TSTP Solution File: SWV244-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWV244-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 20:46:20 EDT 2024

% Result   : Unsatisfiable 0.11s 0.38s
% Output   : CNFRefutation 0.11s
% 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(f1326,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(f1327,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(f1328,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(f1377,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(f1401,negated_conjecture,
    c_in(v_X,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1402,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(f2830,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)],[f1326]) ).

fof(f2831,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_in(X0,X1,X2)
      | c_in(X0,c_union(X3,X1,X2),X2) ),
    inference(cnf_transformation,[status(esa)],[f2830]) ).

fof(f2832,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)],[f1327]) ).

fof(f2833,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_in(X0,X1,X2)
      | c_in(X0,c_union(X1,X3,X2),X2) ),
    inference(cnf_transformation,[status(esa)],[f2832]) ).

fof(f2834,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)],[f1328]) ).

fof(f2835,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)],[f2834]) ).

fof(f2903,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)],[f1377]) ).

fof(f2932,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)],[f1401]) ).

fof(f2933,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)],[f1402]) ).

fof(f2941,plain,
    ~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f2831,f2933]) ).

fof(f2942,plain,
    ~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f2833,f2933]) ).

fof(f2944,plain,
    ~ c_in(v_X,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f2942,f2903]) ).

fof(f2946,plain,
    ~ c_in(v_X,v_H,tc_Message_Omsg),
    inference(resolution,[status(thm)],[f2944,f2831]) ).

fof(f2947,plain,
    ( spl0_1
  <=> c_in(v_X,v_H,tc_Message_Omsg) ),
    introduced(split_symbol_definition) ).

fof(f2948,plain,
    ( c_in(v_X,v_H,tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f2947]) ).

fof(f2950,plain,
    ( spl0_2
  <=> c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
    introduced(split_symbol_definition) ).

fof(f2951,plain,
    ( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f2950]) ).

fof(f2953,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)],[f2835,f2932]) ).

fof(f2954,plain,
    ( spl0_1
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f2953,f2947,f2950]) ).

fof(f2955,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2948,f2946]) ).

fof(f2956,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f2955]) ).

fof(f2957,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2951,f2941]) ).

fof(f2958,plain,
    ~ spl0_2,
    inference(contradiction_clause,[status(thm)],[f2957]) ).

fof(f2959,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f2954,f2956,f2958]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWV244-1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32  % Computer : n017.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Tue Apr 30 00:14:03 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.11/0.37  % Drodi V3.6.0
% 0.11/0.38  % Refutation found
% 0.11/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.40  % Elapsed time: 0.067174 seconds
% 0.17/0.40  % CPU time: 0.108340 seconds
% 0.17/0.40  % Total memory used: 27.630 MB
% 0.17/0.40  % Net memory used: 27.569 MB
%------------------------------------------------------------------------------