TSTP Solution File: RNG106+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : RNG106+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 : art05.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 22:38:19 EST 2010
% Result : Theorem 1.11s
% Output : Solution 1.11s
% 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/SystemOnTPTP6323/RNG106+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP6323/RNG106+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP6323/RNG106+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 6419
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.025 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(8, axiom,![X1]:(aSet0(X1)=>![X2]:(aElementOf0(X2,X1)=>aElement0(X2))),file('/tmp/SRASS.s.p', mEOfElem)).
% fof(10, axiom,![X1]:(aIdeal0(X1)<=>(aSet0(X1)&![X2]:(aElementOf0(X2,X1)=>(![X3]:(aElementOf0(X3,X1)=>aElementOf0(sdtpldt0(X2,X3),X1))&![X3]:(aElement0(X3)=>aElementOf0(sdtasdt0(X3,X2),X1)))))),file('/tmp/SRASS.s.p', mDefIdeal)).
% fof(39, conjecture,(![X1]:![X2]:![X3]:((((?[X4]:(aElement0(X4)&sdtasdt0(xc,X4)=X1)|aElementOf0(X1,slsdtgt0(xc)))&(?[X4]:(aElement0(X4)&sdtasdt0(xc,X4)=X2)|aElementOf0(X2,slsdtgt0(xc))))&aElement0(X3))=>?[X4]:((aElement0(X4)&sdtasdt0(xc,X4)=X1)&?[X5]:(((((((aElement0(X5)&sdtasdt0(xc,X5)=X2)&sdtpldt0(X1,X2)=sdtasdt0(xc,sdtpldt0(X4,X5)))&sdtasdt0(X3,X1)=sdtasdt0(xc,sdtasdt0(X4,X3)))&?[X6]:(aElement0(X6)&sdtasdt0(xc,X6)=sdtpldt0(X1,X2)))&aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc)))&?[X6]:(aElement0(X6)&sdtasdt0(xc,X6)=sdtasdt0(X3,X1)))&aElementOf0(sdtasdt0(X3,X1),slsdtgt0(xc)))))=>((aSet0(slsdtgt0(xc))&![X1]:(aElementOf0(X1,slsdtgt0(xc))<=>?[X2]:(aElement0(X2)&sdtasdt0(xc,X2)=X1)))=>(![X1]:(aElementOf0(X1,slsdtgt0(xc))=>(![X2]:(aElementOf0(X2,slsdtgt0(xc))=>aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc)))&![X2]:(aElement0(X2)=>aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc)))))|aIdeal0(slsdtgt0(xc))))),file('/tmp/SRASS.s.p', m__)).
% fof(40, negated_conjecture,~((![X1]:![X2]:![X3]:((((?[X4]:(aElement0(X4)&sdtasdt0(xc,X4)=X1)|aElementOf0(X1,slsdtgt0(xc)))&(?[X4]:(aElement0(X4)&sdtasdt0(xc,X4)=X2)|aElementOf0(X2,slsdtgt0(xc))))&aElement0(X3))=>?[X4]:((aElement0(X4)&sdtasdt0(xc,X4)=X1)&?[X5]:(((((((aElement0(X5)&sdtasdt0(xc,X5)=X2)&sdtpldt0(X1,X2)=sdtasdt0(xc,sdtpldt0(X4,X5)))&sdtasdt0(X3,X1)=sdtasdt0(xc,sdtasdt0(X4,X3)))&?[X6]:(aElement0(X6)&sdtasdt0(xc,X6)=sdtpldt0(X1,X2)))&aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc)))&?[X6]:(aElement0(X6)&sdtasdt0(xc,X6)=sdtasdt0(X3,X1)))&aElementOf0(sdtasdt0(X3,X1),slsdtgt0(xc)))))=>((aSet0(slsdtgt0(xc))&![X1]:(aElementOf0(X1,slsdtgt0(xc))<=>?[X2]:(aElement0(X2)&sdtasdt0(xc,X2)=X1)))=>(![X1]:(aElementOf0(X1,slsdtgt0(xc))=>(![X2]:(aElementOf0(X2,slsdtgt0(xc))=>aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc)))&![X2]:(aElement0(X2)=>aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc)))))|aIdeal0(slsdtgt0(xc)))))),inference(assume_negation,[status(cth)],[39])).
% fof(68, plain,![X1]:(~(aSet0(X1))|![X2]:(~(aElementOf0(X2,X1))|aElement0(X2))),inference(fof_nnf,[status(thm)],[8])).
% fof(69, plain,![X3]:(~(aSet0(X3))|![X4]:(~(aElementOf0(X4,X3))|aElement0(X4))),inference(variable_rename,[status(thm)],[68])).
% fof(70, plain,![X3]:![X4]:((~(aElementOf0(X4,X3))|aElement0(X4))|~(aSet0(X3))),inference(shift_quantors,[status(thm)],[69])).
% cnf(71,plain,(aElement0(X2)|~aSet0(X1)|~aElementOf0(X2,X1)),inference(split_conjunct,[status(thm)],[70])).
% fof(80, plain,![X1]:((~(aIdeal0(X1))|(aSet0(X1)&![X2]:(~(aElementOf0(X2,X1))|(![X3]:(~(aElementOf0(X3,X1))|aElementOf0(sdtpldt0(X2,X3),X1))&![X3]:(~(aElement0(X3))|aElementOf0(sdtasdt0(X3,X2),X1))))))&((~(aSet0(X1))|?[X2]:(aElementOf0(X2,X1)&(?[X3]:(aElementOf0(X3,X1)&~(aElementOf0(sdtpldt0(X2,X3),X1)))|?[X3]:(aElement0(X3)&~(aElementOf0(sdtasdt0(X3,X2),X1))))))|aIdeal0(X1))),inference(fof_nnf,[status(thm)],[10])).
% fof(81, plain,![X4]:((~(aIdeal0(X4))|(aSet0(X4)&![X5]:(~(aElementOf0(X5,X4))|(![X6]:(~(aElementOf0(X6,X4))|aElementOf0(sdtpldt0(X5,X6),X4))&![X7]:(~(aElement0(X7))|aElementOf0(sdtasdt0(X7,X5),X4))))))&((~(aSet0(X4))|?[X8]:(aElementOf0(X8,X4)&(?[X9]:(aElementOf0(X9,X4)&~(aElementOf0(sdtpldt0(X8,X9),X4)))|?[X10]:(aElement0(X10)&~(aElementOf0(sdtasdt0(X10,X8),X4))))))|aIdeal0(X4))),inference(variable_rename,[status(thm)],[80])).
% fof(82, plain,![X4]:((~(aIdeal0(X4))|(aSet0(X4)&![X5]:(~(aElementOf0(X5,X4))|(![X6]:(~(aElementOf0(X6,X4))|aElementOf0(sdtpldt0(X5,X6),X4))&![X7]:(~(aElement0(X7))|aElementOf0(sdtasdt0(X7,X5),X4))))))&((~(aSet0(X4))|(aElementOf0(esk3_1(X4),X4)&((aElementOf0(esk4_1(X4),X4)&~(aElementOf0(sdtpldt0(esk3_1(X4),esk4_1(X4)),X4)))|(aElement0(esk5_1(X4))&~(aElementOf0(sdtasdt0(esk5_1(X4),esk3_1(X4)),X4))))))|aIdeal0(X4))),inference(skolemize,[status(esa)],[81])).
% fof(83, plain,![X4]:![X5]:![X6]:![X7]:((((((~(aElement0(X7))|aElementOf0(sdtasdt0(X7,X5),X4))&(~(aElementOf0(X6,X4))|aElementOf0(sdtpldt0(X5,X6),X4)))|~(aElementOf0(X5,X4)))&aSet0(X4))|~(aIdeal0(X4)))&((~(aSet0(X4))|(aElementOf0(esk3_1(X4),X4)&((aElementOf0(esk4_1(X4),X4)&~(aElementOf0(sdtpldt0(esk3_1(X4),esk4_1(X4)),X4)))|(aElement0(esk5_1(X4))&~(aElementOf0(sdtasdt0(esk5_1(X4),esk3_1(X4)),X4))))))|aIdeal0(X4))),inference(shift_quantors,[status(thm)],[82])).
% fof(84, plain,![X4]:![X5]:![X6]:![X7]:((((((~(aElement0(X7))|aElementOf0(sdtasdt0(X7,X5),X4))|~(aElementOf0(X5,X4)))|~(aIdeal0(X4)))&(((~(aElementOf0(X6,X4))|aElementOf0(sdtpldt0(X5,X6),X4))|~(aElementOf0(X5,X4)))|~(aIdeal0(X4))))&(aSet0(X4)|~(aIdeal0(X4))))&(((aElementOf0(esk3_1(X4),X4)|~(aSet0(X4)))|aIdeal0(X4))&(((((aElement0(esk5_1(X4))|aElementOf0(esk4_1(X4),X4))|~(aSet0(X4)))|aIdeal0(X4))&(((~(aElementOf0(sdtasdt0(esk5_1(X4),esk3_1(X4)),X4))|aElementOf0(esk4_1(X4),X4))|~(aSet0(X4)))|aIdeal0(X4)))&((((aElement0(esk5_1(X4))|~(aElementOf0(sdtpldt0(esk3_1(X4),esk4_1(X4)),X4)))|~(aSet0(X4)))|aIdeal0(X4))&(((~(aElementOf0(sdtasdt0(esk5_1(X4),esk3_1(X4)),X4))|~(aElementOf0(sdtpldt0(esk3_1(X4),esk4_1(X4)),X4)))|~(aSet0(X4)))|aIdeal0(X4)))))),inference(distribute,[status(thm)],[83])).
% cnf(89,plain,(aIdeal0(X1)|aElementOf0(esk3_1(X1),X1)|~aSet0(X1)),inference(split_conjunct,[status(thm)],[84])).
% fof(238, negated_conjecture,(![X1]:![X2]:![X3]:((((![X4]:(~(aElement0(X4))|~(sdtasdt0(xc,X4)=X1))&~(aElementOf0(X1,slsdtgt0(xc))))|(![X4]:(~(aElement0(X4))|~(sdtasdt0(xc,X4)=X2))&~(aElementOf0(X2,slsdtgt0(xc)))))|~(aElement0(X3)))|?[X4]:((aElement0(X4)&sdtasdt0(xc,X4)=X1)&?[X5]:(((((((aElement0(X5)&sdtasdt0(xc,X5)=X2)&sdtpldt0(X1,X2)=sdtasdt0(xc,sdtpldt0(X4,X5)))&sdtasdt0(X3,X1)=sdtasdt0(xc,sdtasdt0(X4,X3)))&?[X6]:(aElement0(X6)&sdtasdt0(xc,X6)=sdtpldt0(X1,X2)))&aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc)))&?[X6]:(aElement0(X6)&sdtasdt0(xc,X6)=sdtasdt0(X3,X1)))&aElementOf0(sdtasdt0(X3,X1),slsdtgt0(xc)))))&((aSet0(slsdtgt0(xc))&![X1]:((~(aElementOf0(X1,slsdtgt0(xc)))|?[X2]:(aElement0(X2)&sdtasdt0(xc,X2)=X1))&(![X2]:(~(aElement0(X2))|~(sdtasdt0(xc,X2)=X1))|aElementOf0(X1,slsdtgt0(xc)))))&(?[X1]:(aElementOf0(X1,slsdtgt0(xc))&(?[X2]:(aElementOf0(X2,slsdtgt0(xc))&~(aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))))|?[X2]:(aElement0(X2)&~(aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc))))))&~(aIdeal0(slsdtgt0(xc)))))),inference(fof_nnf,[status(thm)],[40])).
% fof(239, negated_conjecture,(![X7]:![X8]:![X9]:((((![X10]:(~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))&~(aElementOf0(X7,slsdtgt0(xc))))|(![X11]:(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8))&~(aElementOf0(X8,slsdtgt0(xc)))))|~(aElement0(X9)))|?[X12]:((aElement0(X12)&sdtasdt0(xc,X12)=X7)&?[X13]:(((((((aElement0(X13)&sdtasdt0(xc,X13)=X8)&sdtpldt0(X7,X8)=sdtasdt0(xc,sdtpldt0(X12,X13)))&sdtasdt0(X9,X7)=sdtasdt0(xc,sdtasdt0(X12,X9)))&?[X14]:(aElement0(X14)&sdtasdt0(xc,X14)=sdtpldt0(X7,X8)))&aElementOf0(sdtpldt0(X7,X8),slsdtgt0(xc)))&?[X15]:(aElement0(X15)&sdtasdt0(xc,X15)=sdtasdt0(X9,X7)))&aElementOf0(sdtasdt0(X9,X7),slsdtgt0(xc)))))&((aSet0(slsdtgt0(xc))&![X16]:((~(aElementOf0(X16,slsdtgt0(xc)))|?[X17]:(aElement0(X17)&sdtasdt0(xc,X17)=X16))&(![X18]:(~(aElement0(X18))|~(sdtasdt0(xc,X18)=X16))|aElementOf0(X16,slsdtgt0(xc)))))&(?[X19]:(aElementOf0(X19,slsdtgt0(xc))&(?[X20]:(aElementOf0(X20,slsdtgt0(xc))&~(aElementOf0(sdtpldt0(X19,X20),slsdtgt0(xc))))|?[X21]:(aElement0(X21)&~(aElementOf0(sdtasdt0(X21,X19),slsdtgt0(xc))))))&~(aIdeal0(slsdtgt0(xc)))))),inference(variable_rename,[status(thm)],[238])).
% fof(240, negated_conjecture,(![X7]:![X8]:![X9]:((((![X10]:(~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))&~(aElementOf0(X7,slsdtgt0(xc))))|(![X11]:(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8))&~(aElementOf0(X8,slsdtgt0(xc)))))|~(aElement0(X9)))|((aElement0(esk21_3(X7,X8,X9))&sdtasdt0(xc,esk21_3(X7,X8,X9))=X7)&(((((((aElement0(esk22_3(X7,X8,X9))&sdtasdt0(xc,esk22_3(X7,X8,X9))=X8)&sdtpldt0(X7,X8)=sdtasdt0(xc,sdtpldt0(esk21_3(X7,X8,X9),esk22_3(X7,X8,X9))))&sdtasdt0(X9,X7)=sdtasdt0(xc,sdtasdt0(esk21_3(X7,X8,X9),X9)))&(aElement0(esk23_3(X7,X8,X9))&sdtasdt0(xc,esk23_3(X7,X8,X9))=sdtpldt0(X7,X8)))&aElementOf0(sdtpldt0(X7,X8),slsdtgt0(xc)))&(aElement0(esk24_3(X7,X8,X9))&sdtasdt0(xc,esk24_3(X7,X8,X9))=sdtasdt0(X9,X7)))&aElementOf0(sdtasdt0(X9,X7),slsdtgt0(xc)))))&((aSet0(slsdtgt0(xc))&![X16]:((~(aElementOf0(X16,slsdtgt0(xc)))|(aElement0(esk25_1(X16))&sdtasdt0(xc,esk25_1(X16))=X16))&(![X18]:(~(aElement0(X18))|~(sdtasdt0(xc,X18)=X16))|aElementOf0(X16,slsdtgt0(xc)))))&((aElementOf0(esk26_0,slsdtgt0(xc))&((aElementOf0(esk27_0,slsdtgt0(xc))&~(aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc))))|(aElement0(esk28_0)&~(aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc))))))&~(aIdeal0(slsdtgt0(xc)))))),inference(skolemize,[status(esa)],[239])).
% fof(241, negated_conjecture,![X7]:![X8]:![X9]:![X10]:![X11]:![X16]:![X18]:((((((~(aElement0(X18))|~(sdtasdt0(xc,X18)=X16))|aElementOf0(X16,slsdtgt0(xc)))&(~(aElementOf0(X16,slsdtgt0(xc)))|(aElement0(esk25_1(X16))&sdtasdt0(xc,esk25_1(X16))=X16)))&aSet0(slsdtgt0(xc)))&((aElementOf0(esk26_0,slsdtgt0(xc))&((aElementOf0(esk27_0,slsdtgt0(xc))&~(aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc))))|(aElement0(esk28_0)&~(aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc))))))&~(aIdeal0(slsdtgt0(xc)))))&(((((~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8))&~(aElementOf0(X8,slsdtgt0(xc))))|((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))&~(aElementOf0(X7,slsdtgt0(xc)))))|~(aElement0(X9)))|((aElement0(esk21_3(X7,X8,X9))&sdtasdt0(xc,esk21_3(X7,X8,X9))=X7)&(((((((aElement0(esk22_3(X7,X8,X9))&sdtasdt0(xc,esk22_3(X7,X8,X9))=X8)&sdtpldt0(X7,X8)=sdtasdt0(xc,sdtpldt0(esk21_3(X7,X8,X9),esk22_3(X7,X8,X9))))&sdtasdt0(X9,X7)=sdtasdt0(xc,sdtasdt0(esk21_3(X7,X8,X9),X9)))&(aElement0(esk23_3(X7,X8,X9))&sdtasdt0(xc,esk23_3(X7,X8,X9))=sdtpldt0(X7,X8)))&aElementOf0(sdtpldt0(X7,X8),slsdtgt0(xc)))&(aElement0(esk24_3(X7,X8,X9))&sdtasdt0(xc,esk24_3(X7,X8,X9))=sdtasdt0(X9,X7)))&aElementOf0(sdtasdt0(X9,X7),slsdtgt0(xc)))))),inference(shift_quantors,[status(thm)],[240])).
% fof(242, negated_conjecture,![X7]:![X8]:![X9]:![X10]:![X11]:![X16]:![X18]:((((((~(aElement0(X18))|~(sdtasdt0(xc,X18)=X16))|aElementOf0(X16,slsdtgt0(xc)))&((aElement0(esk25_1(X16))|~(aElementOf0(X16,slsdtgt0(xc))))&(sdtasdt0(xc,esk25_1(X16))=X16|~(aElementOf0(X16,slsdtgt0(xc))))))&aSet0(slsdtgt0(xc)))&((aElementOf0(esk26_0,slsdtgt0(xc))&(((aElement0(esk28_0)|aElementOf0(esk27_0,slsdtgt0(xc)))&(~(aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc)))|aElementOf0(esk27_0,slsdtgt0(xc))))&((aElement0(esk28_0)|~(aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc))))&(~(aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc)))|~(aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc)))))))&~(aIdeal0(slsdtgt0(xc)))))&(((((aElement0(esk21_3(X7,X8,X9))|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9))))&(sdtasdt0(xc,esk21_3(X7,X8,X9))=X7|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9)))))&((((((((aElement0(esk22_3(X7,X8,X9))|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9))))&(sdtasdt0(xc,esk22_3(X7,X8,X9))=X8|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9)))))&(sdtpldt0(X7,X8)=sdtasdt0(xc,sdtpldt0(esk21_3(X7,X8,X9),esk22_3(X7,X8,X9)))|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9)))))&(sdtasdt0(X9,X7)=sdtasdt0(xc,sdtasdt0(esk21_3(X7,X8,X9),X9))|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9)))))&((aElement0(esk23_3(X7,X8,X9))|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9))))&(sdtasdt0(xc,esk23_3(X7,X8,X9))=sdtpldt0(X7,X8)|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9))))))&(aElementOf0(sdtpldt0(X7,X8),slsdtgt0(xc))|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9)))))&((aElement0(esk24_3(X7,X8,X9))|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9))))&(sdtasdt0(xc,esk24_3(X7,X8,X9))=sdtasdt0(X9,X7)|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9))))))&(aElementOf0(sdtasdt0(X9,X7),slsdtgt0(xc))|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9))))))&(((aElement0(esk21_3(X7,X8,X9))|((~(aElementOf0(X7,slsdtgt0(xc)))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9))))&(sdtasdt0(xc,esk21_3(X7,X8,X9))=X7|((~(aElementOf0(X7,slsdtgt0(xc)))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9)))))&((((((((aElement0(esk22_3(X7,X8,X9))|((~(aElementOf0(X7,slsdtgt0(xc)))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9))))&(sdtasdt0(xc,esk22_3(X7,X8,X9))=X8|((~(aElementOf0(X7,slsdtgt0(xc)))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9)))))&(sdtpldt0(X7,X8)=sdtasdt0(xc,sdtpldt0(esk21_3(X7,X8,X9),esk22_3(X7,X8,X9)))|((~(aElementOf0(X7,slsdtgt0(xc)))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9)))))&(sdtasdt0(X9,X7)=sdtasdt0(xc,sdtasdt0(esk21_3(X7,X8,X9),X9))|((~(aElementOf0(X7,slsdtgt0(xc)))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9)))))&((aElement0(esk23_3(X7,X8,X9))|((~(aElementOf0(X7,slsdtgt0(xc)))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9))))&(sdtasdt0(xc,esk23_3(X7,X8,X9))=sdtpldt0(X7,X8)|((~(aElementOf0(X7,slsdtgt0(xc)))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9))))))&(aElementOf0(sdtpldt0(X7,X8),slsdtgt0(xc))|((~(aElementOf0(X7,slsdtgt0(xc)))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9)))))&((aElement0(esk24_3(X7,X8,X9))|((~(aElementOf0(X7,slsdtgt0(xc)))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9))))&(sdtasdt0(xc,esk24_3(X7,X8,X9))=sdtasdt0(X9,X7)|((~(aElementOf0(X7,slsdtgt0(xc)))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9))))))&(aElementOf0(sdtasdt0(X9,X7),slsdtgt0(xc))|((~(aElementOf0(X7,slsdtgt0(xc)))|(~(aElement0(X11))|~(sdtasdt0(xc,X11)=X8)))|~(aElement0(X9)))))))&((((aElement0(esk21_3(X7,X8,X9))|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9))))&(sdtasdt0(xc,esk21_3(X7,X8,X9))=X7|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9)))))&((((((((aElement0(esk22_3(X7,X8,X9))|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9))))&(sdtasdt0(xc,esk22_3(X7,X8,X9))=X8|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9)))))&(sdtpldt0(X7,X8)=sdtasdt0(xc,sdtpldt0(esk21_3(X7,X8,X9),esk22_3(X7,X8,X9)))|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9)))))&(sdtasdt0(X9,X7)=sdtasdt0(xc,sdtasdt0(esk21_3(X7,X8,X9),X9))|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9)))))&((aElement0(esk23_3(X7,X8,X9))|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9))))&(sdtasdt0(xc,esk23_3(X7,X8,X9))=sdtpldt0(X7,X8)|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9))))))&(aElementOf0(sdtpldt0(X7,X8),slsdtgt0(xc))|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9)))))&((aElement0(esk24_3(X7,X8,X9))|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9))))&(sdtasdt0(xc,esk24_3(X7,X8,X9))=sdtasdt0(X9,X7)|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9))))))&(aElementOf0(sdtasdt0(X9,X7),slsdtgt0(xc))|(((~(aElement0(X10))|~(sdtasdt0(xc,X10)=X7))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9))))))&(((aElement0(esk21_3(X7,X8,X9))|((~(aElementOf0(X7,slsdtgt0(xc)))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9))))&(sdtasdt0(xc,esk21_3(X7,X8,X9))=X7|((~(aElementOf0(X7,slsdtgt0(xc)))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9)))))&((((((((aElement0(esk22_3(X7,X8,X9))|((~(aElementOf0(X7,slsdtgt0(xc)))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9))))&(sdtasdt0(xc,esk22_3(X7,X8,X9))=X8|((~(aElementOf0(X7,slsdtgt0(xc)))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9)))))&(sdtpldt0(X7,X8)=sdtasdt0(xc,sdtpldt0(esk21_3(X7,X8,X9),esk22_3(X7,X8,X9)))|((~(aElementOf0(X7,slsdtgt0(xc)))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9)))))&(sdtasdt0(X9,X7)=sdtasdt0(xc,sdtasdt0(esk21_3(X7,X8,X9),X9))|((~(aElementOf0(X7,slsdtgt0(xc)))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9)))))&((aElement0(esk23_3(X7,X8,X9))|((~(aElementOf0(X7,slsdtgt0(xc)))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9))))&(sdtasdt0(xc,esk23_3(X7,X8,X9))=sdtpldt0(X7,X8)|((~(aElementOf0(X7,slsdtgt0(xc)))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9))))))&(aElementOf0(sdtpldt0(X7,X8),slsdtgt0(xc))|((~(aElementOf0(X7,slsdtgt0(xc)))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9)))))&((aElement0(esk24_3(X7,X8,X9))|((~(aElementOf0(X7,slsdtgt0(xc)))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9))))&(sdtasdt0(xc,esk24_3(X7,X8,X9))=sdtasdt0(X9,X7)|((~(aElementOf0(X7,slsdtgt0(xc)))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9))))))&(aElementOf0(sdtasdt0(X9,X7),slsdtgt0(xc))|((~(aElementOf0(X7,slsdtgt0(xc)))|~(aElementOf0(X8,slsdtgt0(xc))))|~(aElement0(X9))))))))),inference(distribute,[status(thm)],[241])).
% cnf(243,negated_conjecture,(aElementOf0(sdtasdt0(X1,X3),slsdtgt0(xc))|~aElement0(X1)|~aElementOf0(X2,slsdtgt0(xc))|~aElementOf0(X3,slsdtgt0(xc))),inference(split_conjunct,[status(thm)],[242])).
% cnf(246,negated_conjecture,(aElementOf0(sdtpldt0(X3,X2),slsdtgt0(xc))|~aElement0(X1)|~aElementOf0(X2,slsdtgt0(xc))|~aElementOf0(X3,slsdtgt0(xc))),inference(split_conjunct,[status(thm)],[242])).
% cnf(291,negated_conjecture,(~aIdeal0(slsdtgt0(xc))),inference(split_conjunct,[status(thm)],[242])).
% cnf(292,negated_conjecture,(~aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc))|~aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc))),inference(split_conjunct,[status(thm)],[242])).
% cnf(293,negated_conjecture,(aElement0(esk28_0)|~aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc))),inference(split_conjunct,[status(thm)],[242])).
% cnf(294,negated_conjecture,(aElementOf0(esk27_0,slsdtgt0(xc))|~aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc))),inference(split_conjunct,[status(thm)],[242])).
% cnf(295,negated_conjecture,(aElementOf0(esk27_0,slsdtgt0(xc))|aElement0(esk28_0)),inference(split_conjunct,[status(thm)],[242])).
% cnf(296,negated_conjecture,(aElementOf0(esk26_0,slsdtgt0(xc))),inference(split_conjunct,[status(thm)],[242])).
% cnf(297,negated_conjecture,(aSet0(slsdtgt0(xc))),inference(split_conjunct,[status(thm)],[242])).
% cnf(509,negated_conjecture,(aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))|aIdeal0(slsdtgt0(xc))|~aElementOf0(X2,slsdtgt0(xc))|~aElement0(X1)|~aSet0(slsdtgt0(xc))),inference(spm,[status(thm)],[243,89,theory(equality)])).
% cnf(515,negated_conjecture,(aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))|aIdeal0(slsdtgt0(xc))|~aElementOf0(X2,slsdtgt0(xc))|~aElement0(X1)|$false),inference(rw,[status(thm)],[509,297,theory(equality)])).
% cnf(516,negated_conjecture,(aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))|aIdeal0(slsdtgt0(xc))|~aElementOf0(X2,slsdtgt0(xc))|~aElement0(X1)),inference(cn,[status(thm)],[515,theory(equality)])).
% cnf(517,negated_conjecture,(aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))|~aElementOf0(X2,slsdtgt0(xc))|~aElement0(X1)),inference(sr,[status(thm)],[516,291,theory(equality)])).
% cnf(2299,negated_conjecture,(aElementOf0(esk27_0,slsdtgt0(xc))|~aElementOf0(esk26_0,slsdtgt0(xc))|~aElement0(esk28_0)),inference(spm,[status(thm)],[294,517,theory(equality)])).
% cnf(2323,negated_conjecture,(aElementOf0(esk27_0,slsdtgt0(xc))|$false|~aElement0(esk28_0)),inference(rw,[status(thm)],[2299,296,theory(equality)])).
% cnf(2324,negated_conjecture,(aElementOf0(esk27_0,slsdtgt0(xc))|~aElement0(esk28_0)),inference(cn,[status(thm)],[2323,theory(equality)])).
% cnf(2343,negated_conjecture,(aElementOf0(esk27_0,slsdtgt0(xc))),inference(csr,[status(thm)],[2324,295])).
% cnf(2344,negated_conjecture,(aElement0(esk27_0)|~aSet0(slsdtgt0(xc))),inference(spm,[status(thm)],[71,2343,theory(equality)])).
% cnf(2347,negated_conjecture,(aElement0(esk27_0)|$false),inference(rw,[status(thm)],[2344,297,theory(equality)])).
% cnf(2348,negated_conjecture,(aElement0(esk27_0)),inference(cn,[status(thm)],[2347,theory(equality)])).
% cnf(2349,negated_conjecture,(aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))|~aElementOf0(X1,slsdtgt0(xc))|~aElementOf0(X2,slsdtgt0(xc))),inference(spm,[status(thm)],[246,2348,theory(equality)])).
% cnf(3372,negated_conjecture,(aElement0(esk28_0)|~aElementOf0(esk26_0,slsdtgt0(xc))|~aElementOf0(esk27_0,slsdtgt0(xc))),inference(spm,[status(thm)],[293,2349,theory(equality)])).
% cnf(3373,negated_conjecture,(~aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc))|~aElementOf0(esk26_0,slsdtgt0(xc))|~aElementOf0(esk27_0,slsdtgt0(xc))),inference(spm,[status(thm)],[292,2349,theory(equality)])).
% cnf(3396,negated_conjecture,(aElement0(esk28_0)|$false|~aElementOf0(esk27_0,slsdtgt0(xc))),inference(rw,[status(thm)],[3372,296,theory(equality)])).
% cnf(3397,negated_conjecture,(aElement0(esk28_0)|$false|$false),inference(rw,[status(thm)],[3396,2343,theory(equality)])).
% cnf(3398,negated_conjecture,(aElement0(esk28_0)),inference(cn,[status(thm)],[3397,theory(equality)])).
% cnf(3399,negated_conjecture,(~aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc))|$false|~aElementOf0(esk27_0,slsdtgt0(xc))),inference(rw,[status(thm)],[3373,296,theory(equality)])).
% cnf(3400,negated_conjecture,(~aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc))|$false|$false),inference(rw,[status(thm)],[3399,2343,theory(equality)])).
% cnf(3401,negated_conjecture,(~aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc))),inference(cn,[status(thm)],[3400,theory(equality)])).
% cnf(3430,negated_conjecture,(~aElementOf0(esk26_0,slsdtgt0(xc))|~aElement0(esk28_0)),inference(spm,[status(thm)],[3401,517,theory(equality)])).
% cnf(3440,negated_conjecture,($false|~aElement0(esk28_0)),inference(rw,[status(thm)],[3430,296,theory(equality)])).
% cnf(3441,negated_conjecture,($false|$false),inference(rw,[status(thm)],[3440,3398,theory(equality)])).
% cnf(3442,negated_conjecture,($false),inference(cn,[status(thm)],[3441,theory(equality)])).
% cnf(3443,negated_conjecture,($false),3442,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 487
% # ...of these trivial : 6
% # ...subsumed : 104
% # ...remaining for further processing: 377
% # Other redundant clauses eliminated : 198
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 8
% # Backward-rewritten : 6
% # Generated clauses : 1623
% # ...of the previous two non-trivial : 1292
% # Contextual simplify-reflections : 45
% # Paramodulations : 1377
% # Factorizations : 0
% # Equation resolutions : 246
% # Current number of processed clauses: 216
% # Positive orientable unit clauses: 15
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 6
% # Non-unit-clauses : 195
% # Current number of unprocessed clauses: 1017
% # ...number of literals in the above : 5858
% # Clause-clause subsumption calls (NU) : 2173
% # Rec. Clause-clause subsumption calls : 993
% # Unit Clause-clause subsumption calls : 101
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 5
% # Indexed BW rewrite successes : 5
% # Backwards rewriting index: 207 leaves, 1.31+/-1.105 terms/leaf
% # Paramod-from index: 102 leaves, 1.07+/-0.253 terms/leaf
% # Paramod-into index: 186 leaves, 1.18+/-0.564 terms/leaf
% # -------------------------------------------------
% # User time : 0.113 s
% # System time : 0.010 s
% # Total time : 0.123 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.26 CPU 0.35 WC
% FINAL PrfWatch: 0.26 CPU 0.35 WC
% SZS output end Solution for /tmp/SystemOnTPTP6323/RNG106+2.tptp
%
%------------------------------------------------------------------------------