%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO220+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n029.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 05:59:28 EDT 2022

% Result   : Theorem 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [L,M,N] :
      ( ( ~ unorthogonal_lines(L,M)
        & ~ unorthogonal_lines(L,N) )
     => ~ convergent_lines(M,N) ),
    input ).

fof(c0,negated_conjecture,
    ~ ! [L,M,N] :
        ( ( ~ unorthogonal_lines(L,M)
          & ~ unorthogonal_lines(L,N) )
       => ~ convergent_lines(M,N) ),
    inference(assume_negation,status(cth),[con]) ).

fof(c1,negated_conjecture,
    ~ ! [L,M,N] :
        ( ( ~ unorthogonal_lines(L,M)
          & ~ unorthogonal_lines(L,N) )
       => ~ convergent_lines(M,N) ),
    inference(fof_simplification,status(thm),[c0]) ).

fof(c2,negated_conjecture,
    ? [L,M,N] :
      ( ~ unorthogonal_lines(L,M)
      & ~ unorthogonal_lines(L,N)
      & convergent_lines(M,N) ),
    inference(fof_nnf,status(thm),[c1]) ).

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

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

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

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

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

fof(couo1,axiom,
    ! [L,M,N] :
      ( ( ~ unorthogonal_lines(L,M)
        & ~ unorthogonal_lines(L,N) )
     => ~ convergent_lines(M,N) ),
    input ).

fof(c8,axiom,
    ! [L,M,N] :
      ( ( ~ unorthogonal_lines(L,M)
        & ~ unorthogonal_lines(L,N) )
     => ~ convergent_lines(M,N) ),
    inference(fof_simplification,status(thm),[couo1]) ).

fof(c9,axiom,
    ! [L,M,N] :
      ( unorthogonal_lines(L,M)
      | unorthogonal_lines(L,N)
      | ~ convergent_lines(M,N) ),
    inference(fof_nnf,status(thm),[c8]) ).

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

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

cnf(c86,plain,
    ( unorthogonal_lines(X58,skolem0002)
    | unorthogonal_lines(X58,skolem0003) ),
    inference(resolution,status(thm),[c11,c7]) ).

cnf(c90,plain,
    unorthogonal_lines(skolem0001,skolem0003),
    inference(resolution,status(thm),[c86,c5]) ).

cnf(c92,plain,
    $false,
    inference(resolution,status(thm),[c90,c6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO220+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 07:40:59 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.54  # Version:  1.3
% 0.19/0.54  # SZS status Theorem
% 0.19/0.54  # SZS output start CNFRefutation
% See solution above
% 0.19/0.54  
% 0.19/0.54  # Initial clauses    : 23
% 0.19/0.54  # Processed clauses  : 15
% 0.19/0.54  # Factors computed   : 0
% 0.19/0.54  # Resolvents computed: 11
% 0.19/0.54  # Tautologies deleted: 0
% 0.19/0.54  # Forward subsumed   : 1
% 0.19/0.54  # Backward subsumed  : 0
% 0.19/0.54  # -------- CPU Time ---------
% 0.19/0.54  # User time          : 0.186 s
% 0.19/0.54  # System time        : 0.013 s
% 0.19/0.54  # Total time         : 0.199 s
%------------------------------------------------------------------------------