution1:
% 0.83/1.18 X := skol3
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 resolution: (223) {G1,W6,D4,L1,V0,M1} { relation_rng( skol3 ) ==>
% 0.83/1.18 relation_dom( function_inverse( skol3 ) ) }.
% 0.83/1.18 parent0[1]: (222) {G1,W8,D4,L2,V0,M2} { relation_rng( skol3 ) ==>
% 0.83/1.18 relation_dom( function_inverse( skol3 ) ), ! relation( skol3 ) }.
% 0.83/1.18 parent1[0]: (13) {G0,W2,D2,L1,V0,M1} I { relation( skol3 ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 end
% 0.83/1.18 substitution1:
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 eqswap: (224) {G1,W6,D4,L1,V0,M1} { relation_dom( function_inverse( skol3
% 0.83/1.18 ) ) ==> relation_rng( skol3 ) }.
% 0.83/1.18 parent0[0]: (223) {G1,W6,D4,L1,V0,M1} { relation_rng( skol3 ) ==>
% 0.83/1.18 relation_dom( function_inverse( skol3 ) ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 subsumption: (141) {G3,W6,D4,L1,V0,M1} P(138,11);r(13) { relation_dom(
% 0.83/1.18 function_inverse( skol3 ) ) ==> relation_rng( skol3 ) }.
% 0.83/1.18 parent0: (224) {G1,W6,D4,L1,V0,M1} { relation_dom( function_inverse( skol3
% 0.83/1.18 ) ) ==> relation_rng( skol3 ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 end
% 0.83/1.18 permutation0:
% 0.83/1.18 0 ==> 0
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 eqswap: (225) {G3,W6,D4,L1,V0,M1} { relation_dom( skol3 ) ==> relation_rng
% 0.83/1.18 ( function_inverse( skol3 ) ) }.
% 0.83/1.18 parent0[0]: (140) {G3,W6,D4,L1,V0,M1} P(138,12);r(13) { relation_rng(
% 0.83/1.18 function_inverse( skol3 ) ) ==> relation_dom( skol3 ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 eqswap: (227) {G0,W12,D4,L2,V0,M2} { ! relation_dom( skol3 ) ==>
% 0.83/1.18 relation_rng( function_inverse( skol3 ) ), ! relation_dom(
% 0.83/1.18 function_inverse( skol3 ) ) ==> relation_rng( skol3 ) }.
% 0.83/1.18 parent0[1]: (16) {G0,W12,D4,L2,V0,M2} I { ! relation_dom( function_inverse
% 0.83/1.18 ( skol3 ) ) ==> relation_rng( skol3 ), ! relation_rng( function_inverse(
% 0.83/1.18 skol3 ) ) ==> relation_dom( skol3 ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 eqswap: (228) {G0,W12,D4,L2,V0,M2} { ! relation_rng( skol3 ) ==>
% 0.83/1.18 relation_dom( function_inverse( skol3 ) ), ! relation_dom( skol3 ) ==>
% 0.83/1.18 relation_rng( function_inverse( skol3 ) ) }.
% 0.83/1.18 parent0[1]: (227) {G0,W12,D4,L2,V0,M2} { ! relation_dom( skol3 ) ==>
% 0.83/1.18 relation_rng( function_inverse( skol3 ) ), ! relation_dom(
% 0.83/1.18 function_inverse( skol3 ) ) ==> relation_rng( skol3 ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 resolution: (230) {G1,W6,D4,L1,V0,M1} { ! relation_rng( skol3 ) ==>
% 0.83/1.18 relation_dom( function_inverse( skol3 ) ) }.
% 0.83/1.18 parent0[1]: (228) {G0,W12,D4,L2,V0,M2} { ! relation_rng( skol3 ) ==>
% 0.83/1.18 relation_dom( function_inverse( skol3 ) ), ! relation_dom( skol3 ) ==>
% 0.83/1.18 relation_rng( function_inverse( skol3 ) ) }.
% 0.83/1.18 parent1[0]: (225) {G3,W6,D4,L1,V0,M1} { relation_dom( skol3 ) ==>
% 0.83/1.18 relation_rng( function_inverse( skol3 ) ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 end
% 0.83/1.18 substitution1:
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 paramod: (231) {G2,W5,D3,L1,V0,M1} { ! relation_rng( skol3 ) ==>
% 0.83/1.18 relation_rng( skol3 ) }.
% 0.83/1.18 parent0[0]: (141) {G3,W6,D4,L1,V0,M1} P(138,11);r(13) { relation_dom(
% 0.83/1.18 function_inverse( skol3 ) ) ==> relation_rng( skol3 ) }.
% 0.83/1.18 parent1[0; 4]: (230) {G1,W6,D4,L1,V0,M1} { ! relation_rng( skol3 ) ==>
% 0.83/1.18 relation_dom( function_inverse( skol3 ) ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 end
% 0.83/1.18 substitution1:
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 eqrefl: (232) {G0,W0,D0,L0,V0,M0} { }.
% 0.83/1.18 parent0[0]: (231) {G2,W5,D3,L1,V0,M1} { ! relation_rng( skol3 ) ==>
% 0.83/1.18 relation_rng( skol3 ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 subsumption: (159) {G4,W0,D0,L0,V0,M0} R(140,16);d(141);q { }.
% 0.83/1.18 parent0: (232) {G0,W0,D0,L0,V0,M0} { }.
% 0.83/1.18 substitution0:
% 0.83/1.18 end
% 0.83/1.18 permutation0:
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 Proof check complete!
% 0.83/1.18
% 0.83/1.18 Memory use:
% 0.83/1.18
% 0.83/1.18 space for terms: 1621
% 0.83/1.18 space for clauses: 9861
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18 clauses generated: 328
% 0.83/1.18 clauses kept: 160
% 0.83/1.18 clauses selected: 52
% 0.83/1.18 clauses deleted: 5
% 0.83/1.18 clauses inuse deleted: 0
% 0.83/1.18
% 0.83/1.18 subsentry: 307
% 0.83/1.18 literals s-matched: 171
% 0.83/1.18 literals matched: 171
% 0.83/1.18 full subsumption: 0
% 0.83/1.18
% 0.83/1.18 checksum: 754419047
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18 Bliksem ended
%------------------------------------------------------------------------------