TSTP Solution File: GRP554-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP554-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 11:23:31 EDT 2022
% Result : Unsatisfiable 194.84s 195.23s
% Output : Refutation 194.84s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
input ).
cnf(symmetry,axiom,
( X4 != X3
| X3 = X4 ),
eq_axiom ).
cnf(transitivity,axiom,
( X10 != X8
| X8 != X9
| X10 = X9 ),
eq_axiom ).
cnf(multiply,axiom,
multiply(X6,X7) = divide(X6,inverse(X7)),
input ).
cnf(c4,plain,
divide(X20,inverse(X19)) = multiply(X20,X19),
inference(resolution,status(thm),[multiply,symmetry]) ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(c2,plain,
( X53 != X50
| X52 != X51
| multiply(X53,X52) = multiply(X50,X51) ),
eq_axiom ).
cnf(c42,plain,
( X54 != X56
| multiply(X54,X55) = multiply(X56,X55) ),
inference(resolution,status(thm),[c2,reflexivity]) ).
cnf(c46,plain,
multiply(divide(X90,inverse(X91)),X89) = multiply(multiply(X90,X91),X89),
inference(resolution,status(thm),[c42,c4]) ).
cnf(c105,plain,
( X433 != multiply(divide(X432,inverse(X431)),X430)
| X433 = multiply(multiply(X432,X431),X430) ),
inference(resolution,status(thm),[c46,transitivity]) ).
cnf(c0,plain,
( X38 != X35
| X37 != X36
| divide(X38,X37) = divide(X35,X36) ),
eq_axiom ).
cnf(c27,plain,
( X44 != X43
| divide(X44,X45) = divide(X43,X45) ),
inference(resolution,status(thm),[c0,reflexivity]) ).
cnf(c30,plain,
divide(divide(X72,inverse(X73)),X71) = divide(multiply(X72,X73),X71),
inference(resolution,status(thm),[c27,c4]) ).
cnf(c63,plain,
( X355 != divide(divide(X354,inverse(X353)),X352)
| X355 = divide(multiply(X354,X353),X352) ),
inference(resolution,status(thm),[c30,transitivity]) ).
cnf(single_axiom,axiom,
divide(divide(X11,inverse(divide(X13,divide(X11,X12)))),X12) = X13,
input ).
cnf(c7,plain,
( X69 != divide(divide(X66,inverse(divide(X68,divide(X66,X67)))),X67)
| X69 = X68 ),
inference(resolution,status(thm),[single_axiom,transitivity]) ).
cnf(c31,plain,
divide(multiply(X76,X74),X75) = divide(divide(X76,inverse(X74)),X75),
inference(resolution,status(thm),[c27,multiply]) ).
cnf(c77,plain,
divide(multiply(X79,divide(X78,divide(X79,X77))),X77) = X78,
inference(resolution,status(thm),[c31,c7]) ).
cnf(c85,plain,
( X688 != X690
| divide(X688,divide(multiply(X691,divide(X689,divide(X691,X692))),X692)) = divide(X690,X689) ),
inference(resolution,status(thm),[c77,c0]) ).
cnf(c2151,plain,
divide(X760,divide(multiply(X757,divide(X759,divide(X757,X758))),X758)) = divide(X760,X759),
inference(resolution,status(thm),[c85,reflexivity]) ).
cnf(c2405,plain,
( X3037 != divide(X3036,divide(multiply(X3034,divide(X3033,divide(X3034,X3035))),X3035))
| X3037 = divide(X3036,X3033) ),
inference(resolution,status(thm),[c2151,transitivity]) ).
cnf(c86,plain,
X82 = divide(multiply(X80,divide(X82,divide(X80,X81))),X81),
inference(resolution,status(thm),[c77,symmetry]) ).
cnf(c97,plain,
divide(X418,X419) = divide(divide(multiply(X421,divide(X418,divide(X421,X420))),X420),X419),
inference(resolution,status(thm),[c86,c27]) ).
cnf(c1130,plain,
divide(divide(X5614,X5615),X5612) = divide(divide(divide(multiply(X5611,divide(X5614,divide(X5611,X5613))),X5613),X5615),X5612),
inference(resolution,status(thm),[c97,c27]) ).
cnf(c79,plain,
divide(divide(multiply(X629,X627),X630),X628) = divide(divide(divide(X629,inverse(X627)),X630),X628),
inference(resolution,status(thm),[c31,c27]) ).
cnf(c1967,plain,
( X6051 != divide(divide(multiply(X6049,X6048),X6050),X6047)
| X6051 = divide(divide(divide(X6049,inverse(X6048)),X6050),X6047) ),
inference(resolution,status(thm),[c79,transitivity]) ).
cnf(c80,plain,
( X168 != divide(multiply(X165,divide(X166,divide(X165,X167))),X167)
| X168 = X166 ),
inference(resolution,status(thm),[c77,transitivity]) ).
cnf(c88,plain,
( X728 != X730
| multiply(X728,divide(multiply(X729,divide(X731,divide(X729,X732))),X732)) = multiply(X730,X731) ),
inference(resolution,status(thm),[c77,c2]) ).
cnf(c2263,plain,
multiply(X764,divide(multiply(X763,divide(X761,divide(X763,X762))),X762)) = multiply(X764,X761),
inference(resolution,status(thm),[c88,reflexivity]) ).
cnf(c2467,plain,
multiply(X780,X778) = multiply(X780,divide(multiply(X779,divide(X778,divide(X779,X781))),X781)),
inference(resolution,status(thm),[c2263,symmetry]) ).
cnf(c2612,plain,
divide(multiply(X6455,X6453),X6454) = divide(multiply(X6455,divide(multiply(X6456,divide(X6453,divide(X6456,X6452))),X6452)),X6454),
inference(resolution,status(thm),[c2467,c27]) ).
cnf(c56014,plain,
divide(multiply(X6464,X6465),X6463) = multiply(X6462,divide(X6465,divide(X6462,divide(X6464,X6463)))),
inference(resolution,status(thm),[c2612,c80]) ).
cnf(c56180,plain,
divide(divide(multiply(X12238,X12239),X12240),X12237) = divide(multiply(X12236,divide(X12239,divide(X12236,divide(X12238,X12240)))),X12237),
inference(resolution,status(thm),[c56014,c27]) ).
cnf(c128242,plain,
divide(divide(multiply(X12242,X12241),X12243),divide(X12242,X12243)) = X12241,
inference(resolution,status(thm),[c56180,c80]) ).
cnf(c128501,plain,
X12246 = divide(divide(multiply(X12245,X12246),X12244),divide(X12245,X12244)),
inference(resolution,status(thm),[c128242,symmetry]) ).
cnf(c128583,plain,
X12278 = divide(divide(divide(X12280,inverse(X12278)),X12279),divide(X12280,X12279)),
inference(resolution,status(thm),[c128501,c1967]) ).
cnf(c129653,plain,
divide(divide(divide(X12334,inverse(X12332)),X12333),divide(X12334,X12333)) = X12332,
inference(resolution,status(thm),[c128583,symmetry]) ).
cnf(c131292,plain,
( X13057 != divide(divide(divide(X13055,inverse(X13056)),X13054),divide(X13055,X13054))
| X13057 = X13056 ),
inference(resolution,status(thm),[c129653,transitivity]) ).
cnf(c155320,plain,
divide(divide(X15118,X15116),divide(multiply(X15117,divide(X15118,divide(X15117,inverse(X15115)))),X15116)) = X15115,
inference(resolution,status(thm),[c131292,c1130]) ).
cnf(c208683,plain,
X15947 = divide(divide(X15944,X15946),divide(multiply(X15945,divide(X15944,divide(X15945,inverse(X15947)))),X15946)),
inference(resolution,status(thm),[c155320,symmetry]) ).
cnf(c220884,plain,
X15955 = divide(divide(X15956,inverse(X15955)),X15956),
inference(resolution,status(thm),[c208683,c2405]) ).
cnf(c222523,plain,
X15966 = divide(multiply(X15967,X15966),X15967),
inference(resolution,status(thm),[c220884,c63]) ).
cnf(c222415,plain,
divide(X15959,divide(X15960,X15960)) = X15959,
inference(resolution,status(thm),[c220884,c7]) ).
cnf(c222768,plain,
( X16046 != divide(X16044,divide(X16045,X16045))
| X16046 = X16044 ),
inference(resolution,status(thm),[c222415,transitivity]) ).
cnf(c226013,plain,
X16058 = multiply(divide(X16059,X16059),X16058),
inference(resolution,status(thm),[c222768,c222523]) ).
cnf(c226592,plain,
X16102 = multiply(multiply(inverse(X16103),X16103),X16102),
inference(resolution,status(thm),[c226013,c105]) ).
cnf(c227659,plain,
multiply(multiply(inverse(X16114),X16114),X16113) = X16113,
inference(resolution,status(thm),[c226592,symmetry]) ).
cnf(c228250,plain,
$false,
inference(resolution,status(thm),[c227659,prove_these_axioms_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP554-1 : TPTP v8.1.0. Released v2.6.0.
% 0.13/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 09:20:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 194.84/195.23 # Version: 1.3
% 194.84/195.23 # SZS status Unsatisfiable
% 194.84/195.23 # SZS output start CNFRefutation
% See solution above
% 194.84/195.23
% 194.84/195.23 # Initial clauses : 9
% 194.84/195.23 # Processed clauses : 1701
% 194.84/195.23 # Factors computed : 0
% 194.84/195.23 # Resolvents computed: 228386
% 194.84/195.23 # Tautologies deleted: 1
% 194.84/195.23 # Forward subsumed : 2476
% 194.84/195.23 # Backward subsumed : 4
% 194.84/195.23 # -------- CPU Time ---------
% 194.84/195.23 # User time : 194.187 s
% 194.84/195.23 # System time : 0.545 s
% 194.84/195.23 # Total time : 194.732 s
%------------------------------------------------------------------------------