%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWX222-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n002.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 : Tue May 5 06:56:50 PM UTC 2026
% Result : Unsatisfiable 0.78s 1.31s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWX222-1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : bliksem %s
% 0.17/0.35 % Computer : n002.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % DateTime : Tue May 5 12:34:46 EDT 2026
% 0.17/0.35 % CPUTime :
% 0.78/1.31 *** allocated 10000 integers for termspace/termends
% 0.78/1.31 *** allocated 10000 integers for clauses
% 0.78/1.31 *** allocated 10000 integers for justifications
% 0.78/1.31 Bliksem 1.12
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 Automatic Strategy Selection
% 0.78/1.31
% 0.78/1.31 Clauses:
% 0.78/1.31 [
% 0.78/1.31 [ =( aux( X, Y, Z, nothing ), bfalse ) ],
% 0.78/1.31 [ =( aux( X, Y, Z, just( T ) ), eq( T, Y ) ) ],
% 0.78/1.31 [ =( notb( btrue ), bfalse ) ],
% 0.78/1.31 [ =( notb( bfalse ), btrue ) ],
% 0.78/1.31 [ =( index( nil, X ), nothing ) ],
% 0.78/1.31 [ =( index( cons( X, Y ), zero ), just( X ) ) ],
% 0.78/1.31 [ =( index( cons( X, Y ), suc( Z ) ), index( Y, Z ) ) ],
% 0.78/1.31 [ =( andb( btrue, X ), X ) ],
% 0.78/1.31 [ =( andb( bfalse, X ), bfalse ) ],
% 0.78/1.31 [ =( nf( app( lam( X ), Y, Z ) ), bfalse ) ],
% 0.78/1.31 [ =( nf( app( app( X, Y, Z ), T, U ) ), andb( nf( app( X, Y, Z ) ), nf(
% 0.78/1.31 T ) ) ) ],
% 0.78/1.31 [ =( nf( app( var( X ), Y, Z ) ), andb( nf( var( X ) ), nf( Y ) ) ) ]
% 0.78/1.31 ,
% 0.78/1.31 [ =( nf( lam( X ) ), nf( X ) ) ],
% 0.78/1.31 [ =( nf( var( X ) ), btrue ) ],
% 0.78/1.31 [ =( tc( X, app( Y, Z, T ), U ), andb( tc( X, Y, arr( T, U ) ), tc( X, Z
% 0.78/1.31 , T ) ) ) ],
% 0.78/1.31 [ =( tc( X, lam( Y ), arr( Z, T ) ), tc( cons( Z, X ), Y, T ) ) ],
% 0.78/1.31 [ =( tc( X, lam( Y ), a ), bfalse ) ],
% 0.78/1.31 [ =( tc( X, lam( Y ), b ), bfalse ) ],
% 0.78/1.31 [ =( tc( X, lam( Y ), c ), bfalse ) ],
% 0.78/1.31 [ =( tc( X, var( Y ), Z ), aux( X, Z, Y, index( X, Y ) ) ) ],
% 0.78/1.31 [ =( 'sat_synth_nf_k'( X ), notb( andb( nf( X ), tc( nil, X, arr( a, arr(
% 0.78/1.31 b, b ) ) ) ) ) ) ],
% 0.78/1.31 [ =( eq( a, b ), bfalse ) ],
% 0.78/1.31 [ =( eq( a, c ), bfalse ) ],
% 0.78/1.31 [ =( eq( b, a ), bfalse ) ],
% 0.78/1.31 [ =( eq( b, c ), bfalse ) ],
% 0.78/1.31 [ =( eq( c, a ), bfalse ) ],
% 0.78/1.31 [ =( eq( c, b ), bfalse ) ],
% 0.78/1.31 [ =( eq4( bfalse, btrue ), bfalse ) ],
% 0.78/1.31 [ =( eq4( btrue, bfalse ), bfalse ) ],
% 0.78/1.31 [ =( eq2( suc( X ), suc( Y ) ), eq2( X, Y ) ) ],
% 0.78/1.31 [ =( eq2( zero, suc( X ) ), bfalse ) ],
% 0.78/1.31 [ =( eq2( suc( X ), zero ), bfalse ) ],
% 0.78/1.31 [ ~( =( eq( X, Y ), bfalse ) ), =( eq( arr( X, Z ), arr( Y, T ) ),
% 0.78/1.31 bfalse ) ],
% 0.78/1.31 [ ~( =( eq( X, Y ), btrue ) ), =( eq( arr( X, Z ), arr( Y, T ) ), eq( Z
% 0.78/1.31 , T ) ) ],
% 0.78/1.31 [ =( eq( arr( X, Y ), a ), bfalse ) ],
% 0.78/1.31 [ =( eq( arr( X, Y ), b ), bfalse ) ],
% 0.78/1.31 [ =( eq( arr( X, Y ), c ), bfalse ) ],
% 0.78/1.31 [ =( eq( a, arr( X, Y ) ), bfalse ) ],
% 0.78/1.31 [ =( eq( b, arr( X, Y ) ), bfalse ) ],
% 0.78/1.31 [ =( eq( c, arr( X, Y ) ), bfalse ) ],
% 0.78/1.31 [ ~( =( eq3( X, Y ), bfalse ) ), =( eq3( app( X, Z, T ), app( Y, U, W )
% 0.78/1.31 ), bfalse ) ],
% 0.78/1.31 [ ~( =( eq3( X, Y ), bfalse ) ), ~( =( eq3( Z, T ), btrue ) ), =( eq3(
% 0.78/1.31 app( Z, X, U ), app( T, Y, W ) ), bfalse ) ],
% 0.78/1.31 [ ~( =( eq3( X, Y ), btrue ) ), ~( =( eq3( Z, T ), btrue ) ), =( eq3(
% 0.78/1.31 app( X, Z, U ), app( Y, T, W ) ), eq( U, W ) ) ],
% 0.78/1.31 [ =( eq3( lam( X ), lam( Y ) ), eq3( X, Y ) ) ],
% 0.78/1.31 [ =( eq3( var( X ), var( Y ) ), eq2( X, Y ) ) ],
% 0.78/1.31 [ =( eq3( app( X, Y, Z ), lam( T ) ), bfalse ) ],
% 0.78/1.31 [ =( eq3( app( X, Y, Z ), var( T ) ), bfalse ) ],
% 0.78/1.31 [ =( eq3( lam( X ), app( Y, Z, T ) ), bfalse ) ],
% 0.78/1.31 [ =( eq3( lam( X ), var( Y ) ), bfalse ) ],
% 0.78/1.31 [ =( eq3( var( X ), app( Y, Z, T ) ), bfalse ) ],
% 0.78/1.31 [ =( eq3( var( X ), lam( Y ) ), bfalse ) ],
% 0.78/1.31 [ =( eq( X, X ), btrue ) ],
% 0.78/1.31 [ =( eq2( X, X ), btrue ) ],
% 0.78/1.31 [ =( eq3( X, X ), btrue ) ],
% 0.78/1.31 [ =( eq4( X, X ), btrue ) ],
% 0.78/1.31 [ ~( =( eq4( 'sat_synth_nf_k'( X ), bfalse ), btrue ) ) ]
% 0.78/1.31 ] .
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 percentage equality = 1.000000, percentage horn = 1.000000
% 0.78/1.31 This is a pure equality problem
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 Options Used:
% 0.78/1.31
% 0.78/1.31 useres = 1
% 0.78/1.31 useparamod = 1
% 0.78/1.31 useeqrefl = 1
% 0.78/1.31 useeqfact = 1
% 0.78/1.31 usefactor = 1
% 0.78/1.31 usesimpsplitting = 0
% 0.78/1.31 usesimpdemod = 5
% 0.78/1.31 usesimpres = 3
% 0.78/1.31
% 0.78/1.31 resimpinuse = 1000
% 0.78/1.31 resimpclauses = 20000
% 0.78/1.31 substype = eqrewr
% 0.78/1.31 backwardsubs = 1
% 0.78/1.31 selectoldest = 5
% 0.78/1.31
% 0.78/1.31 litorderings [0] = split
% 0.78/1.31 litorderings [1] = extend the termordering, first sorting on arguments
% 0.78/1.31
% 0.78/1.31 termordering = kbo
% 0.78/1.31
% 0.78/1.31 litapriori = 0
% 0.78/1.31 termapriori = 1
% 0.78/1.31 litaposteriori = 0
% 0.78/1.31 termaposteriori = 0
% 0.78/1.31 demodaposteriori = 0
% 0.78/1.31 ordereqreflfact = 0
% 0.78/1.31
% 0.78/1.31 litselect = negord
% 0.78/1.31
% 0.78/1.31 maxweight = 15
% 0.78/1.31 maxdepth = 30000
% 0.78/1.31 maxlength = 115
% 0.78/1.31 maxnrvars = 195
% 0.78/1.31 excuselevel = 1
% 0.78/1.31 increasemaxweight = 1
% 0.78/1.31
% 0.78/1.31 maxselected = 10000000
% 0.78/1.31 maxnrclauses = 10000000
% 0.78/1.31
% 0.78/1.31 showgenerated = 0
% 0.78/1.31 showkept = 0
% 0.78/1.31 showselected = 0
% 0.78/1.31 showdeleted = 0
% 0.78/1.31 showresimp = 1
% 0.78/1.31 showstatus = 2000
% 0.78/1.31
% 0.78/1.31 prologoutput = 1
% 0.78/1.31 nrgoals = 5000000
% 0.78/1.31 totalproof = 1
% 0.78/1.31
% 0.78/1.31 Symbols occurring in the translation:
% 0.78/1.31
% 0.78/1.31 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.78/1.31 . [1, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.78/1.31 ! [4, 1] (w:0, o:32, a:1, s:1, b:0),
% 0.78/1.31 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.31 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.31 nothing [42, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.78/1.31 aux [43, 4] (w:1, o:79, a:1, s:1, b:0),
% 0.78/1.31 bfalse [44, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.78/1.31 just [46, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.78/1.31 eq [47, 2] (w:1, o:69, a:1, s:1, b:0),
% 0.78/1.31 btrue [48, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.78/1.31 notb [49, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.78/1.31 nil [50, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.78/1.31 index [52, 2] (w:1, o:70, a:1, s:1, b:0),
% 0.78/1.31 cons [54, 2] (w:1, o:71, a:1, s:1, b:0),
% 0.78/1.31 zero [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.78/1.31 suc [57, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.78/1.31 andb [59, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.78/1.31 lam [60, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.78/1.31 app [62, 3] (w:1, o:77, a:1, s:1, b:0),
% 0.78/1.31 nf [63, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.78/1.31 var [65, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.78/1.31 tc [69, 3] (w:1, o:78, a:1, s:1, b:0),
% 0.78/1.31 arr [70, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.78/1.31 a [73, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.78/1.31 b [74, 0] (w:1, o:30, a:1, s:1, b:0),
% 0.78/1.31 c [75, 0] (w:1, o:31, a:1, s:1, b:0),
% 0.78/1.31 'sat_synth_nf_k' [76, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.78/1.31 eq4 [77, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.78/1.31 eq2 [78, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.78/1.31 eq3 [79, 2] (w:1, o:74, a:1, s:1, b:0).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 Starting Search:
% 0.78/1.31
% 0.78/1.31 Resimplifying inuse:
% 0.78/1.31 Done
% 0.78/1.31
% 0.78/1.31 Failed to find proof!
% 0.78/1.31 maxweight = 15
% 0.78/1.31 maxnrclauses = 10000000
% 0.78/1.31 Generated: 8039
% 0.78/1.31 Kept: 208
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 The strategy used was not complete!
% 0.78/1.31
% 0.78/1.31 Increased maxweight to 16
% 0.78/1.31
% 0.78/1.31 Starting Search:
% 0.78/1.31
% 0.78/1.31 Resimplifying inuse:
% 0.78/1.31 Done
% 0.78/1.31
% 0.78/1.31 Failed to find proof!
% 0.78/1.31 maxweight = 16
% 0.78/1.31 maxnrclauses = 10000000
% 0.78/1.31 Generated: 8318
% 0.78/1.31 Kept: 230
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 The strategy used was not complete!
% 0.78/1.31
% 0.78/1.31 Increased maxweight to 17
% 0.78/1.31
% 0.78/1.31 Starting Search:
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 Bliksems!, er is een bewijs:
% 0.78/1.31 % SZS status Unsatisfiable
% 0.78/1.31 % SZS output start Refutation
% 0.78/1.31
% 0.78/1.31 clause( 1, [ =( aux( X, Y, Z, just( T ) ), eq( T, Y ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 2, [ =( notb( btrue ), bfalse ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 5, [ =( index( cons( X, Y ), zero ), just( X ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 7, [ =( andb( btrue, X ), X ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 12, [ =( nf( lam( X ) ), nf( X ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 13, [ =( nf( var( X ) ), btrue ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 15, [ =( tc( X, lam( Y ), arr( Z, T ) ), tc( cons( Z, X ), Y, T ) )
% 0.78/1.31 ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 19, [ =( aux( X, Z, Y, index( X, Y ) ), tc( X, var( Y ), Z ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 20, [ =( notb( andb( nf( X ), tc( nil, X, arr( a, arr( b, b ) ) ) )
% 0.78/1.31 ), 'sat_synth_nf_k'( X ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 51, [ =( eq( X, X ), btrue ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 54, [ =( eq4( X, X ), btrue ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 55, [ ~( =( eq4( 'sat_synth_nf_k'( X ), bfalse ), btrue ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 72, [ =( tc( cons( X, Y ), var( zero ), Z ), eq( X, Z ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 81, [ =( notb( andb( nf( X ), tc( cons( a, nil ), X, arr( b, b ) )
% 0.78/1.31 ) ), 'sat_synth_nf_k'( lam( X ) ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 245, [ =( notb( andb( nf( X ), tc( cons( b, cons( a, nil ) ), X, b
% 0.78/1.31 ) ) ), 'sat_synth_nf_k'( lam( lam( X ) ) ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 276, [ =( 'sat_synth_nf_k'( lam( lam( var( zero ) ) ) ), bfalse ) ]
% 0.78/1.31 )
% 0.78/1.31 .
% 0.78/1.31 clause( 280, [] )
% 0.78/1.31 .
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 % SZS output end Refutation
% 0.78/1.31 found a proof!
% 0.78/1.31
% 0.78/1.31 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.31
% 0.78/1.31 initialclauses(
% 0.78/1.31 [ clause( 282, [ =( aux( X, Y, Z, nothing ), bfalse ) ] )
% 0.78/1.31 , clause( 283, [ =( aux( X, Y, Z, just( T ) ), eq( T, Y ) ) ] )
% 0.78/1.31 , clause( 284, [ =( notb( btrue ), bfalse ) ] )
% 0.78/1.31 , clause( 285, [ =( notb( bfalse ), btrue ) ] )
% 0.78/1.31 , clause( 286, [ =( index( nil, X ), nothing ) ] )
% 0.78/1.31 , clause( 287, [ =( index( cons( X, Y ), zero ), just( X ) ) ] )
% 0.78/1.31 , clause( 288, [ =( index( cons( X, Y ), suc( Z ) ), index( Y, Z ) ) ] )
% 0.78/1.31 , clause( 289, [ =( andb( btrue, X ), X ) ] )
% 0.78/1.31 , clause( 290, [ =( andb( bfalse, X ), bfalse ) ] )
% 0.78/1.31 , clause( 291, [ =( nf( app( lam( X ), Y, Z ) ), bfalse ) ] )
% 0.78/1.31 , clause( 292, [ =( nf( app( app( X, Y, Z ), T, U ) ), andb( nf( app( X, Y
% 0.78/1.31 , Z ) ), nf( T ) ) ) ] )
% 0.78/1.31 , clause( 293, [ =( nf( app( var( X ), Y, Z ) ), andb( nf( var( X ) ), nf(
% 0.78/1.31 Y ) ) ) ] )
% 0.78/1.31 , clause( 294, [ =( nf( lam( X ) ), nf( X ) ) ] )
% 0.78/1.31 , clause( 295, [ =( nf( var( X ) ), btrue ) ] )
% 0.78/1.31 , clause( 296, [ =( tc( X, app( Y, Z, T ), U ), andb( tc( X, Y, arr( T, U )
% 0.78/1.31 ), tc( X, Z, T ) ) ) ] )
% 0.78/1.31 , clause( 297, [ =( tc( X, lam( Y ), arr( Z, T ) ), tc( cons( Z, X ), Y, T
% 0.78/1.31 ) ) ] )
% 0.78/1.31 , clause( 298, [ =( tc( X, lam( Y ), a ), bfalse ) ] )
% 0.78/1.31 , clause( 299, [ =( tc( X, lam( Y ), b ), bfalse ) ] )
% 0.78/1.31 , clause( 300, [ =( tc( X, lam( Y ), c ), bfalse ) ] )
% 0.78/1.31 , clause( 301, [ =( tc( X, var( Y ), Z ), aux( X, Z, Y, index( X, Y ) ) ) ]
% 0.78/1.31 )
% 0.78/1.31 , clause( 302, [ =( 'sat_synth_nf_k'( X ), notb( andb( nf( X ), tc( nil, X
% 0.78/1.31 , arr( a, arr( b, b ) ) ) ) ) ) ] )
% 0.78/1.31 , clause( 303, [ =( eq( a, b ), bfalse ) ] )
% 0.78/1.31 , clause( 304, [ =( eq( a, c ), bfalse ) ] )
% 0.78/1.31 , clause( 305, [ =( eq( b, a ), bfalse ) ] )
% 0.78/1.31 , clause( 306, [ =( eq( b, c ), bfalse ) ] )
% 0.78/1.31 , clause( 307, [ =( eq( c, a ), bfalse ) ] )
% 0.78/1.31 , clause( 308, [ =( eq( c, b ), bfalse ) ] )
% 0.78/1.31 , clause( 309, [ =( eq4( bfalse, btrue ), bfalse ) ] )
% 0.78/1.31 , clause( 310, [ =( eq4( btrue, bfalse ), bfalse ) ] )
% 0.78/1.31 , clause( 311, [ =( eq2( suc( X ), suc( Y ) ), eq2( X, Y ) ) ] )
% 0.78/1.31 , clause( 312, [ =( eq2( zero, suc( X ) ), bfalse ) ] )
% 0.78/1.31 , clause( 313, [ =( eq2( suc( X ), zero ), bfalse ) ] )
% 0.78/1.31 , clause( 314, [ ~( =( eq( X, Y ), bfalse ) ), =( eq( arr( X, Z ), arr( Y,
% 0.78/1.31 T ) ), bfalse ) ] )
% 0.78/1.31 , clause( 315, [ ~( =( eq( X, Y ), btrue ) ), =( eq( arr( X, Z ), arr( Y, T
% 0.78/1.31 ) ), eq( Z, T ) ) ] )
% 0.78/1.31 , clause( 316, [ =( eq( arr( X, Y ), a ), bfalse ) ] )
% 0.78/1.31 , clause( 317, [ =( eq( arr( X, Y ), b ), bfalse ) ] )
% 0.78/1.31 , clause( 318, [ =( eq( arr( X, Y ), c ), bfalse ) ] )
% 0.78/1.31 , clause( 319, [ =( eq( a, arr( X, Y ) ), bfalse ) ] )
% 0.78/1.31 , clause( 320, [ =( eq( b, arr( X, Y ) ), bfalse ) ] )
% 0.78/1.31 , clause( 321, [ =( eq( c, arr( X, Y ) ), bfalse ) ] )
% 0.78/1.31 , clause( 322, [ ~( =( eq3( X, Y ), bfalse ) ), =( eq3( app( X, Z, T ), app(
% 0.78/1.31 Y, U, W ) ), bfalse ) ] )
% 0.78/1.31 , clause( 323, [ ~( =( eq3( X, Y ), bfalse ) ), ~( =( eq3( Z, T ), btrue )
% 0.78/1.31 ), =( eq3( app( Z, X, U ), app( T, Y, W ) ), bfalse ) ] )
% 0.78/1.31 , clause( 324, [ ~( =( eq3( X, Y ), btrue ) ), ~( =( eq3( Z, T ), btrue ) )
% 0.78/1.31 , =( eq3( app( X, Z, U ), app( Y, T, W ) ), eq( U, W ) ) ] )
% 0.78/1.31 , clause( 325, [ =( eq3( lam( X ), lam( Y ) ), eq3( X, Y ) ) ] )
% 0.78/1.31 , clause( 326, [ =( eq3( var( X ), var( Y ) ), eq2( X, Y ) ) ] )
% 0.78/1.31 , clause( 327, [ =( eq3( app( X, Y, Z ), lam( T ) ), bfalse ) ] )
% 0.78/1.31 , clause( 328, [ =( eq3( app( X, Y, Z ), var( T ) ), bfalse ) ] )
% 0.78/1.31 , clause( 329, [ =( eq3( lam( X ), app( Y, Z, T ) ), bfalse ) ] )
% 0.78/1.31 , clause( 330, [ =( eq3( lam( X ), var( Y ) ), bfalse ) ] )
% 0.78/1.31 , clause( 331, [ =( eq3( var( X ), app( Y, Z, T ) ), bfalse ) ] )
% 0.78/1.31 , clause( 332, [ =( eq3( var( X ), lam( Y ) ), bfalse ) ] )
% 0.78/1.31 , clause( 333, [ =( eq( X, X ), btrue ) ] )
% 0.78/1.31 , clause( 334, [ =( eq2( X, X ), btrue ) ] )
% 0.78/1.31 , clause( 335, [ =( eq3( X, X ), btrue ) ] )
% 0.78/1.31 , clause( 336, [ =( eq4( X, X ), btrue ) ] )
% 0.78/1.31 , clause( 337, [ ~( =( eq4( 'sat_synth_nf_k'( X ), bfalse ), btrue ) ) ] )
% 0.78/1.31 ] ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 1, [ =( aux( X, Y, Z, just( T ) ), eq( T, Y ) ) ] )
% 0.78/1.31 , clause( 283, [ =( aux( X, Y, Z, just( T ) ), eq( T, Y ) ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.78/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 2, [ =( notb( btrue ), bfalse ) ] )
% 0.78/1.31 , clause( 284, [ =( notb( btrue ), bfalse ) ] )
% 0.78/1.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 5, [ =( index( cons( X, Y ), zero ), just( X ) ) ] )
% 0.78/1.31 , clause( 287, [ =( index( cons( X, Y ), zero ), just( X ) ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.31 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 7, [ =( andb( btrue, X ), X ) ] )
% 0.78/1.31 , clause( 289, [ =( andb( btrue, X ), X ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 12, [ =( nf( lam( X ) ), nf( X ) ) ] )
% 0.78/1.31 , clause( 294, [ =( nf( lam( X ) ), nf( X ) ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 13, [ =( nf( var( X ) ), btrue ) ] )
% 0.78/1.31 , clause( 295, [ =( nf( var( X ) ), btrue ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 15, [ =( tc( X, lam( Y ), arr( Z, T ) ), tc( cons( Z, X ), Y, T ) )
% 0.78/1.31 ] )
% 0.78/1.31 , clause( 297, [ =( tc( X, lam( Y ), arr( Z, T ) ), tc( cons( Z, X ), Y, T
% 0.78/1.31 ) ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.78/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 eqswap(
% 0.78/1.31 clause( 419, [ =( aux( X, Z, Y, index( X, Y ) ), tc( X, var( Y ), Z ) ) ]
% 0.78/1.31 )
% 0.78/1.31 , clause( 301, [ =( tc( X, var( Y ), Z ), aux( X, Z, Y, index( X, Y ) ) ) ]
% 0.78/1.31 )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 19, [ =( aux( X, Z, Y, index( X, Y ) ), tc( X, var( Y ), Z ) ) ] )
% 0.78/1.31 , clause( 419, [ =( aux( X, Z, Y, index( X, Y ) ), tc( X, var( Y ), Z ) ) ]
% 0.78/1.31 )
% 0.78/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 eqswap(
% 0.78/1.31 clause( 440, [ =( notb( andb( nf( X ), tc( nil, X, arr( a, arr( b, b ) ) )
% 0.78/1.31 ) ), 'sat_synth_nf_k'( X ) ) ] )
% 0.78/1.31 , clause( 302, [ =( 'sat_synth_nf_k'( X ), notb( andb( nf( X ), tc( nil, X
% 0.78/1.31 , arr( a, arr( b, b ) ) ) ) ) ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 20, [ =( notb( andb( nf( X ), tc( nil, X, arr( a, arr( b, b ) ) ) )
% 0.78/1.31 ), 'sat_synth_nf_k'( X ) ) ] )
% 0.78/1.31 , clause( 440, [ =( notb( andb( nf( X ), tc( nil, X, arr( a, arr( b, b ) )
% 0.78/1.31 ) ) ), 'sat_synth_nf_k'( X ) ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 51, [ =( eq( X, X ), btrue ) ] )
% 0.78/1.31 , clause( 333, [ =( eq( X, X ), btrue ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 54, [ =( eq4( X, X ), btrue ) ] )
% 0.78/1.31 , clause( 336, [ =( eq4( X, X ), btrue ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 55, [ ~( =( eq4( 'sat_synth_nf_k'( X ), bfalse ), btrue ) ) ] )
% 0.78/1.31 , clause( 337, [ ~( =( eq4( 'sat_synth_nf_k'( X ), bfalse ), btrue ) ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 eqswap(
% 0.78/1.31 clause( 671, [ =( tc( X, var( Z ), Y ), aux( X, Y, Z, index( X, Z ) ) ) ]
% 0.78/1.31 )
% 0.78/1.31 , clause( 19, [ =( aux( X, Z, Y, index( X, Y ) ), tc( X, var( Y ), Z ) ) ]
% 0.78/1.31 )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 paramod(
% 0.78/1.31 clause( 673, [ =( tc( cons( X, Y ), var( zero ), Z ), aux( cons( X, Y ), Z
% 0.78/1.31 , zero, just( X ) ) ) ] )
% 0.78/1.31 , clause( 5, [ =( index( cons( X, Y ), zero ), just( X ) ) ] )
% 0.78/1.31 , 0, clause( 671, [ =( tc( X, var( Z ), Y ), aux( X, Y, Z, index( X, Z ) )
% 0.78/1.31 ) ] )
% 0.78/1.31 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.78/1.31 :=( X, cons( X, Y ) ), :=( Y, Z ), :=( Z, zero )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 paramod(
% 0.78/1.31 clause( 674, [ =( tc( cons( X, Y ), var( zero ), Z ), eq( X, Z ) ) ] )
% 0.78/1.31 , clause( 1, [ =( aux( X, Y, Z, just( T ) ), eq( T, Y ) ) ] )
% 0.78/1.31 , 0, clause( 673, [ =( tc( cons( X, Y ), var( zero ), Z ), aux( cons( X, Y
% 0.78/1.31 ), Z, zero, just( X ) ) ) ] )
% 0.78/1.31 , 0, 8, substitution( 0, [ :=( X, cons( X, Y ) ), :=( Y, Z ), :=( Z, zero )
% 0.78/1.31 , :=( T, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.78/1.31 ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 72, [ =( tc( cons( X, Y ), var( zero ), Z ), eq( X, Z ) ) ] )
% 0.78/1.31 , clause( 674, [ =( tc( cons( X, Y ), var( zero ), Z ), eq( X, Z ) ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 eqswap(
% 0.78/1.31 clause( 677, [ =( 'sat_synth_nf_k'( X ), notb( andb( nf( X ), tc( nil, X,
% 0.78/1.31 arr( a, arr( b, b ) ) ) ) ) ) ] )
% 0.78/1.31 , clause( 20, [ =( notb( andb( nf( X ), tc( nil, X, arr( a, arr( b, b ) ) )
% 0.78/1.31 ) ), 'sat_synth_nf_k'( X ) ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 paramod(
% 0.78/1.31 clause( 679, [ =( 'sat_synth_nf_k'( lam( X ) ), notb( andb( nf( lam( X ) )
% 0.78/1.31 , tc( cons( a, nil ), X, arr( b, b ) ) ) ) ) ] )
% 0.78/1.31 , clause( 15, [ =( tc( X, lam( Y ), arr( Z, T ) ), tc( cons( Z, X ), Y, T )
% 0.78/1.31 ) ] )
% 0.78/1.31 , 0, clause( 677, [ =( 'sat_synth_nf_k'( X ), notb( andb( nf( X ), tc( nil
% 0.78/1.31 , X, arr( a, arr( b, b ) ) ) ) ) ) ] )
% 0.78/1.31 , 0, 9, substitution( 0, [ :=( X, nil ), :=( Y, X ), :=( Z, a ), :=( T, arr(
% 0.78/1.31 b, b ) )] ), substitution( 1, [ :=( X, lam( X ) )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 paramod(
% 0.78/1.31 clause( 680, [ =( 'sat_synth_nf_k'( lam( X ) ), notb( andb( nf( X ), tc(
% 0.78/1.31 cons( a, nil ), X, arr( b, b ) ) ) ) ) ] )
% 0.78/1.31 , clause( 12, [ =( nf( lam( X ) ), nf( X ) ) ] )
% 0.78/1.31 , 0, clause( 679, [ =( 'sat_synth_nf_k'( lam( X ) ), notb( andb( nf( lam( X
% 0.78/1.31 ) ), tc( cons( a, nil ), X, arr( b, b ) ) ) ) ) ] )
% 0.78/1.31 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.78/1.31 ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 eqswap(
% 0.78/1.31 clause( 681, [ =( notb( andb( nf( X ), tc( cons( a, nil ), X, arr( b, b ) )
% 0.78/1.31 ) ), 'sat_synth_nf_k'( lam( X ) ) ) ] )
% 0.78/1.31 , clause( 680, [ =( 'sat_synth_nf_k'( lam( X ) ), notb( andb( nf( X ), tc(
% 0.78/1.31 cons( a, nil ), X, arr( b, b ) ) ) ) ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 81, [ =( notb( andb( nf( X ), tc( cons( a, nil ), X, arr( b, b ) )
% 0.78/1.31 ) ), 'sat_synth_nf_k'( lam( X ) ) ) ] )
% 0.78/1.31 , clause( 681, [ =( notb( andb( nf( X ), tc( cons( a, nil ), X, arr( b, b )
% 0.78/1.31 ) ) ), 'sat_synth_nf_k'( lam( X ) ) ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 eqswap(
% 0.78/1.31 clause( 683, [ =( 'sat_synth_nf_k'( lam( X ) ), notb( andb( nf( X ), tc(
% 0.78/1.31 cons( a, nil ), X, arr( b, b ) ) ) ) ) ] )
% 0.78/1.31 , clause( 81, [ =( notb( andb( nf( X ), tc( cons( a, nil ), X, arr( b, b )
% 0.78/1.31 ) ) ), 'sat_synth_nf_k'( lam( X ) ) ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 paramod(
% 0.78/1.31 clause( 685, [ =( 'sat_synth_nf_k'( lam( lam( X ) ) ), notb( andb( nf( lam(
% 0.78/1.31 X ) ), tc( cons( b, cons( a, nil ) ), X, b ) ) ) ) ] )
% 0.78/1.31 , clause( 15, [ =( tc( X, lam( Y ), arr( Z, T ) ), tc( cons( Z, X ), Y, T )
% 0.78/1.31 ) ] )
% 0.78/1.31 , 0, clause( 683, [ =( 'sat_synth_nf_k'( lam( X ) ), notb( andb( nf( X ),
% 0.78/1.31 tc( cons( a, nil ), X, arr( b, b ) ) ) ) ) ] )
% 0.78/1.31 , 0, 10, substitution( 0, [ :=( X, cons( a, nil ) ), :=( Y, X ), :=( Z, b )
% 0.78/1.31 , :=( T, b )] ), substitution( 1, [ :=( X, lam( X ) )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 paramod(
% 0.78/1.31 clause( 686, [ =( 'sat_synth_nf_k'( lam( lam( X ) ) ), notb( andb( nf( X )
% 0.78/1.31 , tc( cons( b, cons( a, nil ) ), X, b ) ) ) ) ] )
% 0.78/1.31 , clause( 12, [ =( nf( lam( X ) ), nf( X ) ) ] )
% 0.78/1.31 , 0, clause( 685, [ =( 'sat_synth_nf_k'( lam( lam( X ) ) ), notb( andb( nf(
% 0.78/1.31 lam( X ) ), tc( cons( b, cons( a, nil ) ), X, b ) ) ) ) ] )
% 0.78/1.31 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.78/1.31 ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 eqswap(
% 0.78/1.31 clause( 687, [ =( notb( andb( nf( X ), tc( cons( b, cons( a, nil ) ), X, b
% 0.78/1.31 ) ) ), 'sat_synth_nf_k'( lam( lam( X ) ) ) ) ] )
% 0.78/1.31 , clause( 686, [ =( 'sat_synth_nf_k'( lam( lam( X ) ) ), notb( andb( nf( X
% 0.78/1.31 ), tc( cons( b, cons( a, nil ) ), X, b ) ) ) ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 245, [ =( notb( andb( nf( X ), tc( cons( b, cons( a, nil ) ), X, b
% 0.78/1.31 ) ) ), 'sat_synth_nf_k'( lam( lam( X ) ) ) ) ] )
% 0.78/1.31 , clause( 687, [ =( notb( andb( nf( X ), tc( cons( b, cons( a, nil ) ), X,
% 0.78/1.31 b ) ) ), 'sat_synth_nf_k'( lam( lam( X ) ) ) ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 eqswap(
% 0.78/1.31 clause( 689, [ =( 'sat_synth_nf_k'( lam( lam( X ) ) ), notb( andb( nf( X )
% 0.78/1.31 , tc( cons( b, cons( a, nil ) ), X, b ) ) ) ) ] )
% 0.78/1.31 , clause( 245, [ =( notb( andb( nf( X ), tc( cons( b, cons( a, nil ) ), X,
% 0.78/1.31 b ) ) ), 'sat_synth_nf_k'( lam( lam( X ) ) ) ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 paramod(
% 0.78/1.31 clause( 694, [ =( 'sat_synth_nf_k'( lam( lam( var( zero ) ) ) ), notb( andb(
% 0.78/1.31 nf( var( zero ) ), eq( b, b ) ) ) ) ] )
% 0.78/1.31 , clause( 72, [ =( tc( cons( X, Y ), var( zero ), Z ), eq( X, Z ) ) ] )
% 0.78/1.31 , 0, clause( 689, [ =( 'sat_synth_nf_k'( lam( lam( X ) ) ), notb( andb( nf(
% 0.78/1.31 X ), tc( cons( b, cons( a, nil ) ), X, b ) ) ) ) ] )
% 0.78/1.31 , 0, 11, substitution( 0, [ :=( X, b ), :=( Y, cons( a, nil ) ), :=( Z, b )] )
% 0.78/1.31 , substitution( 1, [ :=( X, var( zero ) )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 paramod(
% 0.78/1.31 clause( 695, [ =( 'sat_synth_nf_k'( lam( lam( var( zero ) ) ) ), notb( andb(
% 0.78/1.31 btrue, eq( b, b ) ) ) ) ] )
% 0.78/1.31 , clause( 13, [ =( nf( var( X ) ), btrue ) ] )
% 0.78/1.31 , 0, clause( 694, [ =( 'sat_synth_nf_k'( lam( lam( var( zero ) ) ) ), notb(
% 0.78/1.31 andb( nf( var( zero ) ), eq( b, b ) ) ) ) ] )
% 0.78/1.31 , 0, 8, substitution( 0, [ :=( X, zero )] ), substitution( 1, [] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 paramod(
% 0.78/1.31 clause( 696, [ =( 'sat_synth_nf_k'( lam( lam( var( zero ) ) ) ), notb( eq(
% 0.78/1.31 b, b ) ) ) ] )
% 0.78/1.31 , clause( 7, [ =( andb( btrue, X ), X ) ] )
% 0.78/1.31 , 0, clause( 695, [ =( 'sat_synth_nf_k'( lam( lam( var( zero ) ) ) ), notb(
% 0.78/1.31 andb( btrue, eq( b, b ) ) ) ) ] )
% 0.78/1.31 , 0, 7, substitution( 0, [ :=( X, eq( b, b ) )] ), substitution( 1, [] )
% 0.78/1.31 ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 paramod(
% 0.78/1.31 clause( 697, [ =( 'sat_synth_nf_k'( lam( lam( var( zero ) ) ) ), notb(
% 0.78/1.31 btrue ) ) ] )
% 0.78/1.31 , clause( 51, [ =( eq( X, X ), btrue ) ] )
% 0.78/1.31 , 0, clause( 696, [ =( 'sat_synth_nf_k'( lam( lam( var( zero ) ) ) ), notb(
% 0.78/1.31 eq( b, b ) ) ) ] )
% 0.78/1.31 , 0, 7, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 paramod(
% 0.78/1.31 clause( 698, [ =( 'sat_synth_nf_k'( lam( lam( var( zero ) ) ) ), bfalse ) ]
% 0.78/1.31 )
% 0.78/1.31 , clause( 2, [ =( notb( btrue ), bfalse ) ] )
% 0.78/1.31 , 0, clause( 697, [ =( 'sat_synth_nf_k'( lam( lam( var( zero ) ) ) ), notb(
% 0.78/1.31 btrue ) ) ] )
% 0.78/1.31 , 0, 6, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 276, [ =( 'sat_synth_nf_k'( lam( lam( var( zero ) ) ) ), bfalse ) ]
% 0.78/1.31 )
% 0.78/1.31 , clause( 698, [ =( 'sat_synth_nf_k'( lam( lam( var( zero ) ) ) ), bfalse )
% 0.78/1.31 ] )
% 0.78/1.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 eqswap(
% 0.78/1.31 clause( 701, [ ~( =( btrue, eq4( 'sat_synth_nf_k'( X ), bfalse ) ) ) ] )
% 0.78/1.31 , clause( 55, [ ~( =( eq4( 'sat_synth_nf_k'( X ), bfalse ), btrue ) ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 paramod(
% 0.78/1.31 clause( 703, [ ~( =( btrue, eq4( bfalse, bfalse ) ) ) ] )
% 0.78/1.31 , clause( 276, [ =( 'sat_synth_nf_k'( lam( lam( var( zero ) ) ) ), bfalse )
% 0.78/1.31 ] )
% 0.78/1.31 , 0, clause( 701, [ ~( =( btrue, eq4( 'sat_synth_nf_k'( X ), bfalse ) ) ) ]
% 0.78/1.31 )
% 0.78/1.31 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, lam( lam( var(
% 0.78/1.31 zero ) ) ) )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 paramod(
% 0.78/1.31 clause( 704, [ ~( =( btrue, btrue ) ) ] )
% 0.78/1.31 , clause( 54, [ =( eq4( X, X ), btrue ) ] )
% 0.78/1.31 , 0, clause( 703, [ ~( =( btrue, eq4( bfalse, bfalse ) ) ) ] )
% 0.78/1.31 , 0, 3, substitution( 0, [ :=( X, bfalse )] ), substitution( 1, [] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 eqrefl(
% 0.78/1.31 clause( 705, [] )
% 0.78/1.31 , clause( 704, [ ~( =( btrue, btrue ) ) ] )
% 0.78/1.31 , 0, substitution( 0, [] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 280, [] )
% 0.78/1.31 , clause( 705, [] )
% 0.78/1.31 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 end.
% 0.78/1.31
% 0.78/1.31 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.31
% 0.78/1.31 Memory use:
% 0.78/1.31
% 0.78/1.31 space for terms: 5376
% 0.78/1.31 space for clauses: 31035
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 clauses generated: 5684
% 0.78/1.31 clauses kept: 281
% 0.78/1.31 clauses selected: 216
% 0.78/1.31 clauses deleted: 19
% 0.78/1.31 clauses inuse deleted: 0
% 0.78/1.31
% 0.78/1.31 subsentry: 4431
% 0.78/1.31 literals s-matched: 2437
% 0.78/1.31 literals matched: 2437
% 0.78/1.31 full subsumption: 76
% 0.78/1.31
% 0.78/1.31 checksum: 508568745
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 Bliksem ended
%------------------------------------------------------------------------------