TSTP Solution File: GRP518-1 by PyRes---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP518-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 : 300s
% DateTime : Thu May 9 17:23:57 EDT 2024
% Result : Unsatisfiable 35.14s 35.32s
% Output : Refutation 35.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 7
% Syntax : Number of clauses : 44 ( 28 unt; 0 nHn; 12 RR)
% Number of literals : 62 ( 61 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 148 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(transitivity,axiom,
( X8 != X6
| X6 != X7
| X8 = X7 ),
theory(equality) ).
cnf(single_axiom,axiom,
multiply(X10,multiply(multiply(inverse(multiply(X10,X12)),X11),X12)) = X11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c6,plain,
( X36 != multiply(X39,multiply(multiply(inverse(multiply(X39,X38)),X37),X38))
| X36 = X37 ),
inference(resolution,[status(thm)],[single_axiom,transitivity]) ).
cnf(symmetry,axiom,
( X4 != X3
| X3 = X4 ),
theory(equality) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c0,axiom,
( X19 != X20
| X21 != X18
| multiply(X19,X21) = multiply(X20,X18) ),
theory(equality) ).
cnf(c10,plain,
( X28 != X29
| multiply(X28,X30) = multiply(X29,X30) ),
inference(resolution,[status(thm)],[c0,reflexivity]) ).
cnf(c20,plain,
multiply(multiply(X71,multiply(multiply(inverse(multiply(X71,X69)),X68),X69)),X70) = multiply(X68,X70),
inference(resolution,[status(thm)],[c10,single_axiom]) ).
cnf(c54,plain,
( X489 != X490
| multiply(X489,multiply(multiply(X487,multiply(multiply(inverse(multiply(X487,X491)),X492),X491)),X488)) = multiply(X490,multiply(X492,X488)) ),
inference(resolution,[status(thm)],[c20,c0]) ).
cnf(c833,plain,
multiply(X495,multiply(multiply(X494,multiply(multiply(inverse(multiply(X494,X496)),X497),X496)),X493)) = multiply(X495,multiply(X497,X493)),
inference(resolution,[status(thm)],[c54,reflexivity]) ).
cnf(c864,plain,
multiply(X498,multiply(X501,X500)) = multiply(X498,multiply(multiply(X499,multiply(multiply(inverse(multiply(X499,X502)),X501),X502)),X500)),
inference(resolution,[status(thm)],[c833,symmetry]) ).
cnf(c886,plain,
multiply(X504,multiply(X505,X503)) = multiply(multiply(inverse(multiply(inverse(multiply(X504,X503)),X506)),X505),X506),
inference(resolution,[status(thm)],[c864,c6]) ).
cnf(c901,plain,
multiply(multiply(inverse(multiply(inverse(multiply(X509,X508)),X507)),X510),X507) = multiply(X509,multiply(X510,X508)),
inference(resolution,[status(thm)],[c886,symmetry]) ).
cnf(c921,plain,
multiply(multiply(inverse(multiply(inverse(multiply(X527,X525)),X526)),multiply(inverse(multiply(X527,X525)),X528)),X526) = X528,
inference(resolution,[status(thm)],[c901,c6]) ).
cnf(c968,plain,
( X854 != multiply(multiply(inverse(multiply(inverse(multiply(X857,X855)),X858)),multiply(inverse(multiply(X857,X855)),X856)),X858)
| X854 = X856 ),
inference(resolution,[status(thm)],[c921,transitivity]) ).
cnf(c1,axiom,
( X15 != X16
| inverse(X15) = inverse(X16) ),
theory(equality) ).
cnf(c8,plain,
inverse(multiply(X46,multiply(multiply(inverse(multiply(X46,X45)),X44),X45))) = inverse(X44),
inference(resolution,[status(thm)],[c1,single_axiom]) ).
cnf(c27,plain,
multiply(inverse(multiply(X146,multiply(multiply(inverse(multiply(X146,X143)),X144),X143))),X145) = multiply(inverse(X144),X145),
inference(resolution,[status(thm)],[c8,c10]) ).
cnf(c150,plain,
( X425 != multiply(inverse(multiply(X428,multiply(multiply(inverse(multiply(X428,X424)),X427),X424))),X426)
| X425 = multiply(inverse(X427),X426) ),
inference(resolution,[status(thm)],[c27,transitivity]) ).
cnf(c11,plain,
( X55 != X56
| multiply(X55,multiply(X58,multiply(multiply(inverse(multiply(X58,X54)),X57),X54))) = multiply(X56,X57) ),
inference(resolution,[status(thm)],[c0,single_axiom]) ).
cnf(c35,plain,
multiply(X82,multiply(X83,multiply(multiply(inverse(multiply(X83,X81)),X84),X81))) = multiply(X82,X84),
inference(resolution,[status(thm)],[c11,reflexivity]) ).
cnf(c79,plain,
( X864 != X865
| multiply(X864,multiply(X866,multiply(X868,multiply(multiply(inverse(multiply(X868,X867)),X863),X867)))) = multiply(X865,multiply(X866,X863)) ),
inference(resolution,[status(thm)],[c35,c0]) ).
cnf(c1715,plain,
multiply(X874,multiply(X877,multiply(X875,multiply(multiply(inverse(multiply(X875,X876)),X873),X876)))) = multiply(X874,multiply(X877,X873)),
inference(resolution,[status(thm)],[c79,reflexivity]) ).
cnf(c1771,plain,
( X1407 != multiply(X1411,multiply(X1409,multiply(X1406,multiply(multiply(inverse(multiply(X1406,X1410)),X1408),X1410))))
| X1407 = multiply(X1411,multiply(X1409,X1408)) ),
inference(resolution,[status(thm)],[c1715,transitivity]) ).
cnf(c906,plain,
( X2313 != X2315
| multiply(X2313,multiply(X2318,multiply(X2317,X2316))) = multiply(X2315,multiply(multiply(inverse(multiply(inverse(multiply(X2318,X2316)),X2314)),X2317),X2314)) ),
inference(resolution,[status(thm)],[c886,c0]) ).
cnf(c8321,plain,
multiply(X2320,multiply(X2322,multiply(X2323,X2319))) = multiply(X2320,multiply(multiply(inverse(multiply(inverse(multiply(X2322,X2319)),X2321)),X2323),X2321)),
inference(resolution,[status(thm)],[c906,reflexivity]) ).
cnf(c8419,plain,
multiply(inverse(multiply(X2326,X2325)),multiply(X2326,multiply(X2324,X2325))) = X2324,
inference(resolution,[status(thm)],[c8321,c6]) ).
cnf(c8467,plain,
X2328 = multiply(inverse(multiply(X2327,X2329)),multiply(X2327,multiply(X2328,X2329))),
inference(resolution,[status(thm)],[c8419,symmetry]) ).
cnf(c8536,plain,
X2417 = multiply(inverse(multiply(X2418,multiply(multiply(inverse(multiply(X2417,X2416)),X2415),X2416))),multiply(X2418,X2415)),
inference(resolution,[status(thm)],[c8467,c1771]) ).
cnf(c9335,plain,
X2425 = multiply(inverse(X2426),multiply(X2425,X2426)),
inference(resolution,[status(thm)],[c8536,c150]) ).
cnf(c9413,plain,
multiply(inverse(multiply(inverse(X2432),X2432)),X2433) = X2433,
inference(resolution,[status(thm)],[c9335,c6]) ).
cnf(c9536,plain,
X2440 = multiply(inverse(multiply(inverse(X2441),X2441)),X2440),
inference(resolution,[status(thm)],[c9413,symmetry]) ).
cnf(c9406,plain,
multiply(inverse(X2428),multiply(X2429,X2428)) = X2429,
inference(resolution,[status(thm)],[c9335,symmetry]) ).
cnf(c9485,plain,
( X2459 != multiply(inverse(X2461),multiply(X2460,X2461))
| X2459 = X2460 ),
inference(resolution,[status(thm)],[c9406,transitivity]) ).
cnf(c9927,plain,
multiply(X2472,multiply(inverse(X2473),X2473)) = X2472,
inference(resolution,[status(thm)],[c9485,c9536]) ).
cnf(c10004,plain,
( X2504 != multiply(X2505,multiply(inverse(X2506),X2506))
| X2504 = X2505 ),
inference(resolution,[status(thm)],[c9927,transitivity]) ).
cnf(c10363,plain,
multiply(inverse(X2534),X2534) = inverse(multiply(inverse(X2533),X2533)),
inference(resolution,[status(thm)],[c10004,c9536]) ).
cnf(c10768,plain,
inverse(multiply(inverse(X2539),X2539)) = multiply(inverse(X2540),X2540),
inference(resolution,[status(thm)],[c10363,symmetry]) ).
cnf(c10821,plain,
( X2974 != inverse(multiply(inverse(X2976),X2976))
| X2974 = multiply(inverse(X2975),X2975) ),
inference(resolution,[status(thm)],[c10768,transitivity]) ).
cnf(c15933,plain,
multiply(inverse(X2978),X2978) = multiply(inverse(X2977),X2977),
inference(resolution,[status(thm)],[c10821,c10363]) ).
cnf(c15941,plain,
multiply(multiply(inverse(X6112),X6112),X6113) = multiply(multiply(inverse(X6111),X6111),X6113),
inference(resolution,[status(thm)],[c15933,c10]) ).
cnf(c54996,plain,
multiply(multiply(inverse(X6115),X6115),X6114) = X6114,
inference(resolution,[status(thm)],[c15941,c968]) ).
cnf(c55067,plain,
$false,
inference(resolution,[status(thm)],[c54996,prove_these_axioms_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP518-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n019.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 : 300
% 0.13/0.35 % DateTime : Thu May 9 04:58:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 35.14/35.32 % Version: 1.5
% 35.14/35.32 % SZS status Unsatisfiable
% 35.14/35.32 % SZS output start CNFRefutation
% See solution above
% 35.14/35.32
% 35.14/35.32 % Initial clauses : 7
% 35.14/35.32 % Processed clauses : 760
% 35.14/35.32 % Factors computed : 2
% 35.14/35.32 % Resolvents computed: 55188
% 35.14/35.32 % Tautologies deleted: 2
% 35.14/35.32 % Forward subsumed : 1148
% 35.14/35.32 % Backward subsumed : 20
% 35.14/35.32 % -------- CPU Time ---------
% 35.14/35.32 % User time : 34.787 s
% 35.14/35.32 % System time : 0.167 s
% 35.14/35.32 % Total time : 34.954 s
%------------------------------------------------------------------------------