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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP497-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 07:00:28 EDT 2024

% Result   : Unsatisfiable 1.68s 1.01s
% Output   : CNFRefutation 1.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   50 (  50 unt;   0 nHn;   3 RR)
%            Number of literals    :   50 (  49 equ;   1 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   :   72 (   0 sgn)

% 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/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(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_120,plain,
    multiply(identity,X0) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_51,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_126,plain,
    multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
    inference(superposition,[status(thm)],[c_68,c_120]) ).

cnf(c_127,plain,
    multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
    inference(superposition,[status(thm)],[c_120,c_120]) ).

cnf(c_154,plain,
    double_divide(double_divide(identity,identity),multiply(double_divide(X0,X1),X1)) = X0,
    inference(superposition,[status(thm)],[c_52,c_69]) ).

cnf(c_157,plain,
    double_divide(double_divide(identity,double_divide(identity,inverse(X0))),multiply(inverse(X1),X0)) = X1,
    inference(superposition,[status(thm)],[c_51,c_69]) ).

cnf(c_158,plain,
    double_divide(double_divide(identity,double_divide(inverse(X0),inverse(X1))),multiply(identity,X1)) = X0,
    inference(superposition,[status(thm)],[c_52,c_69]) ).

cnf(c_165,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_69,c_122]) ).

cnf(c_342,plain,
    double_divide(identity,multiply(double_divide(X0,X1),X1)) = X0,
    inference(demodulation,[status(thm)],[c_154,c_51,c_165]) ).

cnf(c_343,plain,
    double_divide(identity,multiply(inverse(X0),identity)) = X0,
    inference(superposition,[status(thm)],[c_51,c_342]) ).

cnf(c_344,plain,
    double_divide(identity,multiply(identity,inverse(X0))) = X0,
    inference(superposition,[status(thm)],[c_52,c_342]) ).

cnf(c_355,plain,
    multiply(multiply(double_divide(X0,X1),X1),identity) = inverse(X0),
    inference(superposition,[status(thm)],[c_342,c_68]) ).

cnf(c_390,plain,
    double_divide(identity,multiply(multiply(X0,X1),identity)) = double_divide(X1,X0),
    inference(superposition,[status(thm)],[c_68,c_343]) ).

cnf(c_398,plain,
    multiply(multiply(inverse(X0),identity),identity) = inverse(X0),
    inference(superposition,[status(thm)],[c_343,c_68]) ).

cnf(c_449,plain,
    multiply(multiply(identity,inverse(X0)),identity) = inverse(X0),
    inference(superposition,[status(thm)],[c_344,c_68]) ).

cnf(c_483,plain,
    multiply(multiply(multiply(X0,X1),identity),identity) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_68,c_398]) ).

cnf(c_929,plain,
    double_divide(X0,double_divide(X1,X0)) = double_divide(identity,inverse(X1)),
    inference(superposition,[status(thm)],[c_355,c_390]) ).

cnf(c_930,plain,
    double_divide(inverse(X0),identity) = double_divide(identity,inverse(X0)),
    inference(superposition,[status(thm)],[c_449,c_390]) ).

cnf(c_1018,plain,
    multiply(inverse(X0),identity) = multiply(identity,inverse(X0)),
    inference(superposition,[status(thm)],[c_449,c_483]) ).

cnf(c_1245,plain,
    double_divide(identity,inverse(X0)) = multiply(identity,X0),
    inference(demodulation,[status(thm)],[c_930,c_51,c_120]) ).

cnf(c_1250,plain,
    double_divide(identity,multiply(X0,X1)) = multiply(identity,double_divide(X1,X0)),
    inference(superposition,[status(thm)],[c_68,c_1245]) ).

cnf(c_1252,plain,
    double_divide(identity,multiply(identity,inverse(X0))) = multiply(identity,multiply(identity,X0)),
    inference(superposition,[status(thm)],[c_127,c_1245]) ).

cnf(c_1267,plain,
    multiply(identity,multiply(identity,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1252,c_344]) ).

cnf(c_1343,plain,
    double_divide(X0,double_divide(X1,X0)) = multiply(identity,X1),
    inference(demodulation,[status(thm)],[c_929,c_1245]) ).

cnf(c_1577,plain,
    double_divide(identity,multiply(X0,X1)) = inverse(multiply(X0,X1)),
    inference(demodulation,[status(thm)],[c_1250,c_126]) ).

cnf(c_1584,plain,
    double_divide(identity,X0) = inverse(X0),
    inference(superposition,[status(thm)],[c_1267,c_1577]) ).

cnf(c_1608,plain,
    double_divide(multiply(identity,inverse(X0)),multiply(inverse(X1),X0)) = X1,
    inference(demodulation,[status(thm)],[c_157,c_68,c_1018,c_1584]) ).

cnf(c_1611,plain,
    double_divide(multiply(identity,multiply(identity,X0)),multiply(inverse(X1),inverse(X0))) = X1,
    inference(superposition,[status(thm)],[c_120,c_1608]) ).

cnf(c_1629,plain,
    double_divide(X0,multiply(inverse(X1),inverse(X0))) = X1,
    inference(light_normalisation,[status(thm)],[c_1611,c_1267]) ).

cnf(c_1675,plain,
    multiply(identity,inverse(X0)) = inverse(multiply(X0,identity)),
    inference(superposition,[status(thm)],[c_1584,c_126]) ).

cnf(c_1677,plain,
    multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_1584,c_68]) ).

cnf(c_1730,plain,
    multiply(X0,identity) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1677,c_120]) ).

cnf(c_1745,plain,
    multiply(identity,multiply(X0,identity)) = X0,
    inference(superposition,[status(thm)],[c_1730,c_1267]) ).

cnf(c_2034,plain,
    double_divide(X0,multiply(identity,inverse(X0))) = identity,
    inference(superposition,[status(thm)],[c_165,c_1629]) ).

cnf(c_2044,plain,
    double_divide(multiply(inverse(X0),inverse(X1)),X0) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_1629,c_1343]) ).

cnf(c_2108,plain,
    double_divide(inverse(X0),multiply(identity,multiply(identity,X0))) = identity,
    inference(superposition,[status(thm)],[c_120,c_2034]) ).

cnf(c_2119,plain,
    double_divide(inverse(X0),X0) = identity,
    inference(light_normalisation,[status(thm)],[c_2108,c_1267]) ).

cnf(c_2164,plain,
    multiply(identity,inverse(X0)) = double_divide(X0,identity),
    inference(superposition,[status(thm)],[c_2119,c_1343]) ).

cnf(c_2172,plain,
    multiply(identity,inverse(X0)) = inverse(X0),
    inference(light_normalisation,[status(thm)],[c_2164,c_51]) ).

cnf(c_2239,plain,
    double_divide(multiply(inverse(X0),inverse(X1)),multiply(identity,X0)) = X1,
    inference(demodulation,[status(thm)],[c_158,c_68,c_1584]) ).

cnf(c_2254,plain,
    double_divide(multiply(inverse(multiply(X0,identity)),inverse(X1)),X0) = X1,
    inference(superposition,[status(thm)],[c_1745,c_2239]) ).

cnf(c_2265,plain,
    multiply(identity,X0) = X0,
    inference(light_normalisation,[status(thm)],[c_2254,c_1675,c_2044,c_2172]) ).

cnf(c_2270,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_53,c_2265]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09  % Problem  : GRP497-1 : TPTP v8.2.0. Released v2.6.0.
% 0.03/0.09  % Command  : run_iprover %s %d THM
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Thu Jun 20 12:21:39 EDT 2024
% 0.09/0.28  % CPUTime  : 
% 0.14/0.37  Running UEQ theorem proving
% 0.14/0.37  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
% 1.68/1.01  % SZS status Started for theBenchmark.p
% 1.68/1.01  % SZS status Unsatisfiable for theBenchmark.p
% 1.68/1.01  
% 1.68/1.01  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.68/1.01  
% 1.68/1.01  ------  iProver source info
% 1.68/1.01  
% 1.68/1.01  git: date: 2024-06-12 09:56:46 +0000
% 1.68/1.01  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 1.68/1.01  git: non_committed_changes: false
% 1.68/1.01  
% 1.68/1.01  ------ Parsing...successful
% 1.68/1.01  
% 1.68/1.01  
% 1.68/1.01  
% 1.68/1.01  ------ Preprocessing... sup_sim: 2  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.68/1.01  
% 1.68/1.01  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.68/1.01  
% 1.68/1.01  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 1.68/1.01  ------ Proving...
% 1.68/1.01  ------ Problem Properties 
% 1.68/1.01  
% 1.68/1.01  
% 1.68/1.01  clauses                                 5
% 1.68/1.01  conjectures                             1
% 1.68/1.01  EPR                                     0
% 1.68/1.01  Horn                                    5
% 1.68/1.01  unary                                   5
% 1.68/1.01  binary                                  0
% 1.68/1.01  lits                                    5
% 1.68/1.01  lits eq                                 5
% 1.68/1.01  fd_pure                                 0
% 1.68/1.01  fd_pseudo                               0
% 1.68/1.01  fd_cond                                 0
% 1.68/1.01  fd_pseudo_cond                          0
% 1.68/1.01  AC symbols                              0
% 1.68/1.01  
% 1.68/1.01  ------ Input Options Time Limit: Unbounded
% 1.68/1.01  
% 1.68/1.01  
% 1.68/1.01  ------ 
% 1.68/1.01  Current options:
% 1.68/1.01  ------ 
% 1.68/1.01  
% 1.68/1.01  
% 1.68/1.01  
% 1.68/1.01  
% 1.68/1.01  ------ Proving...
% 1.68/1.01  
% 1.68/1.01  
% 1.68/1.01  % SZS status Unsatisfiable for theBenchmark.p
% 1.68/1.01  
% 1.68/1.01  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.68/1.01  
% 1.68/1.01  
%------------------------------------------------------------------------------