TSTP Solution File: GRP282-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP282-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 07:36:22 EDT 2022
% Result : Unsatisfiable 1.31s 1.72s
% Output : Refutation 1.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP282-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n020.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 : Tue Jun 14 01:42:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.31/1.72 *** allocated 10000 integers for termspace/termends
% 1.31/1.72 *** allocated 10000 integers for clauses
% 1.31/1.72 *** allocated 10000 integers for justifications
% 1.31/1.72 Bliksem 1.12
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 Automatic Strategy Selection
% 1.31/1.72
% 1.31/1.72 Clauses:
% 1.31/1.72 [
% 1.31/1.72 [ =( multiply( identity, X ), X ) ],
% 1.31/1.72 [ =( multiply( inverse( X ), X ), identity ) ],
% 1.31/1.72 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 1.31/1.72 ],
% 1.31/1.72 [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( multiply( 'sk_c8',
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( multiply( 'sk_c8',
% 1.31/1.72 'sk_c7' ), 'sk_c9' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( inverse( 'sk_c9' ),
% 1.31/1.72 'sk_c7' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( inverse( 'sk_c4' ),
% 1.31/1.72 'sk_c9' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( multiply( 'sk_c4',
% 1.31/1.72 'sk_c7' ), 'sk_c9' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( multiply( 'sk_c5',
% 1.31/1.72 'sk_c6' ), 'sk_c7' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( inverse( 'sk_c5' ),
% 1.31/1.72 'sk_c6' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( multiply( 'sk_c6',
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( multiply( 'sk_c8',
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( multiply( 'sk_c8',
% 1.31/1.72 'sk_c7' ), 'sk_c9' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( inverse( 'sk_c9' ),
% 1.31/1.72 'sk_c7' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( inverse( 'sk_c4' ),
% 1.31/1.72 'sk_c9' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( multiply( 'sk_c4',
% 1.31/1.72 'sk_c7' ), 'sk_c9' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( multiply( 'sk_c5',
% 1.31/1.72 'sk_c6' ), 'sk_c7' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( inverse( 'sk_c5' ),
% 1.31/1.72 'sk_c6' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( multiply( 'sk_c6',
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ],
% 1.31/1.72 [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( multiply( 'sk_c8', 'sk_c9' ),
% 1.31/1.72 'sk_c7' ) ],
% 1.31/1.72 [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( multiply( 'sk_c8', 'sk_c7' ),
% 1.31/1.72 'sk_c9' ) ],
% 1.31/1.72 [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( inverse( 'sk_c9' ), 'sk_c7' ) ]
% 1.31/1.72 ,
% 1.31/1.72 [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( inverse( 'sk_c4' ), 'sk_c9' ) ]
% 1.31/1.72 ,
% 1.31/1.72 [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( multiply( 'sk_c4', 'sk_c7' ),
% 1.31/1.72 'sk_c9' ) ],
% 1.31/1.72 [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( multiply( 'sk_c5', 'sk_c6' ),
% 1.31/1.72 'sk_c7' ) ],
% 1.31/1.72 [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( inverse( 'sk_c5' ), 'sk_c6' ) ]
% 1.31/1.72 ,
% 1.31/1.72 [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( multiply( 'sk_c6', 'sk_c9' ),
% 1.31/1.72 'sk_c7' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( multiply( 'sk_c8',
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( multiply( 'sk_c8',
% 1.31/1.72 'sk_c7' ), 'sk_c9' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( inverse( 'sk_c9' ),
% 1.31/1.72 'sk_c7' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( inverse( 'sk_c4' ),
% 1.31/1.72 'sk_c9' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( multiply( 'sk_c4',
% 1.31/1.72 'sk_c7' ), 'sk_c9' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( multiply( 'sk_c5',
% 1.31/1.72 'sk_c6' ), 'sk_c7' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( inverse( 'sk_c5' ),
% 1.31/1.72 'sk_c6' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( multiply( 'sk_c6',
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c2', 'sk_c9' ), 'sk_c3' ), =( multiply( 'sk_c8',
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c2', 'sk_c9' ), 'sk_c3' ), =( multiply( 'sk_c8',
% 1.31/1.72 'sk_c7' ), 'sk_c9' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c2', 'sk_c9' ), 'sk_c3' ), =( inverse( 'sk_c9' ),
% 1.31/1.72 'sk_c7' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c2', 'sk_c9' ), 'sk_c3' ), =( inverse( 'sk_c4' ),
% 1.31/1.72 'sk_c9' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c2', 'sk_c9' ), 'sk_c3' ), =( multiply( 'sk_c4',
% 1.31/1.72 'sk_c7' ), 'sk_c9' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c2', 'sk_c9' ), 'sk_c3' ), =( multiply( 'sk_c5',
% 1.31/1.72 'sk_c6' ), 'sk_c7' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c2', 'sk_c9' ), 'sk_c3' ), =( inverse( 'sk_c5' ),
% 1.31/1.72 'sk_c6' ) ],
% 1.31/1.72 [ =( multiply( 'sk_c2', 'sk_c9' ), 'sk_c3' ), =( multiply( 'sk_c6',
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ],
% 1.31/1.72 [ =( inverse( 'sk_c2' ), 'sk_c9' ), =( multiply( 'sk_c8', 'sk_c9' ),
% 1.31/1.72 'sk_c7' ) ],
% 1.31/1.72 [ =( inverse( 'sk_c2' ), 'sk_c9' ), =( multiply( 'sk_c8', 'sk_c7' ),
% 1.31/1.72 'sk_c9' ) ],
% 1.31/1.72 [ =( inverse( 'sk_c2' ), 'sk_c9' ), =( inverse( 'sk_c9' ), 'sk_c7' ) ]
% 1.31/1.72 ,
% 1.31/1.72 [ =( inverse( 'sk_c2' ), 'sk_c9' ), =( inverse( 'sk_c4' ), 'sk_c9' ) ]
% 1.31/1.72 ,
% 1.31/1.72 [ =( inverse( 'sk_c2' ), 'sk_c9' ), =( multiply( 'sk_c4', 'sk_c7' ),
% 1.31/1.72 'sk_c9' ) ],
% 1.31/1.72 [ =( inverse( 'sk_c2' ), 'sk_c9' ), =( multiply( 'sk_c5', 'sk_c6' ),
% 1.31/1.72 'sk_c7' ) ],
% 1.31/1.72 [ =( inverse( 'sk_c2' ), 'sk_c9' ), =( inverse( 'sk_c5' ), 'sk_c6' ) ]
% 1.31/1.72 ,
% 1.31/1.72 [ =( inverse( 'sk_c2' ), 'sk_c9' ), =( multiply( 'sk_c6', 'sk_c9' ),
% 1.31/1.72 'sk_c7' ) ],
% 1.31/1.72 [ ~( =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ) ), ~( =( multiply( X,
% 1.31/1.72 'sk_c9' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c9' ) ), ~( =( multiply(
% 1.31/1.72 'sk_c9', Y ), 'sk_c8' ) ), ~( =( multiply( Z, 'sk_c9' ), Y ) ), ~( =(
% 1.31/1.72 inverse( Z ), 'sk_c9' ) ), ~( =( multiply( 'sk_c8', 'sk_c9' ), 'sk_c7' )
% 1.31/1.72 ), ~( =( multiply( 'sk_c8', 'sk_c7' ), 'sk_c9' ) ), ~( =( inverse(
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c9' ) ), ~( =( multiply(
% 1.31/1.72 T, 'sk_c7' ), 'sk_c9' ) ), ~( =( multiply( U, W ), 'sk_c7' ) ), ~( =(
% 1.31/1.72 inverse( U ), W ) ), ~( =( multiply( W, 'sk_c9' ), 'sk_c7' ) ) ]
% 1.31/1.72 ] .
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 percentage equality = 1.000000, percentage horn = 0.076923
% 1.31/1.72 This is a pure equality problem
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 Options Used:
% 1.31/1.72
% 1.31/1.72 useres = 1
% 1.31/1.72 useparamod = 1
% 1.31/1.72 useeqrefl = 1
% 1.31/1.72 useeqfact = 1
% 1.31/1.72 usefactor = 1
% 1.31/1.72 usesimpsplitting = 0
% 1.31/1.72 usesimpdemod = 5
% 1.31/1.72 usesimpres = 3
% 1.31/1.72
% 1.31/1.72 resimpinuse = 1000
% 1.31/1.72 resimpclauses = 20000
% 1.31/1.72 substype = eqrewr
% 1.31/1.72 backwardsubs = 1
% 1.31/1.72 selectoldest = 5
% 1.31/1.72
% 1.31/1.72 litorderings [0] = split
% 1.31/1.72 litorderings [1] = extend the termordering, first sorting on arguments
% 1.31/1.72
% 1.31/1.72 termordering = kbo
% 1.31/1.72
% 1.31/1.72 litapriori = 0
% 1.31/1.72 termapriori = 1
% 1.31/1.72 litaposteriori = 0
% 1.31/1.72 termaposteriori = 0
% 1.31/1.72 demodaposteriori = 0
% 1.31/1.72 ordereqreflfact = 0
% 1.31/1.72
% 1.31/1.72 litselect = negord
% 1.31/1.72
% 1.31/1.72 maxweight = 15
% 1.31/1.72 maxdepth = 30000
% 1.31/1.72 maxlength = 115
% 1.31/1.72 maxnrvars = 195
% 1.31/1.72 excuselevel = 1
% 1.31/1.72 increasemaxweight = 1
% 1.31/1.72
% 1.31/1.72 maxselected = 10000000
% 1.31/1.72 maxnrclauses = 10000000
% 1.31/1.72
% 1.31/1.72 showgenerated = 0
% 1.31/1.72 showkept = 0
% 1.31/1.72 showselected = 0
% 1.31/1.72 showdeleted = 0
% 1.31/1.72 showresimp = 1
% 1.31/1.72 showstatus = 2000
% 1.31/1.72
% 1.31/1.72 prologoutput = 1
% 1.31/1.72 nrgoals = 5000000
% 1.31/1.72 totalproof = 1
% 1.31/1.72
% 1.31/1.72 Symbols occurring in the translation:
% 1.31/1.72
% 1.31/1.72 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.31/1.72 . [1, 2] (w:1, o:34, a:1, s:1, b:0),
% 1.31/1.72 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 1.31/1.72 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.31/1.72 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.31/1.72 identity [39, 0] (w:1, o:18, a:1, s:1, b:0),
% 1.31/1.72 multiply [41, 2] (w:1, o:59, a:1, s:1, b:0),
% 1.31/1.72 inverse [42, 1] (w:1, o:33, a:1, s:1, b:0),
% 1.31/1.72 'sk_c9' [45, 0] (w:1, o:8, a:1, s:1, b:0),
% 1.31/1.72 'sk_c8' [46, 0] (w:1, o:7, a:1, s:1, b:0),
% 1.31/1.72 'sk_c7' [47, 0] (w:1, o:6, a:1, s:1, b:0),
% 1.31/1.72 'sk_c4' [48, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.31/1.72 'sk_c5' [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.31/1.72 'sk_c6' [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 1.31/1.72 'sk_c1' [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.31/1.72 'sk_c3' [52, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.31/1.72 'sk_c2' [53, 0] (w:1, o:9, a:1, s:1, b:0).
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 Starting Search:
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 Bliksems!, er is een bewijs:
% 1.31/1.72 % SZS status Unsatisfiable
% 1.31/1.72 % SZS output start Refutation
% 1.31/1.72
% 1.31/1.72 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 1.31/1.72 , Z ) ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 4, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( multiply(
% 1.31/1.72 'sk_c8', 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 5, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( inverse(
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 6, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( inverse(
% 1.31/1.72 'sk_c4' ), 'sk_c9' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 8, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( multiply(
% 1.31/1.72 'sk_c5', 'sk_c6' ), 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 9, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( inverse(
% 1.31/1.72 'sk_c5' ), 'sk_c6' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 12, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( multiply(
% 1.31/1.72 'sk_c8', 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 13, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( inverse(
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 14, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( inverse(
% 1.31/1.72 'sk_c4' ), 'sk_c9' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 16, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( multiply(
% 1.31/1.72 'sk_c5', 'sk_c6' ), 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 17, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( inverse(
% 1.31/1.72 'sk_c5' ), 'sk_c6' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 20, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( multiply( 'sk_c8',
% 1.31/1.72 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 21, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( inverse( 'sk_c9' ),
% 1.31/1.72 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 22, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( inverse( 'sk_c4' ),
% 1.31/1.72 'sk_c9' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 24, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( multiply( 'sk_c5',
% 1.31/1.72 'sk_c6' ), 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 25, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( inverse( 'sk_c5' ),
% 1.31/1.72 'sk_c6' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 28, [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( multiply(
% 1.31/1.72 'sk_c8', 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 29, [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( inverse(
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 30, [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( inverse(
% 1.31/1.72 'sk_c4' ), 'sk_c9' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 32, [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( multiply(
% 1.31/1.72 'sk_c5', 'sk_c6' ), 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 33, [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( inverse(
% 1.31/1.72 'sk_c5' ), 'sk_c6' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 36, [ =( multiply( 'sk_c2', 'sk_c9' ), 'sk_c3' ), =( multiply(
% 1.31/1.72 'sk_c8', 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 37, [ =( multiply( 'sk_c2', 'sk_c9' ), 'sk_c3' ), =( inverse(
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 38, [ =( multiply( 'sk_c2', 'sk_c9' ), 'sk_c3' ), =( inverse(
% 1.31/1.72 'sk_c4' ), 'sk_c9' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 40, [ =( multiply( 'sk_c2', 'sk_c9' ), 'sk_c3' ), =( multiply(
% 1.31/1.72 'sk_c5', 'sk_c6' ), 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 41, [ =( multiply( 'sk_c2', 'sk_c9' ), 'sk_c3' ), =( inverse(
% 1.31/1.72 'sk_c5' ), 'sk_c6' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 44, [ =( inverse( 'sk_c2' ), 'sk_c9' ), =( multiply( 'sk_c8',
% 1.31/1.72 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 45, [ =( inverse( 'sk_c2' ), 'sk_c9' ), =( inverse( 'sk_c9' ),
% 1.31/1.72 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 46, [ =( inverse( 'sk_c2' ), 'sk_c9' ), =( inverse( 'sk_c4' ),
% 1.31/1.72 'sk_c9' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 48, [ =( inverse( 'sk_c2' ), 'sk_c9' ), =( multiply( 'sk_c5',
% 1.31/1.72 'sk_c6' ), 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 49, [ =( inverse( 'sk_c2' ), 'sk_c9' ), =( inverse( 'sk_c5' ),
% 1.31/1.72 'sk_c6' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 51, [ ~( =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ) ), ~( =(
% 1.31/1.72 multiply( X, 'sk_c9' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c9' ) ), ~(
% 1.31/1.72 =( multiply( 'sk_c9', Y ), 'sk_c8' ) ), ~( =( multiply( Z, 'sk_c9' ), Y )
% 1.31/1.72 ), ~( =( inverse( Z ), 'sk_c9' ) ), ~( =( multiply( 'sk_c8', 'sk_c9' ),
% 1.31/1.72 'sk_c7' ) ), ~( =( multiply( 'sk_c8', 'sk_c7' ), 'sk_c9' ) ), ~( =(
% 1.31/1.72 inverse( 'sk_c9' ), 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c9' ) ), ~( =(
% 1.31/1.72 multiply( T, 'sk_c7' ), 'sk_c9' ) ), ~( =( multiply( U, W ), 'sk_c7' ) )
% 1.31/1.72 , ~( =( inverse( U ), W ) ), ~( =( multiply( W, 'sk_c9' ), 'sk_c7' ) ) ]
% 1.31/1.72 )
% 1.31/1.72 .
% 1.31/1.72 clause( 52, [ ~( =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ) ), ~( =(
% 1.31/1.72 multiply( 'sk_c9', 'sk_c9' ), 'sk_c8' ) ), ~( =( inverse( 'sk_c9' ),
% 1.31/1.72 'sk_c9' ) ), ~( =( multiply( X, 'sk_c9' ), 'sk_c9' ) ), ~( =( inverse( X
% 1.31/1.72 ), 'sk_c9' ) ), ~( =( multiply( 'sk_c8', 'sk_c9' ), 'sk_c7' ) ), ~( =(
% 1.31/1.72 multiply( 'sk_c8', 'sk_c7' ), 'sk_c9' ) ), ~( =( inverse( 'sk_c9' ),
% 1.31/1.72 'sk_c7' ) ), ~( =( inverse( Y ), 'sk_c9' ) ), ~( =( multiply( Y, 'sk_c7'
% 1.31/1.72 ), 'sk_c9' ) ), ~( =( multiply( Z, T ), 'sk_c7' ) ), ~( =( inverse( Z )
% 1.31/1.72 , T ) ), ~( =( multiply( T, 'sk_c9' ), 'sk_c7' ) ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 65, [ =( multiply( 'sk_c9', 'sk_c4' ), identity ), =( inverse(
% 1.31/1.72 'sk_c2' ), 'sk_c9' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 69, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 1.31/1.72 identity ) ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 70, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 1.31/1.72 ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 118, [ =( multiply( 'sk_c9', 'sk_c4' ), identity ), =( multiply(
% 1.31/1.72 'sk_c2', 'sk_c9' ), 'sk_c3' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 149, [ =( multiply( inverse( identity ), X ), X ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 150, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 1.31/1.72 multiply( Y, X ) ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 237, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 401, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 402, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 1.31/1.72 ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 407, [ =( multiply( inverse( 'sk_c9' ), identity ), 'sk_c1' ), =(
% 1.31/1.72 multiply( 'sk_c8', 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 410, [ =( multiply( inverse( 'sk_c9' ), identity ), 'sk_c1' ), =(
% 1.31/1.72 multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 416, [ =( multiply( 'sk_c2', 'sk_c9' ), 'sk_c3' ), =( multiply(
% 1.31/1.72 'sk_c7', identity ), 'sk_c4' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 419, [ =( multiply( 'sk_c8', 'sk_c7' ), 'sk_c9' ), =( 'sk_c1',
% 1.31/1.72 'sk_c2' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 421, [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ), =( 'sk_c1',
% 1.31/1.72 'sk_c2' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 437, [ =( multiply( inverse( 'sk_c9' ), identity ), 'sk_c1' ), =(
% 1.31/1.72 inverse( 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 439, [ =( multiply( inverse( 'sk_c9' ), identity ), 'sk_c1' ), =(
% 1.31/1.72 inverse( 'sk_c4' ), 'sk_c9' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 441, [ =( multiply( inverse( 'sk_c9' ), identity ), 'sk_c1' ), =(
% 1.31/1.72 inverse( 'sk_c5' ), 'sk_c6' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 443, [ =( inverse( 'sk_c9' ), 'sk_c7' ), =( 'sk_c1', 'sk_c2' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 445, [ =( inverse( 'sk_c4' ), 'sk_c9' ), =( 'sk_c1', 'sk_c2' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 446, [ =( inverse( 'sk_c2' ), 'sk_c9' ), =( multiply( 'sk_c7',
% 1.31/1.72 identity ), 'sk_c4' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 447, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c1', 'sk_c2' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 459, [ =( inverse( 'sk_c9' ), 'sk_c7' ), =( 'sk_c3', 'sk_c8' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 460, [ =( multiply( inverse( 'sk_c7' ), identity ), 'sk_c9' ), =(
% 1.31/1.72 'sk_c3', 'sk_c8' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 470, [ =( inverse( 'sk_c9' ), 'sk_c7' ), =( 'sk_c8', 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 472, [ =( multiply( inverse( 'sk_c7' ), identity ), 'sk_c9' ), =(
% 1.31/1.72 'sk_c8', 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 493, [ =( inverse( 'sk_c4' ), 'sk_c9' ), =( 'sk_c3', 'sk_c8' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 494, [ =( 'sk_c3', 'sk_c8' ), =( multiply( 'sk_c7', identity ),
% 1.31/1.72 'sk_c4' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 503, [ =( inverse( 'sk_c4' ), 'sk_c9' ), =( 'sk_c8', 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 504, [ =( multiply( 'sk_c9', 'sk_c4' ), identity ), =( 'sk_c3',
% 1.31/1.72 'sk_c8' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 505, [ =( 'sk_c8', 'sk_c7' ), =( multiply( 'sk_c7', identity ),
% 1.31/1.72 'sk_c4' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 515, [ =( multiply( 'sk_c9', 'sk_c4' ), identity ), =( 'sk_c8',
% 1.31/1.72 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 524, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c3', 'sk_c8' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 533, [ =( inverse( 'sk_c5' ), 'sk_c6' ), =( 'sk_c8', 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 541, [ =( multiply( 'sk_c9', 'sk_c7' ), 'sk_c7' ), =( inverse(
% 1.31/1.72 'sk_c5' ), 'sk_c6' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 559, [ =( multiply( 'sk_c7', identity ), 'sk_c4' ), =( 'sk_c3',
% 1.31/1.72 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 562, [ =( multiply( 'sk_c9', 'sk_c4' ), identity ), =( 'sk_c3',
% 1.31/1.72 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 590, [ =( multiply( 'sk_c8', 'sk_c7' ), 'sk_c9' ), =( 'sk_c3',
% 1.31/1.72 'sk_c8' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 595, [ =( multiply( 'sk_c8', 'sk_c7' ), 'sk_c9' ), =( 'sk_c8',
% 1.31/1.72 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 609, [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ), =( 'sk_c3',
% 1.31/1.72 'sk_c8' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 612, [ =( multiply( 'sk_c5', 'sk_c6' ), 'sk_c7' ), =( 'sk_c8',
% 1.31/1.72 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 615, [ =( multiply( 'sk_c9', 'sk_c7' ), 'sk_c7' ), =( multiply(
% 1.31/1.72 'sk_c5', 'sk_c6' ), 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 655, [ =( multiply( inverse( 'sk_c7' ), identity ), 'sk_c9' ), =(
% 1.31/1.72 'sk_c3', 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 670, [ =( multiply( X, identity ), X ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 707, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 727, [ =( 'sk_c4', 'sk_c7' ), =( 'sk_c3', 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 803, [ =( 'sk_c4', 'sk_c7' ), =( identity, 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 805, [ =( multiply( 'sk_c9', 'sk_c7' ), 'sk_c7' ), =( identity,
% 1.31/1.72 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 806, [ =( 'sk_c8', 'sk_c7' ), =( identity, 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 807, [ =( identity, 'sk_c7' ), =( 'sk_c3', 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 818, [ =( identity, 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 824, [ =( inverse( 'sk_c7' ), 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 826, [ =( multiply( X, 'sk_c7' ), X ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 828, [ =( 'sk_c3', 'sk_c7' ), =( 'sk_c9', 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 829, [ =( 'sk_c8', 'sk_c7' ), =( 'sk_c9', 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 830, [ =( multiply( 'sk_c7', X ), X ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 834, [ =( 'sk_c8', 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 838, [ =( 'sk_c9', 'sk_c7' ), =( 'sk_c9', 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 843, [ =( 'sk_c9', 'sk_c7' ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 856, [ ~( =( inverse( X ), 'sk_c7' ) ), ~( =( inverse( Y ), 'sk_c7'
% 1.31/1.72 ) ), ~( =( X, 'sk_c7' ) ), ~( =( Y, 'sk_c7' ) ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 857, [ ~( =( inverse( X ), 'sk_c7' ) ), ~( =( X, 'sk_c7' ) ) ] )
% 1.31/1.72 .
% 1.31/1.72 clause( 858, [] )
% 1.31/1.72 .
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 % SZS output end Refutation
% 1.31/1.72 found a proof!
% 1.31/1.72
% 1.31/1.72 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.31/1.72
% 1.31/1.72 initialclauses(
% 1.31/1.72 [ clause( 860, [ =( multiply( identity, X ), X ) ] )
% 1.31/1.72 , clause( 861, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.31/1.72 , clause( 862, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 1.31/1.72 Y, Z ) ) ) ] )
% 1.31/1.72 , clause( 863, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( multiply(
% 1.31/1.72 'sk_c8', 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 864, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( multiply(
% 1.31/1.72 'sk_c8', 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 , clause( 865, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( inverse(
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 866, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( inverse(
% 1.31/1.72 'sk_c4' ), 'sk_c9' ) ] )
% 1.31/1.72 , clause( 867, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( multiply(
% 1.31/1.72 'sk_c4', 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 , clause( 868, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( multiply(
% 1.31/1.72 'sk_c5', 'sk_c6' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 869, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( inverse(
% 1.31/1.72 'sk_c5' ), 'sk_c6' ) ] )
% 1.31/1.72 , clause( 870, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( multiply(
% 1.31/1.72 'sk_c6', 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 871, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( multiply(
% 1.31/1.72 'sk_c8', 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 872, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( multiply(
% 1.31/1.72 'sk_c8', 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 , clause( 873, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( inverse(
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 874, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( inverse(
% 1.31/1.72 'sk_c4' ), 'sk_c9' ) ] )
% 1.31/1.72 , clause( 875, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( multiply(
% 1.31/1.72 'sk_c4', 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 , clause( 876, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( multiply(
% 1.31/1.72 'sk_c5', 'sk_c6' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 877, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( inverse(
% 1.31/1.72 'sk_c5' ), 'sk_c6' ) ] )
% 1.31/1.72 , clause( 878, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( multiply(
% 1.31/1.72 'sk_c6', 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 879, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( multiply( 'sk_c8',
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 880, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( multiply( 'sk_c8',
% 1.31/1.72 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 , clause( 881, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( inverse( 'sk_c9' ),
% 1.31/1.72 'sk_c7' ) ] )
% 1.31/1.72 , clause( 882, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( inverse( 'sk_c4' ),
% 1.31/1.72 'sk_c9' ) ] )
% 1.31/1.72 , clause( 883, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( multiply( 'sk_c4',
% 1.31/1.72 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 , clause( 884, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( multiply( 'sk_c5',
% 1.31/1.72 'sk_c6' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 885, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( inverse( 'sk_c5' ),
% 1.31/1.72 'sk_c6' ) ] )
% 1.31/1.72 , clause( 886, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( multiply( 'sk_c6',
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 887, [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( multiply(
% 1.31/1.72 'sk_c8', 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 888, [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( multiply(
% 1.31/1.72 'sk_c8', 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 , clause( 889, [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( inverse(
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 890, [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( inverse(
% 1.31/1.72 'sk_c4' ), 'sk_c9' ) ] )
% 1.31/1.72 , clause( 891, [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( multiply(
% 1.31/1.72 'sk_c4', 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 , clause( 892, [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( multiply(
% 1.31/1.72 'sk_c5', 'sk_c6' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 893, [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( inverse(
% 1.31/1.72 'sk_c5' ), 'sk_c6' ) ] )
% 1.31/1.72 , clause( 894, [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( multiply(
% 1.31/1.72 'sk_c6', 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 895, [ =( multiply( 'sk_c2', 'sk_c9' ), 'sk_c3' ), =( multiply(
% 1.31/1.72 'sk_c8', 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 896, [ =( multiply( 'sk_c2', 'sk_c9' ), 'sk_c3' ), =( multiply(
% 1.31/1.72 'sk_c8', 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 , clause( 897, [ =( multiply( 'sk_c2', 'sk_c9' ), 'sk_c3' ), =( inverse(
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 898, [ =( multiply( 'sk_c2', 'sk_c9' ), 'sk_c3' ), =( inverse(
% 1.31/1.72 'sk_c4' ), 'sk_c9' ) ] )
% 1.31/1.72 , clause( 899, [ =( multiply( 'sk_c2', 'sk_c9' ), 'sk_c3' ), =( multiply(
% 1.31/1.72 'sk_c4', 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 , clause( 900, [ =( multiply( 'sk_c2', 'sk_c9' ), 'sk_c3' ), =( multiply(
% 1.31/1.72 'sk_c5', 'sk_c6' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 901, [ =( multiply( 'sk_c2', 'sk_c9' ), 'sk_c3' ), =( inverse(
% 1.31/1.72 'sk_c5' ), 'sk_c6' ) ] )
% 1.31/1.72 , clause( 902, [ =( multiply( 'sk_c2', 'sk_c9' ), 'sk_c3' ), =( multiply(
% 1.31/1.72 'sk_c6', 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 903, [ =( inverse( 'sk_c2' ), 'sk_c9' ), =( multiply( 'sk_c8',
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 904, [ =( inverse( 'sk_c2' ), 'sk_c9' ), =( multiply( 'sk_c8',
% 1.31/1.72 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 , clause( 905, [ =( inverse( 'sk_c2' ), 'sk_c9' ), =( inverse( 'sk_c9' ),
% 1.31/1.72 'sk_c7' ) ] )
% 1.31/1.72 , clause( 906, [ =( inverse( 'sk_c2' ), 'sk_c9' ), =( inverse( 'sk_c4' ),
% 1.31/1.72 'sk_c9' ) ] )
% 1.31/1.72 , clause( 907, [ =( inverse( 'sk_c2' ), 'sk_c9' ), =( multiply( 'sk_c4',
% 1.31/1.72 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 , clause( 908, [ =( inverse( 'sk_c2' ), 'sk_c9' ), =( multiply( 'sk_c5',
% 1.31/1.72 'sk_c6' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 909, [ =( inverse( 'sk_c2' ), 'sk_c9' ), =( inverse( 'sk_c5' ),
% 1.31/1.72 'sk_c6' ) ] )
% 1.31/1.72 , clause( 910, [ =( inverse( 'sk_c2' ), 'sk_c9' ), =( multiply( 'sk_c6',
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 911, [ ~( =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ) ), ~( =(
% 1.31/1.72 multiply( X, 'sk_c9' ), 'sk_c8' ) ), ~( =( inverse( X ), 'sk_c9' ) ), ~(
% 1.31/1.72 =( multiply( 'sk_c9', Y ), 'sk_c8' ) ), ~( =( multiply( Z, 'sk_c9' ), Y )
% 1.31/1.72 ), ~( =( inverse( Z ), 'sk_c9' ) ), ~( =( multiply( 'sk_c8', 'sk_c9' ),
% 1.31/1.72 'sk_c7' ) ), ~( =( multiply( 'sk_c8', 'sk_c7' ), 'sk_c9' ) ), ~( =(
% 1.31/1.72 inverse( 'sk_c9' ), 'sk_c7' ) ), ~( =( inverse( T ), 'sk_c9' ) ), ~( =(
% 1.31/1.72 multiply( T, 'sk_c7' ), 'sk_c9' ) ), ~( =( multiply( U, W ), 'sk_c7' ) )
% 1.31/1.72 , ~( =( inverse( U ), W ) ), ~( =( multiply( W, 'sk_c9' ), 'sk_c7' ) ) ]
% 1.31/1.72 )
% 1.31/1.72 ] ).
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 subsumption(
% 1.31/1.72 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.31/1.72 , clause( 860, [ =( multiply( identity, X ), X ) ] )
% 1.31/1.72 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 subsumption(
% 1.31/1.72 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.31/1.72 , clause( 861, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.31/1.72 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 eqswap(
% 1.31/1.72 clause( 917, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 1.31/1.72 ), Z ) ) ] )
% 1.31/1.72 , clause( 862, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 1.31/1.72 Y, Z ) ) ) ] )
% 1.31/1.72 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 subsumption(
% 1.31/1.72 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 1.31/1.72 , Z ) ) ] )
% 1.31/1.72 , clause( 917, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 1.31/1.72 , Y ), Z ) ) ] )
% 1.31/1.72 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.31/1.72 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 subsumption(
% 1.31/1.72 clause( 4, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( multiply(
% 1.31/1.72 'sk_c8', 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 , clause( 864, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( multiply(
% 1.31/1.72 'sk_c8', 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.31/1.72 ).
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 subsumption(
% 1.31/1.72 clause( 5, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( inverse(
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 865, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( inverse(
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.31/1.72 ).
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 subsumption(
% 1.31/1.72 clause( 6, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( inverse(
% 1.31/1.72 'sk_c4' ), 'sk_c9' ) ] )
% 1.31/1.72 , clause( 866, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( inverse(
% 1.31/1.72 'sk_c4' ), 'sk_c9' ) ] )
% 1.31/1.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.31/1.72 ).
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 subsumption(
% 1.31/1.72 clause( 8, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( multiply(
% 1.31/1.72 'sk_c5', 'sk_c6' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 868, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( multiply(
% 1.31/1.72 'sk_c5', 'sk_c6' ), 'sk_c7' ) ] )
% 1.31/1.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.31/1.72 ).
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 subsumption(
% 1.31/1.72 clause( 9, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( inverse(
% 1.31/1.72 'sk_c5' ), 'sk_c6' ) ] )
% 1.31/1.72 , clause( 869, [ =( multiply( 'sk_c9', 'sk_c8' ), 'sk_c7' ), =( inverse(
% 1.31/1.72 'sk_c5' ), 'sk_c6' ) ] )
% 1.31/1.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.31/1.72 ).
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 subsumption(
% 1.31/1.72 clause( 12, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( multiply(
% 1.31/1.72 'sk_c8', 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 , clause( 872, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( multiply(
% 1.31/1.72 'sk_c8', 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.31/1.72 ).
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 subsumption(
% 1.31/1.72 clause( 13, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( inverse(
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 873, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( inverse(
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.31/1.72 ).
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 subsumption(
% 1.31/1.72 clause( 14, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( inverse(
% 1.31/1.72 'sk_c4' ), 'sk_c9' ) ] )
% 1.31/1.72 , clause( 874, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( inverse(
% 1.31/1.72 'sk_c4' ), 'sk_c9' ) ] )
% 1.31/1.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.31/1.72 ).
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 subsumption(
% 1.31/1.72 clause( 16, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( multiply(
% 1.31/1.72 'sk_c5', 'sk_c6' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 876, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( multiply(
% 1.31/1.72 'sk_c5', 'sk_c6' ), 'sk_c7' ) ] )
% 1.31/1.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.31/1.72 ).
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 subsumption(
% 1.31/1.72 clause( 17, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( inverse(
% 1.31/1.72 'sk_c5' ), 'sk_c6' ) ] )
% 1.31/1.72 , clause( 877, [ =( multiply( 'sk_c1', 'sk_c9' ), 'sk_c8' ), =( inverse(
% 1.31/1.72 'sk_c5' ), 'sk_c6' ) ] )
% 1.31/1.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.31/1.72 ).
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 subsumption(
% 1.31/1.72 clause( 20, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( multiply( 'sk_c8',
% 1.31/1.72 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 , clause( 880, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( multiply( 'sk_c8',
% 1.31/1.72 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.31/1.72 ).
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 subsumption(
% 1.31/1.72 clause( 21, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( inverse( 'sk_c9' ),
% 1.31/1.72 'sk_c7' ) ] )
% 1.31/1.72 , clause( 881, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( inverse( 'sk_c9' ),
% 1.31/1.72 'sk_c7' ) ] )
% 1.31/1.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.31/1.72 ).
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 subsumption(
% 1.31/1.72 clause( 22, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( inverse( 'sk_c4' ),
% 1.31/1.72 'sk_c9' ) ] )
% 1.31/1.72 , clause( 882, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( inverse( 'sk_c4' ),
% 1.31/1.72 'sk_c9' ) ] )
% 1.31/1.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.31/1.72 ).
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 subsumption(
% 1.31/1.72 clause( 24, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( multiply( 'sk_c5',
% 1.31/1.72 'sk_c6' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 884, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( multiply( 'sk_c5',
% 1.31/1.72 'sk_c6' ), 'sk_c7' ) ] )
% 1.31/1.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.31/1.72 ).
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 subsumption(
% 1.31/1.72 clause( 25, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( inverse( 'sk_c5' ),
% 1.31/1.72 'sk_c6' ) ] )
% 1.31/1.72 , clause( 885, [ =( inverse( 'sk_c1' ), 'sk_c9' ), =( inverse( 'sk_c5' ),
% 1.31/1.72 'sk_c6' ) ] )
% 1.31/1.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.31/1.72 ).
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 subsumption(
% 1.31/1.72 clause( 28, [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( multiply(
% 1.31/1.72 'sk_c8', 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 , clause( 888, [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( multiply(
% 1.31/1.72 'sk_c8', 'sk_c7' ), 'sk_c9' ) ] )
% 1.31/1.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.31/1.72 ).
% 1.31/1.72
% 1.31/1.72
% 1.31/1.72 subsumption(
% 1.31/1.72 clause( 29, [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( inverse(
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 , clause( 889, [ =( multiply( 'sk_c9', 'sk_c3' ), 'sk_c8' ), =( inverse(
% 1.31/1.72 'sk_c9' ), 'sk_c7' ) ] )
% 1.31/1.72 , substitution( 0, [] ), permutation( 0, [ =Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------