TSTP Solution File: GRP497-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP497-1 : TPTP v8.1.2. 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 : Fri May  3 02:22:45 EDT 2024

% Result   : Unsatisfiable 3.31s 1.13s
% Output   : CNFRefutation 3.31s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,double_divide(X2,X0)),identity)) = X2,
    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(identity,double_divide(X0,inverse(X1))),multiply(double_divide(X2,X0),X1)) = X2,
    inference(demodulation,[status(thm)],[c_49,c_51,c_68]) ).

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_126,plain,
    double_divide(double_divide(X0,X1),multiply(X1,X0)) = identity,
    inference(superposition,[status(thm)],[c_68,c_52]) ).

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(identity,identity),multiply(double_divide(X0,X1),X1)) = X0,
    inference(superposition,[status(thm)],[c_52,c_69]) ).

cnf(c_187,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_126,c_69]) ).

cnf(c_197,plain,
    multiply(inverse(X0),X0) = identity,
    inference(demodulation,[status(thm)],[c_125,c_187]) ).

cnf(c_210,plain,
    double_divide(identity,identity) = identity,
    inference(superposition,[status(thm)],[c_187,c_52]) ).

cnf(c_251,plain,
    multiply(identity,inverse(a2)) = inverse(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_77,c_131]) ).

cnf(c_389,plain,
    double_divide(identity,multiply(double_divide(X0,X1),X1)) = X0,
    inference(light_normalisation,[status(thm)],[c_147,c_210]) ).

cnf(c_390,plain,
    double_divide(identity,multiply(inverse(X0),identity)) = X0,
    inference(superposition,[status(thm)],[c_51,c_389]) ).

cnf(c_391,plain,
    double_divide(identity,multiply(identity,inverse(X0))) = X0,
    inference(superposition,[status(thm)],[c_52,c_389]) ).

cnf(c_396,plain,
    double_divide(identity,multiply(identity,sP0_iProver_def)) = inverse(a2),
    inference(superposition,[status(thm)],[c_143,c_389]) ).

cnf(c_403,plain,
    multiply(multiply(double_divide(X0,X1),X1),identity) = inverse(X0),
    inference(superposition,[status(thm)],[c_389,c_68]) ).

cnf(c_436,plain,
    double_divide(identity,multiply(multiply(X0,X1),identity)) = double_divide(X1,X0),
    inference(superposition,[status(thm)],[c_68,c_390]) ).

cnf(c_480,plain,
    double_divide(identity,inverse(sP0_iProver_def)) = a2,
    inference(superposition,[status(thm)],[c_251,c_391]) ).

cnf(c_511,plain,
    multiply(inverse(sP0_iProver_def),identity) = inverse(a2),
    inference(superposition,[status(thm)],[c_480,c_68]) ).

cnf(c_542,plain,
    double_divide(identity,inverse(a2)) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_511,c_390]) ).

cnf(c_554,plain,
    double_divide(double_divide(identity,sP0_iProver_def),multiply(double_divide(X0,identity),a2)) = X0,
    inference(superposition,[status(thm)],[c_542,c_69]) ).

cnf(c_556,plain,
    double_divide(double_divide(identity,sP0_iProver_def),multiply(inverse(X0),a2)) = X0,
    inference(light_normalisation,[status(thm)],[c_554,c_51]) ).

cnf(c_864,plain,
    multiply(multiply(identity,sP0_iProver_def),identity) = inverse(inverse(a2)),
    inference(superposition,[status(thm)],[c_143,c_403]) ).

cnf(c_1010,plain,
    multiply(multiply(identity,sP0_iProver_def),identity) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_864,c_77,c_124]) ).

cnf(c_1356,plain,
    double_divide(double_divide(identity,sP0_iProver_def),identity) = a2,
    inference(superposition,[status(thm)],[c_197,c_556]) ).

cnf(c_1357,plain,
    double_divide(double_divide(identity,sP0_iProver_def),multiply(identity,a2)) = identity,
    inference(superposition,[status(thm)],[c_187,c_556]) ).

cnf(c_1372,plain,
    double_divide(double_divide(identity,sP0_iProver_def),sP0_iProver_def) = identity,
    inference(light_normalisation,[status(thm)],[c_1357,c_77]) ).

cnf(c_1429,plain,
    double_divide(identity,sP0_iProver_def) = double_divide(sP0_iProver_def,identity),
    inference(superposition,[status(thm)],[c_1010,c_436]) ).

cnf(c_1599,plain,
    double_divide(double_divide(sP0_iProver_def,identity),identity) = a2,
    inference(light_normalisation,[status(thm)],[c_1356,c_1429]) ).

cnf(c_1600,plain,
    multiply(identity,sP0_iProver_def) = a2,
    inference(demodulation,[status(thm)],[c_1599,c_51,c_68]) ).

cnf(c_1602,plain,
    double_divide(identity,a2) = inverse(a2),
    inference(demodulation,[status(thm)],[c_396,c_1600]) ).

cnf(c_1683,plain,
    double_divide(double_divide(sP0_iProver_def,identity),sP0_iProver_def) = identity,
    inference(light_normalisation,[status(thm)],[c_1372,c_1429]) ).

cnf(c_1684,plain,
    double_divide(inverse(sP0_iProver_def),sP0_iProver_def) = identity,
    inference(demodulation,[status(thm)],[c_1683,c_51]) ).

cnf(c_1689,plain,
    double_divide(identity,multiply(identity,sP0_iProver_def)) = inverse(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_1684,c_389]) ).

cnf(c_1696,plain,
    inverse(a2) = inverse(sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_1689,c_1600,c_1602]) ).

cnf(c_1701,plain,
    double_divide(identity,inverse(sP0_iProver_def)) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_542,c_1696]) ).

cnf(c_1707,plain,
    a2 = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_1701,c_480]) ).

cnf(c_1714,plain,
    sP0_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_78,c_1707]) ).

cnf(c_1715,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_1714]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GRP497-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.12  % 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 May  2 23:31:51 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  Running UEQ theorem proving
% 0.18/0.45  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
% 3.31/1.13  % SZS status Started for theBenchmark.p
% 3.31/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.31/1.13  
% 3.31/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.31/1.13  
% 3.31/1.13  ------  iProver source info
% 3.31/1.13  
% 3.31/1.13  git: date: 2024-05-02 19:28:25 +0000
% 3.31/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.31/1.13  git: non_committed_changes: false
% 3.31/1.13  
% 3.31/1.13  ------ Parsing...successful
% 3.31/1.13  
% 3.31/1.13  
% 3.31/1.13  
% 3.31/1.13  ------ Preprocessing... sup_sim: 2  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.31/1.13  
% 3.31/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.31/1.13  
% 3.31/1.13  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.31/1.13  ------ Proving...
% 3.31/1.13  ------ Problem Properties 
% 3.31/1.13  
% 3.31/1.13  
% 3.31/1.13  clauses                                 6
% 3.31/1.13  conjectures                             1
% 3.31/1.13  EPR                                     1
% 3.31/1.13  Horn                                    6
% 3.31/1.13  unary                                   6
% 3.31/1.13  binary                                  0
% 3.31/1.13  lits                                    6
% 3.31/1.13  lits eq                                 6
% 3.31/1.13  fd_pure                                 0
% 3.31/1.13  fd_pseudo                               0
% 3.31/1.13  fd_cond                                 0
% 3.31/1.13  fd_pseudo_cond                          0
% 3.31/1.13  AC symbols                              0
% 3.31/1.13  
% 3.31/1.13  ------ Input Options Time Limit: Unbounded
% 3.31/1.13  
% 3.31/1.13  
% 3.31/1.13  ------ 
% 3.31/1.13  Current options:
% 3.31/1.13  ------ 
% 3.31/1.13  
% 3.31/1.13  
% 3.31/1.13  
% 3.31/1.13  
% 3.31/1.13  ------ Proving...
% 3.31/1.13  
% 3.31/1.13  
% 3.31/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.31/1.13  
% 3.31/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.31/1.13  
% 3.31/1.13  
%------------------------------------------------------------------------------