TSTP Solution File: SWV259-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV259-1 : 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 : Wed May 31 12:41:05 EDT 2023

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   8 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (  10   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :   27 (;  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f112,axiom,
    ! [V_A,T_a] : c_lessequals(V_A,V_A,tc_set(T_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2689,axiom,
    ! [V_x,V_A,T_a,V_B] :
      ( ~ c_lessequals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a))
      | c_lessequals(V_A,V_B,tc_set(T_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2776,axiom,
    ! [V_G,V_H] :
      ( ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
      | c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2777,axiom,
    ! [V_G,V_H] :
      ( ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
      | c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2779,negated_conjecture,
    ~ c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2924,plain,
    ! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
    inference(cnf_transformation,[status(esa)],[f112]) ).

fof(f6071,plain,
    ! [V_A,T_a,V_B] :
      ( ! [V_x] : ~ c_lessequals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a))
      | c_lessequals(V_A,V_B,tc_set(T_a)) ),
    inference(miniscoping,[status(esa)],[f2689]) ).

fof(f6072,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
      | c_lessequals(X1,X3,tc_set(X2)) ),
    inference(cnf_transformation,[status(esa)],[f6071]) ).

fof(f6177,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
      | c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
    inference(cnf_transformation,[status(esa)],[f2776]) ).

fof(f6178,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
      | c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
    inference(cnf_transformation,[status(esa)],[f2777]) ).

fof(f6180,plain,
    ~ c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(cnf_transformation,[status(esa)],[f2779]) ).

fof(f6324,plain,
    ! [X0] : c_lessequals(X0,c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),
    inference(resolution,[status(thm)],[f6177,f2924]) ).

fof(f6341,plain,
    ! [X0,X1] : c_lessequals(X0,c_Message_Oparts(c_insert(X1,X0,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(resolution,[status(thm)],[f6324,f6072]) ).

fof(f6457,plain,
    ~ c_lessequals(v_H,c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(resolution,[status(thm)],[f6178,f6180]) ).

fof(f6458,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f6457,f6341]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV259-1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 11:53:32 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  % Drodi V3.5.1
% 0.19/0.51  % Refutation found
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.51  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.51  % Elapsed time: 0.162195 seconds
% 0.19/0.51  % CPU time: 0.261425 seconds
% 0.19/0.51  % Memory used: 47.414 MB
%------------------------------------------------------------------------------