TSTP Solution File: LCL036-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL036-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 07:49:28 EDT 2022
% Result : Unsatisfiable 0.77s 1.17s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL036-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n015.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 : Mon Jul 4 11:02:31 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.77/1.17 *** allocated 10000 integers for termspace/termends
% 0.77/1.17 *** allocated 10000 integers for clauses
% 0.77/1.17 *** allocated 10000 integers for justifications
% 0.77/1.17 Bliksem 1.12
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 Automatic Strategy Selection
% 0.77/1.17
% 0.77/1.17 Clauses:
% 0.77/1.17 [
% 0.77/1.17 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.77/1.17 'is_a_theorem'( Y ) ],
% 0.77/1.17 [ 'is_a_theorem'( implies( implies( implies( implies( implies( X, Y ),
% 0.77/1.17 implies( Z, falsehood ) ), T ), U ), implies( implies( U, X ), implies( Z
% 0.77/1.17 , X ) ) ) ) ],
% 0.77/1.17 [ ~( 'is_a_theorem'( implies( implies( implies( a, falsehood ),
% 0.77/1.17 falsehood ), a ) ) ) ]
% 0.77/1.17 ] .
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 percentage equality = 0.000000, percentage horn = 1.000000
% 0.77/1.17 This is a near-Horn, non-equality problem
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 Options Used:
% 0.77/1.17
% 0.77/1.17 useres = 1
% 0.77/1.17 useparamod = 0
% 0.77/1.17 useeqrefl = 0
% 0.77/1.17 useeqfact = 0
% 0.77/1.17 usefactor = 1
% 0.77/1.17 usesimpsplitting = 0
% 0.77/1.17 usesimpdemod = 0
% 0.77/1.17 usesimpres = 4
% 0.77/1.17
% 0.77/1.17 resimpinuse = 1000
% 0.77/1.17 resimpclauses = 20000
% 0.77/1.17 substype = standard
% 0.77/1.17 backwardsubs = 1
% 0.77/1.17 selectoldest = 5
% 0.77/1.17
% 0.77/1.17 litorderings [0] = split
% 0.77/1.17 litorderings [1] = liftord
% 0.77/1.17
% 0.77/1.17 termordering = none
% 0.77/1.17
% 0.77/1.17 litapriori = 1
% 0.77/1.17 termapriori = 0
% 0.77/1.17 litaposteriori = 0
% 0.77/1.17 termaposteriori = 0
% 0.77/1.17 demodaposteriori = 0
% 0.77/1.17 ordereqreflfact = 0
% 0.77/1.17
% 0.77/1.17 litselect = negative
% 0.77/1.17
% 0.77/1.17 maxweight = 30000
% 0.77/1.17 maxdepth = 30000
% 0.77/1.17 maxlength = 115
% 0.77/1.17 maxnrvars = 195
% 0.77/1.17 excuselevel = 0
% 0.77/1.17 increasemaxweight = 0
% 0.77/1.17
% 0.77/1.17 maxselected = 10000000
% 0.77/1.17 maxnrclauses = 10000000
% 0.77/1.17
% 0.77/1.17 showgenerated = 0
% 0.77/1.17 showkept = 0
% 0.77/1.17 showselected = 0
% 0.77/1.17 showdeleted = 0
% 0.77/1.17 showresimp = 1
% 0.77/1.17 showstatus = 2000
% 0.77/1.17
% 0.77/1.17 prologoutput = 1
% 0.77/1.17 nrgoals = 5000000
% 0.77/1.17 totalproof = 1
% 0.77/1.17
% 0.77/1.17 Symbols occurring in the translation:
% 0.77/1.17
% 0.77/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.77/1.17 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.77/1.17 ! [4, 1] (w:1, o:16, a:1, s:1, b:0),
% 0.77/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.17 implies [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.77/1.17 'is_a_theorem' [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.77/1.17 falsehood [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.77/1.17 a [47, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 Starting Search:
% 0.77/1.17
% 0.77/1.17 Resimplifying inuse:
% 0.77/1.17 Done
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 Bliksems!, er is een bewijs:
% 0.77/1.17 % SZS status Unsatisfiable
% 0.77/1.17 % SZS output start Refutation
% 0.77/1.17
% 0.77/1.17 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.77/1.17 ~( 'is_a_theorem'( X ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 1, [ 'is_a_theorem'( implies( implies( implies( implies( implies( X
% 0.77/1.17 , Y ), implies( Z, falsehood ) ), T ), U ), implies( implies( U, X ),
% 0.77/1.17 implies( Z, X ) ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 2, [ ~( 'is_a_theorem'( implies( implies( implies( a, falsehood ),
% 0.77/1.17 falsehood ), a ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.17 implies( implies( implies( implies( X, Y ), implies( Z, falsehood ) ), T
% 0.77/1.17 ), U ), implies( implies( U, X ), implies( Z, X ) ) ), W ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 4, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.77/1.17 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 0.77/1.17 )
% 0.77/1.17 .
% 0.77/1.17 clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.17 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.77/1.17 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 7, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.77/1.17 falsehood, Y ) ), Z ), implies( T, Z ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 8, [ 'is_a_theorem'( implies( X, implies( Y, implies( falsehood, Z
% 0.77/1.17 ) ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 10, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.17 implies( implies( X, implies( falsehood, Y ) ), Z ), implies( T, Z ) ), U
% 0.77/1.17 ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 11, [ 'is_a_theorem'( implies( X, implies( falsehood, Y ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 14, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.77/1.17 implies( falsehood, Y ) ), Z ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 21, [ 'is_a_theorem'( implies( implies( implies( falsehood, X ), Y
% 0.77/1.17 ), implies( Z, Y ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 22, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.17 implies( implies( falsehood, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 26, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 0.77/1.17 ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 27, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 29, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 0.77/1.17 implies( falsehood, Z ) ), T ), implies( U, T ) ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 33, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.77/1.17 implies( Y, X ) ), Z ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 36, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.77/1.17 implies( implies( Y, Z ), implies( T, falsehood ) ), U ) ), Y ), implies(
% 0.77/1.17 T, Y ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 56, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X,
% 0.77/1.17 implies( implies( implies( Y, implies( falsehood, Z ) ), T ), implies( U
% 0.77/1.17 , T ) ) ), W ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 102, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.17 implies( implies( X, implies( implies( implies( Y, Z ), implies( T,
% 0.77/1.17 falsehood ) ), U ) ), Y ), implies( T, Y ) ), W ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 124, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.77/1.17 implies( Z, implies( falsehood, T ) ), U ), implies( W, U ) ) ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 126, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies( X
% 0.77/1.17 , implies( Y, implies( implies( implies( Z, implies( falsehood, T ) ), U
% 0.77/1.17 ), implies( W, U ) ) ) ), V0 ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 171, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.77/1.17 implies( implies( Y, implies( falsehood, Z ) ), T ), implies( U, T ) ) )
% 0.77/1.17 , W ), implies( V0, W ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 174, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.77/1.17 implies( implies( Y, implies( falsehood, Z ) ), T ), implies( U, T ) ), W
% 0.77/1.17 ), implies( V0, W ) ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 176, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies( X
% 0.77/1.17 , implies( implies( implies( implies( implies( Y, implies( falsehood, Z )
% 0.77/1.17 ), T ), implies( U, T ) ), W ), implies( V0, W ) ) ), V1 ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 254, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.77/1.17 implies( implies( implies( Y, T ), implies( X, falsehood ) ), Z ) ) ) ]
% 0.77/1.17 )
% 0.77/1.17 .
% 0.77/1.17 clause( 268, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.77/1.17 Z, falsehood ) ), implies( T, implies( Z, X ) ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.77/1.17 implies( falsehood, Z ), falsehood ) ), implies( T, X ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 275, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.17 implies( implies( X, Y ), implies( Z, falsehood ) ), implies( T, implies(
% 0.77/1.17 Z, X ) ) ), U ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 278, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.17 implies( implies( X, Y ), implies( implies( falsehood, Z ), falsehood ) )
% 0.77/1.17 , implies( T, X ) ), U ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 361, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.77/1.17 falsehood ), Y ), implies( implies( Z, T ), falsehood ) ), implies( U,
% 0.77/1.17 implies( X, Z ) ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 372, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.77/1.17 ) ), Y ), implies( T, Y ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 373, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.17 implies( implies( X, implies( Y, Z ) ), Y ), implies( T, Y ) ), U ) ) ) ]
% 0.77/1.17 )
% 0.77/1.17 .
% 0.77/1.17 clause( 379, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.77/1.17 implies( Y, Z ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 386, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.17 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 553, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.77/1.17 falsehood ), Y ), Z ), implies( X, Z ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 558, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.17 implies( implies( implies( X, falsehood ), Y ), Z ), implies( X, Z ) ), T
% 0.77/1.17 ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 1460, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.77/1.17 ), falsehood ), Y ) ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 1633, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.77/1.17 falsehood ), X ) ) ] )
% 0.77/1.17 .
% 0.77/1.17 clause( 1636, [] )
% 0.77/1.17 .
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 % SZS output end Refutation
% 0.77/1.17 found a proof!
% 0.77/1.17
% 0.77/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.77/1.17
% 0.77/1.17 initialclauses(
% 0.77/1.17 [ clause( 1638, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.77/1.17 X ) ), 'is_a_theorem'( Y ) ] )
% 0.77/1.17 , clause( 1639, [ 'is_a_theorem'( implies( implies( implies( implies(
% 0.77/1.17 implies( X, Y ), implies( Z, falsehood ) ), T ), U ), implies( implies( U
% 0.77/1.17 , X ), implies( Z, X ) ) ) ) ] )
% 0.77/1.17 , clause( 1640, [ ~( 'is_a_theorem'( implies( implies( implies( a,
% 0.77/1.17 falsehood ), falsehood ), a ) ) ) ] )
% 0.77/1.17 ] ).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 subsumption(
% 0.77/1.17 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.77/1.17 ~( 'is_a_theorem'( X ) ) ] )
% 0.77/1.17 , clause( 1638, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.77/1.17 X ) ), 'is_a_theorem'( Y ) ] )
% 0.77/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.77/1.17 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 subsumption(
% 0.77/1.17 clause( 1, [ 'is_a_theorem'( implies( implies( implies( implies( implies( X
% 0.77/1.17 , Y ), implies( Z, falsehood ) ), T ), U ), implies( implies( U, X ),
% 0.77/1.17 implies( Z, X ) ) ) ) ] )
% 0.77/1.17 , clause( 1639, [ 'is_a_theorem'( implies( implies( implies( implies(
% 0.77/1.17 implies( X, Y ), implies( Z, falsehood ) ), T ), U ), implies( implies( U
% 0.77/1.17 , X ), implies( Z, X ) ) ) ) ] )
% 0.77/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.77/1.17 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 2, [ ~( 'is_a_theorem'( implies( implies( implies( a, falsehood ),
% 0.77/1.18 falsehood ), a ) ) ) ] )
% 0.77/1.18 , clause( 1640, [ ~( 'is_a_theorem'( implies( implies( implies( a,
% 0.77/1.18 falsehood ), falsehood ), a ) ) ) ] )
% 0.77/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1642, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.77/1.18 implies( implies( X, Y ), implies( Z, falsehood ) ), T ), U ), implies(
% 0.77/1.18 implies( U, X ), implies( Z, X ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.77/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.77/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.77/1.18 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( implies( implies(
% 0.77/1.18 implies( X, Y ), implies( Z, falsehood ) ), T ), U ), implies( implies( U
% 0.77/1.18 , X ), implies( Z, X ) ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( implies(
% 0.77/1.18 X, Y ), implies( Z, falsehood ) ), T ), U ), implies( implies( U, X ),
% 0.77/1.18 implies( Z, X ) ) ) ), :=( Y, W )] ), substitution( 1, [ :=( X, X ), :=(
% 0.77/1.18 Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, U )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( implies( implies( X, Y ), implies( Z, falsehood ) ), T
% 0.77/1.18 ), U ), implies( implies( U, X ), implies( Z, X ) ) ), W ) ) ) ] )
% 0.77/1.18 , clause( 1642, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.77/1.18 implies( implies( X, Y ), implies( Z, falsehood ) ), T ), U ), implies(
% 0.77/1.18 implies( U, X ), implies( Z, X ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.77/1.18 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1643, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.77/1.18 , implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) )
% 0.77/1.18 ] )
% 0.77/1.18 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( implies( implies( X, Y ), implies( Z, falsehood ) ), T
% 0.77/1.18 ), U ), implies( implies( U, X ), implies( Z, X ) ) ), W ) ) ) ] )
% 0.77/1.18 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( implies(
% 0.77/1.18 implies( X, Y ), implies( Z, falsehood ) ), T ), U ), implies( implies( U
% 0.77/1.18 , X ), implies( Z, X ) ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, Z ), :=( T, implies(
% 0.77/1.18 U, falsehood ) ), :=( U, X ), :=( W, implies( implies( implies( implies(
% 0.77/1.18 X, Y ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T )
% 0.77/1.18 ) ) )] ), substitution( 1, [ :=( X, implies( Y, T ) ), :=( Y, implies( Z
% 0.77/1.18 , falsehood ) ), :=( Z, U ), :=( T, X ), :=( U, implies( implies( X, Y )
% 0.77/1.18 , implies( Z, Y ) ) )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 4, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.77/1.18 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 0.77/1.18 )
% 0.77/1.18 , clause( 1643, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.77/1.18 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.77/1.18 ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.77/1.18 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1645, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.77/1.18 implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ), implies( U,
% 0.77/1.18 implies( Y, T ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.77/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.77/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.77/1.18 , 2, clause( 4, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.77/1.18 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.77/1.18 ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.77/1.18 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ),
% 0.77/1.18 :=( Y, W )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 0.77/1.18 :=( T, T ), :=( U, U )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.77/1.18 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.77/1.18 , clause( 1645, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.77/1.18 implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ), implies( U,
% 0.77/1.18 implies( Y, T ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.77/1.18 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1646, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.77/1.18 falsehood, Y ) ), Z ), implies( T, Z ) ) ) ] )
% 0.77/1.18 , clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.77/1.18 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.77/1.18 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( implies(
% 0.77/1.18 implies( X, Y ), implies( Z, falsehood ) ), T ), U ), implies( implies( U
% 0.77/1.18 , X ), implies( Z, X ) ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, Z ), :=( Y, falsehood ), :=( Z, T ), :=( T,
% 0.77/1.18 Y ), :=( U, X ), :=( W, implies( implies( implies( X, implies( falsehood
% 0.77/1.18 , Y ) ), Z ), implies( T, Z ) ) )] ), substitution( 1, [ :=( X, Z ), :=(
% 0.77/1.18 Y, falsehood ), :=( Z, T ), :=( T, implies( falsehood, Y ) ), :=( U,
% 0.77/1.18 implies( X, implies( falsehood, Y ) ) )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 7, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.77/1.18 falsehood, Y ) ), Z ), implies( T, Z ) ) ) ] )
% 0.77/1.18 , clause( 1646, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.77/1.18 falsehood, Y ) ), Z ), implies( T, Z ) ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.77/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1647, [ 'is_a_theorem'( implies( X, implies( Y, implies( falsehood
% 0.77/1.18 , Z ) ) ) ) ] )
% 0.77/1.18 , clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.77/1.18 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.77/1.18 , 1, clause( 7, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.77/1.18 falsehood, Y ) ), Z ), implies( T, Z ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, T ), :=( Y, falsehood ), :=( Z, U ), :=( T,
% 0.77/1.18 Z ), :=( U, Y ), :=( W, implies( X, implies( Y, implies( falsehood, Z ) )
% 0.77/1.18 ) )] ), substitution( 1, [ :=( X, implies( implies( T, falsehood ),
% 0.77/1.18 implies( U, falsehood ) ) ), :=( Y, Z ), :=( Z, implies( Y, implies(
% 0.77/1.18 falsehood, Z ) ) ), :=( T, X )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 8, [ 'is_a_theorem'( implies( X, implies( Y, implies( falsehood, Z
% 0.77/1.18 ) ) ) ) ] )
% 0.77/1.18 , clause( 1647, [ 'is_a_theorem'( implies( X, implies( Y, implies(
% 0.77/1.18 falsehood, Z ) ) ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1649, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.77/1.18 implies( falsehood, Y ) ), Z ), implies( T, Z ) ), U ) ) ),
% 0.77/1.18 'is_a_theorem'( U ) ] )
% 0.77/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.77/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.77/1.18 , 2, clause( 7, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.77/1.18 falsehood, Y ) ), Z ), implies( T, Z ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, implies(
% 0.77/1.18 falsehood, Y ) ), Z ), implies( T, Z ) ) ), :=( Y, U )] ), substitution(
% 0.77/1.18 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 10, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( X, implies( falsehood, Y ) ), Z ), implies( T, Z ) ), U
% 0.77/1.18 ) ) ) ] )
% 0.77/1.18 , clause( 1649, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.77/1.18 , implies( falsehood, Y ) ), Z ), implies( T, Z ) ), U ) ) ),
% 0.77/1.18 'is_a_theorem'( U ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.77/1.18 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1650, [ 'is_a_theorem'( implies( X, implies( falsehood, Y ) ) ) ]
% 0.77/1.18 )
% 0.77/1.18 , clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.77/1.18 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.77/1.18 , 1, clause( 8, [ 'is_a_theorem'( implies( X, implies( Y, implies(
% 0.77/1.18 falsehood, Z ) ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 0.77/1.18 :=( U, V0 ), :=( W, implies( X, implies( falsehood, Y ) ) )] ),
% 0.77/1.18 substitution( 1, [ :=( X, implies( implies( implies( implies( Z, T ),
% 0.77/1.18 implies( U, T ) ), implies( T, W ) ), implies( V0, implies( T, W ) ) ) )
% 0.77/1.18 , :=( Y, X ), :=( Z, Y )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 11, [ 'is_a_theorem'( implies( X, implies( falsehood, Y ) ) ) ] )
% 0.77/1.18 , clause( 1650, [ 'is_a_theorem'( implies( X, implies( falsehood, Y ) ) ) ]
% 0.77/1.18 )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.77/1.18 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1652, [ ~( 'is_a_theorem'( implies( implies( X, implies( falsehood
% 0.77/1.18 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.77/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.77/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.77/1.18 , 2, clause( 11, [ 'is_a_theorem'( implies( X, implies( falsehood, Y ) ) )
% 0.77/1.18 ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( X, implies( falsehood, Y ) ) ),
% 0.77/1.18 :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 14, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.77/1.18 implies( falsehood, Y ) ), Z ) ) ) ] )
% 0.77/1.18 , clause( 1652, [ ~( 'is_a_theorem'( implies( implies( X, implies(
% 0.77/1.18 falsehood, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1653, [ 'is_a_theorem'( implies( implies( implies( falsehood, X ),
% 0.77/1.18 Y ), implies( Z, Y ) ) ) ] )
% 0.77/1.18 , clause( 14, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.77/1.18 , implies( falsehood, Y ) ), Z ) ) ) ] )
% 0.77/1.18 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( implies(
% 0.77/1.18 implies( X, Y ), implies( Z, falsehood ) ), T ), U ), implies( implies( U
% 0.77/1.18 , X ), implies( Z, X ) ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( implies( implies( Y, T ), implies(
% 0.77/1.18 Z, falsehood ) ), U ) ), :=( Y, X ), :=( Z, implies( implies( implies(
% 0.77/1.18 falsehood, X ), Y ), implies( Z, Y ) ) )] ), substitution( 1, [ :=( X, Y
% 0.77/1.18 ), :=( Y, T ), :=( Z, Z ), :=( T, U ), :=( U, implies( falsehood, X ) )] )
% 0.77/1.18 ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 21, [ 'is_a_theorem'( implies( implies( implies( falsehood, X ), Y
% 0.77/1.18 ), implies( Z, Y ) ) ) ] )
% 0.77/1.18 , clause( 1653, [ 'is_a_theorem'( implies( implies( implies( falsehood, X )
% 0.77/1.18 , Y ), implies( Z, Y ) ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1655, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.77/1.18 falsehood, X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.77/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.77/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.77/1.18 , 2, clause( 21, [ 'is_a_theorem'( implies( implies( implies( falsehood, X
% 0.77/1.18 ), Y ), implies( Z, Y ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( implies( implies( falsehood, X ), Y
% 0.77/1.18 ), implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 0.77/1.18 :=( Y, Y ), :=( Z, Z )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 22, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( falsehood, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.77/1.18 , clause( 1655, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.77/1.18 falsehood, X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.77/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1656, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) )
% 0.77/1.18 ) ] )
% 0.77/1.18 , clause( 22, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( falsehood, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.77/1.18 , 1, clause( 4, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.77/1.18 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.77/1.18 ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( Z, Y ) ), :=( Z, Y ),
% 0.77/1.18 :=( T, implies( X, implies( Y, implies( Z, Y ) ) ) )] ), substitution( 1
% 0.77/1.18 , [ :=( X, falsehood ), :=( Y, Y ), :=( Z, Z ), :=( T, implies( Z, Y ) )
% 0.77/1.18 , :=( U, X )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 26, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 0.77/1.18 ] )
% 0.77/1.18 , clause( 1656, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) )
% 0.77/1.18 ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1657, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.77/1.18 , clause( 22, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( falsehood, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.77/1.18 , 1, clause( 26, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 0.77/1.18 ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 0.77/1.18 X, implies( Y, X ) ) )] ), substitution( 1, [ :=( X, implies( implies(
% 0.77/1.18 implies( falsehood, Z ), T ), implies( U, T ) ) ), :=( Y, X ), :=( Z, Y )] )
% 0.77/1.18 ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 27, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.77/1.18 , clause( 1657, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.77/1.18 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1658, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 0.77/1.18 implies( falsehood, Z ) ), T ), implies( U, T ) ) ) ) ] )
% 0.77/1.18 , clause( 10, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( X, implies( falsehood, Y ) ), Z ), implies( T, Z ) ), U
% 0.77/1.18 ) ) ) ] )
% 0.77/1.18 , 1, clause( 27, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, U ),
% 0.77/1.18 :=( U, implies( X, implies( implies( implies( Y, implies( falsehood, Z )
% 0.77/1.18 ), T ), implies( U, T ) ) ) )] ), substitution( 1, [ :=( X, implies(
% 0.77/1.18 implies( implies( Y, implies( falsehood, Z ) ), T ), implies( U, T ) ) )
% 0.77/1.18 , :=( Y, X )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 29, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 0.77/1.18 implies( falsehood, Z ) ), T ), implies( U, T ) ) ) ) ] )
% 0.77/1.18 , clause( 1658, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.77/1.18 , implies( falsehood, Z ) ), T ), implies( U, T ) ) ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.77/1.18 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1660, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) ),
% 0.77/1.18 Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.77/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.77/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.77/1.18 , 2, clause( 27, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 0.77/1.18 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 33, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.77/1.18 implies( Y, X ) ), Z ) ) ) ] )
% 0.77/1.18 , clause( 1660, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 0.77/1.18 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1661, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.77/1.18 implies( implies( Y, Z ), implies( T, falsehood ) ), U ) ), Y ), implies(
% 0.77/1.18 T, Y ) ) ) ] )
% 0.77/1.18 , clause( 33, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.77/1.18 , implies( Y, X ) ), Z ) ) ) ] )
% 0.77/1.18 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( implies(
% 0.77/1.18 implies( X, Y ), implies( Z, falsehood ) ), T ), U ), implies( implies( U
% 0.77/1.18 , X ), implies( Z, X ) ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( implies( implies( Y, Z ), implies(
% 0.77/1.18 T, falsehood ) ), U ) ), :=( Y, X ), :=( Z, implies( implies( implies( X
% 0.77/1.18 , implies( implies( implies( Y, Z ), implies( T, falsehood ) ), U ) ), Y
% 0.77/1.18 ), implies( T, Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ),
% 0.77/1.18 :=( Z, T ), :=( T, U ), :=( U, implies( X, implies( implies( implies( Y,
% 0.77/1.18 Z ), implies( T, falsehood ) ), U ) ) )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 36, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.77/1.18 implies( implies( Y, Z ), implies( T, falsehood ) ), U ) ), Y ), implies(
% 0.77/1.18 T, Y ) ) ) ] )
% 0.77/1.18 , clause( 1661, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.77/1.18 implies( implies( Y, Z ), implies( T, falsehood ) ), U ) ), Y ), implies(
% 0.77/1.18 T, Y ) ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.77/1.18 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1663, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.77/1.18 implies( Y, implies( falsehood, Z ) ), T ), implies( U, T ) ) ), W ) ) )
% 0.77/1.18 , 'is_a_theorem'( W ) ] )
% 0.77/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.77/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.77/1.18 , 2, clause( 29, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.77/1.18 , implies( falsehood, Z ) ), T ), implies( U, T ) ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y,
% 0.77/1.18 implies( falsehood, Z ) ), T ), implies( U, T ) ) ) ), :=( Y, W )] ),
% 0.77/1.18 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.77/1.18 , U )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 56, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X,
% 0.77/1.18 implies( implies( implies( Y, implies( falsehood, Z ) ), T ), implies( U
% 0.77/1.18 , T ) ) ), W ) ) ) ] )
% 0.77/1.18 , clause( 1663, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.77/1.18 implies( Y, implies( falsehood, Z ) ), T ), implies( U, T ) ) ), W ) ) )
% 0.77/1.18 , 'is_a_theorem'( W ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.77/1.18 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1665, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.77/1.18 implies( implies( implies( Y, Z ), implies( T, falsehood ) ), U ) ), Y )
% 0.77/1.18 , implies( T, Y ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.77/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.77/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.77/1.18 , 2, clause( 36, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.77/1.18 implies( implies( Y, Z ), implies( T, falsehood ) ), U ) ), Y ), implies(
% 0.77/1.18 T, Y ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, implies(
% 0.77/1.18 implies( implies( Y, Z ), implies( T, falsehood ) ), U ) ), Y ), implies(
% 0.77/1.18 T, Y ) ) ), :=( Y, W )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 0.77/1.18 :=( Z, Z ), :=( T, T ), :=( U, U )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 102, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( X, implies( implies( implies( Y, Z ), implies( T,
% 0.77/1.18 falsehood ) ), U ) ), Y ), implies( T, Y ) ), W ) ) ) ] )
% 0.77/1.18 , clause( 1665, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.77/1.18 , implies( implies( implies( Y, Z ), implies( T, falsehood ) ), U ) ), Y
% 0.77/1.18 ), implies( T, Y ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.77/1.18 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1666, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.77/1.18 implies( Z, implies( falsehood, T ) ), U ), implies( W, U ) ) ) ) ) ] )
% 0.77/1.18 , clause( 56, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X
% 0.77/1.18 , implies( implies( implies( Y, implies( falsehood, Z ) ), T ), implies(
% 0.77/1.18 U, T ) ) ), W ) ) ) ] )
% 0.77/1.18 , 1, clause( 27, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, U ),
% 0.77/1.18 :=( U, W ), :=( W, implies( X, implies( Y, implies( implies( implies( Z,
% 0.77/1.18 implies( falsehood, T ) ), U ), implies( W, U ) ) ) ) )] ),
% 0.77/1.18 substitution( 1, [ :=( X, implies( Y, implies( implies( implies( Z,
% 0.77/1.18 implies( falsehood, T ) ), U ), implies( W, U ) ) ) ), :=( Y, X )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 124, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.77/1.18 implies( Z, implies( falsehood, T ) ), U ), implies( W, U ) ) ) ) ) ] )
% 0.77/1.18 , clause( 1666, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.77/1.18 implies( Z, implies( falsehood, T ) ), U ), implies( W, U ) ) ) ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.77/1.18 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1668, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.77/1.18 implies( implies( Z, implies( falsehood, T ) ), U ), implies( W, U ) ) )
% 0.77/1.18 ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 0.77/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.77/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.77/1.18 , 2, clause( 124, [ 'is_a_theorem'( implies( X, implies( Y, implies(
% 0.77/1.18 implies( implies( Z, implies( falsehood, T ) ), U ), implies( W, U ) ) )
% 0.77/1.18 ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( implies(
% 0.77/1.18 implies( Z, implies( falsehood, T ) ), U ), implies( W, U ) ) ) ) ), :=(
% 0.77/1.18 Y, V0 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T
% 0.77/1.18 , T ), :=( U, U ), :=( W, W )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 126, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies( X
% 0.77/1.18 , implies( Y, implies( implies( implies( Z, implies( falsehood, T ) ), U
% 0.77/1.18 ), implies( W, U ) ) ) ), V0 ) ) ) ] )
% 0.77/1.18 , clause( 1668, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.77/1.18 implies( implies( implies( Z, implies( falsehood, T ) ), U ), implies( W
% 0.77/1.18 , U ) ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.77/1.18 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1
% 0.77/1.18 , 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1669, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.77/1.18 implies( implies( Y, implies( falsehood, Z ) ), T ), implies( U, T ) ) )
% 0.77/1.18 , W ), implies( V0, W ) ) ) ] )
% 0.77/1.18 , clause( 126, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 X, implies( Y, implies( implies( implies( Z, implies( falsehood, T ) ), U
% 0.77/1.18 ), implies( W, U ) ) ) ), V0 ) ) ) ] )
% 0.77/1.18 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( implies(
% 0.77/1.18 implies( X, Y ), implies( Z, falsehood ) ), T ), U ), implies( implies( U
% 0.77/1.18 , X ), implies( Z, X ) ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( implies( implies( W, V1 ), implies(
% 0.77/1.18 V0, falsehood ) ), V2 ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )
% 0.77/1.18 , :=( W, U ), :=( V0, implies( implies( implies( X, implies( implies(
% 0.77/1.18 implies( Y, implies( falsehood, Z ) ), T ), implies( U, T ) ) ), W ),
% 0.77/1.18 implies( V0, W ) ) )] ), substitution( 1, [ :=( X, W ), :=( Y, V1 ), :=(
% 0.77/1.18 Z, V0 ), :=( T, V2 ), :=( U, implies( X, implies( implies( implies( Y,
% 0.77/1.18 implies( falsehood, Z ) ), T ), implies( U, T ) ) ) )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 171, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.77/1.18 implies( implies( Y, implies( falsehood, Z ) ), T ), implies( U, T ) ) )
% 0.77/1.18 , W ), implies( V0, W ) ) ) ] )
% 0.77/1.18 , clause( 1669, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.77/1.18 implies( implies( Y, implies( falsehood, Z ) ), T ), implies( U, T ) ) )
% 0.77/1.18 , W ), implies( V0, W ) ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.77/1.18 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 0.77/1.18 ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1670, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.77/1.18 implies( implies( Y, implies( falsehood, Z ) ), T ), implies( U, T ) ), W
% 0.77/1.18 ), implies( V0, W ) ) ) ) ] )
% 0.77/1.18 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( implies( implies( X, Y ), implies( Z, falsehood ) ), T
% 0.77/1.18 ), U ), implies( implies( U, X ), implies( Z, X ) ) ), W ) ) ) ] )
% 0.77/1.18 , 1, clause( 171, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.77/1.18 implies( implies( Y, implies( falsehood, Z ) ), T ), implies( U, T ) ) )
% 0.77/1.18 , W ), implies( V0, W ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, W ), :=( Y, V1 ), :=( Z, V0 ), :=( T, V2 ),
% 0.77/1.18 :=( U, implies( implies( implies( Y, implies( falsehood, Z ) ), T ),
% 0.77/1.18 implies( U, T ) ) ), :=( W, implies( X, implies( implies( implies(
% 0.77/1.18 implies( implies( Y, implies( falsehood, Z ) ), T ), implies( U, T ) ), W
% 0.77/1.18 ), implies( V0, W ) ) ) )] ), substitution( 1, [ :=( X, implies( implies(
% 0.77/1.18 implies( W, V1 ), implies( V0, falsehood ) ), V2 ) ), :=( Y, Y ), :=( Z,
% 0.77/1.18 Z ), :=( T, T ), :=( U, U ), :=( W, implies( implies( implies( implies(
% 0.77/1.18 implies( Y, implies( falsehood, Z ) ), T ), implies( U, T ) ), W ),
% 0.77/1.18 implies( V0, W ) ) ), :=( V0, X )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 174, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.77/1.18 implies( implies( Y, implies( falsehood, Z ) ), T ), implies( U, T ) ), W
% 0.77/1.18 ), implies( V0, W ) ) ) ) ] )
% 0.77/1.18 , clause( 1670, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.77/1.18 implies( implies( Y, implies( falsehood, Z ) ), T ), implies( U, T ) ), W
% 0.77/1.18 ), implies( V0, W ) ) ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.77/1.18 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 0.77/1.18 ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1672, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.77/1.18 implies( implies( implies( Y, implies( falsehood, Z ) ), T ), implies( U
% 0.77/1.18 , T ) ), W ), implies( V0, W ) ) ), V1 ) ) ), 'is_a_theorem'( V1 ) ] )
% 0.77/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.77/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.77/1.18 , 2, clause( 174, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.77/1.18 implies( implies( Y, implies( falsehood, Z ) ), T ), implies( U, T ) ), W
% 0.77/1.18 ), implies( V0, W ) ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies(
% 0.77/1.18 implies( implies( Y, implies( falsehood, Z ) ), T ), implies( U, T ) ), W
% 0.77/1.18 ), implies( V0, W ) ) ) ), :=( Y, V1 )] ), substitution( 1, [ :=( X, X )
% 0.77/1.18 , :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, U ), :=( W, W ), :=( V0, V0
% 0.77/1.18 )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 176, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies( X
% 0.77/1.18 , implies( implies( implies( implies( implies( Y, implies( falsehood, Z )
% 0.77/1.18 ), T ), implies( U, T ) ), W ), implies( V0, W ) ) ), V1 ) ) ) ] )
% 0.77/1.18 , clause( 1672, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.77/1.18 implies( implies( implies( Y, implies( falsehood, Z ) ), T ), implies( U
% 0.77/1.18 , T ) ), W ), implies( V0, W ) ) ), V1 ) ) ), 'is_a_theorem'( V1 ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.77/1.18 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 0.77/1.18 0, 1 ), ==>( 1, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1673, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.77/1.18 implies( implies( implies( Y, T ), implies( X, falsehood ) ), Z ) ) ) ]
% 0.77/1.18 )
% 0.77/1.18 , clause( 102, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( X, implies( implies( implies( Y, Z ), implies( T,
% 0.77/1.18 falsehood ) ), U ) ), Y ), implies( T, Y ) ), W ) ) ) ] )
% 0.77/1.18 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( implies(
% 0.77/1.18 implies( X, Y ), implies( Z, falsehood ) ), T ), U ), implies( implies( U
% 0.77/1.18 , X ), implies( Z, X ) ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( Z, U ) ), :=( Y, Y ), :=( Z, T ),
% 0.77/1.18 :=( T, X ), :=( U, falsehood ), :=( W, implies( implies( implies( X, Y )
% 0.77/1.18 , Z ), implies( implies( implies( Y, T ), implies( X, falsehood ) ), Z )
% 0.77/1.18 ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, U ), :=( Z, implies(
% 0.77/1.18 implies( Y, T ), implies( X, falsehood ) ) ), :=( T, Y ), :=( U, implies(
% 0.77/1.18 X, Y ) )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 254, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.77/1.18 implies( implies( implies( Y, T ), implies( X, falsehood ) ), Z ) ) ) ]
% 0.77/1.18 )
% 0.77/1.18 , clause( 1673, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.77/1.18 implies( implies( implies( Y, T ), implies( X, falsehood ) ), Z ) ) ) ]
% 0.77/1.18 )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.77/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1674, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.77/1.18 Z, falsehood ) ), implies( T, implies( Z, X ) ) ) ) ] )
% 0.77/1.18 , clause( 33, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.77/1.18 , implies( Y, X ) ), Z ) ) ) ] )
% 0.77/1.18 , 1, clause( 254, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.77/1.18 , implies( implies( implies( Y, T ), implies( X, falsehood ) ), Z ) ) ) ]
% 0.77/1.18 )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( Z, X ) ), :=( Y, T ), :=( Z,
% 0.77/1.18 implies( implies( implies( X, Y ), implies( Z, falsehood ) ), implies( T
% 0.77/1.18 , implies( Z, X ) ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, X ),
% 0.77/1.18 :=( Z, implies( T, implies( Z, X ) ) ), :=( T, Y )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 268, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.77/1.18 Z, falsehood ) ), implies( T, implies( Z, X ) ) ) ) ] )
% 0.77/1.18 , clause( 1674, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.77/1.18 implies( Z, falsehood ) ), implies( T, implies( Z, X ) ) ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.77/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1675, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.77/1.18 implies( falsehood, Z ), falsehood ) ), implies( T, X ) ) ) ] )
% 0.77/1.18 , clause( 22, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( falsehood, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.77/1.18 , 1, clause( 254, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.77/1.18 , implies( implies( implies( Y, T ), implies( X, falsehood ) ), Z ) ) ) ]
% 0.77/1.18 )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, implies(
% 0.77/1.18 implies( implies( X, Y ), implies( implies( falsehood, Z ), falsehood ) )
% 0.77/1.18 , implies( T, X ) ) )] ), substitution( 1, [ :=( X, implies( falsehood, Z
% 0.77/1.18 ) ), :=( Y, X ), :=( Z, implies( T, X ) ), :=( T, Y )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.77/1.18 implies( falsehood, Z ), falsehood ) ), implies( T, X ) ) ) ] )
% 0.77/1.18 , clause( 1675, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.77/1.18 implies( implies( falsehood, Z ), falsehood ) ), implies( T, X ) ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.77/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1677, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.77/1.18 ), implies( Z, falsehood ) ), implies( T, implies( Z, X ) ) ), U ) ) ),
% 0.77/1.18 'is_a_theorem'( U ) ] )
% 0.77/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.77/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.77/1.18 , 2, clause( 268, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.77/1.18 implies( Z, falsehood ) ), implies( T, implies( Z, X ) ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), implies(
% 0.77/1.18 Z, falsehood ) ), implies( T, implies( Z, X ) ) ) ), :=( Y, U )] ),
% 0.77/1.18 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 275, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( X, Y ), implies( Z, falsehood ) ), implies( T, implies(
% 0.77/1.18 Z, X ) ) ), U ) ) ) ] )
% 0.77/1.18 , clause( 1677, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.77/1.18 , Y ), implies( Z, falsehood ) ), implies( T, implies( Z, X ) ) ), U ) )
% 0.77/1.18 ), 'is_a_theorem'( U ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.77/1.18 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1679, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.77/1.18 ), implies( implies( falsehood, Z ), falsehood ) ), implies( T, X ) ), U
% 0.77/1.18 ) ) ), 'is_a_theorem'( U ) ] )
% 0.77/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.77/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.77/1.18 , 2, clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.77/1.18 implies( implies( falsehood, Z ), falsehood ) ), implies( T, X ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), implies(
% 0.77/1.18 implies( falsehood, Z ), falsehood ) ), implies( T, X ) ) ), :=( Y, U )] )
% 0.77/1.18 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.77/1.18 ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 278, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( X, Y ), implies( implies( falsehood, Z ), falsehood ) )
% 0.77/1.18 , implies( T, X ) ), U ) ) ) ] )
% 0.77/1.18 , clause( 1679, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.77/1.18 , Y ), implies( implies( falsehood, Z ), falsehood ) ), implies( T, X ) )
% 0.77/1.18 , U ) ) ), 'is_a_theorem'( U ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.77/1.18 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1680, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.77/1.18 falsehood ), Y ), implies( implies( Z, T ), falsehood ) ), implies( U,
% 0.77/1.18 implies( X, Z ) ) ) ) ] )
% 0.77/1.18 , clause( 275, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( X, Y ), implies( Z, falsehood ) ), implies( T, implies(
% 0.77/1.18 Z, X ) ) ), U ) ) ) ] )
% 0.77/1.18 , 1, clause( 254, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.77/1.18 , implies( implies( implies( Y, T ), implies( X, falsehood ) ), Z ) ) ) ]
% 0.77/1.18 )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, U ),
% 0.77/1.18 :=( U, implies( implies( implies( implies( X, falsehood ), Y ), implies(
% 0.77/1.18 implies( Z, T ), falsehood ) ), implies( U, implies( X, Z ) ) ) )] ),
% 0.77/1.18 substitution( 1, [ :=( X, implies( Z, T ) ), :=( Y, implies( X, falsehood
% 0.77/1.18 ) ), :=( Z, implies( U, implies( X, Z ) ) ), :=( T, Y )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 361, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.77/1.18 falsehood ), Y ), implies( implies( Z, T ), falsehood ) ), implies( U,
% 0.77/1.18 implies( X, Z ) ) ) ) ] )
% 0.77/1.18 , clause( 1680, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.77/1.18 falsehood ), Y ), implies( implies( Z, T ), falsehood ) ), implies( U,
% 0.77/1.18 implies( X, Z ) ) ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.77/1.18 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1681, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.77/1.18 ) ), Y ), implies( T, Y ) ) ) ] )
% 0.77/1.18 , clause( 278, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( X, Y ), implies( implies( falsehood, Z ), falsehood ) )
% 0.77/1.18 , implies( T, X ) ), U ) ) ) ] )
% 0.77/1.18 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( implies(
% 0.77/1.18 implies( X, Y ), implies( Z, falsehood ) ), T ), U ), implies( implies( U
% 0.77/1.18 , X ), implies( Z, X ) ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, implies( T,
% 0.77/1.18 falsehood ) ), :=( Z, U ), :=( T, X ), :=( U, implies( implies( implies(
% 0.77/1.18 X, implies( Y, Z ) ), Y ), implies( T, Y ) ) )] ), substitution( 1, [
% 0.77/1.18 :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies( implies( falsehood, U
% 0.77/1.18 ), falsehood ) ), :=( U, implies( X, implies( Y, Z ) ) )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 372, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.77/1.18 ) ), Y ), implies( T, Y ) ) ) ] )
% 0.77/1.18 , clause( 1681, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.77/1.18 , Z ) ), Y ), implies( T, Y ) ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.77/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1683, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.77/1.18 implies( Y, Z ) ), Y ), implies( T, Y ) ), U ) ) ), 'is_a_theorem'( U ) ]
% 0.77/1.18 )
% 0.77/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.77/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.77/1.18 , 2, clause( 372, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.77/1.18 Y, Z ) ), Y ), implies( T, Y ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, implies( Y, Z
% 0.77/1.18 ) ), Y ), implies( T, Y ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X,
% 0.77/1.18 X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 373, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( X, implies( Y, Z ) ), Y ), implies( T, Y ) ), U ) ) ) ]
% 0.77/1.18 )
% 0.77/1.18 , clause( 1683, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.77/1.18 , implies( Y, Z ) ), Y ), implies( T, Y ) ), U ) ) ), 'is_a_theorem'( U )
% 0.77/1.18 ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.77/1.18 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1684, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.77/1.18 implies( Y, Z ) ) ) ] )
% 0.77/1.18 , clause( 373, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( X, implies( Y, Z ) ), Y ), implies( T, Y ) ), U ) ) ) ]
% 0.77/1.18 )
% 0.77/1.18 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( implies(
% 0.77/1.18 implies( X, Y ), implies( Z, falsehood ) ), T ), U ), implies( implies( U
% 0.77/1.18 , X ), implies( Z, X ) ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( Z, T ) ), :=( Y, Y ), :=( Z,
% 0.77/1.18 falsehood ), :=( T, X ), :=( U, implies( implies( implies( X, Y ), Z ),
% 0.77/1.18 implies( Y, Z ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, T ), :=( Z
% 0.77/1.18 , Y ), :=( T, Y ), :=( U, implies( X, Y ) )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 379, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.77/1.18 implies( Y, Z ) ) ) ] )
% 0.77/1.18 , clause( 1684, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.77/1.18 implies( Y, Z ) ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1686, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.77/1.18 ), Z ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.77/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.77/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.77/1.18 , 2, clause( 379, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.77/1.18 , implies( Y, Z ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 0.77/1.18 implies( Y, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.77/1.18 , Y ), :=( Z, Z )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 386, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 0.77/1.18 , clause( 1686, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.77/1.18 , Y ), Z ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.77/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1687, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.77/1.18 falsehood ), Y ), Z ), implies( X, Z ) ) ) ] )
% 0.77/1.18 , clause( 386, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 0.77/1.18 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( implies(
% 0.77/1.18 implies( X, Y ), implies( Z, falsehood ) ), T ), U ), implies( implies( U
% 0.77/1.18 , X ), implies( Z, X ) ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( Z, T ) ), :=( Y, implies( X,
% 0.77/1.18 falsehood ) ), :=( Z, Y ), :=( T, implies( implies( implies( implies( X,
% 0.77/1.18 falsehood ), Y ), Z ), implies( X, Z ) ) )] ), substitution( 1, [ :=( X,
% 0.77/1.18 Z ), :=( Y, T ), :=( Z, X ), :=( T, Y ), :=( U, implies( implies( X,
% 0.77/1.18 falsehood ), Y ) )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 553, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.77/1.18 falsehood ), Y ), Z ), implies( X, Z ) ) ) ] )
% 0.77/1.18 , clause( 1687, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.77/1.18 falsehood ), Y ), Z ), implies( X, Z ) ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1689, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.77/1.18 implies( X, falsehood ), Y ), Z ), implies( X, Z ) ), T ) ) ),
% 0.77/1.18 'is_a_theorem'( T ) ] )
% 0.77/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.77/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.77/1.18 , 2, clause( 553, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.77/1.18 falsehood ), Y ), Z ), implies( X, Z ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X,
% 0.77/1.18 falsehood ), Y ), Z ), implies( X, Z ) ) ), :=( Y, T )] ), substitution(
% 0.77/1.18 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 558, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( implies( X, falsehood ), Y ), Z ), implies( X, Z ) ), T
% 0.77/1.18 ) ) ) ] )
% 0.77/1.18 , clause( 1689, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.77/1.18 implies( X, falsehood ), Y ), Z ), implies( X, Z ) ), T ) ) ),
% 0.77/1.18 'is_a_theorem'( T ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.77/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1690, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.77/1.18 ), falsehood ), Y ) ) ) ] )
% 0.77/1.18 , clause( 558, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 implies( implies( implies( X, falsehood ), Y ), Z ), implies( X, Z ) ), T
% 0.77/1.18 ) ) ) ] )
% 0.77/1.18 , 1, clause( 361, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.77/1.18 falsehood ), Y ), implies( implies( Z, T ), falsehood ) ), implies( U,
% 0.77/1.18 implies( X, Z ) ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, falsehood ), :=( Z
% 0.77/1.18 , falsehood ), :=( T, implies( X, implies( implies( implies( Y, Z ),
% 0.77/1.18 falsehood ), Y ) ) )] ), substitution( 1, [ :=( X, implies( implies( Y, Z
% 0.77/1.18 ), falsehood ) ), :=( Y, falsehood ), :=( Z, Y ), :=( T, Z ), :=( U, X )] )
% 0.77/1.18 ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 1460, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.77/1.18 ), falsehood ), Y ) ) ) ] )
% 0.77/1.18 , clause( 1690, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.77/1.18 , Z ), falsehood ), Y ) ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1691, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.77/1.18 falsehood ), X ) ) ] )
% 0.77/1.18 , clause( 176, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies(
% 0.77/1.18 X, implies( implies( implies( implies( implies( Y, implies( falsehood, Z
% 0.77/1.18 ) ), T ), implies( U, T ) ), W ), implies( V0, W ) ) ), V1 ) ) ) ] )
% 0.77/1.18 , 1, clause( 1460, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.77/1.18 Y, Z ), falsehood ), Y ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 0.77/1.18 :=( U, V0 ), :=( W, V1 ), :=( V0, V2 ), :=( V1, implies( implies( implies(
% 0.77/1.18 X, Y ), falsehood ), X ) )] ), substitution( 1, [ :=( X, implies( Z,
% 0.77/1.18 implies( implies( implies( implies( implies( T, implies( falsehood, U ) )
% 0.77/1.18 , W ), implies( V0, W ) ), V1 ), implies( V2, V1 ) ) ) ), :=( Y, X ),
% 0.77/1.18 :=( Z, Y )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 1633, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.77/1.18 falsehood ), X ) ) ] )
% 0.77/1.18 , clause( 1691, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.77/1.18 falsehood ), X ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.77/1.18 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 resolution(
% 0.77/1.18 clause( 1692, [] )
% 0.77/1.18 , clause( 2, [ ~( 'is_a_theorem'( implies( implies( implies( a, falsehood )
% 0.77/1.18 , falsehood ), a ) ) ) ] )
% 0.77/1.18 , 0, clause( 1633, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.77/1.18 falsehood ), X ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, falsehood
% 0.77/1.18 )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 1636, [] )
% 0.77/1.18 , clause( 1692, [] )
% 0.77/1.18 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 end.
% 0.77/1.18
% 0.77/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.77/1.18
% 0.77/1.18 Memory use:
% 0.77/1.18
% 0.77/1.18 space for terms: 37720
% 0.77/1.18 space for clauses: 201860
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 clauses generated: 14876
% 0.77/1.18 clauses kept: 1637
% 0.77/1.18 clauses selected: 321
% 0.77/1.18 clauses deleted: 80
% 0.77/1.18 clauses inuse deleted: 23
% 0.77/1.18
% 0.77/1.18 subsentry: 13722
% 0.77/1.18 literals s-matched: 13319
% 0.77/1.18 literals matched: 13319
% 0.77/1.18 full subsumption: 0
% 0.77/1.18
% 0.77/1.18 checksum: -798427317
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 Bliksem ended
%------------------------------------------------------------------------------