TSTP Solution File: SWV244-2 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV244-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.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 12:41:01 EDT 2023

% Result   : Unsatisfiable 0.08s 0.28s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   30 (  11 unt;   0 def)
%            Number of atoms       :   52 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   45 (  23   ~;  20   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :   40 (;  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    c_in(v_X,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,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(f3,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/sandbox/benchmark/theBenchmark.p') ).

fof(f4,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/sandbox/benchmark/theBenchmark.p') ).

fof(f5,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/sandbox/benchmark/theBenchmark.p') ).

fof(f6,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/sandbox/benchmark/theBenchmark.p') ).

fof(f7,plain,
    c_in(v_X,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f8,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)],[f2]) ).

fof(f9,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)],[f3]) ).

fof(f10,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)],[f4]) ).

fof(f11,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_in(X0,X1,X2)
      | c_in(X0,c_union(X3,X1,X2),X2) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f12,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)],[f5]) ).

fof(f13,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_in(X0,X1,X2)
      | c_in(X0,c_union(X1,X3,X2),X2) ),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f14,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)],[f6]) ).

fof(f15,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)],[f14]) ).

fof(f16,plain,
    ~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f11,f8]) ).

fof(f17,plain,
    ~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f13,f8]) ).

fof(f18,plain,
    ~ c_in(v_X,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f17,f9]) ).

fof(f20,plain,
    ~ c_in(v_X,v_H,tc_Message_Omsg),
    inference(resolution,[status(thm)],[f18,f11]) ).

fof(f21,plain,
    ( spl0_0
  <=> c_in(v_X,v_H,tc_Message_Omsg) ),
    introduced(split_symbol_definition) ).

fof(f22,plain,
    ( c_in(v_X,v_H,tc_Message_Omsg)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f21]) ).

fof(f24,plain,
    ( spl0_1
  <=> c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
    introduced(split_symbol_definition) ).

fof(f25,plain,
    ( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f24]) ).

fof(f27,plain,
    ( c_in(v_X,v_H,tc_Message_Omsg)
    | c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f15,f7]) ).

fof(f28,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f27,f21,f24]) ).

fof(f29,plain,
    ( $false
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f22,f20]) ).

fof(f30,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f29]) ).

fof(f31,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f25,f16]) ).

fof(f32,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f31]) ).

fof(f33,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f28,f30,f32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08  % Problem  : SWV244-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit : 300
% 0.08/0.27  % WCLimit  : 300
% 0.08/0.27  % DateTime : Tue May 30 11:43:31 EDT 2023
% 0.08/0.27  % CPUTime  : 
% 0.08/0.28  % Drodi V3.5.1
% 0.08/0.28  % Refutation found
% 0.08/0.28  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.28  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.29  % Elapsed time: 0.012926 seconds
% 0.08/0.29  % CPU time: 0.022633 seconds
% 0.08/0.29  % Memory used: 1.835 MB
%------------------------------------------------------------------------------