TSTP Solution File: SET858-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n022.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 0.20s 0.47s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET858-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 21:41:58 EDT 2024
% 0.20/0.35 % CPUTime :
% 0.20/0.36 % Drodi V3.6.0
% 0.20/0.47 % Refutation found
% 0.20/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.47 fof(f1,negated_conjecture,(
% 0.20/0.47 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.20/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.47 fof(f2,negated_conjecture,(
% 0.20/0.47 c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.20/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.47 fof(f3,negated_conjecture,(
% 0.20/0.47 ~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
% 0.20/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.47 fof(f4,negated_conjecture,(
% 0.20/0.47 ~ c_lessequals(v_m,v_n,tc_set(tc_set(t_a))) ),
% 0.20/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.47 fof(f5,axiom,(
% 0.20/0.47 (![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)) ) ))),
% 0.20/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.47 fof(f6,axiom,(
% 0.20/0.47 (![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))) ))),
% 0.20/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.47 fof(f7,axiom,(
% 0.20/0.47 (![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))) ) ))),
% 0.20/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.47 fof(f8,axiom,(
% 0.20/0.47 (![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))) ) ))),
% 0.20/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.47 fof(f9,axiom,(
% 0.20/0.47 (![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))) ) ))),
% 0.20/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.47 fof(f10,axiom,(
% 0.20/0.47 (![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))) ) ))),
% 0.20/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.47 fof(f11,axiom,(
% 0.20/0.47 (![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 ) ))),
% 0.20/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.47 fof(f12,plain,(
% 0.20/0.47 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f1])).
% 0.20/0.47 fof(f13,plain,(
% 0.20/0.47 c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.47 fof(f14,plain,(
% 0.20/0.47 ~c_lessequals(v_n,v_m,tc_set(tc_set(t_a)))),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.47 fof(f15,plain,(
% 0.20/0.47 ~c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.47 fof(f16,plain,(
% 0.20/0.47 ![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)))),
% 0.20/0.47 inference(miniscoping,[status(esa)],[f5])).
% 0.20/0.47 fof(f17,plain,(
% 0.20/0.47 ![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)))),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.47 fof(f18,plain,(
% 0.20/0.47 ![X0,X1,X2]: (c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))))),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.47 fof(f19,plain,(
% 0.20/0.47 ![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))))),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f7])).
% 0.20/0.47 fof(f20,plain,(
% 0.20/0.47 ![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))))),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f8])).
% 0.20/0.47 fof(f21,plain,(
% 0.20/0.47 ![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))))),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.47 fof(f22,plain,(
% 0.20/0.47 ![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))))),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f10])).
% 0.20/0.47 fof(f23,plain,(
% 0.20/0.47 ![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)),
% 0.20/0.47 inference(miniscoping,[status(esa)],[f11])).
% 0.20/0.47 fof(f24,plain,(
% 0.20/0.47 ![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)),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f23])).
% 0.20/0.47 fof(f25,plain,(
% 0.20/0.47 ![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))))),
% 0.20/0.47 inference(resolution,[status(thm)],[f18,f17])).
% 0.20/0.47 fof(f278,plain,(
% 0.20/0.47 ![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,X0,t_a),v_m,tc_set(tc_set(t_a)))|X0=v_m)),
% 0.20/0.47 inference(resolution,[status(thm)],[f24,f12])).
% 0.20/0.47 fof(f279,plain,(
% 0.20/0.47 ![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_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))))),
% 0.20/0.47 inference(resolution,[status(thm)],[f21,f13])).
% 0.20/0.47 fof(f292,plain,(
% 0.20/0.47 spl0_3 <=> c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a)=v_m),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f295,plain,(
% 0.20/0.47 spl0_4 <=> c_lessequals(v_n,v_m,tc_set(tc_set(t_a)))),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f296,plain,(
% 0.20/0.47 c_lessequals(v_n,v_m,tc_set(tc_set(t_a)))|~spl0_4),
% 0.20/0.47 inference(component_clause,[status(thm)],[f295])).
% 0.20/0.47 fof(f298,plain,(
% 0.20/0.47 spl0_5 <=> c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_n,tc_set(tc_set(t_a)))),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f299,plain,(
% 0.20/0.47 c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_n,tc_set(tc_set(t_a)))|~spl0_5),
% 0.20/0.47 inference(component_clause,[status(thm)],[f298])).
% 0.20/0.47 fof(f301,plain,(
% 0.20/0.47 ~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)))),
% 0.20/0.47 inference(resolution,[status(thm)],[f279,f12])).
% 0.20/0.47 fof(f302,plain,(
% 0.20/0.47 ~spl0_3|spl0_4|spl0_5),
% 0.20/0.47 inference(split_clause,[status(thm)],[f301,f292,f295,f298])).
% 0.20/0.47 fof(f303,plain,(
% 0.20/0.47 spl0_6 <=> c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f304,plain,(
% 0.20/0.47 c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))|~spl0_6),
% 0.20/0.47 inference(component_clause,[status(thm)],[f303])).
% 0.20/0.47 fof(f319,plain,(
% 0.20/0.47 ![X0]: (~c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|c_lessequals(v_n,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_n,tc_set(tc_set(t_a))))),
% 0.20/0.47 inference(resolution,[status(thm)],[f20,f13])).
% 0.20/0.47 fof(f326,plain,(
% 0.20/0.47 spl0_11 <=> c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a)))),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f327,plain,(
% 0.20/0.47 c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a)))|~spl0_11),
% 0.20/0.47 inference(component_clause,[status(thm)],[f326])).
% 0.20/0.47 fof(f329,plain,(
% 0.20/0.47 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)))),
% 0.20/0.47 inference(resolution,[status(thm)],[f319,f12])).
% 0.20/0.47 fof(f330,plain,(
% 0.20/0.47 spl0_4|spl0_11|spl0_5),
% 0.20/0.47 inference(split_clause,[status(thm)],[f329,f295,f326,f298])).
% 0.20/0.47 fof(f331,plain,(
% 0.20/0.47 $false|~spl0_4),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f296,f14])).
% 0.20/0.47 fof(f332,plain,(
% 0.20/0.47 ~spl0_4),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f331])).
% 0.20/0.47 fof(f337,plain,(
% 0.20/0.47 ![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_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))))),
% 0.20/0.47 inference(resolution,[status(thm)],[f19,f13])).
% 0.20/0.47 fof(f344,plain,(
% 0.20/0.47 spl0_13 <=> 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)))),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f347,plain,(
% 0.20/0.47 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)))),
% 0.20/0.47 inference(resolution,[status(thm)],[f337,f12])).
% 0.20/0.47 fof(f348,plain,(
% 0.20/0.47 spl0_13|spl0_4|spl0_5),
% 0.20/0.47 inference(split_clause,[status(thm)],[f347,f344,f295,f298])).
% 0.20/0.47 fof(f353,plain,(
% 0.20/0.47 $false|~spl0_6),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f304,f15])).
% 0.20/0.47 fof(f354,plain,(
% 0.20/0.47 ~spl0_6),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f353])).
% 0.20/0.47 fof(f355,plain,(
% 0.20/0.47 spl0_14 <=> c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f357,plain,(
% 0.20/0.47 ~c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|spl0_14),
% 0.20/0.47 inference(component_clause,[status(thm)],[f355])).
% 0.20/0.47 fof(f363,plain,(
% 0.20/0.47 $false|spl0_14),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f357,f12])).
% 0.20/0.47 fof(f364,plain,(
% 0.20/0.47 spl0_14),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f363])).
% 0.20/0.47 fof(f408,plain,(
% 0.20/0.47 spl0_19 <=> c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f410,plain,(
% 0.20/0.47 ~c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|spl0_19),
% 0.20/0.47 inference(component_clause,[status(thm)],[f408])).
% 0.20/0.47 fof(f416,plain,(
% 0.20/0.47 $false|spl0_19),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f410,f13])).
% 0.20/0.47 fof(f417,plain,(
% 0.20/0.47 spl0_19),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f416])).
% 0.20/0.47 fof(f434,plain,(
% 0.20/0.47 c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))|~spl0_5),
% 0.20/0.47 inference(resolution,[status(thm)],[f299,f25])).
% 0.20/0.47 fof(f435,plain,(
% 0.20/0.47 spl0_6|~spl0_5),
% 0.20/0.47 inference(split_clause,[status(thm)],[f434,f303,f298])).
% 0.20/0.47 fof(f461,plain,(
% 0.20/0.47 spl0_30 <=> 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)))),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f462,plain,(
% 0.20/0.47 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_30),
% 0.20/0.47 inference(component_clause,[status(thm)],[f461])).
% 0.20/0.47 fof(f647,plain,(
% 0.20/0.47 spl0_45 <=> ~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)))),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f648,plain,(
% 0.20/0.47 ![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_45)),
% 0.20/0.47 inference(component_clause,[status(thm)],[f647])).
% 0.20/0.48 fof(f654,plain,(
% 0.20/0.48 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_45),
% 0.20/0.48 inference(resolution,[status(thm)],[f648,f13])).
% 0.20/0.48 fof(f655,plain,(
% 0.20/0.48 spl0_4|spl0_5|~spl0_45),
% 0.20/0.48 inference(split_clause,[status(thm)],[f654,f295,f298,f647])).
% 0.20/0.48 fof(f661,plain,(
% 0.20/0.48 ~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(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_11),
% 0.20/0.48 inference(resolution,[status(thm)],[f327,f278])).
% 0.20/0.48 fof(f662,plain,(
% 0.20/0.48 ~spl0_13|spl0_30|spl0_3|~spl0_11),
% 0.20/0.48 inference(split_clause,[status(thm)],[f661,f344,f461,f292,f326])).
% 0.20/0.48 fof(f858,plain,(
% 0.20/0.48 ![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_30)),
% 0.20/0.48 inference(resolution,[status(thm)],[f462,f22])).
% 0.20/0.48 fof(f859,plain,(
% 0.20/0.48 ~spl0_14|spl0_45|~spl0_30),
% 0.20/0.48 inference(split_clause,[status(thm)],[f858,f355,f647,f461])).
% 0.20/0.48 fof(f872,plain,(
% 0.20/0.48 $false),
% 0.20/0.48 inference(sat_refutation,[status(thm)],[f302,f330,f332,f348,f354,f364,f417,f435,f655,f662,f859])).
% 0.20/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.48 % Elapsed time: 0.131172 seconds
% 0.20/0.48 % CPU time: 0.921105 seconds
% 0.20/0.48 % Total memory used: 67.529 MB
% 0.20/0.48 % Net memory used: 67.033 MB
%------------------------------------------------------------------------------