TSTP Solution File: LCL053-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL053-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 62.77s 62.98s
% Output : Refutation 62.77s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_30,negated_conjecture,
~ is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b))),
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,X12),implies(implies(X12,X11),implies(X10,X11)))),
input ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X28,X27))
| is_a_theorem(implies(implies(X27,X26),implies(X28,X26))) ),
inference(resolution,status(thm),[cn_1,condensed_detachment]) ).
cnf(c15,plain,
is_a_theorem(implies(implies(implies(implies(X93,X92),implies(X94,X92)),X95),implies(implies(X94,X93),X95))),
inference(resolution,status(thm),[c4,cn_1]) ).
cnf(c87,plain,
( ~ is_a_theorem(implies(implies(implies(X930,X928),implies(X929,X928)),X931))
| is_a_theorem(implies(implies(X929,X930),X931)) ),
inference(resolution,status(thm),[c15,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(c14,plain,
is_a_theorem(implies(implies(implies(not(X32),X31),X33),implies(X32,X33))),
inference(resolution,status(thm),[c4,cn_3]) ).
cnf(c20,plain,
( ~ is_a_theorem(implies(implies(not(X49),X50),X51))
| is_a_theorem(implies(X49,X51)) ),
inference(resolution,status(thm),[c14,condensed_detachment]) ).
cnf(c1,plain,
( ~ is_a_theorem(X9)
| is_a_theorem(implies(not(X9),X8)) ),
inference(resolution,status(thm),[condensed_detachment,cn_3]) ).
cnf(c42,plain,
is_a_theorem(implies(X55,X55)),
inference(resolution,status(thm),[c20,cn_2]) ).
cnf(c55,plain,
is_a_theorem(implies(not(implies(X60,X60)),X61)),
inference(resolution,status(thm),[c42,c1]) ).
cnf(c63,plain,
is_a_theorem(implies(implies(X116,X115),implies(not(implies(X114,X114)),X115))),
inference(resolution,status(thm),[c55,c4]) ).
cnf(c122,plain,
is_a_theorem(implies(X118,implies(not(implies(X117,X117)),X119))),
inference(resolution,status(thm),[c63,c20]) ).
cnf(c132,plain,
is_a_theorem(implies(implies(implies(not(implies(X217,X217)),X218),X219),implies(X216,X219))),
inference(resolution,status(thm),[c122,c4]) ).
cnf(c251,plain,
( ~ is_a_theorem(implies(implies(not(implies(X220,X220)),X223),X221))
| is_a_theorem(implies(X222,X221)) ),
inference(resolution,status(thm),[c132,condensed_detachment]) ).
cnf(c13,plain,
is_a_theorem(implies(implies(X29,X30),implies(implies(not(X29),X29),X30))),
inference(resolution,status(thm),[c4,cn_2]) ).
cnf(c17,plain,
( ~ is_a_theorem(implies(X35,X34))
| is_a_theorem(implies(implies(not(X35),X35),X34)) ),
inference(resolution,status(thm),[c13,condensed_detachment]) ).
cnf(c28,plain,
is_a_theorem(implies(implies(not(implies(X265,X264)),implies(X265,X264)),implies(implies(not(X265),X265),X264))),
inference(resolution,status(thm),[c17,c13]) ).
cnf(c334,plain,
is_a_theorem(implies(X284,implies(implies(not(X283),X283),X283))),
inference(resolution,status(thm),[c28,c251]) ).
cnf(c352,plain,
is_a_theorem(implies(implies(implies(implies(not(X909),X909),X909),X907),implies(X908,X907))),
inference(resolution,status(thm),[c334,c4]) ).
cnf(c816,plain,
is_a_theorem(implies(implies(X1912,implies(not(X1911),X1911)),implies(X1910,implies(X1912,X1911)))),
inference(resolution,status(thm),[c87,c352]) ).
cnf(c1932,plain,
( ~ is_a_theorem(implies(X3796,implies(not(X3797),X3797)))
| is_a_theorem(implies(X3798,implies(X3796,X3797))) ),
inference(resolution,status(thm),[c816,condensed_detachment]) ).
cnf(c1928,plain,
is_a_theorem(implies(implies(not(X2367),X2366),implies(X2368,implies(implies(X2366,X2367),X2367)))),
inference(resolution,status(thm),[c816,c87]) ).
cnf(c265,plain,
is_a_theorem(implies(X228,implies(X227,X227))),
inference(resolution,status(thm),[c251,cn_2]) ).
cnf(c287,plain,
is_a_theorem(implies(implies(implies(X297,X297),X298),implies(X296,X298))),
inference(resolution,status(thm),[c265,c4]) ).
cnf(c363,plain,
( ~ is_a_theorem(implies(implies(X303,X303),X304))
| is_a_theorem(implies(X302,X304)) ),
inference(resolution,status(thm),[c287,condensed_detachment]) ).
cnf(c385,plain,
is_a_theorem(implies(X313,implies(X315,implies(X314,X314)))),
inference(resolution,status(thm),[c363,c287]) ).
cnf(c398,plain,
is_a_theorem(implies(implies(implies(X434,implies(X437,X437)),X436),implies(X435,X436))),
inference(resolution,status(thm),[c385,c4]) ).
cnf(c5283,plain,
is_a_theorem(implies(X4288,implies(implies(implies(X4286,implies(X4287,X4287)),X4289),X4289))),
inference(resolution,status(thm),[c1932,c398]) ).
cnf(c6527,plain,
is_a_theorem(implies(implies(implies(X4294,implies(X4293,X4293)),X4292),X4292)),
inference(resolution,status(thm),[c5283,c0]) ).
cnf(c6561,plain,
( ~ is_a_theorem(implies(implies(X4339,implies(X4337,X4337)),X4338))
| is_a_theorem(X4338) ),
inference(resolution,status(thm),[c6527,condensed_detachment]) ).
cnf(c2609,plain,
is_a_theorem(implies(X2372,implies(X2371,implies(implies(X2373,X2372),X2372)))),
inference(resolution,status(thm),[c1928,c20]) ).
cnf(c5211,plain,
is_a_theorem(implies(X3900,implies(X3898,implies(implies(X3899,X3898),X3898)))),
inference(resolution,status(thm),[c1932,c2609]) ).
cnf(c5470,plain,
is_a_theorem(implies(X3901,implies(implies(X3902,X3901),X3901))),
inference(resolution,status(thm),[c5211,c0]) ).
cnf(c5508,plain,
is_a_theorem(implies(implies(implies(implies(X4721,X4719),X4719),X4720),implies(X4719,X4720))),
inference(resolution,status(thm),[c5470,c4]) ).
cnf(c7400,plain,
is_a_theorem(implies(implies(X4916,implies(X4914,X4915)),implies(X4915,implies(X4916,X4915)))),
inference(resolution,status(thm),[c5508,c87]) ).
cnf(c7603,plain,
is_a_theorem(implies(X4921,implies(X4922,X4921))),
inference(resolution,status(thm),[c7400,c6561]) ).
cnf(c7633,plain,
is_a_theorem(implies(implies(implies(X5183,X5182),X5184),implies(X5182,X5184))),
inference(resolution,status(thm),[c7603,c4]) ).
cnf(c8315,plain,
( ~ is_a_theorem(implies(implies(X5333,X5332),X5334))
| is_a_theorem(implies(X5332,X5334)) ),
inference(resolution,status(thm),[c7633,condensed_detachment]) ).
cnf(c8648,plain,
is_a_theorem(implies(X5579,implies(X5578,implies(implies(X5579,X5580),X5580)))),
inference(resolution,status(thm),[c8315,c1928]) ).
cnf(c9651,plain,
is_a_theorem(implies(X5694,implies(X5692,implies(implies(X5692,X5693),X5693)))),
inference(resolution,status(thm),[c8648,c1932]) ).
cnf(c10164,plain,
is_a_theorem(implies(X5697,implies(implies(X5697,X5698),X5698))),
inference(resolution,status(thm),[c9651,c0]) ).
cnf(c10203,plain,
( ~ is_a_theorem(X5715)
| is_a_theorem(implies(implies(X5715,X5714),X5714)) ),
inference(resolution,status(thm),[c10164,condensed_detachment]) ).
cnf(c10459,plain,
is_a_theorem(implies(implies(implies(implies(not(X7244),X7244),X7244),X7245),X7245)),
inference(resolution,status(thm),[c10203,cn_2]) ).
cnf(c14723,plain,
is_a_theorem(implies(implies(X8022,implies(not(X8021),X8021)),implies(X8022,X8021))),
inference(resolution,status(thm),[c10459,c87]) ).
cnf(c17340,plain,
is_a_theorem(implies(implies(not(X8677),X8676),implies(implies(X8676,X8677),X8677))),
inference(resolution,status(thm),[c14723,c87]) ).
cnf(c19167,plain,
( ~ is_a_theorem(implies(not(X9593),X9592))
| is_a_theorem(implies(implies(X9592,X9593),X9593)) ),
inference(resolution,status(thm),[c17340,condensed_detachment]) ).
cnf(c10522,plain,
is_a_theorem(implies(implies(implies(X7263,implies(not(X7263),X7262)),X7264),X7264)),
inference(resolution,status(thm),[c10203,cn_3]) ).
cnf(c14774,plain,
( ~ is_a_theorem(implies(implies(X8284,implies(not(X8284),X8285)),X8286))
| is_a_theorem(X8286) ),
inference(resolution,status(thm),[c10522,condensed_detachment]) ).
cnf(c27,plain,
is_a_theorem(implies(implies(not(implies(X251,X250)),implies(X251,X250)),implies(implies(X250,X249),implies(X251,X249)))),
inference(resolution,status(thm),[c17,cn_1]) ).
cnf(c298,plain,
( ~ is_a_theorem(implies(not(implies(X4040,X4042)),implies(X4040,X4042)))
| is_a_theorem(implies(implies(X4042,X4041),implies(X4040,X4041))) ),
inference(resolution,status(thm),[c27,condensed_detachment]) ).
cnf(c10191,plain,
is_a_theorem(implies(implies(implies(implies(X12808,X12810),X12810),X12809),implies(X12808,X12809))),
inference(resolution,status(thm),[c9651,c298]) ).
cnf(c32374,plain,
is_a_theorem(implies(implies(X16198,implies(X16196,X16197)),implies(X16196,implies(X16198,X16197)))),
inference(resolution,status(thm),[c10191,c87]) ).
cnf(c39952,plain,
is_a_theorem(implies(not(X16208),implies(X16208,X16209))),
inference(resolution,status(thm),[c32374,c14774]) ).
cnf(c40043,plain,
is_a_theorem(implies(implies(implies(X16240,X16241),X16240),X16240)),
inference(resolution,status(thm),[c39952,c19167]) ).
cnf(c40122,plain,
is_a_theorem(implies(implies(X17162,implies(X17162,X17161)),implies(X17162,X17161))),
inference(resolution,status(thm),[c40043,c87]) ).
cnf(c46548,plain,
$false,
inference(resolution,status(thm),[c40122,prove_cn_30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL053-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n020.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 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 11:34:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 62.77/62.98 # Version: 1.3
% 62.77/62.98 # SZS status Unsatisfiable
% 62.77/62.98 # SZS output start CNFRefutation
% See solution above
% 62.77/62.98
% 62.77/62.98 # Initial clauses : 5
% 62.77/62.98 # Processed clauses : 930
% 62.77/62.98 # Factors computed : 0
% 62.77/62.98 # Resolvents computed: 46577
% 62.77/62.98 # Tautologies deleted: 1
% 62.77/62.98 # Forward subsumed : 4411
% 62.77/62.98 # Backward subsumed : 127
% 62.77/62.98 # -------- CPU Time ---------
% 62.77/62.98 # User time : 62.505 s
% 62.77/62.98 # System time : 0.091 s
% 62.77/62.98 # Total time : 62.596 s
%------------------------------------------------------------------------------