TSTP Solution File: LCL089-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL089-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 13:51:58 EDT 2022
% Result : Unsatisfiable 7.81s 8.00s
% Output : Refutation 7.81s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ic_4,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
input ).
cnf(ic_JLukasiewicz_4,axiom,
is_a_theorem(implies(implies(implies(X4,X5),implies(X7,X8)),implies(X6,implies(implies(X8,X4),implies(X7,X4))))),
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(X9,X11),implies(X13,X12)))
| is_a_theorem(implies(X10,implies(implies(X12,X9),implies(X13,X9)))) ),
inference(resolution,status(thm),[ic_JLukasiewicz_4,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(implies(X19,implies(implies(implies(implies(X18,X14),implies(X17,X14)),implies(X14,X16)),implies(X15,implies(X14,X16))))),
inference(resolution,status(thm),[c0,ic_JLukasiewicz_4]) ).
cnf(c2,plain,
( ~ is_a_theorem(X24)
| is_a_theorem(implies(implies(implies(implies(X20,X22),implies(X25,X22)),implies(X22,X23)),implies(X21,implies(X22,X23)))) ),
inference(resolution,status(thm),[c1,condensed_detachment]) ).
cnf(c4,plain,
is_a_theorem(implies(implies(implies(implies(X29,X27),implies(X30,X27)),implies(X27,X28)),implies(X26,implies(X27,X28)))),
inference(resolution,status(thm),[c2,c1]) ).
cnf(c6,plain,
( ~ is_a_theorem(implies(implies(implies(X38,X40),implies(X39,X40)),implies(X40,X36)))
| is_a_theorem(implies(X37,implies(X40,X36))) ),
inference(resolution,status(thm),[c4,condensed_detachment]) ).
cnf(c7,plain,
is_a_theorem(implies(X69,implies(implies(implies(X70,X66),implies(implies(X67,X70),implies(X68,X70))),implies(X71,implies(implies(X67,X70),implies(X68,X70)))))),
inference(resolution,status(thm),[c4,c0]) ).
cnf(c9,plain,
is_a_theorem(implies(X43,implies(implies(X42,X41),implies(X41,implies(X42,X41))))),
inference(resolution,status(thm),[c6,c4]) ).
cnf(c11,plain,
( ~ is_a_theorem(X55)
| is_a_theorem(implies(implies(X56,X57),implies(X57,implies(X56,X57)))) ),
inference(resolution,status(thm),[c9,condensed_detachment]) ).
cnf(c20,plain,
is_a_theorem(implies(implies(X58,X59),implies(X59,implies(X58,X59)))),
inference(resolution,status(thm),[c11,c4]) ).
cnf(c27,plain,
is_a_theorem(implies(X133,implies(implies(implies(X131,X132),X131),implies(X132,X131)))),
inference(resolution,status(thm),[c20,c0]) ).
cnf(c69,plain,
( ~ is_a_theorem(X134)
| is_a_theorem(implies(implies(implies(X136,X135),X136),implies(X135,X136))) ),
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(X141,implies(X139,X141)))),
inference(resolution,status(thm),[c74,c6]) ).
cnf(c91,plain,
( ~ is_a_theorem(X142)
| is_a_theorem(implies(X144,implies(X143,X144))) ),
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(c120,plain,
( ~ is_a_theorem(X191)
| is_a_theorem(implies(X192,X191)) ),
inference(resolution,status(thm),[c96,condensed_detachment]) ).
cnf(c139,plain,
is_a_theorem(implies(X246,implies(X249,implies(X248,implies(X247,X248))))),
inference(resolution,status(thm),[c120,c87]) ).
cnf(c94,plain,
is_a_theorem(implies(X274,implies(implies(implies(X271,X273),X272),implies(X273,X272)))),
inference(resolution,status(thm),[c87,c0]) ).
cnf(c186,plain,
( ~ is_a_theorem(X323)
| is_a_theorem(implies(implies(implies(X325,X324),X326),implies(X324,X326))) ),
inference(resolution,status(thm),[c94,condensed_detachment]) ).
cnf(c226,plain,
is_a_theorem(implies(implies(implies(X329,X327),X328),implies(X327,X328))),
inference(resolution,status(thm),[c186,c139]) ).
cnf(c245,plain,
( ~ is_a_theorem(implies(implies(X407,X409),X408))
| is_a_theorem(implies(X409,X408)) ),
inference(resolution,status(thm),[c226,condensed_detachment]) ).
cnf(c254,plain,
is_a_theorem(implies(implies(X1650,X1649),implies(X1647,implies(implies(X1649,X1648),implies(X1650,X1648))))),
inference(resolution,status(thm),[c245,ic_JLukasiewicz_4]) ).
cnf(c270,plain,
is_a_theorem(implies(X422,implies(X420,implies(X421,X422)))),
inference(resolution,status(thm),[c245,c96]) ).
cnf(c276,plain,
is_a_theorem(implies(X442,implies(X443,implies(X444,implies(X445,X443))))),
inference(resolution,status(thm),[c270,c120]) ).
cnf(c122,plain,
is_a_theorem(implies(X287,implies(implies(implies(X284,X286),X284),implies(X285,X284)))),
inference(resolution,status(thm),[c96,c0]) ).
cnf(c202,plain,
( ~ is_a_theorem(X494)
| is_a_theorem(implies(implies(implies(X497,X495),X497),implies(X496,X497))) ),
inference(resolution,status(thm),[c122,condensed_detachment]) ).
cnf(c349,plain,
is_a_theorem(implies(implies(implies(X500,X499),X500),implies(X498,X500))),
inference(resolution,status(thm),[c202,c276]) ).
cnf(c378,plain,
is_a_theorem(implies(X1789,implies(implies(X1786,implies(X1786,X1788)),implies(X1787,implies(X1786,X1788))))),
inference(resolution,status(thm),[c349,c0]) ).
cnf(c10,plain,
is_a_theorem(implies(X46,implies(X47,implies(implies(X47,X44),implies(X45,X44))))),
inference(resolution,status(thm),[c6,ic_JLukasiewicz_4]) ).
cnf(c14,plain,
( ~ is_a_theorem(X81)
| is_a_theorem(implies(X82,implies(implies(X82,X83),implies(X84,X83)))) ),
inference(resolution,status(thm),[c10,condensed_detachment]) ).
cnf(c39,plain,
is_a_theorem(implies(X92,implies(implies(X92,X93),implies(X91,X93)))),
inference(resolution,status(thm),[c14,c7]) ).
cnf(c47,plain,
( ~ is_a_theorem(X119)
| is_a_theorem(implies(implies(X119,X121),implies(X120,X121))) ),
inference(resolution,status(thm),[c39,condensed_detachment]) ).
cnf(c372,plain,
( ~ is_a_theorem(implies(implies(X614,X615),X614))
| is_a_theorem(implies(X613,X614)) ),
inference(resolution,status(thm),[c349,condensed_detachment]) ).
cnf(c447,plain,
is_a_theorem(implies(X617,implies(X616,X616))),
inference(resolution,status(thm),[c372,c226]) ).
cnf(c456,plain,
( ~ is_a_theorem(X620)
| is_a_theorem(implies(X621,X621)) ),
inference(resolution,status(thm),[c447,condensed_detachment]) ).
cnf(c466,plain,
is_a_theorem(implies(X627,X627)),
inference(resolution,status(thm),[c456,c276]) ).
cnf(c514,plain,
is_a_theorem(implies(implies(implies(X795,X795),X793),implies(X794,X793))),
inference(resolution,status(thm),[c466,c47]) ).
cnf(c1540,plain,
( ~ is_a_theorem(X4886)
| is_a_theorem(implies(implies(X4888,implies(X4888,X4887)),implies(X4889,implies(X4888,X4887)))) ),
inference(resolution,status(thm),[c378,condensed_detachment]) ).
cnf(c3724,plain,
is_a_theorem(implies(implies(X4895,implies(X4895,X4896)),implies(X4897,implies(X4895,X4896)))),
inference(resolution,status(thm),[c1540,c378]) ).
cnf(c3865,plain,
( ~ is_a_theorem(implies(X5669,implies(X5669,X5670)))
| is_a_theorem(implies(X5671,implies(X5669,X5670))) ),
inference(resolution,status(thm),[c3724,condensed_detachment]) ).
cnf(c4739,plain,
is_a_theorem(implies(X5711,implies(implies(implies(X5710,X5710),X5709),X5709))),
inference(resolution,status(thm),[c3865,c514]) ).
cnf(c5015,plain,
( ~ is_a_theorem(X5786)
| is_a_theorem(implies(implies(implies(X5788,X5788),X5787),X5787)) ),
inference(resolution,status(thm),[c4739,condensed_detachment]) ).
cnf(c5114,plain,
is_a_theorem(implies(implies(implies(X5797,X5797),X5798),X5798)),
inference(resolution,status(thm),[c5015,c378]) ).
cnf(c5280,plain,
( ~ is_a_theorem(implies(implies(X6318,X6318),X6319))
| is_a_theorem(X6319) ),
inference(resolution,status(thm),[c5114,condensed_detachment]) ).
cnf(c4743,plain,
is_a_theorem(implies(X7348,implies(implies(X7346,implies(X7346,X7347)),implies(X7346,X7347)))),
inference(resolution,status(thm),[c3865,c3724]) ).
cnf(c7414,plain,
is_a_theorem(implies(implies(X7350,implies(X7350,X7349)),implies(X7350,X7349))),
inference(resolution,status(thm),[c4743,c5280]) ).
cnf(c7442,plain,
( ~ is_a_theorem(implies(X7391,implies(X7391,X7392)))
| is_a_theorem(implies(X7391,X7392)) ),
inference(resolution,status(thm),[c7414,condensed_detachment]) ).
cnf(c7532,plain,
is_a_theorem(implies(implies(X9365,X9366),implies(implies(X9366,X9367),implies(X9365,X9367)))),
inference(resolution,status(thm),[c7442,c254]) ).
cnf(c9956,plain,
$false,
inference(resolution,status(thm),[c7532,prove_ic_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL089-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n021.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 19:18:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.81/8.00 # Version: 1.3
% 7.81/8.00 # SZS status Unsatisfiable
% 7.81/8.00 # SZS output start CNFRefutation
% See solution above
% 7.81/8.01
% 7.81/8.01 # Initial clauses : 3
% 7.81/8.01 # Processed clauses : 287
% 7.81/8.01 # Factors computed : 0
% 7.81/8.01 # Resolvents computed: 9993
% 7.81/8.01 # Tautologies deleted: 1
% 7.81/8.01 # Forward subsumed : 2125
% 7.81/8.01 # Backward subsumed : 31
% 7.81/8.01 # -------- CPU Time ---------
% 7.81/8.01 # User time : 7.634 s
% 7.81/8.01 # System time : 0.033 s
% 7.81/8.01 # Total time : 7.667 s
%------------------------------------------------------------------------------