%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET858-2 : 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 : n020.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 0.09s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET858-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 05:42:47 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.43 % Refutation found
% 0.09/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.43 fof(f1,negated_conjecture,(
% 0.09/0.43 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f2,negated_conjecture,(
% 0.09/0.43 c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f3,negated_conjecture,(
% 0.09/0.43 ~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f4,negated_conjecture,(
% 0.09/0.43 ~ c_lessequals(v_m,v_n,tc_set(tc_set(t_a))) ),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f5,axiom,(
% 0.09/0.43 (![V_B,V_C,T_a,V_A]: (( ~ c_lessequals(V_B,V_C,tc_set(T_a))| ~ c_lessequals(V_A,V_B,tc_set(T_a))| c_lessequals(V_A,V_C,tc_set(T_a)) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f6,axiom,(
% 0.09/0.43 (![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))) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f7,axiom,(
% 0.09/0.43 (![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))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f8,axiom,(
% 0.09/0.43 (![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))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f9,axiom,(
% 0.09/0.43 (![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))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f10,axiom,(
% 0.09/0.43 (![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))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f11,axiom,(
% 0.09/0.43 (![V_U,V_S,T_a,V_m]: (( ~ c_in(V_U,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_lessequals(V_U,V_m,tc_set(tc_set(T_a)))| c_lessequals(c_Zorn_Osucc(V_S,V_U,T_a),V_m,tc_set(tc_set(T_a)))| V_U = V_m ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f12,plain,(
% 0.09/0.43 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.43 fof(f13,plain,(
% 0.09/0.43 c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.43 fof(f14,plain,(
% 0.09/0.43 ~c_lessequals(v_n,v_m,tc_set(tc_set(t_a)))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.43 fof(f15,plain,(
% 0.09/0.43 ~c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.43 fof(f16,plain,(
% 0.09/0.43 ![V_C,T_a,V_A]: ((![V_B]: (~c_lessequals(V_B,V_C,tc_set(T_a))|~c_lessequals(V_A,V_B,tc_set(T_a))))|c_lessequals(V_A,V_C,tc_set(T_a)))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f5])).
% 0.09/0.43 fof(f17,plain,(
% 0.09/0.43 ![X0,X1,X2,X3]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X3,X0,tc_set(X2))|c_lessequals(X3,X1,tc_set(X2)))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.43 fof(f18,plain,(
% 0.09/0.43 ![X0,X1,X2]: (c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.43 fof(f19,plain,(
% 0.09/0.43 ![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))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.43 fof(f20,plain,(
% 0.09/0.43 ![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))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.43 fof(f21,plain,(
% 0.09/0.43 ![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))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.43 fof(f22,plain,(
% 0.09/0.43 ![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))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.43 fof(f23,plain,(
% 0.09/0.43 ![V_U,V_m]: ((![V_S,T_a]: (((~c_in(V_U,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))|~c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))))|~c_lessequals(V_U,V_m,tc_set(tc_set(T_a))))|c_lessequals(c_Zorn_Osucc(V_S,V_U,T_a),V_m,tc_set(tc_set(T_a)))))|V_U=V_m)),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f11])).
% 0.09/0.43 fof(f24,plain,(
% 0.09/0.43 ![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(X0,X3,tc_set(tc_set(X2)))|c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))|X0=X3)),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f23])).
% 0.09/0.43 fof(f25,plain,(
% 0.09/0.43 ![X0,X1,X2,X3]: (~c_lessequals(c_Zorn_Osucc(X0,X1,X2),X3,tc_set(tc_set(X2)))|c_lessequals(X1,X3,tc_set(tc_set(X2))))),
% 0.09/0.43 inference(resolution,[status(thm)],[f18,f17])).
% 0.09/0.43 fof(f74,plain,(
% 0.09/0.43 ![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,X0,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(v_m,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a))))),
% 0.09/0.43 inference(resolution,[status(thm)],[f19,f12])).
% 0.09/0.43 fof(f76,plain,(
% 0.09/0.43 ![X0]: (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(v_m,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_m,tc_set(tc_set(t_a))))),
% 0.09/0.43 inference(resolution,[status(thm)],[f20,f12])).
% 0.09/0.43 fof(f78,plain,(
% 0.09/0.43 ![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_m,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a))))),
% 0.09/0.43 inference(resolution,[status(thm)],[f21,f12])).
% 0.09/0.43 fof(f81,definition,(
% 0.09/0.43 sQ0_spl <=> (c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a)=v_n)),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f94,definition,(
% 0.09/0.43 sQ4_spl <=> (c_lessequals(v_n,v_m,tc_set(tc_set(t_a))))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f95,plain,(
% 0.09/0.43 c_lessequals(v_n,v_m,tc_set(tc_set(t_a)))|~sQ4_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f94])).
% 0.09/0.43 fof(f101,plain,(
% 0.09/0.43 $false|~sQ4_spl),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f95,f14])).
% 0.09/0.43 fof(f102,plain,(
% 0.09/0.43 ~sQ4_spl),
% 0.09/0.43 inference(contradiction_clause,[status(thm)],[f101])).
% 0.09/0.43 fof(f111,definition,(
% 0.09/0.43 sQ6_spl <=> (c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f112,plain,(
% 0.09/0.43 c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|~sQ6_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f111])).
% 0.09/0.43 fof(f147,plain,(
% 0.09/0.43 c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))),
% 0.09/0.43 inference(resolution,[status(thm)],[f74,f13])).
% 0.09/0.43 fof(f156,definition,(
% 0.09/0.43 sQ14_spl <=> (c_lessequals(v_m,v_n,tc_set(tc_set(t_a))))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f157,plain,(
% 0.09/0.43 c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))|~sQ14_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f156])).
% 0.09/0.43 fof(f159,definition,(
% 0.09/0.43 sQ15_spl <=> (c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f160,plain,(
% 0.09/0.43 c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))|~sQ15_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f159])).
% 0.09/0.43 fof(f162,plain,(
% 0.09/0.43 sQ6_spl|sQ14_spl|sQ15_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f147,f111,f156,f159])).
% 0.09/0.43 fof(f177,definition,(
% 0.09/0.43 sQ19_spl <=> (c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n,tc_set(tc_set(t_a))))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f200,definition,(
% 0.09/0.43 sQ23_spl <=> (c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),v_n,tc_set(tc_set(t_a))))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f201,plain,(
% 0.09/0.43 c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),v_n,tc_set(tc_set(t_a)))|~sQ23_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f200])).
% 0.09/0.43 fof(f229,plain,(
% 0.09/0.43 c_lessequals(v_n,v_m,tc_set(tc_set(t_a)))|~sQ15_spl),
% 0.09/0.43 inference(resolution,[status(thm)],[f160,f25])).
% 0.09/0.43 fof(f231,plain,(
% 0.09/0.43 sQ4_spl|~sQ15_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f229,f94,f159])).
% 0.09/0.43 fof(f234,plain,(
% 0.09/0.43 ![X0]: (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|~c_lessequals(X0,v_n,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_n,tc_set(tc_set(t_a)))|X0=v_n)),
% 0.09/0.43 inference(resolution,[status(thm)],[f24,f13])).
% 0.09/0.43 fof(f237,plain,(
% 0.09/0.43 c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))),
% 0.09/0.43 inference(resolution,[status(thm)],[f76,f13])).
% 0.09/0.43 fof(f240,plain,(
% 0.09/0.43 sQ14_spl|sQ19_spl|sQ15_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f237,f156,f177,f159])).
% 0.09/0.43 fof(f242,plain,(
% 0.09/0.43 $false|~sQ14_spl),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f157,f15])).
% 0.09/0.43 fof(f243,plain,(
% 0.09/0.43 ~sQ14_spl),
% 0.09/0.43 inference(contradiction_clause,[status(thm)],[f242])).
% 0.09/0.43 fof(f250,plain,(
% 0.09/0.43 ~c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a)=v_n|c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))),
% 0.09/0.43 inference(resolution,[status(thm)],[f78,f13])).
% 0.09/0.43 fof(f253,plain,(
% 0.09/0.43 ~sQ0_spl|sQ14_spl|sQ15_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f250,f81,f156,f159])).
% 0.09/0.43 fof(f276,plain,(
% 0.09/0.43 ![X0]: (~c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(X0,v_n,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))|~sQ23_spl)),
% 0.09/0.43 inference(resolution,[status(thm)],[f201,f22])).
% 0.09/0.43 fof(f279,definition,(
% 0.09/0.43 sQ28_spl <=> (c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f281,plain,(
% 0.09/0.43 ~c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|sQ28_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f279])).
% 0.09/0.43 fof(f282,definition,(
% 0.09/0.43 ![X0]: (sQ29_spl <=> (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(X0,v_n,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f283,plain,(
% 0.09/0.43 ![X0]: (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(X0,v_n,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))|~sQ29_spl)),
% 0.09/0.43 inference(component_clause,[status(thm)],[f282])).
% 0.09/0.43 fof(f285,plain,(
% 0.09/0.43 ~sQ28_spl|sQ29_spl|~sQ23_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f276,f279,f282,f200])).
% 0.09/0.43 fof(f287,plain,(
% 0.09/0.43 ~c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),v_n,tc_set(tc_set(t_a)))|c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a)=v_n|~sQ6_spl),
% 0.09/0.43 inference(resolution,[status(thm)],[f234,f112])).
% 0.09/0.43 fof(f291,plain,(
% 0.09/0.43 ~sQ19_spl|sQ23_spl|sQ0_spl|~sQ6_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f287,f177,f200,f81,f111])).
% 0.09/0.43 fof(f307,plain,(
% 0.09/0.43 $false|sQ28_spl),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f281,f13])).
% 0.09/0.43 fof(f308,plain,(
% 0.09/0.43 sQ28_spl),
% 0.09/0.43 inference(contradiction_clause,[status(thm)],[f307])).
% 0.09/0.43 fof(f329,definition,(
% 0.09/0.43 sQ37_spl <=> (c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f331,plain,(
% 0.09/0.43 ~c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|sQ37_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f329])).
% 0.09/0.43 fof(f336,plain,(
% 0.09/0.43 $false|sQ37_spl),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f331,f12])).
% 0.09/0.43 fof(f337,plain,(
% 0.09/0.43 sQ37_spl),
% 0.09/0.43 inference(contradiction_clause,[status(thm)],[f336])).
% 0.09/0.43 fof(f1255,definition,(
% 0.09/0.43 sQ109_spl <=> (c_lessequals(v_m,c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a))))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f1257,plain,(
% 0.09/0.43 ~c_lessequals(v_m,c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a)))|sQ109_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f1255])).
% 0.09/0.43 fof(f1259,plain,(
% 0.09/0.43 $false|sQ109_spl),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1257,f18])).
% 0.09/0.43 fof(f1260,plain,(
% 0.09/0.43 sQ109_spl),
% 0.09/0.43 inference(contradiction_clause,[status(thm)],[f1259])).
% 0.09/0.43 fof(f1303,definition,(
% 0.09/0.43 sQ112_spl <=> (c_lessequals(v_n,c_Zorn_Osucc(v_S,v_n,t_a),tc_set(tc_set(t_a))))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f1305,plain,(
% 0.09/0.43 ~c_lessequals(v_n,c_Zorn_Osucc(v_S,v_n,t_a),tc_set(tc_set(t_a)))|sQ112_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f1303])).
% 0.09/0.43 fof(f1401,plain,(
% 0.09/0.43 $false|sQ112_spl),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1305,f18])).
% 0.09/0.43 fof(f1402,plain,(
% 0.09/0.43 sQ112_spl),
% 0.09/0.43 inference(contradiction_clause,[status(thm)],[f1401])).
% 0.09/0.43 fof(f1426,plain,(
% 0.09/0.43 c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))|~sQ29_spl),
% 0.09/0.43 inference(resolution,[status(thm)],[f283,f12])).
% 0.09/0.43 fof(f1435,plain,(
% 0.09/0.43 sQ14_spl|sQ15_spl|~sQ29_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f1426,f156,f159,f282])).
% 0.09/0.43 fof(f1436,plain,(
% 0.09/0.43 $false),
% 0.09/0.43 inference(sat_refutation,[status(thm)],[f102,f162,f231,f240,f243,f253,f285,f291,f308,f337,f1260,f1402,f1435])).
% 0.09/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.46 % Elapsed time: 0.082997 seconds
% 0.09/0.46 % CPU time: 0.425198 seconds
% 0.09/0.46 % Total memory used: 88.194 MB
% 0.09/0.46 % Net memory used: 87.404 MB
%------------------------------------------------------------------------------