TSTP Solution File: SWW234+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWW234+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 : art04.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 01:14:16 EST 2011
% Result : Theorem 174.72s
% Output : Solution 174.72s
% 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/SystemOnTPTP28828/SWW234+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% WARNING: TreeLimitedRun lost 0.44s, total lost is 0.44s
% found
% SZS status THM for /tmp/SystemOnTPTP28828/SWW234+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP28828/SWW234+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 29060
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.93 CPU 2.01 WC
% PrfWatch: 3.92 CPU 4.02 WC
% PrfWatch: 5.91 CPU 6.02 WC
% # Preprocessing time : 0.210 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 7.91 CPU 8.03 WC
% PrfWatch: 9.90 CPU 10.03 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,![X6]:c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X6)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X6)),file('/tmp/SRASS.s.p', fact_complex__mod__minus__le__complex__mod)).
% fof(10, 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(14, axiom,![X11]:(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X11),c_Groups_Oone__class_Oone(tc_Nat_Onat))<=>c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X11,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),file('/tmp/SRASS.s.p', fact_natceiling__le__eq__one)).
% fof(19, axiom,![X13]:![X11]:(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X11,X13)<=>(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X11,X13)&~(X11=X13))),file('/tmp/SRASS.s.p', fact_real__less__def)).
% fof(77, axiom,![X9]:![X6]:(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X6,X9)=>c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X6),c_RComplete_Onatfloor(X9))),file('/tmp/SRASS.s.p', fact_natfloor__mono)).
% fof(81, axiom,class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Rings_Ocomm__semiring__1)).
% fof(85, axiom,class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct)).
% fof(94, 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(97, axiom,class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Groups_Olinordered__ab__group__add)).
% fof(106, axiom,class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Groups_Oordered__ab__group__add)).
% fof(120, axiom,class_Groups_Oab__group__add(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Groups_Oab__group__add)).
% fof(129, axiom,class_Groups_Ogroup__add(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Groups_Ogroup__add)).
% fof(155, axiom,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', fact_real__of__nat__1)).
% fof(188, axiom,![X6]:(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X6)=>c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X6,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(X6),c_Groups_Oone__class_Oone(tc_Nat_Onat))),file('/tmp/SRASS.s.p', fact_natfloor__add__one)).
% fof(204, axiom,![X7]:![X10]:(class_Rings_Ocomm__semiring__1(X10)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X10),X7),c_Groups_Oone__class_Oone(X10))=X7),file('/tmp/SRASS.s.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J)).
% fof(243, axiom,![X44]:![X43]:![X10]:(class_Groups_Oordered__ab__group__add(X10)=>(c_Orderings_Oord__class_Oless__eq(X10,X43,X44)<=>c_Orderings_Oord__class_Oless__eq(X10,c_Groups_Ominus__class_Ominus(X10,X43,X44),c_Groups_Ozero__class_Ozero(X10)))),file('/tmp/SRASS.s.p', fact_le__iff__diff__le__0)).
% fof(287, axiom,![X17]:c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X17),file('/tmp/SRASS.s.p', fact_le0)).
% fof(289, axiom,![X22]:![X21]:(~(X21=X22)<=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X21,X22)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X22,X21))),file('/tmp/SRASS.s.p', fact_nat__neq__iff)).
% fof(309, axiom,![X6]:(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X6)=>c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X6)),X6)),file('/tmp/SRASS.s.p', fact_real__natfloor__le)).
% fof(328, axiom,![X17]:![X18]:(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X18,X17)=>(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17,X18)=>X18=X17)),file('/tmp/SRASS.s.p', fact_le__antisym)).
% fof(385, axiom,![X13]:![X11]:![X10]:(class_Orderings_Opreorder(X10)=>(c_Orderings_Oord__class_Oless(X10,X11,X13)<=>(c_Orderings_Oord__class_Oless__eq(X10,X11,X13)&~(c_Orderings_Oord__class_Oless__eq(X10,X13,X11))))),file('/tmp/SRASS.s.p', fact_less__le__not__le)).
% fof(451, axiom,![X20]:![X7]:![X10]:(class_Rings_Ocomm__semiring__1(X10)=>c_Groups_Oplus__class_Oplus(X10,X7,X20)=c_Groups_Oplus__class_Oplus(X10,X20,X7)),file('/tmp/SRASS.s.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J)).
% fof(479, axiom,![X17]:c_Nat_OSuc(X17)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X17,c_Groups_Oone__class_Oone(tc_Nat_Onat)),file('/tmp/SRASS.s.p', fact_Suc__eq__plus1)).
% fof(509, axiom,class_Orderings_Opreorder(tc_Nat_Onat),file('/tmp/SRASS.s.p', arity_Nat__Onat__Orderings_Opreorder)).
% fof(673, axiom,![X8]:![X7]:![X10]:(class_Groups_Ogroup__add(X10)=>c_Groups_Oplus__class_Oplus(X10,c_Groups_Ominus__class_Ominus(X10,X7,X8),X8)=X7),file('/tmp/SRASS.s.p', fact_diff__add__cancel)).
% fof(705, axiom,![X17]:c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,X17))=X17,file('/tmp/SRASS.s.p', fact_natceiling__real__of__nat)).
% fof(780, axiom,![X7]:![X10]:(class_Groups_Oordered__ab__group__add__abs(X10)=>c_Orderings_Oord__class_Oless__eq(X10,c_Groups_Ozero__class_Ozero(X10),c_Groups_Oabs__class_Oabs(X10,X7))),file('/tmp/SRASS.s.p', fact_abs__ge__zero)).
% fof(807, axiom,![X43]:![X10]:(class_Groups_Olinordered__ab__group__add(X10)=>(c_Orderings_Oord__class_Oless__eq(X10,c_Groups_Ouminus__class_Ouminus(X10,X43),X43)<=>c_Orderings_Oord__class_Oless__eq(X10,c_Groups_Ozero__class_Ozero(X10),X43))),file('/tmp/SRASS.s.p', fact_minus__le__self__iff)).
% fof(825, axiom,![X17]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X17)=X17,file('/tmp/SRASS.s.p', fact_plus__nat_Oadd__0)).
% fof(878, axiom,![X7]:![X18]:![X10]:(class_Rings_Ocomm__semiring__1(X10)=>c_Groups_Oplus__class_Oplus(X10,X18,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X10),X7),X18))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X10),c_Groups_Oplus__class_Oplus(X10,X7,c_Groups_Oone__class_Oone(X10))),X18)),file('/tmp/SRASS.s.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J)).
% fof(890, axiom,![X17]:![X18]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,X17)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X17,X18),file('/tmp/SRASS.s.p', fact_nat__add__commute)).
% fof(981, axiom,![X10]:(class_Groups_Ogroup__add(X10)=>c_Groups_Ouminus__class_Ouminus(X10,c_Groups_Ozero__class_Ozero(X10))=c_Groups_Ozero__class_Ozero(X10)),file('/tmp/SRASS.s.p', fact_minus__zero)).
% fof(990, axiom,![X8]:![X7]:![X10]:(class_Groups_Oab__group__add(X10)=>c_Groups_Ouminus__class_Ouminus(X10,c_Groups_Ominus__class_Ominus(X10,X7,X8))=c_Groups_Ominus__class_Ominus(X10,X8,X7)),file('/tmp/SRASS.s.p', fact_minus__diff__eq)).
% fof(1039, axiom,![X18]:~(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Nat_OSuc(X18)),file('/tmp/SRASS.s.p', fact_Zero__not__Suc)).
% fof(1058, axiom,![X43]:![X44]:![X10]:(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X10)=>(X44=c_Groups_Oplus__class_Oplus(X10,X44,X43)<=>X43=c_Groups_Ozero__class_Ozero(X10))),file('/tmp/SRASS.s.p', fact_add__0__iff)).
% fof(1235, axiom,![X22]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X22,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))<=>X22=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),file('/tmp/SRASS.s.p', fact_less__Suc0)).
% fof(1274, conjecture,c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),file('/tmp/SRASS.s.p', conj_0)).
% fof(1275, negated_conjecture,~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(assume_negation,[status(cth)],[1274])).
% fof(1290, plain,![X13]:![X11]:![X10]:(class_Orderings_Opreorder(X10)=>(c_Orderings_Oord__class_Oless(X10,X11,X13)<=>(c_Orderings_Oord__class_Oless__eq(X10,X11,X13)&~(c_Orderings_Oord__class_Oless__eq(X10,X13,X11))))),inference(fof_simplification,[status(thm)],[385,theory(equality)])).
% fof(1342, negated_conjecture,~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(fof_simplification,[status(thm)],[1275,theory(equality)])).
% fof(1343, plain,![X2]:c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X2),inference(variable_rename,[status(thm)],[1])).
% cnf(1344,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1)),inference(split_conjunct,[status(thm)],[1343])).
% fof(1345, 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(1346,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)],[1345])).
% fof(1347, 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(1348, 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)],[1347])).
% cnf(1349,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)],[1348])).
% fof(1353, plain,![X7]:c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X7)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X7)),inference(variable_rename,[status(thm)],[6])).
% cnf(1354,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))),inference(split_conjunct,[status(thm)],[1353])).
% cnf(1363,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)],[10])).
% fof(1373, plain,![X11]:((~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X11),c_Groups_Oone__class_Oone(tc_Nat_Onat)))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X11,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))&(~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X11,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X11),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),inference(fof_nnf,[status(thm)],[14])).
% fof(1374, plain,![X12]:((~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X12),c_Groups_Oone__class_Oone(tc_Nat_Onat)))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X12,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))&(~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X12,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X12),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),inference(variable_rename,[status(thm)],[1373])).
% cnf(1375,plain,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),inference(split_conjunct,[status(thm)],[1374])).
% fof(1387, plain,![X13]:![X11]:((~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X11,X13))|(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X11,X13)&~(X11=X13)))&((~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X11,X13))|X11=X13)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X11,X13))),inference(fof_nnf,[status(thm)],[19])).
% fof(1388, plain,![X14]:![X15]:((~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X15,X14))|(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X15,X14)&~(X15=X14)))&((~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X15,X14))|X15=X14)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X15,X14))),inference(variable_rename,[status(thm)],[1387])).
% fof(1389, plain,![X14]:![X15]:(((c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X15,X14)|~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X15,X14)))&(~(X15=X14)|~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X15,X14))))&((~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X15,X14))|X15=X14)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X15,X14))),inference(distribute,[status(thm)],[1388])).
% cnf(1390,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)|X1=X2|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)),inference(split_conjunct,[status(thm)],[1389])).
% cnf(1392,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)),inference(split_conjunct,[status(thm)],[1389])).
% fof(1490, plain,![X9]:![X6]:(~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X6,X9))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X6),c_RComplete_Onatfloor(X9))),inference(fof_nnf,[status(thm)],[77])).
% fof(1491, plain,![X10]:![X11]:(~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X11,X10))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X11),c_RComplete_Onatfloor(X10))),inference(variable_rename,[status(thm)],[1490])).
% cnf(1492,plain,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X1),c_RComplete_Onatfloor(X2))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)),inference(split_conjunct,[status(thm)],[1491])).
% cnf(1501,plain,(class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[81])).
% cnf(1510,plain,(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[85])).
% cnf(1519,plain,(class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[94])).
% cnf(1522,plain,(class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[97])).
% cnf(1531,plain,(class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[106])).
% cnf(1545,plain,(class_Groups_Oab__group__add(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[120])).
% cnf(1554,plain,(class_Groups_Ogroup__add(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[129])).
% cnf(1608,plain,(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[155])).
% fof(1730, plain,![X6]:(~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X6))|c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X6,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(X6),c_Groups_Oone__class_Oone(tc_Nat_Onat))),inference(fof_nnf,[status(thm)],[188])).
% fof(1731, plain,![X7]:(~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X7))|c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X7,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(X7),c_Groups_Oone__class_Oone(tc_Nat_Onat))),inference(variable_rename,[status(thm)],[1730])).
% cnf(1732,plain,(c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)),inference(split_conjunct,[status(thm)],[1731])).
% fof(1777, plain,![X7]:![X10]:(~(class_Rings_Ocomm__semiring__1(X10))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X10),X7),c_Groups_Oone__class_Oone(X10))=X7),inference(fof_nnf,[status(thm)],[204])).
% fof(1778, plain,![X11]:![X12]:(~(class_Rings_Ocomm__semiring__1(X12))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X12),X11),c_Groups_Oone__class_Oone(X12))=X11),inference(variable_rename,[status(thm)],[1777])).
% cnf(1779,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oone__class_Oone(X1))=X2|~class_Rings_Ocomm__semiring__1(X1)),inference(split_conjunct,[status(thm)],[1778])).
% fof(1914, plain,![X44]:![X43]:![X10]:(~(class_Groups_Oordered__ab__group__add(X10))|((~(c_Orderings_Oord__class_Oless__eq(X10,X43,X44))|c_Orderings_Oord__class_Oless__eq(X10,c_Groups_Ominus__class_Ominus(X10,X43,X44),c_Groups_Ozero__class_Ozero(X10)))&(~(c_Orderings_Oord__class_Oless__eq(X10,c_Groups_Ominus__class_Ominus(X10,X43,X44),c_Groups_Ozero__class_Ozero(X10)))|c_Orderings_Oord__class_Oless__eq(X10,X43,X44)))),inference(fof_nnf,[status(thm)],[243])).
% fof(1915, plain,![X45]:![X46]:![X47]:(~(class_Groups_Oordered__ab__group__add(X47))|((~(c_Orderings_Oord__class_Oless__eq(X47,X46,X45))|c_Orderings_Oord__class_Oless__eq(X47,c_Groups_Ominus__class_Ominus(X47,X46,X45),c_Groups_Ozero__class_Ozero(X47)))&(~(c_Orderings_Oord__class_Oless__eq(X47,c_Groups_Ominus__class_Ominus(X47,X46,X45),c_Groups_Ozero__class_Ozero(X47)))|c_Orderings_Oord__class_Oless__eq(X47,X46,X45)))),inference(variable_rename,[status(thm)],[1914])).
% fof(1916, plain,![X45]:![X46]:![X47]:(((~(c_Orderings_Oord__class_Oless__eq(X47,X46,X45))|c_Orderings_Oord__class_Oless__eq(X47,c_Groups_Ominus__class_Ominus(X47,X46,X45),c_Groups_Ozero__class_Ozero(X47)))|~(class_Groups_Oordered__ab__group__add(X47)))&((~(c_Orderings_Oord__class_Oless__eq(X47,c_Groups_Ominus__class_Ominus(X47,X46,X45),c_Groups_Ozero__class_Ozero(X47)))|c_Orderings_Oord__class_Oless__eq(X47,X46,X45))|~(class_Groups_Oordered__ab__group__add(X47)))),inference(distribute,[status(thm)],[1915])).
% cnf(1917,plain,(c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))),inference(split_conjunct,[status(thm)],[1916])).
% fof(2062, plain,![X18]:c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X18),inference(variable_rename,[status(thm)],[287])).
% cnf(2063,plain,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)),inference(split_conjunct,[status(thm)],[2062])).
% fof(2066, plain,![X22]:![X21]:((X21=X22|(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X21,X22)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X22,X21)))&((~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X21,X22))&~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X22,X21)))|~(X21=X22))),inference(fof_nnf,[status(thm)],[289])).
% fof(2067, plain,![X23]:![X24]:((X24=X23|(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X24,X23)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X23,X24)))&((~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X24,X23))&~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X23,X24)))|~(X24=X23))),inference(variable_rename,[status(thm)],[2066])).
% fof(2068, plain,![X23]:![X24]:((X24=X23|(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X24,X23)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X23,X24)))&((~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X24,X23))|~(X24=X23))&(~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X23,X24))|~(X24=X23)))),inference(distribute,[status(thm)],[2067])).
% cnf(2071,plain,(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)|X2=X1),inference(split_conjunct,[status(thm)],[2068])).
% fof(2133, plain,![X6]:(~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X6))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X6)),X6)),inference(fof_nnf,[status(thm)],[309])).
% fof(2134, plain,![X7]:(~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X7))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X7)),X7)),inference(variable_rename,[status(thm)],[2133])).
% cnf(2135,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X1)),X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)),inference(split_conjunct,[status(thm)],[2134])).
% fof(2192, plain,![X17]:![X18]:(~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X18,X17))|(~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17,X18))|X18=X17)),inference(fof_nnf,[status(thm)],[328])).
% fof(2193, plain,![X19]:![X20]:(~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X20,X19))|(~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X19,X20))|X20=X19)),inference(variable_rename,[status(thm)],[2192])).
% cnf(2194,plain,(X1=X2|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)),inference(split_conjunct,[status(thm)],[2193])).
% fof(2391, plain,![X13]:![X11]:![X10]:(~(class_Orderings_Opreorder(X10))|((~(c_Orderings_Oord__class_Oless(X10,X11,X13))|(c_Orderings_Oord__class_Oless__eq(X10,X11,X13)&~(c_Orderings_Oord__class_Oless__eq(X10,X13,X11))))&((~(c_Orderings_Oord__class_Oless__eq(X10,X11,X13))|c_Orderings_Oord__class_Oless__eq(X10,X13,X11))|c_Orderings_Oord__class_Oless(X10,X11,X13)))),inference(fof_nnf,[status(thm)],[1290])).
% fof(2392, plain,![X14]:![X15]:![X16]:(~(class_Orderings_Opreorder(X16))|((~(c_Orderings_Oord__class_Oless(X16,X15,X14))|(c_Orderings_Oord__class_Oless__eq(X16,X15,X14)&~(c_Orderings_Oord__class_Oless__eq(X16,X14,X15))))&((~(c_Orderings_Oord__class_Oless__eq(X16,X15,X14))|c_Orderings_Oord__class_Oless__eq(X16,X14,X15))|c_Orderings_Oord__class_Oless(X16,X15,X14)))),inference(variable_rename,[status(thm)],[2391])).
% fof(2393, plain,![X14]:![X15]:![X16]:((((c_Orderings_Oord__class_Oless__eq(X16,X15,X14)|~(c_Orderings_Oord__class_Oless(X16,X15,X14)))|~(class_Orderings_Opreorder(X16)))&((~(c_Orderings_Oord__class_Oless__eq(X16,X14,X15))|~(c_Orderings_Oord__class_Oless(X16,X15,X14)))|~(class_Orderings_Opreorder(X16))))&(((~(c_Orderings_Oord__class_Oless__eq(X16,X15,X14))|c_Orderings_Oord__class_Oless__eq(X16,X14,X15))|c_Orderings_Oord__class_Oless(X16,X15,X14))|~(class_Orderings_Opreorder(X16)))),inference(distribute,[status(thm)],[2392])).
% cnf(2395,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)],[2393])).
% fof(2617, plain,![X20]:![X7]:![X10]:(~(class_Rings_Ocomm__semiring__1(X10))|c_Groups_Oplus__class_Oplus(X10,X7,X20)=c_Groups_Oplus__class_Oplus(X10,X20,X7)),inference(fof_nnf,[status(thm)],[451])).
% fof(2618, plain,![X21]:![X22]:![X23]:(~(class_Rings_Ocomm__semiring__1(X23))|c_Groups_Oplus__class_Oplus(X23,X22,X21)=c_Groups_Oplus__class_Oplus(X23,X21,X22)),inference(variable_rename,[status(thm)],[2617])).
% cnf(2619,plain,(c_Groups_Oplus__class_Oplus(X1,X2,X3)=c_Groups_Oplus__class_Oplus(X1,X3,X2)|~class_Rings_Ocomm__semiring__1(X1)),inference(split_conjunct,[status(thm)],[2618])).
% fof(2711, plain,![X18]:c_Nat_OSuc(X18)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,c_Groups_Oone__class_Oone(tc_Nat_Onat)),inference(variable_rename,[status(thm)],[479])).
% cnf(2712,plain,(c_Nat_OSuc(X1)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),inference(split_conjunct,[status(thm)],[2711])).
% cnf(2751,plain,(class_Orderings_Opreorder(tc_Nat_Onat)),inference(split_conjunct,[status(thm)],[509])).
% fof(3289, plain,![X8]:![X7]:![X10]:(~(class_Groups_Ogroup__add(X10))|c_Groups_Oplus__class_Oplus(X10,c_Groups_Ominus__class_Ominus(X10,X7,X8),X8)=X7),inference(fof_nnf,[status(thm)],[673])).
% fof(3290, plain,![X11]:![X12]:![X13]:(~(class_Groups_Ogroup__add(X13))|c_Groups_Oplus__class_Oplus(X13,c_Groups_Ominus__class_Ominus(X13,X12,X11),X11)=X12),inference(variable_rename,[status(thm)],[3289])).
% cnf(3291,plain,(c_Groups_Oplus__class_Oplus(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X3)=X2|~class_Groups_Ogroup__add(X1)),inference(split_conjunct,[status(thm)],[3290])).
% fof(3403, plain,![X18]:c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,X18))=X18,inference(variable_rename,[status(thm)],[705])).
% cnf(3404,plain,(c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,X1))=X1),inference(split_conjunct,[status(thm)],[3403])).
% fof(3565, plain,![X7]:![X10]:(~(class_Groups_Oordered__ab__group__add__abs(X10))|c_Orderings_Oord__class_Oless__eq(X10,c_Groups_Ozero__class_Ozero(X10),c_Groups_Oabs__class_Oabs(X10,X7))),inference(fof_nnf,[status(thm)],[780])).
% fof(3566, plain,![X11]:![X12]:(~(class_Groups_Oordered__ab__group__add__abs(X12))|c_Orderings_Oord__class_Oless__eq(X12,c_Groups_Ozero__class_Ozero(X12),c_Groups_Oabs__class_Oabs(X12,X11))),inference(variable_rename,[status(thm)],[3565])).
% cnf(3567,plain,(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oabs__class_Oabs(X1,X2))|~class_Groups_Oordered__ab__group__add__abs(X1)),inference(split_conjunct,[status(thm)],[3566])).
% fof(3666, plain,![X43]:![X10]:(~(class_Groups_Olinordered__ab__group__add(X10))|((~(c_Orderings_Oord__class_Oless__eq(X10,c_Groups_Ouminus__class_Ouminus(X10,X43),X43))|c_Orderings_Oord__class_Oless__eq(X10,c_Groups_Ozero__class_Ozero(X10),X43))&(~(c_Orderings_Oord__class_Oless__eq(X10,c_Groups_Ozero__class_Ozero(X10),X43))|c_Orderings_Oord__class_Oless__eq(X10,c_Groups_Ouminus__class_Ouminus(X10,X43),X43)))),inference(fof_nnf,[status(thm)],[807])).
% fof(3667, plain,![X44]:![X45]:(~(class_Groups_Olinordered__ab__group__add(X45))|((~(c_Orderings_Oord__class_Oless__eq(X45,c_Groups_Ouminus__class_Ouminus(X45,X44),X44))|c_Orderings_Oord__class_Oless__eq(X45,c_Groups_Ozero__class_Ozero(X45),X44))&(~(c_Orderings_Oord__class_Oless__eq(X45,c_Groups_Ozero__class_Ozero(X45),X44))|c_Orderings_Oord__class_Oless__eq(X45,c_Groups_Ouminus__class_Ouminus(X45,X44),X44)))),inference(variable_rename,[status(thm)],[3666])).
% fof(3668, plain,![X44]:![X45]:(((~(c_Orderings_Oord__class_Oless__eq(X45,c_Groups_Ouminus__class_Ouminus(X45,X44),X44))|c_Orderings_Oord__class_Oless__eq(X45,c_Groups_Ozero__class_Ozero(X45),X44))|~(class_Groups_Olinordered__ab__group__add(X45)))&((~(c_Orderings_Oord__class_Oless__eq(X45,c_Groups_Ozero__class_Ozero(X45),X44))|c_Orderings_Oord__class_Oless__eq(X45,c_Groups_Ouminus__class_Ouminus(X45,X44),X44))|~(class_Groups_Olinordered__ab__group__add(X45)))),inference(distribute,[status(thm)],[3667])).
% cnf(3670,plain,(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Groups_Olinordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)),inference(split_conjunct,[status(thm)],[3668])).
% fof(3749, plain,![X18]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X18)=X18,inference(variable_rename,[status(thm)],[825])).
% cnf(3750,plain,(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)=X1),inference(split_conjunct,[status(thm)],[3749])).
% fof(3918, plain,![X7]:![X18]:![X10]:(~(class_Rings_Ocomm__semiring__1(X10))|c_Groups_Oplus__class_Oplus(X10,X18,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X10),X7),X18))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X10),c_Groups_Oplus__class_Oplus(X10,X7,c_Groups_Oone__class_Oone(X10))),X18)),inference(fof_nnf,[status(thm)],[878])).
% fof(3919, plain,![X19]:![X20]:![X21]:(~(class_Rings_Ocomm__semiring__1(X21))|c_Groups_Oplus__class_Oplus(X21,X20,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X21),X19),X20))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X21),c_Groups_Oplus__class_Oplus(X21,X19,c_Groups_Oone__class_Oone(X21))),X20)),inference(variable_rename,[status(thm)],[3918])).
% cnf(3920,plain,(c_Groups_Oplus__class_Oplus(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oplus__class_Oplus(X1,X3,c_Groups_Oone__class_Oone(X1))),X2)|~class_Rings_Ocomm__semiring__1(X1)),inference(split_conjunct,[status(thm)],[3919])).
% fof(3958, plain,![X19]:![X20]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X20,X19)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X19,X20),inference(variable_rename,[status(thm)],[890])).
% cnf(3959,plain,(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)),inference(split_conjunct,[status(thm)],[3958])).
% fof(4212, plain,![X10]:(~(class_Groups_Ogroup__add(X10))|c_Groups_Ouminus__class_Ouminus(X10,c_Groups_Ozero__class_Ozero(X10))=c_Groups_Ozero__class_Ozero(X10)),inference(fof_nnf,[status(thm)],[981])).
% fof(4213, plain,![X11]:(~(class_Groups_Ogroup__add(X11))|c_Groups_Ouminus__class_Ouminus(X11,c_Groups_Ozero__class_Ozero(X11))=c_Groups_Ozero__class_Ozero(X11)),inference(variable_rename,[status(thm)],[4212])).
% cnf(4214,plain,(c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1)),inference(split_conjunct,[status(thm)],[4213])).
% fof(4247, plain,![X8]:![X7]:![X10]:(~(class_Groups_Oab__group__add(X10))|c_Groups_Ouminus__class_Ouminus(X10,c_Groups_Ominus__class_Ominus(X10,X7,X8))=c_Groups_Ominus__class_Ominus(X10,X8,X7)),inference(fof_nnf,[status(thm)],[990])).
% fof(4248, plain,![X11]:![X12]:![X13]:(~(class_Groups_Oab__group__add(X13))|c_Groups_Ouminus__class_Ouminus(X13,c_Groups_Ominus__class_Ominus(X13,X12,X11))=c_Groups_Ominus__class_Ominus(X13,X11,X12)),inference(variable_rename,[status(thm)],[4247])).
% cnf(4249,plain,(c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3))=c_Groups_Ominus__class_Ominus(X1,X3,X2)|~class_Groups_Oab__group__add(X1)),inference(split_conjunct,[status(thm)],[4248])).
% fof(4415, plain,![X19]:~(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Nat_OSuc(X19)),inference(variable_rename,[status(thm)],[1039])).
% cnf(4416,plain,(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=c_Nat_OSuc(X1)),inference(split_conjunct,[status(thm)],[4415])).
% fof(4475, plain,![X43]:![X44]:![X10]:(~(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X10))|((~(X44=c_Groups_Oplus__class_Oplus(X10,X44,X43))|X43=c_Groups_Ozero__class_Ozero(X10))&(~(X43=c_Groups_Ozero__class_Ozero(X10))|X44=c_Groups_Oplus__class_Oplus(X10,X44,X43)))),inference(fof_nnf,[status(thm)],[1058])).
% fof(4476, plain,![X45]:![X46]:![X47]:(~(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X47))|((~(X46=c_Groups_Oplus__class_Oplus(X47,X46,X45))|X45=c_Groups_Ozero__class_Ozero(X47))&(~(X45=c_Groups_Ozero__class_Ozero(X47))|X46=c_Groups_Oplus__class_Oplus(X47,X46,X45)))),inference(variable_rename,[status(thm)],[4475])).
% fof(4477, plain,![X45]:![X46]:![X47]:(((~(X46=c_Groups_Oplus__class_Oplus(X47,X46,X45))|X45=c_Groups_Ozero__class_Ozero(X47))|~(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X47)))&((~(X45=c_Groups_Ozero__class_Ozero(X47))|X46=c_Groups_Oplus__class_Oplus(X47,X46,X45))|~(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X47)))),inference(distribute,[status(thm)],[4476])).
% cnf(4479,plain,(X2=c_Groups_Ozero__class_Ozero(X1)|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)|X3!=c_Groups_Oplus__class_Oplus(X1,X3,X2)),inference(split_conjunct,[status(thm)],[4477])).
% fof(5092, plain,![X22]:((~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X22,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|X22=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&(~(X22=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X22,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),inference(fof_nnf,[status(thm)],[1235])).
% fof(5093, plain,![X23]:((~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X23,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|X23=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&(~(X23=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X23,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),inference(variable_rename,[status(thm)],[5092])).
% cnf(5095,plain,(X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),inference(split_conjunct,[status(thm)],[5093])).
% cnf(5245,negated_conjecture,(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(split_conjunct,[status(thm)],[1342])).
% cnf(5279,plain,(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),inference(rw,[status(thm)],[5095,2712,theory(equality)]),['unfolding']).
% cnf(5382,plain,(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),inference(rw,[status(thm)],[4416,2712,theory(equality)]),['unfolding']).
% cnf(5432,negated_conjecture,(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(spm,[status(thm)],[5245,1392,theory(equality)])).
% cnf(5517,plain,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),inference(spm,[status(thm)],[1375,3404,theory(equality)])).
% cnf(5542,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X2)),inference(spm,[status(thm)],[1349,1392,theory(equality)])).
% cnf(5717,plain,(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),inference(spm,[status(thm)],[4214,1554,theory(equality)])).
% cnf(6076,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)],[1390,1346,theory(equality)])).
% cnf(6110,plain,(c_RComplete_Onatfloor(X1)=c_RComplete_Onatfloor(X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X1),c_RComplete_Onatfloor(X2))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)),inference(spm,[status(thm)],[2194,1492,theory(equality)])).
% cnf(6263,plain,(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),inference(spm,[status(thm)],[5382,3959,theory(equality)])).
% cnf(6314,plain,(c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X1))=X1|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X1)),X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)),inference(spm,[status(thm)],[1390,2135,theory(equality)])).
% cnf(6739,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1))),inference(spm,[status(thm)],[3567,1519,theory(equality)])).
% cnf(7406,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=X1),inference(spm,[status(thm)],[1779,1501,theory(equality)])).
% cnf(7463,plain,(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),inference(rw,[status(thm)],[5279,3750,theory(equality)])).
% cnf(8484,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2)=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X1)),inference(spm,[status(thm)],[2619,1501,theory(equality)])).
% cnf(8488,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2),X2)=X1),inference(spm,[status(thm)],[3291,1554,theory(equality)])).
% cnf(8699,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))|~class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal)),inference(spm,[status(thm)],[3670,1354,theory(equality)])).
% cnf(8731,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))|$false),inference(rw,[status(thm)],[8699,1522,theory(equality)])).
% cnf(8732,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))),inference(cn,[status(thm)],[8731,theory(equality)])).
% cnf(8932,plain,(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|c_Groups_Oone__class_Oone(tc_Nat_Onat)=X1|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)),inference(spm,[status(thm)],[7463,2071,theory(equality)])).
% cnf(10607,plain,(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(X1))=c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)),inference(rw,[status(thm)],[1732,3959,theory(equality)])).
% cnf(13435,plain,(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2))=c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1)),inference(spm,[status(thm)],[4249,1545,theory(equality)])).
% cnf(104932,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)|~class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)),inference(spm,[status(thm)],[3920,7406,theory(equality)])).
% cnf(105201,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)|~class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)),inference(rw,[status(thm)],[104932,7406,theory(equality)])).
% cnf(105202,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)|$false),inference(rw,[status(thm)],[105201,1501,theory(equality)])).
% cnf(105203,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),inference(cn,[status(thm)],[105202,theory(equality)])).
% cnf(116590,negated_conjecture,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),inference(spm,[status(thm)],[5245,6076,theory(equality)])).
% cnf(116840,negated_conjecture,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(spm,[status(thm)],[5542,116590,theory(equality)])).
% cnf(117351,negated_conjecture,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(spm,[status(thm)],[116840,2135,theory(equality)])).
% cnf(117396,negated_conjecture,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|$false),inference(rw,[status(thm)],[117351,8732,theory(equality)])).
% cnf(117397,negated_conjecture,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),inference(cn,[status(thm)],[117396,theory(equality)])).
% cnf(118758,negated_conjecture,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),c_Groups_Oone__class_Oone(tc_Nat_Onat))|c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(spm,[status(thm)],[5517,117397,theory(equality)])).
% cnf(118793,negated_conjecture,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|~class_Orderings_Opreorder(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)))),inference(spm,[status(thm)],[2395,118758,theory(equality)])).
% cnf(118814,negated_conjecture,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|$false|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)))),inference(rw,[status(thm)],[118793,2751,theory(equality)])).
% cnf(118815,negated_conjecture,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)))),inference(cn,[status(thm)],[118814,theory(equality)])).
% cnf(139719,plain,(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=X1|c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal)),inference(spm,[status(thm)],[4479,105203,theory(equality)])).
% cnf(140106,plain,(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=X1|c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|$false),inference(rw,[status(thm)],[139719,1510,theory(equality)])).
% cnf(140107,plain,(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=X1|c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(cn,[status(thm)],[140106,theory(equality)])).
% cnf(190350,plain,(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|X1!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(spm,[status(thm)],[140107,8488,theory(equality)])).
% cnf(190671,plain,(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)|X1!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(spm,[status(thm)],[13435,190350,theory(equality)])).
% cnf(190808,plain,(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)|X1!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(rw,[status(thm)],[190671,5717,theory(equality)])).
% cnf(193909,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)|~class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|X1!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(spm,[status(thm)],[1917,190808,theory(equality)])).
% cnf(194002,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)|$false|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|X1!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(rw,[status(thm)],[193909,1531,theory(equality)])).
% cnf(194003,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)|$false|$false|X1!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(rw,[status(thm)],[194002,1344,theory(equality)])).
% cnf(194004,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)|X1!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(cn,[status(thm)],[194003,theory(equality)])).
% cnf(194182,negated_conjecture,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(spm,[status(thm)],[5245,194004,theory(equality)])).
% cnf(266793,negated_conjecture,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_RComplete_Onatfloor(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_RComplete_Onatfloor(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(spm,[status(thm)],[118815,8932,theory(equality)])).
% cnf(266817,negated_conjecture,(c_RComplete_Onatfloor(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))=c_Groups_Oone__class_Oone(tc_Nat_Onat)|c_RComplete_Onatfloor(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),inference(sr,[status(thm)],[266793,194182,theory(equality)])).
% cnf(266820,negated_conjecture,(c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))|c_RComplete_Onatfloor(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(spm,[status(thm)],[6314,266817,theory(equality)])).
% cnf(266872,negated_conjecture,(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))|c_RComplete_Onatfloor(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(rw,[status(thm)],[266820,1608,theory(equality)])).
% cnf(266873,negated_conjecture,(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))|c_RComplete_Onatfloor(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(rw,[status(thm)],[266872,1608,theory(equality)])).
% cnf(266874,negated_conjecture,(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))|c_RComplete_Onatfloor(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|$false),inference(rw,[status(thm)],[266873,8732,theory(equality)])).
% cnf(266875,negated_conjecture,(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))|c_RComplete_Onatfloor(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),inference(cn,[status(thm)],[266874,theory(equality)])).
% cnf(266876,negated_conjecture,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))|c_RComplete_Onatfloor(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),inference(sr,[status(thm)],[266875,194182,theory(equality)])).
% cnf(266877,negated_conjecture,(c_RComplete_Onatfloor(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),inference(sr,[status(thm)],[266876,5432,theory(equality)])).
% cnf(266952,negated_conjecture,(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_RComplete_Onatfloor(X1)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatfloor(X1))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(spm,[status(thm)],[6110,266877,theory(equality)])).
% cnf(267021,negated_conjecture,(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_RComplete_Onatfloor(X1)|$false|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(rw,[status(thm)],[266952,2063,theory(equality)])).
% cnf(267022,negated_conjecture,(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_RComplete_Onatfloor(X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(cn,[status(thm)],[267021,theory(equality)])).
% cnf(268129,negated_conjecture,(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(X1))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(spm,[status(thm)],[10607,267022,theory(equality)])).
% cnf(268178,negated_conjecture,(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(sr,[status(thm)],[268129,6263,theory(equality)])).
% cnf(276276,negated_conjecture,(~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),X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)),inference(spm,[status(thm)],[268178,8484,theory(equality)])).
% cnf(278259,negated_conjecture,(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____))),inference(spm,[status(thm)],[276276,1363,theory(equality)])).
% cnf(278279,negated_conjecture,($false),inference(rw,[status(thm)],[278259,6739,theory(equality)])).
% cnf(278280,negated_conjecture,($false),inference(cn,[status(thm)],[278279,theory(equality)])).
% cnf(278281,negated_conjecture,($false),278280,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 21874
% # ...of these trivial : 954
% # ...subsumed : 16023
% # ...remaining for further processing: 4897
% # Other redundant clauses eliminated : 274
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 96
% # Backward-rewritten : 315
% # Generated clauses : 135451
% # ...of the previous two non-trivial : 116229
% # Contextual simplify-reflections : 1149
% # Paramodulations : 135051
% # Factorizations : 14
% # Equation resolutions : 348
% # Current number of processed clauses: 4410
% # Positive orientable unit clauses: 1136
% # Positive unorientable unit clauses: 13
% # Negative unit clauses : 816
% # Non-unit-clauses : 2445
% # Current number of unprocessed clauses: 86882
% # ...number of literals in the above : 236648
% # Clause-clause subsumption calls (NU) : 90755
% # Rec. Clause-clause subsumption calls : 80293
% # Unit Clause-clause subsumption calls : 19033
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 34469
% # Indexed BW rewrite successes : 552
% # Backwards rewriting index: 1637 leaves, 2.76+/-7.540 terms/leaf
% # Paramod-from index: 782 leaves, 2.41+/-6.504 terms/leaf
% # Paramod-into index: 1524 leaves, 2.60+/-7.231 terms/leaf
% # -------------------------------------------------
% # User time : 7.406 s
% # System time : 0.274 s
% # Total time : 7.680 s
% # Maximum resident set size: 0 pages
% PrfWatch: 11.33 CPU 11.48 WC
% FINAL PrfWatch: 11.33 CPU 11.48 WC
% SZS output end Solution for /tmp/SystemOnTPTP28828/SWW234+1.tptp
%
%------------------------------------------------------------------------------