TSTP Solution File: LCL052-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL052-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 : 600s
% DateTime : Sun Jul 17 13:51:42 EDT 2022
% Result : Unsatisfiable 51.22s 51.42s
% Output : Refutation 51.22s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_24,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X5,X6))
| ~ is_a_theorem(X5)
| is_a_theorem(X6) ),
input ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X10,X11),implies(implies(X11,X12),implies(X10,X12)))),
input ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X23,X21))
| is_a_theorem(implies(implies(X21,X22),implies(X23,X22))) ),
inference(resolution,status(thm),[cn_1,condensed_detachment]) ).
cnf(c16,plain,
is_a_theorem(implies(implies(implies(implies(X110,X111),implies(X113,X111)),X112),implies(implies(X113,X110),X112))),
inference(resolution,status(thm),[c4,cn_1]) ).
cnf(c116,plain,
( ~ is_a_theorem(implies(implies(implies(X1457,X1458),implies(X1456,X1458)),X1455))
| is_a_theorem(implies(implies(X1456,X1457),X1455)) ),
inference(resolution,status(thm),[c16,condensed_detachment]) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X2),X2),X2)),
input ).
cnf(c0,plain,
( ~ is_a_theorem(implies(not(X7),X7))
| is_a_theorem(X7) ),
inference(resolution,status(thm),[condensed_detachment,cn_2]) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X3,implies(not(X3),X4))),
input ).
cnf(c13,plain,
is_a_theorem(implies(implies(implies(not(X32),X33),X31),implies(X32,X31))),
inference(resolution,status(thm),[c4,cn_3]) ).
cnf(c21,plain,
( ~ is_a_theorem(implies(implies(not(X50),X51),X49))
| is_a_theorem(implies(X50,X49)) ),
inference(resolution,status(thm),[c13,condensed_detachment]) ).
cnf(c1,plain,
( ~ is_a_theorem(X8)
| is_a_theorem(implies(not(X8),X9)) ),
inference(resolution,status(thm),[condensed_detachment,cn_3]) ).
cnf(c42,plain,
is_a_theorem(implies(X55,X55)),
inference(resolution,status(thm),[c21,cn_2]) ).
cnf(c56,plain,
is_a_theorem(implies(not(implies(X60,X60)),X61)),
inference(resolution,status(thm),[c42,c1]) ).
cnf(c59,plain,
is_a_theorem(implies(implies(X115,X116),implies(not(implies(X114,X114)),X116))),
inference(resolution,status(thm),[c56,c4]) ).
cnf(c123,plain,
is_a_theorem(implies(X118,implies(not(implies(X117,X117)),X119))),
inference(resolution,status(thm),[c59,c21]) ).
cnf(c126,plain,
is_a_theorem(implies(implies(implies(not(implies(X215,X215)),X214),X213),implies(X212,X213))),
inference(resolution,status(thm),[c123,c4]) ).
cnf(c252,plain,
( ~ is_a_theorem(implies(implies(not(implies(X219,X219)),X218),X216))
| is_a_theorem(implies(X217,X216)) ),
inference(resolution,status(thm),[c126,condensed_detachment]) ).
cnf(c257,plain,
is_a_theorem(implies(X223,implies(X224,X224))),
inference(resolution,status(thm),[c252,cn_2]) ).
cnf(c278,plain,
is_a_theorem(implies(implies(implies(X291,X291),X290),implies(X289,X290))),
inference(resolution,status(thm),[c257,c4]) ).
cnf(c356,plain,
( ~ is_a_theorem(implies(implies(X300,X300),X299))
| is_a_theorem(implies(X301,X299)) ),
inference(resolution,status(thm),[c278,condensed_detachment]) ).
cnf(c376,plain,
is_a_theorem(implies(X306,implies(X308,implies(X307,X307)))),
inference(resolution,status(thm),[c356,c278]) ).
cnf(c389,plain,
is_a_theorem(implies(implies(implies(X437,implies(X436,X436)),X435),implies(X434,X435))),
inference(resolution,status(thm),[c376,c4]) ).
cnf(c12,plain,
is_a_theorem(implies(implies(X30,X29),implies(implies(not(X30),X30),X29))),
inference(resolution,status(thm),[c4,cn_2]) ).
cnf(c18,plain,
( ~ is_a_theorem(implies(X35,X34))
| is_a_theorem(implies(implies(not(X35),X35),X34)) ),
inference(resolution,status(thm),[c12,condensed_detachment]) ).
cnf(c28,plain,
is_a_theorem(implies(implies(not(implies(X264,X263)),implies(X264,X263)),implies(implies(not(X264),X264),X263))),
inference(resolution,status(thm),[c18,c12]) ).
cnf(c332,plain,
is_a_theorem(implies(X277,implies(implies(not(X278),X278),X278))),
inference(resolution,status(thm),[c28,c252]) ).
cnf(c335,plain,
is_a_theorem(implies(implies(implies(implies(not(X908),X908),X908),X909),implies(X907,X909))),
inference(resolution,status(thm),[c332,c4]) ).
cnf(c1210,plain,
is_a_theorem(implies(implies(X2182,implies(not(X2184),X2184)),implies(X2183,implies(X2182,X2184)))),
inference(resolution,status(thm),[c116,c335]) ).
cnf(c2262,plain,
( ~ is_a_theorem(implies(X2517,implies(not(X2516),X2516)))
| is_a_theorem(implies(X2518,implies(X2517,X2516))) ),
inference(resolution,status(thm),[c1210,condensed_detachment]) ).
cnf(c2883,plain,
is_a_theorem(implies(X2886,implies(implies(implies(X2884,implies(X2883,X2883)),X2885),X2885))),
inference(resolution,status(thm),[c2262,c389]) ).
cnf(c3497,plain,
is_a_theorem(implies(implies(implies(X2887,implies(X2888,X2888)),X2889),X2889)),
inference(resolution,status(thm),[c2883,c0]) ).
cnf(c3520,plain,
( ~ is_a_theorem(implies(implies(X2920,implies(X2918,X2918)),X2919))
| is_a_theorem(X2919) ),
inference(resolution,status(thm),[c3497,condensed_detachment]) ).
cnf(c2265,plain,
is_a_theorem(implies(implies(not(X5134),X5133),implies(X5132,implies(implies(X5133,X5134),X5134)))),
inference(resolution,status(thm),[c1210,c116]) ).
cnf(c29,plain,
is_a_theorem(implies(implies(not(implies(X281,X279)),implies(X281,X279)),implies(implies(X279,X280),implies(X281,X280)))),
inference(resolution,status(thm),[c18,cn_1]) ).
cnf(c347,plain,
( ~ is_a_theorem(implies(not(implies(X4480,X4479)),implies(X4480,X4479)))
| is_a_theorem(implies(implies(X4479,X4481),implies(X4480,X4481))) ),
inference(resolution,status(thm),[c29,condensed_detachment]) ).
cnf(c7110,plain,
is_a_theorem(implies(X5145,implies(X5144,implies(implies(X5146,X5145),X5145)))),
inference(resolution,status(thm),[c2265,c21]) ).
cnf(c7124,plain,
is_a_theorem(implies(X5152,implies(X5150,implies(implies(X5151,X5150),X5150)))),
inference(resolution,status(thm),[c7110,c2262]) ).
cnf(c7165,plain,
is_a_theorem(implies(implies(implies(implies(X5329,X5331),X5331),X5330),implies(X5331,X5330))),
inference(resolution,status(thm),[c7124,c347]) ).
cnf(c8084,plain,
( ~ is_a_theorem(implies(implies(implies(X5660,X5661),X5661),X5659))
| is_a_theorem(implies(X5661,X5659)) ),
inference(resolution,status(thm),[c7165,condensed_detachment]) ).
cnf(c8774,plain,
is_a_theorem(implies(X5669,implies(X5670,X5669))),
inference(resolution,status(thm),[c8084,c126]) ).
cnf(c8919,plain,
is_a_theorem(implies(implies(implies(X6004,X6002),X6003),implies(X6002,X6003))),
inference(resolution,status(thm),[c8774,c4]) ).
cnf(c9775,plain,
( ~ is_a_theorem(implies(implies(X6154,X6155),X6156))
| is_a_theorem(implies(X6155,X6156)) ),
inference(resolution,status(thm),[c8919,condensed_detachment]) ).
cnf(c10034,plain,
is_a_theorem(implies(X6437,implies(X6436,implies(implies(X6437,X6435),X6435)))),
inference(resolution,status(thm),[c9775,c2265]) ).
cnf(c11233,plain,
is_a_theorem(implies(X6557,implies(X6555,implies(implies(X6555,X6556),X6556)))),
inference(resolution,status(thm),[c10034,c2262]) ).
cnf(c11453,plain,
is_a_theorem(implies(X6561,implies(implies(X6561,X6560),X6560))),
inference(resolution,status(thm),[c11233,c3520]) ).
cnf(c11489,plain,
( ~ is_a_theorem(X6576)
| is_a_theorem(implies(implies(X6576,X6575),X6575)) ),
inference(resolution,status(thm),[c11453,condensed_detachment]) ).
cnf(c11568,plain,
is_a_theorem(implies(implies(implies(implies(not(X8013),X8013),X8013),X8014),X8014)),
inference(resolution,status(thm),[c11489,cn_2]) ).
cnf(c15969,plain,
is_a_theorem(implies(implies(X9099,implies(not(X9100),X9100)),implies(X9099,X9100))),
inference(resolution,status(thm),[c11568,c116]) ).
cnf(c20112,plain,
is_a_theorem(implies(implies(not(X10109),X10108),implies(implies(X10108,X10109),X10109))),
inference(resolution,status(thm),[c15969,c116]) ).
cnf(c23521,plain,
( ~ is_a_theorem(implies(not(X10824),X10825))
| is_a_theorem(implies(implies(X10825,X10824),X10824)) ),
inference(resolution,status(thm),[c20112,condensed_detachment]) ).
cnf(c11448,plain,
is_a_theorem(implies(implies(implies(implies(X13167,X13166),X13166),X13165),implies(X13167,X13165))),
inference(resolution,status(thm),[c11233,c347]) ).
cnf(c30182,plain,
( ~ is_a_theorem(implies(implies(implies(X16633,X16634),X16634),X16632))
| is_a_theorem(implies(X16633,X16632)) ),
inference(resolution,status(thm),[c11448,condensed_detachment]) ).
cnf(c40061,plain,
is_a_theorem(implies(not(X16671),implies(X16671,X16672))),
inference(resolution,status(thm),[c30182,c13]) ).
cnf(c40544,plain,
is_a_theorem(implies(implies(implies(X16762,X16761),X16762),X16762)),
inference(resolution,status(thm),[c40061,c23521]) ).
cnf(c40916,plain,
$false,
inference(resolution,status(thm),[c40544,prove_cn_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL052-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 4 16:00:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 51.22/51.42 # Version: 1.3
% 51.22/51.42 # SZS status Unsatisfiable
% 51.22/51.42 # SZS output start CNFRefutation
% See solution above
% 51.22/51.42
% 51.22/51.42 # Initial clauses : 5
% 51.22/51.42 # Processed clauses : 888
% 51.22/51.42 # Factors computed : 0
% 51.22/51.42 # Resolvents computed: 40948
% 51.22/51.42 # Tautologies deleted: 1
% 51.22/51.42 # Forward subsumed : 4266
% 51.22/51.42 # Backward subsumed : 79
% 51.22/51.42 # -------- CPU Time ---------
% 51.22/51.42 # User time : 50.987 s
% 51.22/51.42 # System time : 0.093 s
% 51.22/51.42 # Total time : 51.080 s
%------------------------------------------------------------------------------