%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GEO207+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n008.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 22:47:04 EDT 2023

% Result   : Theorem 0.19s 0.55s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   17 (   9 unt;   8 typ;   0 def)
%            Number of atoms       :    9 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (   7   >;   7   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn;   5   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    distinct_points: ( $i * $i ) > $o ).

tff(decl_23,type,
    distinct_lines: ( $i * $i ) > $o ).

tff(decl_24,type,
    convergent_lines: ( $i * $i ) > $o ).

tff(decl_25,type,
    line_connecting: ( $i * $i ) > $i ).

tff(decl_26,type,
    apart_point_and_line: ( $i * $i ) > $o ).

tff(decl_27,type,
    intersection_point: ( $i * $i ) > $i ).

tff(decl_28,type,
    parallel_through_point: ( $i * $i ) > $i ).

tff(decl_29,type,
    esk1_0: $i ).

fof(con,conjecture,
    ! [X1] : ~ convergent_lines(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(apart3,axiom,
    ! [X1] : ~ convergent_lines(X1,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1] : ~ convergent_lines(X1,X1),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]) ).

fof(c_0_3,plain,
    ! [X1] : ~ convergent_lines(X1,X1),
    inference(fof_simplification,[status(thm)],[apart3]) ).

fof(c_0_4,negated_conjecture,
    convergent_lines(esk1_0,esk1_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

fof(c_0_5,plain,
    ! [X8] : ~ convergent_lines(X8,X8),
    inference(variable_rename,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    convergent_lines(esk1_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    ~ convergent_lines(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_6,c_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GEO207+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 29 20:45:32 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.54  start to proof: theBenchmark
% 0.19/0.55  % Version  : CSE_E---1.5
% 0.19/0.55  % Problem  : theBenchmark.p
% 0.19/0.55  % Proof found
% 0.19/0.55  % SZS status Theorem for theBenchmark.p
% 0.19/0.55  % SZS output start Proof
% See solution above
% 0.19/0.56  % Total time : 0.004000 s
% 0.19/0.56  % SZS output end Proof
% 0.19/0.56  % Total time : 0.007000 s
%------------------------------------------------------------------------------