TSTP Solution File: SET861-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET861-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 5.18s 1.08s
% Output : CNFRefutation 5.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET861-2 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n025.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 10:24:27 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 5.18/1.08 % Refutation found
% 5.18/1.08 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.18/1.08 % SZS output start CNFRefutation for theBenchmark
% 5.18/1.08 fof(f1,axiom,(
% 5.18/1.08 (![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 ) ))),
% 5.18/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.18/1.08 fof(f2,axiom,(
% 5.18/1.08 (![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) ) ))),
% 5.18/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.18/1.08 fof(f3,axiom,(
% 5.18/1.08 (![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)) ) ))),
% 5.18/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.18/1.08 fof(f4,axiom,(
% 5.18/1.08 (![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)) ) ))),
% 5.18/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.18/1.08 fof(f5,axiom,(
% 5.18/1.08 (![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))) ) ))),
% 5.18/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.18/1.08 fof(f6,axiom,(
% 5.18/1.08 (![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))) ) ))),
% 5.18/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.18/1.08 fof(f7,axiom,(
% 5.18/1.08 (![V_S,T_a]: (c_in(c_Zorn_OHausdorff__1(V_S,T_a),c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a))) ))),
% 5.18/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.18/1.08 fof(f8,axiom,(
% 5.18/1.08 (![V_S,T_a]: (c_lessequals(c_Zorn_Omaxchain(V_S,T_a),c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(tc_set(T_a)))) ))),
% 5.18/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.18/1.08 fof(f9,axiom,(
% 5.18/1.08 (![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)) ) ))),
% 5.18/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.18/1.08 fof(f10,axiom,(
% 5.18/1.08 (![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) ) ))),
% 5.18/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.18/1.08 fof(f11,negated_conjecture,(
% 5.18/1.08 (![V_U]: (( c_in(v_x(V_U),v_S,tc_set(t_a))| ~ c_in(V_U,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ) ))),
% 5.18/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.18/1.08 fof(f12,negated_conjecture,(
% 5.18/1.08 (![V_U]: (( c_in(v_xa(V_U),v_S,tc_set(t_a))| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 5.18/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.18/1.08 fof(f13,negated_conjecture,(
% 5.18/1.08 (![V_U]: (( c_lessequals(V_U,v_xa(V_U),tc_set(t_a))| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 5.18/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.18/1.08 fof(f14,negated_conjecture,(
% 5.18/1.08 (![V_U]: (( V_U != v_xa(V_U)| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 5.18/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.18/1.08 fof(f15,negated_conjecture,(
% 5.18/1.08 (![V_V,V_U]: (( c_lessequals(V_V,v_x(V_U),tc_set(t_a))| ~ c_in(V_V,V_U,tc_set(t_a))| ~ c_in(V_U,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ) ))),
% 5.18/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.18/1.08 fof(f16,plain,(
% 5.18/1.08 ![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)),
% 5.18/1.08 inference(miniscoping,[status(esa)],[f1])).
% 5.18/1.08 fof(f17,plain,(
% 5.18/1.08 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 5.18/1.08 inference(cnf_transformation,[status(esa)],[f16])).
% 5.18/1.08 fof(f18,plain,(
% 5.18/1.08 ![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))),
% 5.18/1.08 inference(miniscoping,[status(esa)],[f2])).
% 5.18/1.08 fof(f19,plain,(
% 5.18/1.08 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 5.18/1.08 inference(cnf_transformation,[status(esa)],[f18])).
% 5.18/1.08 fof(f20,plain,(
% 5.18/1.08 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 5.18/1.08 inference(cnf_transformation,[status(esa)],[f3])).
% 5.18/1.08 fof(f21,plain,(
% 5.18/1.08 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 5.18/1.08 inference(cnf_transformation,[status(esa)],[f4])).
% 5.18/1.08 fof(f22,plain,(
% 5.18/1.08 ![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))))),
% 5.18/1.08 inference(cnf_transformation,[status(esa)],[f5])).
% 5.18/1.08 fof(f23,plain,(
% 5.18/1.08 ![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))))),
% 5.18/1.08 inference(cnf_transformation,[status(esa)],[f6])).
% 5.18/1.08 fof(f24,plain,(
% 5.18/1.08 ![X0,X1]: (c_in(c_Zorn_OHausdorff__1(X0,X1),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(X1))))),
% 5.18/1.08 inference(cnf_transformation,[status(esa)],[f7])).
% 5.18/1.08 fof(f25,plain,(
% 5.18/1.08 ![X0,X1]: (c_lessequals(c_Zorn_Omaxchain(X0,X1),c_Zorn_Ochain(X0,X1),tc_set(tc_set(tc_set(X1)))))),
% 5.18/1.08 inference(cnf_transformation,[status(esa)],[f8])).
% 5.18/1.08 fof(f26,plain,(
% 5.18/1.08 ![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)))),
% 5.18/1.08 inference(miniscoping,[status(esa)],[f9])).
% 5.18/1.08 fof(f27,plain,(
% 5.18/1.08 ![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)))),
% 5.18/1.08 inference(cnf_transformation,[status(esa)],[f26])).
% 5.18/1.08 fof(f28,plain,(
% 5.18/1.08 ![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))),
% 5.18/1.08 inference(miniscoping,[status(esa)],[f10])).
% 5.18/1.08 fof(f29,plain,(
% 5.18/1.08 ![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))),
% 5.18/1.08 inference(cnf_transformation,[status(esa)],[f28])).
% 5.18/1.08 fof(f30,plain,(
% 5.18/1.08 ![X0]: (c_in(v_x(X0),v_S,tc_set(t_a))|~c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))))),
% 5.18/1.08 inference(cnf_transformation,[status(esa)],[f11])).
% 5.18/1.08 fof(f31,plain,(
% 5.18/1.08 ![X0]: (c_in(v_xa(X0),v_S,tc_set(t_a))|~c_in(X0,v_S,tc_set(t_a)))),
% 5.18/1.08 inference(cnf_transformation,[status(esa)],[f12])).
% 5.18/1.08 fof(f32,plain,(
% 5.18/1.08 ![X0]: (c_lessequals(X0,v_xa(X0),tc_set(t_a))|~c_in(X0,v_S,tc_set(t_a)))),
% 5.18/1.08 inference(cnf_transformation,[status(esa)],[f13])).
% 5.18/1.08 fof(f33,plain,(
% 5.18/1.08 ![X0]: (~X0=v_xa(X0)|~c_in(X0,v_S,tc_set(t_a)))),
% 5.18/1.08 inference(cnf_transformation,[status(esa)],[f14])).
% 5.18/1.08 fof(f34,plain,(
% 5.18/1.08 ![V_U]: ((![V_V]: (c_lessequals(V_V,v_x(V_U),tc_set(t_a))|~c_in(V_V,V_U,tc_set(t_a))))|~c_in(V_U,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))))),
% 5.18/1.08 inference(miniscoping,[status(esa)],[f15])).
% 5.18/1.08 fof(f35,plain,(
% 5.18/1.08 ![X0,X1]: (c_lessequals(X0,v_x(X1),tc_set(t_a))|~c_in(X0,X1,tc_set(t_a))|~c_in(X1,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))))),
% 5.18/1.08 inference(cnf_transformation,[status(esa)],[f34])).
% 5.18/1.08 fof(f38,plain,(
% 5.18/1.08 ![X0,X1]: (~c_in(X0,X1,t_a)|c_in(X0,v_xa(X1),t_a)|~c_in(X1,v_S,tc_set(t_a)))),
% 5.18/1.08 inference(resolution,[status(thm)],[f19,f32])).
% 5.18/1.08 fof(f54,plain,(
% 5.18/1.08 ![X0,X1,X2]: (~c_in(X0,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2)))|c_in(X0,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))))),
% 5.18/1.08 inference(resolution,[status(thm)],[f25,f19])).
% 5.18/1.08 fof(f57,plain,(
% 5.18/1.08 ![X0,X1]: (c_in(c_Zorn_OHausdorff__1(X0,X1),c_Zorn_Ochain(X0,X1),tc_set(tc_set(X1))))),
% 5.18/1.08 inference(resolution,[status(thm)],[f54,f24])).
% 5.18/1.08 fof(f58,plain,(
% 5.18/1.08 ![X0]: (c_lessequals(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))|~c_in(X0,c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)))),
% 5.18/1.08 inference(resolution,[status(thm)],[f57,f35])).
% 5.18/1.08 fof(f59,plain,(
% 5.18/1.08 c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))),
% 5.18/1.08 inference(resolution,[status(thm)],[f57,f30])).
% 5.18/1.08 fof(f60,plain,(
% 5.18/1.08 ![X0]: (~c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|c_in(X0,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a))),
% 5.18/1.08 inference(resolution,[status(thm)],[f59,f38])).
% 5.18/1.08 fof(f64,plain,(
% 5.18/1.08 spl0_1 <=> c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))),
% 5.18/1.08 introduced(split_symbol_definition)).
% 5.18/1.08 fof(f66,plain,(
% 5.18/1.08 ~c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))|spl0_1),
% 5.18/1.08 inference(component_clause,[status(thm)],[f64])).
% 5.18/1.08 fof(f69,plain,(
% 5.18/1.08 ![X0,X1]: (~c_in(X0,c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))|~c_in(X1,X0,t_a)|c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a))),
% 5.18/1.08 inference(resolution,[status(thm)],[f58,f19])).
% 5.18/1.08 fof(f71,plain,(
% 5.18/1.08 ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|c_lessequals(X0,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a)))),
% 5.18/1.08 inference(resolution,[status(thm)],[f60,f21])).
% 5.18/1.08 fof(f86,plain,(
% 5.18/1.08 spl0_4 <=> v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))=v_x(c_Zorn_OHausdorff__1(v_S,t_a))),
% 5.18/1.08 introduced(split_symbol_definition)).
% 5.18/1.08 fof(f87,plain,(
% 5.18/1.08 v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))=v_x(c_Zorn_OHausdorff__1(v_S,t_a))|~spl0_4),
% 5.18/1.08 inference(component_clause,[status(thm)],[f86])).
% 5.18/1.08 fof(f106,plain,(
% 5.18/1.08 $false|spl0_1),
% 5.18/1.08 inference(forward_subsumption_resolution,[status(thm)],[f66,f59])).
% 5.18/1.08 fof(f107,plain,(
% 5.18/1.08 spl0_1),
% 5.18/1.08 inference(contradiction_clause,[status(thm)],[f106])).
% 5.18/1.08 fof(f114,plain,(
% 5.18/1.08 ![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)))),
% 5.18/1.08 inference(resolution,[status(thm)],[f27,f23])).
% 5.18/1.08 fof(f115,plain,(
% 5.18/1.08 ![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_lessequals(c_Zorn_Ochain__extend__1(X3,X1,X2),X1,tc_set(X2)))),
% 5.18/1.08 inference(forward_subsumption_resolution,[status(thm)],[f114,f54])).
% 5.18/1.08 fof(f116,plain,(
% 5.18/1.08 ![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)))),
% 5.18/1.08 inference(resolution,[status(thm)],[f27,f22])).
% 5.18/1.08 fof(f117,plain,(
% 5.18/1.08 ![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(c_Zorn_Ochain__extend__1(X3,X1,X2),X3,tc_set(X2)))),
% 5.18/1.08 inference(forward_subsumption_resolution,[status(thm)],[f116,f54])).
% 5.18/1.08 fof(f140,plain,(
% 5.18/1.08 spl0_11 <=> c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))),
% 5.18/1.08 introduced(split_symbol_definition)).
% 5.18/1.08 fof(f142,plain,(
% 5.18/1.08 ~c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))|spl0_11),
% 5.18/1.08 inference(component_clause,[status(thm)],[f140])).
% 5.18/1.08 fof(f145,plain,(
% 5.18/1.08 ~c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))|spl0_11),
% 5.18/1.08 inference(resolution,[status(thm)],[f142,f31])).
% 5.18/1.08 fof(f146,plain,(
% 5.18/1.08 ~spl0_1|spl0_11),
% 5.18/1.08 inference(split_clause,[status(thm)],[f145,f64,f140])).
% 5.18/1.08 fof(f323,plain,(
% 5.18/1.08 spl0_41 <=> c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))),
% 5.18/1.08 introduced(split_symbol_definition)).
% 5.18/1.08 fof(f324,plain,(
% 5.18/1.08 c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))|~spl0_41),
% 5.18/1.08 inference(component_clause,[status(thm)],[f323])).
% 5.18/1.08 fof(f326,plain,(
% 5.18/1.08 c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))|c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))),
% 5.18/1.08 inference(resolution,[status(thm)],[f71,f20])).
% 5.18/1.08 fof(f327,plain,(
% 5.18/1.08 spl0_41),
% 5.18/1.08 inference(split_clause,[status(thm)],[f326,f323])).
% 5.18/1.08 fof(f423,plain,(
% 5.18/1.08 ![X0,X1,X2,X3,X4]: (~c_in(X0,X1,X2)|c_in(X0,X3,X2)|c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X4,X2),X3,X2),c_Zorn_OHausdorff__1(X4,X2),tc_set(X2))|~c_in(X1,X4,tc_set(X2))|~c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X4,X2),X1,X2),X1,tc_set(X2)))),
% 5.18/1.08 inference(resolution,[status(thm)],[f115,f24])).
% 5.18/1.08 fof(f426,plain,(
% 5.18/1.08 ![X0,X1,X2,X3,X4]: (~c_in(X0,X1,X2)|c_in(X0,X3,X2)|c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X4,X2),X3,X2),c_Zorn_OHausdorff__1(X4,X2),tc_set(X2))|~c_in(X1,X4,tc_set(X2))|c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X4,X2),X1,X2),c_Zorn_OHausdorff__1(X4,X2),tc_set(X2)))),
% 5.18/1.08 inference(resolution,[status(thm)],[f117,f24])).
% 5.18/1.08 fof(f475,plain,(
% 5.18/1.08 ![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)))),
% 5.18/1.08 inference(resolution,[status(thm)],[f29,f23])).
% 5.18/1.08 fof(f476,plain,(
% 5.18/1.08 ![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_lessequals(c_Zorn_Ochain__extend__1(X3,X1,X2),X1,tc_set(X2)))),
% 5.18/1.08 inference(forward_subsumption_resolution,[status(thm)],[f475,f54])).
% 5.18/1.08 fof(f477,plain,(
% 5.18/1.08 ![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)))),
% 5.18/1.08 inference(resolution,[status(thm)],[f29,f22])).
% 5.18/1.08 fof(f478,plain,(
% 5.18/1.08 ![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(c_Zorn_Ochain__extend__1(X3,X1,X2),X3,tc_set(X2)))),
% 5.18/1.08 inference(forward_subsumption_resolution,[status(thm)],[f477,f54])).
% 5.18/1.08 fof(f480,plain,(
% 5.18/1.08 ![X0,X1,X2,X3,X4]: (~c_in(X0,X1,X2)|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X3,X2),X4,X2),X4,tc_set(X2))|c_in(X0,X4,X2)|~c_in(X1,X3,tc_set(X2))|~c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X3,X2),X1,X2),X1,tc_set(X2)))),
% 5.18/1.08 inference(resolution,[status(thm)],[f476,f24])).
% 5.18/1.08 fof(f483,plain,(
% 5.18/1.08 ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~c_in(X1,X2,tc_set(t_a))|~c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X2,t_a),X1,t_a),X1,tc_set(t_a))|~c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X2,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)))),
% 5.18/1.08 inference(resolution,[status(thm)],[f480,f58])).
% 5.18/1.08 fof(f486,plain,(
% 5.18/1.08 ![X0,X1,X2,X3,X4]: (~c_in(X0,X1,X2)|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X3,X2),X4,X2),X4,tc_set(X2))|c_in(X0,X4,X2)|~c_in(X1,X3,tc_set(X2))|c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X3,X2),X1,X2),c_Zorn_OHausdorff__1(X3,X2),tc_set(X2)))),
% 5.18/1.08 inference(resolution,[status(thm)],[f478,f24])).
% 5.18/1.08 fof(f487,plain,(
% 5.18/1.08 ![X0,X1,X2,X3]: (~c_in(X0,X1,t_a)|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),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(X3,c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),t_a)|c_in(X3,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a))),
% 5.18/1.08 inference(resolution,[status(thm)],[f486,f69])).
% 5.18/1.08 fof(f502,plain,(
% 5.18/1.08 spl0_54 <=> c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))),
% 5.18/1.08 introduced(split_symbol_definition)).
% 5.18/1.08 fof(f505,plain,(
% 5.18/1.08 ~c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))|v_x(c_Zorn_OHausdorff__1(v_S,t_a))=v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))|~spl0_41),
% 5.18/1.08 inference(resolution,[status(thm)],[f324,f17])).
% 5.18/1.08 fof(f506,plain,(
% 5.18/1.08 ~spl0_54|spl0_4|~spl0_41),
% 5.18/1.08 inference(split_clause,[status(thm)],[f505,f502,f86,f323])).
% 5.18/1.08 fof(f1485,plain,(
% 5.18/1.08 spl0_155 <=> ~c_in(X0,X1,t_a)|c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_in(X2,c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),t_a)|c_in(X2,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)),
% 5.18/1.08 introduced(split_symbol_definition)).
% 5.18/1.08 fof(f1486,plain,(
% 5.18/1.08 ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_in(X2,c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),t_a)|c_in(X2,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~spl0_155)),
% 5.18/1.08 inference(component_clause,[status(thm)],[f1485])).
% 5.18/1.08 fof(f1488,plain,(
% 5.18/1.08 spl0_156 <=> c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))),
% 5.18/1.08 introduced(split_symbol_definition)).
% 5.18/1.08 fof(f1490,plain,(
% 5.18/1.08 ~c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))|spl0_156),
% 5.18/1.08 inference(component_clause,[status(thm)],[f1488])).
% 5.18/1.08 fof(f1491,plain,(
% 5.18/1.08 ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_in(X2,c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),t_a)|c_in(X2,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)))),
% 5.18/1.08 inference(resolution,[status(thm)],[f487,f58])).
% 5.18/1.08 fof(f1492,plain,(
% 5.18/1.08 spl0_155|~spl0_156),
% 5.18/1.08 inference(split_clause,[status(thm)],[f1491,f1485,f1488])).
% 5.18/1.08 fof(f1631,plain,(
% 5.18/1.08 spl0_166 <=> ~c_in(X0,X1,t_a)|c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),X1,tc_set(t_a))),
% 5.18/1.08 introduced(split_symbol_definition)).
% 5.18/1.08 fof(f1632,plain,(
% 5.18/1.08 ![X0,X1]: (~c_in(X0,X1,t_a)|c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),X1,tc_set(t_a))|~spl0_166)),
% 5.18/1.08 inference(component_clause,[status(thm)],[f1631])).
% 5.18/1.08 fof(f1639,plain,(
% 5.18/1.08 ![X0,X1,X2,X3]: (~c_in(X0,X1,t_a)|c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),X1,tc_set(t_a))|~c_in(X2,X3,t_a)|c_in(X2,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~c_in(X3,v_S,tc_set(t_a))|~c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X3,t_a),X3,tc_set(t_a)))),
% 5.18/1.08 inference(resolution,[status(thm)],[f483,f423])).
% 5.18/1.08 fof(f1640,plain,(
% 5.18/1.08 spl0_166),
% 5.18/1.08 inference(split_clause,[status(thm)],[f1639,f1631])).
% 5.18/1.08 fof(f1791,plain,(
% 5.18/1.08 ![X0,X1]: (~c_in(X0,X1,t_a)|c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~c_in(X1,v_S,tc_set(t_a))|c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))|spl0_156)),
% 5.18/1.08 inference(resolution,[status(thm)],[f1490,f426])).
% 5.18/1.08 fof(f1827,plain,(
% 5.18/1.08 ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~c_in(X1,v_S,tc_set(t_a))|~c_in(X2,c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),t_a)|c_in(X2,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|spl0_156)),
% 5.18/1.08 inference(resolution,[status(thm)],[f1791,f69])).
% 5.18/1.08 fof(f1828,plain,(
% 5.18/1.08 ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~c_in(X1,v_S,tc_set(t_a))|c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),X2,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),X2,tc_set(t_a))|spl0_156)),
% 5.18/1.08 inference(resolution,[status(thm)],[f1827,f20])).
% 5.18/1.08 fof(f2735,plain,(
% 5.18/1.08 ![X0,X1]: (~c_in(X0,X1,t_a)|c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))|spl0_156)),
% 5.18/1.08 inference(resolution,[status(thm)],[f1828,f71])).
% 5.18/1.08 fof(f2736,plain,(
% 5.18/1.08 ![X0,X1]: (~c_in(X0,X1,t_a)|c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))|spl0_156)),
% 5.18/1.08 inference(duplicate_literals_removal,[status(esa)],[f2735])).
% 5.18/1.08 fof(f3221,plain,(
% 5.18/1.08 ![X0,X1,X2]: (~c_in(X0,X1,t_a)|c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~c_in(X1,v_S,tc_set(t_a))|c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),X2,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),X2,tc_set(t_a))|~spl0_155)),
% 5.18/1.08 inference(resolution,[status(thm)],[f1486,f20])).
% 5.18/1.08 fof(f3305,plain,(
% 5.18/1.08 ![X0,X1]: (~c_in(X0,X1,t_a)|c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))|~spl0_155)),
% 5.18/1.08 inference(resolution,[status(thm)],[f3221,f71])).
% 5.18/1.08 fof(f3306,plain,(
% 5.18/1.08 ![X0,X1]: (~c_in(X0,X1,t_a)|c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~c_in(X1,v_S,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))|~spl0_155)),
% 5.18/1.08 inference(duplicate_literals_removal,[status(esa)],[f3305])).
% 5.18/1.08 fof(f3335,plain,(
% 5.18/1.08 spl0_328 <=> ~c_in(X0,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)|c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)),
% 5.18/1.08 introduced(split_symbol_definition)).
% 5.18/1.08 fof(f3336,plain,(
% 5.18/1.08 ![X0]: (~c_in(X0,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)|c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~spl0_328)),
% 5.18/1.08 inference(component_clause,[status(thm)],[f3335])).
% 5.18/1.08 fof(f3338,plain,(
% 5.18/1.08 ![X0,X1]: (~c_in(X0,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)|c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))|~c_in(X1,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)|c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))|spl0_156|~spl0_166)),
% 5.18/1.08 inference(resolution,[status(thm)],[f2736,f1632])).
% 5.18/1.08 fof(f3339,plain,(
% 5.18/1.08 spl0_328|~spl0_11|spl0_156|~spl0_166),
% 5.18/1.08 inference(split_clause,[status(thm)],[f3338,f3335,f140,f1488,f1631])).
% 5.18/1.08 fof(f3355,plain,(
% 5.18/1.08 ![X0,X1]: (~c_in(X0,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)|c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))|~c_in(X1,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)|c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|~c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))|~spl0_155|~spl0_166)),
% 5.18/1.08 inference(resolution,[status(thm)],[f3306,f1632])).
% 5.18/1.08 fof(f3356,plain,(
% 5.18/1.08 spl0_328|~spl0_11|~spl0_155|~spl0_166),
% 5.18/1.08 inference(split_clause,[status(thm)],[f3355,f3335,f140,f1485,f1631])).
% 5.18/1.09 fof(f3362,plain,(
% 5.18/1.09 ![X0]: (c_in(c_Main_OsubsetI__1(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),X0,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)|c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),X0,tc_set(t_a))|~spl0_328)),
% 5.18/1.09 inference(resolution,[status(thm)],[f3336,f20])).
% 5.18/1.09 fof(f3378,plain,(
% 5.18/1.09 c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))|c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))|~spl0_328),
% 5.18/1.09 inference(resolution,[status(thm)],[f3362,f21])).
% 5.18/1.09 fof(f3379,plain,(
% 5.18/1.09 spl0_54|~spl0_328),
% 5.18/1.09 inference(split_clause,[status(thm)],[f3378,f502,f3335])).
% 5.18/1.09 fof(f4105,plain,(
% 5.18/1.09 ~c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))|~spl0_4),
% 5.18/1.09 inference(resolution,[status(thm)],[f87,f33])).
% 5.18/1.09 fof(f4106,plain,(
% 5.18/1.09 ~spl0_1|~spl0_4),
% 5.18/1.09 inference(split_clause,[status(thm)],[f4105,f64,f86])).
% 5.18/1.09 fof(f4703,plain,(
% 5.18/1.09 $false),
% 5.18/1.09 inference(sat_refutation,[status(thm)],[f107,f146,f327,f506,f1492,f1640,f3339,f3356,f3379,f4106])).
% 5.18/1.09 % SZS output end CNFRefutation for theBenchmark.p
% 5.18/1.13 % Elapsed time: 0.803800 seconds
% 5.18/1.13 % CPU time: 5.614891 seconds
% 5.18/1.13 % Memory used: 125.130 MB
%------------------------------------------------------------------------------