TSTP Solution File: RNG092+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : RNG092+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 : art06.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 22:30:28 EST 2010
% Result : Theorem 1.10s
% Output : Solution 1.10s
% 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/SystemOnTPTP32083/RNG092+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP32083/RNG092+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP32083/RNG092+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 32179
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.023 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(11, 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(26, conjecture,(![X1]:![X2]:![X3]:((((?[X4]:?[X5]:((aElementOf0(X4,xI)&aElementOf0(X5,xJ))&sdtpldt0(X4,X5)=X1)|aElementOf0(X1,sdtpldt1(xI,xJ)))&(?[X4]:?[X5]:((aElementOf0(X4,xI)&aElementOf0(X5,xJ))&sdtpldt0(X4,X5)=X2)|aElementOf0(X2,sdtpldt1(xI,xJ))))&aElement0(X3))=>?[X4]:?[X5]:(((aElementOf0(X4,xI)&aElementOf0(X5,xJ))&X1=sdtpldt0(X4,X5))&?[X6]:?[X7]:(((((((((((aElementOf0(X6,xI)&aElementOf0(X7,xJ))&X2=sdtpldt0(X6,X7))&aElementOf0(sdtpldt0(X4,X6),xI))&aElementOf0(sdtpldt0(X5,X7),xJ))&aElementOf0(sdtasdt0(X3,X4),xI))&aElementOf0(sdtasdt0(X3,X5),xJ))&sdtpldt0(X1,X2)=sdtpldt0(sdtpldt0(X4,X6),sdtpldt0(X5,X7)))&?[X8]:?[X9]:((aElementOf0(X8,xI)&aElementOf0(X9,xJ))&sdtpldt0(X8,X9)=sdtpldt0(X1,X2)))&aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ)))&?[X8]:?[X9]:((aElementOf0(X8,xI)&aElementOf0(X9,xJ))&sdtpldt0(X8,X9)=sdtasdt0(X3,X1)))&aElementOf0(sdtasdt0(X3,X1),sdtpldt1(xI,xJ)))))=>((aSet0(sdtpldt1(xI,xJ))&![X1]:(aElementOf0(X1,sdtpldt1(xI,xJ))<=>?[X2]:?[X3]:((aElementOf0(X2,xI)&aElementOf0(X3,xJ))&sdtpldt0(X2,X3)=X1)))=>(![X1]:(aElementOf0(X1,sdtpldt1(xI,xJ))=>(![X2]:(aElementOf0(X2,sdtpldt1(xI,xJ))=>aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ)))&![X2]:(aElement0(X2)=>aElementOf0(sdtasdt0(X2,X1),sdtpldt1(xI,xJ)))))|aIdeal0(sdtpldt1(xI,xJ))))),file('/tmp/SRASS.s.p', m__)).
% fof(27, negated_conjecture,~((![X1]:![X2]:![X3]:((((?[X4]:?[X5]:((aElementOf0(X4,xI)&aElementOf0(X5,xJ))&sdtpldt0(X4,X5)=X1)|aElementOf0(X1,sdtpldt1(xI,xJ)))&(?[X4]:?[X5]:((aElementOf0(X4,xI)&aElementOf0(X5,xJ))&sdtpldt0(X4,X5)=X2)|aElementOf0(X2,sdtpldt1(xI,xJ))))&aElement0(X3))=>?[X4]:?[X5]:(((aElementOf0(X4,xI)&aElementOf0(X5,xJ))&X1=sdtpldt0(X4,X5))&?[X6]:?[X7]:(((((((((((aElementOf0(X6,xI)&aElementOf0(X7,xJ))&X2=sdtpldt0(X6,X7))&aElementOf0(sdtpldt0(X4,X6),xI))&aElementOf0(sdtpldt0(X5,X7),xJ))&aElementOf0(sdtasdt0(X3,X4),xI))&aElementOf0(sdtasdt0(X3,X5),xJ))&sdtpldt0(X1,X2)=sdtpldt0(sdtpldt0(X4,X6),sdtpldt0(X5,X7)))&?[X8]:?[X9]:((aElementOf0(X8,xI)&aElementOf0(X9,xJ))&sdtpldt0(X8,X9)=sdtpldt0(X1,X2)))&aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ)))&?[X8]:?[X9]:((aElementOf0(X8,xI)&aElementOf0(X9,xJ))&sdtpldt0(X8,X9)=sdtasdt0(X3,X1)))&aElementOf0(sdtasdt0(X3,X1),sdtpldt1(xI,xJ)))))=>((aSet0(sdtpldt1(xI,xJ))&![X1]:(aElementOf0(X1,sdtpldt1(xI,xJ))<=>?[X2]:?[X3]:((aElementOf0(X2,xI)&aElementOf0(X3,xJ))&sdtpldt0(X2,X3)=X1)))=>(![X1]:(aElementOf0(X1,sdtpldt1(xI,xJ))=>(![X2]:(aElementOf0(X2,sdtpldt1(xI,xJ))=>aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ)))&![X2]:(aElement0(X2)=>aElementOf0(sdtasdt0(X2,X1),sdtpldt1(xI,xJ)))))|aIdeal0(sdtpldt1(xI,xJ)))))),inference(assume_negation,[status(cth)],[26])).
% fof(53, plain,![X1]:(~(aSet0(X1))|![X2]:(~(aElementOf0(X2,X1))|aElement0(X2))),inference(fof_nnf,[status(thm)],[8])).
% fof(54, plain,![X3]:(~(aSet0(X3))|![X4]:(~(aElementOf0(X4,X3))|aElement0(X4))),inference(variable_rename,[status(thm)],[53])).
% fof(55, plain,![X3]:![X4]:((~(aElementOf0(X4,X3))|aElement0(X4))|~(aSet0(X3))),inference(shift_quantors,[status(thm)],[54])).
% cnf(56,plain,(aElement0(X2)|~aSet0(X1)|~aElementOf0(X2,X1)),inference(split_conjunct,[status(thm)],[55])).
% fof(79, 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)],[11])).
% fof(80, 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)],[79])).
% 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))|(aElementOf0(esk8_1(X4),X4)&((aElementOf0(esk9_1(X4),X4)&~(aElementOf0(sdtpldt0(esk8_1(X4),esk9_1(X4)),X4)))|(aElement0(esk10_1(X4))&~(aElementOf0(sdtasdt0(esk10_1(X4),esk8_1(X4)),X4))))))|aIdeal0(X4))),inference(skolemize,[status(esa)],[80])).
% fof(82, 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(esk8_1(X4),X4)&((aElementOf0(esk9_1(X4),X4)&~(aElementOf0(sdtpldt0(esk8_1(X4),esk9_1(X4)),X4)))|(aElement0(esk10_1(X4))&~(aElementOf0(sdtasdt0(esk10_1(X4),esk8_1(X4)),X4))))))|aIdeal0(X4))),inference(shift_quantors,[status(thm)],[81])).
% fof(83, 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(esk8_1(X4),X4)|~(aSet0(X4)))|aIdeal0(X4))&(((((aElement0(esk10_1(X4))|aElementOf0(esk9_1(X4),X4))|~(aSet0(X4)))|aIdeal0(X4))&(((~(aElementOf0(sdtasdt0(esk10_1(X4),esk8_1(X4)),X4))|aElementOf0(esk9_1(X4),X4))|~(aSet0(X4)))|aIdeal0(X4)))&((((aElement0(esk10_1(X4))|~(aElementOf0(sdtpldt0(esk8_1(X4),esk9_1(X4)),X4)))|~(aSet0(X4)))|aIdeal0(X4))&(((~(aElementOf0(sdtasdt0(esk10_1(X4),esk8_1(X4)),X4))|~(aElementOf0(sdtpldt0(esk8_1(X4),esk9_1(X4)),X4)))|~(aSet0(X4)))|aIdeal0(X4)))))),inference(distribute,[status(thm)],[82])).
% cnf(88,plain,(aIdeal0(X1)|aElementOf0(esk8_1(X1),X1)|~aSet0(X1)),inference(split_conjunct,[status(thm)],[83])).
% fof(154, negated_conjecture,(![X1]:![X2]:![X3]:((((![X4]:![X5]:((~(aElementOf0(X4,xI))|~(aElementOf0(X5,xJ)))|~(sdtpldt0(X4,X5)=X1))&~(aElementOf0(X1,sdtpldt1(xI,xJ))))|(![X4]:![X5]:((~(aElementOf0(X4,xI))|~(aElementOf0(X5,xJ)))|~(sdtpldt0(X4,X5)=X2))&~(aElementOf0(X2,sdtpldt1(xI,xJ)))))|~(aElement0(X3)))|?[X4]:?[X5]:(((aElementOf0(X4,xI)&aElementOf0(X5,xJ))&X1=sdtpldt0(X4,X5))&?[X6]:?[X7]:(((((((((((aElementOf0(X6,xI)&aElementOf0(X7,xJ))&X2=sdtpldt0(X6,X7))&aElementOf0(sdtpldt0(X4,X6),xI))&aElementOf0(sdtpldt0(X5,X7),xJ))&aElementOf0(sdtasdt0(X3,X4),xI))&aElementOf0(sdtasdt0(X3,X5),xJ))&sdtpldt0(X1,X2)=sdtpldt0(sdtpldt0(X4,X6),sdtpldt0(X5,X7)))&?[X8]:?[X9]:((aElementOf0(X8,xI)&aElementOf0(X9,xJ))&sdtpldt0(X8,X9)=sdtpldt0(X1,X2)))&aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ)))&?[X8]:?[X9]:((aElementOf0(X8,xI)&aElementOf0(X9,xJ))&sdtpldt0(X8,X9)=sdtasdt0(X3,X1)))&aElementOf0(sdtasdt0(X3,X1),sdtpldt1(xI,xJ)))))&((aSet0(sdtpldt1(xI,xJ))&![X1]:((~(aElementOf0(X1,sdtpldt1(xI,xJ)))|?[X2]:?[X3]:((aElementOf0(X2,xI)&aElementOf0(X3,xJ))&sdtpldt0(X2,X3)=X1))&(![X2]:![X3]:((~(aElementOf0(X2,xI))|~(aElementOf0(X3,xJ)))|~(sdtpldt0(X2,X3)=X1))|aElementOf0(X1,sdtpldt1(xI,xJ)))))&(?[X1]:(aElementOf0(X1,sdtpldt1(xI,xJ))&(?[X2]:(aElementOf0(X2,sdtpldt1(xI,xJ))&~(aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))))|?[X2]:(aElement0(X2)&~(aElementOf0(sdtasdt0(X2,X1),sdtpldt1(xI,xJ))))))&~(aIdeal0(sdtpldt1(xI,xJ)))))),inference(fof_nnf,[status(thm)],[27])).
% fof(155, negated_conjecture,(![X10]:![X11]:![X12]:((((![X13]:![X14]:((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))&~(aElementOf0(X10,sdtpldt1(xI,xJ))))|(![X15]:![X16]:((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11))&~(aElementOf0(X11,sdtpldt1(xI,xJ)))))|~(aElement0(X12)))|?[X17]:?[X18]:(((aElementOf0(X17,xI)&aElementOf0(X18,xJ))&X10=sdtpldt0(X17,X18))&?[X19]:?[X20]:(((((((((((aElementOf0(X19,xI)&aElementOf0(X20,xJ))&X11=sdtpldt0(X19,X20))&aElementOf0(sdtpldt0(X17,X19),xI))&aElementOf0(sdtpldt0(X18,X20),xJ))&aElementOf0(sdtasdt0(X12,X17),xI))&aElementOf0(sdtasdt0(X12,X18),xJ))&sdtpldt0(X10,X11)=sdtpldt0(sdtpldt0(X17,X19),sdtpldt0(X18,X20)))&?[X21]:?[X22]:((aElementOf0(X21,xI)&aElementOf0(X22,xJ))&sdtpldt0(X21,X22)=sdtpldt0(X10,X11)))&aElementOf0(sdtpldt0(X10,X11),sdtpldt1(xI,xJ)))&?[X23]:?[X24]:((aElementOf0(X23,xI)&aElementOf0(X24,xJ))&sdtpldt0(X23,X24)=sdtasdt0(X12,X10)))&aElementOf0(sdtasdt0(X12,X10),sdtpldt1(xI,xJ)))))&((aSet0(sdtpldt1(xI,xJ))&![X25]:((~(aElementOf0(X25,sdtpldt1(xI,xJ)))|?[X26]:?[X27]:((aElementOf0(X26,xI)&aElementOf0(X27,xJ))&sdtpldt0(X26,X27)=X25))&(![X28]:![X29]:((~(aElementOf0(X28,xI))|~(aElementOf0(X29,xJ)))|~(sdtpldt0(X28,X29)=X25))|aElementOf0(X25,sdtpldt1(xI,xJ)))))&(?[X30]:(aElementOf0(X30,sdtpldt1(xI,xJ))&(?[X31]:(aElementOf0(X31,sdtpldt1(xI,xJ))&~(aElementOf0(sdtpldt0(X30,X31),sdtpldt1(xI,xJ))))|?[X32]:(aElement0(X32)&~(aElementOf0(sdtasdt0(X32,X30),sdtpldt1(xI,xJ))))))&~(aIdeal0(sdtpldt1(xI,xJ)))))),inference(variable_rename,[status(thm)],[154])).
% fof(156, negated_conjecture,(![X10]:![X11]:![X12]:((((![X13]:![X14]:((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))&~(aElementOf0(X10,sdtpldt1(xI,xJ))))|(![X15]:![X16]:((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11))&~(aElementOf0(X11,sdtpldt1(xI,xJ)))))|~(aElement0(X12)))|(((aElementOf0(esk12_3(X10,X11,X12),xI)&aElementOf0(esk13_3(X10,X11,X12),xJ))&X10=sdtpldt0(esk12_3(X10,X11,X12),esk13_3(X10,X11,X12)))&(((((((((((aElementOf0(esk14_3(X10,X11,X12),xI)&aElementOf0(esk15_3(X10,X11,X12),xJ))&X11=sdtpldt0(esk14_3(X10,X11,X12),esk15_3(X10,X11,X12)))&aElementOf0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),xI))&aElementOf0(sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)),xJ))&aElementOf0(sdtasdt0(X12,esk12_3(X10,X11,X12)),xI))&aElementOf0(sdtasdt0(X12,esk13_3(X10,X11,X12)),xJ))&sdtpldt0(X10,X11)=sdtpldt0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12))))&((aElementOf0(esk16_3(X10,X11,X12),xI)&aElementOf0(esk17_3(X10,X11,X12),xJ))&sdtpldt0(esk16_3(X10,X11,X12),esk17_3(X10,X11,X12))=sdtpldt0(X10,X11)))&aElementOf0(sdtpldt0(X10,X11),sdtpldt1(xI,xJ)))&((aElementOf0(esk18_3(X10,X11,X12),xI)&aElementOf0(esk19_3(X10,X11,X12),xJ))&sdtpldt0(esk18_3(X10,X11,X12),esk19_3(X10,X11,X12))=sdtasdt0(X12,X10)))&aElementOf0(sdtasdt0(X12,X10),sdtpldt1(xI,xJ)))))&((aSet0(sdtpldt1(xI,xJ))&![X25]:((~(aElementOf0(X25,sdtpldt1(xI,xJ)))|((aElementOf0(esk20_1(X25),xI)&aElementOf0(esk21_1(X25),xJ))&sdtpldt0(esk20_1(X25),esk21_1(X25))=X25))&(![X28]:![X29]:((~(aElementOf0(X28,xI))|~(aElementOf0(X29,xJ)))|~(sdtpldt0(X28,X29)=X25))|aElementOf0(X25,sdtpldt1(xI,xJ)))))&((aElementOf0(esk22_0,sdtpldt1(xI,xJ))&((aElementOf0(esk23_0,sdtpldt1(xI,xJ))&~(aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ))))|(aElement0(esk24_0)&~(aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ))))))&~(aIdeal0(sdtpldt1(xI,xJ)))))),inference(skolemize,[status(esa)],[155])).
% fof(157, negated_conjecture,![X10]:![X11]:![X12]:![X13]:![X14]:![X15]:![X16]:![X25]:![X28]:![X29]:(((((((~(aElementOf0(X28,xI))|~(aElementOf0(X29,xJ)))|~(sdtpldt0(X28,X29)=X25))|aElementOf0(X25,sdtpldt1(xI,xJ)))&(~(aElementOf0(X25,sdtpldt1(xI,xJ)))|((aElementOf0(esk20_1(X25),xI)&aElementOf0(esk21_1(X25),xJ))&sdtpldt0(esk20_1(X25),esk21_1(X25))=X25)))&aSet0(sdtpldt1(xI,xJ)))&((aElementOf0(esk22_0,sdtpldt1(xI,xJ))&((aElementOf0(esk23_0,sdtpldt1(xI,xJ))&~(aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ))))|(aElement0(esk24_0)&~(aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ))))))&~(aIdeal0(sdtpldt1(xI,xJ)))))&((((((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11))&~(aElementOf0(X11,sdtpldt1(xI,xJ))))|(((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))&~(aElementOf0(X10,sdtpldt1(xI,xJ)))))|~(aElement0(X12)))|(((aElementOf0(esk12_3(X10,X11,X12),xI)&aElementOf0(esk13_3(X10,X11,X12),xJ))&X10=sdtpldt0(esk12_3(X10,X11,X12),esk13_3(X10,X11,X12)))&(((((((((((aElementOf0(esk14_3(X10,X11,X12),xI)&aElementOf0(esk15_3(X10,X11,X12),xJ))&X11=sdtpldt0(esk14_3(X10,X11,X12),esk15_3(X10,X11,X12)))&aElementOf0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),xI))&aElementOf0(sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)),xJ))&aElementOf0(sdtasdt0(X12,esk12_3(X10,X11,X12)),xI))&aElementOf0(sdtasdt0(X12,esk13_3(X10,X11,X12)),xJ))&sdtpldt0(X10,X11)=sdtpldt0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12))))&((aElementOf0(esk16_3(X10,X11,X12),xI)&aElementOf0(esk17_3(X10,X11,X12),xJ))&sdtpldt0(esk16_3(X10,X11,X12),esk17_3(X10,X11,X12))=sdtpldt0(X10,X11)))&aElementOf0(sdtpldt0(X10,X11),sdtpldt1(xI,xJ)))&((aElementOf0(esk18_3(X10,X11,X12),xI)&aElementOf0(esk19_3(X10,X11,X12),xJ))&sdtpldt0(esk18_3(X10,X11,X12),esk19_3(X10,X11,X12))=sdtasdt0(X12,X10)))&aElementOf0(sdtasdt0(X12,X10),sdtpldt1(xI,xJ)))))),inference(shift_quantors,[status(thm)],[156])).
% fof(158, negated_conjecture,![X10]:![X11]:![X12]:![X13]:![X14]:![X15]:![X16]:![X25]:![X28]:![X29]:(((((((~(aElementOf0(X28,xI))|~(aElementOf0(X29,xJ)))|~(sdtpldt0(X28,X29)=X25))|aElementOf0(X25,sdtpldt1(xI,xJ)))&(((aElementOf0(esk20_1(X25),xI)|~(aElementOf0(X25,sdtpldt1(xI,xJ))))&(aElementOf0(esk21_1(X25),xJ)|~(aElementOf0(X25,sdtpldt1(xI,xJ)))))&(sdtpldt0(esk20_1(X25),esk21_1(X25))=X25|~(aElementOf0(X25,sdtpldt1(xI,xJ))))))&aSet0(sdtpldt1(xI,xJ)))&((aElementOf0(esk22_0,sdtpldt1(xI,xJ))&(((aElement0(esk24_0)|aElementOf0(esk23_0,sdtpldt1(xI,xJ)))&(~(aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ)))|aElementOf0(esk23_0,sdtpldt1(xI,xJ))))&((aElement0(esk24_0)|~(aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ))))&(~(aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ)))|~(aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ)))))))&~(aIdeal0(sdtpldt1(xI,xJ)))))&((((((aElementOf0(esk12_3(X10,X11,X12),xI)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12))))&(aElementOf0(esk13_3(X10,X11,X12),xJ)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&(X10=sdtpldt0(esk12_3(X10,X11,X12),esk13_3(X10,X11,X12))|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&((((((((((((aElementOf0(esk14_3(X10,X11,X12),xI)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12))))&(aElementOf0(esk15_3(X10,X11,X12),xJ)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&(X11=sdtpldt0(esk14_3(X10,X11,X12),esk15_3(X10,X11,X12))|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&(aElementOf0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),xI)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&(aElementOf0(sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)),xJ)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&(aElementOf0(sdtasdt0(X12,esk12_3(X10,X11,X12)),xI)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&(aElementOf0(sdtasdt0(X12,esk13_3(X10,X11,X12)),xJ)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&(sdtpldt0(X10,X11)=sdtpldt0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)))|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&(((aElementOf0(esk16_3(X10,X11,X12),xI)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12))))&(aElementOf0(esk17_3(X10,X11,X12),xJ)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&(sdtpldt0(esk16_3(X10,X11,X12),esk17_3(X10,X11,X12))=sdtpldt0(X10,X11)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12))))))&(aElementOf0(sdtpldt0(X10,X11),sdtpldt1(xI,xJ))|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&(((aElementOf0(esk18_3(X10,X11,X12),xI)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12))))&(aElementOf0(esk19_3(X10,X11,X12),xJ)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&(sdtpldt0(esk18_3(X10,X11,X12),esk19_3(X10,X11,X12))=sdtasdt0(X12,X10)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12))))))&(aElementOf0(sdtasdt0(X12,X10),sdtpldt1(xI,xJ))|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12))))))&((((aElementOf0(esk12_3(X10,X11,X12),xI)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12))))&(aElementOf0(esk13_3(X10,X11,X12),xJ)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&(X10=sdtpldt0(esk12_3(X10,X11,X12),esk13_3(X10,X11,X12))|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&((((((((((((aElementOf0(esk14_3(X10,X11,X12),xI)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12))))&(aElementOf0(esk15_3(X10,X11,X12),xJ)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&(X11=sdtpldt0(esk14_3(X10,X11,X12),esk15_3(X10,X11,X12))|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&(aElementOf0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),xI)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&(aElementOf0(sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)),xJ)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&(aElementOf0(sdtasdt0(X12,esk12_3(X10,X11,X12)),xI)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&(aElementOf0(sdtasdt0(X12,esk13_3(X10,X11,X12)),xJ)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&(sdtpldt0(X10,X11)=sdtpldt0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)))|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&(((aElementOf0(esk16_3(X10,X11,X12),xI)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12))))&(aElementOf0(esk17_3(X10,X11,X12),xJ)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&(sdtpldt0(esk16_3(X10,X11,X12),esk17_3(X10,X11,X12))=sdtpldt0(X10,X11)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12))))))&(aElementOf0(sdtpldt0(X10,X11),sdtpldt1(xI,xJ))|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&(((aElementOf0(esk18_3(X10,X11,X12),xI)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12))))&(aElementOf0(esk19_3(X10,X11,X12),xJ)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))&(sdtpldt0(esk18_3(X10,X11,X12),esk19_3(X10,X11,X12))=sdtasdt0(X12,X10)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12))))))&(aElementOf0(sdtasdt0(X12,X10),sdtpldt1(xI,xJ))|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|((~(aElementOf0(X15,xI))|~(aElementOf0(X16,xJ)))|~(sdtpldt0(X15,X16)=X11)))|~(aElement0(X12)))))))&(((((aElementOf0(esk12_3(X10,X11,X12),xI)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12))))&(aElementOf0(esk13_3(X10,X11,X12),xJ)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&(X10=sdtpldt0(esk12_3(X10,X11,X12),esk13_3(X10,X11,X12))|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&((((((((((((aElementOf0(esk14_3(X10,X11,X12),xI)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12))))&(aElementOf0(esk15_3(X10,X11,X12),xJ)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&(X11=sdtpldt0(esk14_3(X10,X11,X12),esk15_3(X10,X11,X12))|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&(aElementOf0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),xI)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&(aElementOf0(sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)),xJ)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&(aElementOf0(sdtasdt0(X12,esk12_3(X10,X11,X12)),xI)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&(aElementOf0(sdtasdt0(X12,esk13_3(X10,X11,X12)),xJ)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&(sdtpldt0(X10,X11)=sdtpldt0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)))|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&(((aElementOf0(esk16_3(X10,X11,X12),xI)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12))))&(aElementOf0(esk17_3(X10,X11,X12),xJ)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&(sdtpldt0(esk16_3(X10,X11,X12),esk17_3(X10,X11,X12))=sdtpldt0(X10,X11)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12))))))&(aElementOf0(sdtpldt0(X10,X11),sdtpldt1(xI,xJ))|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&(((aElementOf0(esk18_3(X10,X11,X12),xI)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12))))&(aElementOf0(esk19_3(X10,X11,X12),xJ)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&(sdtpldt0(esk18_3(X10,X11,X12),esk19_3(X10,X11,X12))=sdtasdt0(X12,X10)|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12))))))&(aElementOf0(sdtasdt0(X12,X10),sdtpldt1(xI,xJ))|((((~(aElementOf0(X13,xI))|~(aElementOf0(X14,xJ)))|~(sdtpldt0(X13,X14)=X10))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12))))))&((((aElementOf0(esk12_3(X10,X11,X12),xI)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12))))&(aElementOf0(esk13_3(X10,X11,X12),xJ)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&(X10=sdtpldt0(esk12_3(X10,X11,X12),esk13_3(X10,X11,X12))|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&((((((((((((aElementOf0(esk14_3(X10,X11,X12),xI)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12))))&(aElementOf0(esk15_3(X10,X11,X12),xJ)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&(X11=sdtpldt0(esk14_3(X10,X11,X12),esk15_3(X10,X11,X12))|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&(aElementOf0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),xI)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&(aElementOf0(sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)),xJ)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&(aElementOf0(sdtasdt0(X12,esk12_3(X10,X11,X12)),xI)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&(aElementOf0(sdtasdt0(X12,esk13_3(X10,X11,X12)),xJ)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&(sdtpldt0(X10,X11)=sdtpldt0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)))|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&(((aElementOf0(esk16_3(X10,X11,X12),xI)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12))))&(aElementOf0(esk17_3(X10,X11,X12),xJ)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&(sdtpldt0(esk16_3(X10,X11,X12),esk17_3(X10,X11,X12))=sdtpldt0(X10,X11)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12))))))&(aElementOf0(sdtpldt0(X10,X11),sdtpldt1(xI,xJ))|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&(((aElementOf0(esk18_3(X10,X11,X12),xI)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12))))&(aElementOf0(esk19_3(X10,X11,X12),xJ)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12)))))&(sdtpldt0(esk18_3(X10,X11,X12),esk19_3(X10,X11,X12))=sdtasdt0(X12,X10)|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12))))))&(aElementOf0(sdtasdt0(X12,X10),sdtpldt1(xI,xJ))|((~(aElementOf0(X10,sdtpldt1(xI,xJ)))|~(aElementOf0(X11,sdtpldt1(xI,xJ))))|~(aElement0(X12))))))))),inference(distribute,[status(thm)],[157])).
% cnf(159,negated_conjecture,(aElementOf0(sdtasdt0(X1,X3),sdtpldt1(xI,xJ))|~aElement0(X1)|~aElementOf0(X2,sdtpldt1(xI,xJ))|~aElementOf0(X3,sdtpldt1(xI,xJ))),inference(split_conjunct,[status(thm)],[158])).
% cnf(163,negated_conjecture,(aElementOf0(sdtpldt0(X3,X2),sdtpldt1(xI,xJ))|~aElement0(X1)|~aElementOf0(X2,sdtpldt1(xI,xJ))|~aElementOf0(X3,sdtpldt1(xI,xJ))),inference(split_conjunct,[status(thm)],[158])).
% cnf(235,negated_conjecture,(~aIdeal0(sdtpldt1(xI,xJ))),inference(split_conjunct,[status(thm)],[158])).
% cnf(236,negated_conjecture,(~aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ))|~aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ))),inference(split_conjunct,[status(thm)],[158])).
% cnf(237,negated_conjecture,(aElement0(esk24_0)|~aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ))),inference(split_conjunct,[status(thm)],[158])).
% cnf(238,negated_conjecture,(aElementOf0(esk23_0,sdtpldt1(xI,xJ))|~aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ))),inference(split_conjunct,[status(thm)],[158])).
% cnf(239,negated_conjecture,(aElementOf0(esk23_0,sdtpldt1(xI,xJ))|aElement0(esk24_0)),inference(split_conjunct,[status(thm)],[158])).
% cnf(240,negated_conjecture,(aElementOf0(esk22_0,sdtpldt1(xI,xJ))),inference(split_conjunct,[status(thm)],[158])).
% cnf(241,negated_conjecture,(aSet0(sdtpldt1(xI,xJ))),inference(split_conjunct,[status(thm)],[158])).
% cnf(527,negated_conjecture,(aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ))|aIdeal0(sdtpldt1(xI,xJ))|~aElementOf0(X2,sdtpldt1(xI,xJ))|~aElement0(X1)|~aSet0(sdtpldt1(xI,xJ))),inference(spm,[status(thm)],[159,88,theory(equality)])).
% cnf(528,negated_conjecture,(aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ))|aIdeal0(sdtpldt1(xI,xJ))|~aElementOf0(X2,sdtpldt1(xI,xJ))|~aElement0(X1)|$false),inference(rw,[status(thm)],[527,241,theory(equality)])).
% cnf(529,negated_conjecture,(aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ))|aIdeal0(sdtpldt1(xI,xJ))|~aElementOf0(X2,sdtpldt1(xI,xJ))|~aElement0(X1)),inference(cn,[status(thm)],[528,theory(equality)])).
% cnf(530,negated_conjecture,(aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ))|~aElementOf0(X2,sdtpldt1(xI,xJ))|~aElement0(X1)),inference(sr,[status(thm)],[529,235,theory(equality)])).
% cnf(2126,negated_conjecture,(aElementOf0(esk23_0,sdtpldt1(xI,xJ))|~aElementOf0(esk22_0,sdtpldt1(xI,xJ))|~aElement0(esk24_0)),inference(spm,[status(thm)],[238,530,theory(equality)])).
% cnf(2127,negated_conjecture,(~aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ))|~aElementOf0(esk22_0,sdtpldt1(xI,xJ))|~aElement0(esk24_0)),inference(spm,[status(thm)],[236,530,theory(equality)])).
% cnf(2145,negated_conjecture,(aElementOf0(esk23_0,sdtpldt1(xI,xJ))|$false|~aElement0(esk24_0)),inference(rw,[status(thm)],[2126,240,theory(equality)])).
% cnf(2146,negated_conjecture,(aElementOf0(esk23_0,sdtpldt1(xI,xJ))|~aElement0(esk24_0)),inference(cn,[status(thm)],[2145,theory(equality)])).
% cnf(2147,negated_conjecture,(~aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ))|$false|~aElement0(esk24_0)),inference(rw,[status(thm)],[2127,240,theory(equality)])).
% cnf(2148,negated_conjecture,(~aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ))|~aElement0(esk24_0)),inference(cn,[status(thm)],[2147,theory(equality)])).
% cnf(2153,negated_conjecture,(aElementOf0(esk23_0,sdtpldt1(xI,xJ))),inference(csr,[status(thm)],[2146,239])).
% cnf(2154,negated_conjecture,(aElement0(esk23_0)|~aSet0(sdtpldt1(xI,xJ))),inference(spm,[status(thm)],[56,2153,theory(equality)])).
% cnf(2157,negated_conjecture,(aElement0(esk23_0)|$false),inference(rw,[status(thm)],[2154,241,theory(equality)])).
% cnf(2158,negated_conjecture,(aElement0(esk23_0)),inference(cn,[status(thm)],[2157,theory(equality)])).
% cnf(2159,negated_conjecture,(aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))|~aElementOf0(X1,sdtpldt1(xI,xJ))|~aElementOf0(X2,sdtpldt1(xI,xJ))),inference(spm,[status(thm)],[163,2158,theory(equality)])).
% cnf(2171,negated_conjecture,(~aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ))),inference(csr,[status(thm)],[2148,237])).
% cnf(3010,negated_conjecture,(~aElementOf0(esk22_0,sdtpldt1(xI,xJ))|~aElementOf0(esk23_0,sdtpldt1(xI,xJ))),inference(spm,[status(thm)],[2171,2159,theory(equality)])).
% cnf(3037,negated_conjecture,($false|~aElementOf0(esk23_0,sdtpldt1(xI,xJ))),inference(rw,[status(thm)],[3010,240,theory(equality)])).
% cnf(3038,negated_conjecture,($false|$false),inference(rw,[status(thm)],[3037,2153,theory(equality)])).
% cnf(3039,negated_conjecture,($false),inference(cn,[status(thm)],[3038,theory(equality)])).
% cnf(3040,negated_conjecture,($false),3039,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 462
% # ...of these trivial : 7
% # ...subsumed : 92
% # ...remaining for further processing: 363
% # Other redundant clauses eliminated : 348
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 10
% # Backward-rewritten : 15
% # Generated clauses : 2179
% # ...of the previous two non-trivial : 1700
% # Contextual simplify-reflections : 55
% # Paramodulations : 1768
% # Factorizations : 0
% # Equation resolutions : 411
% # Current number of processed clauses: 191
% # Positive orientable unit clauses: 17
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 3
% # Non-unit-clauses : 171
% # Current number of unprocessed clauses: 1402
% # ...number of literals in the above : 10735
% # Clause-clause subsumption calls (NU) : 2975
% # Rec. Clause-clause subsumption calls : 1612
% # Unit Clause-clause subsumption calls : 9
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 6
% # Indexed BW rewrite successes : 6
% # Backwards rewriting index: 159 leaves, 1.35+/-1.260 terms/leaf
% # Paramod-from index: 84 leaves, 1.04+/-0.186 terms/leaf
% # Paramod-into index: 141 leaves, 1.13+/-0.549 terms/leaf
% # -------------------------------------------------
% # User time : 0.139 s
% # System time : 0.006 s
% # Total time : 0.145 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.27 CPU 0.37 WC
% FINAL PrfWatch: 0.27 CPU 0.37 WC
% SZS output end Solution for /tmp/SystemOnTPTP32083/RNG092+2.tptp
%
%------------------------------------------------------------------------------