%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GRP020-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 : Thu Aug 31 00:56:38 EDT 2023

% Result   : Unsatisfiable 0.81s 1.14s
% Output   : CNFRefutation 0.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of clauses     :    4 (   4 unt;   0 nHn;   2 RR)
%            Number of literals    :    4 (   2 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    multiply(inverse(a),a) != identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_X_times_X_is_id) ).

cnf(c_52,plain,
    product(inverse(X0),X0,identity),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_inverse) ).

cnf(c_65,plain,
    multiply(inverse(X0),X0) = identity,
    inference(well_definedness,[status(thm)],[c_52]) ).

cnf(c_85,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_49,c_65]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : GRP020-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Mon Aug 28 23:30:11 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.81/1.14  % SZS status Started for theBenchmark.p
% 0.81/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 0.81/1.14  
% 0.81/1.14  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.81/1.14  
% 0.81/1.14  ------  iProver source info
% 0.81/1.14  
% 0.81/1.14  git: date: 2023-05-31 18:12:56 +0000
% 0.81/1.14  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.81/1.14  git: non_committed_changes: false
% 0.81/1.14  git: last_make_outside_of_git: false
% 0.81/1.14  
% 0.81/1.14  ------ Parsing...successful
% 0.81/1.14  
% 0.81/1.14  
% 0.81/1.14  
% 0.81/1.14  ------ Preprocessing...
% 0.81/1.14  
% 0.81/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 0.81/1.14  
% 0.81/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.81/1.14  
% 0.81/1.14  
%------------------------------------------------------------------------------