TSTP Solution File: GEO180+1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GEO180+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n020.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 05:24:57 EDT 2022

% Result   : Theorem 5.56s 5.73s
% Output   : CNFRefutation 5.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   64 (  16 unt;   0 def)
%            Number of atoms       :  161 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  153 (  56   ~;  81   |;   7   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   89 (   0 sgn  54   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(apart1,axiom,
    ! [X] : ~ distinct_points(X,X) ).

fof(ci1,axiom,
    ! [X,Y] :
      ( distinct_points(X,Y)
     => ~ apart_point_and_line(X,line_connecting(X,Y)) ) ).

fof(ci2,axiom,
    ! [X,Y] :
      ( distinct_points(X,Y)
     => ~ apart_point_and_line(Y,line_connecting(X,Y)) ) ).

fof(cu1,axiom,
    ! [X,Y,U,V] :
      ( ( distinct_points(X,Y)
        & distinct_lines(U,V) )
     => ( apart_point_and_line(X,U)
        | apart_point_and_line(X,V)
        | apart_point_and_line(Y,U)
        | apart_point_and_line(Y,V) ) ) ).

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

fof(ceq2,axiom,
    ! [X,Y,Z] :
      ( apart_point_and_line(X,Y)
     => ( distinct_lines(Y,Z)
        | apart_point_and_line(X,Z) ) ) ).

fof(con,conjecture,
    ! [X,Y,Z] :
      ( distinct_points(X,Y)
     => ( apart_point_and_line(Z,line_connecting(X,Y))
       => apart_point_and_line(X,line_connecting(Z,Y)) ) ) ).

fof(subgoal_0,plain,
    ! [X,Y,Z] :
      ( ( distinct_points(X,Y)
        & apart_point_and_line(Z,line_connecting(X,Y)) )
     => apart_point_and_line(X,line_connecting(Z,Y)) ),
    inference(strip,[],[con]) ).

fof(negate_0_0,plain,
    ~ ! [X,Y,Z] :
        ( ( distinct_points(X,Y)
          & apart_point_and_line(Z,line_connecting(X,Y)) )
       => apart_point_and_line(X,line_connecting(Z,Y)) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ! [X,Y] :
      ( ~ apart_point_and_line(X,line_connecting(X,Y))
      | ~ distinct_points(X,Y) ),
    inference(canonicalize,[],[ci1]) ).

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

fof(normalize_0_2,plain,
    ! [X,Y] :
      ( ~ apart_point_and_line(Y,line_connecting(X,Y))
      | ~ distinct_points(X,Y) ),
    inference(canonicalize,[],[ci2]) ).

fof(normalize_0_3,plain,
    ! [X,Y] :
      ( ~ apart_point_and_line(Y,line_connecting(X,Y))
      | ~ distinct_points(X,Y) ),
    inference(specialize,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ? [X,Y,Z] :
      ( ~ apart_point_and_line(X,line_connecting(Z,Y))
      & apart_point_and_line(Z,line_connecting(X,Y))
      & distinct_points(X,Y) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_5,plain,
    ( ~ apart_point_and_line(skolemFOFtoCNF_X,line_connecting(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y))
    & apart_point_and_line(skolemFOFtoCNF_Z,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y))
    & distinct_points(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) ),
    inference(skolemize,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    apart_point_and_line(skolemFOFtoCNF_Z,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)),
    inference(conjunct,[],[normalize_0_5]) ).

fof(normalize_0_7,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_8,plain,
    ! [X,Y,Z] :
      ( ~ apart_point_and_line(X,Y)
      | apart_point_and_line(Z,Y)
      | distinct_points(X,Z) ),
    inference(specialize,[],[normalize_0_7]) ).

fof(normalize_0_9,plain,
    distinct_points(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
    inference(conjunct,[],[normalize_0_5]) ).

fof(normalize_0_10,plain,
    ! [X,Y,Z] :
      ( ~ apart_point_and_line(X,Y)
      | apart_point_and_line(X,Z)
      | distinct_lines(Y,Z) ),
    inference(canonicalize,[],[ceq2]) ).

fof(normalize_0_11,plain,
    ! [X,Y,Z] :
      ( ~ apart_point_and_line(X,Y)
      | apart_point_and_line(X,Z)
      | distinct_lines(Y,Z) ),
    inference(specialize,[],[normalize_0_10]) ).

fof(normalize_0_12,plain,
    ! [X] : ~ distinct_points(X,X),
    inference(canonicalize,[],[apart1]) ).

fof(normalize_0_13,plain,
    ! [X] : ~ distinct_points(X,X),
    inference(specialize,[],[normalize_0_12]) ).

fof(normalize_0_14,plain,
    ! [U,V,X,Y] :
      ( ~ distinct_lines(U,V)
      | ~ distinct_points(X,Y)
      | apart_point_and_line(X,U)
      | apart_point_and_line(X,V)
      | apart_point_and_line(Y,U)
      | apart_point_and_line(Y,V) ),
    inference(canonicalize,[],[cu1]) ).

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

fof(normalize_0_16,plain,
    ~ apart_point_and_line(skolemFOFtoCNF_X,line_connecting(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y)),
    inference(conjunct,[],[normalize_0_5]) ).

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

cnf(refute_0_1,plain,
    ( ~ apart_point_and_line(skolemFOFtoCNF_X,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y))
    | ~ distinct_points(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) ),
    inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_Y))]]) ).

cnf(refute_0_2,plain,
    ( ~ apart_point_and_line(Y,line_connecting(X,Y))
    | ~ distinct_points(X,Y) ),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_3,plain,
    ( ~ apart_point_and_line(skolemFOFtoCNF_Y,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y))
    | ~ distinct_points(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_Y))]]) ).

cnf(refute_0_4,plain,
    ( ~ apart_point_and_line(skolemFOFtoCNF_Y,line_connecting(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y))
    | ~ distinct_points(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_Z)),bind(Y,$fot(skolemFOFtoCNF_Y))]]) ).

cnf(refute_0_5,plain,
    apart_point_and_line(skolemFOFtoCNF_Z,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_6,plain,
    ( ~ apart_point_and_line(X,Y)
    | apart_point_and_line(Z,Y)
    | distinct_points(X,Z) ),
    inference(canonicalize,[],[normalize_0_8]) ).

cnf(refute_0_7,plain,
    ( ~ apart_point_and_line(skolemFOFtoCNF_Z,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y))
    | apart_point_and_line(X_27,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y))
    | distinct_points(skolemFOFtoCNF_Z,X_27) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(skolemFOFtoCNF_Z)),bind(Y,$fot(line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y))),bind(Z,$fot(X_27))]]) ).

cnf(refute_0_8,plain,
    ( apart_point_and_line(X_27,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y))
    | distinct_points(skolemFOFtoCNF_Z,X_27) ),
    inference(resolve,[$cnf( apart_point_and_line(skolemFOFtoCNF_Z,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)) )],[refute_0_5,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( apart_point_and_line(skolemFOFtoCNF_Y,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y))
    | distinct_points(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y) ),
    inference(subst,[],[refute_0_8:[bind(X_27,$fot(skolemFOFtoCNF_Y))]]) ).

cnf(refute_0_10,plain,
    ( ~ distinct_points(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
    | distinct_points(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y) ),
    inference(resolve,[$cnf( apart_point_and_line(skolemFOFtoCNF_Y,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)) )],[refute_0_9,refute_0_3]) ).

cnf(refute_0_11,plain,
    distinct_points(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
    inference(canonicalize,[],[normalize_0_9]) ).

cnf(refute_0_12,plain,
    distinct_points(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y),
    inference(resolve,[$cnf( distinct_points(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) )],[refute_0_11,refute_0_10]) ).

cnf(refute_0_13,plain,
    ( ~ apart_point_and_line(X_49,line_connecting(X_49,Y))
    | ~ distinct_points(X_49,Y) ),
    inference(subst,[],[refute_0_0:[bind(X,$fot(X_49))]]) ).

cnf(refute_0_14,plain,
    ( apart_point_and_line(X_33,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y))
    | distinct_points(skolemFOFtoCNF_Z,X_33) ),
    inference(subst,[],[refute_0_8:[bind(X_27,$fot(X_33))]]) ).

cnf(refute_0_15,plain,
    ( ~ apart_point_and_line(X,Y)
    | apart_point_and_line(X,Z)
    | distinct_lines(Y,Z) ),
    inference(canonicalize,[],[normalize_0_11]) ).

cnf(refute_0_16,plain,
    ( ~ apart_point_and_line(X_33,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y))
    | apart_point_and_line(X_33,X_35)
    | distinct_lines(line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),X_35) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(X_33)),bind(Y,$fot(line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y))),bind(Z,$fot(X_35))]]) ).

cnf(refute_0_17,plain,
    ( apart_point_and_line(X_33,X_35)
    | distinct_lines(line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),X_35)
    | distinct_points(skolemFOFtoCNF_Z,X_33) ),
    inference(resolve,[$cnf( apart_point_and_line(X_33,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)) )],[refute_0_14,refute_0_16]) ).

cnf(refute_0_18,plain,
    ( apart_point_and_line(X_49,line_connecting(X_49,Y))
    | distinct_lines(line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),line_connecting(X_49,Y))
    | distinct_points(skolemFOFtoCNF_Z,X_49) ),
    inference(subst,[],[refute_0_17:[bind(X_33,$fot(X_49)),bind(X_35,$fot(line_connecting(X_49,Y)))]]) ).

cnf(refute_0_19,plain,
    ( ~ distinct_points(X_49,Y)
    | distinct_lines(line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),line_connecting(X_49,Y))
    | distinct_points(skolemFOFtoCNF_Z,X_49) ),
    inference(resolve,[$cnf( apart_point_and_line(X_49,line_connecting(X_49,Y)) )],[refute_0_18,refute_0_13]) ).

cnf(refute_0_20,plain,
    ( ~ distinct_points(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y)
    | distinct_lines(line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),line_connecting(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y))
    | distinct_points(skolemFOFtoCNF_Z,skolemFOFtoCNF_Z) ),
    inference(subst,[],[refute_0_19:[bind(Y,$fot(skolemFOFtoCNF_Y)),bind(X_49,$fot(skolemFOFtoCNF_Z))]]) ).

cnf(refute_0_21,plain,
    ( distinct_lines(line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),line_connecting(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y))
    | distinct_points(skolemFOFtoCNF_Z,skolemFOFtoCNF_Z) ),
    inference(resolve,[$cnf( distinct_points(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y) )],[refute_0_12,refute_0_20]) ).

cnf(refute_0_22,plain,
    ~ distinct_points(X,X),
    inference(canonicalize,[],[normalize_0_13]) ).

cnf(refute_0_23,plain,
    ~ distinct_points(skolemFOFtoCNF_Z,skolemFOFtoCNF_Z),
    inference(subst,[],[refute_0_22:[bind(X,$fot(skolemFOFtoCNF_Z))]]) ).

cnf(refute_0_24,plain,
    distinct_lines(line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),line_connecting(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y)),
    inference(resolve,[$cnf( distinct_points(skolemFOFtoCNF_Z,skolemFOFtoCNF_Z) )],[refute_0_21,refute_0_23]) ).

cnf(refute_0_25,plain,
    ( ~ distinct_lines(U,V)
    | ~ distinct_points(X,Y)
    | apart_point_and_line(X,U)
    | apart_point_and_line(X,V)
    | apart_point_and_line(Y,U)
    | apart_point_and_line(Y,V) ),
    inference(canonicalize,[],[normalize_0_15]) ).

cnf(refute_0_26,plain,
    ( ~ distinct_lines(X_560,X_561)
    | ~ distinct_points(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
    | apart_point_and_line(skolemFOFtoCNF_X,X_560)
    | apart_point_and_line(skolemFOFtoCNF_X,X_561)
    | apart_point_and_line(skolemFOFtoCNF_Y,X_560)
    | apart_point_and_line(skolemFOFtoCNF_Y,X_561) ),
    inference(subst,[],[refute_0_25:[bind(U,$fot(X_560)),bind(V,$fot(X_561)),bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_Y))]]) ).

cnf(refute_0_27,plain,
    ( ~ distinct_lines(X_560,X_561)
    | apart_point_and_line(skolemFOFtoCNF_X,X_560)
    | apart_point_and_line(skolemFOFtoCNF_X,X_561)
    | apart_point_and_line(skolemFOFtoCNF_Y,X_560)
    | apart_point_and_line(skolemFOFtoCNF_Y,X_561) ),
    inference(resolve,[$cnf( distinct_points(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) )],[refute_0_11,refute_0_26]) ).

cnf(refute_0_28,plain,
    ( ~ distinct_lines(line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),line_connecting(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y))
    | apart_point_and_line(skolemFOFtoCNF_X,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y))
    | apart_point_and_line(skolemFOFtoCNF_X,line_connecting(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y))
    | apart_point_and_line(skolemFOFtoCNF_Y,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y))
    | apart_point_and_line(skolemFOFtoCNF_Y,line_connecting(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y)) ),
    inference(subst,[],[refute_0_27:[bind(X_560,$fot(line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y))),bind(X_561,$fot(line_connecting(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y)))]]) ).

cnf(refute_0_29,plain,
    ( apart_point_and_line(skolemFOFtoCNF_X,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y))
    | apart_point_and_line(skolemFOFtoCNF_X,line_connecting(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y))
    | apart_point_and_line(skolemFOFtoCNF_Y,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y))
    | apart_point_and_line(skolemFOFtoCNF_Y,line_connecting(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y)) ),
    inference(resolve,[$cnf( distinct_lines(line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),line_connecting(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y)) )],[refute_0_24,refute_0_28]) ).

cnf(refute_0_30,plain,
    ~ apart_point_and_line(skolemFOFtoCNF_X,line_connecting(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y)),
    inference(canonicalize,[],[normalize_0_16]) ).

cnf(refute_0_31,plain,
    ( apart_point_and_line(skolemFOFtoCNF_X,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y))
    | apart_point_and_line(skolemFOFtoCNF_Y,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y))
    | apart_point_and_line(skolemFOFtoCNF_Y,line_connecting(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y)) ),
    inference(resolve,[$cnf( apart_point_and_line(skolemFOFtoCNF_X,line_connecting(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y)) )],[refute_0_29,refute_0_30]) ).

cnf(refute_0_32,plain,
    ( ~ distinct_points(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y)
    | apart_point_and_line(skolemFOFtoCNF_X,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y))
    | apart_point_and_line(skolemFOFtoCNF_Y,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)) ),
    inference(resolve,[$cnf( apart_point_and_line(skolemFOFtoCNF_Y,line_connecting(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y)) )],[refute_0_31,refute_0_4]) ).

cnf(refute_0_33,plain,
    ( apart_point_and_line(skolemFOFtoCNF_X,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y))
    | apart_point_and_line(skolemFOFtoCNF_Y,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)) ),
    inference(resolve,[$cnf( distinct_points(skolemFOFtoCNF_Z,skolemFOFtoCNF_Y) )],[refute_0_12,refute_0_32]) ).

cnf(refute_0_34,plain,
    ( ~ distinct_points(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
    | apart_point_and_line(skolemFOFtoCNF_X,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)) ),
    inference(resolve,[$cnf( apart_point_and_line(skolemFOFtoCNF_Y,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)) )],[refute_0_33,refute_0_3]) ).

cnf(refute_0_35,plain,
    apart_point_and_line(skolemFOFtoCNF_X,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)),
    inference(resolve,[$cnf( distinct_points(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) )],[refute_0_11,refute_0_34]) ).

cnf(refute_0_36,plain,
    ~ distinct_points(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
    inference(resolve,[$cnf( apart_point_and_line(skolemFOFtoCNF_X,line_connecting(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)) )],[refute_0_35,refute_0_1]) ).

cnf(refute_0_37,plain,
    $false,
    inference(resolve,[$cnf( distinct_points(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) )],[refute_0_11,refute_0_36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GEO180+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.15  % Command  : metis --show proof --show saturation %s
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Sat Jun 18 04:12:34 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 5.56/5.73  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.56/5.73  
% 5.56/5.73  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.56/5.74  
%------------------------------------------------------------------------------