TSTP Solution File: SWW194+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWW194+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 00:42:07 EST 2011
% Result : Theorem 174.05s
% Output : Solution 174.05s
% 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/SystemOnTPTP1028/SWW194+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% WARNING: TreeLimitedRun lost 1.02s, total lost is 1.02s
% found
% SZS status THM for /tmp/SystemOnTPTP1028/SWW194+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP1028/SWW194+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 1267
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.95 CPU 2.02 WC
% PrfWatch: 3.94 CPU 4.03 WC
% PrfWatch: 5.93 CPU 6.03 WC
% PrfWatch: 7.92 CPU 8.04 WC
% PrfWatch: 9.90 CPU 10.05 WC
% PrfWatch: 11.89 CPU 12.06 WC
% # Preprocessing time : 0.231 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 13.88 CPU 14.06 WC
% PrfWatch: 15.85 CPU 16.07 WC
% PrfWatch: 17.84 CPU 18.08 WC
% PrfWatch: 19.83 CPU 20.08 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_x____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),file('/tmp/SRASS.s.p', fact__096abs_A_I2_A_K_Ax_J_A_060_061_A1_096)).
% fof(30, axiom,![X9]:c_NthRoot_Osqrt(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X9),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,X9),file('/tmp/SRASS.s.p', fact_real__sqrt__abs)).
% fof(39, axiom,![X5]:![X6]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X6),X5)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X5),X6),file('/tmp/SRASS.s.p', fact_real__mult__commute)).
% fof(47, axiom,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_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),file('/tmp/SRASS.s.p', fact_nat__1__add__1)).
% fof(67, axiom,![X24]:(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_NthRoot_Osqrt(X24)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=X24<=>c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X24)),file('/tmp/SRASS.s.p', fact_real__sqrt__pow2__iff)).
% fof(101, axiom,![X24]:(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X24),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))<=>c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X24,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),file('/tmp/SRASS.s.p', fact_real__sqrt__le__1__iff)).
% fof(204, axiom,![X1]:![X14]:(class_Groups_Omonoid__mult(X14)=>hAPP(hAPP(c_Power_Opower__class_Opower(X14),c_Groups_Oone__class_Oone(X14)),X1)=c_Groups_Oone__class_Oone(X14)),file('/tmp/SRASS.s.p', fact_power__one)).
% fof(213, axiom,![X2]:![X9]:c_NthRoot_Osqrt(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X9),X2))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_NthRoot_Osqrt(X9)),X2),file('/tmp/SRASS.s.p', fact_real__sqrt__power)).
% fof(366, axiom,![X53]:![X54]:![X55]:![X56]:(c_Complex_Ocomplex_OComplex(X56,X55)=c_Complex_Ocomplex_OComplex(X54,X53)<=>(X56=X54&X55=X53)),file('/tmp/SRASS.s.p', fact_complex_Oinject)).
% fof(454, 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(487, axiom,class_Groups_Omonoid__mult(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Groups_Omonoid__mult)).
% fof(618, axiom,![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),file('/tmp/SRASS.s.p', fact_Bit1__def)).
% fof(627, axiom,![X13]:![X14]:(class_Groups_Oordered__ab__group__add__abs(X14)=>c_Groups_Oabs__class_Oabs(X14,c_Groups_Oabs__class_Oabs(X14,X13))=c_Groups_Oabs__class_Oabs(X14,X13)),file('/tmp/SRASS.s.p', fact_abs__idempotent)).
% fof(698, axiom,![X13]:![X14]:(class_Groups_Oordered__ab__group__add__abs(X14)=>(c_Orderings_Oord__class_Oless__eq(X14,c_Groups_Ozero__class_Ozero(X14),X13)=>c_Groups_Oabs__class_Oabs(X14,X13)=X13)),file('/tmp/SRASS.s.p', fact_abs__of__nonneg)).
% fof(760, axiom,![X2]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Int_OPls)=X2,file('/tmp/SRASS.s.p', fact_add__Pls__right)).
% fof(763, axiom,![X2]:c_Int_OBit0(X2)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X2),file('/tmp/SRASS.s.p', fact_Bit0__def)).
% fof(982, axiom,~(![X47]:![X80]:~(v_z=c_Complex_Ocomplex_OComplex(X47,X80))),file('/tmp/SRASS.s.p', fact__096_B_Bthesis_O_A_I_B_Bx_Ay_O_Az_A_061_AComplex_Ax_Ay_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096)).
% fof(1045, axiom,v_z=c_Complex_Ocomplex_OComplex(v_x____,v_y____),file('/tmp/SRASS.s.p', fact_z)).
% fof(1199, conjecture,c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_x____))),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),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(1200, negated_conjecture,~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_x____))),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(assume_negation,[status(cth)],[1199])).
% fof(1267, negated_conjecture,~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_x____))),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(fof_simplification,[status(thm)],[1200,theory(equality)])).
% cnf(1268,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_x____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),inference(split_conjunct,[status(thm)],[1])).
% fof(1333, plain,![X10]:c_NthRoot_Osqrt(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X10),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,X10),inference(variable_rename,[status(thm)],[30])).
% cnf(1334,plain,(c_NthRoot_Osqrt(hAPP(hAPP(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)],[1333])).
% fof(1358, plain,![X7]:![X8]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X8),X7)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X7),X8),inference(variable_rename,[status(thm)],[39])).
% cnf(1359,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)),inference(split_conjunct,[status(thm)],[1358])).
% cnf(1376,plain,(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_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),inference(split_conjunct,[status(thm)],[47])).
% fof(1427, plain,![X24]:((~(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_NthRoot_Osqrt(X24)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=X24)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X24))&(~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X24))|hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_NthRoot_Osqrt(X24)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=X24)),inference(fof_nnf,[status(thm)],[67])).
% fof(1428, plain,![X25]:((~(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_NthRoot_Osqrt(X25)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=X25)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X25))&(~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X25))|hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_NthRoot_Osqrt(X25)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=X25)),inference(variable_rename,[status(thm)],[1427])).
% cnf(1430,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))!=X1),inference(split_conjunct,[status(thm)],[1428])).
% fof(1528, plain,![X24]:((~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X24),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X24,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))&(~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X24,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X24),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),inference(fof_nnf,[status(thm)],[101])).
% fof(1529, plain,![X25]:((~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X25),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X25,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))&(~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X25,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X25),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),inference(variable_rename,[status(thm)],[1528])).
% cnf(1531,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),inference(split_conjunct,[status(thm)],[1529])).
% fof(1857, plain,![X1]:![X14]:(~(class_Groups_Omonoid__mult(X14))|hAPP(hAPP(c_Power_Opower__class_Opower(X14),c_Groups_Oone__class_Oone(X14)),X1)=c_Groups_Oone__class_Oone(X14)),inference(fof_nnf,[status(thm)],[204])).
% fof(1858, plain,![X15]:![X16]:(~(class_Groups_Omonoid__mult(X16))|hAPP(hAPP(c_Power_Opower__class_Opower(X16),c_Groups_Oone__class_Oone(X16)),X15)=c_Groups_Oone__class_Oone(X16)),inference(variable_rename,[status(thm)],[1857])).
% cnf(1859,plain,(hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Oone__class_Oone(X1)),X2)=c_Groups_Oone__class_Oone(X1)|~class_Groups_Omonoid__mult(X1)),inference(split_conjunct,[status(thm)],[1858])).
% fof(1878, plain,![X10]:![X11]:c_NthRoot_Osqrt(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X11),X10))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_NthRoot_Osqrt(X11)),X10),inference(variable_rename,[status(thm)],[213])).
% cnf(1879,plain,(c_NthRoot_Osqrt(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X2))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1)),X2)),inference(split_conjunct,[status(thm)],[1878])).
% fof(2403, plain,![X53]:![X54]:![X55]:![X56]:((~(c_Complex_Ocomplex_OComplex(X56,X55)=c_Complex_Ocomplex_OComplex(X54,X53))|(X56=X54&X55=X53))&((~(X56=X54)|~(X55=X53))|c_Complex_Ocomplex_OComplex(X56,X55)=c_Complex_Ocomplex_OComplex(X54,X53))),inference(fof_nnf,[status(thm)],[366])).
% fof(2404, plain,![X57]:![X58]:![X59]:![X60]:((~(c_Complex_Ocomplex_OComplex(X60,X59)=c_Complex_Ocomplex_OComplex(X58,X57))|(X60=X58&X59=X57))&((~(X60=X58)|~(X59=X57))|c_Complex_Ocomplex_OComplex(X60,X59)=c_Complex_Ocomplex_OComplex(X58,X57))),inference(variable_rename,[status(thm)],[2403])).
% fof(2405, plain,![X57]:![X58]:![X59]:![X60]:(((X60=X58|~(c_Complex_Ocomplex_OComplex(X60,X59)=c_Complex_Ocomplex_OComplex(X58,X57)))&(X59=X57|~(c_Complex_Ocomplex_OComplex(X60,X59)=c_Complex_Ocomplex_OComplex(X58,X57))))&((~(X60=X58)|~(X59=X57))|c_Complex_Ocomplex_OComplex(X60,X59)=c_Complex_Ocomplex_OComplex(X58,X57))),inference(distribute,[status(thm)],[2404])).
% cnf(2407,plain,(X2=X4|c_Complex_Ocomplex_OComplex(X1,X2)!=c_Complex_Ocomplex_OComplex(X3,X4)),inference(split_conjunct,[status(thm)],[2405])).
% cnf(2408,plain,(X1=X3|c_Complex_Ocomplex_OComplex(X1,X2)!=c_Complex_Ocomplex_OComplex(X3,X4)),inference(split_conjunct,[status(thm)],[2405])).
% cnf(2621,plain,(class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[454])).
% cnf(2654,plain,(class_Groups_Omonoid__mult(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[487])).
% fof(2967, plain,![X3]:c_Int_OBit1(X3)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X3),X3),inference(variable_rename,[status(thm)],[618])).
% cnf(2968,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)],[2967])).
% fof(2986, plain,![X13]:![X14]:(~(class_Groups_Oordered__ab__group__add__abs(X14))|c_Groups_Oabs__class_Oabs(X14,c_Groups_Oabs__class_Oabs(X14,X13))=c_Groups_Oabs__class_Oabs(X14,X13)),inference(fof_nnf,[status(thm)],[627])).
% fof(2987, plain,![X15]:![X16]:(~(class_Groups_Oordered__ab__group__add__abs(X16))|c_Groups_Oabs__class_Oabs(X16,c_Groups_Oabs__class_Oabs(X16,X15))=c_Groups_Oabs__class_Oabs(X16,X15)),inference(variable_rename,[status(thm)],[2986])).
% cnf(2988,plain,(c_Groups_Oabs__class_Oabs(X1,c_Groups_Oabs__class_Oabs(X1,X2))=c_Groups_Oabs__class_Oabs(X1,X2)|~class_Groups_Oordered__ab__group__add__abs(X1)),inference(split_conjunct,[status(thm)],[2987])).
% fof(3216, plain,![X13]:![X14]:(~(class_Groups_Oordered__ab__group__add__abs(X14))|(~(c_Orderings_Oord__class_Oless__eq(X14,c_Groups_Ozero__class_Ozero(X14),X13))|c_Groups_Oabs__class_Oabs(X14,X13)=X13)),inference(fof_nnf,[status(thm)],[698])).
% fof(3217, plain,![X15]:![X16]:(~(class_Groups_Oordered__ab__group__add__abs(X16))|(~(c_Orderings_Oord__class_Oless__eq(X16,c_Groups_Ozero__class_Ozero(X16),X15))|c_Groups_Oabs__class_Oabs(X16,X15)=X15)),inference(variable_rename,[status(thm)],[3216])).
% cnf(3218,plain,(c_Groups_Oabs__class_Oabs(X1,X2)=X2|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Groups_Oordered__ab__group__add__abs(X1)),inference(split_conjunct,[status(thm)],[3217])).
% fof(3442, plain,![X3]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,c_Int_OPls)=X3,inference(variable_rename,[status(thm)],[760])).
% cnf(3443,plain,(c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Int_OPls)=X1),inference(split_conjunct,[status(thm)],[3442])).
% fof(3448, plain,![X3]:c_Int_OBit0(X3)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,X3),inference(variable_rename,[status(thm)],[763])).
% cnf(3449,plain,(c_Int_OBit0(X1)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1)),inference(split_conjunct,[status(thm)],[3448])).
% fof(4296, plain,?[X47]:?[X80]:v_z=c_Complex_Ocomplex_OComplex(X47,X80),inference(fof_nnf,[status(thm)],[982])).
% fof(4297, plain,?[X81]:?[X82]:v_z=c_Complex_Ocomplex_OComplex(X81,X82),inference(variable_rename,[status(thm)],[4296])).
% fof(4298, plain,v_z=c_Complex_Ocomplex_OComplex(esk8_0,esk9_0),inference(skolemize,[status(esa)],[4297])).
% cnf(4299,plain,(v_z=c_Complex_Ocomplex_OComplex(esk8_0,esk9_0)),inference(split_conjunct,[status(thm)],[4298])).
% cnf(4596,plain,(v_z=c_Complex_Ocomplex_OComplex(v_x____,v_y____)),inference(split_conjunct,[status(thm)],[1045])).
% cnf(4892,negated_conjecture,(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_x____))),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(split_conjunct,[status(thm)],[1267])).
% cnf(4908,plain,(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_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)))),inference(rw,[status(thm)],[1376,3449,theory(equality)]),['unfolding']).
% cnf(4917,plain,(c_NthRoot_Osqrt(hAPP(hAPP(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)],[1334,3449,theory(equality)]),['unfolding']).
% cnf(4924,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(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)))),v_x____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),inference(rw,[status(thm)],[1268,3449,theory(equality)]),['unfolding']).
% cnf(4990,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_NthRoot_Osqrt(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))))!=X1),inference(rw,[status(thm)],[1430,3449,theory(equality)]),['unfolding']).
% cnf(5044,negated_conjecture,(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(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)))),v_x____))),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)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),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)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4892,3449,theory(equality)]),3449,theory(equality)]),3449,theory(equality)]),['unfolding']).
% cnf(5199,plain,(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_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)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4908,2968,theory(equality)]),2968,theory(equality)]),['unfolding']).
% cnf(5208,plain,(c_NthRoot_Osqrt(hAPP(hAPP(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)],[4917,2968,theory(equality)]),2968,theory(equality)]),['unfolding']).
% cnf(5215,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(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)))),v_x____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4924,2968,theory(equality)]),2968,theory(equality)]),['unfolding']).
% cnf(5284,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_NthRoot_Osqrt(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))))!=X1),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4990,2968,theory(equality)]),2968,theory(equality)]),['unfolding']).
% cnf(5349,negated_conjecture,(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(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)))),v_x____))),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)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),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)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5044,2968,theory(equality)]),2968,theory(equality)]),2968,theory(equality)]),2968,theory(equality)]),2968,theory(equality)]),2968,theory(equality)]),['unfolding']).
% cnf(5477,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5199,3443,theory(equality)]),3443,theory(equality)]),3443,theory(equality)]),3443,theory(equality)])).
% cnf(5537,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),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_Groups_Oone__class_Oone(tc_RealDef_Oreal))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5215,3443,theory(equality)]),3443,theory(equality)]),3443,theory(equality)]),3443,theory(equality)]),1359,theory(equality)])).
% cnf(5600,plain,(c_NthRoot_Osqrt(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),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)],[5208,3443,theory(equality)]),3443,theory(equality)]),3443,theory(equality)]),3443,theory(equality)]),5477,theory(equality)])).
% cnf(5644,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)!=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)],[inference(rw,[status(thm)],[5284,3443,theory(equality)]),3443,theory(equality)]),3443,theory(equality)]),3443,theory(equality)]),5477,theory(equality)]),1879,theory(equality)]),5600,theory(equality)])).
% cnf(5845,negated_conjecture,(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),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_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),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)],[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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5349,3443,theory(equality)]),3443,theory(equality)]),3443,theory(equality)]),3443,theory(equality)]),1359,theory(equality)]),3443,theory(equality)]),3443,theory(equality)]),3443,theory(equality)]),3443,theory(equality)]),5477,theory(equality)]),3443,theory(equality)]),3443,theory(equality)]),3443,theory(equality)]),3443,theory(equality)]),5477,theory(equality)])).
% cnf(6334,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))|~class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)),inference(spm,[status(thm)],[5644,2988,theory(equality)])).
% cnf(6341,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))|$false),inference(rw,[status(thm)],[6334,2621,theory(equality)])).
% cnf(6342,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(cn,[status(thm)],[6341,theory(equality)])).
% cnf(6553,plain,(X1=esk9_0|c_Complex_Ocomplex_OComplex(X2,X1)!=v_z),inference(spm,[status(thm)],[2407,4299,theory(equality)])).
% cnf(6568,plain,(X1=v_x____|c_Complex_Ocomplex_OComplex(X1,X2)!=v_z),inference(spm,[status(thm)],[2408,4596,theory(equality)])).
% cnf(7607,plain,(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(spm,[status(thm)],[1859,2654,theory(equality)])).
% cnf(10327,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),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_Oone__class_Oone(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),inference(spm,[status(thm)],[1531,5600,theory(equality)])).
% cnf(127479,negated_conjecture,(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),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_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_Oone__class_Oone(tc_RealDef_Oreal))),inference(rw,[status(thm)],[5845,7607,theory(equality)])).
% cnf(128502,plain,(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)|~class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)),inference(spm,[status(thm)],[3218,6342,theory(equality)])).
% cnf(128554,plain,(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)|$false),inference(rw,[status(thm)],[128502,2621,theory(equality)])).
% cnf(128555,plain,(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),inference(cn,[status(thm)],[128554,theory(equality)])).
% cnf(171132,plain,(v_y____=esk9_0),inference(spm,[status(thm)],[6553,4596,theory(equality)])).
% cnf(171174,plain,(c_Complex_Ocomplex_OComplex(esk8_0,v_y____)=v_z),inference(rw,[status(thm)],[4299,171132,theory(equality)])).
% cnf(173918,plain,(esk8_0=v_x____),inference(spm,[status(thm)],[6568,171174,theory(equality)])).
% cnf(174008,negated_conjecture,(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),esk8_0),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_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_Oone__class_Oone(tc_RealDef_Oreal))),inference(rw,[status(thm)],[127479,173918,theory(equality)])).
% cnf(174009,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),esk8_0),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_Groups_Oone__class_Oone(tc_RealDef_Oreal))),inference(rw,[status(thm)],[5537,173918,theory(equality)])).
% cnf(546489,negated_conjecture,(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),esk8_0),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_Groups_Oone__class_Oone(tc_RealDef_Oreal))),inference(spm,[status(thm)],[174008,10327,theory(equality)])).
% cnf(546536,negated_conjecture,($false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[546489,128555,theory(equality)]),174009,theory(equality)])).
% cnf(546537,negated_conjecture,($false),inference(cn,[status(thm)],[546536,theory(equality)])).
% cnf(546538,negated_conjecture,($false),546537,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 19251
% # ...of these trivial : 631
% # ...subsumed : 13240
% # ...remaining for further processing: 5380
% # Other redundant clauses eliminated : 395
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 60
% # Backward-rewritten : 180
% # Generated clauses : 271206
% # ...of the previous two non-trivial : 239126
% # Contextual simplify-reflections : 1583
% # Paramodulations : 270663
% # Factorizations : 57
% # Equation resolutions : 484
% # Current number of processed clauses: 3838
% # Positive orientable unit clauses: 860
% # Positive unorientable unit clauses: 44
% # Negative unit clauses : 253
% # Non-unit-clauses : 2681
% # Current number of unprocessed clauses: 213680
% # ...number of literals in the above : 604554
% # Clause-clause subsumption calls (NU) : 116080
% # Rec. Clause-clause subsumption calls : 93964
% # Unit Clause-clause subsumption calls : 3825
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 32934
% # Indexed BW rewrite successes : 1441
% # Backwards rewriting index: 1044 leaves, 3.59+/-11.610 terms/leaf
% # Paramod-from index: 603 leaves, 2.91+/-7.042 terms/leaf
% # Paramod-into index: 964 leaves, 3.45+/-11.453 terms/leaf
% # -------------------------------------------------
% # User time : 13.279 s
% # System time : 0.437 s
% # Total time : 13.716 s
% # Maximum resident set size: 0 pages
% PrfWatch: 20.80 CPU 21.05 WC
% FINAL PrfWatch: 20.80 CPU 21.05 WC
% SZS output end Solution for /tmp/SystemOnTPTP1028/SWW194+1.tptp
%
%------------------------------------------------------------------------------