TSTP Solution File: SWV882-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV882-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.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 12:44:09 EDT 2023

% Result   : Unsatisfiable 30.46s 4.26s
% Output   : CNFRefutation 30.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   18 (  11 unt;   0 def)
%            Number of atoms       :   25 (   3 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    :    5 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-3 aty)
%            Number of variables   :   29 (;  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f482,axiom,
    ! [V_a,V_C,T_a,V_D] :
      ( c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))
      | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f532,axiom,
    ! [T_a,V_A] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f573,axiom,
    ! [V_G,V_ts] :
      ( hBOOL(hAPP(hAPP(v_P,V_G),V_ts))
      | ~ c_lessequals(V_ts,V_G,tc_fun(t_a,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f574,axiom,
    ! [V_a,V_A,T_a] :
      ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
      | ~ c_in(V_a,V_A,T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f592,negated_conjecture,
    c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f593,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1374,plain,
    ! [V_C,T_a,V_D] :
      ( ! [V_a] : c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))
      | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ),
    inference(miniscoping,[status(esa)],[f482]) ).

fof(f1375,plain,
    ! [X0,X1,X2,X3] :
      ( c_lessequals(c_Set_Oinsert(X0,X1,X2),c_Set_Oinsert(X0,X3,X2),tc_fun(X2,tc_bool))
      | ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
    inference(cnf_transformation,[status(esa)],[f1374]) ).

fof(f1441,plain,
    ! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
    inference(cnf_transformation,[status(esa)],[f532]) ).

fof(f1508,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(hAPP(v_P,X0),X1))
      | ~ c_lessequals(X1,X0,tc_fun(t_a,tc_bool)) ),
    inference(cnf_transformation,[status(esa)],[f573]) ).

fof(f1509,plain,
    ! [X0,X1,X2] :
      ( c_Set_Oinsert(X0,X1,X2) = X1
      | ~ c_in(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f574]) ).

fof(f1535,plain,
    c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
    inference(cnf_transformation,[status(esa)],[f592]) ).

fof(f1536,plain,
    ~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
    inference(cnf_transformation,[status(esa)],[f593]) ).

fof(f1596,plain,
    c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a) = v_G,
    inference(resolution,[status(thm)],[f1509,f1535]) ).

fof(f3558,plain,
    ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
    inference(resolution,[status(thm)],[f1508,f1536]) ).

fof(f14111,plain,
    ! [X0,X1,X2] : c_lessequals(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),c_Set_Oinsert(X0,X2,X1),tc_fun(X1,tc_bool)),
    inference(resolution,[status(thm)],[f1375,f1441]) ).

fof(f14191,plain,
    c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
    inference(paramodulation,[status(thm)],[f1596,f14111]) ).

fof(f14192,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f14191,f3558]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWV882-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n007.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 11:23:02 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.10/0.35  % Drodi V3.5.1
% 30.46/4.26  % Refutation found
% 30.46/4.26  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 30.46/4.26  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 30.86/4.32  % Elapsed time: 3.980766 seconds
% 30.86/4.32  % CPU time: 30.894477 seconds
% 30.86/4.32  % Memory used: 321.372 MB
%------------------------------------------------------------------------------