TSTP Solution File: LCL090-1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL090-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 13:51:59 EDT 2022
% Result : Unsatisfiable 6.80s 6.99s
% Output : Refutation 6.80s
% 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(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(X3)
| is_a_theorem(X2) ),
input ).
cnf(ic_JLukasiewicz_5,axiom,
is_a_theorem(implies(implies(implies(X6,X7),implies(X8,X4)),implies(implies(X4,X6),implies(X5,implies(X8,X6))))),
input ).
cnf(c0,plain,
( ~ is_a_theorem(implies(implies(X11,X12),implies(X10,X9)))
| is_a_theorem(implies(implies(X9,X11),implies(X13,implies(X10,X11)))) ),
inference(resolution,status(thm),[ic_JLukasiewicz_5,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(implies(implies(implies(X19,implies(X15,X16)),implies(X16,X17)),implies(X18,implies(implies(X14,X16),implies(X16,X17))))),
inference(resolution,status(thm),[c0,ic_JLukasiewicz_5]) ).
cnf(c3,plain,
( ~ is_a_theorem(implies(implies(X31,implies(X30,X27)),implies(X27,X32)))
| is_a_theorem(implies(X29,implies(implies(X28,X27),implies(X27,X32)))) ),
inference(resolution,status(thm),[c1,condensed_detachment]) ).
cnf(c7,plain,
is_a_theorem(implies(X37,implies(implies(X35,X36),implies(X36,implies(implies(X34,X33),implies(X33,X36)))))),
inference(resolution,status(thm),[c3,c1]) ).
cnf(c9,plain,
( ~ is_a_theorem(X38)
| is_a_theorem(implies(implies(X40,X41),implies(X41,implies(implies(X39,X42),implies(X42,X41))))) ),
inference(resolution,status(thm),[c7,condensed_detachment]) ).
cnf(c11,plain,
is_a_theorem(implies(implies(X43,X46),implies(X46,implies(implies(X45,X44),implies(X44,X46))))),
inference(resolution,status(thm),[c9,ic_JLukasiewicz_5]) ).
cnf(c15,plain,
is_a_theorem(implies(implies(implies(implies(X72,X71),implies(X71,X73)),X74),implies(X75,implies(X73,X74)))),
inference(resolution,status(thm),[c11,c0]) ).
cnf(c29,plain,
is_a_theorem(implies(X80,implies(implies(X77,X79),implies(X79,implies(X76,implies(X78,X79)))))),
inference(resolution,status(thm),[c15,c3]) ).
cnf(c32,plain,
( ~ is_a_theorem(X88)
| is_a_theorem(implies(implies(X91,X90),implies(X90,implies(X89,implies(X92,X90))))) ),
inference(resolution,status(thm),[c29,condensed_detachment]) ).
cnf(c35,plain,
is_a_theorem(implies(implies(X94,X96),implies(X96,implies(X95,implies(X93,X96))))),
inference(resolution,status(thm),[c32,ic_JLukasiewicz_5]) ).
cnf(c42,plain,
is_a_theorem(implies(implies(implies(X131,implies(X132,X133)),X134),implies(X135,implies(X133,X134)))),
inference(resolution,status(thm),[c35,c0]) ).
cnf(c44,plain,
( ~ is_a_theorem(implies(X128,X129))
| is_a_theorem(implies(X129,implies(X127,implies(X130,X129)))) ),
inference(resolution,status(thm),[c35,condensed_detachment]) ).
cnf(c50,plain,
is_a_theorem(implies(implies(X360,implies(X359,X361)),implies(X362,implies(X363,implies(X360,implies(X359,X361)))))),
inference(resolution,status(thm),[c44,c15]) ).
cnf(c210,plain,
( ~ is_a_theorem(implies(X683,implies(X682,X686)))
| is_a_theorem(implies(X684,implies(X685,implies(X683,implies(X682,X686))))) ),
inference(resolution,status(thm),[c50,condensed_detachment]) ).
cnf(c355,plain,
is_a_theorem(implies(X2436,implies(X2437,implies(implies(implies(X2435,implies(X2439,X2438)),X2434),implies(X2433,implies(X2438,X2434)))))),
inference(resolution,status(thm),[c210,c42]) ).
cnf(c52,plain,
is_a_theorem(implies(implies(implies(X891,X887),implies(X889,implies(X892,X891))),implies(X890,implies(X888,implies(X889,implies(X892,X891)))))),
inference(resolution,status(thm),[c42,c0]) ).
cnf(c465,plain,
is_a_theorem(implies(implies(implies(X7528,implies(X7532,implies(X7530,X7527))),implies(X7527,X7531)),implies(X7533,implies(X7529,implies(X7527,X7531))))),
inference(resolution,status(thm),[c52,c0]) ).
cnf(c53,plain,
( ~ is_a_theorem(implies(implies(X143,implies(X146,X145)),X142))
| is_a_theorem(implies(X144,implies(X145,X142))) ),
inference(resolution,status(thm),[c42,condensed_detachment]) ).
cnf(c60,plain,
is_a_theorem(implies(X217,implies(X219,implies(implies(X219,X220),implies(X221,implies(X218,X220)))))),
inference(resolution,status(thm),[c53,ic_JLukasiewicz_5]) ).
cnf(c115,plain,
( ~ is_a_theorem(X253)
| is_a_theorem(implies(X256,implies(implies(X256,X255),implies(X257,implies(X254,X255))))) ),
inference(resolution,status(thm),[c60,condensed_detachment]) ).
cnf(c137,plain,
is_a_theorem(implies(X267,implies(implies(X267,X266),implies(X265,implies(X264,X266))))),
inference(resolution,status(thm),[c115,ic_JLukasiewicz_5]) ).
cnf(c155,plain,
( ~ is_a_theorem(X331)
| is_a_theorem(implies(implies(X331,X334),implies(X333,implies(X332,X334)))) ),
inference(resolution,status(thm),[c137,condensed_detachment]) ).
cnf(c188,plain,
is_a_theorem(implies(implies(implies(implies(implies(X3533,implies(X3532,X3528)),implies(X3528,X3534)),implies(X3531,implies(implies(X3529,X3528),implies(X3528,X3534)))),X3527),implies(X3535,implies(X3530,X3527)))),
inference(resolution,status(thm),[c155,c1]) ).
cnf(c2,plain,
is_a_theorem(implies(implies(implies(implies(X22,X20),implies(X20,X26)),implies(X24,implies(X23,X20))),implies(X25,implies(X21,implies(X24,implies(X23,X20)))))),
inference(resolution,status(thm),[c1,c0]) ).
cnf(c4,plain,
is_a_theorem(implies(implies(implies(X54,implies(X53,implies(X56,X52))),implies(implies(X51,X52),implies(X52,X57))),implies(X58,implies(X55,implies(implies(X51,X52),implies(X52,X57)))))),
inference(resolution,status(thm),[c2,c0]) ).
cnf(c18,plain,
( ~ is_a_theorem(implies(implies(X222,implies(X226,implies(X223,X228))),implies(implies(X224,X228),implies(X228,X229))))
| is_a_theorem(implies(X227,implies(X225,implies(implies(X224,X228),implies(X228,X229))))) ),
inference(resolution,status(thm),[c4,condensed_detachment]) ).
cnf(c118,plain,
is_a_theorem(implies(X613,implies(X616,implies(implies(implies(X614,X615),X615),implies(X615,implies(X612,X615)))))),
inference(resolution,status(thm),[c18,ic_JLukasiewicz_5]) ).
cnf(c337,plain,
( ~ is_a_theorem(X1051)
| is_a_theorem(implies(X1053,implies(implies(implies(X1055,X1054),X1054),implies(X1054,implies(X1052,X1054))))) ),
inference(resolution,status(thm),[c118,condensed_detachment]) ).
cnf(c538,plain,
is_a_theorem(implies(X1059,implies(implies(implies(X1056,X1057),X1057),implies(X1057,implies(X1058,X1057))))),
inference(resolution,status(thm),[c337,ic_JLukasiewicz_5]) ).
cnf(c573,plain,
( ~ is_a_theorem(X1212)
| is_a_theorem(implies(implies(implies(X1214,X1215),X1215),implies(X1215,implies(X1213,X1215)))) ),
inference(resolution,status(thm),[c538,condensed_detachment]) ).
cnf(c610,plain,
is_a_theorem(implies(implies(implies(X1217,X1216),X1216),implies(X1216,implies(X1218,X1216)))),
inference(resolution,status(thm),[c573,ic_JLukasiewicz_5]) ).
cnf(c648,plain,
is_a_theorem(implies(implies(implies(X1644,X1641),implies(X1643,X1641)),implies(X1642,implies(X1641,implies(X1643,X1641))))),
inference(resolution,status(thm),[c610,c0]) ).
cnf(c26,plain,
is_a_theorem(implies(implies(implies(X467,X465),implies(implies(X466,X468),implies(X468,X467))),implies(X470,implies(X469,implies(implies(X466,X468),implies(X468,X467)))))),
inference(resolution,status(thm),[c15,c0]) ).
cnf(c252,plain,
( ~ is_a_theorem(implies(implies(X4621,X4619),implies(implies(X4620,X4617),implies(X4617,X4621))))
| is_a_theorem(implies(X4616,implies(X4618,implies(implies(X4620,X4617),implies(X4617,X4621))))) ),
inference(resolution,status(thm),[c26,condensed_detachment]) ).
cnf(c2570,plain,
is_a_theorem(implies(X4624,implies(X4625,implies(implies(X4622,X4623),implies(X4623,implies(X4626,X4623)))))),
inference(resolution,status(thm),[c252,c648]) ).
cnf(c2613,plain,
( ~ is_a_theorem(X4631)
| is_a_theorem(implies(X4635,implies(implies(X4634,X4633),implies(X4633,implies(X4632,X4633))))) ),
inference(resolution,status(thm),[c2570,condensed_detachment]) ).
cnf(c2634,plain,
is_a_theorem(implies(X4637,implies(implies(X4639,X4638),implies(X4638,implies(X4636,X4638))))),
inference(resolution,status(thm),[c2613,c355]) ).
cnf(c2728,plain,
( ~ is_a_theorem(X5160)
| is_a_theorem(implies(implies(X5161,X5162),implies(X5162,implies(X5163,X5162)))) ),
inference(resolution,status(thm),[c2634,condensed_detachment]) ).
cnf(c3035,plain,
is_a_theorem(implies(implies(X5165,X5166),implies(X5166,implies(X5164,X5166)))),
inference(resolution,status(thm),[c2728,c355]) ).
cnf(c3139,plain,
( ~ is_a_theorem(implies(X5642,X5643))
| is_a_theorem(implies(X5643,implies(X5641,X5643))) ),
inference(resolution,status(thm),[c3035,condensed_detachment]) ).
cnf(c3570,plain,
is_a_theorem(implies(implies(X6755,implies(X6758,X6757)),implies(X6756,implies(X6755,implies(X6758,X6757))))),
inference(resolution,status(thm),[c3139,c188]) ).
cnf(c4698,plain,
is_a_theorem(implies(implies(implies(X7372,implies(X7373,X7371)),X7372),implies(X7374,implies(X7370,X7372)))),
inference(resolution,status(thm),[c3570,c0]) ).
cnf(c5103,plain,
( ~ is_a_theorem(implies(implies(X7573,implies(X7570,X7571)),X7573))
| is_a_theorem(implies(X7572,implies(X7574,X7573))) ),
inference(resolution,status(thm),[c4698,condensed_detachment]) ).
cnf(c5397,plain,
is_a_theorem(implies(X7576,implies(X7575,implies(X7579,implies(X7577,implies(X7578,X7578)))))),
inference(resolution,status(thm),[c5103,c465]) ).
cnf(c5480,plain,
( ~ is_a_theorem(X7590)
| is_a_theorem(implies(X7593,implies(X7592,implies(X7591,implies(X7594,X7594))))) ),
inference(resolution,status(thm),[c5397,condensed_detachment]) ).
cnf(c5529,plain,
is_a_theorem(implies(X7602,implies(X7604,implies(X7601,implies(X7603,X7603))))),
inference(resolution,status(thm),[c5480,c355]) ).
cnf(c5819,plain,
( ~ is_a_theorem(X8429)
| is_a_theorem(implies(X8431,implies(X8432,implies(X8430,X8430)))) ),
inference(resolution,status(thm),[c5529,condensed_detachment]) ).
cnf(c6208,plain,
is_a_theorem(implies(X8443,implies(X8442,implies(X8441,X8441)))),
inference(resolution,status(thm),[c5819,c355]) ).
cnf(c6374,plain,
( ~ is_a_theorem(X9262)
| is_a_theorem(implies(X9263,implies(X9264,X9264))) ),
inference(resolution,status(thm),[c6208,condensed_detachment]) ).
cnf(c6935,plain,
is_a_theorem(implies(X9266,implies(X9265,X9265))),
inference(resolution,status(thm),[c6374,c355]) ).
cnf(c7122,plain,
( ~ is_a_theorem(X9939)
| is_a_theorem(implies(X9940,X9940)) ),
inference(resolution,status(thm),[c6935,condensed_detachment]) ).
cnf(c7578,plain,
is_a_theorem(implies(X9941,X9941)),
inference(resolution,status(thm),[c7122,c355]) ).
cnf(c7785,plain,
$false,
inference(resolution,status(thm),[c7578,prove_ic_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LCL090-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n003.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 : Sat Jul 2 22:25:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.80/6.99 # Version: 1.3
% 6.80/6.99 # SZS status Unsatisfiable
% 6.80/6.99 # SZS output start CNFRefutation
% See solution above
% 6.80/6.99
% 6.80/6.99 # Initial clauses : 3
% 6.80/6.99 # Processed clauses : 292
% 6.80/6.99 # Factors computed : 0
% 6.80/6.99 # Resolvents computed: 7796
% 6.80/6.99 # Tautologies deleted: 0
% 6.80/6.99 # Forward subsumed : 1728
% 6.80/6.99 # Backward subsumed : 70
% 6.80/6.99 # -------- CPU Time ---------
% 6.80/6.99 # User time : 6.621 s
% 6.80/6.99 # System time : 0.025 s
% 6.80/6.99 # Total time : 6.646 s
%------------------------------------------------------------------------------