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PyRes---1.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GEO216+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n014.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 May  9 17:21:33 EDT 2024

% Result   : Theorem 0.21s 0.55s
% Output   : Refutation 0.21s
% 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 :   25 (  20   ~;   3   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   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   :   20 (   0 sgn  14   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [L] :
      ~ ~ unorthogonal_lines(L,L),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(c0,negated_conjecture,
    ~ ! [L] :
        ~ ~ unorthogonal_lines(L,L),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c1,negated_conjecture,
    ~ ! [L] : unorthogonal_lines(L,L),
    inference(fof_simplification,[status(thm)],[c0]) ).

fof(c2,negated_conjecture,
    ? [L] : ~ unorthogonal_lines(L,L),
    inference(fof_nnf,[status(thm)],[c1]) ).

fof(c3,negated_conjecture,
    ? [X2] : ~ unorthogonal_lines(X2,X2),
    inference(variable_rename,[status(thm)],[c2]) ).

fof(c4,negated_conjecture,
    ~ unorthogonal_lines(skolem0001,skolem0001),
    inference(skolemize,[status(esa)],[c3]) ).

cnf(c5,negated_conjecture,
    ~ unorthogonal_lines(skolem0001,skolem0001),
    inference(split_conjunct,[status(thm)],[c4]) ).

fof(apart3,axiom,
    ! [X] : ~ convergent_lines(X,X),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).

fof(c71,plain,
    ! [X] : ~ convergent_lines(X,X),
    inference(fof_simplification,[status(thm)],[apart3]) ).

fof(c72,plain,
    ! [X41] : ~ convergent_lines(X41,X41),
    inference(variable_rename,[status(thm)],[c71]) ).

cnf(c73,plain,
    ~ convergent_lines(X44,X44),
    inference(split_conjunct,[status(thm)],[c72]) ).

fof(coipo1,axiom,
    ! [L,M] :
      ~ ( ~ convergent_lines(L,M)
        & ~ unorthogonal_lines(L,M) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax',coipo1) ).

fof(c18,plain,
    ! [L,M] :
      ~ ( ~ convergent_lines(L,M)
        & ~ unorthogonal_lines(L,M) ),
    inference(fof_simplification,[status(thm)],[coipo1]) ).

fof(c19,plain,
    ! [L,M] :
      ( convergent_lines(L,M)
      | unorthogonal_lines(L,M) ),
    inference(fof_nnf,[status(thm)],[c18]) ).

fof(c20,plain,
    ! [X9,X10] :
      ( convergent_lines(X9,X10)
      | unorthogonal_lines(X9,X10) ),
    inference(variable_rename,[status(thm)],[c19]) ).

cnf(c21,plain,
    ( convergent_lines(X48,X47)
    | unorthogonal_lines(X48,X47) ),
    inference(split_conjunct,[status(thm)],[c20]) ).

cnf(c80,plain,
    unorthogonal_lines(X52,X52),
    inference(resolution,[status(thm)],[c21,c73]) ).

cnf(c83,plain,
    $false,
    inference(resolution,[status(thm)],[c80,c5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : GEO216+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n014.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  9 07:43:38 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.55  % Version:  1.5
% 0.21/0.55  % SZS status Theorem
% 0.21/0.55  % SZS output start CNFRefutation
% See solution above
% 0.21/0.55  
% 0.21/0.55  % Initial clauses    : 21
% 0.21/0.55  % Processed clauses  : 7
% 0.21/0.55  % Factors computed   : 0
% 0.21/0.55  % Resolvents computed: 4
% 0.21/0.55  % Tautologies deleted: 0
% 0.21/0.55  % Forward subsumed   : 0
% 0.21/0.55  % Backward subsumed  : 0
% 0.21/0.55  % -------- CPU Time ---------
% 0.21/0.55  % User time          : 0.179 s
% 0.21/0.55  % System time        : 0.017 s
% 0.21/0.55  % Total time         : 0.196 s
%------------------------------------------------------------------------------