TSTP Solution File: LCL131-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL131-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 07:50:46 EDT 2022
% Result : Unsatisfiable 0.72s 1.14s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL131-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n016.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Sun Jul 3 10:31:15 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.72/1.14 *** allocated 10000 integers for termspace/termends
% 0.72/1.14 *** allocated 10000 integers for clauses
% 0.72/1.14 *** allocated 10000 integers for justifications
% 0.72/1.14 Bliksem 1.12
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Automatic Strategy Selection
% 0.72/1.14
% 0.72/1.14 Clauses:
% 0.72/1.14 [
% 0.72/1.14 [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.72/1.14 'is_a_theorem'( Y ) ],
% 0.72/1.14 [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( equivalent(
% 0.72/1.14 equivalent( Y, Z ), equivalent( T, Z ) ), equivalent( Y, T ) ) ), X ) ) ]
% 0.72/1.14 ,
% 0.72/1.14 [ ~( 'is_a_theorem'( equivalent( a, equivalent( a, equivalent(
% 0.72/1.14 equivalent( b, c ), equivalent( equivalent( b, e ), equivalent( c, e ) )
% 0.72/1.14 ) ) ) ) ) ]
% 0.72/1.14 ] .
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 percentage equality = 0.000000, percentage horn = 1.000000
% 0.72/1.14 This is a near-Horn, non-equality problem
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Options Used:
% 0.72/1.14
% 0.72/1.14 useres = 1
% 0.72/1.14 useparamod = 0
% 0.72/1.14 useeqrefl = 0
% 0.72/1.14 useeqfact = 0
% 0.72/1.14 usefactor = 1
% 0.72/1.14 usesimpsplitting = 0
% 0.72/1.14 usesimpdemod = 0
% 0.72/1.14 usesimpres = 4
% 0.72/1.14
% 0.72/1.14 resimpinuse = 1000
% 0.72/1.14 resimpclauses = 20000
% 0.72/1.14 substype = standard
% 0.72/1.14 backwardsubs = 1
% 0.72/1.14 selectoldest = 5
% 0.72/1.14
% 0.72/1.14 litorderings [0] = split
% 0.72/1.14 litorderings [1] = liftord
% 0.72/1.14
% 0.72/1.14 termordering = none
% 0.72/1.14
% 0.72/1.14 litapriori = 1
% 0.72/1.14 termapriori = 0
% 0.72/1.14 litaposteriori = 0
% 0.72/1.14 termaposteriori = 0
% 0.72/1.14 demodaposteriori = 0
% 0.72/1.14 ordereqreflfact = 0
% 0.72/1.14
% 0.72/1.14 litselect = negative
% 0.72/1.14
% 0.72/1.14 maxweight = 30000
% 0.72/1.14 maxdepth = 30000
% 0.72/1.14 maxlength = 115
% 0.72/1.14 maxnrvars = 195
% 0.72/1.14 excuselevel = 0
% 0.72/1.14 increasemaxweight = 0
% 0.72/1.14
% 0.72/1.14 maxselected = 10000000
% 0.72/1.14 maxnrclauses = 10000000
% 0.72/1.14
% 0.72/1.14 showgenerated = 0
% 0.72/1.14 showkept = 0
% 0.72/1.14 showselected = 0
% 0.72/1.14 showdeleted = 0
% 0.72/1.14 showresimp = 1
% 0.72/1.14 showstatus = 2000
% 0.72/1.14
% 0.72/1.14 prologoutput = 1
% 0.72/1.14 nrgoals = 5000000
% 0.72/1.14 totalproof = 1
% 0.72/1.14
% 0.72/1.14 Symbols occurring in the translation:
% 0.72/1.14
% 0.72/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.14 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.72/1.14 ! [4, 1] (w:1, o:17, a:1, s:1, b:0),
% 0.72/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.14 equivalent [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.72/1.14 'is_a_theorem' [42, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.14 a [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.72/1.14 b [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.72/1.14 c [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.72/1.14 e [48, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Starting Search:
% 0.72/1.14
% 0.72/1.14 Resimplifying inuse:
% 0.72/1.14 Done
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Intermediate Status:
% 0.72/1.14 Generated: 4801
% 0.72/1.14 Kept: 2045
% 0.72/1.14 Inuse: 266
% 0.72/1.14 Deleted: 5
% 0.72/1.14 Deletedinuse: 3
% 0.72/1.14
% 0.72/1.14 Resimplifying inuse:
% 0.72/1.14 Done
% 0.72/1.14
% 0.72/1.14 Resimplifying inuse:
% 0.72/1.14 Done
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Bliksems!, er is een bewijs:
% 0.72/1.14 % SZS status Unsatisfiable
% 0.72/1.14 % SZS output start Refutation
% 0.72/1.14
% 0.72/1.14 clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.72/1.14 , ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 1, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent(
% 0.72/1.14 equivalent( equivalent( Y, Z ), equivalent( T, Z ) ), equivalent( Y, T )
% 0.72/1.14 ) ), X ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 2, [ ~( 'is_a_theorem'( equivalent( a, equivalent( a, equivalent(
% 0.72/1.14 equivalent( b, c ), equivalent( equivalent( b, e ), equivalent( c, e ) )
% 0.72/1.14 ) ) ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent( equivalent(
% 0.72/1.14 equivalent( X, equivalent( equivalent( equivalent( Y, Z ), equivalent( T
% 0.72/1.14 , Z ) ), equivalent( Y, T ) ) ), X ), U ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 4, [ 'is_a_theorem'( equivalent( equivalent( equivalent( equivalent(
% 0.72/1.14 X, Y ), equivalent( Z, Y ) ), equivalent( X, Z ) ), equivalent(
% 0.72/1.14 equivalent( equivalent( T, U ), equivalent( W, U ) ), equivalent( T, W )
% 0.72/1.14 ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y
% 0.72/1.14 ) ), equivalent( X, Z ) ), equivalent( equivalent( equivalent( T, U ),
% 0.72/1.14 equivalent( W, U ) ), equivalent( T, W ) ) ), V0 ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 6, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ),
% 0.72/1.14 equivalent( Z, Y ) ), equivalent( X, Z ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 7, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ),
% 0.72/1.14 equivalent( Z, Y ) ), equivalent( equivalent( X, T ), equivalent( Z, T )
% 0.72/1.14 ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( equivalent(
% 0.72/1.14 equivalent( equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( X, Z )
% 0.72/1.14 ), T ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 9, [ 'is_a_theorem'( equivalent( equivalent( equivalent( equivalent(
% 0.72/1.14 X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( equivalent( X
% 0.72/1.14 , U ), equivalent( Z, U ) ), T ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 10, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.72/1.14 equivalent( equivalent( equivalent( Y, Z ), equivalent( T, Z ) ),
% 0.72/1.14 equivalent( Y, T ) ) ), U ), equivalent( X, U ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 12, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( X
% 0.72/1.14 , Z ), T ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 13, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), equivalent( X
% 0.72/1.14 , Y ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 14, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent(
% 0.72/1.14 equivalent( Y, Z ), equivalent( T, Z ) ) ), equivalent( X, equivalent( Y
% 0.72/1.14 , T ) ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 15, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y
% 0.72/1.14 ) ), T ), equivalent( equivalent( X, Z ), T ) ), U ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 17, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y
% 0.72/1.14 ) ), T ), equivalent( equivalent( equivalent( X, U ), equivalent( Z, U )
% 0.72/1.14 ), T ) ), W ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 18, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( X, Y ), equivalent( X, Y ) ), Z ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 19, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), equivalent(
% 0.72/1.14 equivalent( X, Z ), equivalent( Y, Z ) ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 23, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, Z )
% 0.72/1.14 ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T ) ) )
% 0.72/1.14 ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 27, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( X, Y ), equivalent( equivalent( X, Z ),
% 0.72/1.14 equivalent( Y, Z ) ) ), T ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 30, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent( X,
% 0.72/1.14 equivalent( equivalent( Y, T ), equivalent( Z, T ) ) ) ), U ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 55, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent(
% 0.72/1.14 equivalent( X, Z ), U ), equivalent( T, U ) ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 57, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), Z ), equivalent( T, Z ) ), equivalent( equivalent( X
% 0.72/1.14 , U ), equivalent( T, equivalent( U, Y ) ) ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 90, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( T, equivalent( Z, U
% 0.72/1.14 ) ) ), equivalent( equivalent( X, U ), T ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 92, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y
% 0.72/1.14 ) ), equivalent( T, equivalent( Z, U ) ) ), equivalent( equivalent( X, U
% 0.72/1.14 ), T ) ), W ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 94, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), Z ), T ), equivalent( equivalent( equivalent( X, U )
% 0.72/1.14 , equivalent( Z, equivalent( U, Y ) ) ), T ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 103, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ),
% 0.72/1.14 equivalent( Z, equivalent( Y, T ) ) ), equivalent( equivalent( equivalent(
% 0.72/1.14 X, T ), U ), equivalent( Z, U ) ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 106, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ),
% 0.72/1.14 equivalent( equivalent( Z, T ), equivalent( Y, T ) ) ), equivalent( X, Z
% 0.72/1.14 ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 202, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, Y
% 0.72/1.14 ) ), X ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 214, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( X, equivalent( Y, Y ) ), X ), Z ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 403, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, equivalent( equivalent( Y, Y ), Z ) ), Z ), T ),
% 0.72/1.14 equivalent( X, T ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 2402, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y,
% 0.72/1.14 equivalent( equivalent( Z, Z ), T ) ) ), equivalent( equivalent( X, T ),
% 0.72/1.14 Y ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 2462, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.72/1.14 equivalent( Y, Z ) ), equivalent( Z, Y ) ), X ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 2466, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent(
% 0.72/1.14 Z, Y ) ), X ), T ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 3255, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.72/1.14 equivalent( Y, Z ) ), T ), equivalent( X, equivalent( T, equivalent( Z, Y
% 0.72/1.14 ) ) ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 3277, [ 'is_a_theorem'( equivalent( X, equivalent( X, equivalent(
% 0.72/1.14 equivalent( Y, Z ), equivalent( equivalent( Y, T ), equivalent( Z, T ) )
% 0.72/1.14 ) ) ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 3592, [] )
% 0.72/1.14 .
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 % SZS output end Refutation
% 0.72/1.14 found a proof!
% 0.72/1.14
% 0.72/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.14
% 0.72/1.14 initialclauses(
% 0.72/1.14 [ clause( 3594, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), ~(
% 0.72/1.14 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 0.72/1.14 , clause( 3595, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent(
% 0.72/1.14 equivalent( equivalent( Y, Z ), equivalent( T, Z ) ), equivalent( Y, T )
% 0.72/1.14 ) ), X ) ) ] )
% 0.72/1.14 , clause( 3596, [ ~( 'is_a_theorem'( equivalent( a, equivalent( a,
% 0.72/1.14 equivalent( equivalent( b, c ), equivalent( equivalent( b, e ),
% 0.72/1.14 equivalent( c, e ) ) ) ) ) ) ) ] )
% 0.72/1.14 ] ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.72/1.14 , ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.14 , clause( 3594, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), ~(
% 0.72/1.14 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.14 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 1, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent(
% 0.72/1.14 equivalent( equivalent( Y, Z ), equivalent( T, Z ) ), equivalent( Y, T )
% 0.72/1.14 ) ), X ) ) ] )
% 0.72/1.14 , clause( 3595, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent(
% 0.72/1.14 equivalent( equivalent( Y, Z ), equivalent( T, Z ) ), equivalent( Y, T )
% 0.72/1.14 ) ), X ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 2, [ ~( 'is_a_theorem'( equivalent( a, equivalent( a, equivalent(
% 0.72/1.14 equivalent( b, c ), equivalent( equivalent( b, e ), equivalent( c, e ) )
% 0.72/1.14 ) ) ) ) ) ] )
% 0.72/1.14 , clause( 3596, [ ~( 'is_a_theorem'( equivalent( a, equivalent( a,
% 0.72/1.14 equivalent( equivalent( b, c ), equivalent( equivalent( b, e ),
% 0.72/1.14 equivalent( c, e ) ) ) ) ) ) ) ] )
% 0.72/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3598, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.72/1.14 equivalent( equivalent( equivalent( Y, Z ), equivalent( T, Z ) ),
% 0.72/1.14 equivalent( Y, T ) ) ), X ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.72/1.14 , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 0.72/1.14 ), ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.14 , 2, clause( 1, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent(
% 0.72/1.14 equivalent( equivalent( Y, Z ), equivalent( T, Z ) ), equivalent( Y, T )
% 0.72/1.14 ) ), X ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, equivalent( equivalent( X, equivalent(
% 0.72/1.14 equivalent( equivalent( Y, Z ), equivalent( T, Z ) ), equivalent( Y, T )
% 0.72/1.14 ) ), X ) ), :=( Y, U )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 0.72/1.14 :=( Z, Z ), :=( T, T )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent( equivalent(
% 0.72/1.14 equivalent( X, equivalent( equivalent( equivalent( Y, Z ), equivalent( T
% 0.72/1.14 , Z ) ), equivalent( Y, T ) ) ), X ), U ) ) ) ] )
% 0.72/1.14 , clause( 3598, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X
% 0.72/1.14 , equivalent( equivalent( equivalent( Y, Z ), equivalent( T, Z ) ),
% 0.72/1.14 equivalent( Y, T ) ) ), X ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.14 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3599, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( X, Z ) ),
% 0.72/1.14 equivalent( equivalent( equivalent( T, U ), equivalent( W, U ) ),
% 0.72/1.14 equivalent( T, W ) ) ) ) ] )
% 0.72/1.14 , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( X, equivalent( equivalent( equivalent( Y, Z ),
% 0.72/1.14 equivalent( T, Z ) ), equivalent( Y, T ) ) ), X ), U ) ) ) ] )
% 0.72/1.14 , 1, clause( 1, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent(
% 0.72/1.14 equivalent( equivalent( Y, Z ), equivalent( T, Z ) ), equivalent( Y, T )
% 0.72/1.14 ) ), X ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, equivalent( equivalent( equivalent( X, Y ),
% 0.72/1.14 equivalent( Z, Y ) ), equivalent( X, Z ) ) ), :=( Y, T ), :=( Z, U ),
% 0.72/1.14 :=( T, W ), :=( U, equivalent( equivalent( equivalent( equivalent( X, Y )
% 0.72/1.14 , equivalent( Z, Y ) ), equivalent( X, Z ) ), equivalent( equivalent(
% 0.72/1.14 equivalent( T, U ), equivalent( W, U ) ), equivalent( T, W ) ) ) )] ),
% 0.72/1.14 substitution( 1, [ :=( X, equivalent( equivalent( equivalent( equivalent(
% 0.72/1.14 X, Y ), equivalent( Z, Y ) ), equivalent( X, Z ) ), equivalent(
% 0.72/1.14 equivalent( equivalent( T, U ), equivalent( W, U ) ), equivalent( T, W )
% 0.72/1.14 ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 4, [ 'is_a_theorem'( equivalent( equivalent( equivalent( equivalent(
% 0.72/1.14 X, Y ), equivalent( Z, Y ) ), equivalent( X, Z ) ), equivalent(
% 0.72/1.14 equivalent( equivalent( T, U ), equivalent( W, U ) ), equivalent( T, W )
% 0.72/1.14 ) ) ) ] )
% 0.72/1.14 , clause( 3599, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( X, Z ) ),
% 0.72/1.14 equivalent( equivalent( equivalent( T, U ), equivalent( W, U ) ),
% 0.72/1.14 equivalent( T, W ) ) ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.14 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3601, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( X, Z )
% 0.72/1.14 ), equivalent( equivalent( equivalent( T, U ), equivalent( W, U ) ),
% 0.72/1.14 equivalent( T, W ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 0.72/1.14 , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 0.72/1.14 ), ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.14 , 2, clause( 4, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( X, Z ) ),
% 0.72/1.14 equivalent( equivalent( equivalent( T, U ), equivalent( W, U ) ),
% 0.72/1.14 equivalent( T, W ) ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( X, Z ) ),
% 0.72/1.14 equivalent( equivalent( equivalent( T, U ), equivalent( W, U ) ),
% 0.72/1.14 equivalent( T, W ) ) ) ), :=( Y, V0 )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.14 :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, U ), :=( W, W )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y
% 0.72/1.14 ) ), equivalent( X, Z ) ), equivalent( equivalent( equivalent( T, U ),
% 0.72/1.14 equivalent( W, U ) ), equivalent( T, W ) ) ), V0 ) ) ) ] )
% 0.72/1.14 , clause( 3601, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( X, Z )
% 0.72/1.14 ), equivalent( equivalent( equivalent( T, U ), equivalent( W, U ) ),
% 0.72/1.14 equivalent( T, W ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.14 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1
% 0.72/1.14 , 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3602, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y )
% 0.72/1.14 , equivalent( Z, Y ) ), equivalent( X, Z ) ) ) ] )
% 0.72/1.14 , clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y
% 0.72/1.14 ) ), equivalent( X, Z ) ), equivalent( equivalent( equivalent( T, U ),
% 0.72/1.14 equivalent( W, U ) ), equivalent( T, W ) ) ), V0 ) ) ) ] )
% 0.72/1.14 , 1, clause( 1, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent(
% 0.72/1.14 equivalent( equivalent( Y, Z ), equivalent( T, Z ) ), equivalent( Y, T )
% 0.72/1.14 ) ), X ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.72/1.14 :=( U, U ), :=( W, W ), :=( V0, equivalent( equivalent( equivalent( X, Y
% 0.72/1.14 ), equivalent( Z, Y ) ), equivalent( X, Z ) ) )] ), substitution( 1, [
% 0.72/1.14 :=( X, equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y ) ),
% 0.72/1.14 equivalent( X, Z ) ) ), :=( Y, T ), :=( Z, U ), :=( T, W )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 6, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ),
% 0.72/1.14 equivalent( Z, Y ) ), equivalent( X, Z ) ) ) ] )
% 0.72/1.14 , clause( 3602, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.72/1.14 ), equivalent( Z, Y ) ), equivalent( X, Z ) ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3603, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y )
% 0.72/1.14 , equivalent( Z, Y ) ), equivalent( equivalent( X, T ), equivalent( Z, T
% 0.72/1.14 ) ) ) ) ] )
% 0.72/1.14 , clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y
% 0.72/1.14 ) ), equivalent( X, Z ) ), equivalent( equivalent( equivalent( T, U ),
% 0.72/1.14 equivalent( W, U ) ), equivalent( T, W ) ) ), V0 ) ) ) ] )
% 0.72/1.14 , 1, clause( 6, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.72/1.14 ), equivalent( Z, Y ) ), equivalent( X, Z ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X ),
% 0.72/1.14 :=( U, T ), :=( W, Z ), :=( V0, equivalent( equivalent( equivalent( X, Y
% 0.72/1.14 ), equivalent( Z, Y ) ), equivalent( equivalent( X, T ), equivalent( Z,
% 0.72/1.14 T ) ) ) )] ), substitution( 1, [ :=( X, equivalent( equivalent( X, Y ),
% 0.72/1.14 equivalent( Z, Y ) ) ), :=( Y, equivalent( X, Z ) ), :=( Z, equivalent(
% 0.72/1.14 equivalent( X, T ), equivalent( Z, T ) ) )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 7, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ),
% 0.72/1.14 equivalent( Z, Y ) ), equivalent( equivalent( X, T ), equivalent( Z, T )
% 0.72/1.14 ) ) ) ] )
% 0.72/1.14 , clause( 3603, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.72/1.14 ), equivalent( Z, Y ) ), equivalent( equivalent( X, T ), equivalent( Z,
% 0.72/1.14 T ) ) ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3605, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( X, Z ) ), T ) ) ),
% 0.72/1.14 'is_a_theorem'( T ) ] )
% 0.72/1.14 , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 0.72/1.14 ), ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.14 , 2, clause( 6, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.72/1.14 ), equivalent( Z, Y ) ), equivalent( X, Z ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, equivalent( equivalent( equivalent( X, Y ),
% 0.72/1.14 equivalent( Z, Y ) ), equivalent( X, Z ) ) ), :=( Y, T )] ),
% 0.72/1.14 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( equivalent(
% 0.72/1.14 equivalent( equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( X, Z )
% 0.72/1.14 ), T ) ) ) ] )
% 0.72/1.14 , clause( 3605, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( X, Z ) ), T ) ) ),
% 0.72/1.14 'is_a_theorem'( T ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.14 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3606, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent(
% 0.72/1.14 equivalent( X, U ), equivalent( Z, U ) ), T ) ) ) ] )
% 0.72/1.14 , clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y
% 0.72/1.14 ) ), equivalent( X, Z ) ), equivalent( equivalent( equivalent( T, U ),
% 0.72/1.14 equivalent( W, U ) ), equivalent( T, W ) ) ), V0 ) ) ) ] )
% 0.72/1.14 , 1, clause( 7, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.72/1.14 ), equivalent( Z, Y ) ), equivalent( equivalent( X, T ), equivalent( Z,
% 0.72/1.14 T ) ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X ),
% 0.72/1.14 :=( U, U ), :=( W, Z ), :=( V0, equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent(
% 0.72/1.14 equivalent( X, U ), equivalent( Z, U ) ), T ) ) )] ), substitution( 1, [
% 0.72/1.14 :=( X, equivalent( equivalent( X, Y ), equivalent( Z, Y ) ) ), :=( Y,
% 0.72/1.14 equivalent( X, Z ) ), :=( Z, equivalent( equivalent( X, U ), equivalent(
% 0.72/1.14 Z, U ) ) ), :=( T, T )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 9, [ 'is_a_theorem'( equivalent( equivalent( equivalent( equivalent(
% 0.72/1.14 X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( equivalent( X
% 0.72/1.14 , U ), equivalent( Z, U ) ), T ) ) ) ] )
% 0.72/1.14 , clause( 3606, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent(
% 0.72/1.14 equivalent( X, U ), equivalent( Z, U ) ), T ) ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.14 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3607, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.72/1.14 equivalent( equivalent( equivalent( Y, Z ), equivalent( T, Z ) ),
% 0.72/1.14 equivalent( Y, T ) ) ), U ), equivalent( X, U ) ) ) ] )
% 0.72/1.14 , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( X, equivalent( equivalent( equivalent( Y, Z ),
% 0.72/1.14 equivalent( T, Z ) ), equivalent( Y, T ) ) ), X ), U ) ) ) ] )
% 0.72/1.14 , 1, clause( 7, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.72/1.14 ), equivalent( Z, Y ) ), equivalent( equivalent( X, T ), equivalent( Z,
% 0.72/1.14 T ) ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, equivalent( X, equivalent( equivalent(
% 0.72/1.14 equivalent( Y, Z ), equivalent( T, Z ) ), equivalent( Y, T ) ) ) ), :=( Y
% 0.72/1.14 , Y ), :=( Z, Z ), :=( T, T ), :=( U, equivalent( equivalent( equivalent(
% 0.72/1.14 X, equivalent( equivalent( equivalent( Y, Z ), equivalent( T, Z ) ),
% 0.72/1.14 equivalent( Y, T ) ) ), U ), equivalent( X, U ) ) )] ), substitution( 1
% 0.72/1.14 , [ :=( X, equivalent( X, equivalent( equivalent( equivalent( Y, Z ),
% 0.72/1.14 equivalent( T, Z ) ), equivalent( Y, T ) ) ) ), :=( Y, equivalent(
% 0.72/1.14 equivalent( equivalent( Y, Z ), equivalent( T, Z ) ), equivalent( Y, T )
% 0.72/1.14 ) ), :=( Z, X ), :=( T, U )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 10, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.72/1.14 equivalent( equivalent( equivalent( Y, Z ), equivalent( T, Z ) ),
% 0.72/1.14 equivalent( Y, T ) ) ), U ), equivalent( X, U ) ) ) ] )
% 0.72/1.14 , clause( 3607, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.72/1.14 equivalent( equivalent( equivalent( Y, Z ), equivalent( T, Z ) ),
% 0.72/1.14 equivalent( Y, T ) ) ), U ), equivalent( X, U ) ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.14 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3608, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( X
% 0.72/1.14 , Z ), T ) ) ) ] )
% 0.72/1.14 , clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y ) ),
% 0.72/1.14 equivalent( X, Z ) ), T ) ) ) ] )
% 0.72/1.14 , 1, clause( 1, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent(
% 0.72/1.14 equivalent( equivalent( Y, Z ), equivalent( T, Z ) ), equivalent( Y, T )
% 0.72/1.14 ) ), X ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, equivalent( equivalent( X, Y ), equivalent(
% 0.72/1.14 Z, Y ) ) ), :=( Y, T ), :=( Z, equivalent( X, Z ) ), :=( T, equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y ) ), T ),
% 0.72/1.14 equivalent( equivalent( X, Z ), T ) ) )] ), substitution( 1, [ :=( X,
% 0.72/1.14 equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y
% 0.72/1.14 ) ), T ), equivalent( equivalent( X, Z ), T ) ) ), :=( Y, X ), :=( Z, Y
% 0.72/1.14 ), :=( T, Z )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 12, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( X
% 0.72/1.14 , Z ), T ) ) ) ] )
% 0.72/1.14 , clause( 3608, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( X
% 0.72/1.14 , Z ), T ) ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3609, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), equivalent(
% 0.72/1.14 X, Y ) ) ) ] )
% 0.72/1.14 , clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y ) ),
% 0.72/1.14 equivalent( X, Z ) ), T ) ) ) ] )
% 0.72/1.14 , 1, clause( 12, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( X
% 0.72/1.14 , Z ), T ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T,
% 0.72/1.14 equivalent( equivalent( X, Y ), equivalent( X, Y ) ) )] ), substitution(
% 0.72/1.14 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, equivalent( X, Y ) )] )
% 0.72/1.14 ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 13, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), equivalent( X
% 0.72/1.14 , Y ) ) ) ] )
% 0.72/1.14 , clause( 3609, [ 'is_a_theorem'( equivalent( equivalent( X, Y ),
% 0.72/1.14 equivalent( X, Y ) ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.14 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3610, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent(
% 0.72/1.14 equivalent( Y, Z ), equivalent( T, Z ) ) ), equivalent( X, equivalent( Y
% 0.72/1.14 , T ) ) ) ) ] )
% 0.72/1.14 , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( X, equivalent( equivalent( equivalent( Y, Z ),
% 0.72/1.14 equivalent( T, Z ) ), equivalent( Y, T ) ) ), X ), U ) ) ) ] )
% 0.72/1.14 , 1, clause( 12, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( X
% 0.72/1.14 , Z ), T ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, equivalent( X, equivalent( Y, T ) ) ), :=( Y
% 0.72/1.14 , Y ), :=( Z, Z ), :=( T, T ), :=( U, equivalent( equivalent( X,
% 0.72/1.14 equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), equivalent( X,
% 0.72/1.14 equivalent( Y, T ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.72/1.14 equivalent( Y, T ) ), :=( Z, equivalent( equivalent( Y, Z ), equivalent(
% 0.72/1.14 T, Z ) ) ), :=( T, equivalent( X, equivalent( Y, T ) ) )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 14, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent(
% 0.72/1.14 equivalent( Y, Z ), equivalent( T, Z ) ) ), equivalent( X, equivalent( Y
% 0.72/1.14 , T ) ) ) ) ] )
% 0.72/1.14 , clause( 3610, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent(
% 0.72/1.14 equivalent( Y, Z ), equivalent( T, Z ) ) ), equivalent( X, equivalent( Y
% 0.72/1.14 , T ) ) ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3612, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent(
% 0.72/1.14 equivalent( X, Z ), T ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.72/1.14 , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 0.72/1.14 ), ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.14 , 2, clause( 12, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( X
% 0.72/1.14 , Z ), T ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( X
% 0.72/1.14 , Z ), T ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 0.72/1.14 , :=( Z, Z ), :=( T, T )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 15, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y
% 0.72/1.14 ) ), T ), equivalent( equivalent( X, Z ), T ) ), U ) ) ) ] )
% 0.72/1.14 , clause( 3612, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent(
% 0.72/1.14 equivalent( X, Z ), T ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.14 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3614, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent(
% 0.72/1.14 equivalent( equivalent( X, U ), equivalent( Z, U ) ), T ) ), W ) ) ),
% 0.72/1.14 'is_a_theorem'( W ) ] )
% 0.72/1.14 , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 0.72/1.14 ), ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.14 , 2, clause( 9, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent(
% 0.72/1.14 equivalent( X, U ), equivalent( Z, U ) ), T ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent(
% 0.72/1.14 equivalent( X, U ), equivalent( Z, U ) ), T ) ) ), :=( Y, W )] ),
% 0.72/1.14 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.14 , U )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 17, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y
% 0.72/1.14 ) ), T ), equivalent( equivalent( equivalent( X, U ), equivalent( Z, U )
% 0.72/1.14 ), T ) ), W ) ) ) ] )
% 0.72/1.14 , clause( 3614, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent(
% 0.72/1.14 equivalent( equivalent( X, U ), equivalent( Z, U ) ), T ) ), W ) ) ),
% 0.72/1.14 'is_a_theorem'( W ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.14 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3616, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.72/1.14 ), equivalent( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.72/1.14 , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 0.72/1.14 ), ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.14 , 2, clause( 13, [ 'is_a_theorem'( equivalent( equivalent( X, Y ),
% 0.72/1.14 equivalent( X, Y ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, equivalent( equivalent( X, Y ), equivalent(
% 0.72/1.14 X, Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.72/1.14 ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 18, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( X, Y ), equivalent( X, Y ) ), Z ) ) ) ] )
% 0.72/1.14 , clause( 3616, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X
% 0.72/1.14 , Y ), equivalent( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.14 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3617, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), equivalent(
% 0.72/1.14 equivalent( X, Z ), equivalent( Y, Z ) ) ) ) ] )
% 0.72/1.14 , clause( 18, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( X, Y ), equivalent( X, Y ) ), Z ) ) ) ] )
% 0.72/1.14 , 1, clause( 12, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( X
% 0.72/1.14 , Z ), T ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, equivalent( X, Z ) ), :=( Y, equivalent( Y,
% 0.72/1.14 Z ) ), :=( Z, equivalent( equivalent( X, Y ), equivalent( equivalent( X,
% 0.72/1.14 Z ), equivalent( Y, Z ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Z
% 0.72/1.14 ), :=( Z, Y ), :=( T, equivalent( equivalent( X, Z ), equivalent( Y, Z )
% 0.72/1.14 ) )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 19, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), equivalent(
% 0.72/1.14 equivalent( X, Z ), equivalent( Y, Z ) ) ) ) ] )
% 0.72/1.14 , clause( 3617, [ 'is_a_theorem'( equivalent( equivalent( X, Y ),
% 0.72/1.14 equivalent( equivalent( X, Z ), equivalent( Y, Z ) ) ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3618, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, Z
% 0.72/1.14 ) ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T ) )
% 0.72/1.14 ) ) ) ] )
% 0.72/1.14 , clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y ) ),
% 0.72/1.14 equivalent( X, Z ) ), T ) ) ) ] )
% 0.72/1.14 , 1, clause( 10, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.72/1.14 equivalent( equivalent( equivalent( Y, Z ), equivalent( T, Z ) ),
% 0.72/1.14 equivalent( Y, T ) ) ), U ), equivalent( X, U ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, equivalent( Y, Z ) ), :=( Z,
% 0.72/1.14 equivalent( equivalent( Y, T ), equivalent( Z, T ) ) ), :=( T, equivalent(
% 0.72/1.14 equivalent( X, equivalent( Y, Z ) ), equivalent( X, equivalent(
% 0.72/1.14 equivalent( Y, T ), equivalent( Z, T ) ) ) ) )] ), substitution( 1, [
% 0.72/1.14 :=( X, equivalent( X, equivalent( Y, Z ) ) ), :=( Y, Y ), :=( Z, T ),
% 0.72/1.14 :=( T, Z ), :=( U, equivalent( X, equivalent( equivalent( Y, T ),
% 0.72/1.14 equivalent( Z, T ) ) ) )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 23, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, Z )
% 0.72/1.14 ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T ) ) )
% 0.72/1.14 ) ) ] )
% 0.72/1.14 , clause( 3618, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y
% 0.72/1.14 , Z ) ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T
% 0.72/1.14 ) ) ) ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3620, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.72/1.14 ), equivalent( equivalent( X, Z ), equivalent( Y, Z ) ) ), T ) ) ),
% 0.72/1.14 'is_a_theorem'( T ) ] )
% 0.72/1.14 , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 0.72/1.14 ), ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.14 , 2, clause( 19, [ 'is_a_theorem'( equivalent( equivalent( X, Y ),
% 0.72/1.14 equivalent( equivalent( X, Z ), equivalent( Y, Z ) ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, equivalent( equivalent( X, Y ), equivalent(
% 0.72/1.14 equivalent( X, Z ), equivalent( Y, Z ) ) ) ), :=( Y, T )] ),
% 0.72/1.14 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 27, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( X, Y ), equivalent( equivalent( X, Z ),
% 0.72/1.14 equivalent( Y, Z ) ) ), T ) ) ) ] )
% 0.72/1.14 , clause( 3620, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X
% 0.72/1.14 , Y ), equivalent( equivalent( X, Z ), equivalent( Y, Z ) ) ), T ) ) ),
% 0.72/1.14 'is_a_theorem'( T ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.14 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3622, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.72/1.14 equivalent( Y, Z ) ), equivalent( X, equivalent( equivalent( Y, T ),
% 0.72/1.14 equivalent( Z, T ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.72/1.14 , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 0.72/1.14 ), ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.14 , 2, clause( 23, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y
% 0.72/1.14 , Z ) ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T
% 0.72/1.14 ) ) ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, equivalent( equivalent( X, equivalent( Y, Z
% 0.72/1.14 ) ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T ) )
% 0.72/1.14 ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 0.72/1.14 Z ), :=( T, T )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 30, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent( X,
% 0.72/1.14 equivalent( equivalent( Y, T ), equivalent( Z, T ) ) ) ), U ) ) ) ] )
% 0.72/1.14 , clause( 3622, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X
% 0.72/1.14 , equivalent( Y, Z ) ), equivalent( X, equivalent( equivalent( Y, T ),
% 0.72/1.14 equivalent( Z, T ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.14 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3623, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent(
% 0.72/1.14 equivalent( X, Z ), U ), equivalent( T, U ) ) ) ) ] )
% 0.72/1.14 , clause( 15, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y
% 0.72/1.14 ) ), T ), equivalent( equivalent( X, Z ), T ) ), U ) ) ) ] )
% 0.72/1.14 , 1, clause( 23, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y
% 0.72/1.14 , Z ) ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T
% 0.72/1.14 ) ) ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.72/1.14 :=( U, equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent(
% 0.72/1.14 Z, Y ) ), T ), equivalent( equivalent( equivalent( X, Z ), U ),
% 0.72/1.14 equivalent( T, U ) ) ) )] ), substitution( 1, [ :=( X, equivalent(
% 0.72/1.14 equivalent( equivalent( X, Y ), equivalent( Z, Y ) ), T ) ), :=( Y,
% 0.72/1.14 equivalent( X, Z ) ), :=( Z, T ), :=( T, U )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 55, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent(
% 0.72/1.14 equivalent( X, Z ), U ), equivalent( T, U ) ) ) ) ] )
% 0.72/1.14 , clause( 3623, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent(
% 0.72/1.14 equivalent( X, Z ), U ), equivalent( T, U ) ) ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.14 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3624, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), Z ), equivalent( T, Z ) ), equivalent( equivalent( X
% 0.72/1.14 , U ), equivalent( T, equivalent( U, Y ) ) ) ) ) ] )
% 0.72/1.14 , clause( 15, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y
% 0.72/1.14 ) ), T ), equivalent( equivalent( X, Z ), T ) ), U ) ) ) ] )
% 0.72/1.14 , 1, clause( 9, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent(
% 0.72/1.14 equivalent( X, U ), equivalent( Z, U ) ), T ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, U ), :=( T,
% 0.72/1.14 equivalent( T, equivalent( U, Y ) ) ), :=( U, equivalent( equivalent(
% 0.72/1.14 equivalent( equivalent( X, Y ), Z ), equivalent( T, Z ) ), equivalent(
% 0.72/1.14 equivalent( X, U ), equivalent( T, equivalent( U, Y ) ) ) ) )] ),
% 0.72/1.14 substitution( 1, [ :=( X, equivalent( X, Y ) ), :=( Y, equivalent( U, Y )
% 0.72/1.14 ), :=( Z, T ), :=( T, equivalent( equivalent( X, U ), equivalent( T,
% 0.72/1.14 equivalent( U, Y ) ) ) ), :=( U, Z )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 57, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), Z ), equivalent( T, Z ) ), equivalent( equivalent( X
% 0.72/1.14 , U ), equivalent( T, equivalent( U, Y ) ) ) ) ) ] )
% 0.72/1.14 , clause( 3624, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), Z ), equivalent( T, Z ) ), equivalent( equivalent( X
% 0.72/1.14 , U ), equivalent( T, equivalent( U, Y ) ) ) ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.14 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3625, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( T, equivalent( Z, U
% 0.72/1.14 ) ) ), equivalent( equivalent( X, U ), T ) ) ) ] )
% 0.72/1.14 , clause( 17, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y
% 0.72/1.14 ) ), T ), equivalent( equivalent( equivalent( X, U ), equivalent( Z, U )
% 0.72/1.14 ), T ) ), W ) ) ) ] )
% 0.72/1.14 , 1, clause( 14, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent(
% 0.72/1.14 equivalent( Y, Z ), equivalent( T, Z ) ) ), equivalent( X, equivalent( Y
% 0.72/1.14 , T ) ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 0.72/1.14 equivalent( T, equivalent( Z, U ) ) ), :=( U, U ), :=( W, equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y ) ),
% 0.72/1.14 equivalent( T, equivalent( Z, U ) ) ), equivalent( equivalent( X, U ), T
% 0.72/1.14 ) ) )] ), substitution( 1, [ :=( X, equivalent( equivalent( equivalent(
% 0.72/1.14 X, Y ), equivalent( Z, Y ) ), equivalent( T, equivalent( Z, U ) ) ) ),
% 0.72/1.14 :=( Y, equivalent( X, U ) ), :=( Z, equivalent( Z, U ) ), :=( T, T )] )
% 0.72/1.14 ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 90, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( T, equivalent( Z, U
% 0.72/1.14 ) ) ), equivalent( equivalent( X, U ), T ) ) ) ] )
% 0.72/1.14 , clause( 3625, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( T, equivalent( Z, U
% 0.72/1.14 ) ) ), equivalent( equivalent( X, U ), T ) ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.14 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3627, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( T,
% 0.72/1.14 equivalent( Z, U ) ) ), equivalent( equivalent( X, U ), T ) ), W ) ) ),
% 0.72/1.14 'is_a_theorem'( W ) ] )
% 0.72/1.14 , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 0.72/1.14 ), ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.14 , 2, clause( 90, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( T, equivalent( Z, U
% 0.72/1.14 ) ) ), equivalent( equivalent( X, U ), T ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( T, equivalent( Z, U
% 0.72/1.14 ) ) ), equivalent( equivalent( X, U ), T ) ) ), :=( Y, W )] ),
% 0.72/1.14 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.14 , U )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 92, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y
% 0.72/1.14 ) ), equivalent( T, equivalent( Z, U ) ) ), equivalent( equivalent( X, U
% 0.72/1.14 ), T ) ), W ) ) ) ] )
% 0.72/1.14 , clause( 3627, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( T,
% 0.72/1.14 equivalent( Z, U ) ) ), equivalent( equivalent( X, U ), T ) ), W ) ) ),
% 0.72/1.14 'is_a_theorem'( W ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.14 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3628, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), Z ), T ), equivalent( equivalent( equivalent( X, U )
% 0.72/1.14 , equivalent( Z, equivalent( U, Y ) ) ), T ) ) ) ] )
% 0.72/1.14 , clause( 15, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y
% 0.72/1.14 ) ), T ), equivalent( equivalent( X, Z ), T ) ), U ) ) ) ] )
% 0.72/1.14 , 1, clause( 55, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent(
% 0.72/1.14 equivalent( X, Z ), U ), equivalent( T, U ) ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, U ), :=( T,
% 0.72/1.14 equivalent( Z, equivalent( U, Y ) ) ), :=( U, equivalent( equivalent(
% 0.72/1.14 equivalent( equivalent( X, Y ), Z ), T ), equivalent( equivalent(
% 0.72/1.14 equivalent( X, U ), equivalent( Z, equivalent( U, Y ) ) ), T ) ) )] ),
% 0.72/1.14 substitution( 1, [ :=( X, equivalent( X, Y ) ), :=( Y, equivalent( U, Y )
% 0.72/1.14 ), :=( Z, Z ), :=( T, equivalent( equivalent( X, U ), equivalent( Z,
% 0.72/1.14 equivalent( U, Y ) ) ) ), :=( U, T )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 94, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), Z ), T ), equivalent( equivalent( equivalent( X, U )
% 0.72/1.14 , equivalent( Z, equivalent( U, Y ) ) ), T ) ) ) ] )
% 0.72/1.14 , clause( 3628, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), Z ), T ), equivalent( equivalent( equivalent( X, U )
% 0.72/1.14 , equivalent( Z, equivalent( U, Y ) ) ), T ) ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.14 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3629, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y )
% 0.72/1.14 , equivalent( Z, equivalent( Y, T ) ) ), equivalent( equivalent(
% 0.72/1.14 equivalent( X, T ), U ), equivalent( Z, U ) ) ) ) ] )
% 0.72/1.14 , clause( 27, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( X, Y ), equivalent( equivalent( X, Z ),
% 0.72/1.14 equivalent( Y, Z ) ) ), T ) ) ) ] )
% 0.72/1.14 , 1, clause( 94, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), Z ), T ), equivalent( equivalent( equivalent( X, U )
% 0.72/1.14 , equivalent( Z, equivalent( U, Y ) ) ), T ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, equivalent( X, T ) ), :=( Y, Z ), :=( Z, U )
% 0.72/1.14 , :=( T, equivalent( equivalent( equivalent( X, Y ), equivalent( Z,
% 0.72/1.14 equivalent( Y, T ) ) ), equivalent( equivalent( equivalent( X, T ), U ),
% 0.72/1.14 equivalent( Z, U ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, T ),
% 0.72/1.14 :=( Z, Z ), :=( T, equivalent( equivalent( equivalent( X, T ), U ),
% 0.72/1.14 equivalent( Z, U ) ) ), :=( U, Y )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 103, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ),
% 0.72/1.14 equivalent( Z, equivalent( Y, T ) ) ), equivalent( equivalent( equivalent(
% 0.72/1.14 X, T ), U ), equivalent( Z, U ) ) ) ) ] )
% 0.72/1.14 , clause( 3629, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.72/1.14 ), equivalent( Z, equivalent( Y, T ) ) ), equivalent( equivalent(
% 0.72/1.14 equivalent( X, T ), U ), equivalent( Z, U ) ) ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.14 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3630, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y )
% 0.72/1.14 , equivalent( equivalent( Z, T ), equivalent( Y, T ) ) ), equivalent( X,
% 0.72/1.14 Z ) ) ) ] )
% 0.72/1.14 , clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y ) ),
% 0.72/1.14 equivalent( X, Z ) ), T ) ) ) ] )
% 0.72/1.14 , 1, clause( 94, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), Z ), T ), equivalent( equivalent( equivalent( X, U )
% 0.72/1.14 , equivalent( Z, equivalent( U, Y ) ) ), T ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Z ), :=( T,
% 0.72/1.14 equivalent( equivalent( equivalent( X, Y ), equivalent( equivalent( Z, T
% 0.72/1.14 ), equivalent( Y, T ) ) ), equivalent( X, Z ) ) )] ), substitution( 1, [
% 0.72/1.14 :=( X, X ), :=( Y, T ), :=( Z, equivalent( Z, T ) ), :=( T, equivalent(
% 0.72/1.14 X, Z ) ), :=( U, Y )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 106, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ),
% 0.72/1.14 equivalent( equivalent( Z, T ), equivalent( Y, T ) ) ), equivalent( X, Z
% 0.72/1.14 ) ) ) ] )
% 0.72/1.14 , clause( 3630, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 0.72/1.14 ), equivalent( equivalent( Z, T ), equivalent( Y, T ) ) ), equivalent( X
% 0.72/1.14 , Z ) ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3631, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, Y
% 0.72/1.14 ) ), X ) ) ] )
% 0.72/1.14 , clause( 30, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent( X,
% 0.72/1.14 equivalent( equivalent( Y, T ), equivalent( Z, T ) ) ) ), U ) ) ) ] )
% 0.72/1.14 , 1, clause( 106, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.72/1.14 Y ), equivalent( equivalent( Z, T ), equivalent( Y, T ) ) ), equivalent(
% 0.72/1.14 X, Z ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, equivalent( X, equivalent( Y, Y ) ) ), :=( Y
% 0.72/1.14 , Z ), :=( Z, Y ), :=( T, Y ), :=( U, equivalent( equivalent( X,
% 0.72/1.14 equivalent( Y, Y ) ), X ) )] ), substitution( 1, [ :=( X, equivalent( X,
% 0.72/1.14 equivalent( Y, Y ) ) ), :=( Y, equivalent( Z, Y ) ), :=( Z, X ), :=( T,
% 0.72/1.14 equivalent( Y, Y ) )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 202, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, Y
% 0.72/1.14 ) ), X ) ) ] )
% 0.72/1.14 , clause( 3631, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y
% 0.72/1.14 , Y ) ), X ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.14 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3633, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.72/1.14 equivalent( Y, Y ) ), X ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.72/1.14 , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 0.72/1.14 ), ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.14 , 2, clause( 202, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent(
% 0.72/1.14 Y, Y ) ), X ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, equivalent( equivalent( X, equivalent( Y, Y
% 0.72/1.14 ) ), X ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.72/1.14 ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 214, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( X, equivalent( Y, Y ) ), X ), Z ) ) ) ] )
% 0.72/1.14 , clause( 3633, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X
% 0.72/1.14 , equivalent( Y, Y ) ), X ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.14 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3634, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, equivalent( equivalent( Y, Y ), Z ) ), Z ), T ),
% 0.72/1.14 equivalent( X, T ) ) ) ] )
% 0.72/1.14 , clause( 214, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( X, equivalent( Y, Y ) ), X ), Z ) ) ) ] )
% 0.72/1.14 , 1, clause( 103, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.72/1.14 Y ), equivalent( Z, equivalent( Y, T ) ) ), equivalent( equivalent(
% 0.72/1.14 equivalent( X, T ), U ), equivalent( Z, U ) ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, equivalent( X, equivalent( equivalent( Y, Y
% 0.72/1.14 ), Z ) ) ), :=( Y, Y ), :=( Z, equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, equivalent( equivalent( Y, Y ), Z ) ), Z ), T ),
% 0.72/1.14 equivalent( X, T ) ) )] ), substitution( 1, [ :=( X, equivalent( X,
% 0.72/1.14 equivalent( equivalent( Y, Y ), Z ) ) ), :=( Y, equivalent( Y, Y ) ),
% 0.72/1.14 :=( Z, X ), :=( T, Z ), :=( U, T )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 403, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, equivalent( equivalent( Y, Y ), Z ) ), Z ), T ),
% 0.72/1.14 equivalent( X, T ) ) ) ] )
% 0.72/1.14 , clause( 3634, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, equivalent( equivalent( Y, Y ), Z ) ), Z ), T ),
% 0.72/1.14 equivalent( X, T ) ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3635, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y,
% 0.72/1.14 equivalent( equivalent( Z, Z ), T ) ) ), equivalent( equivalent( X, T ),
% 0.72/1.14 Y ) ) ) ] )
% 0.72/1.14 , clause( 92, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y
% 0.72/1.14 ) ), equivalent( T, equivalent( Z, U ) ) ), equivalent( equivalent( X, U
% 0.72/1.14 ), T ) ), W ) ) ) ] )
% 0.72/1.14 , 1, clause( 403, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, equivalent( equivalent( Y, Y ), Z ) ), Z ), T ),
% 0.72/1.14 equivalent( X, T ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, equivalent( Y, equivalent(
% 0.72/1.14 equivalent( Z, Z ), T ) ) ), :=( Z, equivalent( Z, Z ) ), :=( T, Y ),
% 0.72/1.14 :=( U, T ), :=( W, equivalent( equivalent( X, equivalent( Y, equivalent(
% 0.72/1.14 equivalent( Z, Z ), T ) ) ), equivalent( equivalent( X, T ), Y ) ) )] ),
% 0.72/1.14 substitution( 1, [ :=( X, equivalent( X, equivalent( Y, equivalent(
% 0.72/1.14 equivalent( Z, Z ), T ) ) ) ), :=( Y, Z ), :=( Z, equivalent( Y,
% 0.72/1.14 equivalent( equivalent( Z, Z ), T ) ) ), :=( T, equivalent( equivalent( X
% 0.72/1.14 , T ), Y ) )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 2402, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y,
% 0.72/1.14 equivalent( equivalent( Z, Z ), T ) ) ), equivalent( equivalent( X, T ),
% 0.72/1.14 Y ) ) ) ] )
% 0.72/1.14 , clause( 3635, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y
% 0.72/1.14 , equivalent( equivalent( Z, Z ), T ) ) ), equivalent( equivalent( X, T )
% 0.72/1.14 , Y ) ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3636, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.72/1.14 equivalent( Y, Z ) ), equivalent( Z, Y ) ), X ) ) ] )
% 0.72/1.14 , clause( 30, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent( X,
% 0.72/1.14 equivalent( equivalent( Y, T ), equivalent( Z, T ) ) ) ), U ) ) ) ] )
% 0.72/1.14 , 1, clause( 2402, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent(
% 0.72/1.14 Y, equivalent( equivalent( Z, Z ), T ) ) ), equivalent( equivalent( X, T
% 0.72/1.14 ), Y ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y ),
% 0.72/1.14 :=( U, equivalent( equivalent( equivalent( X, equivalent( Y, Z ) ),
% 0.72/1.14 equivalent( Z, Y ) ), X ) )] ), substitution( 1, [ :=( X, equivalent( X,
% 0.72/1.14 equivalent( Y, Z ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, equivalent( Z, Y )
% 0.72/1.14 )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 2462, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.72/1.14 equivalent( Y, Z ) ), equivalent( Z, Y ) ), X ) ) ] )
% 0.72/1.14 , clause( 3636, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.72/1.14 equivalent( Y, Z ) ), equivalent( Z, Y ) ), X ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3638, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, equivalent( Y, Z ) ), equivalent( Z, Y ) ), X ), T ) ) ),
% 0.72/1.14 'is_a_theorem'( T ) ] )
% 0.72/1.14 , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 0.72/1.14 ), ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.14 , 2, clause( 2462, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X
% 0.72/1.14 , equivalent( Y, Z ) ), equivalent( Z, Y ) ), X ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, equivalent( equivalent( equivalent( X,
% 0.72/1.14 equivalent( Y, Z ) ), equivalent( Z, Y ) ), X ) ), :=( Y, T )] ),
% 0.72/1.14 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 2466, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent(
% 0.72/1.14 Z, Y ) ), X ), T ) ) ) ] )
% 0.72/1.14 , clause( 3638, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, equivalent( Y, Z ) ), equivalent( Z, Y ) ), X ), T ) ) ),
% 0.72/1.14 'is_a_theorem'( T ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.14 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3639, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.72/1.14 equivalent( Y, Z ) ), T ), equivalent( X, equivalent( T, equivalent( Z, Y
% 0.72/1.14 ) ) ) ) ) ] )
% 0.72/1.14 , clause( 2466, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent(
% 0.72/1.14 Z, Y ) ), X ), T ) ) ) ] )
% 0.72/1.14 , 1, clause( 57, [ 'is_a_theorem'( equivalent( equivalent( equivalent(
% 0.72/1.14 equivalent( X, Y ), Z ), equivalent( T, Z ) ), equivalent( equivalent( X
% 0.72/1.14 , U ), equivalent( T, equivalent( U, Y ) ) ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, equivalent( X, equivalent( Y, Z ) ) ), :=( Y
% 0.72/1.14 , Z ), :=( Z, Y ), :=( T, equivalent( equivalent( equivalent( X,
% 0.72/1.14 equivalent( Y, Z ) ), T ), equivalent( X, equivalent( T, equivalent( Z, Y
% 0.72/1.14 ) ) ) ) )] ), substitution( 1, [ :=( X, equivalent( X, equivalent( Y, Z
% 0.72/1.14 ) ) ), :=( Y, equivalent( Z, Y ) ), :=( Z, equivalent( Y, Z ) ), :=( T,
% 0.72/1.14 X ), :=( U, T )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 3255, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.72/1.14 equivalent( Y, Z ) ), T ), equivalent( X, equivalent( T, equivalent( Z, Y
% 0.72/1.14 ) ) ) ) ) ] )
% 0.72/1.14 , clause( 3639, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X,
% 0.72/1.14 equivalent( Y, Z ) ), T ), equivalent( X, equivalent( T, equivalent( Z, Y
% 0.72/1.14 ) ) ) ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3640, [ 'is_a_theorem'( equivalent( X, equivalent( X, equivalent(
% 0.72/1.14 equivalent( Y, Z ), equivalent( equivalent( Y, T ), equivalent( Z, T ) )
% 0.72/1.14 ) ) ) ) ] )
% 0.72/1.14 , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent(
% 0.72/1.14 equivalent( equivalent( X, equivalent( equivalent( equivalent( Y, Z ),
% 0.72/1.14 equivalent( T, Z ) ), equivalent( Y, T ) ) ), X ), U ) ) ) ] )
% 0.72/1.14 , 1, clause( 3255, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X
% 0.72/1.14 , equivalent( Y, Z ) ), T ), equivalent( X, equivalent( T, equivalent( Z
% 0.72/1.14 , Y ) ) ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z ),
% 0.72/1.14 :=( U, equivalent( X, equivalent( X, equivalent( equivalent( Y, Z ),
% 0.72/1.14 equivalent( equivalent( Y, T ), equivalent( Z, T ) ) ) ) ) )] ),
% 0.72/1.14 substitution( 1, [ :=( X, X ), :=( Y, equivalent( equivalent( Y, T ),
% 0.72/1.14 equivalent( Z, T ) ) ), :=( Z, equivalent( Y, Z ) ), :=( T, X )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 3277, [ 'is_a_theorem'( equivalent( X, equivalent( X, equivalent(
% 0.72/1.14 equivalent( Y, Z ), equivalent( equivalent( Y, T ), equivalent( Z, T ) )
% 0.72/1.14 ) ) ) ) ] )
% 0.72/1.14 , clause( 3640, [ 'is_a_theorem'( equivalent( X, equivalent( X, equivalent(
% 0.72/1.14 equivalent( Y, Z ), equivalent( equivalent( Y, T ), equivalent( Z, T ) )
% 0.72/1.14 ) ) ) ) ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 3641, [] )
% 0.72/1.14 , clause( 2, [ ~( 'is_a_theorem'( equivalent( a, equivalent( a, equivalent(
% 0.72/1.14 equivalent( b, c ), equivalent( equivalent( b, e ), equivalent( c, e ) )
% 0.72/1.14 ) ) ) ) ) ] )
% 0.72/1.14 , 0, clause( 3277, [ 'is_a_theorem'( equivalent( X, equivalent( X,
% 0.72/1.14 equivalent( equivalent( Y, Z ), equivalent( equivalent( Y, T ),
% 0.72/1.14 equivalent( Z, T ) ) ) ) ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 0.72/1.14 Z, c ), :=( T, e )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 3592, [] )
% 0.72/1.14 , clause( 3641, [] )
% 0.72/1.14 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 end.
% 0.72/1.14
% 0.72/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.14
% 0.72/1.14 Memory use:
% 0.72/1.14
% 0.72/1.14 space for terms: 89926
% 0.72/1.14 space for clauses: 400696
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 clauses generated: 8723
% 0.72/1.14 clauses kept: 3593
% 0.72/1.14 clauses selected: 346
% 0.72/1.14 clauses deleted: 5
% 0.72/1.14 clauses inuse deleted: 3
% 0.72/1.14
% 0.72/1.14 subsentry: 5574
% 0.72/1.14 literals s-matched: 5135
% 0.72/1.14 literals matched: 5135
% 0.72/1.14 full subsumption: 0
% 0.72/1.14
% 0.72/1.14 checksum: 85322634
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Bliksem ended
%------------------------------------------------------------------------------