TSTP Solution File: SWW287+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW287+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 20:49:58 EDT 2024
% Result : Theorem 0.20s 0.46s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWW287+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n007.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 23:04:02 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.44 % Drodi V3.6.0
% 0.20/0.46 % Refutation found
% 0.20/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.46 fof(f2,axiom,(
% 0.20/0.46 v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f4,axiom,(
% 0.20/0.46 c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Nat_OSuc(v_n____) ),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f6,axiom,(
% 0.20/0.46 (! [V_x_3] :( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____))))=> ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),V_x_3) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),V_x_3) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ) )),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f7,axiom,(
% 0.20/0.46 ( (! [B_x] :( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_x) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),B_x) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ))=> ( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) ) ) ),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f8,axiom,(
% 0.20/0.46 ( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=> ( (! [B_x] :( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_x) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),B_x) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ))<=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))| ( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))& v_q = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ) ) ) ),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f19,axiom,(
% 0.20/0.46 (! [V_n] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f20,axiom,(
% 0.20/0.46 (! [V_m_2,V_x_2] :( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_m_2) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))<=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| V_x_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) )),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f67,axiom,(
% 0.20/0.46 (! [V_n] : c_Nat_OSuc(V_n) != V_n )),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f1206,conjecture,(
% 0.20/0.46 ( (! [B_x] :( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_x) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),B_x) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ))<=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))| ( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))& v_q = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ) ) ),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f1207,negated_conjecture,(
% 0.20/0.46 ~(( (! [B_x] :( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_x) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),B_x) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ))<=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))| ( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))& v_q = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ) ) )),
% 0.20/0.46 inference(negated_conjecture,[status(cth)],[f1206])).
% 0.20/0.46 fof(f1211,plain,(
% 0.20/0.46 ~v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.46 fof(f1213,plain,(
% 0.20/0.46 c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)=c_Nat_OSuc(v_n____)),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.46 fof(f1223,plain,(
% 0.20/0.46 ![V_x_3]: (~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____))))|(~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),V_x_3)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),V_x_3)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),
% 0.20/0.46 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.20/0.46 fof(f1224,plain,(
% 0.20/0.46 ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____))))|(![V_x_3]: (~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),V_x_3)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),V_x_3)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),
% 0.20/0.46 inference(miniscoping,[status(esa)],[f1223])).
% 0.20/0.46 fof(f1225,plain,(
% 0.20/0.46 ![X0]: (~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____))))|~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f1224])).
% 0.20/0.46 fof(f1226,plain,(
% 0.20/0.46 (?[B_x]: (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_x)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)&~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),B_x)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))|(c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))))),
% 0.20/0.46 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.20/0.46 fof(f1227,plain,(
% 0.20/0.46 (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_2)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)&~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sk0_2)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))|(c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))))),
% 0.20/0.46 inference(skolemization,[status(esa)],[f1226])).
% 0.20/0.46 fof(f1228,plain,(
% 0.20/0.46 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_2)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f1227])).
% 0.20/0.46 fof(f1229,plain,(
% 0.20/0.46 ~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sk0_2)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f1227])).
% 0.20/0.46 fof(f1230,plain,(
% 0.20/0.46 ~c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|((![B_x]: (~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_x)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),B_x)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))<=>(hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))|(v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))&v_q=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))),
% 0.20/0.46 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.20/0.46 fof(f1231,plain,(
% 0.20/0.46 ~c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|(((?[B_x]: (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_x)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)&~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),B_x)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))|(hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))|(v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))&v_q=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))&((![B_x]: (~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_x)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),B_x)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))|(~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))&(~v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~v_q=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))))),
% 0.20/0.46 inference(NNF_transformation,[status(esa)],[f1230])).
% 0.20/0.46 fof(f1232,plain,(
% 0.20/0.46 ~c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|(((hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_3)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)&~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sk0_3)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))|(hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))|(v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))&v_q=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))&((![B_x]: (~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_x)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),B_x)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))|(~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))&(~v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~v_q=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))))),
% 0.20/0.46 inference(skolemization,[status(esa)],[f1231])).
% 0.20/0.46 fof(f1233,plain,(
% 0.20/0.46 ~c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_3)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))|v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f1232])).
% 0.20/0.46 fof(f1235,plain,(
% 0.20/0.46 ~c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sk0_3)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))|v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f1232])).
% 0.20/0.46 fof(f1279,plain,(
% 0.20/0.46 ![X0]: (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f19])).
% 0.20/0.46 fof(f1280,plain,(
% 0.20/0.46 ![V_m_2,V_x_2]: ((~hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_m_2)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|(V_m_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_x_2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))&(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_m_2)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|(~V_m_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)&~V_x_2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))),
% 0.20/0.46 inference(NNF_transformation,[status(esa)],[f20])).
% 0.20/0.46 fof(f1281,plain,(
% 0.20/0.46 (![V_m_2,V_x_2]: (~hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_m_2)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|(V_m_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_x_2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))&(![V_m_2,V_x_2]: (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_m_2)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|(~V_m_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)&~V_x_2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))),
% 0.20/0.46 inference(miniscoping,[status(esa)],[f1280])).
% 0.20/0.46 fof(f1282,plain,(
% 0.20/0.46 ![X0,X1]: (~hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X0=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f1281])).
% 0.20/0.46 fof(f1283,plain,(
% 0.20/0.46 ![X0,X1]: (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|~X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f1281])).
% 0.20/0.46 fof(f1415,plain,(
% 0.20/0.46 ![X0]: (~c_Nat_OSuc(X0)=X0)),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f67])).
% 0.20/0.46 fof(f4801,plain,(
% 0.20/0.46 ((![B_x]: (~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_x)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),B_x)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))<~>(hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))|(v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))&v_q=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))),
% 0.20/0.46 inference(pre_NNF_transformation,[status(esa)],[f1207])).
% 0.20/0.46 fof(f4802,plain,(
% 0.20/0.46 ((![B_x]: (~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_x)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),B_x)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))|(hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))|(v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))&v_q=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))&((?[B_x]: (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_x)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)&~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),B_x)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))|(~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))&(~v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~v_q=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))),
% 0.20/0.46 inference(NNF_transformation,[status(esa)],[f4801])).
% 0.20/0.46 fof(f4803,plain,(
% 0.20/0.46 ((![B_x]: (~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_x)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),B_x)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))|(hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))|(v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))&v_q=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))&((hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_19)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)&~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sk0_19)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))|(~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))&(~v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~v_q=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))),
% 0.20/0.46 inference(skolemization,[status(esa)],[f4802])).
% 0.20/0.46 fof(f4804,plain,(
% 0.20/0.46 ![X0]: (~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))|v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f4803])).
% 0.20/0.46 fof(f4806,plain,(
% 0.20/0.46 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_19)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f4803])).
% 0.20/0.46 fof(f4808,plain,(
% 0.20/0.46 ~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sk0_19)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f4803])).
% 0.20/0.46 fof(f4848,plain,(
% 0.20/0.46 spl0_0 <=> v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f4849,plain,(
% 0.20/0.46 v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~spl0_0),
% 0.20/0.46 inference(component_clause,[status(thm)],[f4848])).
% 0.20/0.46 fof(f4854,plain,(
% 0.20/0.46 spl0_2 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f4855,plain,(
% 0.20/0.46 hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))|~spl0_2),
% 0.20/0.46 inference(component_clause,[status(thm)],[f4854])).
% 0.20/0.46 fof(f4867,plain,(
% 0.20/0.46 spl0_5 <=> ~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f4868,plain,(
% 0.20/0.46 ![X0]: (~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_5)),
% 0.20/0.46 inference(component_clause,[status(thm)],[f4867])).
% 0.20/0.46 fof(f4872,plain,(
% 0.20/0.46 spl0_6 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____))))),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f4874,plain,(
% 0.20/0.46 ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____))))|spl0_6),
% 0.20/0.46 inference(component_clause,[status(thm)],[f4872])).
% 0.20/0.46 fof(f4875,plain,(
% 0.20/0.46 ~spl0_6|spl0_5),
% 0.20/0.46 inference(split_clause,[status(thm)],[f1225,f4872,f4867])).
% 0.20/0.46 fof(f4876,plain,(
% 0.20/0.46 spl0_7 <=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_2)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f4877,plain,(
% 0.20/0.46 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_2)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_7),
% 0.20/0.46 inference(component_clause,[status(thm)],[f4876])).
% 0.20/0.46 fof(f4879,plain,(
% 0.20/0.46 spl0_8 <=> c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f4882,plain,(
% 0.20/0.46 spl0_7|spl0_8|spl0_2),
% 0.20/0.46 inference(split_clause,[status(thm)],[f1228,f4876,f4879,f4854])).
% 0.20/0.46 fof(f4883,plain,(
% 0.20/0.46 spl0_9 <=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sk0_2)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f4885,plain,(
% 0.20/0.46 ~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sk0_2)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|spl0_9),
% 0.20/0.46 inference(component_clause,[status(thm)],[f4883])).
% 0.20/0.46 fof(f4886,plain,(
% 0.20/0.46 ~spl0_9|spl0_8|spl0_2),
% 0.20/0.46 inference(split_clause,[status(thm)],[f1229,f4883,f4879,f4854])).
% 0.20/0.46 fof(f4887,plain,(
% 0.20/0.46 spl0_10 <=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_3)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f4888,plain,(
% 0.20/0.46 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_3)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_10),
% 0.20/0.46 inference(component_clause,[status(thm)],[f4887])).
% 0.20/0.46 fof(f4890,plain,(
% 0.20/0.46 ~spl0_8|spl0_10|spl0_2|spl0_0),
% 0.20/0.46 inference(split_clause,[status(thm)],[f1233,f4879,f4887,f4854,f4848])).
% 0.20/0.46 fof(f4892,plain,(
% 0.20/0.46 spl0_11 <=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sk0_3)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f4894,plain,(
% 0.20/0.46 ~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sk0_3)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|spl0_11),
% 0.20/0.46 inference(component_clause,[status(thm)],[f4892])).
% 0.20/0.46 fof(f4895,plain,(
% 0.20/0.46 ~spl0_8|~spl0_11|spl0_2|spl0_0),
% 0.20/0.46 inference(split_clause,[status(thm)],[f1235,f4879,f4892,f4854,f4848])).
% 0.20/0.46 fof(f4899,plain,(
% 0.20/0.46 spl0_5|spl0_2|spl0_0),
% 0.20/0.46 inference(split_clause,[status(thm)],[f4804,f4867,f4854,f4848])).
% 0.20/0.46 fof(f4901,plain,(
% 0.20/0.46 spl0_12 <=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_19)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f4902,plain,(
% 0.20/0.46 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_19)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_12),
% 0.20/0.46 inference(component_clause,[status(thm)],[f4901])).
% 0.20/0.46 fof(f4904,plain,(
% 0.20/0.46 spl0_12|~spl0_2),
% 0.20/0.46 inference(split_clause,[status(thm)],[f4806,f4901,f4854])).
% 0.20/0.46 fof(f4906,plain,(
% 0.20/0.46 spl0_13 <=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sk0_19)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f4907,plain,(
% 0.20/0.46 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sk0_19)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_13),
% 0.20/0.46 inference(component_clause,[status(thm)],[f4906])).
% 0.20/0.46 fof(f4908,plain,(
% 0.20/0.46 ~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sk0_19)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|spl0_13),
% 0.20/0.46 inference(component_clause,[status(thm)],[f4906])).
% 0.20/0.46 fof(f4909,plain,(
% 0.20/0.46 ~spl0_13|~spl0_2),
% 0.20/0.46 inference(split_clause,[status(thm)],[f4808,f4906,f4854])).
% 0.20/0.46 fof(f4916,plain,(
% 0.20/0.46 ![X0]: (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
% 0.20/0.46 inference(destructive_equality_resolution,[status(esa)],[f1283])).
% 0.20/0.46 fof(f5076,plain,(
% 0.20/0.46 spl0_14 <=> X0=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f5077,plain,(
% 0.20/0.46 ![X0]: (X0=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~spl0_14)),
% 0.20/0.46 inference(component_clause,[status(thm)],[f5076])).
% 0.20/0.46 fof(f5079,plain,(
% 0.20/0.46 spl0_15 <=> c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f5082,plain,(
% 0.20/0.46 ![X0]: (X0=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
% 0.20/0.46 inference(resolution,[status(thm)],[f1282,f1279])).
% 0.20/0.46 fof(f5083,plain,(
% 0.20/0.46 spl0_14|spl0_15),
% 0.20/0.46 inference(split_clause,[status(thm)],[f5082,f5076,f5079])).
% 0.20/0.46 fof(f5084,plain,(
% 0.20/0.46 spl0_16 <=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f5087,plain,(
% 0.20/0.46 spl0_17 <=> X0=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f5090,plain,(
% 0.20/0.46 ![X0]: (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X0=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
% 0.20/0.46 inference(resolution,[status(thm)],[f1282,f4916])).
% 0.20/0.46 fof(f5091,plain,(
% 0.20/0.46 spl0_16|spl0_17),
% 0.20/0.46 inference(split_clause,[status(thm)],[f5090,f5084,f5087])).
% 0.20/0.46 fof(f5107,plain,(
% 0.20/0.46 $false|~spl0_14),
% 0.20/0.46 inference(resolution,[status(thm)],[f5077,f1415])).
% 0.20/0.46 fof(f5108,plain,(
% 0.20/0.46 ~spl0_14),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f5107])).
% 0.20/0.46 fof(f5109,plain,(
% 0.20/0.46 ~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_19)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_5|spl0_13),
% 0.20/0.46 inference(resolution,[status(thm)],[f4868,f4908])).
% 0.20/0.46 fof(f5110,plain,(
% 0.20/0.46 ~c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_12|~spl0_5|spl0_13),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f4902,f5109])).
% 0.20/0.46 fof(f5111,plain,(
% 0.20/0.46 $false|~spl0_12|~spl0_5|spl0_13),
% 0.20/0.46 inference(trivial_equality_resolution,[status(esa)],[f5110])).
% 0.20/0.46 fof(f5112,plain,(
% 0.20/0.46 ~spl0_12|~spl0_5|spl0_13),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f5111])).
% 0.20/0.46 fof(f5114,plain,(
% 0.20/0.46 hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____))))|~spl0_2),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f1213,f4855])).
% 0.20/0.46 fof(f5115,plain,(
% 0.20/0.46 $false|spl0_6|~spl0_2),
% 0.20/0.46 inference(forward_subsumption_resolution,[status(thm)],[f5114,f4874])).
% 0.20/0.46 fof(f5116,plain,(
% 0.20/0.46 spl0_6|~spl0_2),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f5115])).
% 0.20/0.46 fof(f5118,plain,(
% 0.20/0.46 $false|~spl0_0),
% 0.20/0.46 inference(forward_subsumption_resolution,[status(thm)],[f4849,f1211])).
% 0.20/0.46 fof(f5119,plain,(
% 0.20/0.46 ~spl0_0),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f5118])).
% 0.20/0.46 fof(f5121,plain,(
% 0.20/0.46 spl0_20 <=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f5124,plain,(
% 0.20/0.46 ~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_19)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_5|~spl0_13),
% 0.20/0.47 inference(paramodulation,[status(thm)],[f4907,f4868])).
% 0.20/0.47 fof(f5125,plain,(
% 0.20/0.47 ~spl0_12|spl0_20|~spl0_5|~spl0_13),
% 0.20/0.47 inference(split_clause,[status(thm)],[f5124,f4901,f5121,f4867,f4906])).
% 0.20/0.47 fof(f5128,plain,(
% 0.20/0.47 ~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_3)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|spl0_11|~spl0_5),
% 0.20/0.47 inference(resolution,[status(thm)],[f4894,f4868])).
% 0.20/0.47 fof(f5129,plain,(
% 0.20/0.47 $false|spl0_11|~spl0_5|~spl0_10),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f4888,f5128])).
% 0.20/0.47 fof(f5130,plain,(
% 0.20/0.47 spl0_11|~spl0_5|~spl0_10),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f5129])).
% 0.20/0.47 fof(f5131,plain,(
% 0.20/0.47 ~hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_2)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|spl0_9|~spl0_5),
% 0.20/0.47 inference(resolution,[status(thm)],[f4885,f4868])).
% 0.20/0.47 fof(f5134,plain,(
% 0.20/0.47 ~c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_7|spl0_9|~spl0_5),
% 0.20/0.47 inference(forward_demodulation,[status(thm)],[f4877,f5131])).
% 0.20/0.47 fof(f5135,plain,(
% 0.20/0.47 $false|~spl0_7|spl0_9|~spl0_5),
% 0.20/0.47 inference(trivial_equality_resolution,[status(esa)],[f5134])).
% 0.20/0.47 fof(f5136,plain,(
% 0.20/0.47 ~spl0_7|spl0_9|~spl0_5),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f5135])).
% 0.20/0.47 fof(f5137,plain,(
% 0.20/0.47 $false),
% 0.20/0.47 inference(sat_refutation,[status(thm)],[f4875,f4882,f4886,f4890,f4895,f4899,f4904,f4909,f5083,f5091,f5108,f5112,f5116,f5119,f5125,f5130,f5136])).
% 0.20/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.49 % Elapsed time: 0.139383 seconds
% 0.20/0.49 % CPU time: 0.247939 seconds
% 0.20/0.49 % Total memory used: 76.412 MB
% 0.20/0.49 % Net memory used: 75.868 MB
%------------------------------------------------------------------------------