TSTP Solution File: GEO185+3 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GEO185+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %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  : 600s
% DateTime : Sat Jul 16 05:25:03 EDT 2022

% Result   : Theorem 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   80 (  22 unt;   0 def)
%            Number of atoms       :  178 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  168 (  70   ~;  49   |;  31   &)
%                                         (  10 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :  113 (   0 sgn  83   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ci3,axiom,
    ! [X,Y] :
      ( convergent_lines(X,Y)
     => ~ apart_point_and_line(intersection_point(X,Y),X) ) ).

fof(ci4,axiom,
    ! [X,Y] :
      ( convergent_lines(X,Y)
     => ~ apart_point_and_line(intersection_point(X,Y),Y) ) ).

fof(ceq1,axiom,
    ! [X,Y,Z] :
      ( apart_point_and_line(X,Y)
     => ( distinct_points(X,Z)
        | apart_point_and_line(Z,Y) ) ) ).

fof(ax1,axiom,
    ! [X,Y] :
      ( equal_points(X,Y)
    <=> ~ distinct_points(X,Y) ) ).

fof(a4,axiom,
    ! [X,Y] :
      ( incident_point_and_line(X,Y)
    <=> ~ apart_point_and_line(X,Y) ) ).

fof(con,conjecture,
    ! [X,Y,U,V] :
      ( ( distinct_points(X,Y)
        & convergent_lines(U,V)
        & equal_points(X,intersection_point(U,V)) )
     => ( incident_point_and_line(X,U)
        & incident_point_and_line(X,V) ) ) ).

fof(subgoal_0,plain,
    ! [X,Y,U,V] :
      ( ( distinct_points(X,Y)
        & convergent_lines(U,V)
        & equal_points(X,intersection_point(U,V)) )
     => incident_point_and_line(X,U) ),
    inference(strip,[],[con]) ).

fof(subgoal_1,plain,
    ! [X,Y,U,V] :
      ( ( distinct_points(X,Y)
        & convergent_lines(U,V)
        & equal_points(X,intersection_point(U,V))
        & incident_point_and_line(X,U) )
     => incident_point_and_line(X,V) ),
    inference(strip,[],[con]) ).

fof(negate_0_0,plain,
    ~ ! [X,Y,U,V] :
        ( ( distinct_points(X,Y)
          & convergent_lines(U,V)
          & equal_points(X,intersection_point(U,V)) )
       => incident_point_and_line(X,U) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ! [X,Y] :
      ( ~ apart_point_and_line(intersection_point(X,Y),X)
      | ~ convergent_lines(X,Y) ),
    inference(canonicalize,[],[ci3]) ).

fof(normalize_0_1,plain,
    ! [X,Y] :
      ( ~ apart_point_and_line(intersection_point(X,Y),X)
      | ~ convergent_lines(X,Y) ),
    inference(specialize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ? [U,V,X,Y] :
      ( ~ incident_point_and_line(X,U)
      & convergent_lines(U,V)
      & distinct_points(X,Y)
      & equal_points(X,intersection_point(U,V)) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_3,plain,
    ( ~ incident_point_and_line(skolemFOFtoCNF_X,skolemFOFtoCNF_U)
    & convergent_lines(skolemFOFtoCNF_U,skolemFOFtoCNF_V)
    & distinct_points(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
    & equal_points(skolemFOFtoCNF_X,intersection_point(skolemFOFtoCNF_U,skolemFOFtoCNF_V)) ),
    inference(skolemize,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    equal_points(skolemFOFtoCNF_X,intersection_point(skolemFOFtoCNF_U,skolemFOFtoCNF_V)),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [X,Y] :
      ( ~ distinct_points(X,Y)
    <=> equal_points(X,Y) ),
    inference(canonicalize,[],[ax1]) ).

fof(normalize_0_6,plain,
    ! [X,Y] :
      ( ~ distinct_points(X,Y)
    <=> equal_points(X,Y) ),
    inference(specialize,[],[normalize_0_5]) ).

fof(normalize_0_7,plain,
    ! [X,Y] :
      ( ( ~ distinct_points(X,Y)
        | ~ equal_points(X,Y) )
      & ( distinct_points(X,Y)
        | equal_points(X,Y) ) ),
    inference(clausify,[],[normalize_0_6]) ).

fof(normalize_0_8,plain,
    ! [X,Y] :
      ( ~ distinct_points(X,Y)
      | ~ equal_points(X,Y) ),
    inference(conjunct,[],[normalize_0_7]) ).

fof(normalize_0_9,plain,
    ~ incident_point_and_line(skolemFOFtoCNF_X,skolemFOFtoCNF_U),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_10,plain,
    ! [X,Y] :
      ( ~ apart_point_and_line(X,Y)
    <=> incident_point_and_line(X,Y) ),
    inference(canonicalize,[],[a4]) ).

fof(normalize_0_11,plain,
    ! [X,Y] :
      ( ~ apart_point_and_line(X,Y)
    <=> incident_point_and_line(X,Y) ),
    inference(specialize,[],[normalize_0_10]) ).

fof(normalize_0_12,plain,
    ! [X,Y] :
      ( ( ~ apart_point_and_line(X,Y)
        | ~ incident_point_and_line(X,Y) )
      & ( apart_point_and_line(X,Y)
        | incident_point_and_line(X,Y) ) ),
    inference(clausify,[],[normalize_0_11]) ).

fof(normalize_0_13,plain,
    ! [X,Y] :
      ( apart_point_and_line(X,Y)
      | incident_point_and_line(X,Y) ),
    inference(conjunct,[],[normalize_0_12]) ).

fof(normalize_0_14,plain,
    ! [X,Y,Z] :
      ( ~ apart_point_and_line(X,Y)
      | apart_point_and_line(Z,Y)
      | distinct_points(X,Z) ),
    inference(canonicalize,[],[ceq1]) ).

fof(normalize_0_15,plain,
    ! [X,Y,Z] :
      ( ~ apart_point_and_line(X,Y)
      | apart_point_and_line(Z,Y)
      | distinct_points(X,Z) ),
    inference(specialize,[],[normalize_0_14]) ).

fof(normalize_0_16,plain,
    convergent_lines(skolemFOFtoCNF_U,skolemFOFtoCNF_V),
    inference(conjunct,[],[normalize_0_3]) ).

cnf(refute_0_0,plain,
    ( ~ apart_point_and_line(intersection_point(X,Y),X)
    | ~ convergent_lines(X,Y) ),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_1,plain,
    ( ~ apart_point_and_line(intersection_point(skolemFOFtoCNF_U,skolemFOFtoCNF_V),skolemFOFtoCNF_U)
    | ~ convergent_lines(skolemFOFtoCNF_U,skolemFOFtoCNF_V) ),
    inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_U)),bind(Y,$fot(skolemFOFtoCNF_V))]]) ).

cnf(refute_0_2,plain,
    equal_points(skolemFOFtoCNF_X,intersection_point(skolemFOFtoCNF_U,skolemFOFtoCNF_V)),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_3,plain,
    ( ~ distinct_points(X,Y)
    | ~ equal_points(X,Y) ),
    inference(canonicalize,[],[normalize_0_8]) ).

cnf(refute_0_4,plain,
    ( ~ distinct_points(skolemFOFtoCNF_X,intersection_point(skolemFOFtoCNF_U,skolemFOFtoCNF_V))
    | ~ equal_points(skolemFOFtoCNF_X,intersection_point(skolemFOFtoCNF_U,skolemFOFtoCNF_V)) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(intersection_point(skolemFOFtoCNF_U,skolemFOFtoCNF_V)))]]) ).

cnf(refute_0_5,plain,
    ~ distinct_points(skolemFOFtoCNF_X,intersection_point(skolemFOFtoCNF_U,skolemFOFtoCNF_V)),
    inference(resolve,[$cnf( equal_points(skolemFOFtoCNF_X,intersection_point(skolemFOFtoCNF_U,skolemFOFtoCNF_V)) )],[refute_0_2,refute_0_4]) ).

cnf(refute_0_6,plain,
    ~ incident_point_and_line(skolemFOFtoCNF_X,skolemFOFtoCNF_U),
    inference(canonicalize,[],[normalize_0_9]) ).

cnf(refute_0_7,plain,
    ( apart_point_and_line(X,Y)
    | incident_point_and_line(X,Y) ),
    inference(canonicalize,[],[normalize_0_13]) ).

cnf(refute_0_8,plain,
    ( apart_point_and_line(skolemFOFtoCNF_X,skolemFOFtoCNF_U)
    | incident_point_and_line(skolemFOFtoCNF_X,skolemFOFtoCNF_U) ),
    inference(subst,[],[refute_0_7:[bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_U))]]) ).

cnf(refute_0_9,plain,
    apart_point_and_line(skolemFOFtoCNF_X,skolemFOFtoCNF_U),
    inference(resolve,[$cnf( incident_point_and_line(skolemFOFtoCNF_X,skolemFOFtoCNF_U) )],[refute_0_8,refute_0_6]) ).

cnf(refute_0_10,plain,
    ( ~ apart_point_and_line(X,Y)
    | apart_point_and_line(Z,Y)
    | distinct_points(X,Z) ),
    inference(canonicalize,[],[normalize_0_15]) ).

cnf(refute_0_11,plain,
    ( ~ apart_point_and_line(skolemFOFtoCNF_X,skolemFOFtoCNF_U)
    | apart_point_and_line(X_58,skolemFOFtoCNF_U)
    | distinct_points(skolemFOFtoCNF_X,X_58) ),
    inference(subst,[],[refute_0_10:[bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_U)),bind(Z,$fot(X_58))]]) ).

cnf(refute_0_12,plain,
    ( apart_point_and_line(X_58,skolemFOFtoCNF_U)
    | distinct_points(skolemFOFtoCNF_X,X_58) ),
    inference(resolve,[$cnf( apart_point_and_line(skolemFOFtoCNF_X,skolemFOFtoCNF_U) )],[refute_0_9,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( apart_point_and_line(intersection_point(skolemFOFtoCNF_U,skolemFOFtoCNF_V),skolemFOFtoCNF_U)
    | distinct_points(skolemFOFtoCNF_X,intersection_point(skolemFOFtoCNF_U,skolemFOFtoCNF_V)) ),
    inference(subst,[],[refute_0_12:[bind(X_58,$fot(intersection_point(skolemFOFtoCNF_U,skolemFOFtoCNF_V)))]]) ).

cnf(refute_0_14,plain,
    apart_point_and_line(intersection_point(skolemFOFtoCNF_U,skolemFOFtoCNF_V),skolemFOFtoCNF_U),
    inference(resolve,[$cnf( distinct_points(skolemFOFtoCNF_X,intersection_point(skolemFOFtoCNF_U,skolemFOFtoCNF_V)) )],[refute_0_13,refute_0_5]) ).

cnf(refute_0_15,plain,
    ~ convergent_lines(skolemFOFtoCNF_U,skolemFOFtoCNF_V),
    inference(resolve,[$cnf( apart_point_and_line(intersection_point(skolemFOFtoCNF_U,skolemFOFtoCNF_V),skolemFOFtoCNF_U) )],[refute_0_14,refute_0_1]) ).

cnf(refute_0_16,plain,
    convergent_lines(skolemFOFtoCNF_U,skolemFOFtoCNF_V),
    inference(canonicalize,[],[normalize_0_16]) ).

cnf(refute_0_17,plain,
    $false,
    inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_U,skolemFOFtoCNF_V) )],[refute_0_16,refute_0_15]) ).

fof(negate_1_0,plain,
    ~ ! [X,Y,U,V] :
        ( ( distinct_points(X,Y)
          & convergent_lines(U,V)
          & equal_points(X,intersection_point(U,V))
          & incident_point_and_line(X,U) )
       => incident_point_and_line(X,V) ),
    inference(negate,[],[subgoal_1]) ).

fof(normalize_1_0,plain,
    ! [X,Y] :
      ( ~ apart_point_and_line(intersection_point(X,Y),Y)
      | ~ convergent_lines(X,Y) ),
    inference(canonicalize,[],[ci4]) ).

fof(normalize_1_1,plain,
    ! [X,Y] :
      ( ~ apart_point_and_line(intersection_point(X,Y),Y)
      | ~ convergent_lines(X,Y) ),
    inference(specialize,[],[normalize_1_0]) ).

fof(normalize_1_2,plain,
    ? [U,V,X,Y] :
      ( ~ incident_point_and_line(X,V)
      & convergent_lines(U,V)
      & distinct_points(X,Y)
      & equal_points(X,intersection_point(U,V))
      & incident_point_and_line(X,U) ),
    inference(canonicalize,[],[negate_1_0]) ).

fof(normalize_1_3,plain,
    ( ~ incident_point_and_line(skolemFOFtoCNF_X_1,skolemFOFtoCNF_V_1)
    & convergent_lines(skolemFOFtoCNF_U_1,skolemFOFtoCNF_V_1)
    & distinct_points(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1)
    & equal_points(skolemFOFtoCNF_X_1,intersection_point(skolemFOFtoCNF_U_1,skolemFOFtoCNF_V_1))
    & incident_point_and_line(skolemFOFtoCNF_X_1,skolemFOFtoCNF_U_1) ),
    inference(skolemize,[],[normalize_1_2]) ).

fof(normalize_1_4,plain,
    equal_points(skolemFOFtoCNF_X_1,intersection_point(skolemFOFtoCNF_U_1,skolemFOFtoCNF_V_1)),
    inference(conjunct,[],[normalize_1_3]) ).

fof(normalize_1_5,plain,
    ! [X,Y] :
      ( ~ distinct_points(X,Y)
    <=> equal_points(X,Y) ),
    inference(canonicalize,[],[ax1]) ).

fof(normalize_1_6,plain,
    ! [X,Y] :
      ( ~ distinct_points(X,Y)
    <=> equal_points(X,Y) ),
    inference(specialize,[],[normalize_1_5]) ).

fof(normalize_1_7,plain,
    ! [X,Y] :
      ( ( ~ distinct_points(X,Y)
        | ~ equal_points(X,Y) )
      & ( distinct_points(X,Y)
        | equal_points(X,Y) ) ),
    inference(clausify,[],[normalize_1_6]) ).

fof(normalize_1_8,plain,
    ! [X,Y] :
      ( ~ distinct_points(X,Y)
      | ~ equal_points(X,Y) ),
    inference(conjunct,[],[normalize_1_7]) ).

fof(normalize_1_9,plain,
    ~ incident_point_and_line(skolemFOFtoCNF_X_1,skolemFOFtoCNF_V_1),
    inference(conjunct,[],[normalize_1_3]) ).

fof(normalize_1_10,plain,
    ! [X,Y] :
      ( ~ apart_point_and_line(X,Y)
    <=> incident_point_and_line(X,Y) ),
    inference(canonicalize,[],[a4]) ).

fof(normalize_1_11,plain,
    ! [X,Y] :
      ( ~ apart_point_and_line(X,Y)
    <=> incident_point_and_line(X,Y) ),
    inference(specialize,[],[normalize_1_10]) ).

fof(normalize_1_12,plain,
    ! [X,Y] :
      ( ( ~ apart_point_and_line(X,Y)
        | ~ incident_point_and_line(X,Y) )
      & ( apart_point_and_line(X,Y)
        | incident_point_and_line(X,Y) ) ),
    inference(clausify,[],[normalize_1_11]) ).

fof(normalize_1_13,plain,
    ! [X,Y] :
      ( apart_point_and_line(X,Y)
      | incident_point_and_line(X,Y) ),
    inference(conjunct,[],[normalize_1_12]) ).

fof(normalize_1_14,plain,
    ! [X,Y,Z] :
      ( ~ apart_point_and_line(X,Y)
      | apart_point_and_line(Z,Y)
      | distinct_points(X,Z) ),
    inference(canonicalize,[],[ceq1]) ).

fof(normalize_1_15,plain,
    ! [X,Y,Z] :
      ( ~ apart_point_and_line(X,Y)
      | apart_point_and_line(Z,Y)
      | distinct_points(X,Z) ),
    inference(specialize,[],[normalize_1_14]) ).

fof(normalize_1_16,plain,
    convergent_lines(skolemFOFtoCNF_U_1,skolemFOFtoCNF_V_1),
    inference(conjunct,[],[normalize_1_3]) ).

cnf(refute_1_0,plain,
    ( ~ apart_point_and_line(intersection_point(X,Y),Y)
    | ~ convergent_lines(X,Y) ),
    inference(canonicalize,[],[normalize_1_1]) ).

cnf(refute_1_1,plain,
    ( ~ apart_point_and_line(intersection_point(skolemFOFtoCNF_U_1,skolemFOFtoCNF_V_1),skolemFOFtoCNF_V_1)
    | ~ convergent_lines(skolemFOFtoCNF_U_1,skolemFOFtoCNF_V_1) ),
    inference(subst,[],[refute_1_0:[bind(X,$fot(skolemFOFtoCNF_U_1)),bind(Y,$fot(skolemFOFtoCNF_V_1))]]) ).

cnf(refute_1_2,plain,
    equal_points(skolemFOFtoCNF_X_1,intersection_point(skolemFOFtoCNF_U_1,skolemFOFtoCNF_V_1)),
    inference(canonicalize,[],[normalize_1_4]) ).

cnf(refute_1_3,plain,
    ( ~ distinct_points(X,Y)
    | ~ equal_points(X,Y) ),
    inference(canonicalize,[],[normalize_1_8]) ).

cnf(refute_1_4,plain,
    ( ~ distinct_points(skolemFOFtoCNF_X_1,intersection_point(skolemFOFtoCNF_U_1,skolemFOFtoCNF_V_1))
    | ~ equal_points(skolemFOFtoCNF_X_1,intersection_point(skolemFOFtoCNF_U_1,skolemFOFtoCNF_V_1)) ),
    inference(subst,[],[refute_1_3:[bind(X,$fot(skolemFOFtoCNF_X_1)),bind(Y,$fot(intersection_point(skolemFOFtoCNF_U_1,skolemFOFtoCNF_V_1)))]]) ).

cnf(refute_1_5,plain,
    ~ distinct_points(skolemFOFtoCNF_X_1,intersection_point(skolemFOFtoCNF_U_1,skolemFOFtoCNF_V_1)),
    inference(resolve,[$cnf( equal_points(skolemFOFtoCNF_X_1,intersection_point(skolemFOFtoCNF_U_1,skolemFOFtoCNF_V_1)) )],[refute_1_2,refute_1_4]) ).

cnf(refute_1_6,plain,
    ~ incident_point_and_line(skolemFOFtoCNF_X_1,skolemFOFtoCNF_V_1),
    inference(canonicalize,[],[normalize_1_9]) ).

cnf(refute_1_7,plain,
    ( apart_point_and_line(X,Y)
    | incident_point_and_line(X,Y) ),
    inference(canonicalize,[],[normalize_1_13]) ).

cnf(refute_1_8,plain,
    ( apart_point_and_line(skolemFOFtoCNF_X_1,skolemFOFtoCNF_V_1)
    | incident_point_and_line(skolemFOFtoCNF_X_1,skolemFOFtoCNF_V_1) ),
    inference(subst,[],[refute_1_7:[bind(X,$fot(skolemFOFtoCNF_X_1)),bind(Y,$fot(skolemFOFtoCNF_V_1))]]) ).

cnf(refute_1_9,plain,
    apart_point_and_line(skolemFOFtoCNF_X_1,skolemFOFtoCNF_V_1),
    inference(resolve,[$cnf( incident_point_and_line(skolemFOFtoCNF_X_1,skolemFOFtoCNF_V_1) )],[refute_1_8,refute_1_6]) ).

cnf(refute_1_10,plain,
    ( ~ apart_point_and_line(X,Y)
    | apart_point_and_line(Z,Y)
    | distinct_points(X,Z) ),
    inference(canonicalize,[],[normalize_1_15]) ).

cnf(refute_1_11,plain,
    ( ~ apart_point_and_line(skolemFOFtoCNF_X_1,skolemFOFtoCNF_V_1)
    | apart_point_and_line(X_135,skolemFOFtoCNF_V_1)
    | distinct_points(skolemFOFtoCNF_X_1,X_135) ),
    inference(subst,[],[refute_1_10:[bind(X,$fot(skolemFOFtoCNF_X_1)),bind(Y,$fot(skolemFOFtoCNF_V_1)),bind(Z,$fot(X_135))]]) ).

cnf(refute_1_12,plain,
    ( apart_point_and_line(X_135,skolemFOFtoCNF_V_1)
    | distinct_points(skolemFOFtoCNF_X_1,X_135) ),
    inference(resolve,[$cnf( apart_point_and_line(skolemFOFtoCNF_X_1,skolemFOFtoCNF_V_1) )],[refute_1_9,refute_1_11]) ).

cnf(refute_1_13,plain,
    ( apart_point_and_line(intersection_point(skolemFOFtoCNF_U_1,skolemFOFtoCNF_V_1),skolemFOFtoCNF_V_1)
    | distinct_points(skolemFOFtoCNF_X_1,intersection_point(skolemFOFtoCNF_U_1,skolemFOFtoCNF_V_1)) ),
    inference(subst,[],[refute_1_12:[bind(X_135,$fot(intersection_point(skolemFOFtoCNF_U_1,skolemFOFtoCNF_V_1)))]]) ).

cnf(refute_1_14,plain,
    apart_point_and_line(intersection_point(skolemFOFtoCNF_U_1,skolemFOFtoCNF_V_1),skolemFOFtoCNF_V_1),
    inference(resolve,[$cnf( distinct_points(skolemFOFtoCNF_X_1,intersection_point(skolemFOFtoCNF_U_1,skolemFOFtoCNF_V_1)) )],[refute_1_13,refute_1_5]) ).

cnf(refute_1_15,plain,
    ~ convergent_lines(skolemFOFtoCNF_U_1,skolemFOFtoCNF_V_1),
    inference(resolve,[$cnf( apart_point_and_line(intersection_point(skolemFOFtoCNF_U_1,skolemFOFtoCNF_V_1),skolemFOFtoCNF_V_1) )],[refute_1_14,refute_1_1]) ).

cnf(refute_1_16,plain,
    convergent_lines(skolemFOFtoCNF_U_1,skolemFOFtoCNF_V_1),
    inference(canonicalize,[],[normalize_1_16]) ).

cnf(refute_1_17,plain,
    $false,
    inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_U_1,skolemFOFtoCNF_V_1) )],[refute_1_16,refute_1_15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : GEO185+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jun 18 17:22:14 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.37  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  
% 0.13/0.37  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.38  
%------------------------------------------------------------------------------