TSTP Solution File: LCL094-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL094-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 13:52:00 EDT 2022
% Result : Unsatisfiable 19.96s 20.12s
% Output : Refutation 19.96s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ic_5,negated_conjecture,
~ is_a_theorem(implies(a,implies(implies(a,b),b))),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X2,X3))
| ~ is_a_theorem(X2)
| is_a_theorem(X3) ),
input ).
cnf(ic_JLukasiewicz_4,axiom,
is_a_theorem(implies(implies(implies(X6,X8),implies(X7,X4)),implies(X5,implies(implies(X4,X6),implies(X7,X6))))),
input ).
cnf(c0,plain,
( ~ is_a_theorem(implies(implies(X11,X9),implies(X10,X13)))
| is_a_theorem(implies(X12,implies(implies(X13,X11),implies(X10,X11)))) ),
inference(resolution,status(thm),[ic_JLukasiewicz_4,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(implies(X15,implies(implies(implies(implies(X17,X18),implies(X16,X18)),implies(X18,X14)),implies(X19,implies(X18,X14))))),
inference(resolution,status(thm),[c0,ic_JLukasiewicz_4]) ).
cnf(c2,plain,
( ~ is_a_theorem(X23)
| is_a_theorem(implies(implies(implies(implies(X24,X20),implies(X21,X20)),implies(X20,X25)),implies(X22,implies(X20,X25)))) ),
inference(resolution,status(thm),[c1,condensed_detachment]) ).
cnf(c4,plain,
is_a_theorem(implies(implies(implies(implies(X27,X26),implies(X30,X26)),implies(X26,X29)),implies(X28,implies(X26,X29)))),
inference(resolution,status(thm),[c2,c1]) ).
cnf(c7,plain,
is_a_theorem(implies(X67,implies(implies(implies(X68,X66),implies(implies(X71,X68),implies(X69,X68))),implies(X70,implies(implies(X71,X68),implies(X69,X68)))))),
inference(resolution,status(thm),[c4,c0]) ).
cnf(c6,plain,
( ~ is_a_theorem(implies(implies(implies(X40,X37),implies(X38,X37)),implies(X37,X36)))
| is_a_theorem(implies(X39,implies(X37,X36))) ),
inference(resolution,status(thm),[c4,condensed_detachment]) ).
cnf(c8,plain,
is_a_theorem(implies(X41,implies(implies(X43,X42),implies(X42,implies(X43,X42))))),
inference(resolution,status(thm),[c6,c4]) ).
cnf(c11,plain,
( ~ is_a_theorem(X56)
| is_a_theorem(implies(implies(X55,X57),implies(X57,implies(X55,X57)))) ),
inference(resolution,status(thm),[c8,condensed_detachment]) ).
cnf(c20,plain,
is_a_theorem(implies(implies(X59,X58),implies(X58,implies(X59,X58)))),
inference(resolution,status(thm),[c11,c4]) ).
cnf(c27,plain,
is_a_theorem(implies(X132,implies(implies(implies(X133,X131),X133),implies(X131,X133)))),
inference(resolution,status(thm),[c20,c0]) ).
cnf(c69,plain,
( ~ is_a_theorem(X135)
| is_a_theorem(implies(implies(implies(X134,X136),X134),implies(X136,X134))) ),
inference(resolution,status(thm),[c27,condensed_detachment]) ).
cnf(c74,plain,
is_a_theorem(implies(implies(implies(X138,X137),X138),implies(X137,X138))),
inference(resolution,status(thm),[c69,c7]) ).
cnf(c87,plain,
is_a_theorem(implies(X140,implies(X139,implies(X141,X139)))),
inference(resolution,status(thm),[c74,c6]) ).
cnf(c91,plain,
( ~ is_a_theorem(X143)
| is_a_theorem(implies(X142,implies(X144,X142))) ),
inference(resolution,status(thm),[c87,condensed_detachment]) ).
cnf(c96,plain,
is_a_theorem(implies(X152,implies(X153,X152))),
inference(resolution,status(thm),[c91,c7]) ).
cnf(c122,plain,
is_a_theorem(implies(X285,implies(implies(implies(X287,X284),X287),implies(X286,X287)))),
inference(resolution,status(thm),[c96,c0]) ).
cnf(c94,plain,
is_a_theorem(implies(X272,implies(implies(implies(X273,X271),X274),implies(X271,X274)))),
inference(resolution,status(thm),[c87,c0]) ).
cnf(c186,plain,
( ~ is_a_theorem(X324)
| is_a_theorem(implies(implies(implies(X325,X323),X326),implies(X323,X326))) ),
inference(resolution,status(thm),[c94,condensed_detachment]) ).
cnf(c226,plain,
is_a_theorem(implies(implies(implies(X328,X329),X327),implies(X329,X327))),
inference(resolution,status(thm),[c186,c122]) ).
cnf(c245,plain,
( ~ is_a_theorem(implies(implies(X409,X407),X408))
| is_a_theorem(implies(X407,X408)) ),
inference(resolution,status(thm),[c226,condensed_detachment]) ).
cnf(c10,plain,
is_a_theorem(implies(X45,implies(X44,implies(implies(X44,X47),implies(X46,X47))))),
inference(resolution,status(thm),[c6,ic_JLukasiewicz_4]) ).
cnf(c14,plain,
( ~ is_a_theorem(X81)
| is_a_theorem(implies(X83,implies(implies(X83,X82),implies(X84,X82)))) ),
inference(resolution,status(thm),[c10,condensed_detachment]) ).
cnf(c39,plain,
is_a_theorem(implies(X92,implies(implies(X92,X91),implies(X93,X91)))),
inference(resolution,status(thm),[c14,c7]) ).
cnf(c265,plain,
is_a_theorem(implies(X1008,implies(implies(implies(X1007,X1008),X1006),implies(X1009,X1006)))),
inference(resolution,status(thm),[c245,c39]) ).
cnf(c802,plain,
is_a_theorem(implies(X2378,implies(implies(implies(X2380,implies(X2377,X2378)),X2379),implies(X2376,X2379)))),
inference(resolution,status(thm),[c265,c245]) ).
cnf(c47,plain,
( ~ is_a_theorem(X119)
| is_a_theorem(implies(implies(X119,X120),implies(X121,X120))) ),
inference(resolution,status(thm),[c39,condensed_detachment]) ).
cnf(c120,plain,
( ~ is_a_theorem(X191)
| is_a_theorem(implies(X192,X191)) ),
inference(resolution,status(thm),[c96,condensed_detachment]) ).
cnf(c270,plain,
is_a_theorem(implies(X422,implies(X420,implies(X421,X422)))),
inference(resolution,status(thm),[c245,c96]) ).
cnf(c275,plain,
is_a_theorem(implies(X445,implies(X443,implies(X444,implies(X442,X443))))),
inference(resolution,status(thm),[c270,c120]) ).
cnf(c202,plain,
( ~ is_a_theorem(X495)
| is_a_theorem(implies(implies(implies(X497,X496),X497),implies(X494,X497))) ),
inference(resolution,status(thm),[c122,condensed_detachment]) ).
cnf(c349,plain,
is_a_theorem(implies(implies(implies(X499,X498),X499),implies(X500,X499))),
inference(resolution,status(thm),[c202,c275]) ).
cnf(c372,plain,
( ~ is_a_theorem(implies(implies(X615,X614),X615))
| is_a_theorem(implies(X613,X615)) ),
inference(resolution,status(thm),[c349,condensed_detachment]) ).
cnf(c448,plain,
is_a_theorem(implies(X616,implies(X617,X617))),
inference(resolution,status(thm),[c372,c226]) ).
cnf(c456,plain,
( ~ is_a_theorem(X620)
| is_a_theorem(implies(X621,X621)) ),
inference(resolution,status(thm),[c448,condensed_detachment]) ).
cnf(c466,plain,
is_a_theorem(implies(X627,X627)),
inference(resolution,status(thm),[c456,c275]) ).
cnf(c514,plain,
is_a_theorem(implies(implies(implies(X794,X794),X795),implies(X793,X795))),
inference(resolution,status(thm),[c466,c47]) ).
cnf(c378,plain,
is_a_theorem(implies(X1787,implies(implies(X1789,implies(X1789,X1788)),implies(X1786,implies(X1789,X1788))))),
inference(resolution,status(thm),[c349,c0]) ).
cnf(c1544,plain,
( ~ is_a_theorem(X4909)
| is_a_theorem(implies(implies(X4911,implies(X4911,X4910)),implies(X4912,implies(X4911,X4910)))) ),
inference(resolution,status(thm),[c378,condensed_detachment]) ).
cnf(c3750,plain,
is_a_theorem(implies(implies(X4915,implies(X4915,X4914)),implies(X4913,implies(X4915,X4914)))),
inference(resolution,status(thm),[c1544,c802]) ).
cnf(c3894,plain,
( ~ is_a_theorem(implies(X5724,implies(X5724,X5726)))
| is_a_theorem(implies(X5725,implies(X5724,X5726))) ),
inference(resolution,status(thm),[c3750,condensed_detachment]) ).
cnf(c4908,plain,
is_a_theorem(implies(X5760,implies(implies(implies(X5758,X5758),X5759),X5759))),
inference(resolution,status(thm),[c3894,c514]) ).
cnf(c5077,plain,
( ~ is_a_theorem(X5814)
| is_a_theorem(implies(implies(implies(X5815,X5815),X5813),X5813)) ),
inference(resolution,status(thm),[c4908,condensed_detachment]) ).
cnf(c5117,plain,
is_a_theorem(implies(implies(implies(X5828,X5828),X5827),X5827)),
inference(resolution,status(thm),[c5077,c802]) ).
cnf(c5313,plain,
( ~ is_a_theorem(implies(implies(X6366,X6366),X6365))
| is_a_theorem(X6365) ),
inference(resolution,status(thm),[c5117,condensed_detachment]) ).
cnf(c123,plain,
is_a_theorem(implies(implies(implies(X290,implies(X289,X290)),X291),implies(X288,X291))),
inference(resolution,status(thm),[c96,c47]) ).
cnf(c4922,plain,
is_a_theorem(implies(X7315,implies(implies(implies(X7314,implies(X7313,X7314)),X7312),X7312))),
inference(resolution,status(thm),[c3894,c123]) ).
cnf(c7168,plain,
is_a_theorem(implies(implies(implies(X7323,implies(X7324,X7323)),X7325),X7325)),
inference(resolution,status(thm),[c4922,c5313]) ).
cnf(c7245,plain,
( ~ is_a_theorem(implies(implies(X7366,implies(X7368,X7366)),X7367))
| is_a_theorem(X7367) ),
inference(resolution,status(thm),[c7168,condensed_detachment]) ).
cnf(c4953,plain,
is_a_theorem(implies(X7961,implies(implies(X7960,implies(X7960,X7962)),implies(X7960,X7962)))),
inference(resolution,status(thm),[c3894,c3750]) ).
cnf(c8641,plain,
is_a_theorem(implies(implies(X7964,implies(X7964,X7963)),implies(X7964,X7963))),
inference(resolution,status(thm),[c4953,c7245]) ).
cnf(c61,plain,
is_a_theorem(implies(implies(implies(X656,implies(implies(implies(implies(X658,X653),implies(X654,X653)),implies(X653,X659)),implies(X657,implies(X653,X659)))),X655),implies(X652,X655))),
inference(resolution,status(thm),[c47,c1]) ).
cnf(c16,plain,
is_a_theorem(implies(X127,implies(implies(implies(implies(X129,X128),implies(X130,X128)),X126),implies(X129,X126)))),
inference(resolution,status(thm),[c10,c0]) ).
cnf(c64,plain,
( ~ is_a_theorem(X693)
| is_a_theorem(implies(implies(implies(implies(X694,X691),implies(X692,X691)),X690),implies(X694,X690))) ),
inference(resolution,status(thm),[c16,condensed_detachment]) ).
cnf(c560,plain,
is_a_theorem(implies(implies(implies(implies(X1805,X1807),implies(X1806,X1807)),X1804),implies(X1805,X1804))),
inference(resolution,status(thm),[c64,c61]) ).
cnf(c1559,plain,
( ~ is_a_theorem(implies(implies(implies(X15934,X15935),implies(X15933,X15935)),X15932))
| is_a_theorem(implies(X15934,X15932)) ),
inference(resolution,status(thm),[c560,condensed_detachment]) ).
cnf(c20170,plain,
is_a_theorem(implies(X15977,implies(implies(X15977,X15976),X15976))),
inference(resolution,status(thm),[c1559,c8641]) ).
cnf(c20335,plain,
$false,
inference(resolution,status(thm),[c20170,prove_ic_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL094-1 : 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 : n008.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 : Sun Jul 3 15:00:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 19.96/20.12 # Version: 1.3
% 19.96/20.12 # SZS status Unsatisfiable
% 19.96/20.12 # SZS output start CNFRefutation
% See solution above
% 19.96/20.12
% 19.96/20.12 # Initial clauses : 3
% 19.96/20.12 # Processed clauses : 431
% 19.96/20.12 # Factors computed : 0
% 19.96/20.12 # Resolvents computed: 20380
% 19.96/20.12 # Tautologies deleted: 1
% 19.96/20.12 # Forward subsumed : 3622
% 19.96/20.12 # Backward subsumed : 35
% 19.96/20.12 # -------- CPU Time ---------
% 19.96/20.12 # User time : 19.735 s
% 19.96/20.12 # System time : 0.046 s
% 19.96/20.12 # Total time : 19.781 s
%------------------------------------------------------------------------------