TSTP Solution File: ITP341_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ITP341_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 02:30:41 EDT 2024

% Result   : Theorem 2.15s 1.18s
% Output   : CNFRefutation 2.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   43 (   8 equ)
%            Maximal formula atoms :    1 (   4 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   34 (  34 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    3 (   0 sgn   2   !;   0   ?;   2   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f4,conjecture,
    'matrix_inv$'('p$') = 'matrix_matrix_mult$'('matrix_inv$'('p$'),'mat$'('one$')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture3) ).

tff(f5,negated_conjecture,
    ( ~ 'matrix_inv$'('p$') = 'matrix_matrix_mult$'('matrix_inv$'('p$'),'mat$'('one$')) ),
    inference(negated_conjecture,[],[f4]) ).

tff(f11,axiom,
    ! [X0: 'A_n_vec_n_vec$'] : ( 'matrix_matrix_mult$'(X0,'mat$'('one$')) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom9) ).

tff(f421,plain,
    'matrix_inv$'('p$') != 'matrix_matrix_mult$'('matrix_inv$'('p$'),'mat$'('one$')),
    inference(flattening,[],[f5]) ).

tff(f765,plain,
    'matrix_inv$'('p$') != 'matrix_matrix_mult$'('matrix_inv$'('p$'),'mat$'('one$')),
    inference(cnf_transformation,[],[f421]) ).

tff(f771,plain,
    ! [X0: 'A_n_vec_n_vec$'] : ( 'matrix_matrix_mult$'(X0,'mat$'('one$')) = X0 ),
    inference(cnf_transformation,[],[f11]) ).

cnf(c_58,negated_conjecture,
    'matrix_matrix_mult$'('matrix_inv$'('p$'),'mat$'('one$')) != 'matrix_inv$'('p$'),
    inference(cnf_transformation,[],[f765]) ).

cnf(c_64,plain,
    'matrix_matrix_mult$'(X0_17,'mat$'('one$')) = X0_17,
    inference(cnf_transformation,[],[f771]) ).

cnf(c_1876,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_58,c_64]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : ITP341_1 : TPTP v8.1.2. Released v8.0.0.
% 0.03/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 22:11:28 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.15/1.18  % SZS status Started for theBenchmark.p
% 2.15/1.18  % SZS status Theorem for theBenchmark.p
% 2.15/1.18  
% 2.15/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.15/1.18  
% 2.15/1.18  ------  iProver source info
% 2.15/1.18  
% 2.15/1.18  git: date: 2024-05-02 19:28:25 +0000
% 2.15/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.15/1.18  git: non_committed_changes: false
% 2.15/1.18  
% 2.15/1.18  ------ Parsing...
% 2.15/1.18  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 2.15/1.18  
% 2.15/1.18  
% 2.15/1.18  ------ Preprocessing...
% 2.15/1.18  
% 2.15/1.18  % SZS status Theorem for theBenchmark.p
% 2.15/1.18  
% 2.15/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.15/1.18  
% 2.15/1.18  
%------------------------------------------------------------------------------