TSTP Solution File: NUM512+1 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM512+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 : 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 : Wed Dec 29 19:46:00 EST 2010
% Result : Theorem 1.76s
% Output : Solution 1.76s
% 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/SystemOnTPTP11293/NUM512+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP11293/NUM512+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP11293/NUM512+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 11392
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.021 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,aNaturalNumber0(sz00),file('/tmp/SRASS.s.p', mSortsC)).
% fof(4, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(8, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),file('/tmp/SRASS.s.p', mMulComm)).
% fof(9, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))),file('/tmp/SRASS.s.p', mMulAsso)).
% fof(28, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((~(X1=sz00)&doDivides0(X1,X2))=>![X3]:(X3=sdtsldt0(X2,X1)<=>(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3))))),file('/tmp/SRASS.s.p', mDefQuot)).
% fof(33, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((~(X1=sz00)&doDivides0(X1,X2))=>![X3]:(aNaturalNumber0(X3)=>sdtasdt0(X3,sdtsldt0(X2,X1))=sdtsldt0(sdtasdt0(X3,X2),X1)))),file('/tmp/SRASS.s.p', mDivAsso)).
% fof(34, axiom,![X1]:(aNaturalNumber0(X1)=>(isPrime0(X1)<=>((~(X1=sz00)&~(X1=sz10))&![X2]:((aNaturalNumber0(X2)&doDivides0(X2,X1))=>(X2=sz10|X2=X1))))),file('/tmp/SRASS.s.p', mDefPrime)).
% fof(36, axiom,((aNaturalNumber0(xn)&aNaturalNumber0(xm))&aNaturalNumber0(xp)),file('/tmp/SRASS.s.p', m__1837)).
% fof(38, axiom,(isPrime0(xp)&doDivides0(xp,sdtasdt0(xn,xm))),file('/tmp/SRASS.s.p', m__1860)).
% fof(42, axiom,xk=sdtsldt0(sdtasdt0(xn,xm),xp),file('/tmp/SRASS.s.p', m__2306)).
% fof(45, axiom,((aNaturalNumber0(xr)&doDivides0(xr,xk))&isPrime0(xr)),file('/tmp/SRASS.s.p', m__2342)).
% fof(49, axiom,doDivides0(xr,xn),file('/tmp/SRASS.s.p', m__2487)).
% fof(54, conjecture,(sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr)=sdtasdt0(xn,xm)&sdtasdt0(xn,xm)=sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)),file('/tmp/SRASS.s.p', m__)).
% fof(55, negated_conjecture,~((sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr)=sdtasdt0(xn,xm)&sdtasdt0(xn,xm)=sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr))),inference(assume_negation,[status(cth)],[54])).
% cnf(60,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% fof(66, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[4])).
% fof(67, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[66])).
% cnf(68,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[67])).
% fof(80, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[8])).
% fof(81, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[80])).
% cnf(82,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[81])).
% fof(83, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))),inference(fof_nnf,[status(thm)],[9])).
% fof(84, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|sdtasdt0(sdtasdt0(X4,X5),X6)=sdtasdt0(X4,sdtasdt0(X5,X6))),inference(variable_rename,[status(thm)],[83])).
% cnf(85,plain,(sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[84])).
% fof(176, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((X1=sz00|~(doDivides0(X1,X2)))|![X3]:((~(X3=sdtsldt0(X2,X1))|(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))&((~(aNaturalNumber0(X3))|~(X2=sdtasdt0(X1,X3)))|X3=sdtsldt0(X2,X1))))),inference(fof_nnf,[status(thm)],[28])).
% fof(177, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((X4=sz00|~(doDivides0(X4,X5)))|![X6]:((~(X6=sdtsldt0(X5,X4))|(aNaturalNumber0(X6)&X5=sdtasdt0(X4,X6)))&((~(aNaturalNumber0(X6))|~(X5=sdtasdt0(X4,X6)))|X6=sdtsldt0(X5,X4))))),inference(variable_rename,[status(thm)],[176])).
% fof(178, plain,![X4]:![X5]:![X6]:((((~(X6=sdtsldt0(X5,X4))|(aNaturalNumber0(X6)&X5=sdtasdt0(X4,X6)))&((~(aNaturalNumber0(X6))|~(X5=sdtasdt0(X4,X6)))|X6=sdtsldt0(X5,X4)))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[177])).
% fof(179, plain,![X4]:![X5]:![X6]:(((((aNaturalNumber0(X6)|~(X6=sdtsldt0(X5,X4)))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((X5=sdtasdt0(X4,X6)|~(X6=sdtsldt0(X5,X4)))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))&((((~(aNaturalNumber0(X6))|~(X5=sdtasdt0(X4,X6)))|X6=sdtsldt0(X5,X4))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))),inference(distribute,[status(thm)],[178])).
% cnf(181,plain,(X2=sz00|X1=sdtasdt0(X2,X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[179])).
% cnf(182,plain,(X2=sz00|aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[179])).
% fof(195, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((X1=sz00|~(doDivides0(X1,X2)))|![X3]:(~(aNaturalNumber0(X3))|sdtasdt0(X3,sdtsldt0(X2,X1))=sdtsldt0(sdtasdt0(X3,X2),X1)))),inference(fof_nnf,[status(thm)],[33])).
% fof(196, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((X4=sz00|~(doDivides0(X4,X5)))|![X6]:(~(aNaturalNumber0(X6))|sdtasdt0(X6,sdtsldt0(X5,X4))=sdtsldt0(sdtasdt0(X6,X5),X4)))),inference(variable_rename,[status(thm)],[195])).
% fof(197, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X6))|sdtasdt0(X6,sdtsldt0(X5,X4))=sdtsldt0(sdtasdt0(X6,X5),X4))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[196])).
% cnf(198,plain,(X2=sz00|sdtasdt0(X3,sdtsldt0(X1,X2))=sdtsldt0(sdtasdt0(X3,X1),X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[197])).
% fof(199, plain,![X1]:(~(aNaturalNumber0(X1))|((~(isPrime0(X1))|((~(X1=sz00)&~(X1=sz10))&![X2]:((~(aNaturalNumber0(X2))|~(doDivides0(X2,X1)))|(X2=sz10|X2=X1))))&(((X1=sz00|X1=sz10)|?[X2]:((aNaturalNumber0(X2)&doDivides0(X2,X1))&(~(X2=sz10)&~(X2=X1))))|isPrime0(X1)))),inference(fof_nnf,[status(thm)],[34])).
% fof(200, plain,![X3]:(~(aNaturalNumber0(X3))|((~(isPrime0(X3))|((~(X3=sz00)&~(X3=sz10))&![X4]:((~(aNaturalNumber0(X4))|~(doDivides0(X4,X3)))|(X4=sz10|X4=X3))))&(((X3=sz00|X3=sz10)|?[X5]:((aNaturalNumber0(X5)&doDivides0(X5,X3))&(~(X5=sz10)&~(X5=X3))))|isPrime0(X3)))),inference(variable_rename,[status(thm)],[199])).
% fof(201, plain,![X3]:(~(aNaturalNumber0(X3))|((~(isPrime0(X3))|((~(X3=sz00)&~(X3=sz10))&![X4]:((~(aNaturalNumber0(X4))|~(doDivides0(X4,X3)))|(X4=sz10|X4=X3))))&(((X3=sz00|X3=sz10)|((aNaturalNumber0(esk3_1(X3))&doDivides0(esk3_1(X3),X3))&(~(esk3_1(X3)=sz10)&~(esk3_1(X3)=X3))))|isPrime0(X3)))),inference(skolemize,[status(esa)],[200])).
% fof(202, plain,![X3]:![X4]:((((((~(aNaturalNumber0(X4))|~(doDivides0(X4,X3)))|(X4=sz10|X4=X3))&(~(X3=sz00)&~(X3=sz10)))|~(isPrime0(X3)))&(((X3=sz00|X3=sz10)|((aNaturalNumber0(esk3_1(X3))&doDivides0(esk3_1(X3),X3))&(~(esk3_1(X3)=sz10)&~(esk3_1(X3)=X3))))|isPrime0(X3)))|~(aNaturalNumber0(X3))),inference(shift_quantors,[status(thm)],[201])).
% fof(203, plain,![X3]:![X4]:((((((~(aNaturalNumber0(X4))|~(doDivides0(X4,X3)))|(X4=sz10|X4=X3))|~(isPrime0(X3)))|~(aNaturalNumber0(X3)))&(((~(X3=sz00)|~(isPrime0(X3)))|~(aNaturalNumber0(X3)))&((~(X3=sz10)|~(isPrime0(X3)))|~(aNaturalNumber0(X3)))))&(((((aNaturalNumber0(esk3_1(X3))|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3)))&(((doDivides0(esk3_1(X3),X3)|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3))))&((((~(esk3_1(X3)=sz10)|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3)))&(((~(esk3_1(X3)=X3)|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3)))))),inference(distribute,[status(thm)],[202])).
% cnf(209,plain,(~aNaturalNumber0(X1)|~isPrime0(X1)|X1!=sz00),inference(split_conjunct,[status(thm)],[203])).
% cnf(218,plain,(aNaturalNumber0(xp)),inference(split_conjunct,[status(thm)],[36])).
% cnf(219,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[36])).
% cnf(220,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[36])).
% cnf(224,plain,(doDivides0(xp,sdtasdt0(xn,xm))),inference(split_conjunct,[status(thm)],[38])).
% cnf(225,plain,(isPrime0(xp)),inference(split_conjunct,[status(thm)],[38])).
% cnf(232,plain,(xk=sdtsldt0(sdtasdt0(xn,xm),xp)),inference(split_conjunct,[status(thm)],[42])).
% cnf(238,plain,(isPrime0(xr)),inference(split_conjunct,[status(thm)],[45])).
% cnf(240,plain,(aNaturalNumber0(xr)),inference(split_conjunct,[status(thm)],[45])).
% cnf(246,plain,(doDivides0(xr,xn)),inference(split_conjunct,[status(thm)],[49])).
% fof(260, negated_conjecture,(~(sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr)=sdtasdt0(xn,xm))|~(sdtasdt0(xn,xm)=sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr))),inference(fof_nnf,[status(thm)],[55])).
% cnf(261,negated_conjecture,(sdtasdt0(xn,xm)!=sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)|sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr)!=sdtasdt0(xn,xm)),inference(split_conjunct,[status(thm)],[260])).
% cnf(263,plain,(~isPrime0(sz00)|~aNaturalNumber0(sz00)),inference(er,[status(thm)],[209,theory(equality)])).
% cnf(264,plain,(~isPrime0(sz00)|$false),inference(rw,[status(thm)],[263,60,theory(equality)])).
% cnf(265,plain,(~isPrime0(sz00)),inference(cn,[status(thm)],[264,theory(equality)])).
% cnf(520,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aNaturalNumber0(sdtasdt0(X2,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[82,85,theory(equality)])).
% cnf(526,negated_conjecture,(sdtasdt0(sdtsldt0(xn,xr),sdtasdt0(xm,xr))!=sdtasdt0(xn,xm)|sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)!=sdtasdt0(xn,xm)|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(spm,[status(thm)],[261,85,theory(equality)])).
% cnf(537,negated_conjecture,(sdtasdt0(sdtsldt0(xn,xr),sdtasdt0(xm,xr))!=sdtasdt0(xn,xm)|sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)!=sdtasdt0(xn,xm)|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(rw,[status(thm)],[526,240,theory(equality)])).
% cnf(538,negated_conjecture,(sdtasdt0(sdtsldt0(xn,xr),sdtasdt0(xm,xr))!=sdtasdt0(xn,xm)|sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)!=sdtasdt0(xn,xm)|$false|$false|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(rw,[status(thm)],[537,219,theory(equality)])).
% cnf(539,negated_conjecture,(sdtasdt0(sdtsldt0(xn,xr),sdtasdt0(xm,xr))!=sdtasdt0(xn,xm)|sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)!=sdtasdt0(xn,xm)|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(cn,[status(thm)],[538,theory(equality)])).
% cnf(696,plain,(sz00=X1|aNaturalNumber0(sdtsldt0(X2,X1))|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[182,theory(equality)])).
% cnf(701,plain,(sdtasdt0(X1,sdtsldt0(X2,X1))=X2|sz00=X1|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[181,theory(equality)])).
% cnf(702,plain,(sdtasdt0(xp,X1)=sdtasdt0(xn,xm)|sz00=xp|xk!=X1|~doDivides0(xp,sdtasdt0(xn,xm))|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[181,232,theory(equality)])).
% cnf(703,plain,(sdtasdt0(xp,X1)=sdtasdt0(xn,xm)|sz00=xp|xk!=X1|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[702,224,theory(equality)])).
% cnf(704,plain,(sdtasdt0(xp,X1)=sdtasdt0(xn,xm)|sz00=xp|xk!=X1|$false|$false|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[703,218,theory(equality)])).
% cnf(705,plain,(sdtasdt0(xp,X1)=sdtasdt0(xn,xm)|sz00=xp|xk!=X1|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(cn,[status(thm)],[704,theory(equality)])).
% cnf(902,plain,(sdtsldt0(sdtasdt0(X1,xn),xr)=sdtasdt0(X1,sdtsldt0(xn,xr))|sz00=xr|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[198,246,theory(equality)])).
% cnf(907,plain,(sdtsldt0(sdtasdt0(X1,xn),xr)=sdtasdt0(X1,sdtsldt0(xn,xr))|sz00=xr|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[902,240,theory(equality)])).
% cnf(908,plain,(sdtsldt0(sdtasdt0(X1,xn),xr)=sdtasdt0(X1,sdtsldt0(xn,xr))|sz00=xr|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[907,220,theory(equality)])).
% cnf(909,plain,(sdtsldt0(sdtasdt0(X1,xn),xr)=sdtasdt0(X1,sdtsldt0(xn,xr))|sz00=xr|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[908,theory(equality)])).
% cnf(1451,plain,(sdtasdt0(xp,X1)=sdtasdt0(xn,xm)|xp=sz00|xk!=X1|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[705,68,theory(equality)])).
% cnf(1452,plain,(sdtasdt0(xp,X1)=sdtasdt0(xn,xm)|xp=sz00|xk!=X1|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[1451,219,theory(equality)])).
% cnf(1453,plain,(sdtasdt0(xp,X1)=sdtasdt0(xn,xm)|xp=sz00|xk!=X1|$false|$false),inference(rw,[status(thm)],[1452,220,theory(equality)])).
% cnf(1454,plain,(sdtasdt0(xp,X1)=sdtasdt0(xn,xm)|xp=sz00|xk!=X1),inference(cn,[status(thm)],[1453,theory(equality)])).
% cnf(1455,plain,(sdtasdt0(xp,xk)=sdtasdt0(xn,xm)|xp=sz00),inference(er,[status(thm)],[1454,theory(equality)])).
% cnf(1553,plain,(sdtsldt0(sdtasdt0(xn,X1),xr)=sdtasdt0(X1,sdtsldt0(xn,xr))|xr=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[909,82,theory(equality)])).
% cnf(1567,plain,(sdtsldt0(sdtasdt0(xn,X1),xr)=sdtasdt0(X1,sdtsldt0(xn,xr))|xr=sz00|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1553,220,theory(equality)])).
% cnf(1568,plain,(sdtsldt0(sdtasdt0(xn,X1),xr)=sdtasdt0(X1,sdtsldt0(xn,xr))|xr=sz00|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1567,theory(equality)])).
% cnf(7049,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[520,68])).
% cnf(15329,plain,(sz00=xr|aNaturalNumber0(sdtsldt0(xn,xr))|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[696,246,theory(equality)])).
% cnf(15341,plain,(sz00=xr|aNaturalNumber0(sdtsldt0(xn,xr))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[15329,240,theory(equality)])).
% cnf(15342,plain,(sz00=xr|aNaturalNumber0(sdtsldt0(xn,xr))|$false|$false),inference(rw,[status(thm)],[15341,220,theory(equality)])).
% cnf(15343,plain,(sz00=xr|aNaturalNumber0(sdtsldt0(xn,xr))),inference(cn,[status(thm)],[15342,theory(equality)])).
% cnf(15371,negated_conjecture,(xr=sz00|sdtasdt0(sdtsldt0(xn,xr),sdtasdt0(xm,xr))!=sdtasdt0(xn,xm)|sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)!=sdtasdt0(xn,xm)),inference(spm,[status(thm)],[539,15343,theory(equality)])).
% cnf(15397,negated_conjecture,(xr=sz00|sdtasdt0(xm,sdtasdt0(xr,sdtsldt0(xn,xr)))!=sdtasdt0(xn,xm)|sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)!=sdtasdt0(xn,xm)|~aNaturalNumber0(sdtsldt0(xn,xr))|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[15371,7049,theory(equality)])).
% cnf(15405,negated_conjecture,(xr=sz00|sdtasdt0(xm,sdtasdt0(xr,sdtsldt0(xn,xr)))!=sdtasdt0(xn,xm)|sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)!=sdtasdt0(xn,xm)|~aNaturalNumber0(sdtsldt0(xn,xr))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[15397,240,theory(equality)])).
% cnf(15406,negated_conjecture,(xr=sz00|sdtasdt0(xm,sdtasdt0(xr,sdtsldt0(xn,xr)))!=sdtasdt0(xn,xm)|sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)!=sdtasdt0(xn,xm)|~aNaturalNumber0(sdtsldt0(xn,xr))|$false|$false),inference(rw,[status(thm)],[15405,219,theory(equality)])).
% cnf(15407,negated_conjecture,(xr=sz00|sdtasdt0(xm,sdtasdt0(xr,sdtsldt0(xn,xr)))!=sdtasdt0(xn,xm)|sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)!=sdtasdt0(xn,xm)|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(cn,[status(thm)],[15406,theory(equality)])).
% cnf(15448,plain,(sdtasdt0(xr,sdtsldt0(xn,xr))=xn|sz00=xr|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[701,246,theory(equality)])).
% cnf(15460,plain,(sdtasdt0(xr,sdtsldt0(xn,xr))=xn|sz00=xr|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[15448,240,theory(equality)])).
% cnf(15461,plain,(sdtasdt0(xr,sdtsldt0(xn,xr))=xn|sz00=xr|$false|$false),inference(rw,[status(thm)],[15460,220,theory(equality)])).
% cnf(15462,plain,(sdtasdt0(xr,sdtsldt0(xn,xr))=xn|sz00=xr),inference(cn,[status(thm)],[15461,theory(equality)])).
% cnf(17033,negated_conjecture,(xr=sz00|sdtasdt0(xm,sdtasdt0(xr,sdtsldt0(xn,xr)))!=sdtasdt0(xn,xm)|sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)!=sdtasdt0(xn,xm)),inference(csr,[status(thm)],[15407,15343])).
% cnf(17034,negated_conjecture,(xr=sz00|sdtasdt0(xm,xn)!=sdtasdt0(xn,xm)|sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)!=sdtasdt0(xn,xm)),inference(spm,[status(thm)],[17033,15462,theory(equality)])).
% cnf(17039,negated_conjecture,(xr=sz00|sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)!=sdtasdt0(xn,xm)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[17034,82,theory(equality)])).
% cnf(17041,negated_conjecture,(xr=sz00|sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)!=sdtasdt0(xn,xm)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[17039,219,theory(equality)])).
% cnf(17042,negated_conjecture,(xr=sz00|sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)!=sdtasdt0(xn,xm)|$false|$false),inference(rw,[status(thm)],[17041,220,theory(equality)])).
% cnf(17043,negated_conjecture,(xr=sz00|sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)!=sdtasdt0(xn,xm)),inference(cn,[status(thm)],[17042,theory(equality)])).
% cnf(17047,negated_conjecture,(xr=sz00|xp=sz00|sdtasdt0(sdtsldt0(sdtasdt0(xn,xm),xr),xr)!=sdtasdt0(xn,xm)),inference(spm,[status(thm)],[17043,1455,theory(equality)])).
% cnf(17054,negated_conjecture,(xp=sz00|xr=sz00|sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xr)),xr)!=sdtasdt0(xn,xm)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[17047,1568,theory(equality)])).
% cnf(17057,negated_conjecture,(xp=sz00|xr=sz00|sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xr)),xr)!=sdtasdt0(xn,xm)|$false),inference(rw,[status(thm)],[17054,219,theory(equality)])).
% cnf(17058,negated_conjecture,(xp=sz00|xr=sz00|sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xr)),xr)!=sdtasdt0(xn,xm)),inference(cn,[status(thm)],[17057,theory(equality)])).
% cnf(17183,negated_conjecture,(xr=sz00|xp=sz00|sdtasdt0(xm,sdtasdt0(sdtsldt0(xn,xr),xr))!=sdtasdt0(xn,xm)|~aNaturalNumber0(xr)|~aNaturalNumber0(sdtsldt0(xn,xr))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[17058,85,theory(equality)])).
% cnf(17189,negated_conjecture,(xr=sz00|xp=sz00|sdtasdt0(xm,sdtasdt0(sdtsldt0(xn,xr),xr))!=sdtasdt0(xn,xm)|$false|~aNaturalNumber0(sdtsldt0(xn,xr))|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[17183,240,theory(equality)])).
% cnf(17190,negated_conjecture,(xr=sz00|xp=sz00|sdtasdt0(xm,sdtasdt0(sdtsldt0(xn,xr),xr))!=sdtasdt0(xn,xm)|$false|~aNaturalNumber0(sdtsldt0(xn,xr))|$false),inference(rw,[status(thm)],[17189,219,theory(equality)])).
% cnf(17191,negated_conjecture,(xr=sz00|xp=sz00|sdtasdt0(xm,sdtasdt0(sdtsldt0(xn,xr),xr))!=sdtasdt0(xn,xm)|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(cn,[status(thm)],[17190,theory(equality)])).
% cnf(17382,negated_conjecture,(xr=sz00|xp=sz00|sdtasdt0(xm,sdtasdt0(sdtsldt0(xn,xr),xr))!=sdtasdt0(xn,xm)),inference(csr,[status(thm)],[17191,15343])).
% cnf(17383,negated_conjecture,(xp=sz00|xr=sz00|sdtasdt0(xm,sdtasdt0(xr,sdtsldt0(xn,xr)))!=sdtasdt0(xn,xm)|~aNaturalNumber0(sdtsldt0(xn,xr))|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[17382,82,theory(equality)])).
% cnf(17386,negated_conjecture,(xp=sz00|xr=sz00|sdtasdt0(xm,sdtasdt0(xr,sdtsldt0(xn,xr)))!=sdtasdt0(xn,xm)|~aNaturalNumber0(sdtsldt0(xn,xr))|$false),inference(rw,[status(thm)],[17383,240,theory(equality)])).
% cnf(17387,negated_conjecture,(xp=sz00|xr=sz00|sdtasdt0(xm,sdtasdt0(xr,sdtsldt0(xn,xr)))!=sdtasdt0(xn,xm)|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(cn,[status(thm)],[17386,theory(equality)])).
% cnf(17422,negated_conjecture,(xp=sz00|xr=sz00|sdtasdt0(xm,sdtasdt0(xr,sdtsldt0(xn,xr)))!=sdtasdt0(xn,xm)),inference(csr,[status(thm)],[17387,15343])).
% cnf(17423,negated_conjecture,(xr=sz00|xp=sz00|sdtasdt0(xm,xn)!=sdtasdt0(xn,xm)),inference(spm,[status(thm)],[17422,15462,theory(equality)])).
% cnf(17428,negated_conjecture,(xp=sz00|xr=sz00|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[17423,82,theory(equality)])).
% cnf(17430,negated_conjecture,(xp=sz00|xr=sz00|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[17428,219,theory(equality)])).
% cnf(17431,negated_conjecture,(xp=sz00|xr=sz00|$false|$false),inference(rw,[status(thm)],[17430,220,theory(equality)])).
% cnf(17432,negated_conjecture,(xp=sz00|xr=sz00),inference(cn,[status(thm)],[17431,theory(equality)])).
% cnf(17437,negated_conjecture,(isPrime0(sz00)|xp=sz00),inference(spm,[status(thm)],[238,17432,theory(equality)])).
% cnf(17503,negated_conjecture,(xp=sz00),inference(sr,[status(thm)],[17437,265,theory(equality)])).
% cnf(17982,plain,(isPrime0(sz00)),inference(rw,[status(thm)],[225,17503,theory(equality)])).
% cnf(17983,plain,($false),inference(sr,[status(thm)],[17982,265,theory(equality)])).
% cnf(17984,plain,($false),17983,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1351
% # ...of these trivial : 6
% # ...subsumed : 615
% # ...remaining for further processing: 730
% # Other redundant clauses eliminated : 31
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 85
% # Backward-rewritten : 313
% # Generated clauses : 6322
% # ...of the previous two non-trivial : 5870
% # Contextual simplify-reflections : 470
% # Paramodulations : 6246
% # Factorizations : 4
% # Equation resolutions : 72
% # Current number of processed clauses: 331
% # Positive orientable unit clauses: 53
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 6
% # Non-unit-clauses : 272
% # Current number of unprocessed clauses: 2409
% # ...number of literals in the above : 11897
% # Clause-clause subsumption calls (NU) : 9759
% # Rec. Clause-clause subsumption calls : 6788
% # Unit Clause-clause subsumption calls : 201
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 17
% # Indexed BW rewrite successes : 17
% # Backwards rewriting index: 256 leaves, 1.21+/-0.843 terms/leaf
% # Paramod-from index: 160 leaves, 1.06+/-0.256 terms/leaf
% # Paramod-into index: 216 leaves, 1.17+/-0.790 terms/leaf
% # -------------------------------------------------
% # User time : 0.363 s
% # System time : 0.018 s
% # Total time : 0.381 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.74 CPU 0.84 WC
% FINAL PrfWatch: 0.74 CPU 0.84 WC
% SZS output end Solution for /tmp/SystemOnTPTP11293/NUM512+1.tptp
%
%------------------------------------------------------------------------------