TSTP Solution File: SWW258+1 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWW258+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 : art09.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Mon Mar 7 01:33:23 EST 2011
% Result : Theorem 185.83s
% Output : Solution 185.83s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP18765/SWW258+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% WARNING: TreeLimitedRun lost 0.79s, total lost is 0.79s
% found
% SZS status THM for /tmp/SystemOnTPTP18765/SWW258+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP18765/SWW258+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 18997
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.91 CPU 2.01 WC
% PrfWatch: 3.90 CPU 4.01 WC
% PrfWatch: 5.89 CPU 6.02 WC
% PrfWatch: 7.88 CPU 8.02 WC
% PrfWatch: 9.87 CPU 10.03 WC
% PrfWatch: 11.86 CPU 12.03 WC
% PrfWatch: 13.85 CPU 14.04 WC
% PrfWatch: 15.83 CPU 16.04 WC
% PrfWatch: 17.83 CPU 18.05 WC
% # Preprocessing time : 0.205 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 19.82 CPU 20.05 WC
% PrfWatch: 21.81 CPU 22.06 WC
% PrfWatch: 23.81 CPU 24.06 WC
% PrfWatch: 25.80 CPU 26.07 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),file('/tmp/SRASS.s.p', fact_m_I1_J)).
% fof(6, axiom,![X2]:![X4]:(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4)=>(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)=>c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4),X2)))),file('/tmp/SRASS.s.p', fact_real__mult__order)).
% fof(39, axiom,c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),file('/tmp/SRASS.s.p', fact__0960_A_060_061_Acmod_Aw_096)).
% fof(56, axiom,~(v_w____=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),file('/tmp/SRASS.s.p', fact_w0)).
% fof(72, axiom,![X20]:![X11]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X11),X20)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X20),X11),file('/tmp/SRASS.s.p', fact_real__mult__commute)).
% fof(103, axiom,![X5]:![X26]:![X27]:(class_Rings_Olinordered__semidom(X27)=>(c_Orderings_Oord__class_Oless(X27,c_Groups_Ozero__class_Ozero(X27),X26)=>c_Orderings_Oord__class_Oless(X27,c_Groups_Ozero__class_Ozero(X27),hAPP(hAPP(c_Power_Opower__class_Opower(X27),X26),X5)))),file('/tmp/SRASS.s.p', fact_zero__less__power)).
% fof(178, axiom,![X24]:![X27]:(class_Fields_Olinordered__field__inverse__zero(X27)=>(c_Orderings_Oord__class_Oless(X27,c_Groups_Ozero__class_Ozero(X27),c_Rings_Oinverse__class_Oinverse(X27,X24))<=>c_Orderings_Oord__class_Oless(X27,c_Groups_Ozero__class_Ozero(X27),X24))),file('/tmp/SRASS.s.p', fact_inverse__positive__iff__positive)).
% fof(448, axiom,![X9]:![X27]:(class_RealVector_Oreal__normed__vector(X27)=>(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X27,X9),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))<=>X9=c_Groups_Ozero__class_Ozero(X27))),file('/tmp/SRASS.s.p', fact_norm__le__zero__iff)).
% fof(570, axiom,class_Rings_Olinordered__semidom(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Rings_Olinordered__semidom)).
% fof(581, axiom,class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),file('/tmp/SRASS.s.p', arity_Complex__Ocomplex__RealVector_Oreal__normed__vector)).
% fof(622, axiom,class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero)).
% fof(655, axiom,class_Orderings_Opreorder(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Orderings_Opreorder)).
% fof(1049, axiom,![X8]:![X9]:![X27]:(class_Orderings_Opreorder(X27)=>(c_Orderings_Oord__class_Oless(X27,X9,X8)<=>(c_Orderings_Oord__class_Oless__eq(X27,X9,X8)&~(c_Orderings_Oord__class_Oless__eq(X27,X8,X9))))),file('/tmp/SRASS.s.p', fact_less__le__not__le)).
% fof(1272, conjecture,c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),file('/tmp/SRASS.s.p', conj_0)).
% fof(1273, negated_conjecture,~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))),inference(assume_negation,[status(cth)],[1272])).
% fof(1342, plain,![X8]:![X9]:![X27]:(class_Orderings_Opreorder(X27)=>(c_Orderings_Oord__class_Oless(X27,X9,X8)<=>(c_Orderings_Oord__class_Oless__eq(X27,X9,X8)&~(c_Orderings_Oord__class_Oless__eq(X27,X8,X9))))),inference(fof_simplification,[status(thm)],[1049,theory(equality)])).
% fof(1355, negated_conjecture,~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))),inference(fof_simplification,[status(thm)],[1273,theory(equality)])).
% cnf(1356,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____)),inference(split_conjunct,[status(thm)],[1])).
% fof(1371, plain,![X2]:![X4]:(~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4))|(~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4),X2)))),inference(fof_nnf,[status(thm)],[6])).
% fof(1372, plain,![X5]:![X6]:(~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X6))|(~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X5))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X6),X5)))),inference(variable_rename,[status(thm)],[1371])).
% cnf(1373,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)),inference(split_conjunct,[status(thm)],[1372])).
% cnf(1490,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))),inference(split_conjunct,[status(thm)],[39])).
% cnf(1553,plain,(v_w____!=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),inference(split_conjunct,[status(thm)],[56])).
% fof(1602, plain,![X21]:![X22]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X22),X21)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X21),X22),inference(variable_rename,[status(thm)],[72])).
% cnf(1603,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)],[1602])).
% fof(1704, plain,![X5]:![X26]:![X27]:(~(class_Rings_Olinordered__semidom(X27))|(~(c_Orderings_Oord__class_Oless(X27,c_Groups_Ozero__class_Ozero(X27),X26))|c_Orderings_Oord__class_Oless(X27,c_Groups_Ozero__class_Ozero(X27),hAPP(hAPP(c_Power_Opower__class_Opower(X27),X26),X5)))),inference(fof_nnf,[status(thm)],[103])).
% fof(1705, plain,![X28]:![X29]:![X30]:(~(class_Rings_Olinordered__semidom(X30))|(~(c_Orderings_Oord__class_Oless(X30,c_Groups_Ozero__class_Ozero(X30),X29))|c_Orderings_Oord__class_Oless(X30,c_Groups_Ozero__class_Ozero(X30),hAPP(hAPP(c_Power_Opower__class_Opower(X30),X29),X28)))),inference(variable_rename,[status(thm)],[1704])).
% cnf(1706,plain,(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Rings_Olinordered__semidom(X1)),inference(split_conjunct,[status(thm)],[1705])).
% fof(1966, plain,![X24]:![X27]:(~(class_Fields_Olinordered__field__inverse__zero(X27))|((~(c_Orderings_Oord__class_Oless(X27,c_Groups_Ozero__class_Ozero(X27),c_Rings_Oinverse__class_Oinverse(X27,X24)))|c_Orderings_Oord__class_Oless(X27,c_Groups_Ozero__class_Ozero(X27),X24))&(~(c_Orderings_Oord__class_Oless(X27,c_Groups_Ozero__class_Ozero(X27),X24))|c_Orderings_Oord__class_Oless(X27,c_Groups_Ozero__class_Ozero(X27),c_Rings_Oinverse__class_Oinverse(X27,X24))))),inference(fof_nnf,[status(thm)],[178])).
% fof(1967, plain,![X28]:![X29]:(~(class_Fields_Olinordered__field__inverse__zero(X29))|((~(c_Orderings_Oord__class_Oless(X29,c_Groups_Ozero__class_Ozero(X29),c_Rings_Oinverse__class_Oinverse(X29,X28)))|c_Orderings_Oord__class_Oless(X29,c_Groups_Ozero__class_Ozero(X29),X28))&(~(c_Orderings_Oord__class_Oless(X29,c_Groups_Ozero__class_Ozero(X29),X28))|c_Orderings_Oord__class_Oless(X29,c_Groups_Ozero__class_Ozero(X29),c_Rings_Oinverse__class_Oinverse(X29,X28))))),inference(variable_rename,[status(thm)],[1966])).
% fof(1968, plain,![X28]:![X29]:(((~(c_Orderings_Oord__class_Oless(X29,c_Groups_Ozero__class_Ozero(X29),c_Rings_Oinverse__class_Oinverse(X29,X28)))|c_Orderings_Oord__class_Oless(X29,c_Groups_Ozero__class_Ozero(X29),X28))|~(class_Fields_Olinordered__field__inverse__zero(X29)))&((~(c_Orderings_Oord__class_Oless(X29,c_Groups_Ozero__class_Ozero(X29),X28))|c_Orderings_Oord__class_Oless(X29,c_Groups_Ozero__class_Ozero(X29),c_Rings_Oinverse__class_Oinverse(X29,X28)))|~(class_Fields_Olinordered__field__inverse__zero(X29)))),inference(distribute,[status(thm)],[1967])).
% cnf(1969,plain,(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Oinverse(X1,X2))|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)),inference(split_conjunct,[status(thm)],[1968])).
% fof(2940, plain,![X9]:![X27]:(~(class_RealVector_Oreal__normed__vector(X27))|((~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X27,X9),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|X9=c_Groups_Ozero__class_Ozero(X27))&(~(X9=c_Groups_Ozero__class_Ozero(X27))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X27,X9),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))))),inference(fof_nnf,[status(thm)],[448])).
% fof(2941, plain,![X28]:![X29]:(~(class_RealVector_Oreal__normed__vector(X29))|((~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X29,X28),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|X28=c_Groups_Ozero__class_Ozero(X29))&(~(X28=c_Groups_Ozero__class_Ozero(X29))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X29,X28),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))))),inference(variable_rename,[status(thm)],[2940])).
% fof(2942, plain,![X28]:![X29]:(((~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X29,X28),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|X28=c_Groups_Ozero__class_Ozero(X29))|~(class_RealVector_Oreal__normed__vector(X29)))&((~(X28=c_Groups_Ozero__class_Ozero(X29))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X29,X28),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|~(class_RealVector_Oreal__normed__vector(X29)))),inference(distribute,[status(thm)],[2941])).
% cnf(2944,plain,(X2=c_Groups_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__vector(X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),inference(split_conjunct,[status(thm)],[2942])).
% cnf(3276,plain,(class_Rings_Olinordered__semidom(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[570])).
% cnf(3287,plain,(class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)),inference(split_conjunct,[status(thm)],[581])).
% cnf(3343,plain,(class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[622])).
% cnf(3376,plain,(class_Orderings_Opreorder(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[655])).
% fof(4613, plain,![X8]:![X9]:![X27]:(~(class_Orderings_Opreorder(X27))|((~(c_Orderings_Oord__class_Oless(X27,X9,X8))|(c_Orderings_Oord__class_Oless__eq(X27,X9,X8)&~(c_Orderings_Oord__class_Oless__eq(X27,X8,X9))))&((~(c_Orderings_Oord__class_Oless__eq(X27,X9,X8))|c_Orderings_Oord__class_Oless__eq(X27,X8,X9))|c_Orderings_Oord__class_Oless(X27,X9,X8)))),inference(fof_nnf,[status(thm)],[1342])).
% fof(4614, plain,![X28]:![X29]:![X30]:(~(class_Orderings_Opreorder(X30))|((~(c_Orderings_Oord__class_Oless(X30,X29,X28))|(c_Orderings_Oord__class_Oless__eq(X30,X29,X28)&~(c_Orderings_Oord__class_Oless__eq(X30,X28,X29))))&((~(c_Orderings_Oord__class_Oless__eq(X30,X29,X28))|c_Orderings_Oord__class_Oless__eq(X30,X28,X29))|c_Orderings_Oord__class_Oless(X30,X29,X28)))),inference(variable_rename,[status(thm)],[4613])).
% fof(4615, plain,![X28]:![X29]:![X30]:((((c_Orderings_Oord__class_Oless__eq(X30,X29,X28)|~(c_Orderings_Oord__class_Oless(X30,X29,X28)))|~(class_Orderings_Opreorder(X30)))&((~(c_Orderings_Oord__class_Oless__eq(X30,X28,X29))|~(c_Orderings_Oord__class_Oless(X30,X29,X28)))|~(class_Orderings_Opreorder(X30))))&(((~(c_Orderings_Oord__class_Oless__eq(X30,X29,X28))|c_Orderings_Oord__class_Oless__eq(X30,X28,X29))|c_Orderings_Oord__class_Oless(X30,X29,X28))|~(class_Orderings_Opreorder(X30)))),inference(distribute,[status(thm)],[4614])).
% cnf(4616,plain,(c_Orderings_Oord__class_Oless(X1,X2,X3)|c_Orderings_Oord__class_Oless__eq(X1,X3,X2)|~class_Orderings_Opreorder(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)),inference(split_conjunct,[status(thm)],[4615])).
% cnf(5232,negated_conjecture,(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))),inference(split_conjunct,[status(thm)],[1355])).
% cnf(5944,negated_conjecture,(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))),inference(rw,[status(thm)],[5232,1603,theory(equality)])).
% cnf(11631,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)),inference(spm,[status(thm)],[1969,3343,theory(equality)])).
% cnf(24559,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))|~class_Orderings_Opreorder(tc_RealDef_Oreal)),inference(spm,[status(thm)],[4616,1490,theory(equality)])).
% cnf(24684,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))|$false),inference(rw,[status(thm)],[24559,3376,theory(equality)])).
% cnf(24685,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))),inference(cn,[status(thm)],[24684,theory(equality)])).
% cnf(74215,plain,(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=v_w____|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))|~class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)),inference(spm,[status(thm)],[2944,24685,theory(equality)])).
% cnf(74250,plain,(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=v_w____|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))|$false),inference(rw,[status(thm)],[74215,3287,theory(equality)])).
% cnf(74251,plain,(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=v_w____|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))),inference(cn,[status(thm)],[74250,theory(equality)])).
% cnf(74252,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))),inference(sr,[status(thm)],[74251,1553,theory(equality)])).
% cnf(593380,negated_conjecture,(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),inference(spm,[status(thm)],[5944,11631,theory(equality)])).
% cnf(593489,negated_conjecture,(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____)),inference(spm,[status(thm)],[593380,1373,theory(equality)])).
% cnf(593507,negated_conjecture,(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))|$false),inference(rw,[status(thm)],[593489,1356,theory(equality)])).
% cnf(593508,negated_conjecture,(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),inference(cn,[status(thm)],[593507,theory(equality)])).
% cnf(593529,negated_conjecture,(~class_Rings_Olinordered__semidom(tc_RealDef_Oreal)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))),inference(spm,[status(thm)],[593508,1706,theory(equality)])).
% cnf(593550,negated_conjecture,($false|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))),inference(rw,[status(thm)],[593529,3276,theory(equality)])).
% cnf(593551,negated_conjecture,($false|$false),inference(rw,[status(thm)],[593550,74252,theory(equality)])).
% cnf(593552,negated_conjecture,($false),inference(cn,[status(thm)],[593551,theory(equality)])).
% cnf(593553,negated_conjecture,($false),593552,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 41528
% # ...of these trivial : 513
% # ...subsumed : 36109
% # ...remaining for further processing: 4906
% # Other redundant clauses eliminated : 790
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 143
% # Backward-rewritten : 133
% # Generated clauses : 347530
% # ...of the previous two non-trivial : 318462
% # Contextual simplify-reflections : 12452
% # Paramodulations : 346565
% # Factorizations : 23
% # Equation resolutions : 939
% # Current number of processed clauses: 4586
% # Positive orientable unit clauses: 628
% # Positive unorientable unit clauses: 40
% # Negative unit clauses : 436
% # Non-unit-clauses : 3482
% # Current number of unprocessed clauses: 265993
% # ...number of literals in the above : 795713
% # Clause-clause subsumption calls (NU) : 749956
% # Rec. Clause-clause subsumption calls : 631119
% # Unit Clause-clause subsumption calls : 10089
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 15199
% # Indexed BW rewrite successes : 806
% # Backwards rewriting index: 1516 leaves, 2.87+/-8.935 terms/leaf
% # Paramod-from index: 785 leaves, 2.05+/-4.722 terms/leaf
% # Paramod-into index: 1369 leaves, 2.67+/-8.255 terms/leaf
% # -------------------------------------------------
% # User time : 18.127 s
% # System time : 0.513 s
% # Total time : 18.640 s
% # Maximum resident set size: 0 pages
% PrfWatch: 26.59 CPU 26.86 WC
% FINAL PrfWatch: 26.59 CPU 26.86 WC
% SZS output end Solution for /tmp/SystemOnTPTP18765/SWW258+1.tptp
%
%------------------------------------------------------------------------------