TSTP Solution File: ALG427-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG427-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 20:11:34 EDT 2024
% Result : Unsatisfiable 236.94s 30.25s
% Output : CNFRefutation 237.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG427-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35 % Computer : n011.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 23:39:31 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.41 % Drodi V3.6.0
% 236.94/30.25 % Refutation found
% 236.94/30.25 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 236.94/30.25 % SZS output start CNFRefutation for theBenchmark
% 236.94/30.25 fof(f72,axiom,(
% 236.94/30.25 (![V_p]: (( v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1(V_p) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)| c_Polynomial_Opoly(V_p,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(V_p),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ))),
% 236.94/30.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 236.94/30.25 fof(f180,axiom,(
% 236.94/30.25 (![T_a,V_a,V_p,V_c]: (( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)| c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(V_a,V_p,T_a),V_c,T_a) = c_Polynomial_OpCons(c_Polynomial_Opoly(V_p,V_c,T_a),c_Polynomial_Osynthetic__div(V_p,V_c,T_a),T_a) ) ))),
% 236.94/30.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 236.94/30.25 fof(f195,axiom,(
% 236.94/30.25 (![V_nat_H]: (c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ))),
% 236.94/30.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 236.94/30.25 fof(f425,axiom,(
% 236.94/30.25 (![T_a,V_p,V_c]: (( ~ class_Ring__and__Field_Oidom(T_a)| c_Polynomial_Opoly(V_p,V_c,T_a) = c_HOL_Ozero__class_Ozero(T_a)| ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(V_c,T_a),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),V_p,tc_Polynomial_Opoly(T_a)) ) ))),
% 236.94/30.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 236.94/30.25 fof(f426,axiom,(
% 236.94/30.25 (![T_a,V_p,V_c]: (( ~ class_Ring__and__Field_Oidom(T_a)| c_Polynomial_Opoly(V_p,V_c,T_a) != c_HOL_Ozero__class_Ozero(T_a)| c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(V_c,T_a),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),V_p,tc_Polynomial_Opoly(T_a)) ) ))),
% 236.94/30.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 236.94/30.25 fof(f482,axiom,(
% 236.94/30.25 (![T_a,V_p,V_c]: (( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)| c_Polynomial_Osynthetic__div(V_p,V_c,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))| c_Polynomial_Odegree(V_p,T_a) = c_HOL_Ozero__class_Ozero(tc_nat) ) ))),
% 236.94/30.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 236.94/30.25 fof(f483,axiom,(
% 236.94/30.25 (![T_a,V_p,V_c]: (( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)| c_Polynomial_Odegree(V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_nat)| c_Polynomial_Osynthetic__div(V_p,V_c,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ))),
% 236.94/30.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 236.94/30.25 fof(f631,axiom,(
% 236.94/30.25 (![T_a,V_a,V_p]: (( ~ class_HOL_Ozero(T_a)| c_Polynomial_Odegree(c_Polynomial_OpCons(V_a,V_p,T_a),T_a) = c_Suc(c_Polynomial_Odegree(V_p,T_a))| V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ))),
% 236.94/30.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 236.94/30.25 fof(f637,axiom,(
% 236.94/30.25 (![V_p]: (( c_Polynomial_Opoly(V_p,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(V_p),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)| V_p = c_Polynomial_OpCons(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1(V_p),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) ) ))),
% 236.94/30.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 236.94/30.25 fof(f659,axiom,(
% 236.94/30.25 (![T_a]: (( ~ class_HOL_Ozero(T_a)| c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ))),
% 236.94/30.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 236.94/30.25 fof(f662,axiom,(
% 236.94/30.25 (![V_k]: (( v_p != c_Polynomial_OpCons(V_k,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)| v_thesis____| V_k = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ))),
% 236.94/30.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 236.94/30.25 fof(f663,axiom,(
% 236.94/30.25 v_p != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 236.94/30.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 236.94/30.25 fof(f665,axiom,(
% 236.94/30.25 c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 236.94/30.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 236.94/30.25 fof(f666,negated_conjecture,(
% 236.94/30.25 ~ v_thesis____ ),
% 236.94/30.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 236.94/30.25 fof(f765,axiom,(
% 236.94/30.25 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 236.94/30.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 236.94/30.25 fof(f788,axiom,(
% 236.94/30.25 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
% 236.94/30.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 236.94/30.25 fof(f792,axiom,(
% 236.94/30.25 class_HOL_Ozero(tc_Complex_Ocomplex) ),
% 236.94/30.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 236.94/30.25 fof(f963,plain,(
% 236.94/30.25 ![X0]: (~v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1(X0)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Polynomial_Opoly(X0,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(X0),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 236.94/30.25 inference(cnf_transformation,[status(esa)],[f72])).
% 236.94/30.25 fof(f1154,plain,(
% 236.94/30.25 ![T_a]: (~class_Ring__and__Field_Ocomm__semiring__0(T_a)|(![V_a,V_p,V_c]: c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(V_a,V_p,T_a),V_c,T_a)=c_Polynomial_OpCons(c_Polynomial_Opoly(V_p,V_c,T_a),c_Polynomial_Osynthetic__div(V_p,V_c,T_a),T_a)))),
% 236.94/30.25 inference(miniscoping,[status(esa)],[f180])).
% 236.94/30.25 fof(f1155,plain,(
% 236.94/30.25 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Ocomm__semiring__0(X0)|c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X1,X2,X0),X3,X0)=c_Polynomial_OpCons(c_Polynomial_Opoly(X2,X3,X0),c_Polynomial_Osynthetic__div(X2,X3,X0),X0))),
% 236.94/30.25 inference(cnf_transformation,[status(esa)],[f1154])).
% 236.94/30.25 fof(f1181,plain,(
% 236.94/30.25 ![X0]: (~c_HOL_Ozero__class_Ozero(tc_nat)=c_Suc(X0))),
% 236.94/30.25 inference(cnf_transformation,[status(esa)],[f195])).
% 236.94/30.25 fof(f1587,plain,(
% 236.94/30.25 ![X0,X1,X2]: (~class_Ring__and__Field_Oidom(X0)|c_Polynomial_Opoly(X1,X2,X0)=c_HOL_Ozero__class_Ozero(X0)|~c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X2,X0),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X1,tc_Polynomial_Opoly(X0)))),
% 236.94/30.25 inference(cnf_transformation,[status(esa)],[f425])).
% 236.94/30.25 fof(f1588,plain,(
% 236.94/30.25 ![X0,X1,X2]: (~class_Ring__and__Field_Oidom(X0)|~c_Polynomial_Opoly(X1,X2,X0)=c_HOL_Ozero__class_Ozero(X0)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X2,X0),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X1,tc_Polynomial_Opoly(X0)))),
% 236.94/30.25 inference(cnf_transformation,[status(esa)],[f426])).
% 236.94/30.25 fof(f1678,plain,(
% 236.94/30.25 ![T_a,V_p]: ((~class_Ring__and__Field_Ocomm__semiring__0(T_a)|(![V_c]: ~c_Polynomial_Osynthetic__div(V_p,V_c,T_a)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))|c_Polynomial_Odegree(V_p,T_a)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 236.94/30.25 inference(miniscoping,[status(esa)],[f482])).
% 236.94/30.25 fof(f1679,plain,(
% 236.94/30.25 ![X0,X1,X2]: (~class_Ring__and__Field_Ocomm__semiring__0(X0)|~c_Polynomial_Osynthetic__div(X1,X2,X0)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))|c_Polynomial_Odegree(X1,X0)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 236.94/30.25 inference(cnf_transformation,[status(esa)],[f1678])).
% 236.94/30.25 fof(f1680,plain,(
% 236.94/30.25 ![T_a,V_p]: ((~class_Ring__and__Field_Ocomm__semiring__0(T_a)|~c_Polynomial_Odegree(V_p,T_a)=c_HOL_Ozero__class_Ozero(tc_nat))|(![V_c]: c_Polynomial_Osynthetic__div(V_p,V_c,T_a)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),
% 236.94/30.25 inference(miniscoping,[status(esa)],[f483])).
% 236.94/30.25 fof(f1681,plain,(
% 236.94/30.25 ![X0,X1,X2]: (~class_Ring__and__Field_Ocomm__semiring__0(X0)|~c_Polynomial_Odegree(X1,X0)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Polynomial_Osynthetic__div(X1,X2,X0)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),
% 236.94/30.25 inference(cnf_transformation,[status(esa)],[f1680])).
% 236.94/30.25 fof(f1924,plain,(
% 236.94/30.25 ![T_a,V_p]: ((~class_HOL_Ozero(T_a)|(![V_a]: c_Polynomial_Odegree(c_Polynomial_OpCons(V_a,V_p,T_a),T_a)=c_Suc(c_Polynomial_Odegree(V_p,T_a))))|V_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))),
% 236.94/30.25 inference(miniscoping,[status(esa)],[f631])).
% 236.94/30.25 fof(f1925,plain,(
% 236.94/30.25 ![X0,X1,X2]: (~class_HOL_Ozero(X0)|c_Polynomial_Odegree(c_Polynomial_OpCons(X1,X2,X0),X0)=c_Suc(c_Polynomial_Odegree(X2,X0))|X2=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),
% 236.94/30.25 inference(cnf_transformation,[status(esa)],[f1924])).
% 236.94/30.25 fof(f1933,plain,(
% 236.94/30.25 ![X0]: (c_Polynomial_Opoly(X0,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(X0),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|X0=c_Polynomial_OpCons(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex))),
% 236.94/30.25 inference(cnf_transformation,[status(esa)],[f637])).
% 236.94/30.25 fof(f1974,plain,(
% 236.94/30.25 ![X0]: (~class_HOL_Ozero(X0)|c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))),
% 236.94/30.25 inference(cnf_transformation,[status(esa)],[f659])).
% 236.94/30.25 fof(f1979,plain,(
% 236.94/30.25 ![X0]: (~v_p=c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)|v_thesis____|X0=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 236.94/30.25 inference(cnf_transformation,[status(esa)],[f662])).
% 236.94/30.25 fof(f1980,plain,(
% 236.94/30.25 ~v_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 236.94/30.25 inference(cnf_transformation,[status(esa)],[f663])).
% 236.94/30.25 fof(f1982,plain,(
% 236.94/30.25 c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 236.94/30.25 inference(cnf_transformation,[status(esa)],[f665])).
% 236.94/30.25 fof(f1983,plain,(
% 236.94/30.25 ~v_thesis____),
% 236.94/30.25 inference(cnf_transformation,[status(esa)],[f666])).
% 236.94/30.25 fof(f2082,plain,(
% 236.94/30.25 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)),
% 236.94/30.25 inference(cnf_transformation,[status(esa)],[f765])).
% 236.94/30.25 fof(f2105,plain,(
% 236.94/30.25 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)),
% 236.94/30.25 inference(cnf_transformation,[status(esa)],[f788])).
% 236.94/30.25 fof(f2109,plain,(
% 236.94/30.25 class_HOL_Ozero(tc_Complex_Ocomplex)),
% 236.94/30.25 inference(cnf_transformation,[status(esa)],[f792])).
% 236.94/30.25 fof(f2162,plain,(
% 236.94/30.25 spl0_2 <=> v_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 236.94/30.25 introduced(split_symbol_definition)).
% 236.94/30.25 fof(f2163,plain,(
% 236.94/30.25 v_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~spl0_2),
% 236.94/30.25 inference(component_clause,[status(thm)],[f2162])).
% 236.94/30.25 fof(f2166,plain,(
% 236.94/30.25 spl0_3 <=> ~v_p=c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)|X0=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 236.94/30.25 introduced(split_symbol_definition)).
% 236.94/30.25 fof(f2167,plain,(
% 236.94/30.25 ![X0]: (~v_p=c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)|X0=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_3)),
% 236.94/30.25 inference(component_clause,[status(thm)],[f2166])).
% 236.94/30.25 fof(f2169,plain,(
% 236.94/30.25 spl0_4 <=> v_thesis____),
% 236.94/30.25 introduced(split_symbol_definition)).
% 236.94/30.25 fof(f2170,plain,(
% 236.94/30.25 v_thesis____|~spl0_4),
% 236.94/30.25 inference(component_clause,[status(thm)],[f2169])).
% 236.94/30.25 fof(f2172,plain,(
% 236.94/30.25 spl0_3|spl0_4),
% 236.94/30.25 inference(split_clause,[status(thm)],[f1979,f2166,f2169])).
% 236.94/30.25 fof(f4866,plain,(
% 236.94/30.25 spl0_36 <=> class_HOL_Ozero(tc_Complex_Ocomplex)),
% 236.94/30.25 introduced(split_symbol_definition)).
% 236.94/30.25 fof(f4868,plain,(
% 236.94/30.25 ~class_HOL_Ozero(tc_Complex_Ocomplex)|spl0_36),
% 236.94/30.25 inference(component_clause,[status(thm)],[f4866])).
% 236.94/30.25 fof(f4874,plain,(
% 236.94/30.25 $false|~spl0_2),
% 236.94/30.25 inference(forward_subsumption_resolution,[status(thm)],[f2163,f1980])).
% 236.94/30.25 fof(f4875,plain,(
% 236.94/30.25 ~spl0_2),
% 236.94/30.25 inference(contradiction_clause,[status(thm)],[f4874])).
% 236.94/30.25 fof(f4876,plain,(
% 236.94/30.25 $false|spl0_36),
% 236.94/30.25 inference(forward_subsumption_resolution,[status(thm)],[f4868,f2109])).
% 236.94/30.25 fof(f4877,plain,(
% 236.94/30.25 spl0_36),
% 236.94/30.25 inference(contradiction_clause,[status(thm)],[f4876])).
% 236.94/30.25 fof(f14164,plain,(
% 236.94/30.25 spl0_53 <=> class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)),
% 236.94/30.25 introduced(split_symbol_definition)).
% 236.94/30.25 fof(f14166,plain,(
% 236.94/30.25 ~class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)|spl0_53),
% 236.94/30.25 inference(component_clause,[status(thm)],[f14164])).
% 236.94/30.25 fof(f14198,plain,(
% 236.94/30.25 $false|spl0_53),
% 236.94/30.25 inference(forward_subsumption_resolution,[status(thm)],[f14166,f2082])).
% 236.94/30.25 fof(f14199,plain,(
% 236.94/30.25 spl0_53),
% 236.94/30.25 inference(contradiction_clause,[status(thm)],[f14198])).
% 236.94/30.25 fof(f19613,plain,(
% 236.94/30.25 spl0_75 <=> class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)),
% 236.94/30.25 introduced(split_symbol_definition)).
% 236.94/30.25 fof(f19615,plain,(
% 236.94/30.25 ~class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)|spl0_75),
% 236.94/30.25 inference(component_clause,[status(thm)],[f19613])).
% 236.94/30.25 fof(f19616,plain,(
% 236.94/30.25 spl0_76 <=> c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(X0),tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1(X0)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 236.94/30.25 introduced(split_symbol_definition)).
% 236.94/30.25 fof(f19617,plain,(
% 236.94/30.25 ![X0]: (c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(X0),tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1(X0)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_76)),
% 236.94/30.25 inference(component_clause,[status(thm)],[f19616])).
% 236.94/30.25 fof(f19619,plain,(
% 236.94/30.25 ![X0]: (~class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(X0),tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1(X0)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 236.94/30.25 inference(resolution,[status(thm)],[f1588,f963])).
% 236.94/30.25 fof(f19620,plain,(
% 236.94/30.25 ~spl0_75|spl0_76),
% 236.94/30.25 inference(split_clause,[status(thm)],[f19619,f19613,f19616])).
% 236.94/30.25 fof(f19621,plain,(
% 236.94/30.25 $false|spl0_75),
% 236.94/30.25 inference(forward_subsumption_resolution,[status(thm)],[f19615,f2105])).
% 236.94/30.25 fof(f19622,plain,(
% 236.94/30.25 spl0_75),
% 236.94/30.25 inference(contradiction_clause,[status(thm)],[f19621])).
% 236.94/30.25 fof(f34579,plain,(
% 236.94/30.25 spl0_1542 <=> c_Polynomial_Opoly(v_p,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(v_p),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 236.94/30.25 introduced(split_symbol_definition)).
% 236.94/30.25 fof(f34580,plain,(
% 236.94/30.25 c_Polynomial_Opoly(v_p,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(v_p),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_1542),
% 236.94/30.26 inference(component_clause,[status(thm)],[f34579])).
% 236.94/30.26 fof(f34582,plain,(
% 236.94/30.26 spl0_1543 <=> v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1(v_p)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 236.94/30.26 introduced(split_symbol_definition)).
% 236.94/30.26 fof(f34583,plain,(
% 236.94/30.26 v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1(v_p)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_1543),
% 236.94/30.26 inference(component_clause,[status(thm)],[f34582])).
% 236.94/30.26 fof(f34585,plain,(
% 236.94/30.26 c_Polynomial_Opoly(v_p,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(v_p),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1(v_p)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_3),
% 236.94/30.26 inference(resolution,[status(thm)],[f1933,f2167])).
% 236.94/30.26 fof(f34586,plain,(
% 236.94/30.26 spl0_1542|spl0_1543|~spl0_3),
% 236.94/30.26 inference(split_clause,[status(thm)],[f34585,f34579,f34582,f2166])).
% 236.94/30.26 fof(f34699,plain,(
% 236.94/30.26 $false|~spl0_4),
% 236.94/30.26 inference(forward_subsumption_resolution,[status(thm)],[f2170,f1983])).
% 236.94/30.26 fof(f34700,plain,(
% 236.94/30.26 ~spl0_4),
% 236.94/30.26 inference(contradiction_clause,[status(thm)],[f34699])).
% 236.94/30.26 fof(f40842,plain,(
% 236.94/30.26 c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(v_p),tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_p,tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~spl0_1543|~spl0_76),
% 236.94/30.26 inference(resolution,[status(thm)],[f34583,f19617])).
% 236.94/30.26 fof(f40865,plain,(
% 236.94/30.26 ~class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)|c_Polynomial_Opoly(v_p,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(v_p),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_1543|~spl0_76),
% 236.94/30.26 inference(resolution,[status(thm)],[f40842,f1587])).
% 236.94/30.26 fof(f40866,plain,(
% 236.94/30.26 ~spl0_75|spl0_1542|~spl0_1543|~spl0_76),
% 236.94/30.26 inference(split_clause,[status(thm)],[f40865,f19613,f34579,f34582,f19616])).
% 236.94/30.26 fof(f61930,plain,(
% 236.94/30.26 spl0_3940 <=> c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X0,v_p,tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(v_p),tc_Complex_Ocomplex)=c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Osynthetic__div(v_p,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(v_p),tc_Complex_Ocomplex),tc_Complex_Ocomplex)),
% 236.94/30.26 introduced(split_symbol_definition)).
% 236.94/30.26 fof(f61931,plain,(
% 236.94/30.26 ![X0]: (c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X0,v_p,tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(v_p),tc_Complex_Ocomplex)=c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Osynthetic__div(v_p,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(v_p),tc_Complex_Ocomplex),tc_Complex_Ocomplex)|~spl0_3940)),
% 236.94/30.26 inference(component_clause,[status(thm)],[f61930])).
% 236.94/30.26 fof(f61933,plain,(
% 236.94/30.26 ![X0]: (~class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)|c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X0,v_p,tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(v_p),tc_Complex_Ocomplex)=c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Osynthetic__div(v_p,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(v_p),tc_Complex_Ocomplex),tc_Complex_Ocomplex)|~spl0_1542)),
% 236.94/30.26 inference(paramodulation,[status(thm)],[f34580,f1155])).
% 236.94/30.26 fof(f61934,plain,(
% 236.94/30.26 ~spl0_53|spl0_3940|~spl0_1542),
% 236.94/30.26 inference(split_clause,[status(thm)],[f61933,f14164,f61930,f34579])).
% 236.94/30.26 fof(f62371,plain,(
% 236.94/30.26 spl0_4003 <=> c_Polynomial_Odegree(c_Polynomial_OpCons(X0,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 236.94/30.26 introduced(split_symbol_definition)).
% 236.94/30.26 fof(f62372,plain,(
% 236.94/30.26 ![X0]: (c_Polynomial_Odegree(c_Polynomial_OpCons(X0,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_4003)),
% 236.94/30.26 inference(component_clause,[status(thm)],[f62371])).
% 236.94/30.26 fof(f62450,plain,(
% 236.94/30.26 spl0_4017 <=> c_Polynomial_Osynthetic__div(v_p,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(v_p),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 236.94/30.26 introduced(split_symbol_definition)).
% 236.94/30.26 fof(f62451,plain,(
% 236.94/30.26 c_Polynomial_Osynthetic__div(v_p,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(v_p),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~spl0_4017),
% 236.94/30.26 inference(component_clause,[status(thm)],[f62450])).
% 236.94/30.26 fof(f62452,plain,(
% 236.94/30.26 ~c_Polynomial_Osynthetic__div(v_p,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(v_p),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|spl0_4017),
% 236.94/30.26 inference(component_clause,[status(thm)],[f62450])).
% 236.94/30.26 fof(f62823,plain,(
% 236.94/30.26 ![X0]: (c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X0,v_p,tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(v_p),tc_Complex_Ocomplex)=c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)|~spl0_4017|~spl0_3940)),
% 236.94/30.26 inference(backward_demodulation,[status(thm)],[f62451,f61931])).
% 236.94/30.26 fof(f62824,plain,(
% 236.94/30.26 spl0_4047 <=> c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 236.94/30.26 introduced(split_symbol_definition)).
% 236.94/30.26 fof(f62826,plain,(
% 236.94/30.26 ~c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)|spl0_4047),
% 236.94/30.26 inference(component_clause,[status(thm)],[f62824])).
% 236.94/30.26 fof(f62849,plain,(
% 236.94/30.26 spl0_4051 <=> c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 236.94/30.26 introduced(split_symbol_definition)).
% 236.94/30.26 fof(f62851,plain,(
% 236.94/30.26 ~c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|spl0_4051),
% 236.94/30.26 inference(component_clause,[status(thm)],[f62849])).
% 236.94/30.26 fof(f62852,plain,(
% 236.94/30.26 ![X0]: (~class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)|~c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Polynomial_Odegree(c_Polynomial_OpCons(X0,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_4017|~spl0_3940)),
% 236.94/30.26 inference(paramodulation,[status(thm)],[f62823,f1679])).
% 236.94/30.26 fof(f62853,plain,(
% 236.94/30.26 ~spl0_53|~spl0_4051|spl0_4003|~spl0_4017|~spl0_3940),
% 236.94/30.26 inference(split_clause,[status(thm)],[f62852,f14164,f62849,f62371,f62450,f61930])).
% 236.94/30.26 fof(f65052,plain,(
% 236.94/30.26 spl0_4104 <=> c_HOL_Ozero__class_Ozero(tc_nat)=c_Suc(c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex))),
% 236.94/30.26 introduced(split_symbol_definition)).
% 236.94/30.26 fof(f65053,plain,(
% 236.94/30.26 c_HOL_Ozero__class_Ozero(tc_nat)=c_Suc(c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex))|~spl0_4104),
% 236.94/30.26 inference(component_clause,[status(thm)],[f65052])).
% 236.94/30.26 fof(f65055,plain,(
% 236.94/30.26 ~class_HOL_Ozero(tc_Complex_Ocomplex)|c_HOL_Ozero__class_Ozero(tc_nat)=c_Suc(c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex))|v_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~spl0_4003),
% 236.94/30.26 inference(paramodulation,[status(thm)],[f62372,f1925])).
% 236.94/30.26 fof(f65056,plain,(
% 236.94/30.26 ~spl0_36|spl0_4104|spl0_2|~spl0_4003),
% 236.94/30.26 inference(split_clause,[status(thm)],[f65055,f4866,f65052,f2162,f62371])).
% 236.94/30.26 fof(f65100,plain,(
% 236.94/30.26 c_HOL_Ozero__class_Ozero(tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|~spl0_4104),
% 236.94/30.26 inference(forward_demodulation,[status(thm)],[f1982,f65053])).
% 236.94/30.26 fof(f65101,plain,(
% 236.94/30.26 $false|~spl0_4104),
% 236.94/30.26 inference(forward_subsumption_resolution,[status(thm)],[f65100,f1181])).
% 236.94/30.26 fof(f65102,plain,(
% 236.94/30.26 ~spl0_4104),
% 236.94/30.26 inference(contradiction_clause,[status(thm)],[f65101])).
% 236.94/30.26 fof(f65524,plain,(
% 236.94/30.26 ~class_HOL_Ozero(tc_Complex_Ocomplex)|spl0_4051),
% 236.94/30.26 inference(resolution,[status(thm)],[f62851,f1974])).
% 236.94/30.26 fof(f65525,plain,(
% 236.94/30.26 ~spl0_36|spl0_4051),
% 236.94/30.26 inference(split_clause,[status(thm)],[f65524,f4866,f62849])).
% 236.94/30.26 fof(f65526,plain,(
% 236.94/30.26 ~class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)|~c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)|spl0_4017),
% 236.94/30.26 inference(resolution,[status(thm)],[f62452,f1681])).
% 236.94/30.26 fof(f65527,plain,(
% 236.94/30.26 ~spl0_53|~spl0_4047|spl0_4017),
% 237.66/30.29 inference(split_clause,[status(thm)],[f65526,f14164,f62824,f62450])).
% 237.66/30.29 fof(f65528,plain,(
% 237.66/30.29 ~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|spl0_4047),
% 237.66/30.29 inference(forward_demodulation,[status(thm)],[f1982,f62826])).
% 237.66/30.29 fof(f65529,plain,(
% 237.66/30.29 $false|spl0_4047),
% 237.66/30.29 inference(trivial_equality_resolution,[status(esa)],[f65528])).
% 237.66/30.29 fof(f65530,plain,(
% 237.66/30.29 spl0_4047),
% 237.66/30.29 inference(contradiction_clause,[status(thm)],[f65529])).
% 237.66/30.29 fof(f65531,plain,(
% 237.66/30.29 $false),
% 237.66/30.29 inference(sat_refutation,[status(thm)],[f2172,f4875,f4877,f14199,f19620,f19622,f34586,f34700,f40866,f61934,f62853,f65056,f65102,f65525,f65527,f65530])).
% 237.66/30.29 % SZS output end CNFRefutation for theBenchmark.p
% 242.76/31.62 % Elapsed time: 31.039549 seconds
% 242.76/31.62 % CPU time: 209.833719 seconds
% 242.76/31.62 % Total memory used: 985.115 MB
% 242.76/31.62 % Net memory used: 970.093 MB
%------------------------------------------------------------------------------