TSTP Solution File: GRP120-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP120-1 : TPTP v8.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 : Mon Jun 24 06:57:59 EDT 2024
% Result : Unsatisfiable 8.25s 1.63s
% Output : CNFRefutation 8.25s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2)))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
multiply(identity,identity) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom2) ).
cnf(c_51,negated_conjecture,
multiply(identity,a) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_order3) ).
cnf(c_62,plain,
multiply(identity,a) = sP0_iProver_def,
definition ).
cnf(c_63,negated_conjecture,
sP0_iProver_def != a,
inference(demodulation,[status(thm)],[c_51,c_62]) ).
cnf(c_594,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),identity)) = X1,
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_596,plain,
multiply(X0,multiply(multiply(X0,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2)))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,X2))),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_602,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity)) = X0,
inference(superposition,[status(thm)],[c_50,c_594]) ).
cnf(c_606,plain,
multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity))) = multiply(X0,multiply(multiply(X0,X1),identity)),
inference(superposition,[status(thm)],[c_594,c_594]) ).
cnf(c_611,plain,
multiply(identity,multiply(multiply(identity,X0),identity)) = multiply(identity,multiply(identity,multiply(X0,identity))),
inference(superposition,[status(thm)],[c_602,c_602]) ).
cnf(c_613,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity))) = X0,
inference(demodulation,[status(thm)],[c_602,c_611]) ).
cnf(c_614,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))) = X0,
inference(demodulation,[status(thm)],[c_613,c_611]) ).
cnf(c_628,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity)) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity))),
inference(superposition,[status(thm)],[c_611,c_611]) ).
cnf(c_633,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(demodulation,[status(thm)],[c_628,c_611]) ).
cnf(c_634,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity))) = X0,
inference(demodulation,[status(thm)],[c_633,c_614]) ).
cnf(c_652,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity),identity))) = multiply(multiply(identity,X0),identity),
inference(superposition,[status(thm)],[c_611,c_634]) ).
cnf(c_657,plain,
multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity)) = multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),
inference(superposition,[status(thm)],[c_634,c_634]) ).
cnf(c_660,plain,
multiply(multiply(identity,X0),identity) = multiply(identity,multiply(X0,identity)),
inference(demodulation,[status(thm)],[c_652,c_634]) ).
cnf(c_676,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(identity,multiply(X1,identity)))),identity)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_660,c_594]) ).
cnf(c_709,plain,
multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity)) = multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),
inference(light_normalisation,[status(thm)],[c_657,c_660]) ).
cnf(c_727,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity)) = multiply(identity,multiply(identity,multiply(multiply(identity,identity),multiply(X1,identity)))),
inference(superposition,[status(thm)],[c_594,c_676]) ).
cnf(c_742,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity)) = multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))),
inference(demodulation,[status(thm)],[c_727,c_50]) ).
cnf(c_839,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),identity)),multiply(identity,multiply(identity,identity)))) = X1,
inference(superposition,[status(thm)],[c_606,c_49]) ).
cnf(c_842,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity)) = X1,
inference(demodulation,[status(thm)],[c_839,c_50]) ).
cnf(c_885,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))),identity)),identity)) = multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity),
inference(superposition,[status(thm)],[c_742,c_842]) ).
cnf(c_895,plain,
multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity) = multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity)),
inference(demodulation,[status(thm)],[c_885,c_614,c_660,c_709]) ).
cnf(c_902,plain,
multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))),
inference(demodulation,[status(thm)],[c_742,c_895]) ).
cnf(c_997,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity))),identity)) = multiply(multiply(X0,multiply(X0,multiply(multiply(X0,X1),identity))),identity),
inference(superposition,[status(thm)],[c_606,c_895]) ).
cnf(c_4053,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,X2))),identity)),identity)) = multiply(multiply(X0,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))),
inference(superposition,[status(thm)],[c_596,c_842]) ).
cnf(c_4097,plain,
multiply(multiply(X0,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))) = multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,X2),identity))))),identity),
inference(demodulation,[status(thm)],[c_4053,c_895,c_902,c_997]) ).
cnf(c_4855,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity)) = identity,
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_4856,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),sP0_iProver_def)),multiply(a,multiply(a,a)))) = identity,
inference(superposition,[status(thm)],[c_62,c_49]) ).
cnf(c_4857,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),identity)) = X1,
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_4862,plain,
multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),identity)) = multiply(X0,multiply(multiply(X0,identity),multiply(identity,multiply(identity,identity)))),
inference(superposition,[status(thm)],[c_4855,c_49]) ).
cnf(c_4863,plain,
multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),identity)) = multiply(X0,multiply(multiply(X0,identity),identity)),
inference(demodulation,[status(thm)],[c_4862,c_50]) ).
cnf(c_4866,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity)) = X0,
inference(superposition,[status(thm)],[c_50,c_4857]) ).
cnf(c_4870,plain,
multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity))) = multiply(X0,multiply(multiply(X0,X1),identity)),
inference(superposition,[status(thm)],[c_4857,c_4857]) ).
cnf(c_4875,plain,
multiply(identity,multiply(multiply(identity,X0),identity)) = multiply(identity,multiply(identity,multiply(X0,identity))),
inference(superposition,[status(thm)],[c_4866,c_4866]) ).
cnf(c_4877,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity))) = X0,
inference(demodulation,[status(thm)],[c_4866,c_4875]) ).
cnf(c_4878,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))) = X0,
inference(demodulation,[status(thm)],[c_4877,c_4875]) ).
cnf(c_4883,plain,
multiply(identity,multiply(identity,multiply(a,identity))) = multiply(identity,multiply(sP0_iProver_def,identity)),
inference(superposition,[status(thm)],[c_62,c_4875]) ).
cnf(c_4892,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity)) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity))),
inference(superposition,[status(thm)],[c_4875,c_4875]) ).
cnf(c_4897,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(demodulation,[status(thm)],[c_4892,c_4875]) ).
cnf(c_4898,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity))) = X0,
inference(demodulation,[status(thm)],[c_4897,c_4878]) ).
cnf(c_4903,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(a,identity)),identity))) = multiply(identity,multiply(multiply(identity,multiply(sP0_iProver_def,identity)),identity)),
inference(superposition,[status(thm)],[c_4883,c_4875]) ).
cnf(c_4904,plain,
multiply(identity,multiply(identity,multiply(multiply(sP0_iProver_def,identity),identity))) = a,
inference(demodulation,[status(thm)],[c_4903,c_4875,c_4878]) ).
cnf(c_4906,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(sP0_iProver_def,identity),identity)),identity))) = multiply(identity,multiply(a,identity)),
inference(superposition,[status(thm)],[c_4904,c_4875]) ).
cnf(c_4908,plain,
multiply(identity,multiply(a,identity)) = multiply(sP0_iProver_def,identity),
inference(demodulation,[status(thm)],[c_4906,c_4875,c_4878]) ).
cnf(c_4912,plain,
multiply(multiply(identity,multiply(multiply(identity,identity),multiply(X0,X1))),multiply(X1,multiply(X1,X1))) = multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),
inference(superposition,[status(thm)],[c_49,c_4898]) ).
cnf(c_4916,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity),identity))) = multiply(multiply(identity,X0),identity),
inference(superposition,[status(thm)],[c_4875,c_4898]) ).
cnf(c_4921,plain,
multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity)) = multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),
inference(superposition,[status(thm)],[c_4898,c_4898]) ).
cnf(c_4924,plain,
multiply(multiply(identity,X0),identity) = multiply(identity,multiply(X0,identity)),
inference(demodulation,[status(thm)],[c_4916,c_4898]) ).
cnf(c_4926,plain,
multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))) = multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),
inference(demodulation,[status(thm)],[c_4912,c_50]) ).
cnf(c_4940,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(identity,multiply(X1,identity)))),identity)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_4924,c_4857]) ).
cnf(c_4961,plain,
multiply(X0,multiply(multiply(X0,identity),multiply(multiply(a,multiply(a,a)),multiply(multiply(a,multiply(a,a)),multiply(a,multiply(a,a)))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),sP0_iProver_def)),
inference(superposition,[status(thm)],[c_4856,c_49]) ).
cnf(c_4962,plain,
multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(identity,identity),sP0_iProver_def)),multiply(a,multiply(a,a))),identity)) = multiply(identity,identity),
inference(superposition,[status(thm)],[c_4856,c_4924]) ).
cnf(c_4963,plain,
multiply(identity,multiply(multiply(multiply(identity,multiply(identity,sP0_iProver_def)),multiply(a,multiply(a,a))),identity)) = identity,
inference(demodulation,[status(thm)],[c_4962,c_50]) ).
cnf(c_4964,plain,
multiply(X0,multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(sP0_iProver_def,identity))))),identity)) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),sP0_iProver_def)),
inference(demodulation,[status(thm)],[c_4961,c_4908,c_4924,c_4097]) ).
cnf(c_4972,plain,
multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(identity,sP0_iProver_def)),multiply(a,multiply(a,a))),identity),identity)) = multiply(identity,identity),
inference(superposition,[status(thm)],[c_4963,c_4924]) ).
cnf(c_4973,plain,
multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(identity,sP0_iProver_def)),multiply(a,multiply(a,a))),identity),identity)) = identity,
inference(demodulation,[status(thm)],[c_4972,c_50]) ).
cnf(c_4974,plain,
multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity)) = multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),
inference(light_normalisation,[status(thm)],[c_4921,c_4924]) ).
cnf(c_4992,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity)) = multiply(identity,multiply(identity,multiply(multiply(identity,identity),multiply(X1,identity)))),
inference(superposition,[status(thm)],[c_4857,c_4940]) ).
cnf(c_5007,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity)) = multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))),
inference(demodulation,[status(thm)],[c_4992,c_50]) ).
cnf(c_5023,plain,
multiply(multiply(identity,multiply(identity,sP0_iProver_def)),multiply(a,multiply(a,a))) = multiply(identity,multiply(identity,identity)),
inference(superposition,[status(thm)],[c_4973,c_4878]) ).
cnf(c_5024,plain,
multiply(multiply(identity,multiply(identity,sP0_iProver_def)),multiply(a,multiply(a,a))) = identity,
inference(demodulation,[status(thm)],[c_5023,c_50]) ).
cnf(c_5087,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),identity)),multiply(identity,multiply(identity,identity)))) = X1,
inference(superposition,[status(thm)],[c_4870,c_49]) ).
cnf(c_5090,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity)) = X1,
inference(demodulation,[status(thm)],[c_5087,c_50]) ).
cnf(c_5100,plain,
multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2))) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity)),
inference(superposition,[status(thm)],[c_49,c_5090]) ).
cnf(c_5102,plain,
multiply(multiply(X0,multiply(multiply(X0,X0),sP0_iProver_def)),multiply(a,multiply(a,a))) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,identity)),identity)),
inference(superposition,[status(thm)],[c_4856,c_5090]) ).
cnf(c_5114,plain,
multiply(multiply(multiply(identity,multiply(identity,sP0_iProver_def)),multiply(identity,multiply(identity,sP0_iProver_def))),multiply(multiply(multiply(identity,multiply(identity,sP0_iProver_def)),multiply(identity,identity)),identity)) = multiply(a,multiply(a,a)),
inference(superposition,[status(thm)],[c_5024,c_5090]) ).
cnf(c_5116,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))),identity)),identity)) = multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity),
inference(superposition,[status(thm)],[c_5007,c_5090]) ).
cnf(c_5121,plain,
multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(multiply(X0,X0),multiply(X1,identity)),identity)) = multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity),
inference(superposition,[status(thm)],[c_5090,c_5090]) ).
cnf(c_5124,plain,
multiply(multiply(X0,multiply(multiply(X0,X0),sP0_iProver_def)),multiply(a,multiply(a,a))) = multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),
inference(demodulation,[status(thm)],[c_5102,c_50]) ).
cnf(c_5126,plain,
multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity) = multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity)),
inference(demodulation,[status(thm)],[c_5116,c_4878,c_4924,c_4974]) ).
cnf(c_5128,plain,
multiply(multiply(multiply(identity,multiply(identity,sP0_iProver_def)),multiply(identity,multiply(identity,sP0_iProver_def))),a) = multiply(a,multiply(a,a)),
inference(demodulation,[status(thm)],[c_5114,c_50,c_4904,c_4924,c_4974]) ).
cnf(c_5132,plain,
multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))) = identity,
inference(demodulation,[status(thm)],[c_4856,c_5124]) ).
cnf(c_5133,plain,
multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))),
inference(demodulation,[status(thm)],[c_5007,c_5126]) ).
cnf(c_5136,plain,
multiply(multiply(identity,X0),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(identity,multiply(X0,identity)),identity))) = identity,
inference(superposition,[status(thm)],[c_4924,c_5132]) ).
cnf(c_5140,plain,
multiply(multiply(identity,X0),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(identity,multiply(multiply(X0,identity),identity)))) = identity,
inference(demodulation,[status(thm)],[c_5136,c_4924]) ).
cnf(c_5157,plain,
multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(multiply(X0,X0),identity),identity)) = multiply(multiply(X0,multiply(multiply(X0,identity),identity)),identity),
inference(superposition,[status(thm)],[c_4863,c_5126]) ).
cnf(c_5175,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity)),identity)))) = multiply(X0,multiply(multiply(X0,X0),X1)),
inference(superposition,[status(thm)],[c_5126,c_4878]) ).
cnf(c_5179,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))) = X0,
inference(superposition,[status(thm)],[c_5126,c_5090]) ).
cnf(c_5191,plain,
multiply(multiply(multiply(identity,multiply(identity,sP0_iProver_def)),multiply(identity,multiply(identity,sP0_iProver_def))),multiply(multiply(multiply(identity,multiply(identity,sP0_iProver_def)),a),identity)) = multiply(multiply(multiply(identity,multiply(identity,sP0_iProver_def)),multiply(a,multiply(a,a))),identity),
inference(superposition,[status(thm)],[c_5128,c_5126]) ).
cnf(c_5192,plain,
multiply(multiply(multiply(identity,multiply(identity,sP0_iProver_def)),multiply(identity,multiply(identity,sP0_iProver_def))),multiply(multiply(multiply(identity,multiply(identity,sP0_iProver_def)),a),identity)) = identity,
inference(demodulation,[status(thm)],[c_5191,c_50,c_5024]) ).
cnf(c_5289,plain,
multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))) = multiply(identity,multiply(identity,multiply(multiply(identity,identity),identity))),
inference(superposition,[status(thm)],[c_4878,c_4926]) ).
cnf(c_5332,plain,
multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))) = identity,
inference(demodulation,[status(thm)],[c_5289,c_50,c_4924]) ).
cnf(c_5364,plain,
multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity))) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,identity)),identity)),
inference(superposition,[status(thm)],[c_5332,c_5090]) ).
cnf(c_5369,plain,
multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity))) = multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),
inference(demodulation,[status(thm)],[c_5364,c_50]) ).
cnf(c_5672,plain,
multiply(identity,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))) = multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(multiply(identity,X0),multiply(identity,identity)),identity)),
inference(superposition,[status(thm)],[c_5140,c_5100]) ).
cnf(c_5730,plain,
multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(identity,multiply(multiply(X0,identity),identity))) = multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))),
inference(demodulation,[status(thm)],[c_5672,c_50,c_4924,c_5369]) ).
cnf(c_5757,plain,
multiply(multiply(identity,X0),multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))) = identity,
inference(demodulation,[status(thm)],[c_5140,c_5730]) ).
cnf(c_5776,plain,
multiply(multiply(identity,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,multiply(multiply(X0,identity),identity)),identity))) = identity,
inference(superposition,[status(thm)],[c_5157,c_5757]) ).
cnf(c_5784,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))),identity)))) = multiply(multiply(identity,X0),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(identity,identity))),
inference(superposition,[status(thm)],[c_5757,c_5133]) ).
cnf(c_5789,plain,
multiply(multiply(identity,X0),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),identity)) = multiply(identity,multiply(X0,multiply(multiply(X0,X0),identity))),
inference(demodulation,[status(thm)],[c_5784,c_50,c_4924,c_5175]) ).
cnf(c_5940,plain,
multiply(identity,multiply(a,multiply(multiply(a,a),identity))) = multiply(sP0_iProver_def,multiply(multiply(sP0_iProver_def,sP0_iProver_def),identity)),
inference(superposition,[status(thm)],[c_62,c_5789]) ).
cnf(c_5990,plain,
multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(sP0_iProver_def,multiply(multiply(sP0_iProver_def,sP0_iProver_def),identity)),identity)),identity)) = multiply(a,multiply(multiply(a,a),identity)),
inference(superposition,[status(thm)],[c_5940,c_5090]) ).
cnf(c_5997,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(sP0_iProver_def,sP0_iProver_def),multiply(multiply(sP0_iProver_def,identity),identity)),identity))) = multiply(a,multiply(multiply(a,a),identity)),
inference(demodulation,[status(thm)],[c_5990,c_50,c_4924,c_5126]) ).
cnf(c_6717,plain,
multiply(multiply(multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),sP0_iProver_def)),multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),sP0_iProver_def))),multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(sP0_iProver_def,identity))))),identity),identity),identity))) = multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(sP0_iProver_def,identity))))),identity),multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(sP0_iProver_def,identity))))),identity)),multiply(multiply(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(sP0_iProver_def,identity))))),identity),identity),identity))),
inference(superposition,[status(thm)],[c_4964,c_5730]) ).
cnf(c_6745,plain,
multiply(identity,multiply(identity,multiply(multiply(sP0_iProver_def,sP0_iProver_def),multiply(multiply(sP0_iProver_def,identity),identity)))) = multiply(a,multiply(a,a)),
inference(demodulation,[status(thm)],[c_6717,c_50,c_62,c_4904,c_4924,c_4974,c_5128,c_5730]) ).
cnf(c_6762,plain,
multiply(identity,multiply(multiply(identity,multiply(multiply(sP0_iProver_def,sP0_iProver_def),multiply(multiply(sP0_iProver_def,identity),identity))),identity)) = multiply(multiply(a,multiply(a,a)),identity),
inference(superposition,[status(thm)],[c_6745,c_4924]) ).
cnf(c_6767,plain,
multiply(multiply(a,multiply(a,a)),identity) = multiply(a,multiply(multiply(a,a),identity)),
inference(demodulation,[status(thm)],[c_6762,c_4924,c_5997]) ).
cnf(c_6812,plain,
multiply(a,multiply(multiply(a,a),multiply(a,multiply(multiply(a,a),identity)))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(a,a),identity)))),
inference(superposition,[status(thm)],[c_6767,c_5133]) ).
cnf(c_6853,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(a,a),identity)))),multiply(multiply(multiply(a,a),identity),multiply(multiply(multiply(a,a),identity),multiply(multiply(a,a),identity)))) = multiply(multiply(a,a),multiply(multiply(a,multiply(a,identity)),identity)),
inference(superposition,[status(thm)],[c_6812,c_5100]) ).
cnf(c_6860,plain,
multiply(multiply(a,a),multiply(multiply(a,multiply(a,identity)),identity)) = identity,
inference(demodulation,[status(thm)],[c_6853,c_50,c_4924,c_4926]) ).
cnf(c_6873,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(a,identity),identity)))) = multiply(a,identity),
inference(superposition,[status(thm)],[c_6860,c_5133]) ).
cnf(c_6874,plain,
multiply(a,identity) = a,
inference(demodulation,[status(thm)],[c_6873,c_4878]) ).
cnf(c_6906,plain,
multiply(identity,a) = multiply(sP0_iProver_def,identity),
inference(demodulation,[status(thm)],[c_4908,c_6874]) ).
cnf(c_6907,plain,
multiply(sP0_iProver_def,identity) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_6906,c_62]) ).
cnf(c_6913,plain,
multiply(identity,multiply(identity,multiply(sP0_iProver_def,identity))) = a,
inference(demodulation,[status(thm)],[c_4904,c_6907]) ).
cnf(c_6914,plain,
multiply(identity,multiply(identity,sP0_iProver_def)) = a,
inference(demodulation,[status(thm)],[c_6913,c_6907]) ).
cnf(c_6916,plain,
multiply(multiply(a,a),multiply(multiply(a,a),identity)) = identity,
inference(demodulation,[status(thm)],[c_5192,c_6914]) ).
cnf(c_6917,plain,
multiply(multiply(a,a),a) = multiply(a,multiply(a,a)),
inference(demodulation,[status(thm)],[c_5128,c_6914]) ).
cnf(c_6918,plain,
multiply(a,multiply(a,multiply(a,a))) = identity,
inference(demodulation,[status(thm)],[c_5024,c_6914]) ).
cnf(c_6955,plain,
multiply(multiply(identity,multiply(a,a)),multiply(identity,multiply(multiply(a,a),identity))) = identity,
inference(superposition,[status(thm)],[c_6874,c_5776]) ).
cnf(c_6959,plain,
multiply(multiply(a,a),multiply(multiply(a,a),a)) = a,
inference(superposition,[status(thm)],[c_6874,c_5179]) ).
cnf(c_6963,plain,
multiply(multiply(a,a),multiply(a,multiply(a,a))) = a,
inference(demodulation,[status(thm)],[c_6959,c_6917]) ).
cnf(c_7071,plain,
multiply(multiply(a,a),multiply(multiply(a,a),multiply(multiply(a,a),multiply(a,a)))) = multiply(multiply(a,a),multiply(multiply(a,multiply(a,identity)),identity)),
inference(superposition,[status(thm)],[c_6963,c_5100]) ).
cnf(c_7074,plain,
multiply(multiply(identity,multiply(identity,a)),multiply(multiply(a,multiply(a,a)),multiply(multiply(a,multiply(a,a)),multiply(a,multiply(a,a))))) = multiply(identity,multiply(identity,multiply(multiply(multiply(a,a),identity),identity))),
inference(superposition,[status(thm)],[c_6963,c_4926]) ).
cnf(c_7078,plain,
multiply(multiply(a,a),multiply(multiply(a,a),multiply(multiply(a,a),multiply(a,a)))) = identity,
inference(demodulation,[status(thm)],[c_7071,c_6874,c_6916]) ).
cnf(c_7079,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(a,a),identity),identity))) = multiply(identity,multiply(sP0_iProver_def,a)),
inference(demodulation,[status(thm)],[c_7074,c_62,c_4878,c_4924,c_4974,c_4097]) ).
cnf(c_9228,plain,
multiply(multiply(identity,multiply(a,a)),multiply(multiply(multiply(identity,multiply(a,a)),multiply(identity,multiply(a,a))),multiply(identity,identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(a,a),identity)),identity)))),
inference(superposition,[status(thm)],[c_6955,c_5133]) ).
cnf(c_9230,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(sP0_iProver_def,a)))) = multiply(identity,multiply(a,a)),
inference(demodulation,[status(thm)],[c_9228,c_50,c_4863,c_4974,c_5789,c_6874,c_7079]) ).
cnf(c_9622,plain,
multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(identity,multiply(a,a)),identity)),identity)) = multiply(identity,multiply(identity,multiply(sP0_iProver_def,a))),
inference(superposition,[status(thm)],[c_9230,c_5090]) ).
cnf(c_9638,plain,
multiply(identity,multiply(identity,multiply(sP0_iProver_def,a))) = multiply(a,a),
inference(demodulation,[status(thm)],[c_9622,c_5090]) ).
cnf(c_9675,plain,
multiply(identity,multiply(multiply(identity,multiply(sP0_iProver_def,a)),identity)) = multiply(multiply(a,a),identity),
inference(superposition,[status(thm)],[c_9638,c_4924]) ).
cnf(c_9678,plain,
multiply(identity,multiply(identity,multiply(multiply(sP0_iProver_def,a),identity))) = multiply(multiply(a,a),identity),
inference(demodulation,[status(thm)],[c_9675,c_4924]) ).
cnf(c_9729,plain,
multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(multiply(a,a),identity),identity)),identity)) = multiply(identity,multiply(multiply(sP0_iProver_def,a),identity)),
inference(superposition,[status(thm)],[c_9678,c_5090]) ).
cnf(c_9748,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(a,a),identity),identity),identity))) = multiply(identity,multiply(multiply(sP0_iProver_def,a),identity)),
inference(demodulation,[status(thm)],[c_9729,c_50,c_4924]) ).
cnf(c_10147,plain,
multiply(multiply(multiply(a,a),multiply(a,a)),multiply(multiply(multiply(a,a),multiply(identity,identity)),identity)) = multiply(multiply(a,a),multiply(multiply(a,a),multiply(a,a))),
inference(superposition,[status(thm)],[c_7078,c_5090]) ).
cnf(c_10154,plain,
multiply(multiply(a,a),multiply(multiply(a,a),multiply(a,a))) = multiply(multiply(a,a),identity),
inference(demodulation,[status(thm)],[c_10147,c_5121,c_6874]) ).
cnf(c_10174,plain,
multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(identity,multiply(sP0_iProver_def,a)),identity)),identity)) = multiply(identity,multiply(multiply(multiply(a,a),identity),identity)),
inference(superposition,[status(thm)],[c_7079,c_5090]) ).
cnf(c_10192,plain,
multiply(identity,multiply(multiply(multiply(a,a),identity),identity)) = multiply(sP0_iProver_def,a),
inference(demodulation,[status(thm)],[c_10174,c_5090]) ).
cnf(c_10373,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(a,a),multiply(a,a)),multiply(multiply(multiply(a,a),identity),identity)),identity)))) = multiply(multiply(a,a),multiply(multiply(multiply(a,a),multiply(a,a)),multiply(multiply(a,a),multiply(a,a)))),
inference(superposition,[status(thm)],[c_10154,c_5175]) ).
cnf(c_10374,plain,
multiply(multiply(identity,multiply(identity,multiply(multiply(a,a),identity))),multiply(multiply(multiply(a,a),multiply(a,a)),multiply(multiply(multiply(a,a),multiply(a,a)),multiply(multiply(a,a),multiply(a,a))))) = multiply(identity,multiply(identity,multiply(multiply(multiply(a,a),identity),identity))),
inference(superposition,[status(thm)],[c_10154,c_4926]) ).
cnf(c_10376,plain,
multiply(multiply(multiply(a,a),multiply(a,a)),multiply(multiply(multiply(a,a),multiply(multiply(multiply(a,a),identity),identity)),identity)) = multiply(multiply(a,a),multiply(a,a)),
inference(superposition,[status(thm)],[c_10154,c_5090]) ).
cnf(c_10386,plain,
multiply(multiply(a,a),multiply(a,a)) = identity,
inference(demodulation,[status(thm)],[c_10376,c_50,c_5121,c_5126,c_6874,c_6917,c_6918]) ).
cnf(c_10389,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(multiply(a,a),identity),identity)),identity)))) = multiply(multiply(a,a),multiply(identity,identity)),
inference(demodulation,[status(thm)],[c_10373,c_10386]) ).
cnf(c_10390,plain,
multiply(identity,multiply(multiply(a,a),identity)) = multiply(multiply(a,a),identity),
inference(demodulation,[status(thm)],[c_10389,c_50,c_4974,c_9678,c_9748]) ).
cnf(c_10391,plain,
multiply(multiply(multiply(a,a),identity),multiply(identity,multiply(identity,identity))) = multiply(identity,multiply(identity,multiply(multiply(multiply(a,a),identity),identity))),
inference(demodulation,[status(thm)],[c_10374,c_10386,c_10390]) ).
cnf(c_10392,plain,
multiply(multiply(multiply(a,a),identity),identity) = multiply(identity,multiply(sP0_iProver_def,a)),
inference(demodulation,[status(thm)],[c_10391,c_50,c_10192]) ).
cnf(c_10407,plain,
multiply(identity,multiply(identity,multiply(sP0_iProver_def,a))) = multiply(sP0_iProver_def,a),
inference(demodulation,[status(thm)],[c_10192,c_10392]) ).
cnf(c_10408,plain,
multiply(a,a) = multiply(sP0_iProver_def,a),
inference(demodulation,[status(thm)],[c_9638,c_10407]) ).
cnf(c_10475,plain,
multiply(multiply(identity,multiply(identity,multiply(sP0_iProver_def,a))),multiply(a,multiply(sP0_iProver_def,a))) = multiply(identity,multiply(identity,multiply(multiply(a,identity),identity))),
inference(superposition,[status(thm)],[c_10408,c_4926]) ).
cnf(c_10479,plain,
multiply(multiply(identity,multiply(identity,multiply(X0,a))),multiply(a,multiply(sP0_iProver_def,a))) = multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),
inference(superposition,[status(thm)],[c_10408,c_4926]) ).
cnf(c_10484,plain,
multiply(identity,multiply(identity,multiply(multiply(a,identity),identity))) = multiply(identity,multiply(identity,multiply(multiply(sP0_iProver_def,identity),identity))),
inference(demodulation,[status(thm)],[c_10475,c_10479]) ).
cnf(c_10485,plain,
multiply(identity,sP0_iProver_def) = a,
inference(demodulation,[status(thm)],[c_10484,c_62,c_6874,c_6907,c_6914]) ).
cnf(c_10505,plain,
multiply(identity,a) = a,
inference(demodulation,[status(thm)],[c_6914,c_10485]) ).
cnf(c_10506,plain,
a = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_10505,c_62]) ).
cnf(c_10512,plain,
sP0_iProver_def != sP0_iProver_def,
inference(demodulation,[status(thm)],[c_63,c_10506]) ).
cnf(c_10513,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_10512]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP120-1 : TPTP v8.2.0. Released v1.2.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n025.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 : Thu Jun 20 06:49:39 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.19/0.46 Running UEQ theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.25/1.63 % SZS status Started for theBenchmark.p
% 8.25/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 8.25/1.63
% 8.25/1.63 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.25/1.63
% 8.25/1.63 ------ iProver source info
% 8.25/1.63
% 8.25/1.63 git: date: 2024-06-12 09:56:46 +0000
% 8.25/1.63 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 8.25/1.63 git: non_committed_changes: false
% 8.25/1.63
% 8.25/1.63 ------ Parsing...successful
% 8.25/1.63
% 8.25/1.63
% 8.25/1.63
% 8.25/1.63 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 8.25/1.63
% 8.25/1.63 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.25/1.63
% 8.25/1.63 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.25/1.63 ------ Proving...
% 8.25/1.63 ------ Problem Properties
% 8.25/1.63
% 8.25/1.63
% 8.25/1.63 clauses 4
% 8.25/1.63 conjectures 1
% 8.25/1.63 EPR 1
% 8.25/1.63 Horn 4
% 8.25/1.63 unary 4
% 8.25/1.63 binary 0
% 8.25/1.63 lits 4
% 8.25/1.63 lits eq 4
% 8.25/1.63 fd_pure 0
% 8.25/1.63 fd_pseudo 0
% 8.25/1.63 fd_cond 0
% 8.25/1.63 fd_pseudo_cond 0
% 8.25/1.63 AC symbols 0
% 8.25/1.63
% 8.25/1.63 ------ Input Options Time Limit: Unbounded
% 8.25/1.63
% 8.25/1.63
% 8.25/1.63 ------
% 8.25/1.63 Current options:
% 8.25/1.63 ------
% 8.25/1.63
% 8.25/1.63
% 8.25/1.63
% 8.25/1.63
% 8.25/1.63 ------ Proving...
% 8.25/1.63
% 8.25/1.63
% 8.25/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 8.25/1.63
% 8.25/1.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.25/1.63
% 8.25/1.64
%------------------------------------------------------------------------------