TSTP Solution File: LCL094-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL094-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 07:50:15 EDT 2022
% Result : Unsatisfiable 0.45s 1.14s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL094-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n029.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 15:05:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.45/1.14 *** allocated 10000 integers for termspace/termends
% 0.45/1.14 *** allocated 10000 integers for clauses
% 0.45/1.14 *** allocated 10000 integers for justifications
% 0.45/1.14 Bliksem 1.12
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 Automatic Strategy Selection
% 0.45/1.14
% 0.45/1.14 Clauses:
% 0.45/1.14 [
% 0.45/1.14 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.45/1.14 'is_a_theorem'( Y ) ],
% 0.45/1.14 [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z, T ) ),
% 0.45/1.14 implies( U, implies( implies( T, X ), implies( Z, X ) ) ) ) ) ],
% 0.45/1.14 [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b ), b ) ) ) ) ]
% 0.45/1.14 ] .
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 percentage equality = 0.000000, percentage horn = 1.000000
% 0.45/1.14 This is a near-Horn, non-equality problem
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 Options Used:
% 0.45/1.14
% 0.45/1.14 useres = 1
% 0.45/1.14 useparamod = 0
% 0.45/1.14 useeqrefl = 0
% 0.45/1.14 useeqfact = 0
% 0.45/1.14 usefactor = 1
% 0.45/1.14 usesimpsplitting = 0
% 0.45/1.14 usesimpdemod = 0
% 0.45/1.14 usesimpres = 4
% 0.45/1.14
% 0.45/1.14 resimpinuse = 1000
% 0.45/1.14 resimpclauses = 20000
% 0.45/1.14 substype = standard
% 0.45/1.14 backwardsubs = 1
% 0.45/1.14 selectoldest = 5
% 0.45/1.14
% 0.45/1.14 litorderings [0] = split
% 0.45/1.14 litorderings [1] = liftord
% 0.45/1.14
% 0.45/1.14 termordering = none
% 0.45/1.14
% 0.45/1.14 litapriori = 1
% 0.45/1.14 termapriori = 0
% 0.45/1.14 litaposteriori = 0
% 0.45/1.14 termaposteriori = 0
% 0.45/1.14 demodaposteriori = 0
% 0.45/1.14 ordereqreflfact = 0
% 0.45/1.14
% 0.45/1.14 litselect = negative
% 0.45/1.14
% 0.45/1.14 maxweight = 30000
% 0.45/1.14 maxdepth = 30000
% 0.45/1.14 maxlength = 115
% 0.45/1.14 maxnrvars = 195
% 0.45/1.14 excuselevel = 0
% 0.45/1.14 increasemaxweight = 0
% 0.45/1.14
% 0.45/1.14 maxselected = 10000000
% 0.45/1.14 maxnrclauses = 10000000
% 0.45/1.14
% 0.45/1.14 showgenerated = 0
% 0.45/1.14 showkept = 0
% 0.45/1.14 showselected = 0
% 0.45/1.14 showdeleted = 0
% 0.45/1.14 showresimp = 1
% 0.45/1.14 showstatus = 2000
% 0.45/1.14
% 0.45/1.14 prologoutput = 1
% 0.45/1.14 nrgoals = 5000000
% 0.45/1.14 totalproof = 1
% 0.45/1.14
% 0.45/1.14 Symbols occurring in the translation:
% 0.45/1.14
% 0.45/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.45/1.14 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.45/1.14 ! [4, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.45/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.14 implies [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.45/1.14 'is_a_theorem' [42, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.45/1.14 a [48, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.45/1.14 b [49, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 Starting Search:
% 0.45/1.14
% 0.45/1.14 Resimplifying inuse:
% 0.45/1.14 Done
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 Bliksems!, er is een bewijs:
% 0.45/1.14 % SZS status Unsatisfiable
% 0.45/1.14 % SZS output start Refutation
% 0.45/1.14
% 0.45/1.14 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.45/1.14 ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z
% 0.45/1.14 , T ) ), implies( U, implies( implies( T, X ), implies( Z, X ) ) ) ) ) ]
% 0.45/1.14 )
% 0.45/1.14 .
% 0.45/1.14 clause( 2, [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b ), b ) )
% 0.45/1.14 ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.45/1.14 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 4, [ 'is_a_theorem'( implies( X, implies( implies( implies( implies(
% 0.45/1.14 Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W, implies( Z, U )
% 0.45/1.14 ) ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.45/1.14 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 0.45/1.14 )
% 0.45/1.14 .
% 0.45/1.14 clause( 7, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y, Z
% 0.45/1.14 ), implies( T, Z ) ) ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 8, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.45/1.14 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 9, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), implies(
% 0.45/1.14 Z, Y ) ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 10, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 0.45/1.14 implies( Y, implies( implies( Y, Z ), implies( T, Z ) ) ) ), U ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 26, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.45/1.14 implies( Y, Z ), implies( T, Z ) ), U ), implies( Y, U ) ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 27, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.45/1.14 implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 31, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.45/1.14 Z, implies( Y, Z ) ) ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 33, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.45/1.14 X, Y ) ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 38, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 60, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z )
% 0.45/1.14 , Y ), implies( Z, Y ) ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 61, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.45/1.14 implies( Y, X ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 66, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( implies( X, Y ), X ), implies( Y, X ) ), Z ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 86, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 0.45/1.14 ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 90, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 93, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.45/1.14 implies( Y, X ) ), Z ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 105, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, X
% 0.45/1.14 ) ), Z ), implies( T, Z ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 107, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.45/1.14 ), Y ), implies( T, Y ) ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 119, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( implies( X, implies( Y, X ) ), Z ), implies( T, Z ) ), U ) ) ) ]
% 0.45/1.14 )
% 0.45/1.14 .
% 0.45/1.14 clause( 127, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.45/1.14 implies( Z, X ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 133, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 508, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Y
% 0.45/1.14 , Z ) ), implies( T, implies( Y, Z ) ) ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 514, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 0.45/1.14 implies( Z, implies( X, Y ) ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 520, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( X, implies( X, Y ) ), implies( Z, implies( X, Y ) ) ), T ) ) ) ]
% 0.45/1.14 )
% 0.45/1.14 .
% 0.45/1.14 clause( 1087, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Y
% 0.45/1.14 , Z ) ), implies( Y, Z ) ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 1159, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 0.45/1.14 implies( X, Y ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 1165, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( X, implies( X, Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 1229, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y ) )
% 0.45/1.14 ) ] )
% 0.45/1.14 .
% 0.45/1.14 clause( 1262, [] )
% 0.45/1.14 .
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 % SZS output end Refutation
% 0.45/1.14 found a proof!
% 0.45/1.14
% 0.45/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.14
% 0.45/1.14 initialclauses(
% 0.45/1.14 [ clause( 1264, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.45/1.14 X ) ), 'is_a_theorem'( Y ) ] )
% 0.45/1.14 , clause( 1265, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.14 implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X )
% 0.45/1.14 ) ) ) ) ] )
% 0.45/1.14 , clause( 1266, [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b ),
% 0.45/1.14 b ) ) ) ) ] )
% 0.45/1.14 ] ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.45/1.14 ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.14 , clause( 1264, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.45/1.14 X ) ), 'is_a_theorem'( Y ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.14 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z
% 0.45/1.14 , T ) ), implies( U, implies( implies( T, X ), implies( Z, X ) ) ) ) ) ]
% 0.45/1.14 )
% 0.45/1.14 , clause( 1265, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.14 implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X )
% 0.45/1.14 ) ) ) ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.14 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 2, [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b ), b ) )
% 0.45/1.14 ) ) ] )
% 0.45/1.14 , clause( 1266, [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b ),
% 0.45/1.14 b ) ) ) ) ] )
% 0.45/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1268, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.45/1.14 ), implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z,
% 0.45/1.14 X ) ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.45/1.14 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.14 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.14 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.14 implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X )
% 0.45/1.14 ) ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), implies(
% 0.45/1.14 Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X ) ) ) ) ),
% 0.45/1.14 :=( Y, W )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 0.45/1.14 :=( T, T ), :=( U, U )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.45/1.14 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.45/1.14 , clause( 1268, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.45/1.14 , Y ), implies( Z, T ) ), implies( U, implies( implies( T, X ), implies(
% 0.45/1.14 Z, X ) ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.14 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1269, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.45/1.14 implies( Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W,
% 0.45/1.14 implies( Z, U ) ) ) ) ) ] )
% 0.45/1.14 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.45/1.14 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.45/1.14 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.14 implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X )
% 0.45/1.14 ) ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, Z ), :=( Y, U ), :=( Z, T ), :=( T, Y ),
% 0.45/1.14 :=( U, W ), :=( W, implies( X, implies( implies( implies( implies( Y, Z )
% 0.45/1.14 , implies( T, Z ) ), implies( Z, U ) ), implies( W, implies( Z, U ) ) ) )
% 0.45/1.14 )] ), substitution( 1, [ :=( X, implies( Z, U ) ), :=( Y, implies( T, Y
% 0.45/1.14 ) ), :=( Z, W ), :=( T, implies( implies( Y, Z ), implies( T, Z ) ) ),
% 0.45/1.14 :=( U, X )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 4, [ 'is_a_theorem'( implies( X, implies( implies( implies( implies(
% 0.45/1.14 Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W, implies( Z, U )
% 0.45/1.14 ) ) ) ) ] )
% 0.45/1.14 , clause( 1269, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.45/1.14 implies( Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W,
% 0.45/1.14 implies( Z, U ) ) ) ) ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.14 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1270, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.45/1.14 , implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) )
% 0.45/1.14 ] )
% 0.45/1.14 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.45/1.14 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.45/1.14 , 1, clause( 4, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.45/1.14 implies( Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W,
% 0.45/1.14 implies( Z, U ) ) ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, V1 ), :=( T, V2 ),
% 0.45/1.14 :=( U, V3 ), :=( W, implies( implies( implies( implies( X, Y ), implies(
% 0.45/1.14 Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) )] ),
% 0.45/1.14 substitution( 1, [ :=( X, implies( implies( implies( W, V0 ), implies( V1
% 0.45/1.14 , V2 ) ), implies( V3, implies( implies( V2, W ), implies( V1, W ) ) ) )
% 0.45/1.14 ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T ), :=( W, U )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.45/1.14 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 0.45/1.14 )
% 0.45/1.14 , clause( 1270, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.45/1.14 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.45/1.14 ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.14 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1271, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y
% 0.45/1.14 , Z ), implies( T, Z ) ) ) ) ) ] )
% 0.45/1.14 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.45/1.14 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.45/1.14 , 1, clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.45/1.14 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.45/1.14 ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, Y ),
% 0.45/1.14 :=( U, Y ), :=( W, implies( X, implies( Y, implies( implies( Y, Z ),
% 0.45/1.14 implies( T, Z ) ) ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, Y ),
% 0.45/1.14 :=( Z, T ), :=( T, implies( implies( Y, Z ), implies( T, Z ) ) ), :=( U,
% 0.45/1.14 X )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 7, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y, Z
% 0.45/1.14 ), implies( T, Z ) ) ) ) ) ] )
% 0.45/1.14 , clause( 1271, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.45/1.14 Y, Z ), implies( T, Z ) ) ) ) ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.45/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1273, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.45/1.14 implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ), implies( U,
% 0.45/1.14 implies( Y, T ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.45/1.14 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.14 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.14 , 2, clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.45/1.14 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.45/1.14 ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.45/1.14 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ),
% 0.45/1.14 :=( Y, W )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 0.45/1.14 :=( T, T ), :=( U, U )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 8, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.45/1.14 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.45/1.14 , clause( 1273, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.45/1.14 implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ), implies( U,
% 0.45/1.14 implies( Y, T ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.14 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1274, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 0.45/1.14 implies( Z, Y ) ) ) ) ] )
% 0.45/1.14 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.45/1.14 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.45/1.14 , 1, clause( 7, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.45/1.14 Y, Z ), implies( T, Z ) ) ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, V0 ),
% 0.45/1.14 :=( U, V1 ), :=( W, implies( X, implies( implies( X, Y ), implies( Z, Y )
% 0.45/1.14 ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies( T, U ),
% 0.45/1.14 implies( W, V0 ) ), implies( V1, implies( implies( V0, T ), implies( W, T
% 0.45/1.14 ) ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 9, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), implies(
% 0.45/1.14 Z, Y ) ) ) ) ] )
% 0.45/1.14 , clause( 1274, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 0.45/1.14 implies( Z, Y ) ) ) ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1276, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.45/1.14 implies( Y, Z ), implies( T, Z ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.45/1.14 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.14 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.14 , 2, clause( 7, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.45/1.14 Y, Z ), implies( T, Z ) ) ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( implies( Y
% 0.45/1.14 , Z ), implies( T, Z ) ) ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X,
% 0.45/1.14 X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 10, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 0.45/1.14 implies( Y, implies( implies( Y, Z ), implies( T, Z ) ) ) ), U ) ) ) ] )
% 0.45/1.14 , clause( 1276, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.45/1.14 implies( implies( Y, Z ), implies( T, Z ) ) ) ), U ) ) ), 'is_a_theorem'(
% 0.45/1.14 U ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.14 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1277, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.45/1.14 implies( Y, Z ), implies( T, Z ) ), U ), implies( Y, U ) ) ) ) ] )
% 0.45/1.14 , clause( 10, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 0.45/1.14 , implies( Y, implies( implies( Y, Z ), implies( T, Z ) ) ) ), U ) ) ) ]
% 0.45/1.14 )
% 0.45/1.14 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.14 implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X )
% 0.45/1.14 ) ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, implies( U, W ) ), :=( Y, Y ), :=( Z, Z ),
% 0.45/1.14 :=( T, T ), :=( U, implies( X, implies( implies( implies( implies( Y, Z )
% 0.45/1.14 , implies( T, Z ) ), U ), implies( Y, U ) ) ) )] ), substitution( 1, [
% 0.45/1.14 :=( X, U ), :=( Y, W ), :=( Z, Y ), :=( T, implies( implies( Y, Z ),
% 0.45/1.14 implies( T, Z ) ) ), :=( U, X )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 26, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.45/1.14 implies( Y, Z ), implies( T, Z ) ), U ), implies( Y, U ) ) ) ) ] )
% 0.45/1.14 , clause( 1277, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.45/1.14 implies( Y, Z ), implies( T, Z ) ), U ), implies( Y, U ) ) ) ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.14 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1278, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.45/1.14 , implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 0.45/1.14 , clause( 10, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 0.45/1.14 , implies( Y, implies( implies( Y, Z ), implies( T, Z ) ) ) ), U ) ) ) ]
% 0.45/1.14 )
% 0.45/1.14 , 1, clause( 26, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.45/1.14 implies( Y, Z ), implies( T, Z ) ), U ), implies( Y, U ) ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 0.45/1.14 :=( U, implies( implies( implies( implies( X, Y ), implies( Z, Y ) ), T )
% 0.45/1.14 , implies( X, T ) ) )] ), substitution( 1, [ :=( X, implies( U, implies(
% 0.45/1.14 W, implies( implies( W, V0 ), implies( V1, V0 ) ) ) ) ), :=( Y, X ), :=(
% 0.45/1.14 Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 27, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.45/1.14 implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 0.45/1.14 , clause( 1278, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.45/1.14 ), implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.45/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1279, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.45/1.14 implies( Z, implies( Y, Z ) ) ) ) ) ] )
% 0.45/1.14 , clause( 8, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.45/1.14 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.45/1.14 , 1, clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.45/1.14 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.45/1.14 ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y ), :=( T, implies(
% 0.45/1.14 Y, Z ) ), :=( U, implies( Y, Z ) ), :=( W, implies( X, implies( implies(
% 0.45/1.14 Y, Z ), implies( Z, implies( Y, Z ) ) ) ) )] ), substitution( 1, [ :=( X
% 0.45/1.14 , implies( T, Z ) ), :=( Y, implies( Y, Z ) ), :=( Z, Z ), :=( T, implies(
% 0.45/1.14 Z, implies( Y, Z ) ) ), :=( U, X )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 31, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.45/1.14 Z, implies( Y, Z ) ) ) ) ) ] )
% 0.45/1.14 , clause( 1279, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.45/1.14 implies( Z, implies( Y, Z ) ) ) ) ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1280, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.45/1.14 implies( X, Y ) ) ) ) ] )
% 0.45/1.14 , clause( 8, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.45/1.14 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.45/1.14 , 1, clause( 31, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.45/1.14 implies( Z, implies( Y, Z ) ) ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 0.45/1.14 :=( U, V0 ), :=( W, implies( implies( X, Y ), implies( Y, implies( X, Y )
% 0.45/1.14 ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies( implies(
% 0.45/1.14 Z, T ), implies( U, T ) ), implies( T, W ) ), implies( V0, implies( T, W
% 0.45/1.14 ) ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 33, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.45/1.14 X, Y ) ) ) ) ] )
% 0.45/1.14 , clause( 1280, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.45/1.14 implies( X, Y ) ) ) ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.14 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1282, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.14 implies( Y, implies( X, Y ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.45/1.14 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.14 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.14 , 2, clause( 33, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.45/1.14 implies( X, Y ) ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Y,
% 0.45/1.14 implies( X, Y ) ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=(
% 0.45/1.14 Y, Y )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 38, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 0.45/1.14 , clause( 1282, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.14 implies( Y, implies( X, Y ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.14 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1283, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.45/1.14 ), Y ), implies( Z, Y ) ) ) ) ] )
% 0.45/1.14 , clause( 38, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 0.45/1.14 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.14 implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X )
% 0.45/1.14 ) ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 0.45/1.14 implies( implies( Y, Z ), Y ), implies( Z, Y ) ) ) )] ), substitution( 1
% 0.45/1.14 , [ :=( X, Y ), :=( Y, Z ), :=( Z, Z ), :=( T, implies( Y, Z ) ), :=( U,
% 0.45/1.14 X )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 60, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z )
% 0.45/1.14 , Y ), implies( Z, Y ) ) ) ) ] )
% 0.45/1.14 , clause( 1283, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.45/1.14 , Z ), Y ), implies( Z, Y ) ) ) ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1284, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.45/1.14 implies( Y, X ) ) ) ] )
% 0.45/1.14 , clause( 38, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 0.45/1.14 , 1, clause( 60, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.45/1.14 , Z ), Y ), implies( Z, Y ) ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, implies( implies(
% 0.45/1.14 implies( X, Y ), X ), implies( Y, X ) ) )] ), substitution( 1, [ :=( X,
% 0.45/1.14 implies( implies( Z, T ), implies( T, implies( Z, T ) ) ) ), :=( Y, X ),
% 0.45/1.14 :=( Z, Y )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 61, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.45/1.14 implies( Y, X ) ) ) ] )
% 0.45/1.14 , clause( 1284, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.45/1.14 implies( Y, X ) ) ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.14 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1286, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.45/1.14 ), X ), implies( Y, X ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.45/1.14 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.14 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.14 , 2, clause( 61, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.45/1.14 implies( Y, X ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), X ),
% 0.45/1.14 implies( Y, X ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.45/1.14 , Y )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 66, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( implies( X, Y ), X ), implies( Y, X ) ), Z ) ) ) ] )
% 0.45/1.14 , clause( 1286, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.45/1.14 , Y ), X ), implies( Y, X ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.14 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1287, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) )
% 0.45/1.14 ) ] )
% 0.45/1.14 , clause( 66, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( implies( X, Y ), X ), implies( Y, X ) ), Z ) ) ) ] )
% 0.45/1.14 , 1, clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.45/1.14 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.45/1.14 ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, implies( Z, Y ) ), :=( Y, Y ), :=( Z,
% 0.45/1.14 implies( X, implies( Y, implies( Z, Y ) ) ) )] ), substitution( 1, [ :=(
% 0.45/1.14 X, implies( Z, Y ) ), :=( Y, Y ), :=( Z, Z ), :=( T, implies( Z, Y ) ),
% 0.45/1.14 :=( U, X )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 86, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 0.45/1.14 ] )
% 0.45/1.14 , clause( 1287, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) )
% 0.45/1.14 ) ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1288, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.45/1.14 , clause( 66, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( implies( X, Y ), X ), implies( Y, X ) ), Z ) ) ) ] )
% 0.45/1.14 , 1, clause( 86, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 0.45/1.14 ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, implies( X, implies(
% 0.45/1.14 Y, X ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies( Z, T
% 0.45/1.14 ), Z ), implies( T, Z ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 90, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.45/1.14 , clause( 1288, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.14 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1290, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) ),
% 0.45/1.14 Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.45/1.14 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.14 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.14 , 2, clause( 90, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 0.45/1.14 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 93, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.45/1.14 implies( Y, X ) ), Z ) ) ) ] )
% 0.45/1.14 , clause( 1290, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 0.45/1.14 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.14 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1291, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, X
% 0.45/1.14 ) ), Z ), implies( T, Z ) ) ) ] )
% 0.45/1.14 , clause( 93, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.45/1.14 , implies( Y, X ) ), Z ) ) ) ] )
% 0.45/1.14 , 1, clause( 9, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 0.45/1.14 implies( Z, Y ) ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 0.45/1.14 implies( X, implies( Y, X ) ), Z ), implies( T, Z ) ) )] ),
% 0.45/1.14 substitution( 1, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z ),
% 0.45/1.14 :=( Z, T )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 105, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, X
% 0.45/1.14 ) ), Z ), implies( T, Z ) ) ) ] )
% 0.45/1.14 , clause( 1291, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.45/1.14 , X ) ), Z ), implies( T, Z ) ) ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.45/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1292, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.45/1.14 ), Y ), implies( T, Y ) ) ) ) ] )
% 0.45/1.14 , clause( 93, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.45/1.14 , implies( Y, X ) ), Z ) ) ) ] )
% 0.45/1.14 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.14 implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X )
% 0.45/1.14 ) ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, T ), :=( Z,
% 0.45/1.14 implies( X, implies( implies( implies( Y, Z ), Y ), implies( T, Y ) ) ) )] )
% 0.45/1.14 , substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.45/1.14 Y, Z ) ), :=( U, X )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 107, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.45/1.14 ), Y ), implies( T, Y ) ) ) ) ] )
% 0.45/1.14 , clause( 1292, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.45/1.14 , Z ), Y ), implies( T, Y ) ) ) ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.45/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1294, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.45/1.14 implies( Y, X ) ), Z ), implies( T, Z ) ), U ) ) ), 'is_a_theorem'( U ) ]
% 0.45/1.14 )
% 0.45/1.14 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.14 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.14 , 2, clause( 105, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.45/1.14 Y, X ) ), Z ), implies( T, Z ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, implies( Y, X
% 0.45/1.14 ) ), Z ), implies( T, Z ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X,
% 0.45/1.14 X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 119, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( implies( X, implies( Y, X ) ), Z ), implies( T, Z ) ), U ) ) ) ]
% 0.45/1.14 )
% 0.45/1.14 , clause( 1294, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.45/1.14 , implies( Y, X ) ), Z ), implies( T, Z ) ), U ) ) ), 'is_a_theorem'( U )
% 0.45/1.14 ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.14 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1295, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.45/1.14 implies( Z, X ) ) ) ] )
% 0.45/1.14 , clause( 93, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.45/1.14 , implies( Y, X ) ), Z ) ) ) ] )
% 0.45/1.14 , 1, clause( 107, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.45/1.14 Y, Z ), Y ), implies( T, Y ) ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, implies( implies(
% 0.45/1.14 implies( X, Y ), X ), implies( Z, X ) ) )] ), substitution( 1, [ :=( X,
% 0.45/1.14 implies( T, implies( U, T ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.45/1.14 ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 127, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.45/1.14 implies( Z, X ) ) ) ] )
% 0.45/1.14 , clause( 1295, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.45/1.14 implies( Z, X ) ) ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1297, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.45/1.14 ), X ), implies( Z, X ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.45/1.14 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.14 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.14 , 2, clause( 127, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X )
% 0.45/1.14 , implies( Z, X ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), X ),
% 0.45/1.14 implies( Z, X ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.45/1.14 , Y ), :=( Z, Z )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 133, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 0.45/1.14 , clause( 1297, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.45/1.14 , Y ), X ), implies( Z, X ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.45/1.14 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1298, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Y
% 0.45/1.14 , Z ) ), implies( T, implies( Y, Z ) ) ) ) ) ] )
% 0.45/1.14 , clause( 133, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 0.45/1.14 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.14 implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X )
% 0.45/1.14 ) ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.45/1.14 X, implies( implies( Y, implies( Y, Z ) ), implies( T, implies( Y, Z ) )
% 0.45/1.14 ) ) )] ), substitution( 1, [ :=( X, implies( Y, Z ) ), :=( Y, Y ), :=( Z
% 0.45/1.14 , T ), :=( T, Y ), :=( U, X )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 508, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Y
% 0.45/1.14 , Z ) ), implies( T, implies( Y, Z ) ) ) ) ) ] )
% 0.45/1.14 , clause( 1298, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies(
% 0.45/1.14 Y, Z ) ), implies( T, implies( Y, Z ) ) ) ) ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.45/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1299, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 0.45/1.14 implies( Z, implies( X, Y ) ) ) ) ] )
% 0.45/1.14 , clause( 133, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 0.45/1.14 , 1, clause( 508, [ 'is_a_theorem'( implies( X, implies( implies( Y,
% 0.45/1.14 implies( Y, Z ) ), implies( T, implies( Y, Z ) ) ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, implies(
% 0.45/1.14 implies( X, implies( X, Y ) ), implies( Z, implies( X, Y ) ) ) )] ),
% 0.45/1.14 substitution( 1, [ :=( X, implies( implies( implies( T, U ), T ), implies(
% 0.45/1.14 W, T ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 514, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 0.45/1.14 implies( Z, implies( X, Y ) ) ) ) ] )
% 0.45/1.14 , clause( 1299, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 0.45/1.14 implies( Z, implies( X, Y ) ) ) ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1301, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies( X
% 0.45/1.14 , Y ) ), implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ]
% 0.45/1.14 )
% 0.45/1.14 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.14 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.14 , 2, clause( 514, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) )
% 0.45/1.14 , implies( Z, implies( X, Y ) ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( X, Y ) ),
% 0.45/1.14 implies( Z, implies( X, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=(
% 0.45/1.14 X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 520, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( X, implies( X, Y ) ), implies( Z, implies( X, Y ) ) ), T ) ) ) ]
% 0.45/1.14 )
% 0.45/1.14 , clause( 1301, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.45/1.14 X, Y ) ), implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ]
% 0.45/1.14 )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.45/1.14 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1302, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Y
% 0.45/1.14 , Z ) ), implies( Y, Z ) ) ) ) ] )
% 0.45/1.14 , clause( 520, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( X, implies( X, Y ) ), implies( Z, implies( X, Y ) ) ), T ) ) ) ]
% 0.45/1.14 )
% 0.45/1.14 , 1, clause( 514, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) )
% 0.45/1.14 , implies( Z, implies( X, Y ) ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( Y, implies(
% 0.45/1.14 Y, Z ) ) ), :=( T, implies( X, implies( implies( Y, implies( Y, Z ) ),
% 0.45/1.14 implies( Y, Z ) ) ) )] ), substitution( 1, [ :=( X, implies( Y, implies(
% 0.45/1.14 Y, Z ) ) ), :=( Y, implies( Y, Z ) ), :=( Z, X )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 1087, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Y
% 0.45/1.14 , Z ) ), implies( Y, Z ) ) ) ) ] )
% 0.45/1.14 , clause( 1302, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies(
% 0.45/1.14 Y, Z ) ), implies( Y, Z ) ) ) ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1303, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 0.45/1.14 implies( X, Y ) ) ) ] )
% 0.45/1.14 , clause( 119, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( implies( X, implies( Y, X ) ), Z ), implies( T, Z ) ), U ) ) ) ]
% 0.45/1.14 )
% 0.45/1.14 , 1, clause( 1087, [ 'is_a_theorem'( implies( X, implies( implies( Y,
% 0.45/1.14 implies( Y, Z ) ), implies( Y, Z ) ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 0.45/1.14 :=( U, implies( implies( X, implies( X, Y ) ), implies( X, Y ) ) )] ),
% 0.45/1.14 substitution( 1, [ :=( X, implies( implies( implies( Z, implies( T, Z ) )
% 0.45/1.14 , U ), implies( W, U ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 1159, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 0.45/1.14 implies( X, Y ) ) ) ] )
% 0.45/1.14 , clause( 1303, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 0.45/1.14 implies( X, Y ) ) ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.14 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1305, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies( X
% 0.45/1.14 , Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.45/1.14 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.14 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.14 , 2, clause( 1159, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) )
% 0.45/1.14 , implies( X, Y ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( X, Y ) ),
% 0.45/1.14 implies( X, Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.45/1.14 , Y )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 1165, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( X, implies( X, Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.45/1.14 , clause( 1305, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.45/1.14 X, Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.14 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1306, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y ) )
% 0.45/1.14 ) ] )
% 0.45/1.14 , clause( 1165, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.14 implies( X, implies( X, Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.45/1.14 , 1, clause( 27, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.45/1.14 ), implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, Y ), :=( Z,
% 0.45/1.14 implies( X, implies( implies( X, Y ), Y ) ) )] ), substitution( 1, [ :=(
% 0.45/1.14 X, X ), :=( Y, Y ), :=( Z, implies( X, Y ) ), :=( T, implies( implies( X
% 0.45/1.14 , Y ), Y ) )] )).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 1229, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y ) )
% 0.45/1.14 ) ] )
% 0.45/1.14 , clause( 1306, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 0.45/1.14 ) ) ] )
% 0.45/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.14 )] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 resolution(
% 0.45/1.14 clause( 1307, [] )
% 0.45/1.14 , clause( 2, [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b ), b )
% 0.45/1.14 ) ) ) ] )
% 0.45/1.14 , 0, clause( 1229, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 0.45/1.14 Y ) ) ) ] )
% 0.45/1.14 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.45/1.14 ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 subsumption(
% 0.45/1.14 clause( 1262, [] )
% 0.45/1.14 , clause( 1307, [] )
% 0.45/1.14 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 end.
% 0.45/1.14
% 0.45/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.14
% 0.45/1.14 Memory use:
% 0.45/1.14
% 0.45/1.14 space for terms: 25427
% 0.45/1.14 space for clauses: 130779
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 clauses generated: 10881
% 0.45/1.14 clauses kept: 1263
% 0.45/1.14 clauses selected: 316
% 0.45/1.14 clauses deleted: 73
% 0.45/1.14 clauses inuse deleted: 19
% 0.45/1.14
% 0.45/1.14 subsentry: 10062
% 0.45/1.14 literals s-matched: 9691
% 0.45/1.14 literals matched: 9691
% 0.45/1.14 full subsumption: 0
% 0.45/1.14
% 0.45/1.14 checksum: -1338404749
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 Bliksem ended
%------------------------------------------------------------------------------