TSTP Solution File: RNG109+4 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : RNG109+4 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art03.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 22:39:12 EST 2010

% Result   : Theorem 1.20s
% Output   : Solution 1.20s
% 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/SystemOnTPTP14033/RNG109+4.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP14033/RNG109+4.tptp
% SZS output start Solution for /tmp/SystemOnTPTP14033/RNG109+4.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p 
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC  time limit is 120s
% TreeLimitedRun: PID is 14129
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time     : 0.024 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(3, axiom,![X1]:![X2]:((aElement0(X1)&aElement0(X2))=>aElement0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(4, axiom,![X1]:![X2]:((aElement0(X1)&aElement0(X2))=>sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),file('/tmp/SRASS.s.p', mAddComm)).
% fof(6, axiom,![X1]:(aElement0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', mAddZero)).
% fof(9, 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]:![X2]:((aElement0(X1)&aElement0(X2))=>(sdtasdt0(X1,X2)=sz00=>(X1=sz00|X2=sz00))),file('/tmp/SRASS.s.p', mCancel)).
% fof(22, axiom,(aElement0(xa)&aElement0(xb)),file('/tmp/SRASS.s.p', m__2091)).
% fof(23, axiom,(~(xa=sz00)|~(xb=sz00)),file('/tmp/SRASS.s.p', m__2110)).
% fof(25, axiom,((((((aSet0(xI)&![X1]:(aElementOf0(X1,xI)=>(![X2]:(aElementOf0(X2,xI)=>aElementOf0(sdtpldt0(X1,X2),xI))&![X2]:(aElement0(X2)=>aElementOf0(sdtasdt0(X2,X1),xI)))))&aIdeal0(xI))&![X1]:(aElementOf0(X1,slsdtgt0(xa))<=>?[X2]:(aElement0(X2)&sdtasdt0(xa,X2)=X1)))&![X1]:(aElementOf0(X1,slsdtgt0(xb))<=>?[X2]:(aElement0(X2)&sdtasdt0(xb,X2)=X1)))&![X1]:(aElementOf0(X1,xI)<=>?[X2]:?[X3]:((aElementOf0(X2,slsdtgt0(xa))&aElementOf0(X3,slsdtgt0(xb)))&sdtpldt0(X2,X3)=X1)))&xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),file('/tmp/SRASS.s.p', m__2174)).
% fof(26, axiom,(((((((?[X1]:(aElement0(X1)&sdtasdt0(xa,X1)=sz00)&aElementOf0(sz00,slsdtgt0(xa)))&?[X1]:(aElement0(X1)&sdtasdt0(xa,X1)=xa))&aElementOf0(xa,slsdtgt0(xa)))&?[X1]:(aElement0(X1)&sdtasdt0(xb,X1)=sz00))&aElementOf0(sz00,slsdtgt0(xb)))&?[X1]:(aElement0(X1)&sdtasdt0(xb,X1)=xb))&aElementOf0(xb,slsdtgt0(xb))),file('/tmp/SRASS.s.p', m__2203)).
% fof(30, axiom,![X1]:(aElement0(X1)=>(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),file('/tmp/SRASS.s.p', mMulUnit)).
% fof(34, axiom,aElement0(sz10),file('/tmp/SRASS.s.p', mSortsC_01)).
% fof(44, conjecture,?[X1]:((![X2]:(aElementOf0(X2,slsdtgt0(xa))<=>?[X3]:(aElement0(X3)&sdtasdt0(xa,X3)=X2))=>(![X2]:(aElementOf0(X2,slsdtgt0(xb))<=>?[X3]:(aElement0(X3)&sdtasdt0(xb,X3)=X2))=>(?[X2]:?[X3]:((aElementOf0(X2,slsdtgt0(xa))&aElementOf0(X3,slsdtgt0(xb)))&sdtpldt0(X2,X3)=X1)|aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))))))&~(X1=sz00)),file('/tmp/SRASS.s.p', m__)).
% fof(45, negated_conjecture,~(?[X1]:((![X2]:(aElementOf0(X2,slsdtgt0(xa))<=>?[X3]:(aElement0(X3)&sdtasdt0(xa,X3)=X2))=>(![X2]:(aElementOf0(X2,slsdtgt0(xb))<=>?[X3]:(aElement0(X3)&sdtasdt0(xb,X3)=X2))=>(?[X2]:?[X3]:((aElementOf0(X2,slsdtgt0(xa))&aElementOf0(X3,slsdtgt0(xb)))&sdtpldt0(X2,X3)=X1)|aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))))))&~(X1=sz00))),inference(assume_negation,[status(cth)],[44])).
% fof(54, plain,![X1]:![X2]:((~(aElement0(X1))|~(aElement0(X2)))|aElement0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(55, plain,![X3]:![X4]:((~(aElement0(X3))|~(aElement0(X4)))|aElement0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[54])).
% cnf(56,plain,(aElement0(sdtasdt0(X1,X2))|~aElement0(X2)|~aElement0(X1)),inference(split_conjunct,[status(thm)],[55])).
% fof(57, plain,![X1]:![X2]:((~(aElement0(X1))|~(aElement0(X2)))|sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),inference(fof_nnf,[status(thm)],[4])).
% fof(58, plain,![X3]:![X4]:((~(aElement0(X3))|~(aElement0(X4)))|sdtpldt0(X3,X4)=sdtpldt0(X4,X3)),inference(variable_rename,[status(thm)],[57])).
% cnf(59,plain,(sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aElement0(X2)|~aElement0(X1)),inference(split_conjunct,[status(thm)],[58])).
% fof(63, plain,![X1]:(~(aElement0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[6])).
% fof(64, plain,![X2]:(~(aElement0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[63])).
% fof(65, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aElement0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aElement0(X2)))),inference(distribute,[status(thm)],[64])).
% cnf(66,plain,(X1=sdtpldt0(sz00,X1)|~aElement0(X1)),inference(split_conjunct,[status(thm)],[65])).
% fof(74, 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)],[9])).
% fof(75, 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)],[74])).
% fof(76, 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)],[75])).
% cnf(78,plain,(sdtasdt0(X3,sdtpldt0(X2,X1))=sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aElement0(X1)|~aElement0(X2)|~aElement0(X3)),inference(split_conjunct,[status(thm)],[76])).
% fof(84, plain,![X1]:![X2]:((~(aElement0(X1))|~(aElement0(X2)))|(~(sdtasdt0(X1,X2)=sz00)|(X1=sz00|X2=sz00))),inference(fof_nnf,[status(thm)],[11])).
% fof(85, plain,![X3]:![X4]:((~(aElement0(X3))|~(aElement0(X4)))|(~(sdtasdt0(X3,X4)=sz00)|(X3=sz00|X4=sz00))),inference(variable_rename,[status(thm)],[84])).
% cnf(86,plain,(X1=sz00|X2=sz00|sdtasdt0(X2,X1)!=sz00|~aElement0(X1)|~aElement0(X2)),inference(split_conjunct,[status(thm)],[85])).
% cnf(170,plain,(aElement0(xb)),inference(split_conjunct,[status(thm)],[22])).
% cnf(171,plain,(aElement0(xa)),inference(split_conjunct,[status(thm)],[22])).
% cnf(172,plain,(xb!=sz00|xa!=sz00),inference(split_conjunct,[status(thm)],[23])).
% fof(216, plain,((((((aSet0(xI)&![X1]:(~(aElementOf0(X1,xI))|(![X2]:(~(aElementOf0(X2,xI))|aElementOf0(sdtpldt0(X1,X2),xI))&![X2]:(~(aElement0(X2))|aElementOf0(sdtasdt0(X2,X1),xI)))))&aIdeal0(xI))&![X1]:((~(aElementOf0(X1,slsdtgt0(xa)))|?[X2]:(aElement0(X2)&sdtasdt0(xa,X2)=X1))&(![X2]:(~(aElement0(X2))|~(sdtasdt0(xa,X2)=X1))|aElementOf0(X1,slsdtgt0(xa)))))&![X1]:((~(aElementOf0(X1,slsdtgt0(xb)))|?[X2]:(aElement0(X2)&sdtasdt0(xb,X2)=X1))&(![X2]:(~(aElement0(X2))|~(sdtasdt0(xb,X2)=X1))|aElementOf0(X1,slsdtgt0(xb)))))&![X1]:((~(aElementOf0(X1,xI))|?[X2]:?[X3]:((aElementOf0(X2,slsdtgt0(xa))&aElementOf0(X3,slsdtgt0(xb)))&sdtpldt0(X2,X3)=X1))&(![X2]:![X3]:((~(aElementOf0(X2,slsdtgt0(xa)))|~(aElementOf0(X3,slsdtgt0(xb))))|~(sdtpldt0(X2,X3)=X1))|aElementOf0(X1,xI))))&xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),inference(fof_nnf,[status(thm)],[25])).
% fof(217, plain,((((((aSet0(xI)&![X4]:(~(aElementOf0(X4,xI))|(![X5]:(~(aElementOf0(X5,xI))|aElementOf0(sdtpldt0(X4,X5),xI))&![X6]:(~(aElement0(X6))|aElementOf0(sdtasdt0(X6,X4),xI)))))&aIdeal0(xI))&![X7]:((~(aElementOf0(X7,slsdtgt0(xa)))|?[X8]:(aElement0(X8)&sdtasdt0(xa,X8)=X7))&(![X9]:(~(aElement0(X9))|~(sdtasdt0(xa,X9)=X7))|aElementOf0(X7,slsdtgt0(xa)))))&![X10]:((~(aElementOf0(X10,slsdtgt0(xb)))|?[X11]:(aElement0(X11)&sdtasdt0(xb,X11)=X10))&(![X12]:(~(aElement0(X12))|~(sdtasdt0(xb,X12)=X10))|aElementOf0(X10,slsdtgt0(xb)))))&![X13]:((~(aElementOf0(X13,xI))|?[X14]:?[X15]:((aElementOf0(X14,slsdtgt0(xa))&aElementOf0(X15,slsdtgt0(xb)))&sdtpldt0(X14,X15)=X13))&(![X16]:![X17]:((~(aElementOf0(X16,slsdtgt0(xa)))|~(aElementOf0(X17,slsdtgt0(xb))))|~(sdtpldt0(X16,X17)=X13))|aElementOf0(X13,xI))))&xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),inference(variable_rename,[status(thm)],[216])).
% fof(218, plain,((((((aSet0(xI)&![X4]:(~(aElementOf0(X4,xI))|(![X5]:(~(aElementOf0(X5,xI))|aElementOf0(sdtpldt0(X4,X5),xI))&![X6]:(~(aElement0(X6))|aElementOf0(sdtasdt0(X6,X4),xI)))))&aIdeal0(xI))&![X7]:((~(aElementOf0(X7,slsdtgt0(xa)))|(aElement0(esk19_1(X7))&sdtasdt0(xa,esk19_1(X7))=X7))&(![X9]:(~(aElement0(X9))|~(sdtasdt0(xa,X9)=X7))|aElementOf0(X7,slsdtgt0(xa)))))&![X10]:((~(aElementOf0(X10,slsdtgt0(xb)))|(aElement0(esk20_1(X10))&sdtasdt0(xb,esk20_1(X10))=X10))&(![X12]:(~(aElement0(X12))|~(sdtasdt0(xb,X12)=X10))|aElementOf0(X10,slsdtgt0(xb)))))&![X13]:((~(aElementOf0(X13,xI))|((aElementOf0(esk21_1(X13),slsdtgt0(xa))&aElementOf0(esk22_1(X13),slsdtgt0(xb)))&sdtpldt0(esk21_1(X13),esk22_1(X13))=X13))&(![X16]:![X17]:((~(aElementOf0(X16,slsdtgt0(xa)))|~(aElementOf0(X17,slsdtgt0(xb))))|~(sdtpldt0(X16,X17)=X13))|aElementOf0(X13,xI))))&xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),inference(skolemize,[status(esa)],[217])).
% fof(219, plain,![X4]:![X5]:![X6]:![X7]:![X9]:![X10]:![X12]:![X13]:![X16]:![X17]:((((((~(aElementOf0(X16,slsdtgt0(xa)))|~(aElementOf0(X17,slsdtgt0(xb))))|~(sdtpldt0(X16,X17)=X13))|aElementOf0(X13,xI))&(~(aElementOf0(X13,xI))|((aElementOf0(esk21_1(X13),slsdtgt0(xa))&aElementOf0(esk22_1(X13),slsdtgt0(xb)))&sdtpldt0(esk21_1(X13),esk22_1(X13))=X13)))&((((~(aElement0(X12))|~(sdtasdt0(xb,X12)=X10))|aElementOf0(X10,slsdtgt0(xb)))&(~(aElementOf0(X10,slsdtgt0(xb)))|(aElement0(esk20_1(X10))&sdtasdt0(xb,esk20_1(X10))=X10)))&((((~(aElement0(X9))|~(sdtasdt0(xa,X9)=X7))|aElementOf0(X7,slsdtgt0(xa)))&(~(aElementOf0(X7,slsdtgt0(xa)))|(aElement0(esk19_1(X7))&sdtasdt0(xa,esk19_1(X7))=X7)))&(((((~(aElement0(X6))|aElementOf0(sdtasdt0(X6,X4),xI))&(~(aElementOf0(X5,xI))|aElementOf0(sdtpldt0(X4,X5),xI)))|~(aElementOf0(X4,xI)))&aSet0(xI))&aIdeal0(xI)))))&xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),inference(shift_quantors,[status(thm)],[218])).
% fof(220, plain,![X4]:![X5]:![X6]:![X7]:![X9]:![X10]:![X12]:![X13]:![X16]:![X17]:((((((~(aElementOf0(X16,slsdtgt0(xa)))|~(aElementOf0(X17,slsdtgt0(xb))))|~(sdtpldt0(X16,X17)=X13))|aElementOf0(X13,xI))&(((aElementOf0(esk21_1(X13),slsdtgt0(xa))|~(aElementOf0(X13,xI)))&(aElementOf0(esk22_1(X13),slsdtgt0(xb))|~(aElementOf0(X13,xI))))&(sdtpldt0(esk21_1(X13),esk22_1(X13))=X13|~(aElementOf0(X13,xI)))))&((((~(aElement0(X12))|~(sdtasdt0(xb,X12)=X10))|aElementOf0(X10,slsdtgt0(xb)))&((aElement0(esk20_1(X10))|~(aElementOf0(X10,slsdtgt0(xb))))&(sdtasdt0(xb,esk20_1(X10))=X10|~(aElementOf0(X10,slsdtgt0(xb))))))&((((~(aElement0(X9))|~(sdtasdt0(xa,X9)=X7))|aElementOf0(X7,slsdtgt0(xa)))&((aElement0(esk19_1(X7))|~(aElementOf0(X7,slsdtgt0(xa))))&(sdtasdt0(xa,esk19_1(X7))=X7|~(aElementOf0(X7,slsdtgt0(xa))))))&(((((~(aElement0(X6))|aElementOf0(sdtasdt0(X6,X4),xI))|~(aElementOf0(X4,xI)))&((~(aElementOf0(X5,xI))|aElementOf0(sdtpldt0(X4,X5),xI))|~(aElementOf0(X4,xI))))&aSet0(xI))&aIdeal0(xI)))))&xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),inference(distribute,[status(thm)],[219])).
% cnf(229,plain,(sdtasdt0(xb,esk20_1(X1))=X1|~aElementOf0(X1,slsdtgt0(xb))),inference(split_conjunct,[status(thm)],[220])).
% cnf(230,plain,(aElement0(esk20_1(X1))|~aElementOf0(X1,slsdtgt0(xb))),inference(split_conjunct,[status(thm)],[220])).
% fof(236, plain,(((((((?[X2]:(aElement0(X2)&sdtasdt0(xa,X2)=sz00)&aElementOf0(sz00,slsdtgt0(xa)))&?[X3]:(aElement0(X3)&sdtasdt0(xa,X3)=xa))&aElementOf0(xa,slsdtgt0(xa)))&?[X4]:(aElement0(X4)&sdtasdt0(xb,X4)=sz00))&aElementOf0(sz00,slsdtgt0(xb)))&?[X5]:(aElement0(X5)&sdtasdt0(xb,X5)=xb))&aElementOf0(xb,slsdtgt0(xb))),inference(variable_rename,[status(thm)],[26])).
% fof(237, plain,((((((((aElement0(esk23_0)&sdtasdt0(xa,esk23_0)=sz00)&aElementOf0(sz00,slsdtgt0(xa)))&(aElement0(esk24_0)&sdtasdt0(xa,esk24_0)=xa))&aElementOf0(xa,slsdtgt0(xa)))&(aElement0(esk25_0)&sdtasdt0(xb,esk25_0)=sz00))&aElementOf0(sz00,slsdtgt0(xb)))&(aElement0(esk26_0)&sdtasdt0(xb,esk26_0)=xb))&aElementOf0(xb,slsdtgt0(xb))),inference(skolemize,[status(esa)],[236])).
% cnf(238,plain,(aElementOf0(xb,slsdtgt0(xb))),inference(split_conjunct,[status(thm)],[237])).
% cnf(244,plain,(aElementOf0(xa,slsdtgt0(xa))),inference(split_conjunct,[status(thm)],[237])).
% cnf(247,plain,(aElementOf0(sz00,slsdtgt0(xa))),inference(split_conjunct,[status(thm)],[237])).
% cnf(248,plain,(sdtasdt0(xa,esk23_0)=sz00),inference(split_conjunct,[status(thm)],[237])).
% cnf(249,plain,(aElement0(esk23_0)),inference(split_conjunct,[status(thm)],[237])).
% fof(278, plain,![X1]:(~(aElement0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[30])).
% fof(279, plain,![X2]:(~(aElement0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[278])).
% fof(280, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aElement0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aElement0(X2)))),inference(distribute,[status(thm)],[279])).
% cnf(282,plain,(sdtasdt0(X1,sz10)=X1|~aElement0(X1)),inference(split_conjunct,[status(thm)],[280])).
% cnf(297,plain,(aElement0(sz10)),inference(split_conjunct,[status(thm)],[34])).
% fof(325, negated_conjecture,![X1]:((![X2]:((~(aElementOf0(X2,slsdtgt0(xa)))|?[X3]:(aElement0(X3)&sdtasdt0(xa,X3)=X2))&(![X3]:(~(aElement0(X3))|~(sdtasdt0(xa,X3)=X2))|aElementOf0(X2,slsdtgt0(xa))))&(![X2]:((~(aElementOf0(X2,slsdtgt0(xb)))|?[X3]:(aElement0(X3)&sdtasdt0(xb,X3)=X2))&(![X3]:(~(aElement0(X3))|~(sdtasdt0(xb,X3)=X2))|aElementOf0(X2,slsdtgt0(xb))))&(![X2]:![X3]:((~(aElementOf0(X2,slsdtgt0(xa)))|~(aElementOf0(X3,slsdtgt0(xb))))|~(sdtpldt0(X2,X3)=X1))&~(aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))))))|X1=sz00),inference(fof_nnf,[status(thm)],[45])).
% fof(326, negated_conjecture,![X4]:((![X5]:((~(aElementOf0(X5,slsdtgt0(xa)))|?[X6]:(aElement0(X6)&sdtasdt0(xa,X6)=X5))&(![X7]:(~(aElement0(X7))|~(sdtasdt0(xa,X7)=X5))|aElementOf0(X5,slsdtgt0(xa))))&(![X8]:((~(aElementOf0(X8,slsdtgt0(xb)))|?[X9]:(aElement0(X9)&sdtasdt0(xb,X9)=X8))&(![X10]:(~(aElement0(X10))|~(sdtasdt0(xb,X10)=X8))|aElementOf0(X8,slsdtgt0(xb))))&(![X11]:![X12]:((~(aElementOf0(X11,slsdtgt0(xa)))|~(aElementOf0(X12,slsdtgt0(xb))))|~(sdtpldt0(X11,X12)=X4))&~(aElementOf0(X4,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))))))|X4=sz00),inference(variable_rename,[status(thm)],[325])).
% fof(327, negated_conjecture,![X4]:((![X5]:((~(aElementOf0(X5,slsdtgt0(xa)))|(aElement0(esk32_2(X4,X5))&sdtasdt0(xa,esk32_2(X4,X5))=X5))&(![X7]:(~(aElement0(X7))|~(sdtasdt0(xa,X7)=X5))|aElementOf0(X5,slsdtgt0(xa))))&(![X8]:((~(aElementOf0(X8,slsdtgt0(xb)))|(aElement0(esk33_2(X4,X8))&sdtasdt0(xb,esk33_2(X4,X8))=X8))&(![X10]:(~(aElement0(X10))|~(sdtasdt0(xb,X10)=X8))|aElementOf0(X8,slsdtgt0(xb))))&(![X11]:![X12]:((~(aElementOf0(X11,slsdtgt0(xa)))|~(aElementOf0(X12,slsdtgt0(xb))))|~(sdtpldt0(X11,X12)=X4))&~(aElementOf0(X4,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))))))|X4=sz00),inference(skolemize,[status(esa)],[326])).
% fof(328, negated_conjecture,![X4]:![X5]:![X7]:![X8]:![X10]:![X11]:![X12]:((((((~(aElementOf0(X11,slsdtgt0(xa)))|~(aElementOf0(X12,slsdtgt0(xb))))|~(sdtpldt0(X11,X12)=X4))&~(aElementOf0(X4,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))))&(((~(aElement0(X10))|~(sdtasdt0(xb,X10)=X8))|aElementOf0(X8,slsdtgt0(xb)))&(~(aElementOf0(X8,slsdtgt0(xb)))|(aElement0(esk33_2(X4,X8))&sdtasdt0(xb,esk33_2(X4,X8))=X8))))&(((~(aElement0(X7))|~(sdtasdt0(xa,X7)=X5))|aElementOf0(X5,slsdtgt0(xa)))&(~(aElementOf0(X5,slsdtgt0(xa)))|(aElement0(esk32_2(X4,X5))&sdtasdt0(xa,esk32_2(X4,X5))=X5))))|X4=sz00),inference(shift_quantors,[status(thm)],[327])).
% fof(329, negated_conjecture,![X4]:![X5]:![X7]:![X8]:![X10]:![X11]:![X12]:((((((~(aElementOf0(X11,slsdtgt0(xa)))|~(aElementOf0(X12,slsdtgt0(xb))))|~(sdtpldt0(X11,X12)=X4))|X4=sz00)&(~(aElementOf0(X4,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))))|X4=sz00))&((((~(aElement0(X10))|~(sdtasdt0(xb,X10)=X8))|aElementOf0(X8,slsdtgt0(xb)))|X4=sz00)&(((aElement0(esk33_2(X4,X8))|~(aElementOf0(X8,slsdtgt0(xb))))|X4=sz00)&((sdtasdt0(xb,esk33_2(X4,X8))=X8|~(aElementOf0(X8,slsdtgt0(xb))))|X4=sz00))))&((((~(aElement0(X7))|~(sdtasdt0(xa,X7)=X5))|aElementOf0(X5,slsdtgt0(xa)))|X4=sz00)&(((aElement0(esk32_2(X4,X5))|~(aElementOf0(X5,slsdtgt0(xa))))|X4=sz00)&((sdtasdt0(xa,esk32_2(X4,X5))=X5|~(aElementOf0(X5,slsdtgt0(xa))))|X4=sz00)))),inference(distribute,[status(thm)],[328])).
% cnf(337,negated_conjecture,(X1=sz00|sdtpldt0(X2,X3)!=X1|~aElementOf0(X3,slsdtgt0(xb))|~aElementOf0(X2,slsdtgt0(xa))),inference(split_conjunct,[status(thm)],[329])).
% cnf(424,plain,(aElement0(X1)|~aElement0(esk20_1(X1))|~aElement0(xb)|~aElementOf0(X1,slsdtgt0(xb))),inference(spm,[status(thm)],[56,229,theory(equality)])).
% cnf(425,plain,(aElement0(X1)|~aElement0(esk20_1(X1))|$false|~aElementOf0(X1,slsdtgt0(xb))),inference(rw,[status(thm)],[424,170,theory(equality)])).
% cnf(426,plain,(aElement0(X1)|~aElement0(esk20_1(X1))|~aElementOf0(X1,slsdtgt0(xb))),inference(cn,[status(thm)],[425,theory(equality)])).
% cnf(586,plain,(sz00=xa|sz00=esk23_0|~aElement0(xa)|~aElement0(esk23_0)),inference(spm,[status(thm)],[86,248,theory(equality)])).
% cnf(614,plain,(sz00=xa|sz00=esk23_0|$false|~aElement0(esk23_0)),inference(rw,[status(thm)],[586,171,theory(equality)])).
% cnf(615,plain,(sz00=xa|sz00=esk23_0|$false|$false),inference(rw,[status(thm)],[614,249,theory(equality)])).
% cnf(616,plain,(sz00=xa|sz00=esk23_0),inference(cn,[status(thm)],[615,theory(equality)])).
% cnf(666,negated_conjecture,(sz00=X1|X2!=X1|~aElementOf0(X2,slsdtgt0(xb))|~aElementOf0(sz00,slsdtgt0(xa))|~aElement0(X2)),inference(spm,[status(thm)],[337,66,theory(equality)])).
% cnf(671,negated_conjecture,(sz00=X1|X2!=X1|~aElementOf0(X2,slsdtgt0(xb))|$false|~aElement0(X2)),inference(rw,[status(thm)],[666,247,theory(equality)])).
% cnf(672,negated_conjecture,(sz00=X1|X2!=X1|~aElementOf0(X2,slsdtgt0(xb))|~aElement0(X2)),inference(cn,[status(thm)],[671,theory(equality)])).
% cnf(673,negated_conjecture,(sz00=X1|~aElementOf0(X1,slsdtgt0(xb))|~aElement0(X1)),inference(er,[status(thm)],[672,theory(equality)])).
% cnf(2668,plain,(aElement0(X1)|~aElementOf0(X1,slsdtgt0(xb))),inference(csr,[status(thm)],[426,230])).
% cnf(3870,negated_conjecture,(sz00=X1|~aElementOf0(X1,slsdtgt0(xb))),inference(csr,[status(thm)],[673,2668])).
% cnf(3877,negated_conjecture,(sz00=xb),inference(spm,[status(thm)],[3870,238,theory(equality)])).
% cnf(3927,plain,(esk23_0=xb|sz00=xa),inference(rw,[status(thm)],[616,3877,theory(equality)])).
% cnf(3928,plain,(esk23_0=xb|xb=xa),inference(rw,[status(thm)],[3927,3877,theory(equality)])).
% cnf(3945,negated_conjecture,(xb=X1|sdtpldt0(X2,X3)!=X1|~aElementOf0(X3,slsdtgt0(xb))|~aElementOf0(X2,slsdtgt0(xa))),inference(rw,[status(thm)],[337,3877,theory(equality)])).
% cnf(3957,plain,(sdtpldt0(xb,X1)=X1|~aElement0(X1)),inference(rw,[status(thm)],[66,3877,theory(equality)])).
% cnf(3967,plain,(sdtasdt0(xa,esk23_0)=xb),inference(rw,[status(thm)],[248,3877,theory(equality)])).
% cnf(3969,plain,(xb!=xa|sz00!=xb),inference(rw,[status(thm)],[172,3877,theory(equality)])).
% cnf(3970,plain,(xb!=xa|$false),inference(rw,[status(thm)],[3969,3877,theory(equality)])).
% cnf(3971,plain,(xb!=xa),inference(cn,[status(thm)],[3970,theory(equality)])).
% cnf(4059,plain,(esk23_0=xb),inference(sr,[status(thm)],[3928,3971,theory(equality)])).
% cnf(4171,plain,(sdtasdt0(xa,xb)=xb),inference(rw,[status(thm)],[3967,4059,theory(equality)])).
% cnf(4189,plain,(sdtpldt0(xb,sdtasdt0(xa,X1))=sdtasdt0(xa,sdtpldt0(xb,X1))|~aElement0(xa)|~aElement0(xb)|~aElement0(X1)),inference(spm,[status(thm)],[78,4171,theory(equality)])).
% cnf(4250,plain,(sdtpldt0(xb,sdtasdt0(xa,X1))=sdtasdt0(xa,sdtpldt0(xb,X1))|$false|~aElement0(xb)|~aElement0(X1)),inference(rw,[status(thm)],[4189,171,theory(equality)])).
% cnf(4251,plain,(sdtpldt0(xb,sdtasdt0(xa,X1))=sdtasdt0(xa,sdtpldt0(xb,X1))|$false|$false|~aElement0(X1)),inference(rw,[status(thm)],[4250,170,theory(equality)])).
% cnf(4252,plain,(sdtpldt0(xb,sdtasdt0(xa,X1))=sdtasdt0(xa,sdtpldt0(xb,X1))|~aElement0(X1)),inference(cn,[status(thm)],[4251,theory(equality)])).
% cnf(5477,plain,(sdtpldt0(xb,xa)=sdtasdt0(xa,sdtpldt0(xb,sz10))|~aElement0(sz10)|~aElement0(xa)),inference(spm,[status(thm)],[4252,282,theory(equality)])).
% cnf(5509,plain,(sdtpldt0(xb,xa)=sdtasdt0(xa,sdtpldt0(xb,sz10))|$false|~aElement0(xa)),inference(rw,[status(thm)],[5477,297,theory(equality)])).
% cnf(5510,plain,(sdtpldt0(xb,xa)=sdtasdt0(xa,sdtpldt0(xb,sz10))|$false|$false),inference(rw,[status(thm)],[5509,171,theory(equality)])).
% cnf(5511,plain,(sdtpldt0(xb,xa)=sdtasdt0(xa,sdtpldt0(xb,sz10))),inference(cn,[status(thm)],[5510,theory(equality)])).
% cnf(5703,plain,(sdtasdt0(xa,sz10)=sdtpldt0(xb,xa)|~aElement0(sz10)),inference(spm,[status(thm)],[5511,3957,theory(equality)])).
% cnf(5750,plain,(sdtasdt0(xa,sz10)=sdtpldt0(xb,xa)|$false),inference(rw,[status(thm)],[5703,297,theory(equality)])).
% cnf(5751,plain,(sdtasdt0(xa,sz10)=sdtpldt0(xb,xa)),inference(cn,[status(thm)],[5750,theory(equality)])).
% cnf(5764,plain,(sdtasdt0(xa,sz10)=xa|~aElement0(xa)),inference(spm,[status(thm)],[3957,5751,theory(equality)])).
% cnf(5797,plain,(sdtasdt0(xa,sz10)=xa|$false),inference(rw,[status(thm)],[5764,171,theory(equality)])).
% cnf(5798,plain,(sdtasdt0(xa,sz10)=xa),inference(cn,[status(thm)],[5797,theory(equality)])).
% cnf(5843,plain,(sdtpldt0(xb,xa)=xa),inference(rw,[status(thm)],[5751,5798,theory(equality)])).
% cnf(5928,plain,(xa=sdtpldt0(xa,xb)|~aElement0(xa)|~aElement0(xb)),inference(spm,[status(thm)],[59,5843,theory(equality)])).
% cnf(5944,plain,(xa=sdtpldt0(xa,xb)|$false|~aElement0(xb)),inference(rw,[status(thm)],[5928,171,theory(equality)])).
% cnf(5945,plain,(xa=sdtpldt0(xa,xb)|$false|$false),inference(rw,[status(thm)],[5944,170,theory(equality)])).
% cnf(5946,plain,(xa=sdtpldt0(xa,xb)),inference(cn,[status(thm)],[5945,theory(equality)])).
% cnf(6188,negated_conjecture,(xb=X1|xa!=X1|~aElementOf0(xb,slsdtgt0(xb))|~aElementOf0(xa,slsdtgt0(xa))),inference(spm,[status(thm)],[3945,5946,theory(equality)])).
% cnf(6211,negated_conjecture,(xb=X1|xa!=X1|$false|~aElementOf0(xa,slsdtgt0(xa))),inference(rw,[status(thm)],[6188,238,theory(equality)])).
% cnf(6212,negated_conjecture,(xb=X1|xa!=X1|$false|$false),inference(rw,[status(thm)],[6211,244,theory(equality)])).
% cnf(6213,negated_conjecture,(xb=X1|xa!=X1),inference(cn,[status(thm)],[6212,theory(equality)])).
% cnf(6218,negated_conjecture,(xb=xa),inference(er,[status(thm)],[6213,theory(equality)])).
% cnf(6219,negated_conjecture,($false),inference(sr,[status(thm)],[6218,3971,theory(equality)])).
% cnf(6220,negated_conjecture,($false),6219,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 730
% # ...of these trivial                : 22
% # ...subsumed                        : 191
% # ...remaining for further processing: 517
% # Other redundant clauses eliminated : 58
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 35
% # Backward-rewritten                 : 76
% # Generated clauses                  : 2451
% # ...of the previous two non-trivial : 2000
% # Contextual simplify-reflections    : 51
% # Paramodulations                    : 2375
% # Factorizations                     : 0
% # Equation resolutions               : 76
% # Current number of processed clauses: 244
% #    Positive orientable unit clauses: 38
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 7
% #    Non-unit-clauses                : 199
% # Current number of unprocessed clauses: 1157
% # ...number of literals in the above : 5372
% # Clause-clause subsumption calls (NU) : 2867
% # Rec. Clause-clause subsumption calls : 2309
% # Unit Clause-clause subsumption calls : 64
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 7
% # Indexed BW rewrite successes       : 7
% # Backwards rewriting index:   248 leaves,   1.29+/-0.956 terms/leaf
% # Paramod-from index:          132 leaves,   1.08+/-0.427 terms/leaf
% # Paramod-into index:          219 leaves,   1.17+/-0.587 terms/leaf
% # -------------------------------------------------
% # User time              : 0.150 s
% # System time            : 0.006 s
% # Total time             : 0.156 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.34 CPU 0.41 WC
% FINAL PrfWatch: 0.34 CPU 0.41 WC
% SZS output end Solution for /tmp/SystemOnTPTP14033/RNG109+4.tptp
% 
%------------------------------------------------------------------------------