TSTP Solution File: GEO233+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO233+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n024.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 : Tue Apr 30 20:17:40 EDT 2024

% Result   : Theorem 0.20s 0.37s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   32 (  15 unt;   0 def)
%            Number of atoms       :   60 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   63 (  35   ~;  23   |;   3   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   54 (  53   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [L] : ~ unequally_directed_lines(L,L),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [L,M,N] :
      ( unequally_directed_lines(L,M)
     => ( unequally_directed_lines(L,N)
        | unequally_directed_lines(M,N) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [L,M] :
      ( ( unequally_directed_lines(L,M)
        & unequally_directed_lines(L,reverse_line(M)) )
     => ( left_convergent_lines(L,M)
        | left_convergent_lines(L,reverse_line(M)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [L,M] :
      ~ ( left_convergent_lines(L,M)
        | left_convergent_lines(L,reverse_line(M)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    ! [A,L] : ~ unequally_directed_lines(parallel_through_point(L,A),L),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f32,conjecture,
    ! [L] : ~ unequally_directed_lines(reverse_line(reverse_line(L)),L),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f33,negated_conjecture,
    ~ ! [L] : ~ unequally_directed_lines(reverse_line(reverse_line(L)),L),
    inference(negated_conjecture,[status(cth)],[f32]) ).

fof(f78,plain,
    ! [X0] : ~ unequally_directed_lines(X0,X0),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f79,plain,
    ! [L,M,N] :
      ( ~ unequally_directed_lines(L,M)
      | unequally_directed_lines(L,N)
      | unequally_directed_lines(M,N) ),
    inference(pre_NNF_transformation,[status(esa)],[f11]) ).

fof(f80,plain,
    ! [L,M] :
      ( ~ unequally_directed_lines(L,M)
      | ! [N] :
          ( unequally_directed_lines(L,N)
          | unequally_directed_lines(M,N) ) ),
    inference(miniscoping,[status(esa)],[f79]) ).

fof(f81,plain,
    ! [X0,X1,X2] :
      ( ~ unequally_directed_lines(X0,X1)
      | unequally_directed_lines(X0,X2)
      | unequally_directed_lines(X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f80]) ).

fof(f90,plain,
    ! [L,M] :
      ( ~ unequally_directed_lines(L,M)
      | ~ unequally_directed_lines(L,reverse_line(M))
      | left_convergent_lines(L,M)
      | left_convergent_lines(L,reverse_line(M)) ),
    inference(pre_NNF_transformation,[status(esa)],[f14]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1)
      | left_convergent_lines(X0,reverse_line(X1)) ),
    inference(cnf_transformation,[status(esa)],[f90]) ).

fof(f96,plain,
    ! [L,M] :
      ( ~ left_convergent_lines(L,M)
      & ~ left_convergent_lines(L,reverse_line(M)) ),
    inference(pre_NNF_transformation,[status(esa)],[f16]) ).

fof(f97,plain,
    ( ! [L,M] : ~ left_convergent_lines(L,M)
    & ! [L,M] : ~ left_convergent_lines(L,reverse_line(M)) ),
    inference(miniscoping,[status(esa)],[f96]) ).

fof(f98,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,X1),
    inference(cnf_transformation,[status(esa)],[f97]) ).

fof(f117,plain,
    ! [X0,X1] : ~ unequally_directed_lines(parallel_through_point(X0,X1),X0),
    inference(cnf_transformation,[status(esa)],[f26]) ).

fof(f130,plain,
    ? [L] : unequally_directed_lines(reverse_line(reverse_line(L)),L),
    inference(pre_NNF_transformation,[status(esa)],[f33]) ).

fof(f131,plain,
    unequally_directed_lines(reverse_line(reverse_line(sk0_0)),sk0_0),
    inference(skolemization,[status(esa)],[f130]) ).

fof(f132,plain,
    unequally_directed_lines(reverse_line(reverse_line(sk0_0)),sk0_0),
    inference(cnf_transformation,[status(esa)],[f131]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,reverse_line(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f91,f98]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f146,f98]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,X1)
      | unequally_directed_lines(X1,X0) ),
    inference(resolution,[status(thm)],[f81,f78]) ).

fof(f152,plain,
    ! [X0,X1] : ~ unequally_directed_lines(X0,parallel_through_point(X0,X1)),
    inference(resolution,[status(thm)],[f117,f148]) ).

fof(f156,plain,
    ! [X0,X1,X2] :
      ( ~ unequally_directed_lines(X0,X1)
      | unequally_directed_lines(X1,parallel_through_point(X0,X2)) ),
    inference(resolution,[status(thm)],[f152,f81]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,X1)
      | ~ unequally_directed_lines(reverse_line(X1),X0) ),
    inference(resolution,[status(thm)],[f147,f148]) ).

fof(f183,plain,
    ~ unequally_directed_lines(sk0_0,reverse_line(sk0_0)),
    inference(resolution,[status(thm)],[f171,f132]) ).

fof(f208,plain,
    ! [X0] :
      ( ~ unequally_directed_lines(sk0_0,X0)
      | unequally_directed_lines(X0,reverse_line(sk0_0)) ),
    inference(resolution,[status(thm)],[f183,f81]) ).

fof(f213,plain,
    ! [X0] :
      ( ~ unequally_directed_lines(sk0_0,X0)
      | ~ unequally_directed_lines(X0,sk0_0) ),
    inference(resolution,[status(thm)],[f208,f147]) ).

fof(f214,plain,
    ! [X0] : ~ unequally_directed_lines(sk0_0,X0),
    inference(forward_subsumption_resolution,[status(thm)],[f213,f148]) ).

fof(f216,plain,
    ! [X0] : ~ unequally_directed_lines(X0,sk0_0),
    inference(resolution,[status(thm)],[f214,f156]) ).

fof(f217,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f132,f216]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO233+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n024.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  : 300
% 0.13/0.34  % DateTime : Tue Apr 30 01:36:21 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.20/0.37  % Refutation found
% 0.20/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.39  % Elapsed time: 0.038411 seconds
% 0.20/0.39  % CPU time: 0.165287 seconds
% 0.20/0.39  % Total memory used: 8.504 MB
% 0.20/0.39  % Net memory used: 8.405 MB
%------------------------------------------------------------------------------