TSTP Solution File: SWW207+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWW207+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 : art03.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 00:54:08 EST 2011
% Result : Theorem 170.64s
% Output : Solution 170.64s
% 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/SystemOnTPTP751/SWW207+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% WARNING: TreeLimitedRun lost 0.87s, total lost is 0.87s
% found
% SZS status THM for /tmp/SystemOnTPTP751/SWW207+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP751/SWW207+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 983
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.92 CPU 2.02 WC
% # Preprocessing time : 0.246 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.91 CPU 4.03 WC
% PrfWatch: 5.90 CPU 6.03 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:![X3]:(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),X2))=>(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1))=>hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),X1)))),file('/tmp/SRASS.s.p', fact_real__le__trans)).
% fof(26, axiom,![X9]:(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X9))=>hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X9)),X9))),file('/tmp/SRASS.s.p', fact_ln__less__self)).
% fof(33, axiom,![X5]:![X9]:![X14]:![X17]:(class_Orderings_Oorder(X17)=>(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X17,X14),X9))=>(hBOOL(hAPP(c_Orderings_Oord__class_Oless(X17,X5),X14))=>hBOOL(hAPP(c_Orderings_Oord__class_Oless(X17,X5),X9))))),file('/tmp/SRASS.s.p', fact_xt1_I8_J)).
% fof(42, axiom,![X9]:![X14]:![X17]:(class_Orderings_Olinorder(X17)=>(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X17,X14),X9)))=>hBOOL(hAPP(c_Orderings_Oord__class_Oless(X17,X9),X14)))),file('/tmp/SRASS.s.p', fact_not__leE)).
% fof(48, axiom,![X9]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X9))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X9))),file('/tmp/SRASS.s.p', fact_abs__Im__le__cmod)).
% fof(271, axiom,![X17]:(class_Rings_Olinordered__semidom(X17)=>hBOOL(hAPP(c_Orderings_Oord__class_Oless(X17,c_Groups_Ozero__class_Ozero(X17)),c_Groups_Oone__class_Oone(X17)))),file('/tmp/SRASS.s.p', fact_zero__less__one)).
% fof(289, axiom,![X23]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X23))),v_r)),file('/tmp/SRASS.s.p', fact_assms)).
% fof(291, axiom,![X33]:c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X33)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X33),file('/tmp/SRASS.s.p', fact_real__norm__def)).
% fof(447, axiom,hAPP(c_Complex_OIm,c_Complex_Oii)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', fact_complex__Im__i)).
% fof(452, axiom,?[X24]:(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X24))&![X25]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X25))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X25)),X24)))),file('/tmp/SRASS.s.p', fact_Re_Ononneg__bounded)).
% fof(465, axiom,class_Rings_Olinordered__semidom(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Rings_Olinordered__semidom)).
% fof(467, axiom,class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Rings_Ocomm__semiring__1)).
% fof(468, axiom,class_Orderings_Oorder(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Orderings_Oorder)).
% fof(480, axiom,c_Transcendental_Oln(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', fact_ln__one)).
% fof(532, axiom,class_Orderings_Olinorder(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Orderings_Olinorder)).
% fof(568, axiom,hAPP(c_Complex_ORe,c_Complex_Oii)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', fact_complex__Re__i)).
% fof(595, axiom,![X4]:![X5]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X5),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4),X5),file('/tmp/SRASS.s.p', fact_real__mult__commute)).
% fof(684, axiom,![X10]:![X33]:c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Orcis(X33,X10))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X33),file('/tmp/SRASS.s.p', fact_complex__mod__rcis)).
% fof(722, axiom,![X5]:c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X5),hAPP(c_Complex_OIm,X5))=X5,file('/tmp/SRASS.s.p', fact_complex__surj)).
% fof(742, axiom,![X10]:hAPP(c_Complex_OIm,c_Complex_Ocis(X10))=c_Transcendental_Osin(X10),file('/tmp/SRASS.s.p', fact_Im__cis)).
% fof(916, axiom,hAPP(c_Complex_ORe,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', fact_complex__Re__one)).
% fof(990, axiom,![X17]:(class_RealVector_Oreal__normed__algebra__1(X17)=>c_RealVector_Onorm__class_Onorm(X17,c_Groups_Oone__class_Oone(X17))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),file('/tmp/SRASS.s.p', fact_norm__one)).
% fof(1025, axiom,![X10]:c_Complex_Ocis(X10)=c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X10),file('/tmp/SRASS.s.p', fact_cis__rcis__eq)).
% fof(1094, axiom,![X10]:![X17]:(class_Rings_Ocomm__semiring__1(X17)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X17),X10),c_Groups_Oone__class_Oone(X17))=X10),file('/tmp/SRASS.s.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J)).
% fof(1099, axiom,![X10]:hAPP(c_Complex_ORe,c_Complex_Ocis(X10))=c_Transcendental_Ocos(X10),file('/tmp/SRASS.s.p', fact_Re__cis)).
% fof(1148, axiom,class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),file('/tmp/SRASS.s.p', arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1)).
% fof(1192, axiom,![X10]:c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X10),c_Transcendental_Osin(X10)))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', fact_cmod__unit__one)).
% fof(1269, conjecture,?[X24]:(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X24))&![X23]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,X23)))))),X24))),file('/tmp/SRASS.s.p', conj_0)).
% fof(1270, negated_conjecture,~(?[X24]:(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X24))&![X23]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,X23)))))),X24)))),inference(assume_negation,[status(cth)],[1269])).
% fof(1278, plain,![X9]:![X14]:![X17]:(class_Orderings_Olinorder(X17)=>(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X17,X14),X9)))=>hBOOL(hAPP(c_Orderings_Oord__class_Oless(X17,X9),X14)))),inference(fof_simplification,[status(thm)],[42,theory(equality)])).
% fof(1327, plain,![X1]:![X2]:![X3]:(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),X2)))|(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),X1)))),inference(fof_nnf,[status(thm)],[1])).
% fof(1328, plain,![X4]:![X5]:![X6]:(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X6),X5)))|(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5),X4)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X6),X4)))),inference(variable_rename,[status(thm)],[1327])).
% cnf(1329,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),X2))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X3))),inference(split_conjunct,[status(thm)],[1328])).
% fof(1413, plain,![X9]:(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X9)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X9)),X9))),inference(fof_nnf,[status(thm)],[26])).
% fof(1414, plain,![X10]:(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X10)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X10)),X10))),inference(variable_rename,[status(thm)],[1413])).
% cnf(1415,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X1)),X1))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))),inference(split_conjunct,[status(thm)],[1414])).
% fof(1440, plain,![X5]:![X9]:![X14]:![X17]:(~(class_Orderings_Oorder(X17))|(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X17,X14),X9)))|(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless(X17,X5),X14)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(X17,X5),X9))))),inference(fof_nnf,[status(thm)],[33])).
% fof(1441, plain,![X18]:![X19]:![X20]:![X21]:(~(class_Orderings_Oorder(X21))|(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X21,X20),X19)))|(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless(X21,X18),X20)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(X21,X18),X19))))),inference(variable_rename,[status(thm)],[1440])).
% cnf(1442,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X3))|~class_Orderings_Oorder(X1)),inference(split_conjunct,[status(thm)],[1441])).
% fof(1464, plain,![X9]:![X14]:![X17]:(~(class_Orderings_Olinorder(X17))|(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X17,X14),X9))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(X17,X9),X14)))),inference(fof_nnf,[status(thm)],[1278])).
% fof(1465, plain,![X18]:![X19]:![X20]:(~(class_Orderings_Olinorder(X20))|(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X20,X19),X18))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(X20,X18),X19)))),inference(variable_rename,[status(thm)],[1464])).
% cnf(1466,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2))|~class_Orderings_Olinorder(X1)),inference(split_conjunct,[status(thm)],[1465])).
% fof(1489, plain,![X10]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X10))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X10))),inference(variable_rename,[status(thm)],[48])).
% cnf(1490,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X1))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)))),inference(split_conjunct,[status(thm)],[1489])).
% fof(2331, plain,![X17]:(~(class_Rings_Olinordered__semidom(X17))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(X17,c_Groups_Ozero__class_Ozero(X17)),c_Groups_Oone__class_Oone(X17)))),inference(fof_nnf,[status(thm)],[271])).
% fof(2332, plain,![X18]:(~(class_Rings_Olinordered__semidom(X18))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(X18,c_Groups_Ozero__class_Ozero(X18)),c_Groups_Oone__class_Oone(X18)))),inference(variable_rename,[status(thm)],[2331])).
% cnf(2333,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Oone__class_Oone(X1)))|~class_Rings_Olinordered__semidom(X1)),inference(split_conjunct,[status(thm)],[2332])).
% fof(2399, plain,![X24]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X24))),v_r)),inference(variable_rename,[status(thm)],[289])).
% cnf(2400,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X1))),v_r))),inference(split_conjunct,[status(thm)],[2399])).
% fof(2407, plain,![X34]:c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X34)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X34),inference(variable_rename,[status(thm)],[291])).
% cnf(2408,plain,(c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),inference(split_conjunct,[status(thm)],[2407])).
% cnf(2955,plain,(hAPP(c_Complex_OIm,c_Complex_Oii)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[447])).
% fof(2973, plain,?[X26]:(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X26))&![X27]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X27))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X27)),X26)))),inference(variable_rename,[status(thm)],[452])).
% fof(2974, plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk35_0))&![X27]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X27))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X27)),esk35_0)))),inference(skolemize,[status(esa)],[2973])).
% fof(2975, plain,![X27]:(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X27))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X27)),esk35_0)))&hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk35_0))),inference(shift_quantors,[status(thm)],[2974])).
% cnf(2976,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk35_0))),inference(split_conjunct,[status(thm)],[2975])).
% cnf(2977,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),esk35_0)))),inference(split_conjunct,[status(thm)],[2975])).
% cnf(3017,plain,(class_Rings_Olinordered__semidom(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[465])).
% cnf(3019,plain,(class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[467])).
% cnf(3020,plain,(class_Orderings_Oorder(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[468])).
% cnf(3058,plain,(c_Transcendental_Oln(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[480])).
% cnf(3147,plain,(class_Orderings_Olinorder(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[532])).
% cnf(3227,plain,(hAPP(c_Complex_ORe,c_Complex_Oii)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[568])).
% fof(3313, plain,![X6]:![X7]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X7),X6)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X6),X7),inference(variable_rename,[status(thm)],[595])).
% cnf(3314,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)],[3313])).
% fof(3597, plain,![X34]:![X35]:c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Orcis(X35,X34))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X35),inference(variable_rename,[status(thm)],[684])).
% cnf(3598,plain,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Orcis(X1,X2))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),inference(split_conjunct,[status(thm)],[3597])).
% fof(3705, plain,![X6]:c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X6),hAPP(c_Complex_OIm,X6))=X6,inference(variable_rename,[status(thm)],[722])).
% cnf(3706,plain,(c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X1),hAPP(c_Complex_OIm,X1))=X1),inference(split_conjunct,[status(thm)],[3705])).
% fof(3771, plain,![X11]:hAPP(c_Complex_OIm,c_Complex_Ocis(X11))=c_Transcendental_Osin(X11),inference(variable_rename,[status(thm)],[742])).
% cnf(3772,plain,(hAPP(c_Complex_OIm,c_Complex_Ocis(X1))=c_Transcendental_Osin(X1)),inference(split_conjunct,[status(thm)],[3771])).
% cnf(4299,plain,(hAPP(c_Complex_ORe,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[916])).
% fof(4522, plain,![X17]:(~(class_RealVector_Oreal__normed__algebra__1(X17))|c_RealVector_Onorm__class_Onorm(X17,c_Groups_Oone__class_Oone(X17))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(fof_nnf,[status(thm)],[990])).
% fof(4523, plain,![X18]:(~(class_RealVector_Oreal__normed__algebra__1(X18))|c_RealVector_Onorm__class_Onorm(X18,c_Groups_Oone__class_Oone(X18))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(variable_rename,[status(thm)],[4522])).
% cnf(4524,plain,(c_RealVector_Onorm__class_Onorm(X1,c_Groups_Oone__class_Oone(X1))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__algebra__1(X1)),inference(split_conjunct,[status(thm)],[4523])).
% fof(4636, plain,![X11]:c_Complex_Ocis(X11)=c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X11),inference(variable_rename,[status(thm)],[1025])).
% cnf(4637,plain,(c_Complex_Ocis(X1)=c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),inference(split_conjunct,[status(thm)],[4636])).
% fof(4781, plain,![X10]:![X17]:(~(class_Rings_Ocomm__semiring__1(X17))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X17),X10),c_Groups_Oone__class_Oone(X17))=X10),inference(fof_nnf,[status(thm)],[1094])).
% fof(4782, plain,![X18]:![X19]:(~(class_Rings_Ocomm__semiring__1(X19))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X19),X18),c_Groups_Oone__class_Oone(X19))=X18),inference(variable_rename,[status(thm)],[4781])).
% cnf(4783,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)],[4782])).
% fof(4796, plain,![X11]:hAPP(c_Complex_ORe,c_Complex_Ocis(X11))=c_Transcendental_Ocos(X11),inference(variable_rename,[status(thm)],[1099])).
% cnf(4797,plain,(hAPP(c_Complex_ORe,c_Complex_Ocis(X1))=c_Transcendental_Ocos(X1)),inference(split_conjunct,[status(thm)],[4796])).
% cnf(4855,plain,(class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex)),inference(split_conjunct,[status(thm)],[1148])).
% fof(4923, plain,![X11]:c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X11),c_Transcendental_Osin(X11)))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal),inference(variable_rename,[status(thm)],[1192])).
% cnf(4924,plain,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X1),c_Transcendental_Osin(X1)))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[4923])).
% fof(5135, negated_conjecture,![X24]:(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X24)))|?[X23]:~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,X23)))))),X24)))),inference(fof_nnf,[status(thm)],[1270])).
% fof(5136, negated_conjecture,![X25]:(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X25)))|?[X26]:~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,X26)))))),X25)))),inference(variable_rename,[status(thm)],[5135])).
% fof(5137, negated_conjecture,![X25]:(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X25)))|~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,esk72_1(X25))))))),X25)))),inference(skolemize,[status(esa)],[5136])).
% cnf(5138,negated_conjecture,(~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,esk72_1(X1))))))),X1))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))),inference(split_conjunct,[status(thm)],[5137])).
% cnf(5199,plain,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X1),hAPP(c_Complex_OIm,c_Complex_Ocis(X1))))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(rw,[status(thm)],[4924,3772,theory(equality)]),['unfolding']).
% cnf(5215,plain,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,c_Complex_Ocis(X1)),hAPP(c_Complex_OIm,c_Complex_Ocis(X1))))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(rw,[status(thm)],[5199,4797,theory(equality)]),['unfolding']).
% cnf(5237,plain,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[5215,4637,theory(equality)]),4637,theory(equality)]),['unfolding']).
% cnf(5426,plain,(c_Transcendental_Oln(hAPP(c_Complex_OIm,c_Complex_Oii))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),inference(rw,[status(thm)],[3058,2955,theory(equality)])).
% cnf(5430,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),esk35_0))),inference(rw,[status(thm)],[2976,3227,theory(equality)])).
% cnf(5458,negated_conjecture,(~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),X1))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,esk72_1(X1))))))),X1))),inference(rw,[status(thm)],[5138,3227,theory(equality)])).
% cnf(5459,negated_conjecture,(~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),X1))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,esk72_1(X1))))))),X1))),inference(rw,[status(thm)],[5458,2408,theory(equality)])).
% cnf(5467,plain,(hAPP(c_Complex_ORe,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))=hAPP(c_Complex_OIm,c_Complex_Oii)),inference(rw,[status(thm)],[4299,2955,theory(equality)])).
% cnf(5569,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X1)),X1))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),X1))),inference(rw,[status(thm)],[1415,3227,theory(equality)])).
% cnf(5650,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X1))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)))),inference(rw,[status(thm)],[1490,2408,theory(equality)])).
% cnf(5751,plain,(c_RealVector_Onorm__class_Onorm(X1,c_Groups_Oone__class_Oone(X1))=hAPP(c_Complex_OIm,c_Complex_Oii)|~class_RealVector_Oreal__normed__algebra__1(X1)),inference(rw,[status(thm)],[4524,2955,theory(equality)])).
% cnf(5752,plain,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))=hAPP(c_Complex_OIm,c_Complex_Oii)),inference(spm,[status(thm)],[5751,4855,theory(equality)])).
% cnf(5858,plain,(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Orcis(X1,X2))=c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1)),inference(rw,[status(thm)],[3598,2408,theory(equality)])).
% cnf(5961,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),v_r))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X2))))),inference(spm,[status(thm)],[1329,2400,theory(equality)])).
% cnf(6025,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),inference(spm,[status(thm)],[2333,3017,theory(equality)])).
% cnf(6027,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),hAPP(c_Complex_OIm,c_Complex_Oii)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[6025,3227,theory(equality)]),2955,theory(equality)])).
% cnf(7588,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)],[4783,3019,theory(equality)])).
% cnf(7591,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),hAPP(c_Complex_OIm,c_Complex_Oii))=X1),inference(rw,[status(thm)],[7588,2955,theory(equality)])).
% cnf(8922,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1))),inference(spm,[status(thm)],[1466,3147,theory(equality)])).
% cnf(9766,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),esk35_0),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))))),inference(rw,[status(thm)],[2977,3314,theory(equality)])).
% cnf(16009,plain,(c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,c_Complex_Oii))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5237,2955,theory(equality)]),2955,theory(equality)]),3706,theory(equality)]),5858,theory(equality)])).
% cnf(16010,plain,(c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,c_Complex_Oii))=hAPP(c_Complex_OIm,c_Complex_Oii)),inference(rw,[status(thm)],[16009,2955,theory(equality)])).
% cnf(100991,plain,(c_Transcendental_Oln(hAPP(c_Complex_OIm,c_Complex_Oii))=hAPP(c_Complex_ORe,c_Complex_Oii)),inference(rw,[status(thm)],[5426,3227,theory(equality)])).
% cnf(101424,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),esk35_0))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),hAPP(c_Complex_ORe,c_Complex_Oii)))),inference(spm,[status(thm)],[1329,5430,theory(equality)])).
% cnf(105622,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),esk35_0),hAPP(c_Complex_OIm,c_Complex_Oii))))),inference(spm,[status(thm)],[9766,5752,theory(equality)])).
% cnf(105744,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Complex_OIm,c_Complex_Oii)),esk35_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[105622,5467,theory(equality)]),16010,theory(equality)]),7591,theory(equality)])).
% cnf(105800,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),esk35_0))|~class_Orderings_Oorder(tc_RealDef_Oreal)|~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),hAPP(c_Complex_OIm,c_Complex_Oii)))),inference(spm,[status(thm)],[1442,105744,theory(equality)])).
% cnf(105821,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),esk35_0))|$false|~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),hAPP(c_Complex_OIm,c_Complex_Oii)))),inference(rw,[status(thm)],[105800,3020,theory(equality)])).
% cnf(105822,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),esk35_0))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),hAPP(c_Complex_OIm,c_Complex_Oii)))),inference(cn,[status(thm)],[105821,theory(equality)])).
% cnf(111869,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(hAPP(c_Complex_OIm,c_Complex_Oii))),esk35_0))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),hAPP(c_Complex_OIm,c_Complex_Oii)))),inference(spm,[status(thm)],[105822,5569,theory(equality)])).
% cnf(111875,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),esk35_0))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),hAPP(c_Complex_OIm,c_Complex_Oii)))),inference(rw,[status(thm)],[111869,100991,theory(equality)])).
% cnf(111876,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),esk35_0))|$false),inference(rw,[status(thm)],[111875,6027,theory(equality)])).
% cnf(111877,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),esk35_0))),inference(cn,[status(thm)],[111876,theory(equality)])).
% cnf(127134,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),esk35_0))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),X1))),inference(spm,[status(thm)],[101424,8922,theory(equality)])).
% cnf(130711,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X1)))),v_r))),inference(spm,[status(thm)],[5961,5650,theory(equality)])).
% cnf(130856,negated_conjecture,(~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),v_r))),inference(spm,[status(thm)],[5459,130711,theory(equality)])).
% cnf(130890,negated_conjecture,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),esk35_0))),inference(spm,[status(thm)],[130856,127134,theory(equality)])).
% cnf(130900,negated_conjecture,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),esk35_0))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),v_r))),inference(spm,[status(thm)],[1329,130890,theory(equality)])).
% cnf(133633,negated_conjecture,(~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),esk35_0))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,esk72_1(esk35_0))))))),v_r))),inference(spm,[status(thm)],[5459,130900,theory(equality)])).
% cnf(133703,negated_conjecture,($false|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,esk72_1(esk35_0))))))),v_r))),inference(rw,[status(thm)],[133633,111877,theory(equality)])).
% cnf(133704,negated_conjecture,($false|$false),inference(rw,[status(thm)],[133703,130711,theory(equality)])).
% cnf(133705,negated_conjecture,($false),inference(cn,[status(thm)],[133704,theory(equality)])).
% cnf(133706,negated_conjecture,($false),133705,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 3605
% # ...of these trivial : 207
% # ...subsumed : 1411
% # ...remaining for further processing: 1987
% # Other redundant clauses eliminated : 194
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 4
% # Backward-rewritten : 37
% # Generated clauses : 61494
% # ...of the previous two non-trivial : 56034
% # Contextual simplify-reflections : 45
% # Paramodulations : 61248
% # Factorizations : 10
% # Equation resolutions : 233
% # Current number of processed clauses: 1909
% # Positive orientable unit clauses: 525
% # Positive unorientable unit clauses: 14
% # Negative unit clauses : 146
% # Non-unit-clauses : 1224
% # Current number of unprocessed clauses: 53537
% # ...number of literals in the above : 170359
% # Clause-clause subsumption calls (NU) : 31952
% # Rec. Clause-clause subsumption calls : 25497
% # Unit Clause-clause subsumption calls : 5008
% # Rewrite failures with RHS unbound : 5
% # Indexed BW rewrite attempts : 5233
% # Indexed BW rewrite successes : 89
% # Backwards rewriting index: 1902 leaves, 2.18+/-7.463 terms/leaf
% # Paramod-from index: 582 leaves, 1.76+/-4.751 terms/leaf
% # Paramod-into index: 1738 leaves, 1.93+/-6.168 terms/leaf
% # -------------------------------------------------
% # User time : 3.486 s
% # System time : 0.119 s
% # Total time : 3.605 s
% # Maximum resident set size: 0 pages
% PrfWatch: 6.05 CPU 6.20 WC
% FINAL PrfWatch: 6.05 CPU 6.20 WC
% SZS output end Solution for /tmp/SystemOnTPTP751/SWW207+1.tptp
%
%------------------------------------------------------------------------------