TSTP Solution File: GEO227+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO227+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n019.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 05:59:33 EDT 2022

% Result   : Theorem 0.43s 0.61s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [L,M] :
      ( ( line(L)
        & line(M) )
     => ~ ( ~ unequally_directed_lines(L,M)
          & ~ unequally_directed_lines(L,reverse_line(M)) ) ),
    input ).

fof(c0,negated_conjecture,
    ~ ! [L,M] :
        ( ( line(L)
          & line(M) )
       => ~ ( ~ unequally_directed_lines(L,M)
            & ~ unequally_directed_lines(L,reverse_line(M)) ) ),
    inference(assume_negation,status(cth),[con]) ).

fof(c1,negated_conjecture,
    ~ ! [L,M] :
        ( ( line(L)
          & line(M) )
       => ~ ( ~ unequally_directed_lines(L,M)
            & ~ unequally_directed_lines(L,reverse_line(M)) ) ),
    inference(fof_simplification,status(thm),[c0]) ).

fof(c2,negated_conjecture,
    ? [L,M] :
      ( line(L)
      & line(M)
      & ~ unequally_directed_lines(L,M)
      & ~ unequally_directed_lines(L,reverse_line(M)) ),
    inference(fof_nnf,status(thm),[c1]) ).

fof(c3,negated_conjecture,
    ? [X2,X3] :
      ( line(X2)
      & line(X3)
      & ~ unequally_directed_lines(X2,X3)
      & ~ unequally_directed_lines(X2,reverse_line(X3)) ),
    inference(variable_rename,status(thm),[c2]) ).

fof(c4,negated_conjecture,
    ( line(skolem0001)
    & line(skolem0002)
    & ~ unequally_directed_lines(skolem0001,skolem0002)
    & ~ unequally_directed_lines(skolem0001,reverse_line(skolem0002)) ),
    inference(skolemize,status(esa),[c3]) ).

cnf(c7,negated_conjecture,
    ~ unequally_directed_lines(skolem0001,skolem0002),
    inference(split_conjunct,status(thm),[c4]) ).

cnf(c8,negated_conjecture,
    ~ unequally_directed_lines(skolem0001,reverse_line(skolem0002)),
    inference(split_conjunct,status(thm),[c4]) ).

cnf(c5,negated_conjecture,
    line(skolem0001),
    inference(split_conjunct,status(thm),[c4]) ).

cnf(c6,negated_conjecture,
    line(skolem0002),
    inference(split_conjunct,status(thm),[c4]) ).

fof(oag8,axiom,
    ! [L,M] :
      ( ( line(L)
        & line(M) )
     => ( unequally_directed_lines(L,M)
        | unequally_directed_lines(L,reverse_line(M)) ) ),
    input ).

fof(c77,axiom,
    ! [L,M] :
      ( ~ line(L)
      | ~ line(M)
      | unequally_directed_lines(L,M)
      | unequally_directed_lines(L,reverse_line(M)) ),
    inference(fof_nnf,status(thm),[oag8]) ).

fof(c78,axiom,
    ! [X48,X49] :
      ( ~ line(X48)
      | ~ line(X49)
      | unequally_directed_lines(X48,X49)
      | unequally_directed_lines(X48,reverse_line(X49)) ),
    inference(variable_rename,status(thm),[c77]) ).

cnf(c79,axiom,
    ( ~ line(X203)
    | ~ line(X202)
    | unequally_directed_lines(X203,X202)
    | unequally_directed_lines(X203,reverse_line(X202)) ),
    inference(split_conjunct,status(thm),[c78]) ).

cnf(c192,plain,
    ( ~ line(X206)
    | unequally_directed_lines(X206,skolem0002)
    | unequally_directed_lines(X206,reverse_line(skolem0002)) ),
    inference(resolution,status(thm),[c79,c6]) ).

cnf(c211,plain,
    ( unequally_directed_lines(skolem0001,skolem0002)
    | unequally_directed_lines(skolem0001,reverse_line(skolem0002)) ),
    inference(resolution,status(thm),[c192,c5]) ).

cnf(c237,plain,
    unequally_directed_lines(skolem0001,skolem0002),
    inference(resolution,status(thm),[c211,c8]) ).

cnf(c247,plain,
    $false,
    inference(resolution,status(thm),[c237,c7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO227+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 18:53:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.43/0.61  # Version:  1.3
% 0.43/0.61  # SZS status Theorem
% 0.43/0.61  # SZS output start CNFRefutation
% See solution above
% 0.43/0.61  
% 0.43/0.61  # Initial clauses    : 62
% 0.43/0.61  # Processed clauses  : 60
% 0.43/0.61  # Factors computed   : 0
% 0.43/0.61  # Resolvents computed: 84
% 0.43/0.61  # Tautologies deleted: 0
% 0.43/0.61  # Forward subsumed   : 19
% 0.43/0.61  # Backward subsumed  : 2
% 0.43/0.61  # -------- CPU Time ---------
% 0.43/0.61  # User time          : 0.245 s
% 0.43/0.61  # System time        : 0.018 s
% 0.43/0.61  # Total time         : 0.264 s
%------------------------------------------------------------------------------