TSTP Solution File: GRP708-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP708-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 07:39:11 EDT 2022
% Result : Unsatisfiable 0.70s 1.12s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP708-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n026.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 12:36:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.70/1.12 *** allocated 10000 integers for termspace/termends
% 0.70/1.12 *** allocated 10000 integers for clauses
% 0.70/1.12 *** allocated 10000 integers for justifications
% 0.70/1.12 Bliksem 1.12
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 Automatic Strategy Selection
% 0.70/1.12
% 0.70/1.12 Clauses:
% 0.70/1.12 [
% 0.70/1.12 [ =( mult( X, ld( X, Y ) ), Y ) ],
% 0.70/1.12 [ =( ld( X, mult( X, Y ) ), Y ) ],
% 0.70/1.12 [ =( mult( rd( X, Y ), Y ), X ) ],
% 0.70/1.12 [ =( rd( mult( X, Y ), Y ), X ) ],
% 0.70/1.12 [ =( mult( X, unit ), X ) ],
% 0.70/1.12 [ =( mult( unit, X ), X ) ],
% 0.70/1.12 [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult( Y, X ) ),
% 0.70/1.12 Z ) ) ],
% 0.70/1.12 [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ],
% 0.70/1.12 [ =( mult( mult( 'op_c', 'op_c' ), mult( X, Y ) ), mult( mult( mult(
% 0.70/1.12 'op_c', 'op_c' ), X ), Y ) ) ],
% 0.70/1.12 [ ~( =( mult( a, mult( b, 'op_c' ) ), mult( mult( a, b ), 'op_c' ) ) ) ]
% 0.70/1.12
% 0.70/1.12 ] .
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 percentage equality = 1.000000, percentage horn = 1.000000
% 0.70/1.12 This is a pure equality problem
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 Options Used:
% 0.70/1.12
% 0.70/1.12 useres = 1
% 0.70/1.12 useparamod = 1
% 0.70/1.12 useeqrefl = 1
% 0.70/1.12 useeqfact = 1
% 0.70/1.12 usefactor = 1
% 0.70/1.12 usesimpsplitting = 0
% 0.70/1.12 usesimpdemod = 5
% 0.70/1.12 usesimpres = 3
% 0.70/1.12
% 0.70/1.12 resimpinuse = 1000
% 0.70/1.12 resimpclauses = 20000
% 0.70/1.12 substype = eqrewr
% 0.70/1.12 backwardsubs = 1
% 0.70/1.12 selectoldest = 5
% 0.70/1.12
% 0.70/1.12 litorderings [0] = split
% 0.70/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.12
% 0.70/1.12 termordering = kbo
% 0.70/1.12
% 0.70/1.12 litapriori = 0
% 0.70/1.12 termapriori = 1
% 0.70/1.12 litaposteriori = 0
% 0.70/1.12 termaposteriori = 0
% 0.70/1.12 demodaposteriori = 0
% 0.70/1.12 ordereqreflfact = 0
% 0.70/1.12
% 0.70/1.12 litselect = negord
% 0.70/1.12
% 0.70/1.12 maxweight = 15
% 0.70/1.12 maxdepth = 30000
% 0.70/1.12 maxlength = 115
% 0.70/1.12 maxnrvars = 195
% 0.70/1.12 excuselevel = 1
% 0.70/1.12 increasemaxweight = 1
% 0.70/1.12
% 0.70/1.12 maxselected = 10000000
% 0.70/1.12 maxnrclauses = 10000000
% 0.70/1.12
% 0.70/1.12 showgenerated = 0
% 0.70/1.12 showkept = 0
% 0.70/1.12 showselected = 0
% 0.70/1.12 showdeleted = 0
% 0.70/1.12 showresimp = 1
% 0.70/1.12 showstatus = 2000
% 0.70/1.12
% 0.70/1.12 prologoutput = 1
% 0.70/1.12 nrgoals = 5000000
% 0.70/1.12 totalproof = 1
% 0.70/1.12
% 0.70/1.12 Symbols occurring in the translation:
% 0.70/1.12
% 0.70/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.12 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.70/1.12 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.70/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.12 ld [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.70/1.12 mult [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.70/1.12 rd [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.70/1.12 unit [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.70/1.12 'op_c' [46, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.70/1.12 a [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.70/1.12 b [48, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 Starting Search:
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 Bliksems!, er is een bewijs:
% 0.70/1.12 % SZS status Unsatisfiable
% 0.70/1.12 % SZS output start Refutation
% 0.70/1.12
% 0.70/1.12 clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.70/1.12 .
% 0.70/1.12 clause( 5, [ =( mult( unit, X ), X ) ] )
% 0.70/1.12 .
% 0.70/1.12 clause( 6, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult( Y
% 0.70/1.12 , X ) ), Z ) ) ] )
% 0.70/1.12 .
% 0.70/1.12 clause( 7, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.70/1.12 .
% 0.70/1.12 clause( 8, [ =( mult( mult( 'op_c', 'op_c' ), mult( X, Y ) ), mult( mult(
% 0.70/1.12 mult( 'op_c', 'op_c' ), X ), Y ) ) ] )
% 0.70/1.12 .
% 0.70/1.12 clause( 9, [ ~( =( mult( a, mult( b, 'op_c' ) ), mult( mult( a, b ), 'op_c'
% 0.70/1.12 ) ) ) ] )
% 0.70/1.12 .
% 0.70/1.12 clause( 26, [ =( ld( X, mult( mult( X, mult( Y, X ) ), Z ) ), mult( Y, mult(
% 0.70/1.12 X, Z ) ) ) ] )
% 0.70/1.12 .
% 0.70/1.12 clause( 35, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.70/1.12 .
% 0.70/1.12 clause( 51, [ =( ld( X, mult( mult( X, X ), Y ) ), mult( X, Y ) ) ] )
% 0.70/1.12 .
% 0.70/1.12 clause( 60, [ ~( =( mult( a, mult( 'op_c', b ) ), mult( mult( a, b ),
% 0.70/1.12 'op_c' ) ) ) ] )
% 0.70/1.12 .
% 0.70/1.12 clause( 107, [ =( ld( 'op_c', mult( mult( mult( 'op_c', 'op_c' ), X ), Y )
% 0.70/1.12 ), mult( X, mult( 'op_c', Y ) ) ) ] )
% 0.70/1.12 .
% 0.70/1.12 clause( 129, [ =( mult( X, mult( 'op_c', Y ) ), mult( 'op_c', mult( X, Y )
% 0.70/1.12 ) ) ] )
% 0.70/1.12 .
% 0.70/1.12 clause( 156, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, Y ), 'op_c'
% 0.70/1.12 ) ) ] )
% 0.70/1.12 .
% 0.70/1.12 clause( 158, [] )
% 0.70/1.12 .
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 % SZS output end Refutation
% 0.70/1.12 found a proof!
% 0.70/1.12
% 0.70/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.12
% 0.70/1.12 initialclauses(
% 0.70/1.12 [ clause( 160, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.70/1.12 , clause( 161, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.70/1.12 , clause( 162, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.70/1.12 , clause( 163, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.70/1.12 , clause( 164, [ =( mult( X, unit ), X ) ] )
% 0.70/1.12 , clause( 165, [ =( mult( unit, X ), X ) ] )
% 0.70/1.12 , clause( 166, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult(
% 0.70/1.12 Y, X ) ), Z ) ) ] )
% 0.70/1.12 , clause( 167, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.70/1.12 , clause( 168, [ =( mult( mult( 'op_c', 'op_c' ), mult( X, Y ) ), mult(
% 0.70/1.12 mult( mult( 'op_c', 'op_c' ), X ), Y ) ) ] )
% 0.70/1.12 , clause( 169, [ ~( =( mult( a, mult( b, 'op_c' ) ), mult( mult( a, b ),
% 0.70/1.12 'op_c' ) ) ) ] )
% 0.70/1.12 ] ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 subsumption(
% 0.70/1.12 clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.70/1.12 , clause( 161, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.70/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.12 )] ) ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 subsumption(
% 0.70/1.12 clause( 5, [ =( mult( unit, X ), X ) ] )
% 0.70/1.12 , clause( 165, [ =( mult( unit, X ), X ) ] )
% 0.70/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 subsumption(
% 0.70/1.12 clause( 6, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult( Y
% 0.70/1.12 , X ) ), Z ) ) ] )
% 0.70/1.12 , clause( 166, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult(
% 0.70/1.12 Y, X ) ), Z ) ) ] )
% 0.70/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 subsumption(
% 0.70/1.12 clause( 7, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.70/1.12 , clause( 167, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.70/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 subsumption(
% 0.70/1.12 clause( 8, [ =( mult( mult( 'op_c', 'op_c' ), mult( X, Y ) ), mult( mult(
% 0.70/1.12 mult( 'op_c', 'op_c' ), X ), Y ) ) ] )
% 0.70/1.12 , clause( 168, [ =( mult( mult( 'op_c', 'op_c' ), mult( X, Y ) ), mult(
% 0.70/1.12 mult( mult( 'op_c', 'op_c' ), X ), Y ) ) ] )
% 0.70/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.12 )] ) ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 subsumption(
% 0.70/1.12 clause( 9, [ ~( =( mult( a, mult( b, 'op_c' ) ), mult( mult( a, b ), 'op_c'
% 0.70/1.12 ) ) ) ] )
% 0.70/1.12 , clause( 169, [ ~( =( mult( a, mult( b, 'op_c' ) ), mult( mult( a, b ),
% 0.70/1.12 'op_c' ) ) ) ] )
% 0.70/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 eqswap(
% 0.70/1.12 clause( 213, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.70/1.12 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.70/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 paramod(
% 0.70/1.12 clause( 214, [ =( mult( X, mult( Y, Z ) ), ld( Y, mult( mult( Y, mult( X, Y
% 0.70/1.12 ) ), Z ) ) ) ] )
% 0.70/1.12 , clause( 6, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult(
% 0.70/1.12 Y, X ) ), Z ) ) ] )
% 0.70/1.12 , 0, clause( 213, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.70/1.12 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.70/1.12 substitution( 1, [ :=( X, Y ), :=( Y, mult( X, mult( Y, Z ) ) )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 eqswap(
% 0.70/1.12 clause( 215, [ =( ld( Y, mult( mult( Y, mult( X, Y ) ), Z ) ), mult( X,
% 0.70/1.12 mult( Y, Z ) ) ) ] )
% 0.70/1.12 , clause( 214, [ =( mult( X, mult( Y, Z ) ), ld( Y, mult( mult( Y, mult( X
% 0.70/1.12 , Y ) ), Z ) ) ) ] )
% 0.70/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 subsumption(
% 0.70/1.12 clause( 26, [ =( ld( X, mult( mult( X, mult( Y, X ) ), Z ) ), mult( Y, mult(
% 0.70/1.12 X, Z ) ) ) ] )
% 0.70/1.12 , clause( 215, [ =( ld( Y, mult( mult( Y, mult( X, Y ) ), Z ) ), mult( X,
% 0.70/1.12 mult( Y, Z ) ) ) ] )
% 0.70/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.70/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 eqswap(
% 0.70/1.12 clause( 217, [ =( mult( mult( X, mult( Y, X ) ), Z ), mult( X, mult( Y,
% 0.70/1.12 mult( X, Z ) ) ) ) ] )
% 0.70/1.12 , clause( 6, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult(
% 0.70/1.12 Y, X ) ), Z ) ) ] )
% 0.70/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 paramod(
% 0.70/1.12 clause( 229, [ =( mult( mult( X, mult( unit, X ) ), Y ), mult( X, mult( X,
% 0.70/1.12 Y ) ) ) ] )
% 0.70/1.12 , clause( 5, [ =( mult( unit, X ), X ) ] )
% 0.70/1.12 , 0, clause( 217, [ =( mult( mult( X, mult( Y, X ) ), Z ), mult( X, mult( Y
% 0.70/1.12 , mult( X, Z ) ) ) ) ] )
% 0.70/1.12 , 0, 10, substitution( 0, [ :=( X, mult( X, Y ) )] ), substitution( 1, [
% 0.70/1.12 :=( X, X ), :=( Y, unit ), :=( Z, Y )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 paramod(
% 0.70/1.12 clause( 246, [ =( mult( mult( X, X ), Y ), mult( X, mult( X, Y ) ) ) ] )
% 0.70/1.12 , clause( 5, [ =( mult( unit, X ), X ) ] )
% 0.70/1.12 , 0, clause( 229, [ =( mult( mult( X, mult( unit, X ) ), Y ), mult( X, mult(
% 0.70/1.12 X, Y ) ) ) ] )
% 0.70/1.12 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.12 :=( Y, Y )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 eqswap(
% 0.70/1.12 clause( 247, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.70/1.12 , clause( 246, [ =( mult( mult( X, X ), Y ), mult( X, mult( X, Y ) ) ) ] )
% 0.70/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 subsumption(
% 0.70/1.12 clause( 35, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.70/1.12 , clause( 247, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.70/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.12 )] ) ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 eqswap(
% 0.70/1.12 clause( 249, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.70/1.12 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.70/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 paramod(
% 0.70/1.12 clause( 250, [ =( mult( X, Y ), ld( X, mult( mult( X, X ), Y ) ) ) ] )
% 0.70/1.12 , clause( 35, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.70/1.12 , 0, clause( 249, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.70/1.12 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.12 :=( X, X ), :=( Y, mult( X, Y ) )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 eqswap(
% 0.70/1.12 clause( 251, [ =( ld( X, mult( mult( X, X ), Y ) ), mult( X, Y ) ) ] )
% 0.70/1.12 , clause( 250, [ =( mult( X, Y ), ld( X, mult( mult( X, X ), Y ) ) ) ] )
% 0.70/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 subsumption(
% 0.70/1.12 clause( 51, [ =( ld( X, mult( mult( X, X ), Y ) ), mult( X, Y ) ) ] )
% 0.70/1.12 , clause( 251, [ =( ld( X, mult( mult( X, X ), Y ) ), mult( X, Y ) ) ] )
% 0.70/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.12 )] ) ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 eqswap(
% 0.70/1.12 clause( 252, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.70/1.12 , clause( 7, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.70/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 eqswap(
% 0.70/1.12 clause( 253, [ ~( =( mult( mult( a, b ), 'op_c' ), mult( a, mult( b, 'op_c'
% 0.70/1.12 ) ) ) ) ] )
% 0.70/1.12 , clause( 9, [ ~( =( mult( a, mult( b, 'op_c' ) ), mult( mult( a, b ),
% 0.70/1.12 'op_c' ) ) ) ] )
% 0.70/1.12 , 0, substitution( 0, [] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 paramod(
% 0.70/1.12 clause( 255, [ ~( =( mult( mult( a, b ), 'op_c' ), mult( a, mult( 'op_c', b
% 0.70/1.12 ) ) ) ) ] )
% 0.70/1.12 , clause( 252, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.70/1.12 , 0, clause( 253, [ ~( =( mult( mult( a, b ), 'op_c' ), mult( a, mult( b,
% 0.70/1.12 'op_c' ) ) ) ) ] )
% 0.70/1.12 , 0, 9, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 eqswap(
% 0.70/1.12 clause( 259, [ ~( =( mult( a, mult( 'op_c', b ) ), mult( mult( a, b ),
% 0.70/1.12 'op_c' ) ) ) ] )
% 0.70/1.12 , clause( 255, [ ~( =( mult( mult( a, b ), 'op_c' ), mult( a, mult( 'op_c'
% 0.70/1.12 , b ) ) ) ) ] )
% 0.70/1.12 , 0, substitution( 0, [] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 subsumption(
% 0.70/1.12 clause( 60, [ ~( =( mult( a, mult( 'op_c', b ) ), mult( mult( a, b ),
% 0.70/1.12 'op_c' ) ) ) ] )
% 0.70/1.12 , clause( 259, [ ~( =( mult( a, mult( 'op_c', b ) ), mult( mult( a, b ),
% 0.70/1.12 'op_c' ) ) ) ] )
% 0.70/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 eqswap(
% 0.70/1.12 clause( 260, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.70/1.12 , clause( 7, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.70/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 eqswap(
% 0.70/1.12 clause( 261, [ =( mult( Y, mult( X, Z ) ), ld( X, mult( mult( X, mult( Y, X
% 0.70/1.12 ) ), Z ) ) ) ] )
% 0.70/1.12 , clause( 26, [ =( ld( X, mult( mult( X, mult( Y, X ) ), Z ) ), mult( Y,
% 0.70/1.12 mult( X, Z ) ) ) ] )
% 0.70/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 paramod(
% 0.70/1.12 clause( 265, [ =( mult( X, mult( 'op_c', Y ) ), ld( 'op_c', mult( mult(
% 0.70/1.12 'op_c', mult( 'op_c', X ) ), Y ) ) ) ] )
% 0.70/1.12 , clause( 260, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.70/1.12 , 0, clause( 261, [ =( mult( Y, mult( X, Z ) ), ld( X, mult( mult( X, mult(
% 0.70/1.12 Y, X ) ), Z ) ) ) ] )
% 0.70/1.12 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, 'op_c'
% 0.70/1.12 ), :=( Y, X ), :=( Z, Y )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 paramod(
% 0.70/1.12 clause( 267, [ =( mult( X, mult( 'op_c', Y ) ), ld( 'op_c', mult( mult(
% 0.70/1.12 mult( 'op_c', 'op_c' ), X ), Y ) ) ) ] )
% 0.70/1.12 , clause( 35, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.70/1.12 , 0, clause( 265, [ =( mult( X, mult( 'op_c', Y ) ), ld( 'op_c', mult( mult(
% 0.70/1.12 'op_c', mult( 'op_c', X ) ), Y ) ) ) ] )
% 0.70/1.12 , 0, 9, substitution( 0, [ :=( X, 'op_c' ), :=( Y, X )] ), substitution( 1
% 0.70/1.12 , [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 eqswap(
% 0.70/1.12 clause( 268, [ =( ld( 'op_c', mult( mult( mult( 'op_c', 'op_c' ), X ), Y )
% 0.70/1.12 ), mult( X, mult( 'op_c', Y ) ) ) ] )
% 0.70/1.12 , clause( 267, [ =( mult( X, mult( 'op_c', Y ) ), ld( 'op_c', mult( mult(
% 0.70/1.12 mult( 'op_c', 'op_c' ), X ), Y ) ) ) ] )
% 0.70/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 subsumption(
% 0.70/1.12 clause( 107, [ =( ld( 'op_c', mult( mult( mult( 'op_c', 'op_c' ), X ), Y )
% 0.70/1.12 ), mult( X, mult( 'op_c', Y ) ) ) ] )
% 0.70/1.12 , clause( 268, [ =( ld( 'op_c', mult( mult( mult( 'op_c', 'op_c' ), X ), Y
% 0.70/1.12 ) ), mult( X, mult( 'op_c', Y ) ) ) ] )
% 0.70/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.12 )] ) ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 eqswap(
% 0.70/1.12 clause( 270, [ =( mult( X, Y ), ld( X, mult( mult( X, X ), Y ) ) ) ] )
% 0.70/1.12 , clause( 51, [ =( ld( X, mult( mult( X, X ), Y ) ), mult( X, Y ) ) ] )
% 0.70/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 paramod(
% 0.70/1.12 clause( 273, [ =( mult( 'op_c', mult( X, Y ) ), ld( 'op_c', mult( mult(
% 0.70/1.12 mult( 'op_c', 'op_c' ), X ), Y ) ) ) ] )
% 0.70/1.12 , clause( 8, [ =( mult( mult( 'op_c', 'op_c' ), mult( X, Y ) ), mult( mult(
% 0.70/1.12 mult( 'op_c', 'op_c' ), X ), Y ) ) ] )
% 0.70/1.12 , 0, clause( 270, [ =( mult( X, Y ), ld( X, mult( mult( X, X ), Y ) ) ) ]
% 0.70/1.12 )
% 0.70/1.12 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.12 :=( X, 'op_c' ), :=( Y, mult( X, Y ) )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 paramod(
% 0.70/1.12 clause( 276, [ =( mult( 'op_c', mult( X, Y ) ), mult( X, mult( 'op_c', Y )
% 0.70/1.12 ) ) ] )
% 0.70/1.12 , clause( 107, [ =( ld( 'op_c', mult( mult( mult( 'op_c', 'op_c' ), X ), Y
% 0.70/1.12 ) ), mult( X, mult( 'op_c', Y ) ) ) ] )
% 0.70/1.12 , 0, clause( 273, [ =( mult( 'op_c', mult( X, Y ) ), ld( 'op_c', mult( mult(
% 0.70/1.12 mult( 'op_c', 'op_c' ), X ), Y ) ) ) ] )
% 0.70/1.12 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.12 :=( X, X ), :=( Y, Y )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 eqswap(
% 0.70/1.12 clause( 277, [ =( mult( X, mult( 'op_c', Y ) ), mult( 'op_c', mult( X, Y )
% 0.70/1.12 ) ) ] )
% 0.70/1.12 , clause( 276, [ =( mult( 'op_c', mult( X, Y ) ), mult( X, mult( 'op_c', Y
% 0.70/1.12 ) ) ) ] )
% 0.70/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 subsumption(
% 0.70/1.12 clause( 129, [ =( mult( X, mult( 'op_c', Y ) ), mult( 'op_c', mult( X, Y )
% 0.70/1.12 ) ) ] )
% 0.70/1.12 , clause( 277, [ =( mult( X, mult( 'op_c', Y ) ), mult( 'op_c', mult( X, Y
% 0.70/1.12 ) ) ) ] )
% 0.70/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.12 )] ) ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 eqswap(
% 0.70/1.12 clause( 278, [ =( mult( 'op_c', mult( X, Y ) ), mult( X, mult( 'op_c', Y )
% 0.70/1.12 ) ) ] )
% 0.70/1.12 , clause( 129, [ =( mult( X, mult( 'op_c', Y ) ), mult( 'op_c', mult( X, Y
% 0.70/1.12 ) ) ) ] )
% 0.70/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 eqswap(
% 0.70/1.12 clause( 279, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.70/1.12 , clause( 7, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.70/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 paramod(
% 0.70/1.12 clause( 280, [ =( mult( mult( X, Y ), 'op_c' ), mult( X, mult( 'op_c', Y )
% 0.70/1.12 ) ) ] )
% 0.70/1.12 , clause( 278, [ =( mult( 'op_c', mult( X, Y ) ), mult( X, mult( 'op_c', Y
% 0.70/1.12 ) ) ) ] )
% 0.70/1.12 , 0, clause( 279, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.70/1.12 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.12 :=( X, mult( X, Y ) )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 eqswap(
% 0.70/1.12 clause( 281, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, Y ), 'op_c'
% 0.70/1.12 ) ) ] )
% 0.70/1.12 , clause( 280, [ =( mult( mult( X, Y ), 'op_c' ), mult( X, mult( 'op_c', Y
% 0.70/1.12 ) ) ) ] )
% 0.70/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 subsumption(
% 0.70/1.12 clause( 156, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, Y ), 'op_c'
% 0.70/1.12 ) ) ] )
% 0.70/1.12 , clause( 281, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, Y ),
% 0.70/1.12 'op_c' ) ) ] )
% 0.70/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.12 )] ) ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 eqswap(
% 0.70/1.12 clause( 282, [ =( mult( mult( X, Y ), 'op_c' ), mult( X, mult( 'op_c', Y )
% 0.70/1.12 ) ) ] )
% 0.70/1.12 , clause( 156, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, Y ),
% 0.70/1.12 'op_c' ) ) ] )
% 0.70/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 eqswap(
% 0.70/1.12 clause( 283, [ ~( =( mult( mult( a, b ), 'op_c' ), mult( a, mult( 'op_c', b
% 0.70/1.12 ) ) ) ) ] )
% 0.70/1.12 , clause( 60, [ ~( =( mult( a, mult( 'op_c', b ) ), mult( mult( a, b ),
% 0.70/1.12 'op_c' ) ) ) ] )
% 0.70/1.12 , 0, substitution( 0, [] )).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 resolution(
% 0.70/1.12 clause( 284, [] )
% 0.70/1.12 , clause( 283, [ ~( =( mult( mult( a, b ), 'op_c' ), mult( a, mult( 'op_c'
% 0.70/1.12 , b ) ) ) ) ] )
% 0.70/1.12 , 0, clause( 282, [ =( mult( mult( X, Y ), 'op_c' ), mult( X, mult( 'op_c'
% 0.70/1.12 , Y ) ) ) ] )
% 0.70/1.12 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.70/1.12 ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 subsumption(
% 0.70/1.12 clause( 158, [] )
% 0.70/1.12 , clause( 284, [] )
% 0.70/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 end.
% 0.70/1.12
% 0.70/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.12
% 0.70/1.12 Memory use:
% 0.70/1.12
% 0.70/1.12 space for terms: 2242
% 0.70/1.12 space for clauses: 19473
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 clauses generated: 1372
% 0.70/1.12 clauses kept: 159
% 0.70/1.12 clauses selected: 50
% 0.70/1.12 clauses deleted: 3
% 0.70/1.12 clauses inuse deleted: 0
% 0.70/1.12
% 0.70/1.12 subsentry: 599
% 0.70/1.12 literals s-matched: 278
% 0.70/1.12 literals matched: 273
% 0.70/1.12 full subsumption: 0
% 0.70/1.12
% 0.70/1.12 checksum: -86739408
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 Bliksem ended
%------------------------------------------------------------------------------