TSTP Solution File: SWW174+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWW174+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 : art01.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 00:26:33 EST 2011
% Result : Theorem 190.18s
% Output : Solution 190.18s
% 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/SystemOnTPTP29241/SWW174+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% WARNING: TreeLimitedRun lost 0.70s, total lost is 0.70s
% found
% SZS status THM for /tmp/SystemOnTPTP29241/SWW174+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP29241/SWW174+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 29443
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.95 CPU 2.02 WC
% PrfWatch: 3.94 CPU 4.03 WC
% PrfWatch: 5.92 CPU 6.04 WC
% PrfWatch: 7.90 CPU 8.04 WC
% PrfWatch: 9.89 CPU 10.05 WC
% PrfWatch: 11.87 CPU 12.06 WC
% PrfWatch: 13.86 CPU 14.06 WC
% PrfWatch: 15.85 CPU 16.07 WC
% PrfWatch: 17.83 CPU 18.08 WC
% PrfWatch: 19.82 CPU 20.09 WC
% PrfWatch: 21.80 CPU 22.09 WC
% PrfWatch: 23.79 CPU 24.10 WC
% PrfWatch: 25.78 CPU 26.11 WC
% PrfWatch: 27.66 CPU 28.14 WC
% PrfWatch: 29.26 CPU 30.15 WC
% PrfWatch: 31.25 CPU 32.16 WC
% PrfWatch: 33.24 CPU 34.17 WC
% # Preprocessing time : 0.217 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 35.19 CPU 36.17 WC
% PrfWatch: 37.18 CPU 38.18 WC
% PrfWatch: 39.17 CPU 40.19 WC
% PrfWatch: 41.16 CPU 42.19 WC
% PrfWatch: 43.16 CPU 44.20 WC
% PrfWatch: 45.15 CPU 46.21 WC
% PrfWatch: 47.14 CPU 48.21 WC
% PrfWatch: 49.13 CPU 50.22 WC
% PrfWatch: 51.12 CPU 52.23 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,X1))=c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X2),X1),file('/tmp/SRASS.s.p', fact_real__sqrt__power)).
% fof(13, axiom,![X2]:c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2),file('/tmp/SRASS.s.p', fact_real__sqrt__abs)).
% fof(52, axiom,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))=c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),file('/tmp/SRASS.s.p', fact_numeral__2__eq__2)).
% fof(93, axiom,![X14]:![X15]:(class_Int_Onumber__ring(X15)=>c_Groups_Otimes__class_Otimes(X15,X14,c_Int_Onumber__class_Onumber__of(X15,c_Int_OBit1(c_Int_OPls)))=X14),file('/tmp/SRASS.s.p', fact_mult__numeral__1__right)).
% fof(118, axiom,![X18]:![X15]:(class_Int_Onumber__ring(X15)=>c_Groups_Otimes__class_Otimes(X15,X18,c_Int_Onumber__class_Onumber__of(X15,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=c_Groups_Oplus__class_Oplus(X15,X18,X18)),file('/tmp/SRASS.s.p', fact_mult__2__right)).
% fof(144, axiom,![X2]:c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X2))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2),file('/tmp/SRASS.s.p', fact_real__sqrt__abs2)).
% fof(225, axiom,![X16]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X16)=X16,file('/tmp/SRASS.s.p', fact_plus__nat_Oadd__0)).
% fof(274, axiom,![X22]:![X15]:(class_Int_Onumber__ring(X15)=>c_Groups_Oplus__class_Oplus(X15,c_Groups_Oone__class_Oone(X15),c_Int_Onumber__class_Onumber__of(X15,X22))=c_Int_Onumber__class_Onumber__of(X15,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X22))),file('/tmp/SRASS.s.p', fact_add__special_I2_J)).
% fof(275, axiom,![X22]:![X15]:(class_Int_Onumber__ring(X15)=>c_Int_Onumber__class_Onumber__of(X15,c_Int_OBit1(X22))=c_Groups_Oplus__class_Oplus(X15,c_Groups_Oplus__class_Oplus(X15,c_Groups_Oone__class_Oone(X15),c_Int_Onumber__class_Onumber__of(X15,X22)),c_Int_Onumber__class_Onumber__of(X15,X22))),file('/tmp/SRASS.s.p', fact_number__of__Bit1)).
% fof(288, 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(306, axiom,class_Rings_Olinordered__idom(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Rings_Olinordered__idom)).
% fof(321, axiom,class_Int_Onumber__ring(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Int_Onumber__ring)).
% fof(426, axiom,![X1]:c_Int_OBit1(X1)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),file('/tmp/SRASS.s.p', fact_Bit1__def)).
% fof(433, axiom,![X22]:![X39]:![X15]:(class_Int_Onumber__ring(X15)=>c_Groups_Oplus__class_Oplus(X15,c_Int_Onumber__class_Onumber__of(X15,X39),c_Int_Onumber__class_Onumber__of(X15,X22))=c_Int_Onumber__class_Onumber__of(X15,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X39,X22))),file('/tmp/SRASS.s.p', fact_add__number__of__eq)).
% fof(513, axiom,![X18]:c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X18)=X18,file('/tmp/SRASS.s.p', fact_real__mult__1)).
% fof(529, axiom,![X16]:c_Nat_OSuc(X16)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X16,c_Groups_Oone__class_Oone(tc_Nat_Onat)),file('/tmp/SRASS.s.p', fact_Suc__eq__plus1)).
% fof(570, axiom,![X15]:(class_Rings_Olinordered__idom(X15)=>c_Groups_Oabs__class_Oabs(X15,c_Groups_Oone__class_Oone(X15))=c_Groups_Oone__class_Oone(X15)),file('/tmp/SRASS.s.p', fact_abs__one)).
% fof(581, axiom,![X1]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Int_OPls)=X1,file('/tmp/SRASS.s.p', fact_add__Pls__right)).
% fof(582, axiom,![X1]:c_Int_OBit0(X1)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),file('/tmp/SRASS.s.p', fact_Bit0__def)).
% fof(676, axiom,![X2]: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,X2))),file('/tmp/SRASS.s.p', fact_abs__add__one__gt__zero)).
% fof(819, axiom,![X22]:![X18]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,X18,X22)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X22,X18),file('/tmp/SRASS.s.p', fact_zadd__commute)).
% fof(820, axiom,![X18]:![X8]:![X2]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X8,X18))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X8,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X18)),file('/tmp/SRASS.s.p', fact_zadd__left__commute)).
% fof(1065, axiom,![X14]:![X15]:(class_Groups_Oordered__ab__group__add__abs(X15)=>(c_Orderings_Oord__class_Oless(X15,c_Groups_Ozero__class_Ozero(X15),X14)=>c_Groups_Oabs__class_Oabs(X15,X14)=X14)),file('/tmp/SRASS.s.p', fact_abs__of__pos)).
% fof(1200, conjecture,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))=c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),file('/tmp/SRASS.s.p', conj_0)).
% fof(1201, negated_conjecture,~(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))=c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(assume_negation,[status(cth)],[1200])).
% fof(1270, negated_conjecture,~(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))=c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(fof_simplification,[status(thm)],[1201,theory(equality)])).
% fof(1271, plain,![X3]:![X4]:c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X4,X3))=c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X4),X3),inference(variable_rename,[status(thm)],[1])).
% cnf(1272,plain,(c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,X2))=c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),X2)),inference(split_conjunct,[status(thm)],[1271])).
% fof(1304, plain,![X3]:c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X3,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X3),inference(variable_rename,[status(thm)],[13])).
% cnf(1305,plain,(c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),inference(split_conjunct,[status(thm)],[1304])).
% cnf(1398,plain,(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))=c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),inference(split_conjunct,[status(thm)],[52])).
% fof(1510, plain,![X14]:![X15]:(~(class_Int_Onumber__ring(X15))|c_Groups_Otimes__class_Otimes(X15,X14,c_Int_Onumber__class_Onumber__of(X15,c_Int_OBit1(c_Int_OPls)))=X14),inference(fof_nnf,[status(thm)],[93])).
% fof(1511, plain,![X16]:![X17]:(~(class_Int_Onumber__ring(X17))|c_Groups_Otimes__class_Otimes(X17,X16,c_Int_Onumber__class_Onumber__of(X17,c_Int_OBit1(c_Int_OPls)))=X16),inference(variable_rename,[status(thm)],[1510])).
% cnf(1512,plain,(c_Groups_Otimes__class_Otimes(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit1(c_Int_OPls)))=X2|~class_Int_Onumber__ring(X1)),inference(split_conjunct,[status(thm)],[1511])).
% fof(1587, plain,![X18]:![X15]:(~(class_Int_Onumber__ring(X15))|c_Groups_Otimes__class_Otimes(X15,X18,c_Int_Onumber__class_Onumber__of(X15,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=c_Groups_Oplus__class_Oplus(X15,X18,X18)),inference(fof_nnf,[status(thm)],[118])).
% fof(1588, plain,![X19]:![X20]:(~(class_Int_Onumber__ring(X20))|c_Groups_Otimes__class_Otimes(X20,X19,c_Int_Onumber__class_Onumber__of(X20,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=c_Groups_Oplus__class_Oplus(X20,X19,X19)),inference(variable_rename,[status(thm)],[1587])).
% cnf(1589,plain,(c_Groups_Otimes__class_Otimes(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=c_Groups_Oplus__class_Oplus(X1,X2,X2)|~class_Int_Onumber__ring(X1)),inference(split_conjunct,[status(thm)],[1588])).
% fof(1668, plain,![X3]:c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X3,X3))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X3),inference(variable_rename,[status(thm)],[144])).
% cnf(1669,plain,(c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X1))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),inference(split_conjunct,[status(thm)],[1668])).
% fof(1918, plain,![X17]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X17)=X17,inference(variable_rename,[status(thm)],[225])).
% cnf(1919,plain,(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)=X1),inference(split_conjunct,[status(thm)],[1918])).
% fof(2041, plain,![X22]:![X15]:(~(class_Int_Onumber__ring(X15))|c_Groups_Oplus__class_Oplus(X15,c_Groups_Oone__class_Oone(X15),c_Int_Onumber__class_Onumber__of(X15,X22))=c_Int_Onumber__class_Onumber__of(X15,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X22))),inference(fof_nnf,[status(thm)],[274])).
% fof(2042, plain,![X23]:![X24]:(~(class_Int_Onumber__ring(X24))|c_Groups_Oplus__class_Oplus(X24,c_Groups_Oone__class_Oone(X24),c_Int_Onumber__class_Onumber__of(X24,X23))=c_Int_Onumber__class_Onumber__of(X24,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X23))),inference(variable_rename,[status(thm)],[2041])).
% cnf(2043,plain,(c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X2))=c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X2))|~class_Int_Onumber__ring(X1)),inference(split_conjunct,[status(thm)],[2042])).
% fof(2044, plain,![X22]:![X15]:(~(class_Int_Onumber__ring(X15))|c_Int_Onumber__class_Onumber__of(X15,c_Int_OBit1(X22))=c_Groups_Oplus__class_Oplus(X15,c_Groups_Oplus__class_Oplus(X15,c_Groups_Oone__class_Oone(X15),c_Int_Onumber__class_Onumber__of(X15,X22)),c_Int_Onumber__class_Onumber__of(X15,X22))),inference(fof_nnf,[status(thm)],[275])).
% fof(2045, plain,![X23]:![X24]:(~(class_Int_Onumber__ring(X24))|c_Int_Onumber__class_Onumber__of(X24,c_Int_OBit1(X23))=c_Groups_Oplus__class_Oplus(X24,c_Groups_Oplus__class_Oplus(X24,c_Groups_Oone__class_Oone(X24),c_Int_Onumber__class_Onumber__of(X24,X23)),c_Int_Onumber__class_Onumber__of(X24,X23))),inference(variable_rename,[status(thm)],[2044])).
% cnf(2046,plain,(c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit1(X2))=c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X2)),c_Int_Onumber__class_Onumber__of(X1,X2))|~class_Int_Onumber__ring(X1)),inference(split_conjunct,[status(thm)],[2045])).
% cnf(2072,plain,(class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[288])).
% cnf(2090,plain,(class_Rings_Olinordered__idom(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[306])).
% cnf(2105,plain,(class_Int_Onumber__ring(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[321])).
% fof(2342, plain,![X2]:c_Int_OBit1(X2)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2),inference(variable_rename,[status(thm)],[426])).
% cnf(2343,plain,(c_Int_OBit1(X1)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1)),inference(split_conjunct,[status(thm)],[2342])).
% fof(2362, plain,![X22]:![X39]:![X15]:(~(class_Int_Onumber__ring(X15))|c_Groups_Oplus__class_Oplus(X15,c_Int_Onumber__class_Onumber__of(X15,X39),c_Int_Onumber__class_Onumber__of(X15,X22))=c_Int_Onumber__class_Onumber__of(X15,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X39,X22))),inference(fof_nnf,[status(thm)],[433])).
% fof(2363, plain,![X40]:![X41]:![X42]:(~(class_Int_Onumber__ring(X42))|c_Groups_Oplus__class_Oplus(X42,c_Int_Onumber__class_Onumber__of(X42,X41),c_Int_Onumber__class_Onumber__of(X42,X40))=c_Int_Onumber__class_Onumber__of(X42,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X41,X40))),inference(variable_rename,[status(thm)],[2362])).
% cnf(2364,plain,(c_Groups_Oplus__class_Oplus(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X1,X3))=c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3))|~class_Int_Onumber__ring(X1)),inference(split_conjunct,[status(thm)],[2363])).
% fof(2643, plain,![X19]:c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X19)=X19,inference(variable_rename,[status(thm)],[513])).
% cnf(2644,plain,(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)=X1),inference(split_conjunct,[status(thm)],[2643])).
% fof(2692, plain,![X17]:c_Nat_OSuc(X17)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X17,c_Groups_Oone__class_Oone(tc_Nat_Onat)),inference(variable_rename,[status(thm)],[529])).
% cnf(2693,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)],[2692])).
% fof(2847, plain,![X15]:(~(class_Rings_Olinordered__idom(X15))|c_Groups_Oabs__class_Oabs(X15,c_Groups_Oone__class_Oone(X15))=c_Groups_Oone__class_Oone(X15)),inference(fof_nnf,[status(thm)],[570])).
% fof(2848, plain,![X16]:(~(class_Rings_Olinordered__idom(X16))|c_Groups_Oabs__class_Oabs(X16,c_Groups_Oone__class_Oone(X16))=c_Groups_Oone__class_Oone(X16)),inference(variable_rename,[status(thm)],[2847])).
% cnf(2849,plain,(c_Groups_Oabs__class_Oabs(X1,c_Groups_Oone__class_Oone(X1))=c_Groups_Oone__class_Oone(X1)|~class_Rings_Olinordered__idom(X1)),inference(split_conjunct,[status(thm)],[2848])).
% fof(2880, plain,![X2]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Int_OPls)=X2,inference(variable_rename,[status(thm)],[581])).
% cnf(2881,plain,(c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Int_OPls)=X1),inference(split_conjunct,[status(thm)],[2880])).
% fof(2882, plain,![X2]:c_Int_OBit0(X2)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2),inference(variable_rename,[status(thm)],[582])).
% cnf(2883,plain,(c_Int_OBit0(X1)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1)),inference(split_conjunct,[status(thm)],[2882])).
% fof(3202, plain,![X3]: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,X3))),inference(variable_rename,[status(thm)],[676])).
% cnf(3203,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)],[3202])).
% fof(3684, plain,![X23]:![X24]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,X24,X23)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X23,X24),inference(variable_rename,[status(thm)],[819])).
% cnf(3685,plain,(c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1)),inference(split_conjunct,[status(thm)],[3684])).
% fof(3686, plain,![X19]:![X20]:![X21]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,X21,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X20,X19))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X20,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X21,X19)),inference(variable_rename,[status(thm)],[820])).
% cnf(3687,plain,(c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X3))),inference(split_conjunct,[status(thm)],[3686])).
% fof(4736, plain,![X14]:![X15]:(~(class_Groups_Oordered__ab__group__add__abs(X15))|(~(c_Orderings_Oord__class_Oless(X15,c_Groups_Ozero__class_Ozero(X15),X14))|c_Groups_Oabs__class_Oabs(X15,X14)=X14)),inference(fof_nnf,[status(thm)],[1065])).
% fof(4737, plain,![X16]:![X17]:(~(class_Groups_Oordered__ab__group__add__abs(X17))|(~(c_Orderings_Oord__class_Oless(X17,c_Groups_Ozero__class_Ozero(X17),X16))|c_Groups_Oabs__class_Oabs(X17,X16)=X16)),inference(variable_rename,[status(thm)],[4736])).
% cnf(4738,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)],[4737])).
% cnf(4998,negated_conjecture,(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))!=c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(split_conjunct,[status(thm)],[1270])).
% cnf(5002,plain,(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls)))=c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),inference(rw,[status(thm)],[1398,2883,theory(equality)]),['unfolding']).
% cnf(5017,plain,(c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls)))))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),inference(rw,[status(thm)],[1305,2883,theory(equality)]),['unfolding']).
% cnf(5084,plain,(c_Groups_Otimes__class_Otimes(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls))))=c_Groups_Oplus__class_Oplus(X1,X2,X2)|~class_Int_Onumber__ring(X1)),inference(rw,[status(thm)],[1589,2883,theory(equality)]),['unfolding']).
% cnf(5150,negated_conjecture,(c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls))),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls)))))!=c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4998,2883,theory(equality)]),2883,theory(equality)]),2883,theory(equality)]),2883,theory(equality)]),['unfolding']).
% cnf(5169,plain,(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[5002,2693,theory(equality)]),2693,theory(equality)]),['unfolding']).
% cnf(5297,plain,(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[5169,2343,theory(equality)]),2343,theory(equality)]),['unfolding']).
% cnf(5313,plain,(c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[5017,2343,theory(equality)]),2343,theory(equality)]),['unfolding']).
% cnf(5345,plain,(c_Groups_Otimes__class_Otimes(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))=X2|~class_Int_Onumber__ring(X1)),inference(rw,[status(thm)],[1512,2343,theory(equality)]),['unfolding']).
% cnf(5380,plain,(c_Groups_Otimes__class_Otimes(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))=c_Groups_Oplus__class_Oplus(X1,X2,X2)|~class_Int_Onumber__ring(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[5084,2343,theory(equality)]),2343,theory(equality)]),['unfolding']).
% cnf(5390,plain,(c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),X2))=c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X2))|~class_Int_Onumber__ring(X1)),inference(rw,[status(thm)],[2043,2343,theory(equality)]),['unfolding']).
% cnf(5393,plain,(c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X2)),c_Int_Onumber__class_Onumber__of(X1,X2))=c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2),X2))|~class_Int_Onumber__ring(X1)),inference(rw,[status(thm)],[2046,2343,theory(equality)]),['unfolding']).
% cnf(5461,negated_conjecture,(c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))!=c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5150,2343,theory(equality)]),2343,theory(equality)]),2343,theory(equality)]),2343,theory(equality)]),2343,theory(equality)]),2343,theory(equality)]),2343,theory(equality)]),2343,theory(equality)]),['unfolding']).
% cnf(5484,plain,(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5297,2881,theory(equality)]),2881,theory(equality)]),2881,theory(equality)]),2881,theory(equality)])).
% cnf(5485,plain,(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),inference(rw,[status(thm)],[5484,1919,theory(equality)])).
% cnf(5525,plain,(c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5313,2881,theory(equality)]),2881,theory(equality)]),2881,theory(equality)]),2881,theory(equality)]),5485,theory(equality)]),1272,theory(equality)])).
% cnf(5542,negated_conjecture,(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))!=c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5461,2881,theory(equality)]),2881,theory(equality)]),2881,theory(equality)]),2881,theory(equality)]),2881,theory(equality)]),2881,theory(equality)]),2881,theory(equality)]),2881,theory(equality)]),5485,theory(equality)]),1272,theory(equality)]),5525,theory(equality)])).
% cnf(5543,negated_conjecture,(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))!=c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5542,2881,theory(equality)]),2881,theory(equality)]),2881,theory(equality)]),2881,theory(equality)]),2881,theory(equality)]),2881,theory(equality)]),2881,theory(equality)]),2881,theory(equality)])).
% cnf(5583,negated_conjecture,(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))))!=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[5543,3687,theory(equality)]),3685,theory(equality)])).
% cnf(5633,plain,(c_Groups_Otimes__class_Otimes(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))=X2|~class_Int_Onumber__ring(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[5345,2881,theory(equality)]),2881,theory(equality)])).
% cnf(5698,plain,(c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2))=c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X2))|~class_Int_Onumber__ring(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[5390,2881,theory(equality)]),2881,theory(equality)])).
% cnf(5748,plain,(c_Groups_Otimes__class_Otimes(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))=c_Groups_Oplus__class_Oplus(X1,X2,X2)|~class_Int_Onumber__ring(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5380,2881,theory(equality)]),2881,theory(equality)]),2881,theory(equality)]),2881,theory(equality)])).
% cnf(5811,plain,(c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X2)),c_Int_Onumber__class_Onumber__of(X1,X2))=c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2)))|~class_Int_Onumber__ring(X1)),inference(rw,[status(thm)],[5393,3685,theory(equality)])).
% cnf(6848,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_Oone__class_Oone(tc_RealDef_Oreal)))|~class_Rings_Olinordered__idom(tc_RealDef_Oreal)),inference(spm,[status(thm)],[3203,2849,theory(equality)])).
% cnf(6850,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_Oone__class_Oone(tc_RealDef_Oreal)))|$false),inference(rw,[status(thm)],[6848,2090,theory(equality)])).
% cnf(6851,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),inference(cn,[status(thm)],[6850,theory(equality)])).
% cnf(7787,plain,(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_Int_Oint))|~class_Int_Onumber__ring(tc_RealDef_Oreal)),inference(spm,[status(thm)],[2644,5633,theory(equality)])).
% cnf(7809,plain,(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_Int_Oint))|$false),inference(rw,[status(thm)],[7787,2105,theory(equality)])).
% cnf(7810,plain,(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_Int_Oint))),inference(cn,[status(thm)],[7809,theory(equality)])).
% cnf(17739,plain,(c_Groups_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))=c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2))|~class_Int_Onumber__ring(X1)),inference(spm,[status(thm)],[2364,5748,theory(equality)])).
% cnf(17813,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))|~class_Int_Onumber__ring(tc_RealDef_Oreal)),inference(spm,[status(thm)],[2644,5748,theory(equality)])).
% cnf(18222,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))|$false),inference(rw,[status(thm)],[17813,2105,theory(equality)])).
% cnf(18223,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),inference(cn,[status(thm)],[18222,theory(equality)])).
% cnf(87116,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X1))=c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1))|~class_Int_Onumber__ring(tc_RealDef_Oreal)),inference(spm,[status(thm)],[2364,7810,theory(equality)])).
% cnf(87124,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))|~class_Int_Onumber__ring(tc_RealDef_Oreal)),inference(spm,[status(thm)],[5811,7810,theory(equality)])).
% cnf(87177,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X1))=c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1))|$false),inference(rw,[status(thm)],[87116,2105,theory(equality)])).
% cnf(87178,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X1))=c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1))),inference(cn,[status(thm)],[87177,theory(equality)])).
% cnf(87198,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))|$false),inference(rw,[status(thm)],[87124,2105,theory(equality)])).
% cnf(87199,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),inference(cn,[status(thm)],[87198,theory(equality)])).
% cnf(90522,negated_conjecture,(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))))!=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),inference(rw,[status(thm)],[5583,18223,theory(equality)])).
% cnf(95040,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),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),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))|~class_Int_Onumber__ring(tc_RealDef_Oreal)),inference(spm,[status(thm)],[5698,87199,theory(equality)])).
% cnf(95161,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),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),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|~class_Int_Onumber__ring(tc_RealDef_Oreal)),inference(rw,[status(thm)],[95040,18223,theory(equality)])).
% cnf(95162,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),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),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|$false),inference(rw,[status(thm)],[95161,2105,theory(equality)])).
% cnf(95163,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),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),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),inference(cn,[status(thm)],[95162,theory(equality)])).
% cnf(95419,negated_conjecture,(c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))))!=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|~class_Int_Onumber__ring(tc_RealDef_Oreal)),inference(spm,[status(thm)],[90522,5698,theory(equality)])).
% cnf(95423,negated_conjecture,(c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(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),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))!=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|~class_Int_Onumber__ring(tc_RealDef_Oreal)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[95419,87199,theory(equality)]),95163,theory(equality)])).
% cnf(95424,negated_conjecture,(c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(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),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))!=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|$false),inference(rw,[status(thm)],[95423,2105,theory(equality)])).
% cnf(95425,negated_conjecture,(c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))!=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),inference(cn,[status(thm)],[95424,theory(equality)])).
% cnf(127570,plain,(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)),inference(spm,[status(thm)],[4738,6851,theory(equality)])).
% cnf(127585,plain,(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|$false),inference(rw,[status(thm)],[127570,2072,theory(equality)])).
% cnf(127586,plain,(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,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),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),inference(cn,[status(thm)],[127585,theory(equality)])).
% cnf(127657,negated_conjecture,(c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(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),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,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),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),inference(rw,[status(thm)],[95425,127586,theory(equality)])).
% cnf(1355149,plain,(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))|~class_Int_Onumber__ring(tc_RealDef_Oreal)),inference(spm,[status(thm)],[1669,17739,theory(equality)])).
% cnf(1358315,plain,(c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(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),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))|~class_Int_Onumber__ring(tc_RealDef_Oreal)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1355149,3687,theory(equality)]),3685,theory(equality)]),87178,theory(equality)]),87178,theory(equality)]),87178,theory(equality)]),7810,theory(equality)])).
% cnf(1358316,plain,(c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(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),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,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),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~class_Int_Onumber__ring(tc_RealDef_Oreal)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1358315,87178,theory(equality)]),7810,theory(equality)]),127586,theory(equality)])).
% cnf(1358317,plain,(c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(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),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,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),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|$false),inference(rw,[status(thm)],[1358316,2105,theory(equality)])).
% cnf(1358318,plain,(c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),inference(cn,[status(thm)],[1358317,theory(equality)])).
% cnf(1358319,plain,($false),inference(sr,[status(thm)],[1358318,127657,theory(equality)])).
% cnf(1358320,plain,($false),1358319,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 63547
% # ...of these trivial : 435
% # ...subsumed : 55382
% # ...remaining for further processing: 7730
% # Other redundant clauses eliminated : 900
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 145
% # Backward-rewritten : 201
% # Generated clauses : 773150
% # ...of the previous two non-trivial : 727656
% # Contextual simplify-reflections : 4103
% # Paramodulations : 772061
% # Factorizations : 23
% # Equation resolutions : 1060
% # Current number of processed clauses: 6070
% # Positive orientable unit clauses: 756
% # Positive unorientable unit clauses: 131
% # Negative unit clauses : 1220
% # Non-unit-clauses : 3963
% # Current number of unprocessed clauses: 643923
% # ...number of literals in the above : 1770819
% # Clause-clause subsumption calls (NU) : 537649
% # Rec. Clause-clause subsumption calls : 492137
% # Unit Clause-clause subsumption calls : 23402
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 41457
% # Indexed BW rewrite successes : 1830
% # Backwards rewriting index: 939 leaves, 5.83+/-16.406 terms/leaf
% # Paramod-from index: 605 leaves, 3.45+/-8.130 terms/leaf
% # Paramod-into index: 865 leaves, 5.47+/-15.256 terms/leaf
% # -------------------------------------------------
% # User time : 33.603 s
% # System time : 1.123 s
% # Total time : 34.726 s
% # Maximum resident set size: 0 pages
% PrfWatch: 52.93 CPU 54.04 WC
% FINAL PrfWatch: 52.93 CPU 54.04 WC
% SZS output end Solution for /tmp/SystemOnTPTP29241/SWW174+1.tptp
%
%------------------------------------------------------------------------------