TSTP Solution File: LCL049-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL049-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 07:49:38 EDT 2022
% Result : Unsatisfiable 1.47s 1.86s
% Output : Refutation 1.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL049-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Jul 2 12:49:25 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.47/1.86 *** allocated 10000 integers for termspace/termends
% 1.47/1.86 *** allocated 10000 integers for clauses
% 1.47/1.86 *** allocated 10000 integers for justifications
% 1.47/1.86 Bliksem 1.12
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 Automatic Strategy Selection
% 1.47/1.86
% 1.47/1.86 Clauses:
% 1.47/1.86 [
% 1.47/1.86 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 1.47/1.86 'is_a_theorem'( Y ) ],
% 1.47/1.86 [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y, Z ),
% 1.47/1.86 implies( X, Z ) ) ) ) ],
% 1.47/1.86 [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ],
% 1.47/1.86 [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ],
% 1.47/1.86 [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b ), b ) ) ) ) ]
% 1.47/1.86 ] .
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 percentage equality = 0.000000, percentage horn = 1.000000
% 1.47/1.86 This is a near-Horn, non-equality problem
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 Options Used:
% 1.47/1.86
% 1.47/1.86 useres = 1
% 1.47/1.86 useparamod = 0
% 1.47/1.86 useeqrefl = 0
% 1.47/1.86 useeqfact = 0
% 1.47/1.86 usefactor = 1
% 1.47/1.86 usesimpsplitting = 0
% 1.47/1.86 usesimpdemod = 0
% 1.47/1.86 usesimpres = 4
% 1.47/1.86
% 1.47/1.86 resimpinuse = 1000
% 1.47/1.86 resimpclauses = 20000
% 1.47/1.86 substype = standard
% 1.47/1.86 backwardsubs = 1
% 1.47/1.86 selectoldest = 5
% 1.47/1.86
% 1.47/1.86 litorderings [0] = split
% 1.47/1.86 litorderings [1] = liftord
% 1.47/1.86
% 1.47/1.86 termordering = none
% 1.47/1.86
% 1.47/1.86 litapriori = 1
% 1.47/1.86 termapriori = 0
% 1.47/1.86 litaposteriori = 0
% 1.47/1.86 termaposteriori = 0
% 1.47/1.86 demodaposteriori = 0
% 1.47/1.86 ordereqreflfact = 0
% 1.47/1.86
% 1.47/1.86 litselect = negative
% 1.47/1.86
% 1.47/1.86 maxweight = 30000
% 1.47/1.86 maxdepth = 30000
% 1.47/1.86 maxlength = 115
% 1.47/1.86 maxnrvars = 195
% 1.47/1.86 excuselevel = 0
% 1.47/1.86 increasemaxweight = 0
% 1.47/1.86
% 1.47/1.86 maxselected = 10000000
% 1.47/1.86 maxnrclauses = 10000000
% 1.47/1.86
% 1.47/1.86 showgenerated = 0
% 1.47/1.86 showkept = 0
% 1.47/1.86 showselected = 0
% 1.47/1.86 showdeleted = 0
% 1.47/1.86 showresimp = 1
% 1.47/1.86 showstatus = 2000
% 1.47/1.86
% 1.47/1.86 prologoutput = 1
% 1.47/1.86 nrgoals = 5000000
% 1.47/1.86 totalproof = 1
% 1.47/1.86
% 1.47/1.86 Symbols occurring in the translation:
% 1.47/1.86
% 1.47/1.86 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.47/1.86 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 1.47/1.86 ! [4, 1] (w:1, o:14, a:1, s:1, b:0),
% 1.47/1.86 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.47/1.86 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.47/1.86 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 1.47/1.86 'is_a_theorem' [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 1.47/1.86 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 1.47/1.86 a [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.47/1.86 b [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 Starting Search:
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 Intermediate Status:
% 1.47/1.86 Generated: 8948
% 1.47/1.86 Kept: 2000
% 1.47/1.86 Inuse: 377
% 1.47/1.86 Deleted: 44
% 1.47/1.86 Deletedinuse: 17
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 Intermediate Status:
% 1.47/1.86 Generated: 18456
% 1.47/1.86 Kept: 4018
% 1.47/1.86 Inuse: 595
% 1.47/1.86 Deleted: 59
% 1.47/1.86 Deletedinuse: 19
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 Intermediate Status:
% 1.47/1.86 Generated: 31457
% 1.47/1.86 Kept: 6020
% 1.47/1.86 Inuse: 752
% 1.47/1.86 Deleted: 98
% 1.47/1.86 Deletedinuse: 39
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 Intermediate Status:
% 1.47/1.86 Generated: 38604
% 1.47/1.86 Kept: 8034
% 1.47/1.86 Inuse: 907
% 1.47/1.86 Deleted: 131
% 1.47/1.86 Deletedinuse: 48
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 Intermediate Status:
% 1.47/1.86 Generated: 49036
% 1.47/1.86 Kept: 10037
% 1.47/1.86 Inuse: 1098
% 1.47/1.86 Deleted: 148
% 1.47/1.86 Deletedinuse: 48
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 Intermediate Status:
% 1.47/1.86 Generated: 55926
% 1.47/1.86 Kept: 12101
% 1.47/1.86 Inuse: 1214
% 1.47/1.86 Deleted: 157
% 1.47/1.86 Deletedinuse: 50
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 Intermediate Status:
% 1.47/1.86 Generated: 64982
% 1.47/1.86 Kept: 14161
% 1.47/1.86 Inuse: 1265
% 1.47/1.86 Deleted: 157
% 1.47/1.86 Deletedinuse: 50
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 Intermediate Status:
% 1.47/1.86 Generated: 75453
% 1.47/1.86 Kept: 16177
% 1.47/1.86 Inuse: 1398
% 1.47/1.86 Deleted: 171
% 1.47/1.86 Deletedinuse: 52
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 Intermediate Status:
% 1.47/1.86 Generated: 81825
% 1.47/1.86 Kept: 18266
% 1.47/1.86 Inuse: 1495
% 1.47/1.86 Deleted: 174
% 1.47/1.86 Deletedinuse: 52
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86 Resimplifying clauses:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 Intermediate Status:
% 1.47/1.86 Generated: 87938
% 1.47/1.86 Kept: 20325
% 1.47/1.86 Inuse: 1576
% 1.47/1.86 Deleted: 345
% 1.47/1.86 Deletedinuse: 52
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 Intermediate Status:
% 1.47/1.86 Generated: 98960
% 1.47/1.86 Kept: 22389
% 1.47/1.86 Inuse: 1683
% 1.47/1.86 Deleted: 346
% 1.47/1.86 Deletedinuse: 52
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 Intermediate Status:
% 1.47/1.86 Generated: 107683
% 1.47/1.86 Kept: 24394
% 1.47/1.86 Inuse: 1778
% 1.47/1.86 Deleted: 346
% 1.47/1.86 Deletedinuse: 52
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 Intermediate Status:
% 1.47/1.86 Generated: 116301
% 1.47/1.86 Kept: 26404
% 1.47/1.86 Inuse: 1857
% 1.47/1.86 Deleted: 346
% 1.47/1.86 Deletedinuse: 52
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 Bliksems!, er is een bewijs:
% 1.47/1.86 % SZS status Unsatisfiable
% 1.47/1.86 % SZS output start Refutation
% 1.47/1.86
% 1.47/1.86 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 1.47/1.86 ~( 'is_a_theorem'( X ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 1.47/1.86 , Z ), implies( X, Z ) ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 4, [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b ), b ) )
% 1.47/1.86 ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( not( X ), X ), X ), Y ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 1.47/1.86 implies( not( X ), Y ) ), Z ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.47/1.86 )
% 1.47/1.86 .
% 1.47/1.86 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.47/1.86 not( X ), X ), Y ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 1.47/1.86 , implies( X, Z ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 1.47/1.86 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 1.47/1.86 X ), Y ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 1.47/1.86 implies( X, X ) ), Y ), Z ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 1.47/1.86 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.47/1.86 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 1.47/1.86 implies( Z, X ), T ) ), U ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 1.47/1.86 Y ), Z ) ), T ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 1.47/1.86 , implies( X, Z ) ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 1.47/1.86 , Z ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.47/1.86 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 1.47/1.86 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.47/1.86 , implies( Y, Y ) ), Z ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.47/1.86 implies( Z, Y ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.47/1.86 implies( X, Y ) ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.47/1.86 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 1.47/1.86 ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 1.47/1.86 ), Z ), Z ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.47/1.86 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X ), Z
% 1.47/1.86 ) ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.47/1.86 , implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 1.47/1.86 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.47/1.86 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 1.47/1.86 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.47/1.86 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 1.47/1.86 ), X ), X ), Y ), Y ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 1.47/1.86 ), implies( X, Y ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.47/1.86 , implies( Y, X ) ), Z ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 4929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.47/1.86 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.47/1.86 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 5879, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 1.47/1.86 , implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 26834, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 1.47/1.86 ) ) ] )
% 1.47/1.86 .
% 1.47/1.86 clause( 26966, [] )
% 1.47/1.86 .
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 % SZS output end Refutation
% 1.47/1.86 found a proof!
% 1.47/1.86
% 1.47/1.86 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.47/1.86
% 1.47/1.86 initialclauses(
% 1.47/1.86 [ clause( 26968, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 1.47/1.86 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 1.47/1.86 , clause( 26969, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.47/1.86 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.47/1.86 , clause( 26970, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 1.47/1.86 )
% 1.47/1.86 , clause( 26971, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 1.47/1.86 )
% 1.47/1.86 , clause( 26972, [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b )
% 1.47/1.86 , b ) ) ) ) ] )
% 1.47/1.86 ] ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 1.47/1.86 ~( 'is_a_theorem'( X ) ) ] )
% 1.47/1.86 , clause( 26968, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 1.47/1.86 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.47/1.86 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 1.47/1.86 , Z ), implies( X, Z ) ) ) ) ] )
% 1.47/1.86 , clause( 26969, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.47/1.86 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 1.47/1.86 , clause( 26970, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 1.47/1.86 )
% 1.47/1.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 1.47/1.86 , clause( 26971, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 1.47/1.86 )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.47/1.86 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 4, [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b ), b ) )
% 1.47/1.86 ) ) ] )
% 1.47/1.86 , clause( 26972, [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b )
% 1.47/1.86 , b ) ) ) ) ] )
% 1.47/1.86 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 26974, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X
% 1.47/1.86 ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.47/1.86 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.47/1.86 , ~( 'is_a_theorem'( X ) ) ] )
% 1.47/1.86 , 2, clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 1.47/1.86 )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, implies( implies( not( X ), X ), X ) ), :=(
% 1.47/1.86 Y, Y )] ), substitution( 1, [ :=( X, X )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( not( X ), X ), X ), Y ) ) ) ] )
% 1.47/1.86 , clause( 26974, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ),
% 1.47/1.86 X ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.47/1.86 ), ==>( 1, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 26976, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X )
% 1.47/1.86 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.47/1.86 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.47/1.86 , ~( 'is_a_theorem'( X ) ) ] )
% 1.47/1.86 , 2, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 1.47/1.86 )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, implies( X, implies( not( X ), Y ) ) ), :=(
% 1.47/1.86 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 1.47/1.86 implies( not( X ), Y ) ), Z ) ) ) ] )
% 1.47/1.86 , clause( 26976, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X
% 1.47/1.86 ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 26978, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.47/1.86 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 1.47/1.86 ) ] )
% 1.47/1.86 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.47/1.86 , ~( 'is_a_theorem'( X ) ) ] )
% 1.47/1.86 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.47/1.86 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 1.47/1.86 Y, Z ), implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 1.47/1.86 ), :=( Y, Y ), :=( Z, Z )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.47/1.86 )
% 1.47/1.86 , clause( 26978, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.47/1.86 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 1.47/1.86 ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 26979, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.47/1.86 not( X ), X ), Y ) ) ) ] )
% 1.47/1.86 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( not( X ), X ), X ), Y ) ) ) ] )
% 1.47/1.86 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.47/1.86 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( X, Y ),
% 1.47/1.86 implies( implies( not( X ), X ), Y ) ) )] ), substitution( 1, [ :=( X,
% 1.47/1.86 implies( not( X ), X ) ), :=( Y, X ), :=( Z, Y )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.47/1.86 not( X ), X ), Y ) ) ) ] )
% 1.47/1.86 , clause( 26979, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.47/1.86 implies( not( X ), X ), Y ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.47/1.86 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 26981, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.47/1.86 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.47/1.86 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.47/1.86 , ~( 'is_a_theorem'( X ) ) ] )
% 1.47/1.86 , 2, clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.47/1.86 implies( not( X ), X ), Y ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 1.47/1.86 not( X ), X ), Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 1.47/1.86 :=( Y, Y )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 1.47/1.86 , clause( 26981, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.47/1.86 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 26982, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ),
% 1.47/1.86 Z ), implies( X, Z ) ) ) ] )
% 1.47/1.86 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.47/1.86 , implies( not( X ), Y ) ), Z ) ) ) ] )
% 1.47/1.86 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.47/1.86 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 1.47/1.86 implies( not( X ), Y ), Z ), implies( X, Z ) ) )] ), substitution( 1, [
% 1.47/1.86 :=( X, X ), :=( Y, implies( not( X ), Y ) ), :=( Z, Z )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 1.47/1.86 , implies( X, Z ) ) ) ] )
% 1.47/1.86 , clause( 26982, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 1.47/1.86 , Z ), implies( X, Z ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 26983, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 1.47/1.86 , implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.47/1.86 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.47/1.86 )
% 1.47/1.86 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.47/1.86 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 1.47/1.86 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 1.47/1.86 implies( Z, X ), T ) ) )] ), substitution( 1, [ :=( X, implies( Z, X ) )
% 1.47/1.86 , :=( Y, implies( implies( X, Y ), implies( Z, Y ) ) ), :=( Z, T )] )
% 1.47/1.86 ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 1.47/1.86 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.47/1.86 , clause( 26983, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.47/1.86 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 26984, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.47/1.86 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( not( X ), X ), X ), Y ) ) ) ] )
% 1.47/1.86 , 1, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 1.47/1.86 , Z ), implies( X, Z ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( X, X ) )] ),
% 1.47/1.86 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, X )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.47/1.86 , clause( 26984, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 26986, [ ~( 'is_a_theorem'( implies( implies( implies( implies( not(
% 1.47/1.86 X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.47/1.86 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.47/1.86 , ~( 'is_a_theorem'( X ) ) ] )
% 1.47/1.86 , 2, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 1.47/1.86 , Z ), implies( X, Z ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, implies( implies( implies( not( X ), Y ), Z
% 1.47/1.86 ), implies( X, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 1.47/1.86 :=( Y, Y ), :=( Z, Z )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 1.47/1.86 , clause( 26986, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.47/1.86 not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 26988, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 1.47/1.86 'is_a_theorem'( Y ) ] )
% 1.47/1.86 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.47/1.86 , ~( 'is_a_theorem'( X ) ) ] )
% 1.47/1.86 , 2, clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 1.47/1.86 substitution( 1, [ :=( X, X )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 1.47/1.86 X ), Y ) ) ) ] )
% 1.47/1.86 , clause( 26988, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 1.47/1.86 'is_a_theorem'( Y ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.47/1.86 ), ==>( 1, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 26989, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 1.47/1.86 )
% 1.47/1.86 , clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 1.47/1.86 , X ), Y ) ) ) ] )
% 1.47/1.86 , 1, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 1.47/1.86 )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( not( implies( X, X ) )
% 1.47/1.86 , Y ) )] ), substitution( 1, [ :=( X, implies( X, X ) ), :=( Y, Y )] )
% 1.47/1.86 ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 1.47/1.86 , clause( 26989, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 1.47/1.86 )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.47/1.86 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 26991, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X )
% 1.47/1.86 ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.47/1.86 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.47/1.86 , ~( 'is_a_theorem'( X ) ) ] )
% 1.47/1.86 , 2, clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 1.47/1.86 )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, implies( not( implies( X, X ) ), Y ) ), :=(
% 1.47/1.86 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 1.47/1.86 implies( X, X ) ), Y ), Z ) ) ) ] )
% 1.47/1.86 , clause( 26991, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X
% 1.47/1.86 ) ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 26992, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 1.47/1.86 ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 1.47/1.86 , clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 1.47/1.86 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.47/1.86 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 1.47/1.86 implies( implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z )
% 1.47/1.86 ) )] ), substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, implies(
% 1.47/1.86 implies( not( X ), X ), Y ) ), :=( Z, Z )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 1.47/1.86 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 1.47/1.86 , clause( 26992, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 1.47/1.86 X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 26993, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.47/1.86 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 1.47/1.86 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.47/1.86 )
% 1.47/1.86 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.47/1.86 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, implies( X, Z ) )
% 1.47/1.86 , :=( Z, T ), :=( T, implies( implies( X, Y ), implies( implies( implies(
% 1.47/1.86 X, Z ), T ), implies( implies( Y, Z ), T ) ) ) )] ), substitution( 1, [
% 1.47/1.86 :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies( implies( implies( X,
% 1.47/1.86 Z ), T ), implies( implies( Y, Z ), T ) ) )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.47/1.86 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 1.47/1.86 , clause( 26993, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.47/1.86 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 26995, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.47/1.86 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 1.47/1.86 , U ) ) ), 'is_a_theorem'( U ) ] )
% 1.47/1.86 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.47/1.86 , ~( 'is_a_theorem'( X ) ) ] )
% 1.47/1.86 , 2, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.47/1.86 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 1.47/1.86 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ), :=( Y, U )] )
% 1.47/1.86 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.47/1.86 ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 1.47/1.86 implies( Z, X ), T ) ), U ) ) ) ] )
% 1.47/1.86 , clause( 26995, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.47/1.86 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 1.47/1.86 , U ) ) ), 'is_a_theorem'( U ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.47/1.86 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 26997, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.47/1.86 implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ), T ) )
% 1.47/1.86 ), 'is_a_theorem'( T ) ] )
% 1.47/1.86 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.47/1.86 , ~( 'is_a_theorem'( X ) ) ] )
% 1.47/1.86 , 2, clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 1.47/1.86 X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 1.47/1.86 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ), :=( Y, T )] ),
% 1.47/1.86 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 1.47/1.86 Y ), Z ) ), T ) ) ) ] )
% 1.47/1.86 , clause( 26997, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.47/1.86 implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ), T ) )
% 1.47/1.86 ), 'is_a_theorem'( T ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 26998, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 1.47/1.86 Y, implies( X, Z ) ) ) ) ] )
% 1.47/1.86 , clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 1.47/1.86 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.47/1.86 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, Z ) ),
% 1.47/1.86 :=( T, implies( implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ) )] )
% 1.47/1.86 , substitution( 1, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, X ), :=( T,
% 1.47/1.86 implies( Y, implies( X, Z ) ) )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 1.47/1.86 , implies( X, Z ) ) ) ) ] )
% 1.47/1.86 , clause( 26998, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 1.47/1.86 Y, implies( X, Z ) ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 26999, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y )
% 1.47/1.86 ), Z ) ) ) ] )
% 1.47/1.86 , clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 not( implies( X, X ) ), Y ), Z ) ) ) ] )
% 1.47/1.86 , 1, clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 1.47/1.86 implies( Y, implies( X, Z ) ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 1.47/1.86 implies( not( implies( Y, Y ) ), Z ) ) )] ), substitution( 1, [ :=( X,
% 1.47/1.86 not( implies( Y, Y ) ) ), :=( Y, X ), :=( Z, Z )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 1.47/1.86 , Z ) ) ) ] )
% 1.47/1.86 , clause( 26999, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 1.47/1.86 ) ), Z ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27001, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 1.47/1.86 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.47/1.86 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.47/1.86 , ~( 'is_a_theorem'( X ) ) ] )
% 1.47/1.86 , 2, clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 1.47/1.86 ) ), Z ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, implies( X, implies( not( implies( Y, Y ) )
% 1.47/1.86 , Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 1.47/1.86 Z, Z )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.47/1.86 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 1.47/1.86 , clause( 27001, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 1.47/1.86 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27002, [ 'is_a_theorem'( implies( implies( implies( not( implies( X
% 1.47/1.86 , X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 1.47/1.86 , clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 X, implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 1.47/1.86 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.47/1.86 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 1.47/1.86 implies( implies( not( implies( X, X ) ), Y ), Z ), implies( T, Z ) ) )] )
% 1.47/1.86 , substitution( 1, [ :=( X, T ), :=( Y, implies( not( implies( X, X ) ),
% 1.47/1.86 Y ) ), :=( Z, Z )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 1.47/1.86 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 1.47/1.86 , clause( 27002, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 1.47/1.86 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27003, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 1.47/1.86 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( not( X ), X ), X ), Y ) ) ) ] )
% 1.47/1.86 , 1, clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 1.47/1.86 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, implies( Y, Y ) ), :=( Y, implies( X,
% 1.47/1.86 implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, implies( Y
% 1.47/1.86 , Y ) ), :=( Z, implies( Y, Y ) ), :=( T, X )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 1.47/1.86 , clause( 27003, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.47/1.86 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27005, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) )
% 1.47/1.86 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.47/1.86 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.47/1.86 , ~( 'is_a_theorem'( X ) ) ] )
% 1.47/1.86 , 2, clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, Y ) ) ), :=( Y, Z )] )
% 1.47/1.86 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.47/1.86 , implies( Y, Y ) ), Z ) ) ) ] )
% 1.47/1.86 , clause( 27005, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y )
% 1.47/1.86 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27006, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.47/1.86 implies( Z, Y ) ) ) ] )
% 1.47/1.86 , clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 X, implies( Y, Y ) ), Z ) ) ) ] )
% 1.47/1.86 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.47/1.86 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, implies( implies(
% 1.47/1.86 implies( X, X ), Y ), implies( Z, Y ) ) )] ), substitution( 1, [ :=( X, Z
% 1.47/1.86 ), :=( Y, implies( X, X ) ), :=( Z, Y )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.47/1.86 implies( Z, Y ) ) ) ] )
% 1.47/1.86 , clause( 27006, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.47/1.86 implies( Z, Y ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27008, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 1.47/1.86 X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.47/1.86 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.47/1.86 , ~( 'is_a_theorem'( X ) ) ] )
% 1.47/1.86 , 2, clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 1.47/1.86 , implies( Z, Y ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 1.47/1.86 implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 1.47/1.86 , Y ), :=( Z, Z )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 1.47/1.86 , clause( 27008, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 1.47/1.86 , X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27009, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.47/1.86 implies( X, Y ) ) ) ) ] )
% 1.47/1.86 , clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 1.47/1.86 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.47/1.86 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z, Z ),
% 1.47/1.86 :=( T, implies( implies( X, Y ), implies( Z, implies( X, Y ) ) ) )] ),
% 1.47/1.86 substitution( 1, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, implies( Z
% 1.47/1.86 , implies( X, Y ) ) )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.47/1.86 implies( X, Y ) ) ) ) ] )
% 1.47/1.86 , clause( 27009, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.47/1.86 implies( X, Y ) ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27010, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.47/1.86 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 1.47/1.86 , clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 1.47/1.86 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.47/1.86 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X ), :=( T, implies(
% 1.47/1.86 implies( implies( X, Y ), Z ), implies( implies( implies( T, T ), Y ), Z
% 1.47/1.86 ) ) )] ), substitution( 1, [ :=( X, implies( implies( T, T ), Y ) ),
% 1.47/1.86 :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.47/1.86 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 1.47/1.86 , clause( 27010, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.47/1.86 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27012, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.47/1.86 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.47/1.86 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.47/1.86 , ~( 'is_a_theorem'( X ) ) ] )
% 1.47/1.86 , 2, clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.47/1.86 implies( X, Y ) ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Z,
% 1.47/1.86 implies( X, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 1.47/1.86 Y, Y ), :=( Z, Z )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 1.47/1.86 , clause( 27012, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.47/1.86 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27013, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y
% 1.47/1.86 ) ) ] )
% 1.47/1.86 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( not( X ), X ), X ), Y ) ) ) ] )
% 1.47/1.86 , 1, clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 1.47/1.86 , implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( implies( implies( X, X
% 1.47/1.86 ), Y ), Y ) )] ), substitution( 1, [ :=( X, not( Y ) ), :=( Y, Y ), :=(
% 1.47/1.86 Z, Y ), :=( T, X )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 1.47/1.86 ) ] )
% 1.47/1.86 , clause( 27013, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.47/1.86 Y ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.47/1.86 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27015, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 1.47/1.86 X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.47/1.86 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.47/1.86 , ~( 'is_a_theorem'( X ) ) ] )
% 1.47/1.86 , 2, clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 1.47/1.86 , Y ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ), Y )
% 1.47/1.86 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 1.47/1.86 , clause( 27015, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 1.47/1.86 , X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27016, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 1.47/1.86 Y ), Z ), Z ) ) ) ] )
% 1.47/1.86 , clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 1.47/1.86 , 1, clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.47/1.86 implies( X, Y ) ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 1.47/1.86 implies( implies( Y, Y ), Z ), Z ) ) )] ), substitution( 1, [ :=( X,
% 1.47/1.86 implies( implies( Y, Y ), Z ) ), :=( Y, Z ), :=( Z, X )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 1.47/1.86 ), Z ), Z ) ) ) ] )
% 1.47/1.86 , clause( 27016, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 1.47/1.86 , Y ), Z ), Z ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27018, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.47/1.86 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.47/1.86 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.47/1.86 , ~( 'is_a_theorem'( X ) ) ] )
% 1.47/1.86 , 2, clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.47/1.86 Y, Y ), Z ), Z ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y, Y
% 1.47/1.86 ), Z ), Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 1.47/1.86 ), :=( Z, Z )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.47/1.86 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 1.47/1.86 , clause( 27018, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.47/1.86 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27019, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X )
% 1.47/1.86 , Z ) ) ) ) ] )
% 1.47/1.86 , clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 1.47/1.86 , 1, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 1.47/1.86 , Z ), implies( X, Z ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, Z ), :=( Z, Y ), :=( T,
% 1.47/1.86 implies( X, implies( Y, implies( not( X ), Z ) ) ) )] ), substitution( 1
% 1.47/1.86 , [ :=( X, X ), :=( Y, Z ), :=( Z, implies( Y, implies( not( X ), Z ) ) )] )
% 1.47/1.86 ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X ), Z
% 1.47/1.86 ) ) ) ) ] )
% 1.47/1.86 , clause( 27019, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X
% 1.47/1.86 ), Z ) ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27021, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.47/1.86 implies( not( X ), Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.47/1.86 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.47/1.86 , ~( 'is_a_theorem'( X ) ) ] )
% 1.47/1.86 , 2, clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X
% 1.47/1.86 ), Z ) ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( not( X ), Z
% 1.47/1.86 ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z
% 1.47/1.86 , Z )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.47/1.86 , implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 1.47/1.86 , clause( 27021, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.47/1.86 implies( not( X ), Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27022, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 1.47/1.86 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 1.47/1.86 , clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 X, implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 1.47/1.86 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.47/1.86 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 1.47/1.86 implies( implies( X, implies( not( Y ), Z ) ), T ), implies( Y, T ) ) )] )
% 1.47/1.86 , substitution( 1, [ :=( X, Y ), :=( Y, implies( X, implies( not( Y ), Z
% 1.47/1.86 ) ) ), :=( Z, T )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 1.47/1.86 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 1.47/1.86 , clause( 27022, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.47/1.86 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27023, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.47/1.86 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 1.47/1.86 , clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 1.47/1.86 implies( Z, X ), T ) ), U ) ) ) ] )
% 1.47/1.86 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.47/1.86 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 1.47/1.86 X, implies( T, Z ) ) ), :=( U, implies( implies( X, implies( Y, Z ) ),
% 1.47/1.86 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) )] ),
% 1.47/1.86 substitution( 1, [ :=( X, implies( Y, Z ) ), :=( Y, implies( T, Z ) ),
% 1.47/1.86 :=( Z, X ), :=( T, implies( implies( T, Y ), implies( X, implies( T, Z )
% 1.47/1.86 ) ) )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.47/1.86 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 1.47/1.86 , clause( 27023, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.47/1.86 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27024, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 1.47/1.86 Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 1.47/1.86 , clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 X, implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 1.47/1.86 , 1, clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 1.47/1.86 , implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 1.47/1.86 implies( X, implies( implies( Y, Y ), Z ) ), implies( T, implies( X, Z )
% 1.47/1.86 ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, implies( implies( Y, Y )
% 1.47/1.86 , Z ) ), :=( Z, Z ), :=( T, X )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 1.47/1.86 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 1.47/1.86 , clause( 27024, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 1.47/1.86 , Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27025, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.47/1.86 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 1.47/1.86 , clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 1.47/1.86 Y ), Z ) ), T ) ) ) ] )
% 1.47/1.86 , 1, clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.47/1.86 Y, Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 1.47/1.86 X, implies( implies( implies( implies( not( Y ), Y ), Y ), Z ), Z ) ) )] )
% 1.47/1.86 , substitution( 1, [ :=( X, implies( implies( implies( not( Y ), Y ), Y )
% 1.47/1.86 , Z ) ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.47/1.86 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 1.47/1.86 , clause( 27025, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.47/1.86 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27026, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 1.47/1.86 ), X ), X ), Y ), Y ) ) ] )
% 1.47/1.86 , clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 1.47/1.86 Y ), Z ) ), T ) ) ) ] )
% 1.47/1.86 , 1, clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.47/1.86 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 1.47/1.86 implies( implies( implies( not( X ), X ), X ), Y ), Y ) )] ),
% 1.47/1.86 substitution( 1, [ :=( X, implies( implies( implies( implies( not( Z ), Z
% 1.47/1.86 ), T ), U ), implies( implies( Z, T ), U ) ) ), :=( Y, X ), :=( Z, Y )] )
% 1.47/1.86 ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 1.47/1.86 ), X ), X ), Y ), Y ) ) ] )
% 1.47/1.86 , clause( 27026, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 1.47/1.86 X ), X ), X ), Y ), Y ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.47/1.86 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27028, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.47/1.86 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.47/1.86 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.47/1.86 , ~( 'is_a_theorem'( X ) ) ] )
% 1.47/1.86 , 2, clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies(
% 1.47/1.86 not( X ), X ), X ), Y ), Y ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 1.47/1.86 , X ), X ), Y ), Y ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 1.47/1.86 :=( Y, Y )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 1.47/1.86 , clause( 27028, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.47/1.86 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27029, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y
% 1.47/1.86 ) ), implies( X, Y ) ) ) ] )
% 1.47/1.86 , clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 1.47/1.86 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.47/1.86 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z,
% 1.47/1.86 implies( implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ) )] ),
% 1.47/1.86 substitution( 1, [ :=( X, implies( not( Y ), Y ) ), :=( Y, Y ), :=( Z, X
% 1.47/1.86 ), :=( T, implies( X, Y ) )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 1.47/1.86 ), implies( X, Y ) ) ) ] )
% 1.47/1.86 , clause( 27029, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ),
% 1.47/1.86 Y ) ), implies( X, Y ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.47/1.86 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27031, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.47/1.86 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.47/1.86 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.47/1.86 , ~( 'is_a_theorem'( X ) ) ] )
% 1.47/1.86 , 2, clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 1.47/1.86 , Y ) ), implies( X, Y ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( not( Y ), Y )
% 1.47/1.86 ), implies( X, Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 1.47/1.86 :=( Y, Y )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 1.47/1.86 , clause( 27031, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.47/1.86 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27032, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.47/1.86 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 1.47/1.86 , 1, clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.47/1.86 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( X, implies(
% 1.47/1.86 Y, X ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, X ),
% 1.47/1.86 :=( T, implies( Y, X ) )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.47/1.86 , clause( 27032, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.47/1.86 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27034, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 1.47/1.86 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.47/1.86 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.47/1.86 , ~( 'is_a_theorem'( X ) ) ] )
% 1.47/1.86 , 2, clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 1.47/1.86 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.47/1.86 , implies( Y, X ) ), Z ) ) ) ] )
% 1.47/1.86 , clause( 27034, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X )
% 1.47/1.86 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27035, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.47/1.86 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 1.47/1.86 , clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 X, implies( Y, X ) ), Z ) ) ) ] )
% 1.47/1.86 , 1, clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.47/1.86 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, implies( implies(
% 1.47/1.86 implies( X, Y ), Z ), implies( implies( implies( T, X ), Y ), Z ) ) )] )
% 1.47/1.86 , substitution( 1, [ :=( X, X ), :=( Y, implies( T, X ) ), :=( Z, Y ),
% 1.47/1.86 :=( T, Z )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 4929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.47/1.86 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 1.47/1.86 , clause( 27035, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.47/1.86 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27036, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.47/1.86 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 1.47/1.86 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.47/1.86 )
% 1.47/1.86 , 1, clause( 4929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 1.47/1.86 , implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 1.47/1.86 implies( implies( X, Y ), Z ), implies( implies( Z, T ), implies( Y, T )
% 1.47/1.86 ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies(
% 1.47/1.86 implies( Z, T ), implies( Y, T ) ) ), :=( T, X )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.47/1.86 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 1.47/1.86 , clause( 27036, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.47/1.86 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27037, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 1.47/1.86 , implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 1.47/1.86 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.47/1.86 )
% 1.47/1.86 , 1, clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 1.47/1.86 , implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 1.47/1.86 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies( X, T
% 1.47/1.86 ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, implies(
% 1.47/1.86 implies( X, Y ), implies( Z, Y ) ) ), :=( T, T )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 5879, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 1.47/1.86 , implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 1.47/1.86 , clause( 27037, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.47/1.86 ), implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.47/1.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27038, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 1.47/1.86 ) ) ] )
% 1.47/1.86 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.47/1.86 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 1.47/1.86 , 1, clause( 5879, [ 'is_a_theorem'( implies( implies( implies( implies( X
% 1.47/1.86 , Y ), implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, Y ), :=( Z,
% 1.47/1.86 implies( X, implies( implies( X, Y ), Y ) ) )] ), substitution( 1, [ :=(
% 1.47/1.86 X, X ), :=( Y, Y ), :=( Z, not( Y ) ), :=( T, implies( implies( X, Y ), Y
% 1.47/1.86 ) )] )).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 26834, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 1.47/1.86 ) ) ] )
% 1.47/1.86 , clause( 27038, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y
% 1.47/1.86 ) ) ) ] )
% 1.47/1.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.47/1.86 )] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 resolution(
% 1.47/1.86 clause( 27039, [] )
% 1.47/1.86 , clause( 4, [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b ), b )
% 1.47/1.86 ) ) ) ] )
% 1.47/1.86 , 0, clause( 26834, [ 'is_a_theorem'( implies( X, implies( implies( X, Y )
% 1.47/1.86 , Y ) ) ) ] )
% 1.47/1.86 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 1.47/1.86 ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 subsumption(
% 1.47/1.86 clause( 26966, [] )
% 1.47/1.86 , clause( 27039, [] )
% 1.47/1.86 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 end.
% 1.47/1.86
% 1.47/1.86 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.47/1.86
% 1.47/1.86 Memory use:
% 1.47/1.86
% 1.47/1.86 space for terms: 603691
% 1.47/1.86 space for clauses: 3109426
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 clauses generated: 119651
% 1.47/1.86 clauses kept: 26967
% 1.47/1.86 clauses selected: 1908
% 1.47/1.86 clauses deleted: 346
% 1.47/1.86 clauses inuse deleted: 52
% 1.47/1.86
% 1.47/1.86 subsentry: 98949
% 1.47/1.86 literals s-matched: 93032
% 1.47/1.86 literals matched: 93031
% 1.47/1.86 full subsumption: 0
% 1.47/1.86
% 1.47/1.86 checksum: 1462834506
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 Bliksem ended
%------------------------------------------------------------------------------