TSTP Solution File: LCL086-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL086-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n024.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 13:51:57 EDT 2022
% Result : Unsatisfiable 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ic_1,negated_conjecture,
~ is_a_theorem(implies(a,a)),
input ).
cnf(ic_JLukasiewicz_4,axiom,
is_a_theorem(implies(implies(implies(X8,X7),implies(X6,X4)),implies(X5,implies(implies(X4,X8),implies(X6,X8))))),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X2,X3))
| ~ is_a_theorem(X2)
| is_a_theorem(X3) ),
input ).
cnf(c0,plain,
( ~ is_a_theorem(implies(implies(X13,X12),implies(X9,X10)))
| is_a_theorem(implies(X11,implies(implies(X10,X13),implies(X9,X13)))) ),
inference(resolution,status(thm),[ic_JLukasiewicz_4,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(implies(X16,implies(implies(implies(implies(X15,X19),implies(X14,X19)),implies(X19,X18)),implies(X17,implies(X19,X18))))),
inference(resolution,status(thm),[c0,ic_JLukasiewicz_4]) ).
cnf(c3,plain,
( ~ is_a_theorem(X29)
| is_a_theorem(implies(implies(implies(implies(X31,X32),implies(X30,X32)),implies(X32,X27)),implies(X28,implies(X32,X27)))) ),
inference(resolution,status(thm),[c1,condensed_detachment]) ).
cnf(c6,plain,
is_a_theorem(implies(implies(implies(implies(X33,X35),implies(X34,X35)),implies(X35,X37)),implies(X36,implies(X35,X37)))),
inference(resolution,status(thm),[c3,ic_JLukasiewicz_4]) ).
cnf(c2,plain,
is_a_theorem(implies(X24,implies(implies(implies(X21,implies(X26,X20)),X22),implies(implies(implies(implies(X25,X26),implies(X23,X26)),implies(X26,X20)),X22)))),
inference(resolution,status(thm),[c1,c0]) ).
cnf(c10,plain,
( ~ is_a_theorem(implies(implies(implies(X49,X52),implies(X50,X52)),implies(X52,X51)))
| is_a_theorem(implies(X48,implies(X52,X51))) ),
inference(resolution,status(thm),[c6,condensed_detachment]) ).
cnf(c11,plain,
is_a_theorem(implies(X64,implies(X62,implies(implies(X62,X63),implies(X61,X63))))),
inference(resolution,status(thm),[c10,ic_JLukasiewicz_4]) ).
cnf(c19,plain,
( ~ is_a_theorem(X70)
| is_a_theorem(implies(X68,implies(implies(X68,X69),implies(X71,X69)))) ),
inference(resolution,status(thm),[c11,condensed_detachment]) ).
cnf(c24,plain,
is_a_theorem(implies(X74,implies(implies(X74,X73),implies(X72,X73)))),
inference(resolution,status(thm),[c19,c2]) ).
cnf(c32,plain,
( ~ is_a_theorem(X108)
| is_a_theorem(implies(implies(X108,X107),implies(X106,X107))) ),
inference(resolution,status(thm),[c24,condensed_detachment]) ).
cnf(c51,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X661,X666),implies(X664,X666)),implies(X666,X665)),implies(X660,implies(X666,X665))),X662),implies(X663,X662))),
inference(resolution,status(thm),[c32,c6]) ).
cnf(c9,plain,
is_a_theorem(implies(X103,implies(implies(implies(X105,X104),implies(implies(X101,X105),implies(X102,X105))),implies(X100,implies(implies(X101,X105),implies(X102,X105)))))),
inference(resolution,status(thm),[c6,c0]) ).
cnf(c13,plain,
is_a_theorem(implies(X67,implies(implies(X65,X66),implies(X66,implies(X65,X66))))),
inference(resolution,status(thm),[c10,c6]) ).
cnf(c22,plain,
( ~ is_a_theorem(X115)
| is_a_theorem(implies(implies(X114,X113),implies(X113,implies(X114,X113)))) ),
inference(resolution,status(thm),[c13,condensed_detachment]) ).
cnf(c54,plain,
is_a_theorem(implies(implies(X117,X116),implies(X116,implies(X117,X116)))),
inference(resolution,status(thm),[c22,c9]) ).
cnf(c64,plain,
is_a_theorem(implies(X153,implies(implies(implies(X152,X154),X152),implies(X154,X152)))),
inference(resolution,status(thm),[c54,c0]) ).
cnf(c80,plain,
( ~ is_a_theorem(X164)
| is_a_theorem(implies(implies(implies(X166,X165),X166),implies(X165,X166))) ),
inference(resolution,status(thm),[c64,condensed_detachment]) ).
cnf(c89,plain,
is_a_theorem(implies(implies(implies(X167,X168),X167),implies(X168,X167))),
inference(resolution,status(thm),[c80,c9]) ).
cnf(c105,plain,
is_a_theorem(implies(X170,implies(X169,implies(X171,X169)))),
inference(resolution,status(thm),[c89,c10]) ).
cnf(c109,plain,
is_a_theorem(implies(X298,implies(implies(implies(X299,X297),X296),implies(X297,X296)))),
inference(resolution,status(thm),[c105,c0]) ).
cnf(c209,plain,
( ~ is_a_theorem(X359)
| is_a_theorem(implies(implies(implies(X360,X357),X358),implies(X357,X358))) ),
inference(resolution,status(thm),[c109,condensed_detachment]) ).
cnf(c239,plain,
is_a_theorem(implies(implies(implies(X362,X363),X361),implies(X363,X361))),
inference(resolution,status(thm),[c209,c1]) ).
cnf(c110,plain,
( ~ is_a_theorem(X173)
| is_a_theorem(implies(X172,implies(X174,X172))) ),
inference(resolution,status(thm),[c105,condensed_detachment]) ).
cnf(c113,plain,
is_a_theorem(implies(X175,implies(X176,X175))),
inference(resolution,status(thm),[c110,c9]) ).
cnf(c126,plain,
is_a_theorem(implies(X313,implies(implies(implies(X312,X314),X312),implies(X315,X312)))),
inference(resolution,status(thm),[c113,c0]) ).
cnf(c223,plain,
( ~ is_a_theorem(X587)
| is_a_theorem(implies(implies(implies(X586,X585),X586),implies(X588,X586))) ),
inference(resolution,status(thm),[c126,condensed_detachment]) ).
cnf(c448,plain,
is_a_theorem(implies(implies(implies(X590,X589),X590),implies(X591,X590))),
inference(resolution,status(thm),[c223,c1]) ).
cnf(c483,plain,
( ~ is_a_theorem(implies(implies(X735,X734),X735))
| is_a_theorem(implies(X736,X735)) ),
inference(resolution,status(thm),[c448,condensed_detachment]) ).
cnf(c566,plain,
is_a_theorem(implies(X737,implies(X738,X738))),
inference(resolution,status(thm),[c483,c239]) ).
cnf(c591,plain,
( ~ is_a_theorem(X754)
| is_a_theorem(implies(X753,X753)) ),
inference(resolution,status(thm),[c566,condensed_detachment]) ).
cnf(c593,plain,
is_a_theorem(implies(X755,X755)),
inference(resolution,status(thm),[c591,c51]) ).
cnf(c630,plain,
$false,
inference(resolution,status(thm),[c593,prove_ic_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL086-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 2 20:28:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.61/0.78 # Version: 1.3
% 0.61/0.78 # SZS status Unsatisfiable
% 0.61/0.78 # SZS output start CNFRefutation
% See solution above
% 0.61/0.78
% 0.61/0.78 # Initial clauses : 3
% 0.61/0.78 # Processed clauses : 66
% 0.61/0.78 # Factors computed : 0
% 0.61/0.78 # Resolvents computed: 639
% 0.61/0.78 # Tautologies deleted: 0
% 0.61/0.78 # Forward subsumed : 150
% 0.61/0.78 # Backward subsumed : 17
% 0.61/0.78 # -------- CPU Time ---------
% 0.61/0.78 # User time : 0.424 s
% 0.61/0.78 # System time : 0.012 s
% 0.61/0.78 # Total time : 0.436 s
%------------------------------------------------------------------------------