TSTP Solution File: GRP518-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP518-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : 600s
% DateTime : Sat Jul 16 11:23:24 EDT 2022
% Result : Unsatisfiable 34.05s 34.22s
% Output : Refutation 34.05s
% 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(transitivity,axiom,
( X7 != X8
| X8 != X6
| X7 = X6 ),
eq_axiom ).
cnf(single_axiom,axiom,
multiply(X13,multiply(multiply(inverse(multiply(X13,X12)),X11),X12)) = X11,
input ).
cnf(c4,plain,
( X26 != multiply(X24,multiply(multiply(inverse(multiply(X24,X27)),X25),X27))
| X26 = X25 ),
inference(resolution,status(thm),[single_axiom,transitivity]) ).
cnf(symmetry,axiom,
( X3 != X4
| X4 = X3 ),
eq_axiom ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(c0,plain,
( X19 != X17
| X20 != X18
| multiply(X19,X20) = multiply(X17,X18) ),
eq_axiom ).
cnf(c8,plain,
( X23 != X22
| multiply(X23,X21) = multiply(X22,X21) ),
inference(resolution,status(thm),[c0,reflexivity]) ).
cnf(c11,plain,
multiply(multiply(X64,multiply(multiply(inverse(multiply(X64,X67)),X66),X67)),X65) = multiply(X66,X65),
inference(resolution,status(thm),[c8,single_axiom]) ).
cnf(c46,plain,
( X428 != X433
| multiply(X428,multiply(multiply(X432,multiply(multiply(inverse(multiply(X432,X431)),X430),X431)),X429)) = multiply(X433,multiply(X430,X429)) ),
inference(resolution,status(thm),[c11,c0]) ).
cnf(c639,plain,
multiply(X435,multiply(multiply(X434,multiply(multiply(inverse(multiply(X434,X437)),X436),X437)),X438)) = multiply(X435,multiply(X436,X438)),
inference(resolution,status(thm),[c46,reflexivity]) ).
cnf(c662,plain,
multiply(X440,multiply(X443,X439)) = multiply(X440,multiply(multiply(X442,multiply(multiply(inverse(multiply(X442,X441)),X443),X441)),X439)),
inference(resolution,status(thm),[c639,symmetry]) ).
cnf(c688,plain,
multiply(X446,multiply(X447,X444)) = multiply(multiply(inverse(multiply(inverse(multiply(X446,X444)),X445)),X447),X445),
inference(resolution,status(thm),[c662,c4]) ).
cnf(c695,plain,
multiply(multiply(inverse(multiply(inverse(multiply(X449,X451)),X448)),X450),X448) = multiply(X449,multiply(X450,X451)),
inference(resolution,status(thm),[c688,symmetry]) ).
cnf(c720,plain,
multiply(multiply(inverse(multiply(inverse(multiply(X467,X466)),X468)),multiply(inverse(multiply(X467,X466)),X469)),X468) = X469,
inference(resolution,status(thm),[c695,c4]) ).
cnf(c743,plain,
( X808 != multiply(multiply(inverse(multiply(inverse(multiply(X809,X806)),X807)),multiply(inverse(multiply(X809,X806)),X810)),X807)
| X808 = X810 ),
inference(resolution,status(thm),[c720,transitivity]) ).
cnf(c9,plain,
( X59 != X63
| multiply(X59,multiply(X60,multiply(multiply(inverse(multiply(X60,X61)),X62),X61))) = multiply(X63,X62) ),
inference(resolution,status(thm),[c0,single_axiom]) ).
cnf(c36,plain,
multiply(X73,multiply(X72,multiply(multiply(inverse(multiply(X72,X74)),X75),X74))) = multiply(X73,X75),
inference(resolution,status(thm),[c9,reflexivity]) ).
cnf(c62,plain,
( X590 != X595
| multiply(X590,multiply(X593,multiply(X594,multiply(multiply(inverse(multiply(X594,X592)),X591),X592)))) = multiply(X595,multiply(X593,X591)) ),
inference(resolution,status(thm),[c36,c0]) ).
cnf(c1069,plain,
multiply(X597,multiply(X598,multiply(X596,multiply(multiply(inverse(multiply(X596,X600)),X599),X600)))) = multiply(X597,multiply(X598,X599)),
inference(resolution,status(thm),[c62,reflexivity]) ).
cnf(c1096,plain,
( X1481 != multiply(X1477,multiply(X1479,multiply(X1480,multiply(multiply(inverse(multiply(X1480,X1482)),X1478),X1482))))
| X1481 = multiply(X1477,multiply(X1479,X1478)) ),
inference(resolution,status(thm),[c1069,transitivity]) ).
cnf(c1,plain,
( X15 != X14
| inverse(X15) = inverse(X14) ),
eq_axiom ).
cnf(c7,plain,
inverse(multiply(X40,multiply(multiply(inverse(multiply(X40,X42)),X41),X42))) = inverse(X41),
inference(resolution,status(thm),[c1,single_axiom]) ).
cnf(c23,plain,
multiply(inverse(multiply(X130,multiply(multiply(inverse(multiply(X130,X127)),X128),X127))),X129) = multiply(inverse(X128),X129),
inference(resolution,status(thm),[c7,c8]) ).
cnf(c119,plain,
( X415 != multiply(inverse(multiply(X416,multiply(multiply(inverse(multiply(X416,X414)),X417),X414))),X413)
| X415 = multiply(inverse(X417),X413) ),
inference(resolution,status(thm),[c23,transitivity]) ).
cnf(c696,plain,
( X2236 != X2241
| multiply(X2236,multiply(X2240,multiply(X2237,X2239))) = multiply(X2241,multiply(multiply(inverse(multiply(inverse(multiply(X2240,X2239)),X2238)),X2237),X2238)) ),
inference(resolution,status(thm),[c688,c0]) ).
cnf(c7288,plain,
multiply(X2251,multiply(X2252,multiply(X2249,X2250))) = multiply(X2251,multiply(multiply(inverse(multiply(inverse(multiply(X2252,X2250)),X2253)),X2249),X2253)),
inference(resolution,status(thm),[c696,reflexivity]) ).
cnf(c7380,plain,
multiply(inverse(multiply(X2256,X2254)),multiply(X2256,multiply(X2255,X2254))) = X2255,
inference(resolution,status(thm),[c7288,c4]) ).
cnf(c7411,plain,
X2258 = multiply(inverse(multiply(X2257,X2259)),multiply(X2257,multiply(X2258,X2259))),
inference(resolution,status(thm),[c7380,symmetry]) ).
cnf(c7453,plain,
X2351 = multiply(inverse(X2353),multiply(X2352,multiply(X2351,multiply(multiply(inverse(multiply(X2352,X2350)),X2353),X2350)))),
inference(resolution,status(thm),[c7411,c119]) ).
cnf(c8048,plain,
X2355 = multiply(inverse(X2354),multiply(X2355,X2354)),
inference(resolution,status(thm),[c7453,c1096]) ).
cnf(c8104,plain,
multiply(inverse(multiply(inverse(X2367),X2367)),X2368) = X2368,
inference(resolution,status(thm),[c8048,c4]) ).
cnf(c8234,plain,
X2369 = multiply(inverse(multiply(inverse(X2370),X2370)),X2369),
inference(resolution,status(thm),[c8104,symmetry]) ).
cnf(c8080,plain,
multiply(inverse(X2363),multiply(X2364,X2363)) = X2364,
inference(resolution,status(thm),[c8048,symmetry]) ).
cnf(c8162,plain,
( X2391 != multiply(inverse(X2389),multiply(X2390,X2389))
| X2391 = X2390 ),
inference(resolution,status(thm),[c8080,transitivity]) ).
cnf(c8652,plain,
multiply(X2400,multiply(inverse(X2401),X2401)) = X2400,
inference(resolution,status(thm),[c8162,c8234]) ).
cnf(c8720,plain,
( X2435 != multiply(X2434,multiply(inverse(X2436),X2436))
| X2435 = X2434 ),
inference(resolution,status(thm),[c8652,transitivity]) ).
cnf(c9092,plain,
multiply(inverse(X2467),X2467) = inverse(multiply(inverse(X2468),X2468)),
inference(resolution,status(thm),[c8720,c8234]) ).
cnf(c9474,plain,
inverse(multiply(inverse(X2480),X2480)) = multiply(inverse(X2479),X2479),
inference(resolution,status(thm),[c9092,symmetry]) ).
cnf(c9539,plain,
( X2937 != inverse(multiply(inverse(X2936),X2936))
| X2937 = multiply(inverse(X2938),X2938) ),
inference(resolution,status(thm),[c9474,transitivity]) ).
cnf(c14042,plain,
multiply(inverse(X2939),X2939) = multiply(inverse(X2940),X2940),
inference(resolution,status(thm),[c9539,c9092]) ).
cnf(c14094,plain,
multiply(multiply(inverse(X6124),X6124),X6122) = multiply(multiply(inverse(X6123),X6123),X6122),
inference(resolution,status(thm),[c14042,c8]) ).
cnf(c51575,plain,
multiply(multiply(inverse(X6126),X6126),X6125) = X6125,
inference(resolution,status(thm),[c14094,c743]) ).
cnf(c51688,plain,
$false,
inference(resolution,status(thm),[c51575,prove_these_axioms_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP518-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.35 % Computer : n011.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Tue Jun 14 12:42:19 EDT 2022
% 0.15/0.35 % CPUTime :
% 34.05/34.22 # Version: 1.3
% 34.05/34.22 # SZS status Unsatisfiable
% 34.05/34.22 # SZS output start CNFRefutation
% See solution above
% 34.05/34.22
% 34.05/34.22 # Initial clauses : 7
% 34.05/34.22 # Processed clauses : 738
% 34.05/34.22 # Factors computed : 0
% 34.05/34.22 # Resolvents computed: 51810
% 34.05/34.22 # Tautologies deleted: 1
% 34.05/34.22 # Forward subsumed : 1139
% 34.05/34.22 # Backward subsumed : 1
% 34.05/34.22 # -------- CPU Time ---------
% 34.05/34.22 # User time : 33.701 s
% 34.05/34.22 # System time : 0.151 s
% 34.05/34.22 # Total time : 33.852 s
%------------------------------------------------------------------------------