TSTP Solution File: GRP055-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP055-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 02:20:24 EDT 2024
% Result : Unsatisfiable 46.00s 6.98s
% Output : CNFRefutation 46.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 2
% Syntax : Number of clauses : 154 ( 152 unt; 0 nHn; 9 RR)
% Number of literals : 158 ( 157 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 18 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 372 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
( multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_101,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4)),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_105,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2)) = sP0_iProver_def(X1),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_101]) ).
cnf(c_302,plain,
sP0_iProver_def(multiply(inverse(X0),inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))))) = multiply(inverse(multiply(X2,inverse(sP0_iProver_def(X1)))),multiply(X2,X0)),
inference(superposition,[status(thm)],[c_105,c_105]) ).
cnf(c_313,plain,
multiply(inverse(multiply(X0,inverse(sP0_iProver_def(X1)))),multiply(X0,X2)) = multiply(inverse(multiply(X3,inverse(sP0_iProver_def(X1)))),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_302,c_302]) ).
cnf(c_318,plain,
multiply(inverse(multiply(X0,inverse(sP0_iProver_def(X1)))),multiply(X0,X2)) = sP3_iProver_def(X1,X2),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_313]) ).
cnf(c_344,plain,
inverse(sP0_iProver_def(X0)) = X0,
inference(demodulation,[status(thm)],[c_49,c_105]) ).
cnf(c_352,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = sP3_iProver_def(X1,X2),
inference(superposition,[status(thm)],[c_344,c_318]) ).
cnf(c_368,plain,
multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),X3)),sP0_iProver_def(X1)) = sP3_iProver_def(X3,multiply(X0,X2)),
inference(superposition,[status(thm)],[c_105,c_352]) ).
cnf(c_652,plain,
sP3_iProver_def(multiply(X0,X1),multiply(X0,X1)) = multiply(inverse(sP0_iProver_def(X2)),sP0_iProver_def(X2)),
inference(superposition,[status(thm)],[c_105,c_368]) ).
cnf(c_683,plain,
sP3_iProver_def(multiply(X0,X1),multiply(X0,X1)) = multiply(X2,sP0_iProver_def(X2)),
inference(demodulation,[status(thm)],[c_652,c_344]) ).
cnf(c_874,plain,
multiply(X0,sP0_iProver_def(X0)) = multiply(X1,sP0_iProver_def(X1)),
inference(superposition,[status(thm)],[c_683,c_683]) ).
cnf(c_890,plain,
multiply(X0,sP0_iProver_def(X0)) = sP7_iProver_def,
inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_def])],[c_874]) ).
cnf(c_3022,plain,
sP0_iProver_def(multiply(inverse(X0),inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))))) = multiply(inverse(multiply(X2,inverse(sP0_iProver_def(X1)))),multiply(X2,X0)),
inference(superposition,[status(thm)],[c_105,c_105]) ).
cnf(c_3024,plain,
sP0_iProver_def(multiply(inverse(X0),inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))))) = multiply(inverse(multiply(X2,X1)),multiply(X2,X0)),
inference(demodulation,[status(thm)],[c_3022,c_344]) ).
cnf(c_3026,plain,
multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2)) = sP0_iProver_def(sP0_iProver_def(X1)),
inference(superposition,[status(thm)],[c_344,c_105]) ).
cnf(c_3031,plain,
multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(X2,inverse(multiply(X2,sP0_iProver_def(X2)))))))),multiply(X0,sP0_iProver_def(X2))) = sP0_iProver_def(sP0_iProver_def(X1)),
inference(superposition,[status(thm)],[c_344,c_3026]) ).
cnf(c_3033,plain,
multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),inverse(multiply(X3,multiply(inverse(multiply(X0,X2)),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2)))))))),sP0_iProver_def(X1)) = sP0_iProver_def(sP0_iProver_def(X3)),
inference(superposition,[status(thm)],[c_105,c_3026]) ).
cnf(c_3035,plain,
sP0_iProver_def(multiply(inverse(X0),inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))))) = multiply(inverse(multiply(X2,inverse(sP0_iProver_def(sP0_iProver_def(X1))))),multiply(X2,X0)),
inference(superposition,[status(thm)],[c_3026,c_105]) ).
cnf(c_3038,plain,
sP0_iProver_def(sP0_iProver_def(inverse(X0))) = sP0_iProver_def(X0),
inference(superposition,[status(thm)],[c_3026,c_105]) ).
cnf(c_3040,plain,
sP0_iProver_def(multiply(inverse(X0),inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))))) = multiply(inverse(multiply(X2,sP0_iProver_def(X1))),multiply(X2,X0)),
inference(demodulation,[status(thm)],[c_3035,c_344]) ).
cnf(c_3044,plain,
inverse(sP0_iProver_def(X0)) = sP0_iProver_def(inverse(X0)),
inference(superposition,[status(thm)],[c_3038,c_344]) ).
cnf(c_3045,plain,
sP0_iProver_def(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_3044,c_344]) ).
cnf(c_3052,plain,
multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(X2,inverse(multiply(X2,sP0_iProver_def(X2)))))))),inverse(multiply(X3,multiply(inverse(multiply(X0,sP0_iProver_def(X2))),inverse(multiply(inverse(multiply(X0,sP0_iProver_def(X2))),multiply(X0,sP0_iProver_def(X2))))))))),sP0_iProver_def(sP0_iProver_def(X1))) = sP0_iProver_def(sP0_iProver_def(X3)),
inference(superposition,[status(thm)],[c_3031,c_3026]) ).
cnf(c_3074,plain,
sP0_iProver_def(multiply(inverse(multiply(X0,X1)),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)))),inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)))))))))) = multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),inverse(multiply(inverse(X1),X1))))))),X2)),sP0_iProver_def(X3)),
inference(superposition,[status(thm)],[c_105,c_3024]) ).
cnf(c_3080,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_3024,c_3024]) ).
cnf(c_3091,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = sP8_iProver_def(X1,X2),
inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_def])],[c_3080]) ).
cnf(c_3109,plain,
multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),inverse(multiply(X3,multiply(inverse(multiply(X0,X2)),inverse(sP8_iProver_def(X2,X2))))))),sP0_iProver_def(X1)) = sP0_iProver_def(sP0_iProver_def(X3)),
inference(demodulation,[status(thm)],[c_3033,c_3091]) ).
cnf(c_3111,plain,
multiply(inverse(multiply(inverse(multiply(X0,inverse(sP0_iProver_def(sP0_iProver_def(X1))))),inverse(multiply(X2,multiply(inverse(multiply(X0,X3)),inverse(sP8_iProver_def(X3,X3))))))),sP0_iProver_def(multiply(inverse(X3),inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3)))))))))) = sP0_iProver_def(sP0_iProver_def(X2)),
inference(superposition,[status(thm)],[c_3026,c_3109]) ).
cnf(c_3117,plain,
multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),inverse(sP0_iProver_def(multiply(inverse(inverse(sP8_iProver_def(X2,X2))),inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(inverse(sP8_iProver_def(X2,X2))),inverse(sP8_iProver_def(X2,X2))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(sP8_iProver_def(X2,X2))),inverse(sP8_iProver_def(X2,X2))))),inverse(multiply(inverse(inverse(sP8_iProver_def(X2,X2))),inverse(sP8_iProver_def(X2,X2)))))))))))))),sP0_iProver_def(X1)) = sP0_iProver_def(sP0_iProver_def(inverse(multiply(inverse(multiply(X0,X2)),X3)))),
inference(superposition,[status(thm)],[c_3024,c_3109]) ).
cnf(c_3137,plain,
multiply(inverse(multiply(inverse(multiply(X0,sP0_iProver_def(X1))),inverse(multiply(X2,multiply(inverse(multiply(X0,X3)),inverse(sP8_iProver_def(X3,X3))))))),sP0_iProver_def(multiply(inverse(X3),inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3)))))))))) = sP0_iProver_def(sP0_iProver_def(X2)),
inference(demodulation,[status(thm)],[c_3111,c_344]) ).
cnf(c_3149,plain,
multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(inverse(inverse(sP8_iProver_def(X2,X2))),inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(inverse(sP8_iProver_def(X2,X2))),inverse(sP8_iProver_def(X2,X2))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(sP8_iProver_def(X2,X2))),inverse(sP8_iProver_def(X2,X2))))),inverse(multiply(inverse(inverse(sP8_iProver_def(X2,X2))),inverse(sP8_iProver_def(X2,X2)))))))))))),sP0_iProver_def(X1)) = sP0_iProver_def(multiply(inverse(multiply(X0,X2)),X3)),
inference(demodulation,[status(thm)],[c_3117,c_344,c_3038]) ).
cnf(c_3150,plain,
sP0_iProver_def(multiply(inverse(X0),inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))))) = sP8_iProver_def(sP0_iProver_def(X1),X0),
inference(demodulation,[status(thm)],[c_3040,c_3091]) ).
cnf(c_3154,plain,
sP8_iProver_def(sP0_iProver_def(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))))))),X0) = sP0_iProver_def(multiply(inverse(X0),inverse(sP0_iProver_def(sP0_iProver_def(X1))))),
inference(superposition,[status(thm)],[c_3026,c_3150]) ).
cnf(c_3160,plain,
sP0_iProver_def(multiply(X0,inverse(multiply(X1,multiply(inverse(inverse(multiply(X0,sP0_iProver_def(X0)))),inverse(multiply(inverse(inverse(multiply(X0,sP0_iProver_def(X0)))),inverse(multiply(X0,sP0_iProver_def(X0)))))))))) = sP8_iProver_def(sP0_iProver_def(X1),sP0_iProver_def(X0)),
inference(superposition,[status(thm)],[c_344,c_3150]) ).
cnf(c_3163,plain,
multiply(inverse(X0),inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))) = inverse(sP8_iProver_def(sP0_iProver_def(X1),X0)),
inference(superposition,[status(thm)],[c_3150,c_344]) ).
cnf(c_3165,plain,
sP8_iProver_def(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))))),X0) = sP0_iProver_def(multiply(inverse(X0),sP0_iProver_def(X1))),
inference(demodulation,[status(thm)],[c_3154,c_3045,c_344]) ).
cnf(c_3171,plain,
multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(X2,inverse(multiply(X2,sP0_iProver_def(X2)))))))),inverse(multiply(X3,multiply(inverse(multiply(X0,sP0_iProver_def(X2))),inverse(sP8_iProver_def(sP0_iProver_def(X2),sP0_iProver_def(X2)))))))),sP0_iProver_def(sP0_iProver_def(X1))) = sP0_iProver_def(sP0_iProver_def(X3)),
inference(demodulation,[status(thm)],[c_3052,c_3091]) ).
cnf(c_3203,plain,
multiply(inverse(sP0_iProver_def(sP0_iProver_def(X0))),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(X3,inverse(multiply(X3,sP0_iProver_def(X3)))))))),inverse(multiply(X0,multiply(inverse(multiply(X1,sP0_iProver_def(X3))),inverse(sP8_iProver_def(sP0_iProver_def(X3),sP0_iProver_def(X3)))))))),X4)) = sP0_iProver_def(multiply(inverse(X4),inverse(multiply(inverse(sP0_iProver_def(sP0_iProver_def(X2))),multiply(inverse(inverse(multiply(inverse(X4),X4))),inverse(multiply(inverse(inverse(multiply(inverse(X4),X4))),inverse(multiply(inverse(X4),X4))))))))),
inference(superposition,[status(thm)],[c_3171,c_3024]) ).
cnf(c_3214,plain,
multiply(sP0_iProver_def(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(X3,inverse(multiply(X3,sP0_iProver_def(X3)))))))),inverse(multiply(X0,multiply(inverse(multiply(X1,sP0_iProver_def(X3))),inverse(sP8_iProver_def(sP0_iProver_def(X3),sP0_iProver_def(X3)))))))),X4)) = sP8_iProver_def(sP0_iProver_def(sP0_iProver_def(X2)),X4),
inference(demodulation,[status(thm)],[c_3203,c_3045,c_344,c_3150]) ).
cnf(c_3220,plain,
multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),X3)),sP0_iProver_def(X1)) = sP8_iProver_def(X3,multiply(X0,X2)),
inference(demodulation,[status(thm)],[c_3074,c_3045,c_3150]) ).
cnf(c_3226,plain,
multiply(inverse(multiply(inverse(multiply(X0,inverse(sP0_iProver_def(X1)))),X2)),sP0_iProver_def(multiply(inverse(X3),inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3)))))))))) = sP8_iProver_def(X2,multiply(X0,X3)),
inference(superposition,[status(thm)],[c_105,c_3220]) ).
cnf(c_3227,plain,
multiply(inverse(multiply(inverse(multiply(X0,inverse(sP0_iProver_def(sP0_iProver_def(X1))))),X2)),sP0_iProver_def(multiply(inverse(X3),inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3)))))))))) = sP8_iProver_def(X2,multiply(X0,X3)),
inference(superposition,[status(thm)],[c_3026,c_3220]) ).
cnf(c_3228,plain,
multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),X3)),sP0_iProver_def(sP0_iProver_def(X1))) = sP8_iProver_def(X3,multiply(X0,X2)),
inference(superposition,[status(thm)],[c_344,c_3220]) ).
cnf(c_3249,plain,
multiply(inverse(multiply(inverse(multiply(X0,sP0_iProver_def(X1))),X2)),sP8_iProver_def(sP0_iProver_def(X1),X3)) = sP8_iProver_def(X2,multiply(X0,X3)),
inference(demodulation,[status(thm)],[c_3227,c_344,c_3150]) ).
cnf(c_3250,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),sP8_iProver_def(X1,X3)) = sP8_iProver_def(X2,multiply(X0,X3)),
inference(demodulation,[status(thm)],[c_3226,c_3045,c_344,c_3150]) ).
cnf(c_3306,plain,
multiply(inverse(sP0_iProver_def(sP0_iProver_def(X0))),multiply(inverse(multiply(X1,inverse(multiply(X0,multiply(X2,inverse(multiply(X2,sP0_iProver_def(X2)))))))),X3)) = sP8_iProver_def(multiply(X1,sP0_iProver_def(X2)),X3),
inference(superposition,[status(thm)],[c_3031,c_3091]) ).
cnf(c_3340,plain,
sP8_iProver_def(inverse(multiply(X0,multiply(inverse(X1),inverse(multiply(inverse(X1),X1))))),X1) = sP0_iProver_def(sP0_iProver_def(X0)),
inference(superposition,[status(thm)],[c_3091,c_3026]) ).
cnf(c_3346,plain,
multiply(inverse(sP8_iProver_def(X0,X1)),multiply(inverse(multiply(X2,X0)),X3)) = sP8_iProver_def(multiply(X2,X1),X3),
inference(superposition,[status(thm)],[c_3091,c_3091]) ).
cnf(c_3356,plain,
multiply(sP0_iProver_def(X0),multiply(inverse(multiply(X1,inverse(multiply(X0,multiply(X2,inverse(multiply(X2,sP0_iProver_def(X2)))))))),X3)) = sP8_iProver_def(multiply(X1,sP0_iProver_def(X2)),X3),
inference(demodulation,[status(thm)],[c_3306,c_344]) ).
cnf(c_3429,plain,
multiply(inverse(X0),X0) = sP7_iProver_def,
inference(superposition,[status(thm)],[c_3045,c_890]) ).
cnf(c_3433,plain,
multiply(inverse(multiply(X0,X1)),sP7_iProver_def) = sP8_iProver_def(X1,sP0_iProver_def(X0)),
inference(superposition,[status(thm)],[c_890,c_3091]) ).
cnf(c_3441,plain,
multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(X2,inverse(sP7_iProver_def)))))),multiply(X0,sP0_iProver_def(X2))) = sP0_iProver_def(sP0_iProver_def(X1)),
inference(superposition,[status(thm)],[c_890,c_3031]) ).
cnf(c_3445,plain,
multiply(inverse(sP7_iProver_def),multiply(X0,X1)) = sP8_iProver_def(sP0_iProver_def(X0),X1),
inference(superposition,[status(thm)],[c_890,c_3091]) ).
cnf(c_3449,plain,
sP8_iProver_def(inverse(multiply(X0,multiply(X1,inverse(sP7_iProver_def)))),sP0_iProver_def(X1)) = sP0_iProver_def(sP0_iProver_def(X0)),
inference(demodulation,[status(thm)],[c_3441,c_3091]) ).
cnf(c_3491,plain,
multiply(inverse(multiply(X0,inverse(sP7_iProver_def))),multiply(X0,sP0_iProver_def(X1))) = sP0_iProver_def(sP0_iProver_def(inverse(multiply(X1,inverse(multiply(X1,sP0_iProver_def(X1))))))),
inference(superposition,[status(thm)],[c_3429,c_3031]) ).
cnf(c_3493,plain,
multiply(inverse(multiply(inverse(sP7_iProver_def),inverse(multiply(X0,multiply(inverse(multiply(inverse(inverse(multiply(X1,multiply(X2,inverse(multiply(X2,sP0_iProver_def(X2))))))),sP0_iProver_def(X2))),inverse(sP8_iProver_def(sP0_iProver_def(X2),sP0_iProver_def(X2)))))))),sP0_iProver_def(sP0_iProver_def(X1))) = sP0_iProver_def(sP0_iProver_def(X0)),
inference(superposition,[status(thm)],[c_3429,c_3171]) ).
cnf(c_3495,plain,
sP8_iProver_def(sP0_iProver_def(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))),X0) = sP0_iProver_def(multiply(inverse(X0),inverse(sP7_iProver_def))),
inference(superposition,[status(thm)],[c_3429,c_3150]) ).
cnf(c_3498,plain,
sP8_iProver_def(X0,X0) = sP7_iProver_def,
inference(superposition,[status(thm)],[c_3429,c_3091]) ).
cnf(c_3508,plain,
sP0_iProver_def(multiply(X0,inverse(sP7_iProver_def))) = sP8_iProver_def(inverse(sP7_iProver_def),sP0_iProver_def(X0)),
inference(demodulation,[status(thm)],[c_3491,c_3038,c_890,c_3091]) ).
cnf(c_3523,plain,
sP0_iProver_def(multiply(inverse(X0),inverse(sP7_iProver_def))) = sP8_iProver_def(sP7_iProver_def,X0),
inference(demodulation,[status(thm)],[c_3495,c_3045,c_3429]) ).
cnf(c_3529,plain,
multiply(inverse(multiply(inverse(sP7_iProver_def),inverse(multiply(X0,multiply(inverse(multiply(inverse(inverse(multiply(X1,multiply(X2,inverse(sP7_iProver_def))))),sP0_iProver_def(X2))),inverse(sP8_iProver_def(sP0_iProver_def(X2),sP0_iProver_def(X2)))))))),sP0_iProver_def(sP0_iProver_def(X1))) = sP0_iProver_def(sP0_iProver_def(X0)),
inference(demodulation,[status(thm)],[c_3493,c_890]) ).
cnf(c_3536,plain,
sP8_iProver_def(sP7_iProver_def,inverse(sP7_iProver_def)) = sP0_iProver_def(sP7_iProver_def),
inference(superposition,[status(thm)],[c_3429,c_3523]) ).
cnf(c_3537,plain,
sP0_iProver_def(multiply(X0,inverse(sP7_iProver_def))) = sP8_iProver_def(sP7_iProver_def,sP0_iProver_def(X0)),
inference(superposition,[status(thm)],[c_344,c_3523]) ).
cnf(c_3547,plain,
multiply(inverse(X0),inverse(sP7_iProver_def)) = inverse(sP8_iProver_def(sP7_iProver_def,X0)),
inference(superposition,[status(thm)],[c_3523,c_344]) ).
cnf(c_3567,plain,
inverse(sP8_iProver_def(sP7_iProver_def,sP0_iProver_def(X0))) = multiply(X0,inverse(sP7_iProver_def)),
inference(superposition,[status(thm)],[c_3537,c_344]) ).
cnf(c_3576,plain,
sP8_iProver_def(inverse(multiply(X0,inverse(sP8_iProver_def(sP7_iProver_def,multiply(X1,X2))))),multiply(X1,X2)) = sP0_iProver_def(sP0_iProver_def(X0)),
inference(demodulation,[status(thm)],[c_3137,c_3150,c_3249,c_3498,c_3547]) ).
cnf(c_3577,plain,
sP0_iProver_def(sP0_iProver_def(inverse(inverse(sP8_iProver_def(sP7_iProver_def,multiply(X0,X1)))))) = sP8_iProver_def(inverse(sP7_iProver_def),multiply(X0,X1)),
inference(superposition,[status(thm)],[c_3429,c_3576]) ).
cnf(c_3607,plain,
sP8_iProver_def(inverse(sP7_iProver_def),multiply(X0,X1)) = sP8_iProver_def(sP7_iProver_def,multiply(X0,X1)),
inference(demodulation,[status(thm)],[c_3577,c_3045,c_3038]) ).
cnf(c_3774,plain,
sP8_iProver_def(inverse(sP8_iProver_def(X0,inverse(sP7_iProver_def))),multiply(X1,X2)) = sP0_iProver_def(multiply(inverse(multiply(X1,X2)),X0)),
inference(demodulation,[status(thm)],[c_3149,c_3045,c_3163,c_3220,c_3498]) ).
cnf(c_3776,plain,
sP0_iProver_def(multiply(inverse(multiply(X0,X1)),sP7_iProver_def)) = sP8_iProver_def(inverse(sP0_iProver_def(sP7_iProver_def)),multiply(X0,X1)),
inference(superposition,[status(thm)],[c_3536,c_3774]) ).
cnf(c_3794,plain,
sP0_iProver_def(sP8_iProver_def(X0,sP0_iProver_def(X1))) = sP8_iProver_def(sP7_iProver_def,multiply(X1,X0)),
inference(demodulation,[status(thm)],[c_3776,c_344,c_3433]) ).
cnf(c_3840,plain,
multiply(multiply(inverse(X0),inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))),inverse(sP7_iProver_def)) = inverse(sP8_iProver_def(sP7_iProver_def,multiply(inverse(multiply(X2,X1)),multiply(X2,X0)))),
inference(superposition,[status(thm)],[c_3024,c_3567]) ).
cnf(c_3869,plain,
sP8_iProver_def(multiply(X0,X1),multiply(X0,X2)) = inverse(sP8_iProver_def(sP7_iProver_def,sP8_iProver_def(X2,X1))),
inference(demodulation,[status(thm)],[c_3840,c_3045,c_344,c_3163,c_3547,c_3794]) ).
cnf(c_3879,plain,
sP8_iProver_def(multiply(X0,sP0_iProver_def(X1)),sP0_iProver_def(inverse(multiply(X0,inverse(multiply(X2,multiply(X1,inverse(multiply(X1,sP0_iProver_def(X1)))))))))) = multiply(inverse(sP0_iProver_def(sP0_iProver_def(X2))),sP7_iProver_def),
inference(superposition,[status(thm)],[c_3031,c_3433]) ).
cnf(c_3909,plain,
multiply(sP0_iProver_def(X0),inverse(sP7_iProver_def)) = multiply(sP0_iProver_def(X0),sP7_iProver_def),
inference(demodulation,[status(thm)],[c_3879,c_3045,c_344,c_890,c_3449,c_3567,c_3869]) ).
cnf(c_3933,plain,
sP0_iProver_def(multiply(X0,inverse(multiply(X1,sP7_iProver_def)))) = sP8_iProver_def(sP0_iProver_def(X1),sP0_iProver_def(X0)),
inference(demodulation,[status(thm)],[c_3160,c_344,c_890,c_3429,c_3536,c_3547]) ).
cnf(c_4029,plain,
multiply(inverse(X0),inverse(multiply(X1,sP7_iProver_def))) = inverse(sP8_iProver_def(sP0_iProver_def(X1),X0)),
inference(demodulation,[status(thm)],[c_3163,c_344,c_3429,c_3536,c_3547]) ).
cnf(c_4034,plain,
inverse(sP8_iProver_def(sP0_iProver_def(inverse(multiply(X0,X1))),X2)) = multiply(inverse(X2),inverse(sP8_iProver_def(X1,sP0_iProver_def(X0)))),
inference(superposition,[status(thm)],[c_3433,c_4029]) ).
cnf(c_4065,plain,
multiply(inverse(X0),inverse(sP8_iProver_def(X1,sP0_iProver_def(X2)))) = inverse(sP8_iProver_def(multiply(X2,X1),X0)),
inference(demodulation,[status(thm)],[c_4034,c_3045]) ).
cnf(c_4078,plain,
sP8_iProver_def(inverse(sP8_iProver_def(sP0_iProver_def(X0),inverse(sP7_iProver_def))),X1) = sP0_iProver_def(multiply(inverse(X1),sP0_iProver_def(X0))),
inference(demodulation,[status(thm)],[c_3165,c_3429,c_3163]) ).
cnf(c_4166,plain,
multiply(sP0_iProver_def(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(X3,inverse(sP7_iProver_def)))))),inverse(multiply(X0,sP8_iProver_def(sP0_iProver_def(X3),sP0_iProver_def(X1)))))),X4)) = sP8_iProver_def(sP0_iProver_def(sP0_iProver_def(X2)),X4),
inference(demodulation,[status(thm)],[c_3214,c_344,c_890,c_3794,c_4065]) ).
cnf(c_4270,plain,
multiply(X0,inverse(sP7_iProver_def)) = multiply(X0,sP7_iProver_def),
inference(superposition,[status(thm)],[c_3045,c_3909]) ).
cnf(c_4290,plain,
sP0_iProver_def(multiply(sP0_iProver_def(X0),sP7_iProver_def)) = sP8_iProver_def(sP7_iProver_def,sP0_iProver_def(sP0_iProver_def(X0))),
inference(superposition,[status(thm)],[c_3909,c_3537]) ).
cnf(c_4309,plain,
multiply(inverse(inverse(sP7_iProver_def)),sP7_iProver_def) = sP7_iProver_def,
inference(superposition,[status(thm)],[c_4270,c_3429]) ).
cnf(c_4322,plain,
sP0_iProver_def(multiply(X0,sP7_iProver_def)) = sP8_iProver_def(sP7_iProver_def,sP0_iProver_def(X0)),
inference(superposition,[status(thm)],[c_4270,c_3537]) ).
cnf(c_4323,plain,
inverse(sP8_iProver_def(sP7_iProver_def,X0)) = multiply(inverse(X0),sP7_iProver_def),
inference(superposition,[status(thm)],[c_4270,c_3547]) ).
cnf(c_4324,plain,
sP0_iProver_def(multiply(inverse(X0),sP7_iProver_def)) = sP8_iProver_def(sP7_iProver_def,X0),
inference(superposition,[status(thm)],[c_4270,c_3523]) ).
cnf(c_4338,plain,
sP8_iProver_def(sP7_iProver_def,sP0_iProver_def(inverse(inverse(sP7_iProver_def)))) = multiply(inverse(sP7_iProver_def),sP7_iProver_def),
inference(superposition,[status(thm)],[c_4309,c_3433]) ).
cnf(c_4346,plain,
sP0_iProver_def(sP7_iProver_def) = sP7_iProver_def,
inference(demodulation,[status(thm)],[c_4338,c_3429,c_3536,c_4322,c_4324]) ).
cnf(c_4366,plain,
multiply(sP7_iProver_def,sP7_iProver_def) = sP7_iProver_def,
inference(superposition,[status(thm)],[c_4346,c_890]) ).
cnf(c_4367,plain,
inverse(sP7_iProver_def) = sP7_iProver_def,
inference(superposition,[status(thm)],[c_4346,c_344]) ).
cnf(c_4536,plain,
multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(X2),sP7_iProver_def))))),X3)),sP0_iProver_def(sP0_iProver_def(X1))) = sP8_iProver_def(X3,multiply(X0,X2)),
inference(demodulation,[status(thm)],[c_3228,c_3429,c_4367]) ).
cnf(c_4710,plain,
sP8_iProver_def(multiply(X0,X1),multiply(X0,X2)) = multiply(inverse(sP7_iProver_def),sP8_iProver_def(X1,X2)),
inference(superposition,[status(thm)],[c_3429,c_3250]) ).
cnf(c_4796,plain,
sP8_iProver_def(multiply(X0,X1),multiply(X0,X2)) = multiply(sP7_iProver_def,sP8_iProver_def(X1,X2)),
inference(demodulation,[status(thm)],[c_4710,c_4367]) ).
cnf(c_5486,plain,
sP8_iProver_def(inverse(multiply(X0,multiply(inverse(X1),sP7_iProver_def))),X1) = sP0_iProver_def(sP0_iProver_def(X0)),
inference(demodulation,[status(thm)],[c_3340,c_3429,c_4367]) ).
cnf(c_5496,plain,
sP8_iProver_def(inverse(multiply(X0,multiply(X1,sP7_iProver_def))),sP0_iProver_def(X1)) = sP0_iProver_def(sP0_iProver_def(X0)),
inference(superposition,[status(thm)],[c_344,c_5486]) ).
cnf(c_5595,plain,
multiply(sP7_iProver_def,multiply(X0,X1)) = sP8_iProver_def(sP0_iProver_def(X0),X1),
inference(demodulation,[status(thm)],[c_3445,c_4367]) ).
cnf(c_5639,plain,
multiply(sP7_iProver_def,sP8_iProver_def(sP0_iProver_def(X0),X1)) = sP8_iProver_def(sP0_iProver_def(sP7_iProver_def),multiply(X0,X1)),
inference(superposition,[status(thm)],[c_5595,c_5595]) ).
cnf(c_5660,plain,
multiply(sP7_iProver_def,sP8_iProver_def(sP0_iProver_def(X0),X1)) = sP0_iProver_def(sP8_iProver_def(X1,sP0_iProver_def(X0))),
inference(demodulation,[status(thm)],[c_5639,c_4346,c_3794]) ).
cnf(c_5727,plain,
multiply(inverse(sP0_iProver_def(sP0_iProver_def(X0))),multiply(inverse(multiply(X1,inverse(multiply(X0,inverse(sP8_iProver_def(sP7_iProver_def,multiply(X2,X3))))))),X4)) = sP8_iProver_def(multiply(X1,multiply(X2,X3)),X4),
inference(superposition,[status(thm)],[c_3576,c_3346]) ).
cnf(c_5766,plain,
sP8_iProver_def(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),X3),X4) = multiply(inverse(sP8_iProver_def(multiply(X0,X2),X3)),multiply(inverse(sP0_iProver_def(sP0_iProver_def(X1))),X4)),
inference(superposition,[status(thm)],[c_3026,c_3346]) ).
cnf(c_5850,plain,
multiply(sP0_iProver_def(X0),multiply(inverse(multiply(X1,inverse(multiply(X0,sP8_iProver_def(X2,sP0_iProver_def(X3)))))),X4)) = sP8_iProver_def(multiply(X1,multiply(X3,X2)),X4),
inference(demodulation,[status(thm)],[c_5727,c_344,c_3433,c_4323]) ).
cnf(c_5857,plain,
sP8_iProver_def(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(X2),sP7_iProver_def))))),X3),X4) = multiply(inverse(sP8_iProver_def(multiply(X0,X2),X3)),multiply(sP0_iProver_def(X1),X4)),
inference(demodulation,[status(thm)],[c_5766,c_344,c_3429,c_4367]) ).
cnf(c_6039,plain,
multiply(sP0_iProver_def(X0),multiply(inverse(multiply(X1,inverse(multiply(X0,multiply(X2,sP7_iProver_def))))),X3)) = sP8_iProver_def(multiply(X1,sP0_iProver_def(X2)),X3),
inference(demodulation,[status(thm)],[c_3356,c_890,c_4367]) ).
cnf(c_6049,plain,
sP8_iProver_def(multiply(X0,sP0_iProver_def(X1)),multiply(X0,inverse(multiply(X2,multiply(X1,sP7_iProver_def))))) = multiply(sP0_iProver_def(X2),sP7_iProver_def),
inference(superposition,[status(thm)],[c_3429,c_6039]) ).
cnf(c_6109,plain,
multiply(sP0_iProver_def(X0),sP7_iProver_def) = sP0_iProver_def(sP0_iProver_def(sP0_iProver_def(X0))),
inference(demodulation,[status(thm)],[c_6049,c_4796,c_5496,c_5660]) ).
cnf(c_6383,plain,
multiply(X0,sP7_iProver_def) = sP0_iProver_def(sP0_iProver_def(X0)),
inference(superposition,[status(thm)],[c_3045,c_6109]) ).
cnf(c_6487,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(sP7_iProver_def),inverse(sP0_iProver_def(sP0_iProver_def(inverse(sP7_iProver_def))))))))),multiply(X0,sP7_iProver_def)) = sP0_iProver_def(X1),
inference(superposition,[status(thm)],[c_6383,c_105]) ).
cnf(c_6494,plain,
sP0_iProver_def(multiply(inverse(sP7_iProver_def),inverse(multiply(inverse(X0),multiply(inverse(inverse(sP0_iProver_def(sP0_iProver_def(inverse(sP7_iProver_def))))),inverse(multiply(inverse(inverse(sP0_iProver_def(sP0_iProver_def(inverse(sP7_iProver_def))))),inverse(sP0_iProver_def(sP0_iProver_def(inverse(sP7_iProver_def))))))))))) = multiply(inverse(multiply(X1,X0)),multiply(X1,sP7_iProver_def)),
inference(superposition,[status(thm)],[c_6383,c_3024]) ).
cnf(c_6512,plain,
sP0_iProver_def(sP0_iProver_def(inverse(multiply(X0,X1)))) = sP8_iProver_def(X1,sP0_iProver_def(X0)),
inference(superposition,[status(thm)],[c_6383,c_3433]) ).
cnf(c_6515,plain,
multiply(inverse(X0),inverse(sP0_iProver_def(sP0_iProver_def(X1)))) = inverse(sP8_iProver_def(sP0_iProver_def(X1),X0)),
inference(superposition,[status(thm)],[c_6383,c_4029]) ).
cnf(c_6523,plain,
sP8_iProver_def(inverse(multiply(X0,sP0_iProver_def(sP0_iProver_def(inverse(X1))))),X1) = sP0_iProver_def(sP0_iProver_def(X0)),
inference(superposition,[status(thm)],[c_6383,c_5486]) ).
cnf(c_6526,plain,
sP0_iProver_def(sP0_iProver_def(sP0_iProver_def(inverse(X0)))) = sP8_iProver_def(sP7_iProver_def,X0),
inference(superposition,[status(thm)],[c_6383,c_4324]) ).
cnf(c_6537,plain,
sP0_iProver_def(sP0_iProver_def(X0)) = sP8_iProver_def(sP7_iProver_def,X0),
inference(demodulation,[status(thm)],[c_6526,c_3038]) ).
cnf(c_6540,plain,
sP0_iProver_def(multiply(X0,X1)) = sP8_iProver_def(X1,sP0_iProver_def(X0)),
inference(demodulation,[status(thm)],[c_6512,c_3038]) ).
cnf(c_6543,plain,
sP8_iProver_def(inverse(multiply(X0,sP0_iProver_def(X1))),X1) = sP0_iProver_def(sP0_iProver_def(X0)),
inference(demodulation,[status(thm)],[c_6523,c_3038]) ).
cnf(c_6545,plain,
inverse(sP8_iProver_def(sP0_iProver_def(X0),X1)) = multiply(inverse(X1),sP0_iProver_def(X0)),
inference(demodulation,[status(thm)],[c_6515,c_344]) ).
cnf(c_6555,plain,
sP8_iProver_def(X0,sP7_iProver_def) = sP0_iProver_def(X0),
inference(demodulation,[status(thm)],[c_6487,c_3045,c_344,c_3038,c_4366,c_4367,c_3091,c_6383]) ).
cnf(c_6573,plain,
sP0_iProver_def(multiply(sP7_iProver_def,X0)) = sP8_iProver_def(X0,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_6494,c_3045,c_344,c_3038,c_3429,c_4366,c_4367,c_3091,c_6383]) ).
cnf(c_6742,plain,
sP0_iProver_def(multiply(sP7_iProver_def,X0)) = sP0_iProver_def(X0),
inference(demodulation,[status(thm)],[c_6573,c_6555]) ).
cnf(c_6778,plain,
inverse(sP0_iProver_def(X0)) = multiply(sP7_iProver_def,X0),
inference(superposition,[status(thm)],[c_6742,c_344]) ).
cnf(c_6783,plain,
multiply(sP7_iProver_def,X0) = X0,
inference(demodulation,[status(thm)],[c_6778,c_344]) ).
cnf(c_6835,plain,
sP8_iProver_def(sP0_iProver_def(sP7_iProver_def),X0) = X0,
inference(superposition,[status(thm)],[c_6783,c_5595]) ).
cnf(c_6839,plain,
multiply(inverse(X0),multiply(sP7_iProver_def,X1)) = sP8_iProver_def(X0,X1),
inference(superposition,[status(thm)],[c_6783,c_3091]) ).
cnf(c_6882,plain,
multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),sP7_iProver_def)))),X2)),sP0_iProver_def(sP0_iProver_def(sP7_iProver_def))) = sP8_iProver_def(X2,multiply(X0,X1)),
inference(superposition,[status(thm)],[c_6783,c_4536]) ).
cnf(c_6889,plain,
sP8_iProver_def(sP0_iProver_def(X0),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_6783,c_5595]) ).
cnf(c_6891,plain,
sP0_iProver_def(sP0_iProver_def(X0)) = X0,
inference(demodulation,[status(thm)],[c_6835,c_4346,c_6537]) ).
cnf(c_6892,plain,
multiply(inverse(X0),X1) = sP8_iProver_def(X0,X1),
inference(demodulation,[status(thm)],[c_6839,c_6783]) ).
cnf(c_6908,plain,
sP0_iProver_def(multiply(inverse(multiply(X0,X1)),X2)) = sP8_iProver_def(X2,multiply(X0,X1)),
inference(demodulation,[status(thm)],[c_6882,c_344,c_3038,c_4346,c_3433,c_6383,c_6540]) ).
cnf(c_6984,plain,
multiply(inverse(X0),inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))) = sP0_iProver_def(multiply(inverse(multiply(X2,X1)),multiply(X2,X0))),
inference(superposition,[status(thm)],[c_3024,c_6891]) ).
cnf(c_6994,plain,
multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(sP0_iProver_def(X1),multiply(inverse(X2),sP7_iProver_def))))),X3)),sP0_iProver_def(X1)) = sP8_iProver_def(X3,multiply(X0,X2)),
inference(superposition,[status(thm)],[c_6891,c_4536]) ).
cnf(c_7009,plain,
multiply(X0,sP7_iProver_def) = X0,
inference(superposition,[status(thm)],[c_6891,c_6109]) ).
cnf(c_7028,plain,
multiply(sP0_iProver_def(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(sP0_iProver_def(X3),inverse(sP7_iProver_def)))))),inverse(multiply(X0,sP8_iProver_def(X3,sP0_iProver_def(X1)))))),X4)) = sP8_iProver_def(sP0_iProver_def(sP0_iProver_def(X2)),X4),
inference(superposition,[status(thm)],[c_6891,c_4166]) ).
cnf(c_7031,plain,
inverse(X0) = sP0_iProver_def(X0),
inference(superposition,[status(thm)],[c_6891,c_3038]) ).
cnf(c_7042,plain,
sP0_iProver_def(sP8_iProver_def(multiply(X0,X1),X2)) = sP8_iProver_def(X2,multiply(X0,X1)),
inference(demodulation,[status(thm)],[c_6994,c_890,c_5857,c_6555,c_6891,c_6892]) ).
cnf(c_7050,plain,
multiply(sP0_iProver_def(X0),X1) = sP8_iProver_def(X0,X1),
inference(demodulation,[status(thm)],[c_7028,c_3091,c_3909,c_5850,c_6109,c_6543,c_6889,c_6891]) ).
cnf(c_7061,plain,
sP0_iProver_def(sP8_iProver_def(X0,X1)) = sP8_iProver_def(X1,X0),
inference(demodulation,[status(thm)],[c_6984,c_3163,c_4796,c_6540,c_6545,c_6783,c_6892,c_6908]) ).
cnf(c_7144,plain,
multiply(inverse(sP8_iProver_def(sP7_iProver_def,X0)),multiply(inverse(X1),X2)) = sP8_iProver_def(multiply(X1,X0),X2),
inference(superposition,[status(thm)],[c_7009,c_3346]) ).
cnf(c_7150,plain,
multiply(inverse(multiply(inverse(X0),X1)),sP8_iProver_def(sP7_iProver_def,X2)) = sP8_iProver_def(X1,multiply(X0,X2)),
inference(superposition,[status(thm)],[c_7009,c_3250]) ).
cnf(c_7153,plain,
multiply(inverse(X0),multiply(X0,X1)) = sP8_iProver_def(sP7_iProver_def,X1),
inference(superposition,[status(thm)],[c_7009,c_3091]) ).
cnf(c_7186,plain,
sP8_iProver_def(X0,multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_7153,c_6537,c_6891,c_6892]) ).
cnf(c_7190,plain,
sP8_iProver_def(sP8_iProver_def(X0,X1),X2) = sP8_iProver_def(X1,multiply(X0,X2)),
inference(demodulation,[status(thm)],[c_7150,c_6537,c_6891,c_6892]) ).
cnf(c_7191,plain,
sP8_iProver_def(multiply(X0,X1),X2) = sP8_iProver_def(X1,sP8_iProver_def(X0,X2)),
inference(demodulation,[status(thm)],[c_7144,c_6537,c_6891,c_6892]) ).
cnf(c_7609,plain,
sP0_iProver_def(multiply(inverse(multiply(inverse(sP8_iProver_def(sP0_iProver_def(X0),inverse(sP7_iProver_def))),X1)),sP0_iProver_def(X0))) = X1,
inference(superposition,[status(thm)],[c_7186,c_4078]) ).
cnf(c_7612,plain,
multiply(X0,sP8_iProver_def(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_7609,c_3607,c_3794,c_6889,c_6892,c_6908,c_7050,c_7061,c_7190]) ).
cnf(c_7758,plain,
multiply(multiply(X0,multiply(X1,sP0_iProver_def(multiply(X2,X1)))),X2) = X0,
inference(demodulation,[status(thm)],[c_3529,c_3045,c_890,c_3508,c_3537,c_4065,c_4270,c_4290,c_6109,c_6540,c_6555,c_6889,c_6891,c_6892,c_7031,c_7009,c_7042,c_7191]) ).
cnf(c_7877,plain,
sP8_iProver_def(sP0_iProver_def(X0),sP0_iProver_def(multiply(X1,multiply(X2,sP0_iProver_def(multiply(inverse(multiply(X0,sP7_iProver_def)),X2)))))) = sP0_iProver_def(X1),
inference(superposition,[status(thm)],[c_7758,c_3933]) ).
cnf(c_7901,plain,
multiply(X0,sP0_iProver_def(multiply(X1,X0))) = sP0_iProver_def(X1),
inference(demodulation,[status(thm)],[c_7877,c_6889,c_6908,c_7009,c_7612]) ).
cnf(c_8302,plain,
multiply(inverse(sP0_iProver_def(X0)),multiply(X1,X2)) = sP8_iProver_def(sP0_iProver_def(multiply(X0,X1)),X2),
inference(superposition,[status(thm)],[c_7901,c_3091]) ).
cnf(c_8319,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(demodulation,[status(thm)],[c_8302,c_6889,c_6892]) ).
cnf(c_21799,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| a2 != a2
| sP7_iProver_def != sP7_iProver_def ),
inference(demodulation,[status(thm)],[c_50,c_3429,c_6892,c_7186,c_8319]) ).
cnf(c_21800,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_21799]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : GRP055-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.07 % Command : run_iprover %s %d THM
% 0.06/0.25 % Computer : n020.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Thu May 2 23:57:01 EDT 2024
% 0.06/0.26 % CPUTime :
% 0.10/0.32 Running first-order theorem proving
% 0.10/0.32 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
% 46.00/6.98 % SZS status Started for theBenchmark.p
% 46.00/6.98 % SZS status Unsatisfiable for theBenchmark.p
% 46.00/6.98
% 46.00/6.98 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 46.00/6.98
% 46.00/6.98 ------ iProver source info
% 46.00/6.98
% 46.00/6.98 git: date: 2024-05-02 19:28:25 +0000
% 46.00/6.98 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 46.00/6.98 git: non_committed_changes: false
% 46.00/6.98
% 46.00/6.98 ------ Parsing...successful
% 46.00/6.98
% 46.00/6.98
% 46.00/6.98
% 46.00/6.98 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 46.00/6.98
% 46.00/6.98 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 46.00/6.98
% 46.00/6.98 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 46.00/6.98 ------ Proving...
% 46.00/6.98 ------ Problem Properties
% 46.00/6.98
% 46.00/6.98
% 46.00/6.98 clauses 2
% 46.00/6.98 conjectures 1
% 46.00/6.98 EPR 0
% 46.00/6.98 Horn 2
% 46.00/6.98 unary 1
% 46.00/6.98 binary 0
% 46.00/6.98 lits 4
% 46.00/6.98 lits eq 4
% 46.00/6.98 fd_pure 0
% 46.00/6.98 fd_pseudo 0
% 46.00/6.98 fd_cond 0
% 46.00/6.98 fd_pseudo_cond 0
% 46.00/6.98 AC symbols 0
% 46.00/6.98
% 46.00/6.98 ------ Input Options Time Limit: Unbounded
% 46.00/6.98
% 46.00/6.98
% 46.00/6.98 ------
% 46.00/6.98 Current options:
% 46.00/6.98 ------
% 46.00/6.98
% 46.00/6.98
% 46.00/6.98
% 46.00/6.98
% 46.00/6.98 ------ Proving...
% 46.00/6.98
% 46.00/6.98
% 46.00/6.98 % SZS status Unsatisfiable for theBenchmark.p
% 46.00/6.98
% 46.00/6.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 46.00/6.98
% 46.00/6.98
%------------------------------------------------------------------------------