TSTP Solution File: SYO630-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SYO630-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 : Thu Jul 21 19:22:56 EDT 2022
% Result : Unsatisfiable 1.40s 1.60s
% Output : Refutation 1.40s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_31_05,axiom,
~ 'E'(f(X13),f(g(X13))),
input ).
cnf(clause_6_07,axiom,
~ 'LE'(f(X16),'0'),
input ).
cnf(clause_13_02,axiom,
iLEQ(X9,g(X9)),
input ).
cnf(clause_1_06,axiom,
( ~ 'LE'(f(X20),s('0'))
| ~ iLEQ(X20,X19)
| 'E'('0',f(X19))
| 'LE'(f(X19),'0') ),
input ).
cnf(clause_17_32,axiom,
( ~ 'LE'(f(X28),s(s('0')))
| ~ iLEQ(X28,X29)
| 'E'(s('0'),f(X29))
| 'LE'(f(X29),s('0')) ),
input ).
cnf(clause_18_04,axiom,
iLEQ(X2,X2),
input ).
cnf(clause_16_15,axiom,
( ~ 'LE'(f(X33),s(s(s('0'))))
| ~ iLEQ(X33,X32)
| 'E'(s(s('0')),f(X32))
| 'LE'(f(X32),s(s('0'))) ),
input ).
cnf(clause_26_17,axiom,
( ~ 'LE'(f(X38),s(s(s(s('0')))))
| ~ iLEQ(X38,X37)
| 'E'(s(s(s('0'))),f(X37))
| 'LE'(f(X37),s(s(s('0')))) ),
input ).
cnf(clause_8_01,axiom,
( 'E'(s(s(s(s(s('0'))))),f(X7))
| 'LE'(f(X7),s(s(s(s(s('0')))))) ),
input ).
cnf(clause_7_16,axiom,
( ~ 'LE'(f(X34),s(s(s(s(s('0'))))))
| ~ iLEQ(X34,X35)
| 'E'(s(s(s(s('0')))),f(X35))
| 'LE'(f(X35),s(s(s(s('0'))))) ),
input ).
cnf(c1,plain,
( ~ iLEQ(X42,X43)
| 'E'(s(s(s(s('0')))),f(X43))
| 'LE'(f(X43),s(s(s(s('0')))))
| 'E'(s(s(s(s(s('0'))))),f(X42)) ),
inference(resolution,status(thm),[clause_7_16,clause_8_01]) ).
cnf(c8,plain,
( 'E'(s(s(s(s('0')))),f(g(X45)))
| 'LE'(f(g(X45)),s(s(s(s('0')))))
| 'E'(s(s(s(s(s('0'))))),f(X45)) ),
inference(resolution,status(thm),[c1,clause_13_02]) ).
cnf(clause_3_10,axiom,
( ~ 'E'(s(s(s(s(s('0'))))),f(X26))
| ~ 'E'(s(s(s(s(s('0'))))),f(g(X26)))
| 'E'(f(X26),f(g(X26))) ),
input ).
cnf(c9,plain,
( 'E'(s(s(s(s('0')))),f(X44))
| 'LE'(f(X44),s(s(s(s('0')))))
| 'E'(s(s(s(s(s('0'))))),f(X44)) ),
inference(resolution,status(thm),[c1,clause_18_04]) ).
cnf(c13,plain,
( 'E'(s(s(s(s('0')))),f(g(X64)))
| 'LE'(f(g(X64)),s(s(s(s('0')))))
| ~ 'E'(s(s(s(s(s('0'))))),f(X64))
| 'E'(f(X64),f(g(X64))) ),
inference(resolution,status(thm),[c9,clause_3_10]) ).
cnf(c64,plain,
( 'E'(s(s(s(s('0')))),f(g(X67)))
| 'LE'(f(g(X67)),s(s(s(s('0')))))
| 'E'(f(X67),f(g(X67))) ),
inference(resolution,status(thm),[c13,c8]) ).
cnf(c72,plain,
( 'E'(s(s(s(s('0')))),f(g(X68)))
| 'LE'(f(g(X68)),s(s(s(s('0'))))) ),
inference(resolution,status(thm),[c64,clause_31_05]) ).
cnf(c77,plain,
( 'E'(s(s(s(s('0')))),f(g(X71)))
| ~ iLEQ(g(X71),X72)
| 'E'(s(s(s('0'))),f(X72))
| 'LE'(f(X72),s(s(s('0')))) ),
inference(resolution,status(thm),[c72,clause_26_17]) ).
cnf(c81,plain,
( 'E'(s(s(s(s('0')))),f(g(X78)))
| 'E'(s(s(s('0'))),f(g(g(X78))))
| 'LE'(f(g(g(X78))),s(s(s('0')))) ),
inference(resolution,status(thm),[c77,clause_13_02]) ).
cnf(clause_12_30,axiom,
( ~ 'E'(s(s(s(s('0')))),f(X36))
| ~ 'E'(s(s(s(s('0')))),f(g(X36)))
| 'E'(f(X36),f(g(X36))) ),
input ).
cnf(c82,plain,
( 'E'(s(s(s(s('0')))),f(g(X75)))
| 'E'(s(s(s('0'))),f(g(X75)))
| 'LE'(f(g(X75)),s(s(s('0')))) ),
inference(resolution,status(thm),[c77,clause_18_04]) ).
cnf(c83,plain,
( 'E'(s(s(s('0'))),f(g(X87)))
| 'LE'(f(g(X87)),s(s(s('0'))))
| ~ 'E'(s(s(s(s('0')))),f(X87))
| 'E'(f(X87),f(g(X87))) ),
inference(resolution,status(thm),[c82,clause_12_30]) ).
cnf(c112,plain,
( 'E'(s(s(s('0'))),f(g(g(X89))))
| 'LE'(f(g(g(X89))),s(s(s('0'))))
| 'E'(f(g(X89)),f(g(g(X89)))) ),
inference(resolution,status(thm),[c83,c81]) ).
cnf(c116,plain,
( 'E'(s(s(s('0'))),f(g(g(X90))))
| 'LE'(f(g(g(X90))),s(s(s('0')))) ),
inference(resolution,status(thm),[c112,clause_31_05]) ).
cnf(c118,plain,
( 'E'(s(s(s('0'))),f(g(g(X93))))
| ~ iLEQ(g(g(X93)),X94)
| 'E'(s(s('0')),f(X94))
| 'LE'(f(X94),s(s('0'))) ),
inference(resolution,status(thm),[c116,clause_16_15]) ).
cnf(c122,plain,
( 'E'(s(s(s('0'))),f(g(g(X98))))
| 'E'(s(s('0')),f(g(g(g(X98)))))
| 'LE'(f(g(g(g(X98)))),s(s('0'))) ),
inference(resolution,status(thm),[c118,clause_13_02]) ).
cnf(clause_21_11,axiom,
( ~ 'E'(s(s(s('0'))),f(X31))
| ~ 'E'(s(s(s('0'))),f(g(X31)))
| 'E'(f(X31),f(g(X31))) ),
input ).
cnf(c123,plain,
( 'E'(s(s(s('0'))),f(g(g(X97))))
| 'E'(s(s('0')),f(g(g(X97))))
| 'LE'(f(g(g(X97))),s(s('0'))) ),
inference(resolution,status(thm),[c118,clause_18_04]) ).
cnf(c124,plain,
( 'E'(s(s('0')),f(g(g(X128))))
| 'LE'(f(g(g(X128))),s(s('0')))
| ~ 'E'(s(s(s('0'))),f(g(X128)))
| 'E'(f(g(X128)),f(g(g(X128)))) ),
inference(resolution,status(thm),[c123,clause_21_11]) ).
cnf(c188,plain,
( 'E'(s(s('0')),f(g(g(g(X129)))))
| 'LE'(f(g(g(g(X129)))),s(s('0')))
| 'E'(f(g(g(X129))),f(g(g(g(X129))))) ),
inference(resolution,status(thm),[c124,c122]) ).
cnf(c195,plain,
( 'E'(s(s('0')),f(g(g(g(X130)))))
| 'LE'(f(g(g(g(X130)))),s(s('0'))) ),
inference(resolution,status(thm),[c188,clause_31_05]) ).
cnf(clause_27_12,axiom,
( ~ 'E'(s(s('0')),f(X30))
| ~ 'E'(s(s('0')),f(g(X30)))
| 'E'(f(X30),f(g(X30))) ),
input ).
cnf(c193,plain,
( 'LE'(f(g(g(g(X136)))),s(s('0')))
| 'E'(f(g(g(X136))),f(g(g(g(X136)))))
| ~ 'E'(s(s('0')),f(g(g(X136)))) ),
inference(resolution,status(thm),[c188,clause_27_12]) ).
cnf(c207,plain,
( 'LE'(f(g(g(g(g(X141))))),s(s('0')))
| 'E'(f(g(g(g(X141)))),f(g(g(g(g(X141))))))
| 'LE'(f(g(g(g(X141)))),s(s('0'))) ),
inference(resolution,status(thm),[c193,c195]) ).
cnf(c215,plain,
( 'LE'(f(g(g(g(g(X143))))),s(s('0')))
| 'LE'(f(g(g(g(X143)))),s(s('0'))) ),
inference(resolution,status(thm),[c207,clause_31_05]) ).
cnf(c217,plain,
( 'LE'(f(g(g(g(X145)))),s(s('0')))
| ~ iLEQ(g(g(g(g(X145)))),X144)
| 'E'(s('0'),f(X144))
| 'LE'(f(X144),s('0')) ),
inference(resolution,status(thm),[c215,clause_17_32]) ).
cnf(c220,plain,
( 'LE'(f(g(g(g(X149)))),s(s('0')))
| 'E'(s('0'),f(g(g(g(g(X149))))))
| 'LE'(f(g(g(g(g(X149))))),s('0')) ),
inference(resolution,status(thm),[c217,clause_18_04]) ).
cnf(c226,plain,
( 'E'(s('0'),f(g(g(g(g(X225))))))
| 'LE'(f(g(g(g(g(X225))))),s('0'))
| ~ iLEQ(g(g(g(X225))),X224)
| 'E'(s('0'),f(X224))
| 'LE'(f(X224),s('0')) ),
inference(resolution,status(thm),[c220,clause_17_32]) ).
cnf(c470,plain,
( 'E'(s('0'),f(g(g(g(g(X226))))))
| 'LE'(f(g(g(g(g(X226))))),s('0')) ),
inference(resolution,status(thm),[c226,clause_13_02]) ).
cnf(c474,plain,
( 'E'(s('0'),f(g(g(g(g(X229))))))
| ~ iLEQ(g(g(g(g(X229)))),X228)
| 'E'('0',f(X228))
| 'LE'(f(X228),'0') ),
inference(resolution,status(thm),[c470,clause_1_06]) ).
cnf(c475,plain,
( 'E'(s('0'),f(g(g(g(g(X232))))))
| 'E'('0',f(g(g(g(g(g(X232)))))))
| 'LE'(f(g(g(g(g(g(X232)))))),'0') ),
inference(resolution,status(thm),[c474,clause_13_02]) ).
cnf(c490,plain,
( 'E'(s('0'),f(g(g(g(g(X233))))))
| 'E'('0',f(g(g(g(g(g(X233))))))) ),
inference(resolution,status(thm),[c475,clause_6_07]) ).
cnf(clause_30_13,axiom,
( ~ 'E'(s('0'),f(X27))
| ~ 'E'(s('0'),f(g(X27)))
| 'E'(f(X27),f(g(X27))) ),
input ).
cnf(c476,plain,
( 'E'(s('0'),f(g(g(g(g(X230))))))
| 'E'('0',f(g(g(g(g(X230))))))
| 'LE'(f(g(g(g(g(X230))))),'0') ),
inference(resolution,status(thm),[c474,clause_18_04]) ).
cnf(c481,plain,
( 'E'(s('0'),f(g(g(g(g(X231))))))
| 'E'('0',f(g(g(g(g(X231)))))) ),
inference(resolution,status(thm),[c476,clause_6_07]) ).
cnf(c483,plain,
( 'E'('0',f(g(g(g(g(X235))))))
| ~ 'E'(s('0'),f(g(g(g(X235)))))
| 'E'(f(g(g(g(X235)))),f(g(g(g(g(X235)))))) ),
inference(resolution,status(thm),[c481,clause_30_13]) ).
cnf(c500,plain,
( 'E'('0',f(g(g(g(g(g(X236)))))))
| 'E'(f(g(g(g(g(X236))))),f(g(g(g(g(g(X236))))))) ),
inference(resolution,status(thm),[c483,c490]) ).
cnf(c508,plain,
'E'('0',f(g(g(g(g(g(X237))))))),
inference(resolution,status(thm),[c500,clause_31_05]) ).
cnf(clause_29_24,axiom,
( ~ 'E'('0',f(X25))
| ~ 'E'('0',f(g(X25)))
| 'E'(f(X25),f(g(X25))) ),
input ).
cnf(c506,plain,
( 'E'(f(g(g(g(g(X238))))),f(g(g(g(g(g(X238)))))))
| ~ 'E'('0',f(g(g(g(g(X238)))))) ),
inference(resolution,status(thm),[c500,clause_29_24]) ).
cnf(c515,plain,
'E'(f(g(g(g(g(g(X239)))))),f(g(g(g(g(g(g(X239)))))))),
inference(resolution,status(thm),[c506,c508]) ).
cnf(c516,plain,
$false,
inference(resolution,status(thm),[c515,clause_31_05]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO630-1 : TPTP v8.1.0. Released v7.1.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n020.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 : Fri Jul 8 23:03:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.40/1.60 # Version: 1.3
% 1.40/1.60 # SZS status Unsatisfiable
% 1.40/1.60 # SZS output start CNFRefutation
% See solution above
% 1.40/1.60
% 1.40/1.60 # Initial clauses : 32
% 1.40/1.60 # Processed clauses : 134
% 1.40/1.60 # Factors computed : 0
% 1.40/1.60 # Resolvents computed: 517
% 1.40/1.60 # Tautologies deleted: 0
% 1.40/1.60 # Forward subsumed : 58
% 1.40/1.60 # Backward subsumed : 41
% 1.40/1.60 # -------- CPU Time ---------
% 1.40/1.60 # User time : 1.243 s
% 1.40/1.60 # System time : 0.016 s
% 1.40/1.60 # Total time : 1.259 s
%------------------------------------------------------------------------------