TSTP Solution File: SWW218+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW218+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 12:44:30 EDT 2023
% Result : Theorem 0.20s 0.47s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW218+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 11:11:19 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.44 % Drodi V3.5.1
% 0.20/0.47 % Refutation found
% 0.20/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.47 fof(f3,axiom,(
% 0.20/0.47 (? [B_s] :(! [B_y] :( (? [B_x] :( (? [B_z] :( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)& c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x) ))& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_x) ))<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_s) ) ))),
% 0.20/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.47 fof(f6,axiom,(
% 0.20/0.47 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),v_r)& c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))) ) ),
% 0.20/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.47 fof(f8,axiom,(
% 0.20/0.47 (? [B_x,B_z] :( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)& c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x) ) )),
% 0.20/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.47 fof(f1118,axiom,(
% 0.20/0.47 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 0.20/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.47 fof(f1259,hypothesis,(
% 0.20/0.47 ( (? [B_s] :(! [B_y] :( (? [B_x] :( (? [B_z] :( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)& c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x) ))& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_x) ))<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_s) )))=> v_thesis____ ) ),
% 0.20/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.47 fof(f1260,conjecture,(
% 0.20/0.47 v_thesis____ ),
% 0.20/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.47 fof(f1261,negated_conjecture,(
% 0.20/0.47 ~(v_thesis____ )),
% 0.20/0.47 inference(negated_conjecture,[status(cth)],[f1260])).
% 0.20/0.47 fof(f1266,plain,(
% 0.20/0.47 ?[B_s]: ![B_y]: (((![B_x]: ((![B_z]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)|~c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x)))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_x)))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_s))&((?[B_x]: ((?[B_z]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)&c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x)))&c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_x)))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_s)))),
% 0.20/0.47 inference(NNF_transformation,[status(esa)],[f3])).
% 0.20/0.47 fof(f1267,plain,(
% 0.20/0.47 ?[B_s]: ((![B_y]: ((![B_x]: ((![B_z]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)|~c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x)))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_x)))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_s)))&(![B_y]: ((?[B_x]: ((?[B_z]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)&c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x)))&c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_x)))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_s))))),
% 0.20/0.47 inference(miniscoping,[status(esa)],[f1266])).
% 0.20/0.47 fof(f1268,plain,(
% 0.20/0.47 ((![B_y]: ((![B_x]: ((![B_z]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)|~c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x)))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_x)))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,sk0_1)))&(![B_y]: (((c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk0_3(B_y)),v_r)&c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_3(B_y)))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,sk0_2(B_y)))&c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,sk0_2(B_y)))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,sk0_1))))),
% 0.20/0.47 inference(skolemization,[status(esa)],[f1267])).
% 0.20/0.47 fof(f1269,plain,(
% 0.20/0.47 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),v_r)|~c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,sk0_1))),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f1268])).
% 0.20/0.47 fof(f1270,plain,(
% 0.20/0.47 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk0_3(X0)),v_r)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk0_1))),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f1268])).
% 0.20/0.47 fof(f1271,plain,(
% 0.20/0.47 ![X0]: (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_3(X0)))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,sk0_2(X0))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk0_1))),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f1268])).
% 0.20/0.47 fof(f1272,plain,(
% 0.20/0.47 ![X0]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk0_2(X0))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk0_1))),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f1268])).
% 0.20/0.47 fof(f1279,plain,(
% 0.20/0.47 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),v_r)),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.47 fof(f1282,plain,(
% 0.20/0.47 ?[B_z]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)&(?[B_x]: c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x)))),
% 0.20/0.47 inference(miniscoping,[status(esa)],[f8])).
% 0.20/0.47 fof(f1283,plain,(
% 0.20/0.47 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk0_5),v_r)&c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_5))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,sk0_6))),
% 0.20/0.47 inference(skolemization,[status(esa)],[f1282])).
% 0.20/0.47 fof(f1284,plain,(
% 0.20/0.47 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk0_5),v_r)),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f1283])).
% 0.20/0.47 fof(f4648,plain,(
% 0.20/0.47 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal)),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f1118])).
% 0.20/0.47 fof(f4845,plain,(
% 0.20/0.47 (![B_s]: ?[B_y]: ((?[B_x]: ((?[B_z]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)&c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x)))&c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_x)))<~>c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_s)))|v_thesis____),
% 0.20/0.47 inference(pre_NNF_transformation,[status(esa)],[f1259])).
% 0.20/0.47 fof(f4846,plain,(
% 0.20/0.47 (![B_s]: ?[B_y]: (((?[B_x]: ((?[B_z]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)&c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x)))&c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_x)))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_s))&((![B_x]: ((![B_z]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)|~c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x)))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_x)))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_s))))|v_thesis____),
% 0.20/0.47 inference(NNF_transformation,[status(esa)],[f4845])).
% 0.20/0.47 fof(f4847,plain,(
% 0.20/0.47 (![B_s]: ((((c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk0_73(B_s)),v_r)&c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_73(B_s)))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,sk0_72(B_s)))&c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(B_s),sk0_72(B_s)))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(B_s),B_s))&((![B_x]: ((![B_z]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)|~c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x)))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(B_s),B_x)))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(B_s),B_s))))|v_thesis____),
% 0.20/0.47 inference(skolemization,[status(esa)],[f4846])).
% 0.20/0.47 fof(f4848,plain,(
% 0.20/0.47 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk0_73(X0)),v_r)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),X0)|v_thesis____)),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f4847])).
% 0.20/0.47 fof(f4849,plain,(
% 0.20/0.47 ![X0]: (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_73(X0)))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,sk0_72(X0))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),X0)|v_thesis____)),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f4847])).
% 0.20/0.47 fof(f4850,plain,(
% 0.20/0.47 ![X0]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),sk0_72(X0))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),X0)|v_thesis____)),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f4847])).
% 0.20/0.47 fof(f4851,plain,(
% 0.20/0.47 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),v_r)|~c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X2),X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X2),X2)|v_thesis____)),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f4847])).
% 0.20/0.47 fof(f4852,plain,(
% 0.20/0.47 ~v_thesis____),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f1261])).
% 0.20/0.47 fof(f4874,plain,(
% 0.20/0.47 spl0_2 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk0_73(X0)),v_r)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),X0)),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f4875,plain,(
% 0.20/0.47 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk0_73(X0)),v_r)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),X0)|~spl0_2)),
% 0.20/0.47 inference(component_clause,[status(thm)],[f4874])).
% 0.20/0.47 fof(f4877,plain,(
% 0.20/0.47 spl0_3 <=> v_thesis____),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f4878,plain,(
% 0.20/0.47 v_thesis____|~spl0_3),
% 0.20/0.47 inference(component_clause,[status(thm)],[f4877])).
% 0.20/0.47 fof(f4880,plain,(
% 0.20/0.47 spl0_2|spl0_3),
% 0.20/0.47 inference(split_clause,[status(thm)],[f4848,f4874,f4877])).
% 0.20/0.47 fof(f4881,plain,(
% 0.20/0.47 spl0_4 <=> c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_73(X0)))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,sk0_72(X0))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),X0)),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f4882,plain,(
% 0.20/0.47 ![X0]: (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sk0_73(X0)))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,sk0_72(X0))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),X0)|~spl0_4)),
% 0.20/0.47 inference(component_clause,[status(thm)],[f4881])).
% 0.20/0.47 fof(f4884,plain,(
% 0.20/0.47 spl0_4|spl0_3),
% 0.20/0.47 inference(split_clause,[status(thm)],[f4849,f4881,f4877])).
% 0.20/0.47 fof(f4885,plain,(
% 0.20/0.47 spl0_5 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),sk0_72(X0))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),X0)),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f4886,plain,(
% 0.20/0.47 ![X0]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),sk0_72(X0))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),X0)|~spl0_5)),
% 0.20/0.47 inference(component_clause,[status(thm)],[f4885])).
% 0.20/0.47 fof(f4888,plain,(
% 0.20/0.47 spl0_5|spl0_3),
% 0.20/0.47 inference(split_clause,[status(thm)],[f4850,f4885,f4877])).
% 0.20/0.47 fof(f4889,plain,(
% 0.20/0.47 spl0_6 <=> ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),v_r)|~c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X2),X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X2),X2)),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f4890,plain,(
% 0.20/0.47 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),v_r)|~c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X2),X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X2),X2)|~spl0_6)),
% 0.20/0.47 inference(component_clause,[status(thm)],[f4889])).
% 0.20/0.47 fof(f4892,plain,(
% 0.20/0.47 spl0_6|spl0_3),
% 0.20/0.47 inference(split_clause,[status(thm)],[f4851,f4889,f4877])).
% 0.20/0.47 fof(f5044,plain,(
% 0.20/0.47 $false|~spl0_3),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f4878,f4852])).
% 0.20/0.47 fof(f5045,plain,(
% 0.20/0.47 ~spl0_3),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f5044])).
% 0.20/0.47 fof(f5046,plain,(
% 0.20/0.47 ![X0,X1]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk0_3(X0)),v_r)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X1),sk0_2(X0))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X1),X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk0_1)|~spl0_6)),
% 0.20/0.47 inference(resolution,[status(thm)],[f4890,f1271])).
% 0.20/0.47 fof(f5047,plain,(
% 0.20/0.47 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),sk0_2(X1))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,sk0_1)|~spl0_6)),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f5046,f1270])).
% 0.20/0.47 fof(f5048,plain,(
% 0.20/0.47 ![X0]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),sk0_1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),sk0_1)|~spl0_6)),
% 0.20/0.47 inference(resolution,[status(thm)],[f5047,f1272])).
% 0.20/0.47 fof(f5049,plain,(
% 0.20/0.47 ![X0]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),sk0_1)|~spl0_6)),
% 0.20/0.47 inference(duplicate_literals_removal,[status(esa)],[f5048])).
% 0.20/0.47 fof(f5052,plain,(
% 0.20/0.47 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),X0)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk0_73(X0)),v_r)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,sk0_72(X0))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,sk0_1)|~spl0_4)),
% 0.20/0.47 inference(resolution,[status(thm)],[f4882,f1269])).
% 0.20/0.47 fof(f5053,plain,(
% 0.20/0.47 ![X0,X1]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,sk0_72(X0))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,sk0_1)|~spl0_2|~spl0_4)),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f5052,f4875])).
% 0.20/0.47 fof(f5059,plain,(
% 0.20/0.47 ![X0]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),X0)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),sk0_1)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),X0)|~spl0_2|~spl0_4|~spl0_5)),
% 0.20/0.47 inference(resolution,[status(thm)],[f5053,f4886])).
% 0.20/0.47 fof(f5060,plain,(
% 0.20/0.47 ![X0]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),X0)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(X0),sk0_1)|~spl0_2|~spl0_4|~spl0_5)),
% 0.20/0.47 inference(duplicate_literals_removal,[status(esa)],[f5059])).
% 0.20/0.47 fof(f5076,plain,(
% 0.20/0.47 spl0_7 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),v_r)),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f5078,plain,(
% 0.20/0.47 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),v_r)|spl0_7),
% 0.20/0.47 inference(component_clause,[status(thm)],[f5076])).
% 0.20/0.47 fof(f5121,plain,(
% 0.20/0.47 $false|spl0_7),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f5078,f1279])).
% 0.20/0.47 fof(f5122,plain,(
% 0.20/0.47 spl0_7),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f5121])).
% 0.20/0.47 fof(f5125,plain,(
% 0.20/0.47 spl0_14 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk0_5),v_r)),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f5127,plain,(
% 0.20/0.47 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk0_5),v_r)|spl0_14),
% 0.20/0.47 inference(component_clause,[status(thm)],[f5125])).
% 0.20/0.47 fof(f5172,plain,(
% 0.20/0.47 $false|spl0_14),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f5127,f1284])).
% 0.20/0.47 fof(f5173,plain,(
% 0.20/0.47 spl0_14),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f5172])).
% 0.20/0.47 fof(f5189,plain,(
% 0.20/0.47 spl0_24 <=> class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal)),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f5191,plain,(
% 0.20/0.47 ~class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal)|spl0_24),
% 0.20/0.47 inference(component_clause,[status(thm)],[f5189])).
% 0.20/0.47 fof(f5250,plain,(
% 0.20/0.47 $false|spl0_24),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f4648,f5191])).
% 0.20/0.47 fof(f5251,plain,(
% 0.20/0.47 spl0_24),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f5250])).
% 0.20/0.47 fof(f5295,plain,(
% 0.20/0.47 spl0_44 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(sk0_1),sk0_1)),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f5296,plain,(
% 0.20/0.47 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(sk0_1),sk0_1)|~spl0_44),
% 0.20/0.47 inference(component_clause,[status(thm)],[f5295])).
% 0.20/0.47 fof(f5297,plain,(
% 0.20/0.47 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(sk0_1),sk0_1)|spl0_44),
% 0.20/0.47 inference(component_clause,[status(thm)],[f5295])).
% 0.20/0.47 fof(f5319,plain,(
% 0.20/0.47 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(sk0_1),sk0_1)|spl0_44|~spl0_2|~spl0_4|~spl0_5),
% 0.20/0.47 inference(resolution,[status(thm)],[f5297,f5060])).
% 0.20/0.47 fof(f5320,plain,(
% 0.20/0.47 $false|spl0_44|~spl0_2|~spl0_4|~spl0_5),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f5319,f5297])).
% 0.20/0.47 fof(f5321,plain,(
% 0.20/0.47 spl0_44|~spl0_2|~spl0_4|~spl0_5),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f5320])).
% 0.20/0.47 fof(f5338,plain,(
% 0.20/0.47 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_71(sk0_1),sk0_1)|~spl0_44|~spl0_6),
% 0.20/0.47 inference(resolution,[status(thm)],[f5296,f5049])).
% 0.20/0.47 fof(f5339,plain,(
% 0.20/0.47 ~spl0_44|~spl0_6),
% 0.20/0.47 inference(split_clause,[status(thm)],[f5338,f5295,f4889])).
% 0.41/0.71 fof(f5341,plain,(
% 0.41/0.71 $false),
% 0.41/0.71 inference(sat_refutation,[status(thm)],[f4880,f4884,f4888,f4892,f5045,f5122,f5173,f5251,f5321,f5339])).
% 0.41/0.71 % SZS output end CNFRefutation for theBenchmark.p
% 0.41/0.71 % Elapsed time: 0.146509 seconds
% 0.41/0.71 % CPU time: 0.164799 seconds
% 0.41/0.71 % Memory used: 23.977 MB
%------------------------------------------------------------------------------