TSTP Solution File: COL001-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL001-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 : Fri Jul 15 00:12:18 EDT 2022
% Result : Unsatisfiable 0.74s 1.16s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Tue May 31 10:49:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.74/1.16 *** allocated 10000 integers for termspace/termends
% 0.74/1.16 *** allocated 10000 integers for clauses
% 0.74/1.16 *** allocated 10000 integers for justifications
% 0.74/1.16 Bliksem 1.12
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 Automatic Strategy Selection
% 0.74/1.16
% 0.74/1.16 Clauses:
% 0.74/1.16 [
% 0.74/1.16 [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z ), apply(
% 0.74/1.16 Y, Z ) ) ) ],
% 0.74/1.16 [ =( apply( apply( k, X ), Y ), X ) ],
% 0.74/1.16 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.74/1.16 ],
% 0.74/1.16 [ =( apply( i, X ), X ) ],
% 0.74/1.16 [ =( apply( apply( apply( s, apply( b, X ) ), i ), apply( apply( s,
% 0.74/1.16 apply( b, X ) ), i ) ), apply( x, apply( apply( apply( s, apply( b, X ) )
% 0.74/1.16 , i ), apply( apply( s, apply( b, X ) ), i ) ) ) ) ],
% 0.74/1.16 [ ~( =( X, apply( combinator, X ) ) ) ]
% 0.74/1.16 ] .
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 percentage equality = 1.000000, percentage horn = 1.000000
% 0.74/1.16 This is a pure equality problem
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 Options Used:
% 0.74/1.16
% 0.74/1.16 useres = 1
% 0.74/1.16 useparamod = 1
% 0.74/1.16 useeqrefl = 1
% 0.74/1.16 useeqfact = 1
% 0.74/1.16 usefactor = 1
% 0.74/1.16 usesimpsplitting = 0
% 0.74/1.16 usesimpdemod = 5
% 0.74/1.16 usesimpres = 3
% 0.74/1.16
% 0.74/1.16 resimpinuse = 1000
% 0.74/1.16 resimpclauses = 20000
% 0.74/1.16 substype = eqrewr
% 0.74/1.16 backwardsubs = 1
% 0.74/1.16 selectoldest = 5
% 0.74/1.16
% 0.74/1.16 litorderings [0] = split
% 0.74/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.74/1.16
% 0.74/1.16 termordering = kbo
% 0.74/1.16
% 0.74/1.16 litapriori = 0
% 0.74/1.16 termapriori = 1
% 0.74/1.16 litaposteriori = 0
% 0.74/1.16 termaposteriori = 0
% 0.74/1.16 demodaposteriori = 0
% 0.74/1.16 ordereqreflfact = 0
% 0.74/1.16
% 0.74/1.16 litselect = negord
% 0.74/1.16
% 0.74/1.16 maxweight = 15
% 0.74/1.16 maxdepth = 30000
% 0.74/1.16 maxlength = 115
% 0.74/1.16 maxnrvars = 195
% 0.74/1.16 excuselevel = 1
% 0.74/1.16 increasemaxweight = 1
% 0.74/1.16
% 0.74/1.16 maxselected = 10000000
% 0.74/1.16 maxnrclauses = 10000000
% 0.74/1.16
% 0.74/1.16 showgenerated = 0
% 0.74/1.16 showkept = 0
% 0.74/1.16 showselected = 0
% 0.74/1.16 showdeleted = 0
% 0.74/1.16 showresimp = 1
% 0.74/1.16 showstatus = 2000
% 0.74/1.16
% 0.74/1.16 prologoutput = 1
% 0.74/1.16 nrgoals = 5000000
% 0.74/1.16 totalproof = 1
% 0.74/1.16
% 0.74/1.16 Symbols occurring in the translation:
% 0.74/1.16
% 0.74/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.16 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.74/1.16 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.74/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.16 s [39, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.74/1.16 apply [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.74/1.16 k [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.74/1.16 b [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.74/1.16 i [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.74/1.16 x [47, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.74/1.16 combinator [48, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 Starting Search:
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 Bliksems!, er is een bewijs:
% 0.74/1.16 % SZS status Unsatisfiable
% 0.74/1.16 % SZS output start Refutation
% 0.74/1.16
% 0.74/1.16 clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z )
% 0.74/1.16 , apply( Y, Z ) ) ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 1, [ =( apply( apply( k, X ), Y ), X ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 2, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.74/1.16 Z ) ) ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 3, [ =( apply( i, X ), X ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 4, [ =( apply( x, apply( apply( apply( s, apply( b, X ) ), i ),
% 0.74/1.16 apply( apply( s, apply( b, X ) ), i ) ) ), apply( apply( apply( s, apply(
% 0.74/1.16 b, X ) ), i ), apply( apply( s, apply( b, X ) ), i ) ) ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 5, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 12, [ =( apply( apply( apply( s, apply( b, X ) ), Z ), Y ), apply(
% 0.74/1.16 X, apply( Y, apply( Z, Y ) ) ) ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 20, [ =( apply( apply( apply( s, Y ), i ), X ), apply( apply( Y, X
% 0.74/1.16 ), X ) ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 91, [ =( apply( apply( apply( s, apply( b, apply( k, X ) ) ), Z ),
% 0.74/1.16 Y ), X ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 95, [ ~( =( apply( apply( apply( s, apply( b, combinator ) ), Y ),
% 0.74/1.16 X ), apply( X, apply( Y, X ) ) ) ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 109, [ =( apply( x, X ), X ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 122, [ =( apply( apply( apply( s, Y ), x ), X ), apply( apply( Y, X
% 0.74/1.16 ), X ) ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 181, [ =( apply( apply( apply( s, X ), x ), Y ), apply( apply(
% 0.74/1.16 apply( s, X ), i ), Y ) ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 259, [ ~( =( apply( apply( apply( s, apply( b, combinator ) ), i )
% 0.74/1.16 , X ), apply( X, X ) ) ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 260, [] )
% 0.74/1.16 .
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 % SZS output end Refutation
% 0.74/1.16 found a proof!
% 0.74/1.16
% 0.74/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.16
% 0.74/1.16 initialclauses(
% 0.74/1.16 [ clause( 262, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X
% 0.74/1.16 , Z ), apply( Y, Z ) ) ) ] )
% 0.74/1.16 , clause( 263, [ =( apply( apply( k, X ), Y ), X ) ] )
% 0.74/1.16 , clause( 264, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.74/1.16 Y, Z ) ) ) ] )
% 0.74/1.16 , clause( 265, [ =( apply( i, X ), X ) ] )
% 0.74/1.16 , clause( 266, [ =( apply( apply( apply( s, apply( b, X ) ), i ), apply(
% 0.74/1.16 apply( s, apply( b, X ) ), i ) ), apply( x, apply( apply( apply( s, apply(
% 0.74/1.16 b, X ) ), i ), apply( apply( s, apply( b, X ) ), i ) ) ) ) ] )
% 0.74/1.16 , clause( 267, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.74/1.16 ] ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z )
% 0.74/1.16 , apply( Y, Z ) ) ) ] )
% 0.74/1.16 , clause( 262, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X
% 0.74/1.16 , Z ), apply( Y, Z ) ) ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 1, [ =( apply( apply( k, X ), Y ), X ) ] )
% 0.74/1.16 , clause( 263, [ =( apply( apply( k, X ), Y ), X ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.16 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 2, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.74/1.16 Z ) ) ) ] )
% 0.74/1.16 , clause( 264, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.74/1.16 Y, Z ) ) ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 3, [ =( apply( i, X ), X ) ] )
% 0.74/1.16 , clause( 265, [ =( apply( i, X ), X ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 282, [ =( apply( x, apply( apply( apply( s, apply( b, X ) ), i ),
% 0.74/1.16 apply( apply( s, apply( b, X ) ), i ) ) ), apply( apply( apply( s, apply(
% 0.74/1.16 b, X ) ), i ), apply( apply( s, apply( b, X ) ), i ) ) ) ] )
% 0.74/1.16 , clause( 266, [ =( apply( apply( apply( s, apply( b, X ) ), i ), apply(
% 0.74/1.16 apply( s, apply( b, X ) ), i ) ), apply( x, apply( apply( apply( s, apply(
% 0.74/1.16 b, X ) ), i ), apply( apply( s, apply( b, X ) ), i ) ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 4, [ =( apply( x, apply( apply( apply( s, apply( b, X ) ), i ),
% 0.74/1.16 apply( apply( s, apply( b, X ) ), i ) ) ), apply( apply( apply( s, apply(
% 0.74/1.16 b, X ) ), i ), apply( apply( s, apply( b, X ) ), i ) ) ) ] )
% 0.74/1.16 , clause( 282, [ =( apply( x, apply( apply( apply( s, apply( b, X ) ), i )
% 0.74/1.16 , apply( apply( s, apply( b, X ) ), i ) ) ), apply( apply( apply( s,
% 0.74/1.16 apply( b, X ) ), i ), apply( apply( s, apply( b, X ) ), i ) ) ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 288, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.74/1.16 , clause( 267, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 5, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.74/1.16 , clause( 288, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 289, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 0.74/1.16 apply( s, X ), Y ), Z ) ) ] )
% 0.74/1.16 , clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z
% 0.74/1.16 ), apply( Y, Z ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 290, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.74/1.16 ), Z ) ) ] )
% 0.74/1.16 , clause( 2, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.74/1.16 , Z ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 293, [ =( apply( X, apply( Y, apply( Z, Y ) ) ), apply( apply(
% 0.74/1.16 apply( s, apply( b, X ) ), Z ), Y ) ) ] )
% 0.74/1.16 , clause( 289, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 0.74/1.16 apply( s, X ), Y ), Z ) ) ] )
% 0.74/1.16 , 0, clause( 290, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.74/1.16 ), Y ), Z ) ) ] )
% 0.74/1.16 , 0, 8, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, Z ), :=( Z, Y )] )
% 0.74/1.16 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, apply( Z, Y ) )] )
% 0.74/1.16 ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 297, [ =( apply( apply( apply( s, apply( b, X ) ), Z ), Y ), apply(
% 0.74/1.16 X, apply( Y, apply( Z, Y ) ) ) ) ] )
% 0.74/1.16 , clause( 293, [ =( apply( X, apply( Y, apply( Z, Y ) ) ), apply( apply(
% 0.74/1.16 apply( s, apply( b, X ) ), Z ), Y ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 12, [ =( apply( apply( apply( s, apply( b, X ) ), Z ), Y ), apply(
% 0.74/1.16 X, apply( Y, apply( Z, Y ) ) ) ) ] )
% 0.74/1.16 , clause( 297, [ =( apply( apply( apply( s, apply( b, X ) ), Z ), Y ),
% 0.74/1.16 apply( X, apply( Y, apply( Z, Y ) ) ) ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 300, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 0.74/1.16 apply( s, X ), Y ), Z ) ) ] )
% 0.74/1.16 , clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z
% 0.74/1.16 ), apply( Y, Z ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 302, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, X ), i
% 0.74/1.16 ), Y ) ) ] )
% 0.74/1.16 , clause( 3, [ =( apply( i, X ), X ) ] )
% 0.74/1.16 , 0, clause( 300, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 0.74/1.16 apply( s, X ), Y ), Z ) ) ] )
% 0.74/1.16 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.74/1.16 :=( Y, i ), :=( Z, Y )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 304, [ =( apply( apply( apply( s, X ), i ), Y ), apply( apply( X, Y
% 0.74/1.16 ), Y ) ) ] )
% 0.74/1.16 , clause( 302, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, X )
% 0.74/1.16 , i ), Y ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 20, [ =( apply( apply( apply( s, Y ), i ), X ), apply( apply( Y, X
% 0.74/1.16 ), X ) ) ] )
% 0.74/1.16 , clause( 304, [ =( apply( apply( apply( s, X ), i ), Y ), apply( apply( X
% 0.74/1.16 , Y ), Y ) ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.16 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 305, [ =( apply( X, apply( Z, apply( Y, Z ) ) ), apply( apply(
% 0.74/1.16 apply( s, apply( b, X ) ), Y ), Z ) ) ] )
% 0.74/1.16 , clause( 12, [ =( apply( apply( apply( s, apply( b, X ) ), Z ), Y ), apply(
% 0.74/1.16 X, apply( Y, apply( Z, Y ) ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 306, [ =( X, apply( apply( k, X ), Y ) ) ] )
% 0.74/1.16 , clause( 1, [ =( apply( apply( k, X ), Y ), X ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 307, [ =( X, apply( apply( apply( s, apply( b, apply( k, X ) ) ), Z
% 0.74/1.16 ), Y ) ) ] )
% 0.74/1.16 , clause( 305, [ =( apply( X, apply( Z, apply( Y, Z ) ) ), apply( apply(
% 0.74/1.16 apply( s, apply( b, X ) ), Y ), Z ) ) ] )
% 0.74/1.16 , 0, clause( 306, [ =( X, apply( apply( k, X ), Y ) ) ] )
% 0.74/1.16 , 0, 2, substitution( 0, [ :=( X, apply( k, X ) ), :=( Y, Z ), :=( Z, Y )] )
% 0.74/1.16 , substitution( 1, [ :=( X, X ), :=( Y, apply( Y, apply( Z, Y ) ) )] )
% 0.74/1.16 ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 309, [ =( apply( apply( apply( s, apply( b, apply( k, X ) ) ), Y )
% 0.74/1.16 , Z ), X ) ] )
% 0.74/1.16 , clause( 307, [ =( X, apply( apply( apply( s, apply( b, apply( k, X ) ) )
% 0.74/1.16 , Z ), Y ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 91, [ =( apply( apply( apply( s, apply( b, apply( k, X ) ) ), Z ),
% 0.74/1.16 Y ), X ) ] )
% 0.74/1.16 , clause( 309, [ =( apply( apply( apply( s, apply( b, apply( k, X ) ) ), Y
% 0.74/1.16 ), Z ), X ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.74/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 311, [ =( apply( X, apply( Z, apply( Y, Z ) ) ), apply( apply(
% 0.74/1.16 apply( s, apply( b, X ) ), Y ), Z ) ) ] )
% 0.74/1.16 , clause( 12, [ =( apply( apply( apply( s, apply( b, X ) ), Z ), Y ), apply(
% 0.74/1.16 X, apply( Y, apply( Z, Y ) ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 312, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.74/1.16 , clause( 5, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 313, [ ~( =( apply( X, apply( Y, X ) ), apply( apply( apply( s,
% 0.74/1.16 apply( b, combinator ) ), Y ), X ) ) ) ] )
% 0.74/1.16 , clause( 311, [ =( apply( X, apply( Z, apply( Y, Z ) ) ), apply( apply(
% 0.74/1.16 apply( s, apply( b, X ) ), Y ), Z ) ) ] )
% 0.74/1.16 , 0, clause( 312, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.74/1.16 , 0, 7, substitution( 0, [ :=( X, combinator ), :=( Y, Y ), :=( Z, X )] ),
% 0.74/1.16 substitution( 1, [ :=( X, apply( X, apply( Y, X ) ) )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 314, [ ~( =( apply( apply( apply( s, apply( b, combinator ) ), Y )
% 0.74/1.16 , X ), apply( X, apply( Y, X ) ) ) ) ] )
% 0.74/1.16 , clause( 313, [ ~( =( apply( X, apply( Y, X ) ), apply( apply( apply( s,
% 0.74/1.16 apply( b, combinator ) ), Y ), X ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 95, [ ~( =( apply( apply( apply( s, apply( b, combinator ) ), Y ),
% 0.74/1.16 X ), apply( X, apply( Y, X ) ) ) ) ] )
% 0.74/1.16 , clause( 314, [ ~( =( apply( apply( apply( s, apply( b, combinator ) ), Y
% 0.74/1.16 ), X ), apply( X, apply( Y, X ) ) ) ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.16 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 316, [ =( apply( apply( apply( s, apply( b, X ) ), i ), apply(
% 0.74/1.16 apply( s, apply( b, X ) ), i ) ), apply( x, apply( apply( apply( s, apply(
% 0.74/1.16 b, X ) ), i ), apply( apply( s, apply( b, X ) ), i ) ) ) ) ] )
% 0.74/1.16 , clause( 4, [ =( apply( x, apply( apply( apply( s, apply( b, X ) ), i ),
% 0.74/1.16 apply( apply( s, apply( b, X ) ), i ) ) ), apply( apply( apply( s, apply(
% 0.74/1.16 b, X ) ), i ), apply( apply( s, apply( b, X ) ), i ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 318, [ =( apply( apply( apply( s, apply( b, apply( k, X ) ) ), i )
% 0.74/1.16 , apply( apply( s, apply( b, apply( k, X ) ) ), i ) ), apply( x, X ) ) ]
% 0.74/1.16 )
% 0.74/1.16 , clause( 91, [ =( apply( apply( apply( s, apply( b, apply( k, X ) ) ), Z )
% 0.74/1.16 , Y ), X ) ] )
% 0.74/1.16 , 0, clause( 316, [ =( apply( apply( apply( s, apply( b, X ) ), i ), apply(
% 0.74/1.16 apply( s, apply( b, X ) ), i ) ), apply( x, apply( apply( apply( s, apply(
% 0.74/1.16 b, X ) ), i ), apply( apply( s, apply( b, X ) ), i ) ) ) ) ] )
% 0.74/1.16 , 0, 22, substitution( 0, [ :=( X, X ), :=( Y, apply( apply( s, apply( b,
% 0.74/1.16 apply( k, X ) ) ), i ) ), :=( Z, i )] ), substitution( 1, [ :=( X, apply(
% 0.74/1.16 k, X ) )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 319, [ =( X, apply( x, X ) ) ] )
% 0.74/1.16 , clause( 91, [ =( apply( apply( apply( s, apply( b, apply( k, X ) ) ), Z )
% 0.74/1.16 , Y ), X ) ] )
% 0.74/1.16 , 0, clause( 318, [ =( apply( apply( apply( s, apply( b, apply( k, X ) ) )
% 0.74/1.16 , i ), apply( apply( s, apply( b, apply( k, X ) ) ), i ) ), apply( x, X )
% 0.74/1.16 ) ] )
% 0.74/1.16 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, apply( apply( s, apply( b,
% 0.74/1.16 apply( k, X ) ) ), i ) ), :=( Z, i )] ), substitution( 1, [ :=( X, X )] )
% 0.74/1.16 ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 321, [ =( apply( x, X ), X ) ] )
% 0.74/1.16 , clause( 319, [ =( X, apply( x, X ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 109, [ =( apply( x, X ), X ) ] )
% 0.74/1.16 , clause( 321, [ =( apply( x, X ), X ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 324, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 0.74/1.16 apply( s, X ), Y ), Z ) ) ] )
% 0.74/1.16 , clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z
% 0.74/1.16 ), apply( Y, Z ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 326, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, X ), x
% 0.74/1.16 ), Y ) ) ] )
% 0.74/1.16 , clause( 109, [ =( apply( x, X ), X ) ] )
% 0.74/1.16 , 0, clause( 324, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 0.74/1.16 apply( s, X ), Y ), Z ) ) ] )
% 0.74/1.16 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.74/1.16 :=( Y, x ), :=( Z, Y )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 328, [ =( apply( apply( apply( s, X ), x ), Y ), apply( apply( X, Y
% 0.74/1.16 ), Y ) ) ] )
% 0.74/1.16 , clause( 326, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, X )
% 0.74/1.16 , x ), Y ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 122, [ =( apply( apply( apply( s, Y ), x ), X ), apply( apply( Y, X
% 0.74/1.16 ), X ) ) ] )
% 0.74/1.16 , clause( 328, [ =( apply( apply( apply( s, X ), x ), Y ), apply( apply( X
% 0.74/1.16 , Y ), Y ) ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.16 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 329, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, X ), x
% 0.74/1.16 ), Y ) ) ] )
% 0.74/1.16 , clause( 122, [ =( apply( apply( apply( s, Y ), x ), X ), apply( apply( Y
% 0.74/1.16 , X ), X ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 330, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, X ), i
% 0.74/1.16 ), Y ) ) ] )
% 0.74/1.16 , clause( 20, [ =( apply( apply( apply( s, Y ), i ), X ), apply( apply( Y,
% 0.74/1.16 X ), X ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 331, [ =( apply( apply( apply( s, X ), x ), Y ), apply( apply(
% 0.74/1.16 apply( s, X ), i ), Y ) ) ] )
% 0.74/1.16 , clause( 329, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, X )
% 0.74/1.16 , x ), Y ) ) ] )
% 0.74/1.16 , 0, clause( 330, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, X
% 0.74/1.16 ), i ), Y ) ) ] )
% 0.74/1.16 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.74/1.16 :=( X, X ), :=( Y, Y )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 181, [ =( apply( apply( apply( s, X ), x ), Y ), apply( apply(
% 0.74/1.16 apply( s, X ), i ), Y ) ) ] )
% 0.74/1.16 , clause( 331, [ =( apply( apply( apply( s, X ), x ), Y ), apply( apply(
% 0.74/1.16 apply( s, X ), i ), Y ) ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.16 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 346, [ ~( =( apply( Y, apply( X, Y ) ), apply( apply( apply( s,
% 0.74/1.16 apply( b, combinator ) ), X ), Y ) ) ) ] )
% 0.74/1.16 , clause( 95, [ ~( =( apply( apply( apply( s, apply( b, combinator ) ), Y )
% 0.74/1.16 , X ), apply( X, apply( Y, X ) ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 350, [ ~( =( apply( X, apply( x, X ) ), apply( apply( apply( s,
% 0.74/1.16 apply( b, combinator ) ), i ), X ) ) ) ] )
% 0.74/1.16 , clause( 181, [ =( apply( apply( apply( s, X ), x ), Y ), apply( apply(
% 0.74/1.16 apply( s, X ), i ), Y ) ) ] )
% 0.74/1.16 , 0, clause( 346, [ ~( =( apply( Y, apply( X, Y ) ), apply( apply( apply( s
% 0.74/1.16 , apply( b, combinator ) ), X ), Y ) ) ) ] )
% 0.74/1.16 , 0, 7, substitution( 0, [ :=( X, apply( b, combinator ) ), :=( Y, X )] ),
% 0.74/1.16 substitution( 1, [ :=( X, x ), :=( Y, X )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 351, [ ~( =( apply( X, X ), apply( apply( apply( s, apply( b,
% 0.74/1.16 combinator ) ), i ), X ) ) ) ] )
% 0.74/1.16 , clause( 109, [ =( apply( x, X ), X ) ] )
% 0.74/1.16 , 0, clause( 350, [ ~( =( apply( X, apply( x, X ) ), apply( apply( apply( s
% 0.74/1.16 , apply( b, combinator ) ), i ), X ) ) ) ] )
% 0.74/1.16 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.74/1.16 ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 352, [ ~( =( apply( apply( apply( s, apply( b, combinator ) ), i )
% 0.74/1.16 , X ), apply( X, X ) ) ) ] )
% 0.74/1.16 , clause( 351, [ ~( =( apply( X, X ), apply( apply( apply( s, apply( b,
% 0.74/1.16 combinator ) ), i ), X ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 259, [ ~( =( apply( apply( apply( s, apply( b, combinator ) ), i )
% 0.74/1.16 , X ), apply( X, X ) ) ) ] )
% 0.74/1.16 , clause( 352, [ ~( =( apply( apply( apply( s, apply( b, combinator ) ), i
% 0.74/1.16 ), X ), apply( X, X ) ) ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 353, [ ~( =( apply( X, X ), apply( apply( apply( s, apply( b,
% 0.74/1.16 combinator ) ), i ), X ) ) ) ] )
% 0.74/1.16 , clause( 259, [ ~( =( apply( apply( apply( s, apply( b, combinator ) ), i
% 0.74/1.16 ), X ), apply( X, X ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqrefl(
% 0.74/1.16 clause( 354, [] )
% 0.74/1.16 , clause( 353, [ ~( =( apply( X, X ), apply( apply( apply( s, apply( b,
% 0.74/1.16 combinator ) ), i ), X ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, apply( apply( s, apply( b, combinator ) ), i
% 0.74/1.16 ) )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 260, [] )
% 0.74/1.16 , clause( 354, [] )
% 0.74/1.16 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 end.
% 0.74/1.16
% 0.74/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.16
% 0.74/1.16 Memory use:
% 0.74/1.16
% 0.74/1.16 space for terms: 4082
% 0.74/1.16 space for clauses: 27643
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 clauses generated: 11099
% 0.74/1.16 clauses kept: 261
% 0.74/1.16 clauses selected: 103
% 0.74/1.16 clauses deleted: 25
% 0.74/1.16 clauses inuse deleted: 0
% 0.74/1.16
% 0.74/1.16 subsentry: 707
% 0.74/1.16 literals s-matched: 398
% 0.74/1.16 literals matched: 394
% 0.74/1.16 full subsumption: 0
% 0.74/1.16
% 0.74/1.16 checksum: -1288405416
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 Bliksem ended
%------------------------------------------------------------------------------