TSTP Solution File: GRP036-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP036-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 : Sat Jul 16 07:34:29 EDT 2022
% Result : Unsatisfiable 0.43s 1.08s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP036-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Mon Jun 13 18:07:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.08 *** allocated 10000 integers for termspace/termends
% 0.43/1.08 *** allocated 10000 integers for clauses
% 0.43/1.08 *** allocated 10000 integers for justifications
% 0.43/1.08 Bliksem 1.12
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Automatic Strategy Selection
% 0.43/1.08
% 0.43/1.08 Clauses:
% 0.43/1.08 [
% 0.43/1.08 [ product( identity, X, X ) ],
% 0.43/1.08 [ product( X, identity, X ) ],
% 0.43/1.08 [ product( inverse( X ), X, identity ) ],
% 0.43/1.08 [ product( X, inverse( X ), identity ) ],
% 0.43/1.08 [ product( X, Y, multiply( X, Y ) ) ],
% 0.43/1.08 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.43/1.08 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.43/1.08 ) ), product( X, U, W ) ],
% 0.43/1.08 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.43/1.08 ) ), product( Z, T, W ) ],
% 0.43/1.08 [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~( product(
% 0.43/1.08 X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ],
% 0.43/1.08 [ ~( 'subgroup_member'( X ) ), product( 'another_identity', X, X ) ]
% 0.43/1.08 ,
% 0.43/1.08 [ ~( 'subgroup_member'( X ) ), product( X, 'another_identity', X ) ]
% 0.43/1.08 ,
% 0.43/1.08 [ ~( 'subgroup_member'( X ) ), product( X, 'another_inverse'( X ),
% 0.43/1.08 'another_identity' ) ],
% 0.43/1.08 [ ~( 'subgroup_member'( X ) ), product( 'another_inverse'( X ), X,
% 0.43/1.08 'another_identity' ) ],
% 0.43/1.08 [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( 'another_inverse'( X )
% 0.43/1.08 ) ],
% 0.43/1.08 [ 'subgroup_member'( 'another_identity' ) ],
% 0.43/1.08 [ ~( =( identity, 'another_identity' ) ) ]
% 0.43/1.08 ] .
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 percentage equality = 0.062500, percentage horn = 1.000000
% 0.43/1.08 This is a problem with some equality
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Options Used:
% 0.43/1.08
% 0.43/1.08 useres = 1
% 0.43/1.08 useparamod = 1
% 0.43/1.08 useeqrefl = 1
% 0.43/1.08 useeqfact = 1
% 0.43/1.08 usefactor = 1
% 0.43/1.08 usesimpsplitting = 0
% 0.43/1.08 usesimpdemod = 5
% 0.43/1.08 usesimpres = 3
% 0.43/1.08
% 0.43/1.08 resimpinuse = 1000
% 0.43/1.08 resimpclauses = 20000
% 0.43/1.08 substype = eqrewr
% 0.43/1.08 backwardsubs = 1
% 0.43/1.08 selectoldest = 5
% 0.43/1.08
% 0.43/1.08 litorderings [0] = split
% 0.43/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.08
% 0.43/1.08 termordering = kbo
% 0.43/1.08
% 0.43/1.08 litapriori = 0
% 0.43/1.08 termapriori = 1
% 0.43/1.08 litaposteriori = 0
% 0.43/1.08 termaposteriori = 0
% 0.43/1.08 demodaposteriori = 0
% 0.43/1.08 ordereqreflfact = 0
% 0.43/1.08
% 0.43/1.08 litselect = negord
% 0.43/1.08
% 0.43/1.08 maxweight = 15
% 0.43/1.08 maxdepth = 30000
% 0.43/1.08 maxlength = 115
% 0.43/1.08 maxnrvars = 195
% 0.43/1.08 excuselevel = 1
% 0.43/1.08 increasemaxweight = 1
% 0.43/1.08
% 0.43/1.08 maxselected = 10000000
% 0.43/1.08 maxnrclauses = 10000000
% 0.43/1.08
% 0.43/1.08 showgenerated = 0
% 0.43/1.08 showkept = 0
% 0.43/1.08 showselected = 0
% 0.43/1.08 showdeleted = 0
% 0.43/1.08 showresimp = 1
% 0.43/1.08 showstatus = 2000
% 0.43/1.08
% 0.43/1.08 prologoutput = 1
% 0.43/1.08 nrgoals = 5000000
% 0.43/1.08 totalproof = 1
% 0.43/1.08
% 0.43/1.08 Symbols occurring in the translation:
% 0.43/1.08
% 0.43/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.08 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 0.43/1.08 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.43/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.08 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.43/1.08 product [41, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.43/1.08 inverse [42, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.43/1.08 multiply [44, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.43/1.08 'subgroup_member' [50, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.43/1.08 'another_identity' [53, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.43/1.08 'another_inverse' [54, 1] (w:1, o:27, a:1, s:1, b:0).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Starting Search:
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Bliksems!, er is een bewijs:
% 0.43/1.08 % SZS status Unsatisfiable
% 0.43/1.08 % SZS output start Refutation
% 0.43/1.08
% 0.43/1.08 clause( 0, [ product( identity, X, X ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.43/1.08 )
% 0.43/1.08 .
% 0.43/1.08 clause( 8, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~(
% 0.43/1.08 product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 10, [ ~( 'subgroup_member'( X ) ), product( X, 'another_identity',
% 0.43/1.08 X ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 13, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'(
% 0.43/1.08 'another_inverse'( X ) ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 14, [ 'subgroup_member'( 'another_identity' ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 15, [ ~( =( 'another_identity', identity ) ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 24, [ 'subgroup_member'( 'another_inverse'( 'another_identity' ) )
% 0.43/1.08 ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 25, [ 'subgroup_member'( 'another_inverse'( 'another_inverse'(
% 0.43/1.08 'another_identity' ) ) ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 26, [ 'subgroup_member'( 'another_inverse'( 'another_inverse'(
% 0.43/1.08 'another_inverse'( 'another_identity' ) ) ) ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 27, [ 'subgroup_member'( 'another_inverse'( 'another_inverse'(
% 0.43/1.08 'another_inverse'( 'another_inverse'( 'another_identity' ) ) ) ) ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 44, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 157, [ ~( =( X, identity ) ), ~( product( identity,
% 0.43/1.08 'another_identity', X ) ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 162, [ ~( product( identity, 'another_identity', identity ) ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 212, [ ~( 'subgroup_member'( identity ) ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 327, [ ~( 'subgroup_member'( X ) ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 328, [] )
% 0.43/1.08 .
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 % SZS output end Refutation
% 0.43/1.08 found a proof!
% 0.43/1.08
% 0.43/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.08
% 0.43/1.08 initialclauses(
% 0.43/1.08 [ clause( 330, [ product( identity, X, X ) ] )
% 0.43/1.08 , clause( 331, [ product( X, identity, X ) ] )
% 0.43/1.08 , clause( 332, [ product( inverse( X ), X, identity ) ] )
% 0.43/1.08 , clause( 333, [ product( X, inverse( X ), identity ) ] )
% 0.43/1.08 , clause( 334, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.43/1.08 , clause( 335, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.43/1.08 ) ] )
% 0.43/1.08 , clause( 336, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.43/1.08 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.43/1.08 , clause( 337, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.43/1.08 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.43/1.08 , clause( 338, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.43/1.08 ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.43/1.08 , clause( 339, [ ~( 'subgroup_member'( X ) ), product( 'another_identity',
% 0.43/1.08 X, X ) ] )
% 0.43/1.08 , clause( 340, [ ~( 'subgroup_member'( X ) ), product( X,
% 0.43/1.08 'another_identity', X ) ] )
% 0.43/1.08 , clause( 341, [ ~( 'subgroup_member'( X ) ), product( X, 'another_inverse'(
% 0.43/1.08 X ), 'another_identity' ) ] )
% 0.43/1.08 , clause( 342, [ ~( 'subgroup_member'( X ) ), product( 'another_inverse'( X
% 0.43/1.08 ), X, 'another_identity' ) ] )
% 0.43/1.08 , clause( 343, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'(
% 0.43/1.08 'another_inverse'( X ) ) ] )
% 0.43/1.08 , clause( 344, [ 'subgroup_member'( 'another_identity' ) ] )
% 0.43/1.08 , clause( 345, [ ~( =( identity, 'another_identity' ) ) ] )
% 0.43/1.08 ] ).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 subsumption(
% 0.43/1.08 clause( 0, [ product( identity, X, X ) ] )
% 0.43/1.08 , clause( 330, [ product( identity, X, X ) ] )
% 0.43/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 subsumption(
% 0.43/1.08 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 0.43/1.08 , clause( 333, [ product( X, inverse( X ), identity ) ] )
% 0.43/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 subsumption(
% 0.43/1.08 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.43/1.08 )
% 0.43/1.08 , clause( 335, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.43/1.08 ) ] )
% 0.43/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 subsumption(
% 0.43/1.08 clause( 8, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~(
% 0.43/1.08 product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.43/1.08 , clause( 338, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.43/1.08 ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.43/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.43/1.08 ).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 subsumption(
% 0.43/1.08 clause( 10, [ ~( 'subgroup_member'( X ) ), product( X, 'another_identity',
% 0.43/1.08 X ) ] )
% 0.43/1.08 , clause( 340, [ ~( 'subgroup_member'( X ) ), product( X,
% 0.43/1.08 'another_identity', X ) ] )
% 0.43/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.08 1 )] ) ).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 subsumption(
% 0.43/1.08 clause( 13, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'(
% 0.43/1.08 'another_inverse'( X ) ) ] )
% 0.43/1.08 , clause( 343, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'(
% 0.43/1.08 'another_inverse'( X ) ) ] )
% 0.43/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.08 1 )] ) ).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 subsumption(
% 0.43/1.08 clause( 14, [ 'subgroup_member'( 'another_identity' ) ] )
% 0.43/1.08 , clause( 344, [ 'subgroup_member'( 'another_identity' ) ] )
% 0.43/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 eqswap(
% 0.43/1.08 clause( 397, [ ~( =( 'another_identity', identity ) ) ] )
% 0.43/1.08 , clause( 345, [ ~( =( identity, 'another_identity' ) ) ] )
% 0.43/1.08 , 0, substitution( 0, [] )).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 subsumption(
% 0.43/1.08 clause( 15, [ ~( =( 'another_identity', identity ) )Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------