TSTP Solution File: SET858-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET858-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:35:24 EDT 2023
% Result : Unsatisfiable 0.20s 0.44s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET858-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:49:00 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.20/0.44 % Refutation found
% 0.20/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.44 fof(f1,negated_conjecture,(
% 0.20/0.44 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f2,negated_conjecture,(
% 0.20/0.44 c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f3,negated_conjecture,(
% 0.20/0.44 ~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f4,negated_conjecture,(
% 0.20/0.44 ~ c_lessequals(v_m,v_n,tc_set(tc_set(t_a))) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f5,axiom,(
% 0.20/0.44 (![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)) ) ))),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f6,axiom,(
% 0.20/0.44 (![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))) ))),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f7,axiom,(
% 0.20/0.44 (![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))) ) ))),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f8,axiom,(
% 0.20/0.44 (![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))) ) ))),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f9,axiom,(
% 0.20/0.44 (![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))) ) ))),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f10,axiom,(
% 0.20/0.44 (![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))) ) ))),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f11,axiom,(
% 0.20/0.44 (![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 ) ))),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f12,plain,(
% 0.20/0.44 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f1])).
% 0.20/0.44 fof(f13,plain,(
% 0.20/0.44 c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.44 fof(f14,plain,(
% 0.20/0.44 ~c_lessequals(v_n,v_m,tc_set(tc_set(t_a)))),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.44 fof(f15,plain,(
% 0.20/0.44 ~c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.44 fof(f16,plain,(
% 0.20/0.44 ![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)))),
% 0.20/0.44 inference(miniscoping,[status(esa)],[f5])).
% 0.20/0.44 fof(f17,plain,(
% 0.20/0.44 ![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)))),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.44 fof(f18,plain,(
% 0.20/0.44 ![X0,X1,X2]: (c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))))),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.45 fof(f19,plain,(
% 0.20/0.45 ![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))))),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f7])).
% 0.20/0.45 fof(f20,plain,(
% 0.20/0.45 ![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))))),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f8])).
% 0.20/0.45 fof(f21,plain,(
% 0.20/0.45 ![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))))),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.45 fof(f22,plain,(
% 0.20/0.45 ![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))))),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f10])).
% 0.20/0.45 fof(f23,plain,(
% 0.20/0.45 ![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)),
% 0.20/0.45 inference(miniscoping,[status(esa)],[f11])).
% 0.20/0.45 fof(f24,plain,(
% 0.20/0.45 ![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)),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f23])).
% 0.20/0.45 fof(f25,plain,(
% 0.20/0.45 ![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))))),
% 0.20/0.45 inference(resolution,[status(thm)],[f18,f17])).
% 0.20/0.45 fof(f115,plain,(
% 0.20/0.45 spl0_3 <=> c_lessequals(v_n,v_m,tc_set(tc_set(t_a)))),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f116,plain,(
% 0.20/0.45 c_lessequals(v_n,v_m,tc_set(tc_set(t_a)))|~spl0_3),
% 0.20/0.45 inference(component_clause,[status(thm)],[f115])).
% 0.20/0.45 fof(f126,plain,(
% 0.20/0.45 spl0_6 <=> c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f127,plain,(
% 0.20/0.45 c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))|~spl0_6),
% 0.20/0.45 inference(component_clause,[status(thm)],[f126])).
% 0.20/0.45 fof(f129,plain,(
% 0.20/0.45 spl0_7 <=> c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_n,tc_set(tc_set(t_a)))),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f130,plain,(
% 0.20/0.45 c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_n,tc_set(tc_set(t_a)))|~spl0_7),
% 0.20/0.45 inference(component_clause,[status(thm)],[f129])).
% 0.20/0.45 fof(f153,plain,(
% 0.20/0.45 spl0_13 <=> ~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(X0,v_m,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X0,tc_set(tc_set(t_a)))),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f154,plain,(
% 0.20/0.45 ![X0]: (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(X0,v_m,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X0,tc_set(tc_set(t_a)))|~spl0_13)),
% 0.20/0.45 inference(component_clause,[status(thm)],[f153])).
% 0.20/0.45 fof(f156,plain,(
% 0.20/0.45 spl0_14 <=> c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a)))),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f157,plain,(
% 0.20/0.45 c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a)))|~spl0_14),
% 0.20/0.45 inference(component_clause,[status(thm)],[f156])).
% 0.20/0.45 fof(f159,plain,(
% 0.20/0.45 ![X0]: (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(X0,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),X0,tc_set(tc_set(t_a))))),
% 0.20/0.45 inference(resolution,[status(thm)],[f20,f12])).
% 0.20/0.45 fof(f160,plain,(
% 0.20/0.45 spl0_13|spl0_14),
% 0.20/0.45 inference(split_clause,[status(thm)],[f159,f153,f156])).
% 0.20/0.45 fof(f161,plain,(
% 0.20/0.45 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)))|~spl0_13),
% 0.20/0.45 inference(resolution,[status(thm)],[f154,f13])).
% 0.20/0.45 fof(f162,plain,(
% 0.20/0.45 spl0_3|spl0_7|~spl0_13),
% 0.20/0.45 inference(split_clause,[status(thm)],[f161,f115,f129,f153])).
% 0.20/0.45 fof(f174,plain,(
% 0.20/0.45 spl0_16 <=> 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)))),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f175,plain,(
% 0.20/0.45 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)))|~spl0_16),
% 0.20/0.45 inference(component_clause,[status(thm)],[f174])).
% 0.20/0.45 fof(f177,plain,(
% 0.20/0.45 ![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_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(X0,v_m,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X0,tc_set(tc_set(t_a))))),
% 0.20/0.45 inference(resolution,[status(thm)],[f19,f12])).
% 0.20/0.45 fof(f178,plain,(
% 0.20/0.45 spl0_13|spl0_16),
% 0.20/0.45 inference(split_clause,[status(thm)],[f177,f153,f174])).
% 0.20/0.45 fof(f179,plain,(
% 0.20/0.45 c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))|~spl0_7),
% 0.20/0.45 inference(resolution,[status(thm)],[f130,f25])).
% 0.20/0.45 fof(f180,plain,(
% 0.20/0.45 $false|~spl0_7),
% 0.20/0.45 inference(forward_subsumption_resolution,[status(thm)],[f179,f15])).
% 0.20/0.45 fof(f181,plain,(
% 0.20/0.45 ~spl0_7),
% 0.20/0.45 inference(contradiction_clause,[status(thm)],[f180])).
% 0.20/0.45 fof(f182,plain,(
% 0.20/0.45 $false|~spl0_3),
% 0.20/0.45 inference(forward_subsumption_resolution,[status(thm)],[f116,f14])).
% 0.20/0.45 fof(f183,plain,(
% 0.20/0.45 ~spl0_3),
% 0.20/0.45 inference(contradiction_clause,[status(thm)],[f182])).
% 0.20/0.45 fof(f226,plain,(
% 0.20/0.45 spl0_22 <=> v_m=c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a)),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f227,plain,(
% 0.20/0.45 v_m=c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a)|~spl0_22),
% 0.20/0.45 inference(component_clause,[status(thm)],[f226])).
% 0.20/0.45 fof(f244,plain,(
% 0.20/0.45 ![X0]: (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|~c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),X0,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),X0,tc_set(tc_set(t_a)))|c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a)=X0|~spl0_16)),
% 0.20/0.45 inference(resolution,[status(thm)],[f175,f24])).
% 0.20/0.45 fof(f269,plain,(
% 0.20/0.45 spl0_29 <=> 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)))),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f270,plain,(
% 0.20/0.45 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)))|~spl0_29),
% 0.20/0.45 inference(component_clause,[status(thm)],[f269])).
% 0.20/0.45 fof(f335,plain,(
% 0.20/0.45 spl0_30 <=> c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f337,plain,(
% 0.20/0.45 ~c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|spl0_30),
% 0.20/0.45 inference(component_clause,[status(thm)],[f335])).
% 0.20/0.45 fof(f338,plain,(
% 0.20/0.45 ![X0]: (~c_in(v_m,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_m,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X0,tc_set(tc_set(t_a)))|~spl0_22)),
% 0.20/0.45 inference(resolution,[status(thm)],[f227,f21])).
% 0.20/0.45 fof(f339,plain,(
% 0.20/0.45 ~spl0_30|spl0_13|~spl0_22),
% 0.20/0.45 inference(split_clause,[status(thm)],[f338,f335,f153,f226])).
% 0.20/0.45 fof(f344,plain,(
% 0.20/0.45 $false|spl0_30),
% 0.20/0.45 inference(forward_subsumption_resolution,[status(thm)],[f337,f12])).
% 0.20/0.45 fof(f345,plain,(
% 0.20/0.45 spl0_30),
% 0.20/0.45 inference(contradiction_clause,[status(thm)],[f344])).
% 0.20/0.45 fof(f450,plain,(
% 0.20/0.45 ~c_in(v_m,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_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a)=v_m|~spl0_14|~spl0_16),
% 0.20/0.45 inference(resolution,[status(thm)],[f157,f244])).
% 0.20/0.45 fof(f451,plain,(
% 0.20/0.45 ~spl0_30|spl0_29|spl0_22|~spl0_14|~spl0_16),
% 0.20/0.45 inference(split_clause,[status(thm)],[f450,f335,f269,f226,f156,f174])).
% 0.20/0.45 fof(f490,plain,(
% 0.20/0.45 $false|~spl0_6),
% 0.20/0.45 inference(forward_subsumption_resolution,[status(thm)],[f127,f15])).
% 0.20/0.45 fof(f491,plain,(
% 0.20/0.45 ~spl0_6),
% 0.20/0.45 inference(contradiction_clause,[status(thm)],[f490])).
% 0.20/0.45 fof(f568,plain,(
% 0.20/0.45 spl0_47 <=> c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f570,plain,(
% 0.20/0.45 ~c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|spl0_47),
% 0.20/0.45 inference(component_clause,[status(thm)],[f568])).
% 0.20/0.45 fof(f584,plain,(
% 0.20/0.45 $false|spl0_47),
% 0.20/0.45 inference(forward_subsumption_resolution,[status(thm)],[f570,f13])).
% 0.20/0.45 fof(f585,plain,(
% 0.20/0.45 spl0_47),
% 0.20/0.45 inference(contradiction_clause,[status(thm)],[f584])).
% 0.20/0.45 fof(f819,plain,(
% 0.20/0.45 ![X0]: (~c_in(v_m,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_m,tc_set(tc_set(t_a)))|c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X0,tc_set(tc_set(t_a)))|~spl0_29)),
% 0.20/0.45 inference(resolution,[status(thm)],[f270,f22])).
% 0.20/0.45 fof(f820,plain,(
% 0.20/0.45 ~spl0_30|spl0_13|~spl0_29),
% 0.20/0.45 inference(split_clause,[status(thm)],[f819,f335,f153,f269])).
% 0.20/0.45 fof(f822,plain,(
% 0.20/0.45 $false),
% 0.20/0.45 inference(sat_refutation,[status(thm)],[f160,f162,f178,f181,f183,f339,f345,f451,f491,f585,f820])).
% 0.20/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.46 % Elapsed time: 0.119179 seconds
% 0.20/0.46 % CPU time: 0.395062 seconds
% 0.20/0.46 % Memory used: 49.030 MB
%------------------------------------------------------------------------------