TSTP Solution File: SWW284+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW284+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 12:44:36 EDT 2023
% Result : Theorem 0.15s 0.42s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWW284+1 : TPTP v8.1.2. Released v5.2.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n013.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:48:20 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.38 % Drodi V3.5.1
% 0.15/0.42 % Refutation found
% 0.15/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.42 fof(f1,axiom,(
% 0.15/0.42 (! [V_g_2,V_f_2] :( (! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x))=> V_f_2 = V_g_2 ) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f2,axiom,(
% 0.15/0.42 v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f3,axiom,(
% 0.15/0.42 (! [V_x,T_a] :( class_Rings_Ocomm__semiring__0(T_a)=> hAPP(c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_x) = c_Groups_Ozero__class_Ozero(T_a) ) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f4,axiom,(
% 0.15/0.42 (! [V_pa_2,T_a] :( ( class_Int_Oring__char__0(T_a)& class_Rings_Oidom(T_a) )=> ( c_Polynomial_Opoly(T_a,V_pa_2) = c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))<=> V_pa_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f1102,axiom,(
% 0.15/0.42 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f1115,axiom,(
% 0.15/0.42 class_Int_Oring__char__0(tc_Complex_Ocomplex) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f1122,axiom,(
% 0.15/0.42 class_Rings_Oidom(tc_Complex_Ocomplex) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f1180,hypothesis,(
% 0.15/0.42 (! [B_x] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),B_x) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f1181,conjecture,(
% 0.15/0.42 v_q = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f1182,negated_conjecture,(
% 0.15/0.42 ~(v_q = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )),
% 0.15/0.42 inference(negated_conjecture,[status(cth)],[f1181])).
% 0.15/0.42 fof(f1183,plain,(
% 0.15/0.42 ![V_g_2,V_f_2]: ((?[B_x]: ~hAPP(V_f_2,B_x)=hAPP(V_g_2,B_x))|V_f_2=V_g_2)),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.15/0.42 fof(f1184,plain,(
% 0.15/0.42 ![V_g_2,V_f_2]: (~hAPP(V_f_2,sk0_0(V_f_2,V_g_2))=hAPP(V_g_2,sk0_0(V_f_2,V_g_2))|V_f_2=V_g_2)),
% 0.15/0.42 inference(skolemization,[status(esa)],[f1183])).
% 0.15/0.42 fof(f1185,plain,(
% 0.15/0.42 ![X0,X1]: (~hAPP(X0,sk0_0(X0,X1))=hAPP(X1,sk0_0(X0,X1))|X0=X1)),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f1184])).
% 0.15/0.42 fof(f1186,plain,(
% 0.15/0.42 v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f2])).
% 0.15/0.42 fof(f1187,plain,(
% 0.15/0.42 ![V_x,T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|hAPP(c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_x)=c_Groups_Ozero__class_Ozero(T_a))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.15/0.42 fof(f1188,plain,(
% 0.15/0.42 ![T_a]: (~class_Rings_Ocomm__semiring__0(T_a)|(![V_x]: hAPP(c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_x)=c_Groups_Ozero__class_Ozero(T_a)))),
% 0.15/0.42 inference(miniscoping,[status(esa)],[f1187])).
% 0.15/0.42 fof(f1189,plain,(
% 0.15/0.42 ![X0,X1]: (~class_Rings_Ocomm__semiring__0(X0)|hAPP(c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X1)=c_Groups_Ozero__class_Ozero(X0))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f1188])).
% 0.15/0.42 fof(f1190,plain,(
% 0.15/0.42 ![V_pa_2,T_a]: ((~class_Int_Oring__char__0(T_a)|~class_Rings_Oidom(T_a))|(c_Polynomial_Opoly(T_a,V_pa_2)=c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))<=>V_pa_2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.15/0.42 fof(f1191,plain,(
% 0.15/0.42 ![V_pa_2,T_a]: ((~class_Int_Oring__char__0(T_a)|~class_Rings_Oidom(T_a))|((~c_Polynomial_Opoly(T_a,V_pa_2)=c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))|V_pa_2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))&(c_Polynomial_Opoly(T_a,V_pa_2)=c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))|~V_pa_2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))))),
% 0.15/0.42 inference(NNF_transformation,[status(esa)],[f1190])).
% 0.15/0.42 fof(f1192,plain,(
% 0.15/0.42 ![T_a]: ((~class_Int_Oring__char__0(T_a)|~class_Rings_Oidom(T_a))|((![V_pa_2]: (~c_Polynomial_Opoly(T_a,V_pa_2)=c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))|V_pa_2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))&(![V_pa_2]: (c_Polynomial_Opoly(T_a,V_pa_2)=c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))|~V_pa_2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))))),
% 0.15/0.42 inference(miniscoping,[status(esa)],[f1191])).
% 0.15/0.42 fof(f1193,plain,(
% 0.15/0.42 ![X0,X1]: (~class_Int_Oring__char__0(X0)|~class_Rings_Oidom(X0)|~c_Polynomial_Opoly(X0,X1)=c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))|X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f1192])).
% 0.15/0.42 fof(f4506,plain,(
% 0.15/0.42 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f1102])).
% 0.15/0.42 fof(f4519,plain,(
% 0.15/0.42 class_Int_Oring__char__0(tc_Complex_Ocomplex)),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f1115])).
% 0.15/0.42 fof(f4526,plain,(
% 0.15/0.42 class_Rings_Oidom(tc_Complex_Ocomplex)),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f1122])).
% 0.15/0.42 fof(f4635,plain,(
% 0.15/0.42 ![X0]: (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f1180])).
% 0.15/0.42 fof(f4636,plain,(
% 0.15/0.42 ~v_q=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f1182])).
% 0.15/0.42 fof(f4823,plain,(
% 0.15/0.42 ![X0]: (~hAPP(X0,sk0_0(X0,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q)))=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|X0=c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q))),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f4635,f1185])).
% 0.15/0.42 fof(f4836,plain,(
% 0.15/0.42 ~v_q=v_p),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f1186,f4636])).
% 0.15/0.42 fof(f4837,plain,(
% 0.15/0.42 spl0_2 <=> class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f4839,plain,(
% 0.15/0.42 ~class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)|spl0_2),
% 0.15/0.42 inference(component_clause,[status(thm)],[f4837])).
% 0.15/0.42 fof(f4840,plain,(
% 0.15/0.42 spl0_3 <=> c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))=c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f4841,plain,(
% 0.15/0.42 c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))=c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q)|~spl0_3),
% 0.15/0.42 inference(component_clause,[status(thm)],[f4840])).
% 0.15/0.42 fof(f4843,plain,(
% 0.15/0.42 ~class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)|c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))=c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q)),
% 0.15/0.42 inference(resolution,[status(thm)],[f1189,f4823])).
% 0.15/0.42 fof(f4844,plain,(
% 0.15/0.42 ~spl0_2|spl0_3),
% 0.15/0.42 inference(split_clause,[status(thm)],[f4843,f4837,f4840])).
% 0.15/0.42 fof(f4852,plain,(
% 0.15/0.42 spl0_5 <=> class_Int_Oring__char__0(tc_Complex_Ocomplex)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f4854,plain,(
% 0.15/0.42 ~class_Int_Oring__char__0(tc_Complex_Ocomplex)|spl0_5),
% 0.15/0.42 inference(component_clause,[status(thm)],[f4852])).
% 0.15/0.42 fof(f4855,plain,(
% 0.15/0.42 spl0_6 <=> class_Rings_Oidom(tc_Complex_Ocomplex)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f4857,plain,(
% 0.15/0.42 ~class_Rings_Oidom(tc_Complex_Ocomplex)|spl0_6),
% 0.15/0.42 inference(component_clause,[status(thm)],[f4855])).
% 0.15/0.42 fof(f4858,plain,(
% 0.15/0.42 spl0_7 <=> ~c_Polynomial_Opoly(tc_Complex_Ocomplex,X0)=c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p)|X0=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f4859,plain,(
% 0.15/0.42 ![X0]: (~c_Polynomial_Opoly(tc_Complex_Ocomplex,X0)=c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p)|X0=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~spl0_7)),
% 0.15/0.42 inference(component_clause,[status(thm)],[f4858])).
% 0.15/0.42 fof(f4861,plain,(
% 0.15/0.42 ![X0]: (~class_Int_Oring__char__0(tc_Complex_Ocomplex)|~class_Rings_Oidom(tc_Complex_Ocomplex)|~c_Polynomial_Opoly(tc_Complex_Ocomplex,X0)=c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p)|X0=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
% 0.41/0.68 inference(paramodulation,[status(thm)],[f1186,f1193])).
% 0.41/0.68 fof(f4862,plain,(
% 0.41/0.68 ~spl0_5|~spl0_6|spl0_7),
% 0.41/0.68 inference(split_clause,[status(thm)],[f4861,f4852,f4855,f4858])).
% 0.41/0.68 fof(f4871,plain,(
% 0.41/0.68 spl0_10 <=> v_q=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 0.41/0.68 introduced(split_symbol_definition)).
% 0.41/0.68 fof(f4872,plain,(
% 0.41/0.68 v_q=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~spl0_10),
% 0.41/0.68 inference(component_clause,[status(thm)],[f4871])).
% 0.41/0.68 fof(f5005,plain,(
% 0.41/0.68 $false|spl0_2),
% 0.41/0.68 inference(forward_subsumption_resolution,[status(thm)],[f4506,f4839])).
% 0.41/0.68 fof(f5006,plain,(
% 0.41/0.68 spl0_2),
% 0.41/0.68 inference(contradiction_clause,[status(thm)],[f5005])).
% 0.41/0.68 fof(f5007,plain,(
% 0.41/0.68 c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p)=c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q)|~spl0_3),
% 0.41/0.68 inference(forward_demodulation,[status(thm)],[f1186,f4841])).
% 0.41/0.68 fof(f5039,plain,(
% 0.41/0.68 $false|spl0_6),
% 0.41/0.68 inference(forward_subsumption_resolution,[status(thm)],[f4526,f4857])).
% 0.41/0.68 fof(f5040,plain,(
% 0.41/0.68 spl0_6),
% 0.41/0.68 inference(contradiction_clause,[status(thm)],[f5039])).
% 0.41/0.68 fof(f5041,plain,(
% 0.41/0.68 $false|spl0_5),
% 0.41/0.68 inference(forward_subsumption_resolution,[status(thm)],[f4854,f4519])).
% 0.41/0.68 fof(f5042,plain,(
% 0.41/0.68 spl0_5),
% 0.41/0.68 inference(contradiction_clause,[status(thm)],[f5041])).
% 0.41/0.68 fof(f5044,plain,(
% 0.41/0.68 v_q=v_p|~spl0_10),
% 0.41/0.68 inference(forward_demodulation,[status(thm)],[f1186,f4872])).
% 0.41/0.68 fof(f5045,plain,(
% 0.41/0.68 $false|~spl0_10),
% 0.41/0.68 inference(forward_subsumption_resolution,[status(thm)],[f5044,f4836])).
% 0.41/0.68 fof(f5046,plain,(
% 0.41/0.68 ~spl0_10),
% 0.41/0.68 inference(contradiction_clause,[status(thm)],[f5045])).
% 0.41/0.68 fof(f5047,plain,(
% 0.41/0.68 ![X0]: (~c_Polynomial_Opoly(tc_Complex_Ocomplex,X0)=c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p)|X0=v_p|~spl0_7)),
% 0.41/0.68 inference(forward_demodulation,[status(thm)],[f1186,f4859])).
% 0.41/0.68 fof(f5384,plain,(
% 0.41/0.68 v_q=v_p|~spl0_7|~spl0_3),
% 0.41/0.68 inference(resolution,[status(thm)],[f5047,f5007])).
% 0.41/0.68 fof(f5385,plain,(
% 0.41/0.68 $false|~spl0_7|~spl0_3),
% 0.41/0.68 inference(forward_subsumption_resolution,[status(thm)],[f5384,f4836])).
% 0.41/0.68 fof(f5386,plain,(
% 0.41/0.68 ~spl0_7|~spl0_3),
% 0.41/0.68 inference(contradiction_clause,[status(thm)],[f5385])).
% 0.41/0.68 fof(f5387,plain,(
% 0.41/0.68 $false),
% 0.41/0.68 inference(sat_refutation,[status(thm)],[f4844,f4862,f5006,f5040,f5042,f5046,f5386])).
% 0.41/0.68 % SZS output end CNFRefutation for theBenchmark.p
% 0.41/0.68 % Elapsed time: 0.157426 seconds
% 0.41/0.68 % CPU time: 0.148521 seconds
% 0.41/0.68 % Memory used: 32.625 MB
%------------------------------------------------------------------------------