TSTP Solution File: RNG062+2 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : RNG062+2 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art04.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 22:14:40 EST 2010
% Result : Theorem 7.34s
% Output : Solution 7.34s
% 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/SystemOnTPTP21013/RNG062+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP21013/RNG062+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP21013/RNG062+2.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 21109
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.94 CPU 2.02 WC
% # Preprocessing time : 0.018 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.92 CPU 4.02 WC
% PrfWatch: 5.91 CPU 6.03 WC
% # SZS output start CNFRefutation.
% fof(6, axiom,![X1]:![X2]:((aScalar0(X1)&aScalar0(X2))=>aScalar0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mSumSc)).
% fof(7, axiom,![X1]:![X2]:((aScalar0(X1)&aScalar0(X2))=>aScalar0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mMulSc)).
% fof(8, axiom,![X1]:(aScalar0(X1)=>aScalar0(smndt0(X1))),file('/tmp/SRASS.s.p', mNegSc)).
% fof(9, axiom,![X1]:![X2]:![X3]:(((aScalar0(X1)&aScalar0(X2))&aScalar0(X3))=>(((sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))&sdtpldt0(X1,X2)=sdtpldt0(X2,X1))&sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3)))&sdtasdt0(X1,X2)=sdtasdt0(X2,X1))),file('/tmp/SRASS.s.p', mArith)).
% fof(10, axiom,![X1]:![X2]:![X3]:(((aScalar0(X1)&aScalar0(X2))&aScalar0(X3))=>(sdtasdt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))&sdtasdt0(sdtpldt0(X1,X2),X3)=sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)))),file('/tmp/SRASS.s.p', mDistr)).
% fof(12, axiom,![X1]:![X2]:((aScalar0(X1)&aScalar0(X2))=>(sdtasdt0(X1,smndt0(X2))=smndt0(sdtasdt0(X1,X2))&sdtasdt0(smndt0(X1),X2)=smndt0(sdtasdt0(X1,X2)))),file('/tmp/SRASS.s.p', mMNeg)).
% fof(34, axiom,(aScalar0(xD)&xD=sdtasasdt0(xq,xq)),file('/tmp/SRASS.s.p', m__1800)).
% fof(36, axiom,(aScalar0(xF)&xF=sdtasdt0(xA,xA)),file('/tmp/SRASS.s.p', m__1837)).
% fof(39, axiom,(aScalar0(xR)&xR=sdtasdt0(xC,xG)),file('/tmp/SRASS.s.p', m__1892)).
% fof(41, axiom,(aScalar0(xS)&xS=sdtasdt0(xF,xD)),file('/tmp/SRASS.s.p', m__1930)).
% fof(45, axiom,((sdtasdt0(xR,smndt0(xS))=smndt0(xN)&sdtasdt0(smndt0(xS),xR)=smndt0(xN))&sdtasdt0(smndt0(xS),smndt0(xS))=sdtasdt0(xS,xS)),file('/tmp/SRASS.s.p', m__2144)).
% fof(47, axiom,sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),file('/tmp/SRASS.s.p', m__2221)).
% fof(61, conjecture,sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)),file('/tmp/SRASS.s.p', m__)).
% fof(62, negated_conjecture,~(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN))),inference(assume_negation,[status(cth)],[61])).
% fof(68, negated_conjecture,~(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN))),inference(fof_simplification,[status(thm)],[62,theory(equality)])).
% fof(87, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|aScalar0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[6])).
% fof(88, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|aScalar0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[87])).
% cnf(89,plain,(aScalar0(sdtpldt0(X1,X2))|~aScalar0(X2)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[88])).
% fof(90, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|aScalar0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[7])).
% fof(91, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|aScalar0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[90])).
% cnf(92,plain,(aScalar0(sdtasdt0(X1,X2))|~aScalar0(X2)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[91])).
% fof(93, plain,![X1]:(~(aScalar0(X1))|aScalar0(smndt0(X1))),inference(fof_nnf,[status(thm)],[8])).
% fof(94, plain,![X2]:(~(aScalar0(X2))|aScalar0(smndt0(X2))),inference(variable_rename,[status(thm)],[93])).
% cnf(95,plain,(aScalar0(smndt0(X1))|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[94])).
% fof(96, plain,![X1]:![X2]:![X3]:(((~(aScalar0(X1))|~(aScalar0(X2)))|~(aScalar0(X3)))|(((sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))&sdtpldt0(X1,X2)=sdtpldt0(X2,X1))&sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3)))&sdtasdt0(X1,X2)=sdtasdt0(X2,X1))),inference(fof_nnf,[status(thm)],[9])).
% fof(97, plain,![X4]:![X5]:![X6]:(((~(aScalar0(X4))|~(aScalar0(X5)))|~(aScalar0(X6)))|(((sdtpldt0(sdtpldt0(X4,X5),X6)=sdtpldt0(X4,sdtpldt0(X5,X6))&sdtpldt0(X4,X5)=sdtpldt0(X5,X4))&sdtasdt0(sdtasdt0(X4,X5),X6)=sdtasdt0(X4,sdtasdt0(X5,X6)))&sdtasdt0(X4,X5)=sdtasdt0(X5,X4))),inference(variable_rename,[status(thm)],[96])).
% fof(98, plain,![X4]:![X5]:![X6]:((((sdtpldt0(sdtpldt0(X4,X5),X6)=sdtpldt0(X4,sdtpldt0(X5,X6))|((~(aScalar0(X4))|~(aScalar0(X5)))|~(aScalar0(X6))))&(sdtpldt0(X4,X5)=sdtpldt0(X5,X4)|((~(aScalar0(X4))|~(aScalar0(X5)))|~(aScalar0(X6)))))&(sdtasdt0(sdtasdt0(X4,X5),X6)=sdtasdt0(X4,sdtasdt0(X5,X6))|((~(aScalar0(X4))|~(aScalar0(X5)))|~(aScalar0(X6)))))&(sdtasdt0(X4,X5)=sdtasdt0(X5,X4)|((~(aScalar0(X4))|~(aScalar0(X5)))|~(aScalar0(X6))))),inference(distribute,[status(thm)],[97])).
% cnf(101,plain,(sdtpldt0(X3,X2)=sdtpldt0(X2,X3)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(split_conjunct,[status(thm)],[98])).
% cnf(102,plain,(sdtpldt0(sdtpldt0(X3,X2),X1)=sdtpldt0(X3,sdtpldt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(split_conjunct,[status(thm)],[98])).
% fof(103, plain,![X1]:![X2]:![X3]:(((~(aScalar0(X1))|~(aScalar0(X2)))|~(aScalar0(X3)))|(sdtasdt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))&sdtasdt0(sdtpldt0(X1,X2),X3)=sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)))),inference(fof_nnf,[status(thm)],[10])).
% fof(104, plain,![X4]:![X5]:![X6]:(((~(aScalar0(X4))|~(aScalar0(X5)))|~(aScalar0(X6)))|(sdtasdt0(X4,sdtpldt0(X5,X6))=sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))&sdtasdt0(sdtpldt0(X4,X5),X6)=sdtpldt0(sdtasdt0(X4,X6),sdtasdt0(X5,X6)))),inference(variable_rename,[status(thm)],[103])).
% fof(105, plain,![X4]:![X5]:![X6]:((sdtasdt0(X4,sdtpldt0(X5,X6))=sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))|((~(aScalar0(X4))|~(aScalar0(X5)))|~(aScalar0(X6))))&(sdtasdt0(sdtpldt0(X4,X5),X6)=sdtpldt0(sdtasdt0(X4,X6),sdtasdt0(X5,X6))|((~(aScalar0(X4))|~(aScalar0(X5)))|~(aScalar0(X6))))),inference(distribute,[status(thm)],[104])).
% cnf(107,plain,(sdtasdt0(X3,sdtpldt0(X2,X1))=sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(split_conjunct,[status(thm)],[105])).
% fof(111, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|(sdtasdt0(X1,smndt0(X2))=smndt0(sdtasdt0(X1,X2))&sdtasdt0(smndt0(X1),X2)=smndt0(sdtasdt0(X1,X2)))),inference(fof_nnf,[status(thm)],[12])).
% fof(112, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|(sdtasdt0(X3,smndt0(X4))=smndt0(sdtasdt0(X3,X4))&sdtasdt0(smndt0(X3),X4)=smndt0(sdtasdt0(X3,X4)))),inference(variable_rename,[status(thm)],[111])).
% fof(113, plain,![X3]:![X4]:((sdtasdt0(X3,smndt0(X4))=smndt0(sdtasdt0(X3,X4))|(~(aScalar0(X3))|~(aScalar0(X4))))&(sdtasdt0(smndt0(X3),X4)=smndt0(sdtasdt0(X3,X4))|(~(aScalar0(X3))|~(aScalar0(X4))))),inference(distribute,[status(thm)],[112])).
% cnf(115,plain,(sdtasdt0(X2,smndt0(X1))=smndt0(sdtasdt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)),inference(split_conjunct,[status(thm)],[113])).
% cnf(187,plain,(aScalar0(xD)),inference(split_conjunct,[status(thm)],[34])).
% cnf(191,plain,(aScalar0(xF)),inference(split_conjunct,[status(thm)],[36])).
% cnf(197,plain,(aScalar0(xR)),inference(split_conjunct,[status(thm)],[39])).
% cnf(200,plain,(xS=sdtasdt0(xF,xD)),inference(split_conjunct,[status(thm)],[41])).
% cnf(201,plain,(aScalar0(xS)),inference(split_conjunct,[status(thm)],[41])).
% cnf(206,plain,(sdtasdt0(smndt0(xS),smndt0(xS))=sdtasdt0(xS,xS)),inference(split_conjunct,[status(thm)],[45])).
% cnf(208,plain,(sdtasdt0(xR,smndt0(xS))=smndt0(xN)),inference(split_conjunct,[status(thm)],[45])).
% cnf(210,plain,(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)))),inference(split_conjunct,[status(thm)],[47])).
% cnf(253,negated_conjecture,(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))!=sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN))),inference(split_conjunct,[status(thm)],[68])).
% cnf(336,plain,(aScalar0(smndt0(xN))|~aScalar0(smndt0(xS))|~aScalar0(xR)),inference(spm,[status(thm)],[92,208,theory(equality)])).
% cnf(344,plain,(aScalar0(sdtasdt0(xS,xS))|~aScalar0(smndt0(xS))),inference(spm,[status(thm)],[92,206,theory(equality)])).
% cnf(353,plain,(aScalar0(smndt0(xN))|~aScalar0(smndt0(xS))|$false),inference(rw,[status(thm)],[336,197,theory(equality)])).
% cnf(354,plain,(aScalar0(smndt0(xN))|~aScalar0(smndt0(xS))),inference(cn,[status(thm)],[353,theory(equality)])).
% cnf(392,plain,(aScalar0(sdtasdt0(X1,smndt0(X2)))|~aScalar0(sdtasdt0(X1,X2))|~aScalar0(X1)|~aScalar0(X2)),inference(spm,[status(thm)],[95,115,theory(equality)])).
% cnf(401,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|~aScalar0(xF)|~aScalar0(xD)),inference(spm,[status(thm)],[115,200,theory(equality)])).
% cnf(419,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|$false|~aScalar0(xD)),inference(rw,[status(thm)],[401,191,theory(equality)])).
% cnf(420,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|$false|$false),inference(rw,[status(thm)],[419,187,theory(equality)])).
% cnf(421,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))),inference(cn,[status(thm)],[420,theory(equality)])).
% cnf(705,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X3,sdtpldt0(X1,X2))|~aScalar0(X3)|~aScalar0(sdtpldt0(X1,X2))|~aScalar0(X4)|~aScalar0(X1)|~aScalar0(X2)),inference(spm,[status(thm)],[101,102,theory(equality)])).
% cnf(707,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X2,sdtpldt0(X3,X1))|~aScalar0(sdtpldt0(X2,X3))|~aScalar0(X1)|~aScalar0(X4)|~aScalar0(X2)|~aScalar0(X3)),inference(spm,[status(thm)],[101,102,theory(equality)])).
% cnf(708,negated_conjecture,(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),smndt0(xN))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(sdtasdt0(xR,xR))|~aScalar0(sdtasdt0(xS,xS))|~aScalar0(smndt0(xN))),inference(spm,[status(thm)],[253,102,theory(equality)])).
% cnf(785,plain,(aScalar0(sdtasdt0(X1,sdtpldt0(X2,X3)))|~aScalar0(sdtasdt0(X1,X3))|~aScalar0(sdtasdt0(X1,X2))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(spm,[status(thm)],[89,107,theory(equality)])).
% cnf(791,plain,(sdtpldt0(sdtasdt0(xR,X1),smndt0(xN))=sdtasdt0(xR,sdtpldt0(X1,smndt0(xS)))|~aScalar0(xR)|~aScalar0(X1)|~aScalar0(smndt0(xS))),inference(spm,[status(thm)],[107,208,theory(equality)])).
% cnf(826,plain,(sdtpldt0(sdtasdt0(xR,X1),smndt0(xN))=sdtasdt0(xR,sdtpldt0(X1,smndt0(xS)))|$false|~aScalar0(X1)|~aScalar0(smndt0(xS))),inference(rw,[status(thm)],[791,197,theory(equality)])).
% cnf(827,plain,(sdtpldt0(sdtasdt0(xR,X1),smndt0(xN))=sdtasdt0(xR,sdtpldt0(X1,smndt0(xS)))|~aScalar0(X1)|~aScalar0(smndt0(xS))),inference(cn,[status(thm)],[826,theory(equality)])).
% cnf(5824,plain,(aScalar0(smndt0(xN))|~aScalar0(xS)),inference(spm,[status(thm)],[354,95,theory(equality)])).
% cnf(5825,plain,(aScalar0(smndt0(xN))|$false),inference(rw,[status(thm)],[5824,201,theory(equality)])).
% cnf(5826,plain,(aScalar0(smndt0(xN))),inference(cn,[status(thm)],[5825,theory(equality)])).
% cnf(6122,plain,(aScalar0(sdtasdt0(xS,xS))|~aScalar0(xS)),inference(spm,[status(thm)],[344,95,theory(equality)])).
% cnf(6123,plain,(aScalar0(sdtasdt0(xS,xS))|$false),inference(rw,[status(thm)],[6122,201,theory(equality)])).
% cnf(6124,plain,(aScalar0(sdtasdt0(xS,xS))),inference(cn,[status(thm)],[6123,theory(equality)])).
% cnf(7023,plain,(aScalar0(sdtasdt0(X1,smndt0(X2)))|~aScalar0(X1)|~aScalar0(X2)),inference(csr,[status(thm)],[392,92])).
% cnf(10121,plain,(aScalar0(smndt0(xS))|~aScalar0(xF)|~aScalar0(xD)),inference(spm,[status(thm)],[7023,421,theory(equality)])).
% cnf(10161,plain,(aScalar0(smndt0(xS))|$false|~aScalar0(xD)),inference(rw,[status(thm)],[10121,191,theory(equality)])).
% cnf(10162,plain,(aScalar0(smndt0(xS))|$false|$false),inference(rw,[status(thm)],[10161,187,theory(equality)])).
% cnf(10163,plain,(aScalar0(smndt0(xS))),inference(cn,[status(thm)],[10162,theory(equality)])).
% cnf(33941,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X3,sdtpldt0(X1,X2))|~aScalar0(X4)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(csr,[status(thm)],[705,89])).
% cnf(35503,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X2,sdtpldt0(X3,X1))|~aScalar0(sdtpldt0(X2,X3))|~aScalar0(X2)|~aScalar0(X3)|~aScalar0(X1)),inference(csr,[status(thm)],[707,33941])).
% cnf(35504,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X2,sdtpldt0(X3,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(csr,[status(thm)],[35503,89])).
% cnf(36330,negated_conjecture,(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),smndt0(xN))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(sdtasdt0(xR,xR))|$false|~aScalar0(smndt0(xN))),inference(rw,[status(thm)],[708,6124,theory(equality)])).
% cnf(36331,negated_conjecture,(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),smndt0(xN))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(sdtasdt0(xR,xR))|$false|$false),inference(rw,[status(thm)],[36330,5826,theory(equality)])).
% cnf(36332,negated_conjecture,(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),smndt0(xN))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(sdtasdt0(xR,xR))),inference(cn,[status(thm)],[36331,theory(equality)])).
% cnf(36335,negated_conjecture,(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),smndt0(xN))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(xR)),inference(spm,[status(thm)],[36332,92,theory(equality)])).
% cnf(36340,negated_conjecture,(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),smndt0(xN))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|$false),inference(rw,[status(thm)],[36335,197,theory(equality)])).
% cnf(36341,negated_conjecture,(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),smndt0(xN))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))),inference(cn,[status(thm)],[36340,theory(equality)])).
% cnf(36346,negated_conjecture,(sdtpldt0(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR))),smndt0(xN))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(sdtasdt0(xR,xR))|~aScalar0(sdtasdt0(xS,xS))|~aScalar0(smndt0(xN))),inference(spm,[status(thm)],[36341,35504,theory(equality)])).
% cnf(36361,negated_conjecture,(sdtpldt0(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR))),smndt0(xN))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(sdtasdt0(xR,xR))|$false|~aScalar0(smndt0(xN))),inference(rw,[status(thm)],[36346,6124,theory(equality)])).
% cnf(36362,negated_conjecture,(sdtpldt0(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR))),smndt0(xN))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(sdtasdt0(xR,xR))|$false|$false),inference(rw,[status(thm)],[36361,5826,theory(equality)])).
% cnf(36363,negated_conjecture,(sdtpldt0(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR))),smndt0(xN))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(sdtasdt0(xR,xR))),inference(cn,[status(thm)],[36362,theory(equality)])).
% cnf(36379,negated_conjecture,(sdtpldt0(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR))),smndt0(xN))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(xR)),inference(spm,[status(thm)],[36363,92,theory(equality)])).
% cnf(36384,negated_conjecture,(sdtpldt0(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR))),smndt0(xN))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|$false),inference(rw,[status(thm)],[36379,197,theory(equality)])).
% cnf(36385,negated_conjecture,(sdtpldt0(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR))),smndt0(xN))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))),inference(cn,[status(thm)],[36384,theory(equality)])).
% cnf(36398,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),smndt0(xN)))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(sdtasdt0(xS,xS))|~aScalar0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)))|~aScalar0(smndt0(xN))),inference(spm,[status(thm)],[36385,102,theory(equality)])).
% cnf(36424,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),smndt0(xN)))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|$false|~aScalar0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)))|~aScalar0(smndt0(xN))),inference(rw,[status(thm)],[36398,6124,theory(equality)])).
% cnf(36425,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),smndt0(xN)))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|$false|~aScalar0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)))|$false),inference(rw,[status(thm)],[36424,5826,theory(equality)])).
% cnf(36426,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),smndt0(xN)))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)))),inference(cn,[status(thm)],[36425,theory(equality)])).
% cnf(36919,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),smndt0(xN)))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(sdtasdt0(xR,xR))|~aScalar0(smndt0(xN))),inference(spm,[status(thm)],[36426,89,theory(equality)])).
% cnf(36932,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),smndt0(xN)))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(sdtasdt0(xR,xR))|$false),inference(rw,[status(thm)],[36919,5826,theory(equality)])).
% cnf(36933,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),smndt0(xN)))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(sdtasdt0(xR,xR))),inference(cn,[status(thm)],[36932,theory(equality)])).
% cnf(36936,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),smndt0(xN)))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(xR)),inference(spm,[status(thm)],[36933,92,theory(equality)])).
% cnf(36941,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),smndt0(xN)))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|$false),inference(rw,[status(thm)],[36936,197,theory(equality)])).
% cnf(36942,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),smndt0(xN)))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))),inference(cn,[status(thm)],[36941,theory(equality)])).
% cnf(36953,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(smndt0(xN))|~aScalar0(sdtasdt0(xR,xR))),inference(spm,[status(thm)],[36942,102,theory(equality)])).
% cnf(36976,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|$false|~aScalar0(sdtasdt0(xR,xR))),inference(rw,[status(thm)],[36953,5826,theory(equality)])).
% cnf(36977,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(sdtasdt0(xR,xR))),inference(cn,[status(thm)],[36976,theory(equality)])).
% cnf(36984,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(xR)),inference(spm,[status(thm)],[36977,92,theory(equality)])).
% cnf(36989,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|$false),inference(rw,[status(thm)],[36984,197,theory(equality)])).
% cnf(36990,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))),inference(cn,[status(thm)],[36989,theory(equality)])).
% cnf(72424,plain,(aScalar0(sdtasdt0(X1,sdtpldt0(X2,X3)))|~aScalar0(sdtasdt0(X1,X3))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(csr,[status(thm)],[785,92])).
% cnf(72425,plain,(aScalar0(sdtasdt0(X1,sdtpldt0(X2,X3)))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(csr,[status(thm)],[72424,92])).
% cnf(86828,plain,(sdtpldt0(sdtasdt0(xR,X1),smndt0(xN))=sdtasdt0(xR,sdtpldt0(X1,smndt0(xS)))|~aScalar0(X1)|$false),inference(rw,[status(thm)],[827,10163,theory(equality)])).
% cnf(86829,plain,(sdtpldt0(sdtasdt0(xR,X1),smndt0(xN))=sdtasdt0(xR,sdtpldt0(X1,smndt0(xS)))|~aScalar0(X1)),inference(cn,[status(thm)],[86828,theory(equality)])).
% cnf(86848,plain,(sdtpldt0(sdtasdt0(xR,sdtpldt0(xR,smndt0(xS))),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)))=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(xR)),inference(spm,[status(thm)],[210,86829,theory(equality)])).
% cnf(86853,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtasdt0(xR,sdtpldt0(xR,smndt0(xS)))))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(xR)),inference(spm,[status(thm)],[36990,86829,theory(equality)])).
% cnf(86925,plain,(sdtpldt0(sdtasdt0(xR,sdtpldt0(xR,smndt0(xS))),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)))=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|$false),inference(rw,[status(thm)],[86848,197,theory(equality)])).
% cnf(86926,plain,(sdtpldt0(sdtasdt0(xR,sdtpldt0(xR,smndt0(xS))),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)))=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))),inference(cn,[status(thm)],[86925,theory(equality)])).
% cnf(86935,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtasdt0(xR,sdtpldt0(xR,smndt0(xS)))))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|$false),inference(rw,[status(thm)],[86853,197,theory(equality)])).
% cnf(86936,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtasdt0(xR,sdtpldt0(xR,smndt0(xS)))))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))),inference(cn,[status(thm)],[86935,theory(equality)])).
% cnf(270001,plain,(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtasdt0(xR,sdtpldt0(xR,smndt0(xS)))))|~aScalar0(sdtasdt0(xR,sdtpldt0(xR,smndt0(xS))))|~aScalar0(sdtasdt0(xS,xS))|~aScalar0(smndt0(xN))),inference(spm,[status(thm)],[35504,86926,theory(equality)])).
% cnf(270009,plain,(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtasdt0(xR,sdtpldt0(xR,smndt0(xS)))))|~aScalar0(sdtasdt0(xR,sdtpldt0(xR,smndt0(xS))))|$false|~aScalar0(smndt0(xN))),inference(rw,[status(thm)],[270001,6124,theory(equality)])).
% cnf(270010,plain,(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtasdt0(xR,sdtpldt0(xR,smndt0(xS)))))|~aScalar0(sdtasdt0(xR,sdtpldt0(xR,smndt0(xS))))|$false|$false),inference(rw,[status(thm)],[270009,5826,theory(equality)])).
% cnf(270011,plain,(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtasdt0(xR,sdtpldt0(xR,smndt0(xS)))))|~aScalar0(sdtasdt0(xR,sdtpldt0(xR,smndt0(xS))))),inference(cn,[status(thm)],[270010,theory(equality)])).
% cnf(270012,plain,(~aScalar0(sdtasdt0(xR,sdtpldt0(xR,smndt0(xS))))),inference(sr,[status(thm)],[270011,86936,theory(equality)])).
% cnf(270045,plain,(~aScalar0(xR)|~aScalar0(smndt0(xS))),inference(spm,[status(thm)],[270012,72425,theory(equality)])).
% cnf(270048,plain,($false|~aScalar0(smndt0(xS))),inference(rw,[status(thm)],[270045,197,theory(equality)])).
% cnf(270049,plain,($false|$false),inference(rw,[status(thm)],[270048,10163,theory(equality)])).
% cnf(270050,plain,($false),inference(cn,[status(thm)],[270049,theory(equality)])).
% cnf(270051,plain,($false),270050,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 3070
% # ...of these trivial : 1144
% # ...subsumed : 105
% # ...remaining for further processing: 1821
% # Other redundant clauses eliminated : 1
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 12
% # Backward-rewritten : 571
% # Generated clauses : 76664
% # ...of the previous two non-trivial : 68417
% # Contextual simplify-reflections : 119
% # Paramodulations : 76639
% # Factorizations : 2
% # Equation resolutions : 23
% # Current number of processed clauses: 1238
% # Positive orientable unit clauses: 970
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 20
% # Non-unit-clauses : 248
% # Current number of unprocessed clauses: 57800
% # ...number of literals in the above : 180098
% # Clause-clause subsumption calls (NU) : 7392
% # Rec. Clause-clause subsumption calls : 3664
% # Unit Clause-clause subsumption calls : 1007
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 2546
% # Indexed BW rewrite successes : 212
% # Backwards rewriting index: 1054 leaves, 1.66+/-1.946 terms/leaf
% # Paramod-from index: 669 leaves, 1.69+/-1.946 terms/leaf
% # Paramod-into index: 914 leaves, 1.65+/-1.814 terms/leaf
% # -------------------------------------------------
% # User time : 2.852 s
% # System time : 0.137 s
% # Total time : 2.989 s
% # Maximum resident set size: 0 pages
% PrfWatch: 6.45 CPU 6.59 WC
% FINAL PrfWatch: 6.45 CPU 6.59 WC
% SZS output end Solution for /tmp/SystemOnTPTP21013/RNG062+2.tptp
%
%------------------------------------------------------------------------------