%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET862-2 : 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 : n010.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 02:12:46 PM UTC 2026
% Result : Unsatisfiable 9.44s 1.68s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET862-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 05:42:24 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 9.44/1.68 % Refutation found
% 9.44/1.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.44/1.68 % SZS output start CNFRefutation for theBenchmark
% 9.44/1.68 fof(f1,axiom,(
% 9.44/1.68 (![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 ) ))),
% 9.44/1.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.44/1.68 fof(f2,axiom,(
% 9.44/1.68 (![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) ) ))),
% 9.44/1.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.44/1.68 fof(f3,axiom,(
% 9.44/1.68 (![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)) ) ))),
% 9.44/1.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.44/1.68 fof(f4,axiom,(
% 9.44/1.68 (![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)) ) ))),
% 9.44/1.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.44/1.68 fof(f5,axiom,(
% 9.44/1.68 (![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))) ) ))),
% 9.44/1.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.44/1.68 fof(f6,axiom,(
% 9.44/1.68 (![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))) ) ))),
% 9.44/1.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.44/1.68 fof(f7,axiom,(
% 9.44/1.68 (![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)) ) ))),
% 9.44/1.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.44/1.68 fof(f8,axiom,(
% 9.44/1.68 (![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) ) ))),
% 9.44/1.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.44/1.68 fof(f9,negated_conjecture,(
% 9.44/1.68 c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))) ),
% 9.44/1.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.44/1.68 fof(f10,negated_conjecture,(
% 9.44/1.68 c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
% 9.44/1.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.44/1.68 fof(f11,negated_conjecture,(
% 9.44/1.68 c_in(v_y,v_S,tc_set(t_a)) ),
% 9.44/1.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.44/1.68 fof(f12,negated_conjecture,(
% 9.44/1.68 (![V_U]: (( c_lessequals(V_U,v_y,tc_set(t_a))| ~ c_in(V_U,v_c,tc_set(t_a)) ) ))),
% 9.44/1.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.44/1.68 fof(f13,negated_conjecture,(
% 9.44/1.68 (![V_U]: (( c_in(v_x(V_U),v_S,tc_set(t_a))| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 9.44/1.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.44/1.68 fof(f14,negated_conjecture,(
% 9.44/1.68 (![V_U]: (( c_lessequals(V_U,v_x(V_U),tc_set(t_a))| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 9.44/1.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.44/1.68 fof(f15,negated_conjecture,(
% 9.44/1.68 (![V_U]: (( V_U != v_x(V_U)| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 9.44/1.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.44/1.68 fof(f16,plain,(
% 9.44/1.68 ![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)),
% 9.44/1.68 inference(miniscoping,[status(thm)],[f1])).
% 9.44/1.68 fof(f17,plain,(
% 9.44/1.68 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 9.44/1.68 inference(cnf_transformation,[status(thm)],[f16])).
% 9.44/1.68 fof(f18,plain,(
% 9.44/1.68 ![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))),
% 9.44/1.68 inference(miniscoping,[status(thm)],[f2])).
% 9.44/1.68 fof(f19,plain,(
% 9.44/1.68 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 9.44/1.68 inference(cnf_transformation,[status(thm)],[f18])).
% 9.44/1.68 fof(f20,plain,(
% 9.44/1.68 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 9.44/1.68 inference(cnf_transformation,[status(thm)],[f3])).
% 9.44/1.68 fof(f21,plain,(
% 9.44/1.68 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 9.44/1.68 inference(cnf_transformation,[status(thm)],[f4])).
% 9.44/1.68 fof(f22,plain,(
% 9.44/1.68 ![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))))),
% 9.44/1.68 inference(cnf_transformation,[status(thm)],[f5])).
% 9.44/1.68 fof(f23,plain,(
% 9.44/1.68 ![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))))),
% 9.44/1.68 inference(cnf_transformation,[status(thm)],[f6])).
% 9.44/1.68 fof(f24,plain,(
% 9.44/1.68 ![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)))),
% 9.44/1.68 inference(miniscoping,[status(thm)],[f7])).
% 9.44/1.68 fof(f25,plain,(
% 9.44/1.68 ![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)))),
% 9.44/1.68 inference(cnf_transformation,[status(thm)],[f24])).
% 9.44/1.68 fof(f26,plain,(
% 9.44/1.68 ![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))),
% 9.44/1.68 inference(miniscoping,[status(thm)],[f8])).
% 9.44/1.68 fof(f27,plain,(
% 9.44/1.68 ![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))),
% 9.44/1.68 inference(cnf_transformation,[status(thm)],[f26])).
% 9.44/1.68 fof(f28,plain,(
% 9.44/1.68 c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))),
% 9.44/1.68 inference(cnf_transformation,[status(thm)],[f9])).
% 9.44/1.68 fof(f29,plain,(
% 9.44/1.68 c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))),
% 9.44/1.68 inference(cnf_transformation,[status(thm)],[f10])).
% 9.44/1.68 fof(f30,plain,(
% 9.44/1.68 c_in(v_y,v_S,tc_set(t_a))),
% 9.44/1.68 inference(cnf_transformation,[status(thm)],[f11])).
% 9.44/1.68 fof(f31,plain,(
% 9.44/1.68 ![X0]: (c_lessequals(X0,v_y,tc_set(t_a))|~c_in(X0,v_c,tc_set(t_a)))),
% 9.44/1.68 inference(cnf_transformation,[status(thm)],[f12])).
% 9.44/1.68 fof(f32,plain,(
% 9.44/1.68 ![X0]: (c_in(v_x(X0),v_S,tc_set(t_a))|~c_in(X0,v_S,tc_set(t_a)))),
% 9.44/1.68 inference(cnf_transformation,[status(thm)],[f13])).
% 9.44/1.68 fof(f33,plain,(
% 9.44/1.68 ![X0]: (c_lessequals(X0,v_x(X0),tc_set(t_a))|~c_in(X0,v_S,tc_set(t_a)))),
% 9.44/1.68 inference(cnf_transformation,[status(thm)],[f14])).
% 9.44/1.68 fof(f34,plain,(
% 9.44/1.68 ![X0]: (~X0=v_x(X0)|~c_in(X0,v_S,tc_set(t_a)))),
% 9.44/1.68 inference(cnf_transformation,[status(thm)],[f15])).
% 9.44/1.68 fof(f35,plain,(
% 9.44/1.68 ~v_y=v_x(v_y)),
% 9.44/1.68 inference(resolution,[status(thm)],[f34,f30])).
% 9.44/1.68 fof(f36,plain,(
% 9.44/1.68 c_in(v_x(v_y),v_S,tc_set(t_a))),
% 9.44/1.68 inference(resolution,[status(thm)],[f32,f30])).
% 9.44/1.68 fof(f49,plain,(
% 9.44/1.68 c_lessequals(v_y,v_x(v_y),tc_set(t_a))),
% 9.44/1.68 inference(resolution,[status(thm)],[f33,f30])).
% 9.44/1.68 fof(f50,plain,(
% 9.44/1.68 ![X0]: (~c_in(X0,v_y,t_a)|c_in(X0,v_x(v_y),t_a))),
% 9.44/1.68 inference(resolution,[status(thm)],[f49,f19])).
% 9.44/1.68 fof(f51,plain,(
% 9.44/1.68 ~c_lessequals(v_x(v_y),v_y,tc_set(t_a))|v_y=v_x(v_y)),
% 9.44/1.68 inference(resolution,[status(thm)],[f49,f17])).
% 9.44/1.68 fof(f52,plain,(
% 9.44/1.68 ~c_lessequals(v_x(v_y),v_y,tc_set(t_a))),
% 9.44/1.68 inference(forward_subsumption_resolution,[status(thm)],[f51,f35])).
% 9.44/1.68 fof(f97,plain,(
% 9.44/1.68 ![X0]: (~c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))|c_in(c_Zorn_Ochain__extend__1(X0,v_x(v_y),t_a),X0,tc_set(t_a))|c_in(c_union(c_insert(v_x(v_y),c_emptyset,tc_set(t_a)),X0,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))))),
% 9.44/1.68 inference(resolution,[status(thm)],[f22,f36])).
% 9.44/1.68 fof(f216,plain,(
% 9.44/1.68 c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_c,tc_set(t_a))|c_in(c_union(c_insert(v_x(v_y),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)))),
% 9.44/1.68 inference(resolution,[status(thm)],[f97,f29])).
% 9.44/1.68 fof(f491,plain,(
% 9.44/1.68 ![X0,X1]: (c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_c,tc_set(t_a))|~c_in(X0,v_x(v_y),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))),
% 9.44/1.68 inference(resolution,[status(thm)],[f216,f27])).
% 9.44/1.68 fof(f492,plain,(
% 9.44/1.68 ![X0,X1]: (c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_c,tc_set(t_a))|~c_in(X0,v_x(v_y),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)))),
% 9.44/1.68 inference(resolution,[status(thm)],[f216,f25])).
% 9.44/1.68 fof(f500,plain,(
% 9.44/1.68 ![X0,X1]: (c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_c,tc_set(t_a))|~c_in(X0,v_x(v_y),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))),
% 9.44/1.68 inference(forward_subsumption_resolution,[status(thm)],[f491,f28])).
% 9.44/1.68 fof(f501,plain,(
% 9.44/1.68 ![X0,X1]: (c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_c,tc_set(t_a))|~c_in(X0,v_x(v_y),t_a)|c_in(X0,X1,t_a)|c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a)))),
% 9.44/1.68 inference(forward_subsumption_resolution,[status(thm)],[f492,f28])).
% 9.44/1.68 fof(f503,plain,(
% 9.44/1.68 ![X0,X1]: (c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_c,tc_set(t_a))|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),X0,tc_set(t_a))|c_in(c_Main_OsubsetI__1(v_x(v_y),X1,t_a),X0,t_a)|c_lessequals(v_x(v_y),X1,tc_set(t_a)))),
% 9.44/1.68 inference(resolution,[status(thm)],[f500,f20])).
% 9.44/1.68 fof(f512,plain,(
% 9.44/1.68 ![X0,X1]: (c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_c,tc_set(t_a))|c_in(c_Main_OsubsetI__1(v_x(v_y),X0,t_a),X1,t_a)|c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a))|c_lessequals(v_x(v_y),X0,tc_set(t_a)))),
% 9.44/1.68 inference(resolution,[status(thm)],[f501,f20])).
% 9.44/1.68 fof(f1950,plain,(
% 9.44/1.68 ![X0]: (c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_c,tc_set(t_a))|c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_c,tc_set(t_a))|c_lessequals(v_x(v_y),X0,tc_set(t_a))|c_lessequals(v_x(v_y),X0,tc_set(t_a)))),
% 9.44/1.68 inference(resolution,[status(thm)],[f512,f21])).
% 9.44/1.68 fof(f2034,plain,(
% 9.44/1.68 ![X0]: (c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_c,tc_set(t_a))|c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_c,tc_set(t_a))|c_lessequals(v_x(v_y),X0,tc_set(t_a)))),
% 9.44/1.68 inference(duplicate_literals_removal,[status(thm)],[f1950])).
% 9.44/1.68 fof(f2041,plain,(
% 9.44/1.68 ![X0]: (c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_c,tc_set(t_a))|c_lessequals(v_x(v_y),X0,tc_set(t_a))|c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_y,tc_set(t_a)))),
% 9.44/1.69 inference(resolution,[status(thm)],[f2034,f31])).
% 9.44/1.69 fof(f2049,plain,(
% 9.44/1.69 ![X0]: (c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_c,tc_set(t_a))|c_lessequals(v_x(v_y),v_y,tc_set(t_a))|c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_c,tc_set(t_a))|c_in(c_Main_OsubsetI__1(v_x(v_y),X0,t_a),v_y,t_a)|c_lessequals(v_x(v_y),X0,tc_set(t_a)))),
% 9.44/1.69 inference(resolution,[status(thm)],[f2041,f503])).
% 9.44/1.69 fof(f2055,plain,(
% 9.44/1.69 ![X0]: (c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_c,tc_set(t_a))|c_lessequals(v_x(v_y),v_y,tc_set(t_a))|c_in(c_Main_OsubsetI__1(v_x(v_y),X0,t_a),v_y,t_a)|c_lessequals(v_x(v_y),X0,tc_set(t_a)))),
% 9.44/1.69 inference(duplicate_literals_removal,[status(thm)],[f2049])).
% 9.44/1.69 fof(f2056,plain,(
% 9.44/1.69 ![X0]: (c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_c,tc_set(t_a))|c_in(c_Main_OsubsetI__1(v_x(v_y),X0,t_a),v_y,t_a)|c_lessequals(v_x(v_y),X0,tc_set(t_a)))),
% 9.44/1.69 inference(forward_subsumption_resolution,[status(thm)],[f2055,f52])).
% 9.44/1.69 fof(f2069,plain,(
% 9.44/1.69 c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_c,tc_set(t_a))|c_lessequals(v_x(v_y),v_y,tc_set(t_a))|c_lessequals(v_x(v_y),v_y,tc_set(t_a))),
% 9.44/1.69 inference(resolution,[status(thm)],[f2056,f21])).
% 9.44/1.69 fof(f2083,plain,(
% 9.44/1.69 c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_c,tc_set(t_a))|c_lessequals(v_x(v_y),v_y,tc_set(t_a))),
% 9.44/1.69 inference(duplicate_literals_removal,[status(thm)],[f2069])).
% 9.44/1.69 fof(f2084,plain,(
% 9.44/1.69 c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_c,tc_set(t_a))),
% 9.44/1.69 inference(forward_subsumption_resolution,[status(thm)],[f2083,f52])).
% 9.44/1.69 fof(f2090,plain,(
% 9.44/1.69 c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_y,tc_set(t_a))),
% 9.44/1.69 inference(resolution,[status(thm)],[f2084,f31])).
% 9.44/1.69 fof(f2092,plain,(
% 9.44/1.69 ![X0]: (~c_in(X0,c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),t_a)|c_in(X0,v_y,t_a))),
% 9.44/1.69 inference(resolution,[status(thm)],[f2090,f19])).
% 9.44/1.69 fof(f2101,plain,(
% 9.44/1.69 ![X0]: (c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),X0,t_a),v_y,t_a)|c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),X0,tc_set(t_a)))),
% 9.44/1.69 inference(resolution,[status(thm)],[f2092,f20])).
% 9.44/1.69 fof(f2115,plain,(
% 9.44/1.69 ![X0]: (c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),X0,tc_set(t_a))|c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),X0,t_a),v_x(v_y),t_a))),
% 9.44/1.69 inference(resolution,[status(thm)],[f2101,f50])).
% 9.44/1.69 fof(f2117,plain,(
% 9.44/1.69 c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_x(v_y),tc_set(t_a))|c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_x(v_y),tc_set(t_a))),
% 9.44/1.69 inference(resolution,[status(thm)],[f2115,f21])).
% 9.44/1.69 fof(f2128,plain,(
% 9.44/1.69 c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_x(v_y),tc_set(t_a))),
% 9.44/1.69 inference(duplicate_literals_removal,[status(thm)],[f2117])).
% 9.44/1.69 fof(f2130,plain,(
% 9.44/1.69 ![X0]: (~c_in(v_x(v_y),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(v_y),c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a))))),
% 9.44/1.69 inference(resolution,[status(thm)],[f2128,f23])).
% 9.44/1.69 fof(f2513,plain,(
% 9.44/1.69 ~c_in(v_x(v_y),v_S,tc_set(t_a))|c_in(c_union(c_insert(v_x(v_y),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)))),
% 9.44/1.69 inference(resolution,[status(thm)],[f2130,f29])).
% 9.44/1.69 fof(f2514,plain,(
% 9.44/1.69 c_in(c_union(c_insert(v_x(v_y),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)))),
% 9.44/1.69 inference(forward_subsumption_resolution,[status(thm)],[f2513,f36])).
% 9.44/1.69 fof(f2515,plain,(
% 9.44/1.69 ![X0,X1]: (~c_in(X0,v_x(v_y),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))),
% 9.44/1.69 inference(resolution,[status(thm)],[f2514,f27])).
% 9.44/1.69 fof(f2516,plain,(
% 9.44/1.69 ![X0,X1]: (~c_in(X0,v_x(v_y),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)))),
% 9.44/1.69 inference(resolution,[status(thm)],[f2514,f25])).
% 9.44/1.69 fof(f2526,plain,(
% 9.44/1.69 ![X0,X1]: (~c_in(X0,v_x(v_y),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))),
% 9.44/1.69 inference(forward_subsumption_resolution,[status(thm)],[f2515,f28])).
% 9.44/1.69 fof(f2527,plain,(
% 9.44/1.69 ![X0,X1]: (~c_in(X0,v_x(v_y),t_a)|c_in(X0,X1,t_a)|c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a)))),
% 9.44/1.69 inference(forward_subsumption_resolution,[status(thm)],[f2516,f28])).
% 9.44/1.69 fof(f2540,plain,(
% 9.44/1.69 ![X0,X1]: (~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),X0,tc_set(t_a))|c_in(c_Main_OsubsetI__1(v_x(v_y),X1,t_a),X0,t_a)|c_lessequals(v_x(v_y),X1,tc_set(t_a)))),
% 9.44/1.69 inference(resolution,[status(thm)],[f2526,f20])).
% 9.44/1.69 fof(f2553,plain,(
% 9.44/1.69 ![X0,X1]: (c_in(c_Main_OsubsetI__1(v_x(v_y),X0,t_a),X1,t_a)|c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a))|c_lessequals(v_x(v_y),X0,tc_set(t_a)))),
% 9.44/1.69 inference(resolution,[status(thm)],[f2527,f20])).
% 9.44/1.69 fof(f2773,plain,(
% 9.44/1.69 ![X0]: (c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_c,tc_set(t_a))|c_lessequals(v_x(v_y),X0,tc_set(t_a))|c_lessequals(v_x(v_y),X0,tc_set(t_a)))),
% 7.51/1.74 inference(resolution,[status(thm)],[f2553,f21])).
% 7.51/1.74 fof(f2865,plain,(
% 7.51/1.74 ![X0]: (c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_c,tc_set(t_a))|c_lessequals(v_x(v_y),X0,tc_set(t_a)))),
% 7.51/1.74 inference(duplicate_literals_removal,[status(thm)],[f2773])).
% 7.51/1.74 fof(f2974,plain,(
% 7.51/1.74 ![X0]: (c_lessequals(v_x(v_y),X0,tc_set(t_a))|c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_y,tc_set(t_a)))),
% 7.51/1.74 inference(resolution,[status(thm)],[f2865,f31])).
% 7.51/1.74 fof(f2976,plain,(
% 7.51/1.74 ![X0]: (c_lessequals(v_x(v_y),v_y,tc_set(t_a))|c_in(c_Main_OsubsetI__1(v_x(v_y),X0,t_a),v_y,t_a)|c_lessequals(v_x(v_y),X0,tc_set(t_a)))),
% 7.51/1.74 inference(resolution,[status(thm)],[f2974,f2540])).
% 7.51/1.74 fof(f2980,plain,(
% 7.51/1.74 ![X0]: (c_in(c_Main_OsubsetI__1(v_x(v_y),X0,t_a),v_y,t_a)|c_lessequals(v_x(v_y),X0,tc_set(t_a)))),
% 7.51/1.74 inference(forward_subsumption_resolution,[status(thm)],[f2976,f52])).
% 7.51/1.74 fof(f2981,plain,(
% 7.51/1.74 c_lessequals(v_x(v_y),v_y,tc_set(t_a))|c_lessequals(v_x(v_y),v_y,tc_set(t_a))),
% 7.51/1.74 inference(resolution,[status(thm)],[f2980,f21])).
% 7.51/1.74 fof(f2995,plain,(
% 7.51/1.74 c_lessequals(v_x(v_y),v_y,tc_set(t_a))),
% 7.51/1.74 inference(duplicate_literals_removal,[status(thm)],[f2981])).
% 7.51/1.74 fof(f2996,plain,(
% 7.51/1.74 $false),
% 7.51/1.74 inference(forward_subsumption_resolution,[status(thm)],[f2995,f52])).
% 7.51/1.74 % SZS output end CNFRefutation for theBenchmark.p
% 7.51/1.78 % Elapsed time: 1.398777 seconds
% 7.51/1.78 % CPU time: 10.478727 seconds
% 7.51/1.78 % Total memory used: 232.885 MB
% 7.51/1.78 % Net memory used: 225.930 MB
%------------------------------------------------------------------------------