%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP522-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n002.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 17:23:58 EDT 2024
% Result : Unsatisfiable 156.59s 156.83s
% Output : Refutation 156.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of clauses : 59 ( 39 unt; 0 nHn; 16 RR)
% Number of literals : 82 ( 81 equ; 24 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 159 ( 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(symmetry,axiom,
( X3 != X4
| X4 = X3 ),
theory(equality) ).
cnf(transitivity,axiom,
( X8 != X10
| X10 != X9
| X8 = X9 ),
theory(equality) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(inverse,axiom,
inverse(X6) = divide(divide(X7,X7),X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(c0,axiom,
( X36 != X38
| X35 != X37
| divide(X36,X35) = divide(X38,X37) ),
theory(equality) ).
cnf(c29,plain,
( X216 != X214
| divide(X216,inverse(X217)) = divide(X214,divide(divide(X215,X215),X217)) ),
inference(resolution,[status(thm)],[c0,inverse]) ).
cnf(c450,plain,
divide(X245,inverse(X246)) = divide(X245,divide(divide(X247,X247),X246)),
inference(resolution,[status(thm)],[c29,reflexivity]) ).
cnf(multiply,axiom,
multiply(X23,X24) = divide(X23,divide(divide(X22,X22),X24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c17,plain,
divide(X74,divide(divide(X75,X75),X76)) = multiply(X74,X76),
inference(resolution,[status(thm)],[multiply,symmetry]) ).
cnf(c95,plain,
( X425 != divide(X424,divide(divide(X423,X423),X422))
| X425 = multiply(X424,X422) ),
inference(resolution,[status(thm)],[c17,transitivity]) ).
cnf(c1249,plain,
divide(X429,inverse(X428)) = multiply(X429,X428),
inference(resolution,[status(thm)],[c95,c450]) ).
cnf(c1280,plain,
( X457 != divide(X456,inverse(X455))
| X457 = multiply(X456,X455) ),
inference(resolution,[status(thm)],[c1249,transitivity]) ).
cnf(c4,plain,
divide(divide(X21,X21),X20) = inverse(X20),
inference(resolution,[status(thm)],[inverse,symmetry]) ).
cnf(c13,plain,
( X63 != divide(divide(X61,X61),X62)
| X63 = inverse(X62) ),
inference(resolution,[status(thm)],[c4,transitivity]) ).
cnf(c28,plain,
( X44 != X43
| divide(X44,X42) = divide(X43,X42) ),
inference(resolution,[status(thm)],[c0,reflexivity]) ).
cnf(c1274,plain,
multiply(X431,X430) = divide(X431,inverse(X430)),
inference(resolution,[status(thm)],[c1249,symmetry]) ).
cnf(c1296,plain,
divide(multiply(X525,X526),X524) = divide(divide(X525,inverse(X526)),X524),
inference(resolution,[status(thm)],[c1274,c28]) ).
cnf(c1855,plain,
divide(multiply(inverse(X527),X527),X528) = inverse(X528),
inference(resolution,[status(thm)],[c1296,c13]) ).
cnf(c1883,plain,
inverse(X529) = divide(multiply(inverse(X530),X530),X529),
inference(resolution,[status(thm)],[c1855,symmetry]) ).
cnf(c1909,plain,
inverse(inverse(X536)) = multiply(multiply(inverse(X535),X535),X536),
inference(resolution,[status(thm)],[c1883,c1280]) ).
cnf(c1959,plain,
multiply(multiply(inverse(X537),X537),X538) = inverse(inverse(X538)),
inference(resolution,[status(thm)],[c1909,symmetry]) ).
cnf(single_axiom,axiom,
divide(X12,divide(X13,divide(X11,divide(X12,X13)))) = X11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c8,plain,
( X67 != divide(X64,divide(X66,divide(X65,divide(X64,X66))))
| X67 = X65 ),
inference(resolution,[status(thm)],[single_axiom,transitivity]) ).
cnf(c82,plain,
multiply(X98,divide(X97,divide(X98,divide(X99,X99)))) = X97,
inference(resolution,[status(thm)],[c8,multiply]) ).
cnf(c128,plain,
( X732 != multiply(X731,divide(X730,divide(X731,divide(X729,X729))))
| X732 = X730 ),
inference(resolution,[status(thm)],[c82,transitivity]) ).
cnf(c77,plain,
multiply(divide(X153,X153),X154) = inverse(divide(divide(X152,X152),X154)),
inference(resolution,[status(thm)],[c13,multiply]) ).
cnf(c2,axiom,
( X17 != X18
| inverse(X17) = inverse(X18) ),
theory(equality) ).
cnf(c15,plain,
inverse(divide(divide(X72,X72),X73)) = inverse(inverse(X73)),
inference(resolution,[status(thm)],[c4,c2]) ).
cnf(c85,plain,
( X293 != inverse(divide(divide(X292,X292),X291))
| X293 = inverse(inverse(X291)) ),
inference(resolution,[status(thm)],[c15,transitivity]) ).
cnf(c727,plain,
multiply(divide(X296,X296),X295) = inverse(inverse(X295)),
inference(resolution,[status(thm)],[c85,c77]) ).
cnf(c731,plain,
inverse(inverse(X299)) = multiply(divide(X300,X300),X299),
inference(resolution,[status(thm)],[c727,symmetry]) ).
cnf(c770,plain,
( X337 != inverse(inverse(X335))
| X337 = multiply(divide(X336,X336),X335) ),
inference(resolution,[status(thm)],[c731,transitivity]) ).
cnf(c134,plain,
X114 = multiply(X116,divide(X114,divide(X116,divide(X115,X115)))),
inference(resolution,[status(thm)],[c82,symmetry]) ).
cnf(c152,plain,
inverse(X768) = inverse(multiply(X769,divide(X768,divide(X769,divide(X767,X767))))),
inference(resolution,[status(thm)],[c134,c2]) ).
cnf(c80,plain,
inverse(divide(X155,divide(X156,divide(divide(X157,X157),X155)))) = X156,
inference(resolution,[status(thm)],[c8,inverse]) ).
cnf(c276,plain,
( X2534 != inverse(divide(X2533,divide(X2532,divide(divide(X2531,X2531),X2533))))
| X2534 = X2532 ),
inference(resolution,[status(thm)],[c80,transitivity]) ).
cnf(c1,axiom,
( X50 != X52
| X49 != X51
| multiply(X50,X49) = multiply(X52,X51) ),
theory(equality) ).
cnf(c31,plain,
( X252 != X248
| divide(X252,multiply(X249,X251)) = divide(X248,divide(X249,divide(divide(X250,X250),X251))) ),
inference(resolution,[status(thm)],[c0,multiply]) ).
cnf(c577,plain,
divide(X3103,multiply(X3104,X3106)) = divide(X3103,divide(X3104,divide(divide(X3105,X3105),X3106))),
inference(resolution,[status(thm)],[c31,reflexivity]) ).
cnf(c23430,plain,
divide(X3107,multiply(X3108,divide(X3107,X3108))) = divide(X3109,X3109),
inference(resolution,[status(thm)],[c577,c8]) ).
cnf(c23486,plain,
divide(X3115,X3115) = divide(X3113,multiply(X3114,divide(X3113,X3114))),
inference(resolution,[status(thm)],[c23430,symmetry]) ).
cnf(c23472,plain,
( X3147 != divide(X3146,multiply(X3145,divide(X3146,X3145)))
| X3147 = divide(X3144,X3144) ),
inference(resolution,[status(thm)],[c23430,transitivity]) ).
cnf(c23982,plain,
divide(X3152,X3152) = divide(X3151,X3151),
inference(resolution,[status(thm)],[c23472,c23486]) ).
cnf(c24148,plain,
( X5495 != X5496
| multiply(X5495,divide(X5498,X5498)) = multiply(X5496,divide(X5497,X5497)) ),
inference(resolution,[status(thm)],[c23982,c1]) ).
cnf(c49236,plain,
multiply(X5499,divide(X5501,X5501)) = multiply(X5499,divide(X5500,X5500)),
inference(resolution,[status(thm)],[c24148,reflexivity]) ).
cnf(c49700,plain,
multiply(X5505,divide(X5507,X5507)) = divide(X5505,divide(X5506,X5506)),
inference(resolution,[status(thm)],[c49236,c128]) ).
cnf(c49759,plain,
inverse(multiply(X9518,divide(X9520,X9520))) = inverse(divide(X9518,divide(X9519,X9519))),
inference(resolution,[status(thm)],[c49700,c2]) ).
cnf(c94865,plain,
inverse(multiply(X9525,divide(X9526,X9526))) = divide(divide(X9524,X9524),X9525),
inference(resolution,[status(thm)],[c49759,c276]) ).
cnf(c94974,plain,
inverse(multiply(X9527,divide(X9528,X9528))) = inverse(X9527),
inference(resolution,[status(thm)],[c94865,c13]) ).
cnf(c95027,plain,
( X9586 != inverse(multiply(X9584,divide(X9585,X9585)))
| X9586 = inverse(X9584) ),
inference(resolution,[status(thm)],[c94974,transitivity]) ).
cnf(c95612,plain,
inverse(divide(X9616,divide(X9617,X9617))) = inverse(X9616),
inference(resolution,[status(thm)],[c95027,c152]) ).
cnf(c95867,plain,
inverse(X9627) = inverse(divide(X9627,divide(X9626,X9626))),
inference(resolution,[status(thm)],[c95612,symmetry]) ).
cnf(c96101,plain,
inverse(inverse(X9818)) = inverse(inverse(divide(X9818,divide(X9819,X9819)))),
inference(resolution,[status(thm)],[c95867,c2]) ).
cnf(c100128,plain,
inverse(inverse(X13357)) = multiply(divide(X13358,X13358),divide(X13357,divide(X13359,X13359))),
inference(resolution,[status(thm)],[c96101,c770]) ).
cnf(c147732,plain,
inverse(inverse(X13360)) = X13360,
inference(resolution,[status(thm)],[c100128,c128]) ).
cnf(c147788,plain,
( X13388 != inverse(inverse(X13387))
| X13388 = X13387 ),
inference(resolution,[status(thm)],[c147732,transitivity]) ).
cnf(c149252,plain,
multiply(multiply(inverse(X13483),X13483),X13484) = X13484,
inference(resolution,[status(thm)],[c147788,c1959]) ).
cnf(c154604,plain,
$false,
inference(resolution,[status(thm)],[c149252,prove_these_axioms_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP522-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 9 04:45:38 EDT 2024
% 0.14/0.34 % CPUTime :
% 156.59/156.83 % Version: 1.5
% 156.59/156.83 % SZS status Unsatisfiable
% 156.59/156.83 % SZS output start CNFRefutation
% See solution above
% 156.59/156.83
% 156.59/156.83 % Initial clauses : 10
% 156.59/156.83 % Processed clauses : 1418
% 156.59/156.83 % Factors computed : 3
% 156.59/156.83 % Resolvents computed: 154773
% 156.59/156.83 % Tautologies deleted: 2
% 156.59/156.83 % Forward subsumed : 3194
% 156.59/156.83 % Backward subsumed : 24
% 156.59/156.83 % -------- CPU Time ---------
% 156.59/156.83 % User time : 156.025 s
% 156.59/156.83 % System time : 0.405 s
% 156.59/156.83 % Total time : 156.430 s
%------------------------------------------------------------------------------