%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET863-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:12:47 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET863-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.33 % Computer : n008.cluster.edu
% 0.06/0.33 % Model : x86_64 x86_64
% 0.06/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.33 % Memory : 8046.5625MB
% 0.06/0.33 % OS : Linux 6.8.0-71-generic
% 0.06/0.33 % CPULimit : 300
% 0.06/0.33 % WCLimit : 300
% 0.06/0.33 % DateTime : Mon Sep 21 05:43:39 UTC 2026
% 0.06/0.33 % CPUTime :
% 0.06/0.34 % Drodi V4.1.1
% 0.11/0.36 % Refutation found
% 0.11/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.36 fof(f1,axiom,(
% 0.11/0.36 (![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) ) ))),
% 0.11/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f2,axiom,(
% 0.11/0.36 (![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)) ) ))),
% 0.11/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f3,axiom,(
% 0.11/0.36 (![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)) ) ))),
% 0.11/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f4,axiom,(
% 0.11/0.36 (![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))) ) ))),
% 0.11/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f5,axiom,(
% 0.11/0.36 (![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))) ) ))),
% 0.11/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f6,axiom,(
% 0.11/0.36 (![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)) ) ))),
% 0.11/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f7,axiom,(
% 0.11/0.36 (![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) ) ))),
% 0.11/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f8,negated_conjecture,(
% 0.11/0.36 c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.11/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f9,negated_conjecture,(
% 0.11/0.36 c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.11/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f10,negated_conjecture,(
% 0.11/0.36 c_in(v_x,v_S,tc_set(t_a)) ),
% 0.11/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f11,negated_conjecture,(
% 0.11/0.36 c_lessequals(v_y,v_x,tc_set(t_a)) ),
% 0.11/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f12,negated_conjecture,(
% 0.11/0.36 c_in(v_xa,v_x,t_a) ),
% 0.11/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f13,negated_conjecture,(
% 0.11/0.36 ~ c_in(v_xa,v_y,t_a) ),
% 0.11/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f14,negated_conjecture,(
% 0.11/0.36 (![V_U]: (( c_lessequals(V_U,v_y,tc_set(t_a))| ~ c_in(V_U,v_c,tc_set(t_a)) ) ))),
% 0.11/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f15,plain,(
% 0.11/0.36 ![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))),
% 0.11/0.36 inference(miniscoping,[status(thm)],[f1])).
% 0.11/0.36 fof(f16,plain,(
% 0.11/0.36 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 0.11/0.36 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/0.36 fof(f17,plain,(
% 0.11/0.36 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.11/0.36 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.36 fof(f18,plain,(
% 0.11/0.36 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.11/0.36 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.36 fof(f19,plain,(
% 0.11/0.36 ![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))))),
% 0.11/0.36 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.36 fof(f20,plain,(
% 0.11/0.36 ![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))))),
% 0.11/0.36 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.36 fof(f21,plain,(
% 0.11/0.36 ![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)))),
% 0.11/0.36 inference(miniscoping,[status(thm)],[f6])).
% 0.11/0.36 fof(f22,plain,(
% 0.11/0.36 ![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)))),
% 0.11/0.36 inference(cnf_transformation,[status(thm)],[f21])).
% 0.11/0.36 fof(f23,plain,(
% 0.11/0.36 ![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))),
% 0.11/0.36 inference(miniscoping,[status(thm)],[f7])).
% 0.11/0.36 fof(f24,plain,(
% 0.11/0.36 ![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))),
% 0.11/0.36 inference(cnf_transformation,[status(thm)],[f23])).
% 0.11/0.36 fof(f25,plain,(
% 0.11/0.36 c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.11/0.36 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.36 fof(f26,plain,(
% 0.11/0.36 c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.11/0.36 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.36 fof(f27,plain,(
% 0.11/0.36 c_in(v_x,v_S,tc_set(t_a))),
% 0.11/0.36 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.36 fof(f28,plain,(
% 0.11/0.36 c_lessequals(v_y,v_x,tc_set(t_a))),
% 0.11/0.36 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.36 fof(f29,plain,(
% 0.11/0.36 c_in(v_xa,v_x,t_a)),
% 0.11/0.36 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.36 fof(f30,plain,(
% 0.11/0.36 ~c_in(v_xa,v_y,t_a)),
% 0.11/0.36 inference(cnf_transformation,[status(thm)],[f13])).
% 0.11/0.36 fof(f31,plain,(
% 0.11/0.36 ![X0]: (c_lessequals(X0,v_y,tc_set(t_a))|~c_in(X0,v_c,tc_set(t_a)))),
% 0.11/0.36 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.36 fof(f32,plain,(
% 0.11/0.36 ![X0]: (~c_in(X0,v_y,t_a)|c_in(X0,v_x,t_a))),
% 0.11/0.36 inference(resolution,[status(thm)],[f16,f28])).
% 0.11/0.36 fof(f34,plain,(
% 0.11/0.36 ![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))),
% 0.11/0.36 inference(resolution,[status(thm)],[f17,f32])).
% 0.11/0.36 fof(f36,plain,(
% 0.11/0.36 c_lessequals(v_y,v_x,tc_set(t_a))|c_lessequals(v_y,v_x,tc_set(t_a))),
% 0.11/0.36 inference(resolution,[status(thm)],[f18,f34])).
% 0.11/0.36 fof(f38,definition,(
% 0.11/0.36 sQ0_spl <=> (c_lessequals(v_y,v_x,tc_set(t_a)))),
% 0.11/0.36 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.36 fof(f41,plain,(
% 0.11/0.36 sQ0_spl),
% 0.11/0.36 inference(split_clause,[status(thm)],[f36,f38])).
% 0.11/0.36 fof(f53,plain,(
% 0.11/0.36 ![X0]: (~c_in(X0,v_S,tc_set(t_a))|c_in(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_c,tc_set(t_a))|c_in(c_union(c_insert(X0,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))))),
% 0.11/0.36 inference(resolution,[status(thm)],[f19,f26])).
% 0.11/0.36 fof(f58,plain,(
% 0.11/0.36 ![X0]: (c_in(c_Zorn_Ochain__extend__1(v_c,c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a),v_c,tc_set(t_a))|c_in(c_union(c_insert(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),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(v_S,X0,tc_set(tc_set(t_a))))),
% 0.11/0.36 inference(resolution,[status(thm)],[f53,f17])).
% 0.11/0.36 fof(f59,plain,(
% 0.11/0.36 c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,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)))),
% 0.11/0.36 inference(resolution,[status(thm)],[f53,f27])).
% 0.11/0.36 fof(f60,definition,(
% 0.11/0.36 sQ1_spl <=> (c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a)))),
% 0.11/0.36 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.36 fof(f61,plain,(
% 0.11/0.36 c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a))|~sQ1_spl),
% 0.11/0.36 inference(component_clause,[status(thm)],[f60])).
% 0.11/0.36 fof(f63,definition,(
% 0.11/0.36 sQ2_spl <=> (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))))),
% 0.11/0.36 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.36 fof(f64,plain,(
% 0.11/0.36 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)))|~sQ2_spl),
% 0.11/0.36 inference(component_clause,[status(thm)],[f63])).
% 0.11/0.36 fof(f66,plain,(
% 0.11/0.36 sQ1_spl|sQ2_spl),
% 0.11/0.36 inference(split_clause,[status(thm)],[f59,f60,f63])).
% 0.11/0.36 fof(f67,plain,(
% 0.11/0.36 c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_y,tc_set(t_a))|~sQ1_spl),
% 0.11/0.36 inference(resolution,[status(thm)],[f61,f31])).
% 0.11/0.36 fof(f69,plain,(
% 0.11/0.36 ![X0]: (~c_in(X0,c_Zorn_Ochain__extend__1(v_c,v_x,t_a),t_a)|c_in(X0,v_y,t_a)|~sQ1_spl)),
% 0.11/0.36 inference(resolution,[status(thm)],[f67,f16])).
% 0.11/0.36 fof(f75,plain,(
% 0.11/0.36 ![X0]: (c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,t_a),v_y,t_a)|c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,tc_set(t_a))|~sQ1_spl)),
% 0.11/0.36 inference(resolution,[status(thm)],[f69,f17])).
% 0.11/0.36 fof(f77,plain,(
% 0.11/0.36 ![X0]: (c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,tc_set(t_a))|c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,t_a),v_x,t_a)|~sQ1_spl)),
% 0.11/0.36 inference(resolution,[status(thm)],[f75,f32])).
% 0.11/0.36 fof(f84,plain,(
% 0.11/0.36 ![X0,X1]: (~c_in(X0,v_x,t_a)|~c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(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)|~sQ2_spl)),
% 0.11/0.36 inference(resolution,[status(thm)],[f64,f24])).
% 0.11/0.36 fof(f85,plain,(
% 0.11/0.36 ![X0,X1]: (~c_in(X0,v_x,t_a)|~c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(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))|~sQ2_spl)),
% 0.11/0.36 inference(resolution,[status(thm)],[f64,f22])).
% 0.11/0.36 fof(f88,definition,(
% 0.11/0.36 ![X0,X1]: (sQ4_spl <=> (~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)))),
% 0.11/0.36 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.11/0.36 fof(f89,plain,(
% 0.11/0.36 ![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)|~sQ4_spl)),
% 0.11/0.36 inference(component_clause,[status(thm)],[f88])).
% 0.11/0.36 fof(f91,definition,(
% 0.11/0.36 sQ5_spl <=> (c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))))),
% 0.11/0.36 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.11/0.36 fof(f93,plain,(
% 0.11/0.36 ~c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))|sQ5_spl),
% 0.11/0.36 inference(component_clause,[status(thm)],[f91])).
% 0.11/0.36 fof(f94,plain,(
% 0.11/0.36 sQ4_spl|~sQ5_spl|~sQ2_spl),
% 0.11/0.36 inference(split_clause,[status(thm)],[f84,f88,f91,f63])).
% 0.11/0.36 fof(f95,definition,(
% 0.11/0.36 ![X0,X1]: (sQ6_spl <=> (~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))))),
% 0.11/0.36 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.11/0.36 fof(f96,plain,(
% 0.11/0.36 ![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))|~sQ6_spl)),
% 0.11/0.36 inference(component_clause,[status(thm)],[f95])).
% 0.11/0.36 fof(f98,plain,(
% 0.11/0.36 sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.11/0.36 inference(split_clause,[status(thm)],[f85,f95,f91,f63])).
% 0.11/0.36 fof(f99,plain,(
% 0.11/0.36 $false|sQ5_spl),
% 0.11/0.36 inference(forward_subsumption_resolution,[status(thm)],[f93,f25])).
% 0.11/0.36 fof(f100,plain,(
% 0.11/0.36 sQ5_spl),
% 0.11/0.36 inference(contradiction_clause,[status(thm)],[f99])).
% 0.11/0.36 fof(f114,plain,(
% 0.11/0.36 ![X0]: (c_in(v_xa,X0,t_a)|c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_c,tc_set(t_a))|~sQ6_spl)),
% 0.11/0.36 inference(resolution,[status(thm)],[f96,f29])).
% 0.11/0.36 fof(f115,plain,(
% 0.11/0.36 ![X0]: (c_in(v_xa,X0,t_a)|c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_y,tc_set(t_a))|~sQ6_spl)),
% 0.11/0.36 inference(resolution,[status(thm)],[f114,f31])).
% 0.11/0.36 fof(f117,plain,(
% 0.11/0.36 ![X0]: (c_in(v_xa,v_y,t_a)|~c_in(X0,v_x,t_a)|c_in(X0,v_y,t_a)|~sQ6_spl|~sQ4_spl)),
% 0.11/0.36 inference(resolution,[status(thm)],[f115,f89])).
% 0.11/0.36 fof(f119,definition,(
% 0.11/0.36 sQ7_spl <=> (c_in(v_xa,v_y,t_a))),
% 0.11/0.36 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.11/0.36 fof(f120,plain,(
% 0.11/0.36 c_in(v_xa,v_y,t_a)|~sQ7_spl),
% 0.11/0.36 inference(component_clause,[status(thm)],[f119])).
% 0.11/0.36 fof(f122,definition,(
% 0.11/0.36 ![X0]: (sQ8_spl <=> (~c_in(X0,v_x,t_a)|c_in(X0,v_y,t_a)))),
% 0.11/0.36 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.11/0.36 fof(f123,plain,(
% 0.11/0.36 ![X0]: (~c_in(X0,v_x,t_a)|c_in(X0,v_y,t_a)|~sQ8_spl)),
% 0.11/0.36 inference(component_clause,[status(thm)],[f122])).
% 0.11/0.36 fof(f125,plain,(
% 0.11/0.36 sQ7_spl|sQ8_spl|~sQ6_spl|~sQ4_spl),
% 0.11/0.36 inference(split_clause,[status(thm)],[f117,f119,f122,f95,f88])).
% 0.11/0.36 fof(f127,plain,(
% 0.11/0.36 ~c_in(v_xa,v_x,t_a)|~sQ8_spl),
% 0.11/0.36 inference(resolution,[status(thm)],[f123,f30])).
% 0.11/0.36 fof(f129,plain,(
% 0.11/0.36 $false|~sQ8_spl),
% 0.11/0.36 inference(forward_subsumption_resolution,[status(thm)],[f127,f29])).
% 0.11/0.36 fof(f130,plain,(
% 0.11/0.36 ~sQ8_spl),
% 0.11/0.36 inference(contradiction_clause,[status(thm)],[f129])).
% 0.11/0.36 fof(f131,plain,(
% 0.11/0.36 $false|~sQ7_spl),
% 0.11/0.36 inference(forward_subsumption_resolution,[status(thm)],[f120,f30])).
% 0.11/0.36 fof(f132,plain,(
% 0.11/0.36 ~sQ7_spl),
% 0.11/0.36 inference(contradiction_clause,[status(thm)],[f131])).
% 0.11/0.36 fof(f138,plain,(
% 0.11/0.36 c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a))|~sQ1_spl),
% 0.11/0.36 inference(resolution,[status(thm)],[f77,f18])).
% 0.11/0.36 fof(f139,definition,(
% 0.11/0.36 sQ9_spl <=> (c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a)))),
% 0.11/0.36 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.11/0.36 fof(f140,plain,(
% 0.11/0.36 c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a))|~sQ9_spl),
% 0.11/0.36 inference(component_clause,[status(thm)],[f139])).
% 0.11/0.36 fof(f142,plain,(
% 0.11/0.36 sQ9_spl|~sQ1_spl),
% 0.11/0.36 inference(split_clause,[status(thm)],[f138,f139,f60])).
% 0.11/0.36 fof(f148,plain,(
% 0.11/0.36 ![X0,X1,X2]: (c_in(c_Zorn_Ochain__extend__1(v_c,c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a),v_c,tc_set(t_a))|c_lessequals(v_S,X0,tc_set(tc_set(t_a)))|~c_in(X1,c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a)|~c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))|c_in(X1,X2,t_a))),
% 0.11/0.36 inference(resolution,[status(thm)],[f58,f24])).
% 0.11/0.36 fof(f149,plain,(
% 0.11/0.36 ![X0,X1,X2]: (c_in(c_Zorn_Ochain__extend__1(v_c,c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a),v_c,tc_set(t_a))|c_lessequals(v_S,X0,tc_set(tc_set(t_a)))|~c_in(X1,c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a)|~c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(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)))),
% 0.11/0.36 inference(resolution,[status(thm)],[f58,f22])).
% 0.11/0.36 fof(f152,definition,(
% 0.11/0.36 ![X0,X1,X2]: (sQ10_spl <=> (c_in(c_Zorn_Ochain__extend__1(v_c,c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a),v_c,tc_set(t_a))|c_lessequals(v_S,X0,tc_set(tc_set(t_a)))|~c_in(X1,c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a)|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))|c_in(X1,X2,t_a)))),
% 0.11/0.36 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.11/0.36 fof(f155,plain,(
% 0.11/0.36 sQ10_spl|~sQ5_spl),
% 0.11/0.36 inference(split_clause,[status(thm)],[f148,f152,f91])).
% 0.11/0.36 fof(f156,definition,(
% 0.11/0.36 ![X0,X1,X2]: (sQ11_spl <=> (c_in(c_Zorn_Ochain__extend__1(v_c,c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a),v_c,tc_set(t_a))|c_lessequals(v_S,X0,tc_set(tc_set(t_a)))|~c_in(X1,c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),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))))),
% 0.11/0.36 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.11/0.36 fof(f159,plain,(
% 0.11/0.36 sQ11_spl|~sQ5_spl),
% 0.11/0.36 inference(split_clause,[status(thm)],[f149,f156,f91])).
% 0.11/0.36 fof(f165,plain,(
% 0.11/0.36 ![X0]: (~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)))|c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))|~sQ9_spl)),
% 0.11/0.36 inference(resolution,[status(thm)],[f140,f20])).
% 0.11/0.36 fof(f168,plain,(
% 0.11/0.36 ~c_in(v_x,v_S,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)))|~sQ9_spl),
% 0.11/0.36 inference(resolution,[status(thm)],[f165,f26])).
% 0.11/0.36 fof(f169,definition,(
% 0.11/0.36 sQ12_spl <=> (c_in(v_x,v_S,tc_set(t_a)))),
% 0.11/0.36 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.11/0.36 fof(f171,plain,(
% 0.11/0.36 ~c_in(v_x,v_S,tc_set(t_a))|sQ12_spl),
% 0.11/0.36 inference(component_clause,[status(thm)],[f169])).
% 0.11/0.36 fof(f172,plain,(
% 0.11/0.36 ~sQ12_spl|sQ2_spl|~sQ9_spl),
% 0.11/0.36 inference(split_clause,[status(thm)],[f168,f169,f63,f139])).
% 0.11/0.36 fof(f173,plain,(
% 0.11/0.36 $false|sQ12_spl),
% 0.11/0.36 inference(forward_subsumption_resolution,[status(thm)],[f171,f27])).
% 0.11/0.36 fof(f174,plain,(
% 0.11/0.36 sQ12_spl),
% 0.11/0.36 inference(contradiction_clause,[status(thm)],[f173])).
% 0.11/0.36 fof(f175,plain,(
% 0.11/0.36 $false),
% 0.11/0.36 inference(sat_refutation,[status(thm)],[f41,f66,f94,f98,f100,f125,f130,f132,f142,f155,f159,f172,f174])).
% 0.11/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.39 % Elapsed time: 0.043966 seconds
% 0.11/0.39 % CPU time: 0.151855 seconds
% 0.11/0.39 % Total memory used: 18.885 MB
% 0.11/0.39 % Net memory used: 18.468 MB
%------------------------------------------------------------------------------