TSTP Solution File: SET863-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET863-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:40:35 EDT 2024
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET863-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 29 21:41:42 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.6.0
% 0.12/0.35 % Refutation found
% 0.12/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.35 fof(f1,axiom,(
% 0.12/0.35 (![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) ) ))),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f2,axiom,(
% 0.12/0.35 (![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)) ) ))),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f3,axiom,(
% 0.12/0.35 (![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)) ) ))),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f4,axiom,(
% 0.12/0.35 (![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))) ) ))),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f5,axiom,(
% 0.12/0.35 (![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))) ) ))),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f6,axiom,(
% 0.12/0.35 (![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)) ) ))),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f7,axiom,(
% 0.12/0.35 (![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) ) ))),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f8,negated_conjecture,(
% 0.12/0.35 c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f9,negated_conjecture,(
% 0.12/0.35 c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f10,negated_conjecture,(
% 0.12/0.35 c_in(v_x,v_S,tc_set(t_a)) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f11,negated_conjecture,(
% 0.12/0.35 c_lessequals(v_y,v_x,tc_set(t_a)) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f12,negated_conjecture,(
% 0.12/0.35 c_in(v_xa,v_x,t_a) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f13,negated_conjecture,(
% 0.12/0.35 ~ c_in(v_xa,v_y,t_a) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f14,negated_conjecture,(
% 0.12/0.35 (![V_U]: (( c_lessequals(V_U,v_y,tc_set(t_a))| ~ c_in(V_U,v_c,tc_set(t_a)) ) ))),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f15,plain,(
% 0.12/0.35 ![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))),
% 0.12/0.35 inference(miniscoping,[status(esa)],[f1])).
% 0.12/0.35 fof(f16,plain,(
% 0.12/0.35 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f15])).
% 0.12/0.35 fof(f17,plain,(
% 0.12/0.35 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f2])).
% 0.12/0.35 fof(f18,plain,(
% 0.12/0.35 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f3])).
% 0.12/0.35 fof(f19,plain,(
% 0.12/0.35 ![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))))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f4])).
% 0.12/0.35 fof(f20,plain,(
% 0.12/0.35 ![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))))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f5])).
% 0.12/0.35 fof(f21,plain,(
% 0.12/0.35 ![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)))),
% 0.12/0.35 inference(miniscoping,[status(esa)],[f6])).
% 0.12/0.35 fof(f22,plain,(
% 0.12/0.35 ![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)))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f21])).
% 0.12/0.35 fof(f23,plain,(
% 0.12/0.35 ![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))),
% 0.12/0.35 inference(miniscoping,[status(esa)],[f7])).
% 0.12/0.35 fof(f24,plain,(
% 0.12/0.35 ![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))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f23])).
% 0.12/0.35 fof(f25,plain,(
% 0.12/0.35 c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f8])).
% 0.12/0.35 fof(f26,plain,(
% 0.12/0.35 c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f9])).
% 0.12/0.35 fof(f27,plain,(
% 0.12/0.35 c_in(v_x,v_S,tc_set(t_a))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f10])).
% 0.12/0.35 fof(f28,plain,(
% 0.12/0.35 c_lessequals(v_y,v_x,tc_set(t_a))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f11])).
% 0.12/0.35 fof(f29,plain,(
% 0.12/0.35 c_in(v_xa,v_x,t_a)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.12/0.35 fof(f30,plain,(
% 0.12/0.35 ~c_in(v_xa,v_y,t_a)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f13])).
% 0.12/0.35 fof(f31,plain,(
% 0.12/0.35 ![X0]: (c_lessequals(X0,v_y,tc_set(t_a))|~c_in(X0,v_c,tc_set(t_a)))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f14])).
% 0.12/0.35 fof(f32,plain,(
% 0.12/0.35 ![X0]: (~c_in(X0,v_y,t_a)|c_in(X0,v_x,t_a))),
% 0.12/0.35 inference(resolution,[status(thm)],[f16,f28])).
% 0.12/0.35 fof(f34,plain,(
% 0.12/0.35 ![X0]: (c_lessequals(v_y,X0,tc_set(t_a))|c_in(c_Main_OsubsetI__1(v_y,X0,t_a),v_x,t_a))),
% 0.12/0.35 inference(resolution,[status(thm)],[f17,f32])).
% 0.12/0.35 fof(f42,plain,(
% 0.12/0.35 spl0_0 <=> c_lessequals(v_y,v_x,tc_set(t_a))),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f45,plain,(
% 0.12/0.35 c_lessequals(v_y,v_x,tc_set(t_a))|c_lessequals(v_y,v_x,tc_set(t_a))),
% 0.12/0.35 inference(resolution,[status(thm)],[f18,f34])).
% 0.12/0.35 fof(f46,plain,(
% 0.12/0.35 spl0_0),
% 0.12/0.35 inference(split_clause,[status(thm)],[f45,f42])).
% 0.12/0.35 fof(f51,plain,(
% 0.12/0.35 ![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)))),
% 0.12/0.35 inference(resolution,[status(thm)],[f22,f20])).
% 0.12/0.35 fof(f52,plain,(
% 0.12/0.35 ![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)))),
% 0.12/0.35 inference(resolution,[status(thm)],[f22,f19])).
% 0.12/0.35 fof(f53,plain,(
% 0.12/0.35 ![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)))),
% 0.12/0.35 inference(resolution,[status(thm)],[f24,f20])).
% 0.12/0.35 fof(f54,plain,(
% 0.12/0.35 ![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)))),
% 0.12/0.35 inference(resolution,[status(thm)],[f24,f19])).
% 0.12/0.35 fof(f56,plain,(
% 0.12/0.35 spl0_1 <=> ~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))),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f57,plain,(
% 0.12/0.35 ![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_1)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f56])).
% 0.12/0.35 fof(f59,plain,(
% 0.12/0.35 spl0_2 <=> c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f61,plain,(
% 0.12/0.35 ~c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))|spl0_2),
% 0.12/0.35 inference(component_clause,[status(thm)],[f59])).
% 0.12/0.35 fof(f62,plain,(
% 0.12/0.35 ![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)))),
% 0.12/0.35 inference(resolution,[status(thm)],[f52,f25])).
% 0.12/0.35 fof(f63,plain,(
% 0.12/0.35 spl0_1|~spl0_2),
% 0.12/0.35 inference(split_clause,[status(thm)],[f62,f56,f59])).
% 0.12/0.35 fof(f64,plain,(
% 0.12/0.35 $false|spl0_2),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f61,f26])).
% 0.12/0.35 fof(f65,plain,(
% 0.12/0.35 spl0_2),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f64])).
% 0.12/0.35 fof(f66,plain,(
% 0.12/0.35 ![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_1)),
% 0.12/0.35 inference(resolution,[status(thm)],[f57,f31])).
% 0.12/0.35 fof(f67,plain,(
% 0.12/0.35 spl0_3 <=> ~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))),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f68,plain,(
% 0.12/0.35 ![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_3)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f67])).
% 0.12/0.35 fof(f70,plain,(
% 0.12/0.35 spl0_4 <=> ~c_in(X2,X3,t_a)|~c_in(v_c,c_Zorn_Omaxchain(X4,t_a),tc_set(tc_set(t_a)))|c_in(X2,v_y,t_a)|~c_in(X3,X4,tc_set(t_a))|~c_in(v_c,c_Zorn_Ochain(X4,t_a),tc_set(tc_set(t_a)))|c_in(c_Zorn_Ochain__extend__1(v_c,X3,t_a),v_c,tc_set(t_a))),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f71,plain,(
% 0.12/0.35 ![X0,X1,X2]: (~c_in(X0,X1,t_a)|~c_in(v_c,c_Zorn_Omaxchain(X2,t_a),tc_set(tc_set(t_a)))|c_in(X0,v_y,t_a)|~c_in(X1,X2,tc_set(t_a))|~c_in(v_c,c_Zorn_Ochain(X2,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))|~spl0_4)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f70])).
% 0.12/0.35 fof(f73,plain,(
% 0.12/0.35 ![X0,X1,X2,X3,X4]: (~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))|~c_in(X2,X3,t_a)|~c_in(v_c,c_Zorn_Omaxchain(X4,t_a),tc_set(tc_set(t_a)))|c_in(X2,v_y,t_a)|~c_in(X3,X4,tc_set(t_a))|~c_in(v_c,c_Zorn_Ochain(X4,t_a),tc_set(tc_set(t_a)))|c_in(c_Zorn_Ochain__extend__1(v_c,X3,t_a),v_c,tc_set(t_a))|~spl0_1)),
% 0.12/0.35 inference(resolution,[status(thm)],[f66,f54])).
% 0.12/0.35 fof(f74,plain,(
% 0.12/0.35 spl0_3|spl0_4|~spl0_1),
% 0.12/0.35 inference(split_clause,[status(thm)],[f73,f67,f70,f56])).
% 0.12/0.35 fof(f81,plain,(
% 0.12/0.35 ![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_3)),
% 0.12/0.35 inference(resolution,[status(thm)],[f68,f31])).
% 0.12/0.35 fof(f101,plain,(
% 0.12/0.35 ![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_3)),
% 0.12/0.35 inference(resolution,[status(thm)],[f81,f16])).
% 0.12/0.35 fof(f103,plain,(
% 0.12/0.35 ![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(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))|~spl0_4)),
% 0.12/0.35 inference(resolution,[status(thm)],[f71,f25])).
% 0.12/0.35 fof(f104,plain,(
% 0.12/0.35 spl0_3|~spl0_2|~spl0_4),
% 0.12/0.35 inference(split_clause,[status(thm)],[f103,f67,f59,f70])).
% 0.12/0.35 fof(f111,plain,(
% 0.12/0.35 ![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_3)),
% 0.12/0.35 inference(resolution,[status(thm)],[f101,f17])).
% 0.12/0.35 fof(f114,plain,(
% 0.12/0.35 ![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_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X2,tc_set(t_a))|c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X2,t_a),v_x,t_a)|~spl0_3)),
% 0.12/0.35 inference(resolution,[status(thm)],[f111,f32])).
% 0.12/0.35 fof(f123,plain,(
% 0.12/0.35 ![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,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_x,tc_set(t_a))|~spl0_3)),
% 0.12/0.35 inference(resolution,[status(thm)],[f114,f18])).
% 0.12/0.35 fof(f124,plain,(
% 0.12/0.35 ![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,tc_set(t_a))|~spl0_3)),
% 0.12/0.35 inference(duplicate_literals_removal,[status(esa)],[f123])).
% 0.12/0.35 fof(f125,plain,(
% 0.12/0.35 spl0_12 <=> ~c_in(X0,v_x,t_a)|c_in(X0,v_y,t_a)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f126,plain,(
% 0.12/0.35 ![X0]: (~c_in(X0,v_x,t_a)|c_in(X0,v_y,t_a)|~spl0_12)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f125])).
% 0.12/0.35 fof(f128,plain,(
% 0.12/0.35 spl0_13 <=> c_in(v_x,v_S,tc_set(t_a))),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f130,plain,(
% 0.12/0.35 ~c_in(v_x,v_S,tc_set(t_a))|spl0_13),
% 0.12/0.35 inference(component_clause,[status(thm)],[f128])).
% 0.12/0.35 fof(f131,plain,(
% 0.12/0.35 spl0_14 <=> ~c_in(X1,v_x,t_a)|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X3,t_a),X3,tc_set(t_a))|c_in(X1,X3,t_a)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f132,plain,(
% 0.12/0.35 ![X0,X1]: (~c_in(X0,v_x,t_a)|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),X1,tc_set(t_a))|c_in(X0,X1,t_a)|~spl0_14)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f131])).
% 0.12/0.35 fof(f134,plain,(
% 0.12/0.35 spl0_15 <=> ~c_in(v_c,c_Zorn_Omaxchain(X2,t_a),tc_set(tc_set(t_a)))|~c_in(v_x,X2,tc_set(t_a))|~c_in(v_c,c_Zorn_Ochain(X2,t_a),tc_set(tc_set(t_a)))),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f135,plain,(
% 0.12/0.35 ![X0]: (~c_in(v_c,c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a)))|~c_in(v_x,X0,tc_set(t_a))|~c_in(v_c,c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))|~spl0_15)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f134])).
% 0.12/0.35 fof(f137,plain,(
% 0.12/0.35 ![X0,X1,X2,X3]: (~c_in(X0,v_x,t_a)|c_in(X0,v_y,t_a)|~c_in(v_x,v_S,tc_set(t_a))|~c_in(X1,v_x,t_a)|~c_in(v_c,c_Zorn_Omaxchain(X2,t_a),tc_set(tc_set(t_a)))|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X3,t_a),X3,tc_set(t_a))|c_in(X1,X3,t_a)|~c_in(v_x,X2,tc_set(t_a))|~c_in(v_c,c_Zorn_Ochain(X2,t_a),tc_set(tc_set(t_a)))|~spl0_3)),
% 0.12/0.35 inference(resolution,[status(thm)],[f124,f53])).
% 0.12/0.35 fof(f138,plain,(
% 0.12/0.35 spl0_12|~spl0_13|spl0_14|spl0_15|~spl0_3),
% 0.12/0.35 inference(split_clause,[status(thm)],[f137,f125,f128,f131,f134,f67])).
% 0.12/0.35 fof(f139,plain,(
% 0.12/0.35 spl0_16 <=> ~c_in(X1,v_x,t_a)|c_in(X1,X3,t_a)|c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X3,t_a),v_c,tc_set(t_a))),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f140,plain,(
% 0.12/0.35 ![X0,X1]: (~c_in(X0,v_x,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_16)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f139])).
% 0.12/0.35 fof(f142,plain,(
% 0.12/0.35 ![X0,X1,X2,X3]: (~c_in(X0,v_x,t_a)|c_in(X0,v_y,t_a)|~c_in(v_x,v_S,tc_set(t_a))|~c_in(X1,v_x,t_a)|~c_in(v_c,c_Zorn_Omaxchain(X2,t_a),tc_set(tc_set(t_a)))|c_in(X1,X3,t_a)|c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X3,t_a),v_c,tc_set(t_a))|~c_in(v_x,X2,tc_set(t_a))|~c_in(v_c,c_Zorn_Ochain(X2,t_a),tc_set(tc_set(t_a)))|~spl0_3)),
% 0.12/0.35 inference(resolution,[status(thm)],[f124,f51])).
% 0.12/0.35 fof(f143,plain,(
% 0.12/0.35 spl0_12|~spl0_13|spl0_16|spl0_15|~spl0_3),
% 0.12/0.35 inference(split_clause,[status(thm)],[f142,f125,f128,f139,f134,f67])).
% 0.12/0.35 fof(f145,plain,(
% 0.12/0.35 $false|spl0_13),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f130,f27])).
% 0.12/0.35 fof(f146,plain,(
% 0.12/0.35 spl0_13),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f145])).
% 0.12/0.35 fof(f149,plain,(
% 0.12/0.35 ~c_in(v_x,v_S,tc_set(t_a))|~c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))|~spl0_15),
% 0.12/0.35 inference(resolution,[status(thm)],[f135,f25])).
% 0.12/0.35 fof(f150,plain,(
% 0.12/0.35 ~spl0_13|~spl0_2|~spl0_15),
% 0.12/0.35 inference(split_clause,[status(thm)],[f149,f128,f59,f134])).
% 0.12/0.35 fof(f155,plain,(
% 0.12/0.35 c_in(v_xa,v_y,t_a)|~spl0_12),
% 0.12/0.35 inference(resolution,[status(thm)],[f126,f29])).
% 0.12/0.35 fof(f156,plain,(
% 0.12/0.35 $false|~spl0_12),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f155,f30])).
% 0.12/0.35 fof(f157,plain,(
% 0.12/0.35 ~spl0_12),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f156])).
% 0.12/0.35 fof(f158,plain,(
% 0.12/0.35 ![X0,X1,X2]: (~c_in(X0,v_x,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_14|~spl0_1)),
% 0.12/0.35 inference(resolution,[status(thm)],[f132,f66])).
% 0.12/0.35 fof(f159,plain,(
% 0.12/0.35 spl0_12|spl0_3|~spl0_14|~spl0_1),
% 0.12/0.35 inference(split_clause,[status(thm)],[f158,f125,f67,f131,f56])).
% 0.12/0.35 fof(f160,plain,(
% 0.12/0.35 ![X0,X1]: (~c_in(X0,v_x,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_16)),
% 0.12/0.35 inference(resolution,[status(thm)],[f140,f31])).
% 0.12/0.35 fof(f161,plain,(
% 0.12/0.35 ![X0,X1]: (~c_in(X0,v_x,t_a)|c_in(X0,v_y,t_a)|~c_in(X1,v_x,t_a)|c_in(X1,v_y,t_a)|~spl0_16|~spl0_14)),
% 0.12/0.35 inference(resolution,[status(thm)],[f160,f132])).
% 0.12/0.35 fof(f162,plain,(
% 0.12/0.35 spl0_12|~spl0_16|~spl0_14),
% 0.12/0.35 inference(split_clause,[status(thm)],[f161,f125,f139,f131])).
% 0.12/0.35 fof(f168,plain,(
% 0.12/0.35 $false),
% 0.12/0.35 inference(sat_refutation,[status(thm)],[f46,f63,f65,f74,f104,f138,f143,f146,f150,f157,f159,f162])).
% 0.12/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.36 % Elapsed time: 0.020205 seconds
% 0.12/0.36 % CPU time: 0.063370 seconds
% 0.12/0.36 % Total memory used: 3.380 MB
% 0.12/0.36 % Net memory used: 3.343 MB
%------------------------------------------------------------------------------