TSTP Solution File: LCL157-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL157-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 07:51:06 EDT 2022
% Result : Unsatisfiable 0.40s 1.07s
% Output : Refutation 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL157-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n008.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 : Tue Jul 5 00:17:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.40/1.07 *** allocated 10000 integers for termspace/termends
% 0.40/1.07 *** allocated 10000 integers for clauses
% 0.40/1.07 *** allocated 10000 integers for justifications
% 0.40/1.07 Bliksem 1.12
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 Automatic Strategy Selection
% 0.40/1.07
% 0.40/1.07 Clauses:
% 0.40/1.07 [
% 0.40/1.07 [ =( implies( truth, X ), X ) ],
% 0.40/1.07 [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies( X, Z )
% 0.40/1.07 ) ), truth ) ],
% 0.40/1.07 [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X ) ) ]
% 0.40/1.07 ,
% 0.40/1.07 [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ), truth )
% 0.40/1.07 ],
% 0.40/1.07 [ =( or( X, Y ), implies( not( X ), Y ) ) ],
% 0.40/1.07 [ =( or( or( X, Y ), Z ), or( X, or( Y, Z ) ) ) ],
% 0.40/1.07 [ =( or( X, Y ), or( Y, X ) ) ],
% 0.40/1.07 [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ],
% 0.40/1.07 [ =( and( and( X, Y ), Z ), and( X, and( Y, Z ) ) ) ],
% 0.40/1.07 [ =( and( X, Y ), and( Y, X ) ) ],
% 0.40/1.07 [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y ) ) ) ],
% 0.40/1.07 [ =( xor( X, Y ), xor( Y, X ) ) ],
% 0.40/1.07 [ =( 'and_star'( X, Y ), not( or( not( X ), not( Y ) ) ) ) ],
% 0.40/1.07 [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X, 'and_star'( Y,
% 0.40/1.07 Z ) ) ) ],
% 0.40/1.07 [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ],
% 0.40/1.07 [ =( not( truth ), falsehood ) ],
% 0.40/1.07 [ ~( =( 'and_star'( x, falsehood ), falsehood ) ) ]
% 0.40/1.07 ] .
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 percentage equality = 1.000000, percentage horn = 1.000000
% 0.40/1.07 This is a pure equality problem
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 Options Used:
% 0.40/1.07
% 0.40/1.07 useres = 1
% 0.40/1.07 useparamod = 1
% 0.40/1.07 useeqrefl = 1
% 0.40/1.07 useeqfact = 1
% 0.40/1.07 usefactor = 1
% 0.40/1.07 usesimpsplitting = 0
% 0.40/1.07 usesimpdemod = 5
% 0.40/1.07 usesimpres = 3
% 0.40/1.07
% 0.40/1.07 resimpinuse = 1000
% 0.40/1.07 resimpclauses = 20000
% 0.40/1.07 substype = eqrewr
% 0.40/1.07 backwardsubs = 1
% 0.40/1.07 selectoldest = 5
% 0.40/1.07
% 0.40/1.07 litorderings [0] = split
% 0.40/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.40/1.07
% 0.40/1.07 termordering = kbo
% 0.40/1.07
% 0.40/1.07 litapriori = 0
% 0.40/1.07 termapriori = 1
% 0.40/1.07 litaposteriori = 0
% 0.40/1.07 termaposteriori = 0
% 0.40/1.07 demodaposteriori = 0
% 0.40/1.07 ordereqreflfact = 0
% 0.40/1.07
% 0.40/1.07 litselect = negord
% 0.40/1.07
% 0.40/1.07 maxweight = 15
% 0.40/1.07 maxdepth = 30000
% 0.40/1.07 maxlength = 115
% 0.40/1.07 maxnrvars = 195
% 0.40/1.07 excuselevel = 1
% 0.40/1.07 increasemaxweight = 1
% 0.40/1.07
% 0.40/1.07 maxselected = 10000000
% 0.40/1.07 maxnrclauses = 10000000
% 0.40/1.07
% 0.40/1.07 showgenerated = 0
% 0.40/1.07 showkept = 0
% 0.40/1.07 showselected = 0
% 0.40/1.07 showdeleted = 0
% 0.40/1.07 showresimp = 1
% 0.40/1.07 showstatus = 2000
% 0.40/1.07
% 0.40/1.07 prologoutput = 1
% 0.40/1.07 nrgoals = 5000000
% 0.40/1.07 totalproof = 1
% 0.40/1.07
% 0.40/1.07 Symbols occurring in the translation:
% 0.40/1.07
% 0.40/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.40/1.07 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.40/1.07 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.40/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.40/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.40/1.07 truth [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.40/1.07 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.40/1.07 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.40/1.07 or [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.40/1.07 and [46, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.40/1.07 xor [47, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.40/1.07 'and_star' [48, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.40/1.07 falsehood [49, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.40/1.07 x [50, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 Starting Search:
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 Bliksems!, er is een bewijs:
% 0.40/1.07 % SZS status Unsatisfiable
% 0.40/1.07 % SZS output start Refutation
% 0.40/1.07
% 0.40/1.07 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.40/1.07 X, Z ) ) ), truth ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.40/1.07 ) ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 12, [ =( 'and_star'( X, Y ), and( X, Y ) ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 14, [ ~( =( and( x, falsehood ), falsehood ) ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 21, [ ~( =( and( falsehood, x ), falsehood ) ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 24, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 31, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.40/1.07 )
% 0.40/1.07 .
% 0.40/1.07 clause( 32, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 52, [ =( implies( X, X ), truth ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 54, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 55, [ =( or( X, not( X ) ), truth ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 57, [ =( or( not( X ), X ), truth ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 58, [ =( implies( X, truth ), truth ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 66, [ =( implies( falsehood, X ), truth ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 68, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 104, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 141, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 151, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 152, [ =( and( falsehood, X ), falsehood ) ] )
% 0.40/1.07 .
% 0.40/1.07 clause( 155, [] )
% 0.40/1.07 .
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 % SZS output end Refutation
% 0.40/1.07 found a proof!
% 0.40/1.07
% 0.40/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.40/1.07
% 0.40/1.07 initialclauses(
% 0.40/1.07 [ clause( 157, [ =( implies( truth, X ), X ) ] )
% 0.40/1.07 , clause( 158, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.40/1.07 implies( X, Z ) ) ), truth ) ] )
% 0.40/1.07 , clause( 159, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.40/1.07 , X ) ) ] )
% 0.40/1.07 , clause( 160, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.40/1.07 ), truth ) ] )
% 0.40/1.07 , clause( 161, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.40/1.07 , clause( 162, [ =( or( or( X, Y ), Z ), or( X, or( Y, Z ) ) ) ] )
% 0.40/1.07 , clause( 163, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.40/1.07 , clause( 164, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.40/1.07 , clause( 165, [ =( and( and( X, Y ), Z ), and( X, and( Y, Z ) ) ) ] )
% 0.40/1.07 , clause( 166, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.40/1.07 , clause( 167, [ =( xor( X, Y ), or( and( X, not( Y ) ), and( not( X ), Y )
% 0.40/1.07 ) ) ] )
% 0.40/1.07 , clause( 168, [ =( xor( X, Y ), xor( Y, X ) ) ] )
% 0.40/1.07 , clause( 169, [ =( 'and_star'( X, Y ), not( or( not( X ), not( Y ) ) ) ) ]
% 0.40/1.07 )
% 0.40/1.07 , clause( 170, [ =( 'and_star'( 'and_star'( X, Y ), Z ), 'and_star'( X,
% 0.40/1.07 'and_star'( Y, Z ) ) ) ] )
% 0.40/1.07 , clause( 171, [ =( 'and_star'( X, Y ), 'and_star'( Y, X ) ) ] )
% 0.40/1.07 , clause( 172, [ =( not( truth ), falsehood ) ] )
% 0.40/1.07 , clause( 173, [ ~( =( 'and_star'( x, falsehood ), falsehood ) ) ] )
% 0.40/1.07 ] ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.40/1.07 , clause( 157, [ =( implies( truth, X ), X ) ] )
% 0.40/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.40/1.07 X, Z ) ) ), truth ) ] )
% 0.40/1.07 , clause( 158, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.40/1.07 implies( X, Z ) ) ), truth ) ] )
% 0.40/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.40/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.40/1.07 ) ) ] )
% 0.40/1.07 , clause( 159, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.40/1.07 , X ) ) ] )
% 0.40/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.40/1.07 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 182, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.40/1.07 , clause( 161, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.40/1.07 , clause( 182, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.40/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.40/1.07 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.40/1.07 , clause( 163, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.40/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.40/1.07 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 193, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.40/1.07 , clause( 164, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.40/1.07 , clause( 193, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.40/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.40/1.07 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.40/1.07 , clause( 166, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.40/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.40/1.07 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 225, [ =( 'and_star'( X, Y ), and( X, Y ) ) ] )
% 0.40/1.07 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.40/1.07 , 0, clause( 169, [ =( 'and_star'( X, Y ), not( or( not( X ), not( Y ) ) )
% 0.40/1.07 ) ] )
% 0.40/1.07 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.40/1.07 :=( X, X ), :=( Y, Y )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 12, [ =( 'and_star'( X, Y ), and( X, Y ) ) ] )
% 0.40/1.07 , clause( 225, [ =( 'and_star'( X, Y ), and( X, Y ) ) ] )
% 0.40/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.40/1.07 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.40/1.07 , clause( 172, [ =( not( truth ), falsehood ) ] )
% 0.40/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 330, [ ~( =( and( x, falsehood ), falsehood ) ) ] )
% 0.40/1.07 , clause( 12, [ =( 'and_star'( X, Y ), and( X, Y ) ) ] )
% 0.40/1.07 , 0, clause( 173, [ ~( =( 'and_star'( x, falsehood ), falsehood ) ) ] )
% 0.40/1.07 , 0, 2, substitution( 0, [ :=( X, x ), :=( Y, falsehood )] ),
% 0.40/1.07 substitution( 1, [] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 14, [ ~( =( and( x, falsehood ), falsehood ) ) ] )
% 0.40/1.07 , clause( 330, [ ~( =( and( x, falsehood ), falsehood ) ) ] )
% 0.40/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 333, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.40/1.07 , implies( X, Z ) ) ) ) ] )
% 0.40/1.07 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.40/1.07 implies( X, Z ) ) ), truth ) ] )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 337, [ =( truth, implies( implies( truth, X ), implies( implies( X
% 0.40/1.07 , Y ), Y ) ) ) ] )
% 0.40/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.40/1.07 , 0, clause( 333, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.40/1.07 , Z ), implies( X, Z ) ) ) ) ] )
% 0.40/1.07 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, truth
% 0.40/1.07 ), :=( Y, X ), :=( Z, Y )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 339, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.40/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.40/1.07 , 0, clause( 337, [ =( truth, implies( implies( truth, X ), implies(
% 0.40/1.07 implies( X, Y ), Y ) ) ) ] )
% 0.40/1.07 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.40/1.07 :=( Y, Y )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 340, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.40/1.07 , clause( 339, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.40/1.07 )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.40/1.07 , clause( 340, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.40/1.07 )
% 0.40/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.40/1.07 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 341, [ ~( =( falsehood, and( x, falsehood ) ) ) ] )
% 0.40/1.07 , clause( 14, [ ~( =( and( x, falsehood ), falsehood ) ) ] )
% 0.40/1.07 , 0, substitution( 0, [] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 342, [ ~( =( falsehood, and( falsehood, x ) ) ) ] )
% 0.40/1.07 , clause( 9, [ =( and( X, Y ), and( Y, X ) ) ] )
% 0.40/1.07 , 0, clause( 341, [ ~( =( falsehood, and( x, falsehood ) ) ) ] )
% 0.40/1.07 , 0, 3, substitution( 0, [ :=( X, x ), :=( Y, falsehood )] ),
% 0.40/1.07 substitution( 1, [] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 345, [ ~( =( and( falsehood, x ), falsehood ) ) ] )
% 0.40/1.07 , clause( 342, [ ~( =( falsehood, and( falsehood, x ) ) ) ] )
% 0.40/1.07 , 0, substitution( 0, [] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 21, [ ~( =( and( falsehood, x ), falsehood ) ) ] )
% 0.40/1.07 , clause( 345, [ ~( =( and( falsehood, x ), falsehood ) ) ] )
% 0.40/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 347, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.40/1.07 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 348, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.40/1.07 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.40/1.07 , 0, clause( 347, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.40/1.07 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, truth ), :=( Y, X
% 0.40/1.07 )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 24, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.40/1.07 , clause( 348, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.40/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 351, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.40/1.07 ] )
% 0.40/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.40/1.07 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.40/1.07 ), X ) ) ] )
% 0.40/1.07 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.40/1.07 , :=( Y, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 31, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.40/1.07 )
% 0.40/1.07 , clause( 351, [ =( implies( X, X ), implies( implies( X, truth ), truth )
% 0.40/1.07 ) ] )
% 0.40/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 353, [ =( implies( falsehood, X ), or( truth, X ) ) ] )
% 0.40/1.07 , clause( 24, [ =( or( truth, X ), implies( falsehood, X ) ) ] )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 354, [ =( implies( falsehood, X ), or( X, truth ) ) ] )
% 0.40/1.07 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.40/1.07 , 0, clause( 353, [ =( implies( falsehood, X ), or( truth, X ) ) ] )
% 0.40/1.07 , 0, 4, substitution( 0, [ :=( X, truth ), :=( Y, X )] ), substitution( 1
% 0.40/1.07 , [ :=( X, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 357, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.40/1.07 , clause( 354, [ =( implies( falsehood, X ), or( X, truth ) ) ] )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 32, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.40/1.07 , clause( 357, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.40/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 358, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.40/1.07 , clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.40/1.07 )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 362, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.40/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.40/1.07 , 0, clause( 358, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) )
% 0.40/1.07 ] )
% 0.40/1.07 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.40/1.07 , :=( Y, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 364, [ =( truth, implies( X, X ) ) ] )
% 0.40/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.40/1.07 , 0, clause( 362, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.40/1.07 , 0, 2, substitution( 0, [ :=( X, implies( X, X ) )] ), substitution( 1, [
% 0.40/1.07 :=( X, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 365, [ =( implies( X, X ), truth ) ] )
% 0.40/1.07 , clause( 364, [ =( truth, implies( X, X ) ) ] )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 52, [ =( implies( X, X ), truth ) ] )
% 0.40/1.07 , clause( 365, [ =( implies( X, X ), truth ) ] )
% 0.40/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 366, [ =( truth, implies( X, X ) ) ] )
% 0.40/1.07 , clause( 52, [ =( implies( X, X ), truth ) ] )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 368, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.40/1.07 , clause( 31, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.40/1.07 ] )
% 0.40/1.07 , 0, clause( 366, [ =( truth, implies( X, X ) ) ] )
% 0.40/1.07 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.40/1.07 ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 369, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.40/1.07 , clause( 368, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 54, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.40/1.07 , clause( 369, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.40/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 370, [ =( truth, implies( X, X ) ) ] )
% 0.40/1.07 , clause( 52, [ =( implies( X, X ), truth ) ] )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 372, [ =( truth, or( X, not( X ) ) ) ] )
% 0.40/1.07 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.40/1.07 , 0, clause( 370, [ =( truth, implies( X, X ) ) ] )
% 0.40/1.07 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( X ) )] ), substitution(
% 0.40/1.07 1, [ :=( X, not( X ) )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 373, [ =( or( X, not( X ) ), truth ) ] )
% 0.40/1.07 , clause( 372, [ =( truth, or( X, not( X ) ) ) ] )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 55, [ =( or( X, not( X ) ), truth ) ] )
% 0.40/1.07 , clause( 373, [ =( or( X, not( X ) ), truth ) ] )
% 0.40/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 374, [ =( truth, or( X, not( X ) ) ) ] )
% 0.40/1.07 , clause( 55, [ =( or( X, not( X ) ), truth ) ] )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 375, [ =( truth, or( not( X ), X ) ) ] )
% 0.40/1.07 , clause( 6, [ =( or( X, Y ), or( Y, X ) ) ] )
% 0.40/1.07 , 0, clause( 374, [ =( truth, or( X, not( X ) ) ) ] )
% 0.40/1.07 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, not( X ) )] ), substitution(
% 0.40/1.07 1, [ :=( X, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 378, [ =( or( not( X ), X ), truth ) ] )
% 0.40/1.07 , clause( 375, [ =( truth, or( not( X ), X ) ) ] )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 57, [ =( or( not( X ), X ), truth ) ] )
% 0.40/1.07 , clause( 378, [ =( or( not( X ), X ), truth ) ] )
% 0.40/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 380, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.40/1.07 , clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.40/1.07 )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 381, [ =( truth, implies( X, truth ) ) ] )
% 0.40/1.07 , clause( 54, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.40/1.07 , 0, clause( 380, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) )
% 0.40/1.07 ] )
% 0.40/1.07 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.40/1.07 :=( Y, truth )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 383, [ =( implies( X, truth ), truth ) ] )
% 0.40/1.07 , clause( 381, [ =( truth, implies( X, truth ) ) ] )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 58, [ =( implies( X, truth ), truth ) ] )
% 0.40/1.07 , clause( 383, [ =( implies( X, truth ), truth ) ] )
% 0.40/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 385, [ =( truth, implies( X, truth ) ) ] )
% 0.40/1.07 , clause( 58, [ =( implies( X, truth ), truth ) ] )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 388, [ =( truth, or( X, truth ) ) ] )
% 0.40/1.07 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.40/1.07 , 0, clause( 385, [ =( truth, implies( X, truth ) ) ] )
% 0.40/1.07 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, truth )] ), substitution( 1
% 0.40/1.07 , [ :=( X, not( X ) )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 389, [ =( truth, implies( falsehood, X ) ) ] )
% 0.40/1.07 , clause( 32, [ =( or( X, truth ), implies( falsehood, X ) ) ] )
% 0.40/1.07 , 0, clause( 388, [ =( truth, or( X, truth ) ) ] )
% 0.40/1.07 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.40/1.07 ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 390, [ =( implies( falsehood, X ), truth ) ] )
% 0.40/1.07 , clause( 389, [ =( truth, implies( falsehood, X ) ) ] )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 66, [ =( implies( falsehood, X ), truth ) ] )
% 0.40/1.07 , clause( 390, [ =( implies( falsehood, X ), truth ) ] )
% 0.40/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 394, [ =( implies( implies( X, falsehood ), falsehood ), implies(
% 0.40/1.07 truth, X ) ) ] )
% 0.40/1.07 , clause( 66, [ =( implies( falsehood, X ), truth ) ] )
% 0.40/1.07 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.40/1.07 ), X ) ) ] )
% 0.40/1.07 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.40/1.07 :=( Y, falsehood )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 395, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.40/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.40/1.07 , 0, clause( 394, [ =( implies( implies( X, falsehood ), falsehood ),
% 0.40/1.07 implies( truth, X ) ) ] )
% 0.40/1.07 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.40/1.07 ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 68, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.40/1.07 , clause( 395, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.40/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 398, [ =( X, implies( implies( X, falsehood ), falsehood ) ) ] )
% 0.40/1.07 , clause( 68, [ =( implies( implies( X, falsehood ), falsehood ), X ) ] )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 399, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ] )
% 0.40/1.07 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.40/1.07 , 0, clause( 398, [ =( X, implies( implies( X, falsehood ), falsehood ) ) ]
% 0.40/1.07 )
% 0.40/1.07 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, falsehood )] ),
% 0.40/1.07 substitution( 1, [ :=( X, not( X ) )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 400, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ] )
% 0.40/1.07 , clause( 399, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ]
% 0.40/1.07 )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 104, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ] )
% 0.40/1.07 , clause( 400, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 0.40/1.07 )
% 0.40/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 402, [ =( not( X ), implies( or( X, falsehood ), falsehood ) ) ] )
% 0.40/1.07 , clause( 104, [ =( implies( or( X, falsehood ), falsehood ), not( X ) ) ]
% 0.40/1.07 )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 404, [ =( not( not( falsehood ) ), implies( truth, falsehood ) ) ]
% 0.40/1.07 )
% 0.40/1.07 , clause( 57, [ =( or( not( X ), X ), truth ) ] )
% 0.40/1.07 , 0, clause( 402, [ =( not( X ), implies( or( X, falsehood ), falsehood ) )
% 0.40/1.07 ] )
% 0.40/1.07 , 0, 5, substitution( 0, [ :=( X, falsehood )] ), substitution( 1, [ :=( X
% 0.40/1.07 , not( falsehood ) )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 405, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.40/1.07 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.40/1.07 , 0, clause( 404, [ =( not( not( falsehood ) ), implies( truth, falsehood )
% 0.40/1.07 ) ] )
% 0.40/1.07 , 0, 4, substitution( 0, [ :=( X, falsehood )] ), substitution( 1, [] )
% 0.40/1.07 ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 141, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.40/1.07 , clause( 405, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.40/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 408, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.40/1.07 , clause( 4, [ =( implies( not( X ), Y ), or( X, Y ) ) ] )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 410, [ =( or( not( falsehood ), X ), implies( falsehood, X ) ) ] )
% 0.40/1.07 , clause( 141, [ =( not( not( falsehood ) ), falsehood ) ] )
% 0.40/1.07 , 0, clause( 408, [ =( or( X, Y ), implies( not( X ), Y ) ) ] )
% 0.40/1.07 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, not( falsehood ) )
% 0.40/1.07 , :=( Y, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 411, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.40/1.07 , clause( 66, [ =( implies( falsehood, X ), truth ) ] )
% 0.40/1.07 , 0, clause( 410, [ =( or( not( falsehood ), X ), implies( falsehood, X ) )
% 0.40/1.07 ] )
% 0.40/1.07 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.40/1.07 ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 151, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.40/1.07 , clause( 411, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.40/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 414, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.40/1.07 , clause( 7, [ =( not( or( not( X ), not( Y ) ) ), and( X, Y ) ) ] )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 416, [ =( and( falsehood, X ), not( truth ) ) ] )
% 0.40/1.07 , clause( 151, [ =( or( not( falsehood ), X ), truth ) ] )
% 0.40/1.07 , 0, clause( 414, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 0.40/1.07 , 0, 5, substitution( 0, [ :=( X, not( X ) )] ), substitution( 1, [ :=( X,
% 0.40/1.07 falsehood ), :=( Y, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 paramod(
% 0.40/1.07 clause( 417, [ =( and( falsehood, X ), falsehood ) ] )
% 0.40/1.07 , clause( 13, [ =( not( truth ), falsehood ) ] )
% 0.40/1.07 , 0, clause( 416, [ =( and( falsehood, X ), not( truth ) ) ] )
% 0.40/1.07 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 152, [ =( and( falsehood, X ), falsehood ) ] )
% 0.40/1.07 , clause( 417, [ =( and( falsehood, X ), falsehood ) ] )
% 0.40/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 419, [ =( falsehood, and( falsehood, X ) ) ] )
% 0.40/1.07 , clause( 152, [ =( and( falsehood, X ), falsehood ) ] )
% 0.40/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 eqswap(
% 0.40/1.07 clause( 420, [ ~( =( falsehood, and( falsehood, x ) ) ) ] )
% 0.40/1.07 , clause( 21, [ ~( =( and( falsehood, x ), falsehood ) ) ] )
% 0.40/1.07 , 0, substitution( 0, [] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 resolution(
% 0.40/1.07 clause( 421, [] )
% 0.40/1.07 , clause( 420, [ ~( =( falsehood, and( falsehood, x ) ) ) ] )
% 0.40/1.07 , 0, clause( 419, [ =( falsehood, and( falsehood, X ) ) ] )
% 0.40/1.07 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x )] )).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 subsumption(
% 0.40/1.07 clause( 155, [] )
% 0.40/1.07 , clause( 421, [] )
% 0.40/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 end.
% 0.40/1.07
% 0.40/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.40/1.07
% 0.40/1.07 Memory use:
% 0.40/1.07
% 0.40/1.07 space for terms: 2046
% 0.40/1.07 space for clauses: 17369
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 clauses generated: 709
% 0.40/1.07 clauses kept: 156
% 0.40/1.07 clauses selected: 43
% 0.40/1.07 clauses deleted: 2
% 0.40/1.07 clauses inuse deleted: 0
% 0.40/1.07
% 0.40/1.07 subsentry: 1758
% 0.40/1.07 literals s-matched: 362
% 0.40/1.07 literals matched: 362
% 0.40/1.07 full subsumption: 0
% 0.40/1.07
% 0.40/1.07 checksum: -748040529
% 0.40/1.07
% 0.40/1.07
% 0.40/1.07 Bliksem ended
%------------------------------------------------------------------------------