%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP595-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n028.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 17:24:06 EDT 2024
% Result : Unsatisfiable 211.90s 212.14s
% Output : Refutation 211.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 9
% Syntax : Number of clauses : 72 ( 52 unt; 0 nHn; 17 RR)
% Number of literals : 95 ( 94 equ; 24 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 244 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(symmetry,axiom,
( X4 != X3
| X3 = X4 ),
theory(equality) ).
cnf(transitivity,axiom,
( X10 != X9
| X9 != X8
| X10 = X8 ),
theory(equality) ).
cnf(multiply,axiom,
multiply(X6,X7) = inverse(double_divide(X7,X6)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c4,plain,
inverse(double_divide(X21,X20)) = multiply(X20,X21),
inference(resolution,[status(thm)],[multiply,symmetry]) ).
cnf(c13,plain,
( X46 != inverse(double_divide(X45,X47))
| X46 = multiply(X47,X45) ),
inference(resolution,[status(thm)],[c4,transitivity]) ).
cnf(c0,axiom,
( X17 != X18
| inverse(X17) = inverse(X18) ),
theory(equality) ).
cnf(single_axiom,axiom,
inverse(double_divide(double_divide(X12,X13),inverse(double_divide(X12,inverse(double_divide(X11,X13)))))) = X11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c8,plain,
( X63 != inverse(double_divide(double_divide(X65,X64),inverse(double_divide(X65,inverse(double_divide(X62,X64))))))
| X63 = X62 ),
inference(resolution,[status(thm)],[single_axiom,transitivity]) ).
cnf(c6,plain,
( X25 != multiply(X24,X26)
| X25 = inverse(double_divide(X26,X24)) ),
inference(resolution,[status(thm)],[transitivity,multiply]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c2,axiom,
( X48 != X49
| X51 != X50
| multiply(X48,X51) = multiply(X49,X50) ),
theory(equality) ).
cnf(c42,plain,
( X59 != X60
| multiply(X59,X61) = multiply(X60,X61) ),
inference(resolution,[status(thm)],[c2,reflexivity]) ).
cnf(c55,plain,
multiply(multiply(X87,X89),X88) = multiply(inverse(double_divide(X89,X87)),X88),
inference(resolution,[status(thm)],[c42,multiply]) ).
cnf(c111,plain,
multiply(multiply(X157,X158),X159) = inverse(double_divide(X159,inverse(double_divide(X158,X157)))),
inference(resolution,[status(thm)],[c55,c6]) ).
cnf(c270,plain,
multiply(multiply(inverse(double_divide(X168,X169)),X167),double_divide(X167,X169)) = X168,
inference(resolution,[status(thm)],[c111,c8]) ).
cnf(c296,plain,
( X430 != multiply(multiply(inverse(double_divide(X432,X429)),X431),double_divide(X431,X429))
| X430 = X432 ),
inference(resolution,[status(thm)],[c270,transitivity]) ).
cnf(c116,plain,
multiply(multiply(multiply(X639,X641),X640),X642) = multiply(multiply(inverse(double_divide(X641,X639)),X640),X642),
inference(resolution,[status(thm)],[c55,c42]) ).
cnf(c1908,plain,
multiply(multiply(multiply(X643,X644),X645),double_divide(X645,X643)) = X644,
inference(resolution,[status(thm)],[c116,c296]) ).
cnf(c1920,plain,
( X687 != multiply(multiply(multiply(X688,X686),X685),double_divide(X685,X688))
| X687 = X686 ),
inference(resolution,[status(thm)],[c1908,transitivity]) ).
cnf(c1919,plain,
X647 = multiply(multiply(multiply(X648,X647),X646),double_divide(X646,X648)),
inference(resolution,[status(thm)],[c1908,symmetry]) ).
cnf(c1971,plain,
multiply(X764,X766) = multiply(multiply(multiply(multiply(X765,X764),X763),double_divide(X763,X765)),X766),
inference(resolution,[status(thm)],[c1919,c42]) ).
cnf(c2755,plain,
multiply(X769,double_divide(double_divide(X768,X767),multiply(X767,X769))) = X768,
inference(resolution,[status(thm)],[c1971,c1920]) ).
cnf(c2772,plain,
( X796 != multiply(X795,double_divide(double_divide(X798,X797),multiply(X797,X795)))
| X796 = X798 ),
inference(resolution,[status(thm)],[c2755,transitivity]) ).
cnf(c2762,plain,
multiply(multiply(X9030,X9028),X9032) = multiply(multiply(multiply(multiply(multiply(X9029,X9030),X9031),double_divide(X9031,X9029)),X9028),X9032),
inference(resolution,[status(thm)],[c1971,c42]) ).
cnf(c115497,plain,
multiply(multiply(X9037,X9040),double_divide(X9040,multiply(multiply(X9038,X9037),X9039))) = double_divide(X9039,X9038),
inference(resolution,[status(thm)],[c2762,c1920]) ).
cnf(c115509,plain,
double_divide(X9042,X9044) = multiply(multiply(X9043,X9041),double_divide(X9041,multiply(multiply(X9044,X9043),X9042))),
inference(resolution,[status(thm)],[c115497,symmetry]) ).
cnf(c115669,plain,
double_divide(multiply(X9050,double_divide(X9052,multiply(X9051,X9050))),X9051) = X9052,
inference(resolution,[status(thm)],[c115509,c2772]) ).
cnf(c116058,plain,
( X9081 != double_divide(multiply(X9083,double_divide(X9082,multiply(X9080,X9083))),X9080)
| X9081 = X9082 ),
inference(resolution,[status(thm)],[c115669,transitivity]) ).
cnf(c1,axiom,
( X33 != X34
| X36 != X35
| double_divide(X33,X36) = double_divide(X34,X35) ),
theory(equality) ).
cnf(c23,plain,
( X41 != X40
| double_divide(X41,X42) = double_divide(X40,X42) ),
inference(resolution,[status(thm)],[c1,reflexivity]) ).
cnf(c2771,plain,
X771 = multiply(X770,double_divide(double_divide(X771,X772),multiply(X772,X770))),
inference(resolution,[status(thm)],[c2755,symmetry]) ).
cnf(c2832,plain,
multiply(X955,X956) = multiply(multiply(X954,double_divide(double_divide(X955,X957),multiply(X957,X954))),X956),
inference(resolution,[status(thm)],[c2771,c42]) ).
cnf(c4222,plain,
multiply(multiply(X12480,X12477),X12479) = multiply(multiply(multiply(X12478,double_divide(double_divide(X12480,X12476),multiply(X12476,X12478))),X12477),X12479),
inference(resolution,[status(thm)],[c2832,c42]) ).
cnf(c198708,plain,
multiply(multiply(X12481,X12484),double_divide(X12484,X12483)) = double_divide(double_divide(X12481,X12482),multiply(X12482,X12483)),
inference(resolution,[status(thm)],[c4222,c1920]) ).
cnf(c198721,plain,
double_divide(double_divide(X12488,X12485),multiply(X12485,X12487)) = multiply(multiply(X12488,X12486),double_divide(X12486,X12487)),
inference(resolution,[status(thm)],[c198708,symmetry]) ).
cnf(c199011,plain,
double_divide(double_divide(multiply(X12497,X12496),X12495),multiply(X12495,X12497)) = X12496,
inference(resolution,[status(thm)],[c198721,c1920]) ).
cnf(c199195,plain,
X12499 = double_divide(double_divide(multiply(X12498,X12499),X12500),multiply(X12500,X12498)),
inference(resolution,[status(thm)],[c199011,symmetry]) ).
cnf(c199445,plain,
inverse(X12585) = inverse(double_divide(double_divide(multiply(X12584,X12585),X12583),multiply(X12583,X12584))),
inference(resolution,[status(thm)],[c199195,c0]) ).
cnf(c201482,plain,
inverse(X12586) = multiply(multiply(X12588,X12587),double_divide(multiply(X12587,X12586),X12588)),
inference(resolution,[status(thm)],[c199445,c13]) ).
cnf(c201560,plain,
multiply(inverse(X13346),X13345) = multiply(multiply(multiply(X13343,X13344),double_divide(multiply(X13344,X13346),X13343)),X13345),
inference(resolution,[status(thm)],[c201482,c42]) ).
cnf(c224744,plain,
multiply(inverse(X13347),double_divide(double_divide(multiply(X13348,X13347),X13349),X13349)) = X13348,
inference(resolution,[status(thm)],[c201560,c1920]) ).
cnf(c224766,plain,
X13351 = multiply(inverse(X13352),double_divide(double_divide(multiply(X13351,X13352),X13350),X13350)),
inference(resolution,[status(thm)],[c224744,symmetry]) ).
cnf(c225153,plain,
double_divide(X14216,X14213) = double_divide(multiply(inverse(X14214),double_divide(double_divide(multiply(X14216,X14214),X14215),X14215)),X14213),
inference(resolution,[status(thm)],[c224766,c23]) ).
cnf(c249755,plain,
double_divide(X14218,X14217) = double_divide(multiply(X14218,X14219),multiply(X14217,inverse(X14219))),
inference(resolution,[status(thm)],[c225153,c116058]) ).
cnf(c249890,plain,
inverse(double_divide(X14262,X14260)) = inverse(double_divide(multiply(X14262,X14261),multiply(X14260,inverse(X14261)))),
inference(resolution,[status(thm)],[c249755,c0]) ).
cnf(c251308,plain,
inverse(double_divide(X14265,X14267)) = multiply(multiply(X14267,inverse(X14266)),multiply(X14265,X14266)),
inference(resolution,[status(thm)],[c249890,c13]) ).
cnf(c251541,plain,
multiply(multiply(X14268,inverse(X14269)),multiply(X14270,X14269)) = inverse(double_divide(X14270,X14268)),
inference(resolution,[status(thm)],[c251308,symmetry]) ).
cnf(c251801,plain,
multiply(multiply(X14273,inverse(X14272)),multiply(X14271,X14272)) = multiply(X14273,X14271),
inference(resolution,[status(thm)],[c251541,c13]) ).
cnf(c252038,plain,
( X14439 != multiply(multiply(X14440,inverse(X14438)),multiply(X14437,X14438))
| X14439 = multiply(X14440,X14437) ),
inference(resolution,[status(thm)],[c251801,transitivity]) ).
cnf(c115895,plain,
( X10098 != X10100
| multiply(X10098,double_divide(multiply(X10096,double_divide(X10097,multiply(X10099,X10096))),X10099)) = multiply(X10100,X10097) ),
inference(resolution,[status(thm)],[c115669,c2]) ).
cnf(c137290,plain,
multiply(X10104,double_divide(multiply(X10103,double_divide(X10101,multiply(X10102,X10103))),X10102)) = multiply(X10104,X10101),
inference(resolution,[status(thm)],[c115895,reflexivity]) ).
cnf(c137858,plain,
multiply(X10105,X10106) = multiply(X10105,double_divide(multiply(X10107,double_divide(X10106,multiply(X10108,X10107))),X10108)),
inference(resolution,[status(thm)],[c137290,symmetry]) ).
cnf(c138132,plain,
multiply(multiply(multiply(X10116,X10115),multiply(X10113,double_divide(X10114,multiply(X10116,X10113)))),X10114) = X10115,
inference(resolution,[status(thm)],[c137858,c1920]) ).
cnf(c138325,plain,
( X11286 != multiply(multiply(multiply(X11287,X11288),multiply(X11289,double_divide(X11290,multiply(X11287,X11289)))),X11290)
| X11286 = X11288 ),
inference(resolution,[status(thm)],[c138132,transitivity]) ).
cnf(c1914,plain,
( X3665 != X3667
| multiply(X3665,multiply(multiply(multiply(X3666,X3664),X3663),double_divide(X3663,X3666))) = multiply(X3667,X3664) ),
inference(resolution,[status(thm)],[c1908,c2]) ).
cnf(c27957,plain,
multiply(X3671,multiply(multiply(multiply(X3668,X3670),X3669),double_divide(X3669,X3668))) = multiply(X3671,X3670),
inference(resolution,[status(thm)],[c1914,reflexivity]) ).
cnf(c28252,plain,
( X6120 != multiply(X6119,multiply(multiply(multiply(X6121,X6122),X6123),double_divide(X6123,X6121)))
| X6120 = multiply(X6119,X6122) ),
inference(resolution,[status(thm)],[c27957,transitivity]) ).
cnf(c43,plain,
( X225 != X226
| multiply(X225,inverse(double_divide(X227,X228))) = multiply(X226,multiply(X228,X227)) ),
inference(resolution,[status(thm)],[c2,c4]) ).
cnf(c461,plain,
multiply(X231,inverse(double_divide(X229,X230))) = multiply(X231,multiply(X230,X229)),
inference(resolution,[status(thm)],[c43,reflexivity]) ).
cnf(c475,plain,
multiply(X234,multiply(X233,X232)) = multiply(X234,inverse(double_divide(X232,X233))),
inference(resolution,[status(thm)],[c461,symmetry]) ).
cnf(c502,plain,
multiply(multiply(X1430,multiply(X1428,X1427)),X1429) = multiply(multiply(X1430,inverse(double_divide(X1427,X1428))),X1429),
inference(resolution,[status(thm)],[c475,c42]) ).
cnf(c259059,plain,
multiply(multiply(X14603,multiply(X14602,X14601)),multiply(X14604,double_divide(X14601,X14602))) = multiply(X14603,X14604),
inference(resolution,[status(thm)],[c252038,c502]) ).
cnf(c263860,plain,
multiply(X14664,X14667) = multiply(multiply(X14664,multiply(X14665,X14666)),multiply(X14667,double_divide(X14666,X14665))),
inference(resolution,[status(thm)],[c259059,symmetry]) ).
cnf(c265406,plain,
multiply(X14707,multiply(multiply(X14709,X14708),X14710)) = multiply(multiply(X14707,multiply(X14709,X14710)),X14708),
inference(resolution,[status(thm)],[c263860,c28252]) ).
cnf(c266312,plain,
multiply(multiply(X14735,X14734),multiply(multiply(X14732,X14733),double_divide(X14733,multiply(X14735,X14732)))) = X14734,
inference(resolution,[status(thm)],[c265406,c138325]) ).
cnf(c267519,plain,
X14779 = multiply(multiply(X14781,X14779),multiply(multiply(X14778,X14780),double_divide(X14780,multiply(X14781,X14778)))),
inference(resolution,[status(thm)],[c266312,symmetry]) ).
cnf(c269149,plain,
inverse(double_divide(X14783,multiply(X14784,X14782))) = multiply(X14784,multiply(X14782,X14783)),
inference(resolution,[status(thm)],[c267519,c252038]) ).
cnf(c269242,plain,
multiply(X14786,multiply(X14787,X14785)) = inverse(double_divide(X14785,multiply(X14786,X14787))),
inference(resolution,[status(thm)],[c269149,symmetry]) ).
cnf(c269514,plain,
multiply(X14793,multiply(X14792,X14791)) = multiply(multiply(X14793,X14792),X14791),
inference(resolution,[status(thm)],[c269242,c13]) ).
cnf(c269884,plain,
multiply(multiply(X14805,X14804),X14806) = multiply(X14805,multiply(X14804,X14806)),
inference(resolution,[status(thm)],[c269514,symmetry]) ).
cnf(c271886,plain,
$false,
inference(resolution,[status(thm)],[c269884,prove_these_axioms_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP595-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.35 % Computer : n028.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 : 300
% 0.15/0.35 % DateTime : Thu May 9 03:48:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 211.90/212.14 % Version: 1.5
% 211.90/212.14 % SZS status Unsatisfiable
% 211.90/212.14 % SZS output start CNFRefutation
% See solution above
% 211.90/212.14
% 211.90/212.14 % Initial clauses : 9
% 211.90/212.14 % Processed clauses : 1796
% 211.90/212.14 % Factors computed : 3
% 211.90/212.14 % Resolvents computed: 271894
% 211.90/212.14 % Tautologies deleted: 2
% 211.90/212.14 % Forward subsumed : 2147
% 211.90/212.14 % Backward subsumed : 8
% 211.90/212.14 % -------- CPU Time ---------
% 211.90/212.14 % User time : 210.996 s
% 211.90/212.14 % System time : 0.736 s
% 211.90/212.14 % Total time : 211.732 s
%------------------------------------------------------------------------------