TSTP Solution File: SYN071-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN071-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 : Thu Jul 21 02:47:25 EDT 2022
% Result : Unsatisfiable 0.43s 1.06s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN071-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n019.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 : Tue Jul 12 06:30:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.43/1.06 *** allocated 10000 integers for termspace/termends
% 0.43/1.06 *** allocated 10000 integers for clauses
% 0.43/1.06 *** allocated 10000 integers for justifications
% 0.43/1.06 Bliksem 1.12
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Automatic Strategy Selection
% 0.43/1.06
% 0.43/1.06 Clauses:
% 0.43/1.06 [
% 0.43/1.06 [ =( a, b ), =( c, d ) ],
% 0.43/1.06 [ =( a, c ), =( b, d ) ],
% 0.43/1.06 [ ~( =( a, d ) ) ],
% 0.43/1.06 [ ~( =( b, c ) ) ]
% 0.43/1.06 ] .
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 percentage equality = 1.000000, percentage horn = 0.500000
% 0.43/1.06 This is a pure equality problem
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Options Used:
% 0.43/1.06
% 0.43/1.06 useres = 1
% 0.43/1.06 useparamod = 1
% 0.43/1.06 useeqrefl = 1
% 0.43/1.06 useeqfact = 1
% 0.43/1.06 usefactor = 1
% 0.43/1.06 usesimpsplitting = 0
% 0.43/1.06 usesimpdemod = 5
% 0.43/1.06 usesimpres = 3
% 0.43/1.06
% 0.43/1.06 resimpinuse = 1000
% 0.43/1.06 resimpclauses = 20000
% 0.43/1.06 substype = eqrewr
% 0.43/1.06 backwardsubs = 1
% 0.43/1.06 selectoldest = 5
% 0.43/1.06
% 0.43/1.06 litorderings [0] = split
% 0.43/1.06 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.06
% 0.43/1.06 termordering = kbo
% 0.43/1.06
% 0.43/1.06 litapriori = 0
% 0.43/1.06 termapriori = 1
% 0.43/1.06 litaposteriori = 0
% 0.43/1.06 termaposteriori = 0
% 0.43/1.06 demodaposteriori = 0
% 0.43/1.06 ordereqreflfact = 0
% 0.43/1.06
% 0.43/1.06 litselect = negord
% 0.43/1.06
% 0.43/1.06 maxweight = 15
% 0.43/1.06 maxdepth = 30000
% 0.43/1.06 maxlength = 115
% 0.43/1.06 maxnrvars = 195
% 0.43/1.06 excuselevel = 1
% 0.43/1.06 increasemaxweight = 1
% 0.43/1.06
% 0.43/1.06 maxselected = 10000000
% 0.43/1.06 maxnrclauses = 10000000
% 0.43/1.06
% 0.43/1.06 showgenerated = 0
% 0.43/1.06 showkept = 0
% 0.43/1.06 showselected = 0
% 0.43/1.06 showdeleted = 0
% 0.43/1.06 showresimp = 1
% 0.43/1.06 showstatus = 2000
% 0.43/1.06
% 0.43/1.06 prologoutput = 1
% 0.43/1.06 nrgoals = 5000000
% 0.43/1.06 totalproof = 1
% 0.43/1.06
% 0.43/1.06 Symbols occurring in the translation:
% 0.43/1.06
% 0.43/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.06 . [1, 2] (w:1, o:18, a:1, s:1, b:0),
% 0.43/1.06 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.43/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.06 a [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.43/1.06 b [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.43/1.06 c [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.43/1.06 d [42, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Starting Search:
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Bliksems!, er is een bewijs:
% 0.43/1.06 % SZS status Unsatisfiable
% 0.43/1.06 % SZS output start Refutation
% 0.43/1.06
% 0.43/1.06 clause( 0, [ =( b, a ), =( d, c ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 1, [ =( c, a ), =( d, b ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 2, [ ~( =( d, a ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 3, [ ~( =( c, b ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 4, [ ~( =( b, a ) ), =( c, a ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 6, [ ~( =( b, a ) ), ~( =( b, a ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 7, [ ~( =( b, a ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 8, [ =( d, c ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 9, [ =( c, a ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 10, [] )
% 0.43/1.06 .
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 % SZS output end Refutation
% 0.43/1.06 found a proof!
% 0.43/1.06
% 0.43/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.06
% 0.43/1.06 initialclauses(
% 0.43/1.06 [ clause( 12, [ =( a, b ), =( c, d ) ] )
% 0.43/1.06 , clause( 13, [ =( a, c ), =( b, d ) ] )
% 0.43/1.06 , clause( 14, [ ~( =( a, d ) ) ] )
% 0.43/1.06 , clause( 15, [ ~( =( b, c ) ) ] )
% 0.43/1.06 ] ).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 eqswap(
% 0.43/1.06 clause( 17, [ =( d, c ), =( a, b ) ] )
% 0.43/1.06 , clause( 12, [ =( a, b ), =( c, d ) ] )
% 0.43/1.06 , 1, substitution( 0, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 eqswap(
% 0.43/1.06 clause( 18, [ =( b, a ), =( d, c ) ] )
% 0.43/1.06 , clause( 17, [ =( d, c ), =( a, b ) ] )
% 0.43/1.06 , 1, substitution( 0, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 subsumption(
% 0.43/1.06 clause( 0, [ =( b, a ), =( d, c ) ] )
% 0.43/1.06 , clause( 18, [ =( b, a ), =( d, c ) ] )
% 0.43/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.43/1.06 ).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 eqswap(
% 0.43/1.06 clause( 23, [ =( d, b ), =( a, c ) ] )
% 0.43/1.06 , clause( 13, [ =( a, c ), =( b, d ) ] )
% 0.43/1.06 , 1, substitution( 0, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 eqswap(
% 0.43/1.06 clause( 24, [ =( c, a ), =( d, b ) ] )
% 0.43/1.06 , clause( 23, [ =( d, b ), =( a, c ) ] )
% 0.43/1.06 , 1, substitution( 0, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 subsumption(
% 0.43/1.06 clause( 1, [ =( c, a ), =( d, b ) ] )
% 0.43/1.06 , clause( 24, [ =( c, a ), =( d, b ) ] )
% 0.43/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.43/1.06 ).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 eqswap(
% 0.43/1.06 clause( 31, [ ~( =( d, a ) ) ] )
% 0.43/1.06 , clause( 14, [ ~( =( a, d ) ) ] )
% 0.43/1.06 , 0, substitution( 0, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 subsumption(
% 0.43/1.06 clause( 2, [ ~( =( d, a ) ) ] )
% 0.43/1.06 , clause( 31, [ ~( =( d, a ) ) ] )
% 0.43/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 eqswap(
% 0.43/1.06 clause( 39, [ ~( =( c, b ) ) ] )
% 0.43/1.06 , clause( 15, [ ~( =( b, c ) ) ] )
% 0.43/1.06 , 0, substitution( 0, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 subsumption(
% 0.43/1.06 clause( 3, [ ~( =( c, b ) ) ] )
% 0.43/1.06 , clause( 39, [ ~( =( c, b ) ) ] )
% 0.43/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 eqswap(
% 0.43/1.06 clause( 40, [ =( a, c ), =( d, b ) ] )
% 0.43/1.06 , clause( 1, [ =( c, a ), =( d, b ) ] )
% 0.43/1.06 , 0, substitution( 0, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 eqswap(
% 0.43/1.06 clause( 43, [ ~( =( a, d ) ) ] )
% 0.43/1.06 , clause( 2, [ ~( =( d, a ) ) ] )
% 0.43/1.06 , 0, substitution( 0, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 paramod(
% 0.43/1.06 clause( 44, [ ~( =( a, b ) ), =( a, c ) ] )
% 0.43/1.06 , clause( 40, [ =( a, c ), =( d, b ) ] )
% 0.43/1.06 , 1, clause( 43, [ ~( =( a, d ) ) ] )
% 0.43/1.06 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 eqswap(
% 0.43/1.06 clause( 46, [ =( c, a ), ~( =( a, b ) ) ] )
% 0.43/1.06 , clause( 44, [ ~( =( a, b ) ), =( a, c ) ] )
% 0.43/1.06 , 1, substitution( 0, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 eqswap(
% 0.43/1.06 clause( 47, [ ~( =( b, a ) ), =( c, a ) ] )
% 0.43/1.06 , clause( 46, [ =( c, a ), ~( =( a, b ) ) ] )
% 0.43/1.06 , 1, substitution( 0, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 subsumption(
% 0.43/1.06 clause( 4, [ ~( =( b, a ) ), =( c, a ) ] )
% 0.43/1.06 , clause( 47, [ ~( =( b, a ) ), =( c, a ) ] )
% 0.43/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.43/1.06 ).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 eqswap(
% 0.43/1.06 clause( 48, [ ~( =( a, b ) ), =( c, a ) ] )
% 0.43/1.06 , clause( 4, [ ~( =( b, a ) ), =( c, a ) ] )
% 0.43/1.06 , 0, substitution( 0, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 eqswap(
% 0.43/1.06 clause( 51, [ ~( =( b, c ) ) ] )
% 0.43/1.06 , clause( 3, [ ~( =( c, b ) ) ] )
% 0.43/1.06 , 0, substitution( 0, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 paramod(
% 0.43/1.06 clause( 52, [ ~( =( b, a ) ), ~( =( a, b ) ) ] )
% 0.43/1.06 , clause( 48, [ ~( =( a, b ) ), =( c, a ) ] )
% 0.43/1.06 , 1, clause( 51, [ ~( =( b, c ) ) ] )
% 0.43/1.06 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 eqswap(
% 0.43/1.06 clause( 54, [ ~( =( b, a ) ), ~( =( b, a ) ) ] )
% 0.43/1.06 , clause( 52, [ ~( =( b, a ) ), ~( =( a, b ) ) ] )
% 0.43/1.06 , 1, substitution( 0, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 subsumption(
% 0.43/1.06 clause( 6, [ ~( =( b, a ) ), ~( =( b, a ) ) ] )
% 0.43/1.06 , clause( 54, [ ~( =( b, a ) ), ~( =( b, a ) ) ] )
% 0.43/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 0 )] )
% 0.43/1.06 ).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 factor(
% 0.43/1.06 clause( 57, [ ~( =( b, a ) ) ] )
% 0.43/1.06 , clause( 6, [ ~( =( b, a ) ), ~( =( b, a ) ) ] )
% 0.43/1.06 , 0, 1, substitution( 0, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 subsumption(
% 0.43/1.06 clause( 7, [ ~( =( b, a ) ) ] )
% 0.43/1.06 , clause( 57, [ ~( =( b, a ) ) ] )
% 0.43/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 resolution(
% 0.43/1.06 clause( 62, [ =( d, c ) ] )
% 0.43/1.06 , clause( 7, [ ~( =( b, a ) ) ] )
% 0.43/1.06 , 0, clause( 0, [ =( b, a ), =( d, c ) ] )
% 0.43/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 subsumption(
% 0.43/1.06 clause( 8, [ =( d, c ) ] )
% 0.43/1.06 , clause( 62, [ =( d, c ) ] )
% 0.43/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 eqswap(
% 0.43/1.06 clause( 64, [ =( c, d ) ] )
% 0.43/1.06 , clause( 8, [ =( d, c ) ] )
% 0.43/1.06 , 0, substitution( 0, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 eqswap(
% 0.43/1.06 clause( 65, [ =( a, c ), =( d, b ) ] )
% 0.43/1.06 , clause( 1, [ =( c, a ), =( d, b ) ] )
% 0.43/1.06 , 0, substitution( 0, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 paramod(
% 0.43/1.06 clause( 69, [ =( c, b ), =( a, c ) ] )
% 0.43/1.06 , clause( 65, [ =( a, c ), =( d, b ) ] )
% 0.43/1.06 , 1, clause( 64, [ =( c, d ) ] )
% 0.43/1.06 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 resolution(
% 0.43/1.06 clause( 70, [ =( a, c ) ] )
% 0.43/1.06 , clause( 3, [ ~( =( c, b ) ) ] )
% 0.43/1.06 , 0, clause( 69, [ =( c, b ), =( a, c ) ] )
% 0.43/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 eqswap(
% 0.43/1.06 clause( 71, [ =( c, a ) ] )
% 0.43/1.06 , clause( 70, [ =( a, c ) ] )
% 0.43/1.06 , 0, substitution( 0, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 subsumption(
% 0.43/1.06 clause( 9, [ =( c, a ) ] )
% 0.43/1.06 , clause( 71, [ =( c, a ) ] )
% 0.43/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 eqswap(
% 0.43/1.06 clause( 73, [ ~( =( a, d ) ) ] )
% 0.43/1.06 , clause( 2, [ ~( =( d, a ) ) ] )
% 0.43/1.06 , 0, substitution( 0, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 paramod(
% 0.43/1.06 clause( 75, [ ~( =( a, c ) ) ] )
% 0.43/1.06 , clause( 8, [ =( d, c ) ] )
% 0.43/1.06 , 0, clause( 73, [ ~( =( a, d ) ) ] )
% 0.43/1.06 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 paramod(
% 0.43/1.06 clause( 76, [ ~( =( a, a ) ) ] )
% 0.43/1.06 , clause( 9, [ =( c, a ) ] )
% 0.43/1.06 , 0, clause( 75, [ ~( =( a, c ) ) ] )
% 0.43/1.06 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 eqrefl(
% 0.43/1.06 clause( 77, [] )
% 0.43/1.06 , clause( 76, [ ~( =( a, a ) ) ] )
% 0.43/1.06 , 0, substitution( 0, [] )).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 subsumption(
% 0.43/1.06 clause( 10, [] )
% 0.43/1.06 , clause( 77, [] )
% 0.43/1.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 end.
% 0.43/1.06
% 0.43/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.06
% 0.43/1.06 Memory use:
% 0.43/1.06
% 0.43/1.06 space for terms: 119
% 0.43/1.06 space for clauses: 555
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 clauses generated: 22
% 0.43/1.06 clauses kept: 11
% 0.43/1.06 clauses selected: 6
% 0.43/1.06 clauses deleted: 1
% 0.43/1.06 clauses inuse deleted: 0
% 0.43/1.06
% 0.43/1.06 subsentry: 423
% 0.43/1.06 literals s-matched: 143
% 0.43/1.06 literals matched: 143
% 0.43/1.06 full subsumption: 0
% 0.43/1.06
% 0.43/1.06 checksum: 1009619
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Bliksem ended
%------------------------------------------------------------------------------