TSTP Solution File: GEO229+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO229+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 02:17:08 EDT 2024

% Result   : Theorem 0.43s 1.11s
% Output   : CNFRefutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   22 (  14   ~;   0   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   10 (   0 sgn   6   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f32,conjecture,
    ! [X1,X2] :
      ( ~ unequally_directed_lines(X1,reverse_line(X2))
     => ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(f33,negated_conjecture,
    ~ ! [X1,X2] :
        ( ~ unequally_directed_lines(X1,reverse_line(X2))
       => ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f59,plain,
    ~ ! [X0,X1] :
        ( ~ unequally_directed_lines(X0,reverse_line(X1))
       => ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(rectify,[],[f33]) ).

fof(f96,plain,
    ? [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      & ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f97,plain,
    ( ? [X0,X1] :
        ( unequally_directed_lines(X0,reverse_line(X1))
        & ~ unequally_directed_lines(X0,reverse_line(X1)) )
   => ( unequally_directed_lines(sK0,reverse_line(sK1))
      & ~ unequally_directed_lines(sK0,reverse_line(sK1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f98,plain,
    ( unequally_directed_lines(sK0,reverse_line(sK1))
    & ~ unequally_directed_lines(sK0,reverse_line(sK1)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f96,f97]) ).

fof(f134,plain,
    ~ unequally_directed_lines(sK0,reverse_line(sK1)),
    inference(cnf_transformation,[],[f98]) ).

fof(f135,plain,
    unequally_directed_lines(sK0,reverse_line(sK1)),
    inference(cnf_transformation,[],[f98]) ).

cnf(c_84,negated_conjecture,
    unequally_directed_lines(sK0,reverse_line(sK1)),
    inference(cnf_transformation,[],[f135]) ).

cnf(c_85,negated_conjecture,
    ~ unequally_directed_lines(sK0,reverse_line(sK1)),
    inference(cnf_transformation,[],[f134]) ).

cnf(c_91,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_85,c_84]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : GEO229+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.00/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n006.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Fri May  3 01:24:49 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  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
% 0.43/1.11  % SZS status Started for theBenchmark.p
% 0.43/1.11  % SZS status Theorem for theBenchmark.p
% 0.43/1.11  
% 0.43/1.11  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.43/1.11  
% 0.43/1.11  ------  iProver source info
% 0.43/1.11  
% 0.43/1.11  git: date: 2024-05-02 19:28:25 +0000
% 0.43/1.11  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.43/1.11  git: non_committed_changes: false
% 0.43/1.11  
% 0.43/1.11  ------ Parsing...
% 0.43/1.11  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.43/1.11  
% 0.43/1.11  ------ Preprocessing...
% 0.43/1.11  
% 0.43/1.11  % SZS status Theorem for theBenchmark.p
% 0.43/1.11  
% 0.43/1.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.43/1.11  
% 0.43/1.11  
%------------------------------------------------------------------------------