TSTP Solution File: LCL123-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL123-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 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 07:50:40 EDT 2022
% Result : Unsatisfiable 0.43s 1.17s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL123-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.10/0.13 % 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 : Sat Jul 2 14:14:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.17 *** allocated 10000 integers for termspace/termends
% 0.43/1.17 *** allocated 10000 integers for clauses
% 0.43/1.17 *** allocated 10000 integers for justifications
% 0.43/1.17 Bliksem 1.12
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 Automatic Strategy Selection
% 0.43/1.17
% 0.43/1.17 Clauses:
% 0.43/1.17 [
% 0.43/1.17 [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.43/1.17 'is_a_theorem'( Y ) ],
% 0.43/1.17 [ 'is_a_theorem'( equivalent( X, equivalent( X, equivalent( equivalent(
% 0.43/1.17 Y, Z ), equivalent( equivalent( Y, T ), equivalent( Z, T ) ) ) ) ) ) ]
% 0.43/1.17 ,
% 0.43/1.17 [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( a, equivalent(
% 0.43/1.17 b, c ) ), equivalent( e, equivalent( b, f ) ) ), equivalent( a,
% 0.43/1.17 equivalent( e, equivalent( c, f ) ) ) ) ) ) ]
% 0.43/1.17 ] .
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 percentage equality = 0.000000, percentage horn = 1.000000
% 0.43/1.17 This is a near-Horn, non-equality problem
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 Options Used:
% 0.43/1.17
% 0.43/1.17 useres = 1
% 0.43/1.17 useparamod = 0
% 0.43/1.17 useeqrefl = 0
% 0.43/1.17 useeqfact = 0
% 0.43/1.17 usefactor = 1
% 0.43/1.17 usesimpsplitting = 0
% 0.43/1.17 usesimpdemod = 0
% 0.43/1.17 usesimpres = 4
% 0.43/1.17
% 0.43/1.17 resimpinuse = 1000
% 0.43/1.17 resimpclauses = 20000
% 0.43/1.17 substype = standard
% 0.43/1.17 backwardsubs = 1
% 0.43/1.17 selectoldest = 5
% 0.43/1.17
% 0.43/1.17 litorderings [0] = split
% 0.43/1.17 litorderings [1] = liftord
% 0.43/1.17
% 0.43/1.17 termordering = none
% 0.43/1.17
% 0.43/1.17 litapriori = 1
% 0.43/1.17 termapriori = 0
% 0.43/1.17 litaposteriori = 0
% 0.43/1.17 termaposteriori = 0
% 0.43/1.17 demodaposteriori = 0
% 0.43/1.17 ordereqreflfact = 0
% 0.43/1.17
% 0.43/1.17 litselect = negative
% 0.43/1.17
% 0.43/1.17 maxweight = 30000
% 0.43/1.17 maxdepth = 30000
% 0.43/1.17 maxlength = 115
% 0.43/1.17 maxnrvars = 195
% 0.43/1.17 excuselevel = 0
% 0.43/1.17 increasemaxweight = 0
% 0.43/1.17
% 0.43/1.17 maxselected = 10000000
% 0.43/1.17 maxnrclauses = 10000000
% 0.43/1.17
% 0.43/1.17 showgenerated = 0
% 0.43/1.17 showkept = 0
% 0.43/1.17 showselected = 0
% 0.43/1.17 showdeleted = 0
% 0.43/1.17 showresimp = 1
% 0.43/1.17 showstatus = 2000
% 0.43/1.17
% 0.43/1.17 prologoutput = 1
% 0.43/1.17 nrgoals = 5000000
% 0.43/1.17 totalproof = 1
% 0.43/1.17
% 0.43/1.17 Symbols occurring in the translation:
% 0.43/1.17
% 0.43/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.17 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.43/1.17 ! [4, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.43/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.17 equivalent [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.43/1.17 'is_a_theorem' [42, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.43/1.17 a [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.43/1.17 b [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.43/1.17 c [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.43/1.17 e [48, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.43/1.17 f [49, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 Starting Search:
% 0.43/1.17
% 0.43/1.17 Resimplifying inuse:
% 0.43/1.17 Done
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 Intermediate Status:
% 0.43/1.17 Generated: 4666
% 0.43/1.17 Kept: 2004
% 0.43/1.17 Inuse: 275
% 0.43/1.17 Deleted: 5
% 0.43/1.17 Deletedinuse: 2
% 0.43/1.17
% 0.43/1.17 Resimplifying inuse:
% 0.43/1.17 Done
% 0.43/1.17
% 0.43/1.17 Resimplifying inuse:
% 0.43/1.17
% 0.43/1.17 Bliksems!, er is een bewijs:
% 0.43/1.17 % SZS status Unsatisfiable
% 0.43/1.17 % SZS output start Refutation
% 0.43/1.17
% 0.43/1.17 clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.43/1.17 , ~( 'is_a_theorem'( X ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 1, [ 'is_a_theorem'( equivalent( X, equivalent( X, equivalent(
% 0.43/1.17 equivalent( Y, Z ), equivalent( equivalent( Y, T ), equivalent( Z, T ) )
% 0.43/1.17 ) ) ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 2, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( a,
% 0.43/1.17 equivalent( b, c ) ), equivalent( e, equivalent( b, f ) ) ), equivalent(
% 0.43/1.17 a, equivalent( e, equivalent( c, f ) ) ) ) ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent( equivalent(
% 0.43/1.17 X, equivalent( X, equivalent( equivalent( Y, Z ), equivalent( equivalent(
% 0.43/1.17 Y, T ), equivalent( Z, T ) ) ) ) ), U ) ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 4, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( X,
% 0.43/1.17 equivalent( equivalent( Y, Z ), equivalent( equivalent( Y, T ),
% 0.43/1.17 equivalent( Z, T ) ) ) ) ), equivalent( equivalent( U, W ), equivalent(
% 0.43/1.17 equivalent( U, V0 ), equivalent( W, V0 ) ) ) ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 5, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), equivalent(
% 0.43/1.17 equivalent( X, Z ), equivalent( Y, Z ) ) ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 6, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.17 equivalent( equivalent( X, equivalent( X, equivalent( equivalent( Y, Z )
% 0.43/1.17 , equivalent( equivalent( Y, T ), equivalent( Z, T ) ) ) ) ), equivalent(
% 0.43/1.17 equivalent( U, W ), equivalent( equivalent( U, V0 ), equivalent( W, V0 )
% 0.43/1.17 ) ) ), V1 ) ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( equivalent(
% 0.43/1.17 equivalent( X, Y ), equivalent( equivalent( X, Z ), equivalent( Y, Z ) )
% 0.43/1.17 ), T ) ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 9, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ), Z
% 0.43/1.17 ), equivalent( equivalent( equivalent( X, T ), equivalent( Y, T ) ), Z )
% 0.43/1.17 ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 11, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ),
% 0.43/1.17 equivalent( Z, Y ) ), equivalent( equivalent( X, T ), equivalent( Z, T )
% 0.43/1.17 ) ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 14, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.17 equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y ) ),
% 0.43/1.17 equivalent( equivalent( X, T ), equivalent( Z, T ) ) ), U ) ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 19, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.43/1.17 equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), U ), equivalent(
% 0.43/1.17 equivalent( X, equivalent( Y, T ) ), U ) ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 23, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, Z )
% 0.43/1.17 ), equivalent( equivalent( X, T ), equivalent( equivalent( equivalent( Y
% 0.43/1.17 , U ), equivalent( Z, U ) ), T ) ) ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 27, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ), Z
% 0.43/1.17 ), equivalent( equivalent( equivalent( equivalent( X, T ), U ),
% 0.43/1.17 equivalent( equivalent( Y, T ), U ) ), Z ) ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 31, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.43/1.17 equivalent( X, Y ), Z ), equivalent( equivalent( T, Y ), Z ) ),
% 0.43/1.17 equivalent( equivalent( X, U ), equivalent( T, U ) ) ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 36, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), equivalent( X
% 0.43/1.17 , Y ) ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 43, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.17 equivalent( equivalent( X, Y ), equivalent( X, Y ) ), Z ) ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 45, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, Z )
% 0.43/1.17 ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T ) ) )
% 0.43/1.17 ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 47, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ),
% 0.43/1.17 equivalent( Z, Y ) ), equivalent( X, Z ) ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 51, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.17 equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y ) ),
% 0.43/1.17 equivalent( X, Z ) ), T ) ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 70, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ),
% 0.43/1.17 equivalent( Z, Y ) ), equivalent( equivalent( equivalent( X, T ), U ),
% 0.43/1.17 equivalent( equivalent( Z, T ), U ) ) ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 84, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.43/1.17 equivalent( Y, Z ) ), equivalent( T, Y ) ), equivalent( X, equivalent( T
% 0.43/1.17 , Z ) ) ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 89, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.17 equivalent( equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent(
% 0.43/1.17 T, Y ) ), equivalent( X, equivalent( T, Z ) ) ), U ) ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 101, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.43/1.17 equivalent( X, equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), U
% 0.43/1.17 ), W ), equivalent( equivalent( equivalent( X, equivalent( Y, T ) ), U )
% 0.43/1.17 , W ) ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 2876, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.43/1.17 equivalent( Y, Z ) ), equivalent( T, equivalent( Y, U ) ) ), equivalent(
% 0.43/1.17 X, equivalent( T, equivalent( Z, U ) ) ) ) ) ] )
% 0.43/1.17 .
% 0.43/1.17 clause( 3116, [] )
% 0.43/1.17 .
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 % SZS output end Refutation
% 0.43/1.17 found a proof!
% 0.43/1.17
% 0.43/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.17
% 0.43/1.17 initialclauses(
% 0.43/1.17 [ clause( 3118, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), ~(
% 0.43/1.17 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 0.43/1.17 , clause( 3119, [ 'is_a_theorem'( equivalent( X, equivalent( X, equivalent(
% 0.43/1.17 equivalent( Y, Z ), equivalent( equivalent( Y, T ), equivalent( Z, T ) )
% 0.43/1.17 ) ) ) ) ] )
% 0.43/1.17 , clause( 3120, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( a
% 0.43/1.17 , equivalent( b, c ) ), equivalent( e, equivalent( b, f ) ) ), equivalent(
% 0.43/1.17 a, equivalent( e, equivalent( c, f ) ) ) ) ) ) ] )
% 0.43/1.17 ] ).
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 subsumption(
% 0.43/1.17 clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.43/1.17 , ~( 'is_a_theorem'( X ) ) ] )
% 0.43/1.17 , clause( 3118, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), ~(
% 0.43/1.17 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 0.43/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.17 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 subsumption(
% 0.43/1.17 clause( 1, [ 'is_a_theorem'( equivalent( X, equivalent( X, equivalent(
% 0.43/1.17 equivalent( Y, Z ), equivalent( equivalent( Y, T ), equivalent( Z, T ) )
% 0.43/1.17 ) ) ) ) ] )
% 0.43/1.17 , clause( 3119, [ 'is_a_theorem'( equivalent( X, equivalent( X, equivalent(
% 0.43/1.17 equivalent( Y, Z ), equivalent( equivalent( Y, T ), equivalent( Z, T ) )
% 0.43/1.17 ) ) ) ) ] )
% 0.43/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 subsumption(
% 0.43/1.17 clause( 2, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( a,
% 0.43/1.17 equivalent( b, c ) ), equivalent( e, equivalent( b, f ) ) ), equivalent(
% 0.43/1.17 a, equivalent( e, equivalent( c, f ) ) ) ) ) ) ] )
% 0.43/1.17 , clause( 3120, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( a
% 0.43/1.17 , equivalent( b, c ) ), equivalent( e, equivalent( b, f ) ) ), equivalent(
% 0.43/1.17 a, equivalent( e, equivalent( c, f ) ) ) ) ) ) ] )
% 0.43/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 resolution(
% 0.43/1.17 clause( 3122, [ ~( 'is_a_theorem'( equivalent( equivalent( X, equivalent( X
% 0.43/1.17 , equivalent( equivalent( Y, Z ), equivalent( equivalent( Y, T ),
% 0.43/1.17 equivalent( Z, T ) ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.43/1.17 , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 0.43/1.17 ), ~( 'is_a_theorem'( X ) ) ] )
% 0.43/1.17 , 2, clause( 1, [ 'is_a_theorem'( equivalent( X, equivalent( X, equivalent(
% 0.43/1.17 equivalent( Y, Z ), equivalent( equivalent( Y, T ), equivalent( Z, T ) )
% 0.43/1.17 ) ) ) ) ] )
% 0.43/1.17 , 0, substitution( 0, [ :=( X, equivalent( X, equivalent( X, equivalent(
% 0.43/1.17 equivalent( Y, Z ), equivalent( equivalent( Y, T ), equivalent( Z, T ) )
% 0.43/1.17 ) ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z
% 0.43/1.17 , Z ), :=( T, T )] )).
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 subsumption(
% 0.43/1.17 clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent( equivalent(
% 0.43/1.17 X, equivalent( X, equivalent( equivalent( Y, Z ), equivalent( equivalent(
% 0.43/1.17 Y, T ), equivalent( Z, T ) ) ) ) ), U ) ) ) ] )
% 0.43/1.17 , clause( 3122, [ ~( 'is_a_theorem'( equivalent( equivalent( X, equivalent(
% 0.43/1.17 X, equivalent( equivalent( Y, Z ), equivalent( equivalent( Y, T ),
% 0.43/1.17 equivalent( Z, T ) ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.43/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.43/1.17 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 resolution(
% 0.43/1.17 clause( 3123, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( X,
% 0.43/1.17 equivalent( equivalent( Y, Z ), equivalent( equivalent( Y, T ),
% 0.43/1.17 equivalent( Z, T ) ) ) ) ), equivalent( equivalent( U, W ), equivalent(
% 0.43/1.17 equivalent( U, V0 ), equivalent( W, V0 ) ) ) ) ) ] )
% 0.43/1.17 , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.17 equivalent( X, equivalent( X, equivalent( equivalent( Y, Z ), equivalent(
% 0.43/1.17 equivalent( Y, T ), equivalent( Z, T ) ) ) ) ), U ) ) ) ] )
% 0.43/1.17 , 1, clause( 1, [ 'is_a_theorem'( equivalent( X, equivalent( X, equivalent(
% 0.43/1.17 equivalent( Y, Z ), equivalent( equivalent( Y, T ), equivalent( Z, T ) )
% 0.43/1.17 ) ) ) ) ] )
% 0.43/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.43/1.17 :=( U, equivalent( equivalent( X, equivalent( X, equivalent( equivalent(
% 0.43/1.17 Y, Z ), equivalent( equivalent( Y, T ), equivalent( Z, T ) ) ) ) ),
% 0.43/1.17 equivalent( equivalent( U, W ), equivalent( equivalent( U, V0 ),
% 0.43/1.17 equivalent( W, V0 ) ) ) ) )] ), substitution( 1, [ :=( X, equivalent( X,
% 0.43/1.17 equivalent( X, equivalent( equivalent( Y, Z ), equivalent( equivalent( Y
% 0.43/1.17 , T ), equivalent( Z, T ) ) ) ) ) ), :=( Y, U ), :=( Z, W ), :=( T, V0 )] )
% 0.43/1.17 ).
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 subsumption(
% 0.43/1.17 clause( 4, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( X,
% 0.43/1.17 equivalent( equivalent( Y, Z ), equivalent( equivalent( Y, T ),
% 0.43/1.17 equivalent( Z, T ) ) ) ) ), equivalent( equivalent( U, W ), equivalent(
% 0.43/1.17 equivalent( U, V0 ), equivalent( W, V0 ) ) ) ) ) ] )
% 0.43/1.17 , clause( 3123, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( X
% 0.43/1.17 , equivalent( equivalent( Y, Z ), equivalent( equivalent( Y, T ),
% 0.43/1.17 equivalent( Z, T ) ) ) ) ), equivalent( equivalent( U, W ), equivalent(
% 0.43/1.17 equivalent( U, V0 ), equivalent( W, V0 ) ) ) ) ) ] )
% 0.43/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.43/1.17 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 0.43/1.17 ).
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 resolution(
% 0.43/1.17 clause( 3124, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), equivalent(
% 0.43/1.17 equivalent( X, Z ), equivalent( Y, Z ) ) ) ) ] )
% 0.43/1.17 , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.17 equivalent( X, equivalent( X, equivalent( equivalent( Y, Z ), equivalent(
% 0.43/1.17 equivalent( Y, T ), equivalent( Z, T ) ) ) ) ), U ) ) ) ] )
% 0.43/1.17 , 1, clause( 4, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( X
% 0.43/1.17 , equivalent( equivalent( Y, Z ), equivalent( equivalent( Y, T ),
% 0.43/1.17 equivalent( Z, T ) ) ) ) ), equivalent( equivalent( U, W ), equivalent(
% 0.43/1.17 equivalent( U, V0 ), equivalent( W, V0 ) ) ) ) ) ] )
% 0.43/1.17 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, V0 ),
% 0.43/1.17 :=( U, equivalent( equivalent( X, Y ), equivalent( equivalent( X, Z ),
% 0.43/1.17 equivalent( Y, Z ) ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, U ),
% 0.43/1.17 :=( Z, W ), :=( T, V0 ), :=( U, X ), :=( W, Y ), :=( V0, Z )] )).
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 subsumption(
% 0.43/1.17 clause( 5, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), equivalent(
% 0.43/1.17 equivalent( X, Z ), equivalent( Y, Z ) ) ) ) ] )
% 0.43/1.17 , clause( 3124, [ 'is_a_theorem'( equivalent( equivalent( X, Y ),
% 0.43/1.17 equivalent( equivalent( X, Z ), equivalent( Y, Z ) ) ) ) ] )
% 0.43/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 resolution(
% 0.43/1.17 clause( 3126, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.43/1.17 equivalent( X, equivalent( equivalent( Y, Z ), equivalent( equivalent( Y
% 0.43/1.17 , T ), equivalent( Z, T ) ) ) ) ), equivalent( equivalent( U, W ),
% 0.43/1.17 equivalent( equivalent( U, V0 ), equivalent( W, V0 ) ) ) ), V1 ) ) ),
% 0.43/1.17 'is_a_theorem'( V1 ) ] )
% 0.43/1.17 , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 0.43/1.17 ), ~( 'is_a_theorem'( X ) ) ] )
% 0.43/1.17 , 2, clause( 4, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( X
% 0.43/1.17 , equivalent( equivalent( Y, Z ), equivalent( equivalent( Y, T ),
% 0.43/1.17 equivalent( Z, T ) ) ) ) ), equivalent( equivalent( U, W ), equivalent(
% 0.43/1.17 equivalent( U, V0 ), equivalent( W, V0 ) ) ) ) ) ] )
% 0.43/1.17 , 0, substitution( 0, [ :=( X, equivalent( equivalent( X, equivalent( X,
% 0.43/1.17 equivalent( equivalent( Y, Z ), equivalent( equivalent( Y, T ),
% 0.43/1.17 equivalent( Z, T ) ) ) ) ), equivalent( equivalent( U, W ), equivalent(
% 0.43/1.17 equivalent( U, V0 ), equivalent( W, V0 ) ) ) ) ), :=( Y, V1 )] ),
% 0.43/1.17 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.43/1.17 , U ), :=( W, W ), :=( V0, V0 )] )).
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 subsumption(
% 0.43/1.17 clause( 6, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.17 equivalent( equivalent( X, equivalent( X, equivalent( equivalent( Y, Z )
% 0.43/1.17 , equivalent( equivalent( Y, T ), equivalent( Z, T ) ) ) ) ), equivalent(
% 0.43/1.17 equivalent( U, W ), equivalent( equivalent( U, V0 ), equivalent( W, V0 )
% 0.43/1.17 ) ) ), V1 ) ) ) ] )
% 0.43/1.17 , clause( 3126, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X
% 0.43/1.17 , equivalent( X, equivalent( equivalent( Y, Z ), equivalent( equivalent(
% 0.43/1.17 Y, T ), equivalent( Z, T ) ) ) ) ), equivalent( equivalent( U, W ),
% 0.43/1.17 equivalent( equivalent( U, V0 ), equivalent( W, V0 ) ) ) ), V1 ) ) ),
% 0.43/1.17 'is_a_theorem'( V1 ) ] )
% 0.43/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.43/1.17 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 0.43/1.17 0, 1 ), ==>( 1, 0 )] ) ).
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 resolution(
% 0.43/1.17 clause( 3128, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.43/1.17 ), equivalent( equivalent( X, Z ), equivalent( Y, Z ) ) ), T ) ) ),
% 0.43/1.17 'is_a_theorem'( T ) ] )
% 0.43/1.17 , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 0.43/1.17 ), ~( 'is_a_theorem'( X ) ) ] )
% 0.43/1.17 , 2, clause( 5, [ 'is_a_theorem'( equivalent( equivalent( X, Y ),
% 0.43/1.17 equivalent( equivalent( X, Z ), equivalent( Y, Z ) ) ) ) ] )
% 0.43/1.17 , 0, substitution( 0, [ :=( X, equivalent( equivalent( X, Y ), equivalent(
% 0.43/1.17 equivalent( X, Z ), equivalent( Y, Z ) ) ) ), :=( Y, T )] ),
% 0.43/1.17 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 subsumption(
% 0.43/1.17 clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( equivalent(
% 0.43/1.17 equivalent( X, Y ), equivalent( equivalent( X, Z ), equivalent( Y, Z ) )
% 0.43/1.17 ), T ) ) ) ] )
% 0.43/1.17 , clause( 3128, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X
% 0.43/1.17 , Y ), equivalent( equivalent( X, Z ), equivalent( Y, Z ) ) ), T ) ) ),
% 0.43/1.17 'is_a_theorem'( T ) ] )
% 0.43/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.17 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 resolution(
% 0.43/1.17 clause( 3129, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y )
% 0.43/1.17 , Z ), equivalent( equivalent( equivalent( X, T ), equivalent( Y, T ) ),
% 0.43/1.17 Z ) ) ) ] )
% 0.43/1.17 , clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.17 equivalent( equivalent( X, Y ), equivalent( equivalent( X, Z ),
% 0.43/1.17 equivalent( Y, Z ) ) ), T ) ) ) ] )
% 0.43/1.17 , 1, clause( 5, [ 'is_a_theorem'( equivalent( equivalent( X, Y ),
% 0.43/1.17 equivalent( equivalent( X, Z ), equivalent( Y, Z ) ) ) ) ] )
% 0.43/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T,
% 0.43/1.17 equivalent( equivalent( equivalent( X, Y ), Z ), equivalent( equivalent(
% 0.43/1.17 equivalent( X, T ), equivalent( Y, T ) ), Z ) ) )] ), substitution( 1, [
% 0.43/1.17 :=( X, equivalent( X, Y ) ), :=( Y, equivalent( equivalent( X, T ),
% 0.43/1.17 equivalent( Y, T ) ) ), :=( Z, Z )] )).
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 subsumption(
% 0.43/1.17 clause( 9, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ), Z
% 0.43/1.17 ), equivalent( equivalent( equivalent( X, T ), equivalent( Y, T ) ), Z )
% 0.43/1.17 ) ) ] )
% 0.43/1.17 , clause( 3129, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.43/1.17 ), Z ), equivalent( equivalent( equivalent( X, T ), equivalent( Y, T ) )
% 0.43/1.17 , Z ) ) ) ] )
% 0.43/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 resolution(
% 0.43/1.17 clause( 3130, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y )
% 0.43/1.17 , equivalent( Z, Y ) ), equivalent( equivalent( X, T ), equivalent( Z, T
% 0.43/1.17 ) ) ) ) ] )
% 0.43/1.17 , clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.17 equivalent( equivalent( X, Y ), equivalent( equivalent( X, Z ),
% 0.43/1.17 equivalent( Y, Z ) ) ), T ) ) ) ] )
% 0.43/1.17 , 1, clause( 9, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.43/1.17 ), Z ), equivalent( equivalent( equivalent( X, T ), equivalent( Y, T ) )
% 0.43/1.17 , Z ) ) ) ] )
% 0.43/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T,
% 0.43/1.17 equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y ) ),
% 0.43/1.17 equivalent( equivalent( X, T ), equivalent( Z, T ) ) ) )] ),
% 0.43/1.17 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, equivalent( equivalent(
% 0.43/1.17 X, T ), equivalent( Z, T ) ) ), :=( T, Y )] )).
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 subsumption(
% 0.43/1.17 clause( 11, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ),
% 0.43/1.17 equivalent( Z, Y ) ), equivalent( equivalent( X, T ), equivalent( Z, T )
% 0.43/1.17 ) ) ) ] )
% 0.43/1.17 , clause( 3130, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.43/1.17 ), equivalent( Z, Y ) ), equivalent( equivalent( X, T ), equivalent( Z,
% 0.43/1.17 T ) ) ) ) ] )
% 0.43/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 resolution(
% 0.43/1.17 clause( 3132, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.43/1.17 equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( equivalent( X, T )
% 0.43/1.17 , equivalent( Z, T ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.43/1.17 , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 0.43/1.17 ), ~( 'is_a_theorem'( X ) ) ] )
% 0.43/1.17 , 2, clause( 11, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.43/1.17 ), equivalent( Z, Y ) ), equivalent( equivalent( X, T ), equivalent( Z,
% 0.43/1.17 T ) ) ) ) ] )
% 0.43/1.17 , 0, substitution( 0, [ :=( X, equivalent( equivalent( equivalent( X, Y ),
% 0.43/1.17 equivalent( Z, Y ) ), equivalent( equivalent( X, T ), equivalent( Z, T )
% 0.43/1.17 ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 0.43/1.17 Z ), :=( T, T )] )).
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 subsumption(
% 0.43/1.17 clause( 14, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.17 equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y ) ),
% 0.43/1.17 equivalent( equivalent( X, T ), equivalent( Z, T ) ) ), U ) ) ) ] )
% 0.43/1.17 , clause( 3132, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.43/1.17 equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( equivalent( X, T )
% 0.43/1.17 , equivalent( Z, T ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.43/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.43/1.18 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 resolution(
% 0.43/1.18 clause( 3133, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.43/1.18 equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), U ), equivalent(
% 0.43/1.18 equivalent( X, equivalent( Y, T ) ), U ) ) ) ] )
% 0.43/1.18 , clause( 6, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.18 equivalent( equivalent( X, equivalent( X, equivalent( equivalent( Y, Z )
% 0.43/1.18 , equivalent( equivalent( Y, T ), equivalent( Z, T ) ) ) ) ), equivalent(
% 0.43/1.18 equivalent( U, W ), equivalent( equivalent( U, V0 ), equivalent( W, V0 )
% 0.43/1.18 ) ) ), V1 ) ) ) ] )
% 0.43/1.18 , 1, clause( 11, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.43/1.18 ), equivalent( Z, Y ) ), equivalent( equivalent( X, T ), equivalent( Z,
% 0.43/1.18 T ) ) ) ) ] )
% 0.43/1.18 , 0, substitution( 0, [ :=( X, equivalent( X, equivalent( equivalent( Y, Z
% 0.43/1.18 ), equivalent( T, Z ) ) ) ), :=( Y, Y ), :=( Z, T ), :=( T, Z ), :=( U,
% 0.43/1.18 X ), :=( W, equivalent( Y, T ) ), :=( V0, equivalent( equivalent( Y, Z )
% 0.43/1.18 , equivalent( T, Z ) ) ), :=( V1, equivalent( equivalent( equivalent( X,
% 0.43/1.18 equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), U ), equivalent(
% 0.43/1.18 equivalent( X, equivalent( Y, T ) ), U ) ) )] ), substitution( 1, [ :=( X
% 0.43/1.18 , equivalent( X, equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ) )
% 0.43/1.18 , :=( Y, equivalent( equivalent( X, equivalent( equivalent( Y, Z ),
% 0.43/1.18 equivalent( T, Z ) ) ), equivalent( equivalent( Y, T ), equivalent(
% 0.43/1.18 equivalent( Y, Z ), equivalent( T, Z ) ) ) ) ), :=( Z, equivalent( X,
% 0.43/1.18 equivalent( Y, T ) ) ), :=( T, U )] )).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 subsumption(
% 0.43/1.18 clause( 19, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.43/1.18 equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), U ), equivalent(
% 0.43/1.18 equivalent( X, equivalent( Y, T ) ), U ) ) ) ] )
% 0.43/1.18 , clause( 3133, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.43/1.18 equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), U ), equivalent(
% 0.43/1.18 equivalent( X, equivalent( Y, T ) ), U ) ) ) ] )
% 0.43/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.43/1.18 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 resolution(
% 0.43/1.18 clause( 3134, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, Z
% 0.43/1.18 ) ), equivalent( equivalent( X, T ), equivalent( equivalent( equivalent(
% 0.43/1.18 Y, U ), equivalent( Z, U ) ), T ) ) ) ) ] )
% 0.43/1.18 , clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.18 equivalent( equivalent( X, Y ), equivalent( equivalent( X, Z ),
% 0.43/1.18 equivalent( Y, Z ) ) ), T ) ) ) ] )
% 0.43/1.18 , 1, clause( 19, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.43/1.18 equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), U ), equivalent(
% 0.43/1.18 equivalent( X, equivalent( Y, T ) ), U ) ) ) ] )
% 0.43/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, equivalent( equivalent( Y, U ),
% 0.43/1.18 equivalent( Z, U ) ) ), :=( Z, T ), :=( T, equivalent( equivalent( X,
% 0.43/1.18 equivalent( Y, Z ) ), equivalent( equivalent( X, T ), equivalent(
% 0.43/1.18 equivalent( equivalent( Y, U ), equivalent( Z, U ) ), T ) ) ) )] ),
% 0.43/1.18 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, U ), :=( T, Z ), :=( U
% 0.43/1.18 , equivalent( equivalent( X, T ), equivalent( equivalent( equivalent( Y,
% 0.43/1.18 U ), equivalent( Z, U ) ), T ) ) )] )).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 subsumption(
% 0.43/1.18 clause( 23, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, Z )
% 0.43/1.18 ), equivalent( equivalent( X, T ), equivalent( equivalent( equivalent( Y
% 0.43/1.18 , U ), equivalent( Z, U ) ), T ) ) ) ) ] )
% 0.43/1.18 , clause( 3134, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y
% 0.43/1.18 , Z ) ), equivalent( equivalent( X, T ), equivalent( equivalent(
% 0.43/1.18 equivalent( Y, U ), equivalent( Z, U ) ), T ) ) ) ) ] )
% 0.43/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.43/1.18 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 resolution(
% 0.43/1.18 clause( 3135, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y )
% 0.43/1.18 , Z ), equivalent( equivalent( equivalent( equivalent( X, T ), U ),
% 0.43/1.18 equivalent( equivalent( Y, T ), U ) ), Z ) ) ) ] )
% 0.43/1.18 , clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.18 equivalent( equivalent( X, Y ), equivalent( equivalent( X, Z ),
% 0.43/1.18 equivalent( Y, Z ) ) ), T ) ) ) ] )
% 0.43/1.18 , 1, clause( 23, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y
% 0.43/1.18 , Z ) ), equivalent( equivalent( X, T ), equivalent( equivalent(
% 0.43/1.18 equivalent( Y, U ), equivalent( Z, U ) ), T ) ) ) ) ] )
% 0.43/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T,
% 0.43/1.18 equivalent( equivalent( equivalent( X, Y ), Z ), equivalent( equivalent(
% 0.43/1.18 equivalent( equivalent( X, T ), U ), equivalent( equivalent( Y, T ), U )
% 0.43/1.18 ), Z ) ) )] ), substitution( 1, [ :=( X, equivalent( X, Y ) ), :=( Y,
% 0.43/1.18 equivalent( X, T ) ), :=( Z, equivalent( Y, T ) ), :=( T, Z ), :=( U, U )] )
% 0.43/1.18 ).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 subsumption(
% 0.43/1.18 clause( 27, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ), Z
% 0.43/1.18 ), equivalent( equivalent( equivalent( equivalent( X, T ), U ),
% 0.43/1.18 equivalent( equivalent( Y, T ), U ) ), Z ) ) ) ] )
% 0.43/1.18 , clause( 3135, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.43/1.18 ), Z ), equivalent( equivalent( equivalent( equivalent( X, T ), U ),
% 0.43/1.18 equivalent( equivalent( Y, T ), U ) ), Z ) ) ) ] )
% 0.43/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.43/1.18 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 resolution(
% 0.43/1.18 clause( 3136, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.43/1.18 equivalent( X, Y ), Z ), equivalent( equivalent( T, Y ), Z ) ),
% 0.43/1.18 equivalent( equivalent( X, U ), equivalent( T, U ) ) ) ) ] )
% 0.43/1.18 , clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.18 equivalent( equivalent( X, Y ), equivalent( equivalent( X, Z ),
% 0.43/1.18 equivalent( Y, Z ) ) ), T ) ) ) ] )
% 0.43/1.18 , 1, clause( 27, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.43/1.18 ), Z ), equivalent( equivalent( equivalent( equivalent( X, T ), U ),
% 0.43/1.18 equivalent( equivalent( Y, T ), U ) ), Z ) ) ) ] )
% 0.43/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, U ), :=( T,
% 0.43/1.18 equivalent( equivalent( equivalent( equivalent( X, Y ), Z ), equivalent(
% 0.43/1.18 equivalent( T, Y ), Z ) ), equivalent( equivalent( X, U ), equivalent( T
% 0.43/1.18 , U ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, T ), :=( Z,
% 0.43/1.18 equivalent( equivalent( X, U ), equivalent( T, U ) ) ), :=( T, Y ), :=( U
% 0.43/1.18 , Z )] )).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 subsumption(
% 0.43/1.18 clause( 31, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.43/1.18 equivalent( X, Y ), Z ), equivalent( equivalent( T, Y ), Z ) ),
% 0.43/1.18 equivalent( equivalent( X, U ), equivalent( T, U ) ) ) ) ] )
% 0.43/1.18 , clause( 3136, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.43/1.18 equivalent( X, Y ), Z ), equivalent( equivalent( T, Y ), Z ) ),
% 0.43/1.18 equivalent( equivalent( X, U ), equivalent( T, U ) ) ) ) ] )
% 0.43/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.43/1.18 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 resolution(
% 0.43/1.18 clause( 3137, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), equivalent(
% 0.43/1.18 X, Y ) ) ) ] )
% 0.43/1.18 , clause( 14, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.18 equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y ) ),
% 0.43/1.18 equivalent( equivalent( X, T ), equivalent( Z, T ) ) ), U ) ) ) ] )
% 0.43/1.18 , 1, clause( 31, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.43/1.18 equivalent( X, Y ), Z ), equivalent( equivalent( T, Y ), Z ) ),
% 0.43/1.18 equivalent( equivalent( X, U ), equivalent( T, U ) ) ) ) ] )
% 0.43/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Z ),
% 0.43/1.18 :=( U, equivalent( equivalent( X, Y ), equivalent( X, Y ) ) )] ),
% 0.43/1.18 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, equivalent( T, Z ) ),
% 0.43/1.18 :=( T, X ), :=( U, Y )] )).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 subsumption(
% 0.43/1.18 clause( 36, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), equivalent( X
% 0.43/1.18 , Y ) ) ) ] )
% 0.43/1.18 , clause( 3137, [ 'is_a_theorem'( equivalent( equivalent( X, Y ),
% 0.43/1.18 equivalent( X, Y ) ) ) ] )
% 0.43/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.18 )] ) ).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 resolution(
% 0.43/1.18 clause( 3139, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.43/1.18 ), equivalent( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.43/1.18 , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 0.43/1.18 ), ~( 'is_a_theorem'( X ) ) ] )
% 0.43/1.18 , 2, clause( 36, [ 'is_a_theorem'( equivalent( equivalent( X, Y ),
% 0.43/1.18 equivalent( X, Y ) ) ) ] )
% 0.43/1.18 , 0, substitution( 0, [ :=( X, equivalent( equivalent( X, Y ), equivalent(
% 0.43/1.18 X, Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.43/1.18 ).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 subsumption(
% 0.43/1.18 clause( 43, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.18 equivalent( equivalent( X, Y ), equivalent( X, Y ) ), Z ) ) ) ] )
% 0.43/1.18 , clause( 3139, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X
% 0.43/1.18 , Y ), equivalent( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.43/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 resolution(
% 0.43/1.18 clause( 3140, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, Z
% 0.43/1.18 ) ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T ) )
% 0.43/1.18 ) ) ) ] )
% 0.43/1.18 , clause( 43, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.18 equivalent( equivalent( X, Y ), equivalent( X, Y ) ), Z ) ) ) ] )
% 0.43/1.18 , 1, clause( 19, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.43/1.18 equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), U ), equivalent(
% 0.43/1.18 equivalent( X, equivalent( Y, T ) ), U ) ) ) ] )
% 0.43/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, equivalent( equivalent( Y, T ),
% 0.43/1.18 equivalent( Z, T ) ) ), :=( Z, equivalent( equivalent( X, equivalent( Y,
% 0.43/1.18 Z ) ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T )
% 0.43/1.18 ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T
% 0.43/1.18 , Z ), :=( U, equivalent( X, equivalent( equivalent( Y, T ), equivalent(
% 0.43/1.18 Z, T ) ) ) )] )).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 subsumption(
% 0.43/1.18 clause( 45, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, Z )
% 0.43/1.18 ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T ) ) )
% 0.43/1.18 ) ) ] )
% 0.43/1.18 , clause( 3140, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y
% 0.43/1.18 , Z ) ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T
% 0.43/1.18 ) ) ) ) ) ] )
% 0.43/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 resolution(
% 0.43/1.18 clause( 3141, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y )
% 0.43/1.18 , equivalent( Z, Y ) ), equivalent( X, Z ) ) ) ] )
% 0.43/1.18 , clause( 43, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.18 equivalent( equivalent( X, Y ), equivalent( X, Y ) ), Z ) ) ) ] )
% 0.43/1.18 , 1, clause( 9, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.43/1.18 ), Z ), equivalent( equivalent( equivalent( X, T ), equivalent( Y, T ) )
% 0.43/1.18 , Z ) ) ) ] )
% 0.43/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, equivalent(
% 0.43/1.18 equivalent( equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( X, Z )
% 0.43/1.18 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, equivalent( X
% 0.43/1.18 , Z ) ), :=( T, Y )] )).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 subsumption(
% 0.43/1.18 clause( 47, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ),
% 0.43/1.18 equivalent( Z, Y ) ), equivalent( X, Z ) ) ) ] )
% 0.43/1.18 , clause( 3141, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.43/1.18 ), equivalent( Z, Y ) ), equivalent( X, Z ) ) ) ] )
% 0.43/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 resolution(
% 0.43/1.18 clause( 3143, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.43/1.18 equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( X, Z ) ), T ) ) ),
% 0.43/1.18 'is_a_theorem'( T ) ] )
% 0.43/1.18 , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 0.43/1.18 ), ~( 'is_a_theorem'( X ) ) ] )
% 0.43/1.18 , 2, clause( 47, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.43/1.18 ), equivalent( Z, Y ) ), equivalent( X, Z ) ) ) ] )
% 0.43/1.18 , 0, substitution( 0, [ :=( X, equivalent( equivalent( equivalent( X, Y ),
% 0.43/1.18 equivalent( Z, Y ) ), equivalent( X, Z ) ) ), :=( Y, T )] ),
% 0.43/1.18 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 subsumption(
% 0.43/1.18 clause( 51, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.18 equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y ) ),
% 0.43/1.18 equivalent( X, Z ) ), T ) ) ) ] )
% 0.43/1.18 , clause( 3143, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.43/1.18 equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( X, Z ) ), T ) ) ),
% 0.43/1.18 'is_a_theorem'( T ) ] )
% 0.43/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 resolution(
% 0.43/1.18 clause( 3144, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y )
% 0.43/1.18 , equivalent( Z, Y ) ), equivalent( equivalent( equivalent( X, T ), U ),
% 0.43/1.18 equivalent( equivalent( Z, T ), U ) ) ) ) ] )
% 0.43/1.18 , clause( 14, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.18 equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y ) ),
% 0.43/1.18 equivalent( equivalent( X, T ), equivalent( Z, T ) ) ), U ) ) ) ] )
% 0.43/1.18 , 1, clause( 45, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y
% 0.43/1.18 , Z ) ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T
% 0.43/1.18 ) ) ) ) ) ] )
% 0.43/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.43/1.18 :=( U, equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y ) ),
% 0.43/1.18 equivalent( equivalent( equivalent( X, T ), U ), equivalent( equivalent(
% 0.43/1.18 Z, T ), U ) ) ) )] ), substitution( 1, [ :=( X, equivalent( equivalent( X
% 0.43/1.18 , Y ), equivalent( Z, Y ) ) ), :=( Y, equivalent( X, T ) ), :=( Z,
% 0.43/1.18 equivalent( Z, T ) ), :=( T, U )] )).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 subsumption(
% 0.43/1.18 clause( 70, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ),
% 0.43/1.18 equivalent( Z, Y ) ), equivalent( equivalent( equivalent( X, T ), U ),
% 0.43/1.18 equivalent( equivalent( Z, T ), U ) ) ) ) ] )
% 0.43/1.18 , clause( 3144, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.43/1.18 ), equivalent( Z, Y ) ), equivalent( equivalent( equivalent( X, T ), U )
% 0.43/1.18 , equivalent( equivalent( Z, T ), U ) ) ) ) ] )
% 0.43/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.43/1.18 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 resolution(
% 0.43/1.18 clause( 3145, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.43/1.18 equivalent( Y, Z ) ), equivalent( T, Y ) ), equivalent( X, equivalent( T
% 0.43/1.18 , Z ) ) ) ) ] )
% 0.43/1.18 , clause( 51, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.18 equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y ) ),
% 0.43/1.18 equivalent( X, Z ) ), T ) ) ) ] )
% 0.43/1.18 , 1, clause( 19, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.43/1.18 equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), U ), equivalent(
% 0.43/1.18 equivalent( X, equivalent( Y, T ) ), U ) ) ) ] )
% 0.43/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, equivalent( Y, Z ) ), :=( Z,
% 0.43/1.18 equivalent( T, Z ) ), :=( T, equivalent( equivalent( equivalent( X,
% 0.43/1.18 equivalent( Y, Z ) ), equivalent( T, Y ) ), equivalent( X, equivalent( T
% 0.43/1.18 , Z ) ) ) )] ), substitution( 1, [ :=( X, equivalent( X, equivalent( Y, Z
% 0.43/1.18 ) ) ), :=( Y, T ), :=( Z, Z ), :=( T, Y ), :=( U, equivalent( X,
% 0.43/1.18 equivalent( T, Z ) ) )] )).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 subsumption(
% 0.43/1.18 clause( 84, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.43/1.18 equivalent( Y, Z ) ), equivalent( T, Y ) ), equivalent( X, equivalent( T
% 0.43/1.18 , Z ) ) ) ) ] )
% 0.43/1.18 , clause( 3145, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.43/1.18 equivalent( Y, Z ) ), equivalent( T, Y ) ), equivalent( X, equivalent( T
% 0.43/1.18 , Z ) ) ) ) ] )
% 0.43/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 resolution(
% 0.43/1.18 clause( 3147, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.43/1.18 equivalent( X, equivalent( Y, Z ) ), equivalent( T, Y ) ), equivalent( X
% 0.43/1.18 , equivalent( T, Z ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.43/1.18 , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 0.43/1.18 ), ~( 'is_a_theorem'( X ) ) ] )
% 0.43/1.18 , 2, clause( 84, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.43/1.18 equivalent( Y, Z ) ), equivalent( T, Y ) ), equivalent( X, equivalent( T
% 0.43/1.18 , Z ) ) ) ) ] )
% 0.43/1.18 , 0, substitution( 0, [ :=( X, equivalent( equivalent( equivalent( X,
% 0.43/1.18 equivalent( Y, Z ) ), equivalent( T, Y ) ), equivalent( X, equivalent( T
% 0.43/1.18 , Z ) ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 0.43/1.18 :=( Z, Z ), :=( T, T )] )).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 subsumption(
% 0.43/1.18 clause( 89, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.18 equivalent( equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent(
% 0.43/1.18 T, Y ) ), equivalent( X, equivalent( T, Z ) ) ), U ) ) ) ] )
% 0.43/1.18 , clause( 3147, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.43/1.18 equivalent( X, equivalent( Y, Z ) ), equivalent( T, Y ) ), equivalent( X
% 0.43/1.18 , equivalent( T, Z ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.43/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.43/1.18 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 resolution(
% 0.43/1.18 clause( 3148, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.43/1.18 equivalent( X, equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), U
% 0.43/1.18 ), W ), equivalent( equivalent( equivalent( X, equivalent( Y, T ) ), U )
% 0.43/1.18 , W ) ) ) ] )
% 0.43/1.18 , clause( 6, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.18 equivalent( equivalent( X, equivalent( X, equivalent( equivalent( Y, Z )
% 0.43/1.18 , equivalent( equivalent( Y, T ), equivalent( Z, T ) ) ) ) ), equivalent(
% 0.43/1.18 equivalent( U, W ), equivalent( equivalent( U, V0 ), equivalent( W, V0 )
% 0.43/1.18 ) ) ), V1 ) ) ) ] )
% 0.43/1.18 , 1, clause( 70, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.43/1.18 ), equivalent( Z, Y ) ), equivalent( equivalent( equivalent( X, T ), U )
% 0.43/1.18 , equivalent( equivalent( Z, T ), U ) ) ) ) ] )
% 0.43/1.18 , 0, substitution( 0, [ :=( X, equivalent( X, equivalent( equivalent( Y, Z
% 0.43/1.18 ), equivalent( T, Z ) ) ) ), :=( Y, Y ), :=( Z, T ), :=( T, Z ), :=( U,
% 0.43/1.18 X ), :=( W, equivalent( Y, T ) ), :=( V0, equivalent( equivalent( Y, Z )
% 0.43/1.18 , equivalent( T, Z ) ) ), :=( V1, equivalent( equivalent( equivalent(
% 0.43/1.18 equivalent( X, equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), U
% 0.43/1.18 ), W ), equivalent( equivalent( equivalent( X, equivalent( Y, T ) ), U )
% 0.43/1.18 , W ) ) )] ), substitution( 1, [ :=( X, equivalent( X, equivalent(
% 0.43/1.18 equivalent( Y, Z ), equivalent( T, Z ) ) ) ), :=( Y, equivalent(
% 0.43/1.18 equivalent( X, equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ),
% 0.43/1.18 equivalent( equivalent( Y, T ), equivalent( equivalent( Y, Z ),
% 0.43/1.18 equivalent( T, Z ) ) ) ) ), :=( Z, equivalent( X, equivalent( Y, T ) ) )
% 0.43/1.18 , :=( T, U ), :=( U, W )] )).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 subsumption(
% 0.43/1.18 clause( 101, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.43/1.18 equivalent( X, equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), U
% 0.43/1.18 ), W ), equivalent( equivalent( equivalent( X, equivalent( Y, T ) ), U )
% 0.43/1.18 , W ) ) ) ] )
% 0.43/1.18 , clause( 3148, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.43/1.18 equivalent( X, equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), U
% 0.43/1.18 ), W ), equivalent( equivalent( equivalent( X, equivalent( Y, T ) ), U )
% 0.43/1.18 , W ) ) ) ] )
% 0.43/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.43/1.18 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 resolution(
% 0.43/1.18 clause( 3149, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.43/1.18 equivalent( Y, Z ) ), equivalent( T, equivalent( Y, U ) ) ), equivalent(
% 0.43/1.18 X, equivalent( T, equivalent( Z, U ) ) ) ) ) ] )
% 0.43/1.18 , clause( 89, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent(
% 0.43/1.18 equivalent( equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent(
% 0.43/1.18 T, Y ) ), equivalent( X, equivalent( T, Z ) ) ), U ) ) ) ] )
% 0.43/1.18 , 1, clause( 101, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.43/1.18 equivalent( X, equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), U
% 0.43/1.18 ), W ), equivalent( equivalent( equivalent( X, equivalent( Y, T ) ), U )
% 0.43/1.18 , W ) ) ) ] )
% 0.43/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, equivalent( Y, U ) ), :=( Z,
% 0.43/1.18 equivalent( Z, U ) ), :=( T, T ), :=( U, equivalent( equivalent(
% 0.43/1.18 equivalent( X, equivalent( Y, Z ) ), equivalent( T, equivalent( Y, U ) )
% 0.43/1.18 ), equivalent( X, equivalent( T, equivalent( Z, U ) ) ) ) )] ),
% 0.43/1.18 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, U ), :=( T, Z ), :=( U
% 0.43/1.18 , equivalent( T, equivalent( Y, U ) ) ), :=( W, equivalent( X, equivalent(
% 0.43/1.18 T, equivalent( Z, U ) ) ) )] )).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 subsumption(
% 0.43/1.18 clause( 2876, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.43/1.18 equivalent( Y, Z ) ), equivalent( T, equivalent( Y, U ) ) ), equivalent(
% 0.43/1.18 X, equivalent( T, equivalent( Z, U ) ) ) ) ) ] )
% 0.43/1.18 , clause( 3149, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.43/1.18 equivalent( Y, Z ) ), equivalent( T, equivalent( Y, U ) ) ), equivalent(
% 0.43/1.18 X, equivalent( T, equivalent( Z, U ) ) ) ) ) ] )
% 0.43/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.43/1.18 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 resolution(
% 0.43/1.18 clause( 3150, [] )
% 0.43/1.18 , clause( 2, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( a,
% 0.43/1.18 equivalent( b, c ) ), equivalent( e, equivalent( b, f ) ) ), equivalent(
% 0.43/1.18 a, equivalent( e, equivalent( c, f ) ) ) ) ) ) ] )
% 0.43/1.18 , 0, clause( 2876, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X
% 0.43/1.18 , equivalent( Y, Z ) ), equivalent( T, equivalent( Y, U ) ) ), equivalent(
% 0.43/1.18 X, equivalent( T, equivalent( Z, U ) ) ) ) ) ] )
% 0.43/1.18 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 0.43/1.18 Z, c ), :=( T, e ), :=( U, f )] )).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 subsumption(
% 0.43/1.18 clause( 3116, [] )
% 0.43/1.18 , clause( 3150, [] )
% 0.43/1.18 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 end.
% 0.43/1.18
% 0.43/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.18
% 0.43/1.18 Memory use:
% 0.43/1.18
% 0.43/1.18 space for terms: 80582
% 0.43/1.18 space for clauses: 374141
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 clauses generated: 7238
% 0.43/1.18 clauses kept: 3117
% 0.43/1.18 clauses selected: 335
% 0.43/1.18 clauses deleted: 6
% 0.43/1.18 clauses inuse deleted: 3
% 0.43/1.18
% 0.43/1.18 subsentry: 4548
% 0.43/1.18 literals s-matched: 4126
% 0.43/1.18 literals matched: 4126
% 0.43/1.18 full subsumption: 0
% 0.43/1.18
% 0.43/1.18 checksum: -1526083144
% 0.43/1.18
% 0.43/1.18
% 0.43/1.18 Bliksem ended
%------------------------------------------------------------------------------