TSTP Solution File: GRP080-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP080-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 : Fri May 3 02:20:53 EDT 2024
% Result : Unsatisfiable 4.18s 1.15s
% Output : CNFRefutation 4.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 5
% Syntax : Number of clauses : 113 ( 107 unt; 0 nHn; 9 RR)
% Number of literals : 122 ( 121 equ; 16 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 243 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,double_divide(X2,X0)),identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
double_divide(double_divide(X0,X1),identity) = multiply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,plain,
double_divide(X0,identity) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(c_52,plain,
double_divide(X0,inverse(X0)) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
cnf(c_53,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_76,plain,
double_divide(double_divide(identity,double_divide(X0,inverse(X1))),double_divide(double_divide(X1,double_divide(X2,X0)),identity)) = X2,
inference(demodulation,[status(thm)],[c_49,c_51]) ).
cnf(c_77,plain,
inverse(double_divide(X0,X1)) = multiply(X1,X0),
inference(demodulation,[status(thm)],[c_50,c_51]) ).
cnf(c_78,plain,
double_divide(double_divide(identity,double_divide(X0,inverse(X1))),inverse(double_divide(X1,double_divide(X2,X0)))) = X2,
inference(demodulation,[status(thm)],[c_76,c_51]) ).
cnf(c_84,plain,
double_divide(double_divide(identity,double_divide(X0,inverse(X1))),multiply(double_divide(X2,X0),X1)) = X2,
inference(demodulation,[status(thm)],[c_78,c_77]) ).
cnf(c_86,plain,
multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_51,c_77]) ).
cnf(c_87,plain,
multiply(inverse(X0),X0) = inverse(identity),
inference(superposition,[status(thm)],[c_52,c_77]) ).
cnf(c_88,plain,
double_divide(double_divide(X0,X1),multiply(X1,X0)) = identity,
inference(superposition,[status(thm)],[c_77,c_52]) ).
cnf(c_92,plain,
double_divide(double_divide(identity,identity),multiply(double_divide(X0,X1),X1)) = X0,
inference(superposition,[status(thm)],[c_52,c_84]) ).
cnf(c_94,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X0))),multiply(inverse(X1),X0)) = X1,
inference(superposition,[status(thm)],[c_51,c_84]) ).
cnf(c_95,plain,
double_divide(double_divide(identity,double_divide(inverse(X0),inverse(X1))),multiply(identity,X1)) = X0,
inference(superposition,[status(thm)],[c_52,c_84]) ).
cnf(c_96,plain,
double_divide(double_divide(identity,double_divide(multiply(double_divide(X0,X1),X2),inverse(X3))),multiply(X0,X3)) = double_divide(identity,double_divide(X1,inverse(X2))),
inference(superposition,[status(thm)],[c_84,c_84]) ).
cnf(c_98,plain,
multiply(multiply(double_divide(X0,X1),X2),double_divide(identity,double_divide(X1,inverse(X2)))) = inverse(X0),
inference(superposition,[status(thm)],[c_84,c_77]) ).
cnf(c_99,plain,
double_divide(inverse(identity),multiply(double_divide(X0,X1),X1)) = X0,
inference(demodulation,[status(thm)],[c_92,c_51]) ).
cnf(c_100,plain,
double_divide(double_divide(identity,double_divide(inverse(X0),inverse(X1))),inverse(inverse(X1))) = X0,
inference(demodulation,[status(thm)],[c_95,c_86]) ).
cnf(c_107,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2
| inverse(identity) != identity ),
inference(demodulation,[status(thm)],[c_53,c_87]) ).
cnf(c_108,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| inverse(inverse(a2)) != a2
| inverse(identity) != identity ),
inference(demodulation,[status(thm)],[c_107,c_86]) ).
cnf(c_118,plain,
double_divide(double_divide(identity,double_divide(multiply(X0,X1),inverse(X2))),multiply(identity,X2)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_88,c_84]) ).
cnf(c_121,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_88,c_84]) ).
cnf(c_124,plain,
double_divide(double_divide(identity,double_divide(multiply(X0,X1),inverse(X2))),inverse(inverse(X2))) = double_divide(X1,X0),
inference(demodulation,[status(thm)],[c_118,c_86]) ).
cnf(c_126,plain,
double_divide(identity,multiply(double_divide(X0,X1),X1)) = X0,
inference(demodulation,[status(thm)],[c_99,c_121]) ).
cnf(c_128,plain,
double_divide(identity,multiply(identity,inverse(X0))) = X0,
inference(superposition,[status(thm)],[c_52,c_126]) ).
cnf(c_129,plain,
double_divide(identity,multiply(X0,multiply(double_divide(X0,X1),X2))) = double_divide(identity,double_divide(X1,inverse(X2))),
inference(superposition,[status(thm)],[c_84,c_126]) ).
cnf(c_130,plain,
double_divide(identity,multiply(identity,multiply(X0,X1))) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_88,c_126]) ).
cnf(c_133,plain,
double_divide(identity,multiply(X0,multiply(double_divide(X0,X1),X1))) = identity,
inference(superposition,[status(thm)],[c_126,c_126]) ).
cnf(c_135,plain,
multiply(multiply(double_divide(X0,X1),X1),identity) = inverse(X0),
inference(superposition,[status(thm)],[c_126,c_77]) ).
cnf(c_136,plain,
double_divide(identity,inverse(inverse(inverse(X0)))) = X0,
inference(demodulation,[status(thm)],[c_128,c_86]) ).
cnf(c_138,plain,
double_divide(identity,inverse(inverse(multiply(X0,X1)))) = double_divide(X1,X0),
inference(demodulation,[status(thm)],[c_130,c_86]) ).
cnf(c_149,plain,
double_divide(double_divide(identity,double_divide(inverse(inverse(X0)),inverse(X1))),multiply(X2,X1)) = double_divide(identity,double_divide(inverse(X2),inverse(X0))),
inference(superposition,[status(thm)],[c_100,c_84]) ).
cnf(c_150,plain,
double_divide(identity,double_divide(inverse(X0),inverse(X1))) = double_divide(identity,multiply(X0,inverse(inverse(X1)))),
inference(superposition,[status(thm)],[c_100,c_126]) ).
cnf(c_152,plain,
multiply(inverse(inverse(X0)),double_divide(identity,double_divide(inverse(X1),inverse(X0)))) = inverse(X1),
inference(superposition,[status(thm)],[c_100,c_77]) ).
cnf(c_153,plain,
double_divide(double_divide(identity,X0),multiply(double_divide(X1,double_divide(identity,double_divide(inverse(X0),inverse(X2)))),inverse(X2))) = X1,
inference(superposition,[status(thm)],[c_100,c_84]) ).
cnf(c_155,plain,
double_divide(double_divide(identity,X0),multiply(double_divide(X1,double_divide(identity,multiply(X0,inverse(inverse(X2))))),inverse(X2))) = X1,
inference(demodulation,[status(thm)],[c_153,c_150]) ).
cnf(c_156,plain,
double_divide(double_divide(identity,multiply(inverse(X0),inverse(inverse(X1)))),multiply(X2,X1)) = double_divide(identity,multiply(X2,inverse(inverse(X0)))),
inference(demodulation,[status(thm)],[c_149,c_150]) ).
cnf(c_163,plain,
double_divide(double_divide(identity,double_divide(identity,multiply(X0,X1))),multiply(inverse(X2),double_divide(X1,X0))) = X2,
inference(superposition,[status(thm)],[c_77,c_94]) ).
cnf(c_164,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X0))),inverse(identity)) = X0,
inference(superposition,[status(thm)],[c_87,c_94]) ).
cnf(c_166,plain,
double_divide(double_divide(identity,double_divide(multiply(inverse(X0),X1),inverse(X2))),multiply(X0,X2)) = double_divide(identity,double_divide(identity,inverse(X1))),
inference(superposition,[status(thm)],[c_94,c_84]) ).
cnf(c_170,plain,
multiply(double_divide(identity,inverse(X0)),identity) = X0,
inference(demodulation,[status(thm)],[c_164,c_51,c_77,c_121]) ).
cnf(c_179,plain,
multiply(multiply(identity,X0),double_divide(identity,double_divide(inverse(X1),inverse(X0)))) = inverse(X1),
inference(superposition,[status(thm)],[c_52,c_98]) ).
cnf(c_189,plain,
multiply(inverse(inverse(X0)),double_divide(identity,multiply(X1,inverse(inverse(X0))))) = inverse(X1),
inference(demodulation,[status(thm)],[c_179,c_86,c_150]) ).
cnf(c_265,plain,
double_divide(double_divide(identity,double_divide(multiply(double_divide(identity,X0),X1),inverse(X2))),inverse(inverse(X2))) = double_divide(identity,double_divide(X0,inverse(X1))),
inference(superposition,[status(thm)],[c_86,c_96]) ).
cnf(c_271,plain,
double_divide(identity,multiply(double_divide(identity,double_divide(X0,inverse(X1))),multiply(X2,X3))) = double_divide(identity,double_divide(multiply(double_divide(X2,X0),X1),inverse(X3))),
inference(superposition,[status(thm)],[c_96,c_126]) ).
cnf(c_278,plain,
double_divide(identity,double_divide(X0,inverse(X1))) = double_divide(X1,double_divide(identity,X0)),
inference(demodulation,[status(thm)],[c_265,c_124]) ).
cnf(c_282,plain,
double_divide(identity,multiply(double_divide(X0,double_divide(identity,X1)),multiply(X2,X3))) = double_divide(X3,double_divide(identity,multiply(double_divide(X2,X1),X0))),
inference(demodulation,[status(thm)],[c_271,c_278]) ).
cnf(c_343,plain,
( inverse(inverse(a2)) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(global_subsumption_just,[status(thm)],[c_108,c_108,c_121]) ).
cnf(c_344,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| inverse(inverse(a2)) != a2 ),
inference(renaming,[status(thm)],[c_343]) ).
cnf(c_466,plain,
multiply(multiply(X0,multiply(inverse(X0),X1)),identity) = inverse(double_divide(identity,double_divide(identity,inverse(X1)))),
inference(superposition,[status(thm)],[c_94,c_135]) ).
cnf(c_480,plain,
multiply(multiply(X0,multiply(inverse(X0),X1)),identity) = X1,
inference(demodulation,[status(thm)],[c_466,c_77,c_170]) ).
cnf(c_530,plain,
double_divide(X0,double_divide(identity,X0)) = identity,
inference(demodulation,[status(thm)],[c_133,c_129,c_278]) ).
cnf(c_543,plain,
double_divide(identity,multiply(identity,double_divide(identity,X0))) = X0,
inference(superposition,[status(thm)],[c_530,c_126]) ).
cnf(c_551,plain,
double_divide(identity,inverse(multiply(X0,identity))) = X0,
inference(demodulation,[status(thm)],[c_543,c_77,c_86]) ).
cnf(c_570,plain,
double_divide(identity,multiply(X0,multiply(double_divide(X0,X1),X2))) = double_divide(X2,double_divide(identity,X1)),
inference(demodulation,[status(thm)],[c_129,c_278]) ).
cnf(c_574,plain,
double_divide(identity,multiply(X0,multiply(inverse(X0),X1))) = double_divide(X1,double_divide(identity,identity)),
inference(superposition,[status(thm)],[c_51,c_570]) ).
cnf(c_575,plain,
double_divide(identity,multiply(X0,multiply(identity,X1))) = double_divide(X1,double_divide(identity,inverse(X0))),
inference(superposition,[status(thm)],[c_52,c_570]) ).
cnf(c_577,plain,
double_divide(identity,multiply(double_divide(X0,X1),multiply(identity,X2))) = double_divide(X2,double_divide(identity,multiply(X1,X0))),
inference(superposition,[status(thm)],[c_88,c_570]) ).
cnf(c_579,plain,
double_divide(identity,multiply(double_divide(identity,double_divide(identity,inverse(X0))),multiply(X1,X2))) = double_divide(X2,double_divide(identity,multiply(inverse(X1),X0))),
inference(superposition,[status(thm)],[c_94,c_570]) ).
cnf(c_601,plain,
double_divide(identity,multiply(X0,inverse(inverse(X1)))) = double_divide(X1,double_divide(identity,inverse(X0))),
inference(demodulation,[status(thm)],[c_575,c_86]) ).
cnf(c_602,plain,
double_divide(identity,multiply(X0,multiply(inverse(X0),X1))) = inverse(X1),
inference(demodulation,[status(thm)],[c_574,c_51,c_121]) ).
cnf(c_607,plain,
double_divide(identity,multiply(double_divide(X0,X1),inverse(inverse(X2)))) = double_divide(X2,double_divide(identity,multiply(X1,X0))),
inference(demodulation,[status(thm)],[c_577,c_86]) ).
cnf(c_610,plain,
double_divide(X0,double_divide(identity,multiply(double_divide(X1,inverse(X2)),identity))) = double_divide(X0,double_divide(identity,multiply(inverse(X1),X2))),
inference(demodulation,[status(thm)],[c_579,c_282]) ).
cnf(c_643,plain,
multiply(inverse(inverse(X0)),double_divide(X0,double_divide(identity,inverse(X1)))) = inverse(X1),
inference(demodulation,[status(thm)],[c_152,c_150,c_601]) ).
cnf(c_648,plain,
multiply(inverse(inverse(X0)),double_divide(X0,X1)) = inverse(inverse(inverse(X1))),
inference(superposition,[status(thm)],[c_136,c_643]) ).
cnf(c_652,plain,
double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(inverse(X0))) = double_divide(identity,inverse(inverse(inverse(X1)))),
inference(superposition,[status(thm)],[c_643,c_138]) ).
cnf(c_662,plain,
double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(inverse(X0))) = X1,
inference(demodulation,[status(thm)],[c_652,c_136]) ).
cnf(c_757,plain,
double_divide(double_divide(identity,X0),multiply(double_divide(X1,double_divide(X2,double_divide(identity,inverse(X0)))),inverse(X2))) = X1,
inference(demodulation,[status(thm)],[c_155,c_601]) ).
cnf(c_766,plain,
double_divide(double_divide(identity,X0),multiply(identity,inverse(identity))) = double_divide(identity,inverse(X0)),
inference(superposition,[status(thm)],[c_530,c_757]) ).
cnf(c_787,plain,
double_divide(identity,inverse(X0)) = multiply(X0,identity),
inference(demodulation,[status(thm)],[c_766,c_51,c_77,c_86,c_121]) ).
cnf(c_859,plain,
double_divide(double_divide(X0,multiply(inverse(X1),identity)),multiply(X2,X0)) = double_divide(X1,multiply(X2,identity)),
inference(demodulation,[status(thm)],[c_156,c_601,c_787]) ).
cnf(c_861,plain,
double_divide(identity,multiply(X0,double_divide(identity,inverse(X1)))) = double_divide(X1,multiply(X0,identity)),
inference(superposition,[status(thm)],[c_88,c_859]) ).
cnf(c_886,plain,
double_divide(identity,multiply(X0,multiply(X1,identity))) = double_divide(X1,multiply(X0,identity)),
inference(demodulation,[status(thm)],[c_861,c_787]) ).
cnf(c_1027,plain,
multiply(multiply(X0,multiply(inverse(X0),double_divide(X1,X2))),identity) = inverse(double_divide(identity,double_divide(identity,multiply(X2,X1)))),
inference(superposition,[status(thm)],[c_163,c_135]) ).
cnf(c_1030,plain,
double_divide(identity,multiply(X0,multiply(inverse(X0),double_divide(X1,X2)))) = double_divide(identity,double_divide(identity,multiply(X2,X1))),
inference(superposition,[status(thm)],[c_163,c_126]) ).
cnf(c_1044,plain,
double_divide(identity,double_divide(identity,multiply(X0,X1))) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_1030,c_77,c_602]) ).
cnf(c_1048,plain,
multiply(multiply(X0,multiply(inverse(X0),double_divide(X1,X2))),identity) = inverse(multiply(X2,X1)),
inference(demodulation,[status(thm)],[c_1027,c_1044]) ).
cnf(c_1049,plain,
inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(demodulation,[status(thm)],[c_1048,c_480]) ).
cnf(c_1136,plain,
double_divide(double_divide(X0,double_divide(identity,multiply(inverse(X1),X2))),multiply(X1,X0)) = inverse(X2),
inference(demodulation,[status(thm)],[c_166,c_51,c_121,c_278]) ).
cnf(c_1154,plain,
inverse(double_divide(X0,double_divide(identity,multiply(inverse(X1),X2)))) = multiply(multiply(inverse(X2),multiply(X1,X0)),identity),
inference(superposition,[status(thm)],[c_1136,c_135]) ).
cnf(c_1157,plain,
double_divide(X0,double_divide(identity,multiply(inverse(X1),X2))) = double_divide(identity,multiply(inverse(X2),multiply(X1,X0))),
inference(superposition,[status(thm)],[c_1136,c_126]) ).
cnf(c_1163,plain,
double_divide(inverse(X0),multiply(X1,double_divide(identity,double_divide(identity,multiply(inverse(inverse(X2)),X0))))) = double_divide(X2,multiply(X1,identity)),
inference(superposition,[status(thm)],[c_1136,c_859]) ).
cnf(c_1168,plain,
multiply(multiply(inverse(X0),multiply(X1,X2)),identity) = multiply(double_divide(identity,multiply(inverse(X1),X0)),X2),
inference(demodulation,[status(thm)],[c_1154,c_77]) ).
cnf(c_1175,plain,
double_divide(inverse(X0),multiply(X1,double_divide(identity,multiply(inverse(X0),multiply(inverse(X2),identity))))) = double_divide(X2,multiply(X1,identity)),
inference(demodulation,[status(thm)],[c_1163,c_1157]) ).
cnf(c_1176,plain,
double_divide(inverse(X0),multiply(X1,double_divide(inverse(X2),multiply(inverse(X0),identity)))) = double_divide(X2,multiply(X1,identity)),
inference(demodulation,[status(thm)],[c_1175,c_886]) ).
cnf(c_1228,plain,
double_divide(identity,X0) = inverse(X0),
inference(demodulation,[status(thm)],[c_189,c_77,c_601,c_648,c_787,c_1049]) ).
cnf(c_1245,plain,
double_divide(identity,double_divide(X0,inverse(X1))) = double_divide(X1,inverse(X0)),
inference(demodulation,[status(thm)],[c_278,c_1228]) ).
cnf(c_1289,plain,
double_divide(identity,multiply(double_divide(X0,X1),inverse(inverse(X2)))) = double_divide(X2,inverse(multiply(X1,X0))),
inference(demodulation,[status(thm)],[c_607,c_1228]) ).
cnf(c_1290,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(demodulation,[status(thm)],[c_787,c_1228]) ).
cnf(c_1300,plain,
double_divide(double_divide(X0,inverse(inverse(X1))),inverse(inverse(X0))) = X1,
inference(demodulation,[status(thm)],[c_662,c_1228]) ).
cnf(c_1318,plain,
multiply(multiply(inverse(X0),multiply(X1,X2)),identity) = multiply(inverse(multiply(inverse(X1),X0)),X2),
inference(demodulation,[status(thm)],[c_1168,c_1228]) ).
cnf(c_1353,plain,
double_divide(identity,multiply(inverse(X0),multiply(X1,X2))) = double_divide(X2,inverse(multiply(inverse(X1),X0))),
inference(demodulation,[status(thm)],[c_1157,c_1228]) ).
cnf(c_1355,plain,
double_divide(X0,double_divide(identity,multiply(double_divide(X1,inverse(X2)),identity))) = double_divide(X0,inverse(multiply(inverse(X1),X2))),
inference(demodulation,[status(thm)],[c_610,c_1228]) ).
cnf(c_1367,plain,
inverse(inverse(multiply(X0,identity))) = X0,
inference(demodulation,[status(thm)],[c_551,c_1228]) ).
cnf(c_1384,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_1367,c_1049,c_1228]) ).
cnf(c_1386,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1290,c_1384]) ).
cnf(c_1400,plain,
double_divide(double_divide(X0,X1),X0) = X1,
inference(demodulation,[status(thm)],[c_1300,c_1384]) ).
cnf(c_1401,plain,
double_divide(X0,inverse(X1)) = multiply(inverse(X0),X1),
inference(demodulation,[status(thm)],[c_1245,c_77,c_1228]) ).
cnf(c_1464,plain,
double_divide(identity,multiply(inverse(X0),multiply(X1,X2))) = multiply(inverse(X2),multiply(inverse(X1),X0)),
inference(demodulation,[status(thm)],[c_1353,c_1401]) ).
cnf(c_1465,plain,
multiply(inverse(X0),multiply(inverse(X1),X2)) = double_divide(multiply(X1,X0),inverse(X2)),
inference(demodulation,[status(thm)],[c_1464,c_1049,c_1228]) ).
cnf(c_1468,plain,
multiply(inverse(multiply(inverse(X0),X1)),X2) = multiply(inverse(X1),multiply(X0,X2)),
inference(demodulation,[status(thm)],[c_1318,c_1386]) ).
cnf(c_1469,plain,
multiply(double_divide(X0,inverse(X1)),X2) = multiply(inverse(X0),multiply(X1,X2)),
inference(demodulation,[status(thm)],[c_1468,c_1049]) ).
cnf(c_1471,plain,
double_divide(identity,multiply(double_divide(X0,X1),X2)) = multiply(inverse(X2),multiply(X1,X0)),
inference(demodulation,[status(thm)],[c_1289,c_1384,c_1401]) ).
cnf(c_1472,plain,
multiply(inverse(X0),multiply(X1,X2)) = double_divide(X0,double_divide(X2,X1)),
inference(demodulation,[status(thm)],[c_1471,c_1049,c_1228]) ).
cnf(c_1493,plain,
double_divide(X0,double_divide(identity,double_divide(X1,double_divide(identity,X2)))) = multiply(inverse(multiply(X1,X0)),X2),
inference(demodulation,[status(thm)],[c_1355,c_1401,c_1465,c_1469,c_1472]) ).
cnf(c_1494,plain,
double_divide(X0,multiply(inverse(X1),X2)) = multiply(double_divide(X0,X2),X1),
inference(demodulation,[status(thm)],[c_1493,c_77,c_1049,c_1228]) ).
cnf(c_1918,plain,
double_divide(inverse(X0),multiply(X1,multiply(X2,X0))) = double_divide(X2,X1),
inference(demodulation,[status(thm)],[c_1176,c_51,c_1384,c_1386,c_1494]) ).
cnf(c_2000,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != a2 ),
inference(demodulation,[status(thm)],[c_344,c_1384]) ).
cnf(c_2001,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(equality_resolution_simp,[status(thm)],[c_2000]) ).
cnf(c_2066,plain,
double_divide(double_divide(X0,X1),inverse(X2)) = multiply(X1,multiply(X0,X2)),
inference(superposition,[status(thm)],[c_1918,c_1400]) ).
cnf(c_2079,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(demodulation,[status(thm)],[c_2066,c_77,c_1401]) ).
cnf(c_2997,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2001,c_2079]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP080-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 00:04:07 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.19/0.44 Running first-order theorem proving
% 0.19/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.18/1.15 % SZS status Started for theBenchmark.p
% 4.18/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 4.18/1.15
% 4.18/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.18/1.15
% 4.18/1.15 ------ iProver source info
% 4.18/1.15
% 4.18/1.15 git: date: 2024-05-02 19:28:25 +0000
% 4.18/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.18/1.15 git: non_committed_changes: false
% 4.18/1.15
% 4.18/1.15 ------ Parsing...successful
% 4.18/1.15
% 4.18/1.15
% 4.18/1.15
% 4.18/1.15 ------ Preprocessing... sup_sim: 0 pe_s pe_e
% 4.18/1.15
% 4.18/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 0 0s scvd_e snvd_s sp: 0 0s snvd_e
% 4.18/1.15
% 4.18/1.15 ------ Preprocessing...
% 4.18/1.15 ------ Proving...
% 4.18/1.15 ------ Problem Properties
% 4.18/1.15
% 4.18/1.15
% 4.18/1.15 clauses 5
% 4.18/1.15 conjectures 1
% 4.18/1.15 EPR 0
% 4.18/1.15 Horn 5
% 4.18/1.15 unary 4
% 4.18/1.15 binary 0
% 4.18/1.15 lits 7
% 4.18/1.15 lits eq 7
% 4.18/1.15 fd_pure 0
% 4.18/1.15 fd_pseudo 0
% 4.18/1.15 fd_cond 0
% 4.18/1.15 fd_pseudo_cond 0
% 4.18/1.15 AC symbols 0
% 4.18/1.15
% 4.18/1.15 ------ Input Options Time Limit: Unbounded
% 4.18/1.15
% 4.18/1.15
% 4.18/1.15 ------
% 4.18/1.15 Current options:
% 4.18/1.15 ------
% 4.18/1.15
% 4.18/1.15
% 4.18/1.15
% 4.18/1.15
% 4.18/1.15 ------ Proving...
% 4.18/1.15
% 4.18/1.15
% 4.18/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 4.18/1.15
% 4.18/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.18/1.15
% 4.18/1.15
%------------------------------------------------------------------------------