%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GEO242+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n006.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 22:47:24 EDT 2023

% Result   : Theorem 0.20s 0.59s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   27 (   3 unt;  19 typ;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   20 (   9   ~;   1   |;   8   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   33 (  16   >;  17   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   2 sgn;  10   !;   0   ?;   0   :)

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

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

tff(decl_24,type,
    reverse_line: $i > $i ).

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

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

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

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

tff(decl_29,type,
    distinct_points: ( $i * $i ) > $o ).

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

tff(decl_31,type,
    between_on_line: ( $i * $i * $i * $i ) > $o ).

tff(decl_32,type,
    distinct_lines: ( $i * $i ) > $o ).

tff(decl_33,type,
    line: $i > $o ).

tff(decl_34,type,
    left_convergent_lines: ( $i * $i ) > $o ).

tff(decl_35,type,
    point: $i > $o ).

tff(decl_36,type,
    intersection_point: ( $i * $i ) > $i ).

tff(decl_37,type,
    parallel_through_point: ( $i * $i ) > $i ).

tff(decl_38,type,
    esk1_0: $i ).

tff(decl_39,type,
    esk2_0: $i ).

tff(decl_40,type,
    esk3_0: $i ).

fof(con,conjecture,
    ! [X1,X4,X2] :
      ( ( ~ apart_point_and_line(X1,X2)
        & distinct_points(X1,X4)
        & left_convergent_lines(X2,reverse_line(line_connecting(X1,X4))) )
     => left_apart_point(X4,reverse_line(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(oag11,axiom,
    ! [X2,X3] :
      ~ ( left_convergent_lines(X2,X3)
        | left_convergent_lines(X2,reverse_line(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag11) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1,X4,X2] :
        ( ( ~ apart_point_and_line(X1,X2)
          & distinct_points(X1,X4)
          & left_convergent_lines(X2,reverse_line(line_connecting(X1,X4))) )
       => left_apart_point(X4,reverse_line(X2)) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]) ).

fof(c_0_3,negated_conjecture,
    ( ~ apart_point_and_line(esk1_0,esk3_0)
    & distinct_points(esk1_0,esk2_0)
    & left_convergent_lines(esk3_0,reverse_line(line_connecting(esk1_0,esk2_0)))
    & ~ left_apart_point(esk2_0,reverse_line(esk3_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

fof(c_0_4,plain,
    ! [X42,X43] :
      ( ~ left_convergent_lines(X42,X43)
      & ~ left_convergent_lines(X42,reverse_line(X43)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag11])]) ).

cnf(c_0_5,negated_conjecture,
    left_convergent_lines(esk3_0,reverse_line(line_connecting(esk1_0,esk2_0))),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ~ left_convergent_lines(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_5,c_0_6]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO242+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n006.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 20:31:21 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.57  start to proof: theBenchmark
% 0.20/0.59  % Version  : CSE_E---1.5
% 0.20/0.59  % Problem  : theBenchmark.p
% 0.20/0.59  % Proof found
% 0.20/0.59  % SZS status Theorem for theBenchmark.p
% 0.20/0.59  % SZS output start Proof
% See solution above
% 0.20/0.59  % Total time : 0.006000 s
% 0.20/0.59  % SZS output end Proof
% 0.20/0.59  % Total time : 0.009000 s
%------------------------------------------------------------------------------