TSTP Solution File: GEO260+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO260+1 : TPTP v8.1.2. Bugfixed v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 23:10:44 EDT 2023

% Result   : Theorem 3.05s 1.18s
% Output   : CNFRefutation 3.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   85 (  17 unt;   0 def)
%            Number of atoms       :  260 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  289 ( 114   ~; 105   |;  54   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  149 (   4 sgn;  90   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [X1] : ~ unequally_directed_lines(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag5) ).

fof(f11,axiom,
    ! [X1,X2,X5] :
      ( unequally_directed_lines(X1,X2)
     => ( unequally_directed_lines(X2,X5)
        | unequally_directed_lines(X1,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag6) ).

fof(f13,axiom,
    ! [X1,X2] :
      ( ( line(X2)
        & line(X1) )
     => ( unequally_directed_lines(X1,reverse_line(X2))
        | unequally_directed_lines(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag8) ).

fof(f14,axiom,
    ! [X1,X2] :
      ( ( unequally_directed_lines(X1,reverse_line(X2))
        & unequally_directed_lines(X1,X2) )
     => ( left_convergent_lines(X1,reverse_line(X2))
        | left_convergent_lines(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag9) ).

fof(f16,axiom,
    ! [X1,X2] :
      ~ ( left_convergent_lines(X1,reverse_line(X2))
        | left_convergent_lines(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag11) ).

fof(f18,axiom,
    ! [X1,X2] :
      ( ( unequally_directed_lines(X1,reverse_line(X2))
        & unequally_directed_lines(X1,X2)
        & line(X2)
        & line(X1) )
     => point(intersection_point(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco2) ).

fof(f20,axiom,
    ! [X1] :
      ( line(X1)
     => line(reverse_line(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco4) ).

fof(f22,axiom,
    ! [X1,X2] :
      ( ( unequally_directed_lines(X1,reverse_line(X2))
        & unequally_directed_lines(X1,X2) )
     => ( ~ apart_point_and_line(intersection_point(X1,X2),X2)
        & ~ apart_point_and_line(intersection_point(X1,X2),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco6) ).

fof(f25,axiom,
    ! [X0,X3] : ~ unequally_directed_lines(line_connecting(X0,X3),reverse_line(line_connecting(X3,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco9) ).

fof(f32,conjecture,
    ! [X1,X0,X3,X4] :
      ( ( distinct_points(X0,X3)
        & distinct_points(X3,X4)
        & distinct_points(X0,X4)
        & line(X1) )
     => ~ ( between_on_line(X1,X0,X4,X3)
          & between_on_line(X1,X0,X3,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f33,negated_conjecture,
    ~ ! [X1,X0,X3,X4] :
        ( ( distinct_points(X0,X3)
          & distinct_points(X3,X4)
          & distinct_points(X0,X4)
          & line(X1) )
       => ~ ( between_on_line(X1,X0,X4,X3)
            & between_on_line(X1,X0,X3,X4) ) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f41,plain,
    ! [X0] : ~ unequally_directed_lines(X0,X0),
    inference(rectify,[],[f10]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X0,X1)
     => ( unequally_directed_lines(X1,X2)
        | unequally_directed_lines(X0,X2) ) ),
    inference(rectify,[],[f11]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ( line(X1)
        & line(X0) )
     => ( unequally_directed_lines(X0,reverse_line(X1))
        | unequally_directed_lines(X0,X1) ) ),
    inference(rectify,[],[f13]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ( unequally_directed_lines(X0,reverse_line(X1))
        & unequally_directed_lines(X0,X1) )
     => ( left_convergent_lines(X0,reverse_line(X1))
        | left_convergent_lines(X0,X1) ) ),
    inference(rectify,[],[f14]) ).

fof(f46,plain,
    ! [X0,X1] :
      ~ ( left_convergent_lines(X0,reverse_line(X1))
        | left_convergent_lines(X0,X1) ),
    inference(rectify,[],[f16]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ( unequally_directed_lines(X0,reverse_line(X1))
        & unequally_directed_lines(X0,X1)
        & line(X1)
        & line(X0) )
     => point(intersection_point(X0,X1)) ),
    inference(rectify,[],[f18]) ).

fof(f50,plain,
    ! [X0] :
      ( line(X0)
     => line(reverse_line(X0)) ),
    inference(rectify,[],[f20]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ( unequally_directed_lines(X0,reverse_line(X1))
        & unequally_directed_lines(X0,X1) )
     => ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
        & ~ apart_point_and_line(intersection_point(X0,X1),X0) ) ),
    inference(rectify,[],[f22]) ).

fof(f54,plain,
    ! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
    inference(rectify,[],[f25]) ).

fof(f59,plain,
    ~ ! [X0,X1,X2,X3] :
        ( ( distinct_points(X1,X2)
          & distinct_points(X2,X3)
          & distinct_points(X1,X3)
          & line(X0) )
       => ~ ( between_on_line(X0,X1,X3,X2)
            & between_on_line(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f33]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f73,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(flattening,[],[f72]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | ~ line(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | ~ line(X0) ),
    inference(flattening,[],[f76]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(flattening,[],[f78]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ~ left_convergent_lines(X0,reverse_line(X1))
      & ~ left_convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( point(intersection_point(X0,X1))
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | ~ line(X0) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( point(intersection_point(X0,X1))
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | ~ line(X0) ),
    inference(flattening,[],[f84]) ).

fof(f88,plain,
    ! [X0] :
      ( line(reverse_line(X0))
      | ~ line(X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
        & ~ apart_point_and_line(intersection_point(X0,X1),X0) )
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
        & ~ apart_point_and_line(intersection_point(X0,X1),X0) )
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(flattening,[],[f90]) ).

fof(f102,plain,
    ? [X0,X1,X2,X3] :
      ( between_on_line(X0,X1,X3,X2)
      & between_on_line(X0,X1,X2,X3)
      & distinct_points(X1,X2)
      & distinct_points(X2,X3)
      & distinct_points(X1,X3)
      & line(X0) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f103,plain,
    ? [X0,X1,X2,X3] :
      ( between_on_line(X0,X1,X3,X2)
      & between_on_line(X0,X1,X2,X3)
      & distinct_points(X1,X2)
      & distinct_points(X2,X3)
      & distinct_points(X1,X3)
      & line(X0) ),
    inference(flattening,[],[f102]) ).

fof(f104,plain,
    ( ? [X0,X1,X2,X3] :
        ( between_on_line(X0,X1,X3,X2)
        & between_on_line(X0,X1,X2,X3)
        & distinct_points(X1,X2)
        & distinct_points(X2,X3)
        & distinct_points(X1,X3)
        & line(X0) )
   => ( between_on_line(sK0,sK1,sK3,sK2)
      & between_on_line(sK0,sK1,sK2,sK3)
      & distinct_points(sK1,sK2)
      & distinct_points(sK2,sK3)
      & distinct_points(sK1,sK3)
      & line(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f105,plain,
    ( between_on_line(sK0,sK1,sK3,sK2)
    & between_on_line(sK0,sK1,sK2,sK3)
    & distinct_points(sK1,sK2)
    & distinct_points(sK2,sK3)
    & distinct_points(sK1,sK3)
    & line(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f103,f104]) ).

fof(f122,plain,
    ! [X0] : ~ unequally_directed_lines(X0,X0),
    inference(cnf_transformation,[],[f41]) ).

fof(f123,plain,
    ! [X2,X0,X1] :
      ( unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | ~ line(X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f132,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,X1),
    inference(cnf_transformation,[],[f81]) ).

fof(f133,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f81]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( point(intersection_point(X0,X1))
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | ~ line(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f137,plain,
    ! [X0] :
      ( line(reverse_line(X0))
      | ~ line(X0) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X0)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f144,plain,
    ! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
    inference(cnf_transformation,[],[f54]) ).

fof(f151,plain,
    line(sK0),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_65,plain,
    ~ unequally_directed_lines(X0,X0),
    inference(cnf_transformation,[],[f122]) ).

cnf(c_66,plain,
    ( ~ unequally_directed_lines(X0,X1)
    | unequally_directed_lines(X0,X2)
    | unequally_directed_lines(X1,X2) ),
    inference(cnf_transformation,[],[f123]) ).

cnf(c_71,plain,
    ( ~ line(X0)
    | ~ line(X1)
    | unequally_directed_lines(X0,reverse_line(X1))
    | unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f128]) ).

cnf(c_72,plain,
    ( ~ unequally_directed_lines(X0,reverse_line(X1))
    | ~ unequally_directed_lines(X0,X1)
    | left_convergent_lines(X0,reverse_line(X1))
    | left_convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f129]) ).

cnf(c_75,plain,
    ~ left_convergent_lines(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f133]) ).

cnf(c_76,plain,
    ~ left_convergent_lines(X0,X1),
    inference(cnf_transformation,[],[f132]) ).

cnf(c_78,plain,
    ( ~ unequally_directed_lines(X0,reverse_line(X1))
    | ~ unequally_directed_lines(X0,X1)
    | ~ line(X0)
    | ~ line(X1)
    | point(intersection_point(X0,X1)) ),
    inference(cnf_transformation,[],[f135]) ).

cnf(c_80,plain,
    ( ~ line(X0)
    | line(reverse_line(X0)) ),
    inference(cnf_transformation,[],[f137]) ).

cnf(c_84,plain,
    ( ~ apart_point_and_line(intersection_point(X0,X1),X0)
    | ~ unequally_directed_lines(X0,reverse_line(X1))
    | ~ unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f140]) ).

cnf(c_87,plain,
    ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
    inference(cnf_transformation,[],[f144]) ).

cnf(c_99,negated_conjecture,
    line(sK0),
    inference(cnf_transformation,[],[f151]) ).

cnf(c_112,plain,
    ~ unequally_directed_lines(line_connecting(sK1,sK1),reverse_line(line_connecting(sK1,sK1))),
    inference(instantiation,[status(thm)],[c_87]) ).

cnf(c_127,plain,
    ( ~ unequally_directed_lines(X0,reverse_line(X1))
    | ~ unequally_directed_lines(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_84,c_76,c_75,c_72]) ).

cnf(c_143,plain,
    ( ~ unequally_directed_lines(X0,X1)
    | ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_78,c_127]) ).

cnf(c_144,plain,
    ( ~ unequally_directed_lines(X0,reverse_line(X1))
    | ~ unequally_directed_lines(X0,X1) ),
    inference(renaming,[status(thm)],[c_143]) ).

cnf(c_424,plain,
    ( ~ line(sK0)
    | line(reverse_line(sK0)) ),
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_441,plain,
    ( ~ line(reverse_line(sK0))
    | ~ line(X0)
    | unequally_directed_lines(reverse_line(sK0),reverse_line(X0))
    | unequally_directed_lines(reverse_line(sK0),X0) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_452,plain,
    ( ~ unequally_directed_lines(sK0,X0)
    | unequally_directed_lines(X0,X1)
    | unequally_directed_lines(sK0,X1) ),
    inference(instantiation,[status(thm)],[c_66]) ).

cnf(c_453,plain,
    ( ~ unequally_directed_lines(sK0,reverse_line(X0))
    | ~ unequally_directed_lines(sK0,X0) ),
    inference(instantiation,[status(thm)],[c_144]) ).

cnf(c_472,plain,
    ( ~ line(reverse_line(sK0))
    | ~ line(sK0)
    | unequally_directed_lines(reverse_line(sK0),reverse_line(sK0))
    | unequally_directed_lines(reverse_line(sK0),sK0) ),
    inference(instantiation,[status(thm)],[c_441]) ).

cnf(c_483,plain,
    ( ~ unequally_directed_lines(reverse_line(sK0),sK0)
    | unequally_directed_lines(reverse_line(sK0),X0)
    | unequally_directed_lines(sK0,X0) ),
    inference(instantiation,[status(thm)],[c_66]) ).

cnf(c_491,plain,
    ~ unequally_directed_lines(reverse_line(sK0),reverse_line(sK0)),
    inference(instantiation,[status(thm)],[c_65]) ).

cnf(c_507,plain,
    ( ~ unequally_directed_lines(sK0,X0)
    | unequally_directed_lines(X0,reverse_line(X1))
    | unequally_directed_lines(sK0,reverse_line(X1)) ),
    inference(instantiation,[status(thm)],[c_452]) ).

cnf(c_585,plain,
    ( ~ unequally_directed_lines(reverse_line(sK0),X0)
    | unequally_directed_lines(reverse_line(sK0),X1)
    | unequally_directed_lines(X0,X1) ),
    inference(instantiation,[status(thm)],[c_66]) ).

cnf(c_586,plain,
    ( ~ unequally_directed_lines(reverse_line(sK0),reverse_line(X0))
    | ~ unequally_directed_lines(reverse_line(sK0),X0) ),
    inference(instantiation,[status(thm)],[c_144]) ).

cnf(c_1036,plain,
    ( ~ unequally_directed_lines(reverse_line(sK0),X0)
    | unequally_directed_lines(reverse_line(sK0),reverse_line(X1))
    | unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(instantiation,[status(thm)],[c_585]) ).

cnf(c_1409,plain,
    ( ~ unequally_directed_lines(sK0,line_connecting(X0,X1))
    | unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0)))
    | unequally_directed_lines(sK0,reverse_line(line_connecting(X1,X0))) ),
    inference(instantiation,[status(thm)],[c_507]) ).

cnf(c_1410,plain,
    ( ~ unequally_directed_lines(sK0,line_connecting(sK1,sK1))
    | unequally_directed_lines(line_connecting(sK1,sK1),reverse_line(line_connecting(sK1,sK1)))
    | unequally_directed_lines(sK0,reverse_line(line_connecting(sK1,sK1))) ),
    inference(instantiation,[status(thm)],[c_1409]) ).

cnf(c_5186,plain,
    ( ~ unequally_directed_lines(reverse_line(sK0),sK0)
    | unequally_directed_lines(reverse_line(sK0),line_connecting(X0,X1))
    | unequally_directed_lines(sK0,line_connecting(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_483]) ).

cnf(c_5187,plain,
    ( ~ unequally_directed_lines(reverse_line(sK0),sK0)
    | unequally_directed_lines(reverse_line(sK0),line_connecting(sK1,sK1))
    | unequally_directed_lines(sK0,line_connecting(sK1,sK1)) ),
    inference(instantiation,[status(thm)],[c_5186]) ).

cnf(c_6520,plain,
    ( ~ unequally_directed_lines(reverse_line(sK0),reverse_line(line_connecting(X0,X1)))
    | ~ unequally_directed_lines(reverse_line(sK0),line_connecting(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_586]) ).

cnf(c_6521,plain,
    ( ~ unequally_directed_lines(reverse_line(sK0),reverse_line(line_connecting(sK1,sK1)))
    | ~ unequally_directed_lines(reverse_line(sK0),line_connecting(sK1,sK1)) ),
    inference(instantiation,[status(thm)],[c_6520]) ).

cnf(c_6786,plain,
    ( ~ unequally_directed_lines(sK0,reverse_line(line_connecting(X0,X1)))
    | ~ unequally_directed_lines(sK0,line_connecting(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_453]) ).

cnf(c_6787,plain,
    ( ~ unequally_directed_lines(sK0,reverse_line(line_connecting(sK1,sK1)))
    | ~ unequally_directed_lines(sK0,line_connecting(sK1,sK1)) ),
    inference(instantiation,[status(thm)],[c_6786]) ).

cnf(c_11154,plain,
    ( ~ unequally_directed_lines(reverse_line(sK0),line_connecting(X0,X1))
    | unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0)))
    | unequally_directed_lines(reverse_line(sK0),reverse_line(line_connecting(X1,X0))) ),
    inference(instantiation,[status(thm)],[c_1036]) ).

cnf(c_11155,plain,
    ( ~ unequally_directed_lines(reverse_line(sK0),line_connecting(sK1,sK1))
    | unequally_directed_lines(line_connecting(sK1,sK1),reverse_line(line_connecting(sK1,sK1)))
    | unequally_directed_lines(reverse_line(sK0),reverse_line(line_connecting(sK1,sK1))) ),
    inference(instantiation,[status(thm)],[c_11154]) ).

cnf(c_15353,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_11155,c_6787,c_6521,c_5187,c_1410,c_491,c_472,c_424,c_112,c_99]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO260+1 : TPTP v8.1.2. Bugfixed v8.1.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n031.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 22:08:11 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.05/1.18  % SZS status Started for theBenchmark.p
% 3.05/1.18  % SZS status Theorem for theBenchmark.p
% 3.05/1.18  
% 3.05/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.05/1.18  
% 3.05/1.18  ------  iProver source info
% 3.05/1.18  
% 3.05/1.18  git: date: 2023-05-31 18:12:56 +0000
% 3.05/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.05/1.18  git: non_committed_changes: false
% 3.05/1.18  git: last_make_outside_of_git: false
% 3.05/1.18  
% 3.05/1.18  ------ Parsing...
% 3.05/1.18  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.05/1.18  
% 3.05/1.18  ------ Preprocessing... sf_s  rm: 11 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.05/1.18  
% 3.05/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.05/1.18  ------ Proving...
% 3.05/1.18  ------ Problem Properties 
% 3.05/1.18  
% 3.05/1.18  
% 3.05/1.18  clauses                                 22
% 3.05/1.18  conjectures                             4
% 3.05/1.18  EPR                                     16
% 3.05/1.18  Horn                                    12
% 3.05/1.18  unary                                   8
% 3.05/1.18  binary                                  11
% 3.05/1.18  lits                                    40
% 3.05/1.18  lits eq                                 0
% 3.05/1.18  fd_pure                                 0
% 3.05/1.18  fd_pseudo                               0
% 3.05/1.18  fd_cond                                 0
% 3.05/1.18  fd_pseudo_cond                          0
% 3.05/1.18  AC symbols                              0
% 3.05/1.18  
% 3.05/1.18  ------ Schedule dynamic 5 is on 
% 3.05/1.18  
% 3.05/1.18  ------ no equalities: superposition off 
% 3.05/1.18  
% 3.05/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.05/1.18  
% 3.05/1.18  
% 3.05/1.18  ------ 
% 3.05/1.18  Current options:
% 3.05/1.18  ------ 
% 3.05/1.18  
% 3.05/1.18  
% 3.05/1.18  
% 3.05/1.18  
% 3.05/1.18  ------ Proving...
% 3.05/1.18  
% 3.05/1.18  
% 3.05/1.18  % SZS status Theorem for theBenchmark.p
% 3.05/1.18  
% 3.05/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.05/1.18  
% 3.05/1.18  
%------------------------------------------------------------------------------