TSTP Solution File: SWW208+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWW208+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 00:54:22 EST 2011
% Result : Theorem 172.09s
% Output : Solution 172.09s
% 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/SystemOnTPTP8438/SWW208+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% WARNING: TreeLimitedRun lost 1.05s, total lost is 1.05s
% found
% SZS status THM for /tmp/SystemOnTPTP8438/SWW208+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP8438/SWW208+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 8715
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.93 CPU 2.04 WC
% # Preprocessing time : 0.249 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.92 CPU 4.05 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,hBOOL(hAPP(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(2, axiom,![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,X1)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),file('/tmp/SRASS.s.p', fact_th)).
% fof(5, axiom,![X3]:![X4]:![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,X4),X3))=>hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5),X3)))),file('/tmp/SRASS.s.p', fact_real__le__trans)).
% fof(10, axiom,![X13]:![X14]:(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X14),X13))<=>(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X14),X13))|X14=X13)),file('/tmp/SRASS.s.p', fact_less__eq__real__def)).
% fof(29, axiom,~(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),file('/tmp/SRASS.s.p', fact_real__zero__not__eq__one)).
% fof(47, axiom,![X16]:![X22]:(class_Rings_Olinordered__semidom(X22)=>hBOOL(hAPP(c_Orderings_Oord__class_Oless(X22,X16),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X22),X16),c_Groups_Oone__class_Oone(X22))))),file('/tmp/SRASS.s.p', fact_less__add__one)).
% fof(137, axiom,![X13]:![X14]:![X22]:(class_Orderings_Olinorder(X22)=>(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless(X22,X14),X13)))<=>hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X22,X13),X14)))),file('/tmp/SRASS.s.p', fact_linorder__not__less)).
% fof(138, axiom,![X13]:![X14]:![X22]:(class_Orderings_Olinorder(X22)=>(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X22,X14),X13)))<=>hBOOL(hAPP(c_Orderings_Oord__class_Oless(X22,X13),X14)))),file('/tmp/SRASS.s.p', fact_linorder__not__le)).
% fof(185, 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(434, axiom,![X30]:![X32]:![X22]:(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X22)=>(X32=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X22),X32),X30)<=>X30=c_Groups_Ozero__class_Ozero(X22))),file('/tmp/SRASS.s.p', fact_add__0__iff)).
% fof(604, axiom,class_Rings_Olinordered__semidom(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Rings_Olinordered__semidom)).
% fof(621, axiom,class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct)).
% fof(664, axiom,class_Orderings_Olinorder(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', arity_RealDef__Oreal__Orderings_Olinorder)).
% fof(965, 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(1269, conjecture,(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))&![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____,X1)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),file('/tmp/SRASS.s.p', conj_0)).
% fof(1270, negated_conjecture,~((hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))&![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____,X1)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))),inference(assume_negation,[status(cth)],[1269])).
% fof(1282, plain,![X13]:![X14]:![X22]:(class_Orderings_Olinorder(X22)=>(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless(X22,X14),X13)))<=>hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X22,X13),X14)))),inference(fof_simplification,[status(thm)],[137,theory(equality)])).
% fof(1283, plain,![X13]:![X14]:![X22]:(class_Orderings_Olinorder(X22)=>(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X22,X14),X13)))<=>hBOOL(hAPP(c_Orderings_Oord__class_Oless(X22,X13),X14)))),inference(fof_simplification,[status(thm)],[138,theory(equality)])).
% cnf(1327,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r))),inference(split_conjunct,[status(thm)],[1])).
% fof(1328, plain,![X2]: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,X2)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),inference(variable_rename,[status(thm)],[2])).
% cnf(1329,plain,(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,X1)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),inference(split_conjunct,[status(thm)],[1328])).
% fof(1334, plain,![X3]:![X4]:![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,X4),X3)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5),X3)))),inference(fof_nnf,[status(thm)],[5])).
% fof(1335, plain,![X6]:![X7]:![X8]:(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8),X7)))|(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7),X6)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8),X6)))),inference(variable_rename,[status(thm)],[1334])).
% cnf(1336,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)],[1335])).
% fof(1352, plain,![X13]:![X14]:((~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X14),X13)))|(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X14),X13))|X14=X13))&((~(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X14),X13)))&~(X14=X13))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X14),X13)))),inference(fof_nnf,[status(thm)],[10])).
% fof(1353, plain,![X15]:![X16]:((~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X16),X15)))|(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X16),X15))|X16=X15))&((~(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X16),X15)))&~(X16=X15))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X16),X15)))),inference(variable_rename,[status(thm)],[1352])).
% fof(1354, plain,![X15]:![X16]:((~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X16),X15)))|(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X16),X15))|X16=X15))&((~(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X16),X15)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X16),X15)))&(~(X16=X15)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X16),X15))))),inference(distribute,[status(thm)],[1353])).
% cnf(1356,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))),inference(split_conjunct,[status(thm)],[1354])).
% cnf(1357,plain,(X1=X2|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))),inference(split_conjunct,[status(thm)],[1354])).
% cnf(1431,plain,(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[29])).
% fof(1491, plain,![X16]:![X22]:(~(class_Rings_Olinordered__semidom(X22))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(X22,X16),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X22),X16),c_Groups_Oone__class_Oone(X22))))),inference(fof_nnf,[status(thm)],[47])).
% fof(1492, plain,![X23]:![X24]:(~(class_Rings_Olinordered__semidom(X24))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(X24,X23),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X24),X23),c_Groups_Oone__class_Oone(X24))))),inference(variable_rename,[status(thm)],[1491])).
% cnf(1493,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Oone__class_Oone(X1))))|~class_Rings_Olinordered__semidom(X1)),inference(split_conjunct,[status(thm)],[1492])).
% fof(1776, plain,![X13]:![X14]:![X22]:(~(class_Orderings_Olinorder(X22))|((hBOOL(hAPP(c_Orderings_Oord__class_Oless(X22,X14),X13))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X22,X13),X14)))&(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X22,X13),X14)))|~(hBOOL(hAPP(c_Orderings_Oord__class_Oless(X22,X14),X13)))))),inference(fof_nnf,[status(thm)],[1282])).
% fof(1777, plain,![X23]:![X24]:![X25]:(~(class_Orderings_Olinorder(X25))|((hBOOL(hAPP(c_Orderings_Oord__class_Oless(X25,X24),X23))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X25,X23),X24)))&(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X25,X23),X24)))|~(hBOOL(hAPP(c_Orderings_Oord__class_Oless(X25,X24),X23)))))),inference(variable_rename,[status(thm)],[1776])).
% fof(1778, plain,![X23]:![X24]:![X25]:(((hBOOL(hAPP(c_Orderings_Oord__class_Oless(X25,X24),X23))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X25,X23),X24)))|~(class_Orderings_Olinorder(X25)))&((~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X25,X23),X24)))|~(hBOOL(hAPP(c_Orderings_Oord__class_Oless(X25,X24),X23))))|~(class_Orderings_Olinorder(X25)))),inference(distribute,[status(thm)],[1777])).
% cnf(1779,plain,(~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2))),inference(split_conjunct,[status(thm)],[1778])).
% fof(1781, plain,![X13]:![X14]:![X22]:(~(class_Orderings_Olinorder(X22))|((hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X22,X14),X13))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(X22,X13),X14)))&(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless(X22,X13),X14)))|~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X22,X14),X13)))))),inference(fof_nnf,[status(thm)],[1283])).
% fof(1782, plain,![X23]:![X24]:![X25]:(~(class_Orderings_Olinorder(X25))|((hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X25,X24),X23))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(X25,X23),X24)))&(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless(X25,X23),X24)))|~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X25,X24),X23)))))),inference(variable_rename,[status(thm)],[1781])).
% fof(1783, plain,![X23]:![X24]:![X25]:(((hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X25,X24),X23))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(X25,X23),X24)))|~(class_Orderings_Olinorder(X25)))&((~(hBOOL(hAPP(c_Orderings_Oord__class_Oless(X25,X23),X24)))|~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X25,X24),X23))))|~(class_Orderings_Olinorder(X25)))),inference(distribute,[status(thm)],[1782])).
% cnf(1785,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)],[1783])).
% cnf(1952,plain,(hAPP(c_Complex_OIm,c_Complex_Oii)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[185])).
% fof(2899, plain,![X30]:![X32]:![X22]:(~(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X22))|((~(X32=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X22),X32),X30))|X30=c_Groups_Ozero__class_Ozero(X22))&(~(X30=c_Groups_Ozero__class_Ozero(X22))|X32=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X22),X32),X30)))),inference(fof_nnf,[status(thm)],[434])).
% fof(2900, plain,![X33]:![X34]:![X35]:(~(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X35))|((~(X34=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X35),X34),X33))|X33=c_Groups_Ozero__class_Ozero(X35))&(~(X33=c_Groups_Ozero__class_Ozero(X35))|X34=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X35),X34),X33)))),inference(variable_rename,[status(thm)],[2899])).
% fof(2901, plain,![X33]:![X34]:![X35]:(((~(X34=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X35),X34),X33))|X33=c_Groups_Ozero__class_Ozero(X35))|~(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X35)))&((~(X33=c_Groups_Ozero__class_Ozero(X35))|X34=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X35),X34),X33))|~(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X35)))),inference(distribute,[status(thm)],[2900])).
% cnf(2903,plain,(X2=c_Groups_Ozero__class_Ozero(X1)|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)|X3!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X2)),inference(split_conjunct,[status(thm)],[2901])).
% cnf(3525,plain,(class_Rings_Olinordered__semidom(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[604])).
% cnf(3572,plain,(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[621])).
% cnf(3615,plain,(class_Orderings_Olinorder(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[664])).
% cnf(4484,plain,(hAPP(c_Complex_ORe,c_Complex_Oii)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[965])).
% fof(5135, negated_conjecture,(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))|?[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____,X1)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))),inference(fof_nnf,[status(thm)],[1270])).
% fof(5136, negated_conjecture,(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))|?[X2]:~(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____,X2)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))),inference(variable_rename,[status(thm)],[5135])).
% fof(5137, negated_conjecture,(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))|~(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_0)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))),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_0)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),inference(split_conjunct,[status(thm)],[5137])).
% cnf(5426,plain,(hAPP(c_Complex_OIm,c_Complex_Oii)!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),inference(rw,[status(thm)],[1431,1952,theory(equality)])).
% cnf(5435,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),v_r))),inference(rw,[status(thm)],[1327,4484,theory(equality)])).
% cnf(5446,negated_conjecture,(~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),hAPP(c_Complex_OIm,c_Complex_Oii))))|~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_0)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[5138,4484,theory(equality)]),1952,theory(equality)])).
% cnf(5447,negated_conjecture,(~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),hAPP(c_Complex_OIm,c_Complex_Oii))))|~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_0)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),hAPP(c_Complex_OIm,c_Complex_Oii))))),inference(rw,[status(thm)],[5446,1952,theory(equality)])).
% cnf(5454,plain,(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,X1)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),hAPP(c_Complex_OIm,c_Complex_Oii))))),inference(rw,[status(thm)],[1329,1952,theory(equality)])).
% cnf(5455,negated_conjecture,($false|~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),hAPP(c_Complex_OIm,c_Complex_Oii))))),inference(rw,[status(thm)],[5447,5454,theory(equality)])).
% cnf(5456,negated_conjecture,(~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),hAPP(c_Complex_OIm,c_Complex_Oii))))),inference(cn,[status(thm)],[5455,theory(equality)])).
% cnf(6295,plain,(~class_Orderings_Olinorder(tc_RealDef_Oreal)|~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X1))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))),inference(spm,[status(thm)],[1779,1356,theory(equality)])).
% cnf(6358,plain,($false|~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X1))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))),inference(rw,[status(thm)],[6295,3615,theory(equality)])).
% cnf(6359,plain,(~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X1))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))),inference(cn,[status(thm)],[6358,theory(equality)])).
% cnf(9714,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)],[1785,3615,theory(equality)])).
% cnf(100743,plain,(hAPP(c_Complex_ORe,c_Complex_Oii)!=hAPP(c_Complex_OIm,c_Complex_Oii)),inference(rw,[status(thm)],[5426,4484,theory(equality)])).
% cnf(101513,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),hAPP(c_Complex_ORe,c_Complex_Oii)))),inference(spm,[status(thm)],[1336,5435,theory(equality)])).
% cnf(108580,plain,(~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X1))|~class_Rings_Olinordered__semidom(tc_RealDef_Oreal)),inference(spm,[status(thm)],[6359,1493,theory(equality)])).
% cnf(108636,plain,(~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),hAPP(c_Complex_OIm,c_Complex_Oii))),X1))|~class_Rings_Olinordered__semidom(tc_RealDef_Oreal)),inference(rw,[status(thm)],[108580,1952,theory(equality)])).
% cnf(108637,plain,(~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),hAPP(c_Complex_OIm,c_Complex_Oii))),X1))|$false),inference(rw,[status(thm)],[108636,3525,theory(equality)])).
% cnf(108638,plain,(~hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),hAPP(c_Complex_OIm,c_Complex_Oii))),X1))),inference(cn,[status(thm)],[108637,theory(equality)])).
% cnf(115448,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),v_r))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),X1))),inference(spm,[status(thm)],[101513,9714,theory(equality)])).
% cnf(115557,negated_conjecture,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),hAPP(c_Complex_OIm,c_Complex_Oii))),v_r))),inference(spm,[status(thm)],[5456,115448,theory(equality)])).
% cnf(115585,negated_conjecture,(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),hAPP(c_Complex_OIm,c_Complex_Oii))=v_r|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),hAPP(c_Complex_OIm,c_Complex_Oii))),v_r))),inference(spm,[status(thm)],[1357,115557,theory(equality)])).
% cnf(115601,negated_conjecture,(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),hAPP(c_Complex_OIm,c_Complex_Oii))=v_r),inference(sr,[status(thm)],[115585,108638,theory(equality)])).
% cnf(115645,negated_conjecture,(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=hAPP(c_Complex_OIm,c_Complex_Oii)|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal)),inference(spm,[status(thm)],[2903,115601,theory(equality)])).
% cnf(115688,negated_conjecture,(hAPP(c_Complex_ORe,c_Complex_Oii)=hAPP(c_Complex_OIm,c_Complex_Oii)|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal)),inference(rw,[status(thm)],[115645,4484,theory(equality)])).
% cnf(115689,negated_conjecture,(hAPP(c_Complex_ORe,c_Complex_Oii)=hAPP(c_Complex_OIm,c_Complex_Oii)|$false),inference(rw,[status(thm)],[115688,3572,theory(equality)])).
% cnf(115690,negated_conjecture,(hAPP(c_Complex_ORe,c_Complex_Oii)=hAPP(c_Complex_OIm,c_Complex_Oii)),inference(cn,[status(thm)],[115689,theory(equality)])).
% cnf(115691,negated_conjecture,($false),inference(sr,[status(thm)],[115690,100743,theory(equality)])).
% cnf(115692,negated_conjecture,($false),115691,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 2397
% # ...of these trivial : 141
% # ...subsumed : 626
% # ...remaining for further processing: 1630
% # Other redundant clauses eliminated : 194
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 55
% # Generated clauses : 53659
% # ...of the previous two non-trivial : 49488
% # Contextual simplify-reflections : 22
% # Paramodulations : 53416
% # Factorizations : 10
% # Equation resolutions : 230
% # Current number of processed clauses: 1538
% # Positive orientable unit clauses: 441
% # Positive unorientable unit clauses: 15
% # Negative unit clauses : 53
% # Non-unit-clauses : 1029
% # Current number of unprocessed clauses: 47731
% # ...number of literals in the above : 155554
% # Clause-clause subsumption calls (NU) : 23817
% # Rec. Clause-clause subsumption calls : 17793
% # Unit Clause-clause subsumption calls : 2315
% # Rewrite failures with RHS unbound : 6
% # Indexed BW rewrite attempts : 3825
% # Indexed BW rewrite successes : 145
% # Backwards rewriting index: 1559 leaves, 2.16+/-6.478 terms/leaf
% # Paramod-from index: 547 leaves, 1.66+/-4.453 terms/leaf
% # Paramod-into index: 1412 leaves, 1.87+/-5.002 terms/leaf
% # -------------------------------------------------
% # User time : 3.035 s
% # System time : 0.113 s
% # Total time : 3.148 s
% # Maximum resident set size: 0 pages
% PrfWatch: 5.18 CPU 5.32 WC
% FINAL PrfWatch: 5.18 CPU 5.32 WC
% SZS output end Solution for /tmp/SystemOnTPTP8438/SWW208+1.tptp
%
%------------------------------------------------------------------------------