TSTP Solution File: LCL088-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL088-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 07:50:10 EDT 2022
% Result : Unsatisfiable 0.66s 1.07s
% Output : Refutation 0.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL088-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.32 % Computer : n006.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Mon Jul 4 12:01:37 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.66/1.07 *** allocated 10000 integers for termspace/termends
% 0.66/1.07 *** allocated 10000 integers for clauses
% 0.66/1.07 *** allocated 10000 integers for justifications
% 0.66/1.07 Bliksem 1.12
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 Automatic Strategy Selection
% 0.66/1.07
% 0.66/1.07 Clauses:
% 0.66/1.07 [
% 0.66/1.07 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.66/1.07 'is_a_theorem'( Y ) ],
% 0.66/1.07 [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z, T ) ),
% 0.66/1.07 implies( U, implies( implies( T, X ), implies( Z, X ) ) ) ) ) ],
% 0.66/1.07 [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a ), a ) ) ) ]
% 0.66/1.07 ] .
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 percentage equality = 0.000000, percentage horn = 1.000000
% 0.66/1.07 This is a near-Horn, non-equality problem
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 Options Used:
% 0.66/1.07
% 0.66/1.07 useres = 1
% 0.66/1.07 useparamod = 0
% 0.66/1.07 useeqrefl = 0
% 0.66/1.07 useeqfact = 0
% 0.66/1.07 usefactor = 1
% 0.66/1.07 usesimpsplitting = 0
% 0.66/1.07 usesimpdemod = 0
% 0.66/1.07 usesimpres = 4
% 0.66/1.07
% 0.66/1.07 resimpinuse = 1000
% 0.66/1.07 resimpclauses = 20000
% 0.66/1.07 substype = standard
% 0.66/1.07 backwardsubs = 1
% 0.66/1.07 selectoldest = 5
% 0.66/1.07
% 0.66/1.07 litorderings [0] = split
% 0.66/1.07 litorderings [1] = liftord
% 0.66/1.07
% 0.66/1.07 termordering = none
% 0.66/1.07
% 0.66/1.07 litapriori = 1
% 0.66/1.07 termapriori = 0
% 0.66/1.07 litaposteriori = 0
% 0.66/1.07 termaposteriori = 0
% 0.66/1.07 demodaposteriori = 0
% 0.66/1.07 ordereqreflfact = 0
% 0.66/1.07
% 0.66/1.07 litselect = negative
% 0.66/1.07
% 0.66/1.07 maxweight = 30000
% 0.66/1.07 maxdepth = 30000
% 0.66/1.07 maxlength = 115
% 0.66/1.07 maxnrvars = 195
% 0.66/1.07 excuselevel = 0
% 0.66/1.07 increasemaxweight = 0
% 0.66/1.07
% 0.66/1.07 maxselected = 10000000
% 0.66/1.07 maxnrclauses = 10000000
% 0.66/1.07
% 0.66/1.07 showgenerated = 0
% 0.66/1.07 showkept = 0
% 0.66/1.07 showselected = 0
% 0.66/1.07 showdeleted = 0
% 0.66/1.07 showresimp = 1
% 0.66/1.07 showstatus = 2000
% 0.66/1.07
% 0.66/1.07 prologoutput = 1
% 0.66/1.07 nrgoals = 5000000
% 0.66/1.07 totalproof = 1
% 0.66/1.07
% 0.66/1.07 Symbols occurring in the translation:
% 0.66/1.07
% 0.66/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.66/1.07 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.66/1.07 ! [4, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.66/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.66/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.66/1.07 implies [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.66/1.07 'is_a_theorem' [42, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.66/1.07 a [48, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.66/1.07 b [49, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 Starting Search:
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 Bliksems!, er is een bewijs:
% 0.66/1.07 % SZS status Unsatisfiable
% 0.66/1.07 % SZS output start Refutation
% 0.66/1.07
% 0.66/1.07 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.66/1.07 ~( 'is_a_theorem'( X ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z
% 0.66/1.07 , T ) ), implies( U, implies( implies( T, X ), implies( Z, X ) ) ) ) ) ]
% 0.66/1.07 )
% 0.66/1.07 .
% 0.66/1.07 clause( 2, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a ), a )
% 0.66/1.07 ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.66/1.07 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.66/1.07 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 4, [ 'is_a_theorem'( implies( X, implies( implies( implies( implies(
% 0.66/1.07 Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W, implies( Z, U )
% 0.66/1.07 ) ) ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.66/1.07 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 0.66/1.07 )
% 0.66/1.07 .
% 0.66/1.07 clause( 6, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies( X,
% 0.66/1.07 implies( implies( implies( implies( Y, Z ), implies( T, Z ) ), implies( Z
% 0.66/1.07 , U ) ), implies( W, implies( Z, U ) ) ) ), V0 ) ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 7, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y, Z
% 0.66/1.07 ), implies( T, Z ) ) ) ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 8, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.66/1.07 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.66/1.07 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 9, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), implies(
% 0.66/1.07 Z, Y ) ) ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 0.66/1.07 implies( implies( X, Y ), implies( Z, Y ) ) ), T ) ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 14, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z )
% 0.66/1.07 , T ), implies( implies( implies( T, U ), Z ), T ) ) ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 20, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.66/1.07 implies( implies( implies( Z, T ), Y ), Z ) ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 24, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.66/1.07 implies( implies( X, Y ), Z ), implies( implies( implies( Z, T ), Y ), Z
% 0.66/1.07 ) ), U ) ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 31, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.66/1.07 Z, implies( Y, Z ) ) ) ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 33, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.66/1.07 X, Y ) ) ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 38, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.66/1.07 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 60, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z )
% 0.66/1.07 , Y ), implies( Z, Y ) ) ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 61, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.66/1.07 implies( Y, X ) ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 66, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.66/1.07 implies( implies( X, Y ), X ), implies( Y, X ) ), Z ) ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 86, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 0.66/1.07 ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 90, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 93, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.66/1.07 implies( Y, X ) ), Z ) ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 107, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.66/1.07 ), Y ), implies( T, Y ) ) ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 127, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.66/1.07 implies( Z, X ) ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 165, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.66/1.07 ), Y ), Y ) ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 172, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X )
% 0.66/1.07 ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 175, [] )
% 0.66/1.07 .
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 % SZS output end Refutation
% 0.66/1.07 found a proof!
% 0.66/1.07
% 0.66/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.66/1.07
% 0.66/1.07 initialclauses(
% 0.66/1.07 [ clause( 177, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.66/1.07 X ) ), 'is_a_theorem'( Y ) ] )
% 0.66/1.07 , clause( 178, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.66/1.07 Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X ) ) ) ) ) ]
% 0.66/1.07 )
% 0.66/1.07 , clause( 179, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a )
% 0.66/1.07 , a ) ) ) ] )
% 0.66/1.07 ] ).
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 subsumption(
% 0.66/1.07 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.66/1.07 ~( 'is_a_theorem'( X ) ) ] )
% 0.66/1.07 , clause( 177, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.66/1.07 X ) ), 'is_a_theorem'( Y ) ] )
% 0.66/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.07 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 subsumption(
% 0.66/1.07 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z
% 0.66/1.07 , T ) ), implies( U, implies( implies( T, X ), implies( Z, X ) ) ) ) ) ]
% 0.66/1.07 )
% 0.66/1.07 , clause( 178, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.66/1.07 Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X ) ) ) ) ) ]
% 0.66/1.07 )
% 0.66/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.66/1.07 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 subsumption(
% 0.66/1.07 clause( 2, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a ), a )
% 0.66/1.07 ) ) ] )
% 0.66/1.07 , clause( 179, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a )
% 0.66/1.07 , a ) ) ) ] )
% 0.66/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 resolution(
% 0.66/1.07 clause( 181, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.66/1.07 ), implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z,
% 0.66/1.07 X ) ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.66/1.07 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.66/1.07 , ~( 'is_a_theorem'( X ) ) ] )
% 0.66/1.07 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.66/1.07 implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X )
% 0.66/1.07 ) ) ) ) ] )
% 0.66/1.07 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), implies(
% 0.66/1.07 Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X ) ) ) ) ),
% 0.66/1.07 :=( Y, W )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 0.66/1.07 :=( T, T ), :=( U, U )] )).
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 subsumption(
% 0.66/1.07 clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.66/1.07 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.66/1.07 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.66/1.07 , clause( 181, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.66/1.07 Y ), implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z
% 0.66/1.07 , X ) ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.66/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.66/1.07 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 resolution(
% 0.66/1.07 clause( 182, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.66/1.07 implies( Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W,
% 0.66/1.07 implies( Z, U ) ) ) ) ) ] )
% 0.66/1.07 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.66/1.07 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.66/1.07 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.66/1.07 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.66/1.07 implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X )
% 0.66/1.07 ) ) ) ) ] )
% 0.66/1.07 , 0, substitution( 0, [ :=( X, Z ), :=( Y, U ), :=( Z, T ), :=( T, Y ),
% 0.66/1.07 :=( U, W ), :=( W, implies( X, implies( implies( implies( implies( Y, Z )
% 0.66/1.07 , implies( T, Z ) ), implies( Z, U ) ), implies( W, implies( Z, U ) ) ) )
% 0.66/1.07 )] ), substitution( 1, [ :=( X, implies( Z, U ) ), :=( Y, implies( T, Y
% 0.66/1.07 ) ), :=( Z, W ), :=( T, implies( implies( Y, Z ), implies( T, Z ) ) ),
% 0.66/1.07 :=( U, X )] )).
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 subsumption(
% 0.66/1.07 clause( 4, [ 'is_a_theorem'( implies( X, implies( implies( implies( implies(
% 0.66/1.07 Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W, implies( Z, U )
% 0.66/1.07 ) ) ) ) ] )
% 0.66/1.07 , clause( 182, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.66/1.07 implies( Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W,
% 0.66/1.07 implies( Z, U ) ) ) ) ) ] )
% 0.66/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.66/1.07 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 resolution(
% 0.66/1.07 clause( 183, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.66/1.07 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 0.66/1.07 )
% 0.66/1.07 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.66/1.07 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.66/1.07 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.66/1.07 , 1, clause( 4, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.66/1.07 implies( Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W,
% 0.66/1.07 implies( Z, U ) ) ) ) ) ] )
% 0.66/1.07 , 0, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, V1 ), :=( T, V2 ),
% 0.66/1.07 :=( U, V3 ), :=( W, implies( implies( implies( implies( X, Y ), implies(
% 0.66/1.07 Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) )] ),
% 0.66/1.07 substitution( 1, [ :=( X, implies( implies( implies( W, V0 ), implies( V1
% 0.66/1.07 , V2 ) ), implies( V3, implies( implies( V2, W ), implies( V1, W ) ) ) )
% 0.66/1.07 ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T ), :=( W, U )] )).
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 subsumption(
% 0.66/1.07 clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.66/1.07 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 0.66/1.07 )
% 0.66/1.07 , clause( 183, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.66/1.07 , implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) )
% 0.66/1.07 ] )
% 0.66/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.66/1.07 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 resolution(
% 0.66/1.07 clause( 185, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.66/1.07 implies( implies( Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies(
% 0.66/1.07 W, implies( Z, U ) ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 0.66/1.07 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.66/1.07 , ~( 'is_a_theorem'( X ) ) ] )
% 0.66/1.07 , 2, clause( 4, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.66/1.07 implies( Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W,
% 0.66/1.07 implies( Z, U ) ) ) ) ) ] )
% 0.66/1.07 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies(
% 0.66/1.07 implies( Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W,
% 0.66/1.07 implies( Z, U ) ) ) ) ), :=( Y, V0 )] ), substitution( 1, [ :=( X, X ),
% 0.66/1.07 :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, U ), :=( W, W )] )).
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 subsumption(
% 0.66/1.07 clause( 6, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies( X,
% 0.66/1.07 implies( implies( implies( implies( Y, Z ), implies( T, Z ) ), implies( Z
% 0.66/1.07 , U ) ), implies( W, implies( Z, U ) ) ) ), V0 ) ) ) ] )
% 0.66/1.07 , clause( 185, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.66/1.07 implies( implies( Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies(
% 0.66/1.07 W, implies( Z, U ) ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 0.66/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.66/1.07 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1
% 0.66/1.07 , 0 )] ) ).
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 resolution(
% 0.66/1.07 clause( 186, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y
% 0.66/1.07 , Z ), implies( T, Z ) ) ) ) ) ] )
% 0.66/1.07 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.66/1.07 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.66/1.07 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.66/1.07 , 1, clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.66/1.07 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.66/1.07 ) ] )
% 0.66/1.07 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, Y ),
% 0.66/1.07 :=( U, Y ), :=( W, implies( X, implies( Y, implies( implies( Y, Z ),
% 0.66/1.07 implies( T, Z ) ) ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, Y ),
% 0.66/1.07 :=( Z, T ), :=( T, implies( implies( Y, Z ), implies( T, Z ) ) ), :=( U,
% 0.66/1.07 X )] )).
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 subsumption(
% 0.66/1.07 clause( 7, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y, Z
% 0.66/1.07 ), implies( T, Z ) ) ) ) ) ] )
% 0.66/1.07 , clause( 186, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.66/1.07 Y, Z ), implies( T, Z ) ) ) ) ) ] )
% 0.66/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.66/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 resolution(
% 0.66/1.07 clause( 188, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.66/1.07 implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ), implies( U,
% 0.66/1.07 implies( Y, T ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.66/1.07 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.66/1.07 , ~( 'is_a_theorem'( X ) ) ] )
% 0.66/1.07 , 2, clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.66/1.07 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.66/1.07 ) ] )
% 0.66/1.07 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.66/1.07 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ),
% 0.66/1.07 :=( Y, W )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 0.66/1.07 :=( T, T ), :=( U, U )] )).
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 subsumption(
% 0.66/1.07 clause( 8, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.66/1.07 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.66/1.07 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.66/1.07 , clause( 188, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.66/1.07 implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ), implies( U,
% 0.66/1.07 implies( Y, T ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.66/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.66/1.07 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 resolution(
% 0.66/1.07 clause( 189, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 0.66/1.07 implies( Z, Y ) ) ) ) ] )
% 0.66/1.07 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.66/1.07 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.66/1.08 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.66/1.08 , 1, clause( 7, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.66/1.08 Y, Z ), implies( T, Z ) ) ) ) ) ] )
% 0.66/1.08 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, V0 ),
% 0.66/1.08 :=( U, V1 ), :=( W, implies( X, implies( implies( X, Y ), implies( Z, Y )
% 0.66/1.08 ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies( T, U ),
% 0.66/1.08 implies( W, V0 ) ), implies( V1, implies( implies( V0, T ), implies( W, T
% 0.66/1.08 ) ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 subsumption(
% 0.66/1.08 clause( 9, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), implies(
% 0.66/1.08 Z, Y ) ) ) ) ] )
% 0.66/1.08 , clause( 189, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 0.66/1.08 implies( Z, Y ) ) ) ) ] )
% 0.66/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.66/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 resolution(
% 0.66/1.08 clause( 191, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies( X
% 0.66/1.08 , Y ), implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.66/1.08 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.66/1.08 , ~( 'is_a_theorem'( X ) ) ] )
% 0.66/1.08 , 2, clause( 9, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 0.66/1.08 implies( Z, Y ) ) ) ) ] )
% 0.66/1.08 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( X, Y ),
% 0.66/1.08 implies( Z, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 0.66/1.08 Y, Y ), :=( Z, Z )] )).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 subsumption(
% 0.66/1.08 clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 0.66/1.08 implies( implies( X, Y ), implies( Z, Y ) ) ), T ) ) ) ] )
% 0.66/1.08 , clause( 191, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.66/1.08 X, Y ), implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.66/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.66/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 resolution(
% 0.66/1.08 clause( 192, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.66/1.08 ), T ), implies( implies( implies( T, U ), Z ), T ) ) ) ) ] )
% 0.66/1.08 , clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.66/1.08 , implies( implies( X, Y ), implies( Z, Y ) ) ), T ) ) ) ] )
% 0.66/1.08 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.66/1.08 implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X )
% 0.66/1.08 ) ) ) ) ] )
% 0.66/1.08 , 0, substitution( 0, [ :=( X, implies( T, U ) ), :=( Y, Z ), :=( Z, Y ),
% 0.66/1.08 :=( T, implies( X, implies( implies( implies( Y, Z ), T ), implies(
% 0.66/1.08 implies( implies( T, U ), Z ), T ) ) ) )] ), substitution( 1, [ :=( X, T
% 0.66/1.08 ), :=( Y, U ), :=( Z, implies( implies( T, U ), Z ) ), :=( T, implies( Y
% 0.66/1.08 , Z ) ), :=( U, X )] )).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 subsumption(
% 0.66/1.08 clause( 14, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z )
% 0.66/1.08 , T ), implies( implies( implies( T, U ), Z ), T ) ) ) ) ] )
% 0.66/1.08 , clause( 192, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 0.66/1.08 Z ), T ), implies( implies( implies( T, U ), Z ), T ) ) ) ) ] )
% 0.66/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.66/1.08 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 resolution(
% 0.66/1.08 clause( 193, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.66/1.08 implies( implies( implies( Z, T ), Y ), Z ) ) ) ] )
% 0.66/1.08 , clause( 6, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies( X
% 0.66/1.08 , implies( implies( implies( implies( Y, Z ), implies( T, Z ) ), implies(
% 0.66/1.08 Z, U ) ), implies( W, implies( Z, U ) ) ) ), V0 ) ) ) ] )
% 0.66/1.08 , 1, clause( 14, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.66/1.08 , Z ), T ), implies( implies( implies( T, U ), Z ), T ) ) ) ) ] )
% 0.66/1.08 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 0.66/1.08 :=( U, V2 ), :=( W, V3 ), :=( V0, implies( implies( implies( X, Y ), Z )
% 0.66/1.08 , implies( implies( implies( Z, T ), Y ), Z ) ) )] ), substitution( 1, [
% 0.66/1.08 :=( X, implies( U, implies( implies( implies( implies( W, V0 ), implies(
% 0.66/1.08 V1, V0 ) ), implies( V0, V2 ) ), implies( V3, implies( V0, V2 ) ) ) ) ),
% 0.66/1.08 :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 subsumption(
% 0.66/1.08 clause( 20, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.66/1.08 implies( implies( implies( Z, T ), Y ), Z ) ) ) ] )
% 0.66/1.08 , clause( 193, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.66/1.08 implies( implies( implies( Z, T ), Y ), Z ) ) ) ] )
% 0.66/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.66/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 resolution(
% 0.66/1.08 clause( 195, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.66/1.08 ), Z ), implies( implies( implies( Z, T ), Y ), Z ) ), U ) ) ),
% 0.66/1.08 'is_a_theorem'( U ) ] )
% 0.66/1.08 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.66/1.08 , ~( 'is_a_theorem'( X ) ) ] )
% 0.66/1.08 , 2, clause( 20, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.66/1.08 implies( implies( implies( Z, T ), Y ), Z ) ) ) ] )
% 0.66/1.08 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 0.66/1.08 implies( implies( implies( Z, T ), Y ), Z ) ) ), :=( Y, U )] ),
% 0.66/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 subsumption(
% 0.66/1.08 clause( 24, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.66/1.08 implies( implies( X, Y ), Z ), implies( implies( implies( Z, T ), Y ), Z
% 0.66/1.08 ) ), U ) ) ) ] )
% 0.66/1.08 , clause( 195, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.66/1.08 Y ), Z ), implies( implies( implies( Z, T ), Y ), Z ) ), U ) ) ),
% 0.66/1.08 'is_a_theorem'( U ) ] )
% 0.66/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.66/1.08 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 resolution(
% 0.66/1.08 clause( 196, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.66/1.08 implies( Z, implies( Y, Z ) ) ) ) ) ] )
% 0.66/1.08 , clause( 8, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.66/1.08 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.66/1.08 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.66/1.08 , 1, clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.66/1.08 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.66/1.08 ) ] )
% 0.66/1.08 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y ), :=( T, implies(
% 0.66/1.08 Y, Z ) ), :=( U, implies( Y, Z ) ), :=( W, implies( X, implies( implies(
% 0.66/1.08 Y, Z ), implies( Z, implies( Y, Z ) ) ) ) )] ), substitution( 1, [ :=( X
% 0.66/1.08 , implies( T, Z ) ), :=( Y, implies( Y, Z ) ), :=( Z, Z ), :=( T, implies(
% 0.66/1.08 Z, implies( Y, Z ) ) ), :=( U, X )] )).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 subsumption(
% 0.66/1.08 clause( 31, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.66/1.08 Z, implies( Y, Z ) ) ) ) ) ] )
% 0.66/1.08 , clause( 196, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.66/1.08 implies( Z, implies( Y, Z ) ) ) ) ) ] )
% 0.66/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.66/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 resolution(
% 0.66/1.08 clause( 197, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.66/1.08 implies( X, Y ) ) ) ) ] )
% 0.66/1.08 , clause( 8, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.66/1.08 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.66/1.08 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.66/1.08 , 1, clause( 31, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.66/1.08 implies( Z, implies( Y, Z ) ) ) ) ) ] )
% 0.66/1.08 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 0.66/1.08 :=( U, V0 ), :=( W, implies( implies( X, Y ), implies( Y, implies( X, Y )
% 0.66/1.08 ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies( implies(
% 0.66/1.08 Z, T ), implies( U, T ) ), implies( T, W ) ), implies( V0, implies( T, W
% 0.66/1.08 ) ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 subsumption(
% 0.66/1.08 clause( 33, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.66/1.08 X, Y ) ) ) ) ] )
% 0.66/1.08 , clause( 197, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.66/1.08 implies( X, Y ) ) ) ) ] )
% 0.66/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.08 )] ) ).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 resolution(
% 0.66/1.08 clause( 199, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.66/1.08 implies( Y, implies( X, Y ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.66/1.08 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.66/1.08 , ~( 'is_a_theorem'( X ) ) ] )
% 0.66/1.08 , 2, clause( 33, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.66/1.08 implies( X, Y ) ) ) ) ] )
% 0.66/1.08 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Y,
% 0.66/1.08 implies( X, Y ) ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=(
% 0.66/1.08 Y, Y )] )).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 subsumption(
% 0.66/1.08 clause( 38, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.66/1.08 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 0.66/1.08 , clause( 199, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.66/1.08 implies( Y, implies( X, Y ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.66/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.66/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 resolution(
% 0.66/1.08 clause( 200, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.66/1.08 ), Y ), implies( Z, Y ) ) ) ) ] )
% 0.66/1.08 , clause( 38, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.66/1.08 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 0.66/1.08 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.66/1.08 implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X )
% 0.66/1.08 ) ) ) ) ] )
% 0.66/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 0.66/1.08 implies( implies( Y, Z ), Y ), implies( Z, Y ) ) ) )] ), substitution( 1
% 0.66/1.08 , [ :=( X, Y ), :=( Y, Z ), :=( Z, Z ), :=( T, implies( Y, Z ) ), :=( U,
% 0.66/1.08 X )] )).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 subsumption(
% 0.66/1.08 clause( 60, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z )
% 0.66/1.08 , Y ), implies( Z, Y ) ) ) ) ] )
% 0.66/1.08 , clause( 200, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 0.66/1.08 Z ), Y ), implies( Z, Y ) ) ) ) ] )
% 0.66/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.66/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 resolution(
% 0.66/1.08 clause( 201, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.66/1.08 implies( Y, X ) ) ) ] )
% 0.66/1.08 , clause( 38, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.66/1.08 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 0.66/1.08 , 1, clause( 60, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.66/1.08 , Z ), Y ), implies( Z, Y ) ) ) ) ] )
% 0.66/1.08 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, implies( implies(
% 0.66/1.08 implies( X, Y ), X ), implies( Y, X ) ) )] ), substitution( 1, [ :=( X,
% 0.66/1.08 implies( implies( Z, T ), implies( T, implies( Z, T ) ) ) ), :=( Y, X ),
% 0.66/1.08 :=( Z, Y )] )).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 subsumption(
% 0.66/1.08 clause( 61, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.66/1.08 implies( Y, X ) ) ) ] )
% 0.66/1.08 , clause( 201, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.66/1.08 implies( Y, X ) ) ) ] )
% 0.66/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.08 )] ) ).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 resolution(
% 0.66/1.08 clause( 203, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.66/1.08 ), X ), implies( Y, X ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.66/1.08 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.66/1.08 , ~( 'is_a_theorem'( X ) ) ] )
% 0.66/1.08 , 2, clause( 61, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.66/1.08 implies( Y, X ) ) ) ] )
% 0.66/1.08 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), X ),
% 0.66/1.08 implies( Y, X ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.66/1.08 , Y )] )).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 subsumption(
% 0.66/1.08 clause( 66, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.66/1.08 implies( implies( X, Y ), X ), implies( Y, X ) ), Z ) ) ) ] )
% 0.66/1.08 , clause( 203, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.66/1.08 Y ), X ), implies( Y, X ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.66/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.66/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 resolution(
% 0.66/1.08 clause( 204, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) )
% 0.66/1.08 ) ] )
% 0.66/1.08 , clause( 66, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.66/1.08 implies( implies( X, Y ), X ), implies( Y, X ) ), Z ) ) ) ] )
% 0.66/1.08 , 1, clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.66/1.08 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.66/1.08 ) ] )
% 0.66/1.08 , 0, substitution( 0, [ :=( X, implies( Z, Y ) ), :=( Y, Y ), :=( Z,
% 0.66/1.08 implies( X, implies( Y, implies( Z, Y ) ) ) )] ), substitution( 1, [ :=(
% 0.66/1.08 X, implies( Z, Y ) ), :=( Y, Y ), :=( Z, Z ), :=( T, implies( Z, Y ) ),
% 0.66/1.08 :=( U, X )] )).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 subsumption(
% 0.66/1.08 clause( 86, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 0.66/1.08 ] )
% 0.66/1.08 , clause( 204, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) )
% 0.66/1.08 ) ) ] )
% 0.66/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.66/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 resolution(
% 0.66/1.08 clause( 205, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.66/1.08 , clause( 66, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.66/1.08 implies( implies( X, Y ), X ), implies( Y, X ) ), Z ) ) ) ] )
% 0.66/1.08 , 1, clause( 86, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 0.66/1.08 ) ) ) ] )
% 0.66/1.08 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, implies( X, implies(
% 0.66/1.08 Y, X ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies( Z, T
% 0.66/1.08 ), Z ), implies( T, Z ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 subsumption(
% 0.66/1.08 clause( 90, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.66/1.08 , clause( 205, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.66/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.08 )] ) ).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 resolution(
% 0.66/1.08 clause( 207, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) ), Z
% 0.66/1.08 ) ) ), 'is_a_theorem'( Z ) ] )
% 0.66/1.08 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.66/1.08 , ~( 'is_a_theorem'( X ) ) ] )
% 0.66/1.08 , 2, clause( 90, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.66/1.08 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 0.66/1.08 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 subsumption(
% 0.66/1.08 clause( 93, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.66/1.08 implies( Y, X ) ), Z ) ) ) ] )
% 0.66/1.08 , clause( 207, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 0.66/1.08 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.66/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.66/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 resolution(
% 0.66/1.08 clause( 208, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.66/1.08 ), Y ), implies( T, Y ) ) ) ) ] )
% 0.66/1.08 , clause( 93, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.66/1.08 , implies( Y, X ) ), Z ) ) ) ] )
% 0.66/1.08 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.66/1.08 implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X )
% 0.66/1.08 ) ) ) ) ] )
% 0.66/1.08 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, T ), :=( Z,
% 0.66/1.08 implies( X, implies( implies( implies( Y, Z ), Y ), implies( T, Y ) ) ) )] )
% 0.66/1.08 , substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.66/1.08 Y, Z ) ), :=( U, X )] )).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 subsumption(
% 0.66/1.08 clause( 107, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.66/1.08 ), Y ), implies( T, Y ) ) ) ) ] )
% 0.66/1.08 , clause( 208, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 0.66/1.08 Z ), Y ), implies( T, Y ) ) ) ) ] )
% 0.66/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.66/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 resolution(
% 0.66/1.08 clause( 209, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.66/1.08 implies( Z, X ) ) ) ] )
% 0.66/1.08 , clause( 93, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.66/1.08 , implies( Y, X ) ), Z ) ) ) ] )
% 0.66/1.08 , 1, clause( 107, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.66/1.08 Y, Z ), Y ), implies( T, Y ) ) ) ) ] )
% 0.66/1.08 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, implies( implies(
% 0.66/1.08 implies( X, Y ), X ), implies( Z, X ) ) )] ), substitution( 1, [ :=( X,
% 0.66/1.08 implies( T, implies( U, T ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.66/1.08 ).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 subsumption(
% 0.66/1.08 clause( 127, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.66/1.08 implies( Z, X ) ) ) ] )
% 0.66/1.08 , clause( 209, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.66/1.08 implies( Z, X ) ) ) ] )
% 0.66/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.66/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 resolution(
% 0.66/1.08 clause( 210, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.66/1.08 ), Y ), Y ) ) ) ] )
% 0.66/1.08 , clause( 24, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.66/1.08 implies( implies( X, Y ), Z ), implies( implies( implies( Z, T ), Y ), Z
% 0.66/1.08 ) ), U ) ) ) ] )
% 0.66/1.08 , 1, clause( 127, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X )
% 0.66/1.08 , implies( Z, X ) ) ) ] )
% 0.66/1.08 , 0, substitution( 0, [ :=( X, implies( implies( Y, Z ), Y ) ), :=( Y, Y )
% 0.66/1.08 , :=( Z, Y ), :=( T, Z ), :=( U, implies( X, implies( implies( implies( Y
% 0.66/1.08 , Z ), Y ), Y ) ) )] ), substitution( 1, [ :=( X, implies( implies(
% 0.66/1.08 implies( Y, Z ), Y ), Y ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 subsumption(
% 0.66/1.08 clause( 165, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.66/1.08 ), Y ), Y ) ) ) ] )
% 0.66/1.08 , clause( 210, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 0.66/1.08 Z ), Y ), Y ) ) ) ] )
% 0.66/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.66/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 resolution(
% 0.66/1.08 clause( 211, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X )
% 0.66/1.08 ) ] )
% 0.66/1.08 , clause( 24, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.66/1.08 implies( implies( X, Y ), Z ), implies( implies( implies( Z, T ), Y ), Z
% 0.66/1.08 ) ), U ) ) ) ] )
% 0.66/1.08 , 1, clause( 165, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.66/1.08 Y, Z ), Y ), Y ) ) ) ] )
% 0.66/1.08 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 0.66/1.08 :=( U, implies( implies( implies( X, Y ), X ), X ) )] ), substitution( 1
% 0.66/1.08 , [ :=( X, implies( implies( implies( Z, T ), U ), implies( implies(
% 0.66/1.08 implies( U, W ), T ), U ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 subsumption(
% 0.66/1.08 clause( 172, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X )
% 0.66/1.08 ) ] )
% 0.66/1.08 , clause( 211, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X
% 0.66/1.08 ) ) ] )
% 0.66/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.08 )] ) ).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 resolution(
% 0.66/1.08 clause( 212, [] )
% 0.66/1.08 , clause( 2, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a ), a
% 0.66/1.08 ) ) ) ] )
% 0.66/1.08 , 0, clause( 172, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X )
% 0.66/1.08 , X ) ) ] )
% 0.66/1.08 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.66/1.08 ).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 subsumption(
% 0.66/1.08 clause( 175, [] )
% 0.66/1.08 , clause( 212, [] )
% 0.66/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 end.
% 0.66/1.08
% 0.66/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.66/1.08
% 0.66/1.08 Memory use:
% 0.66/1.08
% 0.66/1.08 space for terms: 3303
% 0.66/1.08 space for clauses: 21298
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 clauses generated: 617
% 0.66/1.08 clauses kept: 176
% 0.66/1.08 clauses selected: 62
% 0.66/1.08 clauses deleted: 6
% 0.66/1.08 clauses inuse deleted: 0
% 0.66/1.08
% 0.66/1.08 subsentry: 516
% 0.66/1.08 literals s-matched: 447
% 0.66/1.08 literals matched: 447
% 0.66/1.08 full subsumption: 0
% 0.66/1.08
% 0.66/1.08 checksum: 1805050337
% 0.66/1.08
% 0.66/1.08
% 0.66/1.08 Bliksem ended
%------------------------------------------------------------------------------