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  
%------------------------------------------------------------------------------