TSTP Solution File: SWW246+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW246+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 12:44:33 EDT 2023
% Result : Theorem 2.22s 0.83s
% Output : CNFRefutation 2.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWW246+1 : TPTP v8.1.2. Released v5.2.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n010.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 10:47:22 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.13/0.39 % Drodi V3.5.1
% 2.22/0.83 % Refutation found
% 2.22/0.83 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.22/0.83 % SZS output start CNFRefutation for theBenchmark
% 2.22/0.83 fof(f22,axiom,(
% 2.22/0.83 (! [V_f_2,T_c,T_b] :( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(T_b,T_c,V_f_2)<=> (! [B_x,B_y] : hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) )) )),
% 2.22/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.22/0.83 fof(f67,axiom,(
% 2.22/0.83 ( class_Rings_Oidom(t_a)=> ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))) ) ),
% 2.22/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.22/0.83 fof(f69,axiom,(
% 2.22/0.83 (! [V_a_2,V_pa_2,T_b] :( class_Rings_Oidom(T_b)=> ( hAPP(c_Polynomial_Opoly(T_b,V_pa_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)<=> ( V_pa_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))| c_Polynomial_Oorder(T_b,V_a_2,V_pa_2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) )),
% 2.22/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.22/0.83 fof(f199,axiom,(
% 2.22/0.83 (! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z )),
% 2.22/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.22/0.83 fof(f1200,hypothesis,(
% 2.22/0.83 class_Rings_Oidom(t_a) ),
% 2.22/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.22/0.83 fof(f1270,plain,(
% 2.22/0.83 ![V_f_2,T_c,T_b]: ((~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(T_b,T_c,V_f_2)|(![B_x,B_y]: hAPP(V_f_2,B_x)=hAPP(V_f_2,B_y)))&(c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(T_b,T_c,V_f_2)|(?[B_x,B_y]: ~hAPP(V_f_2,B_x)=hAPP(V_f_2,B_y))))),
% 2.22/0.83 inference(NNF_transformation,[status(esa)],[f22])).
% 2.22/0.83 fof(f1271,plain,(
% 2.22/0.83 (![V_f_2]: ((![T_c,T_b]: ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(T_b,T_c,V_f_2))|(![B_x,B_y]: hAPP(V_f_2,B_x)=hAPP(V_f_2,B_y))))&(![V_f_2]: ((![T_c,T_b]: c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(T_b,T_c,V_f_2))|(?[B_x,B_y]: ~hAPP(V_f_2,B_x)=hAPP(V_f_2,B_y))))),
% 2.22/0.83 inference(miniscoping,[status(esa)],[f1270])).
% 2.22/0.83 fof(f1272,plain,(
% 2.22/0.83 (![V_f_2]: ((![T_c,T_b]: ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(T_b,T_c,V_f_2))|(![B_x,B_y]: hAPP(V_f_2,B_x)=hAPP(V_f_2,B_y))))&(![V_f_2]: ((![T_c,T_b]: c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(T_b,T_c,V_f_2))|~hAPP(V_f_2,sk0_1(V_f_2))=hAPP(V_f_2,sk0_2(V_f_2))))),
% 2.22/0.83 inference(skolemization,[status(esa)],[f1271])).
% 2.22/0.83 fof(f1274,plain,(
% 2.22/0.83 ![X0,X1,X2]: (c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X1,X2)|~hAPP(X2,sk0_1(X2))=hAPP(X2,sk0_2(X2)))),
% 2.22/0.83 inference(cnf_transformation,[status(esa)],[f1272])).
% 2.22/0.83 fof(f1422,plain,(
% 2.22/0.83 ~class_Rings_Oidom(t_a)|~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),
% 2.22/0.83 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 2.22/0.83 fof(f1423,plain,(
% 2.22/0.83 ~class_Rings_Oidom(t_a)|~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),
% 2.22/0.83 inference(cnf_transformation,[status(esa)],[f1422])).
% 2.22/0.83 fof(f1430,plain,(
% 2.22/0.83 ![V_a_2,V_pa_2,T_b]: (~class_Rings_Oidom(T_b)|(hAPP(c_Polynomial_Opoly(T_b,V_pa_2),V_a_2)=c_Groups_Ozero__class_Ozero(T_b)<=>(V_pa_2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))|~c_Polynomial_Oorder(T_b,V_a_2,V_pa_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
% 2.22/0.83 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 2.22/0.83 fof(f1431,plain,(
% 2.22/0.83 ![V_a_2,V_pa_2,T_b]: (~class_Rings_Oidom(T_b)|((~hAPP(c_Polynomial_Opoly(T_b,V_pa_2),V_a_2)=c_Groups_Ozero__class_Ozero(T_b)|(V_pa_2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))|~c_Polynomial_Oorder(T_b,V_a_2,V_pa_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))&(hAPP(c_Polynomial_Opoly(T_b,V_pa_2),V_a_2)=c_Groups_Ozero__class_Ozero(T_b)|(~V_pa_2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))&c_Polynomial_Oorder(T_b,V_a_2,V_pa_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))),
% 2.22/0.83 inference(NNF_transformation,[status(esa)],[f1430])).
% 2.22/0.83 fof(f1432,plain,(
% 2.22/0.83 ![T_b]: (~class_Rings_Oidom(T_b)|((![V_a_2,V_pa_2]: (~hAPP(c_Polynomial_Opoly(T_b,V_pa_2),V_a_2)=c_Groups_Ozero__class_Ozero(T_b)|(V_pa_2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))|~c_Polynomial_Oorder(T_b,V_a_2,V_pa_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))&(![V_a_2,V_pa_2]: (hAPP(c_Polynomial_Opoly(T_b,V_pa_2),V_a_2)=c_Groups_Ozero__class_Ozero(T_b)|(~V_pa_2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))&c_Polynomial_Oorder(T_b,V_a_2,V_pa_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))))),
% 2.22/0.83 inference(miniscoping,[status(esa)],[f1431])).
% 2.22/0.83 fof(f1434,plain,(
% 2.22/0.83 ![X0,X1,X2]: (~class_Rings_Oidom(X0)|hAPP(c_Polynomial_Opoly(X0,X1),X2)=c_Groups_Ozero__class_Ozero(X0)|~X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),
% 2.22/0.83 inference(cnf_transformation,[status(esa)],[f1432])).
% 2.22/0.83 fof(f1824,plain,(
% 2.22/0.83 ![X0]: (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X0)=X0)),
% 2.22/0.83 inference(cnf_transformation,[status(esa)],[f199])).
% 2.22/0.83 fof(f4648,plain,(
% 2.22/0.83 class_Rings_Oidom(t_a)),
% 2.22/0.83 inference(cnf_transformation,[status(esa)],[f1200])).
% 2.22/0.83 fof(f4679,plain,(
% 2.22/0.83 spl0_0 <=> class_Rings_Oidom(t_a)),
% 2.22/0.83 introduced(split_symbol_definition)).
% 2.22/0.83 fof(f4681,plain,(
% 2.22/0.83 ~class_Rings_Oidom(t_a)|spl0_0),
% 2.22/0.83 inference(component_clause,[status(thm)],[f4679])).
% 2.22/0.83 fof(f4686,plain,(
% 2.22/0.83 spl0_2 <=> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),
% 2.22/0.83 introduced(split_symbol_definition)).
% 2.22/0.83 fof(f4688,plain,(
% 2.22/0.83 ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))|spl0_2),
% 2.22/0.83 inference(component_clause,[status(thm)],[f4686])).
% 2.22/0.83 fof(f4689,plain,(
% 2.22/0.83 ~spl0_0|~spl0_2),
% 2.22/0.83 inference(split_clause,[status(thm)],[f1423,f4679,f4686])).
% 2.22/0.83 fof(f4764,plain,(
% 2.22/0.83 ![X0,X1]: (hAPP(c_Polynomial_Opoly(t_a,X0),X1)=c_Groups_Ozero__class_Ozero(t_a)|~X0=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),
% 2.22/0.83 inference(resolution,[status(thm)],[f1434,f4648])).
% 2.22/0.83 fof(f4925,plain,(
% 2.22/0.83 ![X0]: (hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),X0)=c_Groups_Ozero__class_Ozero(t_a))),
% 2.22/0.83 inference(resolution,[status(thm)],[f4764,f1824])).
% 2.22/0.83 fof(f4926,plain,(
% 2.22/0.83 ![X0]: (hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X0)=c_Groups_Ozero__class_Ozero(t_a))),
% 2.22/0.83 inference(forward_demodulation,[status(thm)],[f1824,f4925])).
% 2.22/0.83 fof(f6720,plain,(
% 2.22/0.83 $false|spl0_0),
% 2.22/0.83 inference(forward_subsumption_resolution,[status(thm)],[f4681,f4648])).
% 2.22/0.83 fof(f6721,plain,(
% 2.22/0.83 spl0_0),
% 2.22/0.83 inference(contradiction_clause,[status(thm)],[f6720])).
% 2.22/0.83 fof(f7965,plain,(
% 2.22/0.83 spl0_111 <=> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X1,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),
% 2.22/0.83 introduced(split_symbol_definition)).
% 2.22/0.83 fof(f7966,plain,(
% 2.22/0.83 ![X0,X1]: (c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X1,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))|~spl0_111)),
% 2.22/0.83 inference(component_clause,[status(thm)],[f7965])).
% 2.22/0.83 fof(f7968,plain,(
% 2.22/0.83 spl0_112 <=> hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),sk0_1(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))=c_Groups_Ozero__class_Ozero(t_a)),
% 2.22/0.83 introduced(split_symbol_definition)).
% 2.22/0.83 fof(f7970,plain,(
% 2.22/0.83 ~hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),sk0_1(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))=c_Groups_Ozero__class_Ozero(t_a)|spl0_112),
% 2.22/0.83 inference(component_clause,[status(thm)],[f7968])).
% 2.22/0.83 fof(f7971,plain,(
% 2.22/0.83 ![X0,X1]: (c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X0,X1,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))|~hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),sk0_1(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))=c_Groups_Ozero__class_Ozero(t_a))),
% 2.22/0.83 inference(paramodulation,[status(thm)],[f4926,f1274])).
% 2.22/0.83 fof(f7972,plain,(
% 2.89/0.86 spl0_111|~spl0_112),
% 2.89/0.86 inference(split_clause,[status(thm)],[f7971,f7965,f7968])).
% 2.89/0.86 fof(f8075,plain,(
% 2.89/0.86 $false|spl0_112),
% 2.89/0.86 inference(forward_subsumption_resolution,[status(thm)],[f7970,f4926])).
% 2.89/0.86 fof(f8076,plain,(
% 2.89/0.86 spl0_112),
% 2.89/0.86 inference(contradiction_clause,[status(thm)],[f8075])).
% 2.89/0.86 fof(f8084,plain,(
% 2.89/0.86 $false|~spl0_111|spl0_2),
% 2.89/0.86 inference(backward_subsumption_resolution,[status(thm)],[f4688,f7966])).
% 2.89/0.86 fof(f8085,plain,(
% 2.89/0.86 ~spl0_111|spl0_2),
% 2.89/0.86 inference(contradiction_clause,[status(thm)],[f8084])).
% 2.89/0.86 fof(f8086,plain,(
% 2.89/0.86 $false),
% 2.89/0.86 inference(sat_refutation,[status(thm)],[f4689,f6721,f7972,f8076,f8085])).
% 2.89/0.86 % SZS output end CNFRefutation for theBenchmark.p
% 2.89/0.86 % Elapsed time: 0.550879 seconds
% 2.89/0.86 % CPU time: 3.037221 seconds
% 2.89/0.86 % Memory used: 184.877 MB
%------------------------------------------------------------------------------