TSTP Solution File: GRP002-4 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP002-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 02:19:43 EDT 2024
% Result : Unsatisfiable 16.16s 2.67s
% Output : CNFRefutation 16.16s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(X0,identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
cnf(c_50,plain,
multiply(X0,inverse(X0)) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
cnf(c_51,plain,
multiply(X0,multiply(X1,multiply(inverse(X0),inverse(X1)))) = commutator(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutator) ).
cnf(c_52,plain,
multiply(X0,multiply(X0,X0)) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_cubed_is_identity) ).
cnf(c_53,negated_conjecture,
commutator(commutator(a,b),b) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutator) ).
cnf(c_54,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_55,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_56,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_83,plain,
commutator(a,b) = sP0_iProver_def,
definition ).
cnf(c_84,plain,
commutator(sP0_iProver_def,b) = sP1_iProver_def,
definition ).
cnf(c_85,negated_conjecture,
sP1_iProver_def != identity,
inference(demodulation,[status(thm)],[c_53,c_83,c_84]) ).
cnf(c_133,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_54,c_50]) ).
cnf(c_163,plain,
multiply(X0,multiply(inverse(X0),X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_50,c_56]) ).
cnf(c_164,plain,
multiply(X0,multiply(multiply(X1,multiply(inverse(X0),inverse(X1))),X2)) = multiply(commutator(X0,X1),X2),
inference(superposition,[status(thm)],[c_51,c_56]) ).
cnf(c_169,plain,
multiply(X0,multiply(X1,identity)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_56,c_49]) ).
cnf(c_170,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_56,c_50]) ).
cnf(c_171,plain,
multiply(X0,multiply(X1,multiply(X2,multiply(inverse(X0),inverse(multiply(X1,X2)))))) = commutator(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_56,c_51]) ).
cnf(c_172,plain,
multiply(X0,multiply(X1,multiply(X2,multiply(inverse(multiply(X0,X1)),inverse(X2))))) = commutator(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[c_56,c_51]) ).
cnf(c_175,plain,
multiply(multiply(X0,multiply(X1,X2)),X3) = multiply(multiply(X0,X1),multiply(X2,X3)),
inference(superposition,[status(thm)],[c_56,c_56]) ).
cnf(c_195,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_163,c_54]) ).
cnf(c_200,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_50,c_195]) ).
cnf(c_201,plain,
multiply(X0,multiply(inverse(inverse(X1)),inverse(X0))) = multiply(X1,commutator(inverse(X1),X0)),
inference(superposition,[status(thm)],[c_51,c_195]) ).
cnf(c_202,plain,
multiply(inverse(X0),inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_52,c_195]) ).
cnf(c_211,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_195,c_195]) ).
cnf(c_215,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_200,c_49]) ).
cnf(c_217,plain,
multiply(inverse(X0),inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_202,c_49]) ).
cnf(c_242,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_215,c_195]) ).
cnf(c_244,plain,
multiply(inverse(X0),multiply(X1,multiply(X0,inverse(X1)))) = commutator(inverse(X0),X1),
inference(superposition,[status(thm)],[c_215,c_51]) ).
cnf(c_247,plain,
multiply(X0,multiply(inverse(X1),multiply(inverse(X0),X1))) = commutator(X0,inverse(X1)),
inference(superposition,[status(thm)],[c_215,c_51]) ).
cnf(c_261,plain,
multiply(X0,X0) = inverse(X0),
inference(superposition,[status(thm)],[c_217,c_195]) ).
cnf(c_273,plain,
multiply(X0,multiply(X0,X1)) = multiply(inverse(X0),X1),
inference(superposition,[status(thm)],[c_261,c_56]) ).
cnf(c_274,plain,
multiply(X0,multiply(X1,multiply(X0,X1))) = inverse(multiply(X0,X1)),
inference(superposition,[status(thm)],[c_261,c_56]) ).
cnf(c_328,plain,
multiply(X0,inverse(multiply(X1,X0))) = multiply(inverse(X1),identity),
inference(superposition,[status(thm)],[c_170,c_242]) ).
cnf(c_427,plain,
multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(demodulation,[status(thm)],[c_328,c_49]) ).
cnf(c_436,plain,
multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = inverse(multiply(X1,X2)),
inference(superposition,[status(thm)],[c_56,c_427]) ).
cnf(c_444,plain,
multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_427,c_242]) ).
cnf(c_445,plain,
multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
inference(superposition,[status(thm)],[c_427,c_56]) ).
cnf(c_447,plain,
inverse(multiply(X0,inverse(X1))) = multiply(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_427,c_195]) ).
cnf(c_448,plain,
multiply(inverse(multiply(X0,X1)),inverse(inverse(X0))) = inverse(X1),
inference(superposition,[status(thm)],[c_427,c_427]) ).
cnf(c_456,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_448,c_215]) ).
cnf(c_458,plain,
multiply(X0,multiply(X1,inverse(multiply(X1,X0)))) = commutator(X0,X1),
inference(demodulation,[status(thm)],[c_51,c_444]) ).
cnf(c_486,plain,
inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[status(thm)],[c_195,c_456]) ).
cnf(c_497,plain,
multiply(X0,inverse(inverse(X1))) = inverse(inverse(multiply(X0,X1))),
inference(superposition,[status(thm)],[c_456,c_427]) ).
cnf(c_545,plain,
multiply(inverse(X0),multiply(inverse(X1),X2)) = multiply(inverse(multiply(X1,X0)),X2),
inference(superposition,[status(thm)],[c_444,c_56]) ).
cnf(c_654,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,inverse(inverse(X1))),
inference(superposition,[status(thm)],[c_486,c_447]) ).
cnf(c_661,plain,
multiply(X0,inverse(inverse(X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_654,c_211]) ).
cnf(c_813,plain,
multiply(X0,multiply(multiply(X1,inverse(multiply(X1,X0))),X2)) = multiply(commutator(X0,X1),X2),
inference(light_normalisation,[status(thm)],[c_164,c_444]) ).
cnf(c_814,plain,
multiply(X0,multiply(X1,multiply(inverse(multiply(X1,X0)),X2))) = multiply(commutator(X0,X1),X2),
inference(demodulation,[status(thm)],[c_813,c_56]) ).
cnf(c_826,plain,
multiply(X0,multiply(X1,inverse(inverse(multiply(X1,X0))))) = multiply(commutator(X0,X1),inverse(multiply(X1,X0))),
inference(superposition,[status(thm)],[c_261,c_814]) ).
cnf(c_827,plain,
multiply(commutator(X0,X1),multiply(X1,X0)) = multiply(X0,multiply(X1,identity)),
inference(superposition,[status(thm)],[c_55,c_814]) ).
cnf(c_828,plain,
multiply(commutator(X0,X1),multiply(inverse(inverse(multiply(X1,X0))),X2)) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_195,c_814]) ).
cnf(c_866,plain,
multiply(commutator(X0,X1),multiply(X1,X0)) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_827,c_169]) ).
cnf(c_1020,plain,
multiply(sP0_iProver_def,multiply(b,a)) = multiply(a,b),
inference(superposition,[status(thm)],[c_83,c_866]) ).
cnf(c_1021,plain,
multiply(sP1_iProver_def,multiply(b,sP0_iProver_def)) = multiply(sP0_iProver_def,b),
inference(superposition,[status(thm)],[c_84,c_866]) ).
cnf(c_1049,plain,
multiply(multiply(X0,X1),inverse(multiply(X1,X0))) = inverse(commutator(X1,X0)),
inference(superposition,[status(thm)],[c_866,c_427]) ).
cnf(c_1116,plain,
multiply(inverse(multiply(a,b)),sP0_iProver_def) = inverse(multiply(b,a)),
inference(superposition,[status(thm)],[c_1020,c_456]) ).
cnf(c_1119,plain,
multiply(sP0_iProver_def,multiply(multiply(b,a),X0)) = multiply(multiply(a,b),X0),
inference(superposition,[status(thm)],[c_1020,c_56]) ).
cnf(c_1131,plain,
multiply(inverse(multiply(sP0_iProver_def,b)),sP1_iProver_def) = inverse(multiply(b,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_1021,c_456]) ).
cnf(c_1200,plain,
multiply(multiply(a,b),inverse(multiply(b,a))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_1116,c_195]) ).
cnf(c_1223,plain,
inverse(commutator(b,a)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_1200,c_1049]) ).
cnf(c_1233,plain,
multiply(sP0_iProver_def,commutator(b,a)) = identity,
inference(superposition,[status(thm)],[c_1223,c_55]) ).
cnf(c_1383,plain,
multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X1,multiply(X2,X0)))))) = commutator(X0,multiply(X1,X2)),
inference(demodulation,[status(thm)],[c_171,c_56,c_444]) ).
cnf(c_1444,plain,
multiply(X0,inverse(multiply(X1,multiply(X0,inverse(X1))))) = commutator(inverse(X1),multiply(X1,X0)),
inference(superposition,[status(thm)],[c_1383,c_242]) ).
cnf(c_1723,plain,
multiply(inverse(inverse(multiply(X0,X1))),X0) = inverse(multiply(X1,multiply(X0,X1))),
inference(superposition,[status(thm)],[c_274,c_456]) ).
cnf(c_1760,plain,
inverse(multiply(X0,multiply(X1,X0))) = multiply(multiply(X1,X0),X1),
inference(light_normalisation,[status(thm)],[c_1723,c_497,c_661]) ).
cnf(c_1901,plain,
multiply(multiply(sP0_iProver_def,b),inverse(multiply(b,sP0_iProver_def))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_1131,c_195]) ).
cnf(c_1927,plain,
inverse(commutator(b,sP0_iProver_def)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_1901,c_1049]) ).
cnf(c_1934,plain,
commutator(b,sP0_iProver_def) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_1927,c_215]) ).
cnf(c_2002,plain,
multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X2,multiply(X0,X1)))))) = commutator(multiply(X0,X1),X2),
inference(demodulation,[status(thm)],[c_172,c_444]) ).
cnf(c_2013,plain,
multiply(X0,inverse(multiply(X1,multiply(X0,inverse(X1))))) = commutator(multiply(X0,inverse(X1)),X1),
inference(superposition,[status(thm)],[c_242,c_2002]) ).
cnf(c_2025,plain,
multiply(X0,multiply(X1,multiply(inverse(X0),inverse(X1)))) = commutator(multiply(X0,X1),inverse(X0)),
inference(superposition,[status(thm)],[c_242,c_2002]) ).
cnf(c_2027,plain,
multiply(X0,multiply(X1,multiply(X0,inverse(multiply(inverse(X0),X1))))) = commutator(multiply(X0,X1),X0),
inference(superposition,[status(thm)],[c_273,c_2002]) ).
cnf(c_2089,plain,
commutator(multiply(X0,X1),inverse(X0)) = commutator(X0,X1),
inference(light_normalisation,[status(thm)],[c_2025,c_444,c_458]) ).
cnf(c_2092,plain,
commutator(multiply(X0,inverse(X1)),X1) = commutator(inverse(X1),multiply(X1,X0)),
inference(light_normalisation,[status(thm)],[c_2013,c_1444]) ).
cnf(c_2097,plain,
multiply(X0,multiply(X1,multiply(X0,multiply(inverse(X1),X0)))) = commutator(multiply(X0,X1),X0),
inference(light_normalisation,[status(thm)],[c_2027,c_486]) ).
cnf(c_2498,plain,
multiply(X0,multiply(X1,inverse(multiply(X1,X0)))) = commutator(X0,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_436,c_1383]) ).
cnf(c_2499,plain,
multiply(X0,multiply(X1,inverse(multiply(X1,X0)))) = commutator(multiply(X0,X1),X1),
inference(superposition,[status(thm)],[c_436,c_2002]) ).
cnf(c_2512,plain,
commutator(multiply(X0,X1),X1) = commutator(X0,X1),
inference(light_normalisation,[status(thm)],[c_2499,c_458]) ).
cnf(c_2513,plain,
commutator(X0,multiply(X1,X0)) = commutator(X0,X1),
inference(light_normalisation,[status(thm)],[c_2498,c_458]) ).
cnf(c_2790,plain,
commutator(inverse(multiply(X0,X1)),X0) = commutator(inverse(X1),X0),
inference(superposition,[status(thm)],[c_456,c_2512]) ).
cnf(c_2880,plain,
commutator(X0,inverse(multiply(X0,X1))) = commutator(X0,inverse(X1)),
inference(superposition,[status(thm)],[c_456,c_2513]) ).
cnf(c_2960,plain,
commutator(inverse(X0),multiply(X0,X1)) = commutator(X1,inverse(inverse(X0))),
inference(superposition,[status(thm)],[c_242,c_2089]) ).
cnf(c_2963,plain,
commutator(X0,inverse(multiply(X1,X0))) = commutator(inverse(X1),inverse(X0)),
inference(superposition,[status(thm)],[c_427,c_2089]) ).
cnf(c_2987,plain,
commutator(inverse(X0),multiply(X0,X1)) = commutator(X1,X0),
inference(light_normalisation,[status(thm)],[c_2960,c_215]) ).
cnf(c_3052,plain,
commutator(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = commutator(X2,multiply(X0,X1)),
inference(superposition,[status(thm)],[c_56,c_2987]) ).
cnf(c_3133,plain,
multiply(X0,multiply(X1,inverse(X0))) = multiply(X1,commutator(inverse(X1),X0)),
inference(demodulation,[status(thm)],[c_201,c_211]) ).
cnf(c_4085,plain,
multiply(inverse(inverse(multiply(X0,X1))),X2) = multiply(X0,multiply(inverse(inverse(X1)),X2)),
inference(superposition,[status(thm)],[c_456,c_445]) ).
cnf(c_4152,plain,
multiply(X0,multiply(inverse(inverse(X1)),X2)) = multiply(multiply(X0,X1),X2),
inference(light_normalisation,[status(thm)],[c_4085,c_497,c_661]) ).
cnf(c_4662,plain,
commutator(multiply(X0,inverse(X1)),X1) = commutator(inverse(inverse(X0)),X1),
inference(superposition,[status(thm)],[c_447,c_2790]) ).
cnf(c_4699,plain,
commutator(multiply(X0,inverse(X1)),X1) = commutator(X0,X1),
inference(light_normalisation,[status(thm)],[c_4662,c_215,c_2092]) ).
cnf(c_4789,plain,
multiply(inverse(inverse(multiply(X0,X1))),multiply(inverse(X0),inverse(X1))) = commutator(inverse(inverse(multiply(X0,X1))),X1),
inference(superposition,[status(thm)],[c_445,c_244]) ).
cnf(c_4864,plain,
inverse(commutator(X0,X1)) = commutator(X1,X0),
inference(light_normalisation,[status(thm)],[c_4789,c_444,c_497,c_661,c_1049,c_2512]) ).
cnf(c_5781,plain,
commutator(multiply(X0,X1),inverse(X1)) = commutator(X0,inverse(X1)),
inference(superposition,[status(thm)],[c_215,c_4699]) ).
cnf(c_5866,plain,
commutator(multiply(X0,X1),inverse(multiply(X0,multiply(X1,X2)))) = commutator(multiply(X0,X1),inverse(X2)),
inference(superposition,[status(thm)],[c_56,c_2880]) ).
cnf(c_6386,plain,
multiply(X0,multiply(inverse(multiply(X0,X1)),X1)) = commutator(X0,inverse(X1)),
inference(demodulation,[status(thm)],[c_247,c_545]) ).
cnf(c_6697,plain,
multiply(sP0_iProver_def,multiply(b,multiply(a,X0))) = multiply(a,multiply(b,X0)),
inference(demodulation,[status(thm)],[c_1119,c_56]) ).
cnf(c_6705,plain,
multiply(a,multiply(b,inverse(a))) = multiply(sP0_iProver_def,multiply(b,identity)),
inference(superposition,[status(thm)],[c_50,c_6697]) ).
cnf(c_7551,plain,
multiply(b,commutator(inverse(b),a)) = multiply(sP0_iProver_def,b),
inference(demodulation,[status(thm)],[c_6705,c_169,c_3133]) ).
cnf(c_7562,plain,
multiply(inverse(multiply(sP0_iProver_def,b)),b) = inverse(commutator(inverse(b),a)),
inference(superposition,[status(thm)],[c_7551,c_456]) ).
cnf(c_10413,plain,
inverse(multiply(X0,multiply(X1,X0))) = multiply(X1,multiply(X0,X1)),
inference(demodulation,[status(thm)],[c_1760,c_56]) ).
cnf(c_10560,plain,
multiply(inverse(multiply(X0,multiply(X1,X0))),X2) = multiply(X1,multiply(multiply(X0,X1),X2)),
inference(superposition,[status(thm)],[c_10413,c_56]) ).
cnf(c_14575,plain,
multiply(inverse(multiply(sP0_iProver_def,b)),b) = commutator(a,inverse(b)),
inference(demodulation,[status(thm)],[c_7562,c_4864]) ).
cnf(c_14615,plain,
multiply(sP0_iProver_def,commutator(a,inverse(b))) = commutator(sP0_iProver_def,inverse(b)),
inference(superposition,[status(thm)],[c_14575,c_6386]) ).
cnf(c_25810,plain,
multiply(commutator(X0,X1),inverse(multiply(X1,X0))) = multiply(X0,multiply(inverse(X1),X0)),
inference(demodulation,[status(thm)],[c_826,c_273,c_661]) ).
cnf(c_28371,plain,
multiply(commutator(X0,X1),multiply(X1,multiply(X0,X2))) = multiply(X0,multiply(X1,X2)),
inference(demodulation,[status(thm)],[c_828,c_56,c_175,c_4152]) ).
cnf(c_28445,plain,
multiply(commutator(X0,X1),inverse(multiply(X1,X0))) = multiply(X0,multiply(X1,multiply(X1,X0))),
inference(superposition,[status(thm)],[c_274,c_28371]) ).
cnf(c_28641,plain,
multiply(X0,multiply(X1,multiply(X1,X0))) = multiply(X0,multiply(inverse(X1),X0)),
inference(light_normalisation,[status(thm)],[c_28445,c_25810]) ).
cnf(c_41106,plain,
multiply(inverse(multiply(X0,multiply(X1,X0))),X2) = multiply(X1,multiply(X0,multiply(X1,X2))),
inference(demodulation,[status(thm)],[c_10560,c_56]) ).
cnf(c_41470,plain,
multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X1,X0))))) = commutator(X0,inverse(multiply(X1,X0))),
inference(superposition,[status(thm)],[c_41106,c_6386]) ).
cnf(c_41612,plain,
commutator(multiply(X0,X1),X0) = commutator(inverse(X1),inverse(X0)),
inference(light_normalisation,[status(thm)],[c_41470,c_2097,c_2963,c_28641]) ).
cnf(c_43275,plain,
commutator(inverse(inverse(multiply(X0,X1))),inverse(X1)) = commutator(inverse(X0),X1),
inference(superposition,[status(thm)],[c_427,c_41612]) ).
cnf(c_43386,plain,
commutator(inverse(X0),X1) = commutator(X0,inverse(X1)),
inference(light_normalisation,[status(thm)],[c_43275,c_497,c_661,c_5781]) ).
cnf(c_43462,plain,
commutator(multiply(X0,X1),inverse(multiply(X0,multiply(X1,X2)))) = commutator(X2,multiply(X0,X1)),
inference(demodulation,[status(thm)],[c_3052,c_43386]) ).
cnf(c_43472,plain,
commutator(multiply(X0,X1),inverse(X2)) = commutator(X2,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_43462,c_5866]) ).
cnf(c_43474,plain,
commutator(X0,multiply(X1,X0)) = commutator(X1,inverse(X0)),
inference(demodulation,[status(thm)],[c_5781,c_43472]) ).
cnf(c_43496,plain,
commutator(X0,inverse(X1)) = commutator(X1,X0),
inference(light_normalisation,[status(thm)],[c_43474,c_2513]) ).
cnf(c_43505,plain,
multiply(sP0_iProver_def,commutator(b,a)) = commutator(sP0_iProver_def,inverse(b)),
inference(demodulation,[status(thm)],[c_14615,c_43496]) ).
cnf(c_43516,plain,
commutator(sP0_iProver_def,inverse(b)) = identity,
inference(light_normalisation,[status(thm)],[c_43505,c_1233]) ).
cnf(c_43858,plain,
inverse(sP1_iProver_def) = identity,
inference(demodulation,[status(thm)],[c_43516,c_1934,c_43496]) ).
cnf(c_43875,plain,
inverse(identity) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_43858,c_215]) ).
cnf(c_43907,plain,
identity = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_133,c_43875]) ).
cnf(c_43924,plain,
sP1_iProver_def != sP1_iProver_def,
inference(demodulation,[status(thm)],[c_85,c_43907]) ).
cnf(c_43925,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_43924]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP002-4 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 23:41:10 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.49 Running UEQ theorem proving
% 0.20/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 16.16/2.67 % SZS status Started for theBenchmark.p
% 16.16/2.67 % SZS status Unsatisfiable for theBenchmark.p
% 16.16/2.67
% 16.16/2.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 16.16/2.67
% 16.16/2.67 ------ iProver source info
% 16.16/2.67
% 16.16/2.67 git: date: 2024-05-02 19:28:25 +0000
% 16.16/2.67 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 16.16/2.67 git: non_committed_changes: false
% 16.16/2.67
% 16.16/2.67 ------ Parsing...successful
% 16.16/2.67
% 16.16/2.67
% 16.16/2.67
% 16.16/2.67 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 16.16/2.67
% 16.16/2.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 16.16/2.67
% 16.16/2.67 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 16.16/2.67 ------ Proving...
% 16.16/2.67 ------ Problem Properties
% 16.16/2.67
% 16.16/2.67
% 16.16/2.67 clauses 10
% 16.16/2.67 conjectures 1
% 16.16/2.67 EPR 1
% 16.16/2.67 Horn 10
% 16.16/2.67 unary 10
% 16.16/2.67 binary 0
% 16.16/2.67 lits 10
% 16.16/2.67 lits eq 10
% 16.16/2.67 fd_pure 0
% 16.16/2.67 fd_pseudo 0
% 16.16/2.67 fd_cond 0
% 16.16/2.67 fd_pseudo_cond 0
% 16.16/2.67 AC symbols 0
% 16.16/2.67
% 16.16/2.67 ------ Input Options Time Limit: Unbounded
% 16.16/2.67
% 16.16/2.67
% 16.16/2.67 ------
% 16.16/2.67 Current options:
% 16.16/2.67 ------
% 16.16/2.67
% 16.16/2.67
% 16.16/2.67
% 16.16/2.67
% 16.16/2.67 ------ Proving...
% 16.16/2.67
% 16.16/2.67
% 16.16/2.67 % SZS status Unsatisfiable for theBenchmark.p
% 16.16/2.67
% 16.16/2.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 16.16/2.67
% 16.16/2.68
%------------------------------------------------------------------------------