TSTP Solution File: GEO205+2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO205+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n004.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 23:10:15 EDT 2023

% Result   : Theorem 2.51s 1.16s
% Output   : CNFRefutation 2.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   86 (  14 unt;   0 def)
%            Number of atoms       :  261 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  283 ( 108   ~; 145   |;  18   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :  156 (   0 sgn;  99   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : ~ distinct_points(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).

fof(f2,axiom,
    ! [X0] : ~ distinct_lines(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart2) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( distinct_points(X0,X1)
     => ( distinct_points(X1,X2)
        | distinct_points(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( distinct_lines(X0,X1)
     => ( distinct_lines(X1,X2)
        | distinct_lines(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( convergent_lines(X0,X1)
     => ( convergent_lines(X1,X2)
        | convergent_lines(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart6) ).

fof(f8,axiom,
    ! [X0,X1,X2] :
      ( convergent_lines(X0,X1)
     => ( ( apart_point_and_line(X2,X1)
          | apart_point_and_line(X2,X0) )
       => distinct_points(X2,intersection_point(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con2) ).

fof(f9,axiom,
    ! [X0,X1,X3,X4] :
      ( ( distinct_lines(X3,X4)
        & distinct_points(X0,X1) )
     => ( apart_point_and_line(X1,X4)
        | apart_point_and_line(X1,X3)
        | apart_point_and_line(X0,X4)
        | apart_point_and_line(X0,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).

fof(f11,axiom,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X1)
     => ( apart_point_and_line(X0,X2)
        | distinct_lines(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
     => distinct_lines(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).

fof(f13,conjecture,
    ! [X0,X1,X2] :
      ( ( ~ distinct_lines(X1,X2)
        & convergent_lines(X0,X1) )
     => ( ~ distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
        & convergent_lines(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f14,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( ~ distinct_lines(X1,X2)
          & convergent_lines(X0,X1) )
       => ( ~ distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
          & convergent_lines(X0,X2) ) ),
    inference(negated_conjecture,[],[f13]) ).

fof(f15,plain,
    ! [X0,X1,X2,X3] :
      ( ( distinct_lines(X2,X3)
        & distinct_points(X0,X1) )
     => ( apart_point_and_line(X1,X3)
        | apart_point_and_line(X1,X2)
        | apart_point_and_line(X0,X3)
        | apart_point_and_line(X0,X2) ) ),
    inference(rectify,[],[f9]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( distinct_points(X1,X2)
      | distinct_points(X0,X2)
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f17,plain,
    ! [X0,X1,X2] :
      ( distinct_points(X1,X2)
      | distinct_points(X0,X2)
      | ~ distinct_points(X0,X1) ),
    inference(flattening,[],[f16]) ).

fof(f18,plain,
    ! [X0,X1,X2] :
      ( distinct_lines(X1,X2)
      | distinct_lines(X0,X2)
      | ~ distinct_lines(X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( distinct_lines(X1,X2)
      | distinct_lines(X0,X2)
      | ~ distinct_lines(X0,X1) ),
    inference(flattening,[],[f18]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(flattening,[],[f20]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( distinct_points(X2,intersection_point(X0,X1))
      | ( ~ apart_point_and_line(X2,X1)
        & ~ apart_point_and_line(X2,X0) )
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( distinct_points(X2,intersection_point(X0,X1))
      | ( ~ apart_point_and_line(X2,X1)
        & ~ apart_point_and_line(X2,X0) )
      | ~ convergent_lines(X0,X1) ),
    inference(flattening,[],[f24]) ).

fof(f26,plain,
    ! [X0,X1,X2,X3] :
      ( apart_point_and_line(X1,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X0,X2)
      | ~ distinct_lines(X2,X3)
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f27,plain,
    ! [X0,X1,X2,X3] :
      ( apart_point_and_line(X1,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X0,X2)
      | ~ distinct_lines(X2,X3)
      | ~ distinct_points(X0,X1) ),
    inference(flattening,[],[f26]) ).

fof(f30,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(flattening,[],[f30]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( distinct_lines(X0,X1)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f33,plain,
    ? [X0,X1,X2] :
      ( ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
        | ~ convergent_lines(X0,X2) )
      & ~ distinct_lines(X1,X2)
      & convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f34,plain,
    ? [X0,X1,X2] :
      ( ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
        | ~ convergent_lines(X0,X2) )
      & ~ distinct_lines(X1,X2)
      & convergent_lines(X0,X1) ),
    inference(flattening,[],[f33]) ).

fof(f35,plain,
    ( ? [X0,X1,X2] :
        ( ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
          | ~ convergent_lines(X0,X2) )
        & ~ distinct_lines(X1,X2)
        & convergent_lines(X0,X1) )
   => ( ( distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
        | ~ convergent_lines(sK0,sK2) )
      & ~ distinct_lines(sK1,sK2)
      & convergent_lines(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f36,plain,
    ( ( distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
      | ~ convergent_lines(sK0,sK2) )
    & ~ distinct_lines(sK1,sK2)
    & convergent_lines(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f34,f35]) ).

fof(f37,plain,
    ! [X0] : ~ distinct_points(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f38,plain,
    ! [X0] : ~ distinct_lines(X0,X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f40,plain,
    ! [X2,X0,X1] :
      ( distinct_points(X1,X2)
      | distinct_points(X0,X2)
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f41,plain,
    ! [X2,X0,X1] :
      ( distinct_lines(X1,X2)
      | distinct_lines(X0,X2)
      | ~ distinct_lines(X0,X1) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f42,plain,
    ! [X2,X0,X1] :
      ( convergent_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f45,plain,
    ! [X2,X0,X1] :
      ( distinct_points(X2,intersection_point(X0,X1))
      | ~ apart_point_and_line(X2,X0)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f46,plain,
    ! [X2,X0,X1] :
      ( distinct_points(X2,intersection_point(X0,X1))
      | ~ apart_point_and_line(X2,X1)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f47,plain,
    ! [X2,X3,X0,X1] :
      ( apart_point_and_line(X1,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X0,X2)
      | ~ distinct_lines(X2,X3)
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( distinct_lines(X0,X1)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f51,plain,
    convergent_lines(sK0,sK1),
    inference(cnf_transformation,[],[f36]) ).

fof(f52,plain,
    ~ distinct_lines(sK1,sK2),
    inference(cnf_transformation,[],[f36]) ).

fof(f53,plain,
    ( distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
    | ~ convergent_lines(sK0,sK2) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_49,plain,
    ~ distinct_points(X0,X0),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_50,plain,
    ~ distinct_lines(X0,X0),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_52,plain,
    ( ~ distinct_points(X0,X1)
    | distinct_points(X0,X2)
    | distinct_points(X1,X2) ),
    inference(cnf_transformation,[],[f40]) ).

cnf(c_53,plain,
    ( ~ distinct_lines(X0,X1)
    | distinct_lines(X0,X2)
    | distinct_lines(X1,X2) ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_54,plain,
    ( ~ convergent_lines(X0,X1)
    | convergent_lines(X0,X2)
    | convergent_lines(X1,X2) ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_57,plain,
    ( ~ convergent_lines(X0,X1)
    | ~ apart_point_and_line(X2,X1)
    | distinct_points(X2,intersection_point(X0,X1)) ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_58,plain,
    ( ~ convergent_lines(X0,X1)
    | ~ apart_point_and_line(X2,X0)
    | distinct_points(X2,intersection_point(X0,X1)) ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_59,plain,
    ( ~ distinct_points(X0,X1)
    | ~ distinct_lines(X2,X3)
    | apart_point_and_line(X0,X2)
    | apart_point_and_line(X0,X3)
    | apart_point_and_line(X1,X2)
    | apart_point_and_line(X1,X3) ),
    inference(cnf_transformation,[],[f47]) ).

cnf(c_61,plain,
    ( ~ apart_point_and_line(X0,X1)
    | distinct_lines(X1,X2)
    | apart_point_and_line(X0,X2) ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_62,plain,
    ( ~ convergent_lines(X0,X1)
    | distinct_lines(X0,X1) ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_63,negated_conjecture,
    ( ~ convergent_lines(sK0,sK2)
    | distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)) ),
    inference(cnf_transformation,[],[f53]) ).

cnf(c_64,negated_conjecture,
    ~ distinct_lines(sK1,sK2),
    inference(cnf_transformation,[],[f52]) ).

cnf(c_65,negated_conjecture,
    convergent_lines(sK0,sK1),
    inference(cnf_transformation,[],[f51]) ).

cnf(c_153,plain,
    ( ~ convergent_lines(sK0,sK1)
    | distinct_lines(sK0,sK1) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_154,plain,
    ( ~ convergent_lines(sK0,sK1)
    | convergent_lines(sK0,X0)
    | convergent_lines(sK1,X0) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_156,plain,
    ( ~ apart_point_and_line(X0,sK1)
    | ~ convergent_lines(sK0,sK1)
    | distinct_points(X0,intersection_point(sK0,sK1)) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_160,plain,
    ( ~ distinct_lines(sK0,sK1)
    | distinct_lines(sK0,X0)
    | distinct_lines(sK1,X0) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_166,plain,
    ( ~ convergent_lines(sK1,X0)
    | distinct_lines(sK1,X0) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_170,plain,
    ( ~ apart_point_and_line(intersection_point(sK0,sK1),sK1)
    | ~ convergent_lines(sK0,sK1)
    | distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK1)) ),
    inference(instantiation,[status(thm)],[c_156]) ).

cnf(c_171,plain,
    ~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK1)),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_172,plain,
    ( ~ distinct_points(X0,intersection_point(sK0,sK1))
    | ~ distinct_lines(X1,X2)
    | apart_point_and_line(intersection_point(sK0,sK1),X1)
    | apart_point_and_line(intersection_point(sK0,sK1),X2)
    | apart_point_and_line(X0,X1)
    | apart_point_and_line(X0,X2) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_192,plain,
    ( ~ convergent_lines(sK1,sK2)
    | distinct_lines(sK1,sK2) ),
    inference(instantiation,[status(thm)],[c_166]) ).

cnf(c_195,plain,
    ( ~ distinct_lines(sK0,sK1)
    | distinct_lines(sK0,sK2)
    | distinct_lines(sK1,sK2) ),
    inference(instantiation,[status(thm)],[c_160]) ).

cnf(c_202,plain,
    ( ~ convergent_lines(sK0,sK1)
    | convergent_lines(sK0,sK2)
    | convergent_lines(sK1,sK2) ),
    inference(instantiation,[status(thm)],[c_154]) ).

cnf(c_212,plain,
    ( ~ apart_point_and_line(X0,X1)
    | ~ convergent_lines(X1,sK1)
    | distinct_points(X0,intersection_point(X1,sK1)) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_228,plain,
    ( ~ apart_point_and_line(X0,sK2)
    | ~ convergent_lines(sK0,sK2)
    | distinct_points(X0,intersection_point(sK0,sK2)) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_235,plain,
    ( ~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
    | distinct_points(intersection_point(sK0,sK1),X0)
    | distinct_points(intersection_point(sK0,sK2),X0) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_242,plain,
    ( ~ apart_point_and_line(X0,X1)
    | ~ convergent_lines(X1,sK2)
    | distinct_points(X0,intersection_point(X1,sK2)) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_250,plain,
    ( ~ distinct_lines(X0,sK1)
    | distinct_lines(X0,X1)
    | distinct_lines(sK1,X1) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_269,plain,
    ( ~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
    | distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK1))
    | distinct_points(intersection_point(sK0,sK2),intersection_point(sK0,sK1)) ),
    inference(instantiation,[status(thm)],[c_235]) ).

cnf(c_270,plain,
    ( ~ distinct_points(intersection_point(sK0,sK2),intersection_point(sK0,sK1))
    | ~ distinct_lines(X0,X1)
    | apart_point_and_line(intersection_point(sK0,sK1),X0)
    | apart_point_and_line(intersection_point(sK0,sK1),X1)
    | apart_point_and_line(intersection_point(sK0,sK2),X0)
    | apart_point_and_line(intersection_point(sK0,sK2),X1) ),
    inference(instantiation,[status(thm)],[c_172]) ).

cnf(c_313,plain,
    ~ distinct_lines(sK2,sK2),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_320,plain,
    ( ~ distinct_lines(X0,sK1)
    | distinct_lines(X0,sK2)
    | distinct_lines(sK1,sK2) ),
    inference(instantiation,[status(thm)],[c_250]) ).

cnf(c_342,plain,
    ( ~ apart_point_and_line(intersection_point(sK0,sK1),sK0)
    | ~ convergent_lines(sK0,sK1)
    | distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK1)) ),
    inference(instantiation,[status(thm)],[c_212]) ).

cnf(c_375,plain,
    ( ~ apart_point_and_line(intersection_point(sK0,sK1),X0)
    | apart_point_and_line(intersection_point(sK0,sK1),X1)
    | distinct_lines(X0,X1) ),
    inference(instantiation,[status(thm)],[c_61]) ).

cnf(c_553,plain,
    ( ~ distinct_lines(sK2,sK1)
    | distinct_lines(sK1,sK2)
    | distinct_lines(sK2,sK2) ),
    inference(instantiation,[status(thm)],[c_320]) ).

cnf(c_599,plain,
    ( ~ apart_point_and_line(intersection_point(sK0,sK2),X0)
    | ~ convergent_lines(X0,sK2)
    | distinct_points(intersection_point(sK0,sK2),intersection_point(X0,sK2)) ),
    inference(instantiation,[status(thm)],[c_242]) ).

cnf(c_607,plain,
    ( ~ apart_point_and_line(intersection_point(sK0,sK2),sK0)
    | ~ convergent_lines(sK0,sK2)
    | distinct_points(intersection_point(sK0,sK2),intersection_point(sK0,sK2)) ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_850,plain,
    ( ~ distinct_points(intersection_point(sK0,sK2),intersection_point(sK0,sK1))
    | ~ distinct_lines(sK0,sK2)
    | apart_point_and_line(intersection_point(sK0,sK1),sK0)
    | apart_point_and_line(intersection_point(sK0,sK1),sK2)
    | apart_point_and_line(intersection_point(sK0,sK2),sK0)
    | apart_point_and_line(intersection_point(sK0,sK2),sK2) ),
    inference(instantiation,[status(thm)],[c_270]) ).

cnf(c_982,plain,
    ( ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
    | apart_point_and_line(intersection_point(sK0,sK1),X0)
    | distinct_lines(sK2,X0) ),
    inference(instantiation,[status(thm)],[c_375]) ).

cnf(c_1073,plain,
    ( ~ apart_point_and_line(intersection_point(sK0,sK2),sK2)
    | ~ convergent_lines(sK0,sK2)
    | distinct_points(intersection_point(sK0,sK2),intersection_point(sK0,sK2)) ),
    inference(instantiation,[status(thm)],[c_228]) ).

cnf(c_1133,plain,
    ~ distinct_points(intersection_point(sK0,sK2),intersection_point(sK0,sK2)),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_1430,plain,
    ( ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
    | apart_point_and_line(intersection_point(sK0,sK1),sK1)
    | distinct_lines(sK2,sK1) ),
    inference(instantiation,[status(thm)],[c_982]) ).

cnf(c_1431,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1430,c_1133,c_1073,c_850,c_607,c_553,c_342,c_313,c_269,c_202,c_195,c_192,c_171,c_170,c_153,c_63,c_64,c_65]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO205+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.36  % Computer : n004.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Tue Aug 29 23:31:37 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.21/0.50  Running first-order theorem proving
% 0.21/0.50  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.51/1.16  % SZS status Started for theBenchmark.p
% 2.51/1.16  % SZS status Theorem for theBenchmark.p
% 2.51/1.16  
% 2.51/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.51/1.16  
% 2.51/1.16  ------  iProver source info
% 2.51/1.16  
% 2.51/1.16  git: date: 2023-05-31 18:12:56 +0000
% 2.51/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.51/1.16  git: non_committed_changes: false
% 2.51/1.16  git: last_make_outside_of_git: false
% 2.51/1.16  
% 2.51/1.16  ------ Parsing...
% 2.51/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.51/1.16  
% 2.51/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.51/1.16  
% 2.51/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.51/1.16  ------ Proving...
% 2.51/1.16  ------ Problem Properties 
% 2.51/1.16  
% 2.51/1.16  
% 2.51/1.16  clauses                                 17
% 2.51/1.16  conjectures                             3
% 2.51/1.16  EPR                                     12
% 2.51/1.16  Horn                                    11
% 2.51/1.16  unary                                   5
% 2.51/1.16  binary                                  2
% 2.51/1.16  lits                                    42
% 2.51/1.16  lits eq                                 0
% 2.51/1.16  fd_pure                                 0
% 2.51/1.16  fd_pseudo                               0
% 2.51/1.16  fd_cond                                 0
% 2.51/1.16  fd_pseudo_cond                          0
% 2.51/1.16  AC symbols                              0
% 2.51/1.16  
% 2.51/1.16  ------ Schedule dynamic 5 is on 
% 2.51/1.16  
% 2.51/1.16  ------ no equalities: superposition off 
% 2.51/1.16  
% 2.51/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.51/1.16  
% 2.51/1.16  
% 2.51/1.16  ------ 
% 2.51/1.16  Current options:
% 2.51/1.16  ------ 
% 2.51/1.16  
% 2.51/1.16  
% 2.51/1.16  
% 2.51/1.16  
% 2.51/1.16  ------ Proving...
% 2.51/1.16  
% 2.51/1.16  
% 2.51/1.16  % SZS status Theorem for theBenchmark.p
% 2.51/1.16  
% 2.51/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.51/1.16  
% 2.51/1.16  
%------------------------------------------------------------------------------