TSTP Solution File: SWV277-2 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWV277-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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 20:46:30 EDT 2024

% Result   : Unsatisfiable 0.12s 0.36s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  11   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-1 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [V_H] : c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [V_G,V_H] :
      ( ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg))
      | c_lessequals(c_Message_OkeysFor(V_G),c_Message_OkeysFor(V_H),tc_set(tc_nat)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [V_c,V_A,T_a,V_B] :
      ( ~ c_in(V_c,V_A,T_a)
      | ~ c_lessequals(V_A,V_B,tc_set(T_a))
      | c_in(V_c,V_B,T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,plain,
    ! [X0] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
      | c_lessequals(c_Message_OkeysFor(X0),c_Message_OkeysFor(X1),tc_set(tc_nat)) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f8,plain,
    ! [V_c,T_a,V_B] :
      ( ! [V_A] :
          ( ~ c_in(V_c,V_A,T_a)
          | ~ c_lessequals(V_A,V_B,tc_set(T_a)) )
      | c_in(V_c,V_B,T_a) ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f9,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_in(X0,X1,X2)
      | ~ c_lessequals(X1,X3,tc_set(X2))
      | c_in(X0,X3,X2) ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f10,plain,
    ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f11,plain,
    c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f13,plain,
    ! [X0] : c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(X0)),c_Message_OkeysFor(c_Message_Oparts(X0)),tc_set(tc_nat)),
    inference(resolution,[status(thm)],[f7,f6]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Message_OkeysFor(c_Message_Oanalz(X1)),tc_nat)
      | c_in(X0,c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat) ),
    inference(resolution,[status(thm)],[f13,f9]) ).

fof(f15,plain,
    c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
    inference(resolution,[status(thm)],[f14,f11]) ).

fof(f16,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f15,f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV277-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35  % Computer : n010.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Tue Apr 30 00:28:20 EDT 2024
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Drodi V3.6.0
% 0.12/0.36  % Refutation found
% 0.12/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.37  % Elapsed time: 0.017673 seconds
% 0.12/0.37  % CPU time: 0.018766 seconds
% 0.12/0.37  % Total memory used: 4.578 MB
% 0.12/0.37  % Net memory used: 4.485 MB
%------------------------------------------------------------------------------