TSTP Solution File: SYN706-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN706-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 21 02:54:05 EDT 2022
% Result : Unsatisfiable 0.74s 1.12s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN706-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Tue Jul 12 05:22:22 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.74/1.12 *** allocated 10000 integers for termspace/termends
% 0.74/1.12 *** allocated 10000 integers for clauses
% 0.74/1.12 *** allocated 10000 integers for justifications
% 0.74/1.12 Bliksem 1.12
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 Automatic Strategy Selection
% 0.74/1.12
% 0.74/1.12 Clauses:
% 0.74/1.12 [
% 0.74/1.12 [ p10( X, X ) ],
% 0.74/1.12 [ p9( X, X ) ],
% 0.74/1.12 [ p7( X, X ) ],
% 0.74/1.12 [ p6( X, X ) ],
% 0.74/1.12 [ p47( X, X ) ],
% 0.74/1.12 [ p43( X, X ) ],
% 0.74/1.12 [ p41( X, X ) ],
% 0.74/1.12 [ p4( X, X ) ],
% 0.74/1.12 [ p39( X, X ) ],
% 0.74/1.12 [ p37( X, X ) ],
% 0.74/1.12 [ p36( X, X ) ],
% 0.74/1.12 [ p33( X, X ) ],
% 0.74/1.12 [ p3( X, X ) ],
% 0.74/1.12 [ p29( X, X ) ],
% 0.74/1.12 [ p27( X, X ) ],
% 0.74/1.12 [ p26( X, X ) ],
% 0.74/1.12 [ p24( X, X ) ],
% 0.74/1.12 [ p22( X, X ) ],
% 0.74/1.12 [ p21( X, X ) ],
% 0.74/1.12 [ p2( X, X ) ],
% 0.74/1.12 [ p19( X, X ) ],
% 0.74/1.12 [ p18( X, X ) ],
% 0.74/1.12 [ p16( X, X ) ],
% 0.74/1.12 [ p15( X, X ) ],
% 0.74/1.12 [ p13( X, X ) ],
% 0.74/1.12 [ p12( X, X ) ],
% 0.74/1.12 [ p45( f20( c52, c50 ), c58 ) ],
% 0.74/1.12 [ ~( p4( f5( c49, c50 ), c51 ) ) ],
% 0.74/1.12 [ ~( p48( f38( f40( c59, c50 ), c58 ), c60 ) ) ],
% 0.74/1.12 [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ],
% 0.74/1.12 [ p9( X, Y ), ~( p9( Z, Y ) ), ~( p9( Z, X ) ) ],
% 0.74/1.12 [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 0.74/1.12 [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ],
% 0.74/1.12 [ p47( X, Y ), ~( p47( Z, X ) ), ~( p47( Z, Y ) ) ],
% 0.74/1.12 [ p43( X, Y ), ~( p43( Z, X ) ), ~( p43( Z, Y ) ) ],
% 0.74/1.12 [ p41( X, Y ), ~( p41( Z, X ) ), ~( p41( Z, Y ) ) ],
% 0.74/1.12 [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ],
% 0.74/1.12 [ p39( X, Y ), ~( p39( Z, X ) ), ~( p39( Z, Y ) ) ],
% 0.74/1.12 [ p37( X, Y ), ~( p37( Z, X ) ), ~( p37( Z, Y ) ) ],
% 0.74/1.12 [ p36( X, Y ), ~( p36( Z, X ) ), ~( p36( Z, Y ) ) ],
% 0.74/1.12 [ p33( X, Y ), ~( p33( Z, X ) ), ~( p33( Z, Y ) ) ],
% 0.74/1.12 [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 0.74/1.12 [ p29( X, Y ), ~( p29( Z, X ) ), ~( p29( Z, Y ) ) ],
% 0.74/1.12 [ p27( X, Y ), ~( p27( Z, X ) ), ~( p27( Z, Y ) ) ],
% 0.74/1.12 [ p26( X, Y ), ~( p26( Z, X ) ), ~( p26( Z, Y ) ) ],
% 0.74/1.12 [ p24( X, Y ), ~( p24( Z, X ) ), ~( p24( Z, Y ) ) ],
% 0.74/1.12 [ p22( X, Y ), ~( p22( Z, X ) ), ~( p22( Z, Y ) ) ],
% 0.74/1.12 [ p21( X, Y ), ~( p21( Z, X ) ), ~( p21( Z, Y ) ) ],
% 0.74/1.12 [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.74/1.12 [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ],
% 0.74/1.12 [ p18( X, Y ), ~( p18( Z, X ) ), ~( p18( Z, Y ) ) ],
% 0.74/1.12 [ p16( X, Y ), ~( p16( Z, X ) ), ~( p16( Z, Y ) ) ],
% 0.74/1.12 [ p15( X, Y ), ~( p15( Z, X ) ), ~( p15( Z, Y ) ) ],
% 0.74/1.12 [ p13( X, Y ), ~( p13( Z, X ) ), ~( p13( Z, Y ) ) ],
% 0.74/1.12 [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ],
% 0.74/1.12 [ p45( X, Y ), ~( p45( Z, T ) ), ~( p7( T, Y ) ), ~( p19( Z, X ) ) ]
% 0.74/1.12 ,
% 0.74/1.12 [ p48( X, Y ), ~( p47( Z, Y ) ), ~( p48( T, Z ) ), ~( p37( T, X ) ) ]
% 0.74/1.12 ,
% 0.74/1.12 [ p46( X, Y ), ~( p4( Z, Y ) ), ~( p46( T, Z ) ), ~( p22( T, X ) ) ]
% 0.74/1.12 ,
% 0.74/1.12 [ p7( f8( f11( c54, f14( f17( c55, X ), f35( Y, X ) ) ), Y ), Y ) ],
% 0.74/1.12 [ p4( f25( f28( c56, f31( f34( c57, X ), f32( Y, X ) ) ), Y ), Y ) ]
% 0.74/1.12 ,
% 0.74/1.12 [ p10( f14( X, Y ), f14( Z, T ) ), ~( p12( X, Z ) ), ~( p13( Y, T ) ) ]
% 0.74/1.12 ,
% 0.74/1.12 [ p7( f8( X, Y ), f8( Z, T ) ), ~( p6( X, Z ) ), ~( p7( Y, T ) ) ],
% 0.74/1.12 [ p6( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p9( X, Z ) ) ]
% 0.74/1.12 ,
% 0.74/1.12 [ p41( f44( X, Y ), f44( Z, T ) ), ~( p43( X, Z ) ), ~( p7( Y, T ) ) ]
% 0.74/1.12 ,
% 0.74/1.12 [ p4( f5( X, Y ), f5( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y, T ) ) ],
% 0.74/1.12 [ p4( f25( X, Y ), f25( Z, T ) ), ~( p24( X, Z ) ), ~( p4( Y, T ) ) ]
% 0.74/1.12 ,
% 0.74/1.12 [ p37( f38( X, Y ), f38( Z, T ) ), ~( p36( X, Z ) ), ~( p7( Y, T ) ) ]
% 0.74/1.12 ,
% 0.74/1.12 [ p36( f40( X, Y ), f40( Z, T ) ), ~( p3( Y, T ) ), ~( p39( X, Z ) ) ]
% 0.74/1.12 ,
% 0.74/1.12 [ p30( f32( X, Y ), f32( Z, T ) ), ~( p13( Y, T ) ), ~( p4( X, Z ) ) ]
% 0.74/1.12 ,
% 0.74/1.12 [ p29( f34( X, Y ), f34( Z, T ) ), ~( p13( Y, T ) ), ~( p33( X, Z ) ) ]
% 0.74/1.12 ,
% 0.74/1.12 [ p27( f31( X, Y ), f31( Z, T ) ), ~( p29( X, Z ) ), ~( p30( Y, T ) ) ]
% 0.74/1.12 ,
% 0.74/1.12 [ p24( f28( X, Y ), f28( Z, T ) ), ~( p26( X, Z ) ), ~( p27( Y, T ) ) ]
% 0.74/1.12 ,
% 0.74/1.12 [ p22( f23( X, Y ), f23( Z, T ) ), ~( p13( Y, T ) ), ~( p21( X, Z ) ) ]
% 0.74/1.12 ,
% 0.74/1.12 [ p19( f20( X, Y ), f20( Z, T ) ), ~( p18( X, Z ) ), ~( p3( Y, T ) ) ]
% 0.74/1.12 ,
% 0.74/1.12 [ p16( f42( X, Y ), f42( Z, T ) ), ~( p3( Y, T ) ), ~( p41( X, Z ) ) ]
% 0.74/1.12 ,
% 0.74/1.12 [ p13( f35( X, Y ), f35( Z, T ) ), ~( p16( Y, T ) ), ~( p7( X, Z ) ) ]
% 0.74/1.12 ,
% 0.74/1.12 [ p12( f17( X, Y ), f17( Z, T ) ), ~( p15( X, Z ) ), ~( p16( Y, T ) ) ]
% 0.74/1.12 ,
% 0.74/1.12 [ p46( f23( c53, f35( X, Y ) ), f5( c49, Z ) ), ~( p45( f20( c52, Z ), X
% 0.74/1.12 ) ) ],
% 0.74/1.12 [ p45( f20( c52, X ), Y ), ~( p46( f23( c53, f35( Y, f42( f44( c62, Y )
% 0.74/1.12 , X ) ) ), f5( c49, X ) ) ) ],
% 0.74/1.12 [ p45( f20( c52, X ), f8( f11( c54, f14( f17( c55, Y ), Z ) ), T ) ),
% 0.74/1.12 ~( p45( f20( c52, X ), T ) ), ~( p46( f23( c53, Z ), f5( c49, X ) ) ) ]
% 0.74/1.12 ,
% 0.74/1.12 [ p48( f38( f40( c59, c50 ), f8( f11( c54, f14( f17( c55, c61 ), X ) ),
% 0.74/1.12 Y ) ), c60 ), ~( p45( f20( c52, c50 ), Y ) ), ~( p46( f23( c53, X ), f5(
% 0.74/1.12 c49, c50 ) ) ) ]
% 0.74/1.12 ] .
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 percentage equality = 0.000000, percentage horn = 1.000000
% 0.74/1.12 This is a near-Horn, non-equality problem
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 Options Used:
% 0.74/1.12
% 0.74/1.12 useres = 1
% 0.74/1.12 useparamod = 0
% 0.74/1.12 useeqrefl = 0
% 0.74/1.12 useeqfact = 0
% 0.74/1.12 usefactor = 1
% 0.74/1.12 usesimpsplitting = 0
% 0.74/1.12 usesimpdemod = 0
% 0.74/1.12 usesimpres = 4
% 0.74/1.12
% 0.74/1.12 resimpinuse = 1000
% 0.74/1.12 resimpclauses = 20000
% 0.74/1.12 substype = standard
% 0.74/1.12 backwardsubs = 1
% 0.74/1.12 selectoldest = 5
% 0.74/1.12
% 0.74/1.12 litorderings [0] = split
% 0.74/1.12 litorderings [1] = liftord
% 0.74/1.12
% 0.74/1.12 termordering = none
% 0.74/1.12
% 0.74/1.12 litapriori = 1
% 0.74/1.12 termapriori = 0
% 0.74/1.12 litaposteriori = 0
% 0.74/1.12 termaposteriori = 0
% 0.74/1.12 demodaposteriori = 0
% 0.74/1.12 ordereqreflfact = 0
% 0.74/1.12
% 0.74/1.12 litselect = negative
% 0.74/1.12
% 0.74/1.12 maxweight = 30000
% 0.74/1.12 maxdepth = 30000
% 0.74/1.12 maxlength = 115
% 0.74/1.12 maxnrvars = 195
% 0.74/1.12 excuselevel = 0
% 0.74/1.12 increasemaxweight = 0
% 0.74/1.12
% 0.74/1.12 maxselected = 10000000
% 0.74/1.12 maxnrclauses = 10000000
% 0.74/1.12
% 0.74/1.12 showgenerated = 0
% 0.74/1.12 showkept = 0
% 0.74/1.12 showselected = 0
% 0.74/1.12 showdeleted = 0
% 0.74/1.12 showresimp = 1
% 0.74/1.12 showstatus = 2000
% 0.74/1.12
% 0.74/1.12 prologoutput = 1
% 0.74/1.12 nrgoals = 5000000
% 0.74/1.12 totalproof = 1
% 0.74/1.12
% 0.74/1.12 Symbols occurring in the translation:
% 0.74/1.12
% 0.74/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.12 . [1, 2] (w:1, o:199, a:1, s:1, b:0),
% 0.74/1.12 ! [4, 1] (w:1, o:194, a:1, s:1, b:0),
% 0.74/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.12 p10 [40, 2] (w:1, o:224, a:1, s:1, b:0),
% 0.74/1.12 p9 [42, 2] (w:1, o:225, a:1, s:1, b:0),
% 0.74/1.12 p7 [44, 2] (w:1, o:227, a:1, s:1, b:0),
% 0.74/1.12 p6 [46, 2] (w:1, o:226, a:1, s:1, b:0),
% 0.74/1.12 p47 [48, 2] (w:1, o:248, a:1, s:1, b:0),
% 0.74/1.12 p43 [50, 2] (w:1, o:249, a:1, s:1, b:0),
% 0.74/1.12 p41 [52, 2] (w:1, o:250, a:1, s:1, b:0),
% 0.74/1.12 p4 [54, 2] (w:1, o:251, a:1, s:1, b:0),
% 0.74/1.12 p39 [56, 2] (w:1, o:241, a:1, s:1, b:0),
% 0.74/1.12 p37 [58, 2] (w:1, o:243, a:1, s:1, b:0),
% 0.74/1.12 p36 [60, 2] (w:1, o:242, a:1, s:1, b:0),
% 0.74/1.12 p33 [62, 2] (w:1, o:244, a:1, s:1, b:0),
% 0.74/1.12 p3 [64, 2] (w:1, o:245, a:1, s:1, b:0),
% 0.74/1.12 p29 [66, 2] (w:1, o:234, a:1, s:1, b:0),
% 0.74/1.12 p27 [68, 2] (w:1, o:236, a:1, s:1, b:0),
% 0.74/1.12 p26 [70, 2] (w:1, o:235, a:1, s:1, b:0),
% 0.74/1.12 p24 [72, 2] (w:1, o:237, a:1, s:1, b:0),
% 0.74/1.12 p22 [74, 2] (w:1, o:239, a:1, s:1, b:0),
% 0.74/1.12 p21 [76, 2] (w:1, o:238, a:1, s:1, b:0),
% 0.74/1.12 p2 [78, 2] (w:1, o:240, a:1, s:1, b:0),
% 0.74/1.12 p19 [80, 2] (w:1, o:229, a:1, s:1, b:0),
% 0.74/1.12 p18 [82, 2] (w:1, o:228, a:1, s:1, b:0),
% 0.74/1.12 p16 [84, 2] (w:1, o:231, a:1, s:1, b:0),
% 0.74/1.12 p15 [86, 2] (w:1, o:230, a:1, s:1, b:0),
% 0.74/1.12 p13 [88, 2] (w:1, o:233, a:1, s:1, b:0),
% 0.74/1.12 p12 [90, 2] (w:1, o:232, a:1, s:1, b:0),
% 0.74/1.12 c52 [91, 0] (w:1, o:173, a:1, s:1, b:0),
% 0.74/1.12 c50 [92, 0] (w:1, o:174, a:1, s:1, b:0),
% 0.74/1.12 f20 [93, 2] (w:1, o:255, a:1, s:1, b:0),
% 0.74/1.12 c58 [94, 0] (w:1, o:176, a:1, s:1, b:0),
% 0.74/1.12 p45 [95, 2] (w:1, o:256, a:1, s:1, b:0),
% 0.74/1.12 c49 [96, 0] (w:1, o:171, a:1, s:1, b:0),
% 0.74/1.12 f5 [97, 2] (w:1, o:268, a:1, s:1, b:0),
% 0.74/1.12 c51 [98, 0] (w:1, o:172, a:1, s:1, b:0),
% 0.74/1.12 c59 [99, 0] (w:1, o:177, a:1, s:1, b:0),
% 0.74/1.12 f40 [100, 2] (w:1, o:265, a:1, s:1, b:0),
% 0.74/1.12 f38 [101, 2] (w:1, o:260, a:1, s:1, b:0),
% 0.74/1.12 c60 [102, 0] (w:1, o:182, a:1, s:1, b:0),
% 0.74/1.12 p48 [103, 2] (w:1, o:269, a:1, s:1, b:0),
% 0.74/1.12 p46 [166, 2] (w:1, o:247, a:1, s:1, b:0),
% 0.74/1.12 c54 [169, 0] (w:1, o:179, a:1, s:1, b:0),
% 0.74/1.12 c55 [170, 0] (w:1, o:180, a:1, s:1, b:0),
% 0.74/1.12 f17 [172, 2] (w:1, o:252, a:1, s:1, b:0),
% 0.74/1.12 f35 [174, 2] (w:1, o:262, a:1, s:1, b:0),
% 0.74/1.12 f14 [175, 2] (w:1, o:253, a:1, s:1, b:0),
% 0.74/1.12 f11 [176, 2] (w:1, o:254, a:1, s:1, b:0),
% 0.74/1.12 f8 [177, 2] (w:1, o:270, a:1, s:1, b:0),
% 0.74/1.12 c56 [178, 0] (w:1, o:181, a:1, s:1, b:0),
% 0.74/1.12 c57 [179, 0] (w:1, o:175, a:1, s:1, b:0),
% 0.74/1.12 f34 [181, 2] (w:1, o:261, a:1, s:1, b:0),
% 0.74/1.12 f32 [183, 2] (w:1, o:264, a:1, s:1, b:0),
% 0.74/1.12 f31 [184, 2] (w:1, o:263, a:1, s:1, b:0),
% 0.74/1.12 f28 [185, 2] (w:1, o:257, a:1, s:1, b:0),
% 0.74/1.12 f25 [186, 2] (w:1, o:258, a:1, s:1, b:0),
% 0.74/1.12 f44 [201, 2] (w:1, o:266, a:1, s:1, b:0),
% 0.74/1.12 p30 [224, 2] (w:1, o:246, a:1, s:1, b:0),
% 0.74/1.12 f23 [239, 2] (w:1, o:259, a:1, s:1, b:0),
% 0.74/1.12 f42 [248, 2] (w:1, o:267, a:1, s:1, b:0),
% 0.74/1.12 c53 [259, 0] (w:1, o:178, a:1, s:1, b:0),
% 0.74/1.12 c62 [263, 0] (w:1, o:193, a:1, s:1, b:0),
% 0.74/1.12 c61 [268, 0] (w:1, o:192, a:1, s:1, b:0).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 Starting Search:
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 Bliksems!, er is een bewijs:
% 0.74/1.12 % SZS status Unsatisfiable
% 0.74/1.12 % SZS output start Refutation
% 0.74/1.12
% 0.74/1.12 clause( 2, [ p7( X, X ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 4, [ p47( X, X ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 9, [ p37( X, X ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 10, [ p36( X, X ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 26, [ p45( f20( c52, c50 ), c58 ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 28, [ ~( p48( f38( f40( c59, c50 ), c58 ), c60 ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 31, [ ~( p7( Z, X ) ), p7( X, Y ), ~( p7( Z, Y ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 38, [ ~( p37( Z, X ) ), p37( X, Y ), ~( p37( Z, Y ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 56, [ ~( p48( T, Z ) ), ~( p37( T, X ) ), p48( X, Y ), ~( p47( Z, Y
% 0.74/1.12 ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 58, [ p7( f8( f11( c54, f14( f17( c55, X ), f35( Y, X ) ) ), Y ), Y
% 0.74/1.12 ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 66, [ ~( p36( X, Z ) ), p37( f38( X, Y ), f38( Z, T ) ), ~( p7( Y,
% 0.74/1.12 T ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 77, [ p46( f23( c53, f35( X, Y ) ), f5( c49, Z ) ), ~( p45( f20(
% 0.74/1.12 c52, Z ), X ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 80, [ p48( f38( f40( c59, c50 ), f8( f11( c54, f14( f17( c55, c61 )
% 0.74/1.12 , X ) ), Y ) ), c60 ), ~( p46( f23( c53, X ), f5( c49, c50 ) ) ), ~( p45(
% 0.74/1.12 f20( c52, c50 ), Y ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 87, [ p7( Y, X ), ~( p7( X, Y ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 104, [ p37( Y, X ), ~( p37( X, Y ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 111, [ ~( p48( X, Y ) ), p48( Z, Y ), ~( p37( X, Z ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 113, [ p7( X, f8( f11( c54, f14( f17( c55, Y ), f35( X, Y ) ) ), X
% 0.74/1.12 ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 145, [ p37( f38( X, Z ), f38( Y, f8( f11( c54, f14( f17( c55, T ),
% 0.74/1.12 f35( Z, T ) ) ), Z ) ) ), ~( p36( X, Y ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 150, [ p46( f23( c53, f35( c58, X ) ), f5( c49, c50 ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 167, [ p48( f38( f40( c59, c50 ), f8( f11( c54, f14( f17( c55, c61
% 0.74/1.12 ), X ) ), c58 ) ), c60 ), ~( p46( f23( c53, X ), f5( c49, c50 ) ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 197, [ p37( f38( X, Y ), f38( X, f8( f11( c54, f14( f17( c55, Z ),
% 0.74/1.12 f35( Y, Z ) ) ), Y ) ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 199, [ p37( f38( X, f8( f11( c54, f14( f17( c55, Y ), f35( Z, Y ) )
% 0.74/1.12 ), Z ) ), f38( X, Z ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 213, [ p48( f38( X, Z ), T ), ~( p48( f38( X, f8( f11( c54, f14(
% 0.74/1.12 f17( c55, Y ), f35( Z, Y ) ) ), Z ) ), T ) ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 345, [ p48( f38( f40( c59, c50 ), f8( f11( c54, f14( f17( c55, c61
% 0.74/1.12 ), f35( c58, X ) ) ), c58 ) ), c60 ) ] )
% 0.74/1.12 .
% 0.74/1.12 clause( 355, [] )
% 0.74/1.12 .
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 % SZS output end Refutation
% 0.74/1.12 found a proof!
% 0.74/1.12
% 0.74/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.12
% 0.74/1.12 initialclauses(
% 0.74/1.12 [ clause( 357, [ p10( X, X ) ] )
% 0.74/1.12 , clause( 358, [ p9( X, X ) ] )
% 0.74/1.12 , clause( 359, [ p7( X, X ) ] )
% 0.74/1.12 , clause( 360, [ p6( X, X ) ] )
% 0.74/1.12 , clause( 361, [ p47( X, X ) ] )
% 0.74/1.12 , clause( 362, [ p43( X, X ) ] )
% 0.74/1.12 , clause( 363, [ p41( X, X ) ] )
% 0.74/1.12 , clause( 364, [ p4( X, X ) ] )
% 0.74/1.12 , clause( 365, [ p39( X, X ) ] )
% 0.74/1.12 , clause( 366, [ p37( X, X ) ] )
% 0.74/1.12 , clause( 367, [ p36( X, X ) ] )
% 0.74/1.12 , clause( 368, [ p33( X, X ) ] )
% 0.74/1.12 , clause( 369, [ p3( X, X ) ] )
% 0.74/1.12 , clause( 370, [ p29( X, X ) ] )
% 0.74/1.12 , clause( 371, [ p27( X, X ) ] )
% 0.74/1.12 , clause( 372, [ p26( X, X ) ] )
% 0.74/1.12 , clause( 373, [ p24( X, X ) ] )
% 0.74/1.12 , clause( 374, [ p22( X, X ) ] )
% 0.74/1.12 , clause( 375, [ p21( X, X ) ] )
% 0.74/1.12 , clause( 376, [ p2( X, X ) ] )
% 0.74/1.12 , clause( 377, [ p19( X, X ) ] )
% 0.74/1.12 , clause( 378, [ p18( X, X ) ] )
% 0.74/1.12 , clause( 379, [ p16( X, X ) ] )
% 0.74/1.12 , clause( 380, [ p15( X, X ) ] )
% 0.74/1.12 , clause( 381, [ p13( X, X ) ] )
% 0.74/1.12 , clause( 382, [ p12( X, X ) ] )
% 0.74/1.12 , clause( 383, [ p45( f20( c52, c50 ), c58 ) ] )
% 0.74/1.12 , clause( 384, [ ~( p4( f5( c49, c50 ), c51 ) ) ] )
% 0.74/1.12 , clause( 385, [ ~( p48( f38( f40( c59, c50 ), c58 ), c60 ) ) ] )
% 0.74/1.12 , clause( 386, [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ] )
% 0.74/1.12 , clause( 387, [ p9( X, Y ), ~( p9( Z, Y ) ), ~( p9( Z, X ) ) ] )
% 0.74/1.12 , clause( 388, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 0.74/1.12 , clause( 389, [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ] )
% 0.74/1.12 , clause( 390, [ p47( X, Y ), ~( p47( Z, X ) ), ~( p47( Z, Y ) ) ] )
% 0.74/1.12 , clause( 391, [ p43( X, Y ), ~( p43( Z, X ) ), ~( p43( Z, Y ) ) ] )
% 0.74/1.12 , clause( 392, [ p41( X, Y ), ~( p41( Z, X ) ), ~( p41( Z, Y ) ) ] )
% 0.74/1.12 , clause( 393, [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ] )
% 0.74/1.12 , clause( 394, [ p39( X, Y ), ~( p39( Z, X ) ), ~( p39( Z, Y ) ) ] )
% 0.74/1.12 , clause( 395, [ p37( X, Y ), ~( p37( Z, X ) ), ~( p37( Z, Y ) ) ] )
% 0.74/1.12 , clause( 396, [ p36( X, Y ), ~( p36( Z, X ) ), ~( p36( Z, Y ) ) ] )
% 0.74/1.12 , clause( 397, [ p33( X, Y ), ~( p33( Z, X ) ), ~( p33( Z, Y ) ) ] )
% 0.74/1.12 , clause( 398, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.74/1.12 , clause( 399, [ p29( X, Y ), ~( p29( Z, X ) ), ~( p29( Z, Y ) ) ] )
% 0.74/1.12 , clause( 400, [ p27( X, Y ), ~( p27( Z, X ) ), ~( p27( Z, Y ) ) ] )
% 0.74/1.12 , clause( 401, [ p26( X, Y ), ~( p26( Z, X ) ), ~( p26( Z, Y ) ) ] )
% 0.74/1.12 , clause( 402, [ p24( X, Y ), ~( p24( Z, X ) ), ~( p24( Z, Y ) ) ] )
% 0.74/1.12 , clause( 403, [ p22( X, Y ), ~( p22( Z, X ) ), ~( p22( Z, Y ) ) ] )
% 0.74/1.12 , clause( 404, [ p21( X, Y ), ~( p21( Z, X ) ), ~( p21( Z, Y ) ) ] )
% 0.74/1.12 , clause( 405, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.74/1.12 , clause( 406, [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ] )
% 0.74/1.12 , clause( 407, [ p18( X, Y ), ~( p18( Z, X ) ), ~( p18( Z, Y ) ) ] )
% 0.74/1.12 , clause( 408, [ p16( X, Y ), ~( p16( Z, X ) ), ~( p16( Z, Y ) ) ] )
% 0.74/1.12 , clause( 409, [ p15( X, Y ), ~( p15( Z, X ) ), ~( p15( Z, Y ) ) ] )
% 0.74/1.12 , clause( 410, [ p13( X, Y ), ~( p13( Z, X ) ), ~( p13( Z, Y ) ) ] )
% 0.74/1.12 , clause( 411, [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ] )
% 0.74/1.12 , clause( 412, [ p45( X, Y ), ~( p45( Z, T ) ), ~( p7( T, Y ) ), ~( p19( Z
% 0.74/1.12 , X ) ) ] )
% 0.74/1.12 , clause( 413, [ p48( X, Y ), ~( p47( Z, Y ) ), ~( p48( T, Z ) ), ~( p37( T
% 0.74/1.12 , X ) ) ] )
% 0.74/1.12 , clause( 414, [ p46( X, Y ), ~( p4( Z, Y ) ), ~( p46( T, Z ) ), ~( p22( T
% 0.74/1.12 , X ) ) ] )
% 0.74/1.12 , clause( 415, [ p7( f8( f11( c54, f14( f17( c55, X ), f35( Y, X ) ) ), Y )
% 0.74/1.12 , Y ) ] )
% 0.74/1.12 , clause( 416, [ p4( f25( f28( c56, f31( f34( c57, X ), f32( Y, X ) ) ), Y
% 0.74/1.12 ), Y ) ] )
% 0.74/1.12 , clause( 417, [ p10( f14( X, Y ), f14( Z, T ) ), ~( p12( X, Z ) ), ~( p13(
% 0.74/1.12 Y, T ) ) ] )
% 0.74/1.12 , clause( 418, [ p7( f8( X, Y ), f8( Z, T ) ), ~( p6( X, Z ) ), ~( p7( Y, T
% 0.74/1.12 ) ) ] )
% 0.74/1.12 , clause( 419, [ p6( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p9( X
% 0.74/1.12 , Z ) ) ] )
% 0.74/1.12 , clause( 420, [ p41( f44( X, Y ), f44( Z, T ) ), ~( p43( X, Z ) ), ~( p7(
% 0.74/1.12 Y, T ) ) ] )
% 0.74/1.12 , clause( 421, [ p4( f5( X, Y ), f5( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y, T
% 0.74/1.12 ) ) ] )
% 0.74/1.12 , clause( 422, [ p4( f25( X, Y ), f25( Z, T ) ), ~( p24( X, Z ) ), ~( p4( Y
% 0.74/1.12 , T ) ) ] )
% 0.74/1.12 , clause( 423, [ p37( f38( X, Y ), f38( Z, T ) ), ~( p36( X, Z ) ), ~( p7(
% 0.74/1.12 Y, T ) ) ] )
% 0.74/1.12 , clause( 424, [ p36( f40( X, Y ), f40( Z, T ) ), ~( p3( Y, T ) ), ~( p39(
% 0.74/1.12 X, Z ) ) ] )
% 0.74/1.12 , clause( 425, [ p30( f32( X, Y ), f32( Z, T ) ), ~( p13( Y, T ) ), ~( p4(
% 0.74/1.12 X, Z ) ) ] )
% 0.74/1.12 , clause( 426, [ p29( f34( X, Y ), f34( Z, T ) ), ~( p13( Y, T ) ), ~( p33(
% 0.74/1.12 X, Z ) ) ] )
% 0.74/1.12 , clause( 427, [ p27( f31( X, Y ), f31( Z, T ) ), ~( p29( X, Z ) ), ~( p30(
% 0.74/1.12 Y, T ) ) ] )
% 0.74/1.12 , clause( 428, [ p24( f28( X, Y ), f28( Z, T ) ), ~( p26( X, Z ) ), ~( p27(
% 0.74/1.12 Y, T ) ) ] )
% 0.74/1.12 , clause( 429, [ p22( f23( X, Y ), f23( Z, T ) ), ~( p13( Y, T ) ), ~( p21(
% 0.74/1.12 X, Z ) ) ] )
% 0.74/1.12 , clause( 430, [ p19( f20( X, Y ), f20( Z, T ) ), ~( p18( X, Z ) ), ~( p3(
% 0.74/1.12 Y, T ) ) ] )
% 0.74/1.12 , clause( 431, [ p16( f42( X, Y ), f42( Z, T ) ), ~( p3( Y, T ) ), ~( p41(
% 0.74/1.12 X, Z ) ) ] )
% 0.74/1.12 , clause( 432, [ p13( f35( X, Y ), f35( Z, T ) ), ~( p16( Y, T ) ), ~( p7(
% 0.74/1.12 X, Z ) ) ] )
% 0.74/1.12 , clause( 433, [ p12( f17( X, Y ), f17( Z, T ) ), ~( p15( X, Z ) ), ~( p16(
% 0.74/1.12 Y, T ) ) ] )
% 0.74/1.12 , clause( 434, [ p46( f23( c53, f35( X, Y ) ), f5( c49, Z ) ), ~( p45( f20(
% 0.74/1.12 c52, Z ), X ) ) ] )
% 0.74/1.12 , clause( 435, [ p45( f20( c52, X ), Y ), ~( p46( f23( c53, f35( Y, f42(
% 0.74/1.12 f44( c62, Y ), X ) ) ), f5( c49, X ) ) ) ] )
% 0.74/1.12 , clause( 436, [ p45( f20( c52, X ), f8( f11( c54, f14( f17( c55, Y ), Z )
% 0.74/1.12 ), T ) ), ~( p45( f20( c52, X ), T ) ), ~( p46( f23( c53, Z ), f5( c49,
% 0.74/1.12 X ) ) ) ] )
% 0.74/1.12 , clause( 437, [ p48( f38( f40( c59, c50 ), f8( f11( c54, f14( f17( c55,
% 0.74/1.12 c61 ), X ) ), Y ) ), c60 ), ~( p45( f20( c52, c50 ), Y ) ), ~( p46( f23(
% 0.74/1.12 c53, X ), f5( c49, c50 ) ) ) ] )
% 0.74/1.12 ] ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 2, [ p7( X, X ) ] )
% 0.74/1.12 , clause( 359, [ p7( X, X ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 4, [ p47( X, X ) ] )
% 0.74/1.12 , clause( 361, [ p47( X, X ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 9, [ p37( X, X ) ] )
% 0.74/1.12 , clause( 366, [ p37( X, X ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 10, [ p36( X, X ) ] )
% 0.74/1.12 , clause( 367, [ p36( X, X ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 26, [ p45( f20( c52, c50 ), c58 ) ] )
% 0.74/1.12 , clause( 383, [ p45( f20( c52, c50 ), c58 ) ] )
% 0.74/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 28, [ ~( p48( f38( f40( c59, c50 ), c58 ), c60 ) ) ] )
% 0.74/1.12 , clause( 385, [ ~( p48( f38( f40( c59, c50 ), c58 ), c60 ) ) ] )
% 0.74/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 31, [ ~( p7( Z, X ) ), p7( X, Y ), ~( p7( Z, Y ) ) ] )
% 0.74/1.12 , clause( 388, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 38, [ ~( p37( Z, X ) ), p37( X, Y ), ~( p37( Z, Y ) ) ] )
% 0.74/1.12 , clause( 395, [ p37( X, Y ), ~( p37( Z, X ) ), ~( p37( Z, Y ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 56, [ ~( p48( T, Z ) ), ~( p37( T, X ) ), p48( X, Y ), ~( p47( Z, Y
% 0.74/1.12 ) ) ] )
% 0.74/1.12 , clause( 413, [ p48( X, Y ), ~( p47( Z, Y ) ), ~( p48( T, Z ) ), ~( p37( T
% 0.74/1.12 , X ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.12 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 3 ), ==>( 2, 0 ), ==>( 3, 1 )] )
% 0.74/1.12 ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 58, [ p7( f8( f11( c54, f14( f17( c55, X ), f35( Y, X ) ) ), Y ), Y
% 0.74/1.12 ) ] )
% 0.74/1.12 , clause( 415, [ p7( f8( f11( c54, f14( f17( c55, X ), f35( Y, X ) ) ), Y )
% 0.74/1.12 , Y ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.12 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 66, [ ~( p36( X, Z ) ), p37( f38( X, Y ), f38( Z, T ) ), ~( p7( Y,
% 0.74/1.12 T ) ) ] )
% 0.74/1.12 , clause( 423, [ p37( f38( X, Y ), f38( Z, T ) ), ~( p36( X, Z ) ), ~( p7(
% 0.74/1.12 Y, T ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 77, [ p46( f23( c53, f35( X, Y ) ), f5( c49, Z ) ), ~( p45( f20(
% 0.74/1.12 c52, Z ), X ) ) ] )
% 0.74/1.12 , clause( 434, [ p46( f23( c53, f35( X, Y ) ), f5( c49, Z ) ), ~( p45( f20(
% 0.74/1.12 c52, Z ), X ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 80, [ p48( f38( f40( c59, c50 ), f8( f11( c54, f14( f17( c55, c61 )
% 0.74/1.12 , X ) ), Y ) ), c60 ), ~( p46( f23( c53, X ), f5( c49, c50 ) ) ), ~( p45(
% 0.74/1.12 f20( c52, c50 ), Y ) ) ] )
% 0.74/1.12 , clause( 437, [ p48( f38( f40( c59, c50 ), f8( f11( c54, f14( f17( c55,
% 0.74/1.12 c61 ), X ) ), Y ) ), c60 ), ~( p45( f20( c52, c50 ), Y ) ), ~( p46( f23(
% 0.74/1.12 c53, X ), f5( c49, c50 ) ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.12 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 582, [ ~( p7( X, Y ) ), p7( Y, X ) ] )
% 0.74/1.12 , clause( 31, [ ~( p7( Z, X ) ), p7( X, Y ), ~( p7( Z, Y ) ) ] )
% 0.74/1.12 , 2, clause( 2, [ p7( X, X ) ] )
% 0.74/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.74/1.12 substitution( 1, [ :=( X, X )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 87, [ p7( Y, X ), ~( p7( X, Y ) ) ] )
% 0.74/1.12 , clause( 582, [ ~( p7( X, Y ) ), p7( Y, X ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.74/1.12 ), ==>( 1, 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 584, [ ~( p37( X, Y ) ), p37( Y, X ) ] )
% 0.74/1.12 , clause( 38, [ ~( p37( Z, X ) ), p37( X, Y ), ~( p37( Z, Y ) ) ] )
% 0.74/1.12 , 2, clause( 9, [ p37( X, X ) ] )
% 0.74/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.74/1.12 substitution( 1, [ :=( X, X )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 104, [ p37( Y, X ), ~( p37( X, Y ) ) ] )
% 0.74/1.12 , clause( 584, [ ~( p37( X, Y ) ), p37( Y, X ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.74/1.12 ), ==>( 1, 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 585, [ ~( p48( X, Y ) ), ~( p37( X, Z ) ), p48( Z, Y ) ] )
% 0.74/1.12 , clause( 56, [ ~( p48( T, Z ) ), ~( p37( T, X ) ), p48( X, Y ), ~( p47( Z
% 0.74/1.12 , Y ) ) ] )
% 0.74/1.12 , 3, clause( 4, [ p47( X, X ) ] )
% 0.74/1.12 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, Y ), :=( T, X )] ),
% 0.74/1.12 substitution( 1, [ :=( X, Y )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 111, [ ~( p48( X, Y ) ), p48( Z, Y ), ~( p37( X, Z ) ) ] )
% 0.74/1.12 , clause( 585, [ ~( p48( X, Y ) ), ~( p37( X, Z ) ), p48( Z, Y ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 586, [ p7( X, f8( f11( c54, f14( f17( c55, Y ), f35( X, Y ) ) ), X
% 0.74/1.12 ) ) ] )
% 0.74/1.12 , clause( 87, [ p7( Y, X ), ~( p7( X, Y ) ) ] )
% 0.74/1.12 , 1, clause( 58, [ p7( f8( f11( c54, f14( f17( c55, X ), f35( Y, X ) ) ), Y
% 0.74/1.12 ), Y ) ] )
% 0.74/1.12 , 0, substitution( 0, [ :=( X, f8( f11( c54, f14( f17( c55, Y ), f35( X, Y
% 0.74/1.12 ) ) ), X ) ), :=( Y, X )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )
% 0.74/1.12 ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 113, [ p7( X, f8( f11( c54, f14( f17( c55, Y ), f35( X, Y ) ) ), X
% 0.74/1.12 ) ) ] )
% 0.74/1.12 , clause( 586, [ p7( X, f8( f11( c54, f14( f17( c55, Y ), f35( X, Y ) ) ),
% 0.74/1.12 X ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.12 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 587, [ ~( p36( X, Y ) ), p37( f38( X, Z ), f38( Y, f8( f11( c54,
% 0.74/1.12 f14( f17( c55, T ), f35( Z, T ) ) ), Z ) ) ) ] )
% 0.74/1.12 , clause( 66, [ ~( p36( X, Z ) ), p37( f38( X, Y ), f38( Z, T ) ), ~( p7( Y
% 0.74/1.12 , T ) ) ] )
% 0.74/1.12 , 2, clause( 113, [ p7( X, f8( f11( c54, f14( f17( c55, Y ), f35( X, Y ) )
% 0.74/1.12 ), X ) ) ] )
% 0.74/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, f8( f11(
% 0.74/1.12 c54, f14( f17( c55, T ), f35( Z, T ) ) ), Z ) )] ), substitution( 1, [
% 0.74/1.12 :=( X, Z ), :=( Y, T )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 145, [ p37( f38( X, Z ), f38( Y, f8( f11( c54, f14( f17( c55, T ),
% 0.74/1.12 f35( Z, T ) ) ), Z ) ) ), ~( p36( X, Y ) ) ] )
% 0.74/1.12 , clause( 587, [ ~( p36( X, Y ) ), p37( f38( X, Z ), f38( Y, f8( f11( c54,
% 0.74/1.12 f14( f17( c55, T ), f35( Z, T ) ) ), Z ) ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 588, [ p46( f23( c53, f35( c58, X ) ), f5( c49, c50 ) ) ] )
% 0.74/1.12 , clause( 77, [ p46( f23( c53, f35( X, Y ) ), f5( c49, Z ) ), ~( p45( f20(
% 0.74/1.12 c52, Z ), X ) ) ] )
% 0.74/1.12 , 1, clause( 26, [ p45( f20( c52, c50 ), c58 ) ] )
% 0.74/1.12 , 0, substitution( 0, [ :=( X, c58 ), :=( Y, X ), :=( Z, c50 )] ),
% 0.74/1.12 substitution( 1, [] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 150, [ p46( f23( c53, f35( c58, X ) ), f5( c49, c50 ) ) ] )
% 0.74/1.12 , clause( 588, [ p46( f23( c53, f35( c58, X ) ), f5( c49, c50 ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 589, [ p48( f38( f40( c59, c50 ), f8( f11( c54, f14( f17( c55, c61
% 0.74/1.12 ), X ) ), c58 ) ), c60 ), ~( p46( f23( c53, X ), f5( c49, c50 ) ) ) ] )
% 0.74/1.12 , clause( 80, [ p48( f38( f40( c59, c50 ), f8( f11( c54, f14( f17( c55, c61
% 0.74/1.12 ), X ) ), Y ) ), c60 ), ~( p46( f23( c53, X ), f5( c49, c50 ) ) ), ~(
% 0.74/1.12 p45( f20( c52, c50 ), Y ) ) ] )
% 0.74/1.12 , 2, clause( 26, [ p45( f20( c52, c50 ), c58 ) ] )
% 0.74/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, c58 )] ), substitution( 1, [] )
% 0.74/1.12 ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 167, [ p48( f38( f40( c59, c50 ), f8( f11( c54, f14( f17( c55, c61
% 0.74/1.12 ), X ) ), c58 ) ), c60 ), ~( p46( f23( c53, X ), f5( c49, c50 ) ) ) ] )
% 0.74/1.12 , clause( 589, [ p48( f38( f40( c59, c50 ), f8( f11( c54, f14( f17( c55,
% 0.74/1.12 c61 ), X ) ), c58 ) ), c60 ), ~( p46( f23( c53, X ), f5( c49, c50 ) ) ) ]
% 0.74/1.12 )
% 0.74/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.74/1.12 1 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 590, [ p37( f38( X, Y ), f38( X, f8( f11( c54, f14( f17( c55, Z ),
% 0.74/1.12 f35( Y, Z ) ) ), Y ) ) ) ] )
% 0.74/1.12 , clause( 145, [ p37( f38( X, Z ), f38( Y, f8( f11( c54, f14( f17( c55, T )
% 0.74/1.12 , f35( Z, T ) ) ), Z ) ) ), ~( p36( X, Y ) ) ] )
% 0.74/1.12 , 1, clause( 10, [ p36( X, X ) ] )
% 0.74/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 0.74/1.12 substitution( 1, [ :=( X, X )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 197, [ p37( f38( X, Y ), f38( X, f8( f11( c54, f14( f17( c55, Z ),
% 0.74/1.12 f35( Y, Z ) ) ), Y ) ) ) ] )
% 0.74/1.12 , clause( 590, [ p37( f38( X, Y ), f38( X, f8( f11( c54, f14( f17( c55, Z )
% 0.74/1.12 , f35( Y, Z ) ) ), Y ) ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 591, [ p37( f38( X, f8( f11( c54, f14( f17( c55, Y ), f35( Z, Y ) )
% 0.74/1.12 ), Z ) ), f38( X, Z ) ) ] )
% 0.74/1.12 , clause( 104, [ p37( Y, X ), ~( p37( X, Y ) ) ] )
% 0.74/1.12 , 1, clause( 197, [ p37( f38( X, Y ), f38( X, f8( f11( c54, f14( f17( c55,
% 0.74/1.12 Z ), f35( Y, Z ) ) ), Y ) ) ) ] )
% 0.74/1.12 , 0, substitution( 0, [ :=( X, f38( X, Z ) ), :=( Y, f38( X, f8( f11( c54,
% 0.74/1.12 f14( f17( c55, Y ), f35( Z, Y ) ) ), Z ) ) )] ), substitution( 1, [ :=( X
% 0.74/1.12 , X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 199, [ p37( f38( X, f8( f11( c54, f14( f17( c55, Y ), f35( Z, Y ) )
% 0.74/1.12 ), Z ) ), f38( X, Z ) ) ] )
% 0.74/1.12 , clause( 591, [ p37( f38( X, f8( f11( c54, f14( f17( c55, Y ), f35( Z, Y )
% 0.74/1.12 ) ), Z ) ), f38( X, Z ) ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 592, [ ~( p48( f38( X, f8( f11( c54, f14( f17( c55, Y ), f35( Z, Y
% 0.74/1.12 ) ) ), Z ) ), T ) ), p48( f38( X, Z ), T ) ] )
% 0.74/1.12 , clause( 111, [ ~( p48( X, Y ) ), p48( Z, Y ), ~( p37( X, Z ) ) ] )
% 0.74/1.12 , 2, clause( 199, [ p37( f38( X, f8( f11( c54, f14( f17( c55, Y ), f35( Z,
% 0.74/1.12 Y ) ) ), Z ) ), f38( X, Z ) ) ] )
% 0.74/1.12 , 0, substitution( 0, [ :=( X, f38( X, f8( f11( c54, f14( f17( c55, Y ),
% 0.74/1.12 f35( Z, Y ) ) ), Z ) ) ), :=( Y, T ), :=( Z, f38( X, Z ) )] ),
% 0.74/1.12 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 213, [ p48( f38( X, Z ), T ), ~( p48( f38( X, f8( f11( c54, f14(
% 0.74/1.12 f17( c55, Y ), f35( Z, Y ) ) ), Z ) ), T ) ) ] )
% 0.74/1.12 , clause( 592, [ ~( p48( f38( X, f8( f11( c54, f14( f17( c55, Y ), f35( Z,
% 0.74/1.12 Y ) ) ), Z ) ), T ) ), p48( f38( X, Z ), T ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 593, [ p48( f38( f40( c59, c50 ), f8( f11( c54, f14( f17( c55, c61
% 0.74/1.12 ), f35( c58, X ) ) ), c58 ) ), c60 ) ] )
% 0.74/1.12 , clause( 167, [ p48( f38( f40( c59, c50 ), f8( f11( c54, f14( f17( c55,
% 0.74/1.12 c61 ), X ) ), c58 ) ), c60 ), ~( p46( f23( c53, X ), f5( c49, c50 ) ) ) ]
% 0.74/1.12 )
% 0.74/1.12 , 1, clause( 150, [ p46( f23( c53, f35( c58, X ) ), f5( c49, c50 ) ) ] )
% 0.74/1.12 , 0, substitution( 0, [ :=( X, f35( c58, X ) )] ), substitution( 1, [ :=( X
% 0.74/1.12 , X )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 345, [ p48( f38( f40( c59, c50 ), f8( f11( c54, f14( f17( c55, c61
% 0.74/1.12 ), f35( c58, X ) ) ), c58 ) ), c60 ) ] )
% 0.74/1.12 , clause( 593, [ p48( f38( f40( c59, c50 ), f8( f11( c54, f14( f17( c55,
% 0.74/1.12 c61 ), f35( c58, X ) ) ), c58 ) ), c60 ) ] )
% 0.74/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 594, [ p48( f38( f40( c59, c50 ), c58 ), c60 ) ] )
% 0.74/1.12 , clause( 213, [ p48( f38( X, Z ), T ), ~( p48( f38( X, f8( f11( c54, f14(
% 0.74/1.12 f17( c55, Y ), f35( Z, Y ) ) ), Z ) ), T ) ) ] )
% 0.74/1.12 , 1, clause( 345, [ p48( f38( f40( c59, c50 ), f8( f11( c54, f14( f17( c55
% 0.74/1.12 , c61 ), f35( c58, X ) ) ), c58 ) ), c60 ) ] )
% 0.74/1.12 , 0, substitution( 0, [ :=( X, f40( c59, c50 ) ), :=( Y, c61 ), :=( Z, c58
% 0.74/1.12 ), :=( T, c60 )] ), substitution( 1, [ :=( X, c61 )] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 resolution(
% 0.74/1.12 clause( 595, [] )
% 0.74/1.12 , clause( 28, [ ~( p48( f38( f40( c59, c50 ), c58 ), c60 ) ) ] )
% 0.74/1.12 , 0, clause( 594, [ p48( f38( f40( c59, c50 ), c58 ), c60 ) ] )
% 0.74/1.12 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 subsumption(
% 0.74/1.12 clause( 355, [] )
% 0.74/1.12 , clause( 595, [] )
% 0.74/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 end.
% 0.74/1.12
% 0.74/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.12
% 0.74/1.12 Memory use:
% 0.74/1.12
% 0.74/1.12 space for terms: 10188
% 0.74/1.12 space for clauses: 44752
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 clauses generated: 485
% 0.74/1.12 clauses kept: 356
% 0.74/1.12 clauses selected: 202
% 0.74/1.12 clauses deleted: 0
% 0.74/1.12 clauses inuse deleted: 0
% 0.74/1.12
% 0.74/1.12 subsentry: 361
% 0.74/1.12 literals s-matched: 221
% 0.74/1.12 literals matched: 221
% 0.74/1.12 full subsumption: 0
% 0.74/1.12
% 0.74/1.12 checksum: 621620571
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 Bliksem ended
%------------------------------------------------------------------------------