TSTP Solution File: SWV247-2 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWV247-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 20:46:21 EDT 2024

% Result   : Unsatisfiable 0.10s 0.36s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   70 (  11 unt;   0 def)
%            Number of atoms       :  150 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  146 (  66   ~;  72   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   9 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   65 (  65   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [V_K,V_X,V_H] :
      ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
      | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [V_K,V_X,V_H] :
      ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
      | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [V_K,V_H] :
      ( ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Osynth(V_H),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [V_X,V_H] :
      ( ~ c_in(V_X,V_H,tc_Message_Omsg)
      | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [V_c,V_B,T_a,V_A] :
      ( ~ c_in(V_c,V_B,T_a)
      | c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [V_c,V_A,T_a,V_B] :
      ( ~ c_in(V_c,V_A,T_a)
      | c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [V_c,V_A,V_B,T_a] :
      ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)
      | c_in(V_c,V_B,T_a)
      | c_in(V_c,V_A,T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    ~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,plain,
    ! [X0,X1,X2] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
      | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg) ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f12,plain,
    ! [V_X,V_H] :
      ( ! [V_K] :
          ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)
          | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) )
      | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
    inference(miniscoping,[status(esa)],[f2]) ).

fof(f13,plain,
    ! [X0,X1,X2] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),c_Message_Oanalz(X2),tc_Message_Omsg)
      | c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ~ c_in(X0,X1,tc_Message_Omsg)
      | c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f16,plain,
    ! [V_c,V_B,T_a] :
      ( ~ c_in(V_c,V_B,T_a)
      | ! [V_A] : c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
    inference(miniscoping,[status(esa)],[f5]) ).

fof(f17,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_in(X0,X1,X2)
      | c_in(X0,c_union(X3,X1,X2),X2) ),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f18,plain,
    ! [V_c,V_A,T_a] :
      ( ~ c_in(V_c,V_A,T_a)
      | ! [V_B] : c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
    inference(miniscoping,[status(esa)],[f6]) ).

fof(f19,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_in(X0,X1,X2)
      | c_in(X0,c_union(X1,X3,X2),X2) ),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f20,plain,
    ! [V_c,V_A,T_a] :
      ( ! [V_B] :
          ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)
          | c_in(V_c,V_B,T_a) )
      | c_in(V_c,V_A,T_a) ),
    inference(miniscoping,[status(esa)],[f7]) ).

fof(f21,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_in(X0,c_union(X1,X2,X3),X3)
      | c_in(X0,X2,X3)
      | c_in(X0,X1,X3) ),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f22,plain,
    c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f23,plain,
    c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f24,plain,
    ~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f25,plain,
    ~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f17,f24]) ).

fof(f26,plain,
    ~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f19,f24]) ).

fof(f30,plain,
    ( spl0_0
  <=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg) ),
    introduced(split_symbol_definition) ).

fof(f31,plain,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f30]) ).

fof(f33,plain,
    ( spl0_1
  <=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(split_symbol_definition) ).

fof(f34,plain,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f33]) ).

fof(f35,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f33]) ).

fof(f36,plain,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f21,f23]) ).

fof(f37,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f36,f30,f33]) ).

fof(f38,plain,
    ( spl0_2
  <=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg) ),
    introduced(split_symbol_definition) ).

fof(f39,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f38]) ).

fof(f41,plain,
    ( spl0_3
  <=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(split_symbol_definition) ).

fof(f42,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f41]) ).

fof(f44,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f21,f22]) ).

fof(f45,plain,
    ( spl0_2
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f44,f38,f41]) ).

fof(f46,plain,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)
    | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f31,f14]) ).

fof(f47,plain,
    ( spl0_4
  <=> c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
    introduced(split_symbol_definition) ).

fof(f48,plain,
    ( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f47]) ).

fof(f50,plain,
    ( spl0_5
  <=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg) ),
    introduced(split_symbol_definition) ).

fof(f51,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f50]) ).

fof(f53,plain,
    ( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f11,f39]) ).

fof(f54,plain,
    ( spl0_4
    | spl0_5
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f53,f47,f50,f38]) ).

fof(f55,plain,
    ! [X0,X1,X2] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
      | c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),X2,tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f13,f15]) ).

fof(f56,plain,
    ( spl0_6
  <=> c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(split_symbol_definition) ).

fof(f57,plain,
    ( c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f56]) ).

fof(f59,plain,
    ( spl0_7
  <=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
    introduced(split_symbol_definition) ).

fof(f61,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
    | spl0_7 ),
    inference(component_clause,[status(thm)],[f59]) ).

fof(f62,plain,
    ( c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
    | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f55,f42]) ).

fof(f63,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f62,f56,f59,f41]) ).

fof(f65,plain,
    ( $false
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f48,f25]) ).

fof(f66,plain,
    ~ spl0_4,
    inference(contradiction_clause,[status(thm)],[f65]) ).

fof(f69,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)
    | spl0_7 ),
    inference(resolution,[status(thm)],[f61,f19]) ).

fof(f70,plain,
    ( $false
    | ~ spl0_0
    | spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f69,f46]) ).

fof(f71,plain,
    ( ~ spl0_0
    | spl0_7 ),
    inference(contradiction_clause,[status(thm)],[f70]) ).

fof(f72,plain,
    ( $false
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f57,f26]) ).

fof(f73,plain,
    ~ spl0_6,
    inference(contradiction_clause,[status(thm)],[f72]) ).

fof(f77,plain,
    ! [X0] :
      ( ~ c_in(c_Message_Omsg_OCrypt(v_K,X0),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(X0,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f34,f13]) ).

fof(f78,plain,
    ! [X0] :
      ( c_in(X0,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(v_K,X0),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
      | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f77,f15]) ).

fof(f79,plain,
    ! [X0] :
      ( c_in(X0,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(v_K,X0),v_G,tc_Message_Omsg)
      | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f78,f19]) ).

fof(f81,plain,
    ( c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(resolution,[status(thm)],[f79,f51]) ).

fof(f82,plain,
    ( spl0_6
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(split_clause,[status(thm)],[f81,f56,f33,f50]) ).

fof(f83,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
    | spl0_1 ),
    inference(resolution,[status(thm)],[f35,f15]) ).

fof(f84,plain,
    ( ~ spl0_7
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f83,f59,f33]) ).

fof(f92,plain,
    ( c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f77,f42]) ).

fof(f93,plain,
    ( spl0_6
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f92,f56,f33,f41]) ).

fof(f95,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f37,f45,f54,f63,f66,f71,f73,f82,f84,f93]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem  : SWV247-2 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.34  % Computer : n028.cluster.edu
% 0.10/0.34  % Model    : x86_64 x86_64
% 0.10/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34  % Memory   : 8042.1875MB
% 0.10/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34  % CPULimit : 300
% 0.10/0.34  % WCLimit  : 300
% 0.10/0.34  % DateTime : Tue Apr 30 01:10:44 EDT 2024
% 0.10/0.34  % CPUTime  : 
% 0.10/0.35  % Drodi V3.6.0
% 0.10/0.36  % Refutation found
% 0.10/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.37  % Elapsed time: 0.018623 seconds
% 0.10/0.37  % CPU time: 0.037393 seconds
% 0.10/0.37  % Total memory used: 2.912 MB
% 0.10/0.37  % Net memory used: 2.896 MB
%------------------------------------------------------------------------------