TSTP Solution File: GRP730-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP730-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 07:39:17 EDT 2022
% Result : Unsatisfiable 0.75s 1.16s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP730-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n012.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 : Mon Jun 13 19:07:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.75/1.16 *** allocated 10000 integers for termspace/termends
% 0.75/1.16 *** allocated 10000 integers for clauses
% 0.75/1.16 *** allocated 10000 integers for justifications
% 0.75/1.16 Bliksem 1.12
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 Automatic Strategy Selection
% 0.75/1.16
% 0.75/1.16 Clauses:
% 0.75/1.16 [
% 0.75/1.16 [ =( mult( unit, X ), X ) ],
% 0.75/1.16 [ =( mult( X, unit ), X ) ],
% 0.75/1.16 [ =( mult( X, i( X ) ), unit ) ],
% 0.75/1.16 [ =( mult( i( X ), X ), unit ) ],
% 0.75/1.16 [ =( i( mult( X, Y ) ), mult( i( X ), i( Y ) ) ) ],
% 0.75/1.16 [ =( mult( i( X ), mult( X, Y ) ), Y ) ],
% 0.75/1.16 [ =( rd( mult( X, Y ), Y ), X ) ],
% 0.75/1.16 [ =( mult( rd( X, Y ), Y ), X ) ],
% 0.75/1.16 [ =( mult( mult( X, mult( Y, X ) ), Z ), mult( X, mult( Y, mult( X, Z )
% 0.75/1.16 ) ) ) ],
% 0.75/1.16 [ =( mult( mult( X, Y ), Z ), mult( mult( X, mult( Y, Z ) ), asoc( X, Y
% 0.75/1.16 , Z ) ) ) ],
% 0.75/1.16 [ =( mult( X, Y ), mult( mult( Y, X ), 'op_k'( X, Y ) ) ) ],
% 0.75/1.16 [ =( 'op_l'( X, Y, Z ), mult( i( mult( Z, Y ) ), mult( Z, mult( Y, X ) )
% 0.75/1.16 ) ) ],
% 0.75/1.16 [ =( 'op_r'( X, Y, Z ), rd( mult( mult( X, Y ), Z ), mult( Y, Z ) ) ) ]
% 0.75/1.16 ,
% 0.75/1.16 [ =( 'op_t'( X, Y ), mult( i( Y ), mult( X, Y ) ) ) ],
% 0.75/1.16 [ =( 'op_r'( 'op_r'( X, Y, Z ), T, U ), 'op_r'( 'op_r'( X, T, U ), Y, Z
% 0.75/1.16 ) ) ],
% 0.75/1.16 [ =( 'op_l'( 'op_r'( X, Y, Z ), T, U ), 'op_r'( 'op_l'( X, T, U ), Y, Z
% 0.75/1.16 ) ) ],
% 0.75/1.16 [ =( 'op_l'( 'op_l'( X, Y, Z ), T, U ), 'op_l'( 'op_l'( X, T, U ), Y, Z
% 0.75/1.16 ) ) ],
% 0.75/1.16 [ =( 'op_t'( 'op_r'( X, Y, Z ), T ), 'op_r'( 'op_t'( X, T ), Y, Z ) ) ]
% 0.75/1.16 ,
% 0.75/1.16 [ =( 'op_t'( 'op_l'( X, Y, Z ), T ), 'op_l'( 'op_t'( X, T ), Y, Z ) ) ]
% 0.75/1.16 ,
% 0.75/1.16 [ =( 'op_t'( 'op_t'( X, Y ), Z ), 'op_t'( 'op_t'( X, Z ), Y ) ) ],
% 0.75/1.16 [ =( asoc( asoc( X, Y, Z ), T, U ), unit ) ],
% 0.75/1.16 [ =( asoc( X, Y, asoc( Z, T, U ) ), unit ) ],
% 0.75/1.16 [ ~( =( asoc( 'op_k'( a, b ), c, d ), unit ) ) ]
% 0.75/1.16 ] .
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 percentage equality = 1.000000, percentage horn = 1.000000
% 0.75/1.16 This is a pure equality problem
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 Options Used:
% 0.75/1.16
% 0.75/1.16 useres = 1
% 0.75/1.16 useparamod = 1
% 0.75/1.16 useeqrefl = 1
% 0.75/1.16 useeqfact = 1
% 0.75/1.16 usefactor = 1
% 0.75/1.16 usesimpsplitting = 0
% 0.75/1.16 usesimpdemod = 5
% 0.75/1.16 usesimpres = 3
% 0.75/1.16
% 0.75/1.16 resimpinuse = 1000
% 0.75/1.16 resimpclauses = 20000
% 0.75/1.16 substype = eqrewr
% 0.75/1.16 backwardsubs = 1
% 0.75/1.16 selectoldest = 5
% 0.75/1.16
% 0.75/1.16 litorderings [0] = split
% 0.75/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.16
% 0.75/1.16 termordering = kbo
% 0.75/1.16
% 0.75/1.16 litapriori = 0
% 0.75/1.16 termapriori = 1
% 0.75/1.16 litaposteriori = 0
% 0.75/1.16 termaposteriori = 0
% 0.75/1.16 demodaposteriori = 0
% 0.75/1.16 ordereqreflfact = 0
% 0.75/1.16
% 0.75/1.16 litselect = negord
% 0.75/1.16
% 0.75/1.16 maxweight = 15
% 0.75/1.16 maxdepth = 30000
% 0.75/1.16 maxlength = 115
% 0.75/1.16 maxnrvars = 195
% 0.75/1.16 excuselevel = 1
% 0.75/1.16 increasemaxweight = 1
% 0.75/1.16
% 0.75/1.16 maxselected = 10000000
% 0.75/1.16 maxnrclauses = 10000000
% 0.75/1.16
% 0.75/1.16 showgenerated = 0
% 0.75/1.16 showkept = 0
% 0.75/1.16 showselected = 0
% 0.75/1.16 showdeleted = 0
% 0.75/1.16 showresimp = 1
% 0.75/1.16 showstatus = 2000
% 0.75/1.16
% 0.75/1.16 prologoutput = 1
% 0.75/1.16 nrgoals = 5000000
% 0.75/1.16 totalproof = 1
% 0.75/1.16
% 0.75/1.16 Symbols occurring in the translation:
% 0.75/1.16
% 0.75/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.16 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 0.75/1.16 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.75/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.16 unit [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.75/1.16 mult [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.75/1.16 i [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.75/1.16 rd [44, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.75/1.16 asoc [46, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.75/1.16 'op_k' [47, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.75/1.16 'op_l' [48, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.75/1.16 'op_r' [49, 3] (w:1, o:56, a:1, s:1, b:0),
% 0.75/1.16 'op_t' [50, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.75/1.16 a [53, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.75/1.16 b [54, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.75/1.16 c [55, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.75/1.16 d [56, 0] (w:1, o:18, a:1, s:1, b:0).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 Starting Search:
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 Bliksems!, er is een bewijs:
% 0.75/1.16 % SZS status Unsatisfiable
% 0.75/1.16 % SZS output start Refutation
% 0.75/1.16
% 0.75/1.16 clause( 0, [ =( mult( unit, X ), X ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 3, [ =( mult( i( X ), X ), unit ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 4, [ =( mult( i( X ), i( Y ) ), i( mult( X, Y ) ) ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 5, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 9, [ =( mult( mult( X, mult( Y, Z ) ), asoc( X, Y, Z ) ), mult(
% 0.75/1.16 mult( X, Y ), Z ) ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 10, [ =( mult( mult( Y, X ), 'op_k'( X, Y ) ), mult( X, Y ) ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 20, [ =( asoc( asoc( X, Y, Z ), T, U ), unit ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 22, [ ~( =( asoc( 'op_k'( a, b ), c, d ), unit ) ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 62, [ =( mult( mult( Z, Y ), asoc( Z, i( X ), mult( X, Y ) ) ),
% 0.75/1.16 mult( mult( Z, i( X ) ), mult( X, Y ) ) ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 83, [ =( mult( i( mult( X, Y ) ), mult( Y, X ) ), 'op_k'( Y, X ) )
% 0.75/1.16 ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 563, [ =( asoc( i( X ), i( Y ), mult( Y, X ) ), 'op_k'( Y, X ) ) ]
% 0.75/1.16 )
% 0.75/1.16 .
% 0.75/1.16 clause( 597, [ =( asoc( 'op_k'( Y, X ), Z, T ), unit ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 604, [] )
% 0.75/1.16 .
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 % SZS output end Refutation
% 0.75/1.16 found a proof!
% 0.75/1.16
% 0.75/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.16
% 0.75/1.16 initialclauses(
% 0.75/1.16 [ clause( 606, [ =( mult( unit, X ), X ) ] )
% 0.75/1.16 , clause( 607, [ =( mult( X, unit ), X ) ] )
% 0.75/1.16 , clause( 608, [ =( mult( X, i( X ) ), unit ) ] )
% 0.75/1.16 , clause( 609, [ =( mult( i( X ), X ), unit ) ] )
% 0.75/1.16 , clause( 610, [ =( i( mult( X, Y ) ), mult( i( X ), i( Y ) ) ) ] )
% 0.75/1.16 , clause( 611, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.75/1.16 , clause( 612, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.75/1.16 , clause( 613, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.75/1.16 , clause( 614, [ =( mult( mult( X, mult( Y, X ) ), Z ), mult( X, mult( Y,
% 0.75/1.16 mult( X, Z ) ) ) ) ] )
% 0.75/1.16 , clause( 615, [ =( mult( mult( X, Y ), Z ), mult( mult( X, mult( Y, Z ) )
% 0.75/1.16 , asoc( X, Y, Z ) ) ) ] )
% 0.75/1.16 , clause( 616, [ =( mult( X, Y ), mult( mult( Y, X ), 'op_k'( X, Y ) ) ) ]
% 0.75/1.16 )
% 0.75/1.16 , clause( 617, [ =( 'op_l'( X, Y, Z ), mult( i( mult( Z, Y ) ), mult( Z,
% 0.75/1.16 mult( Y, X ) ) ) ) ] )
% 0.75/1.16 , clause( 618, [ =( 'op_r'( X, Y, Z ), rd( mult( mult( X, Y ), Z ), mult( Y
% 0.75/1.16 , Z ) ) ) ] )
% 0.75/1.16 , clause( 619, [ =( 'op_t'( X, Y ), mult( i( Y ), mult( X, Y ) ) ) ] )
% 0.75/1.16 , clause( 620, [ =( 'op_r'( 'op_r'( X, Y, Z ), T, U ), 'op_r'( 'op_r'( X, T
% 0.75/1.16 , U ), Y, Z ) ) ] )
% 0.75/1.16 , clause( 621, [ =( 'op_l'( 'op_r'( X, Y, Z ), T, U ), 'op_r'( 'op_l'( X, T
% 0.75/1.16 , U ), Y, Z ) ) ] )
% 0.75/1.16 , clause( 622, [ =( 'op_l'( 'op_l'( X, Y, Z ), T, U ), 'op_l'( 'op_l'( X, T
% 0.75/1.16 , U ), Y, Z ) ) ] )
% 0.75/1.16 , clause( 623, [ =( 'op_t'( 'op_r'( X, Y, Z ), T ), 'op_r'( 'op_t'( X, T )
% 0.75/1.16 , Y, Z ) ) ] )
% 0.75/1.16 , clause( 624, [ =( 'op_t'( 'op_l'( X, Y, Z ), T ), 'op_l'( 'op_t'( X, T )
% 0.75/1.16 , Y, Z ) ) ] )
% 0.75/1.16 , clause( 625, [ =( 'op_t'( 'op_t'( X, Y ), Z ), 'op_t'( 'op_t'( X, Z ), Y
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 626, [ =( asoc( asoc( X, Y, Z ), T, U ), unit ) ] )
% 0.75/1.16 , clause( 627, [ =( asoc( X, Y, asoc( Z, T, U ) ), unit ) ] )
% 0.75/1.16 , clause( 628, [ ~( =( asoc( 'op_k'( a, b ), c, d ), unit ) ) ] )
% 0.75/1.16 ] ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 0, [ =( mult( unit, X ), X ) ] )
% 0.75/1.16 , clause( 606, [ =( mult( unit, X ), X ) ] )
% 0.75/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 3, [ =( mult( i( X ), X ), unit ) ] )
% 0.75/1.16 , clause( 609, [ =( mult( i( X ), X ), unit ) ] )
% 0.75/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 638, [ =( mult( i( X ), i( Y ) ), i( mult( X, Y ) ) ) ] )
% 0.75/1.16 , clause( 610, [ =( i( mult( X, Y ) ), mult( i( X ), i( Y ) ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 4, [ =( mult( i( X ), i( Y ) ), i( mult( X, Y ) ) ) ] )
% 0.75/1.16 , clause( 638, [ =( mult( i( X ), i( Y ) ), i( mult( X, Y ) ) ) ] )
% 0.75/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.16 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 5, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.75/1.16 , clause( 611, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.75/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.16 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 654, [ =( mult( mult( X, mult( Y, Z ) ), asoc( X, Y, Z ) ), mult(
% 0.75/1.16 mult( X, Y ), Z ) ) ] )
% 0.75/1.16 , clause( 615, [ =( mult( mult( X, Y ), Z ), mult( mult( X, mult( Y, Z ) )
% 0.75/1.16 , asoc( X, Y, Z ) ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 9, [ =( mult( mult( X, mult( Y, Z ) ), asoc( X, Y, Z ) ), mult(
% 0.75/1.16 mult( X, Y ), Z ) ) ] )
% 0.75/1.16 , clause( 654, [ =( mult( mult( X, mult( Y, Z ) ), asoc( X, Y, Z ) ), mult(
% 0.75/1.16 mult( X, Y ), Z ) ) ] )
% 0.75/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 665, [ =( mult( mult( Y, X ), 'op_k'( X, Y ) ), mult( X, Y ) ) ] )
% 0.75/1.16 , clause( 616, [ =( mult( X, Y ), mult( mult( Y, X ), 'op_k'( X, Y ) ) ) ]
% 0.75/1.16 )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 10, [ =( mult( mult( Y, X ), 'op_k'( X, Y ) ), mult( X, Y ) ) ] )
% 0.75/1.16 , clause( 665, [ =( mult( mult( Y, X ), 'op_k'( X, Y ) ), mult( X, Y ) ) ]
% 0.75/1.16 )
% 0.75/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.16 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 20, [ =( asoc( asoc( X, Y, Z ), T, U ), unit ) ] )
% 0.75/1.16 , clause( 626, [ =( asoc( asoc( X, Y, Z ), T, U ), unit ) ] )
% 0.75/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.75/1.16 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 22, [ ~( =( asoc( 'op_k'( a, b ), c, d ), unit ) ) ] )
% 0.75/1.16 , clause( 628, [ ~( =( asoc( 'op_k'( a, b ), c, d ), unit ) ) ] )
% 0.75/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 705, [ =( mult( mult( X, Y ), Z ), mult( mult( X, mult( Y, Z ) ),
% 0.75/1.16 asoc( X, Y, Z ) ) ) ] )
% 0.75/1.16 , clause( 9, [ =( mult( mult( X, mult( Y, Z ) ), asoc( X, Y, Z ) ), mult(
% 0.75/1.16 mult( X, Y ), Z ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 paramod(
% 0.75/1.16 clause( 710, [ =( mult( mult( X, i( Y ) ), mult( Y, Z ) ), mult( mult( X, Z
% 0.75/1.16 ), asoc( X, i( Y ), mult( Y, Z ) ) ) ) ] )
% 0.75/1.16 , clause( 5, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.75/1.16 , 0, clause( 705, [ =( mult( mult( X, Y ), Z ), mult( mult( X, mult( Y, Z )
% 0.75/1.16 ), asoc( X, Y, Z ) ) ) ] )
% 0.75/1.16 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.75/1.16 :=( X, X ), :=( Y, i( Y ) ), :=( Z, mult( Y, Z ) )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 713, [ =( mult( mult( X, Z ), asoc( X, i( Y ), mult( Y, Z ) ) ),
% 0.75/1.16 mult( mult( X, i( Y ) ), mult( Y, Z ) ) ) ] )
% 0.75/1.16 , clause( 710, [ =( mult( mult( X, i( Y ) ), mult( Y, Z ) ), mult( mult( X
% 0.75/1.16 , Z ), asoc( X, i( Y ), mult( Y, Z ) ) ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 62, [ =( mult( mult( Z, Y ), asoc( Z, i( X ), mult( X, Y ) ) ),
% 0.75/1.16 mult( mult( Z, i( X ) ), mult( X, Y ) ) ) ] )
% 0.75/1.16 , clause( 713, [ =( mult( mult( X, Z ), asoc( X, i( Y ), mult( Y, Z ) ) ),
% 0.75/1.16 mult( mult( X, i( Y ) ), mult( Y, Z ) ) ) ] )
% 0.75/1.16 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.75/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 715, [ =( Y, mult( i( X ), mult( X, Y ) ) ) ] )
% 0.75/1.16 , clause( 5, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 paramod(
% 0.75/1.16 clause( 720, [ =( 'op_k'( X, Y ), mult( i( mult( Y, X ) ), mult( X, Y ) ) )
% 0.75/1.16 ] )
% 0.75/1.16 , clause( 10, [ =( mult( mult( Y, X ), 'op_k'( X, Y ) ), mult( X, Y ) ) ]
% 0.75/1.16 )
% 0.75/1.16 , 0, clause( 715, [ =( Y, mult( i( X ), mult( X, Y ) ) ) ] )
% 0.75/1.16 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.75/1.16 :=( X, mult( Y, X ) ), :=( Y, 'op_k'( X, Y ) )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 721, [ =( mult( i( mult( Y, X ) ), mult( X, Y ) ), 'op_k'( X, Y ) )
% 0.75/1.16 ] )
% 0.75/1.16 , clause( 720, [ =( 'op_k'( X, Y ), mult( i( mult( Y, X ) ), mult( X, Y ) )
% 0.75/1.16 ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 83, [ =( mult( i( mult( X, Y ) ), mult( Y, X ) ), 'op_k'( Y, X ) )
% 0.75/1.16 ] )
% 0.75/1.16 , clause( 721, [ =( mult( i( mult( Y, X ) ), mult( X, Y ) ), 'op_k'( X, Y )
% 0.75/1.16 ) ] )
% 0.75/1.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.16 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 723, [ =( mult( mult( X, i( Z ) ), mult( Z, Y ) ), mult( mult( X, Y
% 0.75/1.16 ), asoc( X, i( Z ), mult( Z, Y ) ) ) ) ] )
% 0.75/1.16 , clause( 62, [ =( mult( mult( Z, Y ), asoc( Z, i( X ), mult( X, Y ) ) ),
% 0.75/1.16 mult( mult( Z, i( X ) ), mult( X, Y ) ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 paramod(
% 0.75/1.16 clause( 730, [ =( mult( mult( i( X ), i( Y ) ), mult( Y, X ) ), mult( unit
% 0.75/1.16 , asoc( i( X ), i( Y ), mult( Y, X ) ) ) ) ] )
% 0.75/1.16 , clause( 3, [ =( mult( i( X ), X ), unit ) ] )
% 0.75/1.16 , 0, clause( 723, [ =( mult( mult( X, i( Z ) ), mult( Z, Y ) ), mult( mult(
% 0.75/1.16 X, Y ), asoc( X, i( Z ), mult( Z, Y ) ) ) ) ] )
% 0.75/1.16 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 0.75/1.16 ), :=( Y, X ), :=( Z, Y )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 paramod(
% 0.75/1.16 clause( 732, [ =( mult( mult( i( X ), i( Y ) ), mult( Y, X ) ), asoc( i( X
% 0.75/1.16 ), i( Y ), mult( Y, X ) ) ) ] )
% 0.75/1.16 , clause( 0, [ =( mult( unit, X ), X ) ] )
% 0.75/1.16 , 0, clause( 730, [ =( mult( mult( i( X ), i( Y ) ), mult( Y, X ) ), mult(
% 0.75/1.16 unit, asoc( i( X ), i( Y ), mult( Y, X ) ) ) ) ] )
% 0.75/1.16 , 0, 10, substitution( 0, [ :=( X, asoc( i( X ), i( Y ), mult( Y, X ) ) )] )
% 0.75/1.16 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 paramod(
% 0.75/1.16 clause( 733, [ =( mult( i( mult( X, Y ) ), mult( Y, X ) ), asoc( i( X ), i(
% 0.75/1.16 Y ), mult( Y, X ) ) ) ] )
% 0.75/1.16 , clause( 4, [ =( mult( i( X ), i( Y ) ), i( mult( X, Y ) ) ) ] )
% 0.75/1.16 , 0, clause( 732, [ =( mult( mult( i( X ), i( Y ) ), mult( Y, X ) ), asoc(
% 0.75/1.16 i( X ), i( Y ), mult( Y, X ) ) ) ] )
% 0.75/1.16 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.75/1.16 :=( X, X ), :=( Y, Y )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 paramod(
% 0.75/1.16 clause( 734, [ =( 'op_k'( Y, X ), asoc( i( X ), i( Y ), mult( Y, X ) ) ) ]
% 0.75/1.16 )
% 0.75/1.16 , clause( 83, [ =( mult( i( mult( X, Y ) ), mult( Y, X ) ), 'op_k'( Y, X )
% 0.75/1.16 ) ] )
% 0.75/1.16 , 0, clause( 733, [ =( mult( i( mult( X, Y ) ), mult( Y, X ) ), asoc( i( X
% 0.75/1.16 ), i( Y ), mult( Y, X ) ) ) ] )
% 0.75/1.16 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.75/1.16 :=( X, X ), :=( Y, Y )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 735, [ =( asoc( i( Y ), i( X ), mult( X, Y ) ), 'op_k'( X, Y ) ) ]
% 0.75/1.16 )
% 0.75/1.16 , clause( 734, [ =( 'op_k'( Y, X ), asoc( i( X ), i( Y ), mult( Y, X ) ) )
% 0.75/1.16 ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 563, [ =( asoc( i( X ), i( Y ), mult( Y, X ) ), 'op_k'( Y, X ) ) ]
% 0.75/1.16 )
% 0.75/1.16 , clause( 735, [ =( asoc( i( Y ), i( X ), mult( X, Y ) ), 'op_k'( X, Y ) )
% 0.75/1.16 ] )
% 0.75/1.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.16 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 737, [ =( unit, asoc( asoc( X, Y, Z ), T, U ) ) ] )
% 0.75/1.16 , clause( 20, [ =( asoc( asoc( X, Y, Z ), T, U ), unit ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.75/1.16 :=( U, U )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 paramod(
% 0.75/1.16 clause( 738, [ =( unit, asoc( 'op_k'( Y, X ), Z, T ) ) ] )
% 0.75/1.16 , clause( 563, [ =( asoc( i( X ), i( Y ), mult( Y, X ) ), 'op_k'( Y, X ) )
% 0.75/1.16 ] )
% 0.75/1.16 , 0, clause( 737, [ =( unit, asoc( asoc( X, Y, Z ), T, U ) ) ] )
% 0.75/1.16 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.75/1.16 :=( X, i( X ) ), :=( Y, i( Y ) ), :=( Z, mult( Y, X ) ), :=( T, Z ), :=(
% 0.75/1.16 U, T )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 739, [ =( asoc( 'op_k'( X, Y ), Z, T ), unit ) ] )
% 0.75/1.16 , clause( 738, [ =( unit, asoc( 'op_k'( Y, X ), Z, T ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] )
% 0.75/1.16 ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 597, [ =( asoc( 'op_k'( Y, X ), Z, T ), unit ) ] )
% 0.75/1.16 , clause( 739, [ =( asoc( 'op_k'( X, Y ), Z, T ), unit ) ] )
% 0.75/1.16 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] ),
% 0.75/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 740, [ =( unit, asoc( 'op_k'( X, Y ), Z, T ) ) ] )
% 0.75/1.16 , clause( 597, [ =( asoc( 'op_k'( Y, X ), Z, T ), unit ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] )
% 0.75/1.16 ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 741, [ ~( =( unit, asoc( 'op_k'( a, b ), c, d ) ) ) ] )
% 0.75/1.16 , clause( 22, [ ~( =( asoc( 'op_k'( a, b ), c, d ), unit ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 resolution(
% 0.75/1.16 clause( 742, [] )
% 0.75/1.16 , clause( 741, [ ~( =( unit, asoc( 'op_k'( a, b ), c, d ) ) ) ] )
% 0.75/1.16 , 0, clause( 740, [ =( unit, asoc( 'op_k'( X, Y ), Z, T ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 0.75/1.16 Z, c ), :=( T, d )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 604, [] )
% 0.75/1.16 , clause( 742, [] )
% 0.75/1.16 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 end.
% 0.75/1.16
% 0.75/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.16
% 0.75/1.16 Memory use:
% 0.75/1.16
% 0.75/1.16 space for terms: 8596
% 0.75/1.16 space for clauses: 81315
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 clauses generated: 6599
% 0.75/1.16 clauses kept: 605
% 0.75/1.16 clauses selected: 162
% 0.75/1.16 clauses deleted: 33
% 0.75/1.16 clauses inuse deleted: 0
% 0.75/1.16
% 0.75/1.16 subsentry: 703
% 0.75/1.16 literals s-matched: 400
% 0.75/1.16 literals matched: 400
% 0.75/1.16 full subsumption: 0
% 0.75/1.16
% 0.75/1.16 checksum: -2027566627
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 Bliksem ended
%------------------------------------------------------------------------------