TSTP Solution File: LCL089-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL089-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 07:50:11 EDT 2022
% Result : Unsatisfiable 0.40s 1.06s
% Output : Refutation 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : LCL089-1 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.11 % Command : bliksem %s
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Mon Jul 4 19:25:14 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.40/1.06 *** allocated 10000 integers for termspace/termends
% 0.40/1.06 *** allocated 10000 integers for clauses
% 0.40/1.06 *** allocated 10000 integers for justifications
% 0.40/1.06 Bliksem 1.12
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 Automatic Strategy Selection
% 0.40/1.06
% 0.40/1.06 Clauses:
% 0.40/1.06 [
% 0.40/1.06 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.40/1.06 'is_a_theorem'( Y ) ],
% 0.40/1.06 [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z, T ) ),
% 0.40/1.06 implies( U, implies( implies( T, X ), implies( Z, X ) ) ) ) ) ],
% 0.40/1.06 [ ~( 'is_a_theorem'( implies( implies( a, b ), implies( implies( b, c )
% 0.40/1.06 , implies( a, c ) ) ) ) ) ]
% 0.40/1.06 ] .
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 percentage equality = 0.000000, percentage horn = 1.000000
% 0.40/1.06 This is a near-Horn, non-equality problem
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 Options Used:
% 0.40/1.06
% 0.40/1.06 useres = 1
% 0.40/1.06 useparamod = 0
% 0.40/1.06 useeqrefl = 0
% 0.40/1.06 useeqfact = 0
% 0.40/1.06 usefactor = 1
% 0.40/1.06 usesimpsplitting = 0
% 0.40/1.06 usesimpdemod = 0
% 0.40/1.06 usesimpres = 4
% 0.40/1.06
% 0.40/1.06 resimpinuse = 1000
% 0.40/1.06 resimpclauses = 20000
% 0.40/1.06 substype = standard
% 0.40/1.06 backwardsubs = 1
% 0.40/1.06 selectoldest = 5
% 0.40/1.06
% 0.40/1.06 litorderings [0] = split
% 0.40/1.06 litorderings [1] = liftord
% 0.40/1.06
% 0.40/1.06 termordering = none
% 0.40/1.06
% 0.40/1.06 litapriori = 1
% 0.40/1.06 termapriori = 0
% 0.40/1.06 litaposteriori = 0
% 0.40/1.06 termaposteriori = 0
% 0.40/1.06 demodaposteriori = 0
% 0.40/1.06 ordereqreflfact = 0
% 0.40/1.06
% 0.40/1.06 litselect = negative
% 0.40/1.06
% 0.40/1.06 maxweight = 30000
% 0.40/1.06 maxdepth = 30000
% 0.40/1.06 maxlength = 115
% 0.40/1.06 maxnrvars = 195
% 0.40/1.06 excuselevel = 0
% 0.40/1.06 increasemaxweight = 0
% 0.40/1.06
% 0.40/1.06 maxselected = 10000000
% 0.40/1.06 maxnrclauses = 10000000
% 0.40/1.06
% 0.40/1.06 showgenerated = 0
% 0.40/1.06 showkept = 0
% 0.40/1.06 showselected = 0
% 0.40/1.06 showdeleted = 0
% 0.40/1.06 showresimp = 1
% 0.40/1.06 showstatus = 2000
% 0.40/1.06
% 0.40/1.06 prologoutput = 1
% 0.40/1.06 nrgoals = 5000000
% 0.40/1.06 totalproof = 1
% 0.40/1.06
% 0.40/1.06 Symbols occurring in the translation:
% 0.40/1.06
% 0.40/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.40/1.06 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 0.40/1.06 ! [4, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.40/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.40/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.40/1.06 implies [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.40/1.06 'is_a_theorem' [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.40/1.06 a [48, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.40/1.06 b [49, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.40/1.06 c [50, 0] (w:1, o:18, a:1, s:1, b:0).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 Starting Search:
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 Bliksems!, er is een bewijs:
% 0.40/1.06 % SZS status Unsatisfiable
% 0.40/1.06 % SZS output start Refutation
% 0.40/1.06
% 0.40/1.06 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.40/1.06 ~( 'is_a_theorem'( X ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z
% 0.40/1.06 , T ) ), implies( U, implies( implies( T, X ), implies( Z, X ) ) ) ) ) ]
% 0.40/1.06 )
% 0.40/1.06 .
% 0.40/1.06 clause( 2, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies( implies(
% 0.40/1.06 b, c ), implies( a, c ) ) ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.40/1.06 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 4, [ 'is_a_theorem'( implies( X, implies( implies( implies( implies(
% 0.40/1.06 Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W, implies( Z, U )
% 0.40/1.06 ) ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.40/1.06 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 0.40/1.06 )
% 0.40/1.06 .
% 0.40/1.06 clause( 6, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies( X,
% 0.40/1.06 implies( implies( implies( implies( Y, Z ), implies( T, Z ) ), implies( Z
% 0.40/1.06 , U ) ), implies( W, implies( Z, U ) ) ) ), V0 ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 7, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y, Z
% 0.40/1.06 ), implies( T, Z ) ) ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 8, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.40/1.06 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 9, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), implies(
% 0.40/1.06 Z, Y ) ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 0.40/1.06 implies( implies( X, Y ), implies( Z, Y ) ) ), T ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 14, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z )
% 0.40/1.06 , T ), implies( implies( implies( T, U ), Z ), T ) ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 20, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.40/1.06 implies( implies( implies( Z, T ), Y ), Z ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 23, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.40/1.06 implies( implies( Y, Z ), implies( T, Z ) ) ), U ), implies( T, Y ) ),
% 0.40/1.06 implies( X, implies( implies( Y, Z ), implies( T, Z ) ) ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 24, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( implies( X, Y ), Z ), implies( implies( implies( Z, T ), Y ), Z
% 0.40/1.06 ) ), U ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 31, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.40/1.06 Z, implies( Y, Z ) ) ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 33, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.40/1.06 X, Y ) ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 38, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 60, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z )
% 0.40/1.06 , Y ), implies( Z, Y ) ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 61, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.40/1.06 implies( Y, X ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 66, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( implies( X, Y ), X ), implies( Y, X ) ), Z ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 86, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 0.40/1.06 ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 90, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 93, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.40/1.06 implies( Y, X ) ), Z ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 107, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.40/1.06 ), Y ), implies( T, Y ) ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 127, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.40/1.06 implies( Z, X ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 165, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.40/1.06 ), Y ), Y ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 172, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X )
% 0.40/1.06 ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 174, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( implies( X, Y ), X ), X ), Z ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 238, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.40/1.06 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 249, [] )
% 0.40/1.06 .
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 % SZS output end Refutation
% 0.40/1.06 found a proof!
% 0.40/1.06
% 0.40/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.40/1.06
% 0.40/1.06 initialclauses(
% 0.40/1.06 [ clause( 251, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.40/1.06 X ) ), 'is_a_theorem'( Y ) ] )
% 0.40/1.06 , clause( 252, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.40/1.06 Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X ) ) ) ) ) ]
% 0.40/1.06 )
% 0.40/1.06 , clause( 253, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies(
% 0.40/1.06 implies( b, c ), implies( a, c ) ) ) ) ) ] )
% 0.40/1.06 ] ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.40/1.06 ~( 'is_a_theorem'( X ) ) ] )
% 0.40/1.06 , clause( 251, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.40/1.06 X ) ), 'is_a_theorem'( Y ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.40/1.06 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z
% 0.40/1.06 , T ) ), implies( U, implies( implies( T, X ), implies( Z, X ) ) ) ) ) ]
% 0.40/1.06 )
% 0.40/1.06 , clause( 252, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.40/1.06 Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X ) ) ) ) ) ]
% 0.40/1.06 )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.40/1.06 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 2, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies( implies(
% 0.40/1.06 b, c ), implies( a, c ) ) ) ) ) ] )
% 0.40/1.06 , clause( 253, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies(
% 0.40/1.06 implies( b, c ), implies( a, c ) ) ) ) ) ] )
% 0.40/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 255, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.40/1.06 ), implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z,
% 0.40/1.06 X ) ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.40/1.06 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.40/1.06 , ~( 'is_a_theorem'( X ) ) ] )
% 0.40/1.06 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.40/1.06 implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X )
% 0.40/1.06 ) ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), implies(
% 0.40/1.06 Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X ) ) ) ) ),
% 0.40/1.06 :=( Y, W )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 0.40/1.06 :=( T, T ), :=( U, U )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.40/1.06 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.40/1.06 , clause( 255, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.40/1.06 Y ), implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z
% 0.40/1.06 , X ) ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.40/1.06 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 256, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.40/1.06 implies( Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W,
% 0.40/1.06 implies( Z, U ) ) ) ) ) ] )
% 0.40/1.06 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.40/1.06 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.40/1.06 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.40/1.06 implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X )
% 0.40/1.06 ) ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, Z ), :=( Y, U ), :=( Z, T ), :=( T, Y ),
% 0.40/1.06 :=( U, W ), :=( W, implies( X, implies( implies( implies( implies( Y, Z )
% 0.40/1.06 , implies( T, Z ) ), implies( Z, U ) ), implies( W, implies( Z, U ) ) ) )
% 0.40/1.06 )] ), substitution( 1, [ :=( X, implies( Z, U ) ), :=( Y, implies( T, Y
% 0.40/1.06 ) ), :=( Z, W ), :=( T, implies( implies( Y, Z ), implies( T, Z ) ) ),
% 0.40/1.06 :=( U, X )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 4, [ 'is_a_theorem'( implies( X, implies( implies( implies( implies(
% 0.40/1.06 Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W, implies( Z, U )
% 0.40/1.06 ) ) ) ) ] )
% 0.40/1.06 , clause( 256, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.40/1.06 implies( Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W,
% 0.40/1.06 implies( Z, U ) ) ) ) ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.40/1.06 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 257, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.40/1.06 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 0.40/1.06 )
% 0.40/1.06 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.40/1.06 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.40/1.06 , 1, clause( 4, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.40/1.06 implies( Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W,
% 0.40/1.06 implies( Z, U ) ) ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, V1 ), :=( T, V2 ),
% 0.40/1.06 :=( U, V3 ), :=( W, implies( implies( implies( implies( X, Y ), implies(
% 0.40/1.06 Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) )] ),
% 0.40/1.06 substitution( 1, [ :=( X, implies( implies( implies( W, V0 ), implies( V1
% 0.40/1.06 , V2 ) ), implies( V3, implies( implies( V2, W ), implies( V1, W ) ) ) )
% 0.40/1.06 ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T ), :=( W, U )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.40/1.06 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 0.40/1.06 )
% 0.40/1.06 , clause( 257, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.40/1.06 , implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) )
% 0.40/1.06 ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.40/1.06 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 259, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.40/1.06 implies( implies( Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies(
% 0.40/1.06 W, implies( Z, U ) ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 0.40/1.06 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.40/1.06 , ~( 'is_a_theorem'( X ) ) ] )
% 0.40/1.06 , 2, clause( 4, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.40/1.06 implies( Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W,
% 0.40/1.06 implies( Z, U ) ) ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies(
% 0.40/1.06 implies( Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W,
% 0.40/1.06 implies( Z, U ) ) ) ) ), :=( Y, V0 )] ), substitution( 1, [ :=( X, X ),
% 0.40/1.06 :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, U ), :=( W, W )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 6, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies( X,
% 0.40/1.06 implies( implies( implies( implies( Y, Z ), implies( T, Z ) ), implies( Z
% 0.40/1.06 , U ) ), implies( W, implies( Z, U ) ) ) ), V0 ) ) ) ] )
% 0.40/1.06 , clause( 259, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.40/1.06 implies( implies( Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies(
% 0.40/1.06 W, implies( Z, U ) ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.40/1.06 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1
% 0.40/1.06 , 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 260, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y
% 0.40/1.06 , Z ), implies( T, Z ) ) ) ) ) ] )
% 0.40/1.06 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.40/1.06 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.40/1.06 , 1, clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.40/1.06 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.40/1.06 ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, Y ),
% 0.40/1.06 :=( U, Y ), :=( W, implies( X, implies( Y, implies( implies( Y, Z ),
% 0.40/1.06 implies( T, Z ) ) ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, Y ),
% 0.40/1.06 :=( Z, T ), :=( T, implies( implies( Y, Z ), implies( T, Z ) ) ), :=( U,
% 0.40/1.06 X )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 7, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y, Z
% 0.40/1.06 ), implies( T, Z ) ) ) ) ) ] )
% 0.40/1.06 , clause( 260, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.40/1.06 Y, Z ), implies( T, Z ) ) ) ) ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.40/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 262, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.40/1.06 implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ), implies( U,
% 0.40/1.06 implies( Y, T ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.40/1.06 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.40/1.06 , ~( 'is_a_theorem'( X ) ) ] )
% 0.40/1.06 , 2, clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.40/1.06 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.40/1.06 ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.40/1.06 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ),
% 0.40/1.06 :=( Y, W )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 0.40/1.06 :=( T, T ), :=( U, U )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 8, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.40/1.06 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.40/1.06 , clause( 262, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.40/1.06 implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ), implies( U,
% 0.40/1.06 implies( Y, T ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.40/1.06 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 263, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 0.40/1.06 implies( Z, Y ) ) ) ) ] )
% 0.40/1.06 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.40/1.06 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.40/1.06 , 1, clause( 7, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.40/1.06 Y, Z ), implies( T, Z ) ) ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, V0 ),
% 0.40/1.06 :=( U, V1 ), :=( W, implies( X, implies( implies( X, Y ), implies( Z, Y )
% 0.40/1.06 ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies( T, U ),
% 0.40/1.06 implies( W, V0 ) ), implies( V1, implies( implies( V0, T ), implies( W, T
% 0.40/1.06 ) ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 9, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), implies(
% 0.40/1.06 Z, Y ) ) ) ) ] )
% 0.40/1.06 , clause( 263, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 0.40/1.06 implies( Z, Y ) ) ) ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.40/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 265, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies( X
% 0.40/1.06 , Y ), implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.40/1.06 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.40/1.06 , ~( 'is_a_theorem'( X ) ) ] )
% 0.40/1.06 , 2, clause( 9, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 0.40/1.06 implies( Z, Y ) ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( X, Y ),
% 0.40/1.06 implies( Z, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 0.40/1.06 Y, Y ), :=( Z, Z )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 0.40/1.06 implies( implies( X, Y ), implies( Z, Y ) ) ), T ) ) ) ] )
% 0.40/1.06 , clause( 265, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.40/1.06 X, Y ), implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.40/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 266, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.40/1.06 ), T ), implies( implies( implies( T, U ), Z ), T ) ) ) ) ] )
% 0.40/1.06 , clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.40/1.06 , implies( implies( X, Y ), implies( Z, Y ) ) ), T ) ) ) ] )
% 0.40/1.06 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.40/1.06 implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X )
% 0.40/1.06 ) ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, implies( T, U ) ), :=( Y, Z ), :=( Z, Y ),
% 0.40/1.06 :=( T, implies( X, implies( implies( implies( Y, Z ), T ), implies(
% 0.40/1.06 implies( implies( T, U ), Z ), T ) ) ) )] ), substitution( 1, [ :=( X, T
% 0.40/1.06 ), :=( Y, U ), :=( Z, implies( implies( T, U ), Z ) ), :=( T, implies( Y
% 0.40/1.06 , Z ) ), :=( U, X )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 14, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z )
% 0.40/1.06 , T ), implies( implies( implies( T, U ), Z ), T ) ) ) ) ] )
% 0.40/1.06 , clause( 266, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 0.40/1.06 Z ), T ), implies( implies( implies( T, U ), Z ), T ) ) ) ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.40/1.06 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 267, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.40/1.06 implies( implies( implies( Z, T ), Y ), Z ) ) ) ] )
% 0.40/1.06 , clause( 6, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies( X
% 0.40/1.06 , implies( implies( implies( implies( Y, Z ), implies( T, Z ) ), implies(
% 0.40/1.06 Z, U ) ), implies( W, implies( Z, U ) ) ) ), V0 ) ) ) ] )
% 0.40/1.06 , 1, clause( 14, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.40/1.06 , Z ), T ), implies( implies( implies( T, U ), Z ), T ) ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 0.40/1.06 :=( U, V2 ), :=( W, V3 ), :=( V0, implies( implies( implies( X, Y ), Z )
% 0.40/1.06 , implies( implies( implies( Z, T ), Y ), Z ) ) )] ), substitution( 1, [
% 0.40/1.06 :=( X, implies( U, implies( implies( implies( implies( W, V0 ), implies(
% 0.40/1.06 V1, V0 ) ), implies( V0, V2 ) ), implies( V3, implies( V0, V2 ) ) ) ) ),
% 0.40/1.06 :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 20, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.40/1.06 implies( implies( implies( Z, T ), Y ), Z ) ) ) ] )
% 0.40/1.06 , clause( 267, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.40/1.06 implies( implies( implies( Z, T ), Y ), Z ) ) ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.40/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 268, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.40/1.06 implies( implies( Y, Z ), implies( T, Z ) ) ), U ), implies( T, Y ) ),
% 0.40/1.06 implies( X, implies( implies( Y, Z ), implies( T, Z ) ) ) ) ) ] )
% 0.40/1.06 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.40/1.06 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.40/1.06 , 1, clause( 20, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.40/1.06 implies( implies( implies( Z, T ), Y ), Z ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, Z ), :=( Y, W ), :=( Z, T ), :=( T, Y ),
% 0.40/1.06 :=( U, X ), :=( W, implies( implies( implies( implies( X, implies(
% 0.40/1.06 implies( Y, Z ), implies( T, Z ) ) ), U ), implies( T, Y ) ), implies( X
% 0.40/1.06 , implies( implies( Y, Z ), implies( T, Z ) ) ) ) )] ), substitution( 1
% 0.40/1.06 , [ :=( X, implies( Z, W ) ), :=( Y, implies( T, Y ) ), :=( Z, implies( X
% 0.40/1.06 , implies( implies( Y, Z ), implies( T, Z ) ) ) ), :=( T, U )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 23, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.40/1.06 implies( implies( Y, Z ), implies( T, Z ) ) ), U ), implies( T, Y ) ),
% 0.40/1.06 implies( X, implies( implies( Y, Z ), implies( T, Z ) ) ) ) ) ] )
% 0.40/1.06 , clause( 268, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.40/1.06 implies( implies( Y, Z ), implies( T, Z ) ) ), U ), implies( T, Y ) ),
% 0.40/1.06 implies( X, implies( implies( Y, Z ), implies( T, Z ) ) ) ) ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.40/1.06 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 270, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.40/1.06 ), Z ), implies( implies( implies( Z, T ), Y ), Z ) ), U ) ) ),
% 0.40/1.06 'is_a_theorem'( U ) ] )
% 0.40/1.06 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.40/1.06 , ~( 'is_a_theorem'( X ) ) ] )
% 0.40/1.06 , 2, clause( 20, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.40/1.06 implies( implies( implies( Z, T ), Y ), Z ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 0.40/1.06 implies( implies( implies( Z, T ), Y ), Z ) ) ), :=( Y, U )] ),
% 0.40/1.06 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 24, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( implies( X, Y ), Z ), implies( implies( implies( Z, T ), Y ), Z
% 0.40/1.06 ) ), U ) ) ) ] )
% 0.40/1.06 , clause( 270, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.40/1.06 Y ), Z ), implies( implies( implies( Z, T ), Y ), Z ) ), U ) ) ),
% 0.40/1.06 'is_a_theorem'( U ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.40/1.06 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 271, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.40/1.06 implies( Z, implies( Y, Z ) ) ) ) ) ] )
% 0.40/1.06 , clause( 8, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.40/1.06 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.40/1.06 , 1, clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.40/1.06 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.40/1.06 ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y ), :=( T, implies(
% 0.40/1.06 Y, Z ) ), :=( U, implies( Y, Z ) ), :=( W, implies( X, implies( implies(
% 0.40/1.06 Y, Z ), implies( Z, implies( Y, Z ) ) ) ) )] ), substitution( 1, [ :=( X
% 0.40/1.06 , implies( T, Z ) ), :=( Y, implies( Y, Z ) ), :=( Z, Z ), :=( T, implies(
% 0.40/1.06 Z, implies( Y, Z ) ) ), :=( U, X )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 31, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.40/1.06 Z, implies( Y, Z ) ) ) ) ) ] )
% 0.40/1.06 , clause( 271, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.40/1.06 implies( Z, implies( Y, Z ) ) ) ) ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.40/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 272, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.40/1.06 implies( X, Y ) ) ) ) ] )
% 0.40/1.06 , clause( 8, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.40/1.06 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.40/1.06 , 1, clause( 31, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.40/1.06 implies( Z, implies( Y, Z ) ) ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 0.40/1.06 :=( U, V0 ), :=( W, implies( implies( X, Y ), implies( Y, implies( X, Y )
% 0.40/1.06 ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies( implies(
% 0.40/1.06 Z, T ), implies( U, T ) ), implies( T, W ) ), implies( V0, implies( T, W
% 0.40/1.06 ) ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 33, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.40/1.06 X, Y ) ) ) ) ] )
% 0.40/1.06 , clause( 272, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.40/1.06 implies( X, Y ) ) ) ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.40/1.06 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 274, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.40/1.06 implies( Y, implies( X, Y ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.40/1.06 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.40/1.06 , ~( 'is_a_theorem'( X ) ) ] )
% 0.40/1.06 , 2, clause( 33, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.40/1.06 implies( X, Y ) ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Y,
% 0.40/1.06 implies( X, Y ) ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=(
% 0.40/1.06 Y, Y )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 38, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 0.40/1.06 , clause( 274, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.40/1.06 implies( Y, implies( X, Y ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.40/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 275, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.40/1.06 ), Y ), implies( Z, Y ) ) ) ) ] )
% 0.40/1.06 , clause( 38, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 0.40/1.06 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.40/1.06 implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X )
% 0.40/1.06 ) ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 0.40/1.06 implies( implies( Y, Z ), Y ), implies( Z, Y ) ) ) )] ), substitution( 1
% 0.40/1.06 , [ :=( X, Y ), :=( Y, Z ), :=( Z, Z ), :=( T, implies( Y, Z ) ), :=( U,
% 0.40/1.06 X )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 60, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z )
% 0.40/1.06 , Y ), implies( Z, Y ) ) ) ) ] )
% 0.40/1.06 , clause( 275, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 0.40/1.06 Z ), Y ), implies( Z, Y ) ) ) ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.40/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 276, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.40/1.06 implies( Y, X ) ) ) ] )
% 0.40/1.06 , clause( 38, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 0.40/1.06 , 1, clause( 60, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.40/1.06 , Z ), Y ), implies( Z, Y ) ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, implies( implies(
% 0.40/1.06 implies( X, Y ), X ), implies( Y, X ) ) )] ), substitution( 1, [ :=( X,
% 0.40/1.06 implies( implies( Z, T ), implies( T, implies( Z, T ) ) ) ), :=( Y, X ),
% 0.40/1.06 :=( Z, Y )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 61, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.40/1.06 implies( Y, X ) ) ) ] )
% 0.40/1.06 , clause( 276, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.40/1.06 implies( Y, X ) ) ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.40/1.06 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 278, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.40/1.06 ), X ), implies( Y, X ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.40/1.06 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.40/1.06 , ~( 'is_a_theorem'( X ) ) ] )
% 0.40/1.06 , 2, clause( 61, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.40/1.06 implies( Y, X ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), X ),
% 0.40/1.06 implies( Y, X ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.40/1.06 , Y )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 66, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( implies( X, Y ), X ), implies( Y, X ) ), Z ) ) ) ] )
% 0.40/1.06 , clause( 278, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.40/1.06 Y ), X ), implies( Y, X ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.40/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 279, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) )
% 0.40/1.06 ) ] )
% 0.40/1.06 , clause( 66, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( implies( X, Y ), X ), implies( Y, X ) ), Z ) ) ) ] )
% 0.40/1.06 , 1, clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.40/1.06 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.40/1.06 ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, implies( Z, Y ) ), :=( Y, Y ), :=( Z,
% 0.40/1.06 implies( X, implies( Y, implies( Z, Y ) ) ) )] ), substitution( 1, [ :=(
% 0.40/1.06 X, implies( Z, Y ) ), :=( Y, Y ), :=( Z, Z ), :=( T, implies( Z, Y ) ),
% 0.40/1.06 :=( U, X )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 86, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 0.40/1.06 ] )
% 0.40/1.06 , clause( 279, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) )
% 0.40/1.06 ) ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.40/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 280, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.40/1.06 , clause( 66, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( implies( X, Y ), X ), implies( Y, X ) ), Z ) ) ) ] )
% 0.40/1.06 , 1, clause( 86, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 0.40/1.06 ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, implies( X, implies(
% 0.40/1.06 Y, X ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies( Z, T
% 0.40/1.06 ), Z ), implies( T, Z ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 90, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.40/1.06 , clause( 280, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.40/1.06 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 282, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) ), Z
% 0.40/1.06 ) ) ), 'is_a_theorem'( Z ) ] )
% 0.40/1.06 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.40/1.06 , ~( 'is_a_theorem'( X ) ) ] )
% 0.40/1.06 , 2, clause( 90, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 0.40/1.06 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 93, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.40/1.06 implies( Y, X ) ), Z ) ) ) ] )
% 0.40/1.06 , clause( 282, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 0.40/1.06 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.40/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 283, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.40/1.06 ), Y ), implies( T, Y ) ) ) ) ] )
% 0.40/1.06 , clause( 93, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.40/1.06 , implies( Y, X ) ), Z ) ) ) ] )
% 0.40/1.06 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.40/1.06 implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X )
% 0.40/1.06 ) ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, T ), :=( Z,
% 0.40/1.06 implies( X, implies( implies( implies( Y, Z ), Y ), implies( T, Y ) ) ) )] )
% 0.40/1.06 , substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.40/1.06 Y, Z ) ), :=( U, X )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 107, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.40/1.06 ), Y ), implies( T, Y ) ) ) ) ] )
% 0.40/1.06 , clause( 283, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 0.40/1.06 Z ), Y ), implies( T, Y ) ) ) ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.40/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 284, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.40/1.06 implies( Z, X ) ) ) ] )
% 0.40/1.06 , clause( 93, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.40/1.06 , implies( Y, X ) ), Z ) ) ) ] )
% 0.40/1.06 , 1, clause( 107, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.40/1.06 Y, Z ), Y ), implies( T, Y ) ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, implies( implies(
% 0.40/1.06 implies( X, Y ), X ), implies( Z, X ) ) )] ), substitution( 1, [ :=( X,
% 0.40/1.06 implies( T, implies( U, T ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.40/1.06 ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 127, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.40/1.06 implies( Z, X ) ) ) ] )
% 0.40/1.06 , clause( 284, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.40/1.06 implies( Z, X ) ) ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.40/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 285, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.40/1.06 ), Y ), Y ) ) ) ] )
% 0.40/1.06 , clause( 24, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( implies( X, Y ), Z ), implies( implies( implies( Z, T ), Y ), Z
% 0.40/1.06 ) ), U ) ) ) ] )
% 0.40/1.06 , 1, clause( 127, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X )
% 0.40/1.06 , implies( Z, X ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, implies( implies( Y, Z ), Y ) ), :=( Y, Y )
% 0.40/1.06 , :=( Z, Y ), :=( T, Z ), :=( U, implies( X, implies( implies( implies( Y
% 0.40/1.06 , Z ), Y ), Y ) ) )] ), substitution( 1, [ :=( X, implies( implies(
% 0.40/1.06 implies( Y, Z ), Y ), Y ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 165, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.40/1.06 ), Y ), Y ) ) ) ] )
% 0.40/1.06 , clause( 285, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 0.40/1.06 Z ), Y ), Y ) ) ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.40/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 286, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X )
% 0.40/1.06 ) ] )
% 0.40/1.06 , clause( 24, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( implies( X, Y ), Z ), implies( implies( implies( Z, T ), Y ), Z
% 0.40/1.06 ) ), U ) ) ) ] )
% 0.40/1.06 , 1, clause( 165, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.40/1.06 Y, Z ), Y ), Y ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 0.40/1.06 :=( U, implies( implies( implies( X, Y ), X ), X ) )] ), substitution( 1
% 0.40/1.06 , [ :=( X, implies( implies( implies( Z, T ), U ), implies( implies(
% 0.40/1.06 implies( U, W ), T ), U ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 172, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X )
% 0.40/1.06 ) ] )
% 0.40/1.06 , clause( 286, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X
% 0.40/1.06 ) ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.40/1.06 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 288, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.40/1.06 ), X ), X ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.40/1.06 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.40/1.06 , ~( 'is_a_theorem'( X ) ) ] )
% 0.40/1.06 , 2, clause( 172, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X )
% 0.40/1.06 , X ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), X ), X )
% 0.40/1.06 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 174, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( implies( X, Y ), X ), X ), Z ) ) ) ] )
% 0.40/1.06 , clause( 288, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.40/1.06 Y ), X ), X ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.40/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 289, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.40/1.06 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.40/1.06 , clause( 174, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.40/1.06 implies( implies( X, Y ), X ), X ), Z ) ) ) ] )
% 0.40/1.06 , 1, clause( 23, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.40/1.06 implies( implies( Y, Z ), implies( T, Z ) ) ), U ), implies( T, Y ) ),
% 0.40/1.06 implies( X, implies( implies( Y, Z ), implies( T, Z ) ) ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, implies( implies(
% 0.40/1.06 Y, Z ), implies( X, Z ) ) ), :=( Z, implies( implies( X, Y ), implies(
% 0.40/1.06 implies( Y, Z ), implies( X, Z ) ) ) )] ), substitution( 1, [ :=( X,
% 0.40/1.06 implies( X, Y ) ), :=( Y, Y ), :=( Z, Z ), :=( T, X ), :=( U, implies( X
% 0.40/1.06 , Y ) )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 238, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.40/1.06 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.40/1.06 , clause( 289, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.40/1.06 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.40/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 290, [] )
% 0.40/1.06 , clause( 2, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies(
% 0.40/1.06 implies( b, c ), implies( a, c ) ) ) ) ) ] )
% 0.40/1.06 , 0, clause( 238, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.40/1.06 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 0.40/1.06 Z, c )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 249, [] )
% 0.40/1.06 , clause( 290, [] )
% 0.40/1.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 end.
% 0.40/1.06
% 0.40/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.40/1.06
% 0.40/1.06 Memory use:
% 0.40/1.06
% 0.40/1.06 space for terms: 4603
% 0.40/1.06 space for clauses: 28376
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 clauses generated: 1045
% 0.40/1.06 clauses kept: 250
% 0.40/1.06 clauses selected: 78
% 0.40/1.06 clauses deleted: 7
% 0.40/1.06 clauses inuse deleted: 0
% 0.40/1.06
% 0.40/1.06 subsentry: 887
% 0.40/1.06 literals s-matched: 803
% 0.40/1.06 literals matched: 802
% 0.40/1.06 full subsumption: 0
% 0.40/1.06
% 0.40/1.06 checksum: -1096577059
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 Bliksem ended
%------------------------------------------------------------------------------