TSTP Solution File: GRP528-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP528-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n024.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 : Sat Jul 16 11:23:26 EDT 2022
% Result : Unsatisfiable 207.61s 207.92s
% Output : Refutation 207.61s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a),
input ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(c1,plain,
( X52 != X51
| X53 != X54
| multiply(X52,X53) = multiply(X51,X54) ),
eq_axiom ).
cnf(c51,plain,
( X57 != X56
| multiply(X57,X55) = multiply(X56,X55) ),
inference(resolution,status(thm),[c1,reflexivity]) ).
cnf(symmetry,axiom,
( X4 != X3
| X3 = X4 ),
eq_axiom ).
cnf(c0,plain,
( X37 != X36
| X38 != X39
| divide(X37,X38) = divide(X36,X39) ),
eq_axiom ).
cnf(c32,plain,
( X42 != X40
| divide(X42,X41) = divide(X40,X41) ),
inference(resolution,status(thm),[c0,reflexivity]) ).
cnf(inverse,axiom,
inverse(X6) = divide(divide(X7,X7),X6),
input ).
cnf(c30,plain,
( X265 != X262
| divide(X265,inverse(X264)) = divide(X262,divide(divide(X263,X263),X264)) ),
inference(resolution,status(thm),[c0,inverse]) ).
cnf(c580,plain,
divide(X436,inverse(X437)) = divide(X436,divide(divide(X438,X438),X437)),
inference(resolution,status(thm),[c30,reflexivity]) ).
cnf(transitivity,axiom,
( X9 != X8
| X8 != X10
| X9 = X10 ),
eq_axiom ).
cnf(multiply,axiom,
multiply(X23,X25) = divide(X23,divide(divide(X24,X24),X25)),
input ).
cnf(c17,plain,
divide(X62,divide(divide(X63,X63),X64)) = multiply(X62,X64),
inference(resolution,status(thm),[multiply,symmetry]) ).
cnf(c74,plain,
( X736 != divide(X739,divide(divide(X737,X737),X738))
| X736 = multiply(X739,X738) ),
inference(resolution,status(thm),[c17,transitivity]) ).
cnf(c3795,plain,
divide(X746,inverse(X747)) = multiply(X746,X747),
inference(resolution,status(thm),[c74,c580]) ).
cnf(c3857,plain,
multiply(X755,X754) = divide(X755,inverse(X754)),
inference(resolution,status(thm),[c3795,symmetry]) ).
cnf(c3931,plain,
divide(multiply(X8625,X8627),X8626) = divide(divide(X8625,inverse(X8627)),X8626),
inference(resolution,status(thm),[c3857,c32]) ).
cnf(c4,plain,
divide(divide(X19,X19),X20) = inverse(X20),
inference(resolution,status(thm),[inverse,symmetry]) ).
cnf(single_axiom,axiom,
divide(X11,divide(divide(X11,X13),divide(X12,X13))) = X12,
input ).
cnf(c7,plain,
( X68 != divide(X71,divide(divide(X71,X70),divide(X69,X70)))
| X68 = X69 ),
inference(resolution,status(thm),[single_axiom,transitivity]) ).
cnf(c6,plain,
( X26 != inverse(X28)
| X26 = divide(divide(X27,X27),X28) ),
inference(resolution,status(thm),[transitivity,inverse]) ).
cnf(c2,plain,
( X17 != X16
| inverse(X17) = inverse(X16) ),
eq_axiom ).
cnf(c11,plain,
inverse(inverse(X35)) = inverse(divide(divide(X34,X34),X35)),
inference(resolution,status(thm),[c2,inverse]) ).
cnf(c26,plain,
inverse(inverse(X195)) = divide(divide(X196,X196),divide(divide(X197,X197),X195)),
inference(resolution,status(thm),[c11,c6]) ).
cnf(c350,plain,
inverse(inverse(divide(X199,divide(X198,X198)))) = X199,
inference(resolution,status(thm),[c26,c7]) ).
cnf(c366,plain,
( X351 != inverse(inverse(divide(X352,divide(X353,X353))))
| X351 = X352 ),
inference(resolution,status(thm),[c350,transitivity]) ).
cnf(c8,plain,
X33 = divide(X31,divide(divide(X31,X32),divide(X33,X32))),
inference(resolution,status(thm),[single_axiom,symmetry]) ).
cnf(c21,plain,
inverse(X147) = inverse(divide(X145,divide(divide(X145,X146),divide(X147,X146)))),
inference(resolution,status(thm),[c8,c2]) ).
cnf(c228,plain,
inverse(inverse(X2458)) = inverse(inverse(divide(X2457,divide(divide(X2457,X2459),divide(X2458,X2459))))),
inference(resolution,status(thm),[c21,c2]) ).
cnf(c20832,plain,
inverse(inverse(X2460)) = X2460,
inference(resolution,status(thm),[c228,c366]) ).
cnf(c20895,plain,
( X2501 != inverse(inverse(X2502))
| X2501 = X2502 ),
inference(resolution,status(thm),[c20832,transitivity]) ).
cnf(c21596,plain,
divide(divide(X2587,X2587),inverse(X2588)) = X2588,
inference(resolution,status(thm),[c20895,c4]) ).
cnf(c23488,plain,
( X4145 != divide(divide(X4147,X4147),inverse(X4146))
| X4145 = X4146 ),
inference(resolution,status(thm),[c21596,transitivity]) ).
cnf(c31,plain,
( X285 != X283
| divide(X285,X282) = divide(X283,divide(X281,divide(divide(X281,X284),divide(X282,X284)))) ),
inference(resolution,status(thm),[c0,c8]) ).
cnf(c698,plain,
divide(X9049,X9048) = divide(X9049,divide(X9050,divide(divide(X9050,X9051),divide(X9048,X9051)))),
inference(resolution,status(thm),[c31,reflexivity]) ).
cnf(c143669,plain,
divide(X9058,X9059) = divide(divide(X9058,divide(X9059,X9060)),X9060),
inference(resolution,status(thm),[c698,c7]) ).
cnf(c143830,plain,
divide(divide(X9062,inverse(X9061)),X9062) = X9061,
inference(resolution,status(thm),[c143669,c23488]) ).
cnf(c144032,plain,
( X9542 != divide(divide(X9544,inverse(X9543)),X9544)
| X9542 = X9543 ),
inference(resolution,status(thm),[c143830,transitivity]) ).
cnf(c160114,plain,
divide(multiply(X9569,X9568),X9569) = X9568,
inference(resolution,status(thm),[c144032,c3931]) ).
cnf(c160409,plain,
X9576 = divide(multiply(X9575,X9576),X9575),
inference(resolution,status(thm),[c160114,symmetry]) ).
cnf(c160622,plain,
multiply(X10864,X10866) = multiply(divide(multiply(X10865,X10864),X10865),X10866),
inference(resolution,status(thm),[c160409,c51]) ).
cnf(c3861,plain,
( X1025 != divide(X1027,inverse(X1026))
| X1025 = multiply(X1027,X1026) ),
inference(resolution,status(thm),[c3795,transitivity]) ).
cnf(c37,plain,
divide(inverse(X252),X251) = divide(divide(divide(X250,X250),X252),X251),
inference(resolution,status(thm),[c32,inverse]) ).
cnf(c498,plain,
inverse(divide(inverse(X6169),X6170)) = inverse(divide(divide(divide(X6171,X6171),X6169),X6170)),
inference(resolution,status(thm),[c37,c2]) ).
cnf(c85,plain,
inverse(divide(divide(divide(X276,X276),X277),divide(X275,X277))) = X275,
inference(resolution,status(thm),[c7,inverse]) ).
cnf(c641,plain,
( X8191 != inverse(divide(divide(divide(X8192,X8192),X8194),divide(X8193,X8194)))
| X8191 = X8193 ),
inference(resolution,status(thm),[c85,transitivity]) ).
cnf(c128153,plain,
inverse(divide(inverse(X8225),divide(X8226,X8225))) = X8226,
inference(resolution,status(thm),[c641,c498]) ).
cnf(c128679,plain,
X8239 = inverse(divide(inverse(X8238),divide(X8239,X8238))),
inference(resolution,status(thm),[c128153,symmetry]) ).
cnf(c12,plain,
( X45 != divide(divide(X46,X46),X47)
| X45 = inverse(X47) ),
inference(resolution,status(thm),[c4,transitivity]) ).
cnf(c143907,plain,
divide(divide(X9070,X9069),X9070) = inverse(X9069),
inference(resolution,status(thm),[c143669,c12]) ).
cnf(c144308,plain,
( X9889 != divide(divide(X9891,X9890),X9891)
| X9889 = inverse(X9890) ),
inference(resolution,status(thm),[c143907,transitivity]) ).
cnf(c169306,plain,
divide(X9916,X9917) = inverse(divide(X9917,X9916)),
inference(resolution,status(thm),[c144308,c143669]) ).
cnf(c169904,plain,
inverse(divide(X9951,X9950)) = divide(X9950,X9951),
inference(resolution,status(thm),[c169306,symmetry]) ).
cnf(c170433,plain,
( X11707 != inverse(divide(X11708,X11709))
| X11707 = divide(X11709,X11708) ),
inference(resolution,status(thm),[c169904,transitivity]) ).
cnf(c220448,plain,
X11750 = divide(divide(X11750,X11751),inverse(X11751)),
inference(resolution,status(thm),[c170433,c128679]) ).
cnf(c221300,plain,
X11762 = multiply(divide(X11762,X11763),X11763),
inference(resolution,status(thm),[c220448,c3861]) ).
cnf(c221574,plain,
multiply(divide(X11766,X11767),X11767) = X11766,
inference(resolution,status(thm),[c221300,symmetry]) ).
cnf(c221727,plain,
( X11930 != multiply(divide(X11931,X11932),X11932)
| X11930 = X11931 ),
inference(resolution,status(thm),[c221574,transitivity]) ).
cnf(c226507,plain,
multiply(X11963,X11964) = multiply(X11964,X11963),
inference(resolution,status(thm),[c221727,c160622]) ).
cnf(c227279,plain,
$false,
inference(resolution,status(thm),[c226507,prove_these_axioms_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP528-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n024.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 : Tue Jun 14 06:13:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 207.61/207.92 # Version: 1.3
% 207.61/207.92 # SZS status Unsatisfiable
% 207.61/207.92 # SZS output start CNFRefutation
% See solution above
% 207.61/207.92
% 207.61/207.92 # Initial clauses : 10
% 207.61/207.92 # Processed clauses : 1631
% 207.61/207.92 # Factors computed : 0
% 207.61/207.92 # Resolvents computed: 227333
% 207.61/207.92 # Tautologies deleted: 1
% 207.61/207.92 # Forward subsumed : 3021
% 207.61/207.92 # Backward subsumed : 1
% 207.61/207.92 # -------- CPU Time ---------
% 207.61/207.92 # User time : 206.941 s
% 207.61/207.92 # System time : 0.520 s
% 207.61/207.92 # Total time : 207.461 s
%------------------------------------------------------------------------------