TSTP Solution File: HWV052-1.002.002 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HWV052-1.002.002 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 : Sat Jul 16 13:12:33 EDT 2022
% Result : Unsatisfiable 42.17s 42.58s
% Output : Refutation 42.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HWV052-1.002.002 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Jun 17 07:05:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 42.17/42.58 *** allocated 10000 integers for termspace/termends
% 42.17/42.58 *** allocated 10000 integers for clauses
% 42.17/42.58 *** allocated 10000 integers for justifications
% 42.17/42.58 Bliksem 1.12
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 Automatic Strategy Selection
% 42.17/42.58
% 42.17/42.58 Clauses:
% 42.17/42.58 [
% 42.17/42.58 [ =( X, o ), =( X, i ) ],
% 42.17/42.58 [ ~( =( inv( X ), X ) ) ],
% 42.17/42.58 [ =( unpack1( X, Y, pack1( X, Y ), pack2( X, Y ) ), X ) ],
% 42.17/42.58 [ =( unpack1( inv( X ), Y, pack1( X, Y ), pack2( X, Y ) ), X ) ],
% 42.17/42.58 [ =( unpack1( X, inv( Y ), pack1( X, Y ), pack2( X, Y ) ), X ) ],
% 42.17/42.58 [ =( unpack1( X, Y, inv( pack1( X, Y ) ), pack2( X, Y ) ), X ) ],
% 42.17/42.58 [ =( unpack1( X, Y, pack1( X, Y ), inv( pack2( X, Y ) ) ), X ) ],
% 42.17/42.58 [ =( unpack2( X, Y, pack1( X, Y ), pack2( X, Y ) ), Y ) ],
% 42.17/42.58 [ =( unpack2( inv( X ), Y, pack1( X, Y ), pack2( X, Y ) ), Y ) ],
% 42.17/42.58 [ =( unpack2( X, inv( Y ), pack1( X, Y ), pack2( X, Y ) ), Y ) ],
% 42.17/42.58 [ =( unpack2( X, Y, inv( pack1( X, Y ) ), pack2( X, Y ) ), Y ) ],
% 42.17/42.58 [ =( unpack2( X, Y, pack1( X, Y ), inv( pack2( X, Y ) ) ), Y ) ]
% 42.17/42.58 ] .
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 percentage equality = 1.000000, percentage horn = 0.916667
% 42.17/42.58 This is a pure equality problem
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 Options Used:
% 42.17/42.58
% 42.17/42.58 useres = 1
% 42.17/42.58 useparamod = 1
% 42.17/42.58 useeqrefl = 1
% 42.17/42.58 useeqfact = 1
% 42.17/42.58 usefactor = 1
% 42.17/42.58 usesimpsplitting = 0
% 42.17/42.58 usesimpdemod = 5
% 42.17/42.58 usesimpres = 3
% 42.17/42.58
% 42.17/42.58 resimpinuse = 1000
% 42.17/42.58 resimpclauses = 20000
% 42.17/42.58 substype = eqrewr
% 42.17/42.58 backwardsubs = 1
% 42.17/42.58 selectoldest = 5
% 42.17/42.58
% 42.17/42.58 litorderings [0] = split
% 42.17/42.58 litorderings [1] = extend the termordering, first sorting on arguments
% 42.17/42.58
% 42.17/42.58 termordering = kbo
% 42.17/42.58
% 42.17/42.58 litapriori = 0
% 42.17/42.58 termapriori = 1
% 42.17/42.58 litaposteriori = 0
% 42.17/42.58 termaposteriori = 0
% 42.17/42.58 demodaposteriori = 0
% 42.17/42.58 ordereqreflfact = 0
% 42.17/42.58
% 42.17/42.58 litselect = negord
% 42.17/42.58
% 42.17/42.58 maxweight = 15
% 42.17/42.58 maxdepth = 30000
% 42.17/42.58 maxlength = 115
% 42.17/42.58 maxnrvars = 195
% 42.17/42.58 excuselevel = 1
% 42.17/42.58 increasemaxweight = 1
% 42.17/42.58
% 42.17/42.58 maxselected = 10000000
% 42.17/42.58 maxnrclauses = 10000000
% 42.17/42.58
% 42.17/42.58 showgenerated = 0
% 42.17/42.58 showkept = 0
% 42.17/42.58 showselected = 0
% 42.17/42.58 showdeleted = 0
% 42.17/42.58 showresimp = 1
% 42.17/42.58 showstatus = 2000
% 42.17/42.58
% 42.17/42.58 prologoutput = 1
% 42.17/42.58 nrgoals = 5000000
% 42.17/42.58 totalproof = 1
% 42.17/42.58
% 42.17/42.58 Symbols occurring in the translation:
% 42.17/42.58
% 42.17/42.58 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 42.17/42.58 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 42.17/42.58 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 42.17/42.58 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 42.17/42.58 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 42.17/42.58 o [40, 0] (w:1, o:7, a:1, s:1, b:0),
% 42.17/42.58 i [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 42.17/42.58 inv [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 42.17/42.58 pack1 [45, 2] (w:1, o:45, a:1, s:1, b:0),
% 42.17/42.58 pack2 [46, 2] (w:1, o:46, a:1, s:1, b:0),
% 42.17/42.58 unpack1 [47, 4] (w:1, o:47, a:1, s:1, b:0),
% 42.17/42.58 unpack2 [48, 4] (w:1, o:48, a:1, s:1, b:0).
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 Starting Search:
% 42.17/42.58
% 42.17/42.58 Resimplifying inuse:
% 42.17/42.58 Done
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 Intermediate Status:
% 42.17/42.58 Generated: 74635
% 42.17/42.58 Kept: 2062
% 42.17/42.58 Inuse: 138
% 42.17/42.58 Deleted: 123
% 42.17/42.58 Deletedinuse: 22
% 42.17/42.58
% 42.17/42.58 Resimplifying inuse:
% 42.17/42.58 Done
% 42.17/42.58
% 42.17/42.58 Resimplifying inuse:
% 42.17/42.58 Done
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 Intermediate Status:
% 42.17/42.58 Generated: 142579
% 42.17/42.58 Kept: 4132
% 42.17/42.58 Inuse: 217
% 42.17/42.58 Deleted: 242
% 42.17/42.58 Deletedinuse: 46
% 42.17/42.58
% 42.17/42.58 Resimplifying inuse:
% 42.17/42.58 Done
% 42.17/42.58
% 42.17/42.58 Resimplifying inuse:
% 42.17/42.58 Done
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 Intermediate Status:
% 42.17/42.58 Generated: 159798
% 42.17/42.58 Kept: 6202
% 42.17/42.58 Inuse: 231
% 42.17/42.58 Deleted: 260
% 42.17/42.58 Deletedinuse: 49
% 42.17/42.58
% 42.17/42.58 Resimplifying inuse:
% 42.17/42.58 Done
% 42.17/42.58
% 42.17/42.58 Resimplifying inuse:
% 42.17/42.58 Done
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 Intermediate Status:
% 42.17/42.58 Generated: 175471
% 42.17/42.58 Kept: 8256
% 42.17/42.58 Inuse: 244
% 42.17/42.58 Deleted: 270
% 42.17/42.58 Deletedinuse: 56
% 42.17/42.58
% 42.17/42.58 Resimplifying inuse:
% 42.17/42.58 Done
% 42.17/42.58
% 42.17/42.58 Resimplifying inuse:
% 42.17/42.58 Done
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 Intermediate Status:
% 42.17/42.58 Generated: 203915
% 42.17/42.58 Kept: 10267
% 42.17/42.58 Inuse: 272
% 42.17/42.58 Deleted: 310
% 42.17/42.58 Deletedinuse: 64
% 42.17/42.58
% 42.17/42.58 Resimplifying inuse:
% 42.17/42.58 Done
% 42.17/42.58
% 42.17/42.58 Resimplifying inuse:
% 42.17/42.58 Done
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 Intermediate Status:
% 42.17/42.58 Generated: 228212
% 42.17/42.58 Kept: 12289
% 42.17/42.58 Inuse: 286
% 42.17/42.58 Deleted: 361
% 42.17/42.58 Deletedinuse: 64
% 42.17/42.58
% 42.17/42.58 Resimplifying inuse:
% 42.17/42.58 Done
% 42.17/42.58
% 42.17/42.58 Resimplifying inuse:
% 42.17/42.58 Done
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 Intermediate Status:
% 42.17/42.58 Generated: 265196
% 42.17/42.58 Kept: 14358
% 42.17/42.58 Inuse: 305
% 42.17/42.58 Deleted: 376
% 42.17/42.58 Deletedinuse: 64
% 42.17/42.58
% 42.17/42.58 Resimplifying inuse:
% 42.17/42.58 Done
% 42.17/42.58
% 42.17/42.58 Resimplifying inuse:
% 42.17/42.58 Done
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 Intermediate Status:
% 42.17/42.58 Generated: 344832
% 42.17/42.58 Kept: 16396
% 42.17/42.58 Inuse: 342
% 42.17/42.58 Deleted: 419
% 42.17/42.58 Deletedinuse: 64
% 42.17/42.58
% 42.17/42.58 Resimplifying inuse:
% 42.17/42.58 Done
% 42.17/42.58
% 42.17/42.58 Resimplifying inuse:
% 42.17/42.58 Done
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 Intermediate Status:
% 42.17/42.58 Generated: 435107
% 42.17/42.58 Kept: 18495
% 42.17/42.58 Inuse: 390
% 42.17/42.58 Deleted: 445
% 42.17/42.58 Deletedinuse: 65
% 42.17/42.58
% 42.17/42.58 Resimplifying inuse:
% 42.17/42.58
% 42.17/42.58 Bliksems!, er is een bewijs:
% 42.17/42.58 % SZS status Unsatisfiable
% 42.17/42.58 % SZS output start Refutation
% 42.17/42.58
% 42.17/42.58 clause( 0, [ =( X, o ), =( X, i ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1, [ ~( =( inv( X ), X ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 2, [ =( unpack1( X, Y, pack1( X, Y ), pack2( X, Y ) ), X ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 3, [ =( unpack1( inv( X ), Y, pack1( X, Y ), pack2( X, Y ) ), X ) ]
% 42.17/42.58 )
% 42.17/42.58 .
% 42.17/42.58 clause( 4, [ =( unpack1( X, inv( Y ), pack1( X, Y ), pack2( X, Y ) ), X ) ]
% 42.17/42.58 )
% 42.17/42.58 .
% 42.17/42.58 clause( 5, [ =( unpack1( X, Y, inv( pack1( X, Y ) ), pack2( X, Y ) ), X ) ]
% 42.17/42.58 )
% 42.17/42.58 .
% 42.17/42.58 clause( 6, [ =( unpack1( X, Y, pack1( X, Y ), inv( pack2( X, Y ) ) ), X ) ]
% 42.17/42.58 )
% 42.17/42.58 .
% 42.17/42.58 clause( 7, [ =( unpack2( X, Y, pack1( X, Y ), pack2( X, Y ) ), Y ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 9, [ =( unpack2( X, inv( Y ), pack1( X, Y ), pack2( X, Y ) ), Y ) ]
% 42.17/42.58 )
% 42.17/42.58 .
% 42.17/42.58 clause( 10, [ =( unpack2( X, Y, inv( pack1( X, Y ) ), pack2( X, Y ) ), Y )
% 42.17/42.58 ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 11, [ =( unpack2( X, Y, pack1( X, Y ), inv( pack2( X, Y ) ) ), Y )
% 42.17/42.58 ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 12, [ ~( =( i, o ) ), =( X, i ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 15, [ ~( =( i, X ) ), ~( =( i, o ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 16, [ ~( =( i, o ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 17, [ =( Y, X ), =( Y, i ), =( X, i ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 19, [ ~( =( X, o ) ), =( X, o ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 20, [ ~( =( o, X ) ), =( inv( X ), i ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 21, [ ~( =( i, X ) ), =( inv( X ), o ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 22, [ =( inv( i ), o ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 23, [ =( inv( o ), i ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 28, [ ~( =( i, X ) ), =( X, i ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 29, [ ~( =( X, Y ) ), =( Y, X ), =( Y, i ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 33, [ =( inv( X ), i ), =( X, i ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 34, [ =( inv( X ), o ), =( X, o ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 44, [ =( Y, X ), =( Y, i ), ~( =( X, o ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 57, [ =( inv( Y ), X ), =( Y, X ), =( X, o ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 58, [ ~( =( inv( X ), o ) ), =( X, Y ), =( Y, o ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 59, [ ~( =( inv( X ), o ) ), =( inv( X ), Y ), =( X, Y ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 72, [ =( unpack1( i, X, pack1( o, X ), pack2( o, X ) ), o ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 95, [ ~( =( Y, X ) ), =( Y, i ), ~( =( inv( X ), o ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 234, [ ~( =( X, Y ) ), =( Y, X ), ~( =( Z, X ) ), =( X, Z ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 236, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 240, [ =( unpack1( X, Y, inv( Z ), pack2( X, Y ) ), X ), ~( =( Z,
% 42.17/42.58 pack1( X, Y ) ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 244, [ =( unpack1( X, inv( Y ), pack1( X, Y ), Z ), X ), ~( =( Z,
% 42.17/42.58 pack2( X, Y ) ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 246, [ =( unpack1( inv( X ), Y, Z, pack2( X, Y ) ), X ), ~( =( Z,
% 42.17/42.58 pack1( X, Y ) ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 247, [ =( unpack1( inv( X ), Y, pack1( X, Y ), Z ), X ), ~( =( Z,
% 42.17/42.58 pack2( X, Y ) ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 253, [ =( unpack1( X, Y, pack1( X, Y ), inv( Z ) ), X ), ~( =( Z,
% 42.17/42.58 pack2( X, Y ) ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 535, [ =( unpack2( X, Y, inv( Z ), pack2( X, Y ) ), Y ), ~( =( Z,
% 42.17/42.58 pack1( X, Y ) ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 615, [ =( unpack2( X, Y, pack1( X, Y ), inv( Z ) ), Y ), ~( =( Z,
% 42.17/42.58 pack2( X, Y ) ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 811, [ =( X, Y ), =( Y, o ), =( inv( inv( X ) ), o ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 818, [ =( inv( inv( X ) ), X ), =( inv( inv( X ) ), o ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 843, [ =( inv( Y ), X ), =( Y, X ), =( inv( Z ), X ), =( Z, X ) ]
% 42.17/42.58 )
% 42.17/42.58 .
% 42.17/42.58 clause( 844, [ ~( =( Y, X ) ), =( inv( inv( X ) ), Y ), =( Y, o ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 845, [ ~( =( inv( inv( X ) ), o ) ), ~( =( Y, X ) ), =( inv( inv( X
% 42.17/42.58 ) ), Y ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 846, [ =( inv( inv( X ) ), X ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 847, [ =( inv( X ), Y ), =( X, Y ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 855, [ =( inv( Y ), X ), ~( =( Y, inv( X ) ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 865, [ =( Y, Z ), =( X, Z ), =( X, Y ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 905, [ =( unpack2( X, Y, inv( Z ), pack2( X, Y ) ), Y ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 906, [ =( unpack2( X, Y, pack1( X, Y ), inv( Z ) ), Y ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 914, [ =( Y, Z ), =( X, Z ), ~( =( Y, inv( X ) ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 921, [ =( unpack1( X, Y, inv( Z ), pack2( X, Y ) ), X ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 922, [ =( unpack1( X, Y, pack1( X, Y ), inv( Z ) ), X ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1019, [ =( Y, Z ), =( X, Z ), =( T, Y ), =( T, inv( X ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1029, [ ~( =( X, Y ) ), =( Z, X ), =( Y, inv( Z ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1047, [ ~( =( X, Y ) ), =( Y, inv( Z ) ), =( Z, i ), ~( =( inv( X )
% 42.17/42.58 , o ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1073, [ =( X, inv( Y ) ), =( Y, i ), ~( =( inv( X ), o ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1074, [ =( X, i ), ~( =( inv( X ), o ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1114, [ =( X, i ), ~( =( Y, o ) ), =( Z, Y ), ~( =( inv( X ), inv(
% 42.17/42.58 Z ) ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1124, [ =( X, i ), =( Y, o ), ~( =( inv( X ), inv( Y ) ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1167, [ =( unpack2( Y, Z, X, pack2( Y, Z ) ), Z ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1203, [ =( unpack2( Y, Z, pack1( Y, Z ), X ), Z ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1239, [ =( unpack1( Y, Z, X, pack2( Y, Z ) ), Y ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1275, [ =( unpack1( Y, Z, pack1( Y, Z ), X ), Y ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1288, [ =( unpack1( X, Y, Z, T ), X ), ~( =( Z, pack1( X, Y ) ) ) ]
% 42.17/42.58 )
% 42.17/42.58 .
% 42.17/42.58 clause( 1491, [ ~( =( pack1( i, X ), pack1( o, X ) ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1492, [ ~( =( pack1( inv( X ), Y ), pack1( X, Y ) ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1586, [ ~( =( Y, pack1( o, X ) ) ), =( inv( pack1( i, X ) ), Y ) ]
% 42.17/42.58 )
% 42.17/42.58 .
% 42.17/42.58 clause( 1614, [ =( inv( pack1( i, X ) ), pack1( o, X ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1683, [ ~( =( Z, pack1( X, Y ) ) ), =( inv( Z ), pack1( inv( X ), Y
% 42.17/42.58 ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1709, [ =( pack1( inv( X ), Y ), inv( pack1( X, Y ) ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1765, [ =( inv( pack1( X, Y ) ), pack1( o, Y ) ), =( Z, X ), ~( =(
% 42.17/42.58 inv( Z ), i ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1777, [ ~( =( Z, i ) ), =( X, Z ), =( pack1( X, Y ), pack1( o, Y )
% 42.17/42.58 ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1784, [ ~( =( pack1( pack1( o, X ), X ), Y ) ), ~( =( Y, i ) ), =(
% 42.17/42.58 pack1( o, X ), Y ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1786, [ ~( =( pack1( pack1( o, X ), X ), i ) ), =( pack1( o, X ), i
% 42.17/42.58 ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1793, [ ~( =( X, pack1( o, Y ) ) ), ~( =( pack1( X, Y ), i ) ), =(
% 42.17/42.58 pack1( o, Y ), o ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1794, [ ~( =( pack1( pack1( o, X ), X ), i ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1956, [ =( pack1( pack1( o, X ), X ), o ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 1983, [ =( pack1( pack1( X, Y ), Y ), X ), =( Z, i ), ~( =( inv( Z
% 42.17/42.58 ), inv( X ) ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 2036, [ =( pack1( pack1( X, Y ), Y ), X ), =( Z, X ), =( Z, o ) ]
% 42.17/42.58 )
% 42.17/42.58 .
% 42.17/42.58 clause( 2038, [ ~( =( X, i ) ), =( inv( pack1( pack1( X, Y ), Y ) ), o ) ]
% 42.17/42.58 )
% 42.17/42.58 .
% 42.17/42.58 clause( 2056, [ =( pack1( pack1( X, Y ), Y ), X ), =( pack1( pack1( X, Y )
% 42.17/42.58 , Y ), o ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 2060, [ ~( =( X, i ) ), =( pack1( pack1( X, Y ), Y ), i ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 2061, [ =( pack1( pack1( i, X ), X ), i ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 2112, [ =( pack1( pack1( X, Y ), Y ), X ), =( Z, X ), ~( =( inv( Z
% 42.17/42.58 ), i ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 2151, [ =( pack1( pack1( X, Y ), Y ), X ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 2182, [ =( unpack2( pack1( X, Y ), Y, X, Z ), Y ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 2201, [ =( pack1( Z, Y ), X ), =( inv( Z ), pack1( X, Y ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 2284, [ =( unpack2( Z, Y, X, T ), Y ), ~( =( Z, pack1( X, Y ) ) ) ]
% 42.17/42.58 )
% 42.17/42.58 .
% 42.17/42.58 clause( 3604, [ ~( =( pack1( pack1( X, Y ), inv( Y ) ), X ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 4308, [ ~( =( inv( Z ), X ) ), =( pack1( Z, inv( Y ) ), pack1( X, Y
% 42.17/42.58 ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 4520, [ =( pack1( X, inv( Y ) ), inv( pack1( X, Y ) ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 17607, [ ~( =( pack2( X, inv( Y ) ), pack2( inv( X ), Y ) ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 17693, [ ~( =( Z, pack2( inv( X ), Y ) ) ), =( inv( Z ), pack2( X,
% 42.17/42.58 inv( Y ) ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 17726, [ =( inv( pack2( inv( X ), Y ) ), pack2( X, inv( Y ) ) ) ]
% 42.17/42.58 )
% 42.17/42.58 .
% 42.17/42.58 clause( 18498, [ ~( =( pack2( inv( X ), Y ), pack2( X, Y ) ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 18731, [ ~( =( Z, pack2( X, Y ) ) ), =( pack2( X, inv( Y ) ), Z ) ]
% 42.17/42.58 )
% 42.17/42.58 .
% 42.17/42.58 clause( 18732, [ ~( =( Z, pack2( X, Y ) ) ), =( inv( Z ), pack2( inv( X ),
% 42.17/42.58 Y ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 18770, [ =( pack2( inv( X ), Y ), inv( pack2( X, Y ) ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 18771, [ =( pack2( X, inv( Y ) ), pack2( X, Y ) ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 19132, [ =( inv( Y ), Y ) ] )
% 42.17/42.58 .
% 42.17/42.58 clause( 19183, [] )
% 42.17/42.58 .
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 % SZS output end Refutation
% 42.17/42.58 found a proof!
% 42.17/42.58
% 42.17/42.58 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 42.17/42.58
% 42.17/42.58 initialclauses(
% 42.17/42.58 [ clause( 19185, [ =( X, o ), =( X, i ) ] )
% 42.17/42.58 , clause( 19186, [ ~( =( inv( X ), X ) ) ] )
% 42.17/42.58 , clause( 19187, [ =( unpack1( X, Y, pack1( X, Y ), pack2( X, Y ) ), X ) ]
% 42.17/42.58 )
% 42.17/42.58 , clause( 19188, [ =( unpack1( inv( X ), Y, pack1( X, Y ), pack2( X, Y ) )
% 42.17/42.58 , X ) ] )
% 42.17/42.58 , clause( 19189, [ =( unpack1( X, inv( Y ), pack1( X, Y ), pack2( X, Y ) )
% 42.17/42.58 , X ) ] )
% 42.17/42.58 , clause( 19190, [ =( unpack1( X, Y, inv( pack1( X, Y ) ), pack2( X, Y ) )
% 42.17/42.58 , X ) ] )
% 42.17/42.58 , clause( 19191, [ =( unpack1( X, Y, pack1( X, Y ), inv( pack2( X, Y ) ) )
% 42.17/42.58 , X ) ] )
% 42.17/42.58 , clause( 19192, [ =( unpack2( X, Y, pack1( X, Y ), pack2( X, Y ) ), Y ) ]
% 42.17/42.58 )
% 42.17/42.58 , clause( 19193, [ =( unpack2( inv( X ), Y, pack1( X, Y ), pack2( X, Y ) )
% 42.17/42.58 , Y ) ] )
% 42.17/42.58 , clause( 19194, [ =( unpack2( X, inv( Y ), pack1( X, Y ), pack2( X, Y ) )
% 42.17/42.58 , Y ) ] )
% 42.17/42.58 , clause( 19195, [ =( unpack2( X, Y, inv( pack1( X, Y ) ), pack2( X, Y ) )
% 42.17/42.58 , Y ) ] )
% 42.17/42.58 , clause( 19196, [ =( unpack2( X, Y, pack1( X, Y ), inv( pack2( X, Y ) ) )
% 42.17/42.58 , Y ) ] )
% 42.17/42.58 ] ).
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 subsumption(
% 42.17/42.58 clause( 0, [ =( X, o ), =( X, i ) ] )
% 42.17/42.58 , clause( 19185, [ =( X, o ), =( X, i ) ] )
% 42.17/42.58 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 42.17/42.58 1 )] ) ).
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 subsumption(
% 42.17/42.58 clause( 1, [ ~( =( inv( X ), X ) ) ] )
% 42.17/42.58 , clause( 19186, [ ~( =( inv( X ), X ) ) ] )
% 42.17/42.58 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 subsumption(
% 42.17/42.58 clause( 2, [ =( unpack1( X, Y, pack1( X, Y ), pack2( X, Y ) ), X ) ] )
% 42.17/42.58 , clause( 19187, [ =( unpack1( X, Y, pack1( X, Y ), pack2( X, Y ) ), X ) ]
% 42.17/42.58 )
% 42.17/42.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 42.17/42.58 )] ) ).
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 subsumption(
% 42.17/42.58 clause( 3, [ =( unpack1( inv( X ), Y, pack1( X, Y ), pack2( X, Y ) ), X ) ]
% 42.17/42.58 )
% 42.17/42.58 , clause( 19188, [ =( unpack1( inv( X ), Y, pack1( X, Y ), pack2( X, Y ) )
% 42.17/42.58 , X ) ] )
% 42.17/42.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 42.17/42.58 )] ) ).
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 subsumption(
% 42.17/42.58 clause( 4, [ =( unpack1( X, inv( Y ), pack1( X, Y ), pack2( X, Y ) ), X ) ]
% 42.17/42.58 )
% 42.17/42.58 , clause( 19189, [ =( unpack1( X, inv( Y ), pack1( X, Y ), pack2( X, Y ) )
% 42.17/42.58 , X ) ] )
% 42.17/42.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 42.17/42.58 )] ) ).
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 subsumption(
% 42.17/42.58 clause( 5, [ =( unpack1( X, Y, inv( pack1( X, Y ) ), pack2( X, Y ) ), X ) ]
% 42.17/42.58 )
% 42.17/42.58 , clause( 19190, [ =( unpack1( X, Y, inv( pack1( X, Y ) ), pack2( X, Y ) )
% 42.17/42.58 , X ) ] )
% 42.17/42.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 42.17/42.58 )] ) ).
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 subsumption(
% 42.17/42.58 clause( 6, [ =( unpack1( X, Y, pack1( X, Y ), inv( pack2( X, Y ) ) ), X ) ]
% 42.17/42.58 )
% 42.17/42.58 , clause( 19191, [ =( unpack1( X, Y, pack1( X, Y ), inv( pack2( X, Y ) ) )
% 42.17/42.58 , X ) ] )
% 42.17/42.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 42.17/42.58 )] ) ).
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 subsumption(
% 42.17/42.58 clause( 7, [ =( unpack2( X, Y, pack1( X, Y ), pack2( X, Y ) ), Y ) ] )
% 42.17/42.58 , clause( 19192, [ =( unpack2( X, Y, pack1( X, Y ), pack2( X, Y ) ), Y ) ]
% 42.17/42.58 )
% 42.17/42.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 42.17/42.58 )] ) ).
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 subsumption(
% 42.17/42.58 clause( 9, [ =( unpack2( X, inv( Y ), pack1( X, Y ), pack2( X, Y ) ), Y ) ]
% 42.17/42.58 )
% 42.17/42.58 , clause( 19194, [ =( unpack2( X, inv( Y ), pack1( X, Y ), pack2( X, Y ) )
% 42.17/42.58 , Y ) ] )
% 42.17/42.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 42.17/42.58 )] ) ).
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 subsumption(
% 42.17/42.58 clause( 10, [ =( unpack2( X, Y, inv( pack1( X, Y ) ), pack2( X, Y ) ), Y )
% 42.17/42.58 ] )
% 42.17/42.58 , clause( 19195, [ =( unpack2( X, Y, inv( pack1( X, Y ) ), pack2( X, Y ) )
% 42.17/42.58 , Y ) ] )
% 42.17/42.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 42.17/42.58 )] ) ).
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 subsumption(
% 42.17/42.58 clause( 11, [ =( unpack2( X, Y, pack1( X, Y ), inv( pack2( X, Y ) ) ), Y )
% 42.17/42.58 ] )
% 42.17/42.58 , clause( 19196, [ =( unpack2( X, Y, pack1( X, Y ), inv( pack2( X, Y ) ) )
% 42.17/42.58 , Y ) ] )
% 42.17/42.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 42.17/42.58 )] ) ).
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 eqfact(
% 42.17/42.58 clause( 19303, [ ~( =( o, i ) ), =( X, i ) ] )
% 42.17/42.58 , clause( 0, [ =( X, o ), =( X, i ) ] )
% 42.17/42.58 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 eqswap(
% 42.17/42.58 clause( 19308, [ ~( =( i, o ) ), =( X, i ) ] )
% 42.17/42.58 , clause( 19303, [ ~( =( o, i ) ), =( X, i ) ] )
% 42.17/42.58 , 0, substitution( 0, [ :=( X, X )] )).
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 subsumption(
% 42.17/42.58 clause( 12, [ ~( =( i, o ) ), =( X, i ) ] )
% 42.17/42.58 , clause( 19308, [ ~( =( i, o ) ), =( X, i ) ] )
% 42.17/42.58 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 42.17/42.58 1 )] ) ).
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 eqswap(
% 42.17/42.58 clause( 19311, [ ~( =( o, i ) ), =( X, i ) ] )
% 42.17/42.58 , clause( 12, [ ~( =( i, o ) ), =( X, i ) ] )
% 42.17/42.58 , 0, substitution( 0, [ :=( X, X )] )).
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 eqswap(
% 42.17/42.58 clause( 19314, [ ~( =( X, inv( X ) ) ) ] )
% 42.17/42.58 , clause( 1, [ ~( =( inv( X ), X ) ) ] )
% 42.17/42.58 , 0, substitution( 0, [ :=( X, X )] )).
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 paramod(
% 42.17/42.58 clause( 19315, [ ~( =( X, i ) ), ~( =( o, i ) ) ] )
% 42.17/42.58 , clause( 19311, [ ~( =( o, i ) ), =( X, i ) ] )
% 42.17/42.58 , 1, clause( 19314, [ ~( =( X, inv( X ) ) ) ] )
% 42.17/42.58 , 0, 3, substitution( 0, [ :=( X, inv( X ) )] ), substitution( 1, [ :=( X,
% 42.17/42.58 X )] )).
% 42.17/42.58
% 42.17/42.58
% 42.17/42.58 eqswap(
% 42.17/42.58 clause( 19326, [ ~( =( i, o ) ), ~( =( X, i ) ) ] )
% 42.17/42.58 , clause( 1Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------