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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWV247-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n005.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 02:47:00 PM UTC 2026

% Result   : Unsatisfiable 0.10s 0.38s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   76 (  12 unt;  10 def)
%            Number of atoms       :  159 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  148 (  65   ~;  73   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   12 (  11 usr;  11 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   66 (  66   !;   0   ?)

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

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

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

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

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

fof(f6,axiom,
    ! [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_A,T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [V_c,V_A,V_B,T_a] :
      ( c_in(V_c,V_A,T_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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).

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

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

fof(f13,plain,
    ! [X0,X1,X2] :
      ( c_in(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(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

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

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

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

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

fof(f18,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_A,T_a) ),
    inference(miniscoping,[status(thm)],[f6]) ).

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

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

fof(f21,plain,
    ! [X0,X1,X2,X3] :
      ( c_in(X0,X1,X3)
      | c_in(X0,X2,X3)
      | ~ c_in(X0,c_union(X1,X2,X3),X3) ),
    inference(cnf_transformation,[status(thm)],[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(thm)],[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(thm)],[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(thm)],[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,
    ! [X0,X1,X2] :
      ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),X2,tc_Message_Omsg)
      | c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f13,f15]) ).

fof(f31,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)
    | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f21,f23]) ).

fof(f32,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)
    | c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f21,f22]) ).

fof(f35,definition,
    ( sQ0_spl
  <=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f36,plain,
    ( ~ sQ0_spl
    | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg) ),
    inference(component_clause,[status(thm)],[f35]) ).

fof(f38,definition,
    ( sQ1_spl
  <=> 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(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f39,plain,
    ( ~ sQ1_spl
    | 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(component_clause,[status(thm)],[f38]) ).

fof(f41,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f31,f35,f38]) ).

fof(f42,definition,
    ( sQ2_spl
  <=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f43,plain,
    ( ~ sQ2_spl
    | c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg) ),
    inference(component_clause,[status(thm)],[f42]) ).

fof(f45,definition,
    ( sQ3_spl
  <=> 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(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f46,plain,
    ( ~ sQ3_spl
    | 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(component_clause,[status(thm)],[f45]) ).

fof(f47,plain,
    ( sQ3_spl
    | ~ 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(component_clause,[status(thm)],[f45]) ).

fof(f48,plain,
    ( sQ3_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f32,f42,f45]) ).

fof(f49,plain,
    ( ~ sQ2_spl
    | c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
    | c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f43,f11]) ).

fof(f50,definition,
    ( sQ4_spl
  <=> c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f51,plain,
    ( ~ sQ4_spl
    | c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
    inference(component_clause,[status(thm)],[f50]) ).

fof(f53,definition,
    ( sQ5_spl
  <=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f54,plain,
    ( ~ sQ5_spl
    | c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg) ),
    inference(component_clause,[status(thm)],[f53]) ).

fof(f56,plain,
    ( ~ sQ2_spl
    | sQ5_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f49,f50,f53,f42]) ).

fof(f57,plain,
    ( ~ sQ0_spl
    | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f36,f14]) ).

fof(f58,plain,
    ( ~ sQ3_spl
    | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
    | c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f30,f46]) ).

fof(f59,plain,
    ! [X0,X1,X2] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X2)),X1,tc_Message_Omsg)
      | c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f30,f15]) ).

fof(f60,definition,
    ( sQ6_spl
  <=> c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f61,plain,
    ( ~ sQ6_spl
    | c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(component_clause,[status(thm)],[f60]) ).

fof(f63,definition,
    ( sQ7_spl
  <=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f65,plain,
    ( sQ7_spl
    | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
    inference(component_clause,[status(thm)],[f63]) ).

fof(f66,plain,
    ( ~ sQ3_spl
    | ~ sQ7_spl
    | sQ6_spl ),
    inference(split_clause,[status(thm)],[f58,f60,f63,f45]) ).

fof(f67,plain,
    ( ~ sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f51,f25]) ).

fof(f68,plain,
    ~ sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f67]) ).

fof(f72,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)
    | c_in(v_X,c_Message_Oanalz(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(resolution,[status(thm)],[f59,f22]) ).

fof(f80,definition,
    ( sQ9_spl
  <=> c_in(v_X,c_Message_Oanalz(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) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f83,definition,
    ( sQ10_spl
  <=> 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) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f85,plain,
    ( sQ10_spl
    | ~ 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(component_clause,[status(thm)],[f83]) ).

fof(f86,plain,
    ( ~ sQ10_spl
    | sQ9_spl ),
    inference(split_clause,[status(thm)],[f72,f80,f83]) ).

fof(f87,plain,
    ( sQ10_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f85,f23]) ).

fof(f88,plain,
    sQ10_spl,
    inference(contradiction_clause,[status(thm)],[f87]) ).

fof(f89,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | 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_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f39,f13]) ).

fof(f98,plain,
    ( ~ sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f61,f26]) ).

fof(f99,plain,
    ~ sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f98]) ).

fof(f109,plain,
    ( sQ7_spl
    | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f65,f19]) ).

fof(f112,plain,
    ( ~ sQ3_spl
    | ~ sQ1_spl
    | c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f89,f46]) ).

fof(f114,plain,
    ( ~ sQ3_spl
    | ~ sQ1_spl
    | sQ6_spl ),
    inference(split_clause,[status(thm)],[f112,f60,f38,f45]) ).

fof(f115,plain,
    ( ~ sQ0_spl
    | sQ7_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f57,f109]) ).

fof(f116,plain,
    ( ~ sQ0_spl
    | sQ7_spl ),
    inference(contradiction_clause,[status(thm)],[f115]) ).

fof(f123,plain,
    ( sQ3_spl
    | ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f47,f15]) ).

fof(f124,plain,
    ( sQ3_spl
    | ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f123,f19]) ).

fof(f126,plain,
    ( sQ3_spl
    | ~ sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f124,f54]) ).

fof(f127,plain,
    ( sQ3_spl
    | ~ sQ5_spl ),
    inference(contradiction_clause,[status(thm)],[f126]) ).

fof(f128,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f41,f48,f56,f66,f68,f86,f88,f99,f114,f116,f127]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV247-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n005.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % 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 08:36:03 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  % Drodi V4.1.1
% 0.10/0.38  % Refutation found
% 0.10/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.41  % Elapsed time: 0.032410 seconds
% 0.10/0.41  % CPU time: 0.104526 seconds
% 0.10/0.41  % Total memory used: 13.534 MB
% 0.10/0.41  % Net memory used: 13.252 MB
%------------------------------------------------------------------------------