TSTP Solution File: SET857-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET857-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 : Tue Apr 30 20:40:34 EDT 2024
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SET857-2 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n031.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 29 22:16:13 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.6.0
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f1,axiom,(
% 0.14/0.39 (![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) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f2,axiom,(
% 0.14/0.39 (![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)) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f3,axiom,(
% 0.14/0.39 (![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)) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f4,axiom,(
% 0.14/0.39 (![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))) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f5,axiom,(
% 0.14/0.39 (![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))) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f6,axiom,(
% 0.14/0.39 (![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))) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f7,axiom,(
% 0.14/0.39 (![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))) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f8,axiom,(
% 0.14/0.39 (![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))) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f9,negated_conjecture,(
% 0.14/0.39 c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f10,negated_conjecture,(
% 0.14/0.39 c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f11,negated_conjecture,(
% 0.14/0.39 c_in(v_x,v_Y,tc_set(tc_set(t_a))) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f12,negated_conjecture,(
% 0.14/0.39 ~ c_lessequals(v_x,v_n,tc_set(tc_set(t_a))) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f13,negated_conjecture,(
% 0.14/0.39 ~ c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_x,tc_set(tc_set(t_a))) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f14,negated_conjecture,(
% 0.14/0.39 (![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))) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f15,plain,(
% 0.14/0.39 ![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))),
% 0.14/0.39 inference(miniscoping,[status(esa)],[f1])).
% 0.14/0.39 fof(f16,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f15])).
% 0.14/0.39 fof(f17,plain,(
% 0.14/0.39 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.39 fof(f18,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.39 fof(f19,plain,(
% 0.14/0.39 ![X0,X1,X2]: (c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f4])).
% 0.14/0.39 fof(f20,plain,(
% 0.14/0.39 ![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))))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.39 fof(f21,plain,(
% 0.14/0.39 ![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))))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.39 fof(f22,plain,(
% 0.14/0.39 ![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))))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f7])).
% 0.14/0.39 fof(f23,plain,(
% 0.14/0.39 ![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))))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.39 fof(f24,plain,(
% 0.14/0.39 c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f9])).
% 0.14/0.39 fof(f25,plain,(
% 0.14/0.39 c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f10])).
% 0.14/0.39 fof(f26,plain,(
% 0.14/0.39 c_in(v_x,v_Y,tc_set(tc_set(t_a)))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f11])).
% 0.14/0.39 fof(f27,plain,(
% 0.14/0.39 ~c_lessequals(v_x,v_n,tc_set(tc_set(t_a)))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f12])).
% 0.14/0.39 fof(f28,plain,(
% 0.14/0.39 ~c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_x,tc_set(tc_set(t_a)))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.39 fof(f29,plain,(
% 0.14/0.39 ![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))))),
% 0.14/0.39 inference(miniscoping,[status(esa)],[f14])).
% 0.14/0.39 fof(f30,plain,(
% 0.14/0.39 ![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))))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f29])).
% 0.14/0.39 fof(f32,plain,(
% 0.14/0.39 ![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))))),
% 0.14/0.39 inference(resolution,[status(thm)],[f16,f26])).
% 0.14/0.39 fof(f33,plain,(
% 0.14/0.39 c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.14/0.39 inference(resolution,[status(thm)],[f32,f24])).
% 0.14/0.39 fof(f52,plain,(
% 0.14/0.39 spl0_2 <=> ~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)))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f53,plain,(
% 0.14/0.39 ![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)))|~spl0_2)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f52])).
% 0.14/0.39 fof(f55,plain,(
% 0.14/0.39 spl0_3 <=> c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a)=v_x),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f58,plain,(
% 0.14/0.39 ![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))))),
% 0.14/0.39 inference(resolution,[status(thm)],[f22,f33])).
% 0.14/0.39 fof(f59,plain,(
% 0.14/0.39 spl0_2|~spl0_3),
% 0.14/0.39 inference(split_clause,[status(thm)],[f58,f52,f55])).
% 0.14/0.39 fof(f60,plain,(
% 0.14/0.39 ![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))))),
% 0.14/0.39 inference(resolution,[status(thm)],[f23,f25])).
% 0.14/0.39 fof(f62,plain,(
% 0.14/0.39 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1))|c_lessequals(X0,X0,tc_set(X1)))),
% 0.14/0.39 inference(resolution,[status(thm)],[f17,f18])).
% 0.14/0.39 fof(f63,plain,(
% 0.14/0.39 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 0.14/0.39 inference(duplicate_literals_removal,[status(esa)],[f62])).
% 0.14/0.39 fof(f66,plain,(
% 0.14/0.39 ![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))),
% 0.14/0.39 inference(resolution,[status(thm)],[f17,f16])).
% 0.14/0.39 fof(f73,plain,(
% 0.14/0.39 ![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)))),
% 0.14/0.39 inference(resolution,[status(thm)],[f66,f19])).
% 0.14/0.39 fof(f78,plain,(
% 0.14/0.39 ![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)))),
% 0.14/0.39 inference(resolution,[status(thm)],[f73,f16])).
% 0.14/0.39 fof(f104,plain,(
% 0.14/0.39 spl0_5 <=> 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)))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f107,plain,(
% 0.14/0.39 ![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))))),
% 0.14/0.39 inference(resolution,[status(thm)],[f20,f33])).
% 0.14/0.39 fof(f108,plain,(
% 0.14/0.39 spl0_2|spl0_5),
% 0.14/0.39 inference(split_clause,[status(thm)],[f107,f52,f104])).
% 0.14/0.39 fof(f115,plain,(
% 0.14/0.39 spl0_7 <=> c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f116,plain,(
% 0.14/0.39 c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))|~spl0_7),
% 0.14/0.39 inference(component_clause,[status(thm)],[f115])).
% 0.14/0.39 fof(f118,plain,(
% 0.14/0.39 ![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))))),
% 0.14/0.39 inference(resolution,[status(thm)],[f21,f33])).
% 0.14/0.39 fof(f119,plain,(
% 0.14/0.39 spl0_2|spl0_7),
% 0.14/0.39 inference(split_clause,[status(thm)],[f118,f52,f115])).
% 0.14/0.39 fof(f121,plain,(
% 0.14/0.39 spl0_8 <=> c_lessequals(v_n,v_x,tc_set(tc_set(t_a)))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f122,plain,(
% 0.14/0.39 c_lessequals(v_n,v_x,tc_set(tc_set(t_a)))|~spl0_8),
% 0.14/0.39 inference(component_clause,[status(thm)],[f121])).
% 0.14/0.39 fof(f124,plain,(
% 0.14/0.39 spl0_9 <=> c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_n,tc_set(tc_set(t_a)))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f125,plain,(
% 0.14/0.39 c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_n,tc_set(tc_set(t_a)))|~spl0_9),
% 0.14/0.39 inference(component_clause,[status(thm)],[f124])).
% 0.14/0.39 fof(f127,plain,(
% 0.14/0.39 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)))|~spl0_2),
% 0.14/0.39 inference(resolution,[status(thm)],[f53,f25])).
% 0.14/0.39 fof(f128,plain,(
% 0.14/0.39 spl0_8|spl0_9|~spl0_2),
% 0.14/0.39 inference(split_clause,[status(thm)],[f127,f121,f124,f52])).
% 0.14/0.39 fof(f137,plain,(
% 0.14/0.39 spl0_12 <=> c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_x,tc_set(tc_set(t_a)))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f138,plain,(
% 0.14/0.39 c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_x,tc_set(tc_set(t_a)))|~spl0_12),
% 0.14/0.39 inference(component_clause,[status(thm)],[f137])).
% 0.14/0.39 fof(f140,plain,(
% 0.14/0.39 spl0_13 <=> v_n=v_x),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f141,plain,(
% 0.14/0.39 v_n=v_x|~spl0_13),
% 0.14/0.39 inference(component_clause,[status(thm)],[f140])).
% 0.14/0.39 fof(f143,plain,(
% 0.14/0.39 spl0_14 <=> c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f145,plain,(
% 0.14/0.39 ~c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|spl0_14),
% 0.14/0.39 inference(component_clause,[status(thm)],[f143])).
% 0.14/0.39 fof(f146,plain,(
% 0.14/0.39 spl0_15 <=> c_in(v_x,v_Y,tc_set(tc_set(t_a)))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f148,plain,(
% 0.14/0.39 ~c_in(v_x,v_Y,tc_set(tc_set(t_a)))|spl0_15),
% 0.14/0.39 inference(component_clause,[status(thm)],[f146])).
% 0.14/0.39 fof(f149,plain,(
% 0.14/0.39 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)))|~spl0_8),
% 0.14/0.39 inference(resolution,[status(thm)],[f122,f30])).
% 0.14/0.39 fof(f150,plain,(
% 0.14/0.39 spl0_12|spl0_13|~spl0_14|~spl0_15|~spl0_8),
% 0.14/0.39 inference(split_clause,[status(thm)],[f149,f137,f140,f143,f146,f121])).
% 0.14/0.39 fof(f152,plain,(
% 0.14/0.39 $false|spl0_15),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f148,f26])).
% 0.14/0.39 fof(f153,plain,(
% 0.14/0.39 spl0_15),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f152])).
% 0.14/0.39 fof(f154,plain,(
% 0.14/0.39 $false|spl0_14),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f145,f25])).
% 0.14/0.39 fof(f155,plain,(
% 0.14/0.39 spl0_14),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f154])).
% 0.14/0.39 fof(f168,plain,(
% 0.14/0.39 ~c_lessequals(v_n,v_n,tc_set(tc_set(t_a)))|~spl0_13),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f141,f27])).
% 0.14/0.39 fof(f169,plain,(
% 0.14/0.39 $false|~spl0_13),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f168,f63])).
% 0.14/0.39 fof(f170,plain,(
% 0.14/0.39 ~spl0_13),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f169])).
% 0.14/0.39 fof(f171,plain,(
% 0.14/0.39 $false|~spl0_12),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f28,f138])).
% 0.14/0.39 fof(f172,plain,(
% 0.14/0.39 ~spl0_12),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f171])).
% 0.14/0.39 fof(f182,plain,(
% 0.14/0.39 ![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))|~spl0_9)),
% 0.14/0.39 inference(resolution,[status(thm)],[f125,f78])).
% 0.14/0.39 fof(f198,plain,(
% 0.14/0.39 spl0_22 <=> 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)))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f199,plain,(
% 0.14/0.39 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)))|~spl0_22),
% 0.14/0.39 inference(component_clause,[status(thm)],[f198])).
% 0.14/0.39 fof(f201,plain,(
% 0.14/0.39 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)))|~spl0_7),
% 0.14/0.39 inference(resolution,[status(thm)],[f116,f30])).
% 0.14/0.39 fof(f202,plain,(
% 0.14/0.39 spl0_22|spl0_3|~spl0_5|~spl0_15|~spl0_7),
% 0.14/0.39 inference(split_clause,[status(thm)],[f201,f198,f55,f104,f146,f115])).
% 0.14/0.39 fof(f241,plain,(
% 0.14/0.39 spl0_31 <=> c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f243,plain,(
% 0.14/0.39 ~c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|spl0_31),
% 0.14/0.39 inference(component_clause,[status(thm)],[f241])).
% 0.14/0.39 fof(f244,plain,(
% 0.14/0.39 ~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)))|~spl0_22),
% 0.14/0.39 inference(resolution,[status(thm)],[f199,f60])).
% 0.14/0.39 fof(f245,plain,(
% 0.14/0.39 ~spl0_31|spl0_8|spl0_9|~spl0_22),
% 0.14/0.39 inference(split_clause,[status(thm)],[f244,f241,f121,f124,f198])).
% 0.14/0.39 fof(f258,plain,(
% 0.14/0.39 $false|spl0_31),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f243,f33])).
% 0.14/0.39 fof(f259,plain,(
% 0.14/0.39 spl0_31),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f258])).
% 0.14/0.39 fof(f355,plain,(
% 0.14/0.39 spl0_45 <=> c_lessequals(v_x,v_n,tc_set(tc_set(t_a)))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f356,plain,(
% 0.14/0.39 c_lessequals(v_x,v_n,tc_set(tc_set(t_a)))|~spl0_45),
% 0.14/0.39 inference(component_clause,[status(thm)],[f355])).
% 0.14/0.39 fof(f358,plain,(
% 0.14/0.39 c_lessequals(v_x,v_n,tc_set(tc_set(t_a)))|c_lessequals(v_x,v_n,tc_set(tc_set(t_a)))|~spl0_9),
% 0.14/0.39 inference(resolution,[status(thm)],[f182,f18])).
% 0.14/0.39 fof(f359,plain,(
% 0.14/0.39 spl0_45|~spl0_9),
% 0.14/0.39 inference(split_clause,[status(thm)],[f358,f355,f124])).
% 0.14/0.39 fof(f361,plain,(
% 0.14/0.39 $false|~spl0_45),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f356,f27])).
% 0.14/0.39 fof(f362,plain,(
% 0.14/0.39 ~spl0_45),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f361])).
% 0.14/0.39 fof(f363,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f59,f108,f119,f128,f150,f153,f155,f170,f172,f202,f245,f259,f359,f362])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.101260 seconds
% 0.14/0.40 % CPU time: 0.717425 seconds
% 0.14/0.40 % Total memory used: 66.808 MB
% 0.14/0.40 % Net memory used: 66.407 MB
%------------------------------------------------------------------------------