TSTP Solution File: SYN039-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN039-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 : Thu Jul 21 02:46:55 EDT 2022
% Result : Unsatisfiable 0.72s 1.12s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n027.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 11 16:40:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.12 *** allocated 10000 integers for termspace/termends
% 0.72/1.12 *** allocated 10000 integers for clauses
% 0.72/1.12 *** allocated 10000 integers for justifications
% 0.72/1.12 Bliksem 1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Automatic Strategy Selection
% 0.72/1.12
% 0.72/1.12 Clauses:
% 0.72/1.12 [
% 0.72/1.12 [ p( f1( X, Y ), f1( X, Y ) ), ~( s( X, f1( X, Y ) ) ), ~( q( Y, f1( X,
% 0.72/1.12 Y ) ) ) ],
% 0.72/1.12 [ p( f1( X, Y ), f1( X, Y ) ), ~( s( X, f1( X, Y ) ) ), q( f1( X, Y ), Z
% 0.72/1.12 ) ],
% 0.72/1.12 [ p( f1( X, Y ), f1( X, Y ) ), ~( s( X, f1( X, Y ) ) ), ~( s( Y, Y ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ p( f1( X, Y ), f1( X, Y ) ), s( f1( X, Y ), Z ), ~( q( Y, f1( X, Y ) )
% 0.72/1.12 ) ],
% 0.72/1.12 [ p( f1( X, Y ), f1( X, Y ) ), s( f1( X, Y ), Z ), q( f1( X, Y ), T ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ p( f1( X, Y ), f1( X, Y ) ), s( f1( X, Y ), Z ), ~( s( Y, Y ) ) ],
% 0.72/1.12 [ p( f1( X, Y ), f1( X, Y ) ), ~( q( Z, Z ) ), ~( q( Y, f1( X, Y ) ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ p( f1( X, Y ), f1( X, Y ) ), ~( q( Z, Z ) ), q( f1( X, Y ), Z ) ],
% 0.72/1.12 [ p( f1( X, Y ), f1( X, Y ) ), ~( q( Z, Z ) ), ~( s( Y, Y ) ) ],
% 0.72/1.12 [ ~( p( X, X ) ), ~( s( X, f1( X, Y ) ) ), ~( q( Y, f1( X, Y ) ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( p( X, X ) ), ~( s( X, f1( X, Y ) ) ), q( f1( X, Y ), Z ) ],
% 0.72/1.12 [ ~( p( X, X ) ), ~( s( X, f1( X, Y ) ) ), ~( s( Y, Y ) ) ],
% 0.72/1.12 [ ~( p( X, X ) ), s( f1( X, Y ), Z ), ~( q( Y, f1( X, Y ) ) ) ],
% 0.72/1.12 [ ~( p( X, X ) ), s( f1( X, Y ), Z ), q( f1( X, Y ), T ) ],
% 0.72/1.12 [ ~( p( X, X ) ), s( f1( X, Y ), Z ), ~( s( Y, Y ) ) ],
% 0.72/1.12 [ ~( p( X, X ) ), ~( q( Y, Y ) ), ~( q( Z, f1( X, Z ) ) ) ],
% 0.72/1.12 [ ~( p( X, X ) ), ~( q( Y, Y ) ), q( f1( X, Z ), Y ) ],
% 0.72/1.12 [ ~( p( X, X ) ), ~( q( Y, Y ) ), ~( s( Z, Z ) ) ],
% 0.72/1.12 [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), ~( q( Z, f1( Y, Z ) ) ) ],
% 0.72/1.12 [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), q( f1( Y, Z ), T ) ],
% 0.72/1.12 [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), ~( s( Z, Z ) ) ],
% 0.72/1.12 [ s( X, Y ), s( f1( Y, Z ), X ), ~( q( Z, f1( Y, Z ) ) ) ],
% 0.72/1.12 [ s( X, Y ), s( f1( Y, Z ), X ), q( f1( Y, Z ), T ) ],
% 0.72/1.12 [ s( X, Y ), s( f1( Y, Z ), X ), ~( s( Z, Z ) ) ],
% 0.72/1.12 [ s( X, Y ), ~( q( Z, Z ) ), ~( q( T, f1( Y, T ) ) ) ],
% 0.72/1.12 [ s( X, Y ), ~( q( Z, Z ) ), q( f1( Y, T ), Z ) ],
% 0.72/1.12 [ s( X, Y ), ~( q( Z, Z ) ), ~( s( T, T ) ) ]
% 0.72/1.12 ] .
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 percentage equality = 0.000000, percentage horn = 0.592593
% 0.72/1.12 This a non-horn, non-equality problem
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Options Used:
% 0.72/1.12
% 0.72/1.12 useres = 1
% 0.72/1.12 useparamod = 0
% 0.72/1.12 useeqrefl = 0
% 0.72/1.12 useeqfact = 0
% 0.72/1.12 usefactor = 1
% 0.72/1.12 usesimpsplitting = 0
% 0.72/1.12 usesimpdemod = 0
% 0.72/1.12 usesimpres = 3
% 0.72/1.12
% 0.72/1.12 resimpinuse = 1000
% 0.72/1.12 resimpclauses = 20000
% 0.72/1.12 substype = standard
% 0.72/1.12 backwardsubs = 1
% 0.72/1.12 selectoldest = 5
% 0.72/1.12
% 0.72/1.12 litorderings [0] = split
% 0.72/1.12 litorderings [1] = liftord
% 0.72/1.12
% 0.72/1.12 termordering = none
% 0.72/1.12
% 0.72/1.12 litapriori = 1
% 0.72/1.12 termapriori = 0
% 0.72/1.12 litaposteriori = 0
% 0.72/1.12 termaposteriori = 0
% 0.72/1.12 demodaposteriori = 0
% 0.72/1.12 ordereqreflfact = 0
% 0.72/1.12
% 0.72/1.12 litselect = none
% 0.72/1.12
% 0.72/1.12 maxweight = 15
% 0.72/1.12 maxdepth = 30000
% 0.72/1.12 maxlength = 115
% 0.72/1.12 maxnrvars = 195
% 0.72/1.12 excuselevel = 1
% 0.72/1.12 increasemaxweight = 1
% 0.72/1.12
% 0.72/1.12 maxselected = 10000000
% 0.72/1.12 maxnrclauses = 10000000
% 0.72/1.12
% 0.72/1.12 showgenerated = 0
% 0.72/1.12 showkept = 0
% 0.72/1.12 showselected = 0
% 0.72/1.12 showdeleted = 0
% 0.72/1.12 showresimp = 1
% 0.72/1.12 showstatus = 2000
% 0.72/1.12
% 0.72/1.12 prologoutput = 1
% 0.72/1.12 nrgoals = 5000000
% 0.72/1.12 totalproof = 1
% 0.72/1.12
% 0.72/1.12 Symbols occurring in the translation:
% 0.72/1.12
% 0.72/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.12 . [1, 2] (w:1, o:18, a:1, s:1, b:0),
% 0.72/1.12 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.72/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.12 f1 [41, 2] (w:1, o:43, a:1, s:1, b:0),
% 0.72/1.12 p [42, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.72/1.12 s [43, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.72/1.12 q [44, 2] (w:1, o:46, a:1, s:1, b:0).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Starting Search:
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Bliksems!, er is een bewijs:
% 0.72/1.12 % SZS status Unsatisfiable
% 0.72/1.12 % SZS output start Refutation
% 0.72/1.12
% 0.72/1.12 clause( 1, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( X, f1( X, Y ) ) ), q( f1( X
% 0.72/1.12 , Y ), Z ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 2, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Y, Y ) ), ~( s( X, f1( X, Y
% 0.72/1.12 ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 4, [ p( f1( X, Y ), f1( X, Y ) ), s( f1( X, Y ), Z ), q( f1( X, Y )
% 0.72/1.12 , T ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 5, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Y, Y ) ), s( f1( X, Y ), Z
% 0.72/1.12 ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 6, [ p( f1( X, Y ), f1( X, Y ) ), ~( q( Y, f1( X, Y ) ) ), ~( q( Z
% 0.72/1.12 , Z ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 11, [ ~( p( X, X ) ), ~( s( Y, Y ) ), ~( s( X, f1( X, Y ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 13, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), q( f1( X, Y ), T ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 14, [ ~( p( X, X ) ), ~( s( Y, Y ) ), s( f1( X, Y ), Z ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 15, [ ~( p( X, X ) ), ~( q( Z, f1( X, Z ) ) ), ~( q( Y, Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 16, [ ~( p( X, X ) ), q( f1( X, Z ), Y ), ~( q( Y, Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 19, [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), q( f1( Y, Z ), T ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 20, [ ~( s( Y, f1( Y, Z ) ) ), ~( s( Z, Z ) ), s( X, Y ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 24, [ s( X, Y ), ~( q( T, f1( Y, T ) ) ), ~( q( Z, Z ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 25, [ s( X, Y ), q( f1( Y, T ), Z ), ~( q( Z, Z ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 32, [ s( Y, Z ), ~( s( f1( Z, X ), f1( f1( Z, X ), T ) ) ), ~( s( T
% 0.72/1.12 , T ) ), ~( s( X, X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 61, [ ~( p( X, X ) ), ~( s( Z, Z ) ), s( T, f1( X, Y ) ), ~( s( Y,
% 0.72/1.12 Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 66, [ ~( p( X, X ) ), s( Z, f1( X, Y ) ), ~( s( Y, Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 79, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Z, Z ) ), ~( s( Y, Y ) ) ]
% 0.72/1.12 )
% 0.72/1.12 .
% 0.72/1.12 clause( 80, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Y, Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 84, [ ~( p( X, X ) ), ~( s( Y, Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 109, [ p( f1( X, Y ), f1( X, Y ) ), s( f1( X, Y ), Z ), s( T, U ),
% 0.72/1.12 ~( q( W, W ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 114, [ p( f1( X, Y ), f1( X, Y ) ), s( f1( X, Y ), Z ), ~( q( T, T
% 0.72/1.12 ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 121, [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), s( T, U ), q( f1( U, W )
% 0.72/1.12 , f1( Y, Z ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 124, [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), q( f1( Y, T ), f1( Y, Z
% 0.72/1.12 ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 131, [ ~( p( X, X ) ), ~( p( T, T ) ), s( f1( X, Y ), Z ), ~( q( U
% 0.72/1.12 , f1( T, U ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 132, [ ~( p( X, X ) ), ~( p( T, T ) ), s( f1( X, Y ), Z ), q( f1( T
% 0.72/1.12 , U ), f1( X, Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 137, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), q( f1( X, T ), f1( X, Y
% 0.72/1.12 ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 138, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), ~( q( T, f1( X, T ) ) )
% 0.72/1.12 ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 170, [ ~( p( X, X ) ), s( f1( X, T ), U ), s( f1( X, f1( X, Y ) ),
% 0.72/1.12 Z ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 171, [ ~( p( X, X ) ), s( f1( X, f1( X, Y ) ), Z ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 174, [ ~( p( Y, Y ) ), ~( p( X, X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 175, [ ~( p( X, X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 178, [ ~( s( Z, Z ) ), ~( s( T, T ) ), s( X, Y ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 179, [ s( Y, Z ), ~( s( X, X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 182, [ ~( s( X, X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 185, [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), ~( q( U, f1( T, U ) ) )
% 0.72/1.12 ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 187, [ ~( s( Y, f1( Y, Z ) ) ), ~( s( T, f1( T, U ) ) ), s( X, Y )
% 0.72/1.12 ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 188, [ s( Z, X ), ~( s( X, f1( X, Y ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 191, [ ~( s( X, f1( X, Y ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 192, [ s( f1( X, Y ), Z ), ~( q( T, T ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 193, [ s( f1( T, U ), W ), s( f1( X, Y ), Z ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 194, [ s( f1( X, Y ), Z ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 195, [] )
% 0.72/1.12 .
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 % SZS output end Refutation
% 0.72/1.12 found a proof!
% 0.72/1.12
% 0.72/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.12
% 0.72/1.12 initialclauses(
% 0.72/1.12 [ clause( 197, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( X, f1( X, Y ) ) ), ~( q(
% 0.72/1.12 Y, f1( X, Y ) ) ) ] )
% 0.72/1.12 , clause( 198, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( X, f1( X, Y ) ) ), q(
% 0.72/1.12 f1( X, Y ), Z ) ] )
% 0.72/1.12 , clause( 199, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( X, f1( X, Y ) ) ), ~( s(
% 0.72/1.12 Y, Y ) ) ] )
% 0.72/1.12 , clause( 200, [ p( f1( X, Y ), f1( X, Y ) ), s( f1( X, Y ), Z ), ~( q( Y,
% 0.72/1.12 f1( X, Y ) ) ) ] )
% 0.72/1.12 , clause( 201, [ p( f1( X, Y ), f1( X, Y ) ), s( f1( X, Y ), Z ), q( f1( X
% 0.72/1.12 , Y ), T ) ] )
% 0.72/1.12 , clause( 202, [ p( f1( X, Y ), f1( X, Y ) ), s( f1( X, Y ), Z ), ~( s( Y,
% 0.72/1.12 Y ) ) ] )
% 0.72/1.12 , clause( 203, [ p( f1( X, Y ), f1( X, Y ) ), ~( q( Z, Z ) ), ~( q( Y, f1(
% 0.72/1.12 X, Y ) ) ) ] )
% 0.72/1.12 , clause( 204, [ p( f1( X, Y ), f1( X, Y ) ), ~( q( Z, Z ) ), q( f1( X, Y )
% 0.72/1.12 , Z ) ] )
% 0.72/1.12 , clause( 205, [ p( f1( X, Y ), f1( X, Y ) ), ~( q( Z, Z ) ), ~( s( Y, Y )
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 206, [ ~( p( X, X ) ), ~( s( X, f1( X, Y ) ) ), ~( q( Y, f1( X, Y
% 0.72/1.12 ) ) ) ] )
% 0.72/1.12 , clause( 207, [ ~( p( X, X ) ), ~( s( X, f1( X, Y ) ) ), q( f1( X, Y ), Z
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 208, [ ~( p( X, X ) ), ~( s( X, f1( X, Y ) ) ), ~( s( Y, Y ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 209, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), ~( q( Y, f1( X, Y ) )
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 210, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), q( f1( X, Y ), T ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 211, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), ~( s( Y, Y ) ) ] )
% 0.72/1.12 , clause( 212, [ ~( p( X, X ) ), ~( q( Y, Y ) ), ~( q( Z, f1( X, Z ) ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 213, [ ~( p( X, X ) ), ~( q( Y, Y ) ), q( f1( X, Z ), Y ) ] )
% 0.72/1.12 , clause( 214, [ ~( p( X, X ) ), ~( q( Y, Y ) ), ~( s( Z, Z ) ) ] )
% 0.72/1.12 , clause( 215, [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), ~( q( Z, f1( Y, Z ) )
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 216, [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), q( f1( Y, Z ), T ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 217, [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), ~( s( Z, Z ) ) ] )
% 0.72/1.12 , clause( 218, [ s( X, Y ), s( f1( Y, Z ), X ), ~( q( Z, f1( Y, Z ) ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 219, [ s( X, Y ), s( f1( Y, Z ), X ), q( f1( Y, Z ), T ) ] )
% 0.72/1.12 , clause( 220, [ s( X, Y ), s( f1( Y, Z ), X ), ~( s( Z, Z ) ) ] )
% 0.72/1.12 , clause( 221, [ s( X, Y ), ~( q( Z, Z ) ), ~( q( T, f1( Y, T ) ) ) ] )
% 0.72/1.12 , clause( 222, [ s( X, Y ), ~( q( Z, Z ) ), q( f1( Y, T ), Z ) ] )
% 0.72/1.12 , clause( 223, [ s( X, Y ), ~( q( Z, Z ) ), ~( s( T, T ) ) ] )
% 0.72/1.12 ] ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 1, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( X, f1( X, Y ) ) ), q( f1( X
% 0.72/1.12 , Y ), Z ) ] )
% 0.72/1.12 , clause( 198, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( X, f1( X, Y ) ) ), q(
% 0.72/1.12 f1( X, Y ), Z ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 2, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Y, Y ) ), ~( s( X, f1( X, Y
% 0.72/1.12 ) ) ) ] )
% 0.72/1.12 , clause( 199, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( X, f1( X, Y ) ) ), ~( s(
% 0.72/1.12 Y, Y ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 4, [ p( f1( X, Y ), f1( X, Y ) ), s( f1( X, Y ), Z ), q( f1( X, Y )
% 0.72/1.12 , T ) ] )
% 0.72/1.12 , clause( 201, [ p( f1( X, Y ), f1( X, Y ) ), s( f1( X, Y ), Z ), q( f1( X
% 0.72/1.12 , Y ), T ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 5, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Y, Y ) ), s( f1( X, Y ), Z
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 202, [ p( f1( X, Y ), f1( X, Y ) ), s( f1( X, Y ), Z ), ~( s( Y,
% 0.72/1.12 Y ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 6, [ p( f1( X, Y ), f1( X, Y ) ), ~( q( Y, f1( X, Y ) ) ), ~( q( Z
% 0.72/1.12 , Z ) ) ] )
% 0.72/1.12 , clause( 203, [ p( f1( X, Y ), f1( X, Y ) ), ~( q( Z, Z ) ), ~( q( Y, f1(
% 0.72/1.12 X, Y ) ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 11, [ ~( p( X, X ) ), ~( s( Y, Y ) ), ~( s( X, f1( X, Y ) ) ) ] )
% 0.72/1.12 , clause( 208, [ ~( p( X, X ) ), ~( s( X, f1( X, Y ) ) ), ~( s( Y, Y ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 13, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), q( f1( X, Y ), T ) ] )
% 0.72/1.12 , clause( 210, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), q( f1( X, Y ), T ) ]
% 0.72/1.12 )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 14, [ ~( p( X, X ) ), ~( s( Y, Y ) ), s( f1( X, Y ), Z ) ] )
% 0.72/1.12 , clause( 211, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), ~( s( Y, Y ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 15, [ ~( p( X, X ) ), ~( q( Z, f1( X, Z ) ) ), ~( q( Y, Y ) ) ] )
% 0.72/1.12 , clause( 212, [ ~( p( X, X ) ), ~( q( Y, Y ) ), ~( q( Z, f1( X, Z ) ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 16, [ ~( p( X, X ) ), q( f1( X, Z ), Y ), ~( q( Y, Y ) ) ] )
% 0.72/1.12 , clause( 213, [ ~( p( X, X ) ), ~( q( Y, Y ) ), q( f1( X, Z ), Y ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 19, [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), q( f1( Y, Z ), T ) ] )
% 0.72/1.12 , clause( 216, [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), q( f1( Y, Z ), T ) ]
% 0.72/1.12 )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 20, [ ~( s( Y, f1( Y, Z ) ) ), ~( s( Z, Z ) ), s( X, Y ) ] )
% 0.72/1.12 , clause( 217, [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), ~( s( Z, Z ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 24, [ s( X, Y ), ~( q( T, f1( Y, T ) ) ), ~( q( Z, Z ) ) ] )
% 0.72/1.12 , clause( 221, [ s( X, Y ), ~( q( Z, Z ) ), ~( q( T, f1( Y, T ) ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 25, [ s( X, Y ), q( f1( Y, T ), Z ), ~( q( Z, Z ) ) ] )
% 0.72/1.12 , clause( 222, [ s( X, Y ), ~( q( Z, Z ) ), q( f1( Y, T ), Z ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 224, [ ~( s( Y, Y ) ), s( Z, X ), ~( s( f1( X, Y ), f1( f1( X, Y )
% 0.72/1.12 , T ) ) ), ~( s( T, T ) ) ] )
% 0.72/1.12 , clause( 20, [ ~( s( Y, f1( Y, Z ) ) ), ~( s( Z, Z ) ), s( X, Y ) ] )
% 0.72/1.12 , 0, clause( 20, [ ~( s( Y, f1( Y, Z ) ) ), ~( s( Z, Z ) ), s( X, Y ) ] )
% 0.72/1.12 , 2, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.72/1.12 substitution( 1, [ :=( X, X ), :=( Y, f1( X, Y ) ), :=( Z, T )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 32, [ s( Y, Z ), ~( s( f1( Z, X ), f1( f1( Z, X ), T ) ) ), ~( s( T
% 0.72/1.12 , T ) ), ~( s( X, X ) ) ] )
% 0.72/1.12 , clause( 224, [ ~( s( Y, Y ) ), s( Z, X ), ~( s( f1( X, Y ), f1( f1( X, Y
% 0.72/1.12 ), T ) ) ), ~( s( T, T ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 )] )
% 0.72/1.12 ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 229, [ ~( s( Z, Z ) ), s( T, f1( X, Y ) ), ~( p( X, X ) ), ~( s( Y
% 0.72/1.12 , Y ) ) ] )
% 0.72/1.12 , clause( 20, [ ~( s( Y, f1( Y, Z ) ) ), ~( s( Z, Z ) ), s( X, Y ) ] )
% 0.72/1.12 , 0, clause( 14, [ ~( p( X, X ) ), ~( s( Y, Y ) ), s( f1( X, Y ), Z ) ] )
% 0.72/1.12 , 2, substitution( 0, [ :=( X, T ), :=( Y, f1( X, Y ) ), :=( Z, Z )] ),
% 0.72/1.12 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, f1( f1( X, Y ), Z ) )] )
% 0.72/1.12 ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 61, [ ~( p( X, X ) ), ~( s( Z, Z ) ), s( T, f1( X, Y ) ), ~( s( Y,
% 0.72/1.12 Y ) ) ] )
% 0.72/1.12 , clause( 229, [ ~( s( Z, Z ) ), s( T, f1( X, Y ) ), ~( p( X, X ) ), ~( s(
% 0.72/1.12 Y, Y ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 ), ==>( 3, 3 )] )
% 0.72/1.12 ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 factor(
% 0.72/1.12 clause( 232, [ ~( p( X, X ) ), ~( s( Y, Y ) ), s( Z, f1( X, Y ) ) ] )
% 0.72/1.12 , clause( 61, [ ~( p( X, X ) ), ~( s( Z, Z ) ), s( T, f1( X, Y ) ), ~( s( Y
% 0.72/1.12 , Y ) ) ] )
% 0.72/1.12 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z )] )
% 0.72/1.12 ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 66, [ ~( p( X, X ) ), s( Z, f1( X, Y ) ), ~( s( Y, Y ) ) ] )
% 0.72/1.12 , clause( 232, [ ~( p( X, X ) ), ~( s( Y, Y ) ), s( Z, f1( X, Y ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 234, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Y, Y ) ), ~( s( f1( X, Y
% 0.72/1.12 ), f1( f1( X, Y ), Z ) ) ), ~( s( Z, Z ) ) ] )
% 0.72/1.12 , clause( 2, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Y, Y ) ), ~( s( X, f1( X
% 0.72/1.12 , Y ) ) ) ] )
% 0.72/1.12 , 2, clause( 20, [ ~( s( Y, f1( Y, Z ) ) ), ~( s( Z, Z ) ), s( X, Y ) ] )
% 0.72/1.12 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.72/1.12 , X ), :=( Y, f1( X, Y ) ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 factor(
% 0.72/1.12 clause( 235, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Y, Y ) ), ~( s( f1( X, Y
% 0.72/1.12 ), f1( f1( X, Y ), Y ) ) ) ] )
% 0.72/1.12 , clause( 234, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Y, Y ) ), ~( s( f1( X,
% 0.72/1.12 Y ), f1( f1( X, Y ), Z ) ) ), ~( s( Z, Z ) ) ] )
% 0.72/1.12 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 237, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Y, Y ) ), p( f1( X, Y ),
% 0.72/1.12 f1( X, Y ) ), ~( s( Y, Y ) ) ] )
% 0.72/1.12 , clause( 235, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Y, Y ) ), ~( s( f1( X,
% 0.72/1.12 Y ), f1( f1( X, Y ), Y ) ) ) ] )
% 0.72/1.12 , 2, clause( 5, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Y, Y ) ), s( f1( X, Y
% 0.72/1.12 ), Z ) ] )
% 0.72/1.12 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.72/1.12 , X ), :=( Y, Y ), :=( Z, f1( f1( X, Y ), Y ) )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 factor(
% 0.72/1.12 clause( 238, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Y, Y ) ), ~( s( Y, Y ) )
% 0.72/1.12 ] )
% 0.72/1.12 , clause( 237, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Y, Y ) ), p( f1( X, Y )
% 0.72/1.12 , f1( X, Y ) ), ~( s( Y, Y ) ) ] )
% 0.72/1.12 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 79, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Z, Z ) ), ~( s( Y, Y ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 238, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Y, Y ) ), ~( s( Y, Y )
% 0.72/1.12 ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 ), ==>( 1, 2 ), ==>( 2, 2 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 factor(
% 0.72/1.12 clause( 240, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Y, Y ) ) ] )
% 0.72/1.12 , clause( 79, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Z, Z ) ), ~( s( Y, Y ) )
% 0.72/1.12 ] )
% 0.72/1.12 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 80, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Y, Y ) ) ] )
% 0.72/1.12 , clause( 240, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Y, Y ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 ), ==>( 1, 1 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 241, [ ~( p( X, X ) ), ~( s( Y, Y ) ), ~( p( X, X ) ), ~( s( Y, Y )
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 11, [ ~( p( X, X ) ), ~( s( Y, Y ) ), ~( s( X, f1( X, Y ) ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , 2, clause( 66, [ ~( p( X, X ) ), s( Z, f1( X, Y ) ), ~( s( Y, Y ) ) ] )
% 0.72/1.12 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.72/1.12 , X ), :=( Y, Y ), :=( Z, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 factor(
% 0.72/1.12 clause( 242, [ ~( p( X, X ) ), ~( s( Y, Y ) ), ~( s( Y, Y ) ) ] )
% 0.72/1.12 , clause( 241, [ ~( p( X, X ) ), ~( s( Y, Y ) ), ~( p( X, X ) ), ~( s( Y, Y
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 factor(
% 0.72/1.12 clause( 243, [ ~( p( X, X ) ), ~( s( Y, Y ) ) ] )
% 0.72/1.12 , clause( 242, [ ~( p( X, X ) ), ~( s( Y, Y ) ), ~( s( Y, Y ) ) ] )
% 0.72/1.12 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 84, [ ~( p( X, X ) ), ~( s( Y, Y ) ) ] )
% 0.72/1.12 , clause( 243, [ ~( p( X, X ) ), ~( s( Y, Y ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 ), ==>( 1, 1 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 244, [ s( X, Y ), ~( q( U, U ) ), p( f1( Z, T ), f1( Z, T ) ), s(
% 0.72/1.12 f1( Z, T ), W ) ] )
% 0.72/1.12 , clause( 24, [ s( X, Y ), ~( q( T, f1( Y, T ) ) ), ~( q( Z, Z ) ) ] )
% 0.72/1.12 , 1, clause( 4, [ p( f1( X, Y ), f1( X, Y ) ), s( f1( X, Y ), Z ), q( f1( X
% 0.72/1.12 , Y ), T ) ] )
% 0.72/1.12 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, U ), :=( T, f1( Z, T
% 0.72/1.12 ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, T ), :=( Z, W ), :=( T, f1(
% 0.72/1.12 Y, f1( Z, T ) ) )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 109, [ p( f1( X, Y ), f1( X, Y ) ), s( f1( X, Y ), Z ), s( T, U ),
% 0.72/1.12 ~( q( W, W ) ) ] )
% 0.72/1.12 , clause( 244, [ s( X, Y ), ~( q( U, U ) ), p( f1( Z, T ), f1( Z, T ) ), s(
% 0.72/1.12 f1( Z, T ), W ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, f1( X, Y ) ), :=( Y, Z ), :=( Z, X ), :=( T, Y
% 0.72/1.12 ), :=( U, W ), :=( W, Z )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 3 )
% 0.72/1.12 , ==>( 2, 0 ), ==>( 3, 1 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 factor(
% 0.72/1.12 clause( 248, [ p( f1( X, Y ), f1( X, Y ) ), s( f1( X, Y ), Z ), ~( q( T, T
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , clause( 109, [ p( f1( X, Y ), f1( X, Y ) ), s( f1( X, Y ), Z ), s( T, U )
% 0.72/1.12 , ~( q( W, W ) ) ] )
% 0.72/1.12 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, f1( X
% 0.72/1.12 , Y ) ), :=( U, Z ), :=( W, T )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 114, [ p( f1( X, Y ), f1( X, Y ) ), s( f1( X, Y ), Z ), ~( q( T, T
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , clause( 248, [ p( f1( X, Y ), f1( X, Y ) ), s( f1( X, Y ), Z ), ~( q( T,
% 0.72/1.12 T ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 250, [ s( X, Y ), q( f1( Y, Z ), f1( T, U ) ), s( W, T ), ~( s( T,
% 0.72/1.12 f1( T, U ) ) ) ] )
% 0.72/1.12 , clause( 25, [ s( X, Y ), q( f1( Y, T ), Z ), ~( q( Z, Z ) ) ] )
% 0.72/1.12 , 2, clause( 19, [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), q( f1( Y, Z ), T ) ]
% 0.72/1.12 )
% 0.72/1.12 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, f1( T, U ) ), :=( T
% 0.72/1.12 , Z )] ), substitution( 1, [ :=( X, W ), :=( Y, T ), :=( Z, U ), :=( T,
% 0.72/1.12 f1( T, U ) )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 121, [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), s( T, U ), q( f1( U, W )
% 0.72/1.12 , f1( Y, Z ) ) ] )
% 0.72/1.12 , clause( 250, [ s( X, Y ), q( f1( Y, Z ), f1( T, U ) ), s( W, T ), ~( s( T
% 0.72/1.12 , f1( T, U ) ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, Y ), :=( U
% 0.72/1.12 , Z ), :=( W, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 3 ), ==>( 2
% 0.72/1.12 , 0 ), ==>( 3, 1 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 factor(
% 0.72/1.12 clause( 252, [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), q( f1( Y, T ), f1( Y, Z
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , clause( 121, [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), s( T, U ), q( f1( U, W
% 0.72/1.12 ), f1( Y, Z ) ) ] )
% 0.72/1.12 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X ),
% 0.72/1.12 :=( U, Y ), :=( W, T )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 124, [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), q( f1( Y, T ), f1( Y, Z
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , clause( 252, [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), q( f1( Y, T ), f1( Y,
% 0.72/1.12 Z ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 254, [ ~( p( X, X ) ), ~( q( Y, f1( X, Y ) ) ), ~( p( Z, Z ) ), s(
% 0.72/1.12 f1( Z, T ), U ) ] )
% 0.72/1.12 , clause( 15, [ ~( p( X, X ) ), ~( q( Z, f1( X, Z ) ) ), ~( q( Y, Y ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , 2, clause( 13, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), q( f1( X, Y ), T ) ]
% 0.72/1.12 )
% 0.72/1.12 , 2, substitution( 0, [ :=( X, X ), :=( Y, f1( Z, T ) ), :=( Z, Y )] ),
% 0.72/1.12 substitution( 1, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, f1( Z, T )
% 0.72/1.12 )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 131, [ ~( p( X, X ) ), ~( p( T, T ) ), s( f1( X, Y ), Z ), ~( q( U
% 0.72/1.12 , f1( T, U ) ) ) ] )
% 0.72/1.12 , clause( 254, [ ~( p( X, X ) ), ~( q( Y, f1( X, Y ) ) ), ~( p( Z, Z ) ), s(
% 0.72/1.12 f1( Z, T ), U ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, X ), :=( T, Y ), :=( U
% 0.72/1.12 , Z )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 3 ), ==>( 2, 0 ), ==>( 3
% 0.72/1.12 , 2 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 257, [ ~( p( X, X ) ), q( f1( X, Y ), f1( Z, T ) ), ~( p( Z, Z ) )
% 0.72/1.12 , s( f1( Z, T ), U ) ] )
% 0.72/1.12 , clause( 16, [ ~( p( X, X ) ), q( f1( X, Z ), Y ), ~( q( Y, Y ) ) ] )
% 0.72/1.12 , 2, clause( 13, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), q( f1( X, Y ), T ) ]
% 0.72/1.12 )
% 0.72/1.12 , 2, substitution( 0, [ :=( X, X ), :=( Y, f1( Z, T ) ), :=( Z, Y )] ),
% 0.72/1.12 substitution( 1, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, f1( Z, T )
% 0.72/1.12 )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 132, [ ~( p( X, X ) ), ~( p( T, T ) ), s( f1( X, Y ), Z ), q( f1( T
% 0.72/1.12 , U ), f1( X, Y ) ) ] )
% 0.72/1.12 , clause( 257, [ ~( p( X, X ) ), q( f1( X, Y ), f1( Z, T ) ), ~( p( Z, Z )
% 0.72/1.12 ), s( f1( Z, T ), U ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, X ), :=( T, Y ), :=( U
% 0.72/1.12 , Z )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 3 ), ==>( 2, 0 ), ==>( 3
% 0.72/1.12 , 2 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 factor(
% 0.72/1.12 clause( 259, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), q( f1( X, T ), f1( X, Y
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , clause( 132, [ ~( p( X, X ) ), ~( p( T, T ) ), s( f1( X, Y ), Z ), q( f1(
% 0.72/1.12 T, U ), f1( X, Y ) ) ] )
% 0.72/1.12 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X ),
% 0.72/1.12 :=( U, T )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 137, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), q( f1( X, T ), f1( X, Y
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , clause( 259, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), q( f1( X, T ), f1( X,
% 0.72/1.12 Y ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 factor(
% 0.72/1.12 clause( 260, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), ~( q( T, f1( X, T ) ) )
% 0.72/1.12 ] )
% 0.72/1.12 , clause( 131, [ ~( p( X, X ) ), ~( p( T, T ) ), s( f1( X, Y ), Z ), ~( q(
% 0.72/1.12 U, f1( T, U ) ) ) ] )
% 0.72/1.12 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X ),
% 0.72/1.12 :=( U, T )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 138, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), ~( q( T, f1( X, T ) ) )
% 0.72/1.12 ] )
% 0.72/1.12 , clause( 260, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), ~( q( T, f1( X, T ) )
% 0.72/1.12 ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 261, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), ~( p( X, X ) ), s( f1( X
% 0.72/1.12 , f1( X, T ) ), U ) ] )
% 0.72/1.12 , clause( 138, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), ~( q( T, f1( X, T ) )
% 0.72/1.12 ) ] )
% 0.72/1.12 , 2, clause( 137, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), q( f1( X, T ), f1(
% 0.72/1.12 X, Y ) ) ] )
% 0.72/1.12 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, f1( X, T
% 0.72/1.12 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, f1( X, T ) ), :=( Z, U ),
% 0.72/1.12 :=( T, T )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 factor(
% 0.72/1.12 clause( 262, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), s( f1( X, f1( X, T ) ),
% 0.72/1.12 U ) ] )
% 0.72/1.12 , clause( 261, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), ~( p( X, X ) ), s( f1(
% 0.72/1.12 X, f1( X, T ) ), U ) ] )
% 0.72/1.12 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.72/1.12 :=( U, U )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 170, [ ~( p( X, X ) ), s( f1( X, T ), U ), s( f1( X, f1( X, Y ) ),
% 0.72/1.12 Z ) ] )
% 0.72/1.12 , clause( 262, [ ~( p( X, X ) ), s( f1( X, Y ), Z ), s( f1( X, f1( X, T ) )
% 0.72/1.12 , U ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, U ), :=( T, Y ), :=( U
% 0.72/1.12 , Z )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 0.72/1.12 ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 factor(
% 0.72/1.12 clause( 265, [ ~( p( X, X ) ), s( f1( X, f1( X, Y ) ), Z ) ] )
% 0.72/1.12 , clause( 170, [ ~( p( X, X ) ), s( f1( X, T ), U ), s( f1( X, f1( X, Y ) )
% 0.72/1.12 , Z ) ] )
% 0.72/1.12 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, f1( X
% 0.72/1.12 , Y ) ), :=( U, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 171, [ ~( p( X, X ) ), s( f1( X, f1( X, Y ) ), Z ) ] )
% 0.72/1.12 , clause( 265, [ ~( p( X, X ) ), s( f1( X, f1( X, Y ) ), Z ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 266, [ ~( p( X, X ) ), ~( p( Y, Y ) ) ] )
% 0.72/1.12 , clause( 84, [ ~( p( X, X ) ), ~( s( Y, Y ) ) ] )
% 0.72/1.12 , 1, clause( 171, [ ~( p( X, X ) ), s( f1( X, f1( X, Y ) ), Z ) ] )
% 0.72/1.12 , 1, substitution( 0, [ :=( X, X ), :=( Y, f1( Y, f1( Y, Z ) ) )] ),
% 0.72/1.12 substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, f1( Y, f1( Y, Z ) ) )] )
% 0.72/1.12 ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 174, [ ~( p( Y, Y ) ), ~( p( X, X ) ) ] )
% 0.72/1.12 , clause( 266, [ ~( p( X, X ) ), ~( p( Y, Y ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 ), ==>( 1, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 factor(
% 0.72/1.12 clause( 268, [ ~( p( X, X ) ) ] )
% 0.72/1.12 , clause( 174, [ ~( p( Y, Y ) ), ~( p( X, X ) ) ] )
% 0.72/1.12 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 175, [ ~( p( X, X ) ) ] )
% 0.72/1.12 , clause( 268, [ ~( p( X, X ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 269, [ s( X, Y ), ~( s( T, T ) ), ~( s( Z, Z ) ), ~( p( f1( Y, Z )
% 0.72/1.12 , f1( Y, Z ) ) ), ~( s( T, T ) ) ] )
% 0.72/1.12 , clause( 32, [ s( Y, Z ), ~( s( f1( Z, X ), f1( f1( Z, X ), T ) ) ), ~( s(
% 0.72/1.12 T, T ) ), ~( s( X, X ) ) ] )
% 0.72/1.12 , 1, clause( 66, [ ~( p( X, X ) ), s( Z, f1( X, Y ) ), ~( s( Y, Y ) ) ] )
% 0.72/1.12 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] ),
% 0.72/1.12 substitution( 1, [ :=( X, f1( Y, Z ) ), :=( Y, T ), :=( Z, f1( Y, Z ) )] )
% 0.72/1.12 ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 276, [ s( X, Y ), ~( s( Z, Z ) ), ~( s( T, T ) ), ~( s( Z, Z ) ),
% 0.72/1.12 ~( s( T, T ) ) ] )
% 0.72/1.12 , clause( 269, [ s( X, Y ), ~( s( T, T ) ), ~( s( Z, Z ) ), ~( p( f1( Y, Z
% 0.72/1.12 ), f1( Y, Z ) ) ), ~( s( T, T ) ) ] )
% 0.72/1.12 , 3, clause( 80, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Y, Y ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] ),
% 0.72/1.12 substitution( 1, [ :=( X, Y ), :=( Y, T )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 factor(
% 0.72/1.12 clause( 277, [ s( X, Y ), ~( s( Z, Z ) ), ~( s( Z, Z ) ), ~( s( Z, Z ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 276, [ s( X, Y ), ~( s( Z, Z ) ), ~( s( T, T ) ), ~( s( Z, Z ) )
% 0.72/1.12 , ~( s( T, T ) ) ] )
% 0.72/1.12 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )
% 0.72/1.12 ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 factor(
% 0.72/1.12 clause( 278, [ s( X, Y ), ~( s( Z, Z ) ), ~( s( Z, Z ) ) ] )
% 0.72/1.12 , clause( 277, [ s( X, Y ), ~( s( Z, Z ) ), ~( s( Z, Z ) ), ~( s( Z, Z ) )
% 0.72/1.12 ] )
% 0.72/1.12 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 178, [ ~( s( Z, Z ) ), ~( s( T, T ) ), s( X, Y ) ] )
% 0.72/1.12 , clause( 278, [ s( X, Y ), ~( s( Z, Z ) ), ~( s( Z, Z ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 factor(
% 0.72/1.12 clause( 280, [ ~( s( X, X ) ), s( Y, Z ) ] )
% 0.72/1.12 , clause( 178, [ ~( s( Z, Z ) ), ~( s( T, T ) ), s( X, Y ) ] )
% 0.72/1.12 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, X )] )
% 0.72/1.12 ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 179, [ s( Y, Z ), ~( s( X, X ) ) ] )
% 0.72/1.12 , clause( 280, [ ~( s( X, X ) ), s( Y, Z ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 281, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Z, Z ) ) ] )
% 0.72/1.12 , clause( 80, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Y, Y ) ) ] )
% 0.72/1.12 , 1, clause( 179, [ s( Y, Z ), ~( s( X, X ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.72/1.12 , Z ), :=( Y, Y ), :=( Z, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 282, [ ~( s( Z, Z ) ) ] )
% 0.72/1.12 , clause( 175, [ ~( p( X, X ) ) ] )
% 0.72/1.12 , 0, clause( 281, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( Z, Z ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, f1( X, Y ) )] ), substitution( 1, [ :=( X, X
% 0.72/1.12 ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 182, [ ~( s( X, X ) ) ] )
% 0.72/1.12 , clause( 282, [ ~( s( Z, Z ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 284, [ p( f1( X, Y ), f1( X, Y ) ), ~( q( Y, f1( X, Y ) ) ), s( U,
% 0.72/1.12 Z ), ~( s( Z, f1( Z, T ) ) ) ] )
% 0.72/1.12 , clause( 6, [ p( f1( X, Y ), f1( X, Y ) ), ~( q( Y, f1( X, Y ) ) ), ~( q(
% 0.72/1.12 Z, Z ) ) ] )
% 0.72/1.12 , 2, clause( 124, [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), q( f1( Y, T ), f1(
% 0.72/1.12 Y, Z ) ) ] )
% 0.72/1.12 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, f1( Z, T ) )] ),
% 0.72/1.12 substitution( 1, [ :=( X, U ), :=( Y, Z ), :=( Z, T ), :=( T, T )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 286, [ ~( q( Y, f1( X, Y ) ) ), s( Z, T ), ~( s( T, f1( T, U ) ) )
% 0.72/1.12 ] )
% 0.72/1.12 , clause( 175, [ ~( p( X, X ) ) ] )
% 0.72/1.12 , 0, clause( 284, [ p( f1( X, Y ), f1( X, Y ) ), ~( q( Y, f1( X, Y ) ) ), s(
% 0.72/1.12 U, Z ), ~( s( Z, f1( Z, T ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, f1( X, Y ) )] ), substitution( 1, [ :=( X, X
% 0.72/1.12 ), :=( Y, Y ), :=( Z, T ), :=( T, U ), :=( U, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 185, [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), ~( q( U, f1( T, U ) ) )
% 0.72/1.12 ] )
% 0.72/1.12 , clause( 286, [ ~( q( Y, f1( X, Y ) ) ), s( Z, T ), ~( s( T, f1( T, U ) )
% 0.72/1.12 ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, X ), :=( T, Y ), :=( U
% 0.72/1.12 , Z )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] )
% 0.72/1.12 ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 287, [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), p( f1( T, U ), f1( T, U
% 0.72/1.12 ) ), ~( s( T, f1( T, U ) ) ) ] )
% 0.72/1.12 , clause( 185, [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), ~( q( U, f1( T, U ) )
% 0.72/1.12 ) ] )
% 0.72/1.12 , 2, clause( 1, [ p( f1( X, Y ), f1( X, Y ) ), ~( s( X, f1( X, Y ) ) ), q(
% 0.72/1.12 f1( X, Y ), Z ) ] )
% 0.72/1.12 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, W ),
% 0.72/1.12 :=( U, f1( T, U ) )] ), substitution( 1, [ :=( X, T ), :=( Y, U ), :=( Z
% 0.72/1.12 , f1( W, f1( T, U ) ) )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 290, [ s( Z, T ), ~( s( T, f1( T, U ) ) ), ~( s( X, f1( X, Y ) ) )
% 0.72/1.12 ] )
% 0.72/1.12 , clause( 175, [ ~( p( X, X ) ) ] )
% 0.72/1.12 , 0, clause( 287, [ s( X, Y ), ~( s( Y, f1( Y, Z ) ) ), p( f1( T, U ), f1(
% 0.72/1.12 T, U ) ), ~( s( T, f1( T, U ) ) ) ] )
% 0.72/1.12 , 2, substitution( 0, [ :=( X, f1( X, Y ) )] ), substitution( 1, [ :=( X, Z
% 0.72/1.12 ), :=( Y, T ), :=( Z, U ), :=( T, X ), :=( U, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 187, [ ~( s( Y, f1( Y, Z ) ) ), ~( s( T, f1( T, U ) ) ), s( X, Y )
% 0.72/1.12 ] )
% 0.72/1.12 , clause( 290, [ s( Z, T ), ~( s( T, f1( T, U ) ) ), ~( s( X, f1( X, Y ) )
% 0.72/1.12 ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, Y ), :=( U
% 0.72/1.12 , Z )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 0 )] )
% 0.72/1.12 ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 factor(
% 0.72/1.12 clause( 292, [ ~( s( X, f1( X, Y ) ) ), s( Z, X ) ] )
% 0.72/1.12 , clause( 187, [ ~( s( Y, f1( Y, Z ) ) ), ~( s( T, f1( T, U ) ) ), s( X, Y
% 0.72/1.12 ) ] )
% 0.72/1.12 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, X ),
% 0.72/1.12 :=( U, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 188, [ s( Z, X ), ~( s( X, f1( X, Y ) ) ) ] )
% 0.72/1.12 , clause( 292, [ ~( s( X, f1( X, Y ) ) ), s( Z, X ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 293, [ ~( s( X, f1( X, Y ) ) ) ] )
% 0.72/1.12 , clause( 182, [ ~( s( X, X ) ) ] )
% 0.72/1.12 , 0, clause( 188, [ s( Z, X ), ~( s( X, f1( X, Y ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.72/1.12 , Y ), :=( Z, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 191, [ ~( s( X, f1( X, Y ) ) ) ] )
% 0.72/1.12 , clause( 293, [ ~( s( X, f1( X, Y ) ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 294, [ s( f1( X, Y ), Z ), ~( q( T, T ) ) ] )
% 0.72/1.12 , clause( 175, [ ~( p( X, X ) ) ] )
% 0.72/1.12 , 0, clause( 114, [ p( f1( X, Y ), f1( X, Y ) ), s( f1( X, Y ), Z ), ~( q(
% 0.72/1.12 T, T ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, f1( X, Y ) )] ), substitution( 1, [ :=( X, X
% 0.72/1.12 ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 192, [ s( f1( X, Y ), Z ), ~( q( T, T ) ) ] )
% 0.72/1.12 , clause( 294, [ s( f1( X, Y ), Z ), ~( q( T, T ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 295, [ s( f1( X, Y ), Z ), p( f1( T, U ), f1( T, U ) ), s( f1( T, U
% 0.72/1.12 ), W ) ] )
% 0.72/1.12 , clause( 192, [ s( f1( X, Y ), Z ), ~( q( T, T ) ) ] )
% 0.72/1.12 , 1, clause( 4, [ p( f1( X, Y ), f1( X, Y ) ), s( f1( X, Y ), Z ), q( f1( X
% 0.72/1.12 , Y ), T ) ] )
% 0.72/1.12 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, f1( T, U
% 0.72/1.12 ) )] ), substitution( 1, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, f1(
% 0.72/1.12 T, U ) )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 298, [ s( f1( Z, T ), U ), s( f1( X, Y ), W ) ] )
% 0.72/1.12 , clause( 175, [ ~( p( X, X ) ) ] )
% 0.72/1.12 , 0, clause( 295, [ s( f1( X, Y ), Z ), p( f1( T, U ), f1( T, U ) ), s( f1(
% 0.72/1.12 T, U ), W ) ] )
% 0.72/1.12 , 1, substitution( 0, [ :=( X, f1( X, Y ) )] ), substitution( 1, [ :=( X, Z
% 0.72/1.12 ), :=( Y, T ), :=( Z, U ), :=( T, X ), :=( U, Y ), :=( W, W )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 193, [ s( f1( T, U ), W ), s( f1( X, Y ), Z ) ] )
% 0.72/1.12 , clause( 298, [ s( f1( Z, T ), U ), s( f1( X, Y ), W ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, T ), :=( T, U ), :=( U
% 0.72/1.12 , W ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 factor(
% 0.72/1.12 clause( 300, [ s( f1( X, Y ), Z ) ] )
% 0.72/1.12 , clause( 193, [ s( f1( T, U ), W ), s( f1( X, Y ), Z ) ] )
% 0.72/1.12 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X ),
% 0.72/1.12 :=( U, Y ), :=( W, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 194, [ s( f1( X, Y ), Z ) ] )
% 0.72/1.12 , clause( 300, [ s( f1( X, Y ), Z ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 301, [] )
% 0.72/1.12 , clause( 191, [ ~( s( X, f1( X, Y ) ) ) ] )
% 0.72/1.12 , 0, clause( 194, [ s( f1( X, Y ), Z ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, f1( X, Y ) ), :=( Y, Z )] ), substitution( 1
% 0.72/1.12 , [ :=( X, X ), :=( Y, Y ), :=( Z, f1( f1( X, Y ), Z ) )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 195, [] )
% 0.72/1.12 , clause( 301, [] )
% 0.72/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 end.
% 0.72/1.12
% 0.72/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.12
% 0.72/1.12 Memory use:
% 0.72/1.12
% 0.72/1.12 space for terms: 4480
% 0.72/1.12 space for clauses: 7542
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 clauses generated: 852
% 0.72/1.12 clauses kept: 196
% 0.72/1.12 clauses selected: 55
% 0.72/1.12 clauses deleted: 49
% 0.72/1.12 clauses inuse deleted: 0
% 0.72/1.12
% 0.72/1.12 subsentry: 1992
% 0.72/1.12 literals s-matched: 1588
% 0.72/1.12 literals matched: 982
% 0.72/1.12 full subsumption: 283
% 0.72/1.12
% 0.72/1.12 checksum: -134323028
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Bliksem ended
%------------------------------------------------------------------------------