TSTP Solution File: SWW180+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWW180+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 : art07.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 00:30:48 EST 2011
% Result : Theorem 176.02s
% Output : Solution 176.02s
% 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/SystemOnTPTP20129/SWW180+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% WARNING: TreeLimitedRun lost 0.73s, total lost is 0.73s
% found
% SZS status THM for /tmp/SystemOnTPTP20129/SWW180+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP20129/SWW180+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 20325
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.92 CPU 4.01 WC
% PrfWatch: 5.74 CPU 6.07 WC
% PrfWatch: 7.30 CPU 8.07 WC
% PrfWatch: 8.68 CPU 10.08 WC
% # Preprocessing time : 0.211 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 10.67 CPU 12.08 WC
% PrfWatch: 12.67 CPU 14.09 WC
% # SZS output start CNFRefutation.
% fof(3, axiom,![X2]:![X1]:(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)),file('/tmp/SRASS.s.p', fact_real__le__linear)).
% fof(4, axiom,![X3]:![X4]:![X5]:(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,X4)=>(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4,X3)=>c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,X3))),file('/tmp/SRASS.s.p', fact_real__le__trans)).
% fof(5, axiom,![X1]:![X6]:![X7]:(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7,X6)=>c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X7),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X6))),file('/tmp/SRASS.s.p', fact_real__add__left__mono)).
% fof(18, axiom,c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r),file('/tmp/SRASS.s.p', fact_rp)).
% fof(58, axiom,![X25]:![X17]:![X11]:(class_Rings_Ocomm__semiring__1(X11)=>c_Groups_Oplus__class_Oplus(X11,X17,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),X25),X17))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),c_Groups_Oplus__class_Oplus(X11,X25,c_Groups_Oone__class_Oone(X11))),X17)),file('/tmp/SRASS.s.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J)).
% fof(71, axiom,c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),v_z____)),v_m____),file('/tmp/SRASS.s.p', fact_th)).
% fof(97, axiom,![X25]:![X11]:(class_Rings_Ocomm__semiring__1(X11)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),X25),c_Groups_Oone__class_Oone(X11))=X25),file('/tmp/SRASS.s.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J)).
% fof(99, axiom,![X24]:![X25]:![X11]:(class_Rings_Olinordered__idom(X11)=>c_Groups_Oabs__class_Oabs(X11,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),X25),X24))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),c_Groups_Oabs__class_Oabs(X11,X25)),c_Groups_Oabs__class_Oabs(X11,X24))),file('/tmp/SRASS.s.p', fact_abs__mult)).
% fof(103, axiom,![X39]:![X34]:![X36]:![X40]:![X35]:![X11]:(class_Rings_Oordered__ring(X11)=>(c_Orderings_Oord__class_Oless__eq(X11,c_Groups_Oplus__class_Oplus(X11,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),X35),X40),X36),c_Groups_Oplus__class_Oplus(X11,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),X34),X40),X39))<=>c_Orderings_Oord__class_Oless__eq(X11,X36,c_Groups_Oplus__class_Oplus(X11,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),c_Groups_Ominus__class_Ominus(X11,X34,X35)),X40),X39)))),file('/tmp/SRASS.s.p', fact_le__add__iff2)).
% fof(106, axiom,![X7]:![X11]:(class_RealVector_Oreal__normed__vector(X11)=>c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X11,X7))),file('/tmp/SRASS.s.p', fact_norm__ge__zero)).
% fof(215, axiom,![X21]:![X25]:![X11]:(class_Rings_Ocomm__semiring__1(X11)=>c_Groups_Oplus__class_Oplus(X11,X25,X21)=c_Groups_Oplus__class_Oplus(X11,X21,X25)),file('/tmp/SRASS.s.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J)).
% fof(226, axiom,class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__RealVector_Oreal__normed__algebra)).
% fof(239, axiom,![X25]:![X11]:(class_Rings_Olinordered__semidom(X11)=>c_Orderings_Oord__class_Oless(X11,X25,c_Groups_Oplus__class_Oplus(X11,X25,c_Groups_Oone__class_Oone(X11)))),file('/tmp/SRASS.s.p', fact_less__add__one)).
% fof(254, axiom,class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),file('/tmp/SRASS.s.p', arity_Complex__Ocomplex__RealVector_Oreal__normed__vector)).
% fof(323, axiom,class_Rings_Olinordered__idom(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Rings_Olinordered__idom)).
% fof(324, axiom,class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Rings_Ocomm__semiring__1)).
% fof(340, 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(353, axiom,class_Rings_Olinordered__semidom(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Rings_Olinordered__semidom)).
% fof(366, axiom,class_Rings_Oordered__ring(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Rings_Oordered__ring)).
% fof(367, axiom,class_Orderings_Opreorder(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Orderings_Opreorder)).
% fof(373, axiom,class_Groups_Ogroup__add(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Groups_Ogroup__add)).
% fof(512, axiom,![X6]:![X11]:(class_RealVector_Oreal__normed__algebra(X11)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),c_Groups_Ozero__class_Ozero(X11)),X6)=c_Groups_Ozero__class_Ozero(X11)),file('/tmp/SRASS.s.p', fact_mult__left_Ozero)).
% fof(516, axiom,![X25]:![X11]:(class_Groups_Oordered__ab__group__add__abs(X11)=>(c_Orderings_Oord__class_Oless__eq(X11,c_Groups_Ozero__class_Ozero(X11),X25)=>c_Groups_Oabs__class_Oabs(X11,X25)=X25)),file('/tmp/SRASS.s.p', fact_abs__of__nonneg)).
% fof(664, axiom,![X25]:![X11]:(class_Rings_Ocomm__semiring__1(X11)=>c_Groups_Oplus__class_Oplus(X11,c_Groups_Ozero__class_Ozero(X11),X25)=X25),file('/tmp/SRASS.s.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J)).
% fof(826, axiom,![X27]:![X23]:![X11]:(class_Orderings_Opreorder(X11)=>(c_Orderings_Oord__class_Oless(X11,X23,X27)<=>(c_Orderings_Oord__class_Oless__eq(X11,X23,X27)&~(c_Orderings_Oord__class_Oless__eq(X11,X27,X23))))),file('/tmp/SRASS.s.p', fact_less__le__not__le)).
% fof(1133, axiom,![X25]:![X11]:(class_Groups_Ogroup__add(X11)=>c_Groups_Ominus__class_Ominus(X11,X25,X25)=c_Groups_Ozero__class_Ozero(X11)),file('/tmp/SRASS.s.p', fact_diff__self)).
% fof(1275, conjecture,c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),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_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),file('/tmp/SRASS.s.p', conj_0)).
% fof(1276, negated_conjecture,~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),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_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____))))),inference(assume_negation,[status(cth)],[1275])).
% fof(1311, plain,![X27]:![X23]:![X11]:(class_Orderings_Opreorder(X11)=>(c_Orderings_Oord__class_Oless(X11,X23,X27)<=>(c_Orderings_Oord__class_Oless__eq(X11,X23,X27)&~(c_Orderings_Oord__class_Oless__eq(X11,X27,X23))))),inference(fof_simplification,[status(thm)],[826,theory(equality)])).
% fof(1361, negated_conjecture,~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),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_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____))))),inference(fof_simplification,[status(thm)],[1276,theory(equality)])).
% fof(1366, plain,![X3]:![X4]:(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4,X3)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X4)),inference(variable_rename,[status(thm)],[3])).
% cnf(1367,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)),inference(split_conjunct,[status(thm)],[1366])).
% fof(1368, plain,![X3]:![X4]:![X5]:(~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,X4))|(~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4,X3))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,X3))),inference(fof_nnf,[status(thm)],[4])).
% fof(1369, plain,![X6]:![X7]:![X8]:(~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8,X7))|(~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7,X6))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8,X6))),inference(variable_rename,[status(thm)],[1368])).
% cnf(1370,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3)),inference(split_conjunct,[status(thm)],[1369])).
% fof(1371, plain,![X1]:![X6]:![X7]:(~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7,X6))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X7),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X6))),inference(fof_nnf,[status(thm)],[5])).
% fof(1372, plain,![X8]:![X9]:![X10]:(~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10,X9))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X8,X10),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X8,X9))),inference(variable_rename,[status(thm)],[1371])).
% cnf(1373,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X3))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X3)),inference(split_conjunct,[status(thm)],[1372])).
% cnf(1406,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r)),inference(split_conjunct,[status(thm)],[18])).
% fof(1538, plain,![X25]:![X17]:![X11]:(~(class_Rings_Ocomm__semiring__1(X11))|c_Groups_Oplus__class_Oplus(X11,X17,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),X25),X17))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),c_Groups_Oplus__class_Oplus(X11,X25,c_Groups_Oone__class_Oone(X11))),X17)),inference(fof_nnf,[status(thm)],[58])).
% fof(1539, plain,![X26]:![X27]:![X28]:(~(class_Rings_Ocomm__semiring__1(X28))|c_Groups_Oplus__class_Oplus(X28,X27,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X28),X26),X27))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X28),c_Groups_Oplus__class_Oplus(X28,X26,c_Groups_Oone__class_Oone(X28))),X27)),inference(variable_rename,[status(thm)],[1538])).
% cnf(1540,plain,(c_Groups_Oplus__class_Oplus(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oplus__class_Oplus(X1,X3,c_Groups_Oone__class_Oone(X1))),X2)|~class_Rings_Ocomm__semiring__1(X1)),inference(split_conjunct,[status(thm)],[1539])).
% cnf(1584,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),v_z____)),v_m____)),inference(split_conjunct,[status(thm)],[71])).
% fof(1666, plain,![X25]:![X11]:(~(class_Rings_Ocomm__semiring__1(X11))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),X25),c_Groups_Oone__class_Oone(X11))=X25),inference(fof_nnf,[status(thm)],[97])).
% fof(1667, plain,![X26]:![X27]:(~(class_Rings_Ocomm__semiring__1(X27))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X27),X26),c_Groups_Oone__class_Oone(X27))=X26),inference(variable_rename,[status(thm)],[1666])).
% cnf(1668,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oone__class_Oone(X1))=X2|~class_Rings_Ocomm__semiring__1(X1)),inference(split_conjunct,[status(thm)],[1667])).
% fof(1672, plain,![X24]:![X25]:![X11]:(~(class_Rings_Olinordered__idom(X11))|c_Groups_Oabs__class_Oabs(X11,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),X25),X24))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),c_Groups_Oabs__class_Oabs(X11,X25)),c_Groups_Oabs__class_Oabs(X11,X24))),inference(fof_nnf,[status(thm)],[99])).
% fof(1673, plain,![X26]:![X27]:![X28]:(~(class_Rings_Olinordered__idom(X28))|c_Groups_Oabs__class_Oabs(X28,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X28),X27),X26))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X28),c_Groups_Oabs__class_Oabs(X28,X27)),c_Groups_Oabs__class_Oabs(X28,X26))),inference(variable_rename,[status(thm)],[1672])).
% cnf(1674,plain,(c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X2)),c_Groups_Oabs__class_Oabs(X1,X3))|~class_Rings_Olinordered__idom(X1)),inference(split_conjunct,[status(thm)],[1673])).
% fof(1682, plain,![X39]:![X34]:![X36]:![X40]:![X35]:![X11]:(~(class_Rings_Oordered__ring(X11))|((~(c_Orderings_Oord__class_Oless__eq(X11,c_Groups_Oplus__class_Oplus(X11,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),X35),X40),X36),c_Groups_Oplus__class_Oplus(X11,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),X34),X40),X39)))|c_Orderings_Oord__class_Oless__eq(X11,X36,c_Groups_Oplus__class_Oplus(X11,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),c_Groups_Ominus__class_Ominus(X11,X34,X35)),X40),X39)))&(~(c_Orderings_Oord__class_Oless__eq(X11,X36,c_Groups_Oplus__class_Oplus(X11,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),c_Groups_Ominus__class_Ominus(X11,X34,X35)),X40),X39)))|c_Orderings_Oord__class_Oless__eq(X11,c_Groups_Oplus__class_Oplus(X11,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),X35),X40),X36),c_Groups_Oplus__class_Oplus(X11,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),X34),X40),X39))))),inference(fof_nnf,[status(thm)],[103])).
% fof(1683, plain,![X41]:![X42]:![X43]:![X44]:![X45]:![X46]:(~(class_Rings_Oordered__ring(X46))|((~(c_Orderings_Oord__class_Oless__eq(X46,c_Groups_Oplus__class_Oplus(X46,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X46),X45),X44),X43),c_Groups_Oplus__class_Oplus(X46,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X46),X42),X44),X41)))|c_Orderings_Oord__class_Oless__eq(X46,X43,c_Groups_Oplus__class_Oplus(X46,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X46),c_Groups_Ominus__class_Ominus(X46,X42,X45)),X44),X41)))&(~(c_Orderings_Oord__class_Oless__eq(X46,X43,c_Groups_Oplus__class_Oplus(X46,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X46),c_Groups_Ominus__class_Ominus(X46,X42,X45)),X44),X41)))|c_Orderings_Oord__class_Oless__eq(X46,c_Groups_Oplus__class_Oplus(X46,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X46),X45),X44),X43),c_Groups_Oplus__class_Oplus(X46,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X46),X42),X44),X41))))),inference(variable_rename,[status(thm)],[1682])).
% fof(1684, plain,![X41]:![X42]:![X43]:![X44]:![X45]:![X46]:(((~(c_Orderings_Oord__class_Oless__eq(X46,c_Groups_Oplus__class_Oplus(X46,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X46),X45),X44),X43),c_Groups_Oplus__class_Oplus(X46,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X46),X42),X44),X41)))|c_Orderings_Oord__class_Oless__eq(X46,X43,c_Groups_Oplus__class_Oplus(X46,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X46),c_Groups_Ominus__class_Ominus(X46,X42,X45)),X44),X41)))|~(class_Rings_Oordered__ring(X46)))&((~(c_Orderings_Oord__class_Oless__eq(X46,X43,c_Groups_Oplus__class_Oplus(X46,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X46),c_Groups_Ominus__class_Ominus(X46,X42,X45)),X44),X41)))|c_Orderings_Oord__class_Oless__eq(X46,c_Groups_Oplus__class_Oplus(X46,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X46),X45),X44),X43),c_Groups_Oplus__class_Oplus(X46,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X46),X42),X44),X41)))|~(class_Rings_Oordered__ring(X46)))),inference(distribute,[status(thm)],[1683])).
% cnf(1685,plain,(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4),c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3),X6))|~class_Rings_Oordered__ring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X4,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X5,X2)),X3),X6))),inference(split_conjunct,[status(thm)],[1684])).
% fof(1698, plain,![X7]:![X11]:(~(class_RealVector_Oreal__normed__vector(X11))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X11,X7))),inference(fof_nnf,[status(thm)],[106])).
% fof(1699, plain,![X12]:![X13]:(~(class_RealVector_Oreal__normed__vector(X13))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X13,X12))),inference(variable_rename,[status(thm)],[1698])).
% cnf(1700,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2))|~class_RealVector_Oreal__normed__vector(X1)),inference(split_conjunct,[status(thm)],[1699])).
% fof(2090, plain,![X21]:![X25]:![X11]:(~(class_Rings_Ocomm__semiring__1(X11))|c_Groups_Oplus__class_Oplus(X11,X25,X21)=c_Groups_Oplus__class_Oplus(X11,X21,X25)),inference(fof_nnf,[status(thm)],[215])).
% fof(2091, plain,![X26]:![X27]:![X28]:(~(class_Rings_Ocomm__semiring__1(X28))|c_Groups_Oplus__class_Oplus(X28,X27,X26)=c_Groups_Oplus__class_Oplus(X28,X26,X27)),inference(variable_rename,[status(thm)],[2090])).
% cnf(2092,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)],[2091])).
% cnf(2128,plain,(class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[226])).
% fof(2157, plain,![X25]:![X11]:(~(class_Rings_Olinordered__semidom(X11))|c_Orderings_Oord__class_Oless(X11,X25,c_Groups_Oplus__class_Oplus(X11,X25,c_Groups_Oone__class_Oone(X11)))),inference(fof_nnf,[status(thm)],[239])).
% fof(2158, plain,![X26]:![X27]:(~(class_Rings_Olinordered__semidom(X27))|c_Orderings_Oord__class_Oless(X27,X26,c_Groups_Oplus__class_Oplus(X27,X26,c_Groups_Oone__class_Oone(X27)))),inference(variable_rename,[status(thm)],[2157])).
% cnf(2159,plain,(c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oone__class_Oone(X1)))|~class_Rings_Olinordered__semidom(X1)),inference(split_conjunct,[status(thm)],[2158])).
% cnf(2195,plain,(class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)),inference(split_conjunct,[status(thm)],[254])).
% cnf(2362,plain,(class_Rings_Olinordered__idom(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[323])).
% cnf(2363,plain,(class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[324])).
% cnf(2395,plain,(class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[340])).
% cnf(2408,plain,(class_Rings_Olinordered__semidom(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[353])).
% cnf(2421,plain,(class_Rings_Oordered__ring(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[366])).
% cnf(2422,plain,(class_Orderings_Opreorder(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[367])).
% cnf(2428,plain,(class_Groups_Ogroup__add(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[373])).
% fof(2834, plain,![X6]:![X11]:(~(class_RealVector_Oreal__normed__algebra(X11))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),c_Groups_Ozero__class_Ozero(X11)),X6)=c_Groups_Ozero__class_Ozero(X11)),inference(fof_nnf,[status(thm)],[512])).
% fof(2835, plain,![X12]:![X13]:(~(class_RealVector_Oreal__normed__algebra(X13))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X13),c_Groups_Ozero__class_Ozero(X13)),X12)=c_Groups_Ozero__class_Ozero(X13)),inference(variable_rename,[status(thm)],[2834])).
% cnf(2836,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__algebra(X1)),inference(split_conjunct,[status(thm)],[2835])).
% fof(2849, plain,![X25]:![X11]:(~(class_Groups_Oordered__ab__group__add__abs(X11))|(~(c_Orderings_Oord__class_Oless__eq(X11,c_Groups_Ozero__class_Ozero(X11),X25))|c_Groups_Oabs__class_Oabs(X11,X25)=X25)),inference(fof_nnf,[status(thm)],[516])).
% fof(2850, plain,![X26]:![X27]:(~(class_Groups_Oordered__ab__group__add__abs(X27))|(~(c_Orderings_Oord__class_Oless__eq(X27,c_Groups_Ozero__class_Ozero(X27),X26))|c_Groups_Oabs__class_Oabs(X27,X26)=X26)),inference(variable_rename,[status(thm)],[2849])).
% cnf(2851,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)],[2850])).
% fof(3394, plain,![X25]:![X11]:(~(class_Rings_Ocomm__semiring__1(X11))|c_Groups_Oplus__class_Oplus(X11,c_Groups_Ozero__class_Ozero(X11),X25)=X25),inference(fof_nnf,[status(thm)],[664])).
% fof(3395, plain,![X26]:![X27]:(~(class_Rings_Ocomm__semiring__1(X27))|c_Groups_Oplus__class_Oplus(X27,c_Groups_Ozero__class_Ozero(X27),X26)=X26),inference(variable_rename,[status(thm)],[3394])).
% cnf(3396,plain,(c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X2)=X2|~class_Rings_Ocomm__semiring__1(X1)),inference(split_conjunct,[status(thm)],[3395])).
% fof(3924, plain,![X27]:![X23]:![X11]:(~(class_Orderings_Opreorder(X11))|((~(c_Orderings_Oord__class_Oless(X11,X23,X27))|(c_Orderings_Oord__class_Oless__eq(X11,X23,X27)&~(c_Orderings_Oord__class_Oless__eq(X11,X27,X23))))&((~(c_Orderings_Oord__class_Oless__eq(X11,X23,X27))|c_Orderings_Oord__class_Oless__eq(X11,X27,X23))|c_Orderings_Oord__class_Oless(X11,X23,X27)))),inference(fof_nnf,[status(thm)],[1311])).
% fof(3925, 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)],[3924])).
% fof(3926, 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)],[3925])).
% cnf(3928,plain,(~class_Orderings_Opreorder(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X2)),inference(split_conjunct,[status(thm)],[3926])).
% fof(4832, plain,![X25]:![X11]:(~(class_Groups_Ogroup__add(X11))|c_Groups_Ominus__class_Ominus(X11,X25,X25)=c_Groups_Ozero__class_Ozero(X11)),inference(fof_nnf,[status(thm)],[1133])).
% fof(4833, plain,![X26]:![X27]:(~(class_Groups_Ogroup__add(X27))|c_Groups_Ominus__class_Ominus(X27,X26,X26)=c_Groups_Ozero__class_Ozero(X27)),inference(variable_rename,[status(thm)],[4832])).
% cnf(4834,plain,(c_Groups_Ominus__class_Ominus(X1,X2,X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1)),inference(split_conjunct,[status(thm)],[4833])).
% cnf(5303,negated_conjecture,(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),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_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____))))),inference(split_conjunct,[status(thm)],[1361])).
% cnf(5557,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))),inference(spm,[status(thm)],[1700,2195,theory(equality)])).
% cnf(5631,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,v_m____)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),v_z____)))),inference(spm,[status(thm)],[1370,1584,theory(equality)])).
% cnf(5793,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=X1),inference(spm,[status(thm)],[1668,2363,theory(equality)])).
% cnf(6122,plain,(~class_Orderings_Opreorder(tc_RealDef_Oreal)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X3))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2)),inference(spm,[status(thm)],[3928,1373,theory(equality)])).
% cnf(6188,plain,($false|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X3))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2)),inference(rw,[status(thm)],[6122,2422,theory(equality)])).
% cnf(6189,plain,(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X3))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2)),inference(cn,[status(thm)],[6188,theory(equality)])).
% cnf(6407,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)=X1),inference(spm,[status(thm)],[3396,2363,theory(equality)])).
% cnf(6709,plain,(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),inference(spm,[status(thm)],[4834,2428,theory(equality)])).
% cnf(7109,plain,(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r)=v_r|~class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)),inference(spm,[status(thm)],[2851,1406,theory(equality)])).
% cnf(7145,plain,(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r)=v_r|$false),inference(rw,[status(thm)],[7109,2395,theory(equality)])).
% cnf(7146,plain,(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r)=v_r),inference(cn,[status(thm)],[7145,theory(equality)])).
% cnf(7303,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)],[2092,2363,theory(equality)])).
% cnf(7586,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),inference(spm,[status(thm)],[2836,2128,theory(equality)])).
% cnf(7848,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),inference(spm,[status(thm)],[2159,2408,theory(equality)])).
% cnf(73445,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),X1))|~class_Rings_Olinordered__idom(tc_RealDef_Oreal)),inference(spm,[status(thm)],[1674,7146,theory(equality)])).
% cnf(73502,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),X1))|$false),inference(rw,[status(thm)],[73445,2362,theory(equality)])).
% cnf(73503,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),X1))),inference(cn,[status(thm)],[73502,theory(equality)])).
% cnf(74960,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)|~class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)),inference(spm,[status(thm)],[1540,5793,theory(equality)])).
% cnf(75228,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)|~class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)),inference(rw,[status(thm)],[74960,5793,theory(equality)])).
% cnf(75229,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)|$false),inference(rw,[status(thm)],[75228,2363,theory(equality)])).
% cnf(75230,plain,(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),inference(cn,[status(thm)],[75229,theory(equality)])).
% cnf(93096,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____)),inference(spm,[status(thm)],[5631,5557,theory(equality)])).
% cnf(93124,plain,(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_m____)=v_m____|~class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)),inference(spm,[status(thm)],[2851,93096,theory(equality)])).
% cnf(93162,plain,(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_m____)=v_m____|$false),inference(rw,[status(thm)],[93124,2395,theory(equality)])).
% cnf(93163,plain,(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_m____)=v_m____),inference(cn,[status(thm)],[93162,theory(equality)])).
% cnf(112401,negated_conjecture,(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),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_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[5303,73503,theory(equality)]),93163,theory(equality)])).
% cnf(155435,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),inference(spm,[status(thm)],[7848,75230,theory(equality)])).
% cnf(185183,plain,(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1),X1)),inference(spm,[status(thm)],[6189,155435,theory(equality)])).
% cnf(185419,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),inference(spm,[status(thm)],[185183,1367,theory(equality)])).
% cnf(232792,negated_conjecture,(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[112401,7303,theory(equality)]),7303,theory(equality)])).
% cnf(334940,negated_conjecture,(~class_Rings_Oordered__ring(tc_RealDef_Oreal)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_r,v_r)),v_m____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____))))),inference(spm,[status(thm)],[232792,1685,theory(equality)])).
% cnf(334954,negated_conjecture,($false|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_r,v_r)),v_m____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____))))),inference(rw,[status(thm)],[334940,2421,theory(equality)])).
% cnf(334955,negated_conjecture,($false|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[334954,6709,theory(equality)]),7586,theory(equality)]),6407,theory(equality)]),185419,theory(equality)])).
% cnf(334956,negated_conjecture,($false),inference(cn,[status(thm)],[334955,theory(equality)])).
% cnf(334957,negated_conjecture,($false),334956,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 21457
% # ...of these trivial : 690
% # ...subsumed : 13532
% # ...remaining for further processing: 7235
% # Other redundant clauses eliminated : 262
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 77
% # Backward-rewritten : 3138
% # Generated clauses : 169038
% # ...of the previous two non-trivial : 151211
% # Contextual simplify-reflections : 810
% # Paramodulations : 168691
% # Factorizations : 13
% # Equation resolutions : 329
% # Current number of processed clauses: 3976
% # Positive orientable unit clauses: 962
% # Positive unorientable unit clauses: 16
% # Negative unit clauses : 885
% # Non-unit-clauses : 2113
% # Current number of unprocessed clauses: 102059
% # ...number of literals in the above : 266019
% # Clause-clause subsumption calls (NU) : 126755
% # Rec. Clause-clause subsumption calls : 116884
% # Unit Clause-clause subsumption calls : 176313
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 62714
% # Indexed BW rewrite successes : 10848
% # Backwards rewriting index: 1468 leaves, 3.24+/-16.402 terms/leaf
% # Paramod-from index: 761 leaves, 2.25+/-6.674 terms/leaf
% # Paramod-into index: 1365 leaves, 3.12+/-16.732 terms/leaf
% # -------------------------------------------------
% # User time : 9.879 s
% # System time : 0.288 s
% # Total time : 10.167 s
% # Maximum resident set size: 0 pages
% PrfWatch: 14.45 CPU 15.92 WC
% FINAL PrfWatch: 14.45 CPU 15.92 WC
% SZS output end Solution for /tmp/SystemOnTPTP20129/SWW180+1.tptp
%
%------------------------------------------------------------------------------