TSTP Solution File: GRP729-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP729-1 : 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 0.72s 1.13s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP729-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jun 13 07:22:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.13 *** allocated 10000 integers for termspace/termends
% 0.72/1.13 *** allocated 10000 integers for clauses
% 0.72/1.13 *** allocated 10000 integers for justifications
% 0.72/1.13 Bliksem 1.12
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Automatic Strategy Selection
% 0.72/1.13
% 0.72/1.13 Clauses:
% 0.72/1.13 [
% 0.72/1.13 [ =( mult( unit, X ), X ) ],
% 0.72/1.13 [ =( mult( X, unit ), X ) ],
% 0.72/1.13 [ =( mult( X, i( X ) ), unit ) ],
% 0.72/1.13 [ =( mult( i( X ), X ), unit ) ],
% 0.72/1.13 [ =( i( mult( X, Y ) ), mult( i( X ), i( Y ) ) ) ],
% 0.72/1.13 [ =( mult( i( X ), mult( X, Y ) ), Y ) ],
% 0.72/1.13 [ =( rd( mult( X, Y ), Y ), X ) ],
% 0.72/1.13 [ =( mult( rd( X, Y ), Y ), X ) ],
% 0.72/1.13 [ =( mult( mult( X, mult( Y, X ) ), Z ), mult( X, mult( Y, mult( X, Z )
% 0.72/1.13 ) ) ) ],
% 0.72/1.13 [ =( mult( mult( X, Y ), Z ), mult( mult( X, mult( Y, Z ) ), asoc( X, Y
% 0.72/1.13 , Z ) ) ) ],
% 0.72/1.13 [ =( mult( X, Y ), mult( mult( Y, X ), 'op_k'( X, Y ) ) ) ],
% 0.72/1.13 [ =( 'op_l'( X, Y, Z ), mult( i( mult( Z, Y ) ), mult( Z, mult( Y, X ) )
% 0.72/1.13 ) ) ],
% 0.72/1.13 [ =( 'op_r'( X, Y, Z ), rd( mult( mult( X, Y ), Z ), mult( Y, Z ) ) ) ]
% 0.72/1.13 ,
% 0.72/1.13 [ =( 'op_t'( X, Y ), mult( i( Y ), mult( X, Y ) ) ) ],
% 0.72/1.13 [ =( 'op_r'( 'op_r'( X, Y, Z ), T, U ), 'op_r'( 'op_r'( X, T, U ), Y, Z
% 0.72/1.13 ) ) ],
% 0.72/1.13 [ =( 'op_l'( 'op_r'( X, Y, Z ), T, U ), 'op_r'( 'op_l'( X, T, U ), Y, Z
% 0.72/1.13 ) ) ],
% 0.72/1.13 [ =( 'op_l'( 'op_l'( X, Y, Z ), T, U ), 'op_l'( 'op_l'( X, T, U ), Y, Z
% 0.72/1.13 ) ) ],
% 0.72/1.13 [ =( 'op_t'( 'op_r'( X, Y, Z ), T ), 'op_r'( 'op_t'( X, T ), Y, Z ) ) ]
% 0.72/1.13 ,
% 0.72/1.13 [ =( 'op_t'( 'op_l'( X, Y, Z ), T ), 'op_l'( 'op_t'( X, T ), Y, Z ) ) ]
% 0.72/1.13 ,
% 0.72/1.13 [ =( 'op_t'( 'op_t'( X, Y ), Z ), 'op_t'( 'op_t'( X, Z ), Y ) ) ],
% 0.72/1.13 [ =( asoc( asoc( X, Y, Z ), T, U ), unit ) ],
% 0.72/1.13 [ =( asoc( X, Y, asoc( Z, T, U ) ), unit ) ],
% 0.72/1.13 [ ~( =( asoc( a, b, 'op_k'( c, d ) ), unit ) ) ]
% 0.72/1.13 ] .
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 percentage equality = 1.000000, percentage horn = 1.000000
% 0.72/1.13 This is a pure equality problem
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Options Used:
% 0.72/1.13
% 0.72/1.13 useres = 1
% 0.72/1.13 useparamod = 1
% 0.72/1.13 useeqrefl = 1
% 0.72/1.13 useeqfact = 1
% 0.72/1.13 usefactor = 1
% 0.72/1.13 usesimpsplitting = 0
% 0.72/1.13 usesimpdemod = 5
% 0.72/1.13 usesimpres = 3
% 0.72/1.13
% 0.72/1.13 resimpinuse = 1000
% 0.72/1.13 resimpclauses = 20000
% 0.72/1.13 substype = eqrewr
% 0.72/1.13 backwardsubs = 1
% 0.72/1.13 selectoldest = 5
% 0.72/1.13
% 0.72/1.13 litorderings [0] = split
% 0.72/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.13
% 0.72/1.13 termordering = kbo
% 0.72/1.13
% 0.72/1.13 litapriori = 0
% 0.72/1.13 termapriori = 1
% 0.72/1.13 litaposteriori = 0
% 0.72/1.13 termaposteriori = 0
% 0.72/1.13 demodaposteriori = 0
% 0.72/1.13 ordereqreflfact = 0
% 0.72/1.13
% 0.72/1.13 litselect = negord
% 0.72/1.13
% 0.72/1.13 maxweight = 15
% 0.72/1.13 maxdepth = 30000
% 0.72/1.13 maxlength = 115
% 0.72/1.13 maxnrvars = 195
% 0.72/1.13 excuselevel = 1
% 0.72/1.13 increasemaxweight = 1
% 0.72/1.13
% 0.72/1.13 maxselected = 10000000
% 0.72/1.13 maxnrclauses = 10000000
% 0.72/1.13
% 0.72/1.13 showgenerated = 0
% 0.72/1.13 showkept = 0
% 0.72/1.13 showselected = 0
% 0.72/1.13 showdeleted = 0
% 0.72/1.13 showresimp = 1
% 0.72/1.13 showstatus = 2000
% 0.72/1.13
% 0.72/1.13 prologoutput = 1
% 0.72/1.13 nrgoals = 5000000
% 0.72/1.13 totalproof = 1
% 0.72/1.13
% 0.72/1.13 Symbols occurring in the translation:
% 0.72/1.13
% 0.72/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.13 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.13 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.72/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 unit [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.72/1.13 mult [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.72/1.13 i [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.13 rd [44, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.72/1.13 asoc [46, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.72/1.13 'op_k' [47, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.72/1.13 'op_l' [48, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.72/1.13 'op_r' [49, 3] (w:1, o:56, a:1, s:1, b:0),
% 0.72/1.13 'op_t' [50, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.72/1.13 a [53, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.72/1.13 b [54, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.72/1.13 c [55, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.72/1.13 d [56, 0] (w:1, o:18, a:1, s:1, b:0).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Starting Search:
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Bliksems!, er is een bewijs:
% 0.72/1.13 % SZS status Unsatisfiable
% 0.72/1.13 % SZS output start Refutation
% 0.72/1.13
% 0.72/1.13 clause( 0, [ =( mult( unit, X ), X ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 3, [ =( mult( i( X ), X ), unit ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 4, [ =( mult( i( X ), i( Y ) ), i( mult( X, Y ) ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 5, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 9, [ =( mult( mult( X, mult( Y, Z ) ), asoc( X, Y, Z ) ), mult(
% 0.72/1.13 mult( X, Y ), Z ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 10, [ =( mult( mult( Y, X ), 'op_k'( X, Y ) ), mult( X, Y ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 21, [ =( asoc( X, Y, asoc( Z, T, U ) ), unit ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 22, [ ~( =( asoc( a, b, 'op_k'( c, d ) ), unit ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 62, [ =( mult( mult( Z, Y ), asoc( Z, i( X ), mult( X, Y ) ) ),
% 0.72/1.13 mult( mult( Z, i( X ) ), mult( X, Y ) ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 83, [ =( mult( i( mult( X, Y ) ), mult( Y, X ) ), 'op_k'( Y, X ) )
% 0.72/1.13 ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 563, [ =( asoc( i( X ), i( Y ), mult( Y, X ) ), 'op_k'( Y, X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 .
% 0.72/1.13 clause( 598, [ =( asoc( Z, T, 'op_k'( Y, X ) ), unit ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 608, [] )
% 0.72/1.13 .
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 % SZS output end Refutation
% 0.72/1.13 found a proof!
% 0.72/1.13
% 0.72/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.13
% 0.72/1.13 initialclauses(
% 0.72/1.13 [ clause( 610, [ =( mult( unit, X ), X ) ] )
% 0.72/1.13 , clause( 611, [ =( mult( X, unit ), X ) ] )
% 0.72/1.13 , clause( 612, [ =( mult( X, i( X ) ), unit ) ] )
% 0.72/1.13 , clause( 613, [ =( mult( i( X ), X ), unit ) ] )
% 0.72/1.13 , clause( 614, [ =( i( mult( X, Y ) ), mult( i( X ), i( Y ) ) ) ] )
% 0.72/1.13 , clause( 615, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.72/1.13 , clause( 616, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.72/1.13 , clause( 617, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.72/1.13 , clause( 618, [ =( mult( mult( X, mult( Y, X ) ), Z ), mult( X, mult( Y,
% 0.72/1.13 mult( X, Z ) ) ) ) ] )
% 0.72/1.13 , clause( 619, [ =( mult( mult( X, Y ), Z ), mult( mult( X, mult( Y, Z ) )
% 0.72/1.13 , asoc( X, Y, Z ) ) ) ] )
% 0.72/1.13 , clause( 620, [ =( mult( X, Y ), mult( mult( Y, X ), 'op_k'( X, Y ) ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 621, [ =( 'op_l'( X, Y, Z ), mult( i( mult( Z, Y ) ), mult( Z,
% 0.72/1.13 mult( Y, X ) ) ) ) ] )
% 0.72/1.13 , clause( 622, [ =( 'op_r'( X, Y, Z ), rd( mult( mult( X, Y ), Z ), mult( Y
% 0.72/1.13 , Z ) ) ) ] )
% 0.72/1.13 , clause( 623, [ =( 'op_t'( X, Y ), mult( i( Y ), mult( X, Y ) ) ) ] )
% 0.72/1.13 , clause( 624, [ =( 'op_r'( 'op_r'( X, Y, Z ), T, U ), 'op_r'( 'op_r'( X, T
% 0.72/1.13 , U ), Y, Z ) ) ] )
% 0.72/1.13 , clause( 625, [ =( 'op_l'( 'op_r'( X, Y, Z ), T, U ), 'op_r'( 'op_l'( X, T
% 0.72/1.13 , U ), Y, Z ) ) ] )
% 0.72/1.13 , clause( 626, [ =( 'op_l'( 'op_l'( X, Y, Z ), T, U ), 'op_l'( 'op_l'( X, T
% 0.72/1.13 , U ), Y, Z ) ) ] )
% 0.72/1.13 , clause( 627, [ =( 'op_t'( 'op_r'( X, Y, Z ), T ), 'op_r'( 'op_t'( X, T )
% 0.72/1.13 , Y, Z ) ) ] )
% 0.72/1.13 , clause( 628, [ =( 'op_t'( 'op_l'( X, Y, Z ), T ), 'op_l'( 'op_t'( X, T )
% 0.72/1.13 , Y, Z ) ) ] )
% 0.72/1.13 , clause( 629, [ =( 'op_t'( 'op_t'( X, Y ), Z ), 'op_t'( 'op_t'( X, Z ), Y
% 0.72/1.13 ) ) ] )
% 0.72/1.13 , clause( 630, [ =( asoc( asoc( X, Y, Z ), T, U ), unit ) ] )
% 0.72/1.13 , clause( 631, [ =( asoc( X, Y, asoc( Z, T, U ) ), unit ) ] )
% 0.72/1.13 , clause( 632, [ ~( =( asoc( a, b, 'op_k'( c, d ) ), unit ) ) ] )
% 0.72/1.13 ] ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 0, [ =( mult( unit, X ), X ) ] )
% 0.72/1.13 , clause( 610, [ =( mult( unit, X ), X ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 3, [ =( mult( i( X ), X ), unit ) ] )
% 0.72/1.13 , clause( 613, [ =( mult( i( X ), X ), unit ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 642, [ =( mult( i( X ), i( Y ) ), i( mult( X, Y ) ) ) ] )
% 0.72/1.13 , clause( 614, [ =( i( mult( X, Y ) ), mult( i( X ), i( Y ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 4, [ =( mult( i( X ), i( Y ) ), i( mult( X, Y ) ) ) ] )
% 0.72/1.13 , clause( 642, [ =( mult( i( X ), i( Y ) ), i( mult( X, Y ) ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 5, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.72/1.13 , clause( 615, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 658, [ =( mult( mult( X, mult( Y, Z ) ), asoc( X, Y, Z ) ), mult(
% 0.72/1.13 mult( X, Y ), Z ) ) ] )
% 0.72/1.13 , clause( 619, [ =( mult( mult( X, Y ), Z ), mult( mult( X, mult( Y, Z ) )
% 0.72/1.13 , asoc( X, Y, Z ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 9, [ =( mult( mult( X, mult( Y, Z ) ), asoc( X, Y, Z ) ), mult(
% 0.72/1.13 mult( X, Y ), Z ) ) ] )
% 0.72/1.13 , clause( 658, [ =( mult( mult( X, mult( Y, Z ) ), asoc( X, Y, Z ) ), mult(
% 0.72/1.13 mult( X, Y ), Z ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 669, [ =( mult( mult( Y, X ), 'op_k'( X, Y ) ), mult( X, Y ) ) ] )
% 0.72/1.13 , clause( 620, [ =( mult( X, Y ), mult( mult( Y, X ), 'op_k'( X, Y ) ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 10, [ =( mult( mult( Y, X ), 'op_k'( X, Y ) ), mult( X, Y ) ) ] )
% 0.72/1.13 , clause( 669, [ =( mult( mult( Y, X ), 'op_k'( X, Y ) ), mult( X, Y ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 21, [ =( asoc( X, Y, asoc( Z, T, U ) ), unit ) ] )
% 0.72/1.13 , clause( 631, [ =( asoc( X, Y, asoc( Z, T, U ) ), unit ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.13 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 22, [ ~( =( asoc( a, b, 'op_k'( c, d ) ), unit ) ) ] )
% 0.72/1.13 , clause( 632, [ ~( =( asoc( a, b, 'op_k'( c, d ) ), unit ) ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 710, [ =( mult( mult( X, Y ), Z ), mult( mult( X, mult( Y, Z ) ),
% 0.72/1.13 asoc( X, Y, Z ) ) ) ] )
% 0.72/1.13 , clause( 9, [ =( mult( mult( X, mult( Y, Z ) ), asoc( X, Y, Z ) ), mult(
% 0.72/1.13 mult( X, Y ), Z ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 715, [ =( mult( mult( X, i( Y ) ), mult( Y, Z ) ), mult( mult( X, Z
% 0.72/1.13 ), asoc( X, i( Y ), mult( Y, Z ) ) ) ) ] )
% 0.72/1.13 , clause( 5, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.72/1.13 , 0, clause( 710, [ =( mult( mult( X, Y ), Z ), mult( mult( X, mult( Y, Z )
% 0.72/1.13 ), asoc( X, Y, Z ) ) ) ] )
% 0.72/1.13 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, i( Y ) ), :=( Z, mult( Y, Z ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 718, [ =( mult( mult( X, Z ), asoc( X, i( Y ), mult( Y, Z ) ) ),
% 0.72/1.13 mult( mult( X, i( Y ) ), mult( Y, Z ) ) ) ] )
% 0.72/1.13 , clause( 715, [ =( mult( mult( X, i( Y ) ), mult( Y, Z ) ), mult( mult( X
% 0.72/1.13 , Z ), asoc( X, i( Y ), mult( Y, Z ) ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 62, [ =( mult( mult( Z, Y ), asoc( Z, i( X ), mult( X, Y ) ) ),
% 0.72/1.13 mult( mult( Z, i( X ) ), mult( X, Y ) ) ) ] )
% 0.72/1.13 , clause( 718, [ =( mult( mult( X, Z ), asoc( X, i( Y ), mult( Y, Z ) ) ),
% 0.72/1.13 mult( mult( X, i( Y ) ), mult( Y, Z ) ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.72/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 720, [ =( Y, mult( i( X ), mult( X, Y ) ) ) ] )
% 0.72/1.13 , clause( 5, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 725, [ =( 'op_k'( X, Y ), mult( i( mult( Y, X ) ), mult( X, Y ) ) )
% 0.72/1.13 ] )
% 0.72/1.13 , clause( 10, [ =( mult( mult( Y, X ), 'op_k'( X, Y ) ), mult( X, Y ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, clause( 720, [ =( Y, mult( i( X ), mult( X, Y ) ) ) ] )
% 0.72/1.13 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, mult( Y, X ) ), :=( Y, 'op_k'( X, Y ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 726, [ =( mult( i( mult( Y, X ) ), mult( X, Y ) ), 'op_k'( X, Y ) )
% 0.72/1.13 ] )
% 0.72/1.13 , clause( 725, [ =( 'op_k'( X, Y ), mult( i( mult( Y, X ) ), mult( X, Y ) )
% 0.72/1.13 ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 83, [ =( mult( i( mult( X, Y ) ), mult( Y, X ) ), 'op_k'( Y, X ) )
% 0.72/1.13 ] )
% 0.72/1.13 , clause( 726, [ =( mult( i( mult( Y, X ) ), mult( X, Y ) ), 'op_k'( X, Y )
% 0.72/1.13 ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 728, [ =( mult( mult( X, i( Z ) ), mult( Z, Y ) ), mult( mult( X, Y
% 0.72/1.13 ), asoc( X, i( Z ), mult( Z, Y ) ) ) ) ] )
% 0.72/1.13 , clause( 62, [ =( mult( mult( Z, Y ), asoc( Z, i( X ), mult( X, Y ) ) ),
% 0.72/1.13 mult( mult( Z, i( X ) ), mult( X, Y ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 735, [ =( mult( mult( i( X ), i( Y ) ), mult( Y, X ) ), mult( unit
% 0.72/1.13 , asoc( i( X ), i( Y ), mult( Y, X ) ) ) ) ] )
% 0.72/1.13 , clause( 3, [ =( mult( i( X ), X ), unit ) ] )
% 0.72/1.13 , 0, clause( 728, [ =( mult( mult( X, i( Z ) ), mult( Z, Y ) ), mult( mult(
% 0.72/1.13 X, Y ), asoc( X, i( Z ), mult( Z, Y ) ) ) ) ] )
% 0.72/1.13 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, i( X )
% 0.72/1.13 ), :=( Y, X ), :=( Z, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 737, [ =( mult( mult( i( X ), i( Y ) ), mult( Y, X ) ), asoc( i( X
% 0.72/1.13 ), i( Y ), mult( Y, X ) ) ) ] )
% 0.72/1.13 , clause( 0, [ =( mult( unit, X ), X ) ] )
% 0.72/1.13 , 0, clause( 735, [ =( mult( mult( i( X ), i( Y ) ), mult( Y, X ) ), mult(
% 0.72/1.13 unit, asoc( i( X ), i( Y ), mult( Y, X ) ) ) ) ] )
% 0.72/1.13 , 0, 10, substitution( 0, [ :=( X, asoc( i( X ), i( Y ), mult( Y, X ) ) )] )
% 0.72/1.13 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 738, [ =( mult( i( mult( X, Y ) ), mult( Y, X ) ), asoc( i( X ), i(
% 0.72/1.13 Y ), mult( Y, X ) ) ) ] )
% 0.72/1.13 , clause( 4, [ =( mult( i( X ), i( Y ) ), i( mult( X, Y ) ) ) ] )
% 0.72/1.13 , 0, clause( 737, [ =( mult( mult( i( X ), i( Y ) ), mult( Y, X ) ), asoc(
% 0.72/1.13 i( X ), i( Y ), mult( Y, X ) ) ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 739, [ =( 'op_k'( Y, X ), asoc( i( X ), i( Y ), mult( Y, X ) ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 83, [ =( mult( i( mult( X, Y ) ), mult( Y, X ) ), 'op_k'( Y, X )
% 0.72/1.13 ) ] )
% 0.72/1.13 , 0, clause( 738, [ =( mult( i( mult( X, Y ) ), mult( Y, X ) ), asoc( i( X
% 0.72/1.13 ), i( Y ), mult( Y, X ) ) ) ] )
% 0.72/1.13 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 740, [ =( asoc( i( Y ), i( X ), mult( X, Y ) ), 'op_k'( X, Y ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 739, [ =( 'op_k'( Y, X ), asoc( i( X ), i( Y ), mult( Y, X ) ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 563, [ =( asoc( i( X ), i( Y ), mult( Y, X ) ), 'op_k'( Y, X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 740, [ =( asoc( i( Y ), i( X ), mult( X, Y ) ), 'op_k'( X, Y ) )
% 0.72/1.13 ] )
% 0.72/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 742, [ =( unit, asoc( X, Y, asoc( Z, T, U ) ) ) ] )
% 0.72/1.13 , clause( 21, [ =( asoc( X, Y, asoc( Z, T, U ) ), unit ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.72/1.13 :=( U, U )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 743, [ =( unit, asoc( X, Y, 'op_k'( T, Z ) ) ) ] )
% 0.72/1.13 , clause( 563, [ =( asoc( i( X ), i( Y ), mult( Y, X ) ), 'op_k'( Y, X ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, clause( 742, [ =( unit, asoc( X, Y, asoc( Z, T, U ) ) ) ] )
% 0.72/1.13 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, T )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, Y ), :=( Z, i( Z ) ), :=( T, i( T ) ), :=( U, mult( T
% 0.72/1.13 , Z ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 744, [ =( asoc( X, Y, 'op_k'( Z, T ) ), unit ) ] )
% 0.72/1.13 , clause( 743, [ =( unit, asoc( X, Y, 'op_k'( T, Z ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 598, [ =( asoc( Z, T, 'op_k'( Y, X ) ), unit ) ] )
% 0.72/1.13 , clause( 744, [ =( asoc( X, Y, 'op_k'( Z, T ) ), unit ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, X )] ),
% 0.72/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 745, [ =( unit, asoc( X, Y, 'op_k'( Z, T ) ) ) ] )
% 0.72/1.13 , clause( 598, [ =( asoc( Z, T, 'op_k'( Y, X ) ), unit ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 746, [ ~( =( unit, asoc( a, b, 'op_k'( c, d ) ) ) ) ] )
% 0.72/1.13 , clause( 22, [ ~( =( asoc( a, b, 'op_k'( c, d ) ), unit ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 747, [] )
% 0.72/1.13 , clause( 746, [ ~( =( unit, asoc( a, b, 'op_k'( c, d ) ) ) ) ] )
% 0.72/1.13 , 0, clause( 745, [ =( unit, asoc( X, Y, 'op_k'( Z, T ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 0.72/1.13 Z, c ), :=( T, d )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 608, [] )
% 0.72/1.13 , clause( 747, [] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 end.
% 0.72/1.13
% 0.72/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.13
% 0.72/1.13 Memory use:
% 0.72/1.13
% 0.72/1.13 space for terms: 8655
% 0.72/1.13 space for clauses: 81965
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 clauses generated: 6782
% 0.72/1.13 clauses kept: 609
% 0.72/1.13 clauses selected: 164
% 0.72/1.13 clauses deleted: 33
% 0.72/1.13 clauses inuse deleted: 0
% 0.72/1.13
% 0.72/1.13 subsentry: 709
% 0.72/1.13 literals s-matched: 403
% 0.72/1.13 literals matched: 403
% 0.72/1.13 full subsumption: 0
% 0.72/1.13
% 0.72/1.13 checksum: -2094755426
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Bliksem ended
%------------------------------------------------------------------------------