%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : REL049+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 : Mon Jul 18 19:01:30 EDT 2022
% Result : Theorem 0.70s 1.08s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL049+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n004.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 : Fri Jul 8 15:34:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.70/1.08 *** allocated 10000 integers for termspace/termends
% 0.70/1.08 *** allocated 10000 integers for clauses
% 0.70/1.08 *** allocated 10000 integers for justifications
% 0.70/1.08 Bliksem 1.12
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Automatic Strategy Selection
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Clauses:
% 0.70/1.08
% 0.70/1.08 { join( X, Y ) = join( Y, X ) }.
% 0.70/1.08 { join( X, join( Y, Z ) ) = join( join( X, Y ), Z ) }.
% 0.70/1.08 { X = join( complement( join( complement( X ), complement( Y ) ) ),
% 0.70/1.08 complement( join( complement( X ), Y ) ) ) }.
% 0.70/1.08 { meet( X, Y ) = complement( join( complement( X ), complement( Y ) ) ) }.
% 0.70/1.08 { composition( X, composition( Y, Z ) ) = composition( composition( X, Y )
% 0.70/1.08 , Z ) }.
% 0.70/1.08 { composition( X, one ) = X }.
% 0.70/1.08 { composition( join( X, Y ), Z ) = join( composition( X, Z ), composition(
% 0.70/1.08 Y, Z ) ) }.
% 0.70/1.08 { converse( converse( X ) ) = X }.
% 0.70/1.08 { converse( join( X, Y ) ) = join( converse( X ), converse( Y ) ) }.
% 0.70/1.08 { converse( composition( X, Y ) ) = composition( converse( Y ), converse( X
% 0.70/1.08 ) ) }.
% 0.70/1.08 { join( composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.70/1.08 complement( Y ) ) = complement( Y ) }.
% 0.70/1.08 { top = join( X, complement( X ) ) }.
% 0.70/1.08 { zero = meet( X, complement( X ) ) }.
% 0.70/1.08 { join( skol1, skol2 ) = skol2 }.
% 0.70/1.08 { join( skol3, skol2 ) = skol2 }.
% 0.70/1.08 { ! join( join( skol1, skol3 ), skol2 ) = skol2 }.
% 0.70/1.08
% 0.70/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.70/1.08 This is a pure equality problem
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Options Used:
% 0.70/1.08
% 0.70/1.08 useres = 1
% 0.70/1.08 useparamod = 1
% 0.70/1.08 useeqrefl = 1
% 0.70/1.08 useeqfact = 1
% 0.70/1.08 usefactor = 1
% 0.70/1.08 usesimpsplitting = 0
% 0.70/1.08 usesimpdemod = 5
% 0.70/1.08 usesimpres = 3
% 0.70/1.08
% 0.70/1.08 resimpinuse = 1000
% 0.70/1.08 resimpclauses = 20000
% 0.70/1.08 substype = eqrewr
% 0.70/1.08 backwardsubs = 1
% 0.70/1.08 selectoldest = 5
% 0.70/1.08
% 0.70/1.08 litorderings [0] = split
% 0.70/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.08
% 0.70/1.08 termordering = kbo
% 0.70/1.08
% 0.70/1.08 litapriori = 0
% 0.70/1.08 termapriori = 1
% 0.70/1.08 litaposteriori = 0
% 0.70/1.08 termaposteriori = 0
% 0.70/1.08 demodaposteriori = 0
% 0.70/1.08 ordereqreflfact = 0
% 0.70/1.08
% 0.70/1.08 litselect = negord
% 0.70/1.08
% 0.70/1.08 maxweight = 15
% 0.70/1.08 maxdepth = 30000
% 0.70/1.08 maxlength = 115
% 0.70/1.08 maxnrvars = 195
% 0.70/1.08 excuselevel = 1
% 0.70/1.08 increasemaxweight = 1
% 0.70/1.08
% 0.70/1.08 maxselected = 10000000
% 0.70/1.08 maxnrclauses = 10000000
% 0.70/1.08
% 0.70/1.08 showgenerated = 0
% 0.70/1.08 showkept = 0
% 0.70/1.08 showselected = 0
% 0.70/1.08 showdeleted = 0
% 0.70/1.08 showresimp = 1
% 0.70/1.08 showstatus = 2000
% 0.70/1.08
% 0.70/1.08 prologoutput = 0
% 0.70/1.08 nrgoals = 5000000
% 0.70/1.08 totalproof = 1
% 0.70/1.08
% 0.70/1.08 Symbols occurring in the translation:
% 0.70/1.08
% 0.70/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.08 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.70/1.08 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.70/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.08 join [37, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.70/1.08 complement [39, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.70/1.08 meet [40, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.70/1.08 composition [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.70/1.08 one [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.70/1.08 converse [43, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.70/1.08 top [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.70/1.08 zero [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.70/1.08 skol1 [46, 0] (w:1, o:10, a:1, s:1, b:1),
% 0.70/1.08 skol2 [47, 0] (w:1, o:11, a:1, s:1, b:1),
% 0.70/1.08 skol3 [48, 0] (w:1, o:12, a:1, s:1, b:1).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Starting Search:
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Bliksems!, er is een bewijs:
% 0.70/1.08 % SZS status Theorem
% 0.70/1.08 % SZS output start Refutation
% 0.70/1.08
% 0.70/1.08 (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join( join( X, Y )
% 0.70/1.08 , Z ) }.
% 0.70/1.08 (13) {G0,W5,D3,L1,V0,M1} I { join( skol1, skol2 ) ==> skol2 }.
% 0.70/1.08 (14) {G0,W5,D3,L1,V0,M1} I { join( skol3, skol2 ) ==> skol2 }.
% 0.70/1.08 (15) {G0,W7,D4,L1,V0,M1} I { ! join( join( skol1, skol3 ), skol2 ) ==>
% 0.70/1.08 skol2 }.
% 0.70/1.08 (27) {G1,W9,D4,L1,V1,M1} P(14,1) { join( join( X, skol3 ), skol2 ) ==> join
% 0.70/1.08 ( X, skol2 ) }.
% 0.70/1.08 (28) {G2,W0,D0,L0,V0,M0} S(15);d(27);d(13);q { }.
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 % SZS output end Refutation
% 0.70/1.08 found a proof!
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Unprocessed initial clauses:
% 0.70/1.08
% 0.70/1.08 (30) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.70/1.08 (31) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join( join( X, Y ),
% 0.70/1.08 Z ) }.
% 0.70/1.08 (32) {G0,W14,D6,L1,V2,M1} { X = join( complement( join( complement( X ),
% 0.70/1.08 complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) }.
% 0.70/1.08 (33) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join( complement( X
% 0.70/1.08 ), complement( Y ) ) ) }.
% 0.70/1.08 (34) {G0,W11,D4,L1,V3,M1} { composition( X, composition( Y, Z ) ) =
% 0.70/1.08 composition( composition( X, Y ), Z ) }.
% 0.70/1.08 (35) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.70/1.08 (36) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z ) = join(
% 0.70/1.08 composition( X, Z ), composition( Y, Z ) ) }.
% 0.70/1.08 (37) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.70/1.08 (38) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join( converse( X )
% 0.70/1.08 , converse( Y ) ) }.
% 0.70/1.08 (39) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) ) = composition
% 0.70/1.08 ( converse( Y ), converse( X ) ) }.
% 0.70/1.08 (40) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ), complement(
% 0.70/1.08 composition( X, Y ) ) ), complement( Y ) ) = complement( Y ) }.
% 0.70/1.08 (41) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) ) }.
% 0.70/1.08 (42) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) ) }.
% 0.70/1.08 (43) {G0,W5,D3,L1,V0,M1} { join( skol1, skol2 ) = skol2 }.
% 0.70/1.08 (44) {G0,W5,D3,L1,V0,M1} { join( skol3, skol2 ) = skol2 }.
% 0.70/1.08 (45) {G0,W7,D4,L1,V0,M1} { ! join( join( skol1, skol3 ), skol2 ) = skol2
% 0.70/1.08 }.
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Total Proof:
% 0.70/1.08
% 0.70/1.08 subsumption: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join
% 0.70/1.08 ( join( X, Y ), Z ) }.
% 0.70/1.08 parent0: (31) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join( join
% 0.70/1.08 ( X, Y ), Z ) }.
% 0.70/1.08 substitution0:
% 0.70/1.08 X := X
% 0.70/1.08 Y := Y
% 0.70/1.08 Z := Z
% 0.70/1.08 end
% 0.70/1.08 permutation0:
% 0.70/1.08 0 ==> 0
% 0.70/1.08 end
% 0.70/1.08
% 0.70/1.08 subsumption: (13) {G0,W5,D3,L1,V0,M1} I { join( skol1, skol2 ) ==> skol2
% 0.70/1.08 }.
% 0.70/1.08 parent0: (43) {G0,W5,D3,L1,V0,M1} { join( skol1, skol2 ) = skol2 }.
% 0.70/1.08 substitution0:
% 0.70/1.08 end
% 0.70/1.08 permutation0:
% 0.70/1.08 0 ==> 0
% 0.70/1.08 end
% 0.70/1.08
% 0.70/1.08 subsumption: (14) {G0,W5,D3,L1,V0,M1} I { join( skol3, skol2 ) ==> skol2
% 0.70/1.08 }.
% 0.70/1.08 parent0: (44) {G0,W5,D3,L1,V0,M1} { join( skol3, skol2 ) = skol2 }.
% 0.70/1.08 substitution0:
% 0.70/1.08 end
% 0.70/1.08 permutation0:
% 0.70/1.08 0 ==> 0
% 0.70/1.08 end
% 0.70/1.08
% 0.70/1.08 subsumption: (15) {G0,W7,D4,L1,V0,M1} I { ! join( join( skol1, skol3 ),
% 0.70/1.08 skol2 ) ==> skol2 }.
% 0.70/1.08 parent0: (45) {G0,W7,D4,L1,V0,M1} { ! join( join( skol1, skol3 ), skol2 )
% 0.70/1.08 = skol2 }.
% 0.70/1.08 substitution0:
% 0.70/1.08 end
% 0.70/1.08 permutation0:
% 0.70/1.08 0 ==> 0
% 0.70/1.08 end
% 0.70/1.08
% 0.70/1.08 eqswap: (90) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X,
% 0.70/1.08 join( Y, Z ) ) }.
% 0.70/1.08 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.70/1.08 join( X, Y ), Z ) }.
% 0.70/1.08 substitution0:
% 0.70/1.08 X := X
% 0.70/1.08 Y := Y
% 0.70/1.08 Z := Z
% 0.70/1.08 end
% 0.70/1.08
% 0.70/1.08 paramod: (92) {G1,W9,D4,L1,V1,M1} { join( join( X, skol3 ), skol2 ) ==>
% 0.70/1.08 join( X, skol2 ) }.
% 0.70/1.08 parent0[0]: (14) {G0,W5,D3,L1,V0,M1} I { join( skol3, skol2 ) ==> skol2 }.
% 0.70/1.08 parent1[0; 8]: (90) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.70/1.08 join( X, join( Y, Z ) ) }.
% 0.70/1.08 substitution0:
% 0.70/1.08 end
% 0.70/1.08 substitution1:
% 0.70/1.08 X := X
% 0.70/1.08 Y := skol3
% 0.70/1.08 Z := skol2
% 0.70/1.08 end
% 0.70/1.08
% 0.70/1.08 subsumption: (27) {G1,W9,D4,L1,V1,M1} P(14,1) { join( join( X, skol3 ),
% 0.70/1.08 skol2 ) ==> join( X, skol2 ) }.
% 0.70/1.08 parent0: (92) {G1,W9,D4,L1,V1,M1} { join( join( X, skol3 ), skol2 ) ==>
% 0.70/1.08 join( X, skol2 ) }.
% 0.70/1.08 substitution0:
% 0.70/1.08 X := X
% 0.70/1.08 end
% 0.70/1.08 permutation0:
% 0.70/1.08 0 ==> 0
% 0.70/1.08 end
% 0.70/1.08
% 0.70/1.08 paramod: (98) {G1,W5,D3,L1,V0,M1} { ! join( skol1, skol2 ) ==> skol2 }.
% 0.70/1.08 parent0[0]: (27) {G1,W9,D4,L1,V1,M1} P(14,1) { join( join( X, skol3 ),
% 0.70/1.08 skol2 ) ==> join( X, skol2 ) }.
% 0.70/1.08 parent1[0; 2]: (15) {G0,W7,D4,L1,V0,M1} I { ! join( join( skol1, skol3 ),
% 0.70/1.08 skol2 ) ==> skol2 }.
% 0.70/1.08 substitution0:
% 0.70/1.08 X := skol1
% 0.70/1.08 end
% 0.70/1.08 substitution1:
% 0.70/1.08 end
% 0.70/1.08
% 0.70/1.08 paramod: (99) {G1,W3,D2,L1,V0,M1} { ! skol2 ==> skol2 }.
% 0.70/1.08 parent0[0]: (13) {G0,W5,D3,L1,V0,M1} I { join( skol1, skol2 ) ==> skol2 }.
% 0.70/1.08 parent1[0; 2]: (98) {G1,W5,D3,L1,V0,M1} { ! join( skol1, skol2 ) ==> skol2
% 0.70/1.08 }.
% 0.70/1.08 substitution0:
% 0.70/1.08 end
% 0.70/1.08 substitution1:
% 0.70/1.08 end
% 0.70/1.08
% 0.70/1.08 eqrefl: (100) {G0,W0,D0,L0,V0,M0} { }.
% 0.70/1.08 parent0[0]: (99) {G1,W3,D2,L1,V0,M1} { ! skol2 ==> skol2 }.
% 0.70/1.08 substitution0:
% 0.70/1.08 end
% 0.70/1.08
% 0.70/1.08 subsumption: (28) {G2,W0,D0,L0,V0,M0} S(15);d(27);d(13);q { }.
% 0.70/1.08 parent0: (100) {G0,W0,D0,L0,V0,M0} { }.
% 0.70/1.08 substitution0:
% 0.70/1.08 end
% 0.70/1.08 permutation0:
% 0.70/1.08 end
% 0.70/1.08
% 0.70/1.08 Proof check complete!
% 0.70/1.08
% 0.70/1.08 Memory use:
% 0.70/1.08
% 0.70/1.08 space for terms: 612
% 0.70/1.08 space for clauses: 2902
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 clauses generated: 87
% 0.70/1.08 clauses kept: 29
% 0.70/1.08 clauses selected: 11
% 0.70/1.08 clauses deleted: 1
% 0.70/1.08 clauses inuse deleted: 0
% 0.70/1.08
% 0.70/1.08 subsentry: 296
% 0.70/1.08 literals s-matched: 148
% 0.70/1.08 literals matched: 148
% 0.70/1.08 full subsumption: 0
% 0.70/1.08
% 0.70/1.08 checksum: -218139949
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Bliksem ended
%------------------------------------------------------------------------------