TSTP Solution File: GRP582-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP582-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 02:22:59 EDT 2024
% Result : Unsatisfiable 3.60s 1.11s
% Output : CNFRefutation 3.60s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
double_divide(double_divide(X0,X1),identity) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,plain,
double_divide(X0,identity) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
cnf(c_52,plain,
double_divide(X0,inverse(X0)) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
cnf(c_53,negated_conjecture,
multiply(identity,a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(c_68,plain,
inverse(double_divide(X0,X1)) = multiply(X1,X0),
inference(demodulation,[status(thm)],[c_50,c_51]) ).
cnf(c_69,plain,
double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),inverse(identity)) = X2,
inference(demodulation,[status(thm)],[c_49,c_51]) ).
cnf(c_77,plain,
multiply(identity,a2) = sP0_iProver_def,
definition ).
cnf(c_78,negated_conjecture,
sP0_iProver_def != a2,
inference(demodulation,[status(thm)],[c_53,c_77]) ).
cnf(c_124,plain,
multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_51,c_68]) ).
cnf(c_125,plain,
multiply(inverse(X0),X0) = inverse(identity),
inference(superposition,[status(thm)],[c_52,c_68]) ).
cnf(c_130,plain,
multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_68,c_124]) ).
cnf(c_131,plain,
multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(superposition,[status(thm)],[c_124,c_124]) ).
cnf(c_133,plain,
double_divide(inverse(X0),multiply(identity,X0)) = identity,
inference(superposition,[status(thm)],[c_124,c_52]) ).
cnf(c_143,plain,
double_divide(inverse(a2),sP0_iProver_def) = identity,
inference(superposition,[status(thm)],[c_77,c_133]) ).
cnf(c_147,plain,
double_divide(double_divide(X0,double_divide(inverse(identity),double_divide(X1,double_divide(identity,X0)))),inverse(identity)) = X1,
inference(superposition,[status(thm)],[c_51,c_69]) ).
cnf(c_149,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X0),double_divide(X1,inverse(X0)))),inverse(identity)) = X1,
inference(superposition,[status(thm)],[c_51,c_69]) ).
cnf(c_150,plain,
double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X0),double_divide(X1,identity))),inverse(identity)) = X1,
inference(superposition,[status(thm)],[c_52,c_69]) ).
cnf(c_153,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))),double_divide(X3,X2))),inverse(identity)) = X3,
inference(superposition,[status(thm)],[c_69,c_69]) ).
cnf(c_167,plain,
double_divide(double_divide(sP0_iProver_def,double_divide(double_divide(identity,inverse(a2)),double_divide(X0,identity))),inverse(identity)) = X0,
inference(superposition,[status(thm)],[c_143,c_69]) ).
cnf(c_169,plain,
double_divide(double_divide(sP0_iProver_def,double_divide(double_divide(identity,inverse(a2)),inverse(X0))),inverse(identity)) = X0,
inference(light_normalisation,[status(thm)],[c_167,c_51]) ).
cnf(c_200,plain,
multiply(identity,inverse(a2)) = inverse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_77,c_131]) ).
cnf(c_305,plain,
double_divide(double_divide(sP0_iProver_def,identity),inverse(identity)) = double_divide(identity,inverse(a2)),
inference(superposition,[status(thm)],[c_52,c_169]) ).
cnf(c_342,plain,
double_divide(inverse(sP0_iProver_def),inverse(identity)) = double_divide(identity,inverse(a2)),
inference(demodulation,[status(thm)],[c_305,c_51]) ).
cnf(c_347,plain,
multiply(inverse(identity),inverse(sP0_iProver_def)) = inverse(double_divide(identity,inverse(a2))),
inference(superposition,[status(thm)],[c_342,c_68]) ).
cnf(c_365,plain,
multiply(inverse(identity),inverse(sP0_iProver_def)) = multiply(inverse(a2),identity),
inference(demodulation,[status(thm)],[c_347,c_68]) ).
cnf(c_370,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X0,inverse(identity)))),inverse(identity)) = X0,
inference(superposition,[status(thm)],[c_51,c_147]) ).
cnf(c_562,plain,
double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(double_divide(identity,double_divide(inverse(identity),X2)),inverse(identity)),
inference(superposition,[status(thm)],[c_69,c_370]) ).
cnf(c_740,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),inverse(identity)) = X0,
inference(superposition,[status(thm)],[c_52,c_149]) ).
cnf(c_779,plain,
double_divide(double_divide(identity,multiply(X0,identity)),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[c_740,c_51,c_68]) ).
cnf(c_780,plain,
double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = inverse(identity),
inference(superposition,[status(thm)],[c_125,c_779]) ).
cnf(c_834,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm)],[c_780,c_52]) ).
cnf(c_837,plain,
double_divide(double_divide(identity,multiply(X0,identity)),identity) = X0,
inference(demodulation,[status(thm)],[c_779,c_834]) ).
cnf(c_849,plain,
multiply(inverse(a2),identity) = multiply(identity,inverse(sP0_iProver_def)),
inference(demodulation,[status(thm)],[c_365,c_834]) ).
cnf(c_870,plain,
double_divide(identity,multiply(identity,identity)) = identity,
inference(superposition,[status(thm)],[c_834,c_133]) ).
cnf(c_872,plain,
double_divide(identity,identity) = identity,
inference(superposition,[status(thm)],[c_834,c_52]) ).
cnf(c_912,plain,
multiply(multiply(X0,identity),identity) = X0,
inference(demodulation,[status(thm)],[c_837,c_51,c_68]) ).
cnf(c_917,plain,
double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X0),double_divide(X1,identity))),identity) = X1,
inference(light_normalisation,[status(thm)],[c_150,c_834]) ).
cnf(c_918,plain,
multiply(double_divide(double_divide(identity,X0),inverse(X1)),inverse(X0)) = X1,
inference(demodulation,[status(thm)],[c_917,c_51,c_68]) ).
cnf(c_919,plain,
multiply(identity,inverse(X0)) = double_divide(identity,X0),
inference(superposition,[status(thm)],[c_52,c_918]) ).
cnf(c_922,plain,
multiply(double_divide(double_divide(identity,X0),identity),inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_834,c_918]) ).
cnf(c_926,plain,
multiply(double_divide(double_divide(identity,identity),inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_834,c_918]) ).
cnf(c_931,plain,
multiply(double_divide(identity,inverse(X0)),identity) = X0,
inference(light_normalisation,[status(thm)],[c_926,c_872]) ).
cnf(c_936,plain,
inverse(multiply(identity,X0)) = double_divide(identity,X0),
inference(demodulation,[status(thm)],[c_131,c_919]) ).
cnf(c_937,plain,
double_divide(identity,a2) = inverse(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_200,c_919]) ).
cnf(c_973,plain,
multiply(a2,identity) = inverse(inverse(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_937,c_68]) ).
cnf(c_1006,plain,
multiply(identity,sP0_iProver_def) = multiply(a2,identity),
inference(demodulation,[status(thm)],[c_973,c_124]) ).
cnf(c_1008,plain,
multiply(multiply(identity,sP0_iProver_def),identity) = a2,
inference(superposition,[status(thm)],[c_1006,c_912]) ).
cnf(c_1049,plain,
double_divide(identity,double_divide(X0,X1)) = multiply(identity,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_68,c_919]) ).
cnf(c_1069,plain,
double_divide(identity,inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_931,c_912]) ).
cnf(c_1142,plain,
double_divide(identity,double_divide(identity,X0)) = multiply(multiply(identity,X0),identity),
inference(superposition,[status(thm)],[c_936,c_1069]) ).
cnf(c_1145,plain,
multiply(inverse(X0),identity) = inverse(multiply(X0,identity)),
inference(superposition,[status(thm)],[c_1069,c_68]) ).
cnf(c_1150,plain,
double_divide(identity,double_divide(identity,sP0_iProver_def)) = a2,
inference(demodulation,[status(thm)],[c_1008,c_1142]) ).
cnf(c_1174,plain,
multiply(double_divide(identity,sP0_iProver_def),identity) = inverse(a2),
inference(superposition,[status(thm)],[c_1150,c_68]) ).
cnf(c_1207,plain,
multiply(inverse(a2),identity) = double_divide(identity,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_849,c_919]) ).
cnf(c_1277,plain,
double_divide(identity,multiply(inverse(X0),identity)) = multiply(multiply(X0,identity),identity),
inference(superposition,[status(thm)],[c_1145,c_1069]) ).
cnf(c_1293,plain,
double_divide(identity,multiply(inverse(X0),identity)) = X0,
inference(light_normalisation,[status(thm)],[c_1277,c_912]) ).
cnf(c_1327,plain,
double_divide(identity,double_divide(double_divide(X0,X1),identity)) = multiply(identity,inverse(multiply(X1,X0))),
inference(superposition,[status(thm)],[c_130,c_1049]) ).
cnf(c_1340,plain,
inverse(double_divide(identity,double_divide(X0,X1))) = double_divide(identity,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_1049,c_936]) ).
cnf(c_1381,plain,
double_divide(identity,multiply(multiply(X0,X1),identity)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_68,c_1293]) ).
cnf(c_1383,plain,
double_divide(identity,multiply(double_divide(identity,X0),identity)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_936,c_1293]) ).
cnf(c_1384,plain,
double_divide(identity,multiply(multiply(inverse(X0),identity),identity)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_1145,c_1293]) ).
cnf(c_1603,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,X0)),identity)),double_divide(X1,X0))),identity) = X1,
inference(light_normalisation,[status(thm)],[c_153,c_562,c_834]) ).
cnf(c_1604,plain,
double_divide(identity,multiply(double_divide(X0,X1),multiply(identity,X1))) = X0,
inference(demodulation,[status(thm)],[c_1603,c_51,c_919,c_1327,c_1340,c_1383]) ).
cnf(c_1620,plain,
double_divide(identity,multiply(double_divide(X0,a2),sP0_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_77,c_1604]) ).
cnf(c_1721,plain,
multiply(multiply(double_divide(X0,a2),sP0_iProver_def),identity) = inverse(X0),
inference(superposition,[status(thm)],[c_1620,c_68]) ).
cnf(c_1772,plain,
multiply(double_divide(X0,a2),sP0_iProver_def) = multiply(inverse(X0),identity),
inference(superposition,[status(thm)],[c_1721,c_912]) ).
cnf(c_2086,plain,
multiply(multiply(X0,identity),inverse(X0)) = identity,
inference(demodulation,[status(thm)],[c_922,c_51,c_68]) ).
cnf(c_2090,plain,
multiply(X0,inverse(multiply(X0,identity))) = identity,
inference(superposition,[status(thm)],[c_912,c_2086]) ).
cnf(c_2105,plain,
multiply(X0,multiply(inverse(X0),identity)) = identity,
inference(light_normalisation,[status(thm)],[c_2090,c_1145]) ).
cnf(c_2144,plain,
multiply(a2,double_divide(identity,sP0_iProver_def)) = identity,
inference(superposition,[status(thm)],[c_1207,c_2105]) ).
cnf(c_2199,plain,
double_divide(double_divide(identity,sP0_iProver_def),a2) = double_divide(identity,multiply(identity,identity)),
inference(superposition,[status(thm)],[c_2144,c_1381]) ).
cnf(c_2204,plain,
double_divide(double_divide(identity,sP0_iProver_def),a2) = identity,
inference(light_normalisation,[status(thm)],[c_2199,c_870]) ).
cnf(c_3853,plain,
double_divide(identity,multiply(multiply(inverse(X0),identity),identity)) = double_divide(sP0_iProver_def,double_divide(X0,a2)),
inference(superposition,[status(thm)],[c_1772,c_1381]) ).
cnf(c_3864,plain,
double_divide(sP0_iProver_def,double_divide(X0,a2)) = multiply(X0,identity),
inference(light_normalisation,[status(thm)],[c_3853,c_1384]) ).
cnf(c_3875,plain,
multiply(double_divide(identity,sP0_iProver_def),identity) = double_divide(sP0_iProver_def,identity),
inference(superposition,[status(thm)],[c_2204,c_3864]) ).
cnf(c_3886,plain,
double_divide(sP0_iProver_def,identity) = inverse(a2),
inference(light_normalisation,[status(thm)],[c_3875,c_1174]) ).
cnf(c_3896,plain,
inverse(a2) = inverse(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_3886,c_51]) ).
cnf(c_3916,plain,
double_divide(identity,inverse(sP0_iProver_def)) = multiply(a2,identity),
inference(superposition,[status(thm)],[c_3896,c_1069]) ).
cnf(c_3921,plain,
multiply(identity,a2) = inverse(inverse(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_3896,c_124]) ).
cnf(c_3924,plain,
inverse(inverse(sP0_iProver_def)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_3921,c_77,c_973]) ).
cnf(c_3928,plain,
double_divide(identity,inverse(sP0_iProver_def)) = multiply(identity,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_3916,c_1006]) ).
cnf(c_3934,plain,
multiply(identity,sP0_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_3924,c_124]) ).
cnf(c_3943,plain,
double_divide(identity,sP0_iProver_def) = inverse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_3934,c_936]) ).
cnf(c_3954,plain,
double_divide(identity,inverse(sP0_iProver_def)) = a2,
inference(demodulation,[status(thm)],[c_1150,c_3943]) ).
cnf(c_3955,plain,
a2 = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_3954,c_3928,c_3934]) ).
cnf(c_3963,plain,
sP0_iProver_def != sP0_iProver_def,
inference(demodulation,[status(thm)],[c_78,c_3955]) ).
cnf(c_3964,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_3963]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP582-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n021.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % 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 May 2 23:47:58 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.44 Running UEQ theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.60/1.11 % SZS status Started for theBenchmark.p
% 3.60/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 3.60/1.11
% 3.60/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.60/1.11
% 3.60/1.11 ------ iProver source info
% 3.60/1.11
% 3.60/1.11 git: date: 2024-05-02 19:28:25 +0000
% 3.60/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.60/1.11 git: non_committed_changes: false
% 3.60/1.11
% 3.60/1.11 ------ Parsing...successful
% 3.60/1.11
% 3.60/1.11
% 3.60/1.11
% 3.60/1.11 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.60/1.11
% 3.60/1.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.60/1.11
% 3.60/1.11 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.60/1.11 ------ Proving...
% 3.60/1.11 ------ Problem Properties
% 3.60/1.11
% 3.60/1.11
% 3.60/1.11 clauses 6
% 3.60/1.11 conjectures 1
% 3.60/1.11 EPR 1
% 3.60/1.11 Horn 6
% 3.60/1.11 unary 6
% 3.60/1.11 binary 0
% 3.60/1.11 lits 6
% 3.60/1.11 lits eq 6
% 3.60/1.11 fd_pure 0
% 3.60/1.11 fd_pseudo 0
% 3.60/1.11 fd_cond 0
% 3.60/1.11 fd_pseudo_cond 0
% 3.60/1.11 AC symbols 0
% 3.60/1.11
% 3.60/1.11 ------ Input Options Time Limit: Unbounded
% 3.60/1.11
% 3.60/1.11
% 3.60/1.11 ------
% 3.60/1.11 Current options:
% 3.60/1.11 ------
% 3.60/1.11
% 3.60/1.11
% 3.60/1.11
% 3.60/1.11
% 3.60/1.11 ------ Proving...
% 3.60/1.11
% 3.60/1.11
% 3.60/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 3.60/1.11
% 3.60/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.60/1.11
% 3.60/1.11
%------------------------------------------------------------------------------