%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GEO211+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n028.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  : 600s
% DateTime : Sat Jul 16 05:25:25 EDT 2022

% Result   : Theorem 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (  13 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   9   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   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  12   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(apart3,axiom,
    ! [X] : ~ convergent_lines(X,X) ).

fof(occu1,axiom,
    ! [L,M] :
      ( convergent_lines(L,M)
      | unorthogonal_lines(L,M) ) ).

fof(con,conjecture,
    ! [L] : unorthogonal_lines(L,L) ).

fof(subgoal_0,plain,
    ! [L] : unorthogonal_lines(L,L),
    inference(strip,[],[con]) ).

fof(negate_0_0,plain,
    ~ ! [L] : unorthogonal_lines(L,L),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ? [L] : ~ unorthogonal_lines(L,L),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ~ unorthogonal_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_L),
    inference(skolemize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [L,M] :
      ( convergent_lines(L,M)
      | unorthogonal_lines(L,M) ),
    inference(canonicalize,[],[occu1]) ).

fof(normalize_0_3,plain,
    ! [L,M] :
      ( convergent_lines(L,M)
      | unorthogonal_lines(L,M) ),
    inference(specialize,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [X] : ~ convergent_lines(X,X),
    inference(canonicalize,[],[apart3]) ).

fof(normalize_0_5,plain,
    ! [X] : ~ convergent_lines(X,X),
    inference(specialize,[],[normalize_0_4]) ).

cnf(refute_0_0,plain,
    ~ unorthogonal_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_L),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_1,plain,
    ( convergent_lines(L,M)
    | unorthogonal_lines(L,M) ),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_2,plain,
    ( convergent_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_L)
    | unorthogonal_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_L) ),
    inference(subst,[],[refute_0_1:[bind(L,$fot(skolemFOFtoCNF_L)),bind(M,$fot(skolemFOFtoCNF_L))]]) ).

cnf(refute_0_3,plain,
    convergent_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_L),
    inference(resolve,[$cnf( unorthogonal_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_L) )],[refute_0_2,refute_0_0]) ).

cnf(refute_0_4,plain,
    ~ convergent_lines(X,X),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_5,plain,
    ~ convergent_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_L),
    inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_L))]]) ).

cnf(refute_0_6,plain,
    $false,
    inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_L) )],[refute_0_3,refute_0_5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO211+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n028.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  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 10:34:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  
% 0.12/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34  
%------------------------------------------------------------------------------