TSTP Solution File: SYN703-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN703-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 02:54:03 EDT 2022
% Result : Unsatisfiable 0.72s 1.10s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN703-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Mon Jul 11 11:33:35 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.72/1.10 *** allocated 10000 integers for termspace/termends
% 0.72/1.10 *** allocated 10000 integers for clauses
% 0.72/1.10 *** allocated 10000 integers for justifications
% 0.72/1.10 Bliksem 1.12
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Automatic Strategy Selection
% 0.72/1.10
% 0.72/1.10 Clauses:
% 0.72/1.10 [
% 0.72/1.10 [ p9( X, X ) ],
% 0.72/1.10 [ p10( X, X ) ],
% 0.72/1.10 [ p12( X, X ) ],
% 0.72/1.10 [ p14( X, X ) ],
% 0.72/1.10 [ p15( X, X ) ],
% 0.72/1.10 [ p17( X, X ) ],
% 0.72/1.10 [ p19( X, X ) ],
% 0.72/1.10 [ p2( X, X ) ],
% 0.72/1.10 [ p21( X, X ) ],
% 0.72/1.10 [ p23( X, X ) ],
% 0.72/1.10 [ p25( X, X ) ],
% 0.72/1.10 [ p27( X, X ) ],
% 0.72/1.10 [ p29( X, X ) ],
% 0.72/1.10 [ p3( X, X ) ],
% 0.72/1.10 [ p31( X, X ) ],
% 0.72/1.10 [ p33( X, X ) ],
% 0.72/1.10 [ p35( X, X ) ],
% 0.72/1.10 [ p37( X, X ) ],
% 0.72/1.10 [ p39( X, X ) ],
% 0.72/1.10 [ p4( X, X ) ],
% 0.72/1.10 [ p41( X, X ) ],
% 0.72/1.10 [ p43( X, X ) ],
% 0.72/1.10 [ p45( X, X ) ],
% 0.72/1.10 [ p6( X, X ) ],
% 0.72/1.10 [ p7( X, X ) ],
% 0.72/1.10 [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ],
% 0.72/1.10 [ p9( X, Y ), ~( p9( Z, X ) ), ~( p9( Z, Y ) ) ],
% 0.72/1.10 [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 0.72/1.10 [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ],
% 0.72/1.10 [ p45( X, Y ), ~( p45( Z, X ) ), ~( p45( Z, Y ) ) ],
% 0.72/1.10 [ p43( X, Y ), ~( p43( Z, X ) ), ~( p43( Z, Y ) ) ],
% 0.72/1.10 [ p41( X, Y ), ~( p41( Z, X ) ), ~( p41( Z, Y ) ) ],
% 0.72/1.10 [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ],
% 0.72/1.10 [ p39( X, Y ), ~( p39( Z, X ) ), ~( p39( Z, Y ) ) ],
% 0.72/1.10 [ p37( X, Y ), ~( p37( Z, X ) ), ~( p37( Z, Y ) ) ],
% 0.72/1.10 [ p35( X, Y ), ~( p35( Z, X ) ), ~( p35( Z, Y ) ) ],
% 0.72/1.10 [ p33( X, Y ), ~( p33( Z, X ) ), ~( p33( Z, Y ) ) ],
% 0.72/1.10 [ p31( X, Y ), ~( p31( Z, X ) ), ~( p31( Z, Y ) ) ],
% 0.72/1.10 [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 0.72/1.10 [ p29( X, Y ), ~( p29( Z, X ) ), ~( p29( Z, Y ) ) ],
% 0.72/1.10 [ p27( X, Y ), ~( p27( Z, X ) ), ~( p27( Z, Y ) ) ],
% 0.72/1.10 [ p25( X, Y ), ~( p25( Z, X ) ), ~( p25( Z, Y ) ) ],
% 0.72/1.10 [ p23( X, Y ), ~( p23( Z, X ) ), ~( p23( Z, Y ) ) ],
% 0.72/1.10 [ p21( X, Y ), ~( p21( Z, X ) ), ~( p21( Z, Y ) ) ],
% 0.72/1.10 [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.72/1.10 [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ],
% 0.72/1.10 [ p17( X, Y ), ~( p17( Z, X ) ), ~( p17( Z, Y ) ) ],
% 0.72/1.10 [ p15( X, Y ), ~( p15( Z, X ) ), ~( p15( Z, Y ) ) ],
% 0.72/1.10 [ p14( X, Y ), ~( p14( Z, X ) ), ~( p14( Z, Y ) ) ],
% 0.72/1.10 [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ],
% 0.72/1.10 [ ~( p47( f5( c48, f8( f11( f13( c49, c50 ), c51 ), c52 ) ), c53 ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ ~( p47( f20( f22( f24( f26( c56, X ), Y ), Z ), T ), T ) ) ],
% 0.72/1.10 [ p47( X, Y ), ~( p4( Z, X ) ), ~( p47( Z, T ) ), ~( p15( T, Y ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ p10( f30( X, Y ), f30( Z, T ) ), ~( p15( Y, T ) ), ~( p29( X, Z ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ p9( f13( X, Y ), f13( Z, T ) ), ~( p12( X, Z ) ), ~( p4( Y, T ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ p7( f40( X, Y ), f40( Z, T ) ), ~( p15( Y, T ) ), ~( p39( X, Z ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ p6( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p9( X, Z ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ p43( f46( X, Y ), f46( Z, T ) ), ~( p4( Y, T ) ), ~( p45( X, Z ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ p41( f44( X, Y ), f44( Z, T ) ), ~( p10( Y, T ) ), ~( p43( X, Z ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ p4( f5( X, Y ), f5( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y, T ) ) ],
% 0.72/1.10 [ p4( f20( X, Y ), f20( Z, T ) ), ~( p15( Y, T ) ), ~( p19( X, Z ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ p39( f42( X, Y ), f42( Z, T ) ), ~( p41( X, Z ) ), ~( p7( Y, T ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ p37( f38( X, Y ), f38( Z, T ) ), ~( p15( Y, T ) ), ~( p7( X, Z ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ p33( f36( X, Y ), f36( Z, T ) ), ~( p35( X, Z ) ), ~( p4( Y, T ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ p31( f34( X, Y ), f34( Z, T ) ), ~( p10( Y, T ) ), ~( p33( X, Z ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ p3( f8( X, Y ), f8( Z, T ) ), ~( p6( X, Z ) ), ~( p7( Y, T ) ) ],
% 0.72/1.10 [ p3( f16( X, Y ), f16( Z, T ) ), ~( p14( X, Z ) ), ~( p15( Y, T ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ p29( f32( X, Y ), f32( Z, T ) ), ~( p31( X, Z ) ), ~( p7( Y, T ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ p27( f28( X, Y ), f28( Z, T ) ), ~( p10( X, Z ) ), ~( p15( Y, T ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ p23( f26( X, Y ), f26( Z, T ) ), ~( p25( X, Z ) ), ~( p4( Y, T ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ p21( f24( X, Y ), f24( Z, T ) ), ~( p10( Y, T ) ), ~( p23( X, Z ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ p19( f22( X, Y ), f22( Z, T ) ), ~( p21( X, Z ) ), ~( p7( Y, T ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ p14( f18( X, Y ), f18( Z, T ) ), ~( p17( X, Z ) ), ~( p3( Y, T ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ p47( X, Y ), ~( p47( f5( c48, f8( f11( f13( c49, X ), Z ), T ) ), Y )
% 0.72/1.10 ) ],
% 0.72/1.10 [ p47( X, Y ), ~( p47( f20( f22( f24( f26( c56, X ), Z ), T ), U ), Y )
% 0.72/1.10 ) ],
% 0.72/1.10 [ p47( f5( c48, f8( f11( f13( c49, X ), Y ), Z ) ), T ), ~( p47( X, T )
% 0.72/1.10 ) ],
% 0.72/1.10 [ p47( f5( c48, f16( f18( c54, f8( f11( f13( c49, c50 ), c51 ), c52 ) )
% 0.72/1.10 , c55 ) ), c53 ) ],
% 0.72/1.10 [ p27( f28( f30( f32( f34( f36( c57, X ), Y ), Z ), T ), U ), f28( Y, U
% 0.72/1.10 ) ), ~( p47( f20( f22( f24( f26( c56, X ), Y ), Z ), T ), U ) ) ],
% 0.72/1.10 [ p37( f38( f40( f42( f44( f46( c58, X ), Y ), Z ), T ), U ), f38( Z, U
% 0.72/1.10 ) ), ~( p47( f20( f22( f24( f26( c56, X ), Y ), Z ), T ), U ) ) ],
% 0.72/1.10 [ p3( f16( f18( c54, f8( f11( f13( c49, X ), Y ), Z ) ), T ), f8( f11(
% 0.72/1.10 f13( c49, f20( f22( f24( f26( c56, X ), Y ), Z ), T ) ), f30( f32( f34(
% 0.72/1.10 f36( c57, X ), Y ), Z ), T ) ), f40( f42( f44( f46( c58, X ), Y ), Z ), T
% 0.72/1.10 ) ) ) ]
% 0.72/1.10 ] .
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 percentage equality = 0.000000, percentage horn = 1.000000
% 0.72/1.10 This is a near-Horn, non-equality problem
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Options Used:
% 0.72/1.10
% 0.72/1.10 useres = 1
% 0.72/1.10 useparamod = 0
% 0.72/1.10 useeqrefl = 0
% 0.72/1.10 useeqfact = 0
% 0.72/1.10 usefactor = 1
% 0.72/1.10 usesimpsplitting = 0
% 0.72/1.10 usesimpdemod = 0
% 0.72/1.10 usesimpres = 4
% 0.72/1.10
% 0.72/1.10 resimpinuse = 1000
% 0.72/1.10 resimpclauses = 20000
% 0.72/1.10 substype = standard
% 0.72/1.10 backwardsubs = 1
% 0.72/1.10 selectoldest = 5
% 0.72/1.10
% 0.72/1.10 litorderings [0] = split
% 0.72/1.10 litorderings [1] = liftord
% 0.72/1.10
% 0.72/1.10 termordering = none
% 0.72/1.10
% 0.72/1.10 litapriori = 1
% 0.72/1.10 termapriori = 0
% 0.72/1.10 litaposteriori = 0
% 0.72/1.10 termaposteriori = 0
% 0.72/1.10 demodaposteriori = 0
% 0.72/1.10 ordereqreflfact = 0
% 0.72/1.10
% 0.72/1.10 litselect = negative
% 0.72/1.10
% 0.72/1.10 maxweight = 30000
% 0.72/1.10 maxdepth = 30000
% 0.72/1.10 maxlength = 115
% 0.72/1.10 maxnrvars = 195
% 0.72/1.10 excuselevel = 0
% 0.72/1.10 increasemaxweight = 0
% 0.72/1.10
% 0.72/1.10 maxselected = 10000000
% 0.72/1.10 maxnrclauses = 10000000
% 0.72/1.10
% 0.72/1.10 showgenerated = 0
% 0.72/1.10 showkept = 0
% 0.72/1.10 showselected = 0
% 0.72/1.10 showdeleted = 0
% 0.72/1.10 showresimp = 1
% 0.72/1.10 showstatus = 2000
% 0.72/1.10
% 0.72/1.10 prologoutput = 1
% 0.72/1.10 nrgoals = 5000000
% 0.72/1.10 totalproof = 1
% 0.72/1.10
% 0.72/1.10 Symbols occurring in the translation:
% 0.72/1.10
% 0.72/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.10 . [1, 2] (w:1, o:193, a:1, s:1, b:0),
% 0.72/1.10 ! [4, 1] (w:1, o:188, a:1, s:1, b:0),
% 0.72/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.10 p9 [40, 2] (w:1, o:218, a:1, s:1, b:0),
% 0.72/1.10 p10 [42, 2] (w:1, o:219, a:1, s:1, b:0),
% 0.72/1.10 p12 [44, 2] (w:1, o:220, a:1, s:1, b:0),
% 0.72/1.10 p14 [46, 2] (w:1, o:221, a:1, s:1, b:0),
% 0.72/1.10 p15 [48, 2] (w:1, o:222, a:1, s:1, b:0),
% 0.72/1.10 p17 [50, 2] (w:1, o:223, a:1, s:1, b:0),
% 0.72/1.10 p19 [52, 2] (w:1, o:224, a:1, s:1, b:0),
% 0.72/1.10 p2 [54, 2] (w:1, o:225, a:1, s:1, b:0),
% 0.72/1.10 p21 [56, 2] (w:1, o:226, a:1, s:1, b:0),
% 0.72/1.10 p23 [58, 2] (w:1, o:227, a:1, s:1, b:0),
% 0.72/1.10 p25 [60, 2] (w:1, o:228, a:1, s:1, b:0),
% 0.72/1.10 p27 [62, 2] (w:1, o:229, a:1, s:1, b:0),
% 0.72/1.10 p29 [64, 2] (w:1, o:230, a:1, s:1, b:0),
% 0.72/1.10 p3 [66, 2] (w:1, o:231, a:1, s:1, b:0),
% 0.72/1.10 p31 [68, 2] (w:1, o:232, a:1, s:1, b:0),
% 0.72/1.10 p33 [70, 2] (w:1, o:233, a:1, s:1, b:0),
% 0.72/1.10 p35 [72, 2] (w:1, o:234, a:1, s:1, b:0),
% 0.72/1.10 p37 [74, 2] (w:1, o:235, a:1, s:1, b:0),
% 0.72/1.10 p39 [76, 2] (w:1, o:236, a:1, s:1, b:0),
% 0.72/1.10 p4 [78, 2] (w:1, o:237, a:1, s:1, b:0),
% 0.72/1.10 p41 [80, 2] (w:1, o:238, a:1, s:1, b:0),
% 0.72/1.10 p43 [82, 2] (w:1, o:239, a:1, s:1, b:0),
% 0.72/1.10 p45 [84, 2] (w:1, o:240, a:1, s:1, b:0),
% 0.72/1.10 p6 [86, 2] (w:1, o:241, a:1, s:1, b:0),
% 0.72/1.10 p7 [88, 2] (w:1, o:242, a:1, s:1, b:0),
% 0.72/1.10 c48 [139, 0] (w:1, o:174, a:1, s:1, b:0),
% 0.72/1.10 c49 [140, 0] (w:1, o:175, a:1, s:1, b:0),
% 0.72/1.10 c50 [141, 0] (w:1, o:176, a:1, s:1, b:0),
% 0.72/1.10 f13 [142, 2] (w:1, o:243, a:1, s:1, b:0),
% 0.72/1.10 c51 [143, 0] (w:1, o:177, a:1, s:1, b:0),
% 0.72/1.10 f11 [144, 2] (w:1, o:244, a:1, s:1, b:0),
% 0.72/1.10 c52 [145, 0] (w:1, o:178, a:1, s:1, b:0),
% 0.72/1.10 f8 [146, 2] (w:1, o:245, a:1, s:1, b:0),
% 0.72/1.10 f5 [147, 2] (w:1, o:256, a:1, s:1, b:0),
% 0.72/1.10 c53 [148, 0] (w:1, o:179, a:1, s:1, b:0),
% 0.72/1.10 p47 [149, 2] (w:1, o:257, a:1, s:1, b:0),
% 0.72/1.10 c56 [150, 0] (w:1, o:181, a:1, s:1, b:0),
% 0.72/1.10 f26 [152, 2] (w:1, o:259, a:1, s:1, b:0),
% 0.72/1.10 f24 [154, 2] (w:1, o:260, a:1, s:1, b:0),
% 0.72/1.10 f22 [156, 2] (w:1, o:261, a:1, s:1, b:0),
% 0.72/1.10 f20 [158, 2] (w:1, o:262, a:1, s:1, b:0),
% 0.72/1.10 f30 [165, 2] (w:1, o:263, a:1, s:1, b:0),
% 0.72/1.10 f40 [174, 2] (w:1, o:252, a:1, s:1, b:0),
% 0.72/1.10 f46 [183, 2] (w:1, o:253, a:1, s:1, b:0),
% 0.72/1.10 f44 [188, 2] (w:1, o:254, a:1, s:1, b:0),
% 0.72/1.10 f42 [201, 2] (w:1, o:255, a:1, s:1, b:0),
% 0.72/1.10 f38 [206, 2] (w:1, o:248, a:1, s:1, b:0),
% 0.72/1.10 f36 [211, 2] (w:1, o:249, a:1, s:1, b:0),
% 0.72/1.10 f34 [216, 2] (w:1, o:250, a:1, s:1, b:0),
% 0.72/1.10 f16 [225, 2] (w:1, o:258, a:1, s:1, b:0),
% 0.72/1.10 f32 [230, 2] (w:1, o:251, a:1, s:1, b:0),
% 0.72/1.10 f28 [235, 2] (w:1, o:247, a:1, s:1, b:0),
% 0.72/1.10 f18 [252, 2] (w:1, o:246, a:1, s:1, b:0),
% 0.72/1.10 c54 [260, 0] (w:1, o:185, a:1, s:1, b:0),
% 0.72/1.10 c55 [261, 0] (w:1, o:180, a:1, s:1, b:0),
% 0.72/1.10 c57 [262, 0] (w:1, o:186, a:1, s:1, b:0),
% 0.72/1.10 c58 [263, 0] (w:1, o:187, a:1, s:1, b:0).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Starting Search:
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Bliksems!, er is een bewijs:
% 0.72/1.10 % SZS status Unsatisfiable
% 0.72/1.10 % SZS output start Refutation
% 0.72/1.10
% 0.72/1.10 clause( 4, [ p15( X, X ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 7, [ p2( X, X ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 50, [ ~( p47( f5( c48, f8( f11( f13( c49, c50 ), c51 ), c52 ) ),
% 0.72/1.10 c53 ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 52, [ ~( p4( Z, X ) ), ~( p47( Z, T ) ), p47( X, Y ), ~( p15( T, Y
% 0.72/1.10 ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 59, [ p4( f5( X, Y ), f5( Z, T ) ), ~( p3( Y, T ) ), ~( p2( X, Z )
% 0.72/1.10 ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 73, [ p47( X, Y ), ~( p47( f5( c48, f8( f11( f13( c49, X ), Z ), T
% 0.72/1.10 ) ), Y ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 74, [ p47( X, Y ), ~( p47( f20( f22( f24( f26( c56, X ), Z ), T ),
% 0.72/1.10 U ), Y ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 75, [ p47( f5( c48, f8( f11( f13( c49, X ), Y ), Z ) ), T ), ~( p47(
% 0.72/1.10 X, T ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 76, [ p47( f5( c48, f16( f18( c54, f8( f11( f13( c49, c50 ), c51 )
% 0.72/1.10 , c52 ) ), c55 ) ), c53 ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 79, [ p3( f16( f18( c54, f8( f11( f13( c49, X ), Y ), Z ) ), T ),
% 0.72/1.10 f8( f11( f13( c49, f20( f22( f24( f26( c56, X ), Y ), Z ), T ) ), f30(
% 0.72/1.10 f32( f34( f36( c57, X ), Y ), Z ), T ) ), f40( f42( f44( f46( c58, X ), Y
% 0.72/1.10 ), Z ), T ) ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 105, [ ~( p47( X, Z ) ), p47( Y, Z ), ~( p4( X, Y ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 122, [ p4( f5( X, Y ), f5( X, Z ) ), ~( p3( Y, Z ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 130, [ p4( f5( X, f16( f18( c54, f8( f11( f13( c49, Y ), Z ), T ) )
% 0.72/1.10 , U ) ), f5( X, f8( f11( f13( c49, f20( f22( f24( f26( c56, Y ), Z ), T )
% 0.72/1.10 , U ) ), f30( f32( f34( f36( c57, Y ), Z ), T ), U ) ), f40( f42( f44(
% 0.72/1.10 f46( c58, Y ), Z ), T ), U ) ) ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 150, [ p47( f5( X, f8( f11( f13( c49, f20( f22( f24( f26( c56, Y )
% 0.72/1.10 , Z ), T ), U ) ), f30( f32( f34( f36( c57, Y ), Z ), T ), U ) ), f40(
% 0.72/1.10 f42( f44( f46( c58, Y ), Z ), T ), U ) ) ), W ), ~( p47( f5( X, f16( f18(
% 0.72/1.10 c54, f8( f11( f13( c49, Y ), Z ), T ) ), U ) ), W ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 154, [ p47( f5( c48, f8( f11( f13( c49, f20( f22( f24( f26( c56,
% 0.72/1.10 c50 ), c51 ), c52 ), c55 ) ), f30( f32( f34( f36( c57, c50 ), c51 ), c52
% 0.72/1.10 ), c55 ) ), f40( f42( f44( f46( c58, c50 ), c51 ), c52 ), c55 ) ) ), c53
% 0.72/1.10 ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 156, [ p47( f20( f22( f24( f26( c56, c50 ), c51 ), c52 ), c55 ),
% 0.72/1.10 c53 ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 161, [ p47( c50, c53 ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 162, [ p47( f5( c48, f8( f11( f13( c49, c50 ), X ), Y ) ), c53 ) ]
% 0.72/1.10 )
% 0.72/1.10 .
% 0.72/1.10 clause( 164, [] )
% 0.72/1.10 .
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 % SZS output end Refutation
% 0.72/1.10 found a proof!
% 0.72/1.10
% 0.72/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.10
% 0.72/1.10 initialclauses(
% 0.72/1.10 [ clause( 166, [ p9( X, X ) ] )
% 0.72/1.10 , clause( 167, [ p10( X, X ) ] )
% 0.72/1.10 , clause( 168, [ p12( X, X ) ] )
% 0.72/1.10 , clause( 169, [ p14( X, X ) ] )
% 0.72/1.10 , clause( 170, [ p15( X, X ) ] )
% 0.72/1.10 , clause( 171, [ p17( X, X ) ] )
% 0.72/1.10 , clause( 172, [ p19( X, X ) ] )
% 0.72/1.10 , clause( 173, [ p2( X, X ) ] )
% 0.72/1.10 , clause( 174, [ p21( X, X ) ] )
% 0.72/1.10 , clause( 175, [ p23( X, X ) ] )
% 0.72/1.10 , clause( 176, [ p25( X, X ) ] )
% 0.72/1.10 , clause( 177, [ p27( X, X ) ] )
% 0.72/1.10 , clause( 178, [ p29( X, X ) ] )
% 0.72/1.10 , clause( 179, [ p3( X, X ) ] )
% 0.72/1.10 , clause( 180, [ p31( X, X ) ] )
% 0.72/1.10 , clause( 181, [ p33( X, X ) ] )
% 0.72/1.10 , clause( 182, [ p35( X, X ) ] )
% 0.72/1.10 , clause( 183, [ p37( X, X ) ] )
% 0.72/1.10 , clause( 184, [ p39( X, X ) ] )
% 0.72/1.10 , clause( 185, [ p4( X, X ) ] )
% 0.72/1.10 , clause( 186, [ p41( X, X ) ] )
% 0.72/1.10 , clause( 187, [ p43( X, X ) ] )
% 0.72/1.10 , clause( 188, [ p45( X, X ) ] )
% 0.72/1.10 , clause( 189, [ p6( X, X ) ] )
% 0.72/1.10 , clause( 190, [ p7( X, X ) ] )
% 0.72/1.10 , clause( 191, [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ] )
% 0.72/1.10 , clause( 192, [ p9( X, Y ), ~( p9( Z, X ) ), ~( p9( Z, Y ) ) ] )
% 0.72/1.10 , clause( 193, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 0.72/1.10 , clause( 194, [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ] )
% 0.72/1.10 , clause( 195, [ p45( X, Y ), ~( p45( Z, X ) ), ~( p45( Z, Y ) ) ] )
% 0.72/1.10 , clause( 196, [ p43( X, Y ), ~( p43( Z, X ) ), ~( p43( Z, Y ) ) ] )
% 0.72/1.10 , clause( 197, [ p41( X, Y ), ~( p41( Z, X ) ), ~( p41( Z, Y ) ) ] )
% 0.72/1.10 , clause( 198, [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ] )
% 0.72/1.10 , clause( 199, [ p39( X, Y ), ~( p39( Z, X ) ), ~( p39( Z, Y ) ) ] )
% 0.72/1.10 , clause( 200, [ p37( X, Y ), ~( p37( Z, X ) ), ~( p37( Z, Y ) ) ] )
% 0.72/1.10 , clause( 201, [ p35( X, Y ), ~( p35( Z, X ) ), ~( p35( Z, Y ) ) ] )
% 0.72/1.10 , clause( 202, [ p33( X, Y ), ~( p33( Z, X ) ), ~( p33( Z, Y ) ) ] )
% 0.72/1.10 , clause( 203, [ p31( X, Y ), ~( p31( Z, X ) ), ~( p31( Z, Y ) ) ] )
% 0.72/1.10 , clause( 204, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.72/1.10 , clause( 205, [ p29( X, Y ), ~( p29( Z, X ) ), ~( p29( Z, Y ) ) ] )
% 0.72/1.10 , clause( 206, [ p27( X, Y ), ~( p27( Z, X ) ), ~( p27( Z, Y ) ) ] )
% 0.72/1.10 , clause( 207, [ p25( X, Y ), ~( p25( Z, X ) ), ~( p25( Z, Y ) ) ] )
% 0.72/1.10 , clause( 208, [ p23( X, Y ), ~( p23( Z, X ) ), ~( p23( Z, Y ) ) ] )
% 0.72/1.10 , clause( 209, [ p21( X, Y ), ~( p21( Z, X ) ), ~( p21( Z, Y ) ) ] )
% 0.72/1.10 , clause( 210, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.72/1.10 , clause( 211, [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ] )
% 0.72/1.10 , clause( 212, [ p17( X, Y ), ~( p17( Z, X ) ), ~( p17( Z, Y ) ) ] )
% 0.72/1.10 , clause( 213, [ p15( X, Y ), ~( p15( Z, X ) ), ~( p15( Z, Y ) ) ] )
% 0.72/1.10 , clause( 214, [ p14( X, Y ), ~( p14( Z, X ) ), ~( p14( Z, Y ) ) ] )
% 0.72/1.10 , clause( 215, [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ] )
% 0.72/1.10 , clause( 216, [ ~( p47( f5( c48, f8( f11( f13( c49, c50 ), c51 ), c52 ) )
% 0.72/1.10 , c53 ) ) ] )
% 0.72/1.10 , clause( 217, [ ~( p47( f20( f22( f24( f26( c56, X ), Y ), Z ), T ), T ) )
% 0.72/1.10 ] )
% 0.72/1.10 , clause( 218, [ p47( X, Y ), ~( p4( Z, X ) ), ~( p47( Z, T ) ), ~( p15( T
% 0.72/1.10 , Y ) ) ] )
% 0.72/1.10 , clause( 219, [ p10( f30( X, Y ), f30( Z, T ) ), ~( p15( Y, T ) ), ~( p29(
% 0.72/1.10 X, Z ) ) ] )
% 0.72/1.10 , clause( 220, [ p9( f13( X, Y ), f13( Z, T ) ), ~( p12( X, Z ) ), ~( p4( Y
% 0.72/1.10 , T ) ) ] )
% 0.72/1.10 , clause( 221, [ p7( f40( X, Y ), f40( Z, T ) ), ~( p15( Y, T ) ), ~( p39(
% 0.72/1.10 X, Z ) ) ] )
% 0.72/1.10 , clause( 222, [ p6( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p9( X
% 0.72/1.10 , Z ) ) ] )
% 0.72/1.10 , clause( 223, [ p43( f46( X, Y ), f46( Z, T ) ), ~( p4( Y, T ) ), ~( p45(
% 0.72/1.10 X, Z ) ) ] )
% 0.72/1.10 , clause( 224, [ p41( f44( X, Y ), f44( Z, T ) ), ~( p10( Y, T ) ), ~( p43(
% 0.72/1.10 X, Z ) ) ] )
% 0.72/1.10 , clause( 225, [ p4( f5( X, Y ), f5( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y, T
% 0.72/1.10 ) ) ] )
% 0.72/1.10 , clause( 226, [ p4( f20( X, Y ), f20( Z, T ) ), ~( p15( Y, T ) ), ~( p19(
% 0.72/1.10 X, Z ) ) ] )
% 0.72/1.10 , clause( 227, [ p39( f42( X, Y ), f42( Z, T ) ), ~( p41( X, Z ) ), ~( p7(
% 0.72/1.10 Y, T ) ) ] )
% 0.72/1.10 , clause( 228, [ p37( f38( X, Y ), f38( Z, T ) ), ~( p15( Y, T ) ), ~( p7(
% 0.72/1.10 X, Z ) ) ] )
% 0.72/1.10 , clause( 229, [ p33( f36( X, Y ), f36( Z, T ) ), ~( p35( X, Z ) ), ~( p4(
% 0.72/1.10 Y, T ) ) ] )
% 0.72/1.10 , clause( 230, [ p31( f34( X, Y ), f34( Z, T ) ), ~( p10( Y, T ) ), ~( p33(
% 0.72/1.10 X, Z ) ) ] )
% 0.72/1.10 , clause( 231, [ p3( f8( X, Y ), f8( Z, T ) ), ~( p6( X, Z ) ), ~( p7( Y, T
% 0.72/1.10 ) ) ] )
% 0.72/1.10 , clause( 232, [ p3( f16( X, Y ), f16( Z, T ) ), ~( p14( X, Z ) ), ~( p15(
% 0.72/1.10 Y, T ) ) ] )
% 0.72/1.10 , clause( 233, [ p29( f32( X, Y ), f32( Z, T ) ), ~( p31( X, Z ) ), ~( p7(
% 0.72/1.10 Y, T ) ) ] )
% 0.72/1.10 , clause( 234, [ p27( f28( X, Y ), f28( Z, T ) ), ~( p10( X, Z ) ), ~( p15(
% 0.72/1.10 Y, T ) ) ] )
% 0.72/1.10 , clause( 235, [ p23( f26( X, Y ), f26( Z, T ) ), ~( p25( X, Z ) ), ~( p4(
% 0.72/1.10 Y, T ) ) ] )
% 0.72/1.10 , clause( 236, [ p21( f24( X, Y ), f24( Z, T ) ), ~( p10( Y, T ) ), ~( p23(
% 0.72/1.10 X, Z ) ) ] )
% 0.72/1.10 , clause( 237, [ p19( f22( X, Y ), f22( Z, T ) ), ~( p21( X, Z ) ), ~( p7(
% 0.72/1.10 Y, T ) ) ] )
% 0.72/1.10 , clause( 238, [ p14( f18( X, Y ), f18( Z, T ) ), ~( p17( X, Z ) ), ~( p3(
% 0.72/1.10 Y, T ) ) ] )
% 0.72/1.10 , clause( 239, [ p47( X, Y ), ~( p47( f5( c48, f8( f11( f13( c49, X ), Z )
% 0.72/1.10 , T ) ), Y ) ) ] )
% 0.72/1.10 , clause( 240, [ p47( X, Y ), ~( p47( f20( f22( f24( f26( c56, X ), Z ), T
% 0.72/1.10 ), U ), Y ) ) ] )
% 0.72/1.10 , clause( 241, [ p47( f5( c48, f8( f11( f13( c49, X ), Y ), Z ) ), T ), ~(
% 0.72/1.10 p47( X, T ) ) ] )
% 0.72/1.10 , clause( 242, [ p47( f5( c48, f16( f18( c54, f8( f11( f13( c49, c50 ), c51
% 0.72/1.10 ), c52 ) ), c55 ) ), c53 ) ] )
% 0.72/1.10 , clause( 243, [ p27( f28( f30( f32( f34( f36( c57, X ), Y ), Z ), T ), U )
% 0.72/1.10 , f28( Y, U ) ), ~( p47( f20( f22( f24( f26( c56, X ), Y ), Z ), T ), U )
% 0.72/1.10 ) ] )
% 0.72/1.10 , clause( 244, [ p37( f38( f40( f42( f44( f46( c58, X ), Y ), Z ), T ), U )
% 0.72/1.10 , f38( Z, U ) ), ~( p47( f20( f22( f24( f26( c56, X ), Y ), Z ), T ), U )
% 0.72/1.10 ) ] )
% 0.72/1.10 , clause( 245, [ p3( f16( f18( c54, f8( f11( f13( c49, X ), Y ), Z ) ), T )
% 0.72/1.10 , f8( f11( f13( c49, f20( f22( f24( f26( c56, X ), Y ), Z ), T ) ), f30(
% 0.72/1.10 f32( f34( f36( c57, X ), Y ), Z ), T ) ), f40( f42( f44( f46( c58, X ), Y
% 0.72/1.10 ), Z ), T ) ) ) ] )
% 0.72/1.10 ] ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 4, [ p15( X, X ) ] )
% 0.72/1.10 , clause( 170, [ p15( X, X ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 7, [ p2( X, X ) ] )
% 0.72/1.10 , clause( 173, [ p2( X, X ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 50, [ ~( p47( f5( c48, f8( f11( f13( c49, c50 ), c51 ), c52 ) ),
% 0.72/1.10 c53 ) ) ] )
% 0.72/1.10 , clause( 216, [ ~( p47( f5( c48, f8( f11( f13( c49, c50 ), c51 ), c52 ) )
% 0.72/1.10 , c53 ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 52, [ ~( p4( Z, X ) ), ~( p47( Z, T ) ), p47( X, Y ), ~( p15( T, Y
% 0.72/1.10 ) ) ] )
% 0.72/1.10 , clause( 218, [ p47( X, Y ), ~( p4( Z, X ) ), ~( p47( Z, T ) ), ~( p15( T
% 0.72/1.10 , Y ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 3 )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 59, [ p4( f5( X, Y ), f5( Z, T ) ), ~( p3( Y, T ) ), ~( p2( X, Z )
% 0.72/1.10 ) ] )
% 0.72/1.10 , clause( 225, [ p4( f5( X, Y ), f5( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y, T
% 0.72/1.10 ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 73, [ p47( X, Y ), ~( p47( f5( c48, f8( f11( f13( c49, X ), Z ), T
% 0.72/1.10 ) ), Y ) ) ] )
% 0.72/1.10 , clause( 239, [ p47( X, Y ), ~( p47( f5( c48, f8( f11( f13( c49, X ), Z )
% 0.72/1.10 , T ) ), Y ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 74, [ p47( X, Y ), ~( p47( f20( f22( f24( f26( c56, X ), Z ), T ),
% 0.72/1.10 U ), Y ) ) ] )
% 0.72/1.10 , clause( 240, [ p47( X, Y ), ~( p47( f20( f22( f24( f26( c56, X ), Z ), T
% 0.72/1.10 ), U ), Y ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.10 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 75, [ p47( f5( c48, f8( f11( f13( c49, X ), Y ), Z ) ), T ), ~( p47(
% 0.72/1.10 X, T ) ) ] )
% 0.72/1.10 , clause( 241, [ p47( f5( c48, f8( f11( f13( c49, X ), Y ), Z ) ), T ), ~(
% 0.72/1.10 p47( X, T ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 76, [ p47( f5( c48, f16( f18( c54, f8( f11( f13( c49, c50 ), c51 )
% 0.72/1.10 , c52 ) ), c55 ) ), c53 ) ] )
% 0.72/1.10 , clause( 242, [ p47( f5( c48, f16( f18( c54, f8( f11( f13( c49, c50 ), c51
% 0.72/1.10 ), c52 ) ), c55 ) ), c53 ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 79, [ p3( f16( f18( c54, f8( f11( f13( c49, X ), Y ), Z ) ), T ),
% 0.72/1.10 f8( f11( f13( c49, f20( f22( f24( f26( c56, X ), Y ), Z ), T ) ), f30(
% 0.72/1.10 f32( f34( f36( c57, X ), Y ), Z ), T ) ), f40( f42( f44( f46( c58, X ), Y
% 0.72/1.10 ), Z ), T ) ) ) ] )
% 0.72/1.10 , clause( 245, [ p3( f16( f18( c54, f8( f11( f13( c49, X ), Y ), Z ) ), T )
% 0.72/1.10 , f8( f11( f13( c49, f20( f22( f24( f26( c56, X ), Y ), Z ), T ) ), f30(
% 0.72/1.10 f32( f34( f36( c57, X ), Y ), Z ), T ) ), f40( f42( f44( f46( c58, X ), Y
% 0.72/1.10 ), Z ), T ) ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 446, [ ~( p4( X, Y ) ), ~( p47( X, Z ) ), p47( Y, Z ) ] )
% 0.72/1.10 , clause( 52, [ ~( p4( Z, X ) ), ~( p47( Z, T ) ), p47( X, Y ), ~( p15( T,
% 0.72/1.10 Y ) ) ] )
% 0.72/1.10 , 3, clause( 4, [ p15( X, X ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, Z )] ),
% 0.72/1.10 substitution( 1, [ :=( X, Z )] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 105, [ ~( p47( X, Z ) ), p47( Y, Z ), ~( p4( X, Y ) ) ] )
% 0.72/1.10 , clause( 446, [ ~( p4( X, Y ) ), ~( p47( X, Z ) ), p47( Y, Z ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 447, [ p4( f5( X, Y ), f5( X, Z ) ), ~( p3( Y, Z ) ) ] )
% 0.72/1.10 , clause( 59, [ p4( f5( X, Y ), f5( Z, T ) ), ~( p3( Y, T ) ), ~( p2( X, Z
% 0.72/1.10 ) ) ] )
% 0.72/1.10 , 2, clause( 7, [ p2( X, X ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X ), :=( T, Z )] ),
% 0.72/1.10 substitution( 1, [ :=( X, X )] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 122, [ p4( f5( X, Y ), f5( X, Z ) ), ~( p3( Y, Z ) ) ] )
% 0.72/1.10 , clause( 447, [ p4( f5( X, Y ), f5( X, Z ) ), ~( p3( Y, Z ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 448, [ p4( f5( X, f16( f18( c54, f8( f11( f13( c49, Y ), Z ), T ) )
% 0.72/1.10 , U ) ), f5( X, f8( f11( f13( c49, f20( f22( f24( f26( c56, Y ), Z ), T )
% 0.72/1.10 , U ) ), f30( f32( f34( f36( c57, Y ), Z ), T ), U ) ), f40( f42( f44(
% 0.72/1.10 f46( c58, Y ), Z ), T ), U ) ) ) ) ] )
% 0.72/1.10 , clause( 122, [ p4( f5( X, Y ), f5( X, Z ) ), ~( p3( Y, Z ) ) ] )
% 0.72/1.10 , 1, clause( 79, [ p3( f16( f18( c54, f8( f11( f13( c49, X ), Y ), Z ) ), T
% 0.72/1.10 ), f8( f11( f13( c49, f20( f22( f24( f26( c56, X ), Y ), Z ), T ) ), f30(
% 0.72/1.10 f32( f34( f36( c57, X ), Y ), Z ), T ) ), f40( f42( f44( f46( c58, X ), Y
% 0.72/1.10 ), Z ), T ) ) ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, f16( f18( c54, f8( f11( f13( c49
% 0.72/1.10 , Y ), Z ), T ) ), U ) ), :=( Z, f8( f11( f13( c49, f20( f22( f24( f26(
% 0.72/1.10 c56, Y ), Z ), T ), U ) ), f30( f32( f34( f36( c57, Y ), Z ), T ), U ) )
% 0.72/1.10 , f40( f42( f44( f46( c58, Y ), Z ), T ), U ) ) )] ), substitution( 1, [
% 0.72/1.10 :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, U )] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 130, [ p4( f5( X, f16( f18( c54, f8( f11( f13( c49, Y ), Z ), T ) )
% 0.72/1.10 , U ) ), f5( X, f8( f11( f13( c49, f20( f22( f24( f26( c56, Y ), Z ), T )
% 0.72/1.10 , U ) ), f30( f32( f34( f36( c57, Y ), Z ), T ), U ) ), f40( f42( f44(
% 0.72/1.10 f46( c58, Y ), Z ), T ), U ) ) ) ) ] )
% 0.72/1.10 , clause( 448, [ p4( f5( X, f16( f18( c54, f8( f11( f13( c49, Y ), Z ), T )
% 0.72/1.10 ), U ) ), f5( X, f8( f11( f13( c49, f20( f22( f24( f26( c56, Y ), Z ), T
% 0.72/1.10 ), U ) ), f30( f32( f34( f36( c57, Y ), Z ), T ), U ) ), f40( f42( f44(
% 0.72/1.10 f46( c58, Y ), Z ), T ), U ) ) ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.10 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 449, [ ~( p47( f5( X, f16( f18( c54, f8( f11( f13( c49, Y ), Z ), T
% 0.72/1.10 ) ), U ) ), W ) ), p47( f5( X, f8( f11( f13( c49, f20( f22( f24( f26(
% 0.72/1.10 c56, Y ), Z ), T ), U ) ), f30( f32( f34( f36( c57, Y ), Z ), T ), U ) )
% 0.72/1.10 , f40( f42( f44( f46( c58, Y ), Z ), T ), U ) ) ), W ) ] )
% 0.72/1.10 , clause( 105, [ ~( p47( X, Z ) ), p47( Y, Z ), ~( p4( X, Y ) ) ] )
% 0.72/1.10 , 2, clause( 130, [ p4( f5( X, f16( f18( c54, f8( f11( f13( c49, Y ), Z ),
% 0.72/1.10 T ) ), U ) ), f5( X, f8( f11( f13( c49, f20( f22( f24( f26( c56, Y ), Z )
% 0.72/1.10 , T ), U ) ), f30( f32( f34( f36( c57, Y ), Z ), T ), U ) ), f40( f42(
% 0.72/1.10 f44( f46( c58, Y ), Z ), T ), U ) ) ) ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, f5( X, f16( f18( c54, f8( f11( f13( c49, Y )
% 0.72/1.10 , Z ), T ) ), U ) ) ), :=( Y, f5( X, f8( f11( f13( c49, f20( f22( f24(
% 0.72/1.10 f26( c56, Y ), Z ), T ), U ) ), f30( f32( f34( f36( c57, Y ), Z ), T ), U
% 0.72/1.10 ) ), f40( f42( f44( f46( c58, Y ), Z ), T ), U ) ) ) ), :=( Z, W )] ),
% 0.72/1.10 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.10 , U )] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 150, [ p47( f5( X, f8( f11( f13( c49, f20( f22( f24( f26( c56, Y )
% 0.72/1.10 , Z ), T ), U ) ), f30( f32( f34( f36( c57, Y ), Z ), T ), U ) ), f40(
% 0.72/1.10 f42( f44( f46( c58, Y ), Z ), T ), U ) ) ), W ), ~( p47( f5( X, f16( f18(
% 0.72/1.10 c54, f8( f11( f13( c49, Y ), Z ), T ) ), U ) ), W ) ) ] )
% 0.72/1.10 , clause( 449, [ ~( p47( f5( X, f16( f18( c54, f8( f11( f13( c49, Y ), Z )
% 0.72/1.10 , T ) ), U ) ), W ) ), p47( f5( X, f8( f11( f13( c49, f20( f22( f24( f26(
% 0.72/1.10 c56, Y ), Z ), T ), U ) ), f30( f32( f34( f36( c57, Y ), Z ), T ), U ) )
% 0.72/1.10 , f40( f42( f44( f46( c58, Y ), Z ), T ), U ) ) ), W ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.10 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 450, [ p47( f5( c48, f8( f11( f13( c49, f20( f22( f24( f26( c56,
% 0.72/1.10 c50 ), c51 ), c52 ), c55 ) ), f30( f32( f34( f36( c57, c50 ), c51 ), c52
% 0.72/1.10 ), c55 ) ), f40( f42( f44( f46( c58, c50 ), c51 ), c52 ), c55 ) ) ), c53
% 0.72/1.10 ) ] )
% 0.72/1.10 , clause( 150, [ p47( f5( X, f8( f11( f13( c49, f20( f22( f24( f26( c56, Y
% 0.72/1.10 ), Z ), T ), U ) ), f30( f32( f34( f36( c57, Y ), Z ), T ), U ) ), f40(
% 0.72/1.10 f42( f44( f46( c58, Y ), Z ), T ), U ) ) ), W ), ~( p47( f5( X, f16( f18(
% 0.72/1.10 c54, f8( f11( f13( c49, Y ), Z ), T ) ), U ) ), W ) ) ] )
% 0.72/1.10 , 1, clause( 76, [ p47( f5( c48, f16( f18( c54, f8( f11( f13( c49, c50 ),
% 0.72/1.10 c51 ), c52 ) ), c55 ) ), c53 ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, c48 ), :=( Y, c50 ), :=( Z, c51 ), :=( T,
% 0.72/1.10 c52 ), :=( U, c55 ), :=( W, c53 )] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 154, [ p47( f5( c48, f8( f11( f13( c49, f20( f22( f24( f26( c56,
% 0.72/1.10 c50 ), c51 ), c52 ), c55 ) ), f30( f32( f34( f36( c57, c50 ), c51 ), c52
% 0.72/1.10 ), c55 ) ), f40( f42( f44( f46( c58, c50 ), c51 ), c52 ), c55 ) ) ), c53
% 0.72/1.10 ) ] )
% 0.72/1.10 , clause( 450, [ p47( f5( c48, f8( f11( f13( c49, f20( f22( f24( f26( c56,
% 0.72/1.10 c50 ), c51 ), c52 ), c55 ) ), f30( f32( f34( f36( c57, c50 ), c51 ), c52
% 0.72/1.10 ), c55 ) ), f40( f42( f44( f46( c58, c50 ), c51 ), c52 ), c55 ) ) ), c53
% 0.72/1.10 ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 451, [ p47( f20( f22( f24( f26( c56, c50 ), c51 ), c52 ), c55 ),
% 0.72/1.10 c53 ) ] )
% 0.72/1.10 , clause( 73, [ p47( X, Y ), ~( p47( f5( c48, f8( f11( f13( c49, X ), Z ),
% 0.72/1.10 T ) ), Y ) ) ] )
% 0.72/1.10 , 1, clause( 154, [ p47( f5( c48, f8( f11( f13( c49, f20( f22( f24( f26(
% 0.72/1.10 c56, c50 ), c51 ), c52 ), c55 ) ), f30( f32( f34( f36( c57, c50 ), c51 )
% 0.72/1.10 , c52 ), c55 ) ), f40( f42( f44( f46( c58, c50 ), c51 ), c52 ), c55 ) ) )
% 0.72/1.10 , c53 ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, f20( f22( f24( f26( c56, c50 ), c51 ), c52 )
% 0.72/1.10 , c55 ) ), :=( Y, c53 ), :=( Z, f30( f32( f34( f36( c57, c50 ), c51 ),
% 0.72/1.10 c52 ), c55 ) ), :=( T, f40( f42( f44( f46( c58, c50 ), c51 ), c52 ), c55
% 0.72/1.10 ) )] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 156, [ p47( f20( f22( f24( f26( c56, c50 ), c51 ), c52 ), c55 ),
% 0.72/1.10 c53 ) ] )
% 0.72/1.10 , clause( 451, [ p47( f20( f22( f24( f26( c56, c50 ), c51 ), c52 ), c55 ),
% 0.72/1.10 c53 ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 452, [ p47( c50, c53 ) ] )
% 0.72/1.10 , clause( 74, [ p47( X, Y ), ~( p47( f20( f22( f24( f26( c56, X ), Z ), T )
% 0.72/1.10 , U ), Y ) ) ] )
% 0.72/1.10 , 1, clause( 156, [ p47( f20( f22( f24( f26( c56, c50 ), c51 ), c52 ), c55
% 0.72/1.10 ), c53 ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, c50 ), :=( Y, c53 ), :=( Z, c51 ), :=( T,
% 0.72/1.10 c52 ), :=( U, c55 )] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 161, [ p47( c50, c53 ) ] )
% 0.72/1.10 , clause( 452, [ p47( c50, c53 ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 453, [ p47( f5( c48, f8( f11( f13( c49, c50 ), X ), Y ) ), c53 ) ]
% 0.72/1.10 )
% 0.72/1.10 , clause( 75, [ p47( f5( c48, f8( f11( f13( c49, X ), Y ), Z ) ), T ), ~(
% 0.72/1.10 p47( X, T ) ) ] )
% 0.72/1.10 , 1, clause( 161, [ p47( c50, c53 ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, c50 ), :=( Y, X ), :=( Z, Y ), :=( T, c53 )] )
% 0.72/1.10 , substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 162, [ p47( f5( c48, f8( f11( f13( c49, c50 ), X ), Y ) ), c53 ) ]
% 0.72/1.10 )
% 0.72/1.10 , clause( 453, [ p47( f5( c48, f8( f11( f13( c49, c50 ), X ), Y ) ), c53 )
% 0.72/1.10 ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.10 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 454, [] )
% 0.72/1.10 , clause( 50, [ ~( p47( f5( c48, f8( f11( f13( c49, c50 ), c51 ), c52 ) ),
% 0.72/1.10 c53 ) ) ] )
% 0.72/1.10 , 0, clause( 162, [ p47( f5( c48, f8( f11( f13( c49, c50 ), X ), Y ) ), c53
% 0.72/1.10 ) ] )
% 0.72/1.10 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, c51 ), :=( Y, c52 )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 164, [] )
% 0.72/1.10 , clause( 454, [] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 end.
% 0.72/1.10
% 0.72/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.10
% 0.72/1.10 Memory use:
% 0.72/1.10
% 0.72/1.10 space for terms: 5053
% 0.72/1.10 space for clauses: 19891
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 clauses generated: 253
% 0.72/1.10 clauses kept: 165
% 0.72/1.10 clauses selected: 144
% 0.72/1.10 clauses deleted: 0
% 0.72/1.10 clauses inuse deleted: 0
% 0.72/1.10
% 0.72/1.10 subsentry: 192
% 0.72/1.10 literals s-matched: 96
% 0.72/1.10 literals matched: 96
% 0.72/1.10 full subsumption: 0
% 0.72/1.10
% 0.72/1.10 checksum: -926647456
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Bliksem ended
%------------------------------------------------------------------------------