TSTP Solution File: GRP520-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP520-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 11:23:24 EDT 2022
% Result : Unsatisfiable 149.21s 149.50s
% Output : Refutation 149.21s
% 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(transitivity,axiom,
( X6 != X7
| X7 != X8
| X6 = X8 ),
eq_axiom ).
cnf(symmetry,axiom,
( X3 != X4
| X4 = X3 ),
eq_axiom ).
cnf(single_axiom,axiom,
multiply(X13,multiply(multiply(inverse(multiply(X13,X11)),X12),X11)) = X12,
input ).
cnf(c4,plain,
( X26 != multiply(X25,multiply(multiply(inverse(multiply(X25,X27)),X24),X27))
| X26 = X24 ),
inference(resolution,status(thm),[single_axiom,transitivity]) ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(c0,plain,
( X20 != X18
| X17 != X19
| multiply(X20,X17) = multiply(X18,X19) ),
eq_axiom ).
cnf(c8,plain,
( X23 != X22
| multiply(X23,X21) = multiply(X22,X21) ),
inference(resolution,status(thm),[c0,reflexivity]) ).
cnf(c11,plain,
multiply(multiply(X66,multiply(multiply(inverse(multiply(X66,X67)),X65),X67)),X64) = multiply(X65,X64),
inference(resolution,status(thm),[c8,single_axiom]) ).
cnf(c46,plain,
( X458 != X457
| multiply(X458,multiply(multiply(X460,multiply(multiply(inverse(multiply(X460,X461)),X456),X461)),X459)) = multiply(X457,multiply(X456,X459)) ),
inference(resolution,status(thm),[c11,c0]) ).
cnf(c704,plain,
multiply(X464,multiply(multiply(X465,multiply(multiply(inverse(multiply(X465,X463)),X462),X463)),X466)) = multiply(X464,multiply(X462,X466)),
inference(resolution,status(thm),[c46,reflexivity]) ).
cnf(c728,plain,
multiply(X471,multiply(X468,X469)) = multiply(X471,multiply(multiply(X467,multiply(multiply(inverse(multiply(X467,X470)),X468),X470)),X469)),
inference(resolution,status(thm),[c704,symmetry]) ).
cnf(c755,plain,
multiply(X473,multiply(X472,X475)) = multiply(multiply(inverse(multiply(inverse(multiply(X473,X475)),X474)),X472),X474),
inference(resolution,status(thm),[c728,c4]) ).
cnf(c764,plain,
multiply(multiply(inverse(multiply(inverse(multiply(X476,X477)),X478)),X479),X478) = multiply(X476,multiply(X479,X477)),
inference(resolution,status(thm),[c755,symmetry]) ).
cnf(c786,plain,
( X545 != multiply(multiply(inverse(multiply(inverse(multiply(X548,X546)),X547)),X549),X547)
| X545 = multiply(X548,multiply(X549,X546)) ),
inference(resolution,status(thm),[c764,transitivity]) ).
cnf(c1,plain,
( X15 != X14
| inverse(X15) = inverse(X14) ),
eq_axiom ).
cnf(c7,plain,
inverse(multiply(X41,multiply(multiply(inverse(multiply(X41,X42)),X40),X42))) = inverse(X40),
inference(resolution,status(thm),[c1,single_axiom]) ).
cnf(c21,plain,
multiply(inverse(multiply(X127,multiply(multiply(inverse(multiply(X127,X129)),X128),X129))),X130) = multiply(inverse(X128),X130),
inference(resolution,status(thm),[c7,c8]) ).
cnf(c122,plain,
( X410 != multiply(inverse(multiply(X413,multiply(multiply(inverse(multiply(X413,X411)),X412),X411))),X409)
| X410 = multiply(inverse(X412),X409) ),
inference(resolution,status(thm),[c21,transitivity]) ).
cnf(c9,plain,
( X61 != X60
| multiply(X61,multiply(X59,multiply(multiply(inverse(multiply(X59,X62)),X63),X62))) = multiply(X60,X63) ),
inference(resolution,status(thm),[c0,single_axiom]) ).
cnf(c37,plain,
multiply(X73,multiply(X72,multiply(multiply(inverse(multiply(X72,X75)),X74),X75))) = multiply(X73,X74),
inference(resolution,status(thm),[c9,reflexivity]) ).
cnf(c62,plain,
( X621 != X620
| multiply(X621,multiply(X618,multiply(X622,multiply(multiply(inverse(multiply(X622,X619)),X623),X619)))) = multiply(X620,multiply(X618,X623)) ),
inference(resolution,status(thm),[c37,c0]) ).
cnf(c1137,plain,
multiply(X632,multiply(X631,multiply(X630,multiply(multiply(inverse(multiply(X630,X629)),X628),X629)))) = multiply(X632,multiply(X631,X628)),
inference(resolution,status(thm),[c62,reflexivity]) ).
cnf(c1177,plain,
( X1482 != multiply(X1484,multiply(X1480,multiply(X1481,multiply(multiply(inverse(multiply(X1481,X1483)),X1485),X1483))))
| X1482 = multiply(X1484,multiply(X1480,X1485)) ),
inference(resolution,status(thm),[c1137,transitivity]) ).
cnf(c772,plain,
( X2273 != X2272
| multiply(X2273,multiply(X2270,multiply(X2275,X2274))) = multiply(X2272,multiply(multiply(inverse(multiply(inverse(multiply(X2270,X2274)),X2271)),X2275),X2271)) ),
inference(resolution,status(thm),[c755,c0]) ).
cnf(c7427,plain,
multiply(X2285,multiply(X2286,multiply(X2284,X2283))) = multiply(X2285,multiply(multiply(inverse(multiply(inverse(multiply(X2286,X2283)),X2287)),X2284),X2287)),
inference(resolution,status(thm),[c772,reflexivity]) ).
cnf(c7518,plain,
multiply(inverse(multiply(X2288,X2289)),multiply(X2288,multiply(X2290,X2289))) = X2290,
inference(resolution,status(thm),[c7427,c4]) ).
cnf(c7547,plain,
X2293 = multiply(inverse(multiply(X2291,X2292)),multiply(X2291,multiply(X2293,X2292))),
inference(resolution,status(thm),[c7518,symmetry]) ).
cnf(c7630,plain,
X2381 = multiply(inverse(multiply(X2380,multiply(multiply(inverse(multiply(X2381,X2382)),X2383),X2382))),multiply(X2380,X2383)),
inference(resolution,status(thm),[c7547,c1177]) ).
cnf(c8210,plain,
X2384 = multiply(inverse(X2385),multiply(X2384,X2385)),
inference(resolution,status(thm),[c7630,c122]) ).
cnf(c8241,plain,
multiply(inverse(multiply(inverse(X2399),X2399)),X2398) = X2398,
inference(resolution,status(thm),[c8210,c4]) ).
cnf(c8374,plain,
X2401 = multiply(inverse(multiply(inverse(X2400),X2400)),X2401),
inference(resolution,status(thm),[c8241,symmetry]) ).
cnf(c8224,plain,
multiply(inverse(X2395),multiply(X2394,X2395)) = X2394,
inference(resolution,status(thm),[c8210,symmetry]) ).
cnf(c8331,plain,
( X2430 != multiply(inverse(X2429),multiply(X2428,X2429))
| X2430 = X2428 ),
inference(resolution,status(thm),[c8224,transitivity]) ).
cnf(c8847,plain,
multiply(X2433,multiply(inverse(X2434),X2434)) = X2433,
inference(resolution,status(thm),[c8331,c8374]) ).
cnf(c8919,plain,
X2444 = multiply(X2444,multiply(inverse(X2443),X2443)),
inference(resolution,status(thm),[c8847,symmetry]) ).
cnf(c9034,plain,
inverse(X2490) = inverse(multiply(X2490,multiply(inverse(X2491),X2491))),
inference(resolution,status(thm),[c8919,c1]) ).
cnf(c9598,plain,
inverse(inverse(X2895)) = inverse(inverse(multiply(X2895,multiply(inverse(X2894),X2894)))),
inference(resolution,status(thm),[c9034,c1]) ).
cnf(c7572,plain,
( X2312 != multiply(inverse(multiply(X2309,X2311)),multiply(X2309,multiply(X2310,X2311)))
| X2312 = X2310 ),
inference(resolution,status(thm),[c7518,transitivity]) ).
cnf(c9055,plain,
inverse(multiply(inverse(multiply(X2450,X2451)),X2451)) = X2450,
inference(resolution,status(thm),[c8919,c7572]) ).
cnf(c9105,plain,
( X2580 != inverse(multiply(inverse(multiply(X2578,X2579)),X2579))
| X2580 = X2578 ),
inference(resolution,status(thm),[c9055,transitivity]) ).
cnf(c10794,plain,
inverse(inverse(multiply(X2585,multiply(inverse(X2586),X2586)))) = X2585,
inference(resolution,status(thm),[c9105,c9034]) ).
cnf(c10860,plain,
( X3090 != inverse(inverse(multiply(X3089,multiply(inverse(X3088),X3088))))
| X3090 = X3089 ),
inference(resolution,status(thm),[c10794,transitivity]) ).
cnf(c15450,plain,
inverse(inverse(X3092)) = X3092,
inference(resolution,status(thm),[c10860,c9598]) ).
cnf(c15511,plain,
( X3104 != inverse(inverse(X3103))
| X3104 = X3103 ),
inference(resolution,status(thm),[c15450,transitivity]) ).
cnf(c9078,plain,
X2459 = inverse(multiply(inverse(multiply(X2459,X2458)),X2458)),
inference(resolution,status(thm),[c9055,symmetry]) ).
cnf(c9352,plain,
inverse(X2597) = inverse(inverse(multiply(inverse(multiply(X2597,X2598)),X2598))),
inference(resolution,status(thm),[c9078,c1]) ).
cnf(c15665,plain,
inverse(X3160) = multiply(inverse(multiply(X3160,X3159)),X3159),
inference(resolution,status(thm),[c15511,c9352]) ).
cnf(c16826,plain,
multiply(inverse(multiply(X3180,X3181)),X3181) = inverse(X3180),
inference(resolution,status(thm),[c15665,symmetry]) ).
cnf(c17057,plain,
multiply(inverse(multiply(inverse(X3213),X3214)),X3214) = X3213,
inference(resolution,status(thm),[c16826,c15511]) ).
cnf(c17514,plain,
X3231 = multiply(inverse(multiply(inverse(X3231),X3230)),X3230),
inference(resolution,status(thm),[c17057,symmetry]) ).
cnf(c17632,plain,
multiply(X8054,X8056) = multiply(multiply(inverse(multiply(inverse(X8054),X8055)),X8055),X8056),
inference(resolution,status(thm),[c17514,c8]) ).
cnf(c83367,plain,
multiply(multiply(X8057,X8058),X8059) = multiply(X8057,multiply(X8059,X8058)),
inference(resolution,status(thm),[c17632,c786]) ).
cnf(c16832,plain,
multiply(inverse(X7786),X7788) = multiply(multiply(inverse(multiply(X7786,X7787)),X7787),X7788),
inference(resolution,status(thm),[c15665,c8]) ).
cnf(c15541,plain,
X3093 = inverse(inverse(X3093)),
inference(resolution,status(thm),[c15450,symmetry]) ).
cnf(c15601,plain,
multiply(X3142,X3143) = multiply(inverse(inverse(X3142)),X3143),
inference(resolution,status(thm),[c15541,c8]) ).
cnf(c16585,plain,
multiply(X3145,multiply(X3144,inverse(X3145))) = X3144,
inference(resolution,status(thm),[c15601,c8331]) ).
cnf(c16663,plain,
X3147 = multiply(X3146,multiply(X3147,inverse(X3146))),
inference(resolution,status(thm),[c16585,symmetry]) ).
cnf(c16714,plain,
multiply(inverse(multiply(X3178,inverse(X3178))),X3179) = X3179,
inference(resolution,status(thm),[c16663,c4]) ).
cnf(c17015,plain,
X3196 = multiply(inverse(multiply(X3195,inverse(X3195))),X3196),
inference(resolution,status(thm),[c16714,symmetry]) ).
cnf(c17243,plain,
multiply(X3206,multiply(X3207,inverse(X3207))) = X3206,
inference(resolution,status(thm),[c17015,c8331]) ).
cnf(c17337,plain,
( X3514 != multiply(X3512,multiply(X3513,inverse(X3513)))
| X3514 = X3512 ),
inference(resolution,status(thm),[c17243,transitivity]) ).
cnf(c83451,plain,
multiply(multiply(X8072,inverse(X8071)),X8071) = X8072,
inference(resolution,status(thm),[c83367,c17337]) ).
cnf(c84550,plain,
( X8288 != multiply(multiply(X8286,inverse(X8287)),X8287)
| X8288 = X8286 ),
inference(resolution,status(thm),[c83451,transitivity]) ).
cnf(c87871,plain,
multiply(inverse(X8692),X8693) = inverse(multiply(X8692,inverse(X8693))),
inference(resolution,status(thm),[c84550,c16832]) ).
cnf(c8243,plain,
multiply(X2515,X2517) = multiply(multiply(inverse(X2516),multiply(X2515,X2516)),X2517),
inference(resolution,status(thm),[c8210,c8]) ).
cnf(c8946,plain,
( X2477 != multiply(X2475,multiply(inverse(X2476),X2476))
| X2477 = X2475 ),
inference(resolution,status(thm),[c8847,transitivity]) ).
cnf(c83429,plain,
multiply(multiply(X8069,X8070),inverse(X8070)) = X8069,
inference(resolution,status(thm),[c83367,c8946]) ).
cnf(c84400,plain,
( X8171 != multiply(multiply(X8169,X8170),inverse(X8170))
| X8171 = X8169 ),
inference(resolution,status(thm),[c83429,transitivity]) ).
cnf(c86180,plain,
multiply(X8242,inverse(multiply(X8242,X8241))) = inverse(X8241),
inference(resolution,status(thm),[c84400,c8243]) ).
cnf(c86807,plain,
inverse(multiply(X9135,inverse(multiply(X9135,X9136)))) = inverse(inverse(X9136)),
inference(resolution,status(thm),[c86180,c1]) ).
cnf(c102411,plain,
inverse(multiply(X9137,inverse(multiply(X9137,X9138)))) = X9138,
inference(resolution,status(thm),[c86807,c15511]) ).
cnf(c102532,plain,
( X10095 != inverse(multiply(X10093,inverse(multiply(X10093,X10094))))
| X10095 = X10094 ),
inference(resolution,status(thm),[c102411,transitivity]) ).
cnf(c120831,plain,
multiply(inverse(X10123),multiply(X10123,X10124)) = X10124,
inference(resolution,status(thm),[c102532,c87871]) ).
cnf(c121256,plain,
( X10237 != multiply(inverse(X10236),multiply(X10236,X10235))
| X10237 = X10235 ),
inference(resolution,status(thm),[c120831,transitivity]) ).
cnf(c123511,plain,
multiply(multiply(inverse(X10338),X10337),X10338) = X10337,
inference(resolution,status(thm),[c121256,c83367]) ).
cnf(c124294,plain,
( X10888 != multiply(multiply(inverse(X10889),X10887),X10889)
| X10888 = X10887 ),
inference(resolution,status(thm),[c123511,transitivity]) ).
cnf(c121318,plain,
X10139 = multiply(inverse(X10138),multiply(X10138,X10139)),
inference(resolution,status(thm),[c120831,symmetry]) ).
cnf(c121726,plain,
multiply(X12044,X12046) = multiply(multiply(inverse(X12045),multiply(X12045,X12044)),X12046),
inference(resolution,status(thm),[c121318,c8]) ).
cnf(c162248,plain,
multiply(X12048,X12047) = multiply(X12047,X12048),
inference(resolution,status(thm),[c121726,c124294]) ).
cnf(c162396,plain,
$false,
inference(resolution,status(thm),[c162248,prove_these_axioms_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP520-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n016.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 : Tue Jun 14 13:34:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 149.21/149.50 # Version: 1.3
% 149.21/149.50 # SZS status Unsatisfiable
% 149.21/149.50 # SZS output start CNFRefutation
% See solution above
% 149.21/149.50
% 149.21/149.50 # Initial clauses : 7
% 149.21/149.50 # Processed clauses : 1421
% 149.21/149.50 # Factors computed : 0
% 149.21/149.50 # Resolvents computed: 162464
% 149.21/149.50 # Tautologies deleted: 1
% 149.21/149.50 # Forward subsumed : 2565
% 149.21/149.50 # Backward subsumed : 10
% 149.21/149.50 # -------- CPU Time ---------
% 149.21/149.50 # User time : 148.649 s
% 149.21/149.50 # System time : 0.419 s
% 149.21/149.50 # Total time : 149.068 s
%------------------------------------------------------------------------------