TSTP Solution File: LCL402-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL402-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 0.73s 1.48s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL402-1 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jul 4 08:25:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.48 *** allocated 10000 integers for termspace/termends
% 0.73/1.48 *** allocated 10000 integers for clauses
% 0.73/1.48 *** allocated 10000 integers for justifications
% 0.73/1.48 Bliksem 1.12
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 Automatic Strategy Selection
% 0.73/1.48
% 0.73/1.48 Clauses:
% 0.73/1.48 [
% 0.73/1.48 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.73/1.48 'is_a_theorem'( Y ) ],
% 0.73/1.48 [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.73/1.48 implies( X, Z ) ) ) ) ],
% 0.73/1.48 [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ],
% 0.73/1.48 [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ],
% 0.73/1.48 [ ~( 'is_a_theorem'( implies( not( implies( x, not( y ) ) ), y ) ) ) ]
% 0.73/1.48 ] .
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 percentage equality = 0.000000, percentage horn = 1.000000
% 0.73/1.48 This is a near-Horn, non-equality problem
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 Options Used:
% 0.73/1.48
% 0.73/1.48 useres = 1
% 0.73/1.48 useparamod = 0
% 0.73/1.48 useeqrefl = 0
% 0.73/1.48 useeqfact = 0
% 0.73/1.48 usefactor = 1
% 0.73/1.48 usesimpsplitting = 0
% 0.73/1.48 usesimpdemod = 0
% 0.73/1.48 usesimpres = 4
% 0.73/1.48
% 0.73/1.48 resimpinuse = 1000
% 0.73/1.48 resimpclauses = 20000
% 0.73/1.48 substype = standard
% 0.73/1.48 backwardsubs = 1
% 0.73/1.48 selectoldest = 5
% 0.73/1.48
% 0.73/1.48 litorderings [0] = split
% 0.73/1.48 litorderings [1] = liftord
% 0.73/1.48
% 0.73/1.48 termordering = none
% 0.73/1.48
% 0.73/1.48 litapriori = 1
% 0.73/1.48 termapriori = 0
% 0.73/1.48 litaposteriori = 0
% 0.73/1.48 termaposteriori = 0
% 0.73/1.48 demodaposteriori = 0
% 0.73/1.48 ordereqreflfact = 0
% 0.73/1.48
% 0.73/1.48 litselect = negative
% 0.73/1.48
% 0.73/1.48 maxweight = 30000
% 0.73/1.48 maxdepth = 30000
% 0.73/1.48 maxlength = 115
% 0.73/1.48 maxnrvars = 195
% 0.73/1.48 excuselevel = 0
% 0.73/1.48 increasemaxweight = 0
% 0.73/1.48
% 0.73/1.48 maxselected = 10000000
% 0.73/1.48 maxnrclauses = 10000000
% 0.73/1.48
% 0.73/1.48 showgenerated = 0
% 0.73/1.48 showkept = 0
% 0.73/1.48 showselected = 0
% 0.73/1.48 showdeleted = 0
% 0.73/1.48 showresimp = 1
% 0.73/1.48 showstatus = 2000
% 0.73/1.48
% 0.73/1.48 prologoutput = 1
% 0.73/1.48 nrgoals = 5000000
% 0.73/1.48 totalproof = 1
% 0.73/1.48
% 0.73/1.48 Symbols occurring in the translation:
% 0.73/1.48
% 0.73/1.48 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.48 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.73/1.48 ! [4, 1] (w:1, o:14, a:1, s:1, b:0),
% 0.73/1.48 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.48 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.48 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.73/1.48 'is_a_theorem' [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.73/1.48 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.73/1.48 x [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.73/1.48 y [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 Starting Search:
% 0.73/1.48
% 0.73/1.48 Resimplifying inuse:
% 0.73/1.48 Done
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 Intermediate Status:
% 0.73/1.48 Generated: 8948
% 0.73/1.48 Kept: 2000
% 0.73/1.48 Inuse: 377
% 0.73/1.48 Deleted: 44
% 0.73/1.48 Deletedinuse: 17
% 0.73/1.48
% 0.73/1.48 Resimplifying inuse:
% 0.73/1.48 Done
% 0.73/1.48
% 0.73/1.48 Resimplifying inuse:
% 0.73/1.48 Done
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 Intermediate Status:
% 0.73/1.48 Generated: 18456
% 0.73/1.48 Kept: 4018
% 0.73/1.48 Inuse: 595
% 0.73/1.48 Deleted: 59
% 0.73/1.48 Deletedinuse: 19
% 0.73/1.48
% 0.73/1.48 Resimplifying inuse:
% 0.73/1.48 Done
% 0.73/1.48
% 0.73/1.48 Resimplifying inuse:
% 0.73/1.48 Done
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 Intermediate Status:
% 0.73/1.48 Generated: 31457
% 0.73/1.48 Kept: 6020
% 0.73/1.48 Inuse: 752
% 0.73/1.48 Deleted: 98
% 0.73/1.48 Deletedinuse: 39
% 0.73/1.48
% 0.73/1.48 Resimplifying inuse:
% 0.73/1.48 Done
% 0.73/1.48
% 0.73/1.48 Resimplifying inuse:
% 0.73/1.48 Done
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 Intermediate Status:
% 0.73/1.48 Generated: 38604
% 0.73/1.48 Kept: 8034
% 0.73/1.48 Inuse: 907
% 0.73/1.48 Deleted: 131
% 0.73/1.48 Deletedinuse: 48
% 0.73/1.48
% 0.73/1.48 Resimplifying inuse:
% 0.73/1.48 Done
% 0.73/1.48
% 0.73/1.48 Resimplifying inuse:
% 0.73/1.48 Done
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 Intermediate Status:
% 0.73/1.48 Generated: 49036
% 0.73/1.48 Kept: 10037
% 0.73/1.48 Inuse: 1098
% 0.73/1.48 Deleted: 148
% 0.73/1.48 Deletedinuse: 48
% 0.73/1.48
% 0.73/1.48 Resimplifying inuse:
% 0.73/1.48 Done
% 0.73/1.48
% 0.73/1.48 Resimplifying inuse:
% 0.73/1.48 Done
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 Intermediate Status:
% 0.73/1.48 Generated: 55926
% 0.73/1.48 Kept: 12101
% 0.73/1.48 Inuse: 1214
% 0.73/1.48 Deleted: 157
% 0.73/1.48 Deletedinuse: 50
% 0.73/1.48
% 0.73/1.48 Resimplifying inuse:
% 0.73/1.48 Done
% 0.73/1.48
% 0.73/1.48 Resimplifying inuse:
% 0.73/1.48 Done
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 Intermediate Status:
% 0.73/1.48 Generated: 64982
% 0.73/1.48 Kept: 14161
% 0.73/1.48 Inuse: 1265
% 0.73/1.48 Deleted: 157
% 0.73/1.48 Deletedinuse: 50
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 Bliksems!, er is een bewijs:
% 0.73/1.48 % SZS status Unsatisfiable
% 0.73/1.48 % SZS output start Refutation
% 0.73/1.48
% 0.73/1.48 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.73/1.48 ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 0.73/1.48 , Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 4, [ ~( 'is_a_theorem'( implies( not( implies( x, not( y ) ) ), y )
% 0.73/1.48 ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.73/1.48 implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.73/1.48 )
% 0.73/1.48 .
% 0.73/1.48 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.73/1.48 not( X ), X ), Y ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 0.73/1.48 , implies( X, Z ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.73/1.48 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 0.73/1.48 X ), Y ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 0.73/1.48 implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 0.73/1.48 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.73/1.48 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.73/1.48 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 0.73/1.48 Y ), Z ) ), T ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 0.73/1.48 , implies( X, Z ) ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 0.73/1.48 , Z ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.48 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 0.73/1.48 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.48 , implies( Y, Y ) ), Z ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.73/1.48 implies( Z, Y ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.73/1.48 implies( X, Y ) ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.48 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 0.73/1.48 ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 0.73/1.48 ), Z ), Z ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.48 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X ), Z
% 0.73/1.48 ) ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.48 , implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 0.73/1.48 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.73/1.48 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 0.73/1.48 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.73/1.48 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.73/1.48 ), X ), X ), Y ), Y ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 1852, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.73/1.48 ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 0.73/1.48 ), implies( X, Y ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 4724, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 0.73/1.48 implies( Y, X ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.48 , implies( Y, X ) ), Z ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 4929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.48 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 4949, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.48 implies( Y, Z ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.48 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 5874, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.73/1.48 ) ), T ), implies( not( X ), T ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 5883, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 5906, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 5926, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 5989, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 not( not( X ) ), X ), Y ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 6369, [ 'is_a_theorem'( implies( X, not( not( X ) ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 6533, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.48 , not( not( X ) ) ), Y ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 6745, [ 'is_a_theorem'( implies( X, not( not( implies( Y, X ) ) ) )
% 0.73/1.48 ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 6921, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.48 , not( not( implies( Y, X ) ) ) ), Z ) ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 14073, [ 'is_a_theorem'( implies( not( implies( X, not( Y ) ) ), Y
% 0.73/1.48 ) ) ] )
% 0.73/1.48 .
% 0.73/1.48 clause( 14162, [] )
% 0.73/1.48 .
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 % SZS output end Refutation
% 0.73/1.48 found a proof!
% 0.73/1.48
% 0.73/1.48 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.48
% 0.73/1.48 initialclauses(
% 0.73/1.48 [ clause( 14164, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 0.73/1.48 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 0.73/1.48 , clause( 14165, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.48 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , clause( 14166, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.73/1.48 )
% 0.73/1.48 , clause( 14167, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.73/1.48 )
% 0.73/1.48 , clause( 14168, [ ~( 'is_a_theorem'( implies( not( implies( x, not( y ) )
% 0.73/1.48 ), y ) ) ) ] )
% 0.73/1.48 ] ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.73/1.48 ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , clause( 14164, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 0.73/1.48 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.48 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 0.73/1.48 , Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , clause( 14165, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.48 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.73/1.48 , clause( 14166, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.73/1.48 )
% 0.73/1.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 0.73/1.48 , clause( 14167, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.73/1.48 )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.48 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 4, [ ~( 'is_a_theorem'( implies( not( implies( x, not( y ) ) ), y )
% 0.73/1.48 ) ) ] )
% 0.73/1.48 , clause( 14168, [ ~( 'is_a_theorem'( implies( not( implies( x, not( y ) )
% 0.73/1.48 ), y ) ) ) ] )
% 0.73/1.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14170, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X
% 0.73/1.48 ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.73/1.48 )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( implies( not( X ), X ), X ) ), :=(
% 0.73/1.48 Y, Y )] ), substitution( 1, [ :=( X, X )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.73/1.48 , clause( 14170, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ),
% 0.73/1.48 X ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.73/1.48 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14172, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X )
% 0.73/1.48 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.73/1.48 )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( X, implies( not( X ), Y ) ) ), :=(
% 0.73/1.48 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.73/1.48 implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.73/1.48 , clause( 14172, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X
% 0.73/1.48 ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14174, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.73/1.48 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 0.73/1.48 ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.48 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 0.73/1.48 Y, Z ), implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 0.73/1.48 ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.73/1.48 )
% 0.73/1.48 , clause( 14174, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.73/1.48 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 0.73/1.48 ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14175, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.73/1.48 not( X ), X ), Y ) ) ) ] )
% 0.73/1.48 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.73/1.48 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.48 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( X, Y ),
% 0.73/1.48 implies( implies( not( X ), X ), Y ) ) )] ), substitution( 1, [ :=( X,
% 0.73/1.48 implies( not( X ), X ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.73/1.48 not( X ), X ), Y ) ) ) ] )
% 0.73/1.48 , clause( 14175, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.48 implies( not( X ), X ), Y ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.48 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14177, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.73/1.48 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.48 implies( not( X ), X ), Y ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 0.73/1.48 not( X ), X ), Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.48 :=( Y, Y )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 0.73/1.48 , clause( 14177, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.73/1.48 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14178, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ),
% 0.73/1.48 Z ), implies( X, Z ) ) ) ] )
% 0.73/1.48 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.48 , implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.73/1.48 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.48 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 0.73/1.48 implies( not( X ), Y ), Z ), implies( X, Z ) ) )] ), substitution( 1, [
% 0.73/1.48 :=( X, X ), :=( Y, implies( not( X ), Y ) ), :=( Z, Z )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 0.73/1.48 , implies( X, Z ) ) ) ] )
% 0.73/1.48 , clause( 14178, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.73/1.48 , Z ), implies( X, Z ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14179, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.73/1.48 , implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.73/1.48 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.73/1.48 )
% 0.73/1.48 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.48 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.73/1.48 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.73/1.48 implies( Z, X ), T ) ) )] ), substitution( 1, [ :=( X, implies( Z, X ) )
% 0.73/1.48 , :=( Y, implies( implies( X, Y ), implies( Z, Y ) ) ), :=( Z, T )] )
% 0.73/1.48 ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.73/1.48 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.73/1.48 , clause( 14179, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.73/1.48 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14180, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.73/1.48 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.73/1.48 , 1, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.73/1.48 , Z ), implies( X, Z ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( X, X ) )] ),
% 0.73/1.48 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, X )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.73/1.48 , clause( 14180, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14182, [ ~( 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.73/1.48 X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.73/1.48 , Z ), implies( X, Z ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( implies( implies( not( X ), Y ), Z
% 0.73/1.48 ), implies( X, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.48 :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.73/1.48 , clause( 14182, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.73/1.48 not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14184, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.73/1.48 'is_a_theorem'( Y ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 0.73/1.48 substitution( 1, [ :=( X, X )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 0.73/1.48 X ), Y ) ) ) ] )
% 0.73/1.48 , clause( 14184, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.73/1.48 'is_a_theorem'( Y ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.73/1.48 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14185, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 0.73/1.48 )
% 0.73/1.48 , clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.48 , X ), Y ) ) ) ] )
% 0.73/1.48 , 1, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.73/1.48 )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( not( implies( X, X ) )
% 0.73/1.48 , Y ) )] ), substitution( 1, [ :=( X, implies( X, X ) ), :=( Y, Y )] )
% 0.73/1.48 ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.73/1.48 , clause( 14185, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 0.73/1.48 )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.48 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14187, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X )
% 0.73/1.48 ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 0.73/1.48 )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( not( implies( X, X ) ), Y ) ), :=(
% 0.73/1.48 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 0.73/1.48 implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.73/1.48 , clause( 14187, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X
% 0.73/1.48 ) ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14188, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.73/1.48 ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.73/1.48 , clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 0.73/1.48 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.48 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 0.73/1.48 implies( implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z )
% 0.73/1.48 ) )] ), substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, implies(
% 0.73/1.48 implies( not( X ), X ), Y ) ), :=( Z, Z )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 0.73/1.48 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.73/1.48 , clause( 14188, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.73/1.48 X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14189, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.73/1.48 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.73/1.48 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.73/1.48 )
% 0.73/1.48 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.73/1.48 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, implies( X, Z ) )
% 0.73/1.48 , :=( Z, T ), :=( T, implies( implies( X, Y ), implies( implies( implies(
% 0.73/1.48 X, Z ), T ), implies( implies( Y, Z ), T ) ) ) )] ), substitution( 1, [
% 0.73/1.48 :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies( implies( implies( X,
% 0.73/1.48 Z ), T ), implies( implies( Y, Z ), T ) ) )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.73/1.48 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.73/1.48 , clause( 14189, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.48 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14191, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.73/1.48 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 0.73/1.48 , U ) ) ), 'is_a_theorem'( U ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.73/1.48 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.73/1.48 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ), :=( Y, U )] )
% 0.73/1.48 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.73/1.48 ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.73/1.48 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.73/1.48 , clause( 14191, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.73/1.48 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 0.73/1.48 , U ) ) ), 'is_a_theorem'( U ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.73/1.48 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14193, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.73/1.48 implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ), T ) )
% 0.73/1.48 ), 'is_a_theorem'( T ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.73/1.48 X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 0.73/1.48 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ), :=( Y, T )] ),
% 0.73/1.48 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 0.73/1.48 Y ), Z ) ), T ) ) ) ] )
% 0.73/1.48 , clause( 14193, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.73/1.48 implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ), T ) )
% 0.73/1.48 ), 'is_a_theorem'( T ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14194, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 0.73/1.48 Y, implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.73/1.48 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.73/1.48 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, Z ) ),
% 0.73/1.48 :=( T, implies( implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ) )] )
% 0.73/1.48 , substitution( 1, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, X ), :=( T,
% 0.73/1.48 implies( Y, implies( X, Z ) ) )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 0.73/1.48 , implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , clause( 14194, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 0.73/1.48 Y, implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14195, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y )
% 0.73/1.48 ), Z ) ) ) ] )
% 0.73/1.48 , clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 not( implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.73/1.48 , 1, clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 0.73/1.48 implies( Y, implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 0.73/1.48 implies( not( implies( Y, Y ) ), Z ) ) )] ), substitution( 1, [ :=( X,
% 0.73/1.48 not( implies( Y, Y ) ) ), :=( Y, X ), :=( Z, Z )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 0.73/1.48 , Z ) ) ) ] )
% 0.73/1.48 , clause( 14195, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 0.73/1.48 ) ), Z ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14197, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y )
% 0.73/1.48 ), implies( Y, implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 0.73/1.48 implies( Y, implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( implies( X, not( Y ) ), implies( Y
% 0.73/1.48 , implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.48 :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 0.73/1.48 , clause( 14197, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y
% 0.73/1.48 ) ), implies( Y, implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14199, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 0.73/1.48 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 0.73/1.48 ) ), Z ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( X, implies( not( implies( Y, Y ) )
% 0.73/1.48 , Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 0.73/1.48 Z, Z )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.48 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.73/1.48 , clause( 14199, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 0.73/1.48 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14200, [ 'is_a_theorem'( implies( implies( implies( not( implies( X
% 0.73/1.48 , X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.73/1.48 , clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 X, implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.73/1.48 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.48 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.73/1.48 implies( implies( not( implies( X, X ) ), Y ), Z ), implies( T, Z ) ) )] )
% 0.73/1.48 , substitution( 1, [ :=( X, T ), :=( Y, implies( not( implies( X, X ) ),
% 0.73/1.48 Y ) ), :=( Z, Z )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 0.73/1.48 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.73/1.48 , clause( 14200, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 0.73/1.48 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14201, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.73/1.48 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.73/1.48 , 1, clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 0.73/1.48 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( Y, Y ) ), :=( Y, implies( X,
% 0.73/1.48 implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, implies( Y
% 0.73/1.48 , Y ) ), :=( Z, implies( Y, Y ) ), :=( T, X )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.73/1.48 , clause( 14201, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.48 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14203, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) )
% 0.73/1.48 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, Y ) ) ), :=( Y, Z )] )
% 0.73/1.48 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.48 , implies( Y, Y ) ), Z ) ) ) ] )
% 0.73/1.48 , clause( 14203, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y )
% 0.73/1.48 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14204, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.73/1.48 implies( Z, Y ) ) ) ] )
% 0.73/1.48 , clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 X, implies( Y, Y ) ), Z ) ) ) ] )
% 0.73/1.48 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.48 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, implies( implies(
% 0.73/1.48 implies( X, X ), Y ), implies( Z, Y ) ) )] ), substitution( 1, [ :=( X, Z
% 0.73/1.48 ), :=( Y, implies( X, X ) ), :=( Z, Y )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.73/1.48 implies( Z, Y ) ) ) ] )
% 0.73/1.48 , clause( 14204, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.73/1.48 implies( Z, Y ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14206, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.73/1.48 X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 0.73/1.48 , implies( Z, Y ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 0.73/1.48 implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.73/1.48 , Y ), :=( Z, Z )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.73/1.48 , clause( 14206, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.73/1.48 , X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14207, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.73/1.48 implies( X, Y ) ) ) ) ] )
% 0.73/1.48 , clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.73/1.48 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.73/1.48 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z, Z ),
% 0.73/1.48 :=( T, implies( implies( X, Y ), implies( Z, implies( X, Y ) ) ) )] ),
% 0.73/1.48 substitution( 1, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, implies( Z
% 0.73/1.48 , implies( X, Y ) ) )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.73/1.48 implies( X, Y ) ) ) ) ] )
% 0.73/1.48 , clause( 14207, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.73/1.48 implies( X, Y ) ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14208, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.48 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.73/1.48 , clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.73/1.48 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.48 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X ), :=( T, implies(
% 0.73/1.48 implies( implies( X, Y ), Z ), implies( implies( implies( T, T ), Y ), Z
% 0.73/1.48 ) ) )] ), substitution( 1, [ :=( X, implies( implies( T, T ), Y ) ),
% 0.73/1.48 :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.48 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.73/1.48 , clause( 14208, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.48 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14210, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.73/1.48 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.73/1.48 implies( X, Y ) ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Z,
% 0.73/1.48 implies( X, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 0.73/1.48 Y, Y ), :=( Z, Z )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 0.73/1.48 , clause( 14210, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.73/1.48 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14211, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y
% 0.73/1.48 ) ) ] )
% 0.73/1.48 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.73/1.48 , 1, clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.73/1.48 , implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( implies( implies( X, X
% 0.73/1.48 ), Y ), Y ) )] ), substitution( 1, [ :=( X, not( Y ) ), :=( Y, Y ), :=(
% 0.73/1.48 Z, Y ), :=( T, X )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 0.73/1.48 ) ] )
% 0.73/1.48 , clause( 14211, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.73/1.48 Y ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.48 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14213, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.73/1.48 X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 0.73/1.48 , Y ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ), Y )
% 0.73/1.48 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.73/1.48 , clause( 14213, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.73/1.48 , X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14214, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 0.73/1.48 Y ), Z ), Z ) ) ) ] )
% 0.73/1.48 , clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.73/1.48 , 1, clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.73/1.48 implies( X, Y ) ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 0.73/1.48 implies( implies( Y, Y ), Z ), Z ) ) )] ), substitution( 1, [ :=( X,
% 0.73/1.48 implies( implies( Y, Y ), Z ) ), :=( Y, Z ), :=( Z, X )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 0.73/1.48 ), Z ), Z ) ) ) ] )
% 0.73/1.48 , clause( 14214, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.73/1.48 , Y ), Z ), Z ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14216, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.73/1.48 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.73/1.48 Y, Y ), Z ), Z ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y, Y
% 0.73/1.48 ), Z ), Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 0.73/1.48 ), :=( Z, Z )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.48 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 0.73/1.48 , clause( 14216, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.73/1.48 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14217, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X )
% 0.73/1.48 , Z ) ) ) ) ] )
% 0.73/1.48 , clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 0.73/1.48 , 1, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.73/1.48 , Z ), implies( X, Z ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, Z ), :=( Z, Y ), :=( T,
% 0.73/1.48 implies( X, implies( Y, implies( not( X ), Z ) ) ) )] ), substitution( 1
% 0.73/1.48 , [ :=( X, X ), :=( Y, Z ), :=( Z, implies( Y, implies( not( X ), Z ) ) )] )
% 0.73/1.48 ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X ), Z
% 0.73/1.48 ) ) ) ) ] )
% 0.73/1.48 , clause( 14217, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X
% 0.73/1.48 ), Z ) ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14219, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.73/1.48 implies( not( X ), Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X
% 0.73/1.48 ), Z ) ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( not( X ), Z
% 0.73/1.48 ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z
% 0.73/1.48 , Z )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.48 , implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 0.73/1.48 , clause( 14219, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.73/1.48 implies( not( X ), Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14220, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 0.73/1.48 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.73/1.48 , clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 X, implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 0.73/1.48 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.48 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 0.73/1.48 implies( implies( X, implies( not( Y ), Z ) ), T ), implies( Y, T ) ) )] )
% 0.73/1.48 , substitution( 1, [ :=( X, Y ), :=( Y, implies( X, implies( not( Y ), Z
% 0.73/1.48 ) ) ), :=( Z, T )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 0.73/1.48 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.73/1.48 , clause( 14220, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.73/1.48 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14221, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.73/1.48 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.73/1.48 , clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.73/1.48 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.73/1.48 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.73/1.48 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.73/1.48 X, implies( T, Z ) ) ), :=( U, implies( implies( X, implies( Y, Z ) ),
% 0.73/1.48 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) )] ),
% 0.73/1.48 substitution( 1, [ :=( X, implies( Y, Z ) ), :=( Y, implies( T, Z ) ),
% 0.73/1.48 :=( Z, X ), :=( T, implies( implies( T, Y ), implies( X, implies( T, Z )
% 0.73/1.48 ) ) )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.73/1.48 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.73/1.48 , clause( 14221, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.73/1.48 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14222, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 0.73/1.48 Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 X, implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 0.73/1.48 , 1, clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 0.73/1.48 , implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 0.73/1.48 implies( X, implies( implies( Y, Y ), Z ) ), implies( T, implies( X, Z )
% 0.73/1.48 ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, implies( implies( Y, Y )
% 0.73/1.48 , Z ) ), :=( Z, Z ), :=( T, X )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 0.73/1.48 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , clause( 14222, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 0.73/1.48 , Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14223, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.73/1.48 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.73/1.48 , clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 0.73/1.48 Y ), Z ) ), T ) ) ) ] )
% 0.73/1.48 , 1, clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.73/1.48 Y, Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 0.73/1.48 X, implies( implies( implies( implies( not( Y ), Y ), Y ), Z ), Z ) ) )] )
% 0.73/1.48 , substitution( 1, [ :=( X, implies( implies( implies( not( Y ), Y ), Y )
% 0.73/1.48 , Z ) ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.73/1.48 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.73/1.48 , clause( 14223, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.73/1.48 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14224, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.73/1.48 ), X ), X ), Y ), Y ) ) ] )
% 0.73/1.48 , clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 0.73/1.48 Y ), Z ) ), T ) ) ) ] )
% 0.73/1.48 , 1, clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.73/1.48 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 0.73/1.48 implies( implies( implies( not( X ), X ), X ), Y ), Y ) )] ),
% 0.73/1.48 substitution( 1, [ :=( X, implies( implies( implies( implies( not( Z ), Z
% 0.73/1.48 ), T ), U ), implies( implies( Z, T ), U ) ) ), :=( Y, X ), :=( Z, Y )] )
% 0.73/1.48 ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.73/1.48 ), X ), X ), Y ), Y ) ) ] )
% 0.73/1.48 , clause( 14224, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.73/1.48 X ), X ), X ), Y ), Y ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.48 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14226, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.73/1.48 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies(
% 0.73/1.48 not( X ), X ), X ), Y ), Y ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 0.73/1.48 , X ), X ), Y ), Y ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.48 :=( Y, Y )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 0.73/1.48 , clause( 14226, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.73/1.48 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14227, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 0.73/1.48 Z ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 0.73/1.48 , clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 0.73/1.48 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.48 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 0.73/1.48 implies( implies( X, implies( Y, Z ) ), T ), implies( implies( Y, not( X
% 0.73/1.48 ) ), T ) ) )] ), substitution( 1, [ :=( X, implies( Y, not( X ) ) ),
% 0.73/1.48 :=( Y, implies( X, implies( Y, Z ) ) ), :=( Z, T )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 1852, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.73/1.48 ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 0.73/1.48 , clause( 14227, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.73/1.48 , Z ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14228, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y
% 0.73/1.48 ) ), implies( X, Y ) ) ) ] )
% 0.73/1.48 , clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 0.73/1.48 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.73/1.48 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z,
% 0.73/1.48 implies( implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ) )] ),
% 0.73/1.48 substitution( 1, [ :=( X, implies( not( Y ), Y ) ), :=( Y, Y ), :=( Z, X
% 0.73/1.48 ), :=( T, implies( X, Y ) )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 0.73/1.48 ), implies( X, Y ) ) ) ] )
% 0.73/1.48 , clause( 14228, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ),
% 0.73/1.48 Y ) ), implies( X, Y ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.48 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14230, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.73/1.48 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 0.73/1.48 , Y ) ), implies( X, Y ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( not( Y ), Y )
% 0.73/1.48 ), implies( X, Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.48 :=( Y, Y )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.73/1.48 , clause( 14230, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.73/1.48 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14231, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 0.73/1.48 implies( Y, X ) ) ) ] )
% 0.73/1.48 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.73/1.48 , 1, clause( 1852, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.73/1.48 Y, Z ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( implies(
% 0.73/1.48 not( X ), not( Y ) ), implies( Y, X ) ) )] ), substitution( 1, [ :=( X, Y
% 0.73/1.48 ), :=( Y, not( X ) ), :=( Z, X ), :=( T, implies( Y, X ) )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 4724, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 0.73/1.48 implies( Y, X ) ) ) ] )
% 0.73/1.48 , clause( 14231, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 0.73/1.48 implies( Y, X ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.48 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14232, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.73/1.48 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.73/1.48 , 1, clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.73/1.48 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( X, implies(
% 0.73/1.48 Y, X ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, X ),
% 0.73/1.48 :=( T, implies( Y, X ) )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.73/1.48 , clause( 14232, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.48 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14234, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 0.73/1.48 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 0.73/1.48 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.48 , implies( Y, X ) ), Z ) ) ) ] )
% 0.73/1.48 , clause( 14234, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X )
% 0.73/1.48 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14235, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.48 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.73/1.48 , clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 X, implies( Y, X ) ), Z ) ) ) ] )
% 0.73/1.48 , 1, clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.48 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, implies( implies(
% 0.73/1.48 implies( X, Y ), Z ), implies( implies( implies( T, X ), Y ), Z ) ) )] )
% 0.73/1.48 , substitution( 1, [ :=( X, X ), :=( Y, implies( T, X ) ), :=( Z, Y ),
% 0.73/1.48 :=( T, Z )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 4929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.48 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.73/1.48 , clause( 14235, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.48 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14236, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.48 implies( Y, Z ) ) ) ] )
% 0.73/1.48 , clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 X, implies( Y, X ) ), Z ) ) ) ] )
% 0.73/1.48 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.48 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( implies(
% 0.73/1.48 implies( X, Y ), Z ), implies( Y, Z ) ) )] ), substitution( 1, [ :=( X, Y
% 0.73/1.48 ), :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 4949, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.48 implies( Y, Z ) ) ) ] )
% 0.73/1.48 , clause( 14236, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.48 implies( Y, Z ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14237, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.48 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.73/1.48 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.73/1.48 )
% 0.73/1.48 , 1, clause( 4929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.73/1.48 , implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.73/1.48 implies( implies( X, Y ), Z ), implies( implies( Z, T ), implies( Y, T )
% 0.73/1.48 ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies(
% 0.73/1.48 implies( Z, T ), implies( Y, T ) ) ), :=( T, X )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.48 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.73/1.48 , clause( 14237, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.48 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14238, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 0.73/1.48 Z ) ), T ), implies( not( X ), T ) ) ) ] )
% 0.73/1.48 , clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 0.73/1.48 , 1, clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.73/1.48 , implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 0.73/1.48 implies( implies( X, implies( Y, Z ) ), T ), implies( not( X ), T ) ) )] )
% 0.73/1.48 , substitution( 1, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 0.73/1.48 implies( Y, Z ) ) ), :=( T, T )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 5874, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.73/1.48 ) ), T ), implies( not( X ), T ) ) ) ] )
% 0.73/1.48 , clause( 14238, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.73/1.48 , Z ) ), T ), implies( not( X ), T ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14239, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ]
% 0.73/1.48 )
% 0.73/1.48 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.73/1.48 , 1, clause( 5874, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.73/1.48 Y, Z ) ), T ), implies( not( X ), T ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( not( X ),
% 0.73/1.48 implies( X, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, not( Y ) )
% 0.73/1.48 , :=( Z, Y ), :=( T, implies( X, Y ) )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 5883, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 0.73/1.48 , clause( 14239, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ]
% 0.73/1.48 )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.48 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14241, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies( X
% 0.73/1.48 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 5883, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) )
% 0.73/1.48 ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( not( X ), implies( X, Y ) ) ), :=(
% 0.73/1.48 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 5906, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 0.73/1.48 , clause( 14241, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies(
% 0.73/1.48 X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14242, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 0.73/1.48 , clause( 5906, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 0.73/1.48 , 1, clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 0.73/1.48 , Y ) ), implies( X, Y ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, X ), :=( Z, implies( not(
% 0.73/1.48 not( X ) ), X ) )] ), substitution( 1, [ :=( X, not( not( X ) ) ), :=( Y
% 0.73/1.48 , X )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 5926, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 0.73/1.48 , clause( 14242, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14244, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ), X )
% 0.73/1.48 , Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 5926, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( not( not( X ) ), X ) ), :=( Y, Y )] )
% 0.73/1.48 , substitution( 1, [ :=( X, X )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 5989, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 not( not( X ) ), X ), Y ) ) ) ] )
% 0.73/1.48 , clause( 14244, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ), X
% 0.73/1.48 ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.73/1.48 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14245, [ 'is_a_theorem'( implies( X, not( not( X ) ) ) ) ] )
% 0.73/1.48 , clause( 5989, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 not( not( X ) ), X ), Y ) ) ) ] )
% 0.73/1.48 , 1, clause( 4724, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) )
% 0.73/1.48 , implies( Y, X ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, implies( X, not( not( X )
% 0.73/1.48 ) ) )] ), substitution( 1, [ :=( X, not( not( X ) ) ), :=( Y, X )] )
% 0.73/1.48 ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 6369, [ 'is_a_theorem'( implies( X, not( not( X ) ) ) ) ] )
% 0.73/1.48 , clause( 14245, [ 'is_a_theorem'( implies( X, not( not( X ) ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14247, [ ~( 'is_a_theorem'( implies( implies( X, not( not( X ) ) )
% 0.73/1.48 , Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 6369, [ 'is_a_theorem'( implies( X, not( not( X ) ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( X, not( not( X ) ) ) ), :=( Y, Y )] )
% 0.73/1.48 , substitution( 1, [ :=( X, X )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 6533, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.48 , not( not( X ) ) ), Y ) ) ) ] )
% 0.73/1.48 , clause( 14247, [ ~( 'is_a_theorem'( implies( implies( X, not( not( X ) )
% 0.73/1.48 ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.73/1.48 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14248, [ 'is_a_theorem'( implies( X, not( not( implies( Y, X ) ) )
% 0.73/1.48 ) ) ] )
% 0.73/1.48 , clause( 6533, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 X, not( not( X ) ) ), Y ) ) ) ] )
% 0.73/1.48 , 1, clause( 4949, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.73/1.48 , implies( Y, Z ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( Y, X ) ), :=( Y, implies( X, not(
% 0.73/1.48 not( implies( Y, X ) ) ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X
% 0.73/1.48 ), :=( Z, not( not( implies( Y, X ) ) ) )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 6745, [ 'is_a_theorem'( implies( X, not( not( implies( Y, X ) ) ) )
% 0.73/1.48 ) ] )
% 0.73/1.48 , clause( 14248, [ 'is_a_theorem'( implies( X, not( not( implies( Y, X ) )
% 0.73/1.48 ) ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.48 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14250, [ ~( 'is_a_theorem'( implies( implies( X, not( not( implies(
% 0.73/1.48 Y, X ) ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.48 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.48 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.48 , 2, clause( 6745, [ 'is_a_theorem'( implies( X, not( not( implies( Y, X )
% 0.73/1.48 ) ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, implies( X, not( not( implies( Y, X ) ) ) )
% 0.73/1.48 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 6921, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.48 , not( not( implies( Y, X ) ) ) ), Z ) ) ) ] )
% 0.73/1.48 , clause( 14250, [ ~( 'is_a_theorem'( implies( implies( X, not( not(
% 0.73/1.48 implies( Y, X ) ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.48 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14251, [ 'is_a_theorem'( implies( not( implies( X, not( Y ) ) ), Y
% 0.73/1.48 ) ) ] )
% 0.73/1.48 , clause( 6921, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.48 X, not( not( implies( Y, X ) ) ) ), Z ) ) ) ] )
% 0.73/1.48 , 1, clause( 4724, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) )
% 0.73/1.48 , implies( Y, X ) ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [ :=( X, not( Y ) ), :=( Y, X ), :=( Z, implies( not(
% 0.73/1.48 implies( X, not( Y ) ) ), Y ) )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.73/1.48 , not( implies( X, not( Y ) ) ) )] )).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 14073, [ 'is_a_theorem'( implies( not( implies( X, not( Y ) ) ), Y
% 0.73/1.48 ) ) ] )
% 0.73/1.48 , clause( 14251, [ 'is_a_theorem'( implies( not( implies( X, not( Y ) ) ),
% 0.73/1.48 Y ) ) ] )
% 0.73/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.48 )] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 resolution(
% 0.73/1.48 clause( 14252, [] )
% 0.73/1.48 , clause( 4, [ ~( 'is_a_theorem'( implies( not( implies( x, not( y ) ) ), y
% 0.73/1.48 ) ) ) ] )
% 0.73/1.48 , 0, clause( 14073, [ 'is_a_theorem'( implies( not( implies( X, not( Y ) )
% 0.73/1.48 ), Y ) ) ] )
% 0.73/1.48 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, y )] )
% 0.73/1.48 ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 subsumption(
% 0.73/1.48 clause( 14162, [] )
% 0.73/1.48 , clause( 14252, [] )
% 0.73/1.48 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 end.
% 0.73/1.48
% 0.73/1.48 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.48
% 0.73/1.48 Memory use:
% 0.73/1.48
% 0.73/1.48 space for terms: 305963
% 0.73/1.48 space for clauses: 1596208
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 clauses generated: 64984
% 0.73/1.48 clauses kept: 14163
% 0.73/1.48 clauses selected: 1266
% 0.73/1.48 clauses deleted: 157
% 0.73/1.48 clauses inuse deleted: 50
% 0.73/1.48
% 0.73/1.48 subsentry: 53349
% 0.73/1.48 literals s-matched: 50980
% 0.73/1.48 literals matched: 50979
% 0.73/1.48 full subsumption: 0
% 0.73/1.48
% 0.73/1.48 checksum: -1895310279
% 0.73/1.48
% 0.73/1.48
% 0.73/1.48 Bliksem ended
%------------------------------------------------------------------------------