TSTP Solution File: COL001-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 0.72s 1.17s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n018.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 15:54:28 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.72/1.17 *** allocated 10000 integers for termspace/termends
% 0.72/1.17 *** allocated 10000 integers for clauses
% 0.72/1.17 *** allocated 10000 integers for justifications
% 0.72/1.17 Bliksem 1.12
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 Automatic Strategy Selection
% 0.72/1.17
% 0.72/1.17 Clauses:
% 0.72/1.17 [
% 0.72/1.17 [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z ), apply(
% 0.72/1.17 Y, Z ) ) ) ],
% 0.72/1.17 [ =( apply( apply( k, X ), Y ), X ) ],
% 0.72/1.17 [ ~( =( X, apply( combinator, X ) ) ) ]
% 0.72/1.17 ] .
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 percentage equality = 1.000000, percentage horn = 1.000000
% 0.72/1.17 This is a pure equality problem
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 Options Used:
% 0.72/1.17
% 0.72/1.17 useres = 1
% 0.72/1.17 useparamod = 1
% 0.72/1.17 useeqrefl = 1
% 0.72/1.17 useeqfact = 1
% 0.72/1.17 usefactor = 1
% 0.72/1.17 usesimpsplitting = 0
% 0.72/1.17 usesimpdemod = 5
% 0.72/1.17 usesimpres = 3
% 0.72/1.17
% 0.72/1.17 resimpinuse = 1000
% 0.72/1.17 resimpclauses = 20000
% 0.72/1.17 substype = eqrewr
% 0.72/1.17 backwardsubs = 1
% 0.72/1.17 selectoldest = 5
% 0.72/1.17
% 0.72/1.17 litorderings [0] = split
% 0.72/1.17 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.17
% 0.72/1.17 termordering = kbo
% 0.72/1.17
% 0.72/1.17 litapriori = 0
% 0.72/1.17 termapriori = 1
% 0.72/1.17 litaposteriori = 0
% 0.72/1.17 termaposteriori = 0
% 0.72/1.17 demodaposteriori = 0
% 0.72/1.17 ordereqreflfact = 0
% 0.72/1.17
% 0.72/1.17 litselect = negord
% 0.72/1.17
% 0.72/1.17 maxweight = 15
% 0.72/1.17 maxdepth = 30000
% 0.72/1.17 maxlength = 115
% 0.72/1.17 maxnrvars = 195
% 0.72/1.17 excuselevel = 1
% 0.72/1.17 increasemaxweight = 1
% 0.72/1.17
% 0.72/1.17 maxselected = 10000000
% 0.72/1.17 maxnrclauses = 10000000
% 0.72/1.17
% 0.72/1.17 showgenerated = 0
% 0.72/1.17 showkept = 0
% 0.72/1.17 showselected = 0
% 0.72/1.17 showdeleted = 0
% 0.72/1.17 showresimp = 1
% 0.72/1.17 showstatus = 2000
% 0.72/1.17
% 0.72/1.17 prologoutput = 1
% 0.72/1.17 nrgoals = 5000000
% 0.72/1.17 totalproof = 1
% 0.72/1.17
% 0.72/1.17 Symbols occurring in the translation:
% 0.72/1.17
% 0.72/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.17 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.17 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.72/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.17 s [39, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.72/1.17 apply [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.72/1.17 k [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.72/1.17 combinator [45, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 Starting Search:
% 0.72/1.17
% 0.72/1.17 Resimplifying inuse:
% 0.72/1.17 Done
% 0.72/1.17
% 0.72/1.17 Failed to find proof!
% 0.72/1.17 maxweight = 15
% 0.72/1.17 maxnrclauses = 10000000
% 0.72/1.17 Generated: 1015
% 0.72/1.17 Kept: 20
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 The strategy used was not complete!
% 0.72/1.17
% 0.72/1.17 Increased maxweight to 16
% 0.72/1.17
% 0.72/1.17 Starting Search:
% 0.72/1.17
% 0.72/1.17 Resimplifying inuse:
% 0.72/1.17 Done
% 0.72/1.17
% 0.72/1.17 Failed to find proof!
% 0.72/1.17 maxweight = 16
% 0.72/1.17 maxnrclauses = 10000000
% 0.72/1.17 Generated: 1015
% 0.72/1.17 Kept: 20
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 The strategy used was not complete!
% 0.72/1.17
% 0.72/1.17 Increased maxweight to 17
% 0.72/1.17
% 0.72/1.17 Starting Search:
% 0.72/1.17
% 0.72/1.17 Resimplifying inuse:
% 0.72/1.17 Done
% 0.72/1.17
% 0.72/1.17 Failed to find proof!
% 0.72/1.17 maxweight = 17
% 0.72/1.17 maxnrclauses = 10000000
% 0.72/1.17 Generated: 4806
% 0.72/1.17 Kept: 77
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 The strategy used was not complete!
% 0.72/1.17
% 0.72/1.17 Increased maxweight to 18
% 0.72/1.17
% 0.72/1.17 Starting Search:
% 0.72/1.17
% 0.72/1.17 Resimplifying inuse:
% 0.72/1.17 Done
% 0.72/1.17
% 0.72/1.17 Failed to find proof!
% 0.72/1.17 maxweight = 18
% 0.72/1.17 maxnrclauses = 10000000
% 0.72/1.17 Generated: 4806
% 0.72/1.17 Kept: 77
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 The strategy used was not complete!
% 0.72/1.17
% 0.72/1.17 Increased maxweight to 19
% 0.72/1.17
% 0.72/1.17 Starting Search:
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 Bliksems!, er is een bewijs:
% 0.72/1.17 % SZS status Unsatisfiable
% 0.72/1.17 % SZS output start Refutation
% 0.72/1.17
% 0.72/1.17 clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z )
% 0.72/1.17 , apply( Y, Z ) ) ) ] )
% 0.72/1.17 .
% 0.72/1.17 clause( 1, [ =( apply( apply( k, X ), Y ), X ) ] )
% 0.72/1.17 .
% 0.72/1.17 clause( 2, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.72/1.17 .
% 0.72/1.17 clause( 3, [ =( apply( apply( X, apply( Z, Y ) ), apply( Y, apply( Z, Y ) )
% 0.72/1.17 ), apply( apply( apply( s, apply( s, X ) ), Z ), Y ) ) ] )
% 0.72/1.17 .
% 0.72/1.17 clause( 9, [ =( apply( apply( apply( s, k ), Y ), X ), X ) ] )
% 0.72/1.17 .
% 0.72/1.17 clause( 21, [ =( apply( X, apply( Z, apply( Y, Z ) ) ), apply( apply( apply(
% 0.72/1.17 s, apply( s, apply( k, X ) ) ), Y ), Z ) ) ] )
% 0.72/1.17 .
% 0.72/1.17 clause( 157, [ ~( =( apply( apply( apply( s, apply( s, apply( k, combinator
% 0.72/1.17 ) ) ), Y ), X ), apply( X, apply( Y, X ) ) ) ) ] )
% 0.72/1.17 .
% 0.72/1.17 clause( 178, [ ~( =( apply( apply( apply( s, apply( s, apply( k, combinator
% 0.72/1.17 ) ) ), apply( apply( s, k ), X ) ), Y ), apply( Y, Y ) ) ) ] )
% 0.72/1.17 .
% 0.72/1.17 clause( 179, [] )
% 0.72/1.17 .
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 % SZS output end Refutation
% 0.72/1.17 found a proof!
% 0.72/1.17
% 0.72/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.17
% 0.72/1.17 initialclauses(
% 0.72/1.17 [ clause( 181, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X
% 0.72/1.17 , Z ), apply( Y, Z ) ) ) ] )
% 0.72/1.17 , clause( 182, [ =( apply( apply( k, X ), Y ), X ) ] )
% 0.72/1.17 , clause( 183, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.72/1.17 ] ).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 subsumption(
% 0.72/1.17 clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z )
% 0.72/1.17 , apply( Y, Z ) ) ) ] )
% 0.72/1.17 , clause( 181, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X
% 0.72/1.17 , Z ), apply( Y, Z ) ) ) ] )
% 0.72/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 subsumption(
% 0.72/1.17 clause( 1, [ =( apply( apply( k, X ), Y ), X ) ] )
% 0.72/1.17 , clause( 182, [ =( apply( apply( k, X ), Y ), X ) ] )
% 0.72/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.17 )] ) ).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 eqswap(
% 0.72/1.17 clause( 189, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.72/1.17 , clause( 183, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.72/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 subsumption(
% 0.72/1.17 clause( 2, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.72/1.17 , clause( 189, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.72/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 eqswap(
% 0.72/1.17 clause( 190, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 0.72/1.17 apply( s, X ), Y ), Z ) ) ] )
% 0.72/1.17 , clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z
% 0.72/1.17 ), apply( Y, Z ) ) ) ] )
% 0.72/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 eqswap(
% 0.72/1.17 clause( 191, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 0.72/1.17 apply( s, X ), Y ), Z ) ) ] )
% 0.72/1.17 , clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z
% 0.72/1.17 ), apply( Y, Z ) ) ) ] )
% 0.72/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 paramod(
% 0.72/1.17 clause( 195, [ =( apply( apply( X, apply( Y, Z ) ), apply( Z, apply( Y, Z )
% 0.72/1.17 ) ), apply( apply( apply( s, apply( s, X ) ), Y ), Z ) ) ] )
% 0.72/1.17 , clause( 190, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 0.72/1.17 apply( s, X ), Y ), Z ) ) ] )
% 0.72/1.17 , 0, clause( 191, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 0.72/1.17 apply( s, X ), Y ), Z ) ) ] )
% 0.72/1.17 , 0, 12, substitution( 0, [ :=( X, apply( s, X ) ), :=( Y, Y ), :=( Z, Z )] )
% 0.72/1.17 , substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, apply( Y, Z ) )] )
% 0.72/1.17 ).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 subsumption(
% 0.72/1.17 clause( 3, [ =( apply( apply( X, apply( Z, Y ) ), apply( Y, apply( Z, Y ) )
% 0.72/1.17 ), apply( apply( apply( s, apply( s, X ) ), Z ), Y ) ) ] )
% 0.72/1.17 , clause( 195, [ =( apply( apply( X, apply( Y, Z ) ), apply( Z, apply( Y, Z
% 0.72/1.17 ) ) ), apply( apply( apply( s, apply( s, X ) ), Y ), Z ) ) ] )
% 0.72/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.72/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 eqswap(
% 0.72/1.17 clause( 206, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 0.72/1.17 apply( s, X ), Y ), Z ) ) ] )
% 0.72/1.17 , clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z
% 0.72/1.17 ), apply( Y, Z ) ) ) ] )
% 0.72/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 eqswap(
% 0.72/1.17 clause( 207, [ =( X, apply( apply( k, X ), Y ) ) ] )
% 0.72/1.17 , clause( 1, [ =( apply( apply( k, X ), Y ), X ) ] )
% 0.72/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 paramod(
% 0.72/1.17 clause( 208, [ =( X, apply( apply( apply( s, k ), Y ), X ) ) ] )
% 0.72/1.17 , clause( 206, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 0.72/1.17 apply( s, X ), Y ), Z ) ) ] )
% 0.72/1.17 , 0, clause( 207, [ =( X, apply( apply( k, X ), Y ) ) ] )
% 0.72/1.17 , 0, 2, substitution( 0, [ :=( X, k ), :=( Y, Y ), :=( Z, X )] ),
% 0.72/1.17 substitution( 1, [ :=( X, X ), :=( Y, apply( Y, X ) )] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 eqswap(
% 0.72/1.17 clause( 209, [ =( apply( apply( apply( s, k ), Y ), X ), X ) ] )
% 0.72/1.17 , clause( 208, [ =( X, apply( apply( apply( s, k ), Y ), X ) ) ] )
% 0.72/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 subsumption(
% 0.72/1.17 clause( 9, [ =( apply( apply( apply( s, k ), Y ), X ), X ) ] )
% 0.72/1.17 , clause( 209, [ =( apply( apply( apply( s, k ), Y ), X ), X ) ] )
% 0.72/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.17 )] ) ).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 eqswap(
% 0.72/1.17 clause( 211, [ =( apply( apply( apply( s, apply( s, X ) ), Y ), Z ), apply(
% 0.72/1.17 apply( X, apply( Y, Z ) ), apply( Z, apply( Y, Z ) ) ) ) ] )
% 0.72/1.17 , clause( 3, [ =( apply( apply( X, apply( Z, Y ) ), apply( Y, apply( Z, Y )
% 0.72/1.17 ) ), apply( apply( apply( s, apply( s, X ) ), Z ), Y ) ) ] )
% 0.72/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 paramod(
% 0.72/1.17 clause( 215, [ =( apply( apply( apply( s, apply( s, apply( k, X ) ) ), Y )
% 0.72/1.17 , Z ), apply( X, apply( Z, apply( Y, Z ) ) ) ) ] )
% 0.72/1.17 , clause( 1, [ =( apply( apply( k, X ), Y ), X ) ] )
% 0.72/1.17 , 0, clause( 211, [ =( apply( apply( apply( s, apply( s, X ) ), Y ), Z ),
% 0.72/1.17 apply( apply( X, apply( Y, Z ) ), apply( Z, apply( Y, Z ) ) ) ) ] )
% 0.72/1.17 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, apply( Y, Z ) )] ),
% 0.72/1.17 substitution( 1, [ :=( X, apply( k, X ) ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 eqswap(
% 0.72/1.17 clause( 221, [ =( apply( X, apply( Z, apply( Y, Z ) ) ), apply( apply(
% 0.72/1.17 apply( s, apply( s, apply( k, X ) ) ), Y ), Z ) ) ] )
% 0.72/1.17 , clause( 215, [ =( apply( apply( apply( s, apply( s, apply( k, X ) ) ), Y
% 0.72/1.17 ), Z ), apply( X, apply( Z, apply( Y, Z ) ) ) ) ] )
% 0.72/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 subsumption(
% 0.72/1.17 clause( 21, [ =( apply( X, apply( Z, apply( Y, Z ) ) ), apply( apply( apply(
% 0.72/1.17 s, apply( s, apply( k, X ) ) ), Y ), Z ) ) ] )
% 0.72/1.17 , clause( 221, [ =( apply( X, apply( Z, apply( Y, Z ) ) ), apply( apply(
% 0.72/1.17 apply( s, apply( s, apply( k, X ) ) ), Y ), Z ) ) ] )
% 0.72/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 eqswap(
% 0.72/1.17 clause( 227, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.72/1.17 , clause( 2, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.72/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 paramod(
% 0.72/1.17 clause( 228, [ ~( =( apply( X, apply( Y, X ) ), apply( apply( apply( s,
% 0.72/1.17 apply( s, apply( k, combinator ) ) ), Y ), X ) ) ) ] )
% 0.72/1.17 , clause( 21, [ =( apply( X, apply( Z, apply( Y, Z ) ) ), apply( apply(
% 0.72/1.17 apply( s, apply( s, apply( k, X ) ) ), Y ), Z ) ) ] )
% 0.72/1.17 , 0, clause( 227, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.72/1.17 , 0, 7, substitution( 0, [ :=( X, combinator ), :=( Y, Y ), :=( Z, X )] ),
% 0.72/1.17 substitution( 1, [ :=( X, apply( X, apply( Y, X ) ) )] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 eqswap(
% 0.72/1.17 clause( 229, [ ~( =( apply( apply( apply( s, apply( s, apply( k, combinator
% 0.72/1.17 ) ) ), Y ), X ), apply( X, apply( Y, X ) ) ) ) ] )
% 0.72/1.17 , clause( 228, [ ~( =( apply( X, apply( Y, X ) ), apply( apply( apply( s,
% 0.72/1.17 apply( s, apply( k, combinator ) ) ), Y ), X ) ) ) ] )
% 0.72/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 subsumption(
% 0.72/1.17 clause( 157, [ ~( =( apply( apply( apply( s, apply( s, apply( k, combinator
% 0.72/1.17 ) ) ), Y ), X ), apply( X, apply( Y, X ) ) ) ) ] )
% 0.72/1.17 , clause( 229, [ ~( =( apply( apply( apply( s, apply( s, apply( k,
% 0.72/1.17 combinator ) ) ), Y ), X ), apply( X, apply( Y, X ) ) ) ) ] )
% 0.72/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.17 )] ) ).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 eqswap(
% 0.72/1.17 clause( 231, [ ~( =( apply( Y, apply( X, Y ) ), apply( apply( apply( s,
% 0.72/1.17 apply( s, apply( k, combinator ) ) ), X ), Y ) ) ) ] )
% 0.72/1.17 , clause( 157, [ ~( =( apply( apply( apply( s, apply( s, apply( k,
% 0.72/1.17 combinator ) ) ), Y ), X ), apply( X, apply( Y, X ) ) ) ) ] )
% 0.72/1.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 paramod(
% 0.72/1.17 clause( 233, [ ~( =( apply( X, X ), apply( apply( apply( s, apply( s, apply(
% 0.72/1.17 k, combinator ) ) ), apply( apply( s, k ), Y ) ), X ) ) ) ] )
% 0.72/1.17 , clause( 9, [ =( apply( apply( apply( s, k ), Y ), X ), X ) ] )
% 0.72/1.17 , 0, clause( 231, [ ~( =( apply( Y, apply( X, Y ) ), apply( apply( apply( s
% 0.72/1.17 , apply( s, apply( k, combinator ) ) ), X ), Y ) ) ) ] )
% 0.72/1.17 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.17 :=( X, apply( apply( s, k ), Y ) ), :=( Y, X )] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 eqswap(
% 0.72/1.17 clause( 235, [ ~( =( apply( apply( apply( s, apply( s, apply( k, combinator
% 0.72/1.17 ) ) ), apply( apply( s, k ), Y ) ), X ), apply( X, X ) ) ) ] )
% 0.72/1.17 , clause( 233, [ ~( =( apply( X, X ), apply( apply( apply( s, apply( s,
% 0.72/1.17 apply( k, combinator ) ) ), apply( apply( s, k ), Y ) ), X ) ) ) ] )
% 0.72/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 subsumption(
% 0.72/1.17 clause( 178, [ ~( =( apply( apply( apply( s, apply( s, apply( k, combinator
% 0.72/1.17 ) ) ), apply( apply( s, k ), X ) ), Y ), apply( Y, Y ) ) ) ] )
% 0.72/1.17 , clause( 235, [ ~( =( apply( apply( apply( s, apply( s, apply( k,
% 0.72/1.17 combinator ) ) ), apply( apply( s, k ), Y ) ), X ), apply( X, X ) ) ) ]
% 0.72/1.17 )
% 0.72/1.17 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.17 )] ) ).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 eqswap(
% 0.72/1.17 clause( 236, [ ~( =( apply( Y, Y ), apply( apply( apply( s, apply( s, apply(
% 0.72/1.17 k, combinator ) ) ), apply( apply( s, k ), X ) ), Y ) ) ) ] )
% 0.72/1.17 , clause( 178, [ ~( =( apply( apply( apply( s, apply( s, apply( k,
% 0.72/1.17 combinator ) ) ), apply( apply( s, k ), X ) ), Y ), apply( Y, Y ) ) ) ]
% 0.72/1.17 )
% 0.72/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 eqrefl(
% 0.72/1.17 clause( 237, [] )
% 0.72/1.17 , clause( 236, [ ~( =( apply( Y, Y ), apply( apply( apply( s, apply( s,
% 0.72/1.17 apply( k, combinator ) ) ), apply( apply( s, k ), X ) ), Y ) ) ) ] )
% 0.72/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, apply( apply( s, apply( s, apply(
% 0.72/1.17 k, combinator ) ) ), apply( apply( s, k ), X ) ) )] )).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 subsumption(
% 0.72/1.17 clause( 179, [] )
% 0.72/1.17 , clause( 237, [] )
% 0.72/1.17 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 end.
% 0.72/1.17
% 0.72/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.17
% 0.72/1.17 Memory use:
% 0.72/1.17
% 0.72/1.17 space for terms: 3301
% 0.72/1.17 space for clauses: 23246
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 clauses generated: 4775
% 0.72/1.17 clauses kept: 180
% 0.72/1.17 clauses selected: 54
% 0.72/1.17 clauses deleted: 3
% 0.72/1.17 clauses inuse deleted: 0
% 0.72/1.17
% 0.72/1.17 subsentry: 472
% 0.72/1.17 literals s-matched: 198
% 0.72/1.17 literals matched: 194
% 0.72/1.17 full subsumption: 0
% 0.72/1.17
% 0.72/1.17 checksum: -1801542292
% 0.72/1.17
% 0.72/1.17
% 0.72/1.17 Bliksem ended
%------------------------------------------------------------------------------