%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET862-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 12:35:25 EDT 2023

% Result   : Unsatisfiable 4.62s 0.97s
% Output   : CNFRefutation 4.86s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET862-2 : 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 : n022.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 10:12:42 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 4.62/0.97  % Refutation found
% 4.62/0.97  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.62/0.97  % SZS output start CNFRefutation for theBenchmark
% 4.62/0.97  fof(f1,axiom,(
% 4.62/0.97    (![V_B,V_A,T_a]: (( ~ c_lessequals(V_B,V_A,tc_set(T_a))| ~ c_lessequals(V_A,V_B,tc_set(T_a))| V_A = V_B ) ))),
% 4.62/0.97    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/0.97  fof(f2,axiom,(
% 4.62/0.97    (![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) ) ))),
% 4.62/0.97    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/0.97  fof(f3,axiom,(
% 4.62/0.97    (![V_A,V_B,T_a]: (( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)| c_lessequals(V_A,V_B,tc_set(T_a)) ) ))),
% 4.62/0.97    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/0.97  fof(f4,axiom,(
% 4.62/0.97    (![V_A,V_B,T_a]: (( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)| c_lessequals(V_A,V_B,tc_set(T_a)) ) ))),
% 4.62/0.97    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/0.97  fof(f5,axiom,(
% 4.62/0.97    (![V_z,V_S,T_a,V_c]: (( ~ c_in(V_z,V_S,tc_set(T_a))| ~ c_in(V_c,c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a)))| c_in(c_Zorn_Ochain__extend__1(V_c,V_z,T_a),V_c,tc_set(T_a))| c_in(c_union(c_insert(V_z,c_emptyset,tc_set(T_a)),V_c,tc_set(T_a)),c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a))) ) ))),
% 4.62/0.97    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/0.97  fof(f6,axiom,(
% 4.62/0.97    (![V_z,V_S,T_a,V_c]: (( ~ c_in(V_z,V_S,tc_set(T_a))| ~ c_in(V_c,c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_lessequals(c_Zorn_Ochain__extend__1(V_c,V_z,T_a),V_z,tc_set(T_a))| c_in(c_union(c_insert(V_z,c_emptyset,tc_set(T_a)),V_c,tc_set(T_a)),c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a))) ) ))),
% 4.62/0.97    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/0.97  fof(f7,axiom,(
% 4.62/0.97    (![V_z,V_x,T_a,V_c,V_S,V_y]: (( ~ c_in(V_z,V_x,T_a)| ~ c_in(V_c,c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_in(c_union(c_insert(V_x,c_emptyset,tc_set(T_a)),V_c,tc_set(T_a)),c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a)))| c_in(V_z,V_y,T_a)| c_in(c_Zorn_Omaxchain__super__lemma__1(V_c,V_y,T_a),V_c,tc_set(T_a)) ) ))),
% 4.62/0.97    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/0.97  fof(f8,axiom,(
% 4.62/0.97    (![V_z,V_x,T_a,V_c,V_S,V_y]: (( ~ c_in(V_z,V_x,T_a)| ~ c_in(V_c,c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_in(c_union(c_insert(V_x,c_emptyset,tc_set(T_a)),V_c,tc_set(T_a)),c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(V_c,V_y,T_a),V_y,tc_set(T_a))| c_in(V_z,V_y,T_a) ) ))),
% 4.62/0.97    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/0.97  fof(f9,negated_conjecture,(
% 4.62/0.97    c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))) ),
% 4.62/0.97    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/0.97  fof(f10,negated_conjecture,(
% 4.62/0.97    c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
% 4.62/0.97    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/0.97  fof(f11,negated_conjecture,(
% 4.62/0.97    c_in(v_y,v_S,tc_set(t_a)) ),
% 4.62/0.97    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/0.97  fof(f12,negated_conjecture,(
% 4.62/0.97    (![V_U]: (( c_lessequals(V_U,v_y,tc_set(t_a))| ~ c_in(V_U,v_c,tc_set(t_a)) ) ))),
% 4.62/0.97    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/0.97  fof(f13,negated_conjecture,(
% 4.62/0.97    (![V_U]: (( c_in(v_x(V_U),v_S,tc_set(t_a))| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 4.62/0.97    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/0.97  fof(f14,negated_conjecture,(
% 4.62/0.97    (![V_U]: (( c_lessequals(V_U,v_x(V_U),tc_set(t_a))| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 4.62/0.97    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/0.97  fof(f15,negated_conjecture,(
% 4.62/0.97    (![V_U]: (( V_U != v_x(V_U)| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 4.62/0.97    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.62/0.97  fof(f16,plain,(
% 4.62/0.97    ![V_B,V_A]: ((![T_a]: (~c_lessequals(V_B,V_A,tc_set(T_a))|~c_lessequals(V_A,V_B,tc_set(T_a))))|V_A=V_B)),
% 4.62/0.97    inference(miniscoping,[status(esa)],[f1])).
% 4.62/0.97  fof(f17,plain,(
% 4.62/0.97    ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 4.62/0.97    inference(cnf_transformation,[status(esa)],[f16])).
% 4.62/0.97  fof(f18,plain,(
% 4.62/0.97    ![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))),
% 4.62/0.97    inference(miniscoping,[status(esa)],[f2])).
% 4.62/0.97  fof(f19,plain,(
% 4.62/0.97    ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 4.86/0.98    inference(cnf_transformation,[status(esa)],[f18])).
% 4.86/0.98  fof(f20,plain,(
% 4.86/0.98    ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 4.86/0.98    inference(cnf_transformation,[status(esa)],[f3])).
% 4.86/0.98  fof(f21,plain,(
% 4.86/0.98    ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 4.86/0.98    inference(cnf_transformation,[status(esa)],[f4])).
% 4.86/0.98  fof(f22,plain,(
% 4.86/0.98    ![X0,X1,X2,X3]: (~c_in(X0,X1,tc_set(X2))|~c_in(X3,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))|c_in(c_Zorn_Ochain__extend__1(X3,X0,X2),X3,tc_set(X2))|c_in(c_union(c_insert(X0,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))))),
% 4.86/0.98    inference(cnf_transformation,[status(esa)],[f5])).
% 4.86/0.98  fof(f23,plain,(
% 4.86/0.98    ![X0,X1,X2,X3]: (~c_in(X0,X1,tc_set(X2))|~c_in(X3,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))|~c_lessequals(c_Zorn_Ochain__extend__1(X3,X0,X2),X0,tc_set(X2))|c_in(c_union(c_insert(X0,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))))),
% 4.86/0.98    inference(cnf_transformation,[status(esa)],[f6])).
% 4.86/0.98  fof(f24,plain,(
% 4.86/0.98    ![T_a,V_c,V_y]: ((![V_z]: ((![V_x,V_S]: ((~c_in(V_z,V_x,T_a)|~c_in(V_c,c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a))))|~c_in(c_union(c_insert(V_x,c_emptyset,tc_set(T_a)),V_c,tc_set(T_a)),c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a)))))|c_in(V_z,V_y,T_a)))|c_in(c_Zorn_Omaxchain__super__lemma__1(V_c,V_y,T_a),V_c,tc_set(T_a)))),
% 4.86/0.98    inference(miniscoping,[status(esa)],[f7])).
% 4.86/0.98  fof(f25,plain,(
% 4.86/0.98    ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,X1,X2)|~c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))|~c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))|c_in(X0,X5,X2)|c_in(c_Zorn_Omaxchain__super__lemma__1(X3,X5,X2),X3,tc_set(X2)))),
% 4.86/0.98    inference(cnf_transformation,[status(esa)],[f24])).
% 4.86/0.98  fof(f26,plain,(
% 4.86/0.98    ![V_z,T_a,V_y]: ((![V_c]: ((![V_x,V_S]: ((~c_in(V_z,V_x,T_a)|~c_in(V_c,c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a))))|~c_in(c_union(c_insert(V_x,c_emptyset,tc_set(T_a)),V_c,tc_set(T_a)),c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a)))))|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(V_c,V_y,T_a),V_y,tc_set(T_a))))|c_in(V_z,V_y,T_a))),
% 4.86/0.98    inference(miniscoping,[status(esa)],[f8])).
% 4.86/0.98  fof(f27,plain,(
% 4.86/0.98    ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,X1,X2)|~c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))|~c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X3,X5,X2),X5,tc_set(X2))|c_in(X0,X5,X2))),
% 4.86/0.98    inference(cnf_transformation,[status(esa)],[f26])).
% 4.86/0.98  fof(f28,plain,(
% 4.86/0.98    c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))),
% 4.86/0.98    inference(cnf_transformation,[status(esa)],[f9])).
% 4.86/0.98  fof(f29,plain,(
% 4.86/0.98    c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))),
% 4.86/0.98    inference(cnf_transformation,[status(esa)],[f10])).
% 4.86/0.98  fof(f30,plain,(
% 4.86/0.98    c_in(v_y,v_S,tc_set(t_a))),
% 4.86/0.98    inference(cnf_transformation,[status(esa)],[f11])).
% 4.86/0.98  fof(f31,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_y,tc_set(t_a))|~c_in(X0,v_c,tc_set(t_a)))),
% 4.86/0.98    inference(cnf_transformation,[status(esa)],[f12])).
% 4.86/0.98  fof(f32,plain,(
% 4.86/0.98    ![X0]: (c_in(v_x(X0),v_S,tc_set(t_a))|~c_in(X0,v_S,tc_set(t_a)))),
% 4.86/0.98    inference(cnf_transformation,[status(esa)],[f13])).
% 4.86/0.98  fof(f33,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(X0),tc_set(t_a))|~c_in(X0,v_S,tc_set(t_a)))),
% 4.86/0.98    inference(cnf_transformation,[status(esa)],[f14])).
% 4.86/0.98  fof(f34,plain,(
% 4.86/0.98    ![X0]: (~X0=v_x(X0)|~c_in(X0,v_S,tc_set(t_a)))),
% 4.86/0.98    inference(cnf_transformation,[status(esa)],[f15])).
% 4.86/0.98  fof(f35,plain,(
% 4.86/0.98    ![X0]: (~c_lessequals(v_x(X0),X0,tc_set(t_a))|X0=v_x(X0)|~c_in(X0,v_S,tc_set(t_a)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f17,f33])).
% 4.86/0.98  fof(f36,plain,(
% 4.86/0.98    ![X0]: (~c_lessequals(v_x(X0),X0,tc_set(t_a))|~c_in(X0,v_S,tc_set(t_a)))),
% 4.86/0.98    inference(forward_subsumption_resolution,[status(thm)],[f35,f34])).
% 4.86/0.98  fof(f37,plain,(
% 4.86/0.98    ![X0,X1]: (~c_in(X0,X1,t_a)|c_in(X0,v_x(X1),t_a)|~c_in(X1,v_S,tc_set(t_a)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f19,f33])).
% 4.86/0.98  fof(f38,plain,(
% 4.86/0.98    ![X0,X1]: (~c_in(X0,v_x(X1),t_a)|c_in(X0,v_x(v_x(X1)),t_a)|~c_in(X1,v_S,tc_set(t_a)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f37,f32])).
% 4.86/0.98  fof(f39,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_y,t_a)|c_in(X0,v_x(v_y),t_a))),
% 4.86/0.98    inference(resolution,[status(thm)],[f37,f30])).
% 4.86/0.98  fof(f41,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_y,tc_set(t_a)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f20,f31])).
% 4.86/0.98  fof(f42,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~c_in(X1,c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),t_a)|c_in(X1,v_y,t_a))),
% 4.86/0.98    inference(resolution,[status(thm)],[f41,f19])).
% 4.86/0.98  fof(f44,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),X1,t_a),v_y,t_a)|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),X1,tc_set(t_a)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f42,f20])).
% 4.86/0.98  fof(f47,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1))|c_lessequals(X0,X0,tc_set(X1)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f21,f20])).
% 4.86/0.98  fof(f48,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 4.86/0.98    inference(duplicate_literals_removal,[status(esa)],[f47])).
% 4.86/0.98  fof(f50,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(X0,v_x(v_x(X1)),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(X1)),t_a),v_x(X1),t_a)|~c_in(X1,v_S,tc_set(t_a)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f21,f38])).
% 4.86/0.98  fof(f51,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_y),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_y),t_a),v_y,t_a))),
% 4.86/0.98    inference(resolution,[status(thm)],[f21,f39])).
% 4.86/0.98  fof(f52,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_y),tc_set(t_a))|c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_y),tc_set(t_a)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f51,f44])).
% 4.86/0.98  fof(f53,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_y),tc_set(t_a))|c_lessequals(v_c,X0,tc_set(tc_set(t_a))))),
% 4.86/0.98    inference(duplicate_literals_removal,[status(esa)],[f52])).
% 4.86/0.98  fof(f54,plain,(
% 4.86/0.98    spl0_0 <=> c_lessequals(v_y,v_x(v_y),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f55,plain,(
% 4.86/0.98    c_lessequals(v_y,v_x(v_y),tc_set(t_a))|~spl0_0),
% 4.86/0.98    inference(component_clause,[status(thm)],[f54])).
% 4.86/0.98  fof(f57,plain,(
% 4.86/0.98    c_lessequals(v_y,v_x(v_y),tc_set(t_a))|c_lessequals(v_y,v_x(v_y),tc_set(t_a))),
% 4.86/0.98    inference(resolution,[status(thm)],[f51,f20])).
% 4.86/0.98  fof(f58,plain,(
% 4.86/0.98    spl0_0),
% 4.86/0.98    inference(split_clause,[status(thm)],[f57,f54])).
% 4.86/0.98  fof(f60,plain,(
% 4.86/0.98    spl0_1 <=> c_lessequals(v_x(v_y),v_y,tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f63,plain,(
% 4.86/0.98    spl0_2 <=> v_y=v_x(v_y)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f64,plain,(
% 4.86/0.98    v_y=v_x(v_y)|~spl0_2),
% 4.86/0.98    inference(component_clause,[status(thm)],[f63])).
% 4.86/0.98  fof(f66,plain,(
% 4.86/0.98    ~c_lessequals(v_x(v_y),v_y,tc_set(t_a))|v_y=v_x(v_y)|~spl0_0),
% 4.86/0.98    inference(resolution,[status(thm)],[f55,f17])).
% 4.86/0.98  fof(f67,plain,(
% 4.86/0.98    ~spl0_1|spl0_2|~spl0_0),
% 4.86/0.98    inference(split_clause,[status(thm)],[f66,f60,f63,f54])).
% 4.86/0.98  fof(f68,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~c_in(X1,c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),t_a)|c_in(X1,v_x(v_y),t_a))),
% 4.86/0.98    inference(resolution,[status(thm)],[f53,f19])).
% 4.86/0.98  fof(f70,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),X1,t_a),v_x(v_y),t_a)|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),X1,tc_set(t_a)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f68,f20])).
% 4.86/0.98  fof(f75,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(X0,v_x(v_x(v_x(X1))),tc_set(t_a))|~c_in(v_x(X1),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(X1))),t_a),v_x(X1),t_a)|~c_in(X1,v_S,tc_set(t_a)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f50,f38])).
% 4.86/0.98  fof(f76,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(X0,v_x(v_x(v_x(X1))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(X1))),t_a),v_x(X1),t_a)|~c_in(X1,v_S,tc_set(t_a)))),
% 4.86/0.98    inference(forward_subsumption_resolution,[status(thm)],[f75,f32])).
% 4.86/0.98  fof(f77,plain,(
% 4.86/0.98    spl0_3 <=> c_lessequals(X0,v_x(v_x(v_y)),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_y)),t_a),v_y,t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f78,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_y)),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_y)),t_a),v_y,t_a)|~spl0_3)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f77])).
% 4.86/0.98  fof(f80,plain,(
% 4.86/0.98    spl0_4 <=> c_in(v_y,v_S,tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f82,plain,(
% 4.86/0.98    ~c_in(v_y,v_S,tc_set(t_a))|spl0_4),
% 4.86/0.98    inference(component_clause,[status(thm)],[f80])).
% 4.86/0.98  fof(f83,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_y)),tc_set(t_a))|~c_in(v_y,v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_y)),t_a),v_y,t_a))),
% 4.86/0.98    inference(resolution,[status(thm)],[f50,f39])).
% 4.86/0.98  fof(f84,plain,(
% 4.86/0.98    spl0_3|~spl0_4),
% 4.86/0.98    inference(split_clause,[status(thm)],[f83,f77,f80])).
% 4.86/0.98  fof(f85,plain,(
% 4.86/0.98    $false|spl0_4),
% 4.86/0.98    inference(forward_subsumption_resolution,[status(thm)],[f82,f30])).
% 4.86/0.98  fof(f86,plain,(
% 4.86/0.98    spl0_4),
% 4.86/0.98    inference(contradiction_clause,[status(thm)],[f85])).
% 4.86/0.98  fof(f89,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_y)),tc_set(t_a))|c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_y)),tc_set(t_a))|~spl0_3)),
% 4.86/0.98    inference(resolution,[status(thm)],[f78,f44])).
% 4.86/0.98  fof(f90,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_y)),tc_set(t_a))|c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~spl0_3)),
% 4.86/0.98    inference(duplicate_literals_removal,[status(esa)],[f89])).
% 4.86/0.98  fof(f91,plain,(
% 4.86/0.98    spl0_5 <=> c_lessequals(v_y,v_x(v_x(v_y)),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f92,plain,(
% 4.86/0.98    c_lessequals(v_y,v_x(v_x(v_y)),tc_set(t_a))|~spl0_5),
% 4.86/0.98    inference(component_clause,[status(thm)],[f91])).
% 4.86/0.98  fof(f94,plain,(
% 4.86/0.98    c_lessequals(v_y,v_x(v_x(v_y)),tc_set(t_a))|c_lessequals(v_y,v_x(v_x(v_y)),tc_set(t_a))|~spl0_3),
% 4.86/0.98    inference(resolution,[status(thm)],[f78,f20])).
% 4.86/0.98  fof(f95,plain,(
% 4.86/0.98    spl0_5|~spl0_3),
% 4.86/0.98    inference(split_clause,[status(thm)],[f94,f91,f77])).
% 4.86/0.98  fof(f96,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_y,t_a)|c_in(X0,v_x(v_x(v_y)),t_a)|~spl0_5)),
% 4.86/0.98    inference(resolution,[status(thm)],[f92,f19])).
% 4.86/0.98  fof(f105,plain,(
% 4.86/0.98    spl0_8 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_y))),t_a),v_y,t_a)|c_lessequals(X0,v_x(v_x(v_x(v_y))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f106,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_y))),t_a),v_y,t_a)|c_lessequals(X0,v_x(v_x(v_x(v_y))),tc_set(t_a))|~spl0_8)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f105])).
% 4.86/0.98  fof(f108,plain,(
% 4.86/0.98    spl0_9 <=> c_in(v_x(v_y),v_S,tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f109,plain,(
% 4.86/0.98    c_in(v_x(v_y),v_S,tc_set(t_a))|~spl0_9),
% 4.86/0.98    inference(component_clause,[status(thm)],[f108])).
% 4.86/0.98  fof(f110,plain,(
% 4.86/0.98    ~c_in(v_x(v_y),v_S,tc_set(t_a))|spl0_9),
% 4.86/0.98    inference(component_clause,[status(thm)],[f108])).
% 4.86/0.98  fof(f111,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_y))),t_a),v_y,t_a)|c_lessequals(X0,v_x(v_x(v_x(v_y))),tc_set(t_a))|~c_in(v_x(v_y),v_S,tc_set(t_a))|~spl0_5)),
% 4.86/0.98    inference(resolution,[status(thm)],[f96,f50])).
% 4.86/0.98  fof(f112,plain,(
% 4.86/0.98    spl0_8|~spl0_9|~spl0_5),
% 4.86/0.98    inference(split_clause,[status(thm)],[f111,f105,f108,f91])).
% 4.86/0.98  fof(f113,plain,(
% 4.86/0.98    ~c_in(v_y,v_S,tc_set(t_a))|spl0_9),
% 4.86/0.98    inference(resolution,[status(thm)],[f110,f32])).
% 4.86/0.98  fof(f114,plain,(
% 4.86/0.98    ~spl0_4|spl0_9),
% 4.86/0.98    inference(split_clause,[status(thm)],[f113,f80,f108])).
% 4.86/0.98  fof(f115,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_x(v_y),t_a)|c_in(X0,v_x(v_x(v_y)),t_a)|~spl0_9)),
% 4.86/0.98    inference(resolution,[status(thm)],[f109,f37])).
% 4.86/0.98  fof(f120,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(v_x(X0),v_x(v_x(v_x(X0))),tc_set(t_a))|~c_in(X0,v_S,tc_set(t_a))|c_lessequals(v_x(X0),v_x(v_x(v_x(X0))),tc_set(t_a)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f76,f20])).
% 4.86/0.98  fof(f121,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(v_x(X0),v_x(v_x(v_x(X0))),tc_set(t_a))|~c_in(X0,v_S,tc_set(t_a)))),
% 4.86/0.98    inference(duplicate_literals_removal,[status(esa)],[f120])).
% 4.86/0.98  fof(f124,plain,(
% 4.86/0.98    spl0_10 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_y)))),t_a),v_y,t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f125,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_y)))),t_a),v_y,t_a)|~spl0_10)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f124])).
% 4.86/0.98  fof(f127,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))|~c_in(v_x(v_y),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_y)))),t_a),v_y,t_a)|~spl0_5)),
% 4.86/0.98    inference(resolution,[status(thm)],[f76,f96])).
% 4.86/0.98  fof(f128,plain,(
% 4.86/0.98    spl0_10|~spl0_9|~spl0_5),
% 4.86/0.98    inference(split_clause,[status(thm)],[f127,f124,f108,f91])).
% 4.86/0.98  fof(f129,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(X0,v_x(v_x(v_x(v_x(X1)))),tc_set(t_a))|~c_in(v_x(X1),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(X1)))),t_a),v_x(X1),t_a)|~c_in(X1,v_S,tc_set(t_a)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f76,f38])).
% 4.86/0.98  fof(f130,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(X0,v_x(v_x(v_x(v_x(X1)))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(X1)))),t_a),v_x(X1),t_a)|~c_in(X1,v_S,tc_set(t_a)))),
% 4.86/0.98    inference(forward_subsumption_resolution,[status(thm)],[f129,f32])).
% 4.86/0.98  fof(f133,plain,(
% 4.86/0.98    spl0_11 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_y)))),t_a),v_x(v_y),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f134,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_y)))),t_a),v_x(v_y),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))|~spl0_11)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f133])).
% 4.86/0.98  fof(f136,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_y)))),t_a),v_x(v_y),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))|~c_in(v_x(v_y),v_S,tc_set(t_a))|~spl0_9)),
% 4.86/0.98    inference(resolution,[status(thm)],[f115,f76])).
% 4.86/0.98  fof(f137,plain,(
% 4.86/0.98    spl0_11|~spl0_9),
% 4.86/0.98    inference(split_clause,[status(thm)],[f136,f133,f108])).
% 4.86/0.98  fof(f138,plain,(
% 4.86/0.98    spl0_12 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_y))),t_a),v_x(v_y),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_y))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f139,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_y))),t_a),v_x(v_y),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_y))),tc_set(t_a))|~spl0_12)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f138])).
% 4.86/0.98  fof(f141,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_y))),t_a),v_x(v_y),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_y))),tc_set(t_a))|~c_in(v_x(v_y),v_S,tc_set(t_a))|~spl0_9)),
% 4.86/0.98    inference(resolution,[status(thm)],[f115,f50])).
% 4.86/0.98  fof(f142,plain,(
% 4.86/0.98    spl0_12|~spl0_9),
% 4.86/0.98    inference(split_clause,[status(thm)],[f141,f138,f108])).
% 4.86/0.98  fof(f143,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_y)),t_a),v_x(v_y),t_a)|c_lessequals(X0,v_x(v_x(v_y)),tc_set(t_a))|~spl0_9)),
% 4.86/0.98    inference(resolution,[status(thm)],[f115,f21])).
% 4.86/0.98  fof(f144,plain,(
% 4.86/0.98    ![X0,X1]: (~c_in(X0,v_S,tc_set(t_a))|~c_in(X1,v_x(X0),t_a)|c_in(X1,v_x(v_x(v_x(X0))),t_a))),
% 4.86/0.98    inference(resolution,[status(thm)],[f121,f19])).
% 4.86/0.98  fof(f149,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~c_in(X1,c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),t_a)|c_in(X1,v_x(v_x(v_y)),t_a)|~spl0_3)),
% 4.86/0.98    inference(resolution,[status(thm)],[f90,f19])).
% 4.86/0.98  fof(f151,plain,(
% 4.86/0.98    spl0_13 <=> c_lessequals(v_x(v_y),v_x(v_x(v_y)),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f154,plain,(
% 4.86/0.98    c_lessequals(v_x(v_y),v_x(v_x(v_y)),tc_set(t_a))|c_lessequals(v_x(v_y),v_x(v_x(v_y)),tc_set(t_a))|~spl0_9),
% 4.86/0.98    inference(resolution,[status(thm)],[f143,f20])).
% 4.86/0.98  fof(f155,plain,(
% 4.86/0.98    spl0_13|~spl0_9),
% 4.86/0.98    inference(split_clause,[status(thm)],[f154,f151,f108])).
% 4.86/0.98  fof(f164,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_y))),tc_set(t_a))|c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_y))),tc_set(t_a))|~spl0_8)),
% 4.86/0.98    inference(resolution,[status(thm)],[f106,f44])).
% 4.86/0.98  fof(f165,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_y))),tc_set(t_a))|c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~spl0_8)),
% 4.86/0.98    inference(duplicate_literals_removal,[status(esa)],[f164])).
% 4.86/0.98  fof(f166,plain,(
% 4.86/0.98    spl0_16 <=> c_lessequals(v_y,v_x(v_x(v_x(v_y))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f167,plain,(
% 4.86/0.98    c_lessequals(v_y,v_x(v_x(v_x(v_y))),tc_set(t_a))|~spl0_16),
% 4.86/0.98    inference(component_clause,[status(thm)],[f166])).
% 4.86/0.98  fof(f169,plain,(
% 4.86/0.98    c_lessequals(v_y,v_x(v_x(v_x(v_y))),tc_set(t_a))|c_lessequals(v_y,v_x(v_x(v_x(v_y))),tc_set(t_a))|~spl0_8),
% 4.86/0.98    inference(resolution,[status(thm)],[f106,f20])).
% 4.86/0.98  fof(f170,plain,(
% 4.86/0.98    spl0_16|~spl0_8),
% 4.86/0.98    inference(split_clause,[status(thm)],[f169,f166,f105])).
% 4.86/0.98  fof(f171,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_y,t_a)|c_in(X0,v_x(v_x(v_x(v_y))),t_a)|~spl0_16)),
% 4.86/0.98    inference(resolution,[status(thm)],[f167,f19])).
% 4.86/0.98  fof(f180,plain,(
% 4.86/0.98    spl0_19 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),t_a),v_y,t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f181,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),t_a),v_y,t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|~spl0_19)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f180])).
% 4.86/0.98  fof(f183,plain,(
% 4.86/0.98    spl0_20 <=> c_in(v_x(v_x(v_y)),v_S,tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f184,plain,(
% 4.86/0.98    c_in(v_x(v_x(v_y)),v_S,tc_set(t_a))|~spl0_20),
% 4.86/0.98    inference(component_clause,[status(thm)],[f183])).
% 4.86/0.98  fof(f185,plain,(
% 4.86/0.98    ~c_in(v_x(v_x(v_y)),v_S,tc_set(t_a))|spl0_20),
% 4.86/0.98    inference(component_clause,[status(thm)],[f183])).
% 4.86/0.98  fof(f186,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),t_a),v_y,t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|~c_in(v_x(v_x(v_y)),v_S,tc_set(t_a))|~spl0_16)),
% 4.86/0.98    inference(resolution,[status(thm)],[f171,f76])).
% 4.86/0.98  fof(f187,plain,(
% 4.86/0.98    spl0_19|~spl0_20|~spl0_16),
% 4.86/0.98    inference(split_clause,[status(thm)],[f186,f180,f183,f166])).
% 4.86/0.98  fof(f190,plain,(
% 4.86/0.98    ~c_in(v_x(v_y),v_S,tc_set(t_a))|spl0_20),
% 4.86/0.98    inference(resolution,[status(thm)],[f185,f32])).
% 4.86/0.98  fof(f191,plain,(
% 4.86/0.98    ~spl0_9|spl0_20),
% 4.86/0.98    inference(split_clause,[status(thm)],[f190,f108,f183])).
% 4.86/0.98  fof(f192,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_x(v_x(v_y)),t_a)|c_in(X0,v_x(v_x(v_x(v_y))),t_a)|~spl0_20)),
% 4.86/0.98    inference(resolution,[status(thm)],[f184,f37])).
% 4.86/0.98  fof(f193,plain,(
% 4.86/0.98    spl0_21 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),t_a),v_x(v_x(v_y)),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f194,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),t_a),v_x(v_x(v_y)),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|~spl0_21)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f193])).
% 4.86/0.98  fof(f196,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),t_a),v_x(v_x(v_y)),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|~c_in(v_x(v_x(v_y)),v_S,tc_set(t_a))|~spl0_20)),
% 4.86/0.98    inference(resolution,[status(thm)],[f192,f76])).
% 4.86/0.98  fof(f197,plain,(
% 4.86/0.98    spl0_21|~spl0_20),
% 4.86/0.98    inference(split_clause,[status(thm)],[f196,f193,f183])).
% 4.86/0.98  fof(f198,plain,(
% 4.86/0.98    spl0_22 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_y)))),t_a),v_x(v_x(v_y)),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f199,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_y)))),t_a),v_x(v_x(v_y)),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))|~spl0_22)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f198])).
% 4.86/0.98  fof(f201,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_y)))),t_a),v_x(v_x(v_y)),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))|~c_in(v_x(v_x(v_y)),v_S,tc_set(t_a))|~spl0_20)),
% 4.86/0.98    inference(resolution,[status(thm)],[f192,f50])).
% 4.86/0.98  fof(f202,plain,(
% 4.86/0.98    spl0_22|~spl0_20),
% 4.86/0.98    inference(split_clause,[status(thm)],[f201,f198,f183])).
% 4.86/0.98  fof(f203,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_y))),t_a),v_x(v_x(v_y)),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_y))),tc_set(t_a))|~spl0_20)),
% 4.86/0.98    inference(resolution,[status(thm)],[f192,f21])).
% 4.86/0.98  fof(f204,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~c_in(X1,c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),t_a)|c_in(X1,v_x(v_x(v_x(v_y))),t_a)|~spl0_8)),
% 4.86/0.98    inference(resolution,[status(thm)],[f165,f19])).
% 4.86/0.98  fof(f206,plain,(
% 4.86/0.98    spl0_23 <=> c_lessequals(v_x(v_y),v_x(v_x(v_x(v_y))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f209,plain,(
% 4.86/0.98    c_lessequals(v_x(v_y),v_x(v_x(v_x(v_y))),tc_set(t_a))|c_lessequals(v_x(v_y),v_x(v_x(v_x(v_y))),tc_set(t_a))|~spl0_12),
% 4.86/0.98    inference(resolution,[status(thm)],[f139,f20])).
% 4.86/0.98  fof(f210,plain,(
% 4.86/0.98    spl0_23|~spl0_12),
% 4.86/0.98    inference(split_clause,[status(thm)],[f209,f206,f138])).
% 4.86/0.98  fof(f226,plain,(
% 4.86/0.98    spl0_26 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),t_a),v_x(v_y),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f227,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),t_a),v_x(v_y),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|~spl0_26)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f226])).
% 4.86/0.98  fof(f233,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),X1,t_a),v_x(v_x(v_y)),t_a)|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),X1,tc_set(t_a))|~spl0_3)),
% 4.86/0.98    inference(resolution,[status(thm)],[f149,f20])).
% 4.86/0.98  fof(f236,plain,(
% 4.86/0.98    spl0_27 <=> c_lessequals(v_y,v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f237,plain,(
% 4.86/0.98    c_lessequals(v_y,v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))|~spl0_27),
% 4.86/0.98    inference(component_clause,[status(thm)],[f236])).
% 4.86/0.98  fof(f239,plain,(
% 4.86/0.98    c_lessequals(v_y,v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))|c_lessequals(v_y,v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))|~spl0_10),
% 4.86/0.98    inference(resolution,[status(thm)],[f125,f20])).
% 4.86/0.98  fof(f240,plain,(
% 4.86/0.98    spl0_27|~spl0_10),
% 4.86/0.98    inference(split_clause,[status(thm)],[f239,f236,f124])).
% 4.86/0.98  fof(f241,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_y,t_a)|c_in(X0,v_x(v_x(v_x(v_x(v_y)))),t_a)|~spl0_27)),
% 4.86/0.98    inference(resolution,[status(thm)],[f237,f19])).
% 4.86/0.98  fof(f250,plain,(
% 4.86/0.98    spl0_30 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a),v_y,t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f251,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a),v_y,t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~spl0_30)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f250])).
% 4.86/0.98  fof(f253,plain,(
% 4.86/0.98    spl0_31 <=> c_in(v_x(v_x(v_x(v_y))),v_S,tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f254,plain,(
% 4.86/0.98    c_in(v_x(v_x(v_x(v_y))),v_S,tc_set(t_a))|~spl0_31),
% 4.86/0.98    inference(component_clause,[status(thm)],[f253])).
% 4.86/0.98  fof(f255,plain,(
% 4.86/0.98    ~c_in(v_x(v_x(v_x(v_y))),v_S,tc_set(t_a))|spl0_31),
% 4.86/0.98    inference(component_clause,[status(thm)],[f253])).
% 4.86/0.98  fof(f256,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a),v_y,t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_y))),v_S,tc_set(t_a))|~spl0_27)),
% 4.86/0.98    inference(resolution,[status(thm)],[f241,f76])).
% 4.86/0.98  fof(f257,plain,(
% 4.86/0.98    spl0_30|~spl0_31|~spl0_27),
% 4.86/0.98    inference(split_clause,[status(thm)],[f256,f250,f253,f236])).
% 4.86/0.98  fof(f260,plain,(
% 4.86/0.98    ~c_in(v_x(v_x(v_y)),v_S,tc_set(t_a))|spl0_31),
% 4.86/0.98    inference(resolution,[status(thm)],[f255,f32])).
% 4.86/0.98  fof(f261,plain,(
% 4.86/0.98    ~spl0_20|spl0_31),
% 4.86/0.98    inference(split_clause,[status(thm)],[f260,f183,f253])).
% 4.86/0.98  fof(f262,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_x(v_x(v_x(v_y))),t_a)|c_in(X0,v_x(v_x(v_x(v_x(v_y)))),t_a)|~spl0_31)),
% 4.86/0.98    inference(resolution,[status(thm)],[f254,f37])).
% 4.86/0.98  fof(f263,plain,(
% 4.86/0.98    spl0_32 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a),v_x(v_x(v_x(v_y))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f264,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a),v_x(v_x(v_x(v_y))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~spl0_32)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f263])).
% 4.86/0.98  fof(f266,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a),v_x(v_x(v_x(v_y))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_y))),v_S,tc_set(t_a))|~spl0_31)),
% 4.86/0.98    inference(resolution,[status(thm)],[f262,f76])).
% 4.86/0.98  fof(f267,plain,(
% 4.86/0.98    spl0_32|~spl0_31),
% 4.86/0.98    inference(split_clause,[status(thm)],[f266,f263,f253])).
% 4.86/0.98  fof(f268,plain,(
% 4.86/0.98    spl0_33 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),t_a),v_x(v_x(v_x(v_y))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f269,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),t_a),v_x(v_x(v_x(v_y))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|~spl0_33)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f268])).
% 4.86/0.98  fof(f271,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),t_a),v_x(v_x(v_x(v_y))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_y))),v_S,tc_set(t_a))|~spl0_31)),
% 4.86/0.98    inference(resolution,[status(thm)],[f262,f50])).
% 4.86/0.98  fof(f272,plain,(
% 4.86/0.98    spl0_33|~spl0_31),
% 4.86/0.98    inference(split_clause,[status(thm)],[f271,f268,f253])).
% 4.86/0.98  fof(f273,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_y)))),t_a),v_x(v_x(v_x(v_y))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))|~spl0_31)),
% 4.86/0.98    inference(resolution,[status(thm)],[f262,f21])).
% 4.86/0.98  fof(f276,plain,(
% 4.86/0.98    spl0_34 <=> c_lessequals(v_x(v_x(v_y)),v_x(v_x(v_x(v_y))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f277,plain,(
% 4.86/0.98    c_lessequals(v_x(v_x(v_y)),v_x(v_x(v_x(v_y))),tc_set(t_a))|~spl0_34),
% 4.86/0.98    inference(component_clause,[status(thm)],[f276])).
% 4.86/0.98  fof(f279,plain,(
% 4.86/0.98    c_lessequals(v_x(v_x(v_y)),v_x(v_x(v_x(v_y))),tc_set(t_a))|c_lessequals(v_x(v_x(v_y)),v_x(v_x(v_x(v_y))),tc_set(t_a))|~spl0_20),
% 4.86/0.98    inference(resolution,[status(thm)],[f203,f20])).
% 4.86/0.98  fof(f280,plain,(
% 4.86/0.98    spl0_34|~spl0_20),
% 4.86/0.98    inference(split_clause,[status(thm)],[f279,f276,f183])).
% 4.86/0.98  fof(f283,plain,(
% 4.86/0.98    spl0_35 <=> c_lessequals(v_x(v_x(v_x(v_y))),v_x(v_x(v_y)),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f286,plain,(
% 4.86/0.98    spl0_36 <=> v_x(v_x(v_y))=v_x(v_x(v_x(v_y)))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f287,plain,(
% 4.86/0.98    v_x(v_x(v_y))=v_x(v_x(v_x(v_y)))|~spl0_36),
% 4.86/0.98    inference(component_clause,[status(thm)],[f286])).
% 4.86/0.98  fof(f289,plain,(
% 4.86/0.98    ~c_lessequals(v_x(v_x(v_x(v_y))),v_x(v_x(v_y)),tc_set(t_a))|v_x(v_x(v_y))=v_x(v_x(v_x(v_y)))|~spl0_34),
% 4.86/0.98    inference(resolution,[status(thm)],[f277,f17])).
% 4.86/0.98  fof(f290,plain,(
% 4.86/0.98    ~spl0_35|spl0_36|~spl0_34),
% 4.86/0.98    inference(split_clause,[status(thm)],[f289,f283,f286,f276])).
% 4.86/0.98  fof(f291,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),X1,t_a),v_x(v_x(v_x(v_y))),t_a)|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),X1,tc_set(t_a))|~spl0_8)),
% 4.86/0.98    inference(resolution,[status(thm)],[f204,f20])).
% 4.86/0.98  fof(f292,plain,(
% 4.86/0.98    spl0_37 <=> c_lessequals(v_x(v_y),v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f295,plain,(
% 4.86/0.98    c_lessequals(v_x(v_y),v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))|c_lessequals(v_x(v_y),v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))|~spl0_11),
% 4.86/0.98    inference(resolution,[status(thm)],[f134,f20])).
% 4.86/0.98  fof(f296,plain,(
% 4.86/0.98    spl0_37|~spl0_11),
% 4.86/0.98    inference(split_clause,[status(thm)],[f295,f292,f133])).
% 4.86/0.98  fof(f306,plain,(
% 4.86/0.98    spl0_40 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a),v_x(v_y),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f307,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a),v_x(v_y),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~spl0_40)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f306])).
% 4.86/0.98  fof(f316,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|~spl0_19)),
% 4.86/0.98    inference(resolution,[status(thm)],[f181,f44])).
% 4.86/0.98  fof(f317,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~spl0_19)),
% 4.86/0.98    inference(duplicate_literals_removal,[status(esa)],[f316])).
% 4.86/0.98  fof(f318,plain,(
% 4.86/0.98    spl0_41 <=> c_lessequals(v_y,v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f319,plain,(
% 4.86/0.98    c_lessequals(v_y,v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|~spl0_41),
% 4.86/0.98    inference(component_clause,[status(thm)],[f318])).
% 4.86/0.98  fof(f321,plain,(
% 4.86/0.98    c_lessequals(v_y,v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|c_lessequals(v_y,v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|~spl0_19),
% 4.86/0.98    inference(resolution,[status(thm)],[f181,f20])).
% 4.86/0.98  fof(f322,plain,(
% 4.86/0.98    spl0_41|~spl0_19),
% 4.86/0.98    inference(split_clause,[status(thm)],[f321,f318,f180])).
% 4.86/0.98  fof(f323,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_y,t_a)|c_in(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)|~spl0_41)),
% 4.86/0.98    inference(resolution,[status(thm)],[f319,f19])).
% 4.86/0.98  fof(f332,plain,(
% 4.86/0.98    spl0_44 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a),v_y,t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f333,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a),v_y,t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|~spl0_44)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f332])).
% 4.86/0.98  fof(f335,plain,(
% 4.86/0.98    spl0_45 <=> c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f336,plain,(
% 4.86/0.98    c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|~spl0_45),
% 4.86/0.98    inference(component_clause,[status(thm)],[f335])).
% 4.86/0.98  fof(f337,plain,(
% 4.86/0.98    ~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|spl0_45),
% 4.86/0.98    inference(component_clause,[status(thm)],[f335])).
% 4.86/0.98  fof(f338,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a),v_y,t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|~spl0_41)),
% 4.86/0.98    inference(resolution,[status(thm)],[f323,f76])).
% 4.86/0.98  fof(f339,plain,(
% 4.86/0.98    spl0_44|~spl0_45|~spl0_41),
% 4.86/0.98    inference(split_clause,[status(thm)],[f338,f332,f335,f318])).
% 4.86/0.98  fof(f342,plain,(
% 4.86/0.98    ~c_in(v_x(v_x(v_x(v_y))),v_S,tc_set(t_a))|spl0_45),
% 4.86/0.98    inference(resolution,[status(thm)],[f337,f32])).
% 4.86/0.98  fof(f343,plain,(
% 4.86/0.98    ~spl0_31|spl0_45),
% 4.86/0.98    inference(split_clause,[status(thm)],[f342,f253,f335])).
% 4.86/0.98  fof(f344,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_x(v_x(v_x(v_x(v_y)))),t_a)|c_in(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)|~spl0_45)),
% 4.86/0.98    inference(resolution,[status(thm)],[f336,f37])).
% 4.86/0.98  fof(f345,plain,(
% 4.86/0.98    spl0_46 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a),v_x(v_x(v_x(v_x(v_y)))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f348,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a),v_x(v_x(v_x(v_x(v_y)))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|~spl0_45)),
% 4.86/0.98    inference(resolution,[status(thm)],[f344,f76])).
% 4.86/0.98  fof(f349,plain,(
% 4.86/0.98    spl0_46|~spl0_45),
% 4.86/0.98    inference(split_clause,[status(thm)],[f348,f345,f335])).
% 4.86/0.98  fof(f350,plain,(
% 4.86/0.98    spl0_47 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a),v_x(v_x(v_x(v_x(v_y)))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f351,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a),v_x(v_x(v_x(v_x(v_y)))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~spl0_47)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f350])).
% 4.86/0.98  fof(f353,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a),v_x(v_x(v_x(v_x(v_y)))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|~spl0_45)),
% 4.86/0.98    inference(resolution,[status(thm)],[f344,f50])).
% 4.86/0.98  fof(f354,plain,(
% 4.86/0.98    spl0_47|~spl0_45),
% 4.86/0.98    inference(split_clause,[status(thm)],[f353,f350,f335])).
% 4.86/0.98  fof(f355,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),t_a),v_x(v_x(v_x(v_x(v_y)))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|~spl0_45)),
% 4.86/0.98    inference(resolution,[status(thm)],[f344,f21])).
% 4.86/0.98  fof(f356,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~c_in(X1,c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),t_a)|c_in(X1,v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)|~spl0_19)),
% 4.86/0.98    inference(resolution,[status(thm)],[f317,f19])).
% 4.86/0.98  fof(f358,plain,(
% 4.86/0.98    spl0_48 <=> c_lessequals(v_x(v_x(v_y)),v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f361,plain,(
% 4.86/0.98    c_lessequals(v_x(v_x(v_y)),v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))|c_lessequals(v_x(v_x(v_y)),v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))|~spl0_22),
% 4.86/0.98    inference(resolution,[status(thm)],[f199,f20])).
% 4.86/0.98  fof(f362,plain,(
% 4.86/0.98    spl0_48|~spl0_22),
% 4.86/0.98    inference(split_clause,[status(thm)],[f361,f358,f198])).
% 4.86/0.98  fof(f374,plain,(
% 4.86/0.98    spl0_51 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a),v_x(v_x(v_y)),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f375,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a),v_x(v_x(v_y)),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~spl0_51)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f374])).
% 4.86/0.98  fof(f381,plain,(
% 4.86/0.98    spl0_52 <=> c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~c_in(c_Main_OsubsetI__1(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a),c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),t_a)|c_lessequals(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f384,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~c_in(c_Main_OsubsetI__1(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a),c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),t_a)|c_lessequals(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|~spl0_19)),
% 4.86/0.98    inference(resolution,[status(thm)],[f356,f76])).
% 4.86/0.98  fof(f385,plain,(
% 4.86/0.98    spl0_52|~spl0_45|~spl0_19),
% 4.86/0.98    inference(split_clause,[status(thm)],[f384,f381,f335,f180])).
% 4.86/0.98  fof(f386,plain,(
% 4.86/0.98    spl0_53 <=> c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~c_in(c_Main_OsubsetI__1(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a),c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),t_a)|c_lessequals(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f389,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~c_in(c_Main_OsubsetI__1(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a),c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),t_a)|c_lessequals(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|~spl0_19)),
% 4.86/0.98    inference(resolution,[status(thm)],[f356,f50])).
% 4.86/0.98  fof(f390,plain,(
% 4.86/0.98    spl0_53|~spl0_45|~spl0_19),
% 4.86/0.98    inference(split_clause,[status(thm)],[f389,f386,f335,f180])).
% 4.86/0.98  fof(f395,plain,(
% 4.86/0.98    spl0_54 <=> c_lessequals(v_x(v_y),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f396,plain,(
% 4.86/0.98    c_lessequals(v_x(v_y),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|~spl0_54),
% 4.86/0.98    inference(component_clause,[status(thm)],[f395])).
% 4.86/0.98  fof(f398,plain,(
% 4.86/0.98    c_lessequals(v_x(v_y),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|c_lessequals(v_x(v_y),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|~spl0_26),
% 4.86/0.98    inference(resolution,[status(thm)],[f227,f20])).
% 4.86/0.98  fof(f399,plain,(
% 4.86/0.98    spl0_54|~spl0_26),
% 4.86/0.98    inference(split_clause,[status(thm)],[f398,f395,f226])).
% 4.86/0.98  fof(f400,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_x(v_y),t_a)|c_in(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)|~spl0_54)),
% 4.86/0.98    inference(resolution,[status(thm)],[f396,f19])).
% 4.86/0.98  fof(f409,plain,(
% 4.86/0.98    spl0_57 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a),v_x(v_y),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f410,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a),v_x(v_y),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|~spl0_57)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f409])).
% 4.86/0.98  fof(f412,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a),v_x(v_y),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|~spl0_54)),
% 4.86/0.98    inference(resolution,[status(thm)],[f400,f76])).
% 4.86/0.98  fof(f413,plain,(
% 4.86/0.98    spl0_57|~spl0_45|~spl0_54),
% 4.86/0.98    inference(split_clause,[status(thm)],[f412,f409,f335,f395])).
% 4.86/0.98  fof(f416,plain,(
% 4.86/0.98    spl0_58 <=> c_lessequals(v_x(v_x(v_x(v_y))),v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f417,plain,(
% 4.86/0.98    c_lessequals(v_x(v_x(v_x(v_y))),v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))|~spl0_58),
% 4.86/0.98    inference(component_clause,[status(thm)],[f416])).
% 4.86/0.98  fof(f419,plain,(
% 4.86/0.98    c_lessequals(v_x(v_x(v_x(v_y))),v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))|c_lessequals(v_x(v_x(v_x(v_y))),v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))|~spl0_31),
% 4.86/0.98    inference(resolution,[status(thm)],[f273,f20])).
% 4.86/0.98  fof(f420,plain,(
% 4.86/0.98    spl0_58|~spl0_31),
% 4.86/0.98    inference(split_clause,[status(thm)],[f419,f416,f253])).
% 4.86/0.98  fof(f425,plain,(
% 4.86/0.98    spl0_59 <=> c_lessequals(v_x(v_x(v_x(v_x(v_y)))),v_x(v_x(v_x(v_y))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f428,plain,(
% 4.86/0.98    spl0_60 <=> v_x(v_x(v_x(v_y)))=v_x(v_x(v_x(v_x(v_y))))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f429,plain,(
% 4.86/0.98    v_x(v_x(v_x(v_y)))=v_x(v_x(v_x(v_x(v_y))))|~spl0_60),
% 4.86/0.98    inference(component_clause,[status(thm)],[f428])).
% 4.86/0.98  fof(f431,plain,(
% 4.86/0.98    ~c_lessequals(v_x(v_x(v_x(v_x(v_y)))),v_x(v_x(v_x(v_y))),tc_set(t_a))|v_x(v_x(v_x(v_y)))=v_x(v_x(v_x(v_x(v_y))))|~spl0_58),
% 4.86/0.98    inference(resolution,[status(thm)],[f417,f17])).
% 4.86/0.98  fof(f432,plain,(
% 4.86/0.98    ~spl0_59|spl0_60|~spl0_58),
% 4.86/0.98    inference(split_clause,[status(thm)],[f431,f425,f428,f416])).
% 4.86/0.98  fof(f433,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(v_x(X0),v_x(v_x(v_x(v_x(X0)))),tc_set(t_a))|~c_in(X0,v_S,tc_set(t_a))|c_lessequals(v_x(X0),v_x(v_x(v_x(v_x(X0)))),tc_set(t_a)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f130,f20])).
% 4.86/0.98  fof(f434,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(v_x(X0),v_x(v_x(v_x(v_x(X0)))),tc_set(t_a))|~c_in(X0,v_S,tc_set(t_a)))),
% 4.86/0.98    inference(duplicate_literals_removal,[status(esa)],[f433])).
% 4.86/0.98  fof(f438,plain,(
% 4.86/0.98    spl0_61 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),t_a),v_x(v_y),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f441,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),t_a),v_x(v_y),t_a)|~spl0_54)),
% 4.86/0.98    inference(resolution,[status(thm)],[f130,f400])).
% 4.86/0.98  fof(f442,plain,(
% 4.86/0.98    spl0_61|~spl0_45|~spl0_54),
% 4.86/0.98    inference(split_clause,[status(thm)],[f441,f438,f335,f395])).
% 4.86/0.98  fof(f443,plain,(
% 4.86/0.98    spl0_62 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|c_lessequals(v_c,X1,tc_set(tc_set(t_a)))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),t_a),c_Main_OsubsetI__1(v_c,X1,tc_set(t_a)),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f446,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|c_lessequals(v_c,X1,tc_set(tc_set(t_a)))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),t_a),c_Main_OsubsetI__1(v_c,X1,tc_set(t_a)),t_a)|~spl0_19)),
% 4.86/0.98    inference(resolution,[status(thm)],[f130,f356])).
% 4.86/0.98  fof(f447,plain,(
% 4.86/0.98    spl0_62|~spl0_45|~spl0_19),
% 4.86/0.98    inference(split_clause,[status(thm)],[f446,f443,f335,f180])).
% 4.86/0.98  fof(f448,plain,(
% 4.86/0.98    spl0_63 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),t_a),v_x(v_x(v_x(v_x(v_y)))),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f451,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),t_a),v_x(v_x(v_x(v_x(v_y)))),t_a)|~spl0_45)),
% 4.86/0.98    inference(resolution,[status(thm)],[f130,f344])).
% 4.86/0.98  fof(f452,plain,(
% 4.86/0.98    spl0_63|~spl0_45),
% 4.86/0.98    inference(split_clause,[status(thm)],[f451,f448,f335])).
% 4.86/0.98  fof(f453,plain,(
% 4.86/0.98    spl0_64 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),t_a),v_y,t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f454,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),t_a),v_y,t_a)|~spl0_64)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f453])).
% 4.86/0.98  fof(f456,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),t_a),v_y,t_a)|~spl0_41)),
% 4.86/0.98    inference(resolution,[status(thm)],[f130,f323])).
% 4.86/0.98  fof(f457,plain,(
% 4.86/0.98    spl0_64|~spl0_45|~spl0_41),
% 4.86/0.98    inference(split_clause,[status(thm)],[f456,f453,f335,f318])).
% 4.86/0.98  fof(f458,plain,(
% 4.86/0.98    spl0_65 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a),v_x(v_x(v_y)),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f459,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a),v_x(v_x(v_y)),t_a)|~spl0_65)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f458])).
% 4.86/0.98  fof(f465,plain,(
% 4.86/0.98    spl0_66 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a),v_x(v_x(v_x(v_y))),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f483,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(X1))))),tc_set(t_a))|~c_in(v_x(X1),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(X1))))),t_a),v_x(X1),t_a)|~c_in(X1,v_S,tc_set(t_a)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f130,f38])).
% 4.86/0.98  fof(f484,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(X1))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(X1))))),t_a),v_x(X1),t_a)|~c_in(X1,v_S,tc_set(t_a)))),
% 4.86/0.98    inference(forward_subsumption_resolution,[status(thm)],[f483,f32])).
% 4.86/0.98  fof(f489,plain,(
% 4.86/0.98    spl0_67 <=> c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f495,plain,(
% 4.86/0.98    spl0_68 <=> c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_y))),tc_set(t_a))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_y))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f501,plain,(
% 4.86/0.98    spl0_69 <=> c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_y)),tc_set(t_a))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_y)),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f504,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_y)),tc_set(t_a))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_y)),tc_set(t_a))|~c_in(v_y,v_S,tc_set(t_a)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f70,f50])).
% 4.86/0.98  fof(f505,plain,(
% 4.86/0.98    spl0_69|~spl0_4),
% 4.86/0.98    inference(split_clause,[status(thm)],[f504,f501,f80])).
% 4.86/0.98  fof(f508,plain,(
% 4.86/0.98    ![X0,X1]: (~c_in(X0,v_S,tc_set(t_a))|~c_in(X1,v_x(X0),t_a)|c_in(X1,v_x(v_x(v_x(v_x(X0)))),t_a))),
% 4.86/0.98    inference(resolution,[status(thm)],[f434,f19])).
% 4.86/0.98  fof(f512,plain,(
% 4.86/0.98    spl0_70 <=> c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f522,plain,(
% 4.86/0.98    spl0_71 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),t_a),v_x(v_y),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f525,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),t_a),v_x(v_y),t_a)|~spl0_54)),
% 4.86/0.98    inference(resolution,[status(thm)],[f484,f400])).
% 4.86/0.98  fof(f526,plain,(
% 4.86/0.98    spl0_71|~spl0_45|~spl0_54),
% 4.86/0.98    inference(split_clause,[status(thm)],[f525,f522,f335,f395])).
% 4.86/0.98  fof(f527,plain,(
% 4.86/0.98    spl0_72 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),tc_set(t_a))|c_lessequals(v_c,X1,tc_set(tc_set(t_a)))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),t_a),c_Main_OsubsetI__1(v_c,X1,tc_set(t_a)),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f530,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|c_lessequals(v_c,X1,tc_set(tc_set(t_a)))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),t_a),c_Main_OsubsetI__1(v_c,X1,tc_set(t_a)),t_a)|~spl0_19)),
% 4.86/0.98    inference(resolution,[status(thm)],[f484,f356])).
% 4.86/0.98  fof(f531,plain,(
% 4.86/0.98    spl0_72|~spl0_45|~spl0_19),
% 4.86/0.98    inference(split_clause,[status(thm)],[f530,f527,f335,f180])).
% 4.86/0.98  fof(f532,plain,(
% 4.86/0.98    spl0_73 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),t_a),v_x(v_x(v_x(v_x(v_y)))),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f535,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),t_a),v_x(v_x(v_x(v_x(v_y)))),t_a)|~spl0_45)),
% 4.86/0.98    inference(resolution,[status(thm)],[f484,f344])).
% 4.86/0.98  fof(f536,plain,(
% 4.86/0.98    spl0_73|~spl0_45),
% 4.86/0.98    inference(split_clause,[status(thm)],[f535,f532,f335])).
% 4.86/0.98  fof(f537,plain,(
% 4.86/0.98    spl0_74 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),t_a),v_y,t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f540,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),t_a),v_y,t_a)|~spl0_41)),
% 4.86/0.98    inference(resolution,[status(thm)],[f484,f323])).
% 4.86/0.98  fof(f541,plain,(
% 4.86/0.98    spl0_74|~spl0_45|~spl0_41),
% 4.86/0.98    inference(split_clause,[status(thm)],[f540,f537,f335,f318])).
% 4.86/0.98  fof(f542,plain,(
% 4.86/0.98    spl0_75 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),t_a),v_x(v_x(v_y)),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f549,plain,(
% 4.86/0.98    spl0_76 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),t_a),v_x(v_x(v_x(v_y))),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f567,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(X1)))))),tc_set(t_a))|~c_in(v_x(X1),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(X1)))))),t_a),v_x(X1),t_a)|~c_in(X1,v_S,tc_set(t_a)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f484,f38])).
% 4.86/0.98  fof(f568,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(X1)))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(X1)))))),t_a),v_x(X1),t_a)|~c_in(X1,v_S,tc_set(t_a)))),
% 4.86/0.98    inference(forward_subsumption_resolution,[status(thm)],[f567,f32])).
% 4.86/0.98  fof(f573,plain,(
% 4.86/0.98    ![X0,X1]: (~c_in(X0,v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(X0)))))))),t_a),v_x(X0),t_a)|c_lessequals(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(X0)))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(X0))),v_S,tc_set(t_a)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f508,f484])).
% 4.86/0.98  fof(f590,plain,(
% 4.86/0.98    spl0_77 <=> c_lessequals(v_x(v_x(v_y)),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f591,plain,(
% 4.86/0.98    c_lessequals(v_x(v_x(v_y)),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|~spl0_77),
% 4.86/0.98    inference(component_clause,[status(thm)],[f590])).
% 4.86/0.98  fof(f593,plain,(
% 4.86/0.98    c_lessequals(v_x(v_x(v_y)),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|c_lessequals(v_x(v_x(v_y)),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|~spl0_21),
% 4.86/0.98    inference(resolution,[status(thm)],[f194,f20])).
% 4.86/0.98  fof(f594,plain,(
% 4.86/0.98    spl0_77|~spl0_21),
% 4.86/0.98    inference(split_clause,[status(thm)],[f593,f590,f193])).
% 4.86/0.98  fof(f595,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),t_a),v_x(v_y),t_a)|~c_in(v_y,v_S,tc_set(t_a))|~spl0_21)),
% 4.86/0.98    inference(resolution,[status(thm)],[f194,f38])).
% 4.86/0.98  fof(f596,plain,(
% 4.86/0.98    spl0_26|~spl0_4|~spl0_21),
% 4.86/0.98    inference(split_clause,[status(thm)],[f595,f226,f80,f193])).
% 4.86/0.98  fof(f597,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_x(v_x(v_y)),t_a)|c_in(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)|~spl0_77)),
% 4.86/0.98    inference(resolution,[status(thm)],[f591,f19])).
% 4.86/0.98  fof(f606,plain,(
% 4.86/0.98    spl0_80 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),t_a),v_x(v_x(v_y)),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f609,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),t_a),v_x(v_x(v_y)),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|~spl0_77)),
% 4.86/0.98    inference(resolution,[status(thm)],[f597,f484])).
% 4.86/0.98  fof(f610,plain,(
% 4.86/0.98    spl0_80|~spl0_45|~spl0_77),
% 4.86/0.98    inference(split_clause,[status(thm)],[f609,f606,f335,f590])).
% 4.86/0.98  fof(f611,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),t_a),v_x(v_x(v_y)),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|~spl0_77)),
% 4.86/0.98    inference(resolution,[status(thm)],[f597,f130])).
% 4.86/0.98  fof(f612,plain,(
% 4.86/0.98    spl0_75|~spl0_45|~spl0_77),
% 4.86/0.98    inference(split_clause,[status(thm)],[f611,f542,f335,f590])).
% 4.86/0.98  fof(f613,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a),v_x(v_x(v_y)),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|~spl0_77)),
% 4.86/0.98    inference(resolution,[status(thm)],[f597,f76])).
% 4.86/0.98  fof(f614,plain,(
% 4.86/0.98    spl0_65|~spl0_45|~spl0_77),
% 4.86/0.98    inference(split_clause,[status(thm)],[f613,f458,f335,f590])).
% 4.86/0.98  fof(f617,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~spl0_30)),
% 4.86/0.98    inference(resolution,[status(thm)],[f251,f44])).
% 4.86/0.98  fof(f618,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~spl0_30)),
% 4.86/0.98    inference(duplicate_literals_removal,[status(esa)],[f617])).
% 4.86/0.98  fof(f619,plain,(
% 4.86/0.98    spl0_81 <=> c_lessequals(v_y,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f620,plain,(
% 4.86/0.98    c_lessequals(v_y,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~spl0_81),
% 4.86/0.98    inference(component_clause,[status(thm)],[f619])).
% 4.86/0.98  fof(f622,plain,(
% 4.86/0.98    c_lessequals(v_y,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|c_lessequals(v_y,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~spl0_30),
% 4.86/0.98    inference(resolution,[status(thm)],[f251,f20])).
% 4.86/0.98  fof(f623,plain,(
% 4.86/0.98    spl0_81|~spl0_30),
% 4.86/0.98    inference(split_clause,[status(thm)],[f622,f619,f250])).
% 4.86/0.98  fof(f624,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_y,t_a)|c_in(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)|~spl0_81)),
% 4.86/0.98    inference(resolution,[status(thm)],[f620,f19])).
% 4.86/0.98  fof(f633,plain,(
% 4.86/0.98    spl0_84 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),t_a),v_y,t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f636,plain,(
% 4.86/0.98    spl0_85 <=> c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f637,plain,(
% 4.86/0.98    c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|~spl0_85),
% 4.86/0.98    inference(component_clause,[status(thm)],[f636])).
% 4.86/0.98  fof(f638,plain,(
% 4.86/0.98    ~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|spl0_85),
% 4.86/0.98    inference(component_clause,[status(thm)],[f636])).
% 4.86/0.98  fof(f639,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),t_a),v_y,t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|~spl0_81)),
% 4.86/0.98    inference(resolution,[status(thm)],[f624,f484])).
% 4.86/0.98  fof(f640,plain,(
% 4.86/0.98    spl0_84|~spl0_85|~spl0_81),
% 4.86/0.98    inference(split_clause,[status(thm)],[f639,f633,f636,f619])).
% 4.86/0.98  fof(f647,plain,(
% 4.86/0.98    ~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|spl0_85),
% 4.86/0.98    inference(resolution,[status(thm)],[f638,f32])).
% 4.86/0.98  fof(f648,plain,(
% 4.86/0.98    ~spl0_45|spl0_85),
% 4.86/0.98    inference(split_clause,[status(thm)],[f647,f335,f636])).
% 4.86/0.98  fof(f649,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)|c_in(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)|~spl0_85)),
% 4.86/0.98    inference(resolution,[status(thm)],[f637,f37])).
% 4.86/0.98  fof(f650,plain,(
% 4.86/0.98    spl0_86 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f653,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|~spl0_85)),
% 4.86/0.98    inference(resolution,[status(thm)],[f649,f484])).
% 4.86/0.98  fof(f654,plain,(
% 4.86/0.98    spl0_86|~spl0_85),
% 4.86/0.98    inference(split_clause,[status(thm)],[f653,f650,f636])).
% 4.86/0.98  fof(f655,plain,(
% 4.86/0.98    spl0_87 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f658,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|~spl0_85)),
% 4.86/0.98    inference(resolution,[status(thm)],[f649,f130])).
% 4.86/0.98  fof(f659,plain,(
% 4.86/0.98    spl0_87|~spl0_85),
% 4.86/0.98    inference(split_clause,[status(thm)],[f658,f655,f636])).
% 4.86/0.98  fof(f660,plain,(
% 4.86/0.98    spl0_88 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f663,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|~spl0_85)),
% 4.86/0.98    inference(resolution,[status(thm)],[f649,f76])).
% 4.86/0.98  fof(f664,plain,(
% 4.86/0.98    spl0_88|~spl0_85),
% 4.86/0.98    inference(split_clause,[status(thm)],[f663,f660,f636])).
% 4.86/0.98  fof(f665,plain,(
% 4.86/0.98    spl0_89 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f668,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|~spl0_85)),
% 4.86/0.98    inference(resolution,[status(thm)],[f649,f50])).
% 4.86/0.98  fof(f669,plain,(
% 4.86/0.98    spl0_89|~spl0_85),
% 4.86/0.98    inference(split_clause,[status(thm)],[f668,f665,f636])).
% 4.86/0.98  fof(f671,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~c_in(X1,c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),t_a)|c_in(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)|~spl0_30)),
% 4.86/0.98    inference(resolution,[status(thm)],[f618,f19])).
% 4.86/0.98  fof(f673,plain,(
% 4.86/0.98    spl0_90 <=> c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~c_in(c_Main_OsubsetI__1(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),t_a),c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),t_a)|c_lessequals(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f676,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~c_in(c_Main_OsubsetI__1(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),t_a),c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),t_a)|c_lessequals(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|~spl0_30)),
% 4.86/0.98    inference(resolution,[status(thm)],[f671,f484])).
% 4.86/0.98  fof(f677,plain,(
% 4.86/0.98    spl0_90|~spl0_85|~spl0_30),
% 4.86/0.98    inference(split_clause,[status(thm)],[f676,f673,f636,f250])).
% 4.86/0.98  fof(f690,plain,(
% 4.86/0.98    spl0_91 <=> c_lessequals(v_x(v_x(v_x(v_y))),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f691,plain,(
% 4.86/0.98    c_lessequals(v_x(v_x(v_x(v_y))),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|~spl0_91),
% 4.86/0.98    inference(component_clause,[status(thm)],[f690])).
% 4.86/0.98  fof(f693,plain,(
% 4.86/0.98    c_lessequals(v_x(v_x(v_x(v_y))),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|c_lessequals(v_x(v_x(v_x(v_y))),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|~spl0_33),
% 4.86/0.98    inference(resolution,[status(thm)],[f269,f20])).
% 4.86/0.98  fof(f694,plain,(
% 4.86/0.98    spl0_91|~spl0_33),
% 4.86/0.98    inference(split_clause,[status(thm)],[f693,f690,f268])).
% 4.86/0.98  fof(f699,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_x(v_x(v_x(v_y))),t_a)|c_in(X0,v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)|~spl0_91)),
% 4.86/0.98    inference(resolution,[status(thm)],[f691,f19])).
% 4.86/0.98  fof(f708,plain,(
% 4.86/0.98    spl0_94 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),t_a),v_x(v_x(v_x(v_y))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f720,plain,(
% 4.86/0.98    spl0_95 <=> c_lessequals(v_x(v_y),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f721,plain,(
% 4.86/0.98    c_lessequals(v_x(v_y),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~spl0_95),
% 4.86/0.98    inference(component_clause,[status(thm)],[f720])).
% 4.86/0.98  fof(f723,plain,(
% 4.86/0.98    c_lessequals(v_x(v_y),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|c_lessequals(v_x(v_y),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~spl0_40),
% 4.86/0.98    inference(resolution,[status(thm)],[f307,f20])).
% 4.86/0.98  fof(f724,plain,(
% 4.86/0.98    spl0_95|~spl0_40),
% 4.86/0.98    inference(split_clause,[status(thm)],[f723,f720,f306])).
% 4.86/0.98  fof(f725,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_x(v_y),t_a)|c_in(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)|~spl0_95)),
% 4.86/0.98    inference(resolution,[status(thm)],[f721,f19])).
% 4.86/0.98  fof(f734,plain,(
% 4.86/0.98    spl0_98 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),t_a),v_x(v_y),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f737,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),t_a),v_x(v_y),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|~spl0_95)),
% 4.86/0.98    inference(resolution,[status(thm)],[f725,f484])).
% 4.86/0.98  fof(f738,plain,(
% 4.86/0.98    spl0_98|~spl0_85|~spl0_95),
% 4.86/0.98    inference(split_clause,[status(thm)],[f737,f734,f636,f720])).
% 4.86/0.98  fof(f745,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|~spl0_44)),
% 4.86/0.98    inference(resolution,[status(thm)],[f333,f44])).
% 4.86/0.98  fof(f746,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~spl0_44)),
% 4.86/0.98    inference(duplicate_literals_removal,[status(esa)],[f745])).
% 4.86/0.98  fof(f747,plain,(
% 4.86/0.98    spl0_99 <=> c_lessequals(v_y,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f748,plain,(
% 4.86/0.98    c_lessequals(v_y,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|~spl0_99),
% 4.86/0.98    inference(component_clause,[status(thm)],[f747])).
% 4.86/0.98  fof(f750,plain,(
% 4.86/0.98    c_lessequals(v_y,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|c_lessequals(v_y,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|~spl0_44),
% 4.86/0.98    inference(resolution,[status(thm)],[f333,f20])).
% 4.86/0.98  fof(f751,plain,(
% 4.86/0.98    spl0_99|~spl0_44),
% 4.86/0.98    inference(split_clause,[status(thm)],[f750,f747,f332])).
% 4.86/0.98  fof(f752,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_y,t_a)|c_in(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a)|~spl0_99)),
% 4.86/0.98    inference(resolution,[status(thm)],[f748,f19])).
% 4.86/0.98  fof(f761,plain,(
% 4.86/0.98    spl0_102 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),t_a),v_y,t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f764,plain,(
% 4.86/0.98    spl0_103 <=> c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f765,plain,(
% 4.86/0.98    c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|~spl0_103),
% 4.86/0.98    inference(component_clause,[status(thm)],[f764])).
% 4.86/0.98  fof(f766,plain,(
% 4.86/0.98    ~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|spl0_103),
% 4.86/0.98    inference(component_clause,[status(thm)],[f764])).
% 4.86/0.98  fof(f767,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),t_a),v_y,t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|~spl0_99)),
% 4.86/0.98    inference(resolution,[status(thm)],[f752,f484])).
% 4.86/0.98  fof(f768,plain,(
% 4.86/0.98    spl0_102|~spl0_103|~spl0_99),
% 4.86/0.98    inference(split_clause,[status(thm)],[f767,f761,f764,f747])).
% 4.86/0.98  fof(f775,plain,(
% 4.86/0.98    ~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|spl0_103),
% 4.86/0.98    inference(resolution,[status(thm)],[f766,f32])).
% 4.86/0.98  fof(f776,plain,(
% 4.86/0.98    ~spl0_85|spl0_103),
% 4.86/0.98    inference(split_clause,[status(thm)],[f775,f636,f764])).
% 4.86/0.98  fof(f777,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)|c_in(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a)|~spl0_103)),
% 4.86/0.98    inference(resolution,[status(thm)],[f765,f37])).
% 4.86/0.98  fof(f778,plain,(
% 4.86/0.98    spl0_104 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f781,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|~spl0_103)),
% 4.86/0.98    inference(resolution,[status(thm)],[f777,f484])).
% 4.86/0.98  fof(f782,plain,(
% 4.86/0.98    spl0_104|~spl0_103),
% 4.86/0.98    inference(split_clause,[status(thm)],[f781,f778,f764])).
% 4.86/0.98  fof(f783,plain,(
% 4.86/0.98    spl0_105 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f786,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|~spl0_103)),
% 4.86/0.98    inference(resolution,[status(thm)],[f777,f130])).
% 4.86/0.98  fof(f787,plain,(
% 4.86/0.98    spl0_105|~spl0_103),
% 4.86/0.98    inference(split_clause,[status(thm)],[f786,f783,f764])).
% 4.86/0.98  fof(f788,plain,(
% 4.86/0.98    spl0_106 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f791,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|~spl0_103)),
% 4.86/0.98    inference(resolution,[status(thm)],[f777,f76])).
% 4.86/0.98  fof(f792,plain,(
% 4.86/0.98    spl0_106|~spl0_103),
% 4.86/0.98    inference(split_clause,[status(thm)],[f791,f788,f764])).
% 4.86/0.98  fof(f793,plain,(
% 4.86/0.98    spl0_107 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f796,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|~spl0_103)),
% 4.86/0.98    inference(resolution,[status(thm)],[f777,f50])).
% 4.86/0.98  fof(f797,plain,(
% 4.86/0.98    spl0_107|~spl0_103),
% 4.86/0.98    inference(split_clause,[status(thm)],[f796,f793,f764])).
% 4.86/0.98  fof(f799,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~c_in(X1,c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),t_a)|c_in(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a)|~spl0_44)),
% 4.86/0.98    inference(resolution,[status(thm)],[f746,f19])).
% 4.86/0.98  fof(f801,plain,(
% 4.86/0.98    spl0_108 <=> c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~c_in(c_Main_OsubsetI__1(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),t_a),c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),t_a)|c_lessequals(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f804,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~c_in(c_Main_OsubsetI__1(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),t_a),c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),t_a)|c_lessequals(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|~spl0_44)),
% 4.86/0.98    inference(resolution,[status(thm)],[f799,f484])).
% 4.86/0.98  fof(f805,plain,(
% 4.86/0.98    spl0_108|~spl0_103|~spl0_44),
% 4.86/0.98    inference(split_clause,[status(thm)],[f804,f801,f764,f332])).
% 4.86/0.98  fof(f813,plain,(
% 4.86/0.98    spl0_109 <=> c_lessequals(v_x(v_x(v_x(v_x(v_y)))),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f814,plain,(
% 4.86/0.98    c_lessequals(v_x(v_x(v_x(v_x(v_y)))),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|~spl0_109),
% 4.86/0.98    inference(component_clause,[status(thm)],[f813])).
% 4.86/0.98  fof(f816,plain,(
% 4.86/0.98    c_lessequals(v_x(v_x(v_x(v_x(v_y)))),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|c_lessequals(v_x(v_x(v_x(v_x(v_y)))),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|~spl0_45),
% 4.86/0.98    inference(resolution,[status(thm)],[f355,f20])).
% 4.86/0.98  fof(f817,plain,(
% 4.86/0.98    spl0_109|~spl0_45),
% 4.86/0.98    inference(split_clause,[status(thm)],[f816,f813,f335])).
% 4.86/0.98  fof(f824,plain,(
% 4.86/0.98    spl0_110 <=> c_lessequals(v_x(v_x(v_x(v_x(v_x(v_y))))),v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f827,plain,(
% 4.86/0.98    spl0_111 <=> v_x(v_x(v_x(v_x(v_y))))=v_x(v_x(v_x(v_x(v_x(v_y)))))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f828,plain,(
% 4.86/0.98    v_x(v_x(v_x(v_x(v_y))))=v_x(v_x(v_x(v_x(v_x(v_y)))))|~spl0_111),
% 4.86/0.98    inference(component_clause,[status(thm)],[f827])).
% 4.86/0.98  fof(f830,plain,(
% 4.86/0.98    ~c_lessequals(v_x(v_x(v_x(v_x(v_x(v_y))))),v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))|v_x(v_x(v_x(v_x(v_y))))=v_x(v_x(v_x(v_x(v_x(v_y)))))|~spl0_109),
% 4.86/0.98    inference(resolution,[status(thm)],[f814,f17])).
% 4.86/0.98  fof(f831,plain,(
% 4.86/0.98    ~spl0_110|spl0_111|~spl0_109),
% 4.86/0.98    inference(split_clause,[status(thm)],[f830,f824,f827,f813])).
% 4.86/0.98  fof(f832,plain,(
% 4.86/0.98    spl0_112 <=> c_lessequals(v_x(v_x(v_y)),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f833,plain,(
% 4.86/0.98    c_lessequals(v_x(v_x(v_y)),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~spl0_112),
% 4.86/0.98    inference(component_clause,[status(thm)],[f832])).
% 4.86/0.98  fof(f835,plain,(
% 4.86/0.98    c_lessequals(v_x(v_x(v_y)),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|c_lessequals(v_x(v_x(v_y)),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~spl0_51),
% 4.86/0.98    inference(resolution,[status(thm)],[f375,f20])).
% 4.86/0.98  fof(f836,plain,(
% 4.86/0.98    spl0_112|~spl0_51),
% 4.86/0.98    inference(split_clause,[status(thm)],[f835,f832,f374])).
% 4.86/0.98  fof(f839,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_x(v_x(v_y)),t_a)|c_in(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)|~spl0_112)),
% 4.86/0.98    inference(resolution,[status(thm)],[f833,f19])).
% 4.86/0.98  fof(f848,plain,(
% 4.86/0.98    spl0_115 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),t_a),v_x(v_x(v_y)),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f861,plain,(
% 4.86/0.98    spl0_116 <=> c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f872,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_y))),tc_set(t_a))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_y))),tc_set(t_a))|~c_in(v_x(v_y),v_S,tc_set(t_a))|~spl0_3)),
% 4.86/0.98    inference(resolution,[status(thm)],[f233,f50])).
% 4.86/0.98  fof(f873,plain,(
% 4.86/0.98    spl0_68|~spl0_9|~spl0_3),
% 4.86/0.98    inference(split_clause,[status(thm)],[f872,f495,f108,f77])).
% 4.86/0.98  fof(f876,plain,(
% 4.86/0.98    spl0_117 <=> c_lessequals(v_x(v_x(v_x(v_y))),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f877,plain,(
% 4.86/0.98    c_lessequals(v_x(v_x(v_x(v_y))),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~spl0_117),
% 4.86/0.98    inference(component_clause,[status(thm)],[f876])).
% 4.86/0.98  fof(f879,plain,(
% 4.86/0.98    c_lessequals(v_x(v_x(v_x(v_y))),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|c_lessequals(v_x(v_x(v_x(v_y))),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~spl0_32),
% 4.86/0.98    inference(resolution,[status(thm)],[f264,f20])).
% 4.86/0.98  fof(f880,plain,(
% 4.86/0.98    spl0_117|~spl0_32),
% 4.86/0.98    inference(split_clause,[status(thm)],[f879,f876,f263])).
% 4.86/0.98  fof(f881,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~c_in(v_y,v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a),v_x(v_y),t_a)|~spl0_32)),
% 4.86/0.98    inference(resolution,[status(thm)],[f264,f144])).
% 4.86/0.98  fof(f882,plain,(
% 4.86/0.98    spl0_40|~spl0_4|~spl0_32),
% 4.86/0.98    inference(split_clause,[status(thm)],[f881,f306,f80,f263])).
% 4.86/0.98  fof(f883,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a),v_x(v_x(v_y)),t_a)|~c_in(v_x(v_y),v_S,tc_set(t_a))|~spl0_32)),
% 4.86/0.98    inference(resolution,[status(thm)],[f264,f38])).
% 4.86/0.98  fof(f884,plain,(
% 4.86/0.98    spl0_51|~spl0_9|~spl0_32),
% 4.86/0.98    inference(split_clause,[status(thm)],[f883,f374,f108,f263])).
% 4.86/0.98  fof(f885,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_x(v_x(v_x(v_y))),t_a)|c_in(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)|~spl0_117)),
% 4.86/0.98    inference(resolution,[status(thm)],[f877,f19])).
% 4.86/0.98  fof(f894,plain,(
% 4.86/0.98    spl0_120 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),t_a),v_x(v_x(v_x(v_y))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f897,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),t_a),v_x(v_x(v_x(v_y))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|~spl0_117)),
% 4.86/0.98    inference(resolution,[status(thm)],[f885,f484])).
% 4.86/0.98  fof(f898,plain,(
% 4.86/0.98    spl0_120|~spl0_85|~spl0_117),
% 4.86/0.98    inference(split_clause,[status(thm)],[f897,f894,f636,f876])).
% 4.86/0.98  fof(f899,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),t_a),v_x(v_x(v_x(v_y))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|~spl0_117)),
% 4.86/0.98    inference(resolution,[status(thm)],[f885,f130])).
% 4.86/0.98  fof(f900,plain,(
% 4.86/0.98    spl0_94|~spl0_85|~spl0_117),
% 4.86/0.98    inference(split_clause,[status(thm)],[f899,f708,f636,f876])).
% 4.86/0.98  fof(f901,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),t_a),v_x(v_x(v_x(v_y))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|~spl0_117)),
% 4.86/0.98    inference(resolution,[status(thm)],[f885,f76])).
% 4.86/0.98  fof(f902,plain,(
% 4.86/0.98    spl0_76|~spl0_85|~spl0_117),
% 4.86/0.98    inference(split_clause,[status(thm)],[f901,f549,f636,f876])).
% 4.86/0.98  fof(f903,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a),v_x(v_x(v_x(v_y))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|~spl0_117)),
% 4.86/0.98    inference(resolution,[status(thm)],[f885,f50])).
% 4.86/0.98  fof(f904,plain,(
% 4.86/0.98    spl0_66|~spl0_85|~spl0_117),
% 4.86/0.98    inference(split_clause,[status(thm)],[f903,f465,f636,f876])).
% 4.86/0.98  fof(f906,plain,(
% 4.86/0.98    spl0_121 <=> c_lessequals(v_x(v_y),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f907,plain,(
% 4.86/0.98    c_lessequals(v_x(v_y),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|~spl0_121),
% 4.86/0.98    inference(component_clause,[status(thm)],[f906])).
% 4.86/0.98  fof(f909,plain,(
% 4.86/0.98    c_lessequals(v_x(v_y),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|c_lessequals(v_x(v_y),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|~spl0_57),
% 4.86/0.98    inference(resolution,[status(thm)],[f410,f20])).
% 4.86/0.98  fof(f910,plain,(
% 4.86/0.98    spl0_121|~spl0_57),
% 4.86/0.98    inference(split_clause,[status(thm)],[f909,f906,f409])).
% 4.86/0.98  fof(f911,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_x(v_y),t_a)|c_in(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a)|~spl0_121)),
% 4.86/0.98    inference(resolution,[status(thm)],[f907,f19])).
% 4.86/0.98  fof(f920,plain,(
% 4.86/0.98    spl0_124 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),t_a),v_x(v_y),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f923,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),t_a),v_x(v_y),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|~spl0_121)),
% 4.86/0.98    inference(resolution,[status(thm)],[f911,f484])).
% 4.86/0.98  fof(f924,plain,(
% 4.86/0.98    spl0_124|~spl0_103|~spl0_121),
% 4.86/0.98    inference(split_clause,[status(thm)],[f923,f920,f764,f906])).
% 4.86/0.98  fof(f933,plain,(
% 4.86/0.98    spl0_125 <=> c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f936,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|~c_in(v_x(v_x(v_y)),v_S,tc_set(t_a))|~spl0_8)),
% 4.86/0.98    inference(resolution,[status(thm)],[f291,f484])).
% 4.86/0.98  fof(f937,plain,(
% 4.86/0.98    spl0_125|~spl0_20|~spl0_8),
% 4.86/0.98    inference(split_clause,[status(thm)],[f936,f933,f183,f105])).
% 4.86/0.98  fof(f939,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~c_in(v_x(v_x(v_y)),v_S,tc_set(t_a))|~spl0_8)),
% 4.86/0.98    inference(resolution,[status(thm)],[f291,f130])).
% 4.86/0.98  fof(f940,plain,(
% 4.86/0.98    spl0_116|~spl0_20|~spl0_8),
% 4.86/0.98    inference(split_clause,[status(thm)],[f939,f861,f183,f105])).
% 4.86/0.98  fof(f941,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_y))))),tc_set(t_a))|~c_in(v_x(v_x(v_y)),v_S,tc_set(t_a))|~spl0_8)),
% 4.86/0.98    inference(resolution,[status(thm)],[f291,f76])).
% 4.86/0.98  fof(f942,plain,(
% 4.86/0.98    spl0_70|~spl0_20|~spl0_8),
% 4.86/0.98    inference(split_clause,[status(thm)],[f941,f512,f183,f105])).
% 4.86/0.98  fof(f943,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_y)))),tc_set(t_a))|~c_in(v_x(v_x(v_y)),v_S,tc_set(t_a))|~spl0_8)),
% 4.86/0.98    inference(resolution,[status(thm)],[f291,f50])).
% 4.86/0.98  fof(f944,plain,(
% 4.86/0.98    spl0_67|~spl0_20|~spl0_8),
% 4.86/0.98    inference(split_clause,[status(thm)],[f943,f489,f183,f105])).
% 4.86/0.98  fof(f947,plain,(
% 4.86/0.98    spl0_126 <=> c_lessequals(v_x(v_x(v_x(v_x(v_y)))),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f948,plain,(
% 4.86/0.98    c_lessequals(v_x(v_x(v_x(v_x(v_y)))),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~spl0_126),
% 4.86/0.98    inference(component_clause,[status(thm)],[f947])).
% 4.86/0.98  fof(f950,plain,(
% 4.86/0.98    c_lessequals(v_x(v_x(v_x(v_x(v_y)))),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|c_lessequals(v_x(v_x(v_x(v_x(v_y)))),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~spl0_47),
% 4.86/0.98    inference(resolution,[status(thm)],[f351,f20])).
% 4.86/0.98  fof(f951,plain,(
% 4.86/0.98    spl0_126|~spl0_47),
% 4.86/0.98    inference(split_clause,[status(thm)],[f950,f947,f350])).
% 4.86/0.98  fof(f958,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_x(v_x(v_x(v_x(v_y)))),t_a)|c_in(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)|~spl0_126)),
% 4.86/0.98    inference(resolution,[status(thm)],[f948,f19])).
% 4.86/0.98  fof(f967,plain,(
% 4.86/0.98    ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,X1,X2)|~c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))|c_in(X0,X5,X2)|c_in(c_Zorn_Omaxchain__super__lemma__1(X3,X5,X2),X3,tc_set(X2))|~c_in(X1,X4,tc_set(X2))|~c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))|~c_lessequals(c_Zorn_Ochain__extend__1(X3,X1,X2),X1,tc_set(X2)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f25,f23])).
% 4.86/0.98  fof(f968,plain,(
% 4.86/0.98    ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,X1,X2)|~c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))|c_in(X0,X5,X2)|c_in(c_Zorn_Omaxchain__super__lemma__1(X3,X5,X2),X3,tc_set(X2))|~c_in(X1,X4,tc_set(X2))|~c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))|c_in(c_Zorn_Ochain__extend__1(X3,X1,X2),X3,tc_set(X2)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f25,f22])).
% 4.86/0.98  fof(f969,plain,(
% 4.86/0.98    ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,X1,X2)|~c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X3,X5,X2),X5,tc_set(X2))|c_in(X0,X5,X2)|~c_in(X1,X4,tc_set(X2))|~c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))|~c_lessequals(c_Zorn_Ochain__extend__1(X3,X1,X2),X1,tc_set(X2)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f27,f23])).
% 4.86/0.98  fof(f970,plain,(
% 4.86/0.98    ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,X1,X2)|~c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X3,X5,X2),X5,tc_set(X2))|c_in(X0,X5,X2)|~c_in(X1,X4,tc_set(X2))|~c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))|c_in(c_Zorn_Ochain__extend__1(X3,X1,X2),X3,tc_set(X2)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f27,f22])).
% 4.86/0.98  fof(f972,plain,(
% 4.86/0.98    spl0_129 <=> ~c_in(X0,X1,t_a)|c_in(X0,X2,t_a)|c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_c,tc_set(t_a))|~c_in(X1,v_S,tc_set(t_a))|~c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f973,plain,(
% 4.86/0.98    ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,X2,t_a)|c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_c,tc_set(t_a))|~c_in(X1,v_S,tc_set(t_a))|~c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a))|~spl0_129)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f972])).
% 4.86/0.98  fof(f975,plain,(
% 4.86/0.98    spl0_130 <=> c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f977,plain,(
% 4.86/0.98    ~c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))|spl0_130),
% 4.86/0.98    inference(component_clause,[status(thm)],[f975])).
% 4.86/0.98  fof(f978,plain,(
% 4.86/0.98    ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,X2,t_a)|c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_c,tc_set(t_a))|~c_in(X1,v_S,tc_set(t_a))|~c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))|~c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f967,f28])).
% 4.86/0.98  fof(f979,plain,(
% 4.86/0.98    spl0_129|~spl0_130),
% 4.86/0.98    inference(split_clause,[status(thm)],[f978,f972,f975])).
% 4.86/0.98  fof(f980,plain,(
% 4.86/0.98    $false|spl0_130),
% 4.86/0.98    inference(forward_subsumption_resolution,[status(thm)],[f977,f29])).
% 4.86/0.98  fof(f981,plain,(
% 4.86/0.98    spl0_130),
% 4.86/0.98    inference(contradiction_clause,[status(thm)],[f980])).
% 4.86/0.98  fof(f983,plain,(
% 4.86/0.98    spl0_131 <=> ~c_in(X0,X1,t_a)|c_in(X0,X2,t_a)|c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_c,tc_set(t_a))|~c_in(X1,v_S,tc_set(t_a))|c_in(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_c,tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f984,plain,(
% 4.86/0.98    ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,X2,t_a)|c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_c,tc_set(t_a))|~c_in(X1,v_S,tc_set(t_a))|c_in(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_c,tc_set(t_a))|~spl0_131)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f983])).
% 4.86/0.98  fof(f986,plain,(
% 4.86/0.98    ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,X2,t_a)|c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_c,tc_set(t_a))|~c_in(X1,v_S,tc_set(t_a))|~c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))|c_in(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_c,tc_set(t_a)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f968,f28])).
% 4.86/0.98  fof(f987,plain,(
% 4.86/0.98    spl0_131|~spl0_130),
% 4.86/0.98    inference(split_clause,[status(thm)],[f986,f983,f975])).
% 4.86/0.98  fof(f989,plain,(
% 4.86/0.98    spl0_132 <=> ~c_in(X0,X1,t_a)|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))|c_in(X0,X2,t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f990,plain,(
% 4.86/0.98    ![X0,X1,X2]: (~c_in(X0,X1,t_a)|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))|c_in(X0,X2,t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a))|~spl0_132)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f989])).
% 4.86/0.98  fof(f992,plain,(
% 4.86/0.98    ![X0,X1,X2]: (~c_in(X0,X1,t_a)|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))|c_in(X0,X2,t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))|~c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f969,f28])).
% 4.86/0.98  fof(f993,plain,(
% 4.86/0.98    spl0_132|~spl0_130),
% 4.86/0.98    inference(split_clause,[status(thm)],[f992,f989,f975])).
% 4.86/0.98  fof(f995,plain,(
% 4.86/0.98    spl0_133 <=> ~c_in(X0,X1,t_a)|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))|c_in(X0,X2,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_in(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_c,tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f996,plain,(
% 4.86/0.98    ![X0,X1,X2]: (~c_in(X0,X1,t_a)|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))|c_in(X0,X2,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_in(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_c,tc_set(t_a))|~spl0_133)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f995])).
% 4.86/0.98  fof(f998,plain,(
% 4.86/0.98    ![X0,X1,X2]: (~c_in(X0,X1,t_a)|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))|c_in(X0,X2,t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))|c_in(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_c,tc_set(t_a)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f970,f28])).
% 4.86/0.98  fof(f999,plain,(
% 4.86/0.98    spl0_133|~spl0_130),
% 4.86/0.98    inference(split_clause,[status(thm)],[f998,f995,f975])).
% 4.86/0.98  fof(f1000,plain,(
% 4.86/0.98    ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,X2,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_in(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_c,tc_set(t_a))|c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_y,tc_set(t_a))|~spl0_131)),
% 4.86/0.98    inference(resolution,[status(thm)],[f984,f31])).
% 4.86/0.98  fof(f1001,plain,(
% 4.86/0.98    spl0_134 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),t_a),v_x(v_x(v_x(v_x(v_y)))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1004,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),t_a),v_x(v_x(v_x(v_x(v_y)))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|~spl0_126)),
% 4.86/0.98    inference(resolution,[status(thm)],[f958,f484])).
% 4.86/0.98  fof(f1005,plain,(
% 4.86/0.98    spl0_134|~spl0_85|~spl0_126),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1004,f1001,f636,f947])).
% 4.86/0.98  fof(f1012,plain,(
% 4.86/0.98    ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,X2,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_y,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_y,tc_set(t_a))|~spl0_131)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1000,f31])).
% 4.86/0.98  fof(f1013,plain,(
% 4.86/0.98    spl0_135 <=> ~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_y,tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1014,plain,(
% 4.86/0.98    ![X0,X1]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_y,tc_set(t_a))|~spl0_135)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f1013])).
% 4.86/0.98  fof(f1016,plain,(
% 4.86/0.98    spl0_136 <=> ~c_in(X2,X3,t_a)|c_in(X2,v_y,t_a)|~c_in(X3,v_S,tc_set(t_a))|c_in(c_Zorn_Ochain__extend__1(v_c,X3,t_a),v_c,tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1017,plain,(
% 4.86/0.98    ![X0,X1]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_in(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_c,tc_set(t_a))|~spl0_136)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f1016])).
% 4.86/0.98  fof(f1019,plain,(
% 4.86/0.98    ![X0,X1,X2,X3]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_y,tc_set(t_a))|~c_in(X2,X3,t_a)|c_in(X2,v_y,t_a)|~c_in(X3,v_S,tc_set(t_a))|c_in(c_Zorn_Ochain__extend__1(v_c,X3,t_a),v_c,tc_set(t_a))|~spl0_131|~spl0_133)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1012,f996])).
% 4.86/0.98  fof(f1020,plain,(
% 4.86/0.98    spl0_135|spl0_136|~spl0_131|~spl0_133),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1019,f1013,f1016,f983,f995])).
% 4.86/0.98  fof(f1021,plain,(
% 4.86/0.98    spl0_137 <=> ~c_in(X2,X3,t_a)|c_in(X2,v_y,t_a)|~c_in(X3,v_S,tc_set(t_a))|~c_lessequals(c_Zorn_Ochain__extend__1(v_c,X3,t_a),X3,tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1022,plain,(
% 4.86/0.98    ![X0,X1]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a))|~spl0_137)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f1021])).
% 4.86/0.98  fof(f1024,plain,(
% 4.86/0.98    ![X0,X1,X2,X3]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_y,tc_set(t_a))|~c_in(X2,X3,t_a)|c_in(X2,v_y,t_a)|~c_in(X3,v_S,tc_set(t_a))|~c_lessequals(c_Zorn_Ochain__extend__1(v_c,X3,t_a),X3,tc_set(t_a))|~spl0_131|~spl0_132)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1012,f990])).
% 4.86/0.98  fof(f1025,plain,(
% 4.86/0.98    spl0_135|spl0_137|~spl0_131|~spl0_132),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1024,f1013,f1021,f983,f989])).
% 4.86/0.98  fof(f1036,plain,(
% 4.86/0.98    ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_in(X2,c_Zorn_Ochain__extend__1(v_c,X1,t_a),t_a)|c_in(X2,v_y,t_a)|~spl0_135)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1014,f19])).
% 4.86/0.98  fof(f1038,plain,(
% 4.86/0.98    ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X2,t_a),v_y,t_a)|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X2,tc_set(t_a))|~spl0_135)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1036,f20])).
% 4.86/0.98  fof(f1039,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|~spl0_64)),
% 4.86/0.98    inference(resolution,[status(thm)],[f454,f44])).
% 4.86/0.98  fof(f1040,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~spl0_64)),
% 4.86/0.98    inference(duplicate_literals_removal,[status(esa)],[f1039])).
% 4.86/0.98  fof(f1041,plain,(
% 4.86/0.98    spl0_140 <=> c_lessequals(v_y,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1042,plain,(
% 4.86/0.98    c_lessequals(v_y,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|~spl0_140),
% 4.86/0.98    inference(component_clause,[status(thm)],[f1041])).
% 4.86/0.98  fof(f1044,plain,(
% 4.86/0.98    c_lessequals(v_y,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|c_lessequals(v_y,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|~spl0_64),
% 4.86/0.98    inference(resolution,[status(thm)],[f454,f20])).
% 4.86/0.98  fof(f1045,plain,(
% 4.86/0.98    spl0_140|~spl0_64),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1044,f1041,f453])).
% 4.86/0.98  fof(f1046,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_y,t_a)|c_in(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),t_a)|~spl0_140)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1042,f19])).
% 4.86/0.98  fof(f1055,plain,(
% 4.86/0.98    spl0_143 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),t_a),v_y,t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1058,plain,(
% 4.86/0.98    spl0_144 <=> c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1059,plain,(
% 4.86/0.98    c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))|~spl0_144),
% 4.86/0.98    inference(component_clause,[status(thm)],[f1058])).
% 4.86/0.98  fof(f1060,plain,(
% 4.86/0.98    ~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))|spl0_144),
% 4.86/0.98    inference(component_clause,[status(thm)],[f1058])).
% 4.86/0.98  fof(f1061,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),t_a),v_y,t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))|~spl0_140)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1046,f484])).
% 4.86/0.98  fof(f1062,plain,(
% 4.86/0.98    spl0_143|~spl0_144|~spl0_140),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1061,f1055,f1058,f1041])).
% 4.86/0.98  fof(f1069,plain,(
% 4.86/0.98    ~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|spl0_144),
% 4.86/0.98    inference(resolution,[status(thm)],[f1060,f32])).
% 4.86/0.98  fof(f1070,plain,(
% 4.86/0.98    ~spl0_103|spl0_144),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1069,f764,f1058])).
% 4.86/0.98  fof(f1071,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a)|c_in(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),t_a)|~spl0_144)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1059,f37])).
% 4.86/0.98  fof(f1072,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~c_in(X1,c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),t_a)|c_in(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),t_a)|~spl0_64)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1040,f19])).
% 4.86/0.98  fof(f1093,plain,(
% 4.86/0.98    ![X0,X1]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_y,tc_set(t_a))|~spl0_136)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1017,f31])).
% 4.86/0.98  fof(f1098,plain,(
% 4.86/0.98    spl0_146 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1101,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))|~spl0_144)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1071,f484])).
% 4.86/0.98  fof(f1102,plain,(
% 4.86/0.98    spl0_146|~spl0_144),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1101,f1098,f1058])).
% 4.86/0.98  fof(f1103,plain,(
% 4.86/0.98    spl0_147 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1106,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))|~spl0_144)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1071,f130])).
% 4.86/0.98  fof(f1107,plain,(
% 4.86/0.98    spl0_147|~spl0_144),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1106,f1103,f1058])).
% 4.86/0.98  fof(f1108,plain,(
% 4.86/0.98    spl0_148 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1111,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))|~spl0_144)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1071,f76])).
% 4.86/0.98  fof(f1112,plain,(
% 4.86/0.98    spl0_148|~spl0_144),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1111,f1108,f1058])).
% 4.86/0.98  fof(f1113,plain,(
% 4.86/0.98    spl0_149 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1116,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))|~spl0_144)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1071,f50])).
% 4.86/0.98  fof(f1117,plain,(
% 4.86/0.98    spl0_149|~spl0_144),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1116,f1113,f1058])).
% 4.86/0.98  fof(f1179,plain,(
% 4.86/0.98    ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_in(X2,c_Zorn_Ochain__extend__1(v_c,X1,t_a),t_a)|c_in(X2,v_y,t_a)|~spl0_136)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1093,f19])).
% 4.86/0.98  fof(f1366,plain,(
% 4.86/0.98    spl0_185 <=> c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~c_in(c_Main_OsubsetI__1(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),t_a),c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),t_a)|c_lessequals(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1369,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|~c_in(c_Main_OsubsetI__1(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),t_a),c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),t_a)|c_lessequals(X1,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))|~spl0_64)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1072,f484])).
% 4.86/0.98  fof(f1370,plain,(
% 4.86/0.98    spl0_185|~spl0_144|~spl0_64),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1369,f1366,f1058,f453])).
% 4.86/0.98  fof(f1425,plain,(
% 4.86/0.98    spl0_189 <=> c_lessequals(v_x(v_x(v_y)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1426,plain,(
% 4.86/0.98    c_lessequals(v_x(v_x(v_y)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|~spl0_189),
% 4.86/0.98    inference(component_clause,[status(thm)],[f1425])).
% 4.86/0.98  fof(f1428,plain,(
% 4.86/0.98    c_lessequals(v_x(v_x(v_y)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|c_lessequals(v_x(v_x(v_y)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),tc_set(t_a))|~spl0_65),
% 4.86/0.98    inference(resolution,[status(thm)],[f459,f20])).
% 4.86/0.98  fof(f1429,plain,(
% 4.86/0.98    spl0_189|~spl0_65),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1428,f1425,f458])).
% 4.86/0.98  fof(f1432,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_x(v_x(v_y)),t_a)|c_in(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a)|~spl0_189)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1426,f19])).
% 4.86/0.98  fof(f1433,plain,(
% 4.86/0.98    spl0_190 <=> c_lessequals(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_x(v_x(v_y)),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1435,plain,(
% 4.86/0.98    ~c_lessequals(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_x(v_x(v_y)),tc_set(t_a))|spl0_190),
% 4.86/0.98    inference(component_clause,[status(thm)],[f1433])).
% 4.86/0.98  fof(f1436,plain,(
% 4.86/0.98    spl0_191 <=> v_x(v_x(v_y))=v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1437,plain,(
% 4.86/0.98    v_x(v_x(v_y))=v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))|~spl0_191),
% 4.86/0.98    inference(component_clause,[status(thm)],[f1436])).
% 4.86/0.98  fof(f1439,plain,(
% 4.86/0.98    ~c_lessequals(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_x(v_x(v_y)),tc_set(t_a))|v_x(v_x(v_y))=v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))|~spl0_189),
% 4.86/0.98    inference(resolution,[status(thm)],[f1426,f17])).
% 4.86/0.98  fof(f1440,plain,(
% 4.86/0.98    ~spl0_190|spl0_191|~spl0_189),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1439,f1433,f1436,f1425])).
% 4.86/0.98  fof(f1441,plain,(
% 4.86/0.98    spl0_192 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),t_a),v_x(v_x(v_y)),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1444,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),t_a),v_x(v_x(v_y)),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|~spl0_189)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1432,f484])).
% 4.86/0.98  fof(f1445,plain,(
% 4.86/0.98    spl0_192|~spl0_103|~spl0_189),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1444,f1441,f764,f1425])).
% 4.86/0.98  fof(f1446,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),t_a),v_x(v_x(v_y)),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|~spl0_189)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1432,f130])).
% 4.86/0.98  fof(f1447,plain,(
% 4.86/0.98    spl0_115|~spl0_103|~spl0_189),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1446,f848,f764,f1425])).
% 4.86/0.98  fof(f1461,plain,(
% 4.86/0.98    spl0_194 <=> c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1482,plain,(
% 4.86/0.98    spl0_196 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),tc_set(t_a))|c_lessequals(v_c,X1,tc_set(tc_set(t_a)))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),t_a),c_Main_OsubsetI__1(v_c,X1,tc_set(t_a)),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1485,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))|c_lessequals(v_c,X1,tc_set(tc_set(t_a)))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),t_a),c_Main_OsubsetI__1(v_c,X1,tc_set(t_a)),t_a)|~spl0_64)),
% 4.86/0.98    inference(resolution,[status(thm)],[f568,f1072])).
% 4.86/0.98  fof(f1486,plain,(
% 4.86/0.98    spl0_196|~spl0_144|~spl0_64),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1485,f1482,f1058,f453])).
% 4.86/0.98  fof(f1487,plain,(
% 4.86/0.98    spl0_197 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1490,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a)|~spl0_144)),
% 4.86/0.98    inference(resolution,[status(thm)],[f568,f1071])).
% 4.86/0.98  fof(f1491,plain,(
% 4.86/0.98    spl0_197|~spl0_144),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1490,f1487,f1058])).
% 4.86/0.98  fof(f1492,plain,(
% 4.86/0.98    spl0_198 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),t_a),v_y,t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1495,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),t_a),v_y,t_a)|~spl0_140)),
% 4.86/0.98    inference(resolution,[status(thm)],[f568,f1046])).
% 4.86/0.98  fof(f1496,plain,(
% 4.86/0.98    spl0_198|~spl0_144|~spl0_140),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1495,f1492,f1058,f1041])).
% 4.86/0.98  fof(f1497,plain,(
% 4.86/0.98    spl0_199 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),t_a),v_x(v_x(v_y)),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1504,plain,(
% 4.86/0.98    spl0_200 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),t_a),v_x(v_y),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1511,plain,(
% 4.86/0.98    spl0_201 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1514,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)|~spl0_103)),
% 4.86/0.98    inference(resolution,[status(thm)],[f568,f777])).
% 4.86/0.98  fof(f1515,plain,(
% 4.86/0.98    spl0_201|~spl0_103),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1514,f1511,f764])).
% 4.86/0.98  fof(f1520,plain,(
% 4.86/0.98    spl0_202 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),t_a),v_x(v_x(v_x(v_x(v_y)))),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1523,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),t_a),v_x(v_x(v_x(v_x(v_y)))),t_a)|~spl0_126)),
% 4.86/0.98    inference(resolution,[status(thm)],[f568,f958])).
% 4.86/0.98  fof(f1524,plain,(
% 4.86/0.98    spl0_202|~spl0_85|~spl0_126),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1523,f1520,f636,f947])).
% 4.86/0.98  fof(f1525,plain,(
% 4.86/0.98    spl0_203 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),t_a),v_x(v_x(v_x(v_y))),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1536,plain,(
% 4.86/0.98    spl0_204 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1539,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)|~spl0_85)),
% 4.86/0.98    inference(resolution,[status(thm)],[f568,f649])).
% 4.86/0.98  fof(f1540,plain,(
% 4.86/0.98    spl0_204|~spl0_85),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1539,f1536,f636])).
% 4.86/0.98  fof(f1568,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(X1))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(X1))),v_S,tc_set(t_a))|~c_in(X1,v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(X1))))))))),t_a),v_x(X1),t_a))),
% 4.86/0.98    inference(resolution,[status(thm)],[f568,f508])).
% 4.86/0.98  fof(f1580,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(X1))))))),tc_set(t_a))|~c_in(v_x(X1),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(X1))))))),t_a),v_x(X1),t_a)|~c_in(X1,v_S,tc_set(t_a)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f568,f38])).
% 4.86/0.98  fof(f1581,plain,(
% 4.86/0.98    ![X0,X1]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(X1))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(X1))))))),t_a),v_x(X1),t_a)|~c_in(X1,v_S,tc_set(t_a)))),
% 4.86/0.98    inference(forward_subsumption_resolution,[status(thm)],[f1580,f32])).
% 4.86/0.98  fof(f1606,plain,(
% 4.86/0.98    ![X0,X1]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_x(v_y),tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_x(v_y),tc_set(t_a))|~spl0_135)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1038,f51])).
% 4.86/0.98  fof(f1607,plain,(
% 4.86/0.98    ![X0,X1]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_x(v_y),tc_set(t_a))|~spl0_135)),
% 4.86/0.98    inference(duplicate_literals_removal,[status(esa)],[f1606])).
% 4.86/0.98  fof(f1610,plain,(
% 4.86/0.98    spl0_205 <=> ~c_in(X0,v_x(v_y),t_a)|c_in(X0,v_y,t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1611,plain,(
% 4.86/0.98    ![X0]: (~c_in(X0,v_x(v_y),t_a)|c_in(X0,v_y,t_a)|~spl0_205)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f1610])).
% 4.86/0.98  fof(f1613,plain,(
% 4.86/0.98    spl0_206 <=> ~c_in(X1,v_x(v_y),t_a)|c_in(X1,X2,t_a)|c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_c,tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f1614,plain,(
% 4.86/0.98    ![X0,X1]: (~c_in(X0,v_x(v_y),t_a)|c_in(X0,X1,t_a)|c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a))|~spl0_206)),
% 4.86/0.98    inference(component_clause,[status(thm)],[f1613])).
% 4.86/0.98  fof(f1616,plain,(
% 4.86/0.98    ![X0,X1,X2]: (~c_in(X0,v_x(v_y),t_a)|c_in(X0,v_y,t_a)|~c_in(v_x(v_y),v_S,tc_set(t_a))|~c_in(X1,v_x(v_y),t_a)|c_in(X1,X2,t_a)|c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_c,tc_set(t_a))|~c_in(v_x(v_y),v_S,tc_set(t_a))|~spl0_135|~spl0_129)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1607,f973])).
% 4.86/0.98  fof(f1617,plain,(
% 4.86/0.98    spl0_205|~spl0_9|spl0_206|~spl0_135|~spl0_129),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1616,f1610,f108,f1613,f1013,f972])).
% 4.86/0.98  fof(f1622,plain,(
% 4.86/0.98    ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X2,t_a),v_y,t_a)|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X2,tc_set(t_a))|~spl0_136)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1179,f20])).
% 4.86/0.98  fof(f1623,plain,(
% 4.86/0.98    ![X0,X1]: (~c_in(X0,v_x(v_y),t_a)|c_in(X0,X1,t_a)|c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_y,tc_set(t_a))|~spl0_206)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1614,f31])).
% 4.86/0.98  fof(f1624,plain,(
% 4.86/0.98    ![X0,X1,X2]: (~c_in(X0,v_x(v_y),t_a)|c_in(X0,v_y,t_a)|~c_in(X1,X2,t_a)|c_in(X1,v_y,t_a)|~c_in(X2,v_S,tc_set(t_a))|c_in(c_Zorn_Ochain__extend__1(v_c,X2,t_a),v_c,tc_set(t_a))|~spl0_206|~spl0_133)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1623,f996])).
% 4.86/0.98  fof(f1625,plain,(
% 4.86/0.98    spl0_205|spl0_136|~spl0_206|~spl0_133),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1624,f1610,f1016,f1613,f995])).
% 4.86/0.98  fof(f1626,plain,(
% 4.86/0.98    ![X0,X1,X2]: (~c_in(X0,v_x(v_y),t_a)|c_in(X0,v_y,t_a)|~c_in(X1,X2,t_a)|c_in(X1,v_y,t_a)|~c_in(X2,v_S,tc_set(t_a))|~c_lessequals(c_Zorn_Ochain__extend__1(v_c,X2,t_a),X2,tc_set(t_a))|~spl0_206|~spl0_132)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1623,f990])).
% 4.86/0.98  fof(f1627,plain,(
% 4.86/0.98    spl0_205|spl0_137|~spl0_206|~spl0_132),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1626,f1610,f1021,f1613,f989])).
% 4.86/0.98  fof(f1632,plain,(
% 4.86/0.98    ![X0]: (c_in(c_Main_OsubsetI__1(v_x(v_y),X0,t_a),v_y,t_a)|c_lessequals(v_x(v_y),X0,tc_set(t_a))|~spl0_205)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1611,f20])).
% 4.86/0.98  fof(f1655,plain,(
% 4.86/0.98    c_lessequals(v_x(v_y),v_y,tc_set(t_a))|c_lessequals(v_x(v_y),v_y,tc_set(t_a))|~spl0_205),
% 4.86/0.98    inference(resolution,[status(thm)],[f1632,f21])).
% 4.86/0.98  fof(f1656,plain,(
% 4.86/0.98    spl0_1|~spl0_205),
% 4.86/0.98    inference(split_clause,[status(thm)],[f1655,f60,f1610])).
% 4.86/0.98  fof(f1665,plain,(
% 4.86/0.98    ~c_lessequals(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_x(v_y),tc_set(t_a))|~spl0_2|spl0_190),
% 4.86/0.98    inference(backward_demodulation,[status(thm)],[f64,f1435])).
% 4.86/0.98  fof(f1666,plain,(
% 4.86/0.98    ~c_lessequals(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_x(v_y),tc_set(t_a))|~spl0_2|spl0_190),
% 4.86/0.98    inference(forward_demodulation,[status(thm)],[f64,f1665])).
% 4.86/0.98  fof(f1667,plain,(
% 4.86/0.98    ~c_lessequals(v_x(v_x(v_x(v_x(v_x(v_y))))),v_x(v_y),tc_set(t_a))|~spl0_2|spl0_190),
% 4.86/0.98    inference(forward_demodulation,[status(thm)],[f64,f1666])).
% 4.86/0.98  fof(f1668,plain,(
% 4.86/0.98    ~c_lessequals(v_x(v_x(v_x(v_x(v_y)))),v_x(v_y),tc_set(t_a))|~spl0_2|spl0_190),
% 4.86/0.98    inference(forward_demodulation,[status(thm)],[f64,f1667])).
% 4.86/0.98  fof(f1669,plain,(
% 4.86/0.98    ~c_lessequals(v_x(v_x(v_x(v_y))),v_x(v_y),tc_set(t_a))|~spl0_2|spl0_190),
% 4.86/0.98    inference(forward_demodulation,[status(thm)],[f64,f1668])).
% 4.86/0.98  fof(f1670,plain,(
% 4.86/0.98    ~c_lessequals(v_x(v_x(v_y)),v_x(v_y),tc_set(t_a))|~spl0_2|spl0_190),
% 4.86/0.98    inference(forward_demodulation,[status(thm)],[f64,f1669])).
% 4.86/0.98  fof(f1671,plain,(
% 4.86/0.98    ~c_lessequals(v_x(v_y),v_x(v_y),tc_set(t_a))|~spl0_2|spl0_190),
% 4.86/0.98    inference(forward_demodulation,[status(thm)],[f64,f1670])).
% 4.86/0.98  fof(f1672,plain,(
% 4.86/0.98    ~c_lessequals(v_y,v_x(v_y),tc_set(t_a))|~spl0_2|spl0_190),
% 4.86/0.98    inference(forward_demodulation,[status(thm)],[f64,f1671])).
% 4.86/0.98  fof(f1673,plain,(
% 4.86/0.98    ~c_lessequals(v_y,v_y,tc_set(t_a))|~spl0_2|spl0_190),
% 4.86/0.98    inference(forward_demodulation,[status(thm)],[f64,f1672])).
% 4.86/0.98  fof(f1674,plain,(
% 4.86/0.98    $false|~spl0_2|spl0_190),
% 4.86/0.98    inference(forward_subsumption_resolution,[status(thm)],[f1673,f48])).
% 4.86/0.98  fof(f1675,plain,(
% 4.86/0.98    ~spl0_2|spl0_190),
% 4.86/0.98    inference(contradiction_clause,[status(thm)],[f1674])).
% 4.86/0.98  fof(f2214,plain,(
% 4.86/0.98    ~c_lessequals(v_x(v_x(v_y)),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|~spl0_191),
% 4.86/0.98    inference(paramodulation,[status(thm)],[f1437,f36])).
% 4.86/0.98  fof(f2215,plain,(
% 4.86/0.98    ~spl0_112|~spl0_103|~spl0_191),
% 4.86/0.98    inference(split_clause,[status(thm)],[f2214,f832,f764,f1436])).
% 4.86/0.98  fof(f2234,plain,(
% 4.86/0.98    ~c_in(v_x(v_x(v_y)),v_S,tc_set(t_a))|~spl0_36),
% 4.86/0.98    inference(resolution,[status(thm)],[f287,f34])).
% 4.86/0.98  fof(f2235,plain,(
% 4.86/0.98    ~spl0_20|~spl0_36),
% 4.86/0.98    inference(split_clause,[status(thm)],[f2234,f183,f286])).
% 4.86/0.98  fof(f2471,plain,(
% 4.86/0.98    ~c_in(v_x(v_x(v_x(v_y))),v_S,tc_set(t_a))|~spl0_60),
% 4.86/0.98    inference(resolution,[status(thm)],[f429,f34])).
% 4.86/0.98  fof(f2472,plain,(
% 4.86/0.98    ~spl0_31|~spl0_60),
% 4.86/0.98    inference(split_clause,[status(thm)],[f2471,f253,f428])).
% 4.86/0.98  fof(f2758,plain,(
% 4.86/0.98    ~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|~spl0_111),
% 4.86/0.98    inference(resolution,[status(thm)],[f828,f34])).
% 4.86/0.98  fof(f2759,plain,(
% 4.86/0.98    ~spl0_45|~spl0_111),
% 4.86/0.98    inference(split_clause,[status(thm)],[f2758,f335,f827])).
% 4.86/0.98  fof(f3223,plain,(
% 4.86/0.98    spl0_356 <=> c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),v_S,tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3225,plain,(
% 4.86/0.98    ~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),v_S,tc_set(t_a))|spl0_356),
% 4.86/0.98    inference(component_clause,[status(thm)],[f3223])).
% 4.86/0.98  fof(f3271,plain,(
% 4.86/0.98    spl0_357 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),t_a),v_y,t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3274,plain,(
% 4.86/0.98    spl0_358 <=> c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),v_S,tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3276,plain,(
% 4.86/0.98    ~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),v_S,tc_set(t_a))|spl0_358),
% 4.86/0.98    inference(component_clause,[status(thm)],[f3274])).
% 4.86/0.98  fof(f3290,plain,(
% 4.86/0.98    ~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),v_S,tc_set(t_a))|spl0_358),
% 4.86/0.98    inference(resolution,[status(thm)],[f3276,f32])).
% 4.86/0.98  fof(f3291,plain,(
% 4.86/0.98    ~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))|spl0_358),
% 4.86/0.98    inference(resolution,[status(thm)],[f3290,f32])).
% 4.86/0.98  fof(f3292,plain,(
% 4.86/0.98    ~spl0_144|spl0_358),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3291,f1058,f3274])).
% 4.86/0.98  fof(f3297,plain,(
% 4.86/0.98    spl0_359 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),t_a),v_x(v_y),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3313,plain,(
% 4.86/0.98    ~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))|spl0_356),
% 4.86/0.98    inference(resolution,[status(thm)],[f3225,f32])).
% 4.86/0.98  fof(f3314,plain,(
% 4.86/0.98    ~spl0_144|spl0_356),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3313,f1058,f3223])).
% 4.86/0.98  fof(f3342,plain,(
% 4.86/0.98    spl0_360 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),t_a),v_x(v_x(v_y)),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3364,plain,(
% 4.86/0.98    spl0_361 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),t_a),v_x(v_x(v_x(v_y))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3413,plain,(
% 4.86/0.98    spl0_362 <=> c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),tc_set(t_a))|c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3416,plain,(
% 4.86/0.98    ![X0]: (~c_in(v_x(v_y),v_S,tc_set(t_a))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),tc_set(t_a))|~spl0_3)),
% 4.86/0.98    inference(resolution,[status(thm)],[f573,f233])).
% 4.86/0.98  fof(f3417,plain,(
% 4.86/0.98    ~spl0_9|spl0_362|~spl0_45|~spl0_3),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3416,f108,f3413,f335,f77])).
% 4.86/0.98  fof(f3418,plain,(
% 4.86/0.98    ![X0]: (~c_in(v_y,v_S,tc_set(t_a))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_y))),v_S,tc_set(t_a))|c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),tc_set(t_a)))),
% 4.86/0.98    inference(resolution,[status(thm)],[f573,f70])).
% 4.86/0.98  fof(f3419,plain,(
% 4.86/0.98    ~spl0_4|spl0_194|~spl0_31),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3418,f80,f1461,f253])).
% 4.86/0.98  fof(f3438,plain,(
% 4.86/0.98    ![X0]: (~c_in(v_x(v_x(v_x(v_y))),v_S,tc_set(t_a))|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))),t_a),v_x(v_x(v_x(v_y))),t_a)|~spl0_31)),
% 4.86/0.98    inference(resolution,[status(thm)],[f573,f262])).
% 4.86/0.98  fof(f3439,plain,(
% 4.86/0.98    ~spl0_31|spl0_203|~spl0_103),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3438,f253,f1525,f764])).
% 4.86/0.98  fof(f3447,plain,(
% 4.86/0.98    spl0_363 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),t_a),v_x(v_x(v_x(v_x(v_y)))),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3450,plain,(
% 4.86/0.98    ![X0]: (~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),t_a),v_x(v_x(v_x(v_x(v_y)))),t_a)|~spl0_45)),
% 4.86/0.98    inference(resolution,[status(thm)],[f573,f344])).
% 4.86/0.98  fof(f3451,plain,(
% 4.86/0.98    ~spl0_45|spl0_363|~spl0_144),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3450,f335,f3447,f1058])).
% 4.86/0.98  fof(f3452,plain,(
% 4.86/0.98    ![X0]: (~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),t_a),v_x(v_x(v_x(v_y))),t_a)|~spl0_91)),
% 4.86/0.98    inference(resolution,[status(thm)],[f573,f699])).
% 4.86/0.98  fof(f3453,plain,(
% 4.86/0.98    ~spl0_45|spl0_361|~spl0_144|~spl0_91),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3452,f335,f3364,f1058,f690])).
% 4.86/0.98  fof(f3454,plain,(
% 4.86/0.98    ![X0]: (~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),t_a),v_x(v_x(v_y)),t_a)|~spl0_77)),
% 4.86/0.98    inference(resolution,[status(thm)],[f573,f597])).
% 4.86/0.98  fof(f3455,plain,(
% 4.86/0.98    ~spl0_45|spl0_199|~spl0_144|~spl0_77),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3454,f335,f1497,f1058,f590])).
% 4.86/0.98  fof(f3456,plain,(
% 4.86/0.98    ![X0]: (~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),t_a),v_x(v_y),t_a)|~spl0_54)),
% 4.86/0.98    inference(resolution,[status(thm)],[f573,f400])).
% 4.86/0.98  fof(f3457,plain,(
% 4.86/0.98    ~spl0_45|spl0_200|~spl0_144|~spl0_54),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3456,f335,f1504,f1058,f395])).
% 4.86/0.98  fof(f3460,plain,(
% 4.86/0.98    spl0_364 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))))),t_a),v_y,t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3463,plain,(
% 4.86/0.98    spl0_365 <=> c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),v_S,tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3465,plain,(
% 4.86/0.98    ~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),v_S,tc_set(t_a))|spl0_365),
% 4.86/0.98    inference(component_clause,[status(thm)],[f3463])).
% 4.86/0.98  fof(f3466,plain,(
% 4.86/0.98    ![X0]: (~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))))),t_a),v_y,t_a)|~spl0_140)),
% 4.86/0.98    inference(resolution,[status(thm)],[f573,f1046])).
% 4.86/0.98  fof(f3467,plain,(
% 4.86/0.98    ~spl0_144|spl0_364|~spl0_365|~spl0_140),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3466,f1058,f3460,f3463,f1041])).
% 4.86/0.98  fof(f3468,plain,(
% 4.86/0.98    spl0_366 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),t_a),v_x(v_x(v_y)),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3471,plain,(
% 4.86/0.98    ![X0]: (~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),t_a),v_x(v_x(v_y)),t_a)|~spl0_189)),
% 4.86/0.98    inference(resolution,[status(thm)],[f573,f1432])).
% 4.86/0.98  fof(f3472,plain,(
% 4.86/0.98    ~spl0_103|spl0_366|~spl0_358|~spl0_189),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3471,f764,f3468,f3274,f1425])).
% 4.86/0.98  fof(f3473,plain,(
% 4.86/0.98    spl0_367 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),t_a),v_x(v_y),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3476,plain,(
% 4.86/0.98    ![X0]: (~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),t_a),v_x(v_y),t_a)|~spl0_121)),
% 4.86/0.98    inference(resolution,[status(thm)],[f573,f911])).
% 4.86/0.98  fof(f3477,plain,(
% 4.86/0.98    ~spl0_103|spl0_367|~spl0_358|~spl0_121),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3476,f764,f3473,f3274,f906])).
% 4.86/0.98  fof(f3478,plain,(
% 4.86/0.98    ![X0]: (~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),t_a),v_y,t_a)|~spl0_99)),
% 4.86/0.98    inference(resolution,[status(thm)],[f573,f752])).
% 4.86/0.98  fof(f3479,plain,(
% 4.86/0.98    ~spl0_103|spl0_357|~spl0_358|~spl0_99),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3478,f764,f3271,f3274,f747])).
% 4.86/0.98  fof(f3480,plain,(
% 4.86/0.98    spl0_368 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),t_a),v_x(v_x(v_x(v_y))),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3483,plain,(
% 4.86/0.98    ![X0]: (~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),t_a),v_x(v_x(v_x(v_y))),t_a)|~spl0_117)),
% 4.86/0.98    inference(resolution,[status(thm)],[f573,f885])).
% 4.86/0.98  fof(f3484,plain,(
% 4.86/0.98    ~spl0_85|spl0_368|~spl0_356|~spl0_117),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3483,f636,f3480,f3223,f876])).
% 4.86/0.98  fof(f3485,plain,(
% 4.86/0.98    ![X0]: (~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),t_a),v_x(v_x(v_y)),t_a)|~spl0_112)),
% 4.86/0.98    inference(resolution,[status(thm)],[f573,f839])).
% 4.86/0.98  fof(f3486,plain,(
% 4.86/0.98    ~spl0_85|spl0_360|~spl0_356|~spl0_112),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3485,f636,f3342,f3223,f832])).
% 4.86/0.98  fof(f3487,plain,(
% 4.86/0.98    ![X0]: (~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),t_a),v_x(v_y),t_a)|~spl0_95)),
% 4.86/0.98    inference(resolution,[status(thm)],[f573,f725])).
% 4.86/0.98  fof(f3488,plain,(
% 4.86/0.98    ~spl0_85|spl0_359|~spl0_356|~spl0_95),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3487,f636,f3297,f3223,f720])).
% 4.86/0.98  fof(f3561,plain,(
% 4.86/0.98    ~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),v_S,tc_set(t_a))|spl0_365),
% 4.86/0.98    inference(resolution,[status(thm)],[f3465,f32])).
% 4.86/0.98  fof(f3562,plain,(
% 4.86/0.98    ~spl0_358|spl0_365),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3561,f3274,f3463])).
% 4.86/0.98  fof(f3570,plain,(
% 4.86/0.98    spl0_369 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),t_a),v_x(v_x(v_x(v_x(v_y)))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3573,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),t_a),v_x(v_x(v_x(v_x(v_y)))),t_a)|~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),v_S,tc_set(t_a))|~spl0_126)),
% 4.86/0.98    inference(resolution,[status(thm)],[f958,f573])).
% 4.86/0.98  fof(f3574,plain,(
% 4.86/0.98    spl0_369|~spl0_85|~spl0_356|~spl0_126),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3573,f3570,f636,f3223,f947])).
% 4.86/0.98  fof(f3599,plain,(
% 4.86/0.98    spl0_370 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3602,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)|~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),v_S,tc_set(t_a))|~spl0_85)),
% 4.86/0.98    inference(resolution,[status(thm)],[f649,f573])).
% 4.86/0.98  fof(f3603,plain,(
% 4.86/0.98    spl0_370|~spl0_85|~spl0_356),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3602,f3599,f636,f3223])).
% 4.86/0.98  fof(f3604,plain,(
% 4.86/0.98    spl0_371 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3665,plain,(
% 4.86/0.98    spl0_372 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3668,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),v_S,tc_set(t_a))|~spl0_103)),
% 4.86/0.98    inference(resolution,[status(thm)],[f777,f573])).
% 4.86/0.98  fof(f3669,plain,(
% 4.86/0.98    spl0_372|~spl0_103|~spl0_358),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3668,f3665,f764,f3274])).
% 4.86/0.98  fof(f3670,plain,(
% 4.86/0.98    spl0_373 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3772,plain,(
% 4.86/0.98    spl0_374 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3775,plain,(
% 4.86/0.98    ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a)|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),v_S,tc_set(t_a))|~spl0_144)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1071,f573])).
% 4.86/0.98  fof(f3776,plain,(
% 4.86/0.98    spl0_374|~spl0_144|~spl0_365),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3775,f3772,f1058,f3463])).
% 4.86/0.98  fof(f3777,plain,(
% 4.86/0.98    spl0_375 <=> ~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a)|c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3805,plain,(
% 4.86/0.98    spl0_376 <=> c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),tc_set(t_a))|c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),tc_set(t_a))),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3808,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_y)))),v_S,tc_set(t_a))|~c_in(v_x(v_y),v_S,tc_set(t_a))|c_lessequals(v_c,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_c,X0,tc_set(t_a)),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),tc_set(t_a))|~spl0_3)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1568,f233])).
% 4.86/0.98  fof(f3809,plain,(
% 4.86/0.98    spl0_376|~spl0_45|~spl0_9|~spl0_3),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3808,f3805,f335,f108,f77])).
% 4.86/0.98  fof(f3855,plain,(
% 4.86/0.98    spl0_377 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3858,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),v_S,tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a)|~spl0_144)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1568,f1071])).
% 4.86/0.98  fof(f3859,plain,(
% 4.86/0.98    spl0_377|~spl0_365|~spl0_144),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3858,f3855,f3463,f1058])).
% 4.86/0.98  fof(f3860,plain,(
% 4.86/0.98    spl0_378 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))))),t_a),v_y,t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3863,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))),v_S,tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))))),t_a),v_y,t_a)|~spl0_140)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1568,f1046])).
% 4.86/0.98  fof(f3864,plain,(
% 4.86/0.98    spl0_378|~spl0_365|~spl0_144|~spl0_140),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3863,f3860,f3463,f1058,f1041])).
% 4.86/0.98  fof(f3865,plain,(
% 4.86/0.98    spl0_379 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3868,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),v_S,tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)|~spl0_103)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1568,f777])).
% 4.86/0.98  fof(f3869,plain,(
% 4.86/0.98    spl0_379|~spl0_358|~spl0_103),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3868,f3865,f3274,f764])).
% 4.86/0.98  fof(f3870,plain,(
% 4.86/0.98    spl0_380 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))))),t_a),v_x(v_x(v_y)),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3873,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),v_S,tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))))),t_a),v_x(v_x(v_y)),t_a)|~spl0_189)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1568,f1432])).
% 4.86/0.98  fof(f3874,plain,(
% 4.86/0.98    spl0_380|~spl0_358|~spl0_103|~spl0_189),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3873,f3870,f3274,f764,f1425])).
% 4.86/0.98  fof(f3875,plain,(
% 4.86/0.98    spl0_381 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))))),t_a),v_x(v_y),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3878,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))),v_S,tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))))),t_a),v_x(v_y),t_a)|~spl0_121)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1568,f911])).
% 4.86/0.98  fof(f3879,plain,(
% 4.86/0.98    spl0_381|~spl0_358|~spl0_103|~spl0_121),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3878,f3875,f3274,f764,f906])).
% 4.86/0.98  fof(f3887,plain,(
% 4.86/0.98    spl0_383 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3890,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),v_S,tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)|~spl0_85)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1568,f649])).
% 4.86/0.98  fof(f3891,plain,(
% 4.86/0.98    spl0_383|~spl0_356|~spl0_85),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3890,f3887,f3223,f636])).
% 4.86/0.98  fof(f3892,plain,(
% 4.86/0.98    spl0_384 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),t_a),v_x(v_x(v_x(v_x(v_y)))),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3895,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),v_S,tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),t_a),v_x(v_x(v_x(v_x(v_y)))),t_a)|~spl0_126)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1568,f958])).
% 4.86/0.98  fof(f3896,plain,(
% 4.86/0.98    spl0_384|~spl0_356|~spl0_85|~spl0_126),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3895,f3892,f3223,f636,f947])).
% 4.86/0.98  fof(f3897,plain,(
% 4.86/0.98    spl0_385 <=> c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),t_a),v_x(v_x(v_x(v_y))),t_a)),
% 4.86/0.98    introduced(split_symbol_definition)).
% 4.86/0.98  fof(f3900,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))),v_S,tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),t_a),v_x(v_x(v_x(v_y))),t_a)|~spl0_117)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1568,f885])).
% 4.86/0.98  fof(f3901,plain,(
% 4.86/0.98    spl0_385|~spl0_356|~spl0_85|~spl0_117),
% 4.86/0.98    inference(split_clause,[status(thm)],[f3900,f3897,f3223,f636,f876])).
% 4.86/0.98  fof(f4039,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))),t_a)|~spl0_144)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1581,f1071])).
% 4.86/0.98  fof(f4040,plain,(
% 4.86/0.98    spl0_375|~spl0_144),
% 4.86/0.98    inference(split_clause,[status(thm)],[f4039,f3777,f1058])).
% 4.86/0.98  fof(f4043,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y))))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))),t_a)|~spl0_103)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1581,f777])).
% 4.86/0.98  fof(f4044,plain,(
% 4.86/0.98    spl0_373|~spl0_103),
% 4.86/0.98    inference(split_clause,[status(thm)],[f4043,f3670,f764])).
% 4.86/0.98  fof(f4053,plain,(
% 4.86/0.98    ![X0]: (c_lessequals(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),tc_set(t_a))|~c_in(v_x(v_x(v_x(v_x(v_x(v_y))))),v_S,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(X0,v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_x(v_y)))))))))))),t_a),v_x(v_x(v_x(v_x(v_x(v_y))))),t_a)|~spl0_85)),
% 4.86/0.98    inference(resolution,[status(thm)],[f1581,f649])).
% 4.86/0.99  fof(f4054,plain,(
% 4.86/0.99    spl0_371|~spl0_85),
% 4.86/0.99    inference(split_clause,[status(thm)],[f4053,f3604,f636])).
% 4.86/0.99  fof(f4071,plain,(
% 4.86/0.99    ![X0,X1]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_x(v_y),tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_x(v_y),tc_set(t_a))|~spl0_136)),
% 4.86/0.99    inference(resolution,[status(thm)],[f1622,f51])).
% 4.86/0.99  fof(f4072,plain,(
% 4.86/0.99    ![X0,X1]: (~c_in(X0,X1,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_x(v_y),tc_set(t_a))|~spl0_136)),
% 4.86/0.99    inference(duplicate_literals_removal,[status(esa)],[f4071])).
% 4.86/0.99  fof(f4099,plain,(
% 4.86/0.99    ![X0,X1]: (~c_in(X0,v_x(v_y),t_a)|c_in(X0,v_y,t_a)|~c_in(v_x(v_y),v_S,tc_set(t_a))|~c_in(X1,v_x(v_y),t_a)|c_in(X1,v_y,t_a)|~c_in(v_x(v_y),v_S,tc_set(t_a))|~spl0_136|~spl0_137)),
% 4.86/0.99    inference(resolution,[status(thm)],[f4072,f1022])).
% 4.86/0.99  fof(f4100,plain,(
% 4.86/0.99    spl0_205|~spl0_9|~spl0_136|~spl0_137),
% 4.86/0.99    inference(split_clause,[status(thm)],[f4099,f1610,f108,f1016,f1021])).
% 4.86/0.99  fof(f4105,plain,(
% 4.86/0.99    $false),
% 4.86/0.99    inference(sat_refutation,[status(thm)],[f58,f67,f84,f86,f95,f112,f114,f128,f137,f142,f155,f170,f187,f191,f197,f202,f210,f240,f257,f261,f267,f272,f280,f290,f296,f322,f339,f343,f349,f354,f362,f385,f390,f399,f413,f420,f432,f442,f447,f452,f457,f505,f526,f531,f536,f541,f594,f596,f610,f612,f614,f623,f640,f648,f654,f659,f664,f669,f677,f694,f724,f738,f751,f768,f776,f782,f787,f792,f797,f805,f817,f831,f836,f873,f880,f882,f884,f898,f900,f902,f904,f910,f924,f937,f940,f942,f944,f951,f979,f981,f987,f993,f999,f1005,f1020,f1025,f1045,f1062,f1070,f1102,f1107,f1112,f1117,f1370,f1429,f1440,f1445,f1447,f1486,f1491,f1496,f1515,f1524,f1540,f1617,f1625,f1627,f1656,f1675,f2215,f2235,f2472,f2759,f3292,f3314,f3417,f3419,f3439,f3451,f3453,f3455,f3457,f3467,f3472,f3477,f3479,f3484,f3486,f3488,f3562,f3574,f3603,f3669,f3776,f3809,f3859,f3864,f3869,f3874,f3879,f3891,f3896,f3901,f4040,f4044,f4054,f4100])).
% 4.86/0.99  % SZS output end CNFRefutation for theBenchmark.p
% 4.86/0.99  % Elapsed time: 0.641854 seconds
% 4.86/0.99  % CPU time: 4.957882 seconds
% 4.86/0.99  % Memory used: 133.794 MB
%------------------------------------------------------------------------------