%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GEO211+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n032.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 22:47:07 EDT 2023

% Result   : Theorem 0.17s 0.52s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   22 (   9 unt;  10 typ;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   7   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (   9   >;   9   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn;   9   !;   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,
    unorthogonal_lines: ( $i * $i ) > $o ).

tff(decl_30,type,
    orthogonal_through_point: ( $i * $i ) > $i ).

tff(decl_31,type,
    esk1_0: $i ).

fof(con,conjecture,
    ! [X6] : unorthogonal_lines(X6,X6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(apart3,axiom,
    ! [X1] : ~ convergent_lines(X1,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart3) ).

fof(occu1,axiom,
    ! [X6,X7] :
      ( convergent_lines(X6,X7)
      | unorthogonal_lines(X6,X7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',occu1) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X6] : unorthogonal_lines(X6,X6),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c_0_4,plain,
    ! [X1] : ~ convergent_lines(X1,X1),
    inference(fof_simplification,[status(thm)],[apart3]) ).

fof(c_0_5,negated_conjecture,
    ~ unorthogonal_lines(esk1_0,esk1_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

fof(c_0_6,plain,
    ! [X47,X48] :
      ( convergent_lines(X47,X48)
      | unorthogonal_lines(X47,X48) ),
    inference(variable_rename,[status(thm)],[occu1]) ).

fof(c_0_7,plain,
    ! [X12] : ~ convergent_lines(X12,X12),
    inference(variable_rename,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    ~ unorthogonal_lines(esk1_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( convergent_lines(X1,X2)
    | unorthogonal_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ~ convergent_lines(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : GEO211+2 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.11  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32  % Computer : n032.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 29 22:37:47 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.17/0.51  start to proof: theBenchmark
% 0.17/0.52  % Version  : CSE_E---1.5
% 0.17/0.52  % Problem  : theBenchmark.p
% 0.17/0.52  % Proof found
% 0.17/0.52  % SZS status Theorem for theBenchmark.p
% 0.17/0.52  % SZS output start Proof
% See solution above
% 0.17/0.52  % Total time : 0.006000 s
% 0.17/0.52  % SZS output end Proof
% 0.17/0.52  % Total time : 0.009000 s
%------------------------------------------------------------------------------