TSTP Solution File: GRP570-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP570-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n004.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 02:22:57 EDT 2024

% Result   : Unsatisfiable 3.40s 1.17s
% Output   : CNFRefutation 3.40s
% 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(X1,double_divide(X0,X2)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

cnf(c_50,plain,
    double_divide(double_divide(X0,X1),identity) = multiply(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

cnf(c_51,plain,
    double_divide(X0,identity) = inverse(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).

cnf(c_52,plain,
    double_divide(X0,inverse(X0)) = identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).

cnf(c_53,negated_conjecture,
    multiply(identity,a2) != a2,
    file('/export/starexec/sandbox/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(X1,double_divide(X0,X2)),inverse(X2))),inverse(identity)) = X1,
    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_133,plain,
    double_divide(inverse(X0),multiply(identity,X0)) = identity,
    inference(superposition,[status(thm)],[c_124,c_52]) ).

cnf(c_142,plain,
    double_divide(multiply(identity,X0),multiply(identity,inverse(X0))) = identity,
    inference(superposition,[status(thm)],[c_124,c_133]) ).

cnf(c_147,plain,
    double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))),inverse(identity)) = X1,
    inference(superposition,[status(thm)],[c_51,c_69]) ).

cnf(c_148,plain,
    double_divide(double_divide(X0,double_divide(double_divide(X1,identity),inverse(inverse(X0)))),inverse(identity)) = X1,
    inference(superposition,[status(thm)],[c_52,c_69]) ).

cnf(c_155,plain,
    double_divide(double_divide(X0,double_divide(double_divide(X1,identity),multiply(identity,X0))),inverse(identity)) = X1,
    inference(light_normalisation,[status(thm)],[c_148,c_124]) ).

cnf(c_346,plain,
    double_divide(double_divide(X0,double_divide(identity,inverse(identity))),inverse(identity)) = X0,
    inference(superposition,[status(thm)],[c_52,c_147]) ).

cnf(c_395,plain,
    double_divide(inverse(X0),inverse(identity)) = X0,
    inference(demodulation,[status(thm)],[c_346,c_51,c_52]) ).

cnf(c_403,plain,
    double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity)) = inverse(X0),
    inference(superposition,[status(thm)],[c_395,c_147]) ).

cnf(c_630,plain,
    double_divide(double_divide(X0,double_divide(inverse(X1),multiply(identity,X0))),inverse(identity)) = X1,
    inference(demodulation,[status(thm)],[c_155,c_51]) ).

cnf(c_642,plain,
    double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity)) = double_divide(X1,double_divide(inverse(X0),multiply(identity,X1))),
    inference(superposition,[status(thm)],[c_630,c_147]) ).

cnf(c_644,plain,
    double_divide(X0,double_divide(inverse(X1),multiply(identity,X0))) = inverse(X1),
    inference(light_normalisation,[status(thm)],[c_642,c_403]) ).

cnf(c_821,plain,
    double_divide(X0,double_divide(multiply(X1,X2),multiply(identity,X0))) = multiply(X1,X2),
    inference(superposition,[status(thm)],[c_68,c_644]) ).

cnf(c_1046,plain,
    double_divide(inverse(X0),identity) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_142,c_821]) ).

cnf(c_1229,plain,
    inverse(double_divide(X0,inverse(identity))) = X0,
    inference(superposition,[status(thm)],[c_403,c_147]) ).

cnf(c_1251,plain,
    multiply(inverse(identity),X0) = X0,
    inference(demodulation,[status(thm)],[c_1229,c_68]) ).

cnf(c_1260,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_1251,c_125]) ).

cnf(c_1266,plain,
    double_divide(inverse(X0),identity) = X0,
    inference(demodulation,[status(thm)],[c_395,c_1260]) ).

cnf(c_1272,plain,
    multiply(identity,X0) = X0,
    inference(light_normalisation,[status(thm)],[c_1266,c_1046]) ).

cnf(c_1285,plain,
    a2 = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_77,c_1272]) ).

cnf(c_1294,plain,
    sP0_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_78,c_1285]) ).

cnf(c_1295,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_1294]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GRP570-1 : TPTP v8.1.2. Released v2.6.0.
% 0.04/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n004.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 23:46:48 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  Running UEQ theorem proving
% 0.20/0.47  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
% 3.40/1.17  % SZS status Started for theBenchmark.p
% 3.40/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.40/1.17  
% 3.40/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.40/1.17  
% 3.40/1.17  ------  iProver source info
% 3.40/1.17  
% 3.40/1.17  git: date: 2024-05-02 19:28:25 +0000
% 3.40/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.40/1.17  git: non_committed_changes: false
% 3.40/1.17  
% 3.40/1.17  ------ Parsing...successful
% 3.40/1.17  
% 3.40/1.17  
% 3.40/1.17  
% 3.40/1.17  ------ Preprocessing... sup_sim: 2  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.40/1.17  
% 3.40/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.40/1.17  
% 3.40/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.40/1.17  ------ Proving...
% 3.40/1.17  ------ Problem Properties 
% 3.40/1.17  
% 3.40/1.17  
% 3.40/1.17  clauses                                 6
% 3.40/1.17  conjectures                             1
% 3.40/1.17  EPR                                     1
% 3.40/1.17  Horn                                    6
% 3.40/1.17  unary                                   6
% 3.40/1.17  binary                                  0
% 3.40/1.17  lits                                    6
% 3.40/1.17  lits eq                                 6
% 3.40/1.17  fd_pure                                 0
% 3.40/1.17  fd_pseudo                               0
% 3.40/1.17  fd_cond                                 0
% 3.40/1.17  fd_pseudo_cond                          0
% 3.40/1.17  AC symbols                              0
% 3.40/1.17  
% 3.40/1.17  ------ Input Options Time Limit: Unbounded
% 3.40/1.17  
% 3.40/1.17  
% 3.40/1.17  ------ 
% 3.40/1.17  Current options:
% 3.40/1.17  ------ 
% 3.40/1.17  
% 3.40/1.17  
% 3.40/1.17  
% 3.40/1.17  
% 3.40/1.17  ------ Proving...
% 3.40/1.17  
% 3.40/1.17  
% 3.40/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.40/1.17  
% 3.40/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.40/1.17  
% 3.40/1.17  
%------------------------------------------------------------------------------