TSTP Solution File: NUN134-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUN134-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 : Mon Jul 18 16:19:22 EDT 2022
% Result : Unsatisfiable 0.97s 1.36s
% Output : Refutation 0.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN134-1 : TPTP v8.1.0. Released v8.1.0.
% 0.12/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n019.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 : Thu Jun 2 04:31:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.97/1.36 *** allocated 10000 integers for termspace/termends
% 0.97/1.36 *** allocated 10000 integers for clauses
% 0.97/1.36 *** allocated 10000 integers for justifications
% 0.97/1.36 Bliksem 1.12
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 Automatic Strategy Selection
% 0.97/1.36
% 0.97/1.36 Clauses:
% 0.97/1.36 [
% 0.97/1.36 [ =( +( X, Y ), +( Y, X ) ) ],
% 0.97/1.36 [ =( +( X, +( Y, Z ) ), +( +( X, Y ), Z ) ) ],
% 0.97/1.36 [ =( times( X, Y ), times( Y, X ) ) ],
% 0.97/1.36 [ =( times( X, times( Y, Z ) ), times( times( X, Y ), Z ) ) ],
% 0.97/1.36 [ =( +( X, zero ), X ) ],
% 0.97/1.36 [ =( times( X, zero ), zero ) ],
% 0.97/1.36 [ =( times( X, one ), X ) ],
% 0.97/1.36 [ =( times( X, +( Y, Z ) ), +( times( X, Y ), times( X, Z ) ) ) ],
% 0.97/1.36 [ =( times( +( X, Y ), Z ), +( times( X, Z ), times( Y, Z ) ) ) ],
% 0.97/1.36 [ =( +( s( X ), Y ), s( +( X, Y ) ) ) ],
% 0.97/1.36 [ =( times( s( X ), Y ), +( Y, times( X, Y ) ) ) ],
% 0.97/1.36 [ =( sum( zero ), zero ) ],
% 0.97/1.36 [ =( sum( s( X ) ), +( s( X ), sum( X ) ) ) ],
% 0.97/1.36 [ =( +( sum( a ), sum( a ) ), times( a, s( a ) ) ) ],
% 0.97/1.36 [ ~( =( +( sum( s( a ) ), sum( s( a ) ) ), times( s( a ), s( s( a ) ) )
% 0.97/1.36 ) ) ]
% 0.97/1.36 ] .
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 percentage equality = 1.000000, percentage horn = 1.000000
% 0.97/1.36 This is a pure equality problem
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 Options Used:
% 0.97/1.36
% 0.97/1.36 useres = 1
% 0.97/1.36 useparamod = 1
% 0.97/1.36 useeqrefl = 1
% 0.97/1.36 useeqfact = 1
% 0.97/1.36 usefactor = 1
% 0.97/1.36 usesimpsplitting = 0
% 0.97/1.36 usesimpdemod = 5
% 0.97/1.36 usesimpres = 3
% 0.97/1.36
% 0.97/1.36 resimpinuse = 1000
% 0.97/1.36 resimpclauses = 20000
% 0.97/1.36 substype = eqrewr
% 0.97/1.36 backwardsubs = 1
% 0.97/1.36 selectoldest = 5
% 0.97/1.36
% 0.97/1.36 litorderings [0] = split
% 0.97/1.36 litorderings [1] = extend the termordering, first sorting on arguments
% 0.97/1.36
% 0.97/1.36 termordering = kbo
% 0.97/1.36
% 0.97/1.36 litapriori = 0
% 0.97/1.36 termapriori = 1
% 0.97/1.36 litaposteriori = 0
% 0.97/1.36 termaposteriori = 0
% 0.97/1.36 demodaposteriori = 0
% 0.97/1.36 ordereqreflfact = 0
% 0.97/1.36
% 0.97/1.36 litselect = negord
% 0.97/1.36
% 0.97/1.36 maxweight = 15
% 0.97/1.36 maxdepth = 30000
% 0.97/1.36 maxlength = 115
% 0.97/1.36 maxnrvars = 195
% 0.97/1.36 excuselevel = 1
% 0.97/1.36 increasemaxweight = 1
% 0.97/1.36
% 0.97/1.36 maxselected = 10000000
% 0.97/1.36 maxnrclauses = 10000000
% 0.97/1.36
% 0.97/1.36 showgenerated = 0
% 0.97/1.36 showkept = 0
% 0.97/1.36 showselected = 0
% 0.97/1.36 showdeleted = 0
% 0.97/1.36 showresimp = 1
% 0.97/1.36 showstatus = 2000
% 0.97/1.36
% 0.97/1.36 prologoutput = 1
% 0.97/1.36 nrgoals = 5000000
% 0.97/1.36 totalproof = 1
% 0.97/1.36
% 0.97/1.36 Symbols occurring in the translation:
% 0.97/1.36
% 0.97/1.36 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.97/1.36 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.97/1.36 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.97/1.36 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.97/1.36 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.97/1.36 + [27, 2] (w:1, o:42, a:1, s:1, b:0),
% 0.97/1.36 times [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.97/1.36 zero [43, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.97/1.36 one [44, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.97/1.36 s [45, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.97/1.36 sum [46, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.97/1.36 a [48, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 Starting Search:
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 Bliksems!, er is een bewijs:
% 0.97/1.36 % SZS status Unsatisfiable
% 0.97/1.36 % SZS output start Refutation
% 0.97/1.36
% 0.97/1.36 clause( 0, [ =( +( X, Y ), +( Y, X ) ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 1, [ =( +( X, +( Y, Z ) ), +( +( X, Y ), Z ) ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 2, [ =( times( X, Y ), times( Y, X ) ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 6, [ =( times( X, one ), X ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 9, [ =( +( s( X ), Y ), s( +( X, Y ) ) ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 10, [ =( +( Y, times( X, Y ) ), times( s( X ), Y ) ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 12, [ =( s( +( X, sum( X ) ) ), sum( s( X ) ) ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 13, [ =( +( sum( a ), sum( a ) ), times( a, s( a ) ) ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 14, [ ~( =( +( sum( s( a ) ), sum( s( a ) ) ), times( s( a ), s( s(
% 0.97/1.36 a ) ) ) ) ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 16, [ =( times( one, X ), X ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 18, [ =( +( Y, s( X ) ), s( +( X, Y ) ) ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 20, [ =( +( +( X, Y ), Z ), +( +( Y, Z ), X ) ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 23, [ =( s( +( +( X, sum( X ) ), Y ) ), +( Y, sum( s( X ) ) ) ) ]
% 0.97/1.36 )
% 0.97/1.36 .
% 0.97/1.36 clause( 34, [ =( s( +( X, times( Y, s( X ) ) ) ), times( s( Y ), s( X ) ) )
% 0.97/1.36 ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 35, [ =( +( X, X ), times( s( one ), X ) ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 39, [ =( +( one, X ), s( X ) ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 43, [ =( +( X, one ), s( X ) ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 55, [ =( s( +( X, Y ) ), s( +( Y, X ) ) ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 69, [ =( +( X, X ), times( X, s( one ) ) ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 79, [ =( +( +( X, sum( a ) ), sum( a ) ), +( X, times( a, s( a ) )
% 0.97/1.36 ) ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 90, [ ~( =( times( s( a ), s( s( a ) ) ), times( sum( s( a ) ), s(
% 0.97/1.36 one ) ) ) ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 171, [ =( +( +( Z, X ), Y ), +( +( Y, X ), Z ) ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 315, [ =( s( +( +( Y, sum( X ) ), X ) ), +( Y, sum( s( X ) ) ) ) ]
% 0.97/1.36 )
% 0.97/1.36 .
% 0.97/1.36 clause( 409, [ =( s( +( times( Y, s( X ) ), X ) ), times( s( Y ), s( X ) )
% 0.97/1.36 ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 508, [ =( +( sum( a ), sum( s( a ) ) ), times( s( a ), s( a ) ) ) ]
% 0.97/1.36 )
% 0.97/1.36 .
% 0.97/1.36 clause( 510, [ =( +( sum( s( a ) ), sum( a ) ), times( s( a ), s( a ) ) ) ]
% 0.97/1.36 )
% 0.97/1.36 .
% 0.97/1.36 clause( 531, [ ~( =( times( s( s( a ) ), s( a ) ), times( sum( s( a ) ), s(
% 0.97/1.36 one ) ) ) ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 532, [ =( +( sum( s( a ) ), sum( s( a ) ) ), times( s( s( a ) ), s(
% 0.97/1.36 a ) ) ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 548, [ =( times( s( s( a ) ), s( a ) ), times( sum( s( a ) ), s(
% 0.97/1.36 one ) ) ) ] )
% 0.97/1.36 .
% 0.97/1.36 clause( 549, [] )
% 0.97/1.36 .
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 % SZS output end Refutation
% 0.97/1.36 found a proof!
% 0.97/1.36
% 0.97/1.36 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.97/1.36
% 0.97/1.36 initialclauses(
% 0.97/1.36 [ clause( 551, [ =( +( X, Y ), +( Y, X ) ) ] )
% 0.97/1.36 , clause( 552, [ =( +( X, +( Y, Z ) ), +( +( X, Y ), Z ) ) ] )
% 0.97/1.36 , clause( 553, [ =( times( X, Y ), times( Y, X ) ) ] )
% 0.97/1.36 , clause( 554, [ =( times( X, times( Y, Z ) ), times( times( X, Y ), Z ) )
% 0.97/1.36 ] )
% 0.97/1.36 , clause( 555, [ =( +( X, zero ), X ) ] )
% 0.97/1.36 , clause( 556, [ =( times( X, zero ), zero ) ] )
% 0.97/1.36 , clause( 557, [ =( times( X, one ), X ) ] )
% 0.97/1.36 , clause( 558, [ =( times( X, +( Y, Z ) ), +( times( X, Y ), times( X, Z )
% 0.97/1.36 ) ) ] )
% 0.97/1.36 , clause( 559, [ =( times( +( X, Y ), Z ), +( times( X, Z ), times( Y, Z )
% 0.97/1.36 ) ) ] )
% 0.97/1.36 , clause( 560, [ =( +( s( X ), Y ), s( +( X, Y ) ) ) ] )
% 0.97/1.36 , clause( 561, [ =( times( s( X ), Y ), +( Y, times( X, Y ) ) ) ] )
% 0.97/1.36 , clause( 562, [ =( sum( zero ), zero ) ] )
% 0.97/1.36 , clause( 563, [ =( sum( s( X ) ), +( s( X ), sum( X ) ) ) ] )
% 0.97/1.36 , clause( 564, [ =( +( sum( a ), sum( a ) ), times( a, s( a ) ) ) ] )
% 0.97/1.36 , clause( 565, [ ~( =( +( sum( s( a ) ), sum( s( a ) ) ), times( s( a ), s(
% 0.97/1.36 s( a ) ) ) ) ) ] )
% 0.97/1.36 ] ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 0, [ =( +( X, Y ), +( Y, X ) ) ] )
% 0.97/1.36 , clause( 551, [ =( +( X, Y ), +( Y, X ) ) ] )
% 0.97/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.97/1.36 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 1, [ =( +( X, +( Y, Z ) ), +( +( X, Y ), Z ) ) ] )
% 0.97/1.36 , clause( 552, [ =( +( X, +( Y, Z ) ), +( +( X, Y ), Z ) ) ] )
% 0.97/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.97/1.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 2, [ =( times( X, Y ), times( Y, X ) ) ] )
% 0.97/1.36 , clause( 553, [ =( times( X, Y ), times( Y, X ) ) ] )
% 0.97/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.97/1.36 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 6, [ =( times( X, one ), X ) ] )
% 0.97/1.36 , clause( 557, [ =( times( X, one ), X ) ] )
% 0.97/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 9, [ =( +( s( X ), Y ), s( +( X, Y ) ) ) ] )
% 0.97/1.36 , clause( 560, [ =( +( s( X ), Y ), s( +( X, Y ) ) ) ] )
% 0.97/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.97/1.36 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 589, [ =( +( Y, times( X, Y ) ), times( s( X ), Y ) ) ] )
% 0.97/1.36 , clause( 561, [ =( times( s( X ), Y ), +( Y, times( X, Y ) ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 10, [ =( +( Y, times( X, Y ) ), times( s( X ), Y ) ) ] )
% 0.97/1.36 , clause( 589, [ =( +( Y, times( X, Y ) ), times( s( X ), Y ) ) ] )
% 0.97/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.97/1.36 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 616, [ =( sum( s( X ) ), s( +( X, sum( X ) ) ) ) ] )
% 0.97/1.36 , clause( 9, [ =( +( s( X ), Y ), s( +( X, Y ) ) ) ] )
% 0.97/1.36 , 0, clause( 563, [ =( sum( s( X ) ), +( s( X ), sum( X ) ) ) ] )
% 0.97/1.36 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, sum( X ) )] ), substitution(
% 0.97/1.36 1, [ :=( X, X )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 617, [ =( s( +( X, sum( X ) ) ), sum( s( X ) ) ) ] )
% 0.97/1.36 , clause( 616, [ =( sum( s( X ) ), s( +( X, sum( X ) ) ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 12, [ =( s( +( X, sum( X ) ) ), sum( s( X ) ) ) ] )
% 0.97/1.36 , clause( 617, [ =( s( +( X, sum( X ) ) ), sum( s( X ) ) ) ] )
% 0.97/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 13, [ =( +( sum( a ), sum( a ) ), times( a, s( a ) ) ) ] )
% 0.97/1.36 , clause( 564, [ =( +( sum( a ), sum( a ) ), times( a, s( a ) ) ) ] )
% 0.97/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 14, [ ~( =( +( sum( s( a ) ), sum( s( a ) ) ), times( s( a ), s( s(
% 0.97/1.36 a ) ) ) ) ) ] )
% 0.97/1.36 , clause( 565, [ ~( =( +( sum( s( a ) ), sum( s( a ) ) ), times( s( a ), s(
% 0.97/1.36 s( a ) ) ) ) ) ] )
% 0.97/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 643, [ =( X, times( X, one ) ) ] )
% 0.97/1.36 , clause( 6, [ =( times( X, one ), X ) ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 644, [ =( X, times( one, X ) ) ] )
% 0.97/1.36 , clause( 2, [ =( times( X, Y ), times( Y, X ) ) ] )
% 0.97/1.36 , 0, clause( 643, [ =( X, times( X, one ) ) ] )
% 0.97/1.36 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, one )] ), substitution( 1, [
% 0.97/1.36 :=( X, X )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 647, [ =( times( one, X ), X ) ] )
% 0.97/1.36 , clause( 644, [ =( X, times( one, X ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 16, [ =( times( one, X ), X ) ] )
% 0.97/1.36 , clause( 647, [ =( times( one, X ), X ) ] )
% 0.97/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 648, [ =( s( +( X, Y ) ), +( s( X ), Y ) ) ] )
% 0.97/1.36 , clause( 9, [ =( +( s( X ), Y ), s( +( X, Y ) ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 650, [ =( s( +( X, Y ) ), +( Y, s( X ) ) ) ] )
% 0.97/1.36 , clause( 0, [ =( +( X, Y ), +( Y, X ) ) ] )
% 0.97/1.36 , 0, clause( 648, [ =( s( +( X, Y ) ), +( s( X ), Y ) ) ] )
% 0.97/1.36 , 0, 5, substitution( 0, [ :=( X, s( X ) ), :=( Y, Y )] ), substitution( 1
% 0.97/1.36 , [ :=( X, X ), :=( Y, Y )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 656, [ =( +( Y, s( X ) ), s( +( X, Y ) ) ) ] )
% 0.97/1.36 , clause( 650, [ =( s( +( X, Y ) ), +( Y, s( X ) ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 18, [ =( +( Y, s( X ) ), s( +( X, Y ) ) ) ] )
% 0.97/1.36 , clause( 656, [ =( +( Y, s( X ) ), s( +( X, Y ) ) ) ] )
% 0.97/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.97/1.36 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 657, [ =( +( +( X, Y ), Z ), +( X, +( Y, Z ) ) ) ] )
% 0.97/1.36 , clause( 1, [ =( +( X, +( Y, Z ) ), +( +( X, Y ), Z ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 660, [ =( +( +( X, Y ), Z ), +( +( Y, Z ), X ) ) ] )
% 0.97/1.36 , clause( 0, [ =( +( X, Y ), +( Y, X ) ) ] )
% 0.97/1.36 , 0, clause( 657, [ =( +( +( X, Y ), Z ), +( X, +( Y, Z ) ) ) ] )
% 0.97/1.36 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, +( Y, Z ) )] ),
% 0.97/1.36 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 20, [ =( +( +( X, Y ), Z ), +( +( Y, Z ), X ) ) ] )
% 0.97/1.36 , clause( 660, [ =( +( +( X, Y ), Z ), +( +( Y, Z ), X ) ) ] )
% 0.97/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.97/1.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 675, [ =( s( +( Y, X ) ), +( X, s( Y ) ) ) ] )
% 0.97/1.36 , clause( 18, [ =( +( Y, s( X ) ), s( +( X, Y ) ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 677, [ =( s( +( +( X, sum( X ) ), Y ) ), +( Y, sum( s( X ) ) ) ) ]
% 0.97/1.36 )
% 0.97/1.36 , clause( 12, [ =( s( +( X, sum( X ) ) ), sum( s( X ) ) ) ] )
% 0.97/1.36 , 0, clause( 675, [ =( s( +( Y, X ) ), +( X, s( Y ) ) ) ] )
% 0.97/1.36 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.97/1.36 :=( Y, +( X, sum( X ) ) )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 23, [ =( s( +( +( X, sum( X ) ), Y ) ), +( Y, sum( s( X ) ) ) ) ]
% 0.97/1.36 )
% 0.97/1.36 , clause( 677, [ =( s( +( +( X, sum( X ) ), Y ) ), +( Y, sum( s( X ) ) ) )
% 0.97/1.36 ] )
% 0.97/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.97/1.36 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 680, [ =( times( s( Y ), X ), +( X, times( Y, X ) ) ) ] )
% 0.97/1.36 , clause( 10, [ =( +( Y, times( X, Y ) ), times( s( X ), Y ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 682, [ =( times( s( X ), s( Y ) ), s( +( Y, times( X, s( Y ) ) ) )
% 0.97/1.36 ) ] )
% 0.97/1.36 , clause( 9, [ =( +( s( X ), Y ), s( +( X, Y ) ) ) ] )
% 0.97/1.36 , 0, clause( 680, [ =( times( s( Y ), X ), +( X, times( Y, X ) ) ) ] )
% 0.97/1.36 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, times( X, s( Y ) ) )] ),
% 0.97/1.36 substitution( 1, [ :=( X, s( Y ) ), :=( Y, X )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 683, [ =( s( +( Y, times( X, s( Y ) ) ) ), times( s( X ), s( Y ) )
% 0.97/1.36 ) ] )
% 0.97/1.36 , clause( 682, [ =( times( s( X ), s( Y ) ), s( +( Y, times( X, s( Y ) ) )
% 0.97/1.36 ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 34, [ =( s( +( X, times( Y, s( X ) ) ) ), times( s( Y ), s( X ) ) )
% 0.97/1.36 ] )
% 0.97/1.36 , clause( 683, [ =( s( +( Y, times( X, s( Y ) ) ) ), times( s( X ), s( Y )
% 0.97/1.36 ) ) ] )
% 0.97/1.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.97/1.36 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 685, [ =( times( s( Y ), X ), +( X, times( Y, X ) ) ) ] )
% 0.97/1.36 , clause( 10, [ =( +( Y, times( X, Y ) ), times( s( X ), Y ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 686, [ =( times( s( one ), X ), +( X, X ) ) ] )
% 0.97/1.36 , clause( 16, [ =( times( one, X ), X ) ] )
% 0.97/1.36 , 0, clause( 685, [ =( times( s( Y ), X ), +( X, times( Y, X ) ) ) ] )
% 0.97/1.36 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.97/1.36 :=( Y, one )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 687, [ =( +( X, X ), times( s( one ), X ) ) ] )
% 0.97/1.36 , clause( 686, [ =( times( s( one ), X ), +( X, X ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 35, [ =( +( X, X ), times( s( one ), X ) ) ] )
% 0.97/1.36 , clause( 687, [ =( +( X, X ), times( s( one ), X ) ) ] )
% 0.97/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 689, [ =( times( s( Y ), X ), +( X, times( Y, X ) ) ) ] )
% 0.97/1.36 , clause( 10, [ =( +( Y, times( X, Y ) ), times( s( X ), Y ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 692, [ =( times( s( X ), one ), +( one, X ) ) ] )
% 0.97/1.36 , clause( 6, [ =( times( X, one ), X ) ] )
% 0.97/1.36 , 0, clause( 689, [ =( times( s( Y ), X ), +( X, times( Y, X ) ) ) ] )
% 0.97/1.36 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, one ),
% 0.97/1.36 :=( Y, X )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 694, [ =( s( X ), +( one, X ) ) ] )
% 0.97/1.36 , clause( 6, [ =( times( X, one ), X ) ] )
% 0.97/1.36 , 0, clause( 692, [ =( times( s( X ), one ), +( one, X ) ) ] )
% 0.97/1.36 , 0, 1, substitution( 0, [ :=( X, s( X ) )] ), substitution( 1, [ :=( X, X
% 0.97/1.36 )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 695, [ =( +( one, X ), s( X ) ) ] )
% 0.97/1.36 , clause( 694, [ =( s( X ), +( one, X ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 39, [ =( +( one, X ), s( X ) ) ] )
% 0.97/1.36 , clause( 695, [ =( +( one, X ), s( X ) ) ] )
% 0.97/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 696, [ =( s( X ), +( one, X ) ) ] )
% 0.97/1.36 , clause( 39, [ =( +( one, X ), s( X ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 697, [ =( s( X ), +( X, one ) ) ] )
% 0.97/1.36 , clause( 0, [ =( +( X, Y ), +( Y, X ) ) ] )
% 0.97/1.36 , 0, clause( 696, [ =( s( X ), +( one, X ) ) ] )
% 0.97/1.36 , 0, 3, substitution( 0, [ :=( X, one ), :=( Y, X )] ), substitution( 1, [
% 0.97/1.36 :=( X, X )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 700, [ =( +( X, one ), s( X ) ) ] )
% 0.97/1.36 , clause( 697, [ =( s( X ), +( X, one ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 43, [ =( +( X, one ), s( X ) ) ] )
% 0.97/1.36 , clause( 700, [ =( +( X, one ), s( X ) ) ] )
% 0.97/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 702, [ =( +( +( X, Y ), Z ), +( X, +( Y, Z ) ) ) ] )
% 0.97/1.36 , clause( 1, [ =( +( X, +( Y, Z ) ), +( +( X, Y ), Z ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 707, [ =( +( +( X, Y ), one ), +( X, s( Y ) ) ) ] )
% 0.97/1.36 , clause( 43, [ =( +( X, one ), s( X ) ) ] )
% 0.97/1.36 , 0, clause( 702, [ =( +( +( X, Y ), Z ), +( X, +( Y, Z ) ) ) ] )
% 0.97/1.36 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.97/1.36 :=( Y, Y ), :=( Z, one )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 709, [ =( +( +( X, Y ), one ), s( +( Y, X ) ) ) ] )
% 0.97/1.36 , clause( 18, [ =( +( Y, s( X ) ), s( +( X, Y ) ) ) ] )
% 0.97/1.36 , 0, clause( 707, [ =( +( +( X, Y ), one ), +( X, s( Y ) ) ) ] )
% 0.97/1.36 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.97/1.36 :=( X, X ), :=( Y, Y )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 710, [ =( s( +( X, Y ) ), s( +( Y, X ) ) ) ] )
% 0.97/1.36 , clause( 43, [ =( +( X, one ), s( X ) ) ] )
% 0.97/1.36 , 0, clause( 709, [ =( +( +( X, Y ), one ), s( +( Y, X ) ) ) ] )
% 0.97/1.36 , 0, 1, substitution( 0, [ :=( X, +( X, Y ) )] ), substitution( 1, [ :=( X
% 0.97/1.36 , X ), :=( Y, Y )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 55, [ =( s( +( X, Y ) ), s( +( Y, X ) ) ) ] )
% 0.97/1.36 , clause( 710, [ =( s( +( X, Y ) ), s( +( Y, X ) ) ) ] )
% 0.97/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.97/1.36 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 711, [ =( times( s( one ), X ), +( X, X ) ) ] )
% 0.97/1.36 , clause( 35, [ =( +( X, X ), times( s( one ), X ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, X )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 712, [ =( +( X, X ), times( X, s( one ) ) ) ] )
% 0.97/1.36 , clause( 711, [ =( times( s( one ), X ), +( X, X ) ) ] )
% 0.97/1.36 , 0, clause( 2, [ =( times( X, Y ), times( Y, X ) ) ] )
% 0.97/1.36 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, s( one
% 0.97/1.36 ) ), :=( Y, X )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 69, [ =( +( X, X ), times( X, s( one ) ) ) ] )
% 0.97/1.36 , clause( 712, [ =( +( X, X ), times( X, s( one ) ) ) ] )
% 0.97/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 715, [ =( +( +( X, Y ), Z ), +( X, +( Y, Z ) ) ) ] )
% 0.97/1.36 , clause( 1, [ =( +( X, +( Y, Z ) ), +( +( X, Y ), Z ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 717, [ =( +( +( X, sum( a ) ), sum( a ) ), +( X, times( a, s( a ) )
% 0.97/1.36 ) ) ] )
% 0.97/1.36 , clause( 13, [ =( +( sum( a ), sum( a ) ), times( a, s( a ) ) ) ] )
% 0.97/1.36 , 0, clause( 715, [ =( +( +( X, Y ), Z ), +( X, +( Y, Z ) ) ) ] )
% 0.97/1.36 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, sum(
% 0.97/1.36 a ) ), :=( Z, sum( a ) )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 79, [ =( +( +( X, sum( a ) ), sum( a ) ), +( X, times( a, s( a ) )
% 0.97/1.36 ) ) ] )
% 0.97/1.36 , clause( 717, [ =( +( +( X, sum( a ) ), sum( a ) ), +( X, times( a, s( a )
% 0.97/1.36 ) ) ) ] )
% 0.97/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 721, [ ~( =( times( s( a ), s( s( a ) ) ), +( sum( s( a ) ), sum( s(
% 0.97/1.36 a ) ) ) ) ) ] )
% 0.97/1.36 , clause( 14, [ ~( =( +( sum( s( a ) ), sum( s( a ) ) ), times( s( a ), s(
% 0.97/1.36 s( a ) ) ) ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 722, [ ~( =( times( s( a ), s( s( a ) ) ), times( sum( s( a ) ), s(
% 0.97/1.36 one ) ) ) ) ] )
% 0.97/1.36 , clause( 69, [ =( +( X, X ), times( X, s( one ) ) ) ] )
% 0.97/1.36 , 0, clause( 721, [ ~( =( times( s( a ), s( s( a ) ) ), +( sum( s( a ) ),
% 0.97/1.36 sum( s( a ) ) ) ) ) ] )
% 0.97/1.36 , 0, 8, substitution( 0, [ :=( X, sum( s( a ) ) )] ), substitution( 1, [] )
% 0.97/1.36 ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 90, [ ~( =( times( s( a ), s( s( a ) ) ), times( sum( s( a ) ), s(
% 0.97/1.36 one ) ) ) ) ] )
% 0.97/1.36 , clause( 722, [ ~( =( times( s( a ), s( s( a ) ) ), times( sum( s( a ) ),
% 0.97/1.36 s( one ) ) ) ) ] )
% 0.97/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 724, [ =( +( +( Y, Z ), X ), +( +( X, Y ), Z ) ) ] )
% 0.97/1.36 , clause( 20, [ =( +( +( X, Y ), Z ), +( +( Y, Z ), X ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 726, [ =( +( +( Y, X ), Z ), +( +( Z, X ), Y ) ) ] )
% 0.97/1.36 , clause( 0, [ =( +( X, Y ), +( Y, X ) ) ] )
% 0.97/1.36 , 0, clause( 724, [ =( +( +( Y, Z ), X ), +( +( X, Y ), Z ) ) ] )
% 0.97/1.36 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.97/1.36 :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 171, [ =( +( +( Z, X ), Y ), +( +( Y, X ), Z ) ) ] )
% 0.97/1.36 , clause( 726, [ =( +( +( Y, X ), Z ), +( +( Z, X ), Y ) ) ] )
% 0.97/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.97/1.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 741, [ =( +( Y, sum( s( X ) ) ), s( +( +( X, sum( X ) ), Y ) ) ) ]
% 0.97/1.36 )
% 0.97/1.36 , clause( 23, [ =( s( +( +( X, sum( X ) ), Y ) ), +( Y, sum( s( X ) ) ) ) ]
% 0.97/1.36 )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 743, [ =( +( X, sum( s( Y ) ) ), s( +( +( X, sum( Y ) ), Y ) ) ) ]
% 0.97/1.36 )
% 0.97/1.36 , clause( 171, [ =( +( +( Z, X ), Y ), +( +( Y, X ), Z ) ) ] )
% 0.97/1.36 , 0, clause( 741, [ =( +( Y, sum( s( X ) ) ), s( +( +( X, sum( X ) ), Y ) )
% 0.97/1.36 ) ] )
% 0.97/1.36 , 0, 7, substitution( 0, [ :=( X, sum( Y ) ), :=( Y, X ), :=( Z, Y )] ),
% 0.97/1.36 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 760, [ =( s( +( +( X, sum( Y ) ), Y ) ), +( X, sum( s( Y ) ) ) ) ]
% 0.97/1.36 )
% 0.97/1.36 , clause( 743, [ =( +( X, sum( s( Y ) ) ), s( +( +( X, sum( Y ) ), Y ) ) )
% 0.97/1.36 ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 315, [ =( s( +( +( Y, sum( X ) ), X ) ), +( Y, sum( s( X ) ) ) ) ]
% 0.97/1.36 )
% 0.97/1.36 , clause( 760, [ =( s( +( +( X, sum( Y ) ), Y ) ), +( X, sum( s( Y ) ) ) )
% 0.97/1.36 ] )
% 0.97/1.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.97/1.36 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 763, [ =( times( s( Y ), s( X ) ), s( +( X, times( Y, s( X ) ) ) )
% 0.97/1.36 ) ] )
% 0.97/1.36 , clause( 34, [ =( s( +( X, times( Y, s( X ) ) ) ), times( s( Y ), s( X ) )
% 0.97/1.36 ) ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 767, [ =( times( s( X ), s( Y ) ), s( +( times( X, s( Y ) ), Y ) )
% 0.97/1.36 ) ] )
% 0.97/1.36 , clause( 55, [ =( s( +( X, Y ) ), s( +( Y, X ) ) ) ] )
% 0.97/1.36 , 0, clause( 763, [ =( times( s( Y ), s( X ) ), s( +( X, times( Y, s( X ) )
% 0.97/1.36 ) ) ) ] )
% 0.97/1.36 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, times( X, s( Y ) ) )] ),
% 0.97/1.36 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 783, [ =( s( +( times( X, s( Y ) ), Y ) ), times( s( X ), s( Y ) )
% 0.97/1.36 ) ] )
% 0.97/1.36 , clause( 767, [ =( times( s( X ), s( Y ) ), s( +( times( X, s( Y ) ), Y )
% 0.97/1.36 ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 409, [ =( s( +( times( Y, s( X ) ), X ) ), times( s( Y ), s( X ) )
% 0.97/1.36 ) ] )
% 0.97/1.36 , clause( 783, [ =( s( +( times( X, s( Y ) ), Y ) ), times( s( X ), s( Y )
% 0.97/1.36 ) ) ] )
% 0.97/1.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.97/1.36 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 785, [ =( +( Y, sum( s( X ) ) ), s( +( +( X, sum( X ) ), Y ) ) ) ]
% 0.97/1.36 )
% 0.97/1.36 , clause( 23, [ =( s( +( +( X, sum( X ) ), Y ) ), +( Y, sum( s( X ) ) ) ) ]
% 0.97/1.36 )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 787, [ =( +( sum( a ), sum( s( a ) ) ), s( +( a, times( a, s( a ) )
% 0.97/1.36 ) ) ) ] )
% 0.97/1.36 , clause( 79, [ =( +( +( X, sum( a ) ), sum( a ) ), +( X, times( a, s( a )
% 0.97/1.36 ) ) ) ] )
% 0.97/1.36 , 0, clause( 785, [ =( +( Y, sum( s( X ) ) ), s( +( +( X, sum( X ) ), Y ) )
% 0.97/1.36 ) ] )
% 0.97/1.36 , 0, 8, substitution( 0, [ :=( X, a )] ), substitution( 1, [ :=( X, a ),
% 0.97/1.36 :=( Y, sum( a ) )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 788, [ =( +( sum( a ), sum( s( a ) ) ), times( s( a ), s( a ) ) ) ]
% 0.97/1.36 )
% 0.97/1.36 , clause( 34, [ =( s( +( X, times( Y, s( X ) ) ) ), times( s( Y ), s( X ) )
% 0.97/1.36 ) ] )
% 0.97/1.36 , 0, clause( 787, [ =( +( sum( a ), sum( s( a ) ) ), s( +( a, times( a, s(
% 0.97/1.36 a ) ) ) ) ) ] )
% 0.97/1.36 , 0, 7, substitution( 0, [ :=( X, a ), :=( Y, a )] ), substitution( 1, [] )
% 0.97/1.36 ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 508, [ =( +( sum( a ), sum( s( a ) ) ), times( s( a ), s( a ) ) ) ]
% 0.97/1.36 )
% 0.97/1.36 , clause( 788, [ =( +( sum( a ), sum( s( a ) ) ), times( s( a ), s( a ) ) )
% 0.97/1.36 ] )
% 0.97/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 790, [ =( times( s( a ), s( a ) ), +( sum( a ), sum( s( a ) ) ) ) ]
% 0.97/1.36 )
% 0.97/1.36 , clause( 508, [ =( +( sum( a ), sum( s( a ) ) ), times( s( a ), s( a ) ) )
% 0.97/1.36 ] )
% 0.97/1.36 , 0, substitution( 0, [] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 791, [ =( times( s( a ), s( a ) ), +( sum( s( a ) ), sum( a ) ) ) ]
% 0.97/1.36 )
% 0.97/1.36 , clause( 0, [ =( +( X, Y ), +( Y, X ) ) ] )
% 0.97/1.36 , 0, clause( 790, [ =( times( s( a ), s( a ) ), +( sum( a ), sum( s( a ) )
% 0.97/1.36 ) ) ] )
% 0.97/1.36 , 0, 6, substitution( 0, [ :=( X, sum( a ) ), :=( Y, sum( s( a ) ) )] ),
% 0.97/1.36 substitution( 1, [] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 794, [ =( +( sum( s( a ) ), sum( a ) ), times( s( a ), s( a ) ) ) ]
% 0.97/1.36 )
% 0.97/1.36 , clause( 791, [ =( times( s( a ), s( a ) ), +( sum( s( a ) ), sum( a ) ) )
% 0.97/1.36 ] )
% 0.97/1.36 , 0, substitution( 0, [] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 510, [ =( +( sum( s( a ) ), sum( a ) ), times( s( a ), s( a ) ) ) ]
% 0.97/1.36 )
% 0.97/1.36 , clause( 794, [ =( +( sum( s( a ) ), sum( a ) ), times( s( a ), s( a ) ) )
% 0.97/1.36 ] )
% 0.97/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 795, [ ~( =( times( sum( s( a ) ), s( one ) ), times( s( a ), s( s(
% 0.97/1.36 a ) ) ) ) ) ] )
% 0.97/1.36 , clause( 90, [ ~( =( times( s( a ), s( s( a ) ) ), times( sum( s( a ) ), s(
% 0.97/1.36 one ) ) ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 797, [ ~( =( times( sum( s( a ) ), s( one ) ), times( s( s( a ) ),
% 0.97/1.36 s( a ) ) ) ) ] )
% 0.97/1.36 , clause( 2, [ =( times( X, Y ), times( Y, X ) ) ] )
% 0.97/1.36 , 0, clause( 795, [ ~( =( times( sum( s( a ) ), s( one ) ), times( s( a ),
% 0.97/1.36 s( s( a ) ) ) ) ) ] )
% 0.97/1.36 , 0, 8, substitution( 0, [ :=( X, s( a ) ), :=( Y, s( s( a ) ) )] ),
% 0.97/1.36 substitution( 1, [] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 803, [ ~( =( times( s( s( a ) ), s( a ) ), times( sum( s( a ) ), s(
% 0.97/1.36 one ) ) ) ) ] )
% 0.97/1.36 , clause( 797, [ ~( =( times( sum( s( a ) ), s( one ) ), times( s( s( a ) )
% 0.97/1.36 , s( a ) ) ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 531, [ ~( =( times( s( s( a ) ), s( a ) ), times( sum( s( a ) ), s(
% 0.97/1.36 one ) ) ) ) ] )
% 0.97/1.36 , clause( 803, [ ~( =( times( s( s( a ) ), s( a ) ), times( sum( s( a ) ),
% 0.97/1.36 s( one ) ) ) ) ] )
% 0.97/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 805, [ =( +( X, sum( s( Y ) ) ), s( +( +( X, sum( Y ) ), Y ) ) ) ]
% 0.97/1.36 )
% 0.97/1.36 , clause( 315, [ =( s( +( +( Y, sum( X ) ), X ) ), +( Y, sum( s( X ) ) ) )
% 0.97/1.36 ] )
% 0.97/1.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 807, [ =( +( sum( s( a ) ), sum( s( a ) ) ), s( +( times( s( a ), s(
% 0.97/1.36 a ) ), a ) ) ) ] )
% 0.97/1.36 , clause( 510, [ =( +( sum( s( a ) ), sum( a ) ), times( s( a ), s( a ) ) )
% 0.97/1.36 ] )
% 0.97/1.36 , 0, clause( 805, [ =( +( X, sum( s( Y ) ) ), s( +( +( X, sum( Y ) ), Y ) )
% 0.97/1.36 ) ] )
% 0.97/1.36 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, sum( s( a ) ) ),
% 0.97/1.36 :=( Y, a )] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 808, [ =( +( sum( s( a ) ), sum( s( a ) ) ), times( s( s( a ) ), s(
% 0.97/1.36 a ) ) ) ] )
% 0.97/1.36 , clause( 409, [ =( s( +( times( Y, s( X ) ), X ) ), times( s( Y ), s( X )
% 0.97/1.36 ) ) ] )
% 0.97/1.36 , 0, clause( 807, [ =( +( sum( s( a ) ), sum( s( a ) ) ), s( +( times( s( a
% 0.97/1.36 ), s( a ) ), a ) ) ) ] )
% 0.97/1.36 , 0, 8, substitution( 0, [ :=( X, a ), :=( Y, s( a ) )] ), substitution( 1
% 0.97/1.36 , [] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 532, [ =( +( sum( s( a ) ), sum( s( a ) ) ), times( s( s( a ) ), s(
% 0.97/1.36 a ) ) ) ] )
% 0.97/1.36 , clause( 808, [ =( +( sum( s( a ) ), sum( s( a ) ) ), times( s( s( a ) ),
% 0.97/1.36 s( a ) ) ) ] )
% 0.97/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 eqswap(
% 0.97/1.36 clause( 810, [ =( times( s( s( a ) ), s( a ) ), +( sum( s( a ) ), sum( s( a
% 0.97/1.36 ) ) ) ) ] )
% 0.97/1.36 , clause( 532, [ =( +( sum( s( a ) ), sum( s( a ) ) ), times( s( s( a ) ),
% 0.97/1.36 s( a ) ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 paramod(
% 0.97/1.36 clause( 812, [ =( times( s( s( a ) ), s( a ) ), times( sum( s( a ) ), s(
% 0.97/1.36 one ) ) ) ] )
% 0.97/1.36 , clause( 69, [ =( +( X, X ), times( X, s( one ) ) ) ] )
% 0.97/1.36 , 0, clause( 810, [ =( times( s( s( a ) ), s( a ) ), +( sum( s( a ) ), sum(
% 0.97/1.36 s( a ) ) ) ) ] )
% 0.97/1.36 , 0, 7, substitution( 0, [ :=( X, sum( s( a ) ) )] ), substitution( 1, [] )
% 0.97/1.36 ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 548, [ =( times( s( s( a ) ), s( a ) ), times( sum( s( a ) ), s(
% 0.97/1.36 one ) ) ) ] )
% 0.97/1.36 , clause( 812, [ =( times( s( s( a ) ), s( a ) ), times( sum( s( a ) ), s(
% 0.97/1.36 one ) ) ) ] )
% 0.97/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 resolution(
% 0.97/1.36 clause( 816, [] )
% 0.97/1.36 , clause( 531, [ ~( =( times( s( s( a ) ), s( a ) ), times( sum( s( a ) ),
% 0.97/1.36 s( one ) ) ) ) ] )
% 0.97/1.36 , 0, clause( 548, [ =( times( s( s( a ) ), s( a ) ), times( sum( s( a ) ),
% 0.97/1.36 s( one ) ) ) ] )
% 0.97/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 subsumption(
% 0.97/1.36 clause( 549, [] )
% 0.97/1.36 , clause( 816, [] )
% 0.97/1.36 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 end.
% 0.97/1.36
% 0.97/1.36 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.97/1.36
% 0.97/1.36 Memory use:
% 0.97/1.36
% 0.97/1.36 space for terms: 7840
% 0.97/1.36 space for clauses: 53632
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 clauses generated: 52114
% 0.97/1.36 clauses kept: 550
% 0.97/1.36 clauses selected: 220
% 0.97/1.36 clauses deleted: 17
% 0.97/1.36 clauses inuse deleted: 0
% 0.97/1.36
% 0.97/1.36 subsentry: 12986
% 0.97/1.36 literals s-matched: 11295
% 0.97/1.36 literals matched: 11016
% 0.97/1.36 full subsumption: 0
% 0.97/1.36
% 0.97/1.36 checksum: -1176714967
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 Bliksem ended
%------------------------------------------------------------------------------