↑ Up

Drodi---4.1.1.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWV278-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n008.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 02:47:08 PM UTC 2026

% Result   : Unsatisfiable 0.22s 0.55s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (  12 unt;   0 def)
%            Number of atoms       :   16 (   4 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-1 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2740,axiom,
    ! [V_y] : c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2767,axiom,
    ! [V_X,V_H] :
      ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
      | ~ c_in(V_X,V_H,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2869,axiom,
    ! [V_H] : c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2896,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))),c_Message_Oparts(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2898,negated_conjecture,
    c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oanalz(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6255,plain,
    ! [X0] : c_Message_OinvKey(c_Message_OinvKey(X0)) = X0,
    inference(cnf_transformation,[status(thm)],[f2740]) ).

fof(f6286,plain,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(X0,X1,tc_Message_Omsg) ),
    inference(cnf_transformation,[status(thm)],[f2767]) ).

fof(f6414,plain,
    ! [X0] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
    inference(cnf_transformation,[status(thm)],[f2869]) ).

fof(f6442,plain,
    ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))),c_Message_Oparts(v_H),tc_Message_Omsg),
    inference(cnf_transformation,[status(thm)],[f2896]) ).

fof(f6444,plain,
    c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oanalz(v_H),tc_Message_Omsg),
    inference(cnf_transformation,[status(thm)],[f2898]) ).

fof(f6455,plain,
    ~ c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oparts(v_H),tc_Message_Omsg),
    inference(backward_demodulation,[status(thm)],[f6255,f6442]) ).

fof(f6520,plain,
    c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oparts(c_Message_Oanalz(v_H)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f6286,f6444]) ).

fof(f6522,plain,
    c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oparts(v_H),tc_Message_Omsg),
    inference(forward_demodulation,[status(thm)],[f6414,f6520]) ).

fof(f6523,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f6522,f6455]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV278-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n008.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 08:38:39 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.22/0.50  % Drodi V4.1.1
% 0.22/0.55  % Refutation found
% 0.22/0.55  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.55  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.58  % Elapsed time: 0.201586 seconds
% 0.22/0.58  % CPU time: 0.398202 seconds
% 0.22/0.58  % Total memory used: 153.605 MB
% 0.22/0.58  % Net memory used: 152.897 MB
%------------------------------------------------------------------------------