TSTP Solution File: LCL138-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL138-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 : Sun Jul 17 07:50:48 EDT 2022
% Result : Unsatisfiable 0.85s 1.23s
% Output : Refutation 0.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL138-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n021.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 : Sun Jul 3 05:16:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.85/1.23 *** allocated 10000 integers for termspace/termends
% 0.85/1.23 *** allocated 10000 integers for clauses
% 0.85/1.23 *** allocated 10000 integers for justifications
% 0.85/1.23 Bliksem 1.12
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 Automatic Strategy Selection
% 0.85/1.23
% 0.85/1.23 Clauses:
% 0.85/1.23 [
% 0.85/1.23 [ =( implies( truth, X ), X ) ],
% 0.85/1.23 [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies( X, Z )
% 0.85/1.23 ) ), truth ) ],
% 0.85/1.23 [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X ) ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ), truth )
% 0.85/1.23 ],
% 0.85/1.23 [ ~( =( implies( x, implies( y, z ) ), implies( y, implies( x, z ) ) ) )
% 0.85/1.23 ]
% 0.85/1.23 ] .
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 percentage equality = 1.000000, percentage horn = 1.000000
% 0.85/1.23 This is a pure equality problem
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 Options Used:
% 0.85/1.23
% 0.85/1.23 useres = 1
% 0.85/1.23 useparamod = 1
% 0.85/1.23 useeqrefl = 1
% 0.85/1.23 useeqfact = 1
% 0.85/1.23 usefactor = 1
% 0.85/1.23 usesimpsplitting = 0
% 0.85/1.23 usesimpdemod = 5
% 0.85/1.23 usesimpres = 3
% 0.85/1.23
% 0.85/1.23 resimpinuse = 1000
% 0.85/1.23 resimpclauses = 20000
% 0.85/1.23 substype = eqrewr
% 0.85/1.23 backwardsubs = 1
% 0.85/1.23 selectoldest = 5
% 0.85/1.23
% 0.85/1.23 litorderings [0] = split
% 0.85/1.23 litorderings [1] = extend the termordering, first sorting on arguments
% 0.85/1.23
% 0.85/1.23 termordering = kbo
% 0.85/1.23
% 0.85/1.23 litapriori = 0
% 0.85/1.23 termapriori = 1
% 0.85/1.23 litaposteriori = 0
% 0.85/1.23 termaposteriori = 0
% 0.85/1.23 demodaposteriori = 0
% 0.85/1.23 ordereqreflfact = 0
% 0.85/1.23
% 0.85/1.23 litselect = negord
% 0.85/1.23
% 0.85/1.23 maxweight = 15
% 0.85/1.23 maxdepth = 30000
% 0.85/1.23 maxlength = 115
% 0.85/1.23 maxnrvars = 195
% 0.85/1.23 excuselevel = 1
% 0.85/1.23 increasemaxweight = 1
% 0.85/1.23
% 0.85/1.23 maxselected = 10000000
% 0.85/1.23 maxnrclauses = 10000000
% 0.85/1.23
% 0.85/1.23 showgenerated = 0
% 0.85/1.23 showkept = 0
% 0.85/1.23 showselected = 0
% 0.85/1.23 showdeleted = 0
% 0.85/1.23 showresimp = 1
% 0.85/1.23 showstatus = 2000
% 0.85/1.23
% 0.85/1.23 prologoutput = 1
% 0.85/1.23 nrgoals = 5000000
% 0.85/1.23 totalproof = 1
% 0.85/1.23
% 0.85/1.23 Symbols occurring in the translation:
% 0.85/1.23
% 0.85/1.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.85/1.23 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.85/1.23 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.85/1.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.23 truth [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.85/1.23 implies [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.85/1.23 not [44, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.85/1.23 x [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.85/1.23 y [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.85/1.23 z [47, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 Starting Search:
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 Bliksems!, er is een bewijs:
% 0.85/1.23 % SZS status Unsatisfiable
% 0.85/1.23 % SZS output start Refutation
% 0.85/1.23
% 0.85/1.23 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.85/1.23 .
% 0.85/1.23 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.85/1.23 X, Z ) ) ), truth ) ] )
% 0.85/1.23 .
% 0.85/1.23 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.85/1.23 ) ) ] )
% 0.85/1.23 .
% 0.85/1.23 clause( 4, [ ~( =( implies( x, implies( y, z ) ), implies( y, implies( x, z
% 0.85/1.23 ) ) ) ) ] )
% 0.85/1.23 .
% 0.85/1.23 clause( 15, [ =( implies( implies( implies( implies( Y, Z ), implies( X, Z
% 0.85/1.23 ) ), T ), implies( implies( X, Y ), T ) ), truth ) ] )
% 0.85/1.23 .
% 0.85/1.23 clause( 35, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.85/1.23 .
% 0.85/1.23 clause( 37, [ =( implies( implies( implies( implies( X, Y ), Y ), Z ),
% 0.85/1.23 implies( X, Z ) ), truth ) ] )
% 0.85/1.23 .
% 0.85/1.23 clause( 631, [ =( implies( implies( Z, implies( X, Y ) ), implies( X,
% 0.85/1.23 implies( Z, Y ) ) ), truth ) ] )
% 0.85/1.23 .
% 0.85/1.23 clause( 775, [ =( implies( Y, implies( X, Z ) ), implies( X, implies( Y, Z
% 0.85/1.23 ) ) ) ] )
% 0.85/1.23 .
% 0.85/1.23 clause( 824, [] )
% 0.85/1.23 .
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 % SZS output end Refutation
% 0.85/1.23 found a proof!
% 0.85/1.23
% 0.85/1.23 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.85/1.23
% 0.85/1.23 initialclauses(
% 0.85/1.23 [ clause( 826, [ =( implies( truth, X ), X ) ] )
% 0.85/1.23 , clause( 827, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.85/1.23 implies( X, Z ) ) ), truth ) ] )
% 0.85/1.23 , clause( 828, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.85/1.23 , X ) ) ] )
% 0.85/1.23 , clause( 829, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.85/1.23 ), truth ) ] )
% 0.85/1.23 , clause( 830, [ ~( =( implies( x, implies( y, z ) ), implies( y, implies(
% 0.85/1.23 x, z ) ) ) ) ] )
% 0.85/1.23 ] ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 subsumption(
% 0.85/1.23 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.85/1.23 , clause( 826, [ =( implies( truth, X ), X ) ] )
% 0.85/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 subsumption(
% 0.85/1.23 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.85/1.23 X, Z ) ) ), truth ) ] )
% 0.85/1.23 , clause( 827, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.85/1.23 implies( X, Z ) ) ), truth ) ] )
% 0.85/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.85/1.23 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 subsumption(
% 0.85/1.23 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.85/1.23 ) ) ] )
% 0.85/1.23 , clause( 828, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.85/1.23 , X ) ) ] )
% 0.85/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.85/1.23 )] ) ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 subsumption(
% 0.85/1.23 clause( 4, [ ~( =( implies( x, implies( y, z ) ), implies( y, implies( x, z
% 0.85/1.23 ) ) ) ) ] )
% 0.85/1.23 , clause( 830, [ ~( =( implies( x, implies( y, z ) ), implies( y, implies(
% 0.85/1.23 x, z ) ) ) ) ] )
% 0.85/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 eqswap(
% 0.85/1.23 clause( 840, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.85/1.23 , implies( X, Z ) ) ) ) ] )
% 0.85/1.23 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.85/1.23 implies( X, Z ) ) ), truth ) ] )
% 0.85/1.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 paramod(
% 0.85/1.23 clause( 844, [ =( truth, implies( truth, implies( implies( implies( implies(
% 0.85/1.23 Y, Z ), implies( X, Z ) ), T ), implies( implies( X, Y ), T ) ) ) ) ] )
% 0.85/1.23 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.85/1.23 implies( X, Z ) ) ), truth ) ] )
% 0.85/1.23 , 0, clause( 840, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.85/1.23 , Z ), implies( X, Z ) ) ) ) ] )
% 0.85/1.23 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.85/1.23 substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, implies( implies( Y,
% 0.85/1.23 Z ), implies( X, Z ) ) ), :=( Z, T )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 paramod(
% 0.85/1.23 clause( 850, [ =( truth, implies( implies( implies( implies( X, Y ),
% 0.85/1.23 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.85/1.23 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.85/1.23 , 0, clause( 844, [ =( truth, implies( truth, implies( implies( implies(
% 0.85/1.23 implies( Y, Z ), implies( X, Z ) ), T ), implies( implies( X, Y ), T ) )
% 0.85/1.23 ) ) ] )
% 0.85/1.23 , 0, 2, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y
% 0.85/1.23 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) )] ),
% 0.85/1.23 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 eqswap(
% 0.85/1.23 clause( 851, [ =( implies( implies( implies( implies( X, Y ), implies( Z, Y
% 0.85/1.23 ) ), T ), implies( implies( Z, X ), T ) ), truth ) ] )
% 0.85/1.23 , clause( 850, [ =( truth, implies( implies( implies( implies( X, Y ),
% 0.85/1.23 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.85/1.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.85/1.23 ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 subsumption(
% 0.85/1.23 clause( 15, [ =( implies( implies( implies( implies( Y, Z ), implies( X, Z
% 0.85/1.23 ) ), T ), implies( implies( X, Y ), T ) ), truth ) ] )
% 0.85/1.23 , clause( 851, [ =( implies( implies( implies( implies( X, Y ), implies( Z
% 0.85/1.23 , Y ) ), T ), implies( implies( Z, X ), T ) ), truth ) ] )
% 0.85/1.23 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] ),
% 0.85/1.23 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 eqswap(
% 0.85/1.23 clause( 853, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.85/1.23 , implies( X, Z ) ) ) ) ] )
% 0.85/1.23 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.85/1.23 implies( X, Z ) ) ), truth ) ] )
% 0.85/1.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 paramod(
% 0.85/1.23 clause( 857, [ =( truth, implies( implies( truth, X ), implies( implies( X
% 0.85/1.23 , Y ), Y ) ) ) ] )
% 0.85/1.23 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.85/1.23 , 0, clause( 853, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.85/1.23 , Z ), implies( X, Z ) ) ) ) ] )
% 0.85/1.23 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, truth
% 0.85/1.23 ), :=( Y, X ), :=( Z, Y )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 paramod(
% 0.85/1.23 clause( 859, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.85/1.23 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.85/1.23 , 0, clause( 857, [ =( truth, implies( implies( truth, X ), implies(
% 0.85/1.23 implies( X, Y ), Y ) ) ) ] )
% 0.85/1.23 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.85/1.23 :=( Y, Y )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 eqswap(
% 0.85/1.23 clause( 860, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.85/1.23 , clause( 859, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.85/1.23 )
% 0.85/1.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 subsumption(
% 0.85/1.23 clause( 35, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.85/1.23 , clause( 860, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.85/1.23 )
% 0.85/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.85/1.23 )] ) ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 eqswap(
% 0.85/1.23 clause( 862, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.85/1.23 , implies( X, Z ) ) ) ) ] )
% 0.85/1.23 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.85/1.23 implies( X, Z ) ) ), truth ) ] )
% 0.85/1.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 paramod(
% 0.85/1.23 clause( 867, [ =( truth, implies( truth, implies( implies( implies( implies(
% 0.85/1.23 X, Y ), Y ), Z ), implies( X, Z ) ) ) ) ] )
% 0.85/1.23 , clause( 35, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.85/1.23 )
% 0.85/1.23 , 0, clause( 862, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.85/1.23 , Z ), implies( X, Z ) ) ) ) ] )
% 0.85/1.23 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.85/1.23 :=( X, X ), :=( Y, implies( implies( X, Y ), Y ) ), :=( Z, Z )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 paramod(
% 0.85/1.23 clause( 873, [ =( truth, implies( implies( implies( implies( X, Y ), Y ), Z
% 0.85/1.23 ), implies( X, Z ) ) ) ] )
% 0.85/1.23 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.85/1.23 , 0, clause( 867, [ =( truth, implies( truth, implies( implies( implies(
% 0.85/1.23 implies( X, Y ), Y ), Z ), implies( X, Z ) ) ) ) ] )
% 0.85/1.23 , 0, 2, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y
% 0.85/1.23 ), Y ), Z ), implies( X, Z ) ) )] ), substitution( 1, [ :=( X, X ), :=(
% 0.85/1.23 Y, Y ), :=( Z, Z )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 eqswap(
% 0.85/1.23 clause( 874, [ =( implies( implies( implies( implies( X, Y ), Y ), Z ),
% 0.85/1.23 implies( X, Z ) ), truth ) ] )
% 0.85/1.23 , clause( 873, [ =( truth, implies( implies( implies( implies( X, Y ), Y )
% 0.85/1.23 , Z ), implies( X, Z ) ) ) ] )
% 0.85/1.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 subsumption(
% 0.85/1.23 clause( 37, [ =( implies( implies( implies( implies( X, Y ), Y ), Z ),
% 0.85/1.23 implies( X, Z ) ), truth ) ] )
% 0.85/1.23 , clause( 874, [ =( implies( implies( implies( implies( X, Y ), Y ), Z ),
% 0.85/1.23 implies( X, Z ) ), truth ) ] )
% 0.85/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.85/1.23 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 eqswap(
% 0.85/1.23 clause( 876, [ =( truth, implies( implies( implies( implies( X, Y ),
% 0.85/1.23 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.85/1.23 , clause( 15, [ =( implies( implies( implies( implies( Y, Z ), implies( X,
% 0.85/1.23 Z ) ), T ), implies( implies( X, Y ), T ) ), truth ) ] )
% 0.85/1.23 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 0.85/1.23 ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 paramod(
% 0.85/1.23 clause( 885, [ =( truth, implies( truth, implies( implies( Z, implies( X, Y
% 0.85/1.23 ) ), implies( X, implies( Z, Y ) ) ) ) ) ] )
% 0.85/1.23 , clause( 37, [ =( implies( implies( implies( implies( X, Y ), Y ), Z ),
% 0.85/1.23 implies( X, Z ) ), truth ) ] )
% 0.85/1.23 , 0, clause( 876, [ =( truth, implies( implies( implies( implies( X, Y ),
% 0.85/1.23 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.85/1.23 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( Z, Y ) )] )
% 0.85/1.23 , substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, Y ), :=( Z, Z ),
% 0.85/1.23 :=( T, implies( X, implies( Z, Y ) ) )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 paramod(
% 0.85/1.23 clause( 897, [ =( truth, implies( implies( X, implies( Y, Z ) ), implies( Y
% 0.85/1.23 , implies( X, Z ) ) ) ) ] )
% 0.85/1.23 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.85/1.23 , 0, clause( 885, [ =( truth, implies( truth, implies( implies( Z, implies(
% 0.85/1.23 X, Y ) ), implies( X, implies( Z, Y ) ) ) ) ) ] )
% 0.85/1.23 , 0, 2, substitution( 0, [ :=( X, implies( implies( X, implies( Y, Z ) ),
% 0.85/1.23 implies( Y, implies( X, Z ) ) ) )] ), substitution( 1, [ :=( X, Y ), :=(
% 0.85/1.23 Y, Z ), :=( Z, X )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 eqswap(
% 0.85/1.23 clause( 898, [ =( implies( implies( X, implies( Y, Z ) ), implies( Y,
% 0.85/1.23 implies( X, Z ) ) ), truth ) ] )
% 0.85/1.23 , clause( 897, [ =( truth, implies( implies( X, implies( Y, Z ) ), implies(
% 0.85/1.23 Y, implies( X, Z ) ) ) ) ] )
% 0.85/1.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 subsumption(
% 0.85/1.23 clause( 631, [ =( implies( implies( Z, implies( X, Y ) ), implies( X,
% 0.85/1.23 implies( Z, Y ) ) ), truth ) ] )
% 0.85/1.23 , clause( 898, [ =( implies( implies( X, implies( Y, Z ) ), implies( Y,
% 0.85/1.23 implies( X, Z ) ) ), truth ) ] )
% 0.85/1.23 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.85/1.23 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 paramod(
% 0.85/1.23 clause( 912, [ =( implies( implies( implies( X, implies( Y, Z ) ), implies(
% 0.85/1.23 Y, implies( X, Z ) ) ), implies( Y, implies( X, Z ) ) ), implies( truth,
% 0.85/1.23 implies( X, implies( Y, Z ) ) ) ) ] )
% 0.85/1.23 , clause( 631, [ =( implies( implies( Z, implies( X, Y ) ), implies( X,
% 0.85/1.23 implies( Z, Y ) ) ), truth ) ] )
% 0.85/1.23 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.85/1.23 ), X ) ) ] )
% 0.85/1.23 , 0, 19, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.85/1.23 substitution( 1, [ :=( X, implies( X, implies( Y, Z ) ) ), :=( Y, implies(
% 0.85/1.23 Y, implies( X, Z ) ) )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 paramod(
% 0.85/1.23 clause( 914, [ =( implies( implies( implies( X, implies( Y, Z ) ), implies(
% 0.85/1.23 Y, implies( X, Z ) ) ), implies( Y, implies( X, Z ) ) ), implies( X,
% 0.85/1.23 implies( Y, Z ) ) ) ] )
% 0.85/1.23 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.85/1.23 , 0, clause( 912, [ =( implies( implies( implies( X, implies( Y, Z ) ),
% 0.85/1.23 implies( Y, implies( X, Z ) ) ), implies( Y, implies( X, Z ) ) ), implies(
% 0.85/1.23 truth, implies( X, implies( Y, Z ) ) ) ) ] )
% 0.85/1.23 , 0, 18, substitution( 0, [ :=( X, implies( X, implies( Y, Z ) ) )] ),
% 0.85/1.23 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 paramod(
% 0.85/1.23 clause( 915, [ =( implies( truth, implies( Y, implies( X, Z ) ) ), implies(
% 0.85/1.23 X, implies( Y, Z ) ) ) ] )
% 0.85/1.23 , clause( 631, [ =( implies( implies( Z, implies( X, Y ) ), implies( X,
% 0.85/1.23 implies( Z, Y ) ) ), truth ) ] )
% 0.85/1.23 , 0, clause( 914, [ =( implies( implies( implies( X, implies( Y, Z ) ),
% 0.85/1.23 implies( Y, implies( X, Z ) ) ), implies( Y, implies( X, Z ) ) ), implies(
% 0.85/1.23 X, implies( Y, Z ) ) ) ] )
% 0.85/1.23 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.85/1.23 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 paramod(
% 0.85/1.23 clause( 916, [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z
% 0.85/1.23 ) ) ) ] )
% 0.85/1.23 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.85/1.23 , 0, clause( 915, [ =( implies( truth, implies( Y, implies( X, Z ) ) ),
% 0.85/1.23 implies( X, implies( Y, Z ) ) ) ] )
% 0.85/1.23 , 0, 1, substitution( 0, [ :=( X, implies( X, implies( Y, Z ) ) )] ),
% 0.85/1.23 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 subsumption(
% 0.85/1.23 clause( 775, [ =( implies( Y, implies( X, Z ) ), implies( X, implies( Y, Z
% 0.85/1.23 ) ) ) ] )
% 0.85/1.23 , clause( 916, [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X,
% 0.85/1.23 Z ) ) ) ] )
% 0.85/1.23 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.85/1.23 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 eqswap(
% 0.85/1.23 clause( 917, [ ~( =( implies( y, implies( x, z ) ), implies( x, implies( y
% 0.85/1.23 , z ) ) ) ) ] )
% 0.85/1.23 , clause( 4, [ ~( =( implies( x, implies( y, z ) ), implies( y, implies( x
% 0.85/1.23 , z ) ) ) ) ] )
% 0.85/1.23 , 0, substitution( 0, [] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 paramod(
% 0.85/1.23 clause( 919, [ ~( =( implies( y, implies( x, z ) ), implies( y, implies( x
% 0.85/1.23 , z ) ) ) ) ] )
% 0.85/1.23 , clause( 775, [ =( implies( Y, implies( X, Z ) ), implies( X, implies( Y,
% 0.85/1.23 Z ) ) ) ] )
% 0.85/1.23 , 0, clause( 917, [ ~( =( implies( y, implies( x, z ) ), implies( x,
% 0.85/1.23 implies( y, z ) ) ) ) ] )
% 0.85/1.23 , 0, 7, substitution( 0, [ :=( X, y ), :=( Y, x ), :=( Z, z )] ),
% 0.85/1.23 substitution( 1, [] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 eqrefl(
% 0.85/1.23 clause( 922, [] )
% 0.85/1.23 , clause( 919, [ ~( =( implies( y, implies( x, z ) ), implies( y, implies(
% 0.85/1.23 x, z ) ) ) ) ] )
% 0.85/1.23 , 0, substitution( 0, [] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 subsumption(
% 0.85/1.23 clause( 824, [] )
% 0.85/1.23 , clause( 922, [] )
% 0.85/1.23 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 end.
% 0.85/1.23
% 0.85/1.23 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.85/1.23
% 0.85/1.23 Memory use:
% 0.85/1.23
% 0.85/1.23 space for terms: 11503
% 0.85/1.23 space for clauses: 91181
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 clauses generated: 29467
% 0.85/1.23 clauses kept: 825
% 0.85/1.23 clauses selected: 121
% 0.85/1.23 clauses deleted: 39
% 0.85/1.23 clauses inuse deleted: 0
% 0.85/1.23
% 0.85/1.23 subsentry: 442
% 0.85/1.23 literals s-matched: 262
% 0.85/1.23 literals matched: 255
% 0.85/1.23 full subsumption: 0
% 0.85/1.23
% 0.85/1.23 checksum: 928168670
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 Bliksem ended
%------------------------------------------------------------------------------