TSTP Solution File: LCL401-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL401-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 07:53:20 EDT 2022
% Result : Unsatisfiable 1.10s 1.49s
% Output : Refutation 1.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL401-1 : TPTP v8.1.0. Released v2.3.0.
% 0.10/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n009.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 : Mon Jul 4 12:23:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.10/1.49 *** allocated 10000 integers for termspace/termends
% 1.10/1.49 *** allocated 10000 integers for clauses
% 1.10/1.49 *** allocated 10000 integers for justifications
% 1.10/1.49 Bliksem 1.12
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 Automatic Strategy Selection
% 1.10/1.49
% 1.10/1.49 Clauses:
% 1.10/1.49 [
% 1.10/1.49 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 1.10/1.49 'is_a_theorem'( Y ) ],
% 1.10/1.49 [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y, Z ),
% 1.10/1.49 implies( X, Z ) ) ) ) ],
% 1.10/1.49 [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ],
% 1.10/1.49 [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ],
% 1.10/1.49 [ ~( 'is_a_theorem'( implies( not( implies( x, y ) ), not( y ) ) ) ) ]
% 1.10/1.49 ] .
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 percentage equality = 0.000000, percentage horn = 1.000000
% 1.10/1.49 This is a near-Horn, non-equality problem
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 Options Used:
% 1.10/1.49
% 1.10/1.49 useres = 1
% 1.10/1.49 useparamod = 0
% 1.10/1.49 useeqrefl = 0
% 1.10/1.49 useeqfact = 0
% 1.10/1.49 usefactor = 1
% 1.10/1.49 usesimpsplitting = 0
% 1.10/1.49 usesimpdemod = 0
% 1.10/1.49 usesimpres = 4
% 1.10/1.49
% 1.10/1.49 resimpinuse = 1000
% 1.10/1.49 resimpclauses = 20000
% 1.10/1.49 substype = standard
% 1.10/1.49 backwardsubs = 1
% 1.10/1.49 selectoldest = 5
% 1.10/1.49
% 1.10/1.49 litorderings [0] = split
% 1.10/1.49 litorderings [1] = liftord
% 1.10/1.49
% 1.10/1.49 termordering = none
% 1.10/1.49
% 1.10/1.49 litapriori = 1
% 1.10/1.49 termapriori = 0
% 1.10/1.49 litaposteriori = 0
% 1.10/1.49 termaposteriori = 0
% 1.10/1.49 demodaposteriori = 0
% 1.10/1.49 ordereqreflfact = 0
% 1.10/1.49
% 1.10/1.49 litselect = negative
% 1.10/1.49
% 1.10/1.49 maxweight = 30000
% 1.10/1.49 maxdepth = 30000
% 1.10/1.49 maxlength = 115
% 1.10/1.49 maxnrvars = 195
% 1.10/1.49 excuselevel = 0
% 1.10/1.49 increasemaxweight = 0
% 1.10/1.49
% 1.10/1.49 maxselected = 10000000
% 1.10/1.49 maxnrclauses = 10000000
% 1.10/1.49
% 1.10/1.49 showgenerated = 0
% 1.10/1.49 showkept = 0
% 1.10/1.49 showselected = 0
% 1.10/1.49 showdeleted = 0
% 1.10/1.49 showresimp = 1
% 1.10/1.49 showstatus = 2000
% 1.10/1.49
% 1.10/1.49 prologoutput = 1
% 1.10/1.49 nrgoals = 5000000
% 1.10/1.49 totalproof = 1
% 1.10/1.49
% 1.10/1.49 Symbols occurring in the translation:
% 1.10/1.49
% 1.10/1.49 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.10/1.49 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 1.10/1.49 ! [4, 1] (w:1, o:14, a:1, s:1, b:0),
% 1.10/1.49 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.10/1.49 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.10/1.49 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 1.10/1.49 'is_a_theorem' [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 1.10/1.49 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 1.10/1.49 x [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.10/1.49 y [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 Starting Search:
% 1.10/1.49
% 1.10/1.49 Resimplifying inuse:
% 1.10/1.49 Done
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 Intermediate Status:
% 1.10/1.49 Generated: 8948
% 1.10/1.49 Kept: 2000
% 1.10/1.49 Inuse: 377
% 1.10/1.49 Deleted: 44
% 1.10/1.49 Deletedinuse: 17
% 1.10/1.49
% 1.10/1.49 Resimplifying inuse:
% 1.10/1.49 Done
% 1.10/1.49
% 1.10/1.49 Resimplifying inuse:
% 1.10/1.49 Done
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 Intermediate Status:
% 1.10/1.49 Generated: 18456
% 1.10/1.49 Kept: 4018
% 1.10/1.49 Inuse: 595
% 1.10/1.49 Deleted: 59
% 1.10/1.49 Deletedinuse: 19
% 1.10/1.49
% 1.10/1.49 Resimplifying inuse:
% 1.10/1.49 Done
% 1.10/1.49
% 1.10/1.49 Resimplifying inuse:
% 1.10/1.49 Done
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 Intermediate Status:
% 1.10/1.49 Generated: 31457
% 1.10/1.49 Kept: 6020
% 1.10/1.49 Inuse: 752
% 1.10/1.49 Deleted: 98
% 1.10/1.49 Deletedinuse: 39
% 1.10/1.49
% 1.10/1.49 Resimplifying inuse:
% 1.10/1.49 Done
% 1.10/1.49
% 1.10/1.49 Resimplifying inuse:
% 1.10/1.49 Done
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 Intermediate Status:
% 1.10/1.49 Generated: 38604
% 1.10/1.49 Kept: 8034
% 1.10/1.49 Inuse: 907
% 1.10/1.49 Deleted: 131
% 1.10/1.49 Deletedinuse: 48
% 1.10/1.49
% 1.10/1.49 Resimplifying inuse:
% 1.10/1.49 Done
% 1.10/1.49
% 1.10/1.49 Resimplifying inuse:
% 1.10/1.49 Done
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 Intermediate Status:
% 1.10/1.49 Generated: 49036
% 1.10/1.49 Kept: 10037
% 1.10/1.49 Inuse: 1098
% 1.10/1.49 Deleted: 148
% 1.10/1.49 Deletedinuse: 48
% 1.10/1.49
% 1.10/1.49 Resimplifying inuse:
% 1.10/1.49 Done
% 1.10/1.49
% 1.10/1.49 Resimplifying inuse:
% 1.10/1.49 Done
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 Intermediate Status:
% 1.10/1.49 Generated: 55926
% 1.10/1.49 Kept: 12101
% 1.10/1.49 Inuse: 1214
% 1.10/1.49 Deleted: 157
% 1.10/1.49 Deletedinuse: 50
% 1.10/1.49
% 1.10/1.49 Resimplifying inuse:
% 1.10/1.49 Done
% 1.10/1.49
% 1.10/1.49 Resimplifying inuse:
% 1.10/1.49 Done
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 Intermediate Status:
% 1.10/1.49 Generated: 64982
% 1.10/1.49 Kept: 14161
% 1.10/1.49 Inuse: 1265
% 1.10/1.49 Deleted: 157
% 1.10/1.49 Deletedinuse: 50
% 1.10/1.49
% 1.10/1.49 Resimplifying inuse:
% 1.10/1.49 Done
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 Bliksems!, er is een bewijs:
% 1.10/1.49 % SZS status Unsatisfiable
% 1.10/1.49 % SZS output start Refutation
% 1.10/1.49
% 1.10/1.49 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 1.10/1.49 ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 1.10/1.49 , Z ), implies( X, Z ) ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 4, [ ~( 'is_a_theorem'( implies( not( implies( x, y ) ), not( y ) )
% 1.10/1.49 ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( not( X ), X ), X ), Y ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 1.10/1.49 implies( not( X ), Y ) ), Z ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.10/1.49 )
% 1.10/1.49 .
% 1.10/1.49 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.10/1.49 not( X ), X ), Y ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 1.10/1.49 , implies( X, Z ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 1.10/1.49 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 1.10/1.49 X ), Y ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 1.10/1.49 implies( X, X ) ), Y ), Z ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 1.10/1.49 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.10/1.49 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 1.10/1.49 implies( Z, X ), T ) ), U ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 1.10/1.49 Y ), Z ) ), T ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 1.10/1.49 , implies( X, Z ) ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 1.10/1.49 , Z ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.10/1.49 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 1.10/1.49 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.10/1.49 , implies( Y, Y ) ), Z ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.10/1.49 implies( Z, Y ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.10/1.49 implies( X, Y ) ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.10/1.49 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 1.10/1.49 ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 1.10/1.49 ), Z ), Z ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.10/1.49 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X ), Z
% 1.10/1.49 ) ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.10/1.49 , implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 1.10/1.49 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.10/1.49 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 1.10/1.49 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.10/1.49 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 1.10/1.49 ), X ), X ), Y ), Y ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 1852, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 1.10/1.49 ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 1975, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 1.10/1.49 implies( implies( X, Z ), T ), implies( Y, T ) ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 1.10/1.49 ), implies( X, Y ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 4724, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 1.10/1.49 implies( Y, X ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 4770, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 1.10/1.49 implies( Y, X ), X ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.10/1.49 , implies( Y, X ) ), Z ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 4929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.10/1.49 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 4949, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.10/1.49 implies( Y, Z ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.10/1.49 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 5874, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 1.10/1.49 ) ), T ), implies( not( X ), T ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 5883, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 5906, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 5926, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 5989, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 not( not( X ) ), X ), Y ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 6368, [ 'is_a_theorem'( implies( implies( X, not( X ) ), not( X ) )
% 1.10/1.49 ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 6369, [ 'is_a_theorem'( implies( X, not( not( X ) ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 6533, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 1.10/1.49 , not( not( X ) ) ), Y ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 6538, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, not( X ) ), not( X ) ), Y ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 6745, [ 'is_a_theorem'( implies( X, not( not( implies( Y, X ) ) ) )
% 1.10/1.49 ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 6921, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.10/1.49 , not( not( implies( Y, X ) ) ) ), Z ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 14109, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.10/1.49 implies( not( implies( T, X ) ), Z ) ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 14805, [ 'is_a_theorem'( implies( not( implies( X, Y ) ), not( Y )
% 1.10/1.49 ) ) ] )
% 1.10/1.49 .
% 1.10/1.49 clause( 14832, [] )
% 1.10/1.49 .
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 % SZS output end Refutation
% 1.10/1.49 found a proof!
% 1.10/1.49
% 1.10/1.49 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.10/1.49
% 1.10/1.49 initialclauses(
% 1.10/1.49 [ clause( 14834, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 1.10/1.49 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 1.10/1.49 , clause( 14835, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.10/1.49 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , clause( 14836, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 1.10/1.49 )
% 1.10/1.49 , clause( 14837, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 1.10/1.49 )
% 1.10/1.49 , clause( 14838, [ ~( 'is_a_theorem'( implies( not( implies( x, y ) ), not(
% 1.10/1.49 y ) ) ) ) ] )
% 1.10/1.49 ] ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 1.10/1.49 ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , clause( 14834, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 1.10/1.49 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.10/1.49 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 1.10/1.49 , Z ), implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , clause( 14835, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.10/1.49 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 1.10/1.49 , clause( 14836, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 1.10/1.49 )
% 1.10/1.49 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 1.10/1.49 , clause( 14837, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 1.10/1.49 )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.10/1.49 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 4, [ ~( 'is_a_theorem'( implies( not( implies( x, y ) ), not( y ) )
% 1.10/1.49 ) ) ] )
% 1.10/1.49 , clause( 14838, [ ~( 'is_a_theorem'( implies( not( implies( x, y ) ), not(
% 1.10/1.49 y ) ) ) ) ] )
% 1.10/1.49 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14840, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X
% 1.10/1.49 ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 1.10/1.49 )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( implies( not( X ), X ), X ) ), :=(
% 1.10/1.49 Y, Y )] ), substitution( 1, [ :=( X, X )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( not( X ), X ), X ), Y ) ) ) ] )
% 1.10/1.49 , clause( 14840, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ),
% 1.10/1.49 X ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.10/1.49 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14842, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X )
% 1.10/1.49 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 1.10/1.49 )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( X, implies( not( X ), Y ) ) ), :=(
% 1.10/1.49 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 1.10/1.49 implies( not( X ), Y ) ), Z ) ) ) ] )
% 1.10/1.49 , clause( 14842, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X
% 1.10/1.49 ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14844, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.10/1.49 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 1.10/1.49 ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.10/1.49 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 1.10/1.49 Y, Z ), implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 1.10/1.49 ), :=( Y, Y ), :=( Z, Z )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.10/1.49 )
% 1.10/1.49 , clause( 14844, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.10/1.49 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 1.10/1.49 ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14845, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.10/1.49 not( X ), X ), Y ) ) ) ] )
% 1.10/1.49 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( not( X ), X ), X ), Y ) ) ) ] )
% 1.10/1.49 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.10/1.49 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( X, Y ),
% 1.10/1.49 implies( implies( not( X ), X ), Y ) ) )] ), substitution( 1, [ :=( X,
% 1.10/1.49 implies( not( X ), X ) ), :=( Y, X ), :=( Z, Y )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.10/1.49 not( X ), X ), Y ) ) ) ] )
% 1.10/1.49 , clause( 14845, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.10/1.49 implies( not( X ), X ), Y ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.10/1.49 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14847, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.10/1.49 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.10/1.49 implies( not( X ), X ), Y ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 1.10/1.49 not( X ), X ), Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 1.10/1.49 :=( Y, Y )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 1.10/1.49 , clause( 14847, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.10/1.49 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14848, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ),
% 1.10/1.49 Z ), implies( X, Z ) ) ) ] )
% 1.10/1.49 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.10/1.49 , implies( not( X ), Y ) ), Z ) ) ) ] )
% 1.10/1.49 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.10/1.49 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 1.10/1.49 implies( not( X ), Y ), Z ), implies( X, Z ) ) )] ), substitution( 1, [
% 1.10/1.49 :=( X, X ), :=( Y, implies( not( X ), Y ) ), :=( Z, Z )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 1.10/1.49 , implies( X, Z ) ) ) ] )
% 1.10/1.49 , clause( 14848, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 1.10/1.49 , Z ), implies( X, Z ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14849, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 1.10/1.49 , implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.10/1.49 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.10/1.49 )
% 1.10/1.49 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.10/1.49 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 1.10/1.49 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 1.10/1.49 implies( Z, X ), T ) ) )] ), substitution( 1, [ :=( X, implies( Z, X ) )
% 1.10/1.49 , :=( Y, implies( implies( X, Y ), implies( Z, Y ) ) ), :=( Z, T )] )
% 1.10/1.49 ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 1.10/1.49 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.10/1.49 , clause( 14849, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.10/1.49 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14850, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.10/1.49 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( not( X ), X ), X ), Y ) ) ) ] )
% 1.10/1.49 , 1, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 1.10/1.49 , Z ), implies( X, Z ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( X, X ) )] ),
% 1.10/1.49 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, X )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.10/1.49 , clause( 14850, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14852, [ ~( 'is_a_theorem'( implies( implies( implies( implies( not(
% 1.10/1.49 X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 1.10/1.49 , Z ), implies( X, Z ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( implies( implies( not( X ), Y ), Z
% 1.10/1.49 ), implies( X, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 1.10/1.49 :=( Y, Y ), :=( Z, Z )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 1.10/1.49 , clause( 14852, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.10/1.49 not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14854, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 1.10/1.49 'is_a_theorem'( Y ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 1.10/1.49 substitution( 1, [ :=( X, X )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 1.10/1.49 X ), Y ) ) ) ] )
% 1.10/1.49 , clause( 14854, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 1.10/1.49 'is_a_theorem'( Y ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.10/1.49 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14855, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 1.10/1.49 )
% 1.10/1.49 , clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 1.10/1.49 , X ), Y ) ) ) ] )
% 1.10/1.49 , 1, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 1.10/1.49 )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( not( implies( X, X ) )
% 1.10/1.49 , Y ) )] ), substitution( 1, [ :=( X, implies( X, X ) ), :=( Y, Y )] )
% 1.10/1.49 ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 1.10/1.49 , clause( 14855, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 1.10/1.49 )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.10/1.49 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14857, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X )
% 1.10/1.49 ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 1.10/1.49 )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( not( implies( X, X ) ), Y ) ), :=(
% 1.10/1.49 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 1.10/1.49 implies( X, X ) ), Y ), Z ) ) ) ] )
% 1.10/1.49 , clause( 14857, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X
% 1.10/1.49 ) ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14858, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 1.10/1.49 ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 1.10/1.49 , clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 1.10/1.49 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.10/1.49 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 1.10/1.49 implies( implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z )
% 1.10/1.49 ) )] ), substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, implies(
% 1.10/1.49 implies( not( X ), X ), Y ) ), :=( Z, Z )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 1.10/1.49 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 1.10/1.49 , clause( 14858, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 1.10/1.49 X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14859, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.10/1.49 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 1.10/1.49 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.10/1.49 )
% 1.10/1.49 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.10/1.49 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, implies( X, Z ) )
% 1.10/1.49 , :=( Z, T ), :=( T, implies( implies( X, Y ), implies( implies( implies(
% 1.10/1.49 X, Z ), T ), implies( implies( Y, Z ), T ) ) ) )] ), substitution( 1, [
% 1.10/1.49 :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies( implies( implies( X,
% 1.10/1.49 Z ), T ), implies( implies( Y, Z ), T ) ) )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.10/1.49 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 1.10/1.49 , clause( 14859, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.10/1.49 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14861, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.10/1.49 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 1.10/1.49 , U ) ) ), 'is_a_theorem'( U ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.10/1.49 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 1.10/1.49 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ), :=( Y, U )] )
% 1.10/1.49 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.10/1.49 ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 1.10/1.49 implies( Z, X ), T ) ), U ) ) ) ] )
% 1.10/1.49 , clause( 14861, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.10/1.49 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 1.10/1.49 , U ) ) ), 'is_a_theorem'( U ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.10/1.49 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14863, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.10/1.49 implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ), T ) )
% 1.10/1.49 ), 'is_a_theorem'( T ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 1.10/1.49 X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 1.10/1.49 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ), :=( Y, T )] ),
% 1.10/1.49 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 1.10/1.49 Y ), Z ) ), T ) ) ) ] )
% 1.10/1.49 , clause( 14863, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.10/1.49 implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ), T ) )
% 1.10/1.49 ), 'is_a_theorem'( T ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14864, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 1.10/1.49 Y, implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 1.10/1.49 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.10/1.49 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, Z ) ),
% 1.10/1.49 :=( T, implies( implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ) )] )
% 1.10/1.49 , substitution( 1, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, X ), :=( T,
% 1.10/1.49 implies( Y, implies( X, Z ) ) )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 1.10/1.49 , implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , clause( 14864, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 1.10/1.49 Y, implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14865, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y )
% 1.10/1.49 ), Z ) ) ) ] )
% 1.10/1.49 , clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 not( implies( X, X ) ), Y ), Z ) ) ) ] )
% 1.10/1.49 , 1, clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 1.10/1.49 implies( Y, implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 1.10/1.49 implies( not( implies( Y, Y ) ), Z ) ) )] ), substitution( 1, [ :=( X,
% 1.10/1.49 not( implies( Y, Y ) ) ), :=( Y, X ), :=( Z, Z )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 1.10/1.49 , Z ) ) ) ] )
% 1.10/1.49 , clause( 14865, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 1.10/1.49 ) ), Z ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14867, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y )
% 1.10/1.49 ), implies( Y, implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 1.10/1.49 implies( Y, implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( implies( X, not( Y ) ), implies( Y
% 1.10/1.49 , implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 1.10/1.49 :=( Y, Y ), :=( Z, Z )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 1.10/1.49 , clause( 14867, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y
% 1.10/1.49 ) ), implies( Y, implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14869, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 1.10/1.49 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 1.10/1.49 ) ), Z ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( X, implies( not( implies( Y, Y ) )
% 1.10/1.49 , Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 1.10/1.49 Z, Z )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.10/1.49 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 1.10/1.49 , clause( 14869, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 1.10/1.49 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14870, [ 'is_a_theorem'( implies( implies( implies( not( implies( X
% 1.10/1.49 , X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 1.10/1.49 , clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 X, implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 1.10/1.49 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.10/1.49 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 1.10/1.49 implies( implies( not( implies( X, X ) ), Y ), Z ), implies( T, Z ) ) )] )
% 1.10/1.49 , substitution( 1, [ :=( X, T ), :=( Y, implies( not( implies( X, X ) ),
% 1.10/1.49 Y ) ), :=( Z, Z )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 1.10/1.49 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 1.10/1.49 , clause( 14870, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 1.10/1.49 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14871, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 1.10/1.49 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( not( X ), X ), X ), Y ) ) ) ] )
% 1.10/1.49 , 1, clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 1.10/1.49 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( Y, Y ) ), :=( Y, implies( X,
% 1.10/1.49 implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, implies( Y
% 1.10/1.49 , Y ) ), :=( Z, implies( Y, Y ) ), :=( T, X )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 1.10/1.49 , clause( 14871, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.10/1.49 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14873, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) )
% 1.10/1.49 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, Y ) ) ), :=( Y, Z )] )
% 1.10/1.49 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.10/1.49 , implies( Y, Y ) ), Z ) ) ) ] )
% 1.10/1.49 , clause( 14873, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y )
% 1.10/1.49 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14874, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.10/1.49 implies( Z, Y ) ) ) ] )
% 1.10/1.49 , clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 X, implies( Y, Y ) ), Z ) ) ) ] )
% 1.10/1.49 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.10/1.49 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, implies( implies(
% 1.10/1.49 implies( X, X ), Y ), implies( Z, Y ) ) )] ), substitution( 1, [ :=( X, Z
% 1.10/1.49 ), :=( Y, implies( X, X ) ), :=( Z, Y )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.10/1.49 implies( Z, Y ) ) ) ] )
% 1.10/1.49 , clause( 14874, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.10/1.49 implies( Z, Y ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14876, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 1.10/1.49 X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 1.10/1.49 , implies( Z, Y ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 1.10/1.49 implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 1.10/1.49 , Y ), :=( Z, Z )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 1.10/1.49 , clause( 14876, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 1.10/1.49 , X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14877, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.10/1.49 implies( X, Y ) ) ) ) ] )
% 1.10/1.49 , clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 1.10/1.49 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.10/1.49 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z, Z ),
% 1.10/1.49 :=( T, implies( implies( X, Y ), implies( Z, implies( X, Y ) ) ) )] ),
% 1.10/1.49 substitution( 1, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, implies( Z
% 1.10/1.49 , implies( X, Y ) ) )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.10/1.49 implies( X, Y ) ) ) ) ] )
% 1.10/1.49 , clause( 14877, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.10/1.49 implies( X, Y ) ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14878, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.10/1.49 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 1.10/1.49 , clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 1.10/1.49 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.10/1.49 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X ), :=( T, implies(
% 1.10/1.49 implies( implies( X, Y ), Z ), implies( implies( implies( T, T ), Y ), Z
% 1.10/1.49 ) ) )] ), substitution( 1, [ :=( X, implies( implies( T, T ), Y ) ),
% 1.10/1.49 :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.10/1.49 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 1.10/1.49 , clause( 14878, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.10/1.49 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14880, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.10/1.49 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.10/1.49 implies( X, Y ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Z,
% 1.10/1.49 implies( X, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 1.10/1.49 Y, Y ), :=( Z, Z )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 1.10/1.49 , clause( 14880, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.10/1.49 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14881, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y
% 1.10/1.49 ) ) ] )
% 1.10/1.49 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( not( X ), X ), X ), Y ) ) ) ] )
% 1.10/1.49 , 1, clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 1.10/1.49 , implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( implies( implies( X, X
% 1.10/1.49 ), Y ), Y ) )] ), substitution( 1, [ :=( X, not( Y ) ), :=( Y, Y ), :=(
% 1.10/1.49 Z, Y ), :=( T, X )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 1.10/1.49 ) ] )
% 1.10/1.49 , clause( 14881, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.10/1.49 Y ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.10/1.49 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14883, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 1.10/1.49 X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 1.10/1.49 , Y ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ), Y )
% 1.10/1.49 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 1.10/1.49 , clause( 14883, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 1.10/1.49 , X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14884, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 1.10/1.49 Y ), Z ), Z ) ) ) ] )
% 1.10/1.49 , clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 1.10/1.49 , 1, clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.10/1.49 implies( X, Y ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 1.10/1.49 implies( implies( Y, Y ), Z ), Z ) ) )] ), substitution( 1, [ :=( X,
% 1.10/1.49 implies( implies( Y, Y ), Z ) ), :=( Y, Z ), :=( Z, X )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 1.10/1.49 ), Z ), Z ) ) ) ] )
% 1.10/1.49 , clause( 14884, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 1.10/1.49 , Y ), Z ), Z ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14886, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.10/1.49 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.10/1.49 Y, Y ), Z ), Z ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y, Y
% 1.10/1.49 ), Z ), Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 1.10/1.49 ), :=( Z, Z )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.10/1.49 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 1.10/1.49 , clause( 14886, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.10/1.49 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14887, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X )
% 1.10/1.49 , Z ) ) ) ) ] )
% 1.10/1.49 , clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 1.10/1.49 , 1, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 1.10/1.49 , Z ), implies( X, Z ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, Z ), :=( Z, Y ), :=( T,
% 1.10/1.49 implies( X, implies( Y, implies( not( X ), Z ) ) ) )] ), substitution( 1
% 1.10/1.49 , [ :=( X, X ), :=( Y, Z ), :=( Z, implies( Y, implies( not( X ), Z ) ) )] )
% 1.10/1.49 ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X ), Z
% 1.10/1.49 ) ) ) ) ] )
% 1.10/1.49 , clause( 14887, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X
% 1.10/1.49 ), Z ) ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14889, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.10/1.49 implies( not( X ), Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X
% 1.10/1.49 ), Z ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( not( X ), Z
% 1.10/1.49 ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z
% 1.10/1.49 , Z )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.10/1.49 , implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 1.10/1.49 , clause( 14889, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.10/1.49 implies( not( X ), Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14890, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 1.10/1.49 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 1.10/1.49 , clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 X, implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 1.10/1.49 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.10/1.49 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 1.10/1.49 implies( implies( X, implies( not( Y ), Z ) ), T ), implies( Y, T ) ) )] )
% 1.10/1.49 , substitution( 1, [ :=( X, Y ), :=( Y, implies( X, implies( not( Y ), Z
% 1.10/1.49 ) ) ), :=( Z, T )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 1.10/1.49 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 1.10/1.49 , clause( 14890, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.10/1.49 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14891, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.10/1.49 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 1.10/1.49 , clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 1.10/1.49 implies( Z, X ), T ) ), U ) ) ) ] )
% 1.10/1.49 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.10/1.49 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 1.10/1.49 X, implies( T, Z ) ) ), :=( U, implies( implies( X, implies( Y, Z ) ),
% 1.10/1.49 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) )] ),
% 1.10/1.49 substitution( 1, [ :=( X, implies( Y, Z ) ), :=( Y, implies( T, Z ) ),
% 1.10/1.49 :=( Z, X ), :=( T, implies( implies( T, Y ), implies( X, implies( T, Z )
% 1.10/1.49 ) ) )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.10/1.49 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 1.10/1.49 , clause( 14891, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.10/1.49 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14892, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 1.10/1.49 Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 X, implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 1.10/1.49 , 1, clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 1.10/1.49 , implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 1.10/1.49 implies( X, implies( implies( Y, Y ), Z ) ), implies( T, implies( X, Z )
% 1.10/1.49 ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, implies( implies( Y, Y )
% 1.10/1.49 , Z ) ), :=( Z, Z ), :=( T, X )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 1.10/1.49 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , clause( 14892, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 1.10/1.49 , Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14893, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.10/1.49 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 1.10/1.49 , clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 1.10/1.49 Y ), Z ) ), T ) ) ) ] )
% 1.10/1.49 , 1, clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.10/1.49 Y, Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 1.10/1.49 X, implies( implies( implies( implies( not( Y ), Y ), Y ), Z ), Z ) ) )] )
% 1.10/1.49 , substitution( 1, [ :=( X, implies( implies( implies( not( Y ), Y ), Y )
% 1.10/1.49 , Z ) ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.10/1.49 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 1.10/1.49 , clause( 14893, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.10/1.49 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14894, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 1.10/1.49 ), X ), X ), Y ), Y ) ) ] )
% 1.10/1.49 , clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 1.10/1.49 Y ), Z ) ), T ) ) ) ] )
% 1.10/1.49 , 1, clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.10/1.49 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 1.10/1.49 implies( implies( implies( not( X ), X ), X ), Y ), Y ) )] ),
% 1.10/1.49 substitution( 1, [ :=( X, implies( implies( implies( implies( not( Z ), Z
% 1.10/1.49 ), T ), U ), implies( implies( Z, T ), U ) ) ), :=( Y, X ), :=( Z, Y )] )
% 1.10/1.49 ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 1.10/1.49 ), X ), X ), Y ), Y ) ) ] )
% 1.10/1.49 , clause( 14894, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 1.10/1.49 X ), X ), X ), Y ), Y ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.10/1.49 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14896, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.10/1.49 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies(
% 1.10/1.49 not( X ), X ), X ), Y ), Y ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 1.10/1.49 , X ), X ), Y ), Y ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 1.10/1.49 :=( Y, Y )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 1.10/1.49 , clause( 14896, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.10/1.49 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14897, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 1.10/1.49 Z ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 1.10/1.49 , clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 1.10/1.49 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.10/1.49 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 1.10/1.49 implies( implies( X, implies( Y, Z ) ), T ), implies( implies( Y, not( X
% 1.10/1.49 ) ), T ) ) )] ), substitution( 1, [ :=( X, implies( Y, not( X ) ) ),
% 1.10/1.49 :=( Y, implies( X, implies( Y, Z ) ) ), :=( Z, T )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 1852, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 1.10/1.49 ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 1.10/1.49 , clause( 14897, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 1.10/1.49 , Z ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14898, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 1.10/1.49 implies( implies( X, Z ), T ), implies( Y, T ) ) ) ) ] )
% 1.10/1.49 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.10/1.49 )
% 1.10/1.49 , 1, clause( 1852, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.10/1.49 Y, Z ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Z ) ), :=( Z, T ),
% 1.10/1.49 :=( T, implies( implies( X, not( Y ) ), implies( implies( implies( X, Z )
% 1.10/1.49 , T ), implies( Y, T ) ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X
% 1.10/1.49 ), :=( Z, Z ), :=( T, implies( implies( implies( X, Z ), T ), implies( Y
% 1.10/1.49 , T ) ) )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 1975, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 1.10/1.49 implies( implies( X, Z ), T ), implies( Y, T ) ) ) ) ] )
% 1.10/1.49 , clause( 14898, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 1.10/1.49 implies( implies( X, Z ), T ), implies( Y, T ) ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14899, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y
% 1.10/1.49 ) ), implies( X, Y ) ) ) ] )
% 1.10/1.49 , clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 1.10/1.49 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.10/1.49 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z,
% 1.10/1.49 implies( implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ) )] ),
% 1.10/1.49 substitution( 1, [ :=( X, implies( not( Y ), Y ) ), :=( Y, Y ), :=( Z, X
% 1.10/1.49 ), :=( T, implies( X, Y ) )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 1.10/1.49 ), implies( X, Y ) ) ) ] )
% 1.10/1.49 , clause( 14899, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ),
% 1.10/1.49 Y ) ), implies( X, Y ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.10/1.49 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14901, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.10/1.49 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 1.10/1.49 , Y ) ), implies( X, Y ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( not( Y ), Y )
% 1.10/1.49 ), implies( X, Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 1.10/1.49 :=( Y, Y )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 1.10/1.49 , clause( 14901, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.10/1.49 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14902, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 1.10/1.49 implies( Y, X ) ) ) ] )
% 1.10/1.49 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 1.10/1.49 , 1, clause( 1852, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.10/1.49 Y, Z ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( implies(
% 1.10/1.49 not( X ), not( Y ) ), implies( Y, X ) ) )] ), substitution( 1, [ :=( X, Y
% 1.10/1.49 ), :=( Y, not( X ) ), :=( Z, X ), :=( T, implies( Y, X ) )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 4724, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 1.10/1.49 implies( Y, X ) ) ) ] )
% 1.10/1.49 , clause( 14902, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 1.10/1.49 implies( Y, X ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.10/1.49 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14903, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.10/1.49 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 1.10/1.49 , 1, clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.10/1.49 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( X, implies(
% 1.10/1.49 Y, X ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, X ),
% 1.10/1.49 :=( T, implies( Y, X ) )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.10/1.49 , clause( 14903, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.10/1.49 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14904, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 1.10/1.49 implies( Y, X ), X ) ) ) ] )
% 1.10/1.49 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 1.10/1.49 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.10/1.49 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( Y, X ) ), :=( Y, X ), :=( Z,
% 1.10/1.49 implies( implies( not( X ), Y ), implies( implies( Y, X ), X ) ) )] ),
% 1.10/1.49 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, not( X ) ), :=( T,
% 1.10/1.49 implies( implies( Y, X ), X ) )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 4770, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 1.10/1.49 implies( Y, X ), X ) ) ) ] )
% 1.10/1.49 , clause( 14904, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 1.10/1.49 implies( Y, X ), X ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.10/1.49 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14906, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 1.10/1.49 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 1.10/1.49 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.10/1.49 , implies( Y, X ) ), Z ) ) ) ] )
% 1.10/1.49 , clause( 14906, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X )
% 1.10/1.49 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14907, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.10/1.49 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 1.10/1.49 , clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 X, implies( Y, X ) ), Z ) ) ) ] )
% 1.10/1.49 , 1, clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.10/1.49 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, implies( implies(
% 1.10/1.49 implies( X, Y ), Z ), implies( implies( implies( T, X ), Y ), Z ) ) )] )
% 1.10/1.49 , substitution( 1, [ :=( X, X ), :=( Y, implies( T, X ) ), :=( Z, Y ),
% 1.10/1.49 :=( T, Z )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 4929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.10/1.49 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 1.10/1.49 , clause( 14907, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.10/1.49 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14908, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.10/1.49 implies( Y, Z ) ) ) ] )
% 1.10/1.49 , clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 X, implies( Y, X ) ), Z ) ) ) ] )
% 1.10/1.49 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.10/1.49 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( implies(
% 1.10/1.49 implies( X, Y ), Z ), implies( Y, Z ) ) )] ), substitution( 1, [ :=( X, Y
% 1.10/1.49 ), :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 4949, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.10/1.49 implies( Y, Z ) ) ) ] )
% 1.10/1.49 , clause( 14908, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.10/1.49 implies( Y, Z ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14909, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.10/1.49 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 1.10/1.49 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.10/1.49 )
% 1.10/1.49 , 1, clause( 4929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 1.10/1.49 , implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 1.10/1.49 implies( implies( X, Y ), Z ), implies( implies( Z, T ), implies( Y, T )
% 1.10/1.49 ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies(
% 1.10/1.49 implies( Z, T ), implies( Y, T ) ) ), :=( T, X )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.10/1.49 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 1.10/1.49 , clause( 14909, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.10/1.49 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14910, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 1.10/1.49 Z ) ), T ), implies( not( X ), T ) ) ) ] )
% 1.10/1.49 , clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 1.10/1.49 , 1, clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 1.10/1.49 , implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 1.10/1.49 implies( implies( X, implies( Y, Z ) ), T ), implies( not( X ), T ) ) )] )
% 1.10/1.49 , substitution( 1, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 1.10/1.49 implies( Y, Z ) ) ), :=( T, T )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 5874, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 1.10/1.49 ) ), T ), implies( not( X ), T ) ) ) ] )
% 1.10/1.49 , clause( 14910, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 1.10/1.49 , Z ) ), T ), implies( not( X ), T ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14911, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ]
% 1.10/1.49 )
% 1.10/1.49 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 1.10/1.49 , 1, clause( 5874, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.10/1.49 Y, Z ) ), T ), implies( not( X ), T ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( not( X ),
% 1.10/1.49 implies( X, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, not( Y ) )
% 1.10/1.49 , :=( Z, Y ), :=( T, implies( X, Y ) )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 5883, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 1.10/1.49 , clause( 14911, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ]
% 1.10/1.49 )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.10/1.49 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14913, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies( X
% 1.10/1.49 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 5883, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) )
% 1.10/1.49 ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( not( X ), implies( X, Y ) ) ), :=(
% 1.10/1.49 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 5906, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 1.10/1.49 , clause( 14913, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies(
% 1.10/1.49 X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14914, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 1.10/1.49 , clause( 5906, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 1.10/1.49 , 1, clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 1.10/1.49 , Y ) ), implies( X, Y ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, X ), :=( Z, implies( not(
% 1.10/1.49 not( X ) ), X ) )] ), substitution( 1, [ :=( X, not( not( X ) ) ), :=( Y
% 1.10/1.49 , X )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 5926, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 1.10/1.49 , clause( 14914, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14916, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ), X )
% 1.10/1.49 , Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 5926, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( not( not( X ) ), X ) ), :=( Y, Y )] )
% 1.10/1.49 , substitution( 1, [ :=( X, X )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 5989, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 not( not( X ) ), X ), Y ) ) ) ] )
% 1.10/1.49 , clause( 14916, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ), X
% 1.10/1.49 ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.10/1.49 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14917, [ 'is_a_theorem'( implies( implies( X, not( X ) ), not( X )
% 1.10/1.49 ) ) ] )
% 1.10/1.49 , clause( 5989, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 not( not( X ) ), X ), Y ) ) ) ] )
% 1.10/1.49 , 1, clause( 4770, [ 'is_a_theorem'( implies( implies( not( X ), Y ),
% 1.10/1.49 implies( implies( Y, X ), X ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( X, not( X ) )
% 1.10/1.49 , not( X ) ) )] ), substitution( 1, [ :=( X, not( X ) ), :=( Y, X )] )
% 1.10/1.49 ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 6368, [ 'is_a_theorem'( implies( implies( X, not( X ) ), not( X ) )
% 1.10/1.49 ) ] )
% 1.10/1.49 , clause( 14917, [ 'is_a_theorem'( implies( implies( X, not( X ) ), not( X
% 1.10/1.49 ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14918, [ 'is_a_theorem'( implies( X, not( not( X ) ) ) ) ] )
% 1.10/1.49 , clause( 5989, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 not( not( X ) ), X ), Y ) ) ) ] )
% 1.10/1.49 , 1, clause( 4724, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) )
% 1.10/1.49 , implies( Y, X ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, implies( X, not( not( X )
% 1.10/1.49 ) ) )] ), substitution( 1, [ :=( X, not( not( X ) ) ), :=( Y, X )] )
% 1.10/1.49 ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 6369, [ 'is_a_theorem'( implies( X, not( not( X ) ) ) ) ] )
% 1.10/1.49 , clause( 14918, [ 'is_a_theorem'( implies( X, not( not( X ) ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14920, [ ~( 'is_a_theorem'( implies( implies( X, not( not( X ) ) )
% 1.10/1.49 , Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 6369, [ 'is_a_theorem'( implies( X, not( not( X ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( X, not( not( X ) ) ) ), :=( Y, Y )] )
% 1.10/1.49 , substitution( 1, [ :=( X, X )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 6533, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 1.10/1.49 , not( not( X ) ) ), Y ) ) ) ] )
% 1.10/1.49 , clause( 14920, [ ~( 'is_a_theorem'( implies( implies( X, not( not( X ) )
% 1.10/1.49 ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.10/1.49 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14922, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( X )
% 1.10/1.49 ), not( X ) ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 6368, [ 'is_a_theorem'( implies( implies( X, not( X ) ), not(
% 1.10/1.49 X ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( implies( X, not( X ) ), not( X ) )
% 1.10/1.49 ), :=( Y, Y )] ), substitution( 1, [ :=( X, X )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 6538, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, not( X ) ), not( X ) ), Y ) ) ) ] )
% 1.10/1.49 , clause( 14922, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( X
% 1.10/1.49 ) ), not( X ) ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.10/1.49 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14923, [ 'is_a_theorem'( implies( X, not( not( implies( Y, X ) ) )
% 1.10/1.49 ) ) ] )
% 1.10/1.49 , clause( 6533, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 X, not( not( X ) ) ), Y ) ) ) ] )
% 1.10/1.49 , 1, clause( 4949, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 1.10/1.49 , implies( Y, Z ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( Y, X ) ), :=( Y, implies( X, not(
% 1.10/1.49 not( implies( Y, X ) ) ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X
% 1.10/1.49 ), :=( Z, not( not( implies( Y, X ) ) ) )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 6745, [ 'is_a_theorem'( implies( X, not( not( implies( Y, X ) ) ) )
% 1.10/1.49 ) ] )
% 1.10/1.49 , clause( 14923, [ 'is_a_theorem'( implies( X, not( not( implies( Y, X ) )
% 1.10/1.49 ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.10/1.49 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14925, [ ~( 'is_a_theorem'( implies( implies( X, not( not( implies(
% 1.10/1.49 Y, X ) ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.10/1.49 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.10/1.49 , ~( 'is_a_theorem'( X ) ) ] )
% 1.10/1.49 , 2, clause( 6745, [ 'is_a_theorem'( implies( X, not( not( implies( Y, X )
% 1.10/1.49 ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, implies( X, not( not( implies( Y, X ) ) ) )
% 1.10/1.49 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 6921, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.10/1.49 , not( not( implies( Y, X ) ) ) ), Z ) ) ) ] )
% 1.10/1.49 , clause( 14925, [ ~( 'is_a_theorem'( implies( implies( X, not( not(
% 1.10/1.49 implies( Y, X ) ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14926, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.10/1.49 implies( not( implies( T, X ) ), Z ) ) ) ] )
% 1.10/1.49 , clause( 6921, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 X, not( not( implies( Y, X ) ) ) ), Z ) ) ) ] )
% 1.10/1.49 , 1, clause( 1975, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 1.10/1.49 implies( implies( implies( X, Z ), T ), implies( Y, T ) ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, implies( implies(
% 1.10/1.49 implies( X, Y ), Z ), implies( not( implies( T, X ) ), Z ) ) )] ),
% 1.10/1.49 substitution( 1, [ :=( X, X ), :=( Y, not( implies( T, X ) ) ), :=( Z, Y
% 1.10/1.49 ), :=( T, Z )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 14109, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.10/1.49 implies( not( implies( T, X ) ), Z ) ) ) ] )
% 1.10/1.49 , clause( 14926, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.10/1.49 implies( not( implies( T, X ) ), Z ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.10/1.49 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14927, [ 'is_a_theorem'( implies( not( implies( X, Y ) ), not( Y )
% 1.10/1.49 ) ) ] )
% 1.10/1.49 , clause( 6538, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.10/1.49 implies( X, not( X ) ), not( X ) ), Y ) ) ) ] )
% 1.10/1.49 , 1, clause( 14109, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z
% 1.10/1.49 ), implies( not( implies( T, X ) ), Z ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( not( implies( X, Y ) )
% 1.10/1.49 , not( Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, not( Y ) ), :=(
% 1.10/1.49 Z, not( Y ) ), :=( T, X )] )).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 14805, [ 'is_a_theorem'( implies( not( implies( X, Y ) ), not( Y )
% 1.10/1.49 ) ) ] )
% 1.10/1.49 , clause( 14927, [ 'is_a_theorem'( implies( not( implies( X, Y ) ), not( Y
% 1.10/1.49 ) ) ) ] )
% 1.10/1.49 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.10/1.49 )] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 resolution(
% 1.10/1.49 clause( 14928, [] )
% 1.10/1.49 , clause( 4, [ ~( 'is_a_theorem'( implies( not( implies( x, y ) ), not( y )
% 1.10/1.49 ) ) ) ] )
% 1.10/1.49 , 0, clause( 14805, [ 'is_a_theorem'( implies( not( implies( X, Y ) ), not(
% 1.10/1.49 Y ) ) ) ] )
% 1.10/1.49 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, y )] )
% 1.10/1.49 ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 subsumption(
% 1.10/1.49 clause( 14832, [] )
% 1.10/1.49 , clause( 14928, [] )
% 1.10/1.49 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 end.
% 1.10/1.49
% 1.10/1.49 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.10/1.49
% 1.10/1.49 Memory use:
% 1.10/1.49
% 1.10/1.49 space for terms: 321679
% 1.10/1.49 space for clauses: 1676046
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 clauses generated: 67537
% 1.10/1.49 clauses kept: 14833
% 1.10/1.49 clauses selected: 1291
% 1.10/1.49 clauses deleted: 159
% 1.10/1.49 clauses inuse deleted: 50
% 1.10/1.49
% 1.10/1.49 subsentry: 55384
% 1.10/1.49 literals s-matched: 52865
% 1.10/1.49 literals matched: 52864
% 1.10/1.49 full subsumption: 0
% 1.10/1.49
% 1.10/1.49 checksum: 941528695
% 1.10/1.49
% 1.10/1.49
% 1.10/1.49 Bliksem ended
%------------------------------------------------------------------------------