TSTP Solution File: LCL109-3 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL109-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 07:50:27 EDT 2022
% Result : Unsatisfiable 2.56s 2.98s
% Output : Refutation 2.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : LCL109-3 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n014.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 : Sun Jul 3 21:59:54 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.56/2.98 *** allocated 10000 integers for termspace/termends
% 2.56/2.98 *** allocated 10000 integers for clauses
% 2.56/2.98 *** allocated 10000 integers for justifications
% 2.56/2.98 Bliksem 1.12
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 Automatic Strategy Selection
% 2.56/2.98
% 2.56/2.98 Clauses:
% 2.56/2.98 [
% 2.56/2.98 [ =( implies( truth, X ), X ) ],
% 2.56/2.98 [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies( X, Z )
% 2.56/2.98 ) ), truth ) ],
% 2.56/2.98 [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X ) ) ]
% 2.56/2.98 ,
% 2.56/2.98 [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ), truth )
% 2.56/2.98 ],
% 2.56/2.98 [ =( implies( X, X ), truth ) ],
% 2.56/2.98 [ ~( =( implies( X, Y ), implies( Y, X ) ) ), =( X, Y ) ],
% 2.56/2.98 [ =( implies( X, truth ), truth ) ],
% 2.56/2.98 [ =( implies( X, implies( Y, X ) ), truth ) ],
% 2.56/2.98 [ ~( =( implies( X, Y ), implies( Y, Z ) ) ), =( implies( X, Z ), truth
% 2.56/2.98 ) ],
% 2.56/2.98 [ =( implies( implies( X, Y ), implies( implies( Z, X ), implies( Z, Y )
% 2.56/2.98 ) ), truth ) ],
% 2.56/2.98 [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z ) ) ) ]
% 2.56/2.98 ,
% 2.56/2.98 [ =( implies( X, not( truth ) ), not( X ) ) ],
% 2.56/2.98 [ =( not( not( X ) ), X ) ],
% 2.56/2.98 [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ],
% 2.56/2.98 [ ~( =( implies( implies( implies( a, b ), implies( b, a ) ), implies( b
% 2.56/2.98 , a ) ), truth ) ) ]
% 2.56/2.98 ] .
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 percentage equality = 1.000000, percentage horn = 1.000000
% 2.56/2.98 This is a pure equality problem
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 Options Used:
% 2.56/2.98
% 2.56/2.98 useres = 1
% 2.56/2.98 useparamod = 1
% 2.56/2.98 useeqrefl = 1
% 2.56/2.98 useeqfact = 1
% 2.56/2.98 usefactor = 1
% 2.56/2.98 usesimpsplitting = 0
% 2.56/2.98 usesimpdemod = 5
% 2.56/2.98 usesimpres = 3
% 2.56/2.98
% 2.56/2.98 resimpinuse = 1000
% 2.56/2.98 resimpclauses = 20000
% 2.56/2.98 substype = eqrewr
% 2.56/2.98 backwardsubs = 1
% 2.56/2.98 selectoldest = 5
% 2.56/2.98
% 2.56/2.98 litorderings [0] = split
% 2.56/2.98 litorderings [1] = extend the termordering, first sorting on arguments
% 2.56/2.98
% 2.56/2.98 termordering = kbo
% 2.56/2.98
% 2.56/2.98 litapriori = 0
% 2.56/2.98 termapriori = 1
% 2.56/2.98 litaposteriori = 0
% 2.56/2.98 termaposteriori = 0
% 2.56/2.98 demodaposteriori = 0
% 2.56/2.98 ordereqreflfact = 0
% 2.56/2.98
% 2.56/2.98 litselect = negord
% 2.56/2.98
% 2.56/2.98 maxweight = 15
% 2.56/2.98 maxdepth = 30000
% 2.56/2.98 maxlength = 115
% 2.56/2.98 maxnrvars = 195
% 2.56/2.98 excuselevel = 1
% 2.56/2.98 increasemaxweight = 1
% 2.56/2.98
% 2.56/2.98 maxselected = 10000000
% 2.56/2.98 maxnrclauses = 10000000
% 2.56/2.98
% 2.56/2.98 showgenerated = 0
% 2.56/2.98 showkept = 0
% 2.56/2.98 showselected = 0
% 2.56/2.98 showdeleted = 0
% 2.56/2.98 showresimp = 1
% 2.56/2.98 showstatus = 2000
% 2.56/2.98
% 2.56/2.98 prologoutput = 1
% 2.56/2.98 nrgoals = 5000000
% 2.56/2.98 totalproof = 1
% 2.56/2.98
% 2.56/2.98 Symbols occurring in the translation:
% 2.56/2.98
% 2.56/2.98 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.56/2.98 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 2.56/2.98 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 2.56/2.98 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.56/2.98 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.56/2.98 truth [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 2.56/2.98 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 2.56/2.98 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 2.56/2.98 a [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 2.56/2.98 b [46, 0] (w:1, o:14, a:1, s:1, b:0).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 Starting Search:
% 2.56/2.98
% 2.56/2.98 Resimplifying inuse:
% 2.56/2.98 Done
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 Intermediate Status:
% 2.56/2.98 Generated: 23909
% 2.56/2.98 Kept: 2003
% 2.56/2.98 Inuse: 231
% 2.56/2.98 Deleted: 24
% 2.56/2.98 Deletedinuse: 5
% 2.56/2.98
% 2.56/2.98 Resimplifying inuse:
% 2.56/2.98 Done
% 2.56/2.98
% 2.56/2.98 Resimplifying inuse:
% 2.56/2.98 Done
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 Intermediate Status:
% 2.56/2.98 Generated: 88304
% 2.56/2.98 Kept: 4633
% 2.56/2.98 Inuse: 387
% 2.56/2.98 Deleted: 34
% 2.56/2.98 Deletedinuse: 9
% 2.56/2.98
% 2.56/2.98 Resimplifying inuse:
% 2.56/2.98 Done
% 2.56/2.98
% 2.56/2.98 Resimplifying inuse:
% 2.56/2.98 Done
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 Bliksems!, er is een bewijs:
% 2.56/2.98 % SZS status Unsatisfiable
% 2.56/2.98 % SZS output start Refutation
% 2.56/2.98
% 2.56/2.98 clause( 0, [ =( implies( truth, X ), X ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 2.56/2.98 X, Z ) ) ), truth ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 2.56/2.98 ) ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 5, [ ~( =( implies( X, Y ), implies( Y, X ) ) ), =( X, Y ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 6, [ =( implies( X, truth ), truth ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 7, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 8, [ ~( =( implies( X, Y ), implies( Y, Z ) ) ), =( implies( X, Z )
% 2.56/2.98 , truth ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 10, [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z )
% 2.56/2.98 ) ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 11, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 12, [ =( not( not( X ) ), X ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 13, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 14, [ ~( =( implies( implies( implies( a, b ), implies( b, a ) ),
% 2.56/2.98 implies( b, a ) ), truth ) ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 16, [ =( implies( implies( T, implies( X, Y ) ), implies( T,
% 2.56/2.98 implies( implies( Y, Z ), implies( X, Z ) ) ) ), truth ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 24, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 25, [ =( implies( X, not( Y ) ), implies( Y, not( X ) ) ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 26, [ =( implies( not( Y ), X ), implies( not( X ), Y ) ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 29, [ =( implies( X, implies( not( X ), Y ) ), truth ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 30, [ =( implies( not( truth ), X ), truth ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 31, [ =( implies( implies( implies( Y, X ), X ), Y ), implies( X, Y
% 2.56/2.98 ) ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 39, [ =( implies( implies( implies( Y, X ), X ), X ), implies( Y, X
% 2.56/2.98 ) ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 71, [ =( implies( implies( X, Y ), Y ), X ), ~( =( implies( Y, X )
% 2.56/2.98 , truth ) ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 74, [ ~( =( implies( Y, not( X ) ), implies( not( Y ), X ) ) ), =(
% 2.56/2.98 X, not( Y ) ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 75, [ ~( =( implies( implies( not( X ), Y ), X ), truth ) ), =(
% 2.56/2.98 implies( not( X ), Y ), X ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 112, [ ~( =( implies( Y, X ), truth ) ), =( X, Y ), ~( =( implies(
% 2.56/2.98 X, Z ), implies( Z, Y ) ) ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 248, [ =( implies( Y, implies( not( X ), Z ) ), implies( not(
% 2.56/2.98 implies( Y, Z ) ), X ) ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 249, [ =( implies( not( X ), implies( Z, Y ) ), implies( not(
% 2.56/2.98 implies( Z, X ) ), Y ) ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 258, [ =( implies( X, implies( Z, implies( Y, X ) ) ), truth ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 2242, [ =( implies( X, implies( implies( implies( Z, X ), T ),
% 2.56/2.98 implies( Y, T ) ) ), truth ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 5057, [ =( X, not( truth ) ), ~( =( implies( X, Y ), not( Y ) ) ) ]
% 2.56/2.98 )
% 2.56/2.98 .
% 2.56/2.98 clause( 5323, [ =( Y, X ), ~( =( implies( X, Z ), not( Z ) ) ), ~( =(
% 2.56/2.98 implies( X, Y ), not( Y ) ) ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 5372, [ =( implies( implies( X, Y ), Y ), not( truth ) ), ~( =(
% 2.56/2.98 implies( X, Y ), not( Y ) ) ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 5405, [ =( X, Y ), ~( =( implies( Y, X ), not( X ) ) ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 5605, [ ~( =( implies( X, Y ), not( Y ) ) ), =( Y, not( truth ) ) ]
% 2.56/2.98 )
% 2.56/2.98 .
% 2.56/2.98 clause( 5998, [ =( truth, X ), ~( =( implies( Y, not( X ) ), X ) ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 6100, [ =( truth, X ), ~( =( implies( not( X ), X ), truth ) ) ] )
% 2.56/2.98 .
% 2.56/2.98 clause( 6623, [] )
% 2.56/2.98 .
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 % SZS output end Refutation
% 2.56/2.98 found a proof!
% 2.56/2.98
% 2.56/2.98 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.56/2.98
% 2.56/2.98 initialclauses(
% 2.56/2.98 [ clause( 6625, [ =( implies( truth, X ), X ) ] )
% 2.56/2.98 , clause( 6626, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 2.56/2.98 implies( X, Z ) ) ), truth ) ] )
% 2.56/2.98 , clause( 6627, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 2.56/2.98 ), X ) ) ] )
% 2.56/2.98 , clause( 6628, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X
% 2.56/2.98 ) ), truth ) ] )
% 2.56/2.98 , clause( 6629, [ =( implies( X, X ), truth ) ] )
% 2.56/2.98 , clause( 6630, [ ~( =( implies( X, Y ), implies( Y, X ) ) ), =( X, Y ) ]
% 2.56/2.98 )
% 2.56/2.98 , clause( 6631, [ =( implies( X, truth ), truth ) ] )
% 2.56/2.98 , clause( 6632, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 2.56/2.98 , clause( 6633, [ ~( =( implies( X, Y ), implies( Y, Z ) ) ), =( implies( X
% 2.56/2.98 , Z ), truth ) ] )
% 2.56/2.98 , clause( 6634, [ =( implies( implies( X, Y ), implies( implies( Z, X ),
% 2.56/2.98 implies( Z, Y ) ) ), truth ) ] )
% 2.56/2.98 , clause( 6635, [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X
% 2.56/2.98 , Z ) ) ) ] )
% 2.56/2.98 , clause( 6636, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 2.56/2.98 , clause( 6637, [ =( not( not( X ) ), X ) ] )
% 2.56/2.98 , clause( 6638, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 2.56/2.98 , clause( 6639, [ ~( =( implies( implies( implies( a, b ), implies( b, a )
% 2.56/2.98 ), implies( b, a ) ), truth ) ) ] )
% 2.56/2.98 ] ).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 subsumption(
% 2.56/2.98 clause( 0, [ =( implies( truth, X ), X ) ] )
% 2.56/2.98 , clause( 6625, [ =( implies( truth, X ), X ) ] )
% 2.56/2.98 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 subsumption(
% 2.56/2.98 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 2.56/2.98 X, Z ) ) ), truth ) ] )
% 2.56/2.98 , clause( 6626, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 2.56/2.98 implies( X, Z ) ) ), truth ) ] )
% 2.56/2.98 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.56/2.98 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 subsumption(
% 2.56/2.98 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 2.56/2.98 ) ) ] )
% 2.56/2.98 , clause( 6627, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 2.56/2.98 ), X ) ) ] )
% 2.56/2.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.56/2.98 )] ) ).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 subsumption(
% 2.56/2.98 clause( 5, [ ~( =( implies( X, Y ), implies( Y, X ) ) ), =( X, Y ) ] )
% 2.56/2.98 , clause( 6630, [ ~( =( implies( X, Y ), implies( Y, X ) ) ), =( X, Y ) ]
% 2.56/2.98 )
% 2.56/2.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.56/2.98 ), ==>( 1, 1 )] ) ).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 subsumption(
% 2.56/2.98 clause( 6, [ =( implies( X, truth ), truth ) ] )
% 2.56/2.98 , clause( 6631, [ =( implies( X, truth ), truth ) ] )
% 2.56/2.98 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 subsumption(
% 2.56/2.98 clause( 7, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 2.56/2.98 , clause( 6632, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 2.56/2.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.56/2.98 )] ) ).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 subsumption(
% 2.56/2.98 clause( 8, [ ~( =( implies( X, Y ), implies( Y, Z ) ) ), =( implies( X, Z )
% 2.56/2.98 , truth ) ] )
% 2.56/2.98 , clause( 6633, [ ~( =( implies( X, Y ), implies( Y, Z ) ) ), =( implies( X
% 2.56/2.98 , Z ), truth ) ] )
% 2.56/2.98 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.56/2.98 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 subsumption(
% 2.56/2.98 clause( 10, [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z )
% 2.56/2.98 ) ) ] )
% 2.56/2.98 , clause( 6635, [ =( implies( X, implies( Y, Z ) ), implies( Y, implies( X
% 2.56/2.98 , Z ) ) ) ] )
% 2.56/2.98 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.56/2.98 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 subsumption(
% 2.56/2.98 clause( 11, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 2.56/2.98 , clause( 6636, [ =( implies( X, not( truth ) ), not( X ) ) ] )
% 2.56/2.98 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 subsumption(
% 2.56/2.98 clause( 12, [ =( not( not( X ) ), X ) ] )
% 2.56/2.98 , clause( 6637, [ =( not( not( X ) ), X ) ] )
% 2.56/2.98 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 subsumption(
% 2.56/2.98 clause( 13, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 2.56/2.98 , clause( 6638, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 2.56/2.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.56/2.98 )] ) ).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 subsumption(
% 2.56/2.98 clause( 14, [ ~( =( implies( implies( implies( a, b ), implies( b, a ) ),
% 2.56/2.98 implies( b, a ) ), truth ) ) ] )
% 2.56/2.98 , clause( 6639, [ ~( =( implies( implies( implies( a, b ), implies( b, a )
% 2.56/2.98 ), implies( b, a ) ), truth ) ) ] )
% 2.56/2.98 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 eqswap(
% 2.56/2.98 clause( 6738, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z
% 2.56/2.98 ), implies( X, Z ) ) ) ) ] )
% 2.56/2.98 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 2.56/2.98 implies( X, Z ) ) ), truth ) ] )
% 2.56/2.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 paramod(
% 2.56/2.98 clause( 6744, [ =( truth, implies( implies( X, implies( Y, Z ) ), implies(
% 2.56/2.98 truth, implies( X, implies( implies( Z, T ), implies( Y, T ) ) ) ) ) ) ]
% 2.56/2.98 )
% 2.56/2.98 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 2.56/2.98 implies( X, Z ) ) ), truth ) ] )
% 2.56/2.98 , 0, clause( 6738, [ =( truth, implies( implies( X, Y ), implies( implies(
% 2.56/2.98 Y, Z ), implies( X, Z ) ) ) ) ] )
% 2.56/2.98 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 2.56/2.98 substitution( 1, [ :=( X, X ), :=( Y, implies( Y, Z ) ), :=( Z, implies(
% 2.56/2.98 implies( Z, T ), implies( Y, T ) ) )] )).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 paramod(
% 2.56/2.98 clause( 6746, [ =( truth, implies( implies( X, implies( Y, Z ) ), implies(
% 2.56/2.98 X, implies( implies( Z, T ), implies( Y, T ) ) ) ) ) ] )
% 2.56/2.98 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 2.56/2.98 , 0, clause( 6744, [ =( truth, implies( implies( X, implies( Y, Z ) ),
% 2.56/2.98 implies( truth, implies( X, implies( implies( Z, T ), implies( Y, T ) ) )
% 2.56/2.98 ) ) ) ] )
% 2.56/2.98 , 0, 8, substitution( 0, [ :=( X, implies( X, implies( implies( Z, T ),
% 2.56/2.98 implies( Y, T ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 2.56/2.98 Z, Z ), :=( T, T )] )).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 eqswap(
% 2.56/2.98 clause( 6747, [ =( implies( implies( X, implies( Y, Z ) ), implies( X,
% 2.56/2.98 implies( implies( Z, T ), implies( Y, T ) ) ) ), truth ) ] )
% 2.56/2.98 , clause( 6746, [ =( truth, implies( implies( X, implies( Y, Z ) ), implies(
% 2.56/2.98 X, implies( implies( Z, T ), implies( Y, T ) ) ) ) ) ] )
% 2.56/2.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 2.56/2.98 ).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 subsumption(
% 2.56/2.98 clause( 16, [ =( implies( implies( T, implies( X, Y ) ), implies( T,
% 2.56/2.98 implies( implies( Y, Z ), implies( X, Z ) ) ) ), truth ) ] )
% 2.56/2.98 , clause( 6747, [ =( implies( implies( X, implies( Y, Z ) ), implies( X,
% 2.56/2.98 implies( implies( Z, T ), implies( Y, T ) ) ) ), truth ) ] )
% 2.56/2.98 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 2.56/2.98 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 eqswap(
% 2.56/2.98 clause( 6749, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z
% 2.56/2.98 ), implies( X, Z ) ) ) ) ] )
% 2.56/2.98 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 2.56/2.98 implies( X, Z ) ) ), truth ) ] )
% 2.56/2.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 paramod(
% 2.56/2.98 clause( 6753, [ =( truth, implies( implies( truth, X ), implies( implies( X
% 2.56/2.98 , Y ), Y ) ) ) ] )
% 2.56/2.98 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 2.56/2.98 , 0, clause( 6749, [ =( truth, implies( implies( X, Y ), implies( implies(
% 2.56/2.98 Y, Z ), implies( X, Z ) ) ) ) ] )
% 2.56/2.98 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, truth
% 2.56/2.98 ), :=( Y, X ), :=( Z, Y )] )).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 paramod(
% 2.56/2.98 clause( 6755, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 2.56/2.98 )
% 2.56/2.98 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 2.56/2.98 , 0, clause( 6753, [ =( truth, implies( implies( truth, X ), implies(
% 2.56/2.98 implies( X, Y ), Y ) ) ) ] )
% 2.56/2.98 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.56/2.98 :=( Y, Y )] )).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 eqswap(
% 2.56/2.98 clause( 6756, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 2.56/2.98 )
% 2.56/2.98 , clause( 6755, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 2.56/2.98 )
% 2.56/2.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 subsumption(
% 2.56/2.98 clause( 19, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 2.56/2.98 , clause( 6756, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 2.56/2.98 )
% 2.56/2.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.56/2.98 )] ) ).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 eqswap(
% 2.56/2.98 clause( 6758, [ =( truth, implies( X, implies( Y, X ) ) ) ] )
% 2.56/2.98 , clause( 7, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 2.56/2.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 paramod(
% 2.56/2.98 clause( 6761, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 2.56/2.98 , clause( 13, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 2.56/2.98 , 0, clause( 6758, [ =( truth, implies( X, implies( Y, X ) ) ) ] )
% 2.56/2.98 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.56/2.98 :=( X, not( X ) ), :=( Y, not( Y ) )] )).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 eqswap(
% 2.56/2.98 clause( 6762, [ =( implies( not( X ), implies( X, Y ) ), truth ) ] )
% 2.56/2.98 , clause( 6761, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 2.56/2.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 subsumption(
% 2.56/2.98 clause( 24, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 2.56/2.98 , clause( 6762, [ =( implies( not( X ), implies( X, Y ) ), truth ) ] )
% 2.56/2.98 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.56/2.98 )] ) ).
% 2.56/2.98
% 2.56/2.98
% 2.56/2.98 eqswap(
% 2.56/2.98 clause( 6764, [ =( implies( Y, X ), implies( not( X ), not( Y ) ) ) ] )
% 2.56/2.98 , clause( 13, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 2.56/2.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.56/2.99
% 2.56/2.99
% 2.56/2.99 paramod(
% 2.56/2.99 clause( 6765, [ =( implies( X, not( Y ) ), implies( Y, not( X ) ) ) ] )
% 2.56/2.99 , clause( 12, [ =( not( not( X ) ), X ) ] )
% 2.56/2.99 , 0, clause( 6764, [ =( implies( Y, X ), implies( not( X ), not( Y ) ) ) ]
% 2.56/2.99 )
% 2.56/2.99 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, not( Y
% 2.56/2.99 ) ), :=( Y, X )] )).
% 2.56/2.99
% 2.56/2.99
% 2.56/2.99 subsumption(
% 2.56/2.99 clause( 25, [ =( implies( X, not( Y ) ), implies( Y, not( X ) ) ) ] )
% 2.56/2.99 , clause( 6765, [ =( implies( X, not( Y ) ), implies( Y, not( X ) ) ) ] )
% 2.56/2.99 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.56/2.99 )] ) ).
% 2.56/2.99
% 2.56/2.99
% 2.56/2.99 eqswap(
% 2.56/2.99 clause( 6768, [ =( implies( Y, X ), implies( not( X ), not( Y ) ) ) ] )
% 2.56/2.99 , clause( 13, [ =( implies( not( X ), not( Y ) ), implies( Y, X ) ) ] )
% 2.56/2.99 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.56/2.99
% 2.56/2.99
% 2.56/2.99 paramod(
% 2.56/2.99 clause( 6770, [ =( implies( not( X ), Y ), implies( not( Y ), X ) ) ] )
% 2.56/2.99 , clause( 12, [ =( not( not( X ) ), X ) ] )
% 2.56/2.99 , 0, clause( 6768, [ =( implies( Y, X ), implies( not( X ), not( Y ) ) ) ]
% 2.56/2.99 )
% 2.56/2.99 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 2.56/2.99 :=( Y, not( X ) )] )).
% 2.56/2.99
% 2.56/2.99
% 2.56/2.99 subsumption(
% 2.56/2.99 clause( 26, [ =( implies( not( Y ), X ), implies( not( X ), Y ) ) ] )
% 2.56/2.99 , clause( 6770, [ =( implies( not( X ), Y ), implies( not( Y ), X ) ) ] )
% 2.56/2.99 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.56/2.99 )] ) ).
% 2.56/2.99
% 2.56/2.99
% 2.56/2.99 eqswap(
% 2.56/2.99 clause( 6772, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 2.56/2.99 , clause( 24, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 2.56/2.99 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.56/2.99
% 2.56/2.99
% 2.56/2.99 paramod(
% 2.56/2.99 clause( 6773, [ =( truth, implies( X, implies( not( X ), Y ) ) ) ] )
% 2.56/2.99 , clause( 12, [ =( not( not( X ) ), X ) ] )
% 2.56/2.99 , 0, clause( 6772, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 2.56/2.99 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, not( X
% 2.56/2.99 ) ), :=( Y, Y )] )).
% 2.56/2.99
% 2.56/2.99
% 2.56/2.99 eqswap(
% 2.56/2.99 clause( 6774, [ =( implies( X, implies( not( X ), Y ) ), truth ) ] )
% 2.56/2.99 , clause( 6773, [ =( truth, implies( X, implies( not( X ), Y ) ) ) ] )
% 2.56/2.99 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.56/2.99
% 2.56/2.99
% 2.56/2.99 subsumption(
% 2.56/2.99 clause( 29, [ =( implies( X, implies( not( X ), Y ) ), truth ) ] )
% 2.56/2.99 , clause( 6774, [ =( implies( X, implies( not( X ), Y ) ), truth ) ] )
% 2.56/2.99 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.56/2.99 )] ) ).
% 2.56/2.99
% 2.56/2.99
% 2.56/2.99 eqswap(
% 2.56/2.99 clause( 6776, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 2.56/2.99 , clause( 24, [ =( implies( not( Y ), implies( Y, X ) ), truth ) ] )
% 2.56/2.99 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.56/2.99
% 2.56/2.99
% 2.56/2.99 paramod(
% 2.56/2.99 clause( 6777, [ =( truth, implies( not( truth ), X ) ) ] )
% 2.56/2.99 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 2.56/2.99 , 0, clause( 6776, [ =( truth, implies( not( X ), implies( X, Y ) ) ) ] )
% 2.56/2.99 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 2.56/2.99 , :=( Y, X )] )).
% 2.56/2.99
% 2.56/2.99
% 2.56/2.99 eqswap(
% 2.56/2.99 clause( 6778, [ =( implies( not( truth ), X ), truth ) ] )
% 2.56/2.99 , clause( 6777, [ =( truth, implies( not( truth ), X ) ) ] )
% 2.56/2.99 , 0, substitution( 0, [ :=( X, X )] )).
% 2.56/2.99
% 2.56/2.99
% 2.56/2.99 subsumption(
% 2.56/2.99 clause( 30, [ =( implies( not( truth ), X ), truth ) ] )
% 2.56/2.99 , clause( 6778, [ =( implies( not( truth ), X ), truth ) ] )
% 2.56/2.99 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.56/2.99
% 2.56/2.99
% 2.56/2.99 paramod(
% 2.56/2.99 clause( 6783, [ =( implies( implies( X, implies( Y, X ) ), implies( Y, X )
% 2.56/2.99 ), implies( implies( implies( X, Y ), Y ), X ) ) ] )
% 2.56/2.99 , clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ),
% 2.56/2.99 X ) ) ] )
% 2.56/2.99 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 2.56/2.99 ), X ) ) ] )
% 2.56/2.99 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.56/2.99 :=( X, X ), :=( Y, implies( Y, X ) )] )).
% 2.56/2.99
% 2.56/2.99
% 2.56/2.99 paramod(
% 2.56/2.99 clause( 6790, [ =( implies( truth, implies( Y, X ) ), implies( implies(
% 2.56/2.99 implies( X, Y ), Y ), X ) ) ] )
% 2.56/2.99 , clause( 7, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 2.56/2.99 , 0, clause( 6783, [ =( implies( implies( X, implies( Y, X ) ), implies( Y
% 2.56/2.99 , X ) ), implies( implies( implies( X, Y ), Y ), X ) ) ] )
% 2.56/2.99 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.56/2.99 :=( X, X ), :=( Y, Y )] )).
% 2.56/2.99
% 2.56/2.99
% 2.56/2.99 paramod(
% 2.56/2.99 clause( 6791, [ =( implies( X, Y ), implies( implies( implies( Y, X ), X )
% 2.56/2.99 , Y ) ) ] )
% 2.56/2.99 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 2.56/2.99 , 0, clause( 6790, [ =( implies( truth, implies( Y, X ) ), implies( implies(
% 2.56/2.99 implies( X, Y ), Y ), X ) ) ] )
% 2.56/2.99 , 0, 1, substitution( 0, [ :=( X, implies( X, Y ) )] ), substitution( 1, [
% 2.56/2.99 :=( X, Y ), :=( Y, X )] )).
% 2.56/2.99
% 2.56/2.99
% 2.56/2.99 eqswap(
% 2.56/2.99 clause( 6792, [ =( implies( implies( implies( Y, X ), X ), Y ), implies( X
% 2.56/2.99 , Y ) ) ] )
% 2.56/2.99 , clause( 6791, [ =( implies( X, Y ), implies( implies( implies( Y, X ), X
% 2.56/2.99 ), Y ) ) ] )
% 2.56/2.99 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.56/2.99
% 2.56/2.99
% 2.56/2.99 subsumption(
% 2.56/2.99 clause( 31, [ =( implies( implies( implies( Y, X ), X ), Y ), implies( X, Y
% 2.56/2.99 ) ) ] )
% 2.56/2.99 , clause( 6792, [ =( implies( implies( implies( Y, X ), X ), Y ), implies(
% 2.56/2.99 X, Y ) ) ] )
% 2.56/2.99 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.56/2.99 )] ) ).
% 2.56/2.99
% 2.56/2.99
% 2.56/2.99 paramod(
% 2.56/2.99 clause( 6798, [ =( implies( implies( implies( X, Y ), Y ), Y ), implies(
% 2.56/2.99 truth, implies( X, Y ) ) ) ] )
% 2.56/2.99 , clause( 7, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 2.56/2.99 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( impCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------