%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET845-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n026.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 20:40:31 EDT 2024

% Result   : Unsatisfiable 2.50s 0.72s
% Output   : CNFRefutation 2.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   32 (  11 unt;   0 def)
%            Number of atoms       :   58 (  12 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   50 (  24   ~;  24   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   37 (  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f300,axiom,
    ! [V_A,V_B,T_a] :
      ( ~ c_less(V_A,V_B,tc_set(T_a))
      | ~ c_lessequals(V_B,V_A,tc_set(T_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f302,axiom,
    ! [V_A,V_B,T_a] :
      ( ~ c_lessequals(V_A,V_B,tc_set(T_a))
      | c_less(V_A,V_B,tc_set(T_a))
      | V_A = V_B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1360,axiom,
    ! [V_B,V_A,T_a] :
      ( ~ c_in(V_B,V_A,tc_set(T_a))
      | c_lessequals(V_B,c_Union(V_A,T_a),tc_set(T_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1361,axiom,
    ! [V_x,V_S,T_a] : c_lessequals(V_x,c_Zorn_Osucc(V_S,V_x,T_a),tc_set(tc_set(T_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1362,axiom,
    ! [V_x,V_S,T_a] :
      ( ~ c_in(V_x,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
      | c_in(c_Zorn_Osucc(V_S,V_x,T_a),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1365,negated_conjecture,
    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1366,negated_conjecture,
    v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1367,negated_conjecture,
    v_m != c_Zorn_Osucc(v_S,v_m,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1771,plain,
    ! [X0,X1,X2] :
      ( ~ c_less(X0,X1,tc_set(X2))
      | ~ c_lessequals(X1,X0,tc_set(X2)) ),
    inference(cnf_transformation,[status(esa)],[f300]) ).

fof(f1773,plain,
    ! [V_A,V_B] :
      ( ! [T_a] :
          ( ~ c_lessequals(V_A,V_B,tc_set(T_a))
          | c_less(V_A,V_B,tc_set(T_a)) )
      | V_A = V_B ),
    inference(miniscoping,[status(esa)],[f302]) ).

fof(f1774,plain,
    ! [X0,X1,X2] :
      ( ~ c_lessequals(X0,X1,tc_set(X2))
      | c_less(X0,X1,tc_set(X2))
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f1773]) ).

fof(f2845,plain,
    ! [X0,X1,X2] :
      ( ~ c_in(X0,X1,tc_set(X2))
      | c_lessequals(X0,c_Union(X1,X2),tc_set(X2)) ),
    inference(cnf_transformation,[status(esa)],[f1360]) ).

fof(f2846,plain,
    ! [X0,X1,X2] : c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))),
    inference(cnf_transformation,[status(esa)],[f1361]) ).

fof(f2847,plain,
    ! [X0,X1,X2] :
      ( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | c_in(c_Zorn_Osucc(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
    inference(cnf_transformation,[status(esa)],[f1362]) ).

fof(f2851,plain,
    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(cnf_transformation,[status(esa)],[f1365]) ).

fof(f2852,plain,
    v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
    inference(cnf_transformation,[status(esa)],[f1366]) ).

fof(f2853,plain,
    v_m != c_Zorn_Osucc(v_S,v_m,t_a),
    inference(cnf_transformation,[status(esa)],[f1367]) ).

fof(f2854,plain,
    ! [X0] :
      ( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
    inference(paramodulation,[status(thm)],[f2852,f2845]) ).

fof(f2857,plain,
    ! [X0] :
      ( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a))) ),
    inference(resolution,[status(thm)],[f2847,f2854]) ).

fof(f2896,plain,
    ! [X0] :
      ( c_less(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a)))
      | c_Zorn_Osucc(v_S,X0,t_a) = v_m
      | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolution,[status(thm)],[f1774,f2857]) ).

fof(f2903,plain,
    ! [X0] :
      ( c_Zorn_Osucc(v_S,X0,t_a) = v_m
      | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_lessequals(v_m,c_Zorn_Osucc(v_S,X0,t_a),tc_set(tc_set(t_a))) ),
    inference(resolution,[status(thm)],[f2896,f1771]) ).

fof(f2907,plain,
    ( spl0_2
  <=> c_Zorn_Osucc(v_S,v_m,t_a) = v_m ),
    introduced(split_symbol_definition) ).

fof(f2908,plain,
    ( c_Zorn_Osucc(v_S,v_m,t_a) = v_m
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f2907]) ).

fof(f2910,plain,
    ( spl0_3
  <=> c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    introduced(split_symbol_definition) ).

fof(f2912,plain,
    ( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f2910]) ).

fof(f2913,plain,
    ( c_Zorn_Osucc(v_S,v_m,t_a) = v_m
    | ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolution,[status(thm)],[f2903,f2846]) ).

fof(f2914,plain,
    ( spl0_2
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f2913,f2907,f2910]) ).

fof(f2916,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2912,f2851]) ).

fof(f2917,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f2916]) ).

fof(f2918,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2908,f2853]) ).

fof(f2919,plain,
    ~ spl0_2,
    inference(contradiction_clause,[status(thm)],[f2918]) ).

fof(f2920,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f2914,f2917,f2919]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SET845-1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Apr 29 21:47:49 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.20/0.38  % Drodi V3.6.0
% 2.50/0.72  % Refutation found
% 2.50/0.72  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.50/0.72  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.69/0.76  % Elapsed time: 0.397036 seconds
% 2.69/0.76  % CPU time: 2.741681 seconds
% 2.69/0.76  % Total memory used: 135.759 MB
% 2.69/0.76  % Net memory used: 135.415 MB
%------------------------------------------------------------------------------