↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWB002+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:36:59 PM UTC 2026

% Result   : Theorem 0.12s 0.38s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   6   ~;   2   |;   4   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    9 (   4   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ? [BNODE_x,BNODE_y] :
      ( iext(uri_ex_q,BNODE_y,BNODE_x)
      & iext(uri_ex_p,BNODE_x,BNODE_y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ? [BNODE_x,BNODE_y] :
        ( iext(uri_ex_q,BNODE_y,BNODE_x)
        & iext(uri_ex_p,BNODE_x,BNODE_y) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,axiom,
    ? [BNODE_o] :
      ( iext(uri_ex_q,BNODE_o,uri_ex_s)
      & iext(uri_ex_p,uri_ex_s,BNODE_o) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,plain,
    ! [BNODE_x,BNODE_y] :
      ( ~ iext(uri_ex_q,BNODE_y,BNODE_x)
      | ~ iext(uri_ex_p,BNODE_x,BNODE_y) ),
    inference(pre_NNF_transformation,[status(thm)],[f2]) ).

fof(f5,plain,
    ! [X0,X1] :
      ( ~ iext(uri_ex_q,X1,X0)
      | ~ iext(uri_ex_p,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f6,plain,
    ( iext(uri_ex_q,sK0_skl,uri_ex_s)
    & iext(uri_ex_p,uri_ex_s,sK0_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(BNODE_o,sK0_skl)],[f3]) ).

fof(f7,plain,
    iext(uri_ex_p,uri_ex_s,sK0_skl),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f8,plain,
    iext(uri_ex_q,sK0_skl,uri_ex_s),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f9,plain,
    ~ iext(uri_ex_p,uri_ex_s,sK0_skl),
    inference(resolution,[status(thm)],[f5,f8]) ).

fof(f10,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f9,f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB002+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34  % Computer : n014.cluster.edu
% 0.08/0.34  % Model    : x86_64 x86_64
% 0.08/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34  % Memory   : 8046.5625MB
% 0.08/0.34  % OS       : Linux 6.8.0-71-generic
% 0.08/0.34  % CPULimit : 300
% 0.08/0.34  % WCLimit  : 300
% 0.08/0.34  % DateTime : Mon Sep 21 07:36:21 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.36  % Drodi V4.1.1
% 0.12/0.38  % Refutation found
% 0.12/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41  % Elapsed time: 0.043618 seconds
% 0.12/0.41  % CPU time: 0.137169 seconds
% 0.12/0.41  % Total memory used: 55.185 MB
% 0.12/0.41  % Net memory used: 54.554 MB
%------------------------------------------------------------------------------