TSTP Solution File: GRP586-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP586-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 07:00:52 EDT 2024

% Result   : Unsatisfiable 0.47s 1.14s
% Output   : CNFRefutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   31 (  31 unt;   0 nHn;   3 RR)
%            Number of literals    :   31 (  30 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   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   :   73 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1))) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

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

cnf(c_51,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).

cnf(c_60,plain,
    double_divide(X0,multiply(X1,multiply(inverse(X2),double_divide(X0,X1)))) = X2,
    inference(demodulation,[status(thm)],[c_49,c_50]) ).

cnf(c_104,plain,
    double_divide(X0,multiply(X1,multiply(multiply(X2,X3),double_divide(X0,X1)))) = double_divide(X3,X2),
    inference(superposition,[status(thm)],[c_50,c_60]) ).

cnf(c_105,plain,
    double_divide(X0,multiply(multiply(X1,multiply(inverse(X2),double_divide(X0,X1))),multiply(inverse(X3),X2))) = X3,
    inference(superposition,[status(thm)],[c_60,c_60]) ).

cnf(c_107,plain,
    multiply(multiply(X0,multiply(inverse(X1),double_divide(X2,X0))),X2) = inverse(X1),
    inference(superposition,[status(thm)],[c_60,c_50]) ).

cnf(c_115,plain,
    double_divide(multiply(inverse(X0),double_divide(double_divide(X1,X2),X3)),X3) = double_divide(X1,multiply(X2,inverse(X0))),
    inference(superposition,[status(thm)],[c_107,c_104]) ).

cnf(c_154,plain,
    double_divide(multiply(inverse(X0),X1),inverse(X1)) = X0,
    inference(superposition,[status(thm)],[c_107,c_105]) ).

cnf(c_178,plain,
    double_divide(multiply(multiply(X0,X1),X2),inverse(X2)) = double_divide(X1,X0),
    inference(superposition,[status(thm)],[c_50,c_154]) ).

cnf(c_183,plain,
    multiply(inverse(X0),multiply(inverse(X1),X0)) = inverse(X1),
    inference(superposition,[status(thm)],[c_154,c_50]) ).

cnf(c_261,plain,
    multiply(inverse(X0),multiply(multiply(X1,X2),X0)) = multiply(X1,X2),
    inference(superposition,[status(thm)],[c_50,c_183]) ).

cnf(c_266,plain,
    double_divide(inverse(X0),inverse(multiply(inverse(X0),X1))) = X1,
    inference(superposition,[status(thm)],[c_183,c_154]) ).

cnf(c_275,plain,
    double_divide(multiply(inverse(X0),double_divide(X1,X2)),X2) = double_divide(inverse(X0),inverse(X1)),
    inference(superposition,[status(thm)],[c_107,c_178]) ).

cnf(c_479,plain,
    double_divide(inverse(X0),inverse(multiply(X1,X2))) = multiply(multiply(X1,X2),X0),
    inference(superposition,[status(thm)],[c_261,c_266]) ).

cnf(c_483,plain,
    multiply(multiply(inverse(X0),X1),X0) = X1,
    inference(demodulation,[status(thm)],[c_266,c_479]) ).

cnf(c_514,plain,
    multiply(inverse(X0),multiply(X1,X0)) = X1,
    inference(superposition,[status(thm)],[c_483,c_261]) ).

cnf(c_523,plain,
    multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
    inference(superposition,[status(thm)],[c_514,c_514]) ).

cnf(c_524,plain,
    double_divide(X0,inverse(multiply(X0,X1))) = X1,
    inference(superposition,[status(thm)],[c_514,c_154]) ).

cnf(c_538,plain,
    double_divide(inverse(X0),inverse(X1)) = multiply(X1,X0),
    inference(superposition,[status(thm)],[c_514,c_524]) ).

cnf(c_549,plain,
    multiply(inverse(X0),inverse(X1)) = inverse(multiply(X0,X1)),
    inference(superposition,[status(thm)],[c_523,c_514]) ).

cnf(c_624,plain,
    inverse(multiply(double_divide(X0,X1),X2)) = multiply(multiply(X1,X0),inverse(X2)),
    inference(superposition,[status(thm)],[c_50,c_549]) ).

cnf(c_640,plain,
    double_divide(X0,multiply(X1,inverse(X2))) = multiply(double_divide(X0,X1),X2),
    inference(demodulation,[status(thm)],[c_115,c_275,c_538]) ).

cnf(c_642,plain,
    double_divide(X0,inverse(multiply(X1,X2))) = multiply(double_divide(X0,inverse(X1)),X2),
    inference(superposition,[status(thm)],[c_549,c_640]) ).

cnf(c_1444,plain,
    inverse(multiply(double_divide(X0,inverse(inverse(X1))),X1)) = X0,
    inference(superposition,[status(thm)],[c_624,c_483]) ).

cnf(c_1547,plain,
    multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
    inference(demodulation,[status(thm)],[c_1444,c_50,c_642]) ).

cnf(c_1567,plain,
    multiply(X0,multiply(inverse(X1),X1)) = X0,
    inference(superposition,[status(thm)],[c_1547,c_483]) ).

cnf(c_1674,plain,
    double_divide(X0,inverse(X0)) = multiply(inverse(X1),X1),
    inference(superposition,[status(thm)],[c_1567,c_524]) ).

cnf(c_1776,plain,
    multiply(double_divide(X0,inverse(X0)),a2) != a2,
    inference(superposition,[status(thm)],[c_1674,c_51]) ).

cnf(c_1779,plain,
    multiply(double_divide(X0,inverse(X0)),X1) = X1,
    inference(superposition,[status(thm)],[c_1674,c_483]) ).

cnf(c_1792,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1776,c_1779]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GRP586-1 : TPTP v8.2.0. Released v2.6.0.
% 0.12/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n019.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 10:35:24 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.20/0.46  Running UEQ theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.47/1.14  % SZS status Started for theBenchmark.p
% 0.47/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.14  
% 0.47/1.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.47/1.14  
% 0.47/1.14  ------  iProver source info
% 0.47/1.14  
% 0.47/1.14  git: date: 2024-06-12 09:56:46 +0000
% 0.47/1.14  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 0.47/1.14  git: non_committed_changes: false
% 0.47/1.14  
% 0.47/1.14  ------ Parsing...successful
% 0.47/1.14  
% 0.47/1.14  
% 0.47/1.14  
% 0.47/1.14  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.47/1.14  
% 0.47/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.47/1.14  
% 0.47/1.14  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.47/1.14  ------ Proving...
% 0.47/1.14  ------ Problem Properties 
% 0.47/1.14  
% 0.47/1.14  
% 0.47/1.14  clauses                                 3
% 0.47/1.14  conjectures                             1
% 0.47/1.14  EPR                                     0
% 0.47/1.14  Horn                                    3
% 0.47/1.14  unary                                   3
% 0.47/1.14  binary                                  0
% 0.47/1.14  lits                                    3
% 0.47/1.14  lits eq                                 3
% 0.47/1.14  fd_pure                                 0
% 0.47/1.14  fd_pseudo                               0
% 0.47/1.14  fd_cond                                 0
% 0.47/1.14  fd_pseudo_cond                          0
% 0.47/1.14  AC symbols                              0
% 0.47/1.14  
% 0.47/1.14  ------ Input Options Time Limit: Unbounded
% 0.47/1.14  
% 0.47/1.14  
% 0.47/1.14  ------ 
% 0.47/1.14  Current options:
% 0.47/1.14  ------ 
% 0.47/1.14  
% 0.47/1.14  
% 0.47/1.14  
% 0.47/1.14  
% 0.47/1.14  ------ Proving...
% 0.47/1.14  
% 0.47/1.14  
% 0.47/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.14  
% 0.47/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.14  
% 0.47/1.14  
%------------------------------------------------------------------------------