TSTP Solution File: LCL026-10 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL026-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 07:49:22 EDT 2022
% Result : Unsatisfiable 1.71s 4.64s
% Output : Refutation 1.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/1.43 % Problem : LCL026-10 : TPTP v8.1.0. Released v7.3.0.
% 0.12/1.44 % Command : bliksem %s
% 0.17/2.57 % Computer : n004.cluster.edu
% 0.17/2.57 % Model : x86_64 x86_64
% 0.17/2.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/2.57 % Memory : 8042.1875MB
% 0.17/2.57 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/2.57 % CPULimit : 300
% 0.17/2.57 % DateTime : Mon Jul 4 13:46:03 EDT 2022
% 0.17/2.57 % CPUTime :
% 1.71/4.64 *** allocated 10000 integers for termspace/termends
% 1.71/4.64 *** allocated 10000 integers for clauses
% 1.71/4.64 *** allocated 10000 integers for justifications
% 1.71/4.64 Bliksem 1.12
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 Automatic Strategy Selection
% 1.71/4.64
% 1.71/4.64 Clauses:
% 1.71/4.64 [
% 1.71/4.64 [ =( ifeq( X, X, Y, Z ), Y ) ],
% 1.71/4.64 [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq( 'is_a_theorem'(
% 1.71/4.64 X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ],
% 1.71/4.64 [ =( 'is_a_theorem'( implies( X, implies( Y, X ) ) ), true ) ],
% 1.71/4.64 [ =( 'is_a_theorem'( implies( implies( implies( X, falsehood ),
% 1.71/4.64 falsehood ), X ) ), true ) ],
% 1.71/4.64 [ =( 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ), implies(
% 1.71/4.64 implies( X, Y ), implies( X, Z ) ) ) ), true ) ],
% 1.71/4.64 [ ~( =( 'is_a_theorem'( implies( implies( implies( a, b ), a ), a ) ),
% 1.71/4.64 true ) ) ]
% 1.71/4.64 ] .
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 percentage equality = 1.000000, percentage horn = 1.000000
% 1.71/4.64 This is a pure equality problem
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 Options Used:
% 1.71/4.64
% 1.71/4.64 useres = 1
% 1.71/4.64 useparamod = 1
% 1.71/4.64 useeqrefl = 1
% 1.71/4.64 useeqfact = 1
% 1.71/4.64 usefactor = 1
% 1.71/4.64 usesimpsplitting = 0
% 1.71/4.64 usesimpdemod = 5
% 1.71/4.64 usesimpres = 3
% 1.71/4.64
% 1.71/4.64 resimpinuse = 1000
% 1.71/4.64 resimpclauses = 20000
% 1.71/4.64 substype = eqrewr
% 1.71/4.64 backwardsubs = 1
% 1.71/4.64 selectoldest = 5
% 1.71/4.64
% 1.71/4.64 litorderings [0] = split
% 1.71/4.64 litorderings [1] = extend the termordering, first sorting on arguments
% 1.71/4.64
% 1.71/4.64 termordering = kbo
% 1.71/4.64
% 1.71/4.64 litapriori = 0
% 1.71/4.64 termapriori = 1
% 1.71/4.64 litaposteriori = 0
% 1.71/4.64 termaposteriori = 0
% 1.71/4.64 demodaposteriori = 0
% 1.71/4.64 ordereqreflfact = 0
% 1.71/4.64
% 1.71/4.64 litselect = negord
% 1.71/4.64
% 1.71/4.64 maxweight = 15
% 1.71/4.64 maxdepth = 30000
% 1.71/4.64 maxlength = 115
% 1.71/4.64 maxnrvars = 195
% 1.71/4.64 excuselevel = 1
% 1.71/4.64 increasemaxweight = 1
% 1.71/4.64
% 1.71/4.64 maxselected = 10000000
% 1.71/4.64 maxnrclauses = 10000000
% 1.71/4.64
% 1.71/4.64 showgenerated = 0
% 1.71/4.64 showkept = 0
% 1.71/4.64 showselected = 0
% 1.71/4.64 showdeleted = 0
% 1.71/4.64 showresimp = 1
% 1.71/4.64 showstatus = 2000
% 1.71/4.64
% 1.71/4.64 prologoutput = 1
% 1.71/4.64 nrgoals = 5000000
% 1.71/4.64 totalproof = 1
% 1.71/4.64
% 1.71/4.64 Symbols occurring in the translation:
% 1.71/4.64
% 1.71/4.64 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.71/4.64 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 1.71/4.64 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 1.71/4.64 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.71/4.64 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.71/4.64 ifeq [42, 4] (w:1, o:51, a:1, s:1, b:0),
% 1.71/4.64 implies [45, 2] (w:1, o:50, a:1, s:1, b:0),
% 1.71/4.64 'is_a_theorem' [46, 1] (w:1, o:24, a:1, s:1, b:0),
% 1.71/4.64 true [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.71/4.64 falsehood [48, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.71/4.64 a [50, 0] (w:1, o:17, a:1, s:1, b:0),
% 1.71/4.64 b [51, 0] (w:1, o:18, a:1, s:1, b:0).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 Starting Search:
% 1.71/4.64
% 1.71/4.64 Resimplifying inuse:
% 1.71/4.64 Done
% 1.71/4.64
% 1.71/4.64 Failed to find proof!
% 1.71/4.64 maxweight = 15
% 1.71/4.64 maxnrclauses = 10000000
% 1.71/4.64 Generated: 8486
% 1.71/4.64 Kept: 120
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 The strategy used was not complete!
% 1.71/4.64
% 1.71/4.64 Increased maxweight to 16
% 1.71/4.64
% 1.71/4.64 Starting Search:
% 1.71/4.64
% 1.71/4.64 Resimplifying inuse:
% 1.71/4.64 Done
% 1.71/4.64
% 1.71/4.64 Failed to find proof!
% 1.71/4.64 maxweight = 16
% 1.71/4.64 maxnrclauses = 10000000
% 1.71/4.64 Generated: 23383
% 1.71/4.64 Kept: 190
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 The strategy used was not complete!
% 1.71/4.64
% 1.71/4.64 Increased maxweight to 17
% 1.71/4.64
% 1.71/4.64 Starting Search:
% 1.71/4.64
% 1.71/4.64 Resimplifying inuse:
% 1.71/4.64 Done
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 Bliksems!, er is een bewijs:
% 1.71/4.64 % SZS status Unsatisfiable
% 1.71/4.64 % SZS output start Refutation
% 1.71/4.64
% 1.71/4.64 clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 1.71/4.64 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 .
% 1.71/4.64 clause( 2, [ =( 'is_a_theorem'( implies( X, implies( Y, X ) ) ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 .
% 1.71/4.64 clause( 3, [ =( 'is_a_theorem'( implies( implies( implies( X, falsehood ),
% 1.71/4.64 falsehood ), X ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 4, [ =( 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.71/4.64 implies( implies( X, Y ), implies( X, Z ) ) ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 5, [ ~( =( 'is_a_theorem'( implies( implies( implies( a, b ), a ),
% 1.71/4.64 a ) ), true ) ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 9, [ =( ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( implies( Y
% 1.71/4.64 , X ) ), true ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 10, [ =( ifeq( 'is_a_theorem'( implies( implies( X, implies( Y, X )
% 1.71/4.64 ), Z ) ), true, 'is_a_theorem'( Z ), true ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 12, [ =( ifeq( 'is_a_theorem'( implies( X, implies( Y, Z ) ) ),
% 1.71/4.64 true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z ) ) ), true
% 1.71/4.64 ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 13, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( X,
% 1.71/4.64 implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z ) ) ), T ) ),
% 1.71/4.64 true, 'is_a_theorem'( T ), true ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 16, [ =( 'is_a_theorem'( implies( Y, implies( implies( implies( X,
% 1.71/4.64 falsehood ), falsehood ), X ) ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 18, [ =( 'is_a_theorem'( implies( Z, implies( X, implies( Y, X ) )
% 1.71/4.64 ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 20, [ =( ifeq( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.71/4.64 implies( Z, Y ) ) ), T ) ), true, 'is_a_theorem'( T ), true ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 .
% 1.71/4.64 clause( 35, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies( X, X )
% 1.71/4.64 ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 36, [ =( 'is_a_theorem'( implies( X, X ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 44, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 1.71/4.64 implies( implies( X, Y ), Y ) ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 45, [ =( 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 1.71/4.64 falsehood ), falsehood ) ), implies( X, Y ) ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 66, [ =( 'is_a_theorem'( implies( Z, implies( implies( implies( X,
% 1.71/4.64 Y ), X ), implies( implies( X, Y ), Y ) ) ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 75, [ =( 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 1.71/4.64 X ) ), Z ), Z ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 77, [ =( 'is_a_theorem'( implies( T, implies( implies( implies( X,
% 1.71/4.64 implies( Y, X ) ), Z ), Z ) ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 82, [ =( 'is_a_theorem'( implies( falsehood, X ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 85, [ =( ifeq( 'is_a_theorem'( implies( X, implies( implies( Y,
% 1.71/4.64 falsehood ), falsehood ) ) ), true, 'is_a_theorem'( implies( X, Y ) ),
% 1.71/4.64 true ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 88, [ =( 'is_a_theorem'( implies( Y, implies( falsehood, X ) ) ),
% 1.71/4.64 true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 92, [ =( 'is_a_theorem'( implies( implies( X, falsehood ), implies(
% 1.71/4.64 X, Y ) ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 95, [ =( 'is_a_theorem'( implies( implies( implies( X, falsehood )
% 1.71/4.64 , X ), implies( implies( X, falsehood ), Y ) ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 97, [ =( 'is_a_theorem'( implies( Z, implies( implies( X, falsehood
% 1.71/4.64 ), implies( X, Y ) ) ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 107, [ =( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.71/4.64 falsehood ) ), implies( X, implies( Y, Z ) ) ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 117, [ =( ifeq( 'is_a_theorem'( implies( X, implies( Y, falsehood )
% 1.71/4.64 ) ), true, 'is_a_theorem'( implies( X, implies( Y, Z ) ) ), true ), true
% 1.71/4.64 ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 207, [ =( 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 1.71/4.64 , implies( Z, Y ) ), T ) ), implies( X, T ) ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 353, [ =( 'is_a_theorem'( implies( implies( implies( X, falsehood )
% 1.71/4.64 , X ), X ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 360, [ =( ifeq( 'is_a_theorem'( implies( implies( X, falsehood ), X
% 1.71/4.64 ) ), true, 'is_a_theorem'( X ), true ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 506, [ =( 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 1.71/4.64 , X ), Z ) ), implies( X, Z ) ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 510, [ =( 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 1.71/4.64 , X ), falsehood ) ), implies( X, Z ) ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 514, [ =( ifeq( 'is_a_theorem'( implies( X, implies( implies( Y, X
% 1.71/4.64 ), Z ) ) ), true, 'is_a_theorem'( implies( X, Z ) ), true ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 516, [ =( 'is_a_theorem'( implies( T, implies( implies( X, implies(
% 1.71/4.64 implies( Y, X ), falsehood ) ), implies( X, Z ) ) ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 549, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.71/4.64 falsehood ), implies( Y, Z ) ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 551, [ =( 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 1.71/4.64 ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 565, [ =( 'is_a_theorem'( implies( Z, implies( X, implies( implies(
% 1.71/4.64 X, Y ), Y ) ) ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 589, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 1.71/4.64 implies( implies( Y, Z ), Z ) ) ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 670, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 1.71/4.64 'is_a_theorem'( implies( X, implies( implies( Y, Z ), Z ) ) ), true ),
% 1.71/4.64 true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 1059, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.71/4.64 falsehood ), implies( implies( implies( Y, Z ), T ), T ) ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 1080, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 1.71/4.64 X ) ), true ) ] )
% 1.71/4.64 .
% 1.71/4.64 clause( 1081, [] )
% 1.71/4.64 .
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 % SZS output end Refutation
% 1.71/4.64 found a proof!
% 1.71/4.64
% 1.71/4.64 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.71/4.64
% 1.71/4.64 initialclauses(
% 1.71/4.64 [ clause( 1083, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , clause( 1084, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 1.71/4.64 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , clause( 1085, [ =( 'is_a_theorem'( implies( X, implies( Y, X ) ) ), true
% 1.71/4.64 ) ] )
% 1.71/4.64 , clause( 1086, [ =( 'is_a_theorem'( implies( implies( implies( X,
% 1.71/4.64 falsehood ), falsehood ), X ) ), true ) ] )
% 1.71/4.64 , clause( 1087, [ =( 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 1.71/4.64 , implies( implies( X, Y ), implies( X, Z ) ) ) ), true ) ] )
% 1.71/4.64 , clause( 1088, [ ~( =( 'is_a_theorem'( implies( implies( implies( a, b ),
% 1.71/4.64 a ), a ) ), true ) ) ] )
% 1.71/4.64 ] ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , clause( 1083, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.71/4.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 1.71/4.64 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , clause( 1084, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 1.71/4.64 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.71/4.64 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 2, [ =( 'is_a_theorem'( implies( X, implies( Y, X ) ) ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , clause( 1085, [ =( 'is_a_theorem'( implies( X, implies( Y, X ) ) ), true
% 1.71/4.64 ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.71/4.64 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 3, [ =( 'is_a_theorem'( implies( implies( implies( X, falsehood ),
% 1.71/4.64 falsehood ), X ) ), true ) ] )
% 1.71/4.64 , clause( 1086, [ =( 'is_a_theorem'( implies( implies( implies( X,
% 1.71/4.64 falsehood ), falsehood ), X ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 4, [ =( 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.71/4.64 implies( implies( X, Y ), implies( X, Z ) ) ) ), true ) ] )
% 1.71/4.64 , clause( 1087, [ =( 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 1.71/4.64 , implies( implies( X, Y ), implies( X, Z ) ) ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.71/4.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 5, [ ~( =( 'is_a_theorem'( implies( implies( implies( a, b ), a ),
% 1.71/4.64 a ) ), true ) ) ] )
% 1.71/4.64 , clause( 1088, [ ~( =( 'is_a_theorem'( implies( implies( implies( a, b ),
% 1.71/4.64 a ), a ) ), true ) ) ] )
% 1.71/4.64 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1111, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 1.71/4.64 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 1.71/4.64 )
% 1.71/4.64 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 1.71/4.64 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1113, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'( X ), true
% 1.71/4.64 , 'is_a_theorem'( implies( Y, X ) ), true ), true ) ) ] )
% 1.71/4.64 , clause( 2, [ =( 'is_a_theorem'( implies( X, implies( Y, X ) ) ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , 0, clause( 1111, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true
% 1.71/4.64 , ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) )
% 1.71/4.64 ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.71/4.64 :=( X, X ), :=( Y, implies( Y, X ) )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1118, [ =( true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'(
% 1.71/4.64 implies( Y, X ) ), true ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1113, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'( X ),
% 1.71/4.64 true, 'is_a_theorem'( implies( Y, X ) ), true ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( 'is_a_theorem'( X )
% 1.71/4.64 , true, 'is_a_theorem'( implies( Y, X ) ), true ) ), :=( Z, true )] ),
% 1.71/4.64 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1119, [ =( ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( implies(
% 1.71/4.64 Y, X ) ), true ), true ) ] )
% 1.71/4.64 , clause( 1118, [ =( true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'(
% 1.71/4.64 implies( Y, X ) ), true ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 9, [ =( ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( implies( Y
% 1.71/4.64 , X ) ), true ), true ) ] )
% 1.71/4.64 , clause( 1119, [ =( ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'(
% 1.71/4.64 implies( Y, X ) ), true ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.71/4.64 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1121, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 1.71/4.64 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 1.71/4.64 )
% 1.71/4.64 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 1.71/4.64 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1124, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X, implies(
% 1.71/4.64 Y, X ) ), Z ) ), true, ifeq( true, true, 'is_a_theorem'( Z ), true ),
% 1.71/4.64 true ) ) ] )
% 1.71/4.64 , clause( 2, [ =( 'is_a_theorem'( implies( X, implies( Y, X ) ) ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , 0, clause( 1121, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true
% 1.71/4.64 , ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) )
% 1.71/4.64 ] )
% 1.71/4.64 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.71/4.64 :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1126, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X, implies(
% 1.71/4.64 Y, X ) ), Z ) ), true, 'is_a_theorem'( Z ), true ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1124, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X,
% 1.71/4.64 implies( Y, X ) ), Z ) ), true, ifeq( true, true, 'is_a_theorem'( Z ),
% 1.71/4.64 true ), true ) ) ] )
% 1.71/4.64 , 0, 12, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( Z ) ),
% 1.71/4.64 :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 1.71/4.64 ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1127, [ =( ifeq( 'is_a_theorem'( implies( implies( X, implies( Y, X
% 1.71/4.64 ) ), Z ) ), true, 'is_a_theorem'( Z ), true ), true ) ] )
% 1.71/4.64 , clause( 1126, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X,
% 1.71/4.64 implies( Y, X ) ), Z ) ), true, 'is_a_theorem'( Z ), true ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 10, [ =( ifeq( 'is_a_theorem'( implies( implies( X, implies( Y, X )
% 1.71/4.64 ), Z ) ), true, 'is_a_theorem'( Z ), true ), true ) ] )
% 1.71/4.64 , clause( 1127, [ =( ifeq( 'is_a_theorem'( implies( implies( X, implies( Y
% 1.71/4.64 , X ) ), Z ) ), true, 'is_a_theorem'( Z ), true ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.71/4.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1129, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 1.71/4.64 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 1.71/4.64 )
% 1.71/4.64 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 1.71/4.64 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1131, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'( implies( X
% 1.71/4.64 , implies( Y, Z ) ) ), true, 'is_a_theorem'( implies( implies( X, Y ),
% 1.71/4.64 implies( X, Z ) ) ), true ), true ) ) ] )
% 1.71/4.64 , clause( 4, [ =( 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.71/4.64 implies( implies( X, Y ), implies( X, Z ) ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1129, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true
% 1.71/4.64 , ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) )
% 1.71/4.64 ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.71/4.64 substitution( 1, [ :=( X, implies( X, implies( Y, Z ) ) ), :=( Y, implies(
% 1.71/4.64 implies( X, Y ), implies( X, Z ) ) )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1136, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( Y, Z )
% 1.71/4.64 ) ), true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z ) ) )
% 1.71/4.64 , true ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1131, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'(
% 1.71/4.64 implies( X, implies( Y, Z ) ) ), true, 'is_a_theorem'( implies( implies(
% 1.71/4.64 X, Y ), implies( X, Z ) ) ), true ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( 'is_a_theorem'(
% 1.71/4.64 implies( X, implies( Y, Z ) ) ), true, 'is_a_theorem'( implies( implies(
% 1.71/4.64 X, Y ), implies( X, Z ) ) ), true ) ), :=( Z, true )] ), substitution( 1
% 1.71/4.64 , [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1137, [ =( ifeq( 'is_a_theorem'( implies( X, implies( Y, Z ) ) ),
% 1.71/4.64 true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z ) ) ), true
% 1.71/4.64 ), true ) ] )
% 1.71/4.64 , clause( 1136, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( Y, Z
% 1.71/4.64 ) ) ), true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z ) )
% 1.71/4.64 ), true ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 12, [ =( ifeq( 'is_a_theorem'( implies( X, implies( Y, Z ) ) ),
% 1.71/4.64 true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z ) ) ), true
% 1.71/4.64 ), true ) ] )
% 1.71/4.64 , clause( 1137, [ =( ifeq( 'is_a_theorem'( implies( X, implies( Y, Z ) ) )
% 1.71/4.64 , true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z ) ) ),
% 1.71/4.64 true ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.71/4.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1139, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 1.71/4.64 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 1.71/4.64 )
% 1.71/4.64 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 1.71/4.64 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1142, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies( X
% 1.71/4.64 , implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z ) ) ), T ) )
% 1.71/4.64 , true, ifeq( true, true, 'is_a_theorem'( T ), true ), true ) ) ] )
% 1.71/4.64 , clause( 4, [ =( 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.71/4.64 implies( implies( X, Y ), implies( X, Z ) ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1139, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true
% 1.71/4.64 , ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) )
% 1.71/4.64 ] )
% 1.71/4.64 , 0, 21, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.71/4.64 substitution( 1, [ :=( X, implies( implies( X, implies( Y, Z ) ), implies(
% 1.71/4.64 implies( X, Y ), implies( X, Z ) ) ) ), :=( Y, T )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1144, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies( X
% 1.71/4.64 , implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z ) ) ), T ) )
% 1.71/4.64 , true, 'is_a_theorem'( T ), true ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1142, [ =( true, ifeq( 'is_a_theorem'( implies( implies(
% 1.71/4.64 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 1.71/4.64 ) ), T ) ), true, ifeq( true, true, 'is_a_theorem'( T ), true ), true )
% 1.71/4.64 ) ] )
% 1.71/4.64 , 0, 20, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( T ) ),
% 1.71/4.64 :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 1.71/4.64 :=( T, T )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1145, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( X,
% 1.71/4.64 implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z ) ) ), T ) ),
% 1.71/4.64 true, 'is_a_theorem'( T ), true ), true ) ] )
% 1.71/4.64 , clause( 1144, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 1.71/4.64 X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z ) ) ), T )
% 1.71/4.64 ), true, 'is_a_theorem'( T ), true ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.71/4.64 ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 13, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( X,
% 1.71/4.64 implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z ) ) ), T ) ),
% 1.71/4.64 true, 'is_a_theorem'( T ), true ), true ) ] )
% 1.71/4.64 , clause( 1145, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( X,
% 1.71/4.64 implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z ) ) ), T ) ),
% 1.71/4.64 true, 'is_a_theorem'( T ), true ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.71/4.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1147, [ =( true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'(
% 1.71/4.64 implies( Y, X ) ), true ) ) ] )
% 1.71/4.64 , clause( 9, [ =( ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( implies(
% 1.71/4.64 Y, X ) ), true ), true ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1149, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( Y,
% 1.71/4.64 implies( implies( implies( X, falsehood ), falsehood ), X ) ) ), true ) )
% 1.71/4.64 ] )
% 1.71/4.64 , clause( 3, [ =( 'is_a_theorem'( implies( implies( implies( X, falsehood )
% 1.71/4.64 , falsehood ), X ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1147, [ =( true, ifeq( 'is_a_theorem'( X ), true,
% 1.71/4.64 'is_a_theorem'( implies( Y, X ) ), true ) ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, implies(
% 1.71/4.64 implies( implies( X, falsehood ), falsehood ), X ) ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1151, [ =( true, 'is_a_theorem'( implies( X, implies( implies(
% 1.71/4.64 implies( Y, falsehood ), falsehood ), Y ) ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1149, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( Y
% 1.71/4.64 , implies( implies( implies( X, falsehood ), falsehood ), X ) ) ), true )
% 1.71/4.64 ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies( X
% 1.71/4.64 , implies( implies( implies( Y, falsehood ), falsehood ), Y ) ) ) ), :=(
% 1.71/4.64 Z, true )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1152, [ =( 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 1.71/4.64 , falsehood ), falsehood ), Y ) ) ), true ) ] )
% 1.71/4.64 , clause( 1151, [ =( true, 'is_a_theorem'( implies( X, implies( implies(
% 1.71/4.64 implies( Y, falsehood ), falsehood ), Y ) ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 16, [ =( 'is_a_theorem'( implies( Y, implies( implies( implies( X,
% 1.71/4.64 falsehood ), falsehood ), X ) ) ), true ) ] )
% 1.71/4.64 , clause( 1152, [ =( 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.71/4.64 Y, falsehood ), falsehood ), Y ) ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.71/4.64 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1154, [ =( true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'(
% 1.71/4.64 implies( Y, X ) ), true ) ) ] )
% 1.71/4.64 , clause( 9, [ =( ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( implies(
% 1.71/4.64 Y, X ) ), true ), true ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1156, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( Z,
% 1.71/4.64 implies( X, implies( Y, X ) ) ) ), true ) ) ] )
% 1.71/4.64 , clause( 2, [ =( 'is_a_theorem'( implies( X, implies( Y, X ) ) ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , 0, clause( 1154, [ =( true, ifeq( 'is_a_theorem'( X ), true,
% 1.71/4.64 'is_a_theorem'( implies( Y, X ) ), true ) ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.71/4.64 :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1158, [ =( true, 'is_a_theorem'( implies( X, implies( Y, implies( Z
% 1.71/4.64 , Y ) ) ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1156, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( Z
% 1.71/4.64 , implies( X, implies( Y, X ) ) ) ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies( X
% 1.71/4.64 , implies( Y, implies( Z, Y ) ) ) ) ), :=( Z, true )] ), substitution( 1
% 1.71/4.64 , [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1159, [ =( 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 1.71/4.64 ) ) ), true ) ] )
% 1.71/4.64 , clause( 1158, [ =( true, 'is_a_theorem'( implies( X, implies( Y, implies(
% 1.71/4.64 Z, Y ) ) ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 18, [ =( 'is_a_theorem'( implies( Z, implies( X, implies( Y, X ) )
% 1.71/4.64 ) ), true ) ] )
% 1.71/4.64 , clause( 1159, [ =( 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y
% 1.71/4.64 ) ) ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.71/4.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1161, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 1.71/4.64 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 1.71/4.64 )
% 1.71/4.64 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 1.71/4.64 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1164, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X, implies(
% 1.71/4.64 Y, implies( Z, Y ) ) ), T ) ), true, ifeq( true, true, 'is_a_theorem'( T
% 1.71/4.64 ), true ), true ) ) ] )
% 1.71/4.64 , clause( 18, [ =( 'is_a_theorem'( implies( Z, implies( X, implies( Y, X )
% 1.71/4.64 ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1161, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true
% 1.71/4.64 , ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) )
% 1.71/4.64 ] )
% 1.71/4.64 , 0, 15, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 1.71/4.64 substitution( 1, [ :=( X, implies( X, implies( Y, implies( Z, Y ) ) ) ),
% 1.71/4.64 :=( Y, T )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1166, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X, implies(
% 1.71/4.64 Y, implies( Z, Y ) ) ), T ) ), true, 'is_a_theorem'( T ), true ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1164, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X,
% 1.71/4.64 implies( Y, implies( Z, Y ) ) ), T ) ), true, ifeq( true, true,
% 1.71/4.64 'is_a_theorem'( T ), true ), true ) ) ] )
% 1.71/4.64 , 0, 14, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( T ) ),
% 1.71/4.64 :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 1.71/4.64 :=( T, T )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1167, [ =( ifeq( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.71/4.64 implies( Z, Y ) ) ), T ) ), true, 'is_a_theorem'( T ), true ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , clause( 1166, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X,
% 1.71/4.64 implies( Y, implies( Z, Y ) ) ), T ) ), true, 'is_a_theorem'( T ), true )
% 1.71/4.64 ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.71/4.64 ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 20, [ =( ifeq( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.71/4.64 implies( Z, Y ) ) ), T ) ), true, 'is_a_theorem'( T ), true ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , clause( 1167, [ =( ifeq( 'is_a_theorem'( implies( implies( X, implies( Y
% 1.71/4.64 , implies( Z, Y ) ) ), T ) ), true, 'is_a_theorem'( T ), true ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.71/4.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1169, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X, implies(
% 1.71/4.64 Y, X ) ), Z ) ), true, 'is_a_theorem'( Z ), true ) ) ] )
% 1.71/4.64 , clause( 10, [ =( ifeq( 'is_a_theorem'( implies( implies( X, implies( Y, X
% 1.71/4.64 ) ), Z ) ), true, 'is_a_theorem'( Z ), true ), true ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1171, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( implies(
% 1.71/4.64 X, Y ), implies( X, X ) ) ), true ) ) ] )
% 1.71/4.64 , clause( 4, [ =( 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.71/4.64 implies( implies( X, Y ), implies( X, Z ) ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1169, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X,
% 1.71/4.64 implies( Y, X ) ), Z ) ), true, 'is_a_theorem'( Z ), true ) ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X )] ),
% 1.71/4.64 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies( X, Y
% 1.71/4.64 ), implies( X, X ) ) )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1173, [ =( true, 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.71/4.64 X, X ) ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1171, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 1.71/4.64 implies( X, Y ), implies( X, X ) ) ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 1.71/4.64 implies( X, Y ), implies( X, X ) ) ) ), :=( Z, true )] ), substitution( 1
% 1.71/4.64 , [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1174, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies( X, X
% 1.71/4.64 ) ) ), true ) ] )
% 1.71/4.64 , clause( 1173, [ =( true, 'is_a_theorem'( implies( implies( X, Y ),
% 1.71/4.64 implies( X, X ) ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 35, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies( X, X )
% 1.71/4.64 ) ), true ) ] )
% 1.71/4.64 , clause( 1174, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 1.71/4.64 X ) ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.71/4.64 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1176, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X, implies(
% 1.71/4.64 Y, X ) ), Z ) ), true, 'is_a_theorem'( Z ), true ) ) ] )
% 1.71/4.64 , clause( 10, [ =( ifeq( 'is_a_theorem'( implies( implies( X, implies( Y, X
% 1.71/4.64 ) ), Z ) ), true, 'is_a_theorem'( Z ), true ), true ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1178, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( X, X )
% 1.71/4.64 ), true ) ) ] )
% 1.71/4.64 , clause( 35, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies( X, X
% 1.71/4.64 ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1176, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X,
% 1.71/4.64 implies( Y, X ) ), Z ) ), true, 'is_a_theorem'( Z ), true ) ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, implies( Y, X ) )] ),
% 1.71/4.64 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( X, X ) )] )
% 1.71/4.64 ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1180, [ =( true, 'is_a_theorem'( implies( X, X ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1178, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( X
% 1.71/4.64 , X ) ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies( X
% 1.71/4.64 , X ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1181, [ =( 'is_a_theorem'( implies( X, X ) ), true ) ] )
% 1.71/4.64 , clause( 1180, [ =( true, 'is_a_theorem'( implies( X, X ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 36, [ =( 'is_a_theorem'( implies( X, X ) ), true ) ] )
% 1.71/4.64 , clause( 1181, [ =( 'is_a_theorem'( implies( X, X ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1183, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( Y, Z )
% 1.71/4.64 ) ), true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z ) ) )
% 1.71/4.64 , true ) ) ] )
% 1.71/4.64 , clause( 12, [ =( ifeq( 'is_a_theorem'( implies( X, implies( Y, Z ) ) ),
% 1.71/4.64 true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z ) ) ), true
% 1.71/4.64 ), true ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1185, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( implies(
% 1.71/4.64 implies( X, Y ), X ), implies( implies( X, Y ), Y ) ) ), true ) ) ] )
% 1.71/4.64 , clause( 36, [ =( 'is_a_theorem'( implies( X, X ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1183, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( Y
% 1.71/4.64 , Z ) ) ), true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z
% 1.71/4.64 ) ) ), true ) ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, implies( X, Y ) )] ), substitution( 1, [
% 1.71/4.64 :=( X, implies( X, Y ) ), :=( Y, X ), :=( Z, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1187, [ =( true, 'is_a_theorem'( implies( implies( implies( X, Y )
% 1.71/4.64 , X ), implies( implies( X, Y ), Y ) ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1185, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 1.71/4.64 implies( implies( X, Y ), X ), implies( implies( X, Y ), Y ) ) ), true )
% 1.71/4.64 ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 1.71/4.64 implies( implies( X, Y ), X ), implies( implies( X, Y ), Y ) ) ) ), :=( Z
% 1.71/4.64 , true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1188, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 1.71/4.64 implies( implies( X, Y ), Y ) ) ), true ) ] )
% 1.71/4.64 , clause( 1187, [ =( true, 'is_a_theorem'( implies( implies( implies( X, Y
% 1.71/4.64 ), X ), implies( implies( X, Y ), Y ) ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 44, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 1.71/4.64 implies( implies( X, Y ), Y ) ) ), true ) ] )
% 1.71/4.64 , clause( 1188, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ), X )
% 1.71/4.64 , implies( implies( X, Y ), Y ) ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.71/4.64 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1190, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( Y, Z )
% 1.71/4.64 ) ), true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z ) ) )
% 1.71/4.64 , true ) ) ] )
% 1.71/4.64 , clause( 12, [ =( ifeq( 'is_a_theorem'( implies( X, implies( Y, Z ) ) ),
% 1.71/4.64 true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z ) ) ), true
% 1.71/4.64 ), true ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1192, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( implies(
% 1.71/4.64 X, implies( implies( Y, falsehood ), falsehood ) ), implies( X, Y ) ) ),
% 1.71/4.64 true ) ) ] )
% 1.71/4.64 , clause( 16, [ =( 'is_a_theorem'( implies( Y, implies( implies( implies( X
% 1.71/4.64 , falsehood ), falsehood ), X ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1190, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( Y
% 1.71/4.64 , Z ) ) ), true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z
% 1.71/4.64 ) ) ), true ) ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.71/4.64 :=( X, X ), :=( Y, implies( implies( Y, falsehood ), falsehood ) ), :=( Z
% 1.71/4.64 , Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1194, [ =( true, 'is_a_theorem'( implies( implies( X, implies(
% 1.71/4.64 implies( Y, falsehood ), falsehood ) ), implies( X, Y ) ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1192, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 1.71/4.64 implies( X, implies( implies( Y, falsehood ), falsehood ) ), implies( X,
% 1.71/4.64 Y ) ) ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 1.71/4.64 implies( X, implies( implies( Y, falsehood ), falsehood ) ), implies( X,
% 1.71/4.64 Y ) ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 1.71/4.64 ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1195, [ =( 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 1.71/4.64 , falsehood ), falsehood ) ), implies( X, Y ) ) ), true ) ] )
% 1.71/4.64 , clause( 1194, [ =( true, 'is_a_theorem'( implies( implies( X, implies(
% 1.71/4.64 implies( Y, falsehood ), falsehood ) ), implies( X, Y ) ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 45, [ =( 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 1.71/4.64 falsehood ), falsehood ) ), implies( X, Y ) ) ), true ) ] )
% 1.71/4.64 , clause( 1195, [ =( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.71/4.64 Y, falsehood ), falsehood ) ), implies( X, Y ) ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.71/4.64 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1197, [ =( true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'(
% 1.71/4.64 implies( Y, X ) ), true ) ) ] )
% 1.71/4.64 , clause( 9, [ =( ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( implies(
% 1.71/4.64 Y, X ) ), true ), true ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1199, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( Z,
% 1.71/4.64 implies( implies( implies( X, Y ), X ), implies( implies( X, Y ), Y ) ) )
% 1.71/4.64 ), true ) ) ] )
% 1.71/4.64 , clause( 44, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 1.71/4.64 implies( implies( X, Y ), Y ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1197, [ =( true, ifeq( 'is_a_theorem'( X ), true,
% 1.71/4.64 'is_a_theorem'( implies( Y, X ) ), true ) ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.71/4.64 :=( X, implies( implies( implies( X, Y ), X ), implies( implies( X, Y ),
% 1.71/4.64 Y ) ) ), :=( Y, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1201, [ =( true, 'is_a_theorem'( implies( X, implies( implies(
% 1.71/4.64 implies( Y, Z ), Y ), implies( implies( Y, Z ), Z ) ) ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1199, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( Z
% 1.71/4.64 , implies( implies( implies( X, Y ), X ), implies( implies( X, Y ), Y ) )
% 1.71/4.64 ) ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies( X
% 1.71/4.64 , implies( implies( implies( Y, Z ), Y ), implies( implies( Y, Z ), Z ) )
% 1.71/4.64 ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=(
% 1.71/4.64 Z, X )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1202, [ =( 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 1.71/4.64 , Z ), Y ), implies( implies( Y, Z ), Z ) ) ) ), true ) ] )
% 1.71/4.64 , clause( 1201, [ =( true, 'is_a_theorem'( implies( X, implies( implies(
% 1.71/4.64 implies( Y, Z ), Y ), implies( implies( Y, Z ), Z ) ) ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 66, [ =( 'is_a_theorem'( implies( Z, implies( implies( implies( X,
% 1.71/4.64 Y ), X ), implies( implies( X, Y ), Y ) ) ) ), true ) ] )
% 1.71/4.64 , clause( 1202, [ =( 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.71/4.64 Y, Z ), Y ), implies( implies( Y, Z ), Z ) ) ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.71/4.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1204, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X, implies(
% 1.71/4.64 Y, implies( Z, Y ) ) ), T ) ), true, 'is_a_theorem'( T ), true ) ) ] )
% 1.71/4.64 , clause( 20, [ =( ifeq( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.71/4.64 implies( Z, Y ) ) ), T ) ), true, 'is_a_theorem'( T ), true ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.71/4.64 ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1206, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( implies(
% 1.71/4.64 implies( X, implies( Y, X ) ), Z ), Z ) ), true ) ) ] )
% 1.71/4.64 , clause( 44, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 1.71/4.64 implies( implies( X, Y ), Y ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1204, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X,
% 1.71/4.64 implies( Y, implies( Z, Y ) ) ), T ) ), true, 'is_a_theorem'( T ), true )
% 1.71/4.64 ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z
% 1.71/4.64 )] ), substitution( 1, [ :=( X, implies( implies( X, implies( Y, X ) ),
% 1.71/4.64 Z ) ), :=( Y, X ), :=( Z, Y ), :=( T, implies( implies( implies( X,
% 1.71/4.64 implies( Y, X ) ), Z ), Z ) )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1208, [ =( true, 'is_a_theorem'( implies( implies( implies( X,
% 1.71/4.64 implies( Y, X ) ), Z ), Z ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1206, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 1.71/4.64 implies( implies( X, implies( Y, X ) ), Z ), Z ) ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 1.71/4.64 implies( implies( X, implies( Y, X ) ), Z ), Z ) ) ), :=( Z, true )] ),
% 1.71/4.64 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1209, [ =( 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 1.71/4.64 , X ) ), Z ), Z ) ), true ) ] )
% 1.71/4.64 , clause( 1208, [ =( true, 'is_a_theorem'( implies( implies( implies( X,
% 1.71/4.64 implies( Y, X ) ), Z ), Z ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 75, [ =( 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 1.71/4.64 X ) ), Z ), Z ) ), true ) ] )
% 1.71/4.64 , clause( 1209, [ =( 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.71/4.64 Y, X ) ), Z ), Z ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.71/4.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1211, [ =( true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'(
% 1.71/4.64 implies( Y, X ) ), true ) ) ] )
% 1.71/4.64 , clause( 9, [ =( ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( implies(
% 1.71/4.64 Y, X ) ), true ), true ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1213, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( T,
% 1.71/4.64 implies( implies( implies( X, implies( Y, X ) ), Z ), Z ) ) ), true ) ) ]
% 1.71/4.64 )
% 1.71/4.64 , clause( 75, [ =( 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 1.71/4.64 , X ) ), Z ), Z ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1211, [ =( true, ifeq( 'is_a_theorem'( X ), true,
% 1.71/4.64 'is_a_theorem'( implies( Y, X ) ), true ) ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.71/4.64 substitution( 1, [ :=( X, implies( implies( implies( X, implies( Y, X ) )
% 1.71/4.64 , Z ), Z ) ), :=( Y, T )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1215, [ =( true, 'is_a_theorem'( implies( X, implies( implies(
% 1.71/4.64 implies( Y, implies( Z, Y ) ), T ), T ) ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1213, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( T
% 1.71/4.64 , implies( implies( implies( X, implies( Y, X ) ), Z ), Z ) ) ), true ) )
% 1.71/4.64 ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies( X
% 1.71/4.64 , implies( implies( implies( Y, implies( Z, Y ) ), T ), T ) ) ) ), :=( Z
% 1.71/4.64 , true )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T
% 1.71/4.64 , X )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1216, [ =( 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 1.71/4.64 , implies( Z, Y ) ), T ), T ) ) ), true ) ] )
% 1.71/4.64 , clause( 1215, [ =( true, 'is_a_theorem'( implies( X, implies( implies(
% 1.71/4.64 implies( Y, implies( Z, Y ) ), T ), T ) ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.71/4.64 ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 77, [ =( 'is_a_theorem'( implies( T, implies( implies( implies( X,
% 1.71/4.64 implies( Y, X ) ), Z ), Z ) ) ), true ) ] )
% 1.71/4.64 , clause( 1216, [ =( 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.71/4.64 Y, implies( Z, Y ) ), T ), T ) ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 1.71/4.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1218, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X, implies(
% 1.71/4.64 Y, X ) ), Z ) ), true, 'is_a_theorem'( Z ), true ) ) ] )
% 1.71/4.64 , clause( 10, [ =( ifeq( 'is_a_theorem'( implies( implies( X, implies( Y, X
% 1.71/4.64 ) ), Z ) ), true, 'is_a_theorem'( Z ), true ), true ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1220, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 1.71/4.64 falsehood, X ) ), true ) ) ] )
% 1.71/4.64 , clause( 45, [ =( 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 1.71/4.64 , falsehood ), falsehood ) ), implies( X, Y ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1218, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X,
% 1.71/4.64 implies( Y, X ) ), Z ) ), true, 'is_a_theorem'( Z ), true ) ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, falsehood ), :=( Y, X )] ),
% 1.71/4.64 substitution( 1, [ :=( X, falsehood ), :=( Y, implies( X, falsehood ) ),
% 1.71/4.64 :=( Z, implies( falsehood, X ) )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1222, [ =( true, 'is_a_theorem'( implies( falsehood, X ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1220, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 1.71/4.64 falsehood, X ) ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 1.71/4.64 falsehood, X ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X )] )
% 1.71/4.64 ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1223, [ =( 'is_a_theorem'( implies( falsehood, X ) ), true ) ] )
% 1.71/4.64 , clause( 1222, [ =( true, 'is_a_theorem'( implies( falsehood, X ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 82, [ =( 'is_a_theorem'( implies( falsehood, X ) ), true ) ] )
% 1.71/4.64 , clause( 1223, [ =( 'is_a_theorem'( implies( falsehood, X ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1225, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 1.71/4.64 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 1.71/4.64 )
% 1.71/4.64 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 1.71/4.64 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1227, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'( implies( X
% 1.71/4.64 , implies( implies( Y, falsehood ), falsehood ) ) ), true, 'is_a_theorem'(
% 1.71/4.64 implies( X, Y ) ), true ), true ) ) ] )
% 1.71/4.64 , clause( 45, [ =( 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 1.71/4.64 , falsehood ), falsehood ) ), implies( X, Y ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1225, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true
% 1.71/4.64 , ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) )
% 1.71/4.64 ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.71/4.64 :=( X, implies( X, implies( implies( Y, falsehood ), falsehood ) ) ),
% 1.71/4.64 :=( Y, implies( X, Y ) )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1232, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( implies(
% 1.71/4.64 Y, falsehood ), falsehood ) ) ), true, 'is_a_theorem'( implies( X, Y ) )
% 1.71/4.64 , true ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1227, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'(
% 1.71/4.64 implies( X, implies( implies( Y, falsehood ), falsehood ) ) ), true,
% 1.71/4.64 'is_a_theorem'( implies( X, Y ) ), true ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( 'is_a_theorem'(
% 1.71/4.64 implies( X, implies( implies( Y, falsehood ), falsehood ) ) ), true,
% 1.71/4.64 'is_a_theorem'( implies( X, Y ) ), true ) ), :=( Z, true )] ),
% 1.71/4.64 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1233, [ =( ifeq( 'is_a_theorem'( implies( X, implies( implies( Y,
% 1.71/4.64 falsehood ), falsehood ) ) ), true, 'is_a_theorem'( implies( X, Y ) ),
% 1.71/4.64 true ), true ) ] )
% 1.71/4.64 , clause( 1232, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies(
% 1.71/4.64 implies( Y, falsehood ), falsehood ) ) ), true, 'is_a_theorem'( implies(
% 1.71/4.64 X, Y ) ), true ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 85, [ =( ifeq( 'is_a_theorem'( implies( X, implies( implies( Y,
% 1.71/4.64 falsehood ), falsehood ) ) ), true, 'is_a_theorem'( implies( X, Y ) ),
% 1.71/4.64 true ), true ) ] )
% 1.71/4.64 , clause( 1233, [ =( ifeq( 'is_a_theorem'( implies( X, implies( implies( Y
% 1.71/4.64 , falsehood ), falsehood ) ) ), true, 'is_a_theorem'( implies( X, Y ) ),
% 1.71/4.64 true ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.71/4.64 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1235, [ =( true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'(
% 1.71/4.64 implies( Y, X ) ), true ) ) ] )
% 1.71/4.64 , clause( 9, [ =( ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( implies(
% 1.71/4.64 Y, X ) ), true ), true ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1237, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( Y,
% 1.71/4.64 implies( falsehood, X ) ) ), true ) ) ] )
% 1.71/4.64 , clause( 82, [ =( 'is_a_theorem'( implies( falsehood, X ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1235, [ =( true, ifeq( 'is_a_theorem'( X ), true,
% 1.71/4.64 'is_a_theorem'( implies( Y, X ) ), true ) ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, implies(
% 1.71/4.64 falsehood, X ) ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1239, [ =( true, 'is_a_theorem'( implies( X, implies( falsehood, Y
% 1.71/4.64 ) ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1237, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( Y
% 1.71/4.64 , implies( falsehood, X ) ) ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies( X
% 1.71/4.64 , implies( falsehood, Y ) ) ) ), :=( Z, true )] ), substitution( 1, [
% 1.71/4.64 :=( X, Y ), :=( Y, X )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1240, [ =( 'is_a_theorem'( implies( X, implies( falsehood, Y ) ) )
% 1.71/4.64 , true ) ] )
% 1.71/4.64 , clause( 1239, [ =( true, 'is_a_theorem'( implies( X, implies( falsehood,
% 1.71/4.64 Y ) ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 88, [ =( 'is_a_theorem'( implies( Y, implies( falsehood, X ) ) ),
% 1.71/4.64 true ) ] )
% 1.71/4.64 , clause( 1240, [ =( 'is_a_theorem'( implies( X, implies( falsehood, Y ) )
% 1.71/4.64 ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.71/4.64 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1242, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( Y, Z )
% 1.71/4.64 ) ), true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z ) ) )
% 1.71/4.64 , true ) ) ] )
% 1.71/4.64 , clause( 12, [ =( ifeq( 'is_a_theorem'( implies( X, implies( Y, Z ) ) ),
% 1.71/4.64 true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z ) ) ), true
% 1.71/4.64 ), true ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1244, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( implies(
% 1.71/4.64 X, falsehood ), implies( X, Y ) ) ), true ) ) ] )
% 1.71/4.64 , clause( 88, [ =( 'is_a_theorem'( implies( Y, implies( falsehood, X ) ) )
% 1.71/4.64 , true ) ] )
% 1.71/4.64 , 0, clause( 1242, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( Y
% 1.71/4.64 , Z ) ) ), true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z
% 1.71/4.64 ) ) ), true ) ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.71/4.64 :=( X, X ), :=( Y, falsehood ), :=( Z, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1246, [ =( true, 'is_a_theorem'( implies( implies( X, falsehood ),
% 1.71/4.64 implies( X, Y ) ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1244, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 1.71/4.64 implies( X, falsehood ), implies( X, Y ) ) ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 1.71/4.64 implies( X, falsehood ), implies( X, Y ) ) ) ), :=( Z, true )] ),
% 1.71/4.64 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1247, [ =( 'is_a_theorem'( implies( implies( X, falsehood ),
% 1.71/4.64 implies( X, Y ) ) ), true ) ] )
% 1.71/4.64 , clause( 1246, [ =( true, 'is_a_theorem'( implies( implies( X, falsehood )
% 1.71/4.64 , implies( X, Y ) ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 92, [ =( 'is_a_theorem'( implies( implies( X, falsehood ), implies(
% 1.71/4.64 X, Y ) ) ), true ) ] )
% 1.71/4.64 , clause( 1247, [ =( 'is_a_theorem'( implies( implies( X, falsehood ),
% 1.71/4.64 implies( X, Y ) ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.71/4.64 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1249, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( Y, Z )
% 1.71/4.64 ) ), true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z ) ) )
% 1.71/4.64 , true ) ) ] )
% 1.71/4.64 , clause( 12, [ =( ifeq( 'is_a_theorem'( implies( X, implies( Y, Z ) ) ),
% 1.71/4.64 true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z ) ) ), true
% 1.71/4.64 ), true ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1251, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( implies(
% 1.71/4.64 implies( X, falsehood ), X ), implies( implies( X, falsehood ), Y ) ) ),
% 1.71/4.64 true ) ) ] )
% 1.71/4.64 , clause( 92, [ =( 'is_a_theorem'( implies( implies( X, falsehood ),
% 1.71/4.64 implies( X, Y ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1249, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( Y
% 1.71/4.64 , Z ) ) ), true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z
% 1.71/4.64 ) ) ), true ) ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.71/4.64 :=( X, implies( X, falsehood ) ), :=( Y, X ), :=( Z, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1253, [ =( true, 'is_a_theorem'( implies( implies( implies( X,
% 1.71/4.64 falsehood ), X ), implies( implies( X, falsehood ), Y ) ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1251, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 1.71/4.64 implies( implies( X, falsehood ), X ), implies( implies( X, falsehood ),
% 1.71/4.64 Y ) ) ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 1.71/4.64 implies( implies( X, falsehood ), X ), implies( implies( X, falsehood ),
% 1.71/4.64 Y ) ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 1.71/4.64 ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1254, [ =( 'is_a_theorem'( implies( implies( implies( X, falsehood
% 1.71/4.64 ), X ), implies( implies( X, falsehood ), Y ) ) ), true ) ] )
% 1.71/4.64 , clause( 1253, [ =( true, 'is_a_theorem'( implies( implies( implies( X,
% 1.71/4.64 falsehood ), X ), implies( implies( X, falsehood ), Y ) ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 95, [ =( 'is_a_theorem'( implies( implies( implies( X, falsehood )
% 1.71/4.64 , X ), implies( implies( X, falsehood ), Y ) ) ), true ) ] )
% 1.71/4.64 , clause( 1254, [ =( 'is_a_theorem'( implies( implies( implies( X,
% 1.71/4.64 falsehood ), X ), implies( implies( X, falsehood ), Y ) ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.71/4.64 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1256, [ =( true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'(
% 1.71/4.64 implies( Y, X ) ), true ) ) ] )
% 1.71/4.64 , clause( 9, [ =( ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( implies(
% 1.71/4.64 Y, X ) ), true ), true ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1258, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( Z,
% 1.71/4.64 implies( implies( X, falsehood ), implies( X, Y ) ) ) ), true ) ) ] )
% 1.71/4.64 , clause( 92, [ =( 'is_a_theorem'( implies( implies( X, falsehood ),
% 1.71/4.64 implies( X, Y ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1256, [ =( true, ifeq( 'is_a_theorem'( X ), true,
% 1.71/4.64 'is_a_theorem'( implies( Y, X ) ), true ) ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.71/4.64 :=( X, implies( implies( X, falsehood ), implies( X, Y ) ) ), :=( Y, Z )] )
% 1.71/4.64 ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1260, [ =( true, 'is_a_theorem'( implies( X, implies( implies( Y,
% 1.71/4.64 falsehood ), implies( Y, Z ) ) ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1258, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( Z
% 1.71/4.64 , implies( implies( X, falsehood ), implies( X, Y ) ) ) ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies( X
% 1.71/4.64 , implies( implies( Y, falsehood ), implies( Y, Z ) ) ) ) ), :=( Z, true
% 1.71/4.64 )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1261, [ =( 'is_a_theorem'( implies( X, implies( implies( Y,
% 1.71/4.64 falsehood ), implies( Y, Z ) ) ) ), true ) ] )
% 1.71/4.64 , clause( 1260, [ =( true, 'is_a_theorem'( implies( X, implies( implies( Y
% 1.71/4.64 , falsehood ), implies( Y, Z ) ) ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 97, [ =( 'is_a_theorem'( implies( Z, implies( implies( X, falsehood
% 1.71/4.64 ), implies( X, Y ) ) ) ), true ) ] )
% 1.71/4.64 , clause( 1261, [ =( 'is_a_theorem'( implies( X, implies( implies( Y,
% 1.71/4.64 falsehood ), implies( Y, Z ) ) ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.71/4.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1263, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( Y, Z )
% 1.71/4.64 ) ), true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z ) ) )
% 1.71/4.64 , true ) ) ] )
% 1.71/4.64 , clause( 12, [ =( ifeq( 'is_a_theorem'( implies( X, implies( Y, Z ) ) ),
% 1.71/4.64 true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z ) ) ), true
% 1.71/4.64 ), true ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1265, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( implies(
% 1.71/4.64 X, implies( Y, falsehood ) ), implies( X, implies( Y, Z ) ) ) ), true ) )
% 1.71/4.64 ] )
% 1.71/4.64 , clause( 97, [ =( 'is_a_theorem'( implies( Z, implies( implies( X,
% 1.71/4.64 falsehood ), implies( X, Y ) ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1263, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( Y
% 1.71/4.64 , Z ) ) ), true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z
% 1.71/4.64 ) ) ), true ) ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 1.71/4.64 substitution( 1, [ :=( X, X ), :=( Y, implies( Y, falsehood ) ), :=( Z,
% 1.71/4.64 implies( Y, Z ) )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1267, [ =( true, 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.71/4.64 falsehood ) ), implies( X, implies( Y, Z ) ) ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1265, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 1.71/4.64 implies( X, implies( Y, falsehood ) ), implies( X, implies( Y, Z ) ) ) )
% 1.71/4.64 , true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 1.71/4.64 implies( X, implies( Y, falsehood ) ), implies( X, implies( Y, Z ) ) ) )
% 1.71/4.64 ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z
% 1.71/4.64 )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1268, [ =( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.71/4.64 falsehood ) ), implies( X, implies( Y, Z ) ) ) ), true ) ] )
% 1.71/4.64 , clause( 1267, [ =( true, 'is_a_theorem'( implies( implies( X, implies( Y
% 1.71/4.64 , falsehood ) ), implies( X, implies( Y, Z ) ) ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 107, [ =( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.71/4.64 falsehood ) ), implies( X, implies( Y, Z ) ) ) ), true ) ] )
% 1.71/4.64 , clause( 1268, [ =( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.71/4.64 falsehood ) ), implies( X, implies( Y, Z ) ) ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.71/4.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1270, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 1.71/4.64 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 1.71/4.64 )
% 1.71/4.64 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 1.71/4.64 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1272, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'( implies( X
% 1.71/4.64 , implies( Y, falsehood ) ) ), true, 'is_a_theorem'( implies( X, implies(
% 1.71/4.64 Y, Z ) ) ), true ), true ) ) ] )
% 1.71/4.64 , clause( 107, [ =( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.71/4.64 falsehood ) ), implies( X, implies( Y, Z ) ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1270, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true
% 1.71/4.64 , ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) )
% 1.71/4.64 ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.71/4.64 substitution( 1, [ :=( X, implies( X, implies( Y, falsehood ) ) ), :=( Y
% 1.71/4.64 , implies( X, implies( Y, Z ) ) )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1277, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( Y,
% 1.71/4.64 falsehood ) ) ), true, 'is_a_theorem'( implies( X, implies( Y, Z ) ) ),
% 1.71/4.64 true ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1272, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'(
% 1.71/4.64 implies( X, implies( Y, falsehood ) ) ), true, 'is_a_theorem'( implies( X
% 1.71/4.64 , implies( Y, Z ) ) ), true ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( 'is_a_theorem'(
% 1.71/4.64 implies( X, implies( Y, falsehood ) ) ), true, 'is_a_theorem'( implies( X
% 1.71/4.64 , implies( Y, Z ) ) ), true ) ), :=( Z, true )] ), substitution( 1, [
% 1.71/4.64 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1278, [ =( ifeq( 'is_a_theorem'( implies( X, implies( Y, falsehood
% 1.71/4.64 ) ) ), true, 'is_a_theorem'( implies( X, implies( Y, Z ) ) ), true ),
% 1.71/4.64 true ) ] )
% 1.71/4.64 , clause( 1277, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( Y,
% 1.71/4.64 falsehood ) ) ), true, 'is_a_theorem'( implies( X, implies( Y, Z ) ) ),
% 1.71/4.64 true ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 117, [ =( ifeq( 'is_a_theorem'( implies( X, implies( Y, falsehood )
% 1.71/4.64 ) ), true, 'is_a_theorem'( implies( X, implies( Y, Z ) ) ), true ), true
% 1.71/4.64 ) ] )
% 1.71/4.64 , clause( 1278, [ =( ifeq( 'is_a_theorem'( implies( X, implies( Y,
% 1.71/4.64 falsehood ) ) ), true, 'is_a_theorem'( implies( X, implies( Y, Z ) ) ),
% 1.71/4.64 true ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.71/4.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1280, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( Y, Z )
% 1.71/4.64 ) ), true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z ) ) )
% 1.71/4.64 , true ) ) ] )
% 1.71/4.64 , clause( 12, [ =( ifeq( 'is_a_theorem'( implies( X, implies( Y, Z ) ) ),
% 1.71/4.64 true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z ) ) ), true
% 1.71/4.64 ), true ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1282, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( implies(
% 1.71/4.64 X, implies( implies( Y, implies( Z, Y ) ), T ) ), implies( X, T ) ) ),
% 1.71/4.64 true ) ) ] )
% 1.71/4.64 , clause( 77, [ =( 'is_a_theorem'( implies( T, implies( implies( implies( X
% 1.71/4.64 , implies( Y, X ) ), Z ), Z ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1280, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( Y
% 1.71/4.64 , Z ) ) ), true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z
% 1.71/4.64 ) ) ), true ) ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] )
% 1.71/4.64 , substitution( 1, [ :=( X, X ), :=( Y, implies( implies( Y, implies( Z,
% 1.71/4.64 Y ) ), T ) ), :=( Z, T )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1284, [ =( true, 'is_a_theorem'( implies( implies( X, implies(
% 1.71/4.64 implies( Y, implies( Z, Y ) ), T ) ), implies( X, T ) ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1282, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 1.71/4.64 implies( X, implies( implies( Y, implies( Z, Y ) ), T ) ), implies( X, T
% 1.71/4.64 ) ) ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 1.71/4.64 implies( X, implies( implies( Y, implies( Z, Y ) ), T ) ), implies( X, T
% 1.71/4.64 ) ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 1.71/4.64 :=( Z, Z ), :=( T, T )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1285, [ =( 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 1.71/4.64 , implies( Z, Y ) ), T ) ), implies( X, T ) ) ), true ) ] )
% 1.71/4.64 , clause( 1284, [ =( true, 'is_a_theorem'( implies( implies( X, implies(
% 1.71/4.64 implies( Y, implies( Z, Y ) ), T ) ), implies( X, T ) ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.71/4.64 ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 207, [ =( 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 1.71/4.64 , implies( Z, Y ) ), T ) ), implies( X, T ) ) ), true ) ] )
% 1.71/4.64 , clause( 1285, [ =( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.71/4.64 Y, implies( Z, Y ) ), T ) ), implies( X, T ) ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.71/4.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1287, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( implies(
% 1.71/4.64 Y, falsehood ), falsehood ) ) ), true, 'is_a_theorem'( implies( X, Y ) )
% 1.71/4.64 , true ) ) ] )
% 1.71/4.64 , clause( 85, [ =( ifeq( 'is_a_theorem'( implies( X, implies( implies( Y,
% 1.71/4.64 falsehood ), falsehood ) ) ), true, 'is_a_theorem'( implies( X, Y ) ),
% 1.71/4.64 true ), true ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1289, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( implies(
% 1.71/4.64 implies( X, falsehood ), X ), X ) ), true ) ) ] )
% 1.71/4.64 , clause( 95, [ =( 'is_a_theorem'( implies( implies( implies( X, falsehood
% 1.71/4.64 ), X ), implies( implies( X, falsehood ), Y ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1287, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies(
% 1.71/4.64 implies( Y, falsehood ), falsehood ) ) ), true, 'is_a_theorem'( implies(
% 1.71/4.64 X, Y ) ), true ) ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, falsehood )] ),
% 1.71/4.64 substitution( 1, [ :=( X, implies( implies( X, falsehood ), X ) ), :=( Y
% 1.71/4.64 , X )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1291, [ =( true, 'is_a_theorem'( implies( implies( implies( X,
% 1.71/4.64 falsehood ), X ), X ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1289, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 1.71/4.64 implies( implies( X, falsehood ), X ), X ) ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 1.71/4.64 implies( implies( X, falsehood ), X ), X ) ) ), :=( Z, true )] ),
% 1.71/4.64 substitution( 1, [ :=( X, X )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1292, [ =( 'is_a_theorem'( implies( implies( implies( X, falsehood
% 1.71/4.64 ), X ), X ) ), true ) ] )
% 1.71/4.64 , clause( 1291, [ =( true, 'is_a_theorem'( implies( implies( implies( X,
% 1.71/4.64 falsehood ), X ), X ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 353, [ =( 'is_a_theorem'( implies( implies( implies( X, falsehood )
% 1.71/4.64 , X ), X ) ), true ) ] )
% 1.71/4.64 , clause( 1292, [ =( 'is_a_theorem'( implies( implies( implies( X,
% 1.71/4.64 falsehood ), X ), X ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1294, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 1.71/4.64 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 1.71/4.64 )
% 1.71/4.64 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 1.71/4.64 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1296, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'( implies(
% 1.71/4.64 implies( X, falsehood ), X ) ), true, 'is_a_theorem'( X ), true ), true )
% 1.71/4.64 ) ] )
% 1.71/4.64 , clause( 353, [ =( 'is_a_theorem'( implies( implies( implies( X, falsehood
% 1.71/4.64 ), X ), X ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1294, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true
% 1.71/4.64 , ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) )
% 1.71/4.64 ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, implies(
% 1.71/4.64 implies( X, falsehood ), X ) ), :=( Y, X )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1301, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X,
% 1.71/4.64 falsehood ), X ) ), true, 'is_a_theorem'( X ), true ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1296, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'(
% 1.71/4.64 implies( implies( X, falsehood ), X ) ), true, 'is_a_theorem'( X ), true
% 1.71/4.64 ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( 'is_a_theorem'(
% 1.71/4.64 implies( implies( X, falsehood ), X ) ), true, 'is_a_theorem'( X ), true
% 1.71/4.64 ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1302, [ =( ifeq( 'is_a_theorem'( implies( implies( X, falsehood ),
% 1.71/4.64 X ) ), true, 'is_a_theorem'( X ), true ), true ) ] )
% 1.71/4.64 , clause( 1301, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X,
% 1.71/4.64 falsehood ), X ) ), true, 'is_a_theorem'( X ), true ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 360, [ =( ifeq( 'is_a_theorem'( implies( implies( X, falsehood ), X
% 1.71/4.64 ) ), true, 'is_a_theorem'( X ), true ), true ) ] )
% 1.71/4.64 , clause( 1302, [ =( ifeq( 'is_a_theorem'( implies( implies( X, falsehood )
% 1.71/4.64 , X ) ), true, 'is_a_theorem'( X ), true ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1304, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies( X
% 1.71/4.64 , implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z ) ) ), T ) )
% 1.71/4.64 , true, 'is_a_theorem'( T ), true ) ) ] )
% 1.71/4.64 , clause( 13, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( X,
% 1.71/4.64 implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z ) ) ), T ) ),
% 1.71/4.64 true, 'is_a_theorem'( T ), true ), true ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.71/4.64 ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1306, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( implies(
% 1.71/4.64 X, implies( implies( Y, X ), Z ) ), implies( X, Z ) ) ), true ) ) ] )
% 1.71/4.64 , clause( 207, [ =( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.71/4.64 Y, implies( Z, Y ) ), T ) ), implies( X, T ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1304, [ =( true, ifeq( 'is_a_theorem'( implies( implies(
% 1.71/4.64 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 1.71/4.64 ) ), T ) ), true, 'is_a_theorem'( T ), true ) ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, implies( X, implies( implies( Y, X ), Z )
% 1.71/4.64 ) ), :=( Y, X ), :=( Z, Y ), :=( T, implies( X, Z ) )] ), substitution(
% 1.71/4.64 1, [ :=( X, X ), :=( Y, implies( Y, X ) ), :=( Z, Z ), :=( T, implies(
% 1.71/4.64 implies( X, implies( implies( Y, X ), Z ) ), implies( X, Z ) ) )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1308, [ =( true, 'is_a_theorem'( implies( implies( X, implies(
% 1.71/4.64 implies( Y, X ), Z ) ), implies( X, Z ) ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1306, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 1.71/4.64 implies( X, implies( implies( Y, X ), Z ) ), implies( X, Z ) ) ), true )
% 1.71/4.64 ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 1.71/4.64 implies( X, implies( implies( Y, X ), Z ) ), implies( X, Z ) ) ) ), :=( Z
% 1.71/4.64 , true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 1.71/4.64 ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1309, [ =( 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 1.71/4.64 , X ), Z ) ), implies( X, Z ) ) ), true ) ] )
% 1.71/4.64 , clause( 1308, [ =( true, 'is_a_theorem'( implies( implies( X, implies(
% 1.71/4.64 implies( Y, X ), Z ) ), implies( X, Z ) ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 506, [ =( 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 1.71/4.64 , X ), Z ) ), implies( X, Z ) ) ), true ) ] )
% 1.71/4.64 , clause( 1309, [ =( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.71/4.64 Y, X ), Z ) ), implies( X, Z ) ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.71/4.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1311, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( Y,
% 1.71/4.64 falsehood ) ) ), true, 'is_a_theorem'( implies( X, implies( Y, Z ) ) ),
% 1.71/4.64 true ) ) ] )
% 1.71/4.64 , clause( 117, [ =( ifeq( 'is_a_theorem'( implies( X, implies( Y, falsehood
% 1.71/4.64 ) ) ), true, 'is_a_theorem'( implies( X, implies( Y, Z ) ) ), true ),
% 1.71/4.64 true ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1313, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( implies(
% 1.71/4.64 X, implies( implies( Y, X ), falsehood ) ), implies( X, Z ) ) ), true ) )
% 1.71/4.64 ] )
% 1.71/4.64 , clause( 506, [ =( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.71/4.64 Y, X ), Z ) ), implies( X, Z ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1311, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( Y
% 1.71/4.64 , falsehood ) ) ), true, 'is_a_theorem'( implies( X, implies( Y, Z ) ) )
% 1.71/4.64 , true ) ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, falsehood )] ),
% 1.71/4.64 substitution( 1, [ :=( X, implies( X, implies( implies( Y, X ), falsehood
% 1.71/4.64 ) ) ), :=( Y, X ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1315, [ =( true, 'is_a_theorem'( implies( implies( X, implies(
% 1.71/4.64 implies( Y, X ), falsehood ) ), implies( X, Z ) ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1313, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 1.71/4.64 implies( X, implies( implies( Y, X ), falsehood ) ), implies( X, Z ) ) )
% 1.71/4.64 , true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 1.71/4.64 implies( X, implies( implies( Y, X ), falsehood ) ), implies( X, Z ) ) )
% 1.71/4.64 ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z
% 1.71/4.64 )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1316, [ =( 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 1.71/4.64 , X ), falsehood ) ), implies( X, Z ) ) ), true ) ] )
% 1.71/4.64 , clause( 1315, [ =( true, 'is_a_theorem'( implies( implies( X, implies(
% 1.71/4.64 implies( Y, X ), falsehood ) ), implies( X, Z ) ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 510, [ =( 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 1.71/4.64 , X ), falsehood ) ), implies( X, Z ) ) ), true ) ] )
% 1.71/4.64 , clause( 1316, [ =( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.71/4.64 Y, X ), falsehood ) ), implies( X, Z ) ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.71/4.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1318, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 1.71/4.64 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 1.71/4.64 )
% 1.71/4.64 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 1.71/4.64 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1320, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'( implies( X
% 1.71/4.64 , implies( implies( Y, X ), Z ) ) ), true, 'is_a_theorem'( implies( X, Z
% 1.71/4.64 ) ), true ), true ) ) ] )
% 1.71/4.64 , clause( 506, [ =( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.71/4.64 Y, X ), Z ) ), implies( X, Z ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1318, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true
% 1.71/4.64 , ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) )
% 1.71/4.64 ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.71/4.64 substitution( 1, [ :=( X, implies( X, implies( implies( Y, X ), Z ) ) ),
% 1.71/4.64 :=( Y, implies( X, Z ) )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1325, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( implies(
% 1.71/4.64 Y, X ), Z ) ) ), true, 'is_a_theorem'( implies( X, Z ) ), true ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1320, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'(
% 1.71/4.64 implies( X, implies( implies( Y, X ), Z ) ) ), true, 'is_a_theorem'(
% 1.71/4.64 implies( X, Z ) ), true ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( 'is_a_theorem'(
% 1.71/4.64 implies( X, implies( implies( Y, X ), Z ) ) ), true, 'is_a_theorem'(
% 1.71/4.64 implies( X, Z ) ), true ) ), :=( Z, true )] ), substitution( 1, [ :=( X,
% 1.71/4.64 X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1326, [ =( ifeq( 'is_a_theorem'( implies( X, implies( implies( Y, X
% 1.71/4.64 ), Z ) ) ), true, 'is_a_theorem'( implies( X, Z ) ), true ), true ) ] )
% 1.71/4.64 , clause( 1325, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies(
% 1.71/4.64 implies( Y, X ), Z ) ) ), true, 'is_a_theorem'( implies( X, Z ) ), true )
% 1.71/4.64 ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 514, [ =( ifeq( 'is_a_theorem'( implies( X, implies( implies( Y, X
% 1.71/4.64 ), Z ) ) ), true, 'is_a_theorem'( implies( X, Z ) ), true ), true ) ] )
% 1.71/4.64 , clause( 1326, [ =( ifeq( 'is_a_theorem'( implies( X, implies( implies( Y
% 1.71/4.64 , X ), Z ) ) ), true, 'is_a_theorem'( implies( X, Z ) ), true ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.71/4.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1328, [ =( true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'(
% 1.71/4.64 implies( Y, X ) ), true ) ) ] )
% 1.71/4.64 , clause( 9, [ =( ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( implies(
% 1.71/4.64 Y, X ) ), true ), true ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1330, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( T,
% 1.71/4.64 implies( implies( X, implies( implies( Y, X ), falsehood ) ), implies( X
% 1.71/4.64 , Z ) ) ) ), true ) ) ] )
% 1.71/4.64 , clause( 510, [ =( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.71/4.64 Y, X ), falsehood ) ), implies( X, Z ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1328, [ =( true, ifeq( 'is_a_theorem'( X ), true,
% 1.71/4.64 'is_a_theorem'( implies( Y, X ) ), true ) ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.71/4.64 substitution( 1, [ :=( X, implies( implies( X, implies( implies( Y, X ),
% 1.71/4.64 falsehood ) ), implies( X, Z ) ) ), :=( Y, T )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1332, [ =( true, 'is_a_theorem'( implies( X, implies( implies( Y,
% 1.71/4.64 implies( implies( Z, Y ), falsehood ) ), implies( Y, T ) ) ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1330, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( T
% 1.71/4.64 , implies( implies( X, implies( implies( Y, X ), falsehood ) ), implies(
% 1.71/4.64 X, Z ) ) ) ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies( X
% 1.71/4.64 , implies( implies( Y, implies( implies( Z, Y ), falsehood ) ), implies(
% 1.71/4.64 Y, T ) ) ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z
% 1.71/4.64 ), :=( Z, T ), :=( T, X )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1333, [ =( 'is_a_theorem'( implies( X, implies( implies( Y, implies(
% 1.71/4.64 implies( Z, Y ), falsehood ) ), implies( Y, T ) ) ) ), true ) ] )
% 1.71/4.64 , clause( 1332, [ =( true, 'is_a_theorem'( implies( X, implies( implies( Y
% 1.71/4.64 , implies( implies( Z, Y ), falsehood ) ), implies( Y, T ) ) ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.71/4.64 ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 516, [ =( 'is_a_theorem'( implies( T, implies( implies( X, implies(
% 1.71/4.64 implies( Y, X ), falsehood ) ), implies( X, Z ) ) ) ), true ) ] )
% 1.71/4.64 , clause( 1333, [ =( 'is_a_theorem'( implies( X, implies( implies( Y,
% 1.71/4.64 implies( implies( Z, Y ), falsehood ) ), implies( Y, T ) ) ) ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 1.71/4.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1335, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( implies(
% 1.71/4.64 Y, X ), Z ) ) ), true, 'is_a_theorem'( implies( X, Z ) ), true ) ) ] )
% 1.71/4.64 , clause( 514, [ =( ifeq( 'is_a_theorem'( implies( X, implies( implies( Y,
% 1.71/4.64 X ), Z ) ) ), true, 'is_a_theorem'( implies( X, Z ) ), true ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1337, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( implies(
% 1.71/4.64 implies( X, Y ), falsehood ), implies( Y, Z ) ) ), true ) ) ] )
% 1.71/4.64 , clause( 516, [ =( 'is_a_theorem'( implies( T, implies( implies( X,
% 1.71/4.64 implies( implies( Y, X ), falsehood ) ), implies( X, Z ) ) ) ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , 0, clause( 1335, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies(
% 1.71/4.64 implies( Y, X ), Z ) ) ), true, 'is_a_theorem'( implies( X, Z ) ), true )
% 1.71/4.64 ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T,
% 1.71/4.64 implies( implies( X, Y ), falsehood ) )] ), substitution( 1, [ :=( X,
% 1.71/4.64 implies( implies( X, Y ), falsehood ) ), :=( Y, Y ), :=( Z, implies( Y, Z
% 1.71/4.64 ) )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1339, [ =( true, 'is_a_theorem'( implies( implies( implies( X, Y )
% 1.71/4.64 , falsehood ), implies( Y, Z ) ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1337, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 1.71/4.64 implies( implies( X, Y ), falsehood ), implies( Y, Z ) ) ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 1.71/4.64 implies( implies( X, Y ), falsehood ), implies( Y, Z ) ) ) ), :=( Z, true
% 1.71/4.64 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1340, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.71/4.64 falsehood ), implies( Y, Z ) ) ), true ) ] )
% 1.71/4.64 , clause( 1339, [ =( true, 'is_a_theorem'( implies( implies( implies( X, Y
% 1.71/4.64 ), falsehood ), implies( Y, Z ) ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 549, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.71/4.64 falsehood ), implies( Y, Z ) ) ), true ) ] )
% 1.71/4.64 , clause( 1340, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.71/4.64 falsehood ), implies( Y, Z ) ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.71/4.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1342, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( implies(
% 1.71/4.64 Y, X ), Z ) ) ), true, 'is_a_theorem'( implies( X, Z ) ), true ) ) ] )
% 1.71/4.64 , clause( 514, [ =( ifeq( 'is_a_theorem'( implies( X, implies( implies( Y,
% 1.71/4.64 X ), Z ) ) ), true, 'is_a_theorem'( implies( X, Z ) ), true ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1344, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( X,
% 1.71/4.64 implies( implies( X, Y ), Y ) ) ), true ) ) ] )
% 1.71/4.64 , clause( 66, [ =( 'is_a_theorem'( implies( Z, implies( implies( implies( X
% 1.71/4.64 , Y ), X ), implies( implies( X, Y ), Y ) ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1342, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies(
% 1.71/4.64 implies( Y, X ), Z ) ) ), true, 'is_a_theorem'( implies( X, Z ) ), true )
% 1.71/4.64 ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X )] ),
% 1.71/4.64 substitution( 1, [ :=( X, X ), :=( Y, implies( X, Y ) ), :=( Z, implies(
% 1.71/4.64 implies( X, Y ), Y ) )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1346, [ =( true, 'is_a_theorem'( implies( X, implies( implies( X, Y
% 1.71/4.64 ), Y ) ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1344, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( X
% 1.71/4.64 , implies( implies( X, Y ), Y ) ) ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies( X
% 1.71/4.64 , implies( implies( X, Y ), Y ) ) ) ), :=( Z, true )] ), substitution( 1
% 1.71/4.64 , [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1347, [ =( 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y
% 1.71/4.64 ) ) ), true ) ] )
% 1.71/4.64 , clause( 1346, [ =( true, 'is_a_theorem'( implies( X, implies( implies( X
% 1.71/4.64 , Y ), Y ) ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 551, [ =( 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 1.71/4.64 ) ), true ) ] )
% 1.71/4.64 , clause( 1347, [ =( 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 1.71/4.64 Y ) ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.71/4.64 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1349, [ =( true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'(
% 1.71/4.64 implies( Y, X ) ), true ) ) ] )
% 1.71/4.64 , clause( 9, [ =( ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( implies(
% 1.71/4.64 Y, X ) ), true ), true ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1351, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( Z,
% 1.71/4.64 implies( X, implies( implies( X, Y ), Y ) ) ) ), true ) ) ] )
% 1.71/4.64 , clause( 551, [ =( 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y
% 1.71/4.64 ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1349, [ =( true, ifeq( 'is_a_theorem'( X ), true,
% 1.71/4.64 'is_a_theorem'( implies( Y, X ) ), true ) ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.71/4.64 :=( X, implies( X, implies( implies( X, Y ), Y ) ) ), :=( Y, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1353, [ =( true, 'is_a_theorem'( implies( X, implies( Y, implies(
% 1.71/4.64 implies( Y, Z ), Z ) ) ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1351, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( Z
% 1.71/4.64 , implies( X, implies( implies( X, Y ), Y ) ) ) ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies( X
% 1.71/4.64 , implies( Y, implies( implies( Y, Z ), Z ) ) ) ) ), :=( Z, true )] ),
% 1.71/4.64 substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1354, [ =( 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.71/4.64 Y, Z ), Z ) ) ) ), true ) ] )
% 1.71/4.64 , clause( 1353, [ =( true, 'is_a_theorem'( implies( X, implies( Y, implies(
% 1.71/4.64 implies( Y, Z ), Z ) ) ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 565, [ =( 'is_a_theorem'( implies( Z, implies( X, implies( implies(
% 1.71/4.64 X, Y ), Y ) ) ) ), true ) ] )
% 1.71/4.64 , clause( 1354, [ =( 'is_a_theorem'( implies( X, implies( Y, implies(
% 1.71/4.64 implies( Y, Z ), Z ) ) ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.71/4.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1356, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( Y, Z )
% 1.71/4.64 ) ), true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z ) ) )
% 1.71/4.64 , true ) ) ] )
% 1.71/4.64 , clause( 12, [ =( ifeq( 'is_a_theorem'( implies( X, implies( Y, Z ) ) ),
% 1.71/4.64 true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z ) ) ), true
% 1.71/4.64 ), true ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1358, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( implies(
% 1.71/4.64 X, Y ), implies( X, implies( implies( Y, Z ), Z ) ) ) ), true ) ) ] )
% 1.71/4.64 , clause( 565, [ =( 'is_a_theorem'( implies( Z, implies( X, implies(
% 1.71/4.64 implies( X, Y ), Y ) ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1356, [ =( true, ifeq( 'is_a_theorem'( implies( X, implies( Y
% 1.71/4.64 , Z ) ) ), true, 'is_a_theorem'( implies( implies( X, Y ), implies( X, Z
% 1.71/4.64 ) ) ), true ) ) ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 1.71/4.64 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies( Y, Z
% 1.71/4.64 ), Z ) )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1360, [ =( true, 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.71/4.64 X, implies( implies( Y, Z ), Z ) ) ) ) ) ] )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1358, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 1.71/4.64 implies( X, Y ), implies( X, implies( implies( Y, Z ), Z ) ) ) ), true )
% 1.71/4.64 ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 1.71/4.64 implies( X, Y ), implies( X, implies( implies( Y, Z ), Z ) ) ) ) ), :=( Z
% 1.71/4.64 , true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 1.71/4.64 ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1361, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 1.71/4.64 implies( implies( Y, Z ), Z ) ) ) ), true ) ] )
% 1.71/4.64 , clause( 1360, [ =( true, 'is_a_theorem'( implies( implies( X, Y ),
% 1.71/4.64 implies( X, implies( implies( Y, Z ), Z ) ) ) ) ) ] )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 589, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 1.71/4.64 implies( implies( Y, Z ), Z ) ) ) ), true ) ] )
% 1.71/4.64 , clause( 1361, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 1.71/4.64 implies( implies( Y, Z ), Z ) ) ) ), true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.71/4.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1363, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 1.71/4.64 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 1.71/4.64 )
% 1.71/4.64 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 1.71/4.64 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 1.71/4.64 )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1365, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'( implies( X
% 1.71/4.64 , Y ) ), true, 'is_a_theorem'( implies( X, implies( implies( Y, Z ), Z )
% 1.71/4.64 ) ), true ), true ) ) ] )
% 1.71/4.64 , clause( 589, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 1.71/4.64 implies( implies( Y, Z ), Z ) ) ) ), true ) ] )
% 1.71/4.64 , 0, clause( 1363, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true
% 1.71/4.64 , ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) )
% 1.71/4.64 ] )
% 1.71/4.64 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.71/4.64 substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, implies( X, implies(
% 1.71/4.64 implies( Y, Z ), Z ) ) )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 paramod(
% 1.71/4.64 clause( 1370, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 1.71/4.64 'is_a_theorem'( implies( X, implies( implies( Y, Z ), Z ) ) ), true ) ) ]
% 1.71/4.64 )
% 1.71/4.64 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.64 , 0, clause( 1365, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'(
% 1.71/4.64 implies( X, Y ) ), true, 'is_a_theorem'( implies( X, implies( implies( Y
% 1.71/4.64 , Z ), Z ) ) ), true ), true ) ) ] )
% 1.71/4.64 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( 'is_a_theorem'(
% 1.71/4.64 implies( X, Y ) ), true, 'is_a_theorem'( implies( X, implies( implies( Y
% 1.71/4.64 , Z ), Z ) ) ), true ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X )
% 1.71/4.64 , :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1371, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 1.71/4.64 'is_a_theorem'( implies( X, implies( implies( Y, Z ), Z ) ) ), true ),
% 1.71/4.64 true ) ] )
% 1.71/4.64 , clause( 1370, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 1.71/4.64 'is_a_theorem'( implies( X, implies( implies( Y, Z ), Z ) ) ), true ) ) ]
% 1.71/4.64 )
% 1.71/4.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 subsumption(
% 1.71/4.64 clause( 670, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 1.71/4.64 'is_a_theorem'( implies( X, implies( implies( Y, Z ), Z ) ) ), true ),
% 1.71/4.64 true ) ] )
% 1.71/4.64 , clause( 1371, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 1.71/4.64 'is_a_theorem'( implies( X, implies( implies( Y, Z ), Z ) ) ), true ),
% 1.71/4.64 true ) ] )
% 1.71/4.64 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.71/4.64 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.64
% 1.71/4.64
% 1.71/4.64 eqswap(
% 1.71/4.64 clause( 1373, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 1.71/4.64 'is_a_theorem'( implies( X, implies( implies( Y, Z ), Z ) ) ), true ) ) ]
% 1.71/4.64 )
% 1.71/4.64 , clause( 670, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 1.71/4.65 'is_a_theorem'( implies( X, implies( implies( Y, Z ), Z ) ) ), true ),
% 1.71/4.65 true ) ] )
% 1.71/4.65 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.71/4.65
% 1.71/4.65
% 1.71/4.65 paramod(
% 1.71/4.65 clause( 1375, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( implies(
% 1.71/4.65 implies( X, Y ), falsehood ), implies( implies( implies( Y, Z ), T ), T )
% 1.71/4.65 ) ), true ) ) ] )
% 1.71/4.65 , clause( 549, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.71/4.65 falsehood ), implies( Y, Z ) ) ), true ) ] )
% 1.71/4.65 , 0, clause( 1373, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true
% 1.71/4.65 , 'is_a_theorem'( implies( X, implies( implies( Y, Z ), Z ) ) ), true ) )
% 1.71/4.65 ] )
% 1.71/4.65 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.71/4.65 substitution( 1, [ :=( X, implies( implies( X, Y ), falsehood ) ), :=( Y
% 1.71/4.65 , implies( Y, Z ) ), :=( Z, T )] )).
% 1.71/4.65
% 1.71/4.65
% 1.71/4.65 paramod(
% 1.71/4.65 clause( 1377, [ =( true, 'is_a_theorem'( implies( implies( implies( X, Y )
% 1.71/4.65 , falsehood ), implies( implies( implies( Y, Z ), T ), T ) ) ) ) ] )
% 1.71/4.65 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.65 , 0, clause( 1375, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 1.71/4.65 implies( implies( X, Y ), falsehood ), implies( implies( implies( Y, Z )
% 1.71/4.65 , T ), T ) ) ), true ) ) ] )
% 1.71/4.65 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 1.71/4.65 implies( implies( X, Y ), falsehood ), implies( implies( implies( Y, Z )
% 1.71/4.65 , T ), T ) ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y
% 1.71/4.65 , Y ), :=( Z, Z ), :=( T, T )] )).
% 1.71/4.65
% 1.71/4.65
% 1.71/4.65 eqswap(
% 1.71/4.65 clause( 1378, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.71/4.65 falsehood ), implies( implies( implies( Y, Z ), T ), T ) ) ), true ) ] )
% 1.71/4.65 , clause( 1377, [ =( true, 'is_a_theorem'( implies( implies( implies( X, Y
% 1.71/4.65 ), falsehood ), implies( implies( implies( Y, Z ), T ), T ) ) ) ) ] )
% 1.71/4.65 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.71/4.65 ).
% 1.71/4.65
% 1.71/4.65
% 1.71/4.65 subsumption(
% 1.71/4.65 clause( 1059, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.71/4.65 falsehood ), implies( implies( implies( Y, Z ), T ), T ) ) ), true ) ] )
% 1.71/4.65 , clause( 1378, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.71/4.65 falsehood ), implies( implies( implies( Y, Z ), T ), T ) ) ), true ) ] )
% 1.71/4.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.71/4.65 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.71/4.65
% 1.71/4.65
% 1.71/4.65 eqswap(
% 1.71/4.65 clause( 1380, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X,
% 1.71/4.65 falsehood ), X ) ), true, 'is_a_theorem'( X ), true ) ) ] )
% 1.71/4.65 , clause( 360, [ =( ifeq( 'is_a_theorem'( implies( implies( X, falsehood )
% 1.71/4.65 , X ) ), true, 'is_a_theorem'( X ), true ), true ) ] )
% 1.71/4.65 , 0, substitution( 0, [ :=( X, X )] )).
% 1.71/4.65
% 1.71/4.65
% 1.71/4.65 paramod(
% 1.71/4.65 clause( 1382, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( implies(
% 1.71/4.65 implies( X, Y ), X ), X ) ), true ) ) ] )
% 1.71/4.65 , clause( 1059, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.71/4.65 falsehood ), implies( implies( implies( Y, Z ), T ), T ) ) ), true ) ] )
% 1.71/4.65 , 0, clause( 1380, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X,
% 1.71/4.65 falsehood ), X ) ), true, 'is_a_theorem'( X ), true ) ) ] )
% 1.71/4.65 , 0, 3, substitution( 0, [ :=( X, implies( implies( X, Y ), X ) ), :=( Y, X
% 1.71/4.65 ), :=( Z, Y ), :=( T, X )] ), substitution( 1, [ :=( X, implies( implies(
% 1.71/4.65 implies( X, Y ), X ), X ) )] )).
% 1.71/4.65
% 1.71/4.65
% 1.71/4.65 paramod(
% 1.71/4.65 clause( 1384, [ =( true, 'is_a_theorem'( implies( implies( implies( X, Y )
% 1.71/4.65 , X ), X ) ) ) ] )
% 1.71/4.65 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 1.71/4.65 , 0, clause( 1382, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 1.71/4.65 implies( implies( X, Y ), X ), X ) ), true ) ) ] )
% 1.71/4.65 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 1.71/4.65 implies( implies( X, Y ), X ), X ) ) ), :=( Z, true )] ), substitution( 1
% 1.71/4.65 , [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.65
% 1.71/4.65
% 1.71/4.65 eqswap(
% 1.71/4.65 clause( 1385, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 1.71/4.65 X ) ), true ) ] )
% 1.71/4.65 , clause( 1384, [ =( true, 'is_a_theorem'( implies( implies( implies( X, Y
% 1.71/4.65 ), X ), X ) ) ) ] )
% 1.71/4.65 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.65
% 1.71/4.65
% 1.71/4.65 subsumption(
% 1.71/4.65 clause( 1080, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 1.71/4.65 X ) ), true ) ] )
% 1.71/4.65 , clause( 1385, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ), X )
% 1.71/4.65 , X ) ), true ) ] )
% 1.71/4.65 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.71/4.65 )] ) ).
% 1.71/4.65
% 1.71/4.65
% 1.71/4.65 eqswap(
% 1.71/4.65 clause( 1386, [ =( true, 'is_a_theorem'( implies( implies( implies( X, Y )
% 1.71/4.65 , X ), X ) ) ) ] )
% 1.71/4.65 , clause( 1080, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ), X )
% 1.71/4.65 , X ) ), true ) ] )
% 1.71/4.65 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.71/4.65
% 1.71/4.65
% 1.71/4.65 eqswap(
% 1.71/4.65 clause( 1387, [ ~( =( true, 'is_a_theorem'( implies( implies( implies( a, b
% 1.71/4.65 ), a ), a ) ) ) ) ] )
% 1.71/4.65 , clause( 5, [ ~( =( 'is_a_theorem'( implies( implies( implies( a, b ), a )
% 1.71/4.65 , a ) ), true ) ) ] )
% 1.71/4.65 , 0, substitution( 0, [] )).
% 1.71/4.65
% 1.71/4.65
% 1.71/4.65 resolution(
% 1.71/4.65 clause( 1388, [] )
% 1.71/4.65 , clause( 1387, [ ~( =( true, 'is_a_theorem'( implies( implies( implies( a
% 1.71/4.65 , b ), a ), a ) ) ) ) ] )
% 1.71/4.65 , 0, clause( 1386, [ =( true, 'is_a_theorem'( implies( implies( implies( X
% 1.71/4.65 , Y ), X ), X ) ) ) ] )
% 1.71/4.65 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 1.71/4.65 ).
% 1.71/4.65
% 1.71/4.65
% 1.71/4.65 subsumption(
% 1.71/4.65 clause( 1081, [] )
% 1.71/4.65 , clause( 1388, [] )
% 1.71/4.65 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.71/4.65
% 1.71/4.65
% 1.71/4.65 end.
% 1.71/4.65
% 1.71/4.65 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.71/4.65
% 1.71/4.65 Memory use:
% 1.71/4.65
% 1.71/4.65 space for terms: 16777
% 1.71/4.65 space for clauses: 113179
% 1.71/4.65
% 1.71/4.65
% 1.71/4.65 clauses generated: 464049
% 1.71/4.65 clauses kept: 1082
% 1.71/4.65 clauses selected: 870
% 1.71/4.65 clauses deleted: 63
% 1.71/4.65 clauses inuse deleted: 33
% 1.71/4.65
% 1.71/4.65 subsentry: 701
% 1.71/4.65 literals s-matched: 276
% 1.71/4.65 literals matched: 276
% 1.71/4.65 full subsumption: 0
% 1.71/4.65
% 1.71/4.65 checksum: 727116797
% 1.71/4.65
% 1.71/4.65
% 1.71/4.65 Bliksem ended
%------------------------------------------------------------------------------