TSTP Solution File: SYO634-1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYO634-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 : 300s
% DateTime : Thu May 9 17:51:02 EDT 2024
% Result : Unsatisfiable 1.00s 1.17s
% Output : Refutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 77 ( 13 unt; 0 nHn; 16 RR)
% Number of literals : 351 ( 0 equ; 285 neg)
% Maximal clause size : 11 ( 4 avg)
% Maximal term depth : 14 ( 4 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 346 ( 342 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_17_09,axiom,
'E'(f(X2),s(s(s(s(s(s(s(s(s('0')))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17_09) ).
cnf(clause_11_03,axiom,
'E'(f(X5),s(s(s(s(s(s(s(s(s(s('0'))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11_03) ).
cnf(clause_21_01,axiom,
( ~ 'E'(f(X9),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X8),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f(X8),s(s(s(s(s(s(s(s('0'))))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_21_01) ).
cnf(c0,plain,
( ~ 'E'(f(X22),s(s(s(s(s(s(s(s(s('0'))))))))))
| 'E'(f(X21),s(s(s(s(s(s(s(s('0'))))))))) ),
inference(resolution,[status(thm)],[clause_21_01,clause_11_03]) ).
cnf(c2,plain,
'E'(f(X23),s(s(s(s(s(s(s(s('0'))))))))),
inference(resolution,[status(thm)],[c0,clause_17_09]) ).
cnf(clause_12_14,axiom,
( ~ 'E'(f(X43),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X42),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X41),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(f(X42),s(s(s(s(s(s(s('0')))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12_14) ).
cnf(c6,plain,
( ~ 'E'(f(X46),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X44),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(f(X45),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[status(thm)],[clause_12_14,clause_11_03]) ).
cnf(c7,plain,
( ~ 'E'(f(X47),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(f(X48),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[status(thm)],[c6,clause_17_09]) ).
cnf(c8,plain,
'E'(f(X49),s(s(s(s(s(s(s('0')))))))),
inference(resolution,[status(thm)],[c7,c2]) ).
cnf(clause_1_06,axiom,
( ~ 'E'(f(X56),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X55),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X54),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X57),s(s(s(s(s(s(s('0'))))))))
| 'E'(f(X55),s(s(s(s(s(s('0'))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1_06) ).
cnf(c10,plain,
( ~ 'E'(f(X70),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X68),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X67),s(s(s(s(s(s(s('0'))))))))
| 'E'(f(X69),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[status(thm)],[clause_1_06,clause_11_03]) ).
cnf(c13,plain,
( ~ 'E'(f(X72),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X71),s(s(s(s(s(s(s('0'))))))))
| 'E'(f(X73),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[status(thm)],[c10,clause_17_09]) ).
cnf(c14,plain,
( ~ 'E'(f(X83),s(s(s(s(s(s(s('0'))))))))
| 'E'(f(X82),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[status(thm)],[c13,c2]) ).
cnf(c16,plain,
'E'(f(X84),s(s(s(s(s(s('0'))))))),
inference(resolution,[status(thm)],[c14,c8]) ).
cnf(clause_15_20,axiom,
( ~ 'E'(f(X112),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X113),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X111),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X114),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X115),s(s(s(s(s(s('0')))))))
| 'E'(f(X113),s(s(s(s(s('0')))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15_20) ).
cnf(c22,plain,
( ~ 'E'(f(X118),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X117),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X116),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X119),s(s(s(s(s(s('0')))))))
| 'E'(f(X120),s(s(s(s(s('0')))))) ),
inference(resolution,[status(thm)],[clause_15_20,clause_11_03]) ).
cnf(c23,plain,
( ~ 'E'(f(X122),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X123),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X124),s(s(s(s(s(s('0')))))))
| 'E'(f(X121),s(s(s(s(s('0')))))) ),
inference(resolution,[status(thm)],[c22,clause_17_09]) ).
cnf(c24,plain,
( ~ 'E'(f(X135),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X136),s(s(s(s(s(s('0')))))))
| 'E'(f(X137),s(s(s(s(s('0')))))) ),
inference(resolution,[status(thm)],[c23,c2]) ).
cnf(c26,plain,
( ~ 'E'(f(X138),s(s(s(s(s(s('0')))))))
| 'E'(f(X139),s(s(s(s(s('0')))))) ),
inference(resolution,[status(thm)],[c24,c8]) ).
cnf(c27,plain,
'E'(f(X140),s(s(s(s(s('0')))))),
inference(resolution,[status(thm)],[c26,c16]) ).
cnf(clause_9_12,axiom,
( ~ 'E'(f(X184),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X185),s(s(s(s(s('0'))))))
| ~ 'E'(f(X186),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X183),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X187),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X188),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X189)),s(s(s(s('0'))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9_12) ).
cnf(c35,plain,
( ~ 'E'(f(X218),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X216),s(s(s(s(s('0'))))))
| ~ 'E'(f(X215),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X213),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X214),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X217)),s(s(s(s('0'))))) ),
inference(resolution,[status(thm)],[clause_9_12,clause_11_03]) ).
cnf(c41,plain,
( ~ 'E'(f(X222),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X223),s(s(s(s(s('0'))))))
| ~ 'E'(f(X221),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X220),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X219)),s(s(s(s('0'))))) ),
inference(resolution,[status(thm)],[c35,clause_17_09]) ).
cnf(c42,plain,
( ~ 'E'(f(X227),s(s(s(s(s('0'))))))
| ~ 'E'(f(X226),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X225),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X224)),s(s(s(s('0'))))) ),
inference(resolution,[status(thm)],[c41,c2]) ).
cnf(c43,plain,
( ~ 'E'(f(X229),s(s(s(s(s('0'))))))
| ~ 'E'(f(X230),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X228)),s(s(s(s('0'))))) ),
inference(resolution,[status(thm)],[c42,c8]) ).
cnf(c44,plain,
( ~ 'E'(f(X232),s(s(s(s(s('0'))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X231)),s(s(s(s('0'))))) ),
inference(resolution,[status(thm)],[c43,c16]) ).
cnf(c45,plain,
'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X244)),s(s(s(s('0'))))),
inference(resolution,[status(thm)],[c44,c27]) ).
cnf(clause_18_15,axiom,
( ~ 'E'(f(X207),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X208),s(s(s(s(s('0'))))))
| ~ 'E'(f(X209),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X205),s(s(s(s('0')))))
| ~ 'E'(f(X206),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X210),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X211),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X212)),s(s(s('0')))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18_15) ).
cnf(c40,plain,
( ~ 'E'(f(X248),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X249),s(s(s(s(s('0'))))))
| ~ 'E'(f(X247),s(s(s(s('0')))))
| ~ 'E'(f(X246),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X245),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X251),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X250)),s(s(s('0')))) ),
inference(resolution,[status(thm)],[clause_18_15,clause_11_03]) ).
cnf(c47,plain,
( ~ 'E'(f(X252),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X253),s(s(s(s(s('0'))))))
| ~ 'E'(f(X254),s(s(s(s('0')))))
| ~ 'E'(f(X255),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X256),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X257)),s(s(s('0')))) ),
inference(resolution,[status(thm)],[c40,clause_17_09]) ).
cnf(c48,plain,
( ~ 'E'(f(X258),s(s(s(s(s('0'))))))
| ~ 'E'(f(X262),s(s(s(s('0')))))
| ~ 'E'(f(X260),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X261),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X259)),s(s(s('0')))) ),
inference(resolution,[status(thm)],[c47,c2]) ).
cnf(c49,plain,
( ~ 'E'(f(X264),s(s(s(s(s('0'))))))
| ~ 'E'(f(X266),s(s(s(s('0')))))
| ~ 'E'(f(X265),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X263)),s(s(s('0')))) ),
inference(resolution,[status(thm)],[c48,c8]) ).
cnf(c50,plain,
( ~ 'E'(f(X278),s(s(s(s(s('0'))))))
| ~ 'E'(f(X277),s(s(s(s('0')))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X276)),s(s(s('0')))) ),
inference(resolution,[status(thm)],[c49,c16]) ).
cnf(c52,plain,
( ~ 'E'(f(X279),s(s(s(s('0')))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X280)),s(s(s('0')))) ),
inference(resolution,[status(thm)],[c50,c27]) ).
cnf(c53,plain,
'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X281)),s(s(s('0')))),
inference(resolution,[status(thm)],[c52,c45]) ).
cnf(clause_3_17,axiom,
( ~ 'E'(f(X236),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X237),s(s(s(s(s('0'))))))
| ~ 'E'(f(X243),s('0'))
| ~ 'E'(f(X238),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X234),s(s(s(s('0')))))
| ~ 'E'(f(X239),s(s('0')))
| ~ 'E'(f(X235),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X241),s(s(s('0'))))
| ~ 'E'(f(X240),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X242),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X233),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3_17) ).
cnf(c46,plain,
( ~ 'E'(f(X331),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X333),s(s(s(s(s('0'))))))
| ~ 'E'(f(X337),s('0'))
| ~ 'E'(f(X338),s(s(s(s('0')))))
| ~ 'E'(f(X340),s(s('0')))
| ~ 'E'(f(X332),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X339),s(s(s('0'))))
| ~ 'E'(f(X334),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X336),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X335),'0') ),
inference(resolution,[status(thm)],[clause_3_17,clause_11_03]) ).
cnf(c62,plain,
( ~ 'E'(f(X342),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X343),s(s(s(s(s('0'))))))
| ~ 'E'(f(X348),s('0'))
| ~ 'E'(f(X341),s(s(s(s('0')))))
| ~ 'E'(f(X349),s(s('0')))
| ~ 'E'(f(X344),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X347),s(s(s('0'))))
| ~ 'E'(f(X346),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X345),'0') ),
inference(resolution,[status(thm)],[c46,clause_17_09]) ).
cnf(c63,plain,
( ~ 'E'(f(X350),s(s(s(s(s('0'))))))
| ~ 'E'(f(X353),s('0'))
| ~ 'E'(f(X356),s(s(s(s('0')))))
| ~ 'E'(f(X357),s(s('0')))
| ~ 'E'(f(X351),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X355),s(s(s('0'))))
| ~ 'E'(f(X354),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X352),'0') ),
inference(resolution,[status(thm)],[c62,c2]) ).
cnf(c64,plain,
( ~ 'E'(f(X364),s(s(s(s(s('0'))))))
| ~ 'E'(f(X360),s('0'))
| ~ 'E'(f(X358),s(s(s(s('0')))))
| ~ 'E'(f(X359),s(s('0')))
| ~ 'E'(f(X363),s(s(s('0'))))
| ~ 'E'(f(X361),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X362),'0') ),
inference(resolution,[status(thm)],[c63,c8]) ).
cnf(c65,plain,
( ~ 'E'(f(X369),s(s(s(s(s('0'))))))
| ~ 'E'(f(X365),s('0'))
| ~ 'E'(f(X370),s(s(s(s('0')))))
| ~ 'E'(f(X366),s(s('0')))
| ~ 'E'(f(X368),s(s(s('0'))))
| ~ 'E'(f(X367),'0') ),
inference(resolution,[status(thm)],[c64,c16]) ).
cnf(c66,plain,
( ~ 'E'(f(X380),s('0'))
| ~ 'E'(f(X382),s(s(s(s('0')))))
| ~ 'E'(f(X383),s(s('0')))
| ~ 'E'(f(X379),s(s(s('0'))))
| ~ 'E'(f(X381),'0') ),
inference(resolution,[status(thm)],[c65,c27]) ).
cnf(c68,plain,
( ~ 'E'(f(X384),s('0'))
| ~ 'E'(f(X386),s(s('0')))
| ~ 'E'(f(X387),s(s(s('0'))))
| ~ 'E'(f(X385),'0') ),
inference(resolution,[status(thm)],[c66,c45]) ).
cnf(c69,plain,
( ~ 'E'(f(X389),s('0'))
| ~ 'E'(f(X390),s(s('0')))
| ~ 'E'(f(X388),'0') ),
inference(resolution,[status(thm)],[c68,c53]) ).
cnf(clause_0_19,axiom,
( ~ 'E'(f(X269),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X270),s(s(s(s(s('0'))))))
| ~ 'E'(f(X271),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X267),s(s(s(s('0')))))
| ~ 'E'(f(X268),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X274),s(s(s('0'))))
| ~ 'E'(f(X272),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X273),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X275)),s(s('0'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_0_19) ).
cnf(c51,plain,
( ~ 'E'(f(X472),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X470),s(s(s(s(s('0'))))))
| ~ 'E'(f(X474),s(s(s(s('0')))))
| ~ 'E'(f(X467),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X473),s(s(s('0'))))
| ~ 'E'(f(X471),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X469),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X468)),s(s('0'))) ),
inference(resolution,[status(thm)],[clause_0_19,clause_11_03]) ).
cnf(c83,plain,
( ~ 'E'(f(X485),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X481),s(s(s(s(s('0'))))))
| ~ 'E'(f(X480),s(s(s(s('0')))))
| ~ 'E'(f(X484),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X486),s(s(s('0'))))
| ~ 'E'(f(X483),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X482)),s(s('0'))) ),
inference(resolution,[status(thm)],[c51,clause_17_09]) ).
cnf(c85,plain,
( ~ 'E'(f(X487),s(s(s(s(s('0'))))))
| ~ 'E'(f(X489),s(s(s(s('0')))))
| ~ 'E'(f(X490),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X491),s(s(s('0'))))
| ~ 'E'(f(X492),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X488)),s(s('0'))) ),
inference(resolution,[status(thm)],[c83,c2]) ).
cnf(c86,plain,
( ~ 'E'(f(X497),s(s(s(s(s('0'))))))
| ~ 'E'(f(X494),s(s(s(s('0')))))
| ~ 'E'(f(X495),s(s(s('0'))))
| ~ 'E'(f(X493),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X496)),s(s('0'))) ),
inference(resolution,[status(thm)],[c85,c8]) ).
cnf(c87,plain,
( ~ 'E'(f(X508),s(s(s(s(s('0'))))))
| ~ 'E'(f(X509),s(s(s(s('0')))))
| ~ 'E'(f(X511),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X510)),s(s('0'))) ),
inference(resolution,[status(thm)],[c86,c16]) ).
cnf(c89,plain,
( ~ 'E'(f(X512),s(s(s(s('0')))))
| ~ 'E'(f(X513),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X514)),s(s('0'))) ),
inference(resolution,[status(thm)],[c87,c27]) ).
cnf(c90,plain,
( ~ 'E'(f(X515),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X516)),s(s('0'))) ),
inference(resolution,[status(thm)],[c89,c45]) ).
cnf(c91,plain,
'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X517)),s(s('0'))),
inference(resolution,[status(thm)],[c90,c53]) ).
cnf(c92,plain,
( ~ 'E'(f(X519),s('0'))
| ~ 'E'(f(X518),'0') ),
inference(resolution,[status(thm)],[c91,c69]) ).
cnf(clause_8_11,axiom,
( ~ 'E'(f(X155),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X156),s(s(s(s(s('0'))))))
| ~ 'E'(f(X157),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X153),s(s(s(s('0')))))
| ~ 'E'(f(X158),s(s('0')))
| ~ 'E'(f(X154),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X160),s(s(s('0'))))
| ~ 'E'(f(X159),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X161),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X162)),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8_11) ).
cnf(c30,plain,
( ~ 'E'(f(X431),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X429),s(s(s(s(s('0'))))))
| ~ 'E'(f(X432),s(s(s(s('0')))))
| ~ 'E'(f(X428),s(s('0')))
| ~ 'E'(f(X434),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X436),s(s(s('0'))))
| ~ 'E'(f(X435),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X430),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X433)),s('0')) ),
inference(resolution,[status(thm)],[clause_8_11,clause_11_03]) ).
cnf(c77,plain,
( ~ 'E'(f(X443),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X438),s(s(s(s(s('0'))))))
| ~ 'E'(f(X439),s(s(s(s('0')))))
| ~ 'E'(f(X440),s(s('0')))
| ~ 'E'(f(X442),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X441),s(s(s('0'))))
| ~ 'E'(f(X444),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X437)),s('0')) ),
inference(resolution,[status(thm)],[c30,clause_17_09]) ).
cnf(c78,plain,
( ~ 'E'(f(X450),s(s(s(s(s('0'))))))
| ~ 'E'(f(X446),s(s(s(s('0')))))
| ~ 'E'(f(X451),s(s('0')))
| ~ 'E'(f(X447),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X449),s(s(s('0'))))
| ~ 'E'(f(X445),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X448)),s('0')) ),
inference(resolution,[status(thm)],[c77,c2]) ).
cnf(c79,plain,
( ~ 'E'(f(X454),s(s(s(s(s('0'))))))
| ~ 'E'(f(X457),s(s(s(s('0')))))
| ~ 'E'(f(X456),s(s('0')))
| ~ 'E'(f(X455),s(s(s('0'))))
| ~ 'E'(f(X452),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X453)),s('0')) ),
inference(resolution,[status(thm)],[c78,c8]) ).
cnf(c80,plain,
( ~ 'E'(f(X461),s(s(s(s(s('0'))))))
| ~ 'E'(f(X459),s(s(s(s('0')))))
| ~ 'E'(f(X462),s(s('0')))
| ~ 'E'(f(X460),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X458)),s('0')) ),
inference(resolution,[status(thm)],[c79,c16]) ).
cnf(c81,plain,
( ~ 'E'(f(X463),s(s(s(s('0')))))
| ~ 'E'(f(X466),s(s('0')))
| ~ 'E'(f(X464),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X465)),s('0')) ),
inference(resolution,[status(thm)],[c80,c27]) ).
cnf(c82,plain,
( ~ 'E'(f(X476),s(s('0')))
| ~ 'E'(f(X477),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X475)),s('0')) ),
inference(resolution,[status(thm)],[c81,c45]) ).
cnf(c84,plain,
( ~ 'E'(f(X478),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X479)),s('0')) ),
inference(resolution,[status(thm)],[c82,c53]) ).
cnf(c93,plain,
'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X529)),s('0')),
inference(resolution,[status(thm)],[c91,c84]) ).
cnf(c95,plain,
~ 'E'(f(X530),'0'),
inference(resolution,[status(thm)],[c93,c92]) ).
cnf(clause_10_22,axiom,
( ~ 'E'(f(X297),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X298),s(s(s(s(s('0'))))))
| ~ 'E'(f(X305),s('0'))
| ~ 'E'(f(X299),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X295),s(s(s(s('0')))))
| ~ 'E'(f(X300),s(s('0')))
| ~ 'E'(f(X296),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X302),s(s(s('0'))))
| ~ 'E'(f(X301),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X303),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X304)),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10_22) ).
cnf(c56,plain,
( ~ 'E'(f(X504),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X506),s(s(s(s(s('0'))))))
| ~ 'E'(f(X507),s('0'))
| ~ 'E'(f(X503),s(s(s(s('0')))))
| ~ 'E'(f(X500),s(s('0')))
| ~ 'E'(f(X502),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X501),s(s(s('0'))))
| ~ 'E'(f(X505),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X499),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X498)),'0') ),
inference(resolution,[status(thm)],[clause_10_22,clause_11_03]) ).
cnf(c88,plain,
( ~ 'E'(f(X577),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X583),s(s(s(s(s('0'))))))
| ~ 'E'(f(X578),s('0'))
| ~ 'E'(f(X576),s(s(s(s('0')))))
| ~ 'E'(f(X580),s(s('0')))
| ~ 'E'(f(X581),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X579),s(s(s('0'))))
| ~ 'E'(f(X582),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X575)),'0') ),
inference(resolution,[status(thm)],[c56,clause_17_09]) ).
cnf(c104,plain,
( ~ 'E'(f(X614),s(s(s(s(s('0'))))))
| ~ 'E'(f(X615),s('0'))
| ~ 'E'(f(X613),s(s(s(s('0')))))
| ~ 'E'(f(X612),s(s('0')))
| ~ 'E'(f(X610),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X611),s(s(s('0'))))
| ~ 'E'(f(X609),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X616)),'0') ),
inference(resolution,[status(thm)],[c88,c2]) ).
cnf(c110,plain,
( ~ 'E'(f(X620),s(s(s(s(s('0'))))))
| ~ 'E'(f(X621),s('0'))
| ~ 'E'(f(X622),s(s(s(s('0')))))
| ~ 'E'(f(X626),s(s('0')))
| ~ 'E'(f(X623),s(s(s('0'))))
| ~ 'E'(f(X625),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X624)),'0') ),
inference(resolution,[status(thm)],[c104,c8]) ).
cnf(c112,plain,
( ~ 'E'(f(X632),s(s(s(s(s('0'))))))
| ~ 'E'(f(X627),s('0'))
| ~ 'E'(f(X631),s(s(s(s('0')))))
| ~ 'E'(f(X628),s(s('0')))
| ~ 'E'(f(X629),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X630)),'0') ),
inference(resolution,[status(thm)],[c110,c16]) ).
cnf(c113,plain,
( ~ 'E'(f(X634),s('0'))
| ~ 'E'(f(X637),s(s(s(s('0')))))
| ~ 'E'(f(X636),s(s('0')))
| ~ 'E'(f(X633),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X635)),'0') ),
inference(resolution,[status(thm)],[c112,c27]) ).
cnf(c114,plain,
( ~ 'E'(f(X639),s('0'))
| ~ 'E'(f(X638),s(s('0')))
| ~ 'E'(f(X641),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X640)),'0') ),
inference(resolution,[status(thm)],[c113,c45]) ).
cnf(c115,plain,
( ~ 'E'(f(X642),s('0'))
| ~ 'E'(f(X644),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X643)),'0') ),
inference(resolution,[status(thm)],[c114,c53]) ).
cnf(c116,plain,
( ~ 'E'(f(X645),s('0'))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X646)),'0') ),
inference(resolution,[status(thm)],[c115,c91]) ).
cnf(c117,plain,
'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X647)),'0'),
inference(resolution,[status(thm)],[c116,c93]) ).
cnf(c118,plain,
$false,
inference(resolution,[status(thm)],[c117,c95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : SYO634-1 : TPTP v8.1.2. Released v7.1.0.
% 0.04/0.11 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.32 % Computer : n011.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed May 8 18:01:53 EDT 2024
% 0.10/0.33 % CPUTime :
% 1.00/1.17 % Version: 1.5
% 1.00/1.17 % SZS status Unsatisfiable
% 1.00/1.17 % SZS output start CNFRefutation
% See solution above
% 1.00/1.17
% 1.00/1.17 % Initial clauses : 23
% 1.00/1.17 % Processed clauses : 141
% 1.00/1.17 % Factors computed : 0
% 1.00/1.17 % Resolvents computed: 119
% 1.00/1.17 % Tautologies deleted: 0
% 1.00/1.17 % Forward subsumed : 0
% 1.00/1.17 % Backward subsumed : 118
% 1.00/1.17 % -------- CPU Time ---------
% 1.00/1.17 % User time : 0.833 s
% 1.00/1.17 % System time : 0.012 s
% 1.00/1.17 % Total time : 0.845 s
%------------------------------------------------------------------------------