TSTP Solution File: SWV339-2 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWV339-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 20:46:45 EDT 2024

% Result   : Unsatisfiable 0.11s 0.35s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (   7 unt;   0 def)
%            Number of atoms       :   29 (   8 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   21 (  10   ~;   9   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-1 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ( v_K = c_Public_OshrK(v_B)
    | v_K = c_Public_OshrK(v_A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,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/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,plain,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f5,plain,
    ( v_K = c_Public_OshrK(v_B)
    | v_K = c_Public_OshrK(v_A) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f6,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)],[f3]) ).

fof(f7,plain,
    ( spl0_0
  <=> v_K = c_Public_OshrK(v_B) ),
    introduced(split_symbol_definition) ).

fof(f8,plain,
    ( v_K = c_Public_OshrK(v_B)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f7]) ).

fof(f10,plain,
    ( spl0_1
  <=> v_K = c_Public_OshrK(v_A) ),
    introduced(split_symbol_definition) ).

fof(f11,plain,
    ( v_K = c_Public_OshrK(v_A)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f10]) ).

fof(f13,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f5,f7,f10]) ).

fof(f14,plain,
    ! [X0] :
      ( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(X0),tc_Message_Omsg)
      | ~ spl0_0 ),
    inference(paramodulation,[status(thm)],[f8,f6]) ).

fof(f15,plain,
    ( $false
    | ~ spl0_0 ),
    inference(backward_subsumption_resolution,[status(thm)],[f4,f14]) ).

fof(f16,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f15]) ).

fof(f17,plain,
    ! [X0] :
      ( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(X0),tc_Message_Omsg)
      | ~ spl0_1 ),
    inference(paramodulation,[status(thm)],[f11,f6]) ).

fof(f18,plain,
    ( $false
    | ~ spl0_1 ),
    inference(backward_subsumption_resolution,[status(thm)],[f4,f17]) ).

fof(f19,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f18]) ).

fof(f20,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f13,f16,f19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV339-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34  % Computer : n017.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit : 300
% 0.11/0.34  % WCLimit  : 300
% 0.11/0.34  % DateTime : Tue Apr 30 00:18:03 EDT 2024
% 0.11/0.34  % CPUTime  : 
% 0.11/0.35  % Drodi V3.6.0
% 0.11/0.35  % Refutation found
% 0.11/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.37  % Elapsed time: 0.017291 seconds
% 0.11/0.37  % CPU time: 0.017490 seconds
% 0.11/0.37  % Total memory used: 6.232 MB
% 0.11/0.37  % Net memory used: 6.125 MB
%------------------------------------------------------------------------------