%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET857-2 : 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 : n019.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 1.31s 0.70s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET857-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 05:42:04 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 1.31/0.70 % Refutation found
% 1.31/0.70 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.31/0.70 % SZS output start CNFRefutation for theBenchmark
% 1.31/0.70 fof(f1,axiom,(
% 1.31/0.70 (![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) ) ))),
% 1.31/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.31/0.70 fof(f2,axiom,(
% 1.31/0.70 (![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)) ) ))),
% 1.31/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.31/0.70 fof(f3,axiom,(
% 1.31/0.70 (![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)) ) ))),
% 1.31/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.31/0.70 fof(f4,axiom,(
% 1.31/0.70 (![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))) ))),
% 1.31/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.31/0.70 fof(f5,axiom,(
% 1.31/0.70 (![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))) ) ))),
% 1.31/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.31/0.70 fof(f6,axiom,(
% 1.31/0.70 (![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))) ) ))),
% 1.31/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.31/0.70 fof(f7,axiom,(
% 1.31/0.70 (![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))) ) ))),
% 1.31/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.31/0.70 fof(f8,axiom,(
% 1.31/0.70 (![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))) ) ))),
% 1.31/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.31/0.70 fof(f9,negated_conjecture,(
% 1.31/0.70 c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))) ),
% 1.31/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.31/0.70 fof(f10,negated_conjecture,(
% 1.31/0.70 c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
% 1.31/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.31/0.70 fof(f11,negated_conjecture,(
% 1.31/0.70 c_in(v_x,v_Y,tc_set(tc_set(t_a))) ),
% 1.31/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.31/0.70 fof(f12,negated_conjecture,(
% 1.31/0.70 ~ c_lessequals(v_x,v_n,tc_set(tc_set(t_a))) ),
% 1.31/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.31/0.70 fof(f13,negated_conjecture,(
% 1.31/0.70 ~ c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_x,tc_set(tc_set(t_a))) ),
% 1.31/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.31/0.70 fof(f14,negated_conjecture,(
% 1.31/0.70 (![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))) ) ))),
% 1.31/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.31/0.70 fof(f15,plain,(
% 1.31/0.70 ![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))),
% 1.31/0.70 inference(miniscoping,[status(thm)],[f1])).
% 1.31/0.70 fof(f16,plain,(
% 1.31/0.70 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 1.31/0.70 inference(cnf_transformation,[status(thm)],[f15])).
% 1.31/0.70 fof(f17,plain,(
% 1.31/0.70 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 1.31/0.70 inference(cnf_transformation,[status(thm)],[f2])).
% 1.31/0.70 fof(f18,plain,(
% 1.31/0.70 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 1.31/0.70 inference(cnf_transformation,[status(thm)],[f3])).
% 1.31/0.70 fof(f19,plain,(
% 1.31/0.70 ![X0,X1,X2]: (c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))))),
% 1.31/0.70 inference(cnf_transformation,[status(thm)],[f4])).
% 1.31/0.70 fof(f20,plain,(
% 1.31/0.70 ![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))))),
% 1.31/0.70 inference(cnf_transformation,[status(thm)],[f5])).
% 1.31/0.70 fof(f21,plain,(
% 1.31/0.70 ![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))))),
% 1.31/0.70 inference(cnf_transformation,[status(thm)],[f6])).
% 1.31/0.70 fof(f22,plain,(
% 1.31/0.70 ![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))))),
% 1.31/0.70 inference(cnf_transformation,[status(thm)],[f7])).
% 1.31/0.70 fof(f23,plain,(
% 1.31/0.70 ![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))))),
% 1.31/0.70 inference(cnf_transformation,[status(thm)],[f8])).
% 1.31/0.70 fof(f24,plain,(
% 1.31/0.70 c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))),
% 1.31/0.70 inference(cnf_transformation,[status(thm)],[f9])).
% 1.31/0.70 fof(f25,plain,(
% 1.31/0.70 c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 1.31/0.70 inference(cnf_transformation,[status(thm)],[f10])).
% 1.31/0.70 fof(f26,plain,(
% 1.31/0.70 c_in(v_x,v_Y,tc_set(tc_set(t_a)))),
% 1.31/0.70 inference(cnf_transformation,[status(thm)],[f11])).
% 1.31/0.70 fof(f27,plain,(
% 1.31/0.70 ~c_lessequals(v_x,v_n,tc_set(tc_set(t_a)))),
% 1.31/0.70 inference(cnf_transformation,[status(thm)],[f12])).
% 1.31/0.70 fof(f28,plain,(
% 1.31/0.70 ~c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_x,tc_set(tc_set(t_a)))),
% 1.31/0.70 inference(cnf_transformation,[status(thm)],[f13])).
% 1.31/0.70 fof(f29,plain,(
% 1.31/0.70 ![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))))),
% 1.31/0.70 inference(miniscoping,[status(thm)],[f14])).
% 1.31/0.70 fof(f30,plain,(
% 1.31/0.70 ![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))))),
% 1.31/0.70 inference(cnf_transformation,[status(thm)],[f29])).
% 1.31/0.70 fof(f32,plain,(
% 1.31/0.70 ![X0]: (~c_lessequals(v_Y,X0,tc_set(tc_set(tc_set(t_a))))|c_in(v_x,X0,tc_set(tc_set(t_a))))),
% 1.31/0.70 inference(resolution,[status(thm)],[f16,f26])).
% 1.31/0.70 fof(f35,plain,(
% 1.31/0.70 ![X0,X1,X2,X3]: (c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X0,X3,tc_set(X2))|c_in(c_Main_OsubsetI__1(X0,X1,X2),X3,X2))),
% 1.31/0.70 inference(resolution,[status(thm)],[f17,f16])).
% 1.31/0.70 fof(f36,plain,(
% 1.31/0.70 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1))|c_lessequals(X0,X0,tc_set(X1)))),
% 1.31/0.70 inference(resolution,[status(thm)],[f18,f17])).
% 1.31/0.70 fof(f37,plain,(
% 1.31/0.70 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 1.31/0.70 inference(duplicate_literals_removal,[status(thm)],[f36])).
% 1.31/0.70 fof(f62,plain,(
% 1.31/0.70 ![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_n,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_n,tc_set(tc_set(t_a))))),
% 1.31/0.70 inference(resolution,[status(thm)],[f23,f25])).
% 1.31/0.70 fof(f63,plain,(
% 1.31/0.70 c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 1.31/0.70 inference(resolution,[status(thm)],[f32,f24])).
% 1.31/0.70 fof(f67,plain,(
% 1.31/0.70 ![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,v_x,t_a)=v_x|c_lessequals(X0,v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a))))),
% 1.31/0.70 inference(resolution,[status(thm)],[f63,f22])).
% 1.31/0.70 fof(f68,plain,(
% 1.31/0.70 ![X0]: (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(X0,v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a))))),
% 1.31/0.70 inference(resolution,[status(thm)],[f63,f21])).
% 1.31/0.70 fof(f69,plain,(
% 1.31/0.70 ![X0]: (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(X0,v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a))))),
% 1.31/0.70 inference(resolution,[status(thm)],[f63,f20])).
% 1.31/0.70 fof(f71,definition,(
% 1.31/0.70 ![X0]: (sQ4_spl <=> (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(X0,v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a)))))),
% 1.31/0.70 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 1.31/0.70 fof(f72,plain,(
% 1.31/0.70 ![X0]: (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(X0,v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a)))|~sQ4_spl)),
% 1.31/0.70 inference(component_clause,[status(thm)],[f71])).
% 1.31/0.70 fof(f74,definition,(
% 1.31/0.70 sQ5_spl <=> (c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a)=v_x)),
% 1.31/0.70 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 1.31/0.70 fof(f77,plain,(
% 1.31/0.70 sQ4_spl|~sQ5_spl),
% 1.31/0.70 inference(split_clause,[status(thm)],[f67,f71,f74])).
% 1.31/0.70 fof(f78,definition,(
% 1.31/0.70 sQ6_spl <=> (c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a))))),
% 1.31/0.70 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 1.31/0.70 fof(f79,plain,(
% 1.31/0.70 c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))|~sQ6_spl),
% 1.31/0.70 inference(component_clause,[status(thm)],[f78])).
% 1.31/0.70 fof(f81,plain,(
% 1.31/0.70 sQ4_spl|sQ6_spl),
% 1.31/0.70 inference(split_clause,[status(thm)],[f68,f71,f78])).
% 1.31/0.70 fof(f82,definition,(
% 1.31/0.70 sQ7_spl <=> (c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))))),
% 1.31/0.70 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 1.31/0.70 fof(f85,plain,(
% 1.31/0.70 sQ4_spl|sQ7_spl),
% 1.31/0.70 inference(split_clause,[status(thm)],[f69,f71,f82])).
% 1.31/0.70 fof(f96,definition,(
% 1.31/0.70 sQ10_spl <=> (c_lessequals(v_x,v_n,tc_set(tc_set(t_a))))),
% 1.31/0.70 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 1.31/0.70 fof(f97,plain,(
% 1.31/0.70 c_lessequals(v_x,v_n,tc_set(tc_set(t_a)))|~sQ10_spl),
% 1.31/0.70 inference(component_clause,[status(thm)],[f96])).
% 1.31/0.70 fof(f99,definition,(
% 1.31/0.70 sQ11_spl <=> (c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_x,tc_set(tc_set(t_a))))),
% 1.31/0.70 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 1.31/0.70 fof(f100,plain,(
% 1.31/0.70 c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_x,tc_set(tc_set(t_a)))|~sQ11_spl),
% 1.31/0.70 inference(component_clause,[status(thm)],[f99])).
% 1.31/0.70 fof(f103,plain,(
% 1.31/0.70 $false|~sQ10_spl),
% 1.31/0.70 inference(forward_subsumption_resolution,[status(thm)],[f97,f27])).
% 1.31/0.70 fof(f104,plain,(
% 1.31/0.70 ~sQ10_spl),
% 1.31/0.70 inference(contradiction_clause,[status(thm)],[f103])).
% 1.31/0.70 fof(f105,plain,(
% 1.31/0.70 $false|~sQ11_spl),
% 1.31/0.70 inference(forward_subsumption_resolution,[status(thm)],[f100,f28])).
% 1.31/0.70 fof(f106,plain,(
% 1.31/0.70 ~sQ11_spl),
% 1.31/0.70 inference(contradiction_clause,[status(thm)],[f105])).
% 1.31/0.70 fof(f117,plain,(
% 1.31/0.70 ![X0,X1,X2,X3]: (c_lessequals(X0,X1,tc_set(tc_set(X2)))|c_in(c_Main_OsubsetI__1(X0,X1,tc_set(X2)),c_Zorn_Osucc(X3,X0,X2),tc_set(X2)))),
% 1.31/0.70 inference(resolution,[status(thm)],[f35,f19])).
% 1.31/0.70 fof(f144,definition,(
% 1.31/0.70 sQ18_spl <=> (c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))))),
% 1.31/0.70 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 1.31/0.70 fof(f146,plain,(
% 1.31/0.70 ~c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|sQ18_spl),
% 1.31/0.70 inference(component_clause,[status(thm)],[f144])).
% 1.31/0.70 fof(f204,plain,(
% 1.31/0.70 ![X0,X1,X2,X3,X4]: (c_lessequals(X0,X1,tc_set(tc_set(X2)))|~c_lessequals(c_Zorn_Osucc(X3,X0,X2),X4,tc_set(tc_set(X2)))|c_in(c_Main_OsubsetI__1(X0,X1,tc_set(X2)),X4,tc_set(X2)))),
% 1.31/0.70 inference(resolution,[status(thm)],[f117,f16])).
% 1.31/0.70 fof(f257,definition,(
% 1.31/0.70 sQ35_spl <=> (c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))))),
% 1.31/0.70 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 1.31/0.70 fof(f259,plain,(
% 1.31/0.70 ~c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|sQ35_spl),
% 1.31/0.70 inference(component_clause,[status(thm)],[f257])).
% 1.31/0.70 fof(f261,plain,(
% 1.31/0.70 $false|sQ35_spl),
% 1.31/0.70 inference(forward_subsumption_resolution,[status(thm)],[f259,f63])).
% 1.31/0.70 fof(f262,plain,(
% 1.31/0.70 sQ35_spl),
% 1.31/0.70 inference(contradiction_clause,[status(thm)],[f261])).
% 1.31/0.70 fof(f278,definition,(
% 1.31/0.70 sQ36_spl <=> (c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_n,tc_set(tc_set(t_a))))),
% 1.31/0.70 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 1.31/0.70 fof(f279,plain,(
% 1.31/0.70 c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_n,tc_set(tc_set(t_a)))|~sQ36_spl),
% 1.31/0.70 inference(component_clause,[status(thm)],[f278])).
% 1.31/0.70 fof(f286,plain,(
% 1.31/0.70 $false|sQ18_spl),
% 1.31/0.70 inference(forward_subsumption_resolution,[status(thm)],[f146,f25])).
% 1.31/0.70 fof(f287,plain,(
% 1.31/0.70 sQ18_spl),
% 1.31/0.70 inference(contradiction_clause,[status(thm)],[f286])).
% 1.31/0.70 fof(f342,definition,(
% 1.31/0.70 sQ43_spl <=> (c_in(v_x,v_Y,tc_set(tc_set(t_a))))),
% 1.31/0.70 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 1.31/0.70 fof(f344,plain,(
% 1.31/0.70 ~c_in(v_x,v_Y,tc_set(tc_set(t_a)))|sQ43_spl),
% 1.31/0.70 inference(component_clause,[status(thm)],[f342])).
% 1.31/0.70 fof(f377,plain,(
% 1.31/0.70 c_lessequals(v_n,v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_n,tc_set(tc_set(t_a)))|~sQ4_spl),
% 1.31/0.70 inference(resolution,[status(thm)],[f72,f25])).
% 1.31/0.70 fof(f383,definition,(
% 1.31/0.70 sQ45_spl <=> (c_lessequals(v_n,v_x,tc_set(tc_set(t_a))))),
% 1.31/0.70 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 1.31/0.70 fof(f384,plain,(
% 1.31/0.70 c_lessequals(v_n,v_x,tc_set(tc_set(t_a)))|~sQ45_spl),
% 1.31/0.70 inference(component_clause,[status(thm)],[f383])).
% 1.31/0.70 fof(f386,plain,(
% 1.31/0.70 sQ45_spl|sQ36_spl|~sQ4_spl),
% 1.31/0.70 inference(split_clause,[status(thm)],[f377,f383,f278,f71])).
% 1.31/0.70 fof(f412,plain,(
% 1.31/0.70 c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_x,tc_set(tc_set(t_a)))|v_n=v_x|~c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|~c_in(v_x,v_Y,tc_set(tc_set(t_a)))|~sQ45_spl),
% 1.31/0.70 inference(resolution,[status(thm)],[f384,f30])).
% 1.31/0.70 fof(f414,definition,(
% 1.31/0.70 sQ48_spl <=> (v_n=v_x)),
% 1.31/0.70 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 1.31/0.70 fof(f415,plain,(
% 1.31/0.70 v_n=v_x|~sQ48_spl),
% 1.31/0.70 inference(component_clause,[status(thm)],[f414])).
% 1.31/0.70 fof(f417,plain,(
% 1.31/0.70 sQ11_spl|sQ48_spl|~sQ18_spl|~sQ43_spl|~sQ45_spl),
% 1.31/0.70 inference(split_clause,[status(thm)],[f412,f99,f414,f144,f342,f383])).
% 1.31/0.70 fof(f418,plain,(
% 1.31/0.70 $false|sQ43_spl),
% 1.31/0.70 inference(forward_subsumption_resolution,[status(thm)],[f344,f26])).
% 1.31/0.70 fof(f419,plain,(
% 1.31/0.70 sQ43_spl),
% 1.31/0.70 inference(contradiction_clause,[status(thm)],[f418])).
% 1.31/0.70 fof(f437,plain,(
% 1.31/0.70 ~c_lessequals(v_n,v_n,tc_set(tc_set(t_a)))|~sQ48_spl),
% 1.31/0.70 inference(backward_demodulation,[status(thm)],[f415,f27])).
% 1.31/0.70 fof(f444,plain,(
% 1.31/0.70 $false|~sQ48_spl),
% 1.31/0.70 inference(forward_subsumption_resolution,[status(thm)],[f437,f37])).
% 1.31/0.70 fof(f445,plain,(
% 1.31/0.70 ~sQ48_spl),
% 1.31/0.70 inference(contradiction_clause,[status(thm)],[f444])).
% 1.31/0.70 fof(f473,plain,(
% 1.31/0.70 c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),t_a),v_x,tc_set(tc_set(t_a)))|c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a)=v_x|~c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|~c_in(v_x,v_Y,tc_set(tc_set(t_a)))|~sQ6_spl),
% 1.31/0.70 inference(resolution,[status(thm)],[f79,f30])).
% 1.31/0.70 fof(f475,definition,(
% 1.31/0.70 sQ49_spl <=> (c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),t_a),v_x,tc_set(tc_set(t_a))))),
% 1.31/0.70 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 1.31/0.70 fof(f476,plain,(
% 1.31/0.70 c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),t_a),v_x,tc_set(tc_set(t_a)))|~sQ49_spl),
% 1.31/0.70 inference(component_clause,[status(thm)],[f475])).
% 1.31/0.70 fof(f478,plain,(
% 1.31/0.70 sQ49_spl|sQ5_spl|~sQ7_spl|~sQ43_spl|~sQ6_spl),
% 1.31/0.70 inference(split_clause,[status(thm)],[f473,f475,f74,f82,f342,f78])).
% 1.31/0.72 fof(f578,plain,(
% 1.31/0.72 ![X0]: (c_lessequals(v_x,X0,tc_set(tc_set(t_a)))|c_in(c_Main_OsubsetI__1(v_x,X0,tc_set(t_a)),v_n,tc_set(t_a))|~sQ36_spl)),
% 1.31/0.72 inference(resolution,[status(thm)],[f279,f204])).
% 1.31/0.72 fof(f735,plain,(
% 1.31/0.72 ~c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(v_n,v_x,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_n,tc_set(tc_set(t_a)))|~sQ49_spl),
% 1.31/0.72 inference(resolution,[status(thm)],[f476,f62])).
% 1.31/0.72 fof(f749,plain,(
% 1.31/0.72 ~sQ35_spl|sQ45_spl|sQ36_spl|~sQ49_spl),
% 1.31/0.72 inference(split_clause,[status(thm)],[f735,f257,f383,f278,f475])).
% 1.31/0.72 fof(f903,plain,(
% 1.31/0.72 c_lessequals(v_x,v_n,tc_set(tc_set(t_a)))|c_lessequals(v_x,v_n,tc_set(tc_set(t_a)))|~sQ36_spl),
% 1.31/0.72 inference(resolution,[status(thm)],[f578,f18])).
% 1.31/0.72 fof(f905,plain,(
% 1.31/0.72 sQ10_spl|~sQ36_spl),
% 1.31/0.72 inference(split_clause,[status(thm)],[f903,f96,f278])).
% 1.31/0.72 fof(f906,plain,(
% 1.31/0.72 $false),
% 1.31/0.72 inference(sat_refutation,[status(thm)],[f77,f81,f85,f104,f106,f262,f287,f386,f417,f419,f445,f478,f749,f905])).
% 1.31/0.72 % SZS output end CNFRefutation for theBenchmark.p
% 2.04/0.72 % Elapsed time: 0.368244 seconds
% 2.04/0.72 % CPU time: 2.642471 seconds
% 2.04/0.72 % Total memory used: 123.317 MB
% 2.04/0.72 % Net memory used: 119.209 MB
%------------------------------------------------------------------------------