TSTP Solution File: RNG097+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : RNG097+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art07.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 22:32:24 EST 2010
% Result : Theorem 1.61s
% Output : Solution 1.61s
% 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/SystemOnTPTP4971/RNG097+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP4971/RNG097+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP4971/RNG097+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 5067
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.017 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,aElement0(sz10),file('/tmp/SRASS.s.p', mSortsC_01)).
% fof(2, axiom,![X1]:(aElement0(X1)=>aElement0(smndt0(X1))),file('/tmp/SRASS.s.p', mSortsU)).
% fof(3, axiom,![X1]:![X2]:((aElement0(X1)&aElement0(X2))=>aElement0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB)).
% fof(5, axiom,![X1]:![X2]:((aElement0(X1)&aElement0(X2))=>sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),file('/tmp/SRASS.s.p', mAddComm)).
% fof(6, axiom,![X1]:![X2]:![X3]:(((aElement0(X1)&aElement0(X2))&aElement0(X3))=>sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))),file('/tmp/SRASS.s.p', mAddAsso)).
% fof(7, axiom,![X1]:![X2]:((aElement0(X1)&aElement0(X2))=>sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),file('/tmp/SRASS.s.p', mMulComm)).
% fof(8, axiom,![X1]:![X2]:![X3]:(((aElement0(X1)&aElement0(X2))&aElement0(X3))=>sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))),file('/tmp/SRASS.s.p', mMulAsso)).
% fof(9, axiom,![X1]:(aElement0(X1)=>(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),file('/tmp/SRASS.s.p', mMulUnit)).
% fof(10, axiom,![X1]:![X2]:![X3]:(((aElement0(X1)&aElement0(X2))&aElement0(X3))=>(sdtasdt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))&sdtasdt0(sdtpldt0(X2,X3),X1)=sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)))),file('/tmp/SRASS.s.p', mAMDistr)).
% fof(11, axiom,![X1]:(aElement0(X1)=>(sdtasdt0(smndt0(sz10),X1)=smndt0(X1)&smndt0(X1)=sdtasdt0(X1,smndt0(sz10)))),file('/tmp/SRASS.s.p', mMulMnOne)).
% fof(13, axiom,(aIdeal0(xI)&aIdeal0(xJ)),file('/tmp/SRASS.s.p', m__1205)).
% fof(15, axiom,(aElement0(xx)&aElement0(xy)),file('/tmp/SRASS.s.p', m__1217)).
% fof(16, axiom,((aElementOf0(xa,xI)&aElementOf0(xb,xJ))&sdtpldt0(xa,xb)=sz10),file('/tmp/SRASS.s.p', m__1294)).
% fof(19, axiom,![X1]:(aIdeal0(X1)<=>(aSet0(X1)&![X2]:(aElementOf0(X2,X1)=>(![X3]:(aElementOf0(X3,X1)=>aElementOf0(sdtpldt0(X2,X3),X1))&![X3]:(aElement0(X3)=>aElementOf0(sdtasdt0(X3,X2),X1)))))),file('/tmp/SRASS.s.p', mDefIdeal)).
% fof(22, axiom,![X1]:(aElement0(X1)=>(sdtpldt0(X1,smndt0(X1))=sz00&sz00=sdtpldt0(smndt0(X1),X1))),file('/tmp/SRASS.s.p', mAddInvr)).
% fof(23, axiom,![X1]:(aElement0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', mAddZero)).
% fof(28, axiom,![X1]:(aSet0(X1)=>![X2]:(aElementOf0(X2,X1)=>aElement0(X2))),file('/tmp/SRASS.s.p', mEOfElem)).
% fof(29, axiom,aElement0(sz00),file('/tmp/SRASS.s.p', mSortsC)).
% fof(34, conjecture,aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),file('/tmp/SRASS.s.p', m__)).
% fof(35, negated_conjecture,~(aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI)),inference(assume_negation,[status(cth)],[34])).
% fof(38, negated_conjecture,~(aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI)),inference(fof_simplification,[status(thm)],[35,theory(equality)])).
% cnf(39,plain,(aElement0(sz10)),inference(split_conjunct,[status(thm)],[1])).
% fof(40, plain,![X1]:(~(aElement0(X1))|aElement0(smndt0(X1))),inference(fof_nnf,[status(thm)],[2])).
% fof(41, plain,![X2]:(~(aElement0(X2))|aElement0(smndt0(X2))),inference(variable_rename,[status(thm)],[40])).
% cnf(42,plain,(aElement0(smndt0(X1))|~aElement0(X1)),inference(split_conjunct,[status(thm)],[41])).
% fof(43, plain,![X1]:![X2]:((~(aElement0(X1))|~(aElement0(X2)))|aElement0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(44, plain,![X3]:![X4]:((~(aElement0(X3))|~(aElement0(X4)))|aElement0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[43])).
% cnf(45,plain,(aElement0(sdtpldt0(X1,X2))|~aElement0(X2)|~aElement0(X1)),inference(split_conjunct,[status(thm)],[44])).
% fof(49, plain,![X1]:![X2]:((~(aElement0(X1))|~(aElement0(X2)))|sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),inference(fof_nnf,[status(thm)],[5])).
% fof(50, plain,![X3]:![X4]:((~(aElement0(X3))|~(aElement0(X4)))|sdtpldt0(X3,X4)=sdtpldt0(X4,X3)),inference(variable_rename,[status(thm)],[49])).
% cnf(51,plain,(sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aElement0(X2)|~aElement0(X1)),inference(split_conjunct,[status(thm)],[50])).
% fof(52, plain,![X1]:![X2]:![X3]:(((~(aElement0(X1))|~(aElement0(X2)))|~(aElement0(X3)))|sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))),inference(fof_nnf,[status(thm)],[6])).
% fof(53, plain,![X4]:![X5]:![X6]:(((~(aElement0(X4))|~(aElement0(X5)))|~(aElement0(X6)))|sdtpldt0(sdtpldt0(X4,X5),X6)=sdtpldt0(X4,sdtpldt0(X5,X6))),inference(variable_rename,[status(thm)],[52])).
% cnf(54,plain,(sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))|~aElement0(X3)|~aElement0(X2)|~aElement0(X1)),inference(split_conjunct,[status(thm)],[53])).
% fof(55, plain,![X1]:![X2]:((~(aElement0(X1))|~(aElement0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[7])).
% fof(56, plain,![X3]:![X4]:((~(aElement0(X3))|~(aElement0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[55])).
% cnf(57,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aElement0(X2)|~aElement0(X1)),inference(split_conjunct,[status(thm)],[56])).
% fof(58, plain,![X1]:![X2]:![X3]:(((~(aElement0(X1))|~(aElement0(X2)))|~(aElement0(X3)))|sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))),inference(fof_nnf,[status(thm)],[8])).
% fof(59, plain,![X4]:![X5]:![X6]:(((~(aElement0(X4))|~(aElement0(X5)))|~(aElement0(X6)))|sdtasdt0(sdtasdt0(X4,X5),X6)=sdtasdt0(X4,sdtasdt0(X5,X6))),inference(variable_rename,[status(thm)],[58])).
% cnf(60,plain,(sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aElement0(X3)|~aElement0(X2)|~aElement0(X1)),inference(split_conjunct,[status(thm)],[59])).
% fof(61, plain,![X1]:(~(aElement0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[9])).
% fof(62, plain,![X2]:(~(aElement0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[61])).
% fof(63, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aElement0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aElement0(X2)))),inference(distribute,[status(thm)],[62])).
% cnf(64,plain,(X1=sdtasdt0(sz10,X1)|~aElement0(X1)),inference(split_conjunct,[status(thm)],[63])).
% cnf(65,plain,(sdtasdt0(X1,sz10)=X1|~aElement0(X1)),inference(split_conjunct,[status(thm)],[63])).
% fof(66, plain,![X1]:![X2]:![X3]:(((~(aElement0(X1))|~(aElement0(X2)))|~(aElement0(X3)))|(sdtasdt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))&sdtasdt0(sdtpldt0(X2,X3),X1)=sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)))),inference(fof_nnf,[status(thm)],[10])).
% fof(67, plain,![X4]:![X5]:![X6]:(((~(aElement0(X4))|~(aElement0(X5)))|~(aElement0(X6)))|(sdtasdt0(X4,sdtpldt0(X5,X6))=sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))&sdtasdt0(sdtpldt0(X5,X6),X4)=sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4)))),inference(variable_rename,[status(thm)],[66])).
% fof(68, plain,![X4]:![X5]:![X6]:((sdtasdt0(X4,sdtpldt0(X5,X6))=sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))|((~(aElement0(X4))|~(aElement0(X5)))|~(aElement0(X6))))&(sdtasdt0(sdtpldt0(X5,X6),X4)=sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))|((~(aElement0(X4))|~(aElement0(X5)))|~(aElement0(X6))))),inference(distribute,[status(thm)],[67])).
% cnf(70,plain,(sdtasdt0(X3,sdtpldt0(X2,X1))=sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aElement0(X1)|~aElement0(X2)|~aElement0(X3)),inference(split_conjunct,[status(thm)],[68])).
% fof(71, plain,![X1]:(~(aElement0(X1))|(sdtasdt0(smndt0(sz10),X1)=smndt0(X1)&smndt0(X1)=sdtasdt0(X1,smndt0(sz10)))),inference(fof_nnf,[status(thm)],[11])).
% fof(72, plain,![X2]:(~(aElement0(X2))|(sdtasdt0(smndt0(sz10),X2)=smndt0(X2)&smndt0(X2)=sdtasdt0(X2,smndt0(sz10)))),inference(variable_rename,[status(thm)],[71])).
% fof(73, plain,![X2]:((sdtasdt0(smndt0(sz10),X2)=smndt0(X2)|~(aElement0(X2)))&(smndt0(X2)=sdtasdt0(X2,smndt0(sz10))|~(aElement0(X2)))),inference(distribute,[status(thm)],[72])).
% cnf(75,plain,(sdtasdt0(smndt0(sz10),X1)=smndt0(X1)|~aElement0(X1)),inference(split_conjunct,[status(thm)],[73])).
% cnf(79,plain,(aIdeal0(xJ)),inference(split_conjunct,[status(thm)],[13])).
% cnf(80,plain,(aIdeal0(xI)),inference(split_conjunct,[status(thm)],[13])).
% cnf(85,plain,(aElement0(xx)),inference(split_conjunct,[status(thm)],[15])).
% cnf(86,plain,(sdtpldt0(xa,xb)=sz10),inference(split_conjunct,[status(thm)],[16])).
% cnf(87,plain,(aElementOf0(xb,xJ)),inference(split_conjunct,[status(thm)],[16])).
% cnf(88,plain,(aElementOf0(xa,xI)),inference(split_conjunct,[status(thm)],[16])).
% fof(91, plain,![X1]:((~(aIdeal0(X1))|(aSet0(X1)&![X2]:(~(aElementOf0(X2,X1))|(![X3]:(~(aElementOf0(X3,X1))|aElementOf0(sdtpldt0(X2,X3),X1))&![X3]:(~(aElement0(X3))|aElementOf0(sdtasdt0(X3,X2),X1))))))&((~(aSet0(X1))|?[X2]:(aElementOf0(X2,X1)&(?[X3]:(aElementOf0(X3,X1)&~(aElementOf0(sdtpldt0(X2,X3),X1)))|?[X3]:(aElement0(X3)&~(aElementOf0(sdtasdt0(X3,X2),X1))))))|aIdeal0(X1))),inference(fof_nnf,[status(thm)],[19])).
% fof(92, plain,![X4]:((~(aIdeal0(X4))|(aSet0(X4)&![X5]:(~(aElementOf0(X5,X4))|(![X6]:(~(aElementOf0(X6,X4))|aElementOf0(sdtpldt0(X5,X6),X4))&![X7]:(~(aElement0(X7))|aElementOf0(sdtasdt0(X7,X5),X4))))))&((~(aSet0(X4))|?[X8]:(aElementOf0(X8,X4)&(?[X9]:(aElementOf0(X9,X4)&~(aElementOf0(sdtpldt0(X8,X9),X4)))|?[X10]:(aElement0(X10)&~(aElementOf0(sdtasdt0(X10,X8),X4))))))|aIdeal0(X4))),inference(variable_rename,[status(thm)],[91])).
% fof(93, plain,![X4]:((~(aIdeal0(X4))|(aSet0(X4)&![X5]:(~(aElementOf0(X5,X4))|(![X6]:(~(aElementOf0(X6,X4))|aElementOf0(sdtpldt0(X5,X6),X4))&![X7]:(~(aElement0(X7))|aElementOf0(sdtasdt0(X7,X5),X4))))))&((~(aSet0(X4))|(aElementOf0(esk1_1(X4),X4)&((aElementOf0(esk2_1(X4),X4)&~(aElementOf0(sdtpldt0(esk1_1(X4),esk2_1(X4)),X4)))|(aElement0(esk3_1(X4))&~(aElementOf0(sdtasdt0(esk3_1(X4),esk1_1(X4)),X4))))))|aIdeal0(X4))),inference(skolemize,[status(esa)],[92])).
% fof(94, plain,![X4]:![X5]:![X6]:![X7]:((((((~(aElement0(X7))|aElementOf0(sdtasdt0(X7,X5),X4))&(~(aElementOf0(X6,X4))|aElementOf0(sdtpldt0(X5,X6),X4)))|~(aElementOf0(X5,X4)))&aSet0(X4))|~(aIdeal0(X4)))&((~(aSet0(X4))|(aElementOf0(esk1_1(X4),X4)&((aElementOf0(esk2_1(X4),X4)&~(aElementOf0(sdtpldt0(esk1_1(X4),esk2_1(X4)),X4)))|(aElement0(esk3_1(X4))&~(aElementOf0(sdtasdt0(esk3_1(X4),esk1_1(X4)),X4))))))|aIdeal0(X4))),inference(shift_quantors,[status(thm)],[93])).
% fof(95, plain,![X4]:![X5]:![X6]:![X7]:((((((~(aElement0(X7))|aElementOf0(sdtasdt0(X7,X5),X4))|~(aElementOf0(X5,X4)))|~(aIdeal0(X4)))&(((~(aElementOf0(X6,X4))|aElementOf0(sdtpldt0(X5,X6),X4))|~(aElementOf0(X5,X4)))|~(aIdeal0(X4))))&(aSet0(X4)|~(aIdeal0(X4))))&(((aElementOf0(esk1_1(X4),X4)|~(aSet0(X4)))|aIdeal0(X4))&(((((aElement0(esk3_1(X4))|aElementOf0(esk2_1(X4),X4))|~(aSet0(X4)))|aIdeal0(X4))&(((~(aElementOf0(sdtasdt0(esk3_1(X4),esk1_1(X4)),X4))|aElementOf0(esk2_1(X4),X4))|~(aSet0(X4)))|aIdeal0(X4)))&((((aElement0(esk3_1(X4))|~(aElementOf0(sdtpldt0(esk1_1(X4),esk2_1(X4)),X4)))|~(aSet0(X4)))|aIdeal0(X4))&(((~(aElementOf0(sdtasdt0(esk3_1(X4),esk1_1(X4)),X4))|~(aElementOf0(sdtpldt0(esk1_1(X4),esk2_1(X4)),X4)))|~(aSet0(X4)))|aIdeal0(X4)))))),inference(distribute,[status(thm)],[94])).
% cnf(101,plain,(aSet0(X1)|~aIdeal0(X1)),inference(split_conjunct,[status(thm)],[95])).
% cnf(103,plain,(aElementOf0(sdtasdt0(X3,X2),X1)|~aIdeal0(X1)|~aElementOf0(X2,X1)|~aElement0(X3)),inference(split_conjunct,[status(thm)],[95])).
% fof(123, plain,![X1]:(~(aElement0(X1))|(sdtpldt0(X1,smndt0(X1))=sz00&sz00=sdtpldt0(smndt0(X1),X1))),inference(fof_nnf,[status(thm)],[22])).
% fof(124, plain,![X2]:(~(aElement0(X2))|(sdtpldt0(X2,smndt0(X2))=sz00&sz00=sdtpldt0(smndt0(X2),X2))),inference(variable_rename,[status(thm)],[123])).
% fof(125, plain,![X2]:((sdtpldt0(X2,smndt0(X2))=sz00|~(aElement0(X2)))&(sz00=sdtpldt0(smndt0(X2),X2)|~(aElement0(X2)))),inference(distribute,[status(thm)],[124])).
% cnf(126,plain,(sz00=sdtpldt0(smndt0(X1),X1)|~aElement0(X1)),inference(split_conjunct,[status(thm)],[125])).
% cnf(127,plain,(sdtpldt0(X1,smndt0(X1))=sz00|~aElement0(X1)),inference(split_conjunct,[status(thm)],[125])).
% fof(128, plain,![X1]:(~(aElement0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[23])).
% fof(129, plain,![X2]:(~(aElement0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[128])).
% fof(130, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aElement0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aElement0(X2)))),inference(distribute,[status(thm)],[129])).
% cnf(131,plain,(X1=sdtpldt0(sz00,X1)|~aElement0(X1)),inference(split_conjunct,[status(thm)],[130])).
% cnf(132,plain,(sdtpldt0(X1,sz00)=X1|~aElement0(X1)),inference(split_conjunct,[status(thm)],[130])).
% fof(150, plain,![X1]:(~(aSet0(X1))|![X2]:(~(aElementOf0(X2,X1))|aElement0(X2))),inference(fof_nnf,[status(thm)],[28])).
% fof(151, plain,![X3]:(~(aSet0(X3))|![X4]:(~(aElementOf0(X4,X3))|aElement0(X4))),inference(variable_rename,[status(thm)],[150])).
% fof(152, plain,![X3]:![X4]:((~(aElementOf0(X4,X3))|aElement0(X4))|~(aSet0(X3))),inference(shift_quantors,[status(thm)],[151])).
% cnf(153,plain,(aElement0(X2)|~aSet0(X1)|~aElementOf0(X2,X1)),inference(split_conjunct,[status(thm)],[152])).
% cnf(154,plain,(aElement0(sz00)),inference(split_conjunct,[status(thm)],[29])).
% cnf(174,negated_conjecture,(~aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI)),inference(split_conjunct,[status(thm)],[38])).
% cnf(175,plain,(aSet0(xJ)),inference(spm,[status(thm)],[101,79,theory(equality)])).
% cnf(176,plain,(aSet0(xI)),inference(spm,[status(thm)],[101,80,theory(equality)])).
% cnf(189,plain,(aElement0(xb)|~aSet0(xJ)),inference(spm,[status(thm)],[153,87,theory(equality)])).
% cnf(190,plain,(aElement0(xa)|~aSet0(xI)),inference(spm,[status(thm)],[153,88,theory(equality)])).
% cnf(295,plain,(aElement0(sdtasdt0(X1,X2))|~aSet0(X3)|~aElementOf0(X2,X3)|~aIdeal0(X3)|~aElement0(X1)),inference(spm,[status(thm)],[153,103,theory(equality)])).
% cnf(296,negated_conjecture,(~aElementOf0(sdtpldt0(xb,smndt0(sz10)),xI)|~aIdeal0(xI)|~aElement0(xx)),inference(spm,[status(thm)],[174,103,theory(equality)])).
% cnf(298,plain,(aElementOf0(smndt0(X1),X2)|~aElementOf0(X1,X2)|~aIdeal0(X2)|~aElement0(smndt0(sz10))|~aElement0(X1)),inference(spm,[status(thm)],[103,75,theory(equality)])).
% cnf(305,negated_conjecture,(~aElementOf0(sdtpldt0(xb,smndt0(sz10)),xI)|$false|~aElement0(xx)),inference(rw,[status(thm)],[296,80,theory(equality)])).
% cnf(306,negated_conjecture,(~aElementOf0(sdtpldt0(xb,smndt0(sz10)),xI)|$false|$false),inference(rw,[status(thm)],[305,85,theory(equality)])).
% cnf(307,negated_conjecture,(~aElementOf0(sdtpldt0(xb,smndt0(sz10)),xI)),inference(cn,[status(thm)],[306,theory(equality)])).
% cnf(326,plain,(sdtpldt0(X1,sdtpldt0(X2,sz00))=sdtpldt0(X1,X2)|~aElement0(sdtpldt0(X1,X2))|~aElement0(sz00)|~aElement0(X2)|~aElement0(X1)),inference(spm,[status(thm)],[132,54,theory(equality)])).
% cnf(327,plain,(sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2))))=sz00|~aElement0(sdtpldt0(X1,X2))|~aElement0(smndt0(sdtpldt0(X1,X2)))|~aElement0(X2)|~aElement0(X1)),inference(spm,[status(thm)],[127,54,theory(equality)])).
% cnf(328,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X3,sdtpldt0(X1,X2))|~aElement0(X3)|~aElement0(sdtpldt0(X1,X2))|~aElement0(X2)|~aElement0(X1)),inference(spm,[status(thm)],[51,54,theory(equality)])).
% cnf(333,plain,(sdtpldt0(X1,X2)=sdtpldt0(sz00,sdtpldt0(X1,X2))|~aElement0(X2)|~aElement0(X1)|~aElement0(sz00)),inference(spm,[status(thm)],[54,131,theory(equality)])).
% cnf(337,plain,(sdtpldt0(sz00,X2)=sdtpldt0(smndt0(X1),sdtpldt0(X1,X2))|~aElement0(X2)|~aElement0(X1)|~aElement0(smndt0(X1))),inference(spm,[status(thm)],[54,126,theory(equality)])).
% cnf(339,plain,(sdtpldt0(sz00,X2)=sdtpldt0(X1,sdtpldt0(smndt0(X1),X2))|~aElement0(X2)|~aElement0(smndt0(X1))|~aElement0(X1)),inference(spm,[status(thm)],[54,127,theory(equality)])).
% cnf(342,plain,(sdtpldt0(X1,sdtpldt0(X2,sz00))=sdtpldt0(X1,X2)|~aElement0(sdtpldt0(X1,X2))|$false|~aElement0(X2)|~aElement0(X1)),inference(rw,[status(thm)],[326,154,theory(equality)])).
% cnf(343,plain,(sdtpldt0(X1,sdtpldt0(X2,sz00))=sdtpldt0(X1,X2)|~aElement0(sdtpldt0(X1,X2))|~aElement0(X2)|~aElement0(X1)),inference(cn,[status(thm)],[342,theory(equality)])).
% cnf(344,plain,(sdtpldt0(X1,X2)=sdtpldt0(sz00,sdtpldt0(X1,X2))|~aElement0(X2)|~aElement0(X1)|$false),inference(rw,[status(thm)],[333,154,theory(equality)])).
% cnf(345,plain,(sdtpldt0(X1,X2)=sdtpldt0(sz00,sdtpldt0(X1,X2))|~aElement0(X2)|~aElement0(X1)),inference(cn,[status(thm)],[344,theory(equality)])).
% cnf(359,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aElement0(X2)|~aElement0(X1)|~aElement0(sz10)),inference(spm,[status(thm)],[60,64,theory(equality)])).
% cnf(362,plain,(sdtasdt0(X1,X2)=sdtasdt0(X1,sdtasdt0(sz10,X2))|~aElement0(X2)|~aElement0(sz10)|~aElement0(X1)),inference(spm,[status(thm)],[60,65,theory(equality)])).
% cnf(371,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aElement0(X2)|~aElement0(X1)|$false),inference(rw,[status(thm)],[359,39,theory(equality)])).
% cnf(372,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aElement0(X2)|~aElement0(X1)),inference(cn,[status(thm)],[371,theory(equality)])).
% cnf(375,plain,(sdtasdt0(X1,X2)=sdtasdt0(X1,sdtasdt0(sz10,X2))|~aElement0(X2)|$false|~aElement0(X1)),inference(rw,[status(thm)],[362,39,theory(equality)])).
% cnf(376,plain,(sdtasdt0(X1,X2)=sdtasdt0(X1,sdtasdt0(sz10,X2))|~aElement0(X2)|~aElement0(X1)),inference(cn,[status(thm)],[375,theory(equality)])).
% cnf(386,plain,(sdtpldt0(sdtasdt0(sz10,X1),X2)=sdtasdt0(sz10,sdtpldt0(X1,X2))|~aElement0(sz10)|~aElement0(X1)|~aElement0(X2)),inference(spm,[status(thm)],[70,64,theory(equality)])).
% cnf(403,plain,(sdtpldt0(sdtasdt0(sz10,X1),X2)=sdtasdt0(sz10,sdtpldt0(X1,X2))|$false|~aElement0(X1)|~aElement0(X2)),inference(rw,[status(thm)],[386,39,theory(equality)])).
% cnf(404,plain,(sdtpldt0(sdtasdt0(sz10,X1),X2)=sdtasdt0(sz10,sdtpldt0(X1,X2))|~aElement0(X1)|~aElement0(X2)),inference(cn,[status(thm)],[403,theory(equality)])).
% cnf(573,plain,(aElement0(xb)|$false),inference(rw,[status(thm)],[189,175,theory(equality)])).
% cnf(574,plain,(aElement0(xb)),inference(cn,[status(thm)],[573,theory(equality)])).
% cnf(579,plain,(aElement0(xa)|$false),inference(rw,[status(thm)],[190,176,theory(equality)])).
% cnf(580,plain,(aElement0(xa)),inference(cn,[status(thm)],[579,theory(equality)])).
% cnf(1226,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aElement0(X2)|~aElement0(X1)|~aElement0(sz10)),inference(spm,[status(thm)],[376,57,theory(equality)])).
% cnf(1232,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aElement0(X2)|~aElement0(X1)|$false),inference(rw,[status(thm)],[1226,39,theory(equality)])).
% cnf(1233,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aElement0(X2)|~aElement0(X1)),inference(cn,[status(thm)],[1232,theory(equality)])).
% cnf(1248,plain,(sdtasdt0(sz10,X1)=sdtasdt0(X1,sz10)|~aElement0(sz10)|~aElement0(X1)),inference(spm,[status(thm)],[372,1233,theory(equality)])).
% cnf(1278,plain,(sdtasdt0(sz10,X1)=sdtasdt0(X1,sz10)|$false|~aElement0(X1)),inference(rw,[status(thm)],[1248,39,theory(equality)])).
% cnf(1279,plain,(sdtasdt0(sz10,X1)=sdtasdt0(X1,sz10)|~aElement0(X1)),inference(cn,[status(thm)],[1278,theory(equality)])).
% cnf(1288,plain,(sdtasdt0(sz10,sz10)=sz10|~aElement0(sz10)),inference(spm,[status(thm)],[64,1279,theory(equality)])).
% cnf(1325,plain,(sdtasdt0(sz10,sz10)=sz10|$false),inference(rw,[status(thm)],[1288,39,theory(equality)])).
% cnf(1326,plain,(sdtasdt0(sz10,sz10)=sz10),inference(cn,[status(thm)],[1325,theory(equality)])).
% cnf(1843,plain,(aElement0(sdtasdt0(X1,X2))|~aElementOf0(X2,X3)|~aIdeal0(X3)|~aElement0(X1)),inference(csr,[status(thm)],[295,101])).
% cnf(1851,plain,(aElement0(sdtasdt0(X1,xa))|~aIdeal0(xI)|~aElement0(X1)),inference(spm,[status(thm)],[1843,88,theory(equality)])).
% cnf(1859,plain,(aElement0(sdtasdt0(X1,xa))|$false|~aElement0(X1)),inference(rw,[status(thm)],[1851,80,theory(equality)])).
% cnf(1860,plain,(aElement0(sdtasdt0(X1,xa))|~aElement0(X1)),inference(cn,[status(thm)],[1859,theory(equality)])).
% cnf(2155,plain,(aElement0(smndt0(xa))|~aElement0(smndt0(sz10))|~aElement0(xa)),inference(spm,[status(thm)],[1860,75,theory(equality)])).
% cnf(2157,plain,(aElement0(sdtasdt0(xa,sz10))|~aElement0(sz10)|~aElement0(xa)),inference(spm,[status(thm)],[1860,1279,theory(equality)])).
% cnf(2167,plain,(aElement0(smndt0(xa))|~aElement0(smndt0(sz10))|$false),inference(rw,[status(thm)],[2155,580,theory(equality)])).
% cnf(2168,plain,(aElement0(smndt0(xa))|~aElement0(smndt0(sz10))),inference(cn,[status(thm)],[2167,theory(equality)])).
% cnf(2173,plain,(aElement0(sdtasdt0(xa,sz10))|$false|~aElement0(xa)),inference(rw,[status(thm)],[2157,39,theory(equality)])).
% cnf(2174,plain,(aElement0(sdtasdt0(xa,sz10))|$false|$false),inference(rw,[status(thm)],[2173,580,theory(equality)])).
% cnf(2175,plain,(aElement0(sdtasdt0(xa,sz10))),inference(cn,[status(thm)],[2174,theory(equality)])).
% cnf(2271,plain,(aElement0(smndt0(xa))|~aElement0(sz10)),inference(spm,[status(thm)],[2168,42,theory(equality)])).
% cnf(2272,plain,(aElement0(smndt0(xa))|$false),inference(rw,[status(thm)],[2271,39,theory(equality)])).
% cnf(2273,plain,(aElement0(smndt0(xa))),inference(cn,[status(thm)],[2272,theory(equality)])).
% cnf(2947,plain,(sdtpldt0(X1,sdtpldt0(X2,sz00))=sdtpldt0(X1,X2)|~aElement0(X2)|~aElement0(X1)),inference(csr,[status(thm)],[343,45])).
% cnf(3103,plain,(sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2))))=sz00|~aElement0(sdtpldt0(X1,X2))|~aElement0(X2)|~aElement0(X1)),inference(csr,[status(thm)],[327,42])).
% cnf(3104,plain,(sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2))))=sz00|~aElement0(X2)|~aElement0(X1)),inference(csr,[status(thm)],[3103,45])).
% cnf(3189,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X3,sdtpldt0(X1,X2))|~aElement0(X2)|~aElement0(X1)|~aElement0(X3)),inference(csr,[status(thm)],[328,45])).
% cnf(3238,plain,(sdtpldt0(xa,sdtpldt0(xb,X1))=sdtpldt0(X1,sz10)|~aElement0(X1)|~aElement0(xb)|~aElement0(xa)),inference(spm,[status(thm)],[3189,86,theory(equality)])).
% cnf(3318,plain,(sdtpldt0(xa,sdtpldt0(xb,X1))=sdtpldt0(X1,sz10)|~aElement0(X1)|$false|~aElement0(xa)),inference(rw,[status(thm)],[3238,574,theory(equality)])).
% cnf(3319,plain,(sdtpldt0(xa,sdtpldt0(xb,X1))=sdtpldt0(X1,sz10)|~aElement0(X1)|$false|$false),inference(rw,[status(thm)],[3318,580,theory(equality)])).
% cnf(3320,plain,(sdtpldt0(xa,sdtpldt0(xb,X1))=sdtpldt0(X1,sz10)|~aElement0(X1)),inference(cn,[status(thm)],[3319,theory(equality)])).
% cnf(4018,plain,(sdtpldt0(sz00,sz10)=sdtpldt0(xa,xb)|~aElement0(xb)|~aElement0(xa)|~aElement0(sz00)),inference(spm,[status(thm)],[2947,3320,theory(equality)])).
% cnf(4050,plain,(sdtpldt0(sz00,sz10)=sz10|~aElement0(xb)|~aElement0(xa)|~aElement0(sz00)),inference(rw,[status(thm)],[4018,86,theory(equality)])).
% cnf(4051,plain,(sdtpldt0(sz00,sz10)=sz10|$false|~aElement0(xa)|~aElement0(sz00)),inference(rw,[status(thm)],[4050,574,theory(equality)])).
% cnf(4052,plain,(sdtpldt0(sz00,sz10)=sz10|$false|$false|~aElement0(sz00)),inference(rw,[status(thm)],[4051,580,theory(equality)])).
% cnf(4053,plain,(sdtpldt0(sz00,sz10)=sz10|$false|$false|$false),inference(rw,[status(thm)],[4052,154,theory(equality)])).
% cnf(4054,plain,(sdtpldt0(sz00,sz10)=sz10),inference(cn,[status(thm)],[4053,theory(equality)])).
% cnf(5120,plain,(sdtpldt0(smndt0(X1),sdtpldt0(X1,X2))=sdtpldt0(sz00,X2)|~aElement0(X2)|~aElement0(X1)),inference(csr,[status(thm)],[337,42])).
% cnf(5149,plain,(sdtpldt0(smndt0(xa),sz10)=sdtpldt0(sz00,xb)|~aElement0(xb)|~aElement0(xa)),inference(spm,[status(thm)],[5120,86,theory(equality)])).
% cnf(5206,plain,(sdtpldt0(smndt0(xa),sz10)=sdtpldt0(sz00,xb)|$false|~aElement0(xa)),inference(rw,[status(thm)],[5149,574,theory(equality)])).
% cnf(5207,plain,(sdtpldt0(smndt0(xa),sz10)=sdtpldt0(sz00,xb)|$false|$false),inference(rw,[status(thm)],[5206,580,theory(equality)])).
% cnf(5208,plain,(sdtpldt0(smndt0(xa),sz10)=sdtpldt0(sz00,xb)),inference(cn,[status(thm)],[5207,theory(equality)])).
% cnf(5381,plain,(sdtpldt0(sz00,xb)=sdtpldt0(sz10,smndt0(xa))|~aElement0(sz10)|~aElement0(smndt0(xa))),inference(spm,[status(thm)],[51,5208,theory(equality)])).
% cnf(5387,plain,(sdtpldt0(sz00,sdtpldt0(sz00,xb))=sdtpldt0(sz00,xb)|~aElement0(sz10)|~aElement0(smndt0(xa))),inference(spm,[status(thm)],[345,5208,theory(equality)])).
% cnf(5397,plain,(sdtpldt0(sz00,xb)=sdtpldt0(sz10,smndt0(xa))|$false|~aElement0(smndt0(xa))),inference(rw,[status(thm)],[5381,39,theory(equality)])).
% cnf(5398,plain,(sdtpldt0(sz00,xb)=sdtpldt0(sz10,smndt0(xa))|$false|$false),inference(rw,[status(thm)],[5397,2273,theory(equality)])).
% cnf(5399,plain,(sdtpldt0(sz00,xb)=sdtpldt0(sz10,smndt0(xa))),inference(cn,[status(thm)],[5398,theory(equality)])).
% cnf(5412,plain,(sdtpldt0(sz00,sdtpldt0(sz00,xb))=sdtpldt0(sz00,xb)|$false|~aElement0(smndt0(xa))),inference(rw,[status(thm)],[5387,39,theory(equality)])).
% cnf(5413,plain,(sdtpldt0(sz00,sdtpldt0(sz00,xb))=sdtpldt0(sz00,xb)|$false|$false),inference(rw,[status(thm)],[5412,2273,theory(equality)])).
% cnf(5414,plain,(sdtpldt0(sz00,sdtpldt0(sz00,xb))=sdtpldt0(sz00,xb)),inference(cn,[status(thm)],[5413,theory(equality)])).
% cnf(5588,plain,(sdtpldt0(X1,sdtpldt0(smndt0(X1),X2))=sdtpldt0(sz00,X2)|~aElement0(X1)|~aElement0(X2)),inference(csr,[status(thm)],[339,42])).
% cnf(5634,plain,(sdtpldt0(xa,sdtpldt0(sz00,xb))=sdtpldt0(sz00,sz10)|~aElement0(sz10)|~aElement0(xa)),inference(spm,[status(thm)],[5588,5208,theory(equality)])).
% cnf(5678,plain,(sdtpldt0(xa,sdtpldt0(sz00,xb))=sz10|~aElement0(sz10)|~aElement0(xa)),inference(rw,[status(thm)],[5634,4054,theory(equality)])).
% cnf(5679,plain,(sdtpldt0(xa,sdtpldt0(sz00,xb))=sz10|$false|~aElement0(xa)),inference(rw,[status(thm)],[5678,39,theory(equality)])).
% cnf(5680,plain,(sdtpldt0(xa,sdtpldt0(sz00,xb))=sz10|$false|$false),inference(rw,[status(thm)],[5679,580,theory(equality)])).
% cnf(5681,plain,(sdtpldt0(xa,sdtpldt0(sz00,xb))=sz10),inference(cn,[status(thm)],[5680,theory(equality)])).
% cnf(5703,plain,(sdtpldt0(sz00,sdtpldt0(xb,xa))=sz10|~aElement0(xa)|~aElement0(xb)|~aElement0(sz00)),inference(spm,[status(thm)],[3189,5681,theory(equality)])).
% cnf(5753,plain,(sdtpldt0(sz00,sdtpldt0(xb,xa))=sz10|$false|~aElement0(xb)|~aElement0(sz00)),inference(rw,[status(thm)],[5703,580,theory(equality)])).
% cnf(5754,plain,(sdtpldt0(sz00,sdtpldt0(xb,xa))=sz10|$false|$false|~aElement0(sz00)),inference(rw,[status(thm)],[5753,574,theory(equality)])).
% cnf(5755,plain,(sdtpldt0(sz00,sdtpldt0(xb,xa))=sz10|$false|$false|$false),inference(rw,[status(thm)],[5754,154,theory(equality)])).
% cnf(5756,plain,(sdtpldt0(sz00,sdtpldt0(xb,xa))=sz10),inference(cn,[status(thm)],[5755,theory(equality)])).
% cnf(5786,plain,(sz10=sdtpldt0(xb,xa)|~aElement0(xa)|~aElement0(xb)),inference(spm,[status(thm)],[345,5756,theory(equality)])).
% cnf(5828,plain,(sz10=sdtpldt0(xb,xa)|$false|~aElement0(xb)),inference(rw,[status(thm)],[5786,580,theory(equality)])).
% cnf(5829,plain,(sz10=sdtpldt0(xb,xa)|$false|$false),inference(rw,[status(thm)],[5828,574,theory(equality)])).
% cnf(5830,plain,(sz10=sdtpldt0(xb,xa)),inference(cn,[status(thm)],[5829,theory(equality)])).
% cnf(5846,plain,(sdtpldt0(smndt0(xb),sz10)=sdtpldt0(sz00,xa)|~aElement0(xa)|~aElement0(xb)),inference(spm,[status(thm)],[5120,5830,theory(equality)])).
% cnf(5878,plain,(sdtpldt0(smndt0(xb),sz10)=sdtpldt0(sz00,xa)|$false|~aElement0(xb)),inference(rw,[status(thm)],[5846,580,theory(equality)])).
% cnf(5879,plain,(sdtpldt0(smndt0(xb),sz10)=sdtpldt0(sz00,xa)|$false|$false),inference(rw,[status(thm)],[5878,574,theory(equality)])).
% cnf(5880,plain,(sdtpldt0(smndt0(xb),sz10)=sdtpldt0(sz00,xa)),inference(cn,[status(thm)],[5879,theory(equality)])).
% cnf(6688,plain,(sdtpldt0(sz00,xb)=xb|~aElement0(xb)),inference(spm,[status(thm)],[5414,131,theory(equality)])).
% cnf(6744,plain,(sdtpldt0(sz00,xb)=xb|$false),inference(rw,[status(thm)],[6688,574,theory(equality)])).
% cnf(6745,plain,(sdtpldt0(sz00,xb)=xb),inference(cn,[status(thm)],[6744,theory(equality)])).
% cnf(6763,plain,(sdtpldt0(sz10,smndt0(xa))=xb),inference(rw,[status(thm)],[5399,6745,theory(equality)])).
% cnf(6820,plain,(sdtpldt0(smndt0(sz10),xb)=sdtpldt0(sz00,smndt0(xa))|~aElement0(smndt0(xa))|~aElement0(sz10)),inference(spm,[status(thm)],[5120,6763,theory(equality)])).
% cnf(6847,plain,(sdtpldt0(smndt0(sz10),xb)=sdtpldt0(sz00,smndt0(xa))|$false|~aElement0(sz10)),inference(rw,[status(thm)],[6820,2273,theory(equality)])).
% cnf(6848,plain,(sdtpldt0(smndt0(sz10),xb)=sdtpldt0(sz00,smndt0(xa))|$false|$false),inference(rw,[status(thm)],[6847,39,theory(equality)])).
% cnf(6849,plain,(sdtpldt0(smndt0(sz10),xb)=sdtpldt0(sz00,smndt0(xa))),inference(cn,[status(thm)],[6848,theory(equality)])).
% cnf(14703,plain,(sdtasdt0(sz10,sz10)=sdtpldt0(sdtasdt0(sz10,xa),xb)|~aElement0(xa)|~aElement0(xb)),inference(spm,[status(thm)],[404,86,theory(equality)])).
% cnf(14883,plain,(sz10=sdtpldt0(sdtasdt0(sz10,xa),xb)|~aElement0(xa)|~aElement0(xb)),inference(rw,[status(thm)],[14703,1326,theory(equality)])).
% cnf(14884,plain,(sz10=sdtpldt0(sdtasdt0(sz10,xa),xb)|$false|~aElement0(xb)),inference(rw,[status(thm)],[14883,580,theory(equality)])).
% cnf(14885,plain,(sz10=sdtpldt0(sdtasdt0(sz10,xa),xb)|$false|$false),inference(rw,[status(thm)],[14884,574,theory(equality)])).
% cnf(14886,plain,(sz10=sdtpldt0(sdtasdt0(sz10,xa),xb)),inference(cn,[status(thm)],[14885,theory(equality)])).
% cnf(15879,plain,(sdtpldt0(sdtasdt0(xa,sz10),xb)=sz10|~aElement0(sz10)|~aElement0(xa)),inference(spm,[status(thm)],[14886,57,theory(equality)])).
% cnf(15929,plain,(sdtpldt0(sdtasdt0(xa,sz10),xb)=sz10|$false|~aElement0(xa)),inference(rw,[status(thm)],[15879,39,theory(equality)])).
% cnf(15930,plain,(sdtpldt0(sdtasdt0(xa,sz10),xb)=sz10|$false|$false),inference(rw,[status(thm)],[15929,580,theory(equality)])).
% cnf(15931,plain,(sdtpldt0(sdtasdt0(xa,sz10),xb)=sz10),inference(cn,[status(thm)],[15930,theory(equality)])).
% cnf(16343,plain,(sz10=sdtpldt0(xb,sdtasdt0(xa,sz10))|~aElement0(xb)|~aElement0(sdtasdt0(xa,sz10))),inference(spm,[status(thm)],[51,15931,theory(equality)])).
% cnf(16368,plain,(sz10=sdtpldt0(xb,sdtasdt0(xa,sz10))|$false|~aElement0(sdtasdt0(xa,sz10))),inference(rw,[status(thm)],[16343,574,theory(equality)])).
% cnf(16369,plain,(sz10=sdtpldt0(xb,sdtasdt0(xa,sz10))|$false|$false),inference(rw,[status(thm)],[16368,2175,theory(equality)])).
% cnf(16370,plain,(sz10=sdtpldt0(xb,sdtasdt0(xa,sz10))),inference(cn,[status(thm)],[16369,theory(equality)])).
% cnf(16806,plain,(sdtpldt0(smndt0(xb),sz10)=sdtpldt0(sz00,sdtasdt0(xa,sz10))|~aElement0(sdtasdt0(xa,sz10))|~aElement0(xb)),inference(spm,[status(thm)],[5120,16370,theory(equality)])).
% cnf(16840,plain,(sdtpldt0(sz00,xa)=sdtpldt0(sz00,sdtasdt0(xa,sz10))|~aElement0(sdtasdt0(xa,sz10))|~aElement0(xb)),inference(rw,[status(thm)],[16806,5880,theory(equality)])).
% cnf(16841,plain,(sdtpldt0(sz00,xa)=sdtpldt0(sz00,sdtasdt0(xa,sz10))|$false|~aElement0(xb)),inference(rw,[status(thm)],[16840,2175,theory(equality)])).
% cnf(16842,plain,(sdtpldt0(sz00,xa)=sdtpldt0(sz00,sdtasdt0(xa,sz10))|$false|$false),inference(rw,[status(thm)],[16841,574,theory(equality)])).
% cnf(16843,plain,(sdtpldt0(sz00,xa)=sdtpldt0(sz00,sdtasdt0(xa,sz10))),inference(cn,[status(thm)],[16842,theory(equality)])).
% cnf(22485,plain,(sdtpldt0(sz00,xa)=sdtasdt0(xa,sz10)|~aElement0(sdtasdt0(xa,sz10))),inference(spm,[status(thm)],[131,16843,theory(equality)])).
% cnf(22546,plain,(sdtpldt0(sz00,xa)=sdtasdt0(xa,sz10)|$false),inference(rw,[status(thm)],[22485,2175,theory(equality)])).
% cnf(22547,plain,(sdtpldt0(sz00,xa)=sdtasdt0(xa,sz10)),inference(cn,[status(thm)],[22546,theory(equality)])).
% cnf(22591,plain,(sdtpldt0(sz00,xa)=xa|~aElement0(xa)),inference(spm,[status(thm)],[65,22547,theory(equality)])).
% cnf(22715,plain,(sdtpldt0(sz00,xa)=xa|$false),inference(rw,[status(thm)],[22591,580,theory(equality)])).
% cnf(22716,plain,(sdtpldt0(sz00,xa)=xa),inference(cn,[status(thm)],[22715,theory(equality)])).
% cnf(22742,plain,(sdtpldt0(sz00,sdtpldt0(xa,smndt0(xa)))=sz00|~aElement0(xa)|~aElement0(sz00)),inference(spm,[status(thm)],[3104,22716,theory(equality)])).
% cnf(22777,plain,(sdtpldt0(sz00,sdtpldt0(xa,smndt0(xa)))=sz00|$false|~aElement0(sz00)),inference(rw,[status(thm)],[22742,580,theory(equality)])).
% cnf(22778,plain,(sdtpldt0(sz00,sdtpldt0(xa,smndt0(xa)))=sz00|$false|$false),inference(rw,[status(thm)],[22777,154,theory(equality)])).
% cnf(22779,plain,(sdtpldt0(sz00,sdtpldt0(xa,smndt0(xa)))=sz00),inference(cn,[status(thm)],[22778,theory(equality)])).
% cnf(24193,plain,(sz00=sdtpldt0(xa,smndt0(xa))|~aElement0(smndt0(xa))|~aElement0(xa)),inference(spm,[status(thm)],[345,22779,theory(equality)])).
% cnf(24261,plain,(sz00=sdtpldt0(xa,smndt0(xa))|$false|~aElement0(xa)),inference(rw,[status(thm)],[24193,2273,theory(equality)])).
% cnf(24262,plain,(sz00=sdtpldt0(xa,smndt0(xa))|$false|$false),inference(rw,[status(thm)],[24261,580,theory(equality)])).
% cnf(24263,plain,(sz00=sdtpldt0(xa,smndt0(xa))),inference(cn,[status(thm)],[24262,theory(equality)])).
% cnf(24273,plain,(sdtpldt0(smndt0(xa),sz00)=sdtpldt0(sz00,smndt0(xa))|~aElement0(smndt0(xa))|~aElement0(xa)),inference(spm,[status(thm)],[5120,24263,theory(equality)])).
% cnf(24310,plain,(sdtpldt0(smndt0(xa),sz00)=sdtpldt0(sz00,smndt0(xa))|$false|~aElement0(xa)),inference(rw,[status(thm)],[24273,2273,theory(equality)])).
% cnf(24311,plain,(sdtpldt0(smndt0(xa),sz00)=sdtpldt0(sz00,smndt0(xa))|$false|$false),inference(rw,[status(thm)],[24310,580,theory(equality)])).
% cnf(24312,plain,(sdtpldt0(smndt0(xa),sz00)=sdtpldt0(sz00,smndt0(xa))),inference(cn,[status(thm)],[24311,theory(equality)])).
% cnf(24774,plain,(sdtpldt0(sz00,smndt0(xa))=smndt0(xa)|~aElement0(smndt0(xa))),inference(spm,[status(thm)],[132,24312,theory(equality)])).
% cnf(24838,plain,(sdtpldt0(sz00,smndt0(xa))=smndt0(xa)|$false),inference(rw,[status(thm)],[24774,2273,theory(equality)])).
% cnf(24839,plain,(sdtpldt0(sz00,smndt0(xa))=smndt0(xa)),inference(cn,[status(thm)],[24838,theory(equality)])).
% cnf(24907,plain,(sdtpldt0(smndt0(sz10),xb)=smndt0(xa)),inference(rw,[status(thm)],[6849,24839,theory(equality)])).
% cnf(24990,plain,(smndt0(xa)=sdtpldt0(xb,smndt0(sz10))|~aElement0(xb)|~aElement0(smndt0(sz10))),inference(spm,[status(thm)],[51,24907,theory(equality)])).
% cnf(25017,plain,(smndt0(xa)=sdtpldt0(xb,smndt0(sz10))|$false|~aElement0(smndt0(sz10))),inference(rw,[status(thm)],[24990,574,theory(equality)])).
% cnf(25018,plain,(smndt0(xa)=sdtpldt0(xb,smndt0(sz10))|~aElement0(smndt0(sz10))),inference(cn,[status(thm)],[25017,theory(equality)])).
% cnf(25711,negated_conjecture,(~aElementOf0(smndt0(xa),xI)|~aElement0(smndt0(sz10))),inference(spm,[status(thm)],[307,25018,theory(equality)])).
% cnf(25796,negated_conjecture,(~aElement0(smndt0(sz10))|~aElementOf0(xa,xI)|~aIdeal0(xI)|~aElement0(xa)),inference(spm,[status(thm)],[25711,298,theory(equality)])).
% cnf(25798,negated_conjecture,(~aElement0(smndt0(sz10))|$false|~aIdeal0(xI)|~aElement0(xa)),inference(rw,[status(thm)],[25796,88,theory(equality)])).
% cnf(25799,negated_conjecture,(~aElement0(smndt0(sz10))|$false|$false|~aElement0(xa)),inference(rw,[status(thm)],[25798,80,theory(equality)])).
% cnf(25800,negated_conjecture,(~aElement0(smndt0(sz10))|$false|$false|$false),inference(rw,[status(thm)],[25799,580,theory(equality)])).
% cnf(25801,negated_conjecture,(~aElement0(smndt0(sz10))),inference(cn,[status(thm)],[25800,theory(equality)])).
% cnf(25805,negated_conjecture,(~aElement0(sz10)),inference(spm,[status(thm)],[25801,42,theory(equality)])).
% cnf(25806,negated_conjecture,($false),inference(rw,[status(thm)],[25805,39,theory(equality)])).
% cnf(25807,negated_conjecture,($false),inference(cn,[status(thm)],[25806,theory(equality)])).
% cnf(25808,negated_conjecture,($false),25807,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1066
% # ...of these trivial : 73
% # ...subsumed : 528
% # ...remaining for further processing: 465
% # Other redundant clauses eliminated : 3
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 16
% # Backward-rewritten : 54
% # Generated clauses : 9264
% # ...of the previous two non-trivial : 7710
% # Contextual simplify-reflections : 134
% # Paramodulations : 9255
% # Factorizations : 0
% # Equation resolutions : 9
% # Current number of processed clauses: 328
% # Positive orientable unit clauses: 75
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 8
% # Non-unit-clauses : 245
% # Current number of unprocessed clauses: 5912
% # ...number of literals in the above : 27388
% # Clause-clause subsumption calls (NU) : 5164
% # Rec. Clause-clause subsumption calls : 4206
% # Unit Clause-clause subsumption calls : 90
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 23
% # Indexed BW rewrite successes : 22
% # Backwards rewriting index: 345 leaves, 1.26+/-0.971 terms/leaf
% # Paramod-from index: 215 leaves, 1.04+/-0.261 terms/leaf
% # Paramod-into index: 309 leaves, 1.17+/-0.591 terms/leaf
% # -------------------------------------------------
% # User time : 0.369 s
% # System time : 0.017 s
% # Total time : 0.386 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.76 CPU 0.88 WC
% FINAL PrfWatch: 0.76 CPU 0.88 WC
% SZS output end Solution for /tmp/SystemOnTPTP4971/RNG097+1.tptp
%
%------------------------------------------------------------------------------