TSTP Solution File: SWW222+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWW222+1 : TPTP v5.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Mon Mar 7 01:03:53 EST 2011
% Result : Theorem 163.68s
% Output : Solution 163.68s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP32659/SWW222+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% WARNING: TreeLimitedRun lost 0.66s, total lost is 0.66s
% found
% SZS status THM for /tmp/SystemOnTPTP32659/SWW222+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP32659/SWW222+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC time limit is 120s
% TreeLimitedRun: PID is 387
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.91 CPU 4.01 WC
% PrfWatch: 5.91 CPU 6.02 WC
% # Preprocessing time : 0.222 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 7.89 CPU 8.02 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),file('/tmp/SRASS.s.p', fact_e2)).
% fof(5, axiom,((c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))&c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____))=>c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),file('/tmp/SRASS.s.p', fact__0960_A_060_Acmod_A_Iw_A_N_Az_J_A_G_Acmod_A_Iw_A_N_Az_J_A_060_Ad_061_061_062_Acmod_A_Ipoly_Ap_Aw_A_N_Apoly_Ap_Az_J_A_060_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_P_A2_096)).
% fof(10, axiom,c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____),file('/tmp/SRASS.s.p', fact_w)).
% fof(13, axiom,![X8]:c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X8)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X8),file('/tmp/SRASS.s.p', fact_real__norm__def)).
% fof(71, axiom,![X6]:![X7]:c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X7,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X6)))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X6,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X7))),file('/tmp/SRASS.s.p', fact_abs__minus__add__cancel)).
% fof(83, axiom,![X6]:![X7]:c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X7,X6)=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X7,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X6)),file('/tmp/SRASS.s.p', fact_minus__real__def)).
% fof(147, axiom,![X7]:![X27]:(class_RealVector_Oreal__normed__vector(X27)=>c_RealVector_Onorm__class_Onorm(X27,c_Groups_Ouminus__class_Ouminus(X27,X7))=c_RealVector_Onorm__class_Onorm(X27,X7)),file('/tmp/SRASS.s.p', fact_norm__minus__cancel)).
% fof(169, axiom,![X14]:![X27]:(class_RealVector_Oreal__normed__vector(X27)=>(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X27,X14))<=>~(X14=c_Groups_Ozero__class_Ozero(X27)))),file('/tmp/SRASS.s.p', fact_zero__less__norm__iff)).
% fof(286, axiom,class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),file('/tmp/SRASS.s.p', arity_Complex__Ocomplex__RealVector_Oreal__normed__vector)).
% fof(301, axiom,class_Groups_Oab__group__add(tc_Complex_Ocomplex),file('/tmp/SRASS.s.p', arity_Complex__Ocomplex__Groups_Oab__group__add)).
% fof(307, axiom,class_Groups_Ogroup__add(tc_Complex_Ocomplex),file('/tmp/SRASS.s.p', arity_Complex__Ocomplex__Groups_Ogroup__add)).
% fof(356, axiom,class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__RealVector_Oreal__normed__vector)).
% fof(381, axiom,class_Groups_Oab__group__add(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Groups_Oab__group__add)).
% fof(473, axiom,![X25]:![X26]:![X27]:(class_Groups_Oab__group__add(X27)=>(X26=X25<=>c_Groups_Ominus__class_Ominus(X27,X26,X25)=c_Groups_Ozero__class_Ozero(X27))),file('/tmp/SRASS.s.p', fact_eq__iff__diff__eq__0)).
% fof(501, axiom,![X27]:(class_RealVector_Oreal__normed__vector(X27)=>c_RealVector_Onorm__class_Onorm(X27,c_Groups_Ozero__class_Ozero(X27))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),file('/tmp/SRASS.s.p', fact_norm__zero)).
% fof(603, axiom,![X19]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,X19,c_Int_OPls)=X19,file('/tmp/SRASS.s.p', fact_add__Pls__right)).
% fof(604, axiom,![X19]:c_Int_OBit0(X19)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X19,X19),file('/tmp/SRASS.s.p', fact_Bit0__def)).
% fof(646, axiom,![X10]:![X9]:![X27]:(class_Groups_Oab__group__add(X27)=>c_Groups_Ouminus__class_Ouminus(X27,c_Groups_Oplus__class_Oplus(X27,X9,X10))=c_Groups_Oplus__class_Oplus(X27,c_Groups_Ouminus__class_Ouminus(X27,X9),c_Groups_Ouminus__class_Ouminus(X27,X10))),file('/tmp/SRASS.s.p', fact_minus__add__distrib)).
% fof(938, axiom,![X19]:c_Int_OBit1(X19)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X19),X19),file('/tmp/SRASS.s.p', fact_Bit1__def)).
% fof(1116, axiom,![X9]:![X27]:(class_Groups_Ogroup__add(X27)=>c_Groups_Ominus__class_Ominus(X27,X9,X9)=c_Groups_Ozero__class_Ozero(X27)),file('/tmp/SRASS.s.p', fact_diff__self)).
% fof(1251, conjecture,c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),file('/tmp/SRASS.s.p', conj_0)).
% fof(1252, negated_conjecture,~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(assume_negation,[status(cth)],[1251])).
% fof(1311, negated_conjecture,~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(fof_simplification,[status(thm)],[1252,theory(equality)])).
% cnf(1312,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(split_conjunct,[status(thm)],[1])).
% fof(1326, plain,((~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))))|~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(fof_nnf,[status(thm)],[5])).
% cnf(1327,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))),inference(split_conjunct,[status(thm)],[1326])).
% cnf(1344,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)),inference(split_conjunct,[status(thm)],[10])).
% fof(1347, plain,![X9]:c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X9)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X9),inference(variable_rename,[status(thm)],[13])).
% cnf(1348,plain,(c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),inference(split_conjunct,[status(thm)],[1347])).
% fof(1547, plain,![X8]:![X9]:c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X9,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X8)))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X8,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X9))),inference(variable_rename,[status(thm)],[71])).
% cnf(1548,plain,(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)))),inference(split_conjunct,[status(thm)],[1547])).
% fof(1581, plain,![X8]:![X9]:c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X9,X8)=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X9,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X8)),inference(variable_rename,[status(thm)],[83])).
% cnf(1582,plain,(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2)=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2))),inference(split_conjunct,[status(thm)],[1581])).
% fof(1776, plain,![X7]:![X27]:(~(class_RealVector_Oreal__normed__vector(X27))|c_RealVector_Onorm__class_Onorm(X27,c_Groups_Ouminus__class_Ouminus(X27,X7))=c_RealVector_Onorm__class_Onorm(X27,X7)),inference(fof_nnf,[status(thm)],[147])).
% fof(1777, plain,![X28]:![X29]:(~(class_RealVector_Oreal__normed__vector(X29))|c_RealVector_Onorm__class_Onorm(X29,c_Groups_Ouminus__class_Ouminus(X29,X28))=c_RealVector_Onorm__class_Onorm(X29,X28)),inference(variable_rename,[status(thm)],[1776])).
% cnf(1778,plain,(c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ouminus__class_Ouminus(X1,X2))=c_RealVector_Onorm__class_Onorm(X1,X2)|~class_RealVector_Oreal__normed__vector(X1)),inference(split_conjunct,[status(thm)],[1777])).
% fof(1851, plain,![X14]:![X27]:(~(class_RealVector_Oreal__normed__vector(X27))|((~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X27,X14)))|~(X14=c_Groups_Ozero__class_Ozero(X27)))&(X14=c_Groups_Ozero__class_Ozero(X27)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X27,X14))))),inference(fof_nnf,[status(thm)],[169])).
% fof(1852, plain,![X28]:![X29]:(~(class_RealVector_Oreal__normed__vector(X29))|((~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X29,X28)))|~(X28=c_Groups_Ozero__class_Ozero(X29)))&(X28=c_Groups_Ozero__class_Ozero(X29)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X29,X28))))),inference(variable_rename,[status(thm)],[1851])).
% fof(1853, plain,![X28]:![X29]:(((~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X29,X28)))|~(X28=c_Groups_Ozero__class_Ozero(X29)))|~(class_RealVector_Oreal__normed__vector(X29)))&((X28=c_Groups_Ozero__class_Ozero(X29)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X29,X28)))|~(class_RealVector_Oreal__normed__vector(X29)))),inference(distribute,[status(thm)],[1852])).
% cnf(1854,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2))|X2=c_Groups_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__vector(X1)),inference(split_conjunct,[status(thm)],[1853])).
% cnf(2207,plain,(class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)),inference(split_conjunct,[status(thm)],[286])).
% cnf(2222,plain,(class_Groups_Oab__group__add(tc_Complex_Ocomplex)),inference(split_conjunct,[status(thm)],[301])).
% cnf(2228,plain,(class_Groups_Ogroup__add(tc_Complex_Ocomplex)),inference(split_conjunct,[status(thm)],[307])).
% cnf(2315,plain,(class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[356])).
% cnf(2340,plain,(class_Groups_Oab__group__add(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[381])).
% fof(2639, plain,![X25]:![X26]:![X27]:(~(class_Groups_Oab__group__add(X27))|((~(X26=X25)|c_Groups_Ominus__class_Ominus(X27,X26,X25)=c_Groups_Ozero__class_Ozero(X27))&(~(c_Groups_Ominus__class_Ominus(X27,X26,X25)=c_Groups_Ozero__class_Ozero(X27))|X26=X25))),inference(fof_nnf,[status(thm)],[473])).
% fof(2640, plain,![X28]:![X29]:![X30]:(~(class_Groups_Oab__group__add(X30))|((~(X29=X28)|c_Groups_Ominus__class_Ominus(X30,X29,X28)=c_Groups_Ozero__class_Ozero(X30))&(~(c_Groups_Ominus__class_Ominus(X30,X29,X28)=c_Groups_Ozero__class_Ozero(X30))|X29=X28))),inference(variable_rename,[status(thm)],[2639])).
% fof(2641, plain,![X28]:![X29]:![X30]:(((~(X29=X28)|c_Groups_Ominus__class_Ominus(X30,X29,X28)=c_Groups_Ozero__class_Ozero(X30))|~(class_Groups_Oab__group__add(X30)))&((~(c_Groups_Ominus__class_Ominus(X30,X29,X28)=c_Groups_Ozero__class_Ozero(X30))|X29=X28)|~(class_Groups_Oab__group__add(X30)))),inference(distribute,[status(thm)],[2640])).
% cnf(2642,plain,(X2=X3|~class_Groups_Oab__group__add(X1)|c_Groups_Ominus__class_Ominus(X1,X2,X3)!=c_Groups_Ozero__class_Ozero(X1)),inference(split_conjunct,[status(thm)],[2641])).
% fof(2720, plain,![X27]:(~(class_RealVector_Oreal__normed__vector(X27))|c_RealVector_Onorm__class_Onorm(X27,c_Groups_Ozero__class_Ozero(X27))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),inference(fof_nnf,[status(thm)],[501])).
% fof(2721, plain,![X28]:(~(class_RealVector_Oreal__normed__vector(X28))|c_RealVector_Onorm__class_Onorm(X28,c_Groups_Ozero__class_Ozero(X28))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),inference(variable_rename,[status(thm)],[2720])).
% cnf(2722,plain,(c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X1)),inference(split_conjunct,[status(thm)],[2721])).
% fof(3041, plain,![X20]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,X20,c_Int_OPls)=X20,inference(variable_rename,[status(thm)],[603])).
% cnf(3042,plain,(c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Int_OPls)=X1),inference(split_conjunct,[status(thm)],[3041])).
% fof(3043, plain,![X20]:c_Int_OBit0(X20)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X20,X20),inference(variable_rename,[status(thm)],[604])).
% cnf(3044,plain,(c_Int_OBit0(X1)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1)),inference(split_conjunct,[status(thm)],[3043])).
% fof(3185, plain,![X10]:![X9]:![X27]:(~(class_Groups_Oab__group__add(X27))|c_Groups_Ouminus__class_Ouminus(X27,c_Groups_Oplus__class_Oplus(X27,X9,X10))=c_Groups_Oplus__class_Oplus(X27,c_Groups_Ouminus__class_Ouminus(X27,X9),c_Groups_Ouminus__class_Ouminus(X27,X10))),inference(fof_nnf,[status(thm)],[646])).
% fof(3186, plain,![X28]:![X29]:![X30]:(~(class_Groups_Oab__group__add(X30))|c_Groups_Ouminus__class_Ouminus(X30,c_Groups_Oplus__class_Oplus(X30,X29,X28))=c_Groups_Oplus__class_Oplus(X30,c_Groups_Ouminus__class_Ouminus(X30,X29),c_Groups_Ouminus__class_Ouminus(X30,X28))),inference(variable_rename,[status(thm)],[3185])).
% cnf(3187,plain,(c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3))=c_Groups_Oplus__class_Oplus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))|~class_Groups_Oab__group__add(X1)),inference(split_conjunct,[status(thm)],[3186])).
% fof(4316, plain,![X20]:c_Int_OBit1(X20)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X20),X20),inference(variable_rename,[status(thm)],[938])).
% cnf(4317,plain,(c_Int_OBit1(X1)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1)),inference(split_conjunct,[status(thm)],[4316])).
% fof(4783, plain,![X9]:![X27]:(~(class_Groups_Ogroup__add(X27))|c_Groups_Ominus__class_Ominus(X27,X9,X9)=c_Groups_Ozero__class_Ozero(X27)),inference(fof_nnf,[status(thm)],[1116])).
% fof(4784, plain,![X28]:![X29]:(~(class_Groups_Ogroup__add(X29))|c_Groups_Ominus__class_Ominus(X29,X28,X28)=c_Groups_Ozero__class_Ozero(X29)),inference(variable_rename,[status(thm)],[4783])).
% cnf(4785,plain,(c_Groups_Ominus__class_Ominus(X1,X2,X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1)),inference(split_conjunct,[status(thm)],[4784])).
% cnf(5210,negated_conjecture,(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(split_conjunct,[status(thm)],[1311])).
% cnf(5253,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls)))))),inference(rw,[status(thm)],[1312,3044,theory(equality)]),['unfolding']).
% cnf(5318,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls)))))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))),inference(rw,[status(thm)],[1327,3044,theory(equality)]),['unfolding']).
% cnf(5333,negated_conjecture,(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls)))))),inference(rw,[status(thm)],[5210,3044,theory(equality)]),['unfolding']).
% cnf(5506,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[5253,4317,theory(equality)]),4317,theory(equality)]),['unfolding']).
% cnf(5581,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[5318,4317,theory(equality)]),4317,theory(equality)]),['unfolding']).
% cnf(5604,negated_conjecture,(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[5333,4317,theory(equality)]),4317,theory(equality)]),['unfolding']).
% cnf(5685,plain,(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)))),inference(rw,[status(thm)],[1548,1582,theory(equality)])).
% cnf(5686,plain,(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1))),inference(rw,[status(thm)],[5685,1582,theory(equality)])).
% cnf(5932,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5506,5686,theory(equality)]),3042,theory(equality)]),3042,theory(equality)]),3042,theory(equality)]),3042,theory(equality)])).
% cnf(6017,negated_conjecture,(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5604,5686,theory(equality)]),3042,theory(equality)]),3042,theory(equality)]),3042,theory(equality)]),3042,theory(equality)])).
% cnf(6055,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5581,5686,theory(equality)]),3042,theory(equality)]),3042,theory(equality)]),3042,theory(equality)]),3042,theory(equality)])).
% cnf(6056,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))|$false|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))),inference(rw,[status(thm)],[6055,1344,theory(equality)])).
% cnf(6057,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))),inference(cn,[status(thm)],[6056,theory(equality)])).
% cnf(6058,plain,(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))),inference(sr,[status(thm)],[6057,6017,theory(equality)])).
% cnf(6401,plain,(c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))|~class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal)),inference(spm,[status(thm)],[1348,1778,theory(equality)])).
% cnf(6406,plain,(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))|~class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal)),inference(rw,[status(thm)],[6401,1348,theory(equality)])).
% cnf(6407,plain,(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))|$false),inference(rw,[status(thm)],[6406,2315,theory(equality)])).
% cnf(6408,plain,(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),inference(cn,[status(thm)],[6407,theory(equality)])).
% cnf(6646,plain,(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X1)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),inference(spm,[status(thm)],[4785,2228,theory(equality)])).
% cnf(7183,plain,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),inference(spm,[status(thm)],[2722,2207,theory(equality)])).
% cnf(12801,plain,(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=X1|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))),inference(spm,[status(thm)],[1854,2207,theory(equality)])).
% cnf(14508,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2))),inference(spm,[status(thm)],[3187,2340,theory(equality)])).
% cnf(14511,plain,(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2)=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2))),inference(rw,[status(thm)],[14508,1582,theory(equality)])).
% cnf(99342,negated_conjecture,(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_s____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[6017,14511,theory(equality)]),6408,theory(equality)])).
% cnf(99346,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_s____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[5932,14511,theory(equality)]),6408,theory(equality)])).
% cnf(217302,plain,(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),inference(spm,[status(thm)],[6058,12801,theory(equality)])).
% cnf(217356,plain,(v_wa____=v_z____|~class_Groups_Oab__group__add(tc_Complex_Ocomplex)),inference(spm,[status(thm)],[2642,217302,theory(equality)])).
% cnf(217408,plain,(v_wa____=v_z____|$false),inference(rw,[status(thm)],[217356,2222,theory(equality)])).
% cnf(217409,plain,(v_wa____=v_z____),inference(cn,[status(thm)],[217408,theory(equality)])).
% cnf(217423,negated_conjecture,($false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[99342,217409,theory(equality)]),6646,theory(equality)]),7183,theory(equality)]),99346,theory(equality)])).
% cnf(217424,negated_conjecture,($false),inference(cn,[status(thm)],[217423,theory(equality)])).
% cnf(217425,negated_conjecture,($false),217424,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 11062
% # ...of these trivial : 492
% # ...subsumed : 6269
% # ...remaining for further processing: 4301
% # Other redundant clauses eliminated : 281
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 28
% # Backward-rewritten : 73
% # Generated clauses : 104112
% # ...of the previous two non-trivial : 90801
% # Contextual simplify-reflections : 869
% # Paramodulations : 103747
% # Factorizations : 19
% # Equation resolutions : 346
% # Current number of processed clauses: 2778
% # Positive orientable unit clauses: 704
% # Positive unorientable unit clauses: 22
% # Negative unit clauses : 189
% # Non-unit-clauses : 1863
% # Current number of unprocessed clauses: 79883
% # ...number of literals in the above : 222065
% # Clause-clause subsumption calls (NU) : 62257
% # Rec. Clause-clause subsumption calls : 54204
% # Unit Clause-clause subsumption calls : 4164
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 10052
% # Indexed BW rewrite successes : 736
% # Backwards rewriting index: 1227 leaves, 2.56+/-8.669 terms/leaf
% # Paramod-from index: 757 leaves, 1.83+/-3.278 terms/leaf
% # Paramod-into index: 1142 leaves, 2.32+/-8.468 terms/leaf
% # -------------------------------------------------
% # User time : 5.666 s
% # System time : 0.188 s
% # Total time : 5.854 s
% # Maximum resident set size: 0 pages
% PrfWatch: 8.85 CPU 9.00 WC
% FINAL PrfWatch: 8.85 CPU 9.00 WC
% SZS output end Solution for /tmp/SystemOnTPTP32659/SWW222+1.tptp
%
%------------------------------------------------------------------------------