TSTP Solution File: RNG062+1 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : RNG062+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 : art02.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 22:14:33 EST 2010
% Result : Theorem 7.15s
% Output : Solution 7.15s
% 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/SystemOnTPTP23152/RNG062+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP23152/RNG062+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP23152/RNG062+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 23248
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.94 CPU 2.01 WC
% # Preprocessing time : 0.016 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.91 CPU 4.02 WC
% PrfWatch: 5.90 CPU 6.02 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:((aScalar0(X1)&aScalar0(X2))=>aScalar0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mSumSc)).
% fof(2, axiom,![X1]:![X2]:((aScalar0(X1)&aScalar0(X2))=>aScalar0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mMulSc)).
% fof(3, axiom,![X1]:(aScalar0(X1)=>aScalar0(smndt0(X1))),file('/tmp/SRASS.s.p', mNegSc)).
% fof(4, 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(5, 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(7, 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(26, axiom,(aScalar0(xD)&xD=sdtasasdt0(xq,xq)),file('/tmp/SRASS.s.p', m__1800)).
% fof(28, axiom,(aScalar0(xF)&xF=sdtasdt0(xA,xA)),file('/tmp/SRASS.s.p', m__1837)).
% fof(31, axiom,(aScalar0(xR)&xR=sdtasdt0(xC,xG)),file('/tmp/SRASS.s.p', m__1892)).
% fof(33, axiom,(aScalar0(xS)&xS=sdtasdt0(xF,xD)),file('/tmp/SRASS.s.p', m__1930)).
% fof(37, 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(39, 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(69, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|aScalar0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(70, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|aScalar0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[69])).
% cnf(71,plain,(aScalar0(sdtpldt0(X1,X2))|~aScalar0(X2)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[70])).
% fof(72, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|aScalar0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(73, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|aScalar0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[72])).
% cnf(74,plain,(aScalar0(sdtasdt0(X1,X2))|~aScalar0(X2)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[73])).
% fof(75, plain,![X1]:(~(aScalar0(X1))|aScalar0(smndt0(X1))),inference(fof_nnf,[status(thm)],[3])).
% fof(76, plain,![X2]:(~(aScalar0(X2))|aScalar0(smndt0(X2))),inference(variable_rename,[status(thm)],[75])).
% cnf(77,plain,(aScalar0(smndt0(X1))|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[76])).
% fof(78, 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)],[4])).
% fof(79, 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)],[78])).
% fof(80, 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)],[79])).
% cnf(83,plain,(sdtpldt0(X3,X2)=sdtpldt0(X2,X3)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(split_conjunct,[status(thm)],[80])).
% cnf(84,plain,(sdtpldt0(sdtpldt0(X3,X2),X1)=sdtpldt0(X3,sdtpldt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(split_conjunct,[status(thm)],[80])).
% fof(85, 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)],[5])).
% fof(86, 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)],[85])).
% fof(87, 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)],[86])).
% cnf(89,plain,(sdtasdt0(X3,sdtpldt0(X2,X1))=sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(split_conjunct,[status(thm)],[87])).
% fof(93, 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)],[7])).
% fof(94, 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)],[93])).
% fof(95, 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)],[94])).
% cnf(97,plain,(sdtasdt0(X2,smndt0(X1))=smndt0(sdtasdt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)),inference(split_conjunct,[status(thm)],[95])).
% cnf(143,plain,(aScalar0(xD)),inference(split_conjunct,[status(thm)],[26])).
% cnf(147,plain,(aScalar0(xF)),inference(split_conjunct,[status(thm)],[28])).
% cnf(153,plain,(aScalar0(xR)),inference(split_conjunct,[status(thm)],[31])).
% cnf(156,plain,(xS=sdtasdt0(xF,xD)),inference(split_conjunct,[status(thm)],[33])).
% cnf(157,plain,(aScalar0(xS)),inference(split_conjunct,[status(thm)],[33])).
% cnf(162,plain,(sdtasdt0(smndt0(xS),smndt0(xS))=sdtasdt0(xS,xS)),inference(split_conjunct,[status(thm)],[37])).
% cnf(164,plain,(sdtasdt0(xR,smndt0(xS))=smndt0(xN)),inference(split_conjunct,[status(thm)],[37])).
% cnf(166,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)],[39])).
% cnf(243,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(309,plain,(aScalar0(smndt0(xN))|~aScalar0(smndt0(xS))|~aScalar0(xR)),inference(spm,[status(thm)],[74,164,theory(equality)])).
% cnf(317,plain,(aScalar0(sdtasdt0(xS,xS))|~aScalar0(smndt0(xS))),inference(spm,[status(thm)],[74,162,theory(equality)])).
% cnf(326,plain,(aScalar0(smndt0(xN))|~aScalar0(smndt0(xS))|$false),inference(rw,[status(thm)],[309,153,theory(equality)])).
% cnf(327,plain,(aScalar0(smndt0(xN))|~aScalar0(smndt0(xS))),inference(cn,[status(thm)],[326,theory(equality)])).
% cnf(365,plain,(aScalar0(sdtasdt0(X1,smndt0(X2)))|~aScalar0(sdtasdt0(X1,X2))|~aScalar0(X1)|~aScalar0(X2)),inference(spm,[status(thm)],[77,97,theory(equality)])).
% cnf(374,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|~aScalar0(xF)|~aScalar0(xD)),inference(spm,[status(thm)],[97,156,theory(equality)])).
% cnf(392,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|$false|~aScalar0(xD)),inference(rw,[status(thm)],[374,147,theory(equality)])).
% cnf(393,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|$false|$false),inference(rw,[status(thm)],[392,143,theory(equality)])).
% cnf(394,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))),inference(cn,[status(thm)],[393,theory(equality)])).
% cnf(678,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)],[83,84,theory(equality)])).
% cnf(680,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)],[83,84,theory(equality)])).
% cnf(681,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)],[243,84,theory(equality)])).
% cnf(758,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)],[71,89,theory(equality)])).
% cnf(764,plain,(sdtpldt0(sdtasdt0(xR,X1),smndt0(xN))=sdtasdt0(xR,sdtpldt0(X1,smndt0(xS)))|~aScalar0(xR)|~aScalar0(X1)|~aScalar0(smndt0(xS))),inference(spm,[status(thm)],[89,164,theory(equality)])).
% cnf(799,plain,(sdtpldt0(sdtasdt0(xR,X1),smndt0(xN))=sdtasdt0(xR,sdtpldt0(X1,smndt0(xS)))|$false|~aScalar0(X1)|~aScalar0(smndt0(xS))),inference(rw,[status(thm)],[764,153,theory(equality)])).
% cnf(800,plain,(sdtpldt0(sdtasdt0(xR,X1),smndt0(xN))=sdtasdt0(xR,sdtpldt0(X1,smndt0(xS)))|~aScalar0(X1)|~aScalar0(smndt0(xS))),inference(cn,[status(thm)],[799,theory(equality)])).
% cnf(4601,plain,(aScalar0(smndt0(xN))|~aScalar0(xS)),inference(spm,[status(thm)],[327,77,theory(equality)])).
% cnf(4602,plain,(aScalar0(smndt0(xN))|$false),inference(rw,[status(thm)],[4601,157,theory(equality)])).
% cnf(4603,plain,(aScalar0(smndt0(xN))),inference(cn,[status(thm)],[4602,theory(equality)])).
% cnf(4880,plain,(aScalar0(sdtasdt0(xS,xS))|~aScalar0(xS)),inference(spm,[status(thm)],[317,77,theory(equality)])).
% cnf(4881,plain,(aScalar0(sdtasdt0(xS,xS))|$false),inference(rw,[status(thm)],[4880,157,theory(equality)])).
% cnf(4882,plain,(aScalar0(sdtasdt0(xS,xS))),inference(cn,[status(thm)],[4881,theory(equality)])).
% cnf(5726,plain,(aScalar0(sdtasdt0(X1,smndt0(X2)))|~aScalar0(X1)|~aScalar0(X2)),inference(csr,[status(thm)],[365,74])).
% cnf(8896,plain,(aScalar0(smndt0(xS))|~aScalar0(xF)|~aScalar0(xD)),inference(spm,[status(thm)],[5726,394,theory(equality)])).
% cnf(8930,plain,(aScalar0(smndt0(xS))|$false|~aScalar0(xD)),inference(rw,[status(thm)],[8896,147,theory(equality)])).
% cnf(8931,plain,(aScalar0(smndt0(xS))|$false|$false),inference(rw,[status(thm)],[8930,143,theory(equality)])).
% cnf(8932,plain,(aScalar0(smndt0(xS))),inference(cn,[status(thm)],[8931,theory(equality)])).
% cnf(32411,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X3,sdtpldt0(X1,X2))|~aScalar0(X4)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(csr,[status(thm)],[678,71])).
% cnf(33614,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)],[680,32411])).
% cnf(33615,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X2,sdtpldt0(X3,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(csr,[status(thm)],[33614,71])).
% cnf(34232,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))|$false|~aScalar0(smndt0(xN))),inference(rw,[status(thm)],[681,4882,theory(equality)])).
% cnf(34233,negated_conjecture,(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),smndt0(xN))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(sdtasdt0(xR,xR))|$false|$false),inference(rw,[status(thm)],[34232,4603,theory(equality)])).
% cnf(34234,negated_conjecture,(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),smndt0(xN))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(sdtasdt0(xR,xR))),inference(cn,[status(thm)],[34233,theory(equality)])).
% cnf(34237,negated_conjecture,(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),smndt0(xN))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(xR)),inference(spm,[status(thm)],[34234,74,theory(equality)])).
% cnf(34242,negated_conjecture,(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),smndt0(xN))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|$false),inference(rw,[status(thm)],[34237,153,theory(equality)])).
% cnf(34243,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)],[34242,theory(equality)])).
% cnf(34248,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)],[34243,33615,theory(equality)])).
% cnf(34263,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))|$false|~aScalar0(smndt0(xN))),inference(rw,[status(thm)],[34248,4882,theory(equality)])).
% cnf(34264,negated_conjecture,(sdtpldt0(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR))),smndt0(xN))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(sdtasdt0(xR,xR))|$false|$false),inference(rw,[status(thm)],[34263,4603,theory(equality)])).
% cnf(34265,negated_conjecture,(sdtpldt0(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR))),smndt0(xN))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(sdtasdt0(xR,xR))),inference(cn,[status(thm)],[34264,theory(equality)])).
% cnf(34281,negated_conjecture,(sdtpldt0(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR))),smndt0(xN))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(xR)),inference(spm,[status(thm)],[34265,74,theory(equality)])).
% cnf(34286,negated_conjecture,(sdtpldt0(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR))),smndt0(xN))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|$false),inference(rw,[status(thm)],[34281,153,theory(equality)])).
% cnf(34287,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)],[34286,theory(equality)])).
% cnf(34300,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)],[34287,84,theory(equality)])).
% cnf(34326,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),smndt0(xN)))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|$false|~aScalar0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)))|~aScalar0(smndt0(xN))),inference(rw,[status(thm)],[34300,4882,theory(equality)])).
% cnf(34327,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),smndt0(xN)))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|$false|~aScalar0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)))|$false),inference(rw,[status(thm)],[34326,4603,theory(equality)])).
% cnf(34328,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),smndt0(xN)))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)))),inference(cn,[status(thm)],[34327,theory(equality)])).
% cnf(34393,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),smndt0(xN)))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(sdtasdt0(xR,xR))|~aScalar0(smndt0(xN))),inference(spm,[status(thm)],[34328,71,theory(equality)])).
% cnf(34406,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),smndt0(xN)))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(sdtasdt0(xR,xR))|$false),inference(rw,[status(thm)],[34393,4603,theory(equality)])).
% cnf(34407,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)],[34406,theory(equality)])).
% cnf(34421,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)],[34407,74,theory(equality)])).
% cnf(34426,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),smndt0(xN)))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|$false),inference(rw,[status(thm)],[34421,153,theory(equality)])).
% cnf(34427,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),smndt0(xN)))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))),inference(cn,[status(thm)],[34426,theory(equality)])).
% cnf(34438,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|~aScalar0(smndt0(xN))|~aScalar0(sdtasdt0(xR,xR))),inference(spm,[status(thm)],[34427,84,theory(equality)])).
% cnf(34461,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|$false|~aScalar0(sdtasdt0(xR,xR))),inference(rw,[status(thm)],[34438,4603,theory(equality)])).
% cnf(34462,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)],[34461,theory(equality)])).
% cnf(34469,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)],[34462,74,theory(equality)])).
% cnf(34474,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|$false),inference(rw,[status(thm)],[34469,153,theory(equality)])).
% cnf(34475,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))),inference(cn,[status(thm)],[34474,theory(equality)])).
% cnf(70839,plain,(aScalar0(sdtasdt0(X1,sdtpldt0(X2,X3)))|~aScalar0(sdtasdt0(X1,X3))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(csr,[status(thm)],[758,74])).
% cnf(70840,plain,(aScalar0(sdtasdt0(X1,sdtpldt0(X2,X3)))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(csr,[status(thm)],[70839,74])).
% cnf(85199,plain,(sdtpldt0(sdtasdt0(xR,X1),smndt0(xN))=sdtasdt0(xR,sdtpldt0(X1,smndt0(xS)))|~aScalar0(X1)|$false),inference(rw,[status(thm)],[800,8932,theory(equality)])).
% cnf(85200,plain,(sdtpldt0(sdtasdt0(xR,X1),smndt0(xN))=sdtasdt0(xR,sdtpldt0(X1,smndt0(xS)))|~aScalar0(X1)),inference(cn,[status(thm)],[85199,theory(equality)])).
% cnf(85219,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)],[166,85200,theory(equality)])).
% cnf(85224,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)],[34475,85200,theory(equality)])).
% cnf(85296,plain,(sdtpldt0(sdtasdt0(xR,sdtpldt0(xR,smndt0(xS))),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)))=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|$false),inference(rw,[status(thm)],[85219,153,theory(equality)])).
% cnf(85297,plain,(sdtpldt0(sdtasdt0(xR,sdtpldt0(xR,smndt0(xS))),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)))=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))),inference(cn,[status(thm)],[85296,theory(equality)])).
% cnf(85306,negated_conjecture,(sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtasdt0(xR,sdtpldt0(xR,smndt0(xS)))))!=sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))|$false),inference(rw,[status(thm)],[85224,153,theory(equality)])).
% cnf(85307,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)],[85306,theory(equality)])).
% cnf(268158,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)],[33615,85297,theory(equality)])).
% cnf(268166,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))))|$false|~aScalar0(smndt0(xN))),inference(rw,[status(thm)],[268158,4882,theory(equality)])).
% cnf(268167,plain,(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtasdt0(xR,sdtpldt0(xR,smndt0(xS)))))|~aScalar0(sdtasdt0(xR,sdtpldt0(xR,smndt0(xS))))|$false|$false),inference(rw,[status(thm)],[268166,4603,theory(equality)])).
% cnf(268168,plain,(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))=sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(smndt0(xN),sdtasdt0(xR,sdtpldt0(xR,smndt0(xS)))))|~aScalar0(sdtasdt0(xR,sdtpldt0(xR,smndt0(xS))))),inference(cn,[status(thm)],[268167,theory(equality)])).
% cnf(268169,plain,(~aScalar0(sdtasdt0(xR,sdtpldt0(xR,smndt0(xS))))),inference(sr,[status(thm)],[268168,85307,theory(equality)])).
% cnf(268190,plain,(~aScalar0(xR)|~aScalar0(smndt0(xS))),inference(spm,[status(thm)],[268169,70840,theory(equality)])).
% cnf(268193,plain,($false|~aScalar0(smndt0(xS))),inference(rw,[status(thm)],[268190,153,theory(equality)])).
% cnf(268194,plain,($false|$false),inference(rw,[status(thm)],[268193,8932,theory(equality)])).
% cnf(268195,plain,($false),inference(cn,[status(thm)],[268194,theory(equality)])).
% cnf(268196,plain,($false),268195,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 2957
% # ...of these trivial : 1120
% # ...subsumed : 95
% # ...remaining for further processing: 1742
% # Other redundant clauses eliminated : 1
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 12
% # Backward-rewritten : 515
% # Generated clauses : 76031
% # ...of the previous two non-trivial : 67961
% # Contextual simplify-reflections : 118
% # Paramodulations : 76007
% # Factorizations : 2
% # Equation resolutions : 22
% # Current number of processed clauses: 1215
% # Positive orientable unit clauses: 966
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 15
% # Non-unit-clauses : 234
% # Current number of unprocessed clauses: 57637
% # ...number of literals in the above : 179557
% # Clause-clause subsumption calls (NU) : 6972
% # Rec. Clause-clause subsumption calls : 3256
% # Unit Clause-clause subsumption calls : 838
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 2462
% # Indexed BW rewrite successes : 195
% # Backwards rewriting index: 1041 leaves, 1.66+/-1.957 terms/leaf
% # Paramod-from index: 661 leaves, 1.70+/-1.956 terms/leaf
% # Paramod-into index: 897 leaves, 1.66+/-1.829 terms/leaf
% # -------------------------------------------------
% # User time : 2.802 s
% # System time : 0.133 s
% # Total time : 2.935 s
% # Maximum resident set size: 0 pages
% PrfWatch: 6.27 CPU 6.39 WC
% FINAL PrfWatch: 6.27 CPU 6.39 WC
% SZS output end Solution for /tmp/SystemOnTPTP23152/RNG062+1.tptp
%
%------------------------------------------------------------------------------