TSTP Solution File: SWW233+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWW233+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 : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Mon Mar 7 01:25:09 EST 2011
% Result : Theorem 157.83s
% Output : Solution 157.83s
% 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/SystemOnTPTP17355/SWW233+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% WARNING: TreeLimitedRun lost 1.09s, total lost is 1.09s
% found
% SZS status THM for /tmp/SystemOnTPTP17355/SWW233+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP17355/SWW233+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 17680
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.95 CPU 2.02 WC
% # Preprocessing time : 0.211 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.95 CPU 4.03 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),file('/tmp/SRASS.s.p', fact_real__le__refl)).
% fof(2, axiom,![X1]:![X2]:(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)),file('/tmp/SRASS.s.p', fact_real__le__linear)).
% fof(3, axiom,![X3]:![X4]:![X5]:(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,X4)=>(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4,X3)=>c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,X3))),file('/tmp/SRASS.s.p', fact_real__le__trans)).
% fof(6, axiom,c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),file('/tmp/SRASS.s.p', fact_h)).
% fof(12, axiom,![X11]:![X12]:(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X12,X11)<=>(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X12,X11)|X12=X11)),file('/tmp/SRASS.s.p', fact_less__eq__real__def)).
% fof(14, axiom,![X12]:![X10]:(class_RealVector_Oreal__normed__vector(X10)=>(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X10,X12),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))<=>X12=c_Groups_Ozero__class_Ozero(X10))),file('/tmp/SRASS.s.p', fact_norm__le__zero__iff)).
% fof(15, axiom,![X13]:c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X13)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X13),file('/tmp/SRASS.s.p', fact_real__norm__def)).
% fof(32, axiom,class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),file('/tmp/SRASS.s.p', arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1)).
% fof(36, axiom,class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),file('/tmp/SRASS.s.p', arity_Complex__Ocomplex__RealVector_Oreal__normed__vector)).
% fof(48, axiom,class_Rings_Ozero__neq__one(tc_Complex_Ocomplex),file('/tmp/SRASS.s.p', arity_Complex__Ocomplex__Rings_Ozero__neq__one)).
% fof(70, axiom,class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs)).
% fof(77, axiom,class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Rings_Ocomm__semiring__1)).
% fof(79, axiom,class_Orderings_Opreorder(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Orderings_Opreorder)).
% fof(82, axiom,![X12]:![X10]:(class_RealVector_Oreal__normed__vector(X10)=>(c_RealVector_Onorm__class_Onorm(X10,X12)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)<=>X12=c_Groups_Ozero__class_Ozero(X10))),file('/tmp/SRASS.s.p', fact_norm__eq__zero)).
% fof(94, axiom,class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le)).
% fof(144, axiom,![X10]:(class_RealVector_Oreal__normed__algebra__1(X10)=>c_RealVector_Onorm__class_Onorm(X10,c_Groups_Oone__class_Oone(X10))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),file('/tmp/SRASS.s.p', fact_norm__one)).
% fof(174, axiom,![X12]:![X10]:(class_RealVector_Oreal__normed__vector(X10)=>(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X10,X12))<=>~(X12=c_Groups_Ozero__class_Ozero(X10)))),file('/tmp/SRASS.s.p', fact_zero__less__norm__iff)).
% fof(186, axiom,![X9]:c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X9))),file('/tmp/SRASS.s.p', fact_abs__add__one__gt__zero)).
% fof(297, axiom,![X42]:![X57]:![X43]:![X10]:(class_Groups_Oordered__ab__semigroup__add__imp__le(X10)=>(c_Orderings_Oord__class_Oless__eq(X10,c_Groups_Oplus__class_Oplus(X10,X43,X57),c_Groups_Oplus__class_Oplus(X10,X42,X57))<=>c_Orderings_Oord__class_Oless__eq(X10,X43,X42))),file('/tmp/SRASS.s.p', fact_add__le__cancel__right)).
% fof(378, axiom,![X2]:![X8]:![X9]:![X10]:(class_Orderings_Opreorder(X10)=>(c_Orderings_Oord__class_Oless(X10,X9,X8)=>(c_Orderings_Oord__class_Oless(X10,X8,X2)=>c_Orderings_Oord__class_Oless(X10,X9,X2)))),file('/tmp/SRASS.s.p', fact_order__less__trans)).
% fof(394, axiom,![X11]:![X12]:![X10]:(class_Orderings_Opreorder(X10)=>(c_Orderings_Oord__class_Oless(X10,X12,X11)<=>(c_Orderings_Oord__class_Oless__eq(X10,X12,X11)&~(c_Orderings_Oord__class_Oless__eq(X10,X11,X12))))),file('/tmp/SRASS.s.p', fact_less__le__not__le)).
% fof(929, axiom,![X10]:(class_Rings_Ozero__neq__one(X10)=>~(c_Groups_Ozero__class_Ozero(X10)=c_Groups_Oone__class_Oone(X10))),file('/tmp/SRASS.s.p', fact_zero__neq__one)).
% fof(1092, axiom,![X6]:![X10]:(class_Rings_Ocomm__semiring__1(X10)=>c_Groups_Oplus__class_Oplus(X10,c_Groups_Ozero__class_Ozero(X10),X6)=X6),file('/tmp/SRASS.s.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J)).
% fof(1108, axiom,![X6]:![X10]:(class_Groups_Oordered__ab__group__add__abs(X10)=>(c_Orderings_Oord__class_Oless(X10,c_Groups_Ozero__class_Ozero(X10),X6)=>c_Groups_Oabs__class_Oabs(X10,X6)=X6)),file('/tmp/SRASS.s.p', fact_abs__of__pos)).
% fof(1261, conjecture,c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),file('/tmp/SRASS.s.p', conj_0)).
% fof(1262, negated_conjecture,~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(assume_negation,[status(cth)],[1261])).
% fof(1285, plain,![X11]:![X12]:![X10]:(class_Orderings_Opreorder(X10)=>(c_Orderings_Oord__class_Oless(X10,X12,X11)<=>(c_Orderings_Oord__class_Oless__eq(X10,X12,X11)&~(c_Orderings_Oord__class_Oless__eq(X10,X11,X12))))),inference(fof_simplification,[status(thm)],[394,theory(equality)])).
% fof(1321, negated_conjecture,~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(fof_simplification,[status(thm)],[1262,theory(equality)])).
% fof(1326, plain,![X2]:c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X2),inference(variable_rename,[status(thm)],[1])).
% cnf(1327,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1)),inference(split_conjunct,[status(thm)],[1326])).
% fof(1328, plain,![X3]:![X4]:(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4,X3)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X4)),inference(variable_rename,[status(thm)],[2])).
% cnf(1329,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)),inference(split_conjunct,[status(thm)],[1328])).
% fof(1330, plain,![X3]:![X4]:![X5]:(~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,X4))|(~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4,X3))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,X3))),inference(fof_nnf,[status(thm)],[3])).
% fof(1331, plain,![X6]:![X7]:![X8]:(~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8,X7))|(~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7,X6))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8,X6))),inference(variable_rename,[status(thm)],[1330])).
% cnf(1332,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3)),inference(split_conjunct,[status(thm)],[1331])).
% cnf(1338,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(split_conjunct,[status(thm)],[6])).
% fof(1353, plain,![X11]:![X12]:((~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X12,X11))|(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X12,X11)|X12=X11))&((~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X12,X11))&~(X12=X11))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X12,X11))),inference(fof_nnf,[status(thm)],[12])).
% fof(1354, plain,![X13]:![X14]:((~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X14,X13))|(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X14,X13)|X14=X13))&((~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X14,X13))&~(X14=X13))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X14,X13))),inference(variable_rename,[status(thm)],[1353])).
% fof(1355, plain,![X13]:![X14]:((~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X14,X13))|(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X14,X13)|X14=X13))&((~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X14,X13))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X14,X13))&(~(X14=X13)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X14,X13)))),inference(distribute,[status(thm)],[1354])).
% cnf(1358,plain,(X1=X2|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)),inference(split_conjunct,[status(thm)],[1355])).
% fof(1365, plain,![X12]:![X10]:(~(class_RealVector_Oreal__normed__vector(X10))|((~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X10,X12),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|X12=c_Groups_Ozero__class_Ozero(X10))&(~(X12=c_Groups_Ozero__class_Ozero(X10))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X10,X12),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))))),inference(fof_nnf,[status(thm)],[14])).
% fof(1366, plain,![X13]:![X14]:(~(class_RealVector_Oreal__normed__vector(X14))|((~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X14,X13),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|X13=c_Groups_Ozero__class_Ozero(X14))&(~(X13=c_Groups_Ozero__class_Ozero(X14))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X14,X13),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))))),inference(variable_rename,[status(thm)],[1365])).
% fof(1367, plain,![X13]:![X14]:(((~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X14,X13),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|X13=c_Groups_Ozero__class_Ozero(X14))|~(class_RealVector_Oreal__normed__vector(X14)))&((~(X13=c_Groups_Ozero__class_Ozero(X14))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X14,X13),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|~(class_RealVector_Oreal__normed__vector(X14)))),inference(distribute,[status(thm)],[1366])).
% cnf(1369,plain,(X2=c_Groups_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__vector(X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),inference(split_conjunct,[status(thm)],[1367])).
% fof(1370, plain,![X14]:c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X14)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X14),inference(variable_rename,[status(thm)],[15])).
% cnf(1371,plain,(c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),inference(split_conjunct,[status(thm)],[1370])).
% cnf(1415,plain,(class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex)),inference(split_conjunct,[status(thm)],[32])).
% cnf(1419,plain,(class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)),inference(split_conjunct,[status(thm)],[36])).
% cnf(1431,plain,(class_Rings_Ozero__neq__one(tc_Complex_Ocomplex)),inference(split_conjunct,[status(thm)],[48])).
% cnf(1462,plain,(class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[70])).
% cnf(1469,plain,(class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[77])).
% cnf(1471,plain,(class_Orderings_Opreorder(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[79])).
% fof(1474, plain,![X12]:![X10]:(~(class_RealVector_Oreal__normed__vector(X10))|((~(c_RealVector_Onorm__class_Onorm(X10,X12)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|X12=c_Groups_Ozero__class_Ozero(X10))&(~(X12=c_Groups_Ozero__class_Ozero(X10))|c_RealVector_Onorm__class_Onorm(X10,X12)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),inference(fof_nnf,[status(thm)],[82])).
% fof(1475, plain,![X13]:![X14]:(~(class_RealVector_Oreal__normed__vector(X14))|((~(c_RealVector_Onorm__class_Onorm(X14,X13)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|X13=c_Groups_Ozero__class_Ozero(X14))&(~(X13=c_Groups_Ozero__class_Ozero(X14))|c_RealVector_Onorm__class_Onorm(X14,X13)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),inference(variable_rename,[status(thm)],[1474])).
% fof(1476, plain,![X13]:![X14]:(((~(c_RealVector_Onorm__class_Onorm(X14,X13)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|X13=c_Groups_Ozero__class_Ozero(X14))|~(class_RealVector_Oreal__normed__vector(X14)))&((~(X13=c_Groups_Ozero__class_Ozero(X14))|c_RealVector_Onorm__class_Onorm(X14,X13)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~(class_RealVector_Oreal__normed__vector(X14)))),inference(distribute,[status(thm)],[1475])).
% cnf(1477,plain,(c_RealVector_Onorm__class_Onorm(X1,X2)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X1)|X2!=c_Groups_Ozero__class_Ozero(X1)),inference(split_conjunct,[status(thm)],[1476])).
% cnf(1515,plain,(class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[94])).
% fof(1574, plain,![X10]:(~(class_RealVector_Oreal__normed__algebra__1(X10))|c_RealVector_Onorm__class_Onorm(X10,c_Groups_Oone__class_Oone(X10))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(fof_nnf,[status(thm)],[144])).
% fof(1575, plain,![X11]:(~(class_RealVector_Oreal__normed__algebra__1(X11))|c_RealVector_Onorm__class_Onorm(X11,c_Groups_Oone__class_Oone(X11))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(variable_rename,[status(thm)],[1574])).
% cnf(1576,plain,(c_RealVector_Onorm__class_Onorm(X1,c_Groups_Oone__class_Oone(X1))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__algebra__1(X1)),inference(split_conjunct,[status(thm)],[1575])).
% fof(1681, plain,![X12]:![X10]:(~(class_RealVector_Oreal__normed__vector(X10))|((~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X10,X12)))|~(X12=c_Groups_Ozero__class_Ozero(X10)))&(X12=c_Groups_Ozero__class_Ozero(X10)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X10,X12))))),inference(fof_nnf,[status(thm)],[174])).
% fof(1682, plain,![X13]:![X14]:(~(class_RealVector_Oreal__normed__vector(X14))|((~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X14,X13)))|~(X13=c_Groups_Ozero__class_Ozero(X14)))&(X13=c_Groups_Ozero__class_Ozero(X14)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X14,X13))))),inference(variable_rename,[status(thm)],[1681])).
% fof(1683, plain,![X13]:![X14]:(((~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X14,X13)))|~(X13=c_Groups_Ozero__class_Ozero(X14)))|~(class_RealVector_Oreal__normed__vector(X14)))&((X13=c_Groups_Ozero__class_Ozero(X14)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X14,X13)))|~(class_RealVector_Oreal__normed__vector(X14)))),inference(distribute,[status(thm)],[1682])).
% cnf(1684,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)],[1683])).
% fof(1730, plain,![X10]:c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X10))),inference(variable_rename,[status(thm)],[186])).
% cnf(1731,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)))),inference(split_conjunct,[status(thm)],[1730])).
% fof(2112, plain,![X42]:![X57]:![X43]:![X10]:(~(class_Groups_Oordered__ab__semigroup__add__imp__le(X10))|((~(c_Orderings_Oord__class_Oless__eq(X10,c_Groups_Oplus__class_Oplus(X10,X43,X57),c_Groups_Oplus__class_Oplus(X10,X42,X57)))|c_Orderings_Oord__class_Oless__eq(X10,X43,X42))&(~(c_Orderings_Oord__class_Oless__eq(X10,X43,X42))|c_Orderings_Oord__class_Oless__eq(X10,c_Groups_Oplus__class_Oplus(X10,X43,X57),c_Groups_Oplus__class_Oplus(X10,X42,X57))))),inference(fof_nnf,[status(thm)],[297])).
% fof(2113, plain,![X58]:![X59]:![X60]:![X61]:(~(class_Groups_Oordered__ab__semigroup__add__imp__le(X61))|((~(c_Orderings_Oord__class_Oless__eq(X61,c_Groups_Oplus__class_Oplus(X61,X60,X59),c_Groups_Oplus__class_Oplus(X61,X58,X59)))|c_Orderings_Oord__class_Oless__eq(X61,X60,X58))&(~(c_Orderings_Oord__class_Oless__eq(X61,X60,X58))|c_Orderings_Oord__class_Oless__eq(X61,c_Groups_Oplus__class_Oplus(X61,X60,X59),c_Groups_Oplus__class_Oplus(X61,X58,X59))))),inference(variable_rename,[status(thm)],[2112])).
% fof(2114, plain,![X58]:![X59]:![X60]:![X61]:(((~(c_Orderings_Oord__class_Oless__eq(X61,c_Groups_Oplus__class_Oplus(X61,X60,X59),c_Groups_Oplus__class_Oplus(X61,X58,X59)))|c_Orderings_Oord__class_Oless__eq(X61,X60,X58))|~(class_Groups_Oordered__ab__semigroup__add__imp__le(X61)))&((~(c_Orderings_Oord__class_Oless__eq(X61,X60,X58))|c_Orderings_Oord__class_Oless__eq(X61,c_Groups_Oplus__class_Oplus(X61,X60,X59),c_Groups_Oplus__class_Oplus(X61,X58,X59)))|~(class_Groups_Oordered__ab__semigroup__add__imp__le(X61)))),inference(distribute,[status(thm)],[2113])).
% cnf(2116,plain,(c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X4))),inference(split_conjunct,[status(thm)],[2114])).
% fof(2302, plain,![X2]:![X8]:![X9]:![X10]:(~(class_Orderings_Opreorder(X10))|(~(c_Orderings_Oord__class_Oless(X10,X9,X8))|(~(c_Orderings_Oord__class_Oless(X10,X8,X2))|c_Orderings_Oord__class_Oless(X10,X9,X2)))),inference(fof_nnf,[status(thm)],[378])).
% fof(2303, plain,![X11]:![X12]:![X13]:![X14]:(~(class_Orderings_Opreorder(X14))|(~(c_Orderings_Oord__class_Oless(X14,X13,X12))|(~(c_Orderings_Oord__class_Oless(X14,X12,X11))|c_Orderings_Oord__class_Oless(X14,X13,X11)))),inference(variable_rename,[status(thm)],[2302])).
% cnf(2304,plain,(c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X4,X3)|~c_Orderings_Oord__class_Oless(X1,X2,X4)|~class_Orderings_Opreorder(X1)),inference(split_conjunct,[status(thm)],[2303])).
% fof(2350, plain,![X11]:![X12]:![X10]:(~(class_Orderings_Opreorder(X10))|((~(c_Orderings_Oord__class_Oless(X10,X12,X11))|(c_Orderings_Oord__class_Oless__eq(X10,X12,X11)&~(c_Orderings_Oord__class_Oless__eq(X10,X11,X12))))&((~(c_Orderings_Oord__class_Oless__eq(X10,X12,X11))|c_Orderings_Oord__class_Oless__eq(X10,X11,X12))|c_Orderings_Oord__class_Oless(X10,X12,X11)))),inference(fof_nnf,[status(thm)],[1285])).
% fof(2351, plain,![X13]:![X14]:![X15]:(~(class_Orderings_Opreorder(X15))|((~(c_Orderings_Oord__class_Oless(X15,X14,X13))|(c_Orderings_Oord__class_Oless__eq(X15,X14,X13)&~(c_Orderings_Oord__class_Oless__eq(X15,X13,X14))))&((~(c_Orderings_Oord__class_Oless__eq(X15,X14,X13))|c_Orderings_Oord__class_Oless__eq(X15,X13,X14))|c_Orderings_Oord__class_Oless(X15,X14,X13)))),inference(variable_rename,[status(thm)],[2350])).
% fof(2352, plain,![X13]:![X14]:![X15]:((((c_Orderings_Oord__class_Oless__eq(X15,X14,X13)|~(c_Orderings_Oord__class_Oless(X15,X14,X13)))|~(class_Orderings_Opreorder(X15)))&((~(c_Orderings_Oord__class_Oless__eq(X15,X13,X14))|~(c_Orderings_Oord__class_Oless(X15,X14,X13)))|~(class_Orderings_Opreorder(X15))))&(((~(c_Orderings_Oord__class_Oless__eq(X15,X14,X13))|c_Orderings_Oord__class_Oless__eq(X15,X13,X14))|c_Orderings_Oord__class_Oless(X15,X14,X13))|~(class_Orderings_Opreorder(X15)))),inference(distribute,[status(thm)],[2351])).
% cnf(2354,plain,(~class_Orderings_Opreorder(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X2)),inference(split_conjunct,[status(thm)],[2352])).
% fof(4071, plain,![X10]:(~(class_Rings_Ozero__neq__one(X10))|~(c_Groups_Ozero__class_Ozero(X10)=c_Groups_Oone__class_Oone(X10))),inference(fof_nnf,[status(thm)],[929])).
% fof(4072, plain,![X11]:(~(class_Rings_Ozero__neq__one(X11))|~(c_Groups_Ozero__class_Ozero(X11)=c_Groups_Oone__class_Oone(X11))),inference(variable_rename,[status(thm)],[4071])).
% cnf(4073,plain,(c_Groups_Ozero__class_Ozero(X1)!=c_Groups_Oone__class_Oone(X1)|~class_Rings_Ozero__neq__one(X1)),inference(split_conjunct,[status(thm)],[4072])).
% fof(4646, plain,![X6]:![X10]:(~(class_Rings_Ocomm__semiring__1(X10))|c_Groups_Oplus__class_Oplus(X10,c_Groups_Ozero__class_Ozero(X10),X6)=X6),inference(fof_nnf,[status(thm)],[1092])).
% fof(4647, plain,![X11]:![X12]:(~(class_Rings_Ocomm__semiring__1(X12))|c_Groups_Oplus__class_Oplus(X12,c_Groups_Ozero__class_Ozero(X12),X11)=X11),inference(variable_rename,[status(thm)],[4646])).
% cnf(4648,plain,(c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X2)=X2|~class_Rings_Ocomm__semiring__1(X1)),inference(split_conjunct,[status(thm)],[4647])).
% fof(4706, plain,![X6]:![X10]:(~(class_Groups_Oordered__ab__group__add__abs(X10))|(~(c_Orderings_Oord__class_Oless(X10,c_Groups_Ozero__class_Ozero(X10),X6))|c_Groups_Oabs__class_Oabs(X10,X6)=X6)),inference(fof_nnf,[status(thm)],[1108])).
% fof(4707, plain,![X11]:![X12]:(~(class_Groups_Oordered__ab__group__add__abs(X12))|(~(c_Orderings_Oord__class_Oless(X12,c_Groups_Ozero__class_Ozero(X12),X11))|c_Groups_Oabs__class_Oabs(X12,X11)=X11)),inference(variable_rename,[status(thm)],[4706])).
% cnf(4708,plain,(c_Groups_Oabs__class_Oabs(X1,X2)=X2|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Groups_Oordered__ab__group__add__abs(X1)),inference(split_conjunct,[status(thm)],[4707])).
% cnf(5201,negated_conjecture,(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(split_conjunct,[status(thm)],[1321])).
% cnf(5482,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(rw,[status(thm)],[1338,1371,theory(equality)])).
% cnf(5513,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1)))),inference(rw,[status(thm)],[1731,1371,theory(equality)])).
% cnf(5756,plain,(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)!=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),inference(spm,[status(thm)],[4073,1431,theory(equality)])).
% cnf(5871,plain,(X1=X2|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)),inference(spm,[status(thm)],[1358,1329,theory(equality)])).
% cnf(5946,plain,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(spm,[status(thm)],[1576,1415,theory(equality)])).
% cnf(5985,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X3)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3)),inference(spm,[status(thm)],[1332,1329,theory(equality)])).
% cnf(6002,plain,(~class_Orderings_Opreorder(tc_RealDef_Oreal)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)))),inference(spm,[status(thm)],[2354,5482,theory(equality)])).
% cnf(6032,plain,($false|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)))),inference(rw,[status(thm)],[6002,1471,theory(equality)])).
% cnf(6033,plain,(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)))),inference(cn,[status(thm)],[6032,theory(equality)])).
% cnf(6130,plain,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)!=X1),inference(spm,[status(thm)],[1477,1419,theory(equality)])).
% cnf(7120,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)=X1),inference(spm,[status(thm)],[4648,1469,theory(equality)])).
% cnf(109097,plain,(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)|~class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),inference(spm,[status(thm)],[1369,5946,theory(equality)])).
% cnf(109139,plain,(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)|$false|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),inference(rw,[status(thm)],[109097,1419,theory(equality)])).
% cnf(109140,plain,(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),inference(cn,[status(thm)],[109139,theory(equality)])).
% cnf(109141,plain,(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),inference(sr,[status(thm)],[109140,5756,theory(equality)])).
% cnf(111592,plain,(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)))|c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)!=v_z____),inference(spm,[status(thm)],[6033,6130,theory(equality)])).
% cnf(111766,plain,($false|c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)!=v_z____),inference(rw,[status(thm)],[111592,5513,theory(equality)])).
% cnf(111767,plain,(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)!=v_z____),inference(cn,[status(thm)],[111766,theory(equality)])).
% cnf(113607,negated_conjecture,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)=v_r____|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____),v_r____)),inference(spm,[status(thm)],[5201,5871,theory(equality)])).
% cnf(113743,negated_conjecture,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,v_r____)|c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)=v_r____|~class_Orderings_Opreorder(tc_RealDef_Oreal)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(spm,[status(thm)],[2304,113607,theory(equality)])).
% cnf(113754,negated_conjecture,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,v_r____)|c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)=v_r____|$false|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(rw,[status(thm)],[113743,1471,theory(equality)])).
% cnf(113755,negated_conjecture,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,v_r____)|c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)=v_r____|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(cn,[status(thm)],[113754,theory(equality)])).
% cnf(114110,negated_conjecture,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)=v_r____|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r____)|c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=v_z____|~class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)),inference(spm,[status(thm)],[113755,1684,theory(equality)])).
% cnf(114117,negated_conjecture,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)=v_r____|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r____)|c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=v_z____|$false),inference(rw,[status(thm)],[114110,1419,theory(equality)])).
% cnf(114118,negated_conjecture,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)=v_r____|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r____)|c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=v_z____),inference(cn,[status(thm)],[114117,theory(equality)])).
% cnf(114119,negated_conjecture,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)=v_r____|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r____)),inference(sr,[status(thm)],[114118,111767,theory(equality)])).
% cnf(114166,negated_conjecture,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r____)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,v_r____)),inference(spm,[status(thm)],[5201,114119,theory(equality)])).
% cnf(114261,negated_conjecture,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r____)|$false),inference(rw,[status(thm)],[114166,1327,theory(equality)])).
% cnf(114262,negated_conjecture,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r____)),inference(cn,[status(thm)],[114261,theory(equality)])).
% cnf(114268,negated_conjecture,(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)=v_r____|~class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)),inference(spm,[status(thm)],[4708,114262,theory(equality)])).
% cnf(114282,negated_conjecture,(c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)=v_r____|~class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)),inference(rw,[status(thm)],[114268,1371,theory(equality)])).
% cnf(114283,negated_conjecture,(c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)=v_r____|$false),inference(rw,[status(thm)],[114282,1462,theory(equality)])).
% cnf(114284,negated_conjecture,(c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)=v_r____),inference(cn,[status(thm)],[114283,theory(equality)])).
% cnf(114342,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),v_r____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(rw,[status(thm)],[5482,114284,theory(equality)])).
% cnf(118626,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),v_r____),X1)),inference(spm,[status(thm)],[5985,114342,theory(equality)])).
% cnf(120185,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,v_r____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))|~class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal)),inference(spm,[status(thm)],[2116,118626,theory(equality)])).
% cnf(120229,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,v_r____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))|$false),inference(rw,[status(thm)],[120185,1515,theory(equality)])).
% cnf(120230,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,v_r____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(cn,[status(thm)],[120229,theory(equality)])).
% cnf(127630,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),inference(spm,[status(thm)],[120230,7120,theory(equality)])).
% cnf(127659,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),inference(sr,[status(thm)],[127630,5201,theory(equality)])).
% cnf(127660,plain,($false),inference(sr,[status(thm)],[127659,109141,theory(equality)])).
% cnf(127661,plain,($false),127660,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 5169
% # ...of these trivial : 76
% # ...subsumed : 1693
% # ...remaining for further processing: 3400
% # Other redundant clauses eliminated : 252
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 39
% # Backward-rewritten : 16
% # Generated clauses : 60056
% # ...of the previous two non-trivial : 55644
% # Contextual simplify-reflections : 230
% # Paramodulations : 59750
% # Factorizations : 13
% # Equation resolutions : 292
% # Current number of processed clauses: 1826
% # Positive orientable unit clauses: 368
% # Positive unorientable unit clauses: 12
% # Negative unit clauses : 86
% # Non-unit-clauses : 1360
% # Current number of unprocessed clauses: 52690
% # ...number of literals in the above : 171390
% # Clause-clause subsumption calls (NU) : 143296
% # Rec. Clause-clause subsumption calls : 83112
% # Unit Clause-clause subsumption calls : 2377
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 2196
% # Indexed BW rewrite successes : 194
% # Backwards rewriting index: 1198 leaves, 2.21+/-3.805 terms/leaf
% # Paramod-from index: 602 leaves, 1.57+/-2.037 terms/leaf
% # Paramod-into index: 1095 leaves, 1.91+/-2.904 terms/leaf
% # -------------------------------------------------
% # User time : 2.908 s
% # System time : 0.092 s
% # Total time : 3.000 s
% # Maximum resident set size: 0 pages
% PrfWatch: 4.93 CPU 5.03 WC
% FINAL PrfWatch: 4.93 CPU 5.03 WC
% SZS output end Solution for /tmp/SystemOnTPTP17355/SWW233+1.tptp
%
%------------------------------------------------------------------------------