TSTP Solution File: SWW236+1 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWW236+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 01:15:43 EST 2011
% Result : Theorem 167.94s
% Output : Solution 167.94s
% 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/SystemOnTPTP21517/SWW236+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% WARNING: TreeLimitedRun lost 0.98s, total lost is 0.98s
% found
% SZS status THM for /tmp/SystemOnTPTP21517/SWW236+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP21517/SWW236+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 21794
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.92 CPU 2.02 WC
% # Preprocessing time : 0.228 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.93 CPU 4.03 WC
% # SZS output start CNFRefutation.
% fof(4, axiom,![X4]:![X1]:(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X4)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4,X1)),file('/tmp/SRASS.s.p', fact_real__le__linear)).
% fof(6, axiom,c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),file('/tmp/SRASS.s.p', fact_h)).
% fof(8, axiom,![X10]:c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X10)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X10),file('/tmp/SRASS.s.p', fact_real__norm__def)).
% fof(14, axiom,![X4]:![X1]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4),X1),file('/tmp/SRASS.s.p', fact_real__mult__commute)).
% fof(23, axiom,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_c____)),file('/tmp/SRASS.s.p', fact__0960_A_060_Acmod_Ac_096)).
% fof(46, axiom,![X2]:![X3]:![X13]:(class_RealVector_Oreal__normed__div__algebra(X13)=>c_RealVector_Onorm__class_Onorm(X13,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X13),X3),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X13,X3)),c_RealVector_Onorm__class_Onorm(X13,X2))),file('/tmp/SRASS.s.p', fact_norm__mult)).
% fof(190, axiom,class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),file('/tmp/SRASS.s.p', arity_Complex__Ocomplex__Rings_Ocomm__semiring__1)).
% fof(200, axiom,class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),file('/tmp/SRASS.s.p', arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra)).
% fof(263, axiom,![X12]:![X11]:![X13]:(class_Rings_Ocomm__semiring__1(X13)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X13),X11),X12)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X13),X12),X11)),file('/tmp/SRASS.s.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J)).
% fof(324, axiom,class_Fields_Olinordered__field(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Fields_Olinordered__field)).
% fof(339, axiom,class_Orderings_Opreorder(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Orderings_Opreorder)).
% fof(770, axiom,![X33]:![X32]:![X34]:![X13]:(class_Fields_Olinordered__field(X13)=>(c_Orderings_Oord__class_Oless(X13,c_Groups_Ozero__class_Ozero(X13),X34)=>(c_Orderings_Oord__class_Oless__eq(X13,c_Rings_Oinverse__class_Odivide(X13,X32,X34),X33)<=>c_Orderings_Oord__class_Oless__eq(X13,X32,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X13),X33),X34))))),file('/tmp/SRASS.s.p', fact_pos__divide__le__eq)).
% fof(947, axiom,![X22]:![X23]:![X13]:(class_Orderings_Opreorder(X13)=>(c_Orderings_Oord__class_Oless(X13,X23,X22)<=>(c_Orderings_Oord__class_Oless__eq(X13,X23,X22)&~(c_Orderings_Oord__class_Oless__eq(X13,X22,X23))))),file('/tmp/SRASS.s.p', fact_less__le__not__le)).
% fof(1266, conjecture,c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),file('/tmp/SRASS.s.p', conj_0)).
% fof(1267, negated_conjecture,~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)))),inference(assume_negation,[status(cth)],[1266])).
% fof(1311, plain,![X22]:![X23]:![X13]:(class_Orderings_Opreorder(X13)=>(c_Orderings_Oord__class_Oless(X13,X23,X22)<=>(c_Orderings_Oord__class_Oless__eq(X13,X23,X22)&~(c_Orderings_Oord__class_Oless__eq(X13,X22,X23))))),inference(fof_simplification,[status(thm)],[947,theory(equality)])).
% fof(1327, negated_conjecture,~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)))),inference(fof_simplification,[status(thm)],[1267,theory(equality)])).
% fof(1338, plain,![X5]:![X6]:(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X6,X5)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,X6)),inference(variable_rename,[status(thm)],[4])).
% cnf(1339,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)],[1338])).
% cnf(1342,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(split_conjunct,[status(thm)],[6])).
% fof(1345, plain,![X11]:c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X11)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X11),inference(variable_rename,[status(thm)],[8])).
% cnf(1346,plain,(c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),inference(split_conjunct,[status(thm)],[1345])).
% fof(1367, plain,![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),inference(variable_rename,[status(thm)],[14])).
% cnf(1368,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)],[1367])).
% cnf(1390,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_c____))),inference(split_conjunct,[status(thm)],[23])).
% fof(1475, plain,![X2]:![X3]:![X13]:(~(class_RealVector_Oreal__normed__div__algebra(X13))|c_RealVector_Onorm__class_Onorm(X13,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X13),X3),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X13,X3)),c_RealVector_Onorm__class_Onorm(X13,X2))),inference(fof_nnf,[status(thm)],[46])).
% fof(1476, plain,![X14]:![X15]:![X16]:(~(class_RealVector_Oreal__normed__div__algebra(X16))|c_RealVector_Onorm__class_Onorm(X16,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X16),X15),X14))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X16,X15)),c_RealVector_Onorm__class_Onorm(X16,X14))),inference(variable_rename,[status(thm)],[1475])).
% cnf(1477,plain,(c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2)),c_RealVector_Onorm__class_Onorm(X1,X3))|~class_RealVector_Oreal__normed__div__algebra(X1)),inference(split_conjunct,[status(thm)],[1476])).
% cnf(1994,plain,(class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)),inference(split_conjunct,[status(thm)],[190])).
% cnf(2018,plain,(class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex)),inference(split_conjunct,[status(thm)],[200])).
% fof(2139, plain,![X12]:![X11]:![X13]:(~(class_Rings_Ocomm__semiring__1(X13))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X13),X11),X12)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X13),X12),X11)),inference(fof_nnf,[status(thm)],[263])).
% fof(2140, plain,![X14]:![X15]:![X16]:(~(class_Rings_Ocomm__semiring__1(X16))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X16),X15),X14)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X16),X14),X15)),inference(variable_rename,[status(thm)],[2139])).
% cnf(2141,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)|~class_Rings_Ocomm__semiring__1(X1)),inference(split_conjunct,[status(thm)],[2140])).
% cnf(2280,plain,(class_Fields_Olinordered__field(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[324])).
% cnf(2295,plain,(class_Orderings_Opreorder(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[339])).
% fof(3751, plain,![X33]:![X32]:![X34]:![X13]:(~(class_Fields_Olinordered__field(X13))|(~(c_Orderings_Oord__class_Oless(X13,c_Groups_Ozero__class_Ozero(X13),X34))|((~(c_Orderings_Oord__class_Oless__eq(X13,c_Rings_Oinverse__class_Odivide(X13,X32,X34),X33))|c_Orderings_Oord__class_Oless__eq(X13,X32,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X13),X33),X34)))&(~(c_Orderings_Oord__class_Oless__eq(X13,X32,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X13),X33),X34)))|c_Orderings_Oord__class_Oless__eq(X13,c_Rings_Oinverse__class_Odivide(X13,X32,X34),X33))))),inference(fof_nnf,[status(thm)],[770])).
% fof(3752, plain,![X35]:![X36]:![X37]:![X38]:(~(class_Fields_Olinordered__field(X38))|(~(c_Orderings_Oord__class_Oless(X38,c_Groups_Ozero__class_Ozero(X38),X37))|((~(c_Orderings_Oord__class_Oless__eq(X38,c_Rings_Oinverse__class_Odivide(X38,X36,X37),X35))|c_Orderings_Oord__class_Oless__eq(X38,X36,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X38),X35),X37)))&(~(c_Orderings_Oord__class_Oless__eq(X38,X36,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X38),X35),X37)))|c_Orderings_Oord__class_Oless__eq(X38,c_Rings_Oinverse__class_Odivide(X38,X36,X37),X35))))),inference(variable_rename,[status(thm)],[3751])).
% fof(3753, plain,![X35]:![X36]:![X37]:![X38]:((((~(c_Orderings_Oord__class_Oless__eq(X38,c_Rings_Oinverse__class_Odivide(X38,X36,X37),X35))|c_Orderings_Oord__class_Oless__eq(X38,X36,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X38),X35),X37)))|~(c_Orderings_Oord__class_Oless(X38,c_Groups_Ozero__class_Ozero(X38),X37)))|~(class_Fields_Olinordered__field(X38)))&(((~(c_Orderings_Oord__class_Oless__eq(X38,X36,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X38),X35),X37)))|c_Orderings_Oord__class_Oless__eq(X38,c_Rings_Oinverse__class_Odivide(X38,X36,X37),X35))|~(c_Orderings_Oord__class_Oless(X38,c_Groups_Ozero__class_Ozero(X38),X37)))|~(class_Fields_Olinordered__field(X38)))),inference(distribute,[status(thm)],[3752])).
% cnf(3755,plain,(c_Orderings_Oord__class_Oless__eq(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),X4)),inference(split_conjunct,[status(thm)],[3753])).
% fof(4316, plain,![X22]:![X23]:![X13]:(~(class_Orderings_Opreorder(X13))|((~(c_Orderings_Oord__class_Oless(X13,X23,X22))|(c_Orderings_Oord__class_Oless__eq(X13,X23,X22)&~(c_Orderings_Oord__class_Oless__eq(X13,X22,X23))))&((~(c_Orderings_Oord__class_Oless__eq(X13,X23,X22))|c_Orderings_Oord__class_Oless__eq(X13,X22,X23))|c_Orderings_Oord__class_Oless(X13,X23,X22)))),inference(fof_nnf,[status(thm)],[1311])).
% fof(4317, plain,![X24]:![X25]:![X26]:(~(class_Orderings_Opreorder(X26))|((~(c_Orderings_Oord__class_Oless(X26,X25,X24))|(c_Orderings_Oord__class_Oless__eq(X26,X25,X24)&~(c_Orderings_Oord__class_Oless__eq(X26,X24,X25))))&((~(c_Orderings_Oord__class_Oless__eq(X26,X25,X24))|c_Orderings_Oord__class_Oless__eq(X26,X24,X25))|c_Orderings_Oord__class_Oless(X26,X25,X24)))),inference(variable_rename,[status(thm)],[4316])).
% fof(4318, plain,![X24]:![X25]:![X26]:((((c_Orderings_Oord__class_Oless__eq(X26,X25,X24)|~(c_Orderings_Oord__class_Oless(X26,X25,X24)))|~(class_Orderings_Opreorder(X26)))&((~(c_Orderings_Oord__class_Oless__eq(X26,X24,X25))|~(c_Orderings_Oord__class_Oless(X26,X25,X24)))|~(class_Orderings_Opreorder(X26))))&(((~(c_Orderings_Oord__class_Oless__eq(X26,X25,X24))|c_Orderings_Oord__class_Oless__eq(X26,X24,X25))|c_Orderings_Oord__class_Oless(X26,X25,X24))|~(class_Orderings_Opreorder(X26)))),inference(distribute,[status(thm)],[4317])).
% cnf(4319,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)],[4318])).
% cnf(4320,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)],[4318])).
% cnf(5292,negated_conjecture,(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)))),inference(split_conjunct,[status(thm)],[1327])).
% cnf(5503,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_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)))),inference(rw,[status(thm)],[5292,1346,theory(equality)])).
% cnf(5504,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),inference(rw,[status(thm)],[1342,1346,theory(equality)])).
% cnf(5779,negated_conjecture,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)))),inference(spm,[status(thm)],[5503,1339,theory(equality)])).
% cnf(9954,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2),X1)),inference(spm,[status(thm)],[2141,1994,theory(equality)])).
% cnf(12987,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2))=c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),X2))),inference(spm,[status(thm)],[1477,2018,theory(equality)])).
% cnf(27903,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)))|~class_Fields_Olinordered__field(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_c____))),inference(spm,[status(thm)],[3755,5504,theory(equality)])).
% cnf(27921,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)))|$false|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____))),inference(rw,[status(thm)],[27903,2280,theory(equality)])).
% cnf(27922,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)))|$false|$false),inference(rw,[status(thm)],[27921,1390,theory(equality)])).
% cnf(27923,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)))),inference(cn,[status(thm)],[27922,theory(equality)])).
% cnf(86895,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)))),inference(rw,[status(thm)],[27923,1368,theory(equality)])).
% cnf(86896,plain,(~class_Orderings_Opreorder(tc_RealDef_Oreal)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)))),inference(spm,[status(thm)],[4320,86895,theory(equality)])).
% cnf(86912,plain,($false|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)))),inference(rw,[status(thm)],[86896,2295,theory(equality)])).
% cnf(86913,plain,(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)))),inference(cn,[status(thm)],[86912,theory(equality)])).
% cnf(87521,negated_conjecture,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)))|~class_Orderings_Opreorder(tc_RealDef_Oreal)),inference(spm,[status(thm)],[4319,5779,theory(equality)])).
% cnf(87539,negated_conjecture,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)))|$false),inference(rw,[status(thm)],[87521,2295,theory(equality)])).
% cnf(87540,negated_conjecture,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)))),inference(cn,[status(thm)],[87539,theory(equality)])).
% cnf(87541,negated_conjecture,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)))),inference(sr,[status(thm)],[87540,5503,theory(equality)])).
% cnf(103495,plain,(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_c____),v_z____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)))),inference(rw,[status(thm)],[86913,12987,theory(equality)])).
% cnf(114054,negated_conjecture,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_c____),v_z____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)))),inference(rw,[status(thm)],[87541,9954,theory(equality)])).
% cnf(114055,negated_conjecture,($false),inference(sr,[status(thm)],[114054,103495,theory(equality)])).
% cnf(114056,negated_conjecture,($false),114055,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 5043
% # ...of these trivial : 101
% # ...subsumed : 1450
% # ...remaining for further processing: 3492
% # Other redundant clauses eliminated : 229
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 16
% # Backward-rewritten : 147
% # Generated clauses : 54118
% # ...of the previous two non-trivial : 49220
% # Contextual simplify-reflections : 148
% # Paramodulations : 53839
% # Factorizations : 10
% # Equation resolutions : 269
% # Current number of processed clauses: 1806
% # Positive orientable unit clauses: 370
% # Positive unorientable unit clauses: 15
% # Negative unit clauses : 73
% # Non-unit-clauses : 1348
% # Current number of unprocessed clauses: 45361
% # ...number of literals in the above : 150076
% # Clause-clause subsumption calls (NU) : 61951
% # Rec. Clause-clause subsumption calls : 34912
% # Unit Clause-clause subsumption calls : 1363
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 2224
% # Indexed BW rewrite successes : 237
% # Backwards rewriting index: 1110 leaves, 2.26+/-3.990 terms/leaf
% # Paramod-from index: 571 leaves, 1.56+/-2.010 terms/leaf
% # Paramod-into index: 1008 leaves, 1.91+/-2.933 terms/leaf
% # -------------------------------------------------
% # User time : 2.839 s
% # System time : 0.082 s
% # Total time : 2.921 s
% # Maximum resident set size: 0 pages
% PrfWatch: 4.78 CPU 4.90 WC
% FINAL PrfWatch: 4.78 CPU 4.90 WC
% SZS output end Solution for /tmp/SystemOnTPTP21517/SWW236+1.tptp
%
%------------------------------------------------------------------------------