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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : GEO230+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:27:54 PM UTC 2026

% Result   : Theorem 0.16s 0.53s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   75 (  21 unt;   0 def)
%            Number of atoms       :  208 (   0 equ)
%            Maximal formula atoms :   19 (   2 avg)
%            Number of connectives :  213 (  80   ~; 104   |;  20   &)
%                                         (   2 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :  130 (  10 sgn  59   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X1,X4] :
      ( distinct_points(X1,X4)
     => ( ~ unequally_directed_lines(line_connecting(X4,X1),line_connecting(X1,X4))
        & ~ distinct_lines(line_connecting(X1,X4),line_connecting(X4,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(oaguc1,axiom,
    ! [X1,X4,X2,X3] :
      ( ( distinct_lines(X2,X3)
        & distinct_points(X1,X4) )
     => ( left_apart_point(X4,reverse_line(X3))
        | left_apart_point(X1,reverse_line(X3))
        | left_apart_point(X4,reverse_line(X2))
        | left_apart_point(X1,reverse_line(X2))
        | left_apart_point(X4,X3)
        | left_apart_point(X1,X3)
        | left_apart_point(X4,X2)
        | left_apart_point(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oaguc1) ).

fof(oag10,axiom,
    ! [X1,X2] :
      ~ ( left_apart_point(X1,reverse_line(X2))
        | left_apart_point(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag10) ).

fof(oag1,axiom,
    ! [X1] : ~ distinct_points(X1,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag1) ).

fof(oag2,axiom,
    ! [X1,X4,X5] :
      ( distinct_points(X1,X4)
     => ( distinct_points(X4,X5)
        | distinct_points(X1,X5) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag2) ).

fof(oagco9,axiom,
    ! [X1,X4] : ~ unequally_directed_lines(line_connecting(X1,X4),reverse_line(line_connecting(X4,X1))),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oagco9) ).

fof(oag6,axiom,
    ! [X2,X3,X6] :
      ( unequally_directed_lines(X2,X3)
     => ( unequally_directed_lines(X3,X6)
        | unequally_directed_lines(X2,X6) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag6) ).

fof(oag9,axiom,
    ! [X2,X3] :
      ( ( unequally_directed_lines(X2,reverse_line(X3))
        & unequally_directed_lines(X2,X3) )
     => ( left_convergent_lines(X2,reverse_line(X3))
        | left_convergent_lines(X2,X3) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag9) ).

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

fof(bf_def,axiom,
    ! [X2,X1,X4] :
      ( before_on_line(X2,X1,X4)
    <=> ( ~ unequally_directed_lines(X2,line_connecting(X1,X4))
        & ~ ( left_apart_point(X4,reverse_line(X2))
            | left_apart_point(X4,X2) )
        & ~ ( left_apart_point(X1,reverse_line(X2))
            | left_apart_point(X1,X2) )
        & distinct_points(X1,X4) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',bf_def) ).

fof(oag5,axiom,
    ! [X2] : ~ unequally_directed_lines(X2,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag5) ).

fof(c_0_11,negated_conjecture,
    ~ ! [X1,X4] :
        ( distinct_points(X1,X4)
       => ( ~ unequally_directed_lines(line_connecting(X4,X1),line_connecting(X1,X4))
          & ~ distinct_lines(line_connecting(X1,X4),line_connecting(X4,X1)) ) ),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c_0_12,negated_conjecture,
    ~ ! [X1,X4] :
        ( distinct_points(X1,X4)
       => ( ~ unequally_directed_lines(line_connecting(X4,X1),line_connecting(X1,X4))
          & ~ distinct_lines(line_connecting(X1,X4),line_connecting(X4,X1)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_13,plain,
    ! [X62,X63,X64,X65] :
      ( left_apart_point(X63,reverse_line(X65))
      | left_apart_point(X62,reverse_line(X65))
      | left_apart_point(X63,reverse_line(X64))
      | left_apart_point(X62,reverse_line(X64))
      | left_apart_point(X63,X65)
      | left_apart_point(X62,X65)
      | left_apart_point(X63,X64)
      | left_apart_point(X62,X64)
      | ~ distinct_lines(X64,X65)
      | ~ distinct_points(X62,X63) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oaguc1])])]) ).

fof(c_0_14,plain,
    ! [X40,X41] :
      ( ~ left_apart_point(X40,reverse_line(X41))
      & ~ left_apart_point(X40,X41) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag10])])]) ).

fof(c_0_15,plain,
    ! [X1] : ~ distinct_points(X1,X1),
    inference(fof_simplification,[status(thm)],[oag1]) ).

fof(c_0_16,plain,
    ! [X22,X23,X24] :
      ( distinct_points(X23,X24)
      | distinct_points(X22,X24)
      | ~ distinct_points(X22,X23) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag2])])]) ).

fof(c_0_17,negated_conjecture,
    ( ( unequally_directed_lines(line_connecting(esk2_0,esk1_0),line_connecting(esk1_0,esk2_0))
      | distinct_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk2_0,esk1_0)) )
    & distinct_points(esk1_0,esk2_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).

cnf(c_0_18,plain,
    ( ~ distinct_lines(X3,X4)
    | ~ distinct_points(X1,X2)
    | left_apart_point(X2,reverse_line(X4))
    | left_apart_point(X1,reverse_line(X4))
    | left_apart_point(X2,reverse_line(X3))
    | left_apart_point(X1,reverse_line(X3))
    | left_apart_point(X2,X4)
    | left_apart_point(X1,X4)
    | left_apart_point(X2,X3)
    | left_apart_point(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    ~ left_apart_point(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_20,plain,
    ! [X21] : ~ distinct_points(X21,X21),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_15])]) ).

cnf(c_0_21,plain,
    ( ~ distinct_points(X1,X2)
    | distinct_points(X2,X3)
    | distinct_points(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    distinct_points(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_23,plain,
    ( ~ distinct_points(X3,X4)
    | ~ distinct_lines(X1,X2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_18,c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_19]) ).

cnf(c_0_24,negated_conjecture,
    ( unequally_directed_lines(line_connecting(esk2_0,esk1_0),line_connecting(esk1_0,esk2_0))
    | distinct_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk2_0,esk1_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,plain,
    ~ distinct_points(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_26,negated_conjecture,
    ( distinct_points(esk1_0,X1)
    | distinct_points(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

fof(c_0_27,plain,
    ! [X1,X4] : ~ unequally_directed_lines(line_connecting(X1,X4),reverse_line(line_connecting(X4,X1))),
    inference(fof_simplification,[status(thm)],[oagco9]) ).

fof(c_0_28,plain,
    ! [X30,X31,X32] :
      ( unequally_directed_lines(X31,X32)
      | unequally_directed_lines(X30,X32)
      | ~ unequally_directed_lines(X30,X31) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag6])])]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ distinct_points(X1,X2)
    | unequally_directed_lines(line_connecting(esk2_0,esk1_0),line_connecting(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_30,negated_conjecture,
    distinct_points(esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

fof(c_0_31,plain,
    ! [X58,X59] : ~ unequally_directed_lines(line_connecting(X58,X59),reverse_line(line_connecting(X59,X58))),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_27])]) ).

cnf(c_0_32,plain,
    ( ~ unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X2,X3)
    | unequally_directed_lines(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_33,negated_conjecture,
    unequally_directed_lines(line_connecting(esk2_0,esk1_0),line_connecting(esk1_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

fof(c_0_34,plain,
    ! [X38,X39] :
      ( left_convergent_lines(X38,reverse_line(X39))
      | left_convergent_lines(X38,X39)
      | ~ unequally_directed_lines(X38,reverse_line(X39))
      | ~ unequally_directed_lines(X38,X39) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag9])])]) ).

fof(c_0_35,plain,
    ! [X42,X43] :
      ( ~ left_convergent_lines(X42,reverse_line(X43))
      & ~ left_convergent_lines(X42,X43) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag11])])]) ).

cnf(c_0_36,plain,
    ~ unequally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1))),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_37,negated_conjecture,
    ( unequally_directed_lines(line_connecting(esk2_0,esk1_0),X1)
    | unequally_directed_lines(line_connecting(esk1_0,esk2_0),X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

fof(c_0_38,plain,
    ! [X2,X1,X4] :
      ( before_on_line(X2,X1,X4)
    <=> ( ~ unequally_directed_lines(X2,line_connecting(X1,X4))
        & ~ ( left_apart_point(X4,reverse_line(X2))
            | left_apart_point(X4,X2) )
        & ~ ( left_apart_point(X1,reverse_line(X2))
            | left_apart_point(X1,X2) )
        & distinct_points(X1,X4) ) ),
    inference(fof_simplification,[status(thm)],[bf_def]) ).

cnf(c_0_39,plain,
    ( ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | left_convergent_lines(X1,reverse_line(X2))
    | left_convergent_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_40,plain,
    ~ left_convergent_lines(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_41,negated_conjecture,
    unequally_directed_lines(line_connecting(esk2_0,esk1_0),reverse_line(line_connecting(esk2_0,esk1_0))),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

fof(c_0_42,plain,
    ! [X14,X15,X16] :
      ( ( before_on_line(X14,X15,X16)
        | unequally_directed_lines(X14,line_connecting(X15,X16))
        | left_apart_point(X16,reverse_line(X14))
        | left_apart_point(X16,X14)
        | left_apart_point(X15,reverse_line(X14))
        | left_apart_point(X15,X14)
        | ~ distinct_points(X15,X16) )
      & ( ~ before_on_line(X14,X15,X16)
        | ~ unequally_directed_lines(X14,line_connecting(X15,X16)) )
      & ( ~ before_on_line(X14,X15,X16)
        | ~ left_apart_point(X16,reverse_line(X14)) )
      & ( ~ before_on_line(X14,X15,X16)
        | ~ left_apart_point(X16,X14) )
      & ( ~ before_on_line(X14,X15,X16)
        | ~ left_apart_point(X15,reverse_line(X14)) )
      & ( ~ before_on_line(X14,X15,X16)
        | ~ left_apart_point(X15,X14) )
      & ( ~ before_on_line(X14,X15,X16)
        | distinct_points(X15,X16) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])]) ).

cnf(c_0_43,plain,
    ( ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_39,c_0_40]),c_0_40]) ).

cnf(c_0_44,negated_conjecture,
    ( unequally_directed_lines(line_connecting(esk2_0,esk1_0),X1)
    | unequally_directed_lines(reverse_line(line_connecting(esk2_0,esk1_0)),X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_41]) ).

cnf(c_0_45,plain,
    ( ~ distinct_points(X1,X2)
    | before_on_line(X3,X1,X2)
    | unequally_directed_lines(X3,line_connecting(X1,X2))
    | left_apart_point(X2,reverse_line(X3))
    | left_apart_point(X2,X3)
    | left_apart_point(X1,reverse_line(X3))
    | left_apart_point(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ unequally_directed_lines(reverse_line(line_connecting(esk2_0,esk1_0)),X1)
    | unequally_directed_lines(line_connecting(esk2_0,esk1_0),reverse_line(X1)) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

fof(c_0_47,plain,
    ! [X2] : ~ unequally_directed_lines(X2,X2),
    inference(fof_simplification,[status(thm)],[oag5]) ).

cnf(c_0_48,plain,
    ( ~ distinct_points(X2,X3)
    | unequally_directed_lines(X1,line_connecting(X2,X3))
    | before_on_line(X1,X2,X3) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_45,c_0_19]),c_0_19]),c_0_19]),c_0_19]) ).

cnf(c_0_49,negated_conjecture,
    ( unequally_directed_lines(line_connecting(esk2_0,esk1_0),X1)
    | unequally_directed_lines(line_connecting(esk2_0,esk1_0),reverse_line(X1)) ),
    inference(spm,[status(thm)],[c_0_46,c_0_44]) ).

fof(c_0_50,plain,
    ! [X29] : ~ unequally_directed_lines(X29,X29),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_47])]) ).

cnf(c_0_51,plain,
    ( ~ distinct_points(X2,X3)
    | unequally_directed_lines(X1,X4)
    | unequally_directed_lines(line_connecting(X2,X3),X4)
    | before_on_line(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_48]) ).

cnf(c_0_52,negated_conjecture,
    ( unequally_directed_lines(reverse_line(X1),X2)
    | unequally_directed_lines(line_connecting(esk2_0,esk1_0),X2)
    | unequally_directed_lines(line_connecting(esk2_0,esk1_0),X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_49]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ unequally_directed_lines(line_connecting(esk1_0,esk2_0),X1)
    | unequally_directed_lines(line_connecting(esk2_0,esk1_0),reverse_line(X1)) ),
    inference(spm,[status(thm)],[c_0_43,c_0_37]) ).

cnf(c_0_54,plain,
    ~ unequally_directed_lines(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_55,negated_conjecture,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(line_connecting(esk1_0,esk2_0),X2)
    | before_on_line(X1,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_51,c_0_22]) ).

cnf(c_0_56,negated_conjecture,
    ( unequally_directed_lines(reverse_line(X1),X1)
    | unequally_directed_lines(line_connecting(esk2_0,esk1_0),X1) ),
    inference(ef,[status(thm)],[c_0_52]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ unequally_directed_lines(line_connecting(esk1_0,esk2_0),X1)
    | ~ unequally_directed_lines(line_connecting(esk2_0,esk1_0),X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_53]) ).

cnf(c_0_58,negated_conjecture,
    ( unequally_directed_lines(line_connecting(esk1_0,esk2_0),X1)
    | before_on_line(X1,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_59,negated_conjecture,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(line_connecting(esk1_0,esk2_0),X2)
    | unequally_directed_lines(line_connecting(esk2_0,esk1_0),X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_37]) ).

cnf(c_0_60,negated_conjecture,
    ( ~ unequally_directed_lines(line_connecting(esk2_0,esk1_0),X1)
    | unequally_directed_lines(reverse_line(reverse_line(X1)),reverse_line(X1)) ),
    inference(spm,[status(thm)],[c_0_43,c_0_56]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ unequally_directed_lines(line_connecting(esk2_0,esk1_0),X1)
    | before_on_line(X1,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_62,plain,
    ( ~ before_on_line(X1,X2,X3)
    | ~ unequally_directed_lines(X1,line_connecting(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_63,negated_conjecture,
    ( unequally_directed_lines(line_connecting(esk2_0,esk1_0),X1)
    | unequally_directed_lines(X1,line_connecting(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_54,c_0_59]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ unequally_directed_lines(reverse_line(reverse_line(X1)),X1)
    | ~ unequally_directed_lines(line_connecting(esk2_0,esk1_0),X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_60]) ).

cnf(c_0_65,negated_conjecture,
    ( unequally_directed_lines(reverse_line(X1),X1)
    | before_on_line(X1,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_61,c_0_56]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ before_on_line(X1,esk1_0,esk2_0)
    | unequally_directed_lines(line_connecting(esk2_0,esk1_0),X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_67,negated_conjecture,
    ( ~ unequally_directed_lines(reverse_line(reverse_line(X1)),X1)
    | unequally_directed_lines(reverse_line(X1),X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_56]) ).

cnf(c_0_68,negated_conjecture,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(reverse_line(X1),X2)
    | before_on_line(X1,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_32,c_0_65]) ).

cnf(c_0_69,negated_conjecture,
    ( ~ unequally_directed_lines(line_connecting(esk2_0,esk1_0),X1)
    | ~ before_on_line(reverse_line(X1),esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_66]) ).

cnf(c_0_70,negated_conjecture,
    ( unequally_directed_lines(reverse_line(X1),X1)
    | before_on_line(reverse_line(X1),esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_71,negated_conjecture,
    unequally_directed_lines(reverse_line(X1),X1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_56]) ).

cnf(c_0_72,negated_conjecture,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(reverse_line(X1),X2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_71]) ).

cnf(c_0_73,negated_conjecture,
    unequally_directed_lines(X1,reverse_line(X1)),
    inference(spm,[status(thm)],[c_0_54,c_0_72]) ).

cnf(c_0_74,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_36,c_0_73]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO230+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  % Computer : n007.cluster.edu
% 0.10/0.41  % Model    : x86_64 x86_64
% 0.10/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.41  % Memory   : 8046.5625MB
% 0.10/0.41  % OS       : Linux 6.8.0-71-generic
% 0.10/0.41  % CPULimit : 300
% 0.10/0.41  % WCLimit  : 300
% 0.10/0.42  % DateTime : Sun Sep 20 14:01:20 UTC 2026
% 0.10/0.42  % CPUTime  : 
% 0.10/0.42  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.46  Running first-order theorem proving
% 0.16/0.46  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.53  % Version: 3.5.1
% 0.16/0.53  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.53  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.53  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.53  % Starting new_bool_3 with 300s (1) cores
% 0.16/0.53  % Starting new_bool_1 with 300s (1) cores
% 0.16/0.53  % Starting sh5l with 300s (1) cores
% 0.16/0.53  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3017897 completed with status 0
% 0.16/0.53  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.53  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.53  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.53  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.53  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.53  % No SInE strategy applied
% 0.16/0.53  % Search class: FGHNF-FFMF21-SFFFFFNN
% 0.16/0.53  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.53  % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.53  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.53  % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.16/0.53  % Starting new_bool_3 with 136s (1) cores
% 0.16/0.53  % Starting new_bool_1 with 136s (1) cores
% 0.16/0.53  % SubtermCWHack with pid 3017903 completed with status 0
% 0.16/0.53  % Result found by SubtermCWHack
% 0.16/0.53  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.53  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.53  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.53  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.53  % No SInE strategy applied
% 0.16/0.53  % Search class: FGHNF-FFMF21-SFFFFFNN
% 0.16/0.53  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.53  % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.53  % Preprocessing time       : 0.002 s
% 0.16/0.53  
% 0.16/0.53  % Proof found!
% 0.16/0.53  % SZS status Theorem
% 0.16/0.53  % SZS output start CNFRefutation
% See solution above
% 0.16/0.53  % Parsed axioms                        : 32
% 0.16/0.53  % Removed by relevancy pruning/SinE    : 0
% 0.16/0.53  % Initial clauses                      : 60
% 0.16/0.53  % Removed in clause preprocessing      : 0
% 0.16/0.53  % Initial clauses in saturation        : 60
% 0.16/0.53  % Processed clauses                    : 943
% 0.16/0.53  % ...of these trivial                  : 6
% 0.16/0.53  % ...subsumed                          : 713
% 0.16/0.53  % ...remaining for further processing  : 224
% 0.16/0.53  % Other redundant clauses eliminated   : 0
% 0.16/0.53  % Clauses deleted for lack of memory   : 0
% 0.16/0.53  % Backward-subsumed                    : 26
% 0.16/0.53  % Backward-rewritten                   : 12
% 0.16/0.53  % Generated clauses                    : 2315
% 0.16/0.53  % ...of the previous two non-redundant : 1772
% 0.16/0.53  % ...aggressively subsumed             : 0
% 0.16/0.53  % Contextual simplify-reflections      : 2
% 0.16/0.53  % Paramodulations                      : 1739
% 0.16/0.53  % Factorizations                       : 576
% 0.16/0.53  % NegExts                              : 0
% 0.16/0.53  % Equation resolutions                 : 0
% 0.16/0.53  % Disequality decompositions           : 0
% 0.16/0.53  % Total rewrite steps                  : 584
% 0.16/0.53  % ...of those cached                   : 557
% 0.16/0.53  % Propositional unsat checks           : 0
% 0.16/0.53  %    Propositional check models        : 0
% 0.16/0.53  %    Propositional check unsatisfiable : 0
% 0.16/0.53  %    Propositional clauses             : 0
% 0.16/0.53  %    Propositional clauses after purity: 0
% 0.16/0.53  %    Propositional unsat core size     : 0
% 0.16/0.53  %    Propositional preprocessing time  : 0.000
% 0.16/0.53  %    Propositional encoding time       : 0.000
% 0.16/0.53  %    Propositional solver time         : 0.000
% 0.16/0.53  %    Success case prop preproc time    : 0.000
% 0.16/0.53  %    Success case prop encoding time   : 0.000
% 0.16/0.53  %    Success case prop solver time     : 0.000
% 0.16/0.53  % Current number of processed clauses  : 186
% 0.16/0.53  %    Positive orientable unit clauses  : 24
% 0.16/0.53  %    Positive unorientable unit clauses: 0
% 0.16/0.53  %    Negative unit clauses             : 16
% 0.16/0.53  %    Non-unit-clauses                  : 146
% 0.16/0.53  % Current number of unprocessed clauses: 827
% 0.16/0.53  % ...number of literals in the above   : 3591
% 0.16/0.53  % Current number of archived formulas  : 0
% 0.16/0.53  % Current number of archived clauses   : 38
% 0.16/0.53  % Clause-clause subsumption calls (NU) : 11138
% 0.16/0.53  % Rec. Clause-clause subsumption calls : 4458
% 0.16/0.53  % Non-unit clause-clause subsumptions  : 661
% 0.16/0.53  % Unit Clause-clause subsumption calls : 309
% 0.16/0.53  % Rewrite failures with RHS unbound    : 0
% 0.16/0.53  % BW rewrite match attempts            : 59
% 0.16/0.53  % BW rewrite match successes           : 9
% 0.16/0.53  % Condensation attempts                : 0
% 0.16/0.53  % Condensation successes               : 0
% 0.16/0.53  % Termbank termtop insertions          : 26910
% 0.16/0.53  % Search garbage collected termcells   : 661
% 0.16/0.53  
% 0.16/0.53  % -------------------------------------------------
% 0.16/0.53  % User time                : 0.050 s
% 0.16/0.53  % System time              : 0.004 s
% 0.16/0.53  % Total time               : 0.055 s
% 0.16/0.53  % Maximum resident set size: 3676 pages
% 0.16/0.53  
% 0.16/0.53  % -------------------------------------------------
% 0.16/0.53  % User time                : 0.190 s
% 0.16/0.53  % System time              : 0.016 s
% 0.16/0.53  % Total time               : 0.206 s
% 0.16/0.53  % Maximum resident set size: 4608 pages
% 0.16/0.53  % E exiting
%------------------------------------------------------------------------------