TSTP Solution File: SWW192+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWW192+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 00:40:18 EST 2011
% Result : Theorem 203.49s
% Output : Solution 203.49s
% 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/SystemOnTPTP11323/SWW192+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% WARNING: TreeLimitedRun lost 0.90s, total lost is 0.90s
% found
% SZS status THM for /tmp/SystemOnTPTP11323/SWW192+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP11323/SWW192+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 11591
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.94 CPU 2.02 WC
% PrfWatch: 3.92 CPU 4.03 WC
% PrfWatch: 5.35 CPU 6.04 WC
% PrfWatch: 6.94 CPU 8.12 WC
% PrfWatch: 8.71 CPU 10.13 WC
% PrfWatch: 10.70 CPU 12.13 WC
% PrfWatch: 12.68 CPU 14.14 WC
% PrfWatch: 14.67 CPU 16.14 WC
% PrfWatch: 16.66 CPU 18.15 WC
% PrfWatch: 18.64 CPU 20.15 WC
% PrfWatch: 20.63 CPU 22.16 WC
% PrfWatch: 22.62 CPU 24.16 WC
% # Preprocessing time : 0.230 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 24.59 CPU 26.17 WC
% PrfWatch: 26.56 CPU 28.17 WC
% PrfWatch: 27.93 CPU 30.18 WC
% PrfWatch: 29.31 CPU 32.18 WC
% PrfWatch: 31.31 CPU 34.19 WC
% PrfWatch: 33.30 CPU 36.19 WC
% PrfWatch: 35.29 CPU 38.20 WC
% PrfWatch: 37.29 CPU 40.20 WC
% # SZS output start CNFRefutation.
% fof(5, 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(49, axiom,![X6]:c_Int_OBit1(X6)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X6),X6),file('/tmp/SRASS.s.p', fact_Bit1__def)).
% fof(99, axiom,![X6]:c_Int_OBit0(X6)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X6,X6),file('/tmp/SRASS.s.p', fact_Bit0__def)).
% fof(110, axiom,![X6]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,X6,c_Int_OPls)=X6,file('/tmp/SRASS.s.p', fact_add__Pls__right)).
% fof(123, axiom,![X16]:(c_NthRoot_Osqrt(X16)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)<=>X16=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),file('/tmp/SRASS.s.p', fact_real__sqrt__eq__1__iff)).
% fof(161, axiom,![X11]:![X12]:c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X12,X11))=c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X12),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),X11),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),file('/tmp/SRASS.s.p', fact_complex__norm)).
% fof(253, axiom,![X23]:![X24]:![X17]:(class_Rings_Ocomm__semiring__1(X17)=>c_Groups_Oplus__class_Oplus(X17,X24,X23)=c_Groups_Oplus__class_Oplus(X17,X23,X24)),file('/tmp/SRASS.s.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J)).
% fof(280, axiom,v_z=c_Complex_Ocomplex_OComplex(v_x____,v_y____),file('/tmp/SRASS.s.p', fact_z)).
% fof(343, axiom,![X59]:![X60]:![X61]:![X62]:(c_Complex_Ocomplex_OComplex(X62,X61)=c_Complex_Ocomplex_OComplex(X60,X59)<=>(X62=X60&X61=X59)),file('/tmp/SRASS.s.p', fact_complex_Oinject)).
% fof(424, axiom,class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Rings_Ocomm__semiring__1)).
% fof(504, axiom,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', fact_assms)).
% fof(975, axiom,~(![X3]:![X37]:~(v_z=c_Complex_Ocomplex_OComplex(X3,X37))),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(1231, conjecture,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),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),v_y____),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', conj_0)).
% fof(1232, negated_conjecture,~(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),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),v_y____),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(assume_negation,[status(cth)],[1231])).
% fof(1312, negated_conjecture,~(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),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),v_y____),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(fof_simplification,[status(thm)],[1232,theory(equality)])).
% cnf(1326,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)],[5])).
% fof(1432, plain,![X7]:c_Int_OBit1(X7)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X7),X7),inference(variable_rename,[status(thm)],[49])).
% cnf(1433,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)],[1432])).
% fof(1577, plain,![X7]:c_Int_OBit0(X7)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X7,X7),inference(variable_rename,[status(thm)],[99])).
% cnf(1578,plain,(c_Int_OBit0(X1)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1)),inference(split_conjunct,[status(thm)],[1577])).
% fof(1612, plain,![X7]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,X7,c_Int_OPls)=X7,inference(variable_rename,[status(thm)],[110])).
% cnf(1613,plain,(c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Int_OPls)=X1),inference(split_conjunct,[status(thm)],[1612])).
% fof(1654, plain,![X16]:((~(c_NthRoot_Osqrt(X16)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|X16=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))&(~(X16=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_NthRoot_Osqrt(X16)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),inference(fof_nnf,[status(thm)],[123])).
% fof(1655, plain,![X17]:((~(c_NthRoot_Osqrt(X17)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|X17=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))&(~(X17=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_NthRoot_Osqrt(X17)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),inference(variable_rename,[status(thm)],[1654])).
% cnf(1657,plain,(X1=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_NthRoot_Osqrt(X1)!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[1655])).
% fof(1762, plain,![X13]:![X14]:c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X14,X13))=c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X14),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),X13),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(variable_rename,[status(thm)],[161])).
% cnf(1763,plain,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X2))=c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,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)))),hAPP(hAPP(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))))))),inference(split_conjunct,[status(thm)],[1762])).
% fof(2058, plain,![X23]:![X24]:![X17]:(~(class_Rings_Ocomm__semiring__1(X17))|c_Groups_Oplus__class_Oplus(X17,X24,X23)=c_Groups_Oplus__class_Oplus(X17,X23,X24)),inference(fof_nnf,[status(thm)],[253])).
% fof(2059, plain,![X25]:![X26]:![X27]:(~(class_Rings_Ocomm__semiring__1(X27))|c_Groups_Oplus__class_Oplus(X27,X26,X25)=c_Groups_Oplus__class_Oplus(X27,X25,X26)),inference(variable_rename,[status(thm)],[2058])).
% cnf(2060,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)],[2059])).
% cnf(2159,plain,(v_z=c_Complex_Ocomplex_OComplex(v_x____,v_y____)),inference(split_conjunct,[status(thm)],[280])).
% fof(2384, plain,![X59]:![X60]:![X61]:![X62]:((~(c_Complex_Ocomplex_OComplex(X62,X61)=c_Complex_Ocomplex_OComplex(X60,X59))|(X62=X60&X61=X59))&((~(X62=X60)|~(X61=X59))|c_Complex_Ocomplex_OComplex(X62,X61)=c_Complex_Ocomplex_OComplex(X60,X59))),inference(fof_nnf,[status(thm)],[343])).
% fof(2385, plain,![X63]:![X64]:![X65]:![X66]:((~(c_Complex_Ocomplex_OComplex(X66,X65)=c_Complex_Ocomplex_OComplex(X64,X63))|(X66=X64&X65=X63))&((~(X66=X64)|~(X65=X63))|c_Complex_Ocomplex_OComplex(X66,X65)=c_Complex_Ocomplex_OComplex(X64,X63))),inference(variable_rename,[status(thm)],[2384])).
% fof(2386, plain,![X63]:![X64]:![X65]:![X66]:(((X66=X64|~(c_Complex_Ocomplex_OComplex(X66,X65)=c_Complex_Ocomplex_OComplex(X64,X63)))&(X65=X63|~(c_Complex_Ocomplex_OComplex(X66,X65)=c_Complex_Ocomplex_OComplex(X64,X63))))&((~(X66=X64)|~(X65=X63))|c_Complex_Ocomplex_OComplex(X66,X65)=c_Complex_Ocomplex_OComplex(X64,X63))),inference(distribute,[status(thm)],[2385])).
% cnf(2388,plain,(X2=X4|c_Complex_Ocomplex_OComplex(X1,X2)!=c_Complex_Ocomplex_OComplex(X3,X4)),inference(split_conjunct,[status(thm)],[2386])).
% cnf(2389,plain,(X1=X3|c_Complex_Ocomplex_OComplex(X1,X2)!=c_Complex_Ocomplex_OComplex(X3,X4)),inference(split_conjunct,[status(thm)],[2386])).
% cnf(2617,plain,(class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[424])).
% cnf(2744,plain,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[504])).
% fof(4420, plain,?[X3]:?[X37]:v_z=c_Complex_Ocomplex_OComplex(X3,X37),inference(fof_nnf,[status(thm)],[975])).
% fof(4421, plain,?[X38]:?[X39]:v_z=c_Complex_Ocomplex_OComplex(X38,X39),inference(variable_rename,[status(thm)],[4420])).
% fof(4422, plain,v_z=c_Complex_Ocomplex_OComplex(esk9_0,esk10_0),inference(skolemize,[status(esa)],[4421])).
% cnf(4423,plain,(v_z=c_Complex_Ocomplex_OComplex(esk9_0,esk10_0)),inference(split_conjunct,[status(thm)],[4422])).
% cnf(5082,negated_conjecture,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),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),v_y____),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[1312])).
% cnf(5094,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)],[1326,1578,theory(equality)]),['unfolding']).
% cnf(5109,plain,(c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,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)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X2),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_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1763,1578,theory(equality)]),1578,theory(equality)]),['unfolding']).
% cnf(5242,negated_conjecture,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),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),v_y____),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_Oone__class_Oone(tc_RealDef_Oreal)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[5082,1578,theory(equality)]),1578,theory(equality)]),['unfolding']).
% cnf(5395,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)],[5094,1433,theory(equality)]),1433,theory(equality)]),['unfolding']).
% cnf(5410,plain,(c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,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)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X2),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_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5109,1433,theory(equality)]),1433,theory(equality)]),1433,theory(equality)]),1433,theory(equality)]),['unfolding']).
% cnf(5561,negated_conjecture,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),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),v_y____),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_Oone__class_Oone(tc_RealDef_Oreal)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5242,1433,theory(equality)]),1433,theory(equality)]),1433,theory(equality)]),1433,theory(equality)]),['unfolding']).
% cnf(5667,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)],[5395,1613,theory(equality)]),1613,theory(equality)]),1613,theory(equality)]),1613,theory(equality)])).
% cnf(5963,plain,(c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(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))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X2),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_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X2))),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)],[5410,1613,theory(equality)]),1613,theory(equality)]),1613,theory(equality)]),1613,theory(equality)]),5667,theory(equality)]),1613,theory(equality)]),1613,theory(equality)]),1613,theory(equality)]),1613,theory(equality)]),5667,theory(equality)])).
% cnf(6015,negated_conjecture,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_x____),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),v_y____),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)],[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)],[5561,1613,theory(equality)]),1613,theory(equality)]),1613,theory(equality)]),1613,theory(equality)]),5667,theory(equality)]),1613,theory(equality)]),1613,theory(equality)]),1613,theory(equality)]),1613,theory(equality)]),5667,theory(equality)])).
% cnf(6730,plain,(X1=esk10_0|c_Complex_Ocomplex_OComplex(X2,X1)!=v_z),inference(spm,[status(thm)],[2388,4423,theory(equality)])).
% cnf(6741,plain,(X1=esk9_0|c_Complex_Ocomplex_OComplex(X1,X2)!=v_z),inference(spm,[status(thm)],[2389,4423,theory(equality)])).
% cnf(8466,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)],[2060,2617,theory(equality)])).
% cnf(16159,plain,(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Oplus__class_Oplus(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))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X2),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_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X2))!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(spm,[status(thm)],[1657,5963,theory(equality)])).
% cnf(136637,plain,(v_y____=esk10_0),inference(spm,[status(thm)],[6730,2159,theory(equality)])).
% cnf(136680,negated_conjecture,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk10_0),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),v_x____),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)],[inference(rw,[status(thm)],[6015,136637,theory(equality)]),8466,theory(equality)])).
% cnf(136689,plain,(c_Complex_Ocomplex_OComplex(v_x____,esk10_0)=v_z),inference(rw,[status(thm)],[2159,136637,theory(equality)])).
% cnf(137980,plain,(v_x____=esk9_0),inference(spm,[status(thm)],[6741,136689,theory(equality)])).
% cnf(138036,negated_conjecture,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk9_0),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),esk10_0),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)],[inference(rw,[status(thm)],[136680,137980,theory(equality)]),8466,theory(equality)])).
% cnf(1031145,negated_conjecture,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(esk9_0,esk10_0))!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(spm,[status(thm)],[138036,16159,theory(equality)])).
% cnf(1031397,negated_conjecture,($false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1031145,4423,theory(equality)]),2744,theory(equality)])).
% cnf(1031398,negated_conjecture,($false),inference(cn,[status(thm)],[1031397,theory(equality)])).
% cnf(1031399,negated_conjecture,($false),1031398,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 35559
% # ...of these trivial : 1127
% # ...subsumed : 28184
% # ...remaining for further processing: 6248
% # Other redundant clauses eliminated : 888
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 117
% # Backward-rewritten : 167
% # Generated clauses : 510830
% # ...of the previous two non-trivial : 468572
% # Contextual simplify-reflections : 7816
% # Paramodulations : 509695
% # Factorizations : 20
% # Equation resolutions : 1112
% # Current number of processed clauses: 4609
% # Positive orientable unit clauses: 731
% # Positive unorientable unit clauses: 60
% # Negative unit clauses : 216
% # Non-unit-clauses : 3602
% # Current number of unprocessed clauses: 418454
% # ...number of literals in the above : 1214569
% # Clause-clause subsumption calls (NU) : 293874
% # Rec. Clause-clause subsumption calls : 225943
% # Unit Clause-clause subsumption calls : 3766
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 15169
% # Indexed BW rewrite successes : 551
% # Backwards rewriting index: 1253 leaves, 3.04+/-8.058 terms/leaf
% # Paramod-from index: 778 leaves, 2.31+/-4.773 terms/leaf
% # Paramod-into index: 1151 leaves, 2.81+/-7.218 terms/leaf
% # -------------------------------------------------
% # User time : 23.138 s
% # System time : 0.786 s
% # Total time : 23.924 s
% # Maximum resident set size: 0 pages
% PrfWatch: 38.02 CPU 40.94 WC
% FINAL PrfWatch: 38.02 CPU 40.94 WC
% SZS output end Solution for /tmp/SystemOnTPTP11323/SWW192+1.tptp
%
%------------------------------------------------------------------------------