TSTP Solution File: GRP493-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP493-1 : TPTP v8.2.0. Released v2.6.0.
% 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 07:00:27 EDT 2024
% Result : Unsatisfiable 1.25s 1.13s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of clauses : 30 ( 30 unt; 0 nHn; 10 RR)
% Number of literals : 30 ( 29 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),double_divide(identity,identity)),double_divide(X0,X2))) = X1,
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(inverse(a1),a1) != identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
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(identity,X0),double_divide(double_divide(double_divide(X1,X2),inverse(identity)),double_divide(X0,X2))) = X1,
inference(demodulation,[status(thm)],[c_49,c_51]) ).
cnf(c_120,plain,
multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_51,c_68]) ).
cnf(c_121,plain,
multiply(inverse(X0),X0) = inverse(identity),
inference(superposition,[status(thm)],[c_52,c_68]) ).
cnf(c_122,plain,
double_divide(double_divide(X0,X1),multiply(X1,X0)) = identity,
inference(superposition,[status(thm)],[c_68,c_52]) ).
cnf(c_123,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm)],[c_53,c_121]) ).
cnf(c_141,plain,
double_divide(inverse(identity),double_divide(double_divide(double_divide(X0,X1),inverse(identity)),double_divide(identity,X1))) = X0,
inference(superposition,[status(thm)],[c_51,c_69]) ).
cnf(c_143,plain,
double_divide(double_divide(identity,X0),double_divide(double_divide(inverse(X1),inverse(identity)),double_divide(X0,identity))) = X1,
inference(superposition,[status(thm)],[c_51,c_69]) ).
cnf(c_155,plain,
double_divide(double_divide(identity,X0),double_divide(double_divide(inverse(X1),inverse(identity)),inverse(X0))) = X1,
inference(light_normalisation,[status(thm)],[c_143,c_51]) ).
cnf(c_194,plain,
double_divide(identity,double_divide(double_divide(inverse(X0),inverse(identity)),inverse(inverse(identity)))) = X0,
inference(superposition,[status(thm)],[c_52,c_155]) ).
cnf(c_195,plain,
double_divide(double_divide(identity,double_divide(inverse(X0),inverse(identity))),identity) = X0,
inference(superposition,[status(thm)],[c_52,c_155]) ).
cnf(c_225,plain,
multiply(double_divide(inverse(X0),inverse(identity)),identity) = X0,
inference(demodulation,[status(thm)],[c_195,c_51,c_68]) ).
cnf(c_226,plain,
multiply(double_divide(multiply(X0,X1),inverse(identity)),identity) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_68,c_225]) ).
cnf(c_228,plain,
double_divide(double_divide(identity,double_divide(inverse(X0),inverse(identity))),X0) = identity,
inference(superposition,[status(thm)],[c_225,c_122]) ).
cnf(c_240,plain,
double_divide(identity,double_divide(inverse(X0),inverse(identity))) = multiply(double_divide(X0,inverse(identity)),identity),
inference(superposition,[status(thm)],[c_225,c_226]) ).
cnf(c_271,plain,
double_divide(multiply(double_divide(X0,inverse(identity)),identity),X0) = identity,
inference(light_normalisation,[status(thm)],[c_228,c_240]) ).
cnf(c_275,plain,
double_divide(multiply(identity,identity),identity) = identity,
inference(superposition,[status(thm)],[c_52,c_271]) ).
cnf(c_318,plain,
inverse(inverse(inverse(identity))) = identity,
inference(demodulation,[status(thm)],[c_275,c_51,c_120]) ).
cnf(c_428,plain,
double_divide(inverse(identity),double_divide(double_divide(X0,inverse(identity)),X0)) = identity,
inference(superposition,[status(thm)],[c_194,c_141]) ).
cnf(c_481,plain,
double_divide(inverse(identity),double_divide(identity,identity)) = identity,
inference(superposition,[status(thm)],[c_52,c_428]) ).
cnf(c_533,plain,
double_divide(inverse(identity),inverse(identity)) = identity,
inference(demodulation,[status(thm)],[c_481,c_51]) ).
cnf(c_542,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_533,c_225]) ).
cnf(c_570,plain,
inverse(inverse(identity)) = identity,
inference(demodulation,[status(thm)],[c_542,c_120]) ).
cnf(c_572,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm)],[c_318,c_570]) ).
cnf(c_573,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_572,c_123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP493-1 : TPTP v8.2.0. Released v2.6.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n025.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 13:24:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.46 Running UEQ theorem proving
% 0.20/0.46 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
% 1.25/1.13 % SZS status Started for theBenchmark.p
% 1.25/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.13
% 1.25/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.25/1.13
% 1.25/1.13 ------ iProver source info
% 1.25/1.13
% 1.25/1.13 git: date: 2024-06-12 09:56:46 +0000
% 1.25/1.13 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 1.25/1.13 git: non_committed_changes: false
% 1.25/1.13
% 1.25/1.13 ------ Parsing...successful
% 1.25/1.13
% 1.25/1.13
% 1.25/1.13
% 1.25/1.13 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e
% 1.25/1.13
% 1.25/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.25/1.13
% 1.25/1.13 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.25/1.13 ------ Proving...
% 1.25/1.13 ------ Problem Properties
% 1.25/1.13
% 1.25/1.13
% 1.25/1.13 clauses 5
% 1.25/1.13 conjectures 1
% 1.25/1.13 EPR 0
% 1.25/1.13 Horn 5
% 1.25/1.13 unary 5
% 1.25/1.13 binary 0
% 1.25/1.13 lits 5
% 1.25/1.13 lits eq 5
% 1.25/1.13 fd_pure 0
% 1.25/1.13 fd_pseudo 0
% 1.25/1.13 fd_cond 0
% 1.25/1.13 fd_pseudo_cond 0
% 1.25/1.13 AC symbols 0
% 1.25/1.13
% 1.25/1.13 ------ Input Options Time Limit: Unbounded
% 1.25/1.13
% 1.25/1.13
% 1.25/1.13 ------
% 1.25/1.13 Current options:
% 1.25/1.13 ------
% 1.25/1.13
% 1.25/1.13
% 1.25/1.13
% 1.25/1.13
% 1.25/1.13 ------ Proving...
% 1.25/1.13
% 1.25/1.13
% 1.25/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.13
% 1.25/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.25/1.13
% 1.25/1.13
%------------------------------------------------------------------------------