TSTP Solution File: GRP591-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP591-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 07:00:53 EDT 2024
% Result : Unsatisfiable 0.47s 1.14s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(X2))))),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
inverse(double_divide(X0,X1)) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(c_60,plain,
double_divide(multiply(multiply(inverse(X0),X1),double_divide(X1,X2)),X2) = X0,
inference(demodulation,[status(thm)],[c_49,c_50]) ).
cnf(c_67,plain,
multiply(a3,b3) = sP0_iProver_def,
definition ).
cnf(c_68,plain,
multiply(sP0_iProver_def,c3) = sP1_iProver_def,
definition ).
cnf(c_69,plain,
multiply(b3,c3) = sP2_iProver_def,
definition ).
cnf(c_70,plain,
multiply(a3,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_71,negated_conjecture,
sP1_iProver_def != sP3_iProver_def,
inference(demodulation,[status(thm)],[c_51,c_69,c_70,c_67,c_68]) ).
cnf(c_117,plain,
double_divide(multiply(multiply(multiply(X0,X1),X2),double_divide(X2,X3)),X3) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_50,c_60]) ).
cnf(c_119,plain,
multiply(X0,multiply(multiply(inverse(X1),X2),double_divide(X2,X0))) = inverse(X1),
inference(superposition,[status(thm)],[c_60,c_50]) ).
cnf(c_120,plain,
double_divide(multiply(multiply(inverse(X0),multiply(multiply(inverse(X1),X2),double_divide(X2,X3))),X1),X3) = X0,
inference(superposition,[status(thm)],[c_60,c_60]) ).
cnf(c_125,plain,
multiply(X0,multiply(multiply(multiply(X1,X2),X3),double_divide(X3,X0))) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_50,c_119]) ).
cnf(c_134,plain,
double_divide(multiply(multiply(sP0_iProver_def,X0),double_divide(X0,X1)),X1) = double_divide(b3,a3),
inference(superposition,[status(thm)],[c_67,c_117]) ).
cnf(c_136,plain,
double_divide(multiply(multiply(sP1_iProver_def,X0),double_divide(X0,X1)),X1) = double_divide(c3,sP0_iProver_def),
inference(superposition,[status(thm)],[c_68,c_117]) ).
cnf(c_137,plain,
double_divide(multiply(multiply(sP3_iProver_def,X0),double_divide(X0,X1)),X1) = double_divide(sP2_iProver_def,a3),
inference(superposition,[status(thm)],[c_70,c_117]) ).
cnf(c_156,plain,
double_divide(multiply(sP1_iProver_def,double_divide(c3,X0)),X0) = double_divide(b3,a3),
inference(superposition,[status(thm)],[c_68,c_134]) ).
cnf(c_162,plain,
multiply(X0,multiply(multiply(sP0_iProver_def,X1),double_divide(X1,X0))) = inverse(double_divide(b3,a3)),
inference(superposition,[status(thm)],[c_134,c_50]) ).
cnf(c_176,plain,
multiply(X0,multiply(sP1_iProver_def,double_divide(c3,X0))) = inverse(double_divide(b3,a3)),
inference(superposition,[status(thm)],[c_156,c_50]) ).
cnf(c_177,plain,
double_divide(multiply(multiply(inverse(X0),multiply(sP1_iProver_def,double_divide(c3,X1))),double_divide(b3,a3)),X1) = X0,
inference(superposition,[status(thm)],[c_156,c_60]) ).
cnf(c_222,plain,
double_divide(multiply(multiply(sP1_iProver_def,multiply(multiply(inverse(X0),X1),double_divide(X1,X2))),X0),X2) = double_divide(c3,sP0_iProver_def),
inference(superposition,[status(thm)],[c_60,c_136]) ).
cnf(c_231,plain,
multiply(X0,multiply(multiply(sP1_iProver_def,X1),double_divide(X1,X0))) = inverse(double_divide(c3,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_136,c_50]) ).
cnf(c_262,plain,
multiply(X0,multiply(multiply(sP3_iProver_def,X1),double_divide(X1,X0))) = inverse(double_divide(sP2_iProver_def,a3)),
inference(superposition,[status(thm)],[c_137,c_50]) ).
cnf(c_462,plain,
multiply(X0,multiply(multiply(sP0_iProver_def,X1),double_divide(X1,X0))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_67,c_125]) ).
cnf(c_464,plain,
multiply(X0,multiply(multiply(sP1_iProver_def,X1),double_divide(X1,X0))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_68,c_125]) ).
cnf(c_465,plain,
multiply(X0,multiply(multiply(sP3_iProver_def,X1),double_divide(X1,X0))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_70,c_125]) ).
cnf(c_495,plain,
inverse(double_divide(b3,a3)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_162,c_462]) ).
cnf(c_496,plain,
multiply(X0,multiply(sP1_iProver_def,double_divide(c3,X0))) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_176,c_495]) ).
cnf(c_498,plain,
inverse(double_divide(c3,sP0_iProver_def)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_231,c_464]) ).
cnf(c_499,plain,
inverse(double_divide(sP2_iProver_def,a3)) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_262,c_465]) ).
cnf(c_547,plain,
double_divide(multiply(sP0_iProver_def,double_divide(multiply(sP1_iProver_def,double_divide(c3,inverse(X0))),X1)),X1) = X0,
inference(superposition,[status(thm)],[c_496,c_60]) ).
cnf(c_570,plain,
multiply(X0,multiply(multiply(sP0_iProver_def,multiply(multiply(inverse(X1),X2),double_divide(X2,X0))),X1)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_60,c_462]) ).
cnf(c_762,plain,
double_divide(multiply(sP0_iProver_def,double_divide(b3,a3)),inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_156,c_547]) ).
cnf(c_825,plain,
multiply(sP0_iProver_def,multiply(inverse(X0),X0)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_119,c_570]) ).
cnf(c_898,plain,
multiply(sP0_iProver_def,multiply(sP0_iProver_def,double_divide(b3,a3))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_495,c_825]) ).
cnf(c_932,plain,
double_divide(multiply(sP0_iProver_def,double_divide(b3,a3)),multiply(X0,X1)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_50,c_762]) ).
cnf(c_941,plain,
multiply(inverse(X0),multiply(sP0_iProver_def,double_divide(b3,a3))) = inverse(X0),
inference(superposition,[status(thm)],[c_762,c_50]) ).
cnf(c_945,plain,
multiply(inverse(X0),multiply(multiply(sP0_iProver_def,multiply(sP0_iProver_def,double_divide(b3,a3))),X0)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_762,c_462]) ).
cnf(c_951,plain,
multiply(inverse(X0),multiply(sP0_iProver_def,X0)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_945,c_898]) ).
cnf(c_1026,plain,
multiply(multiply(X0,X1),multiply(sP0_iProver_def,double_divide(b3,a3))) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_50,c_941]) ).
cnf(c_1070,plain,
double_divide(multiply(multiply(inverse(X0),multiply(sP0_iProver_def,double_divide(b3,a3))),double_divide(X1,X2)),multiply(X2,X1)) = X0,
inference(superposition,[status(thm)],[c_932,c_60]) ).
cnf(c_1089,plain,
double_divide(multiply(inverse(X0),double_divide(X1,X2)),multiply(X2,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_1070,c_941]) ).
cnf(c_1128,plain,
double_divide(multiply(inverse(X0),double_divide(b3,a3)),sP0_iProver_def) = X0,
inference(superposition,[status(thm)],[c_67,c_1089]) ).
cnf(c_1222,plain,
multiply(inverse(multiply(inverse(X0),X0)),sP0_iProver_def) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_825,c_951]) ).
cnf(c_1230,plain,
double_divide(multiply(sP0_iProver_def,double_divide(multiply(sP0_iProver_def,X0),X1)),X1) = X0,
inference(superposition,[status(thm)],[c_951,c_60]) ).
cnf(c_1363,plain,
multiply(sP0_iProver_def,multiply(inverse(X0),double_divide(b3,a3))) = inverse(X0),
inference(superposition,[status(thm)],[c_1128,c_50]) ).
cnf(c_1524,plain,
double_divide(multiply(sP0_iProver_def,double_divide(sP0_iProver_def,X0)),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_1222,c_60]) ).
cnf(c_1583,plain,
double_divide(multiply(sP0_iProver_def,double_divide(sP0_iProver_def,X0)),X0) = multiply(sP1_iProver_def,double_divide(c3,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_496,c_1230]) ).
cnf(c_1640,plain,
multiply(sP0_iProver_def,multiply(multiply(X0,X1),double_divide(b3,a3))) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_50,c_1363]) ).
cnf(c_1844,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_1524,c_1524]) ).
cnf(c_1856,plain,
double_divide(multiply(sP0_iProver_def,double_divide(sP0_iProver_def,X0)),X0) = inverse(multiply(sP0_iProver_def,double_divide(b3,a3))),
inference(superposition,[status(thm)],[c_1524,c_941]) ).
cnf(c_1878,plain,
inverse(multiply(sP0_iProver_def,double_divide(b3,a3))) = multiply(sP1_iProver_def,double_divide(c3,sP0_iProver_def)),
inference(light_normalisation,[status(thm)],[c_1856,c_1583]) ).
cnf(c_2756,plain,
double_divide(multiply(sP0_iProver_def,double_divide(multiply(X0,X1),X2)),X2) = multiply(multiply(X0,X1),double_divide(b3,a3)),
inference(superposition,[status(thm)],[c_1640,c_1230]) ).
cnf(c_2770,plain,
multiply(multiply(sP0_iProver_def,X0),double_divide(b3,a3)) = X0,
inference(demodulation,[status(thm)],[c_1230,c_2756]) ).
cnf(c_2859,plain,
multiply(multiply(X0,X1),double_divide(X1,X0)) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_50,c_1844]) ).
cnf(c_2909,plain,
double_divide(multiply(multiply(inverse(X0),X0),double_divide(X1,X2)),X2) = X1,
inference(superposition,[status(thm)],[c_1844,c_60]) ).
cnf(c_3210,plain,
double_divide(multiply(inverse(X0),X0),inverse(X1)) = X1,
inference(superposition,[status(thm)],[c_2859,c_60]) ).
cnf(c_3214,plain,
multiply(inverse(X0),multiply(inverse(X1),X1)) = inverse(X0),
inference(superposition,[status(thm)],[c_2859,c_119]) ).
cnf(c_3418,plain,
double_divide(multiply(multiply(inverse(X0),multiply(inverse(X1),X1)),X2),inverse(X2)) = X0,
inference(superposition,[status(thm)],[c_3210,c_60]) ).
cnf(c_3426,plain,
double_divide(multiply(inverse(X0),X1),inverse(X1)) = X0,
inference(light_normalisation,[status(thm)],[c_3418,c_3214]) ).
cnf(c_3502,plain,
multiply(sP1_iProver_def,double_divide(c3,a3)) = b3,
inference(superposition,[status(thm)],[c_2909,c_177]) ).
cnf(c_3720,plain,
multiply(multiply(sP0_iProver_def,multiply(multiply(inverse(X0),X1),double_divide(X1,sP0_iProver_def))),X0) = multiply(sP0_iProver_def,double_divide(b3,a3)),
inference(superposition,[status(thm)],[c_570,c_2770]) ).
cnf(c_3733,plain,
multiply(X0,multiply(sP0_iProver_def,double_divide(b3,a3))) = X0,
inference(superposition,[status(thm)],[c_2770,c_1026]) ).
cnf(c_4027,plain,
double_divide(sP0_iProver_def,inverse(multiply(sP0_iProver_def,X0))) = X0,
inference(superposition,[status(thm)],[c_951,c_3426]) ).
cnf(c_4029,plain,
multiply(inverse(X0),X0) = double_divide(sP0_iProver_def,inverse(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_1222,c_3426]) ).
cnf(c_4055,plain,
multiply(sP0_iProver_def,double_divide(sP0_iProver_def,inverse(sP0_iProver_def))) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_825,c_4029]) ).
cnf(c_4089,plain,
multiply(sP1_iProver_def,double_divide(c3,sP0_iProver_def)) = double_divide(sP0_iProver_def,inverse(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_496,c_4027]) ).
cnf(c_4091,plain,
multiply(inverse(multiply(sP0_iProver_def,X0)),sP0_iProver_def) = inverse(X0),
inference(superposition,[status(thm)],[c_4027,c_50]) ).
cnf(c_4111,plain,
inverse(multiply(multiply(sP0_iProver_def,multiply(multiply(inverse(X0),X1),double_divide(X1,sP0_iProver_def))),X0)) = multiply(inverse(sP0_iProver_def),sP0_iProver_def),
inference(superposition,[status(thm)],[c_570,c_4091]) ).
cnf(c_4118,plain,
double_divide(sP0_iProver_def,inverse(sP0_iProver_def)) = multiply(inverse(sP0_iProver_def),sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_4111,c_1878,c_3720,c_4089]) ).
cnf(c_4217,plain,
multiply(sP0_iProver_def,double_divide(b3,a3)) = double_divide(sP0_iProver_def,inverse(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_4055,c_2770]) ).
cnf(c_4970,plain,
multiply(X0,double_divide(sP0_iProver_def,inverse(sP0_iProver_def))) = X0,
inference(light_normalisation,[status(thm)],[c_3733,c_4217]) ).
cnf(c_5000,plain,
double_divide(inverse(X0),multiply(inverse(sP0_iProver_def),sP0_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_4970,c_1089]) ).
cnf(c_5005,plain,
double_divide(inverse(X0),double_divide(sP0_iProver_def,inverse(sP0_iProver_def))) = X0,
inference(light_normalisation,[status(thm)],[c_5000,c_4118]) ).
cnf(c_5066,plain,
multiply(multiply(inverse(X0),X1),double_divide(X1,X2)) = double_divide(multiply(double_divide(sP0_iProver_def,inverse(sP0_iProver_def)),X0),X2),
inference(superposition,[status(thm)],[c_4029,c_120]) ).
cnf(c_6172,plain,
multiply(double_divide(sP0_iProver_def,inverse(sP0_iProver_def)),inverse(X0)) = inverse(X0),
inference(superposition,[status(thm)],[c_5005,c_50]) ).
cnf(c_6208,plain,
multiply(double_divide(sP0_iProver_def,inverse(sP0_iProver_def)),multiply(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_50,c_6172]) ).
cnf(c_6613,plain,
multiply(double_divide(sP0_iProver_def,inverse(sP0_iProver_def)),X0) = X0,
inference(superposition,[status(thm)],[c_4970,c_6208]) ).
cnf(c_7383,plain,
double_divide(multiply(multiply(sP1_iProver_def,double_divide(X0,X1)),X0),X1) = double_divide(c3,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_222,c_5066,c_6613]) ).
cnf(c_7386,plain,
double_divide(multiply(b3,c3),a3) = double_divide(c3,sP0_iProver_def),
inference(superposition,[status(thm)],[c_3502,c_7383]) ).
cnf(c_7442,plain,
double_divide(c3,sP0_iProver_def) = double_divide(sP2_iProver_def,a3),
inference(light_normalisation,[status(thm)],[c_7386,c_69]) ).
cnf(c_7457,plain,
inverse(double_divide(sP2_iProver_def,a3)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_498,c_7442]) ).
cnf(c_7458,plain,
sP1_iProver_def = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_499,c_7457]) ).
cnf(c_7459,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7458,c_71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP591-1 : TPTP v8.2.0. Released v2.6.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 11:52:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.46 Running UEQ theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.47/1.14 % SZS status Started for theBenchmark.p
% 0.47/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.14
% 0.47/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.47/1.14
% 0.47/1.14 ------ iProver source info
% 0.47/1.14
% 0.47/1.14 git: date: 2024-06-12 09:56:46 +0000
% 0.47/1.14 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 0.47/1.14 git: non_committed_changes: false
% 0.47/1.14
% 0.47/1.14 ------ Parsing...successful
% 0.47/1.14
% 0.47/1.14
% 0.47/1.14
% 0.47/1.14 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.47/1.14
% 0.47/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.47/1.14
% 0.47/1.14 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.47/1.14 ------ Proving...
% 0.47/1.14 ------ Problem Properties
% 0.47/1.14
% 0.47/1.14
% 0.47/1.14 clauses 7
% 0.47/1.14 conjectures 1
% 0.47/1.14 EPR 1
% 0.47/1.14 Horn 7
% 0.47/1.14 unary 7
% 0.47/1.14 binary 0
% 0.47/1.14 lits 7
% 0.47/1.14 lits eq 7
% 0.47/1.14 fd_pure 0
% 0.47/1.14 fd_pseudo 0
% 0.47/1.14 fd_cond 0
% 0.47/1.14 fd_pseudo_cond 0
% 0.47/1.14 AC symbols 0
% 0.47/1.14
% 0.47/1.14 ------ Input Options Time Limit: Unbounded
% 0.47/1.14
% 0.47/1.14
% 0.47/1.14 ------
% 0.47/1.14 Current options:
% 0.47/1.14 ------
% 0.47/1.14
% 0.47/1.14
% 0.47/1.14
% 0.47/1.14
% 0.47/1.14 ------ Proving...
% 0.47/1.14
% 0.47/1.14
% 0.47/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.14
% 0.47/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.15
% 0.47/1.16
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