TSTP Solution File: SWV317-2 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV317-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n006.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 : Wed May 31 12:41:18 EDT 2023

% Result   : Unsatisfiable 0.20s 0.58s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   29 (   4 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   21 (  11   ~;   8   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-1 aty)
%            Number of variables   :    5 (;   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ( c_Public_OshrK(v_A) = v_KAB
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [V_A,V_evs] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,plain,
    ~ c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f6,plain,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f7,plain,
    ( c_Public_OshrK(v_A) = v_KAB
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f8,plain,
    ! [X0,X1] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oused(X1),tc_Message_Omsg),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f9,plain,
    ( spl0_0
  <=> c_Public_OshrK(v_A) = v_KAB ),
    introduced(split_symbol_definition) ).

fof(f10,plain,
    ( c_Public_OshrK(v_A) = v_KAB
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f9]) ).

fof(f12,plain,
    ( spl0_1
  <=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    introduced(split_symbol_definition) ).

fof(f13,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f12]) ).

fof(f15,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f7,f9,f12]) ).

fof(f16,plain,
    ! [X0] :
      ( c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(X0),tc_Message_Omsg)
      | ~ spl0_0 ),
    inference(paramodulation,[status(thm)],[f10,f8]) ).

fof(f17,plain,
    ( $false
    | ~ spl0_0 ),
    inference(backward_subsumption_resolution,[status(thm)],[f5,f16]) ).

fof(f18,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f17]) ).

fof(f19,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13,f6]) ).

fof(f20,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f19]) ).

fof(f21,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f15,f18,f20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV317-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue May 30 11:34:47 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Drodi V3.5.1
% 0.20/0.58  % Refutation found
% 0.20/0.58  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.58  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.58  % Elapsed time: 0.012155 seconds
% 0.20/0.58  % CPU time: 0.025631 seconds
% 0.20/0.58  % Memory used: 11.307 MB
%------------------------------------------------------------------------------