%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO208+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n013.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 05:59:18 EDT 2022

% Result   : Theorem 0.44s 0.61s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X,Y,Z] :
      ( ( ~ apart_point_and_line(X,Y)
        & ~ apart_point_and_line(X,Z)
        & ~ convergent_lines(Y,Z) )
     => ~ distinct_lines(Y,Z) ),
    input ).

fof(c0,negated_conjecture,
    ~ ! [X,Y,Z] :
        ( ( ~ apart_point_and_line(X,Y)
          & ~ apart_point_and_line(X,Z)
          & ~ convergent_lines(Y,Z) )
       => ~ distinct_lines(Y,Z) ),
    inference(assume_negation,status(cth),[con]) ).

fof(c1,negated_conjecture,
    ~ ! [X,Y,Z] :
        ( ( ~ apart_point_and_line(X,Y)
          & ~ apart_point_and_line(X,Z)
          & ~ convergent_lines(Y,Z) )
       => ~ distinct_lines(Y,Z) ),
    inference(fof_simplification,status(thm),[c0]) ).

fof(c2,negated_conjecture,
    ? [X,Y,Z] :
      ( ~ apart_point_and_line(X,Y)
      & ~ apart_point_and_line(X,Z)
      & ~ convergent_lines(Y,Z)
      & distinct_lines(Y,Z) ),
    inference(fof_nnf,status(thm),[c1]) ).

fof(c3,negated_conjecture,
    ? [X2,X3,X4] :
      ( ~ apart_point_and_line(X2,X3)
      & ~ apart_point_and_line(X2,X4)
      & ~ convergent_lines(X3,X4)
      & distinct_lines(X3,X4) ),
    inference(variable_rename,status(thm),[c2]) ).

fof(c4,negated_conjecture,
    ( ~ apart_point_and_line(skolem0001,skolem0002)
    & ~ apart_point_and_line(skolem0001,skolem0003)
    & ~ convergent_lines(skolem0002,skolem0003)
    & distinct_lines(skolem0002,skolem0003) ),
    inference(skolemize,status(esa),[c3]) ).

cnf(c6,negated_conjecture,
    ~ apart_point_and_line(skolem0001,skolem0003),
    inference(split_conjunct,status(thm),[c4]) ).

cnf(c5,negated_conjecture,
    ~ apart_point_and_line(skolem0001,skolem0002),
    inference(split_conjunct,status(thm),[c4]) ).

cnf(c7,negated_conjecture,
    ~ convergent_lines(skolem0002,skolem0003),
    inference(split_conjunct,status(thm),[c4]) ).

cnf(c8,negated_conjecture,
    distinct_lines(skolem0002,skolem0003),
    inference(split_conjunct,status(thm),[c4]) ).

fof(cup1,axiom,
    ! [X,Y,Z] :
      ( distinct_lines(Y,Z)
     => ( apart_point_and_line(X,Y)
        | apart_point_and_line(X,Z)
        | convergent_lines(Y,Z) ) ),
    input ).

fof(c9,axiom,
    ! [X,Y,Z] :
      ( ~ distinct_lines(Y,Z)
      | apart_point_and_line(X,Y)
      | apart_point_and_line(X,Z)
      | convergent_lines(Y,Z) ),
    inference(fof_nnf,status(thm),[cup1]) ).

fof(c10,axiom,
    ! [X5,X6,X7] :
      ( ~ distinct_lines(X6,X7)
      | apart_point_and_line(X5,X6)
      | apart_point_and_line(X5,X7)
      | convergent_lines(X6,X7) ),
    inference(variable_rename,status(thm),[c9]) ).

cnf(c11,axiom,
    ( ~ distinct_lines(X55,X54)
    | apart_point_and_line(X56,X55)
    | apart_point_and_line(X56,X54)
    | convergent_lines(X55,X54) ),
    inference(split_conjunct,status(thm),[c10]) ).

cnf(c72,plain,
    ( apart_point_and_line(X103,skolem0002)
    | apart_point_and_line(X103,skolem0003)
    | convergent_lines(skolem0002,skolem0003) ),
    inference(resolution,status(thm),[c11,c8]) ).

cnf(c164,plain,
    ( apart_point_and_line(X105,skolem0002)
    | apart_point_and_line(X105,skolem0003) ),
    inference(resolution,status(thm),[c72,c7]) ).

cnf(c168,plain,
    apart_point_and_line(skolem0001,skolem0003),
    inference(resolution,status(thm),[c164,c5]) ).

cnf(c176,plain,
    $false,
    inference(resolution,status(thm),[c168,c6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GEO208+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.15  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.37  % Computer : n013.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 600
% 0.15/0.37  % DateTime : Sat Jun 18 05:12:59 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.44/0.61  # Version:  1.3
% 0.44/0.61  # SZS status Theorem
% 0.44/0.61  # SZS output start CNFRefutation
% See solution above
% 0.44/0.61  
% 0.44/0.61  # Initial clauses    : 21
% 0.44/0.61  # Processed clauses  : 32
% 0.44/0.61  # Factors computed   : 7
% 0.44/0.61  # Resolvents computed: 102
% 0.44/0.61  # Tautologies deleted: 0
% 0.44/0.61  # Forward subsumed   : 19
% 0.44/0.61  # Backward subsumed  : 1
% 0.44/0.61  # -------- CPU Time ---------
% 0.44/0.61  # User time          : 0.224 s
% 0.44/0.61  # System time        : 0.010 s
% 0.44/0.61  # Total time         : 0.234 s
%------------------------------------------------------------------------------