TSTP Solution File: GRP053-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP053-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 Aug 31 00:57:03 EDT 2023
% Result : Unsatisfiable 70.39s 10.29s
% Output : CNFRefutation 70.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 2
% Syntax : Number of clauses : 113 ( 111 unt; 0 nHn; 5 RR)
% Number of literals : 116 ( 115 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 356 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))))) = X2,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_104,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_133,plain,
inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0))))))) = X2,
inference(superposition,[status(thm)],[c_104,c_49]) ).
cnf(c_192,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_272,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(inverse(X2))))),inverse(multiply(inverse(X0),X0))))) = X2,
inference(superposition,[status(thm)],[c_192,c_49]) ).
cnf(c_561,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(X2))))),inverse(multiply(inverse(X1),X1))) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X2)),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[status(thm)],[c_272,c_49]) ).
cnf(c_605,plain,
multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(inverse(X1),X1)))))))) = X2,
inference(superposition,[status(thm)],[c_561,c_272]) ).
cnf(c_1337,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(X2))))),inverse(multiply(inverse(X1),X1))) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X2)),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[status(thm)],[c_272,c_49]) ).
cnf(c_1492,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(X2))))))),inverse(multiply(inverse(X1),X1))) = X2,
inference(superposition,[status(thm)],[c_1337,c_49]) ).
cnf(c_1521,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),inverse(multiply(inverse(X1),X1))) = multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),inverse(multiply(inverse(X1),X1))),
inference(superposition,[status(thm)],[c_133,c_1492]) ).
cnf(c_7527,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(X2))))),inverse(multiply(inverse(X1),X1))) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X2)),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[status(thm)],[c_272,c_49]) ).
cnf(c_7529,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X3)))),inverse(multiply(inverse(inverse(multiply(X1,X2))),inverse(multiply(X1,X2)))))) = multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(X2),X2)))))))),
inference(superposition,[status(thm)],[c_49,c_605]) ).
cnf(c_7678,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(X2))))))),inverse(multiply(inverse(X1),X1))) = X2,
inference(superposition,[status(thm)],[c_7527,c_49]) ).
cnf(c_8180,plain,
inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X1),X1)))))))))) = X2,
inference(superposition,[status(thm)],[c_7529,c_49]) ).
cnf(c_8923,plain,
inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(superposition,[status(thm)],[c_133,c_8180]) ).
cnf(c_9248,plain,
inverse(multiply(multiply(X0,X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,multiply(X0,X1))),multiply(X2,inverse(X3)))),inverse(multiply(inverse(multiply(X4,X1)),multiply(X4,X1))))))) = X3,
inference(superposition,[status(thm)],[c_8923,c_49]) ).
cnf(c_14884,plain,
inverse(multiply(multiply(X0,inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(multiply(inverse(multiply(X2,multiply(X0,inverse(multiply(inverse(X1),X1))))),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X4),X4)))))) = X3,
inference(superposition,[status(thm)],[c_7678,c_9248]) ).
cnf(c_15800,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(X2))))),inverse(multiply(inverse(X1),X1))) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X2)),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[status(thm)],[c_272,c_49]) ).
cnf(c_15951,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(X2))))))),inverse(multiply(inverse(X1),X1))) = X2,
inference(superposition,[status(thm)],[c_15800,c_49]) ).
cnf(c_15960,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,X2)))))),inverse(multiply(inverse(X1),X1)))) = X2,
inference(superposition,[status(thm)],[c_15800,c_133]) ).
cnf(c_16000,plain,
inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(X3))))))),X0)),X3)),inverse(multiply(inverse(X0),X0)))))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_15951,c_49]) ).
cnf(c_16170,plain,
inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))) = multiply(inverse(X0),X0),
inference(superposition,[status(thm)],[c_15951,c_16000]) ).
cnf(c_16272,plain,
inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X3),X3)))))) = X2,
inference(superposition,[status(thm)],[c_15951,c_14884]) ).
cnf(c_16814,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X1),X1))) = multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,inverse(X2)))),inverse(multiply(inverse(X4),X4))),
inference(superposition,[status(thm)],[c_16272,c_15951]) ).
cnf(c_17177,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),inverse(multiply(inverse(X1),X1))) = multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),inverse(multiply(inverse(X4),X4))),
inference(superposition,[status(thm)],[c_16272,c_16814]) ).
cnf(c_17341,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),inverse(multiply(inverse(X3),X3))) = multiply(inverse(multiply(inverse(multiply(X4,X1)),multiply(X4,X2))),inverse(multiply(inverse(X5),X5))),
inference(superposition,[status(thm)],[c_17177,c_17177]) ).
cnf(c_17508,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(inverse(X2))))),inverse(multiply(inverse(X3),X3))))) = X2,
inference(superposition,[status(thm)],[c_17341,c_272]) ).
cnf(c_17518,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,X2)))))),inverse(multiply(inverse(X3),X3)))) = X2,
inference(superposition,[status(thm)],[c_17341,c_15960]) ).
cnf(c_17910,plain,
inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(X3,X1)))))),inverse(X4)))),inverse(multiply(inverse(X5),X5)))))) = X4,
inference(superposition,[status(thm)],[c_17518,c_16272]) ).
cnf(c_17916,plain,
inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(X3,X1)))))),inverse(multiply(inverse(X4),X4))))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))) = multiply(inverse(X0),X0),
inference(superposition,[status(thm)],[c_17518,c_16170]) ).
cnf(c_17937,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(demodulation,[status(thm)],[c_17916,c_17910]) ).
cnf(c_17938,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_50,c_17937]) ).
cnf(c_18023,plain,
inverse(multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2)))))) = X0,
inference(superposition,[status(thm)],[c_17937,c_16272]) ).
cnf(c_18130,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,X2)))))),inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(X4),X4)))))) = X2,
inference(superposition,[status(thm)],[c_18023,c_17518]) ).
cnf(c_18138,plain,
inverse(multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X3),X3)))))))) = X0,
inference(superposition,[status(thm)],[c_18023,c_18023]) ).
cnf(c_18142,plain,
inverse(multiply(inverse(X0),multiply(inverse(X1),X1))) = X0,
inference(demodulation,[status(thm)],[c_18138,c_18023]) ).
cnf(c_18146,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,X2))))) = X2,
inference(demodulation,[status(thm)],[c_18130,c_18023]) ).
cnf(c_18191,plain,
inverse(multiply(inverse(X0),X0)) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_17937,c_18142]) ).
cnf(c_18369,plain,
inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),X1)))) = X0,
inference(superposition,[status(thm)],[c_18191,c_18142]) ).
cnf(c_18386,plain,
multiply(inverse(inverse(X0)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X2),X2))))) = X0,
inference(superposition,[status(thm)],[c_18191,c_17508]) ).
cnf(c_18396,plain,
multiply(inverse(inverse(X0)),inverse(multiply(inverse(X1),X1))) = X0,
inference(demodulation,[status(thm)],[c_18386,c_18369]) ).
cnf(c_18832,plain,
multiply(inverse(inverse(X0)),inverse(inverse(multiply(inverse(X1),X1)))) = X0,
inference(superposition,[status(thm)],[c_18191,c_18396]) ).
cnf(c_29306,plain,
multiply(inverse(multiply(inverse(inverse(X0)),inverse(X1))),X0) = X1,
inference(superposition,[status(thm)],[c_18832,c_18146]) ).
cnf(c_30164,plain,
multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[status(thm)],[c_18191,c_29306]) ).
cnf(c_30286,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(backward_subsumption_resolution,[status(thm)],[c_17938,c_30164]) ).
cnf(c_30632,plain,
multiply(inverse(multiply(multiply(inverse(X0),X0),X1)),inverse(inverse(multiply(X1,X2)))) = X2,
inference(superposition,[status(thm)],[c_30164,c_18146]) ).
cnf(c_30643,plain,
multiply(inverse(X0),inverse(inverse(multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_30632,c_30164]) ).
cnf(c_31487,plain,
inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[status(thm)],[c_30643,c_29306]) ).
cnf(c_33884,plain,
multiply(inverse(X0),multiply(inverse(X1),X2)) = inverse(multiply(multiply(inverse(X2),X1),X0)),
inference(superposition,[status(thm)],[c_31487,c_31487]) ).
cnf(c_33935,plain,
inverse(multiply(X0,multiply(multiply(inverse(X0),X0),multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))))) = X2,
inference(demodulation,[status(thm)],[c_49,c_31487]) ).
cnf(c_33954,plain,
multiply(inverse(X0),multiply(inverse(X1),multiply(X2,multiply(multiply(inverse(X2),X2),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(X4))))))) = inverse(multiply(multiply(X4,X1),X0)),
inference(superposition,[status(thm)],[c_33935,c_33884]) ).
cnf(c_33958,plain,
multiply(inverse(X0),multiply(X1,multiply(multiply(inverse(X1),X1),multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))))) = inverse(multiply(X3,X0)),
inference(superposition,[status(thm)],[c_33935,c_31487]) ).
cnf(c_33963,plain,
multiply(inverse(X0),inverse(multiply(X1,X2))) = inverse(multiply(multiply(X1,X2),X0)),
inference(demodulation,[status(thm)],[c_33954,c_33958]) ).
cnf(c_34071,plain,
multiply(X0,multiply(multiply(inverse(X0),X0),multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(inverse(X2)))))) = X2,
inference(demodulation,[status(thm)],[c_272,c_31487]) ).
cnf(c_34093,plain,
multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_34071,c_33963]) ).
cnf(c_34486,plain,
multiply(multiply(inverse(X0),X1),inverse(X2)) = inverse(multiply(X2,multiply(inverse(X1),X0))),
inference(superposition,[status(thm)],[c_31487,c_34093]) ).
cnf(c_34516,plain,
multiply(inverse(inverse(X0)),X1) = inverse(inverse(multiply(X0,X1))),
inference(superposition,[status(thm)],[c_34093,c_31487]) ).
cnf(c_34567,plain,
multiply(inverse(inverse(inverse(X0))),X1) = inverse(multiply(inverse(X1),X0)),
inference(superposition,[status(thm)],[c_31487,c_34516]) ).
cnf(c_34624,plain,
multiply(inverse(inverse(inverse(X0))),X1) = multiply(inverse(X0),X1),
inference(demodulation,[status(thm)],[c_34567,c_31487]) ).
cnf(c_34633,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_33935,c_34624]) ).
cnf(c_34661,plain,
inverse(inverse(multiply(X0,X1))) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_34516,c_34633]) ).
cnf(c_34673,plain,
inverse(multiply(X0,multiply(multiply(inverse(X0),X0),multiply(inverse(multiply(X1,X0)),multiply(inverse(inverse(X1)),inverse(X2)))))) = X2,
inference(superposition,[status(thm)],[c_34633,c_33935]) ).
cnf(c_34688,plain,
multiply(inverse(X0),multiply(inverse(X1),inverse(X2))) = inverse(multiply(multiply(X2,X1),X0)),
inference(superposition,[status(thm)],[c_34633,c_33884]) ).
cnf(c_34690,plain,
inverse(multiply(X0,inverse(X1))) = multiply(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_34633,c_34093]) ).
cnf(c_34702,plain,
inverse(multiply(X0,multiply(multiply(inverse(X0),X0),inverse(multiply(multiply(X1,inverse(X2)),multiply(X2,X0)))))) = X1,
inference(demodulation,[status(thm)],[c_34673,c_34688]) ).
cnf(c_34749,plain,
inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_34071,c_34661]) ).
cnf(c_34774,plain,
multiply(X0,multiply(multiply(inverse(X0),X0),multiply(inverse(multiply(X1,X0)),multiply(X1,X2)))) = X2,
inference(demodulation,[status(thm)],[c_34071,c_34749]) ).
cnf(c_34818,plain,
multiply(multiply(X0,inverse(X1)),inverse(X2)) = inverse(multiply(X2,multiply(X1,inverse(X0)))),
inference(superposition,[status(thm)],[c_34690,c_34690]) ).
cnf(c_35600,plain,
multiply(multiply(inverse(multiply(X0,X1)),multiply(X0,X2)),multiply(inverse(X2),X2)) = multiply(multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),multiply(inverse(X2),X2)),
inference(demodulation,[status(thm)],[c_1521,c_31487,c_33884,c_34093]) ).
cnf(c_35772,plain,
multiply(multiply(multiply(multiply(X0,inverse(X1)),multiply(X1,multiply(X2,multiply(inverse(X3),X3)))),multiply(inverse(X4),X4)),multiply(multiply(inverse(X3),X3),inverse(X2))) = X0,
inference(demodulation,[status(thm)],[c_14884,c_31487,c_33884,c_34093,c_34690]) ).
cnf(c_35889,plain,
multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X1),multiply(inverse(multiply(X0,X1)),X2)))) = X2,
inference(demodulation,[status(thm)],[c_605,c_31487,c_34749]) ).
cnf(c_35898,plain,
multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X1),inverse(multiply(X2,multiply(X0,X1)))))) = inverse(X2),
inference(superposition,[status(thm)],[c_34093,c_35889]) ).
cnf(c_35902,plain,
multiply(inverse(X0),multiply(X1,multiply(multiply(inverse(X1),X1),multiply(multiply(inverse(X1),X0),X2)))) = X2,
inference(superposition,[status(thm)],[c_31487,c_35889]) ).
cnf(c_37633,plain,
multiply(X0,multiply(multiply(inverse(X0),X0),multiply(multiply(inverse(X0),X1),multiply(inverse(X1),X2)))) = X2,
inference(superposition,[status(thm)],[c_31487,c_34774]) ).
cnf(c_37824,plain,
multiply(inverse(multiply(X0,multiply(multiply(inverse(X0),X0),multiply(multiply(inverse(X0),X1),X2)))),X1) = inverse(X2),
inference(superposition,[status(thm)],[c_35902,c_31487]) ).
cnf(c_37905,plain,
multiply(inverse(X0),multiply(X0,multiply(multiply(inverse(X0),X0),inverse(multiply(multiply(inverse(multiply(X1,X2)),multiply(X1,X0)),multiply(inverse(X0),X0)))))) = inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X0))),
inference(superposition,[status(thm)],[c_35600,c_35898]) ).
cnf(c_37979,plain,
inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(demodulation,[status(thm)],[c_37905,c_35898]) ).
cnf(c_38054,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(demodulation,[status(thm)],[c_37979,c_31487]) ).
cnf(c_38107,plain,
multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)) = multiply(multiply(X1,inverse(X3)),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_34690,c_38054]) ).
cnf(c_38388,plain,
multiply(inverse(X0),multiply(multiply(X0,inverse(X0)),multiply(multiply(X0,X1),multiply(inverse(X1),X2)))) = X2,
inference(superposition,[status(thm)],[c_34749,c_37633]) ).
cnf(c_38670,plain,
multiply(multiply(X0,inverse(X1)),multiply(X1,X2)) = multiply(multiply(X0,inverse(X3)),multiply(X3,X2)),
inference(light_normalisation,[status(thm)],[c_38107,c_34690]) ).
cnf(c_38712,plain,
multiply(multiply(X0,inverse(X1)),multiply(X1,X2)) = multiply(multiply(X0,X3),multiply(inverse(X3),X2)),
inference(superposition,[status(thm)],[c_34749,c_38670]) ).
cnf(c_42611,plain,
multiply(multiply(multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),multiply(inverse(X2),X2)),inverse(X2)) = X0,
inference(demodulation,[status(thm)],[c_34702,c_31487,c_34818]) ).
cnf(c_42678,plain,
multiply(multiply(multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X2))),multiply(X2,inverse(X2))),X2) = X0,
inference(superposition,[status(thm)],[c_34749,c_42611]) ).
cnf(c_44117,plain,
multiply(multiply(multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),multiply(inverse(X3),X3)),multiply(multiply(inverse(X4),X4),inverse(multiply(multiply(multiply(X2,inverse(X5)),multiply(X5,inverse(multiply(inverse(X4),X4)))),multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(X4),X4))))))) = X0,
inference(superposition,[status(thm)],[c_42678,c_35772]) ).
cnf(c_44121,plain,
multiply(multiply(inverse(X0),X1),inverse(multiply(multiply(multiply(X2,inverse(X3)),multiply(X3,inverse(multiply(inverse(X1),X0)))),multiply(multiply(inverse(X1),X0),inverse(multiply(inverse(X1),X0)))))) = inverse(X2),
inference(superposition,[status(thm)],[c_42678,c_34486]) ).
cnf(c_44138,plain,
multiply(multiply(multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),multiply(inverse(X3),X3)),inverse(X2)) = X0,
inference(demodulation,[status(thm)],[c_44117,c_44121]) ).
cnf(c_46271,plain,
multiply(multiply(multiply(multiply(X0,X1),multiply(inverse(X1),X2)),multiply(inverse(X3),X3)),inverse(X2)) = X0,
inference(superposition,[status(thm)],[c_34749,c_44138]) ).
cnf(c_46325,plain,
multiply(multiply(multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X2))),multiply(inverse(X3),X3)),X2) = X0,
inference(superposition,[status(thm)],[c_34749,c_44138]) ).
cnf(c_47151,plain,
multiply(inverse(multiply(X0,multiply(multiply(inverse(X0),X0),multiply(multiply(inverse(X0),inverse(X1)),multiply(X1,X2))))),inverse(X3)) = inverse(multiply(X3,X2)),
inference(superposition,[status(thm)],[c_38670,c_37824]) ).
cnf(c_47153,plain,
multiply(inverse(multiply(X0,multiply(multiply(inverse(X0),X0),multiply(multiply(inverse(X0),inverse(X1)),multiply(X1,X2))))),X3) = inverse(multiply(inverse(X3),X2)),
inference(superposition,[status(thm)],[c_38712,c_37824]) ).
cnf(c_47265,plain,
inverse(multiply(inverse(inverse(X0)),X1)) = inverse(multiply(X0,X1)),
inference(demodulation,[status(thm)],[c_47151,c_47153]) ).
cnf(c_53849,plain,
multiply(X0,inverse(multiply(X1,inverse(multiply(inverse(X2),X2))))) = multiply(X0,inverse(X1)),
inference(superposition,[status(thm)],[c_46325,c_46271]) ).
cnf(c_54707,plain,
multiply(X0,multiply(multiply(inverse(X1),X1),inverse(X2))) = multiply(X0,inverse(X2)),
inference(demodulation,[status(thm)],[c_53849,c_34690]) ).
cnf(c_54737,plain,
multiply(X0,multiply(multiply(inverse(X1),X1),X2)) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_34749,c_54707]) ).
cnf(c_54862,plain,
multiply(X0,multiply(inverse(multiply(X1,X0)),multiply(X1,X2))) = X2,
inference(demodulation,[status(thm)],[c_34774,c_54737]) ).
cnf(c_54901,plain,
multiply(X0,multiply(multiply(X1,inverse(X1)),X2)) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_34749,c_54737]) ).
cnf(c_54999,plain,
multiply(inverse(inverse(X0)),multiply(multiply(inverse(X0),inverse(inverse(X0))),multiply(inverse(X0),X1))) = X1,
inference(superposition,[status(thm)],[c_54737,c_38388]) ).
cnf(c_55011,plain,
multiply(inverse(inverse(X0)),multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_54999,c_54901]) ).
cnf(c_55993,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_55011,c_34749]) ).
cnf(c_56066,plain,
multiply(inverse(multiply(inverse(inverse(X0)),X1)),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_55993,c_31487]) ).
cnf(c_57074,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_56066,c_47265]) ).
cnf(c_59061,plain,
multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
inference(superposition,[status(thm)],[c_55993,c_54862]) ).
cnf(c_59102,plain,
inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = multiply(inverse(X2),X1),
inference(superposition,[status(thm)],[c_54862,c_57074]) ).
cnf(c_59112,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(X3,multiply(inverse(multiply(X1,X3)),X2)),
inference(superposition,[status(thm)],[c_54862,c_54862]) ).
cnf(c_59134,plain,
multiply(inverse(multiply(X0,multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))),multiply(X0,X4)) = multiply(inverse(X3),multiply(X2,X4)),
inference(superposition,[status(thm)],[c_54862,c_38054]) ).
cnf(c_59173,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(X1),X2),
inference(demodulation,[status(thm)],[c_59112,c_59061]) ).
cnf(c_59191,plain,
multiply(multiply(inverse(X0),X1),X2) = multiply(inverse(X0),multiply(X1,X2)),
inference(demodulation,[status(thm)],[c_59134,c_59173,c_59102]) ).
cnf(c_65854,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(global_subsumption_just,[status(thm)],[c_50,c_30286]) ).
cnf(c_65975,plain,
inverse(multiply(X0,multiply(inverse(X0),multiply(inverse(X1),multiply(X1,inverse(X2)))))) = X2,
inference(demodulation,[status(thm)],[c_49,c_31487,c_59061,c_59191]) ).
cnf(c_65999,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_65975,c_59191]) ).
cnf(c_66024,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_65854,c_65999]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP053-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 00:35:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 70.39/10.29 % SZS status Started for theBenchmark.p
% 70.39/10.29 % SZS status Unsatisfiable for theBenchmark.p
% 70.39/10.29
% 70.39/10.29 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 70.39/10.29
% 70.39/10.29 ------ iProver source info
% 70.39/10.29
% 70.39/10.29 git: date: 2023-05-31 18:12:56 +0000
% 70.39/10.29 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 70.39/10.29 git: non_committed_changes: false
% 70.39/10.29 git: last_make_outside_of_git: false
% 70.39/10.29
% 70.39/10.29 ------ Parsing...successful
% 70.39/10.29
% 70.39/10.29
% 70.39/10.29
% 70.39/10.29 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 70.39/10.29
% 70.39/10.29 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 70.39/10.29
% 70.39/10.29 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 70.39/10.29 ------ Proving...
% 70.39/10.29 ------ Problem Properties
% 70.39/10.29
% 70.39/10.29
% 70.39/10.29 clauses 2
% 70.39/10.29 conjectures 1
% 70.39/10.29 EPR 0
% 70.39/10.29 Horn 2
% 70.39/10.29 unary 1
% 70.39/10.29 binary 0
% 70.39/10.29 lits 4
% 70.39/10.29 lits eq 4
% 70.39/10.29 fd_pure 0
% 70.39/10.29 fd_pseudo 0
% 70.39/10.29 fd_cond 0
% 70.39/10.29 fd_pseudo_cond 0
% 70.39/10.29 AC symbols 0
% 70.39/10.29
% 70.39/10.29 ------ Input Options Time Limit: Unbounded
% 70.39/10.29
% 70.39/10.29
% 70.39/10.29 ------
% 70.39/10.29 Current options:
% 70.39/10.29 ------
% 70.39/10.29
% 70.39/10.29
% 70.39/10.29
% 70.39/10.29
% 70.39/10.29 ------ Proving...
% 70.39/10.29
% 70.39/10.29
% 70.39/10.29 % SZS status Unsatisfiable for theBenchmark.p
% 70.39/10.29
% 70.39/10.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 70.39/10.29
% 70.39/10.29
%------------------------------------------------------------------------------