%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GEO182+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %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  : 300s
% DateTime : Wed Aug 30 22:46:46 EDT 2023

% Result   : Theorem 0.19s 0.59s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   50 (  15 unt;  19 typ;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   46 (  20   ~;  17   |;   2   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   30 (  16   >;  14   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   56 (   3 sgn;  37   !;   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,
    point: $i > $o ).

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

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

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

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

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

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

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,X2,X3] :
      ( distinct_points(X1,X2)
     => ( apart_point_and_line(X3,line_connecting(X1,X2))
       => apart_point_and_line(X3,line_connecting(X2,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(ceq2,axiom,
    ! [X1,X2,X3] :
      ( apart_point_and_line(X1,X2)
     => ( distinct_lines(X2,X3)
        | apart_point_and_line(X1,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq2) ).

fof(apart2,axiom,
    ! [X1] : ~ distinct_lines(X1,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart2) ).

fof(apart5,axiom,
    ! [X1,X2,X3] :
      ( distinct_lines(X1,X2)
     => ( distinct_lines(X1,X3)
        | distinct_lines(X2,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart5) ).

fof(cp1,axiom,
    ! [X1,X2] : ~ convergent_lines(parallel_through_point(X2,X1),X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp1) ).

fof(p1,axiom,
    ! [X1,X2] :
      ( distinct_lines(X1,X2)
     => convergent_lines(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax',p1) ).

fof(cp2,axiom,
    ! [X1,X2] : ~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp2) ).

fof(c_0_7,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( distinct_points(X1,X2)
       => ( apart_point_and_line(X3,line_connecting(X1,X2))
         => apart_point_and_line(X3,line_connecting(X2,X1)) ) ),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c_0_8,plain,
    ! [X38,X39,X40] :
      ( ~ apart_point_and_line(X38,X39)
      | distinct_lines(X39,X40)
      | apart_point_and_line(X38,X40) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ceq2])]) ).

fof(c_0_9,negated_conjecture,
    ( distinct_points(esk1_0,esk2_0)
    & apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
    & ~ apart_point_and_line(esk3_0,line_connecting(esk2_0,esk1_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).

fof(c_0_10,plain,
    ! [X1] : ~ distinct_lines(X1,X1),
    inference(fof_simplification,[status(thm)],[apart2]) ).

fof(c_0_11,plain,
    ! [X17,X18,X19] :
      ( ~ distinct_lines(X17,X18)
      | distinct_lines(X17,X19)
      | distinct_lines(X18,X19) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[apart5])]) ).

cnf(c_0_12,plain,
    ( distinct_lines(X2,X3)
    | apart_point_and_line(X1,X3)
    | ~ apart_point_and_line(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_14,plain,
    ! [X12] : ~ distinct_lines(X12,X12),
    inference(variable_rename,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    ( distinct_lines(X1,X3)
    | distinct_lines(X2,X3)
    | ~ distinct_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,negated_conjecture,
    ( apart_point_and_line(esk3_0,X1)
    | distinct_lines(line_connecting(esk1_0,esk2_0),X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

fof(c_0_17,plain,
    ! [X1,X2] : ~ convergent_lines(parallel_through_point(X2,X1),X2),
    inference(fof_simplification,[status(thm)],[cp1]) ).

fof(c_0_18,plain,
    ! [X44,X45] :
      ( ~ distinct_lines(X44,X45)
      | convergent_lines(X44,X45) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])]) ).

cnf(c_0_19,plain,
    ~ distinct_lines(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,negated_conjecture,
    ( apart_point_and_line(esk3_0,X1)
    | distinct_lines(line_connecting(esk1_0,esk2_0),X2)
    | distinct_lines(X1,X2) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

fof(c_0_21,plain,
    ! [X1,X2] : ~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
    inference(fof_simplification,[status(thm)],[cp2]) ).

fof(c_0_22,plain,
    ! [X46,X47] : ~ convergent_lines(parallel_through_point(X47,X46),X47),
    inference(variable_rename,[status(thm)],[c_0_17]) ).

cnf(c_0_23,plain,
    ( convergent_lines(X1,X2)
    | ~ distinct_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_24,negated_conjecture,
    ( apart_point_and_line(esk3_0,X1)
    | distinct_lines(X1,line_connecting(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

fof(c_0_25,plain,
    ! [X48,X49] : ~ apart_point_and_line(X48,parallel_through_point(X49,X48)),
    inference(variable_rename,[status(thm)],[c_0_21]) ).

cnf(c_0_26,plain,
    ~ convergent_lines(parallel_through_point(X1,X2),X1),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_27,negated_conjecture,
    ( apart_point_and_line(esk3_0,X1)
    | convergent_lines(X1,line_connecting(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_28,plain,
    ~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_29,negated_conjecture,
    apart_point_and_line(esk3_0,parallel_through_point(line_connecting(esk1_0,esk2_0),X1)),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_30,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_28,c_0_29]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO182+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n028.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 21:32:26 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 0.19/0.59  % Version  : CSE_E---1.5
% 0.19/0.59  % Problem  : theBenchmark.p
% 0.19/0.59  % Proof found
% 0.19/0.59  % SZS status Theorem for theBenchmark.p
% 0.19/0.59  % SZS output start Proof
% See solution above
% 0.19/0.59  % Total time : 0.016000 s
% 0.19/0.59  % SZS output end Proof
% 0.19/0.59  % Total time : 0.020000 s
%------------------------------------------------------------------------------