TSTP Solution File: GEO216+2 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GEO216+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n003.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  : 300s
% DateTime : Thu May  9 17:21:33 EDT 2024

% Result   : Theorem 0.18s 0.53s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (  13 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   25 (  20   ~;   3   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   20 (   0 sgn  14   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [L] :
      ~ ~ unorthogonal_lines(L,L),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(c0,negated_conjecture,
    ~ ! [L] :
        ~ ~ unorthogonal_lines(L,L),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c1,negated_conjecture,
    ~ ! [L] : unorthogonal_lines(L,L),
    inference(fof_simplification,[status(thm)],[c0]) ).

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

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

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

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

fof(apart3,axiom,
    ! [X] : ~ convergent_lines(X,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart3) ).

fof(c67,plain,
    ! [X] : ~ convergent_lines(X,X),
    inference(fof_simplification,[status(thm)],[apart3]) ).

fof(c68,plain,
    ! [X38] : ~ convergent_lines(X38,X38),
    inference(variable_rename,[status(thm)],[c67]) ).

cnf(c69,plain,
    ~ convergent_lines(X41,X41),
    inference(split_conjunct,[status(thm)],[c68]) ).

fof(coipo1,axiom,
    ! [L,M] :
      ~ ( ~ convergent_lines(L,M)
        & ~ unorthogonal_lines(L,M) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax',coipo1) ).

fof(c18,plain,
    ! [L,M] :
      ~ ( ~ convergent_lines(L,M)
        & ~ unorthogonal_lines(L,M) ),
    inference(fof_simplification,[status(thm)],[coipo1]) ).

fof(c19,plain,
    ! [L,M] :
      ( convergent_lines(L,M)
      | unorthogonal_lines(L,M) ),
    inference(fof_nnf,[status(thm)],[c18]) ).

fof(c20,plain,
    ! [X9,X10] :
      ( convergent_lines(X9,X10)
      | unorthogonal_lines(X9,X10) ),
    inference(variable_rename,[status(thm)],[c19]) ).

cnf(c21,plain,
    ( convergent_lines(X45,X44)
    | unorthogonal_lines(X45,X44) ),
    inference(split_conjunct,[status(thm)],[c20]) ).

cnf(c76,plain,
    unorthogonal_lines(X49,X49),
    inference(resolution,[status(thm)],[c21,c69]) ).

cnf(c79,plain,
    $false,
    inference(resolution,[status(thm)],[c76,c5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO216+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n003.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  : 300
% 0.12/0.33  % DateTime : Thu May  9 08:05:38 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.18/0.53  % Version:  1.5
% 0.18/0.53  % SZS status Theorem
% 0.18/0.53  % SZS output start CNFRefutation
% See solution above
% 0.18/0.53  
% 0.18/0.53  % Initial clauses    : 21
% 0.18/0.53  % Processed clauses  : 7
% 0.18/0.53  % Factors computed   : 0
% 0.18/0.53  % Resolvents computed: 4
% 0.18/0.53  % Tautologies deleted: 0
% 0.18/0.53  % Forward subsumed   : 0
% 0.18/0.53  % Backward subsumed  : 0
% 0.18/0.53  % -------- CPU Time ---------
% 0.18/0.53  % User time          : 0.174 s
% 0.18/0.53  % System time        : 0.021 s
% 0.18/0.53  % Total time         : 0.195 s
%------------------------------------------------------------------------------