TSTP Solution File: LAT387+4 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : LAT387+4 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Wed Dec 29 13:27:06 EST 2010
% Result : Theorem 1.27s
% Output : Solution 1.27s
% 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/SystemOnTPTP13556/LAT387+4.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP13556/LAT387+4.tptp
% SZS output start Solution for /tmp/SystemOnTPTP13556/LAT387+4.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 13688
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.020 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(12, axiom,![X1]:(aFunction0(X1)=>![X2]:(aElementOf0(X2,szDzozmdt0(X1))=>aElementOf0(sdtlpdtrp0(X1,X2),szRzazndt0(X1)))),file('/tmp/SRASS.s.p', mImgSort)).
% fof(15, axiom,((((((((aSet0(xU)&![X1]:(((aSet0(X1)&![X2]:(aElementOf0(X2,X1)=>aElementOf0(X2,xU)))|aSubsetOf0(X1,xU))=>?[X2]:((((((aElementOf0(X2,xU)&aElementOf0(X2,xU))&![X3]:(aElementOf0(X3,X1)=>sdtlseqdt0(X2,X3)))&aLowerBoundOfIn0(X2,X1,xU))&![X3]:(((aElementOf0(X3,xU)&![X4]:(aElementOf0(X4,X1)=>sdtlseqdt0(X3,X4)))|aLowerBoundOfIn0(X3,X1,xU))=>sdtlseqdt0(X3,X2)))&aInfimumOfIn0(X2,X1,xU))&?[X3]:(((((aElementOf0(X3,xU)&aElementOf0(X3,xU))&![X4]:(aElementOf0(X4,X1)=>sdtlseqdt0(X4,X3)))&aUpperBoundOfIn0(X3,X1,xU))&![X4]:(((aElementOf0(X4,xU)&![X5]:(aElementOf0(X5,X1)=>sdtlseqdt0(X5,X4)))|aUpperBoundOfIn0(X4,X1,xU))=>sdtlseqdt0(X3,X4)))&aSupremumOfIn0(X3,X1,xU)))))&aCompleteLattice0(xU))&aFunction0(xf))&![X1]:![X2]:((aElementOf0(X1,szDzozmdt0(xf))&aElementOf0(X2,szDzozmdt0(xf)))=>(sdtlseqdt0(X1,X2)=>sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2)))))&isMonotone0(xf))&szDzozmdt0(xf)=szRzazndt0(xf))&szRzazndt0(xf)=xU)&isOn0(xf,xU)),file('/tmp/SRASS.s.p', m__1123)).
% fof(16, axiom,((aSet0(xS)&![X1]:((aElementOf0(X1,xS)=>((aElementOf0(X1,szDzozmdt0(xf))&sdtlpdtrp0(xf,X1)=X1)&aFixedPointOf0(X1,xf)))&(((aElementOf0(X1,szDzozmdt0(xf))&sdtlpdtrp0(xf,X1)=X1)|aFixedPointOf0(X1,xf))=>aElementOf0(X1,xS))))&xS=cS1142(xf)),file('/tmp/SRASS.s.p', m__1144)).
% fof(18, axiom,((aSet0(xP)&![X1]:((aElementOf0(X1,xP)=>(((aElementOf0(X1,xU)&sdtlseqdt0(sdtlpdtrp0(xf,X1),X1))&![X2]:(aElementOf0(X2,xT)=>sdtlseqdt0(X2,X1)))&aUpperBoundOfIn0(X1,xT,xU)))&(((aElementOf0(X1,xU)&sdtlseqdt0(sdtlpdtrp0(xf,X1),X1))&(![X2]:(aElementOf0(X2,xT)=>sdtlseqdt0(X2,X1))|aUpperBoundOfIn0(X1,xT,xU)))=>aElementOf0(X1,xP))))&xP=cS1241(xU,xf,xT)),file('/tmp/SRASS.s.p', m__1244)).
% fof(19, axiom,(((((aElementOf0(xp,xU)&aElementOf0(xp,xU))&![X1]:(aElementOf0(X1,xP)=>sdtlseqdt0(xp,X1)))&aLowerBoundOfIn0(xp,xP,xU))&![X1]:(((aElementOf0(X1,xU)&![X2]:(aElementOf0(X2,xP)=>sdtlseqdt0(X1,X2)))|aLowerBoundOfIn0(X1,xP,xU))=>sdtlseqdt0(X1,xp)))&aInfimumOfIn0(xp,xP,xU)),file('/tmp/SRASS.s.p', m__1261)).
% fof(20, axiom,(((![X1]:(aElementOf0(X1,xP)=>sdtlseqdt0(sdtlpdtrp0(xf,xp),X1))&aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU))&![X1]:(aElementOf0(X1,xT)=>sdtlseqdt0(X1,sdtlpdtrp0(xf,xp))))&aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)),file('/tmp/SRASS.s.p', m__1299)).
% fof(21, axiom,![X1]:![X2]:((aElement0(X1)&aElement0(X2))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X1))=>X1=X2)),file('/tmp/SRASS.s.p', mASymm)).
% fof(22, axiom,![X1]:(aSet0(X1)=>![X2]:(aElementOf0(X2,X1)=>aElement0(X2))),file('/tmp/SRASS.s.p', mEOfElem)).
% fof(25, axiom,![X1]:(aElement0(X1)=>sdtlseqdt0(X1,X1)),file('/tmp/SRASS.s.p', mARefl)).
% fof(30, conjecture,(((aElementOf0(xp,szDzozmdt0(xf))&sdtlpdtrp0(xf,xp)=xp)|aFixedPointOf0(xp,xf))&(((![X1]:(aElementOf0(X1,xT)=>sdtlseqdt0(X1,xp))|aUpperBoundOfIn0(xp,xT,xS))&![X1]:(((aElementOf0(X1,xS)&![X2]:(aElementOf0(X2,xT)=>sdtlseqdt0(X2,X1)))&aUpperBoundOfIn0(X1,xT,xS))=>sdtlseqdt0(xp,X1)))|aSupremumOfIn0(xp,xT,xS))),file('/tmp/SRASS.s.p', m__)).
% fof(31, negated_conjecture,~((((aElementOf0(xp,szDzozmdt0(xf))&sdtlpdtrp0(xf,xp)=xp)|aFixedPointOf0(xp,xf))&(((![X1]:(aElementOf0(X1,xT)=>sdtlseqdt0(X1,xp))|aUpperBoundOfIn0(xp,xT,xS))&![X1]:(((aElementOf0(X1,xS)&![X2]:(aElementOf0(X2,xT)=>sdtlseqdt0(X2,X1)))&aUpperBoundOfIn0(X1,xT,xS))=>sdtlseqdt0(xp,X1)))|aSupremumOfIn0(xp,xT,xS)))),inference(assume_negation,[status(cth)],[30])).
% fof(32, plain,((((((((aSet0(xU)&![X1]:(((aSet0(X1)&![X2]:(aElementOf0(X2,X1)=>aElementOf0(X2,xU)))|aSubsetOf0(X1,xU))=>?[X2]:(((((aElementOf0(X2,xU)&![X3]:(aElementOf0(X3,X1)=>sdtlseqdt0(X2,X3)))&aLowerBoundOfIn0(X2,X1,xU))&![X3]:(((aElementOf0(X3,xU)&![X4]:(aElementOf0(X4,X1)=>sdtlseqdt0(X3,X4)))|aLowerBoundOfIn0(X3,X1,xU))=>sdtlseqdt0(X3,X2)))&aInfimumOfIn0(X2,X1,xU))&?[X3]:((((aElementOf0(X3,xU)&![X4]:(aElementOf0(X4,X1)=>sdtlseqdt0(X4,X3)))&aUpperBoundOfIn0(X3,X1,xU))&![X4]:(((aElementOf0(X4,xU)&![X5]:(aElementOf0(X5,X1)=>sdtlseqdt0(X5,X4)))|aUpperBoundOfIn0(X4,X1,xU))=>sdtlseqdt0(X3,X4)))&aSupremumOfIn0(X3,X1,xU)))))&aCompleteLattice0(xU))&aFunction0(xf))&![X1]:![X2]:((aElementOf0(X1,szDzozmdt0(xf))&aElementOf0(X2,szDzozmdt0(xf)))=>(sdtlseqdt0(X1,X2)=>sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2)))))&isMonotone0(xf))&szDzozmdt0(xf)=szRzazndt0(xf))&szRzazndt0(xf)=xU)&isOn0(xf,xU)),inference(fof_simplification,[status(thm)],[15,theory(equality)])).
% fof(33, plain,((((aElementOf0(xp,xU)&![X1]:(aElementOf0(X1,xP)=>sdtlseqdt0(xp,X1)))&aLowerBoundOfIn0(xp,xP,xU))&![X1]:(((aElementOf0(X1,xU)&![X2]:(aElementOf0(X2,xP)=>sdtlseqdt0(X1,X2)))|aLowerBoundOfIn0(X1,xP,xU))=>sdtlseqdt0(X1,xp)))&aInfimumOfIn0(xp,xP,xU)),inference(fof_simplification,[status(thm)],[19,theory(equality)])).
% fof(38, plain,![X1]:(epred1_1(X1)=>?[X2]:(((((aElementOf0(X2,xU)&![X3]:(aElementOf0(X3,X1)=>sdtlseqdt0(X2,X3)))&aLowerBoundOfIn0(X2,X1,xU))&![X3]:(((aElementOf0(X3,xU)&![X4]:(aElementOf0(X4,X1)=>sdtlseqdt0(X3,X4)))|aLowerBoundOfIn0(X3,X1,xU))=>sdtlseqdt0(X3,X2)))&aInfimumOfIn0(X2,X1,xU))&?[X3]:((((aElementOf0(X3,xU)&![X4]:(aElementOf0(X4,X1)=>sdtlseqdt0(X4,X3)))&aUpperBoundOfIn0(X3,X1,xU))&![X4]:(((aElementOf0(X4,xU)&![X5]:(aElementOf0(X5,X1)=>sdtlseqdt0(X5,X4)))|aUpperBoundOfIn0(X4,X1,xU))=>sdtlseqdt0(X3,X4)))&aSupremumOfIn0(X3,X1,xU)))),introduced(definition)).
% fof(39, plain,((((((((aSet0(xU)&![X1]:(((aSet0(X1)&![X2]:(aElementOf0(X2,X1)=>aElementOf0(X2,xU)))|aSubsetOf0(X1,xU))=>epred1_1(X1)))&aCompleteLattice0(xU))&aFunction0(xf))&![X1]:![X2]:((aElementOf0(X1,szDzozmdt0(xf))&aElementOf0(X2,szDzozmdt0(xf)))=>(sdtlseqdt0(X1,X2)=>sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2)))))&isMonotone0(xf))&szDzozmdt0(xf)=szRzazndt0(xf))&szRzazndt0(xf)=xU)&isOn0(xf,xU)),inference(apply_def,[status(esa)],[32,38,theory(equality)])).
% fof(117, plain,![X1]:(~(aFunction0(X1))|![X2]:(~(aElementOf0(X2,szDzozmdt0(X1)))|aElementOf0(sdtlpdtrp0(X1,X2),szRzazndt0(X1)))),inference(fof_nnf,[status(thm)],[12])).
% fof(118, plain,![X3]:(~(aFunction0(X3))|![X4]:(~(aElementOf0(X4,szDzozmdt0(X3)))|aElementOf0(sdtlpdtrp0(X3,X4),szRzazndt0(X3)))),inference(variable_rename,[status(thm)],[117])).
% fof(119, plain,![X3]:![X4]:((~(aElementOf0(X4,szDzozmdt0(X3)))|aElementOf0(sdtlpdtrp0(X3,X4),szRzazndt0(X3)))|~(aFunction0(X3))),inference(shift_quantors,[status(thm)],[118])).
% cnf(120,plain,(aElementOf0(sdtlpdtrp0(X1,X2),szRzazndt0(X1))|~aFunction0(X1)|~aElementOf0(X2,szDzozmdt0(X1))),inference(split_conjunct,[status(thm)],[119])).
% fof(138, plain,((((((((aSet0(xU)&![X1]:(((~(aSet0(X1))|?[X2]:(aElementOf0(X2,X1)&~(aElementOf0(X2,xU))))&~(aSubsetOf0(X1,xU)))|epred1_1(X1)))&aCompleteLattice0(xU))&aFunction0(xf))&![X1]:![X2]:((~(aElementOf0(X1,szDzozmdt0(xf)))|~(aElementOf0(X2,szDzozmdt0(xf))))|(~(sdtlseqdt0(X1,X2))|sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2)))))&isMonotone0(xf))&szDzozmdt0(xf)=szRzazndt0(xf))&szRzazndt0(xf)=xU)&isOn0(xf,xU)),inference(fof_nnf,[status(thm)],[39])).
% fof(139, plain,((((((((aSet0(xU)&![X3]:(((~(aSet0(X3))|?[X4]:(aElementOf0(X4,X3)&~(aElementOf0(X4,xU))))&~(aSubsetOf0(X3,xU)))|epred1_1(X3)))&aCompleteLattice0(xU))&aFunction0(xf))&![X5]:![X6]:((~(aElementOf0(X5,szDzozmdt0(xf)))|~(aElementOf0(X6,szDzozmdt0(xf))))|(~(sdtlseqdt0(X5,X6))|sdtlseqdt0(sdtlpdtrp0(xf,X5),sdtlpdtrp0(xf,X6)))))&isMonotone0(xf))&szDzozmdt0(xf)=szRzazndt0(xf))&szRzazndt0(xf)=xU)&isOn0(xf,xU)),inference(variable_rename,[status(thm)],[138])).
% fof(140, plain,((((((((aSet0(xU)&![X3]:(((~(aSet0(X3))|(aElementOf0(esk11_1(X3),X3)&~(aElementOf0(esk11_1(X3),xU))))&~(aSubsetOf0(X3,xU)))|epred1_1(X3)))&aCompleteLattice0(xU))&aFunction0(xf))&![X5]:![X6]:((~(aElementOf0(X5,szDzozmdt0(xf)))|~(aElementOf0(X6,szDzozmdt0(xf))))|(~(sdtlseqdt0(X5,X6))|sdtlseqdt0(sdtlpdtrp0(xf,X5),sdtlpdtrp0(xf,X6)))))&isMonotone0(xf))&szDzozmdt0(xf)=szRzazndt0(xf))&szRzazndt0(xf)=xU)&isOn0(xf,xU)),inference(skolemize,[status(esa)],[139])).
% fof(141, plain,![X3]:![X5]:![X6]:(((((((~(aElementOf0(X5,szDzozmdt0(xf)))|~(aElementOf0(X6,szDzozmdt0(xf))))|(~(sdtlseqdt0(X5,X6))|sdtlseqdt0(sdtlpdtrp0(xf,X5),sdtlpdtrp0(xf,X6))))&((((((~(aSet0(X3))|(aElementOf0(esk11_1(X3),X3)&~(aElementOf0(esk11_1(X3),xU))))&~(aSubsetOf0(X3,xU)))|epred1_1(X3))&aSet0(xU))&aCompleteLattice0(xU))&aFunction0(xf)))&isMonotone0(xf))&szDzozmdt0(xf)=szRzazndt0(xf))&szRzazndt0(xf)=xU)&isOn0(xf,xU)),inference(shift_quantors,[status(thm)],[140])).
% fof(142, plain,![X3]:![X5]:![X6]:(((((((~(aElementOf0(X5,szDzozmdt0(xf)))|~(aElementOf0(X6,szDzozmdt0(xf))))|(~(sdtlseqdt0(X5,X6))|sdtlseqdt0(sdtlpdtrp0(xf,X5),sdtlpdtrp0(xf,X6))))&(((((((aElementOf0(esk11_1(X3),X3)|~(aSet0(X3)))|epred1_1(X3))&((~(aElementOf0(esk11_1(X3),xU))|~(aSet0(X3)))|epred1_1(X3)))&(~(aSubsetOf0(X3,xU))|epred1_1(X3)))&aSet0(xU))&aCompleteLattice0(xU))&aFunction0(xf)))&isMonotone0(xf))&szDzozmdt0(xf)=szRzazndt0(xf))&szRzazndt0(xf)=xU)&isOn0(xf,xU)),inference(distribute,[status(thm)],[141])).
% cnf(144,plain,(szRzazndt0(xf)=xU),inference(split_conjunct,[status(thm)],[142])).
% cnf(145,plain,(szDzozmdt0(xf)=szRzazndt0(xf)),inference(split_conjunct,[status(thm)],[142])).
% cnf(147,plain,(aFunction0(xf)),inference(split_conjunct,[status(thm)],[142])).
% cnf(149,plain,(aSet0(xU)),inference(split_conjunct,[status(thm)],[142])).
% cnf(153,plain,(sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2))|~sdtlseqdt0(X1,X2)|~aElementOf0(X2,szDzozmdt0(xf))|~aElementOf0(X1,szDzozmdt0(xf))),inference(split_conjunct,[status(thm)],[142])).
% fof(154, plain,((aSet0(xS)&![X1]:((~(aElementOf0(X1,xS))|((aElementOf0(X1,szDzozmdt0(xf))&sdtlpdtrp0(xf,X1)=X1)&aFixedPointOf0(X1,xf)))&(((~(aElementOf0(X1,szDzozmdt0(xf)))|~(sdtlpdtrp0(xf,X1)=X1))&~(aFixedPointOf0(X1,xf)))|aElementOf0(X1,xS))))&xS=cS1142(xf)),inference(fof_nnf,[status(thm)],[16])).
% fof(155, plain,((aSet0(xS)&![X2]:((~(aElementOf0(X2,xS))|((aElementOf0(X2,szDzozmdt0(xf))&sdtlpdtrp0(xf,X2)=X2)&aFixedPointOf0(X2,xf)))&(((~(aElementOf0(X2,szDzozmdt0(xf)))|~(sdtlpdtrp0(xf,X2)=X2))&~(aFixedPointOf0(X2,xf)))|aElementOf0(X2,xS))))&xS=cS1142(xf)),inference(variable_rename,[status(thm)],[154])).
% fof(156, plain,![X2]:((((~(aElementOf0(X2,xS))|((aElementOf0(X2,szDzozmdt0(xf))&sdtlpdtrp0(xf,X2)=X2)&aFixedPointOf0(X2,xf)))&(((~(aElementOf0(X2,szDzozmdt0(xf)))|~(sdtlpdtrp0(xf,X2)=X2))&~(aFixedPointOf0(X2,xf)))|aElementOf0(X2,xS)))&aSet0(xS))&xS=cS1142(xf)),inference(shift_quantors,[status(thm)],[155])).
% fof(157, plain,![X2]:((((((aElementOf0(X2,szDzozmdt0(xf))|~(aElementOf0(X2,xS)))&(sdtlpdtrp0(xf,X2)=X2|~(aElementOf0(X2,xS))))&(aFixedPointOf0(X2,xf)|~(aElementOf0(X2,xS))))&(((~(aElementOf0(X2,szDzozmdt0(xf)))|~(sdtlpdtrp0(xf,X2)=X2))|aElementOf0(X2,xS))&(~(aFixedPointOf0(X2,xf))|aElementOf0(X2,xS))))&aSet0(xS))&xS=cS1142(xf)),inference(distribute,[status(thm)],[156])).
% cnf(159,plain,(aSet0(xS)),inference(split_conjunct,[status(thm)],[157])).
% cnf(161,plain,(aElementOf0(X1,xS)|sdtlpdtrp0(xf,X1)!=X1|~aElementOf0(X1,szDzozmdt0(xf))),inference(split_conjunct,[status(thm)],[157])).
% cnf(162,plain,(aFixedPointOf0(X1,xf)|~aElementOf0(X1,xS)),inference(split_conjunct,[status(thm)],[157])).
% cnf(163,plain,(sdtlpdtrp0(xf,X1)=X1|~aElementOf0(X1,xS)),inference(split_conjunct,[status(thm)],[157])).
% cnf(164,plain,(aElementOf0(X1,szDzozmdt0(xf))|~aElementOf0(X1,xS)),inference(split_conjunct,[status(thm)],[157])).
% fof(171, plain,((aSet0(xP)&![X1]:((~(aElementOf0(X1,xP))|(((aElementOf0(X1,xU)&sdtlseqdt0(sdtlpdtrp0(xf,X1),X1))&![X2]:(~(aElementOf0(X2,xT))|sdtlseqdt0(X2,X1)))&aUpperBoundOfIn0(X1,xT,xU)))&(((~(aElementOf0(X1,xU))|~(sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)))|(?[X2]:(aElementOf0(X2,xT)&~(sdtlseqdt0(X2,X1)))&~(aUpperBoundOfIn0(X1,xT,xU))))|aElementOf0(X1,xP))))&xP=cS1241(xU,xf,xT)),inference(fof_nnf,[status(thm)],[18])).
% fof(172, plain,((aSet0(xP)&![X3]:((~(aElementOf0(X3,xP))|(((aElementOf0(X3,xU)&sdtlseqdt0(sdtlpdtrp0(xf,X3),X3))&![X4]:(~(aElementOf0(X4,xT))|sdtlseqdt0(X4,X3)))&aUpperBoundOfIn0(X3,xT,xU)))&(((~(aElementOf0(X3,xU))|~(sdtlseqdt0(sdtlpdtrp0(xf,X3),X3)))|(?[X5]:(aElementOf0(X5,xT)&~(sdtlseqdt0(X5,X3)))&~(aUpperBoundOfIn0(X3,xT,xU))))|aElementOf0(X3,xP))))&xP=cS1241(xU,xf,xT)),inference(variable_rename,[status(thm)],[171])).
% fof(173, plain,((aSet0(xP)&![X3]:((~(aElementOf0(X3,xP))|(((aElementOf0(X3,xU)&sdtlseqdt0(sdtlpdtrp0(xf,X3),X3))&![X4]:(~(aElementOf0(X4,xT))|sdtlseqdt0(X4,X3)))&aUpperBoundOfIn0(X3,xT,xU)))&(((~(aElementOf0(X3,xU))|~(sdtlseqdt0(sdtlpdtrp0(xf,X3),X3)))|((aElementOf0(esk12_1(X3),xT)&~(sdtlseqdt0(esk12_1(X3),X3)))&~(aUpperBoundOfIn0(X3,xT,xU))))|aElementOf0(X3,xP))))&xP=cS1241(xU,xf,xT)),inference(skolemize,[status(esa)],[172])).
% fof(174, plain,![X3]:![X4]:(((((((~(aElementOf0(X4,xT))|sdtlseqdt0(X4,X3))&(aElementOf0(X3,xU)&sdtlseqdt0(sdtlpdtrp0(xf,X3),X3)))&aUpperBoundOfIn0(X3,xT,xU))|~(aElementOf0(X3,xP)))&(((~(aElementOf0(X3,xU))|~(sdtlseqdt0(sdtlpdtrp0(xf,X3),X3)))|((aElementOf0(esk12_1(X3),xT)&~(sdtlseqdt0(esk12_1(X3),X3)))&~(aUpperBoundOfIn0(X3,xT,xU))))|aElementOf0(X3,xP)))&aSet0(xP))&xP=cS1241(xU,xf,xT)),inference(shift_quantors,[status(thm)],[173])).
% fof(175, plain,![X3]:![X4]:(((((((~(aElementOf0(X4,xT))|sdtlseqdt0(X4,X3))|~(aElementOf0(X3,xP)))&((aElementOf0(X3,xU)|~(aElementOf0(X3,xP)))&(sdtlseqdt0(sdtlpdtrp0(xf,X3),X3)|~(aElementOf0(X3,xP)))))&(aUpperBoundOfIn0(X3,xT,xU)|~(aElementOf0(X3,xP))))&((((aElementOf0(esk12_1(X3),xT)|(~(aElementOf0(X3,xU))|~(sdtlseqdt0(sdtlpdtrp0(xf,X3),X3))))|aElementOf0(X3,xP))&((~(sdtlseqdt0(esk12_1(X3),X3))|(~(aElementOf0(X3,xU))|~(sdtlseqdt0(sdtlpdtrp0(xf,X3),X3))))|aElementOf0(X3,xP)))&((~(aUpperBoundOfIn0(X3,xT,xU))|(~(aElementOf0(X3,xU))|~(sdtlseqdt0(sdtlpdtrp0(xf,X3),X3))))|aElementOf0(X3,xP))))&aSet0(xP))&xP=cS1241(xU,xf,xT)),inference(distribute,[status(thm)],[174])).
% cnf(177,plain,(aSet0(xP)),inference(split_conjunct,[status(thm)],[175])).
% cnf(178,plain,(aElementOf0(X1,xP)|~sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)|~aElementOf0(X1,xU)|~aUpperBoundOfIn0(X1,xT,xU)),inference(split_conjunct,[status(thm)],[175])).
% cnf(179,plain,(aElementOf0(X1,xP)|~sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)|~aElementOf0(X1,xU)|~sdtlseqdt0(esk12_1(X1),X1)),inference(split_conjunct,[status(thm)],[175])).
% cnf(180,plain,(aElementOf0(X1,xP)|aElementOf0(esk12_1(X1),xT)|~sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)|~aElementOf0(X1,xU)),inference(split_conjunct,[status(thm)],[175])).
% fof(185, plain,((((aElementOf0(xp,xU)&![X1]:(~(aElementOf0(X1,xP))|sdtlseqdt0(xp,X1)))&aLowerBoundOfIn0(xp,xP,xU))&![X1]:(((~(aElementOf0(X1,xU))|?[X2]:(aElementOf0(X2,xP)&~(sdtlseqdt0(X1,X2))))&~(aLowerBoundOfIn0(X1,xP,xU)))|sdtlseqdt0(X1,xp)))&aInfimumOfIn0(xp,xP,xU)),inference(fof_nnf,[status(thm)],[33])).
% fof(186, plain,((((aElementOf0(xp,xU)&![X3]:(~(aElementOf0(X3,xP))|sdtlseqdt0(xp,X3)))&aLowerBoundOfIn0(xp,xP,xU))&![X4]:(((~(aElementOf0(X4,xU))|?[X5]:(aElementOf0(X5,xP)&~(sdtlseqdt0(X4,X5))))&~(aLowerBoundOfIn0(X4,xP,xU)))|sdtlseqdt0(X4,xp)))&aInfimumOfIn0(xp,xP,xU)),inference(variable_rename,[status(thm)],[185])).
% fof(187, plain,((((aElementOf0(xp,xU)&![X3]:(~(aElementOf0(X3,xP))|sdtlseqdt0(xp,X3)))&aLowerBoundOfIn0(xp,xP,xU))&![X4]:(((~(aElementOf0(X4,xU))|(aElementOf0(esk13_1(X4),xP)&~(sdtlseqdt0(X4,esk13_1(X4)))))&~(aLowerBoundOfIn0(X4,xP,xU)))|sdtlseqdt0(X4,xp)))&aInfimumOfIn0(xp,xP,xU)),inference(skolemize,[status(esa)],[186])).
% fof(188, plain,![X3]:![X4]:(((((~(aElementOf0(X4,xU))|(aElementOf0(esk13_1(X4),xP)&~(sdtlseqdt0(X4,esk13_1(X4)))))&~(aLowerBoundOfIn0(X4,xP,xU)))|sdtlseqdt0(X4,xp))&(((~(aElementOf0(X3,xP))|sdtlseqdt0(xp,X3))&aElementOf0(xp,xU))&aLowerBoundOfIn0(xp,xP,xU)))&aInfimumOfIn0(xp,xP,xU)),inference(shift_quantors,[status(thm)],[187])).
% fof(189, plain,![X3]:![X4]:((((((aElementOf0(esk13_1(X4),xP)|~(aElementOf0(X4,xU)))|sdtlseqdt0(X4,xp))&((~(sdtlseqdt0(X4,esk13_1(X4)))|~(aElementOf0(X4,xU)))|sdtlseqdt0(X4,xp)))&(~(aLowerBoundOfIn0(X4,xP,xU))|sdtlseqdt0(X4,xp)))&(((~(aElementOf0(X3,xP))|sdtlseqdt0(xp,X3))&aElementOf0(xp,xU))&aLowerBoundOfIn0(xp,xP,xU)))&aInfimumOfIn0(xp,xP,xU)),inference(distribute,[status(thm)],[188])).
% cnf(192,plain,(aElementOf0(xp,xU)),inference(split_conjunct,[status(thm)],[189])).
% cnf(193,plain,(sdtlseqdt0(xp,X1)|~aElementOf0(X1,xP)),inference(split_conjunct,[status(thm)],[189])).
% cnf(194,plain,(sdtlseqdt0(X1,xp)|~aLowerBoundOfIn0(X1,xP,xU)),inference(split_conjunct,[status(thm)],[189])).
% fof(197, plain,(((![X1]:(~(aElementOf0(X1,xP))|sdtlseqdt0(sdtlpdtrp0(xf,xp),X1))&aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU))&![X1]:(~(aElementOf0(X1,xT))|sdtlseqdt0(X1,sdtlpdtrp0(xf,xp))))&aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)),inference(fof_nnf,[status(thm)],[20])).
% fof(198, plain,(((![X2]:(~(aElementOf0(X2,xP))|sdtlseqdt0(sdtlpdtrp0(xf,xp),X2))&aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU))&![X3]:(~(aElementOf0(X3,xT))|sdtlseqdt0(X3,sdtlpdtrp0(xf,xp))))&aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)),inference(variable_rename,[status(thm)],[197])).
% fof(199, plain,![X2]:![X3]:(((~(aElementOf0(X3,xT))|sdtlseqdt0(X3,sdtlpdtrp0(xf,xp)))&((~(aElementOf0(X2,xP))|sdtlseqdt0(sdtlpdtrp0(xf,xp),X2))&aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)))&aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)),inference(shift_quantors,[status(thm)],[198])).
% cnf(200,plain,(aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)),inference(split_conjunct,[status(thm)],[199])).
% cnf(201,plain,(aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)),inference(split_conjunct,[status(thm)],[199])).
% cnf(203,plain,(sdtlseqdt0(X1,sdtlpdtrp0(xf,xp))|~aElementOf0(X1,xT)),inference(split_conjunct,[status(thm)],[199])).
% fof(204, plain,![X1]:![X2]:((~(aElement0(X1))|~(aElement0(X2)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[21])).
% fof(205, plain,![X3]:![X4]:((~(aElement0(X3))|~(aElement0(X4)))|((~(sdtlseqdt0(X3,X4))|~(sdtlseqdt0(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[204])).
% cnf(206,plain,(X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aElement0(X2)|~aElement0(X1)),inference(split_conjunct,[status(thm)],[205])).
% fof(207, plain,![X1]:(~(aSet0(X1))|![X2]:(~(aElementOf0(X2,X1))|aElement0(X2))),inference(fof_nnf,[status(thm)],[22])).
% fof(208, plain,![X3]:(~(aSet0(X3))|![X4]:(~(aElementOf0(X4,X3))|aElement0(X4))),inference(variable_rename,[status(thm)],[207])).
% fof(209, plain,![X3]:![X4]:((~(aElementOf0(X4,X3))|aElement0(X4))|~(aSet0(X3))),inference(shift_quantors,[status(thm)],[208])).
% cnf(210,plain,(aElement0(X2)|~aSet0(X1)|~aElementOf0(X2,X1)),inference(split_conjunct,[status(thm)],[209])).
% fof(220, plain,![X1]:(~(aElement0(X1))|sdtlseqdt0(X1,X1)),inference(fof_nnf,[status(thm)],[25])).
% fof(221, plain,![X2]:(~(aElement0(X2))|sdtlseqdt0(X2,X2)),inference(variable_rename,[status(thm)],[220])).
% cnf(222,plain,(sdtlseqdt0(X1,X1)|~aElement0(X1)),inference(split_conjunct,[status(thm)],[221])).
% fof(232, negated_conjecture,(((~(aElementOf0(xp,szDzozmdt0(xf)))|~(sdtlpdtrp0(xf,xp)=xp))&~(aFixedPointOf0(xp,xf)))|(((?[X1]:(aElementOf0(X1,xT)&~(sdtlseqdt0(X1,xp)))&~(aUpperBoundOfIn0(xp,xT,xS)))|?[X1]:(((aElementOf0(X1,xS)&![X2]:(~(aElementOf0(X2,xT))|sdtlseqdt0(X2,X1)))&aUpperBoundOfIn0(X1,xT,xS))&~(sdtlseqdt0(xp,X1))))&~(aSupremumOfIn0(xp,xT,xS)))),inference(fof_nnf,[status(thm)],[31])).
% fof(233, negated_conjecture,(((~(aElementOf0(xp,szDzozmdt0(xf)))|~(sdtlpdtrp0(xf,xp)=xp))&~(aFixedPointOf0(xp,xf)))|(((?[X3]:(aElementOf0(X3,xT)&~(sdtlseqdt0(X3,xp)))&~(aUpperBoundOfIn0(xp,xT,xS)))|?[X4]:(((aElementOf0(X4,xS)&![X5]:(~(aElementOf0(X5,xT))|sdtlseqdt0(X5,X4)))&aUpperBoundOfIn0(X4,xT,xS))&~(sdtlseqdt0(xp,X4))))&~(aSupremumOfIn0(xp,xT,xS)))),inference(variable_rename,[status(thm)],[232])).
% fof(234, negated_conjecture,(((~(aElementOf0(xp,szDzozmdt0(xf)))|~(sdtlpdtrp0(xf,xp)=xp))&~(aFixedPointOf0(xp,xf)))|((((aElementOf0(esk15_0,xT)&~(sdtlseqdt0(esk15_0,xp)))&~(aUpperBoundOfIn0(xp,xT,xS)))|(((aElementOf0(esk16_0,xS)&![X5]:(~(aElementOf0(X5,xT))|sdtlseqdt0(X5,esk16_0)))&aUpperBoundOfIn0(esk16_0,xT,xS))&~(sdtlseqdt0(xp,esk16_0))))&~(aSupremumOfIn0(xp,xT,xS)))),inference(skolemize,[status(esa)],[233])).
% fof(235, negated_conjecture,![X5]:(((((((~(aElementOf0(X5,xT))|sdtlseqdt0(X5,esk16_0))&aElementOf0(esk16_0,xS))&aUpperBoundOfIn0(esk16_0,xT,xS))&~(sdtlseqdt0(xp,esk16_0)))|((aElementOf0(esk15_0,xT)&~(sdtlseqdt0(esk15_0,xp)))&~(aUpperBoundOfIn0(xp,xT,xS))))&~(aSupremumOfIn0(xp,xT,xS)))|((~(aElementOf0(xp,szDzozmdt0(xf)))|~(sdtlpdtrp0(xf,xp)=xp))&~(aFixedPointOf0(xp,xf)))),inference(shift_quantors,[status(thm)],[234])).
% fof(236, negated_conjecture,![X5]:(((((((((~(aElementOf0(xp,szDzozmdt0(xf)))|~(sdtlpdtrp0(xf,xp)=xp))|(aElementOf0(esk15_0,xT)|(~(aElementOf0(X5,xT))|sdtlseqdt0(X5,esk16_0))))&(~(aFixedPointOf0(xp,xf))|(aElementOf0(esk15_0,xT)|(~(aElementOf0(X5,xT))|sdtlseqdt0(X5,esk16_0)))))&(((~(aElementOf0(xp,szDzozmdt0(xf)))|~(sdtlpdtrp0(xf,xp)=xp))|(~(sdtlseqdt0(esk15_0,xp))|(~(aElementOf0(X5,xT))|sdtlseqdt0(X5,esk16_0))))&(~(aFixedPointOf0(xp,xf))|(~(sdtlseqdt0(esk15_0,xp))|(~(aElementOf0(X5,xT))|sdtlseqdt0(X5,esk16_0))))))&(((~(aElementOf0(xp,szDzozmdt0(xf)))|~(sdtlpdtrp0(xf,xp)=xp))|(~(aUpperBoundOfIn0(xp,xT,xS))|(~(aElementOf0(X5,xT))|sdtlseqdt0(X5,esk16_0))))&(~(aFixedPointOf0(xp,xf))|(~(aUpperBoundOfIn0(xp,xT,xS))|(~(aElementOf0(X5,xT))|sdtlseqdt0(X5,esk16_0))))))&(((((~(aElementOf0(xp,szDzozmdt0(xf)))|~(sdtlpdtrp0(xf,xp)=xp))|(aElementOf0(esk15_0,xT)|aElementOf0(esk16_0,xS)))&(~(aFixedPointOf0(xp,xf))|(aElementOf0(esk15_0,xT)|aElementOf0(esk16_0,xS))))&(((~(aElementOf0(xp,szDzozmdt0(xf)))|~(sdtlpdtrp0(xf,xp)=xp))|(~(sdtlseqdt0(esk15_0,xp))|aElementOf0(esk16_0,xS)))&(~(aFixedPointOf0(xp,xf))|(~(sdtlseqdt0(esk15_0,xp))|aElementOf0(esk16_0,xS)))))&(((~(aElementOf0(xp,szDzozmdt0(xf)))|~(sdtlpdtrp0(xf,xp)=xp))|(~(aUpperBoundOfIn0(xp,xT,xS))|aElementOf0(esk16_0,xS)))&(~(aFixedPointOf0(xp,xf))|(~(aUpperBoundOfIn0(xp,xT,xS))|aElementOf0(esk16_0,xS))))))&(((((~(aElementOf0(xp,szDzozmdt0(xf)))|~(sdtlpdtrp0(xf,xp)=xp))|(aElementOf0(esk15_0,xT)|aUpperBoundOfIn0(esk16_0,xT,xS)))&(~(aFixedPointOf0(xp,xf))|(aElementOf0(esk15_0,xT)|aUpperBoundOfIn0(esk16_0,xT,xS))))&(((~(aElementOf0(xp,szDzozmdt0(xf)))|~(sdtlpdtrp0(xf,xp)=xp))|(~(sdtlseqdt0(esk15_0,xp))|aUpperBoundOfIn0(esk16_0,xT,xS)))&(~(aFixedPointOf0(xp,xf))|(~(sdtlseqdt0(esk15_0,xp))|aUpperBoundOfIn0(esk16_0,xT,xS)))))&(((~(aElementOf0(xp,szDzozmdt0(xf)))|~(sdtlpdtrp0(xf,xp)=xp))|(~(aUpperBoundOfIn0(xp,xT,xS))|aUpperBoundOfIn0(esk16_0,xT,xS)))&(~(aFixedPointOf0(xp,xf))|(~(aUpperBoundOfIn0(xp,xT,xS))|aUpperBoundOfIn0(esk16_0,xT,xS))))))&(((((~(aElementOf0(xp,szDzozmdt0(xf)))|~(sdtlpdtrp0(xf,xp)=xp))|(aElementOf0(esk15_0,xT)|~(sdtlseqdt0(xp,esk16_0))))&(~(aFixedPointOf0(xp,xf))|(aElementOf0(esk15_0,xT)|~(sdtlseqdt0(xp,esk16_0)))))&(((~(aElementOf0(xp,szDzozmdt0(xf)))|~(sdtlpdtrp0(xf,xp)=xp))|(~(sdtlseqdt0(esk15_0,xp))|~(sdtlseqdt0(xp,esk16_0))))&(~(aFixedPointOf0(xp,xf))|(~(sdtlseqdt0(esk15_0,xp))|~(sdtlseqdt0(xp,esk16_0))))))&(((~(aElementOf0(xp,szDzozmdt0(xf)))|~(sdtlpdtrp0(xf,xp)=xp))|(~(aUpperBoundOfIn0(xp,xT,xS))|~(sdtlseqdt0(xp,esk16_0))))&(~(aFixedPointOf0(xp,xf))|(~(aUpperBoundOfIn0(xp,xT,xS))|~(sdtlseqdt0(xp,esk16_0)))))))&(((~(aElementOf0(xp,szDzozmdt0(xf)))|~(sdtlpdtrp0(xf,xp)=xp))|~(aSupremumOfIn0(xp,xT,xS)))&(~(aFixedPointOf0(xp,xf))|~(aSupremumOfIn0(xp,xT,xS))))),inference(distribute,[status(thm)],[235])).
% cnf(241,negated_conjecture,(~sdtlseqdt0(xp,esk16_0)|~sdtlseqdt0(esk15_0,xp)|~aFixedPointOf0(xp,xf)),inference(split_conjunct,[status(thm)],[236])).
% cnf(243,negated_conjecture,(aElementOf0(esk15_0,xT)|~sdtlseqdt0(xp,esk16_0)|~aFixedPointOf0(xp,xf)),inference(split_conjunct,[status(thm)],[236])).
% cnf(253,negated_conjecture,(aElementOf0(esk16_0,xS)|~sdtlseqdt0(esk15_0,xp)|~aFixedPointOf0(xp,xf)),inference(split_conjunct,[status(thm)],[236])).
% cnf(255,negated_conjecture,(aElementOf0(esk16_0,xS)|aElementOf0(esk15_0,xT)|~aFixedPointOf0(xp,xf)),inference(split_conjunct,[status(thm)],[236])).
% cnf(259,negated_conjecture,(sdtlseqdt0(X1,esk16_0)|~aElementOf0(X1,xT)|~sdtlseqdt0(esk15_0,xp)|~aFixedPointOf0(xp,xf)),inference(split_conjunct,[status(thm)],[236])).
% cnf(261,negated_conjecture,(sdtlseqdt0(X1,esk16_0)|aElementOf0(esk15_0,xT)|~aElementOf0(X1,xT)|~aFixedPointOf0(xp,xf)),inference(split_conjunct,[status(thm)],[236])).
% cnf(282,plain,(xU=szDzozmdt0(xf)),inference(rw,[status(thm)],[145,144,theory(equality)])).
% cnf(283,plain,(aElementOf0(X1,xU)|~aElementOf0(X1,xS)),inference(rw,[status(thm)],[164,282,theory(equality)])).
% cnf(286,plain,(aElementOf0(X1,xS)|sdtlpdtrp0(xf,X1)!=X1|~aElementOf0(X1,xU)),inference(rw,[status(thm)],[161,282,theory(equality)])).
% cnf(311,plain,(sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2))|~sdtlseqdt0(X1,X2)|~aElementOf0(X2,xU)|~aElementOf0(X1,szDzozmdt0(xf))),inference(rw,[status(thm)],[153,282,theory(equality)])).
% cnf(312,plain,(sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2))|~sdtlseqdt0(X1,X2)|~aElementOf0(X2,xU)|~aElementOf0(X1,xU)),inference(rw,[status(thm)],[311,282,theory(equality)])).
% cnf(317,negated_conjecture,(aElementOf0(esk15_0,xT)|aElementOf0(esk16_0,xS)|~aElementOf0(xp,xS)),inference(spm,[status(thm)],[255,162,theory(equality)])).
% cnf(318,negated_conjecture,(aElementOf0(esk15_0,xT)|~sdtlseqdt0(xp,esk16_0)|~aElementOf0(xp,xS)),inference(spm,[status(thm)],[243,162,theory(equality)])).
% cnf(319,negated_conjecture,(aElementOf0(esk16_0,xS)|~sdtlseqdt0(esk15_0,xp)|~aElementOf0(xp,xS)),inference(spm,[status(thm)],[253,162,theory(equality)])).
% cnf(331,negated_conjecture,(~sdtlseqdt0(xp,esk16_0)|~sdtlseqdt0(esk15_0,xp)|~aElementOf0(xp,xS)),inference(spm,[status(thm)],[241,162,theory(equality)])).
% cnf(333,plain,(sdtlseqdt0(X1,xp)|~aElementOf0(X1,xT)|~aElementOf0(xp,xS)),inference(spm,[status(thm)],[203,163,theory(equality)])).
% cnf(346,negated_conjecture,(sdtlseqdt0(X1,esk16_0)|aElementOf0(esk15_0,xT)|~aElementOf0(X1,xT)|~aElementOf0(xp,xS)),inference(spm,[status(thm)],[261,162,theory(equality)])).
% cnf(347,negated_conjecture,(sdtlseqdt0(X1,esk16_0)|~sdtlseqdt0(esk15_0,xp)|~aElementOf0(X1,xT)|~aElementOf0(xp,xS)),inference(spm,[status(thm)],[259,162,theory(equality)])).
% cnf(373,plain,(aElement0(xp)|~aSet0(xU)),inference(spm,[status(thm)],[210,192,theory(equality)])).
% cnf(379,plain,(aElement0(xp)|$false),inference(rw,[status(thm)],[373,149,theory(equality)])).
% cnf(380,plain,(aElement0(xp)),inference(cn,[status(thm)],[379,theory(equality)])).
% cnf(396,plain,(sdtlseqdt0(sdtlpdtrp0(xf,xp),xp)),inference(spm,[status(thm)],[194,201,theory(equality)])).
% cnf(472,plain,(aElementOf0(sdtlpdtrp0(xf,X1),xP)|~aUpperBoundOfIn0(sdtlpdtrp0(xf,X1),xT,xU)|~aElementOf0(sdtlpdtrp0(xf,X1),xU)|~sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)|~aElementOf0(X1,xU)),inference(spm,[status(thm)],[178,312,theory(equality)])).
% cnf(480,plain,(aElementOf0(sdtlpdtrp0(xf,X1),xU)|~aFunction0(xf)|~aElementOf0(X1,szDzozmdt0(xf))),inference(spm,[status(thm)],[120,144,theory(equality)])).
% cnf(482,plain,(aElementOf0(sdtlpdtrp0(xf,X1),xU)|$false|~aElementOf0(X1,szDzozmdt0(xf))),inference(rw,[status(thm)],[480,147,theory(equality)])).
% cnf(483,plain,(aElementOf0(sdtlpdtrp0(xf,X1),xU)|$false|~aElementOf0(X1,xU)),inference(rw,[status(thm)],[482,282,theory(equality)])).
% cnf(484,plain,(aElementOf0(sdtlpdtrp0(xf,X1),xU)|~aElementOf0(X1,xU)),inference(cn,[status(thm)],[483,theory(equality)])).
% cnf(740,plain,(xp=sdtlpdtrp0(xf,xp)|~aElement0(sdtlpdtrp0(xf,xp))|~aElement0(xp)|~sdtlseqdt0(xp,sdtlpdtrp0(xf,xp))),inference(spm,[status(thm)],[206,396,theory(equality)])).
% cnf(872,negated_conjecture,(aElementOf0(esk16_0,xS)|~aElementOf0(xp,xS)|~aElementOf0(esk15_0,xT)),inference(spm,[status(thm)],[319,333,theory(equality)])).
% cnf(873,negated_conjecture,(~sdtlseqdt0(xp,esk16_0)|~aElementOf0(xp,xS)|~aElementOf0(esk15_0,xT)),inference(spm,[status(thm)],[331,333,theory(equality)])).
% cnf(894,negated_conjecture,(~sdtlseqdt0(xp,esk16_0)|~aElementOf0(xp,xS)),inference(csr,[status(thm)],[873,318])).
% cnf(896,negated_conjecture,(~aElementOf0(xp,xS)|~aElementOf0(esk16_0,xP)),inference(spm,[status(thm)],[894,193,theory(equality)])).
% cnf(904,negated_conjecture,(aElementOf0(esk16_0,xS)|~aElementOf0(xp,xS)),inference(csr,[status(thm)],[872,317])).
% cnf(906,negated_conjecture,(aElement0(esk16_0)|~aSet0(xS)|~aElementOf0(xp,xS)),inference(spm,[status(thm)],[210,904,theory(equality)])).
% cnf(907,negated_conjecture,(aElementOf0(esk16_0,xU)|~aElementOf0(xp,xS)),inference(spm,[status(thm)],[283,904,theory(equality)])).
% cnf(910,negated_conjecture,(aElement0(esk16_0)|$false|~aElementOf0(xp,xS)),inference(rw,[status(thm)],[906,159,theory(equality)])).
% cnf(911,negated_conjecture,(aElement0(esk16_0)|~aElementOf0(xp,xS)),inference(cn,[status(thm)],[910,theory(equality)])).
% cnf(931,negated_conjecture,(sdtlseqdt0(esk16_0,esk16_0)|~aElementOf0(xp,xS)),inference(spm,[status(thm)],[222,911,theory(equality)])).
% cnf(977,negated_conjecture,(sdtlseqdt0(X1,esk16_0)|~aElementOf0(xp,xS)|~aElementOf0(X1,xT)|~aElementOf0(esk15_0,xT)),inference(spm,[status(thm)],[347,333,theory(equality)])).
% cnf(995,negated_conjecture,(sdtlseqdt0(X1,esk16_0)|~aElementOf0(xp,xS)|~aElementOf0(X1,xT)),inference(csr,[status(thm)],[977,346])).
% cnf(997,negated_conjecture,(aElementOf0(esk16_0,xP)|~sdtlseqdt0(sdtlpdtrp0(xf,esk16_0),esk16_0)|~aElementOf0(esk16_0,xU)|~aElementOf0(xp,xS)|~aElementOf0(esk12_1(esk16_0),xT)),inference(spm,[status(thm)],[179,995,theory(equality)])).
% cnf(1647,plain,(aElementOf0(sdtlpdtrp0(xf,X1),xP)|~aUpperBoundOfIn0(sdtlpdtrp0(xf,X1),xT,xU)|~sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)|~aElementOf0(X1,xU)),inference(csr,[status(thm)],[472,484])).
% cnf(1650,plain,(aElementOf0(sdtlpdtrp0(xf,xp),xP)|~sdtlseqdt0(sdtlpdtrp0(xf,xp),xp)|~aElementOf0(xp,xU)),inference(spm,[status(thm)],[1647,200,theory(equality)])).
% cnf(1651,plain,(aElementOf0(sdtlpdtrp0(xf,xp),xP)|$false|~aElementOf0(xp,xU)),inference(rw,[status(thm)],[1650,396,theory(equality)])).
% cnf(1652,plain,(aElementOf0(sdtlpdtrp0(xf,xp),xP)|$false|$false),inference(rw,[status(thm)],[1651,192,theory(equality)])).
% cnf(1653,plain,(aElementOf0(sdtlpdtrp0(xf,xp),xP)),inference(cn,[status(thm)],[1652,theory(equality)])).
% cnf(1667,plain,(aElement0(sdtlpdtrp0(xf,xp))|~aSet0(xP)),inference(spm,[status(thm)],[210,1653,theory(equality)])).
% cnf(1675,plain,(aElement0(sdtlpdtrp0(xf,xp))|$false),inference(rw,[status(thm)],[1667,177,theory(equality)])).
% cnf(1676,plain,(aElement0(sdtlpdtrp0(xf,xp))),inference(cn,[status(thm)],[1675,theory(equality)])).
% cnf(1742,negated_conjecture,(aElementOf0(esk16_0,xP)|~sdtlseqdt0(sdtlpdtrp0(xf,esk16_0),esk16_0)|~aElementOf0(esk16_0,xU)|~aElementOf0(xp,xS)),inference(csr,[status(thm)],[997,180])).
% cnf(1743,negated_conjecture,(aElementOf0(esk16_0,xP)|~sdtlseqdt0(sdtlpdtrp0(xf,esk16_0),esk16_0)|~aElementOf0(xp,xS)),inference(csr,[status(thm)],[1742,907])).
% cnf(1744,negated_conjecture,(~sdtlseqdt0(sdtlpdtrp0(xf,esk16_0),esk16_0)|~aElementOf0(xp,xS)),inference(csr,[status(thm)],[1743,896])).
% cnf(1745,negated_conjecture,(~sdtlseqdt0(esk16_0,esk16_0)|~aElementOf0(xp,xS)|~aElementOf0(esk16_0,xS)),inference(spm,[status(thm)],[1744,163,theory(equality)])).
% cnf(1779,negated_conjecture,(~sdtlseqdt0(esk16_0,esk16_0)|~aElementOf0(xp,xS)),inference(csr,[status(thm)],[1745,904])).
% cnf(1780,negated_conjecture,(~aElementOf0(xp,xS)),inference(csr,[status(thm)],[1779,931])).
% cnf(1841,plain,(sdtlpdtrp0(xf,xp)=xp|$false|~aElement0(xp)|~sdtlseqdt0(xp,sdtlpdtrp0(xf,xp))),inference(rw,[status(thm)],[740,1676,theory(equality)])).
% cnf(1842,plain,(sdtlpdtrp0(xf,xp)=xp|$false|$false|~sdtlseqdt0(xp,sdtlpdtrp0(xf,xp))),inference(rw,[status(thm)],[1841,380,theory(equality)])).
% cnf(1843,plain,(sdtlpdtrp0(xf,xp)=xp|~sdtlseqdt0(xp,sdtlpdtrp0(xf,xp))),inference(cn,[status(thm)],[1842,theory(equality)])).
% cnf(1847,plain,(sdtlpdtrp0(xf,xp)=xp|~aElementOf0(sdtlpdtrp0(xf,xp),xP)),inference(spm,[status(thm)],[1843,193,theory(equality)])).
% cnf(1853,plain,(sdtlpdtrp0(xf,xp)=xp|$false),inference(rw,[status(thm)],[1847,1653,theory(equality)])).
% cnf(1854,plain,(sdtlpdtrp0(xf,xp)=xp),inference(cn,[status(thm)],[1853,theory(equality)])).
% cnf(1859,plain,(aElementOf0(xp,xS)|~aElementOf0(xp,xU)),inference(spm,[status(thm)],[286,1854,theory(equality)])).
% cnf(1930,plain,(aElementOf0(xp,xS)|$false),inference(rw,[status(thm)],[1859,192,theory(equality)])).
% cnf(1931,plain,(aElementOf0(xp,xS)),inference(cn,[status(thm)],[1930,theory(equality)])).
% cnf(1932,plain,($false),inference(sr,[status(thm)],[1931,1780,theory(equality)])).
% cnf(1933,plain,($false),1932,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 591
% # ...of these trivial : 7
% # ...subsumed : 119
% # ...remaining for further processing: 465
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 44
% # Backward-rewritten : 46
% # Generated clauses : 746
% # ...of the previous two non-trivial : 660
% # Contextual simplify-reflections : 141
% # Paramodulations : 744
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 243
% # Positive orientable unit clauses: 28
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 4
% # Non-unit-clauses : 211
% # Current number of unprocessed clauses: 248
% # ...number of literals in the above : 1373
% # Clause-clause subsumption calls (NU) : 2975
% # Rec. Clause-clause subsumption calls : 1596
% # Unit Clause-clause subsumption calls : 86
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 9
% # Indexed BW rewrite successes : 9
% # Backwards rewriting index: 245 leaves, 1.23+/-0.722 terms/leaf
% # Paramod-from index: 109 leaves, 1.03+/-0.164 terms/leaf
% # Paramod-into index: 208 leaves, 1.13+/-0.468 terms/leaf
% # -------------------------------------------------
% # User time : 0.086 s
% # System time : 0.007 s
% # Total time : 0.093 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.22 CPU 0.29 WC
% FINAL PrfWatch: 0.22 CPU 0.29 WC
% SZS output end Solution for /tmp/SystemOnTPTP13556/LAT387+4.tptp
%
%------------------------------------------------------------------------------