%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET854-2 : 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 : n011.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 02:12:45 PM UTC 2026
% Result : Unsatisfiable 77.19s 10.22s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET854-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n011.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 05:41:25 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 77.19/10.22 % Refutation found
% 77.19/10.22 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 77.19/10.22 % SZS output start CNFRefutation for theBenchmark
% 77.19/10.22 fof(f1,axiom,(
% 77.19/10.22 (![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 ) ))),
% 77.19/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.19/10.22 fof(f2,axiom,(
% 77.19/10.22 (![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) ) ))),
% 77.19/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.19/10.22 fof(f3,axiom,(
% 77.19/10.22 (![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)) ) ))),
% 77.19/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.19/10.22 fof(f4,axiom,(
% 77.19/10.22 (![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)) ) ))),
% 77.19/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.19/10.22 fof(f5,axiom,(
% 77.19/10.22 (![V_x,V_S,T_a]: (c_lessequals(V_x,c_Zorn_Osucc(V_S,V_x,T_a),tc_set(tc_set(T_a))) ))),
% 77.19/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.19/10.22 fof(f6,axiom,(
% 77.19/10.22 (![V_m,V_S,T_a,V_n]: (( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| c_in(c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))| c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))) ) ))),
% 77.19/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.19/10.22 fof(f7,axiom,(
% 77.19/10.22 (![V_m,V_S,T_a,V_n]: (( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a),V_m,tc_set(tc_set(T_a)))| c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))) ) ))),
% 77.19/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.19/10.22 fof(f8,axiom,(
% 77.19/10.22 (![V_m,V_S,T_a,V_n]: (( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a) != V_m| c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))| c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))) ) ))),
% 77.19/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.19/10.22 fof(f9,axiom,(
% 77.19/10.22 (![V_m,V_S,T_a,V_n]: (( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_lessequals(c_Zorn_Osucc(V_S,c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a),T_a),V_m,tc_set(tc_set(T_a)))| c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))| c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))) ) ))),
% 77.19/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.19/10.22 fof(f10,axiom,(
% 77.19/10.22 (![V_A,V_B,V_C,T_a]: (( c_in(c_Zorn_OUnion__lemma0__1(V_A,V_B,V_C,T_a),V_C,tc_set(T_a))| c_lessequals(V_B,c_Union(V_C,T_a),tc_set(T_a))| c_lessequals(c_Union(V_C,T_a),V_A,tc_set(T_a)) ) ))),
% 77.19/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.19/10.22 fof(f11,axiom,(
% 77.19/10.22 (![V_A,V_B,V_C,T_a]: (( ~ c_lessequals(c_Zorn_OUnion__lemma0__1(V_A,V_B,V_C,T_a),V_A,tc_set(T_a))| c_lessequals(V_B,c_Union(V_C,T_a),tc_set(T_a))| c_lessequals(c_Union(V_C,T_a),V_A,tc_set(T_a)) ) ))),
% 77.19/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.19/10.22 fof(f12,axiom,(
% 77.19/10.22 (![V_B,V_A,V_C,T_a]: (( ~ c_lessequals(V_B,c_Zorn_OUnion__lemma0__1(V_A,V_B,V_C,T_a),tc_set(T_a))| c_lessequals(V_B,c_Union(V_C,T_a),tc_set(T_a))| c_lessequals(c_Union(V_C,T_a),V_A,tc_set(T_a)) ) ))),
% 77.19/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.19/10.22 fof(f13,negated_conjecture,(
% 77.19/10.22 c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))) ),
% 77.19/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.19/10.22 fof(f14,negated_conjecture,(
% 77.19/10.22 c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
% 77.19/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.19/10.22 fof(f15,negated_conjecture,(
% 77.19/10.22 c_lessequals(v_x,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ),
% 77.19/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.19/10.22 fof(f16,negated_conjecture,(
% 77.19/10.22 v_x != c_Union(v_Y,tc_set(t_a)) ),
% 77.19/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.19/10.22 fof(f17,negated_conjecture,(
% 77.19/10.22 ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ),
% 77.19/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.19/10.22 fof(f18,negated_conjecture,(
% 77.19/10.22 (![V_V,V_U]: (( c_lessequals(c_Zorn_Osucc(v_S,V_V,t_a),V_U,tc_set(tc_set(t_a)))| V_V = V_U| ~ c_lessequals(V_V,V_U,tc_set(tc_set(t_a)))| ~ c_in(V_V,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))| ~ c_in(V_U,v_Y,tc_set(tc_set(t_a))) ) ))),
% 77.19/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.19/10.22 fof(f19,plain,(
% 77.19/10.22 ![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)),
% 77.19/10.22 inference(miniscoping,[status(thm)],[f1])).
% 77.19/10.22 fof(f20,plain,(
% 77.19/10.22 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 77.19/10.22 inference(cnf_transformation,[status(thm)],[f19])).
% 77.19/10.22 fof(f21,plain,(
% 77.19/10.22 ![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))),
% 77.19/10.22 inference(miniscoping,[status(thm)],[f2])).
% 77.19/10.22 fof(f22,plain,(
% 77.19/10.22 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 77.19/10.22 inference(cnf_transformation,[status(thm)],[f21])).
% 77.19/10.22 fof(f23,plain,(
% 77.19/10.22 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 77.19/10.22 inference(cnf_transformation,[status(thm)],[f3])).
% 77.19/10.22 fof(f24,plain,(
% 77.19/10.22 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 77.19/10.22 inference(cnf_transformation,[status(thm)],[f4])).
% 77.19/10.22 fof(f25,plain,(
% 77.19/10.22 ![X0,X1,X2]: (c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))))),
% 77.19/10.22 inference(cnf_transformation,[status(thm)],[f5])).
% 77.19/10.22 fof(f26,plain,(
% 77.19/10.22 ![X0,X1,X2,X3]: (~c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|~c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|c_lessequals(X3,X0,tc_set(tc_set(X2)))|c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))))),
% 77.19/10.22 inference(cnf_transformation,[status(thm)],[f6])).
% 77.19/10.22 fof(f27,plain,(
% 77.19/10.22 ![X0,X1,X2,X3]: (~c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|~c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|c_lessequals(X3,X0,tc_set(tc_set(X2)))|c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X0,tc_set(tc_set(X2)))|c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))))),
% 77.19/10.22 inference(cnf_transformation,[status(thm)],[f7])).
% 77.19/10.22 fof(f28,plain,(
% 77.19/10.22 ![X0,X1,X2,X3]: (~c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|~c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|~c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2)=X0|c_lessequals(X3,X0,tc_set(tc_set(X2)))|c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))))),
% 77.19/10.22 inference(cnf_transformation,[status(thm)],[f8])).
% 77.19/10.22 fof(f29,plain,(
% 77.19/10.22 ![X0,X1,X2,X3]: (~c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|~c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|~c_lessequals(c_Zorn_Osucc(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X2),X0,tc_set(tc_set(X2)))|c_lessequals(X3,X0,tc_set(tc_set(X2)))|c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))))),
% 77.19/10.22 inference(cnf_transformation,[status(thm)],[f9])).
% 77.19/10.22 fof(f30,plain,(
% 77.19/10.22 ![V_A,V_C,T_a]: ((![V_B]: (c_in(c_Zorn_OUnion__lemma0__1(V_A,V_B,V_C,T_a),V_C,tc_set(T_a))|c_lessequals(V_B,c_Union(V_C,T_a),tc_set(T_a))))|c_lessequals(c_Union(V_C,T_a),V_A,tc_set(T_a)))),
% 77.19/10.22 inference(miniscoping,[status(thm)],[f10])).
% 77.19/10.22 fof(f31,plain,(
% 77.19/10.22 ![X0,X1,X2,X3]: (c_in(c_Zorn_OUnion__lemma0__1(X0,X1,X2,X3),X2,tc_set(X3))|c_lessequals(X1,c_Union(X2,X3),tc_set(X3))|c_lessequals(c_Union(X2,X3),X0,tc_set(X3)))),
% 77.19/10.22 inference(cnf_transformation,[status(thm)],[f30])).
% 77.19/10.22 fof(f32,plain,(
% 77.19/10.22 ![V_A,V_C,T_a]: ((![V_B]: (~c_lessequals(c_Zorn_OUnion__lemma0__1(V_A,V_B,V_C,T_a),V_A,tc_set(T_a))|c_lessequals(V_B,c_Union(V_C,T_a),tc_set(T_a))))|c_lessequals(c_Union(V_C,T_a),V_A,tc_set(T_a)))),
% 77.19/10.22 inference(miniscoping,[status(thm)],[f11])).
% 77.19/10.22 fof(f33,plain,(
% 77.19/10.22 ![X0,X1,X2,X3]: (~c_lessequals(c_Zorn_OUnion__lemma0__1(X0,X1,X2,X3),X0,tc_set(X3))|c_lessequals(X1,c_Union(X2,X3),tc_set(X3))|c_lessequals(c_Union(X2,X3),X0,tc_set(X3)))),
% 77.19/10.22 inference(cnf_transformation,[status(thm)],[f32])).
% 77.19/10.22 fof(f34,plain,(
% 77.19/10.22 ![V_A,V_C,T_a]: ((![V_B]: (~c_lessequals(V_B,c_Zorn_OUnion__lemma0__1(V_A,V_B,V_C,T_a),tc_set(T_a))|c_lessequals(V_B,c_Union(V_C,T_a),tc_set(T_a))))|c_lessequals(c_Union(V_C,T_a),V_A,tc_set(T_a)))),
% 77.19/10.22 inference(miniscoping,[status(thm)],[f12])).
% 77.19/10.22 fof(f35,plain,(
% 77.19/10.22 ![X0,X1,X2,X3]: (~c_lessequals(X0,c_Zorn_OUnion__lemma0__1(X1,X0,X2,X3),tc_set(X3))|c_lessequals(X0,c_Union(X2,X3),tc_set(X3))|c_lessequals(c_Union(X2,X3),X1,tc_set(X3)))),
% 77.19/10.22 inference(cnf_transformation,[status(thm)],[f34])).
% 77.19/10.22 fof(f36,plain,(
% 77.19/10.22 c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(cnf_transformation,[status(thm)],[f13])).
% 77.19/10.22 fof(f37,plain,(
% 77.19/10.22 c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 77.19/10.22 inference(cnf_transformation,[status(thm)],[f14])).
% 77.19/10.22 fof(f38,plain,(
% 77.19/10.22 c_lessequals(v_x,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))),
% 77.19/10.22 inference(cnf_transformation,[status(thm)],[f15])).
% 77.19/10.22 fof(f39,plain,(
% 77.19/10.22 ~v_x=c_Union(v_Y,tc_set(t_a))),
% 77.19/10.22 inference(cnf_transformation,[status(thm)],[f16])).
% 77.19/10.22 fof(f40,plain,(
% 77.19/10.22 ~c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))),
% 77.19/10.22 inference(cnf_transformation,[status(thm)],[f17])).
% 77.19/10.22 fof(f41,plain,(
% 77.19/10.22 ![V_U]: ((![V_V]: (((c_lessequals(c_Zorn_Osucc(v_S,V_V,t_a),V_U,tc_set(tc_set(t_a)))|V_V=V_U)|~c_lessequals(V_V,V_U,tc_set(tc_set(t_a))))|~c_in(V_V,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))))|~c_in(V_U,v_Y,tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(miniscoping,[status(thm)],[f18])).
% 77.19/10.22 fof(f42,plain,(
% 77.19/10.22 ![X0,X1]: (c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,tc_set(tc_set(t_a)))|X0=X1|~c_lessequals(X0,X1,tc_set(tc_set(t_a)))|~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|~c_in(X1,v_Y,tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(cnf_transformation,[status(thm)],[f41])).
% 77.19/10.22 fof(f45,plain,(
% 77.19/10.22 ![X0]: (~c_in(X0,v_Y,tc_set(tc_set(t_a)))|c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(resolution,[status(thm)],[f22,f36])).
% 77.19/10.22 fof(f46,plain,(
% 77.19/10.22 ![X0,X1,X2,X3]: (~c_in(X0,X1,tc_set(X2))|c_in(X0,c_Zorn_Osucc(X3,X1,X2),tc_set(X2)))),
% 77.19/10.22 inference(resolution,[status(thm)],[f22,f25])).
% 77.19/10.22 fof(f48,plain,(
% 77.19/10.22 ~c_lessequals(c_Union(v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))|v_x=c_Union(v_Y,tc_set(t_a))),
% 77.19/10.22 inference(resolution,[status(thm)],[f38,f20])).
% 77.19/10.22 fof(f49,plain,(
% 77.19/10.22 ~c_lessequals(c_Union(v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))),
% 77.19/10.22 inference(forward_subsumption_resolution,[status(thm)],[f48,f39])).
% 77.19/10.22 fof(f51,plain,(
% 77.19/10.22 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1))|c_lessequals(X0,X0,tc_set(X1)))),
% 77.19/10.22 inference(resolution,[status(thm)],[f24,f23])).
% 77.19/10.22 fof(f52,plain,(
% 77.19/10.22 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 77.19/10.22 inference(duplicate_literals_removal,[status(thm)],[f51])).
% 77.19/10.22 fof(f55,plain,(
% 77.19/10.22 ![X0,X1,X2,X3]: (c_in(c_Main_OsubsetI__1(X0,X1,tc_set(X2)),c_Zorn_Osucc(X3,X0,X2),tc_set(X2))|c_lessequals(X0,X1,tc_set(tc_set(X2))))),
% 77.19/10.22 inference(resolution,[status(thm)],[f46,f23])).
% 77.19/10.22 fof(f60,plain,(
% 77.19/10.22 ![X0]: (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(v_x,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),X0,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_x,tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(resolution,[status(thm)],[f27,f37])).
% 77.19/10.22 fof(f62,plain,(
% 77.19/10.22 ![X0]: (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|~c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a)=X0|c_lessequals(v_x,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_x,tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(resolution,[status(thm)],[f28,f37])).
% 77.19/10.22 fof(f89,plain,(
% 77.19/10.22 ![X0,X1]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))|c_in(c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(resolution,[status(thm)],[f31,f45])).
% 77.19/10.22 fof(f90,plain,(
% 77.19/10.22 ![X0,X1,X2]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,X2,t_a),c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|X2=c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a))|~c_lessequals(X2,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|~c_in(X2,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(resolution,[status(thm)],[f31,f42])).
% 77.19/10.22 fof(f95,plain,(
% 77.19/10.22 ![X0]: (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|~c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),t_a),X0,tc_set(tc_set(t_a)))|c_lessequals(v_x,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_x,tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(resolution,[status(thm)],[f29,f37])).
% 77.19/10.22 fof(f249,plain,(
% 77.19/10.22 ![X0,X1]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))|~c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a)=c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a))|c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),v_x,tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(resolution,[status(thm)],[f89,f62])).
% 77.19/10.22 fof(f250,plain,(
% 77.19/10.22 ![X0,X1]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))|c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),v_x,tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(resolution,[status(thm)],[f89,f60])).
% 77.19/10.22 fof(f261,plain,(
% 77.19/10.22 ![X0,X1,X2]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))|~c_in(X2,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(X2,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),X2,tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(resolution,[status(thm)],[f89,f26])).
% 77.19/10.22 fof(f694,plain,(
% 77.19/10.22 ![X0,X1]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))|c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),v_x,tc_set(tc_set(t_a)))|c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),t_a),c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a)=c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a))|~c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(resolution,[status(thm)],[f250,f90])).
% 77.19/10.22 fof(f697,plain,(
% 77.19/10.22 ![X0,X1]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))|c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),t_a),c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a)=c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a))|~c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(duplicate_literals_removal,[status(thm)],[f694])).
% 77.19/10.22 fof(f698,plain,(
% 77.19/10.22 ![X0,X1]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))|c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),t_a),c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|~c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(forward_subsumption_resolution,[status(thm)],[f697,f249])).
% 77.19/10.22 fof(f785,plain,(
% 77.19/10.22 ![X0,X1]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))|c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),v_x,tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(resolution,[status(thm)],[f261,f37])).
% 77.19/10.22 fof(f2574,plain,(
% 77.19/10.22 ![X0,X1]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))|c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),t_a),c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(backward_subsumption_resolution,[status(thm)],[f698,f785])).
% 77.19/10.22 fof(f4832,plain,(
% 77.19/10.22 ![X0,X1]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))|c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),v_x,tc_set(tc_set(t_a)))|~c_in(c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),v_x,tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(resolution,[status(thm)],[f2574,f95])).
% 77.19/10.22 fof(f4843,plain,(
% 77.19/10.22 ![X0,X1]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))|c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),v_x,tc_set(tc_set(t_a)))|~c_in(c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(duplicate_literals_removal,[status(thm)],[f4832])).
% 77.19/10.22 fof(f4844,plain,(
% 77.19/10.22 ![X0,X1]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))|c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),v_x,tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(forward_subsumption_resolution,[status(thm)],[f4843,f89])).
% 77.19/10.22 fof(f4848,plain,(
% 77.19/10.22 ![X0,X1,X2]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))|c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|~c_in(X2,c_Zorn_Osucc(v_S,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),t_a),tc_set(t_a))|c_in(X2,v_x,tc_set(t_a)))),
% 77.19/10.22 inference(resolution,[status(thm)],[f4844,f22])).
% 77.19/10.22 fof(f5788,plain,(
% 77.19/10.22 ![X0,X1,X2]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))|c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_in(c_Main_OsubsetI__1(c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),X2,tc_set(t_a)),v_x,tc_set(t_a))|c_lessequals(c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),X2,tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(resolution,[status(thm)],[f4848,f55])).
% 77.19/10.22 fof(f8430,plain,(
% 77.19/10.22 ![X0,X1]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))|c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(resolution,[status(thm)],[f5788,f24])).
% 77.19/10.22 fof(f8463,plain,(
% 77.19/10.22 ![X0,X1]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))|c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_OUnion__lemma0__1(X1,X0,v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(duplicate_literals_removal,[status(thm)],[f8430])).
% 77.19/10.22 fof(f8464,plain,(
% 77.19/10.22 ![X0]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))|c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(v_x,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(resolution,[status(thm)],[f8463,f33])).
% 77.19/10.22 fof(f8467,plain,(
% 77.19/10.22 ![X0]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))|c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(v_x,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(duplicate_literals_removal,[status(thm)],[f8464])).
% 77.19/10.22 fof(f8468,plain,(
% 77.19/10.22 ![X0]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(v_x,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(forward_subsumption_resolution,[status(thm)],[f8467,f49])).
% 77.19/10.22 fof(f8469,plain,(
% 77.19/10.22 ![X0]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Zorn_OUnion__lemma0__1(v_x,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|v_x=c_Zorn_OUnion__lemma0__1(v_x,X0,v_Y,tc_set(t_a))|~c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(resolution,[status(thm)],[f8468,f90])).
% 77.19/10.22 fof(f8473,plain,(
% 77.19/10.22 ![X0]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Zorn_OUnion__lemma0__1(v_x,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|v_x=c_Zorn_OUnion__lemma0__1(v_x,X0,v_Y,tc_set(t_a))|~c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(duplicate_literals_removal,[status(thm)],[f8469])).
% 77.19/10.22 fof(f8474,plain,(
% 77.19/10.22 ![X0]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Zorn_OUnion__lemma0__1(v_x,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|v_x=c_Zorn_OUnion__lemma0__1(v_x,X0,v_Y,tc_set(t_a))|~c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))))),
% 77.19/10.22 inference(forward_subsumption_resolution,[status(thm)],[f8473,f49])).
% 77.19/10.22 fof(f9004,plain,(
% 77.19/10.22 ![X0]: (c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Zorn_OUnion__lemma0__1(v_x,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|v_x=c_Zorn_OUnion__lemma0__1(v_x,X0,v_Y,tc_set(t_a)))),
% 77.19/10.22 inference(forward_subsumption_resolution,[status(thm)],[f8474,f37])).
% 77.19/10.22 fof(f9006,plain,(
% 77.19/10.22 c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|v_x=c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a))|c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))),
% 27.37/10.26 inference(resolution,[status(thm)],[f9004,f35])).
% 27.37/10.26 fof(f9011,plain,(
% 27.37/10.26 c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|v_x=c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a))|c_lessequals(c_Union(v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))),
% 27.37/10.26 inference(duplicate_literals_removal,[status(thm)],[f9006])).
% 27.37/10.26 fof(f9012,plain,(
% 27.37/10.26 v_x=c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a))|c_lessequals(c_Union(v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))),
% 27.37/10.26 inference(forward_subsumption_resolution,[status(thm)],[f9011,f40])).
% 27.37/10.26 fof(f9013,plain,(
% 27.37/10.26 v_x=c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a))),
% 27.37/10.26 inference(forward_subsumption_resolution,[status(thm)],[f9012,f49])).
% 27.37/10.26 fof(f9219,plain,(
% 27.37/10.26 ~c_lessequals(v_x,v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))),
% 27.37/10.26 inference(paramodulation,[status(thm)],[f9013,f33])).
% 27.37/10.26 fof(f9781,plain,(
% 27.37/10.26 c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))),
% 27.37/10.26 inference(forward_subsumption_resolution,[status(thm)],[f9219,f52])).
% 27.37/10.26 fof(f10003,plain,(
% 27.37/10.26 c_lessequals(c_Union(v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))),
% 27.37/10.26 inference(forward_subsumption_resolution,[status(thm)],[f9781,f40])).
% 27.37/10.26 fof(f10004,plain,(
% 27.37/10.26 $false),
% 27.37/10.26 inference(backward_subsumption_resolution,[status(thm)],[f49,f10003])).
% 27.37/10.26 % SZS output end CNFRefutation for theBenchmark.p
% 5.45/10.32 % Elapsed time: 9.936722 seconds
% 5.45/10.32 % CPU time: 78.309092 seconds
% 5.45/10.32 % Total memory used: 426.524 MB
% 5.45/10.32 % Net memory used: 368.280 MB
%------------------------------------------------------------------------------