TSTP Solution File: ITP023+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ITP023+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 20:22:58 EDT 2024
% Result : Theorem 42.28s 5.75s
% Output : CNFRefutation 42.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP023+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:10:20 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.37 % Drodi V3.6.0
% 42.28/5.75 % Refutation found
% 42.28/5.75 % SZS status Theorem for theBenchmark: Theorem is valid
% 42.28/5.75 % SZS output start CNFRefutation for theBenchmark
% 42.28/5.75 fof(f2,axiom,(
% 42.28/5.75 (! [V0_2E0,V1_2E0] :( ( p(s(tyop_2Emin_2Ebool,V0_2E0))<=> p(s(tyop_2Emin_2Ebool,V1_2E0)) )=> s(tyop_2Emin_2Ebool,V0_2E0) = s(tyop_2Emin_2Ebool,V1_2E0) ) )),
% 42.28/5.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.28/5.75 fof(f3,axiom,(
% 42.28/5.75 p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
% 42.28/5.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.28/5.75 fof(f5,axiom,(
% 42.28/5.75 (! [V0t_2E0] :( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)| s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ) )),
% 42.28/5.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.28/5.75 fof(f33,axiom,(
% 42.28/5.75 ( (! [V0t_2E0] :( ~ ~ p(s(tyop_2Emin_2Ebool,V0t_2E0))<=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ))& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ) ),
% 42.28/5.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.28/5.75 fof(f40,axiom,(
% 42.28/5.75 (! [V0x_2E0,V1e_2E0] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,V0x_2E0),s(tyop_2Erealax_2Ereal,V1e_2E0))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,V0x_2E0),s(tyop_2Erealax_2Ereal,V1e_2E0)))))))) )),
% 42.28/5.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.28/5.75 fof(f41,axiom,(
% 42.28/5.75 (! [V0s_2E0,V1t_2E0] :( ( p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),V1t_2E0))))& p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),V1t_2E0)))) )=> p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),V0s_2E0)))) ) )),
% 42.28/5.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.28/5.75 fof(f42,axiom,(
% 42.28/5.75 (! [V0x_2E0,V1e_2E0] : p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,V0x_2E0),s(tyop_2Erealax_2Ereal,V1e_2E0)))))))) )),
% 42.28/5.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.28/5.75 fof(f53,conjecture,(
% 42.28/5.75 (! [V0x_2E0,V1e_2E0] : p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,V0x_2E0),s(tyop_2Erealax_2Ereal,V1e_2E0)))))))) )),
% 42.28/5.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.28/5.75 fof(f54,negated_conjecture,(
% 42.28/5.75 ~((! [V0x_2E0,V1e_2E0] : p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,V0x_2E0),s(tyop_2Erealax_2Ereal,V1e_2E0)))))))) ))),
% 42.28/5.75 inference(negated_conjecture,[status(cth)],[f53])).
% 42.28/5.75 fof(f58,plain,(
% 42.28/5.75 ![V0_2E0,V1_2E0]: ((p(s(tyop_2Emin_2Ebool,V0_2E0))<~>p(s(tyop_2Emin_2Ebool,V1_2E0)))|s(tyop_2Emin_2Ebool,V0_2E0)=s(tyop_2Emin_2Ebool,V1_2E0))),
% 42.28/5.75 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 42.28/5.75 fof(f59,plain,(
% 42.28/5.75 ![V0_2E0,V1_2E0]: (((p(s(tyop_2Emin_2Ebool,V0_2E0))|p(s(tyop_2Emin_2Ebool,V1_2E0)))&(~p(s(tyop_2Emin_2Ebool,V0_2E0))|~p(s(tyop_2Emin_2Ebool,V1_2E0))))|s(tyop_2Emin_2Ebool,V0_2E0)=s(tyop_2Emin_2Ebool,V1_2E0))),
% 42.28/5.75 inference(NNF_transformation,[status(esa)],[f58])).
% 42.28/5.75 fof(f60,plain,(
% 42.28/5.75 ![X0,X1]: (p(s(tyop_2Emin_2Ebool,X0))|p(s(tyop_2Emin_2Ebool,X1))|s(tyop_2Emin_2Ebool,X0)=s(tyop_2Emin_2Ebool,X1))),
% 42.28/5.76 inference(cnf_transformation,[status(esa)],[f59])).
% 42.28/5.76 fof(f62,plain,(
% 42.28/5.76 p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))),
% 42.28/5.76 inference(cnf_transformation,[status(esa)],[f3])).
% 42.28/5.76 fof(f64,plain,(
% 42.28/5.76 ![X0]: (s(tyop_2Emin_2Ebool,X0)=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)|s(tyop_2Emin_2Ebool,X0)=s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))),
% 42.28/5.76 inference(cnf_transformation,[status(esa)],[f5])).
% 42.28/5.76 fof(f162,plain,(
% 42.28/5.76 ((![V0t_2E0]: ((~p(s(tyop_2Emin_2Ebool,V0t_2E0))|p(s(tyop_2Emin_2Ebool,V0t_2E0)))&(p(s(tyop_2Emin_2Ebool,V0t_2E0))|~p(s(tyop_2Emin_2Ebool,V0t_2E0)))))&((p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))|p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)))&(~p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))|~p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)))))&((p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))|p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)))&(~p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))|~p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))))),
% 42.28/5.76 inference(NNF_transformation,[status(esa)],[f33])).
% 42.28/5.76 fof(f163,plain,(
% 42.28/5.76 (((![V0t_2E0]: (~p(s(tyop_2Emin_2Ebool,V0t_2E0))|p(s(tyop_2Emin_2Ebool,V0t_2E0))))&(![V0t_2E0]: (p(s(tyop_2Emin_2Ebool,V0t_2E0))|~p(s(tyop_2Emin_2Ebool,V0t_2E0)))))&((p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))|p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)))&(~p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))|~p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)))))&((p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))|p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)))&(~p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))|~p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))))),
% 42.28/5.76 inference(miniscoping,[status(esa)],[f162])).
% 42.28/5.76 fof(f167,plain,(
% 42.28/5.76 ~p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))|~p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))),
% 42.28/5.76 inference(cnf_transformation,[status(esa)],[f163])).
% 42.28/5.76 fof(f215,plain,(
% 42.28/5.76 ![X0,X1]: (p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X0),s(tyop_2Erealax_2Ereal,X1))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X0),s(tyop_2Erealax_2Ereal,X1)))))))))),
% 42.28/5.76 inference(cnf_transformation,[status(esa)],[f40])).
% 42.28/5.76 fof(f216,plain,(
% 42.28/5.76 ![V0s_2E0,V1t_2E0]: ((~p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),V1t_2E0))))|~p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),V1t_2E0)))))|p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),V0s_2E0)))))),
% 42.28/5.76 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 42.28/5.76 fof(f217,plain,(
% 42.28/5.76 ![V0s_2E0]: ((![V1t_2E0]: (~p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),V1t_2E0))))|~p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),V1t_2E0))))))|p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),V0s_2E0)))))),
% 42.28/5.76 inference(miniscoping,[status(esa)],[f216])).
% 42.28/5.76 fof(f218,plain,(
% 42.28/5.76 ![X0,X1]: (~p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X0))))|~p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X0))))|p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1)))))),
% 42.28/5.76 inference(cnf_transformation,[status(esa)],[f217])).
% 42.28/5.76 fof(f219,plain,(
% 42.28/5.76 ![X0,X1]: (p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X0),s(tyop_2Erealax_2Ereal,X1)))))))))),
% 42.28/5.76 inference(cnf_transformation,[status(esa)],[f42])).
% 42.28/5.76 fof(f303,plain,(
% 42.28/5.76 (?[V0x_2E0,V1e_2E0]: ~p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,V0x_2E0),s(tyop_2Erealax_2Ereal,V1e_2E0)))))))))),
% 42.28/5.76 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 42.28/5.76 fof(f304,plain,(
% 42.28/5.76 ~p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,sk0_5),s(tyop_2Erealax_2Ereal,sk0_6))))))))),
% 42.28/5.76 inference(skolemization,[status(esa)],[f303])).
% 42.28/5.76 fof(f305,plain,(
% 42.28/5.76 ~p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,sk0_5),s(tyop_2Erealax_2Ereal,sk0_6))))))))),
% 42.28/5.76 inference(cnf_transformation,[status(esa)],[f304])).
% 42.28/5.76 fof(f414,plain,(
% 42.28/5.76 spl0_0 <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))),
% 42.28/5.76 introduced(split_symbol_definition)).
% 42.28/5.76 fof(f425,plain,(
% 42.28/5.76 spl0_3 <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))),
% 42.28/5.76 introduced(split_symbol_definition)).
% 42.28/5.76 fof(f445,plain,(
% 42.28/5.76 ~spl0_3|~spl0_0),
% 42.28/5.76 inference(split_clause,[status(thm)],[f167,f425,f414])).
% 42.28/5.76 fof(f513,plain,(
% 42.28/5.76 spl0_13 <=> p(s(tyop_2Emin_2Ebool,X0))|p(s(tyop_2Emin_2Ebool,X0))),
% 42.28/5.76 introduced(split_symbol_definition)).
% 42.28/5.76 fof(f514,plain,(
% 42.28/5.76 ![X0]: (p(s(tyop_2Emin_2Ebool,X0))|p(s(tyop_2Emin_2Ebool,X0))|~spl0_13)),
% 42.28/5.76 inference(component_clause,[status(thm)],[f513])).
% 42.28/5.76 fof(f516,plain,(
% 42.28/5.76 spl0_14 <=> p(s(tyop_2Emin_2Ebool,X1))|s(tyop_2Emin_2Ebool,X2)=s(tyop_2Emin_2Ebool,X1)|p(s(tyop_2Emin_2Ebool,X2))),
% 42.28/5.76 introduced(split_symbol_definition)).
% 42.28/5.76 fof(f517,plain,(
% 42.28/5.76 ![X0,X1]: (p(s(tyop_2Emin_2Ebool,X0))|s(tyop_2Emin_2Ebool,X1)=s(tyop_2Emin_2Ebool,X0)|p(s(tyop_2Emin_2Ebool,X1))|~spl0_14)),
% 42.28/5.76 inference(component_clause,[status(thm)],[f516])).
% 42.28/5.76 fof(f519,plain,(
% 42.28/5.76 ![X0,X1,X2]: (p(s(tyop_2Emin_2Ebool,X0))|p(s(tyop_2Emin_2Ebool,X1))|s(tyop_2Emin_2Ebool,X2)=s(tyop_2Emin_2Ebool,X1)|p(s(tyop_2Emin_2Ebool,X2))|p(s(tyop_2Emin_2Ebool,X0)))),
% 42.28/5.76 inference(paramodulation,[status(thm)],[f60,f60])).
% 42.28/5.76 fof(f520,plain,(
% 42.28/5.76 spl0_13|spl0_14),
% 42.28/5.76 inference(split_clause,[status(thm)],[f519,f513,f516])).
% 42.28/5.76 fof(f534,plain,(
% 42.28/5.76 ![X0]: (p(s(tyop_2Emin_2Ebool,X0))|~spl0_13)),
% 42.28/5.76 inference(duplicate_literals_removal,[status(esa)],[f514])).
% 42.28/5.76 fof(f535,plain,(
% 42.28/5.76 $false|~spl0_13),
% 42.28/5.76 inference(backward_subsumption_resolution,[status(thm)],[f305,f534])).
% 42.28/5.76 fof(f536,plain,(
% 42.28/5.76 ~spl0_13),
% 42.28/5.76 inference(contradiction_clause,[status(thm)],[f535])).
% 42.28/5.76 fof(f547,plain,(
% 42.28/5.76 spl0_17 <=> s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X0),s(tyop_2Erealax_2Ereal,X1))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X0),s(tyop_2Erealax_2Ereal,X1)))))))=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
% 42.28/5.76 introduced(split_symbol_definition)).
% 42.28/5.76 fof(f548,plain,(
% 42.28/5.76 ![X0,X1]: (s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X0),s(tyop_2Erealax_2Ereal,X1))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X0),s(tyop_2Erealax_2Ereal,X1)))))))=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)|~spl0_17)),
% 42.28/5.76 inference(component_clause,[status(thm)],[f547])).
% 42.28/5.76 fof(f550,plain,(
% 42.28/5.76 ![X0,X1]: (p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))|s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X0),s(tyop_2Erealax_2Ereal,X1))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X0),s(tyop_2Erealax_2Ereal,X1)))))))=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))),
% 42.28/5.76 inference(paramodulation,[status(thm)],[f64,f215])).
% 42.28/5.76 fof(f551,plain,(
% 42.28/5.76 spl0_0|spl0_17),
% 42.28/5.76 inference(split_clause,[status(thm)],[f550,f414,f547])).
% 42.28/5.76 fof(f763,plain,(
% 42.28/5.76 ![X0]: (p(s(tyop_2Emin_2Ebool,X0))|p(s(tyop_2Emin_2Ebool,X0))|p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))|~spl0_14)),
% 42.28/5.76 inference(paramodulation,[status(thm)],[f517,f62])).
% 42.28/5.76 fof(f764,plain,(
% 42.28/5.76 spl0_13|spl0_3|~spl0_14),
% 42.28/5.76 inference(split_clause,[status(thm)],[f763,f513,f425,f516])).
% 42.28/5.76 fof(f5463,plain,(
% 42.28/5.76 spl0_309 <=> ~p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X0),s(tyop_2Erealax_2Ereal,X1))))))))|p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X0),s(tyop_2Erealax_2Ereal,X1))))))))),
% 42.28/5.76 introduced(split_symbol_definition)).
% 42.28/5.76 fof(f5464,plain,(
% 42.28/5.76 ![X0,X1]: (~p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X0),s(tyop_2Erealax_2Ereal,X1))))))))|p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X0),s(tyop_2Erealax_2Ereal,X1))))))))|~spl0_309)),
% 42.28/5.76 inference(component_clause,[status(thm)],[f5463])).
% 42.28/5.76 fof(f5466,plain,(
% 42.28/5.76 ![X0,X1]: (~p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X0),s(tyop_2Erealax_2Ereal,X1))))))))|~p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))|p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X0),s(tyop_2Erealax_2Ereal,X1))))))))|~spl0_17)),
% 42.28/5.76 inference(paramodulation,[status(thm)],[f548,f218])).
% 42.28/5.76 fof(f5467,plain,(
% 42.28/5.76 spl0_309|~spl0_3|~spl0_17),
% 42.28/5.76 inference(split_clause,[status(thm)],[f5466,f5463,f425,f547])).
% 42.28/5.76 fof(f5472,plain,(
% 42.28/5.76 ![X0,X1]: (p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X0),s(tyop_2Erealax_2Ereal,X1))))))))|~spl0_309)),
% 42.28/5.76 inference(forward_subsumption_resolution,[status(thm)],[f5464,f219])).
% 42.28/5.76 fof(f5473,plain,(
% 42.28/5.76 $false|~spl0_309),
% 42.28/5.76 inference(backward_subsumption_resolution,[status(thm)],[f305,f5472])).
% 42.28/5.76 fof(f5474,plain,(
% 42.28/5.76 ~spl0_309),
% 42.28/5.76 inference(contradiction_clause,[status(thm)],[f5473])).
% 42.28/5.78 fof(f5475,plain,(
% 42.28/5.78 $false),
% 42.28/5.78 inference(sat_refutation,[status(thm)],[f445,f520,f536,f551,f764,f5467,f5474])).
% 42.28/5.78 % SZS output end CNFRefutation for theBenchmark.p
% 43.23/5.81 % Elapsed time: 5.439154 seconds
% 43.23/5.81 % CPU time: 43.069281 seconds
% 43.23/5.81 % Total memory used: 414.379 MB
% 43.23/5.81 % Net memory used: 404.905 MB
%------------------------------------------------------------------------------