%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO211+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n001.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 : Wed Aug 30 23:10:20 EDT 2023

% Result   : Theorem 0.73s 1.15s
% Output   : CNFRefutation 0.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (  12 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (  12   ~;   5   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   16 (   0 sgn;  11   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] : ~ convergent_lines(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).

fof(f16,axiom,
    ! [X5,X6] :
      ( unorthogonal_lines(X5,X6)
      | convergent_lines(X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occu1) ).

fof(f21,conjecture,
    ! [X5] : unorthogonal_lines(X5,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f22,negated_conjecture,
    ~ ! [X5] : unorthogonal_lines(X5,X5),
    inference(negated_conjecture,[],[f21]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( unorthogonal_lines(X0,X1)
      | convergent_lines(X0,X1) ),
    inference(rectify,[],[f16]) ).

fof(f29,plain,
    ~ ! [X0] : unorthogonal_lines(X0,X0),
    inference(rectify,[],[f22]) ).

fof(f53,plain,
    ? [X0] : ~ unorthogonal_lines(X0,X0),
    inference(ennf_transformation,[],[f29]) ).

fof(f54,plain,
    ( ? [X0] : ~ unorthogonal_lines(X0,X0)
   => ~ unorthogonal_lines(sK0,sK0) ),
    introduced(choice_axiom,[]) ).

fof(f55,plain,
    ~ unorthogonal_lines(sK0,sK0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f53,f54]) ).

fof(f58,plain,
    ! [X0] : ~ convergent_lines(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( unorthogonal_lines(X0,X1)
      | convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f81,plain,
    ~ unorthogonal_lines(sK0,sK0),
    inference(cnf_transformation,[],[f55]) ).

cnf(c_51,plain,
    ~ convergent_lines(X0,X0),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_66,plain,
    ( convergent_lines(X0,X1)
    | unorthogonal_lines(X0,X1) ),
    inference(cnf_transformation,[],[f73]) ).

cnf(c_74,negated_conjecture,
    ~ unorthogonal_lines(sK0,sK0),
    inference(cnf_transformation,[],[f81]) ).

cnf(c_75,plain,
    ~ convergent_lines(sK0,sK0),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_80,plain,
    ( convergent_lines(sK0,sK0)
    | unorthogonal_lines(sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_66]) ).

cnf(c_81,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_80,c_75,c_74]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO211+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.16/0.34  % Computer : n001.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Aug 29 23:08:23 EDT 2023
% 0.16/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.73/1.15  % SZS status Started for theBenchmark.p
% 0.73/1.15  % SZS status Theorem for theBenchmark.p
% 0.73/1.15  
% 0.73/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.73/1.15  
% 0.73/1.15  ------  iProver source info
% 0.73/1.15  
% 0.73/1.15  git: date: 2023-05-31 18:12:56 +0000
% 0.73/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.73/1.15  git: non_committed_changes: false
% 0.73/1.15  git: last_make_outside_of_git: false
% 0.73/1.15  
% 0.73/1.15  ------ Parsing...
% 0.73/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.73/1.15  
% 0.73/1.15  ------ Preprocessing...
% 0.73/1.15  
% 0.73/1.15  % SZS status Theorem for theBenchmark.p
% 0.73/1.15  
% 0.73/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.73/1.15  
% 0.73/1.15  
%------------------------------------------------------------------------------