TSTP Solution File: RNG092+1 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : RNG092+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 : art07.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 22:30:21 EST 2010
% Result : Theorem 2.39s
% Output : Solution 2.39s
% 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/SystemOnTPTP4712/RNG092+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP4712/RNG092+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP4712/RNG092+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 4808
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time : 0.015 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(8, axiom,(aIdeal0(xI)&aIdeal0(xJ)),file('/tmp/SRASS.s.p', m__870)).
% fof(9, 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(10, axiom,![X1]:![X2]:((aSet0(X1)&aSet0(X2))=>![X3]:(X3=sdtpldt1(X1,X2)<=>(aSet0(X3)&![X4]:(aElementOf0(X4,X3)<=>?[X5]:?[X6]:((aElementOf0(X5,X1)&aElementOf0(X6,X2))&sdtpldt0(X5,X6)=X4))))),file('/tmp/SRASS.s.p', mDefSSum)).
% fof(18, axiom,aElement0(sz10),file('/tmp/SRASS.s.p', mSortsC_01)).
% fof(26, conjecture,(![X1]:![X2]:![X3]:(((aElementOf0(X1,sdtpldt1(xI,xJ))&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)))&aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ)))&aElementOf0(sdtasdt0(X3,X1),sdtpldt1(xI,xJ)))))=>aIdeal0(sdtpldt1(xI,xJ))),file('/tmp/SRASS.s.p', m__)).
% fof(27, negated_conjecture,~((![X1]:![X2]:![X3]:(((aElementOf0(X1,sdtpldt1(xI,xJ))&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)))&aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ)))&aElementOf0(sdtasdt0(X3,X1),sdtpldt1(xI,xJ)))))=>aIdeal0(sdtpldt1(xI,xJ)))),inference(assume_negation,[status(cth)],[26])).
% cnf(53,plain,(aIdeal0(xJ)),inference(split_conjunct,[status(thm)],[8])).
% cnf(54,plain,(aIdeal0(xI)),inference(split_conjunct,[status(thm)],[8])).
% fof(55, 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)],[9])).
% fof(56, 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)],[55])).
% fof(57, 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(esk1_1(X4),X4)&((aElementOf0(esk2_1(X4),X4)&~(aElementOf0(sdtpldt0(esk1_1(X4),esk2_1(X4)),X4)))|(aElement0(esk3_1(X4))&~(aElementOf0(sdtasdt0(esk3_1(X4),esk1_1(X4)),X4))))))|aIdeal0(X4))),inference(skolemize,[status(esa)],[56])).
% fof(58, 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(esk1_1(X4),X4)&((aElementOf0(esk2_1(X4),X4)&~(aElementOf0(sdtpldt0(esk1_1(X4),esk2_1(X4)),X4)))|(aElement0(esk3_1(X4))&~(aElementOf0(sdtasdt0(esk3_1(X4),esk1_1(X4)),X4))))))|aIdeal0(X4))),inference(shift_quantors,[status(thm)],[57])).
% fof(59, 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(esk1_1(X4),X4)|~(aSet0(X4)))|aIdeal0(X4))&(((((aElement0(esk3_1(X4))|aElementOf0(esk2_1(X4),X4))|~(aSet0(X4)))|aIdeal0(X4))&(((~(aElementOf0(sdtasdt0(esk3_1(X4),esk1_1(X4)),X4))|aElementOf0(esk2_1(X4),X4))|~(aSet0(X4)))|aIdeal0(X4)))&((((aElement0(esk3_1(X4))|~(aElementOf0(sdtpldt0(esk1_1(X4),esk2_1(X4)),X4)))|~(aSet0(X4)))|aIdeal0(X4))&(((~(aElementOf0(sdtasdt0(esk3_1(X4),esk1_1(X4)),X4))|~(aElementOf0(sdtpldt0(esk1_1(X4),esk2_1(X4)),X4)))|~(aSet0(X4)))|aIdeal0(X4)))))),inference(distribute,[status(thm)],[58])).
% cnf(60,plain,(aIdeal0(X1)|~aSet0(X1)|~aElementOf0(sdtpldt0(esk1_1(X1),esk2_1(X1)),X1)|~aElementOf0(sdtasdt0(esk3_1(X1),esk1_1(X1)),X1)),inference(split_conjunct,[status(thm)],[59])).
% cnf(61,plain,(aIdeal0(X1)|aElement0(esk3_1(X1))|~aSet0(X1)|~aElementOf0(sdtpldt0(esk1_1(X1),esk2_1(X1)),X1)),inference(split_conjunct,[status(thm)],[59])).
% cnf(62,plain,(aIdeal0(X1)|aElementOf0(esk2_1(X1),X1)|~aSet0(X1)|~aElementOf0(sdtasdt0(esk3_1(X1),esk1_1(X1)),X1)),inference(split_conjunct,[status(thm)],[59])).
% cnf(63,plain,(aIdeal0(X1)|aElementOf0(esk2_1(X1),X1)|aElement0(esk3_1(X1))|~aSet0(X1)),inference(split_conjunct,[status(thm)],[59])).
% cnf(64,plain,(aIdeal0(X1)|aElementOf0(esk1_1(X1),X1)|~aSet0(X1)),inference(split_conjunct,[status(thm)],[59])).
% cnf(65,plain,(aSet0(X1)|~aIdeal0(X1)),inference(split_conjunct,[status(thm)],[59])).
% fof(68, plain,![X1]:![X2]:((~(aSet0(X1))|~(aSet0(X2)))|![X3]:((~(X3=sdtpldt1(X1,X2))|(aSet0(X3)&![X4]:((~(aElementOf0(X4,X3))|?[X5]:?[X6]:((aElementOf0(X5,X1)&aElementOf0(X6,X2))&sdtpldt0(X5,X6)=X4))&(![X5]:![X6]:((~(aElementOf0(X5,X1))|~(aElementOf0(X6,X2)))|~(sdtpldt0(X5,X6)=X4))|aElementOf0(X4,X3)))))&((~(aSet0(X3))|?[X4]:((~(aElementOf0(X4,X3))|![X5]:![X6]:((~(aElementOf0(X5,X1))|~(aElementOf0(X6,X2)))|~(sdtpldt0(X5,X6)=X4)))&(aElementOf0(X4,X3)|?[X5]:?[X6]:((aElementOf0(X5,X1)&aElementOf0(X6,X2))&sdtpldt0(X5,X6)=X4))))|X3=sdtpldt1(X1,X2)))),inference(fof_nnf,[status(thm)],[10])).
% fof(69, plain,![X7]:![X8]:((~(aSet0(X7))|~(aSet0(X8)))|![X9]:((~(X9=sdtpldt1(X7,X8))|(aSet0(X9)&![X10]:((~(aElementOf0(X10,X9))|?[X11]:?[X12]:((aElementOf0(X11,X7)&aElementOf0(X12,X8))&sdtpldt0(X11,X12)=X10))&(![X13]:![X14]:((~(aElementOf0(X13,X7))|~(aElementOf0(X14,X8)))|~(sdtpldt0(X13,X14)=X10))|aElementOf0(X10,X9)))))&((~(aSet0(X9))|?[X15]:((~(aElementOf0(X15,X9))|![X16]:![X17]:((~(aElementOf0(X16,X7))|~(aElementOf0(X17,X8)))|~(sdtpldt0(X16,X17)=X15)))&(aElementOf0(X15,X9)|?[X18]:?[X19]:((aElementOf0(X18,X7)&aElementOf0(X19,X8))&sdtpldt0(X18,X19)=X15))))|X9=sdtpldt1(X7,X8)))),inference(variable_rename,[status(thm)],[68])).
% fof(70, plain,![X7]:![X8]:((~(aSet0(X7))|~(aSet0(X8)))|![X9]:((~(X9=sdtpldt1(X7,X8))|(aSet0(X9)&![X10]:((~(aElementOf0(X10,X9))|((aElementOf0(esk4_4(X7,X8,X9,X10),X7)&aElementOf0(esk5_4(X7,X8,X9,X10),X8))&sdtpldt0(esk4_4(X7,X8,X9,X10),esk5_4(X7,X8,X9,X10))=X10))&(![X13]:![X14]:((~(aElementOf0(X13,X7))|~(aElementOf0(X14,X8)))|~(sdtpldt0(X13,X14)=X10))|aElementOf0(X10,X9)))))&((~(aSet0(X9))|((~(aElementOf0(esk6_3(X7,X8,X9),X9))|![X16]:![X17]:((~(aElementOf0(X16,X7))|~(aElementOf0(X17,X8)))|~(sdtpldt0(X16,X17)=esk6_3(X7,X8,X9))))&(aElementOf0(esk6_3(X7,X8,X9),X9)|((aElementOf0(esk7_3(X7,X8,X9),X7)&aElementOf0(esk8_3(X7,X8,X9),X8))&sdtpldt0(esk7_3(X7,X8,X9),esk8_3(X7,X8,X9))=esk6_3(X7,X8,X9)))))|X9=sdtpldt1(X7,X8)))),inference(skolemize,[status(esa)],[69])).
% fof(71, plain,![X7]:![X8]:![X9]:![X10]:![X13]:![X14]:![X16]:![X17]:((((((((~(aElementOf0(X16,X7))|~(aElementOf0(X17,X8)))|~(sdtpldt0(X16,X17)=esk6_3(X7,X8,X9)))|~(aElementOf0(esk6_3(X7,X8,X9),X9)))&(aElementOf0(esk6_3(X7,X8,X9),X9)|((aElementOf0(esk7_3(X7,X8,X9),X7)&aElementOf0(esk8_3(X7,X8,X9),X8))&sdtpldt0(esk7_3(X7,X8,X9),esk8_3(X7,X8,X9))=esk6_3(X7,X8,X9))))|~(aSet0(X9)))|X9=sdtpldt1(X7,X8))&((((((~(aElementOf0(X13,X7))|~(aElementOf0(X14,X8)))|~(sdtpldt0(X13,X14)=X10))|aElementOf0(X10,X9))&(~(aElementOf0(X10,X9))|((aElementOf0(esk4_4(X7,X8,X9,X10),X7)&aElementOf0(esk5_4(X7,X8,X9,X10),X8))&sdtpldt0(esk4_4(X7,X8,X9,X10),esk5_4(X7,X8,X9,X10))=X10)))&aSet0(X9))|~(X9=sdtpldt1(X7,X8))))|(~(aSet0(X7))|~(aSet0(X8)))),inference(shift_quantors,[status(thm)],[70])).
% fof(72, plain,![X7]:![X8]:![X9]:![X10]:![X13]:![X14]:![X16]:![X17]:((((((((~(aElementOf0(X16,X7))|~(aElementOf0(X17,X8)))|~(sdtpldt0(X16,X17)=esk6_3(X7,X8,X9)))|~(aElementOf0(esk6_3(X7,X8,X9),X9)))|~(aSet0(X9)))|X9=sdtpldt1(X7,X8))|(~(aSet0(X7))|~(aSet0(X8))))&((((((aElementOf0(esk7_3(X7,X8,X9),X7)|aElementOf0(esk6_3(X7,X8,X9),X9))|~(aSet0(X9)))|X9=sdtpldt1(X7,X8))|(~(aSet0(X7))|~(aSet0(X8))))&((((aElementOf0(esk8_3(X7,X8,X9),X8)|aElementOf0(esk6_3(X7,X8,X9),X9))|~(aSet0(X9)))|X9=sdtpldt1(X7,X8))|(~(aSet0(X7))|~(aSet0(X8)))))&((((sdtpldt0(esk7_3(X7,X8,X9),esk8_3(X7,X8,X9))=esk6_3(X7,X8,X9)|aElementOf0(esk6_3(X7,X8,X9),X9))|~(aSet0(X9)))|X9=sdtpldt1(X7,X8))|(~(aSet0(X7))|~(aSet0(X8))))))&(((((((~(aElementOf0(X13,X7))|~(aElementOf0(X14,X8)))|~(sdtpldt0(X13,X14)=X10))|aElementOf0(X10,X9))|~(X9=sdtpldt1(X7,X8)))|(~(aSet0(X7))|~(aSet0(X8))))&(((((aElementOf0(esk4_4(X7,X8,X9,X10),X7)|~(aElementOf0(X10,X9)))|~(X9=sdtpldt1(X7,X8)))|(~(aSet0(X7))|~(aSet0(X8))))&(((aElementOf0(esk5_4(X7,X8,X9,X10),X8)|~(aElementOf0(X10,X9)))|~(X9=sdtpldt1(X7,X8)))|(~(aSet0(X7))|~(aSet0(X8)))))&(((sdtpldt0(esk4_4(X7,X8,X9,X10),esk5_4(X7,X8,X9,X10))=X10|~(aElementOf0(X10,X9)))|~(X9=sdtpldt1(X7,X8)))|(~(aSet0(X7))|~(aSet0(X8))))))&((aSet0(X9)|~(X9=sdtpldt1(X7,X8)))|(~(aSet0(X7))|~(aSet0(X8)))))),inference(distribute,[status(thm)],[71])).
% cnf(73,plain,(aSet0(X3)|~aSet0(X1)|~aSet0(X2)|X3!=sdtpldt1(X2,X1)),inference(split_conjunct,[status(thm)],[72])).
% cnf(113,plain,(aElement0(sz10)),inference(split_conjunct,[status(thm)],[18])).
% fof(144, negated_conjecture,(![X1]:![X2]:![X3]:(((~(aElementOf0(X1,sdtpldt1(xI,xJ)))|~(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)))&aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ)))&aElementOf0(sdtasdt0(X3,X1),sdtpldt1(xI,xJ)))))&~(aIdeal0(sdtpldt1(xI,xJ)))),inference(fof_nnf,[status(thm)],[27])).
% fof(145, negated_conjecture,(![X8]:![X9]:![X10]:(((~(aElementOf0(X8,sdtpldt1(xI,xJ)))|~(aElementOf0(X9,sdtpldt1(xI,xJ))))|~(aElement0(X10)))|?[X11]:?[X12]:(((aElementOf0(X11,xI)&aElementOf0(X12,xJ))&X8=sdtpldt0(X11,X12))&?[X13]:?[X14]:(((((((((aElementOf0(X13,xI)&aElementOf0(X14,xJ))&X9=sdtpldt0(X13,X14))&aElementOf0(sdtpldt0(X11,X13),xI))&aElementOf0(sdtpldt0(X12,X14),xJ))&aElementOf0(sdtasdt0(X10,X11),xI))&aElementOf0(sdtasdt0(X10,X12),xJ))&sdtpldt0(X8,X9)=sdtpldt0(sdtpldt0(X11,X13),sdtpldt0(X12,X14)))&aElementOf0(sdtpldt0(X8,X9),sdtpldt1(xI,xJ)))&aElementOf0(sdtasdt0(X10,X8),sdtpldt1(xI,xJ)))))&~(aIdeal0(sdtpldt1(xI,xJ)))),inference(variable_rename,[status(thm)],[144])).
% fof(146, negated_conjecture,(![X8]:![X9]:![X10]:(((~(aElementOf0(X8,sdtpldt1(xI,xJ)))|~(aElementOf0(X9,sdtpldt1(xI,xJ))))|~(aElement0(X10)))|(((aElementOf0(esk12_3(X8,X9,X10),xI)&aElementOf0(esk13_3(X8,X9,X10),xJ))&X8=sdtpldt0(esk12_3(X8,X9,X10),esk13_3(X8,X9,X10)))&(((((((((aElementOf0(esk14_3(X8,X9,X10),xI)&aElementOf0(esk15_3(X8,X9,X10),xJ))&X9=sdtpldt0(esk14_3(X8,X9,X10),esk15_3(X8,X9,X10)))&aElementOf0(sdtpldt0(esk12_3(X8,X9,X10),esk14_3(X8,X9,X10)),xI))&aElementOf0(sdtpldt0(esk13_3(X8,X9,X10),esk15_3(X8,X9,X10)),xJ))&aElementOf0(sdtasdt0(X10,esk12_3(X8,X9,X10)),xI))&aElementOf0(sdtasdt0(X10,esk13_3(X8,X9,X10)),xJ))&sdtpldt0(X8,X9)=sdtpldt0(sdtpldt0(esk12_3(X8,X9,X10),esk14_3(X8,X9,X10)),sdtpldt0(esk13_3(X8,X9,X10),esk15_3(X8,X9,X10))))&aElementOf0(sdtpldt0(X8,X9),sdtpldt1(xI,xJ)))&aElementOf0(sdtasdt0(X10,X8),sdtpldt1(xI,xJ)))))&~(aIdeal0(sdtpldt1(xI,xJ)))),inference(skolemize,[status(esa)],[145])).
% fof(147, negated_conjecture,![X8]:![X9]:![X10]:((((~(aElementOf0(X8,sdtpldt1(xI,xJ)))|~(aElementOf0(X9,sdtpldt1(xI,xJ))))|~(aElement0(X10)))|(((aElementOf0(esk12_3(X8,X9,X10),xI)&aElementOf0(esk13_3(X8,X9,X10),xJ))&X8=sdtpldt0(esk12_3(X8,X9,X10),esk13_3(X8,X9,X10)))&(((((((((aElementOf0(esk14_3(X8,X9,X10),xI)&aElementOf0(esk15_3(X8,X9,X10),xJ))&X9=sdtpldt0(esk14_3(X8,X9,X10),esk15_3(X8,X9,X10)))&aElementOf0(sdtpldt0(esk12_3(X8,X9,X10),esk14_3(X8,X9,X10)),xI))&aElementOf0(sdtpldt0(esk13_3(X8,X9,X10),esk15_3(X8,X9,X10)),xJ))&aElementOf0(sdtasdt0(X10,esk12_3(X8,X9,X10)),xI))&aElementOf0(sdtasdt0(X10,esk13_3(X8,X9,X10)),xJ))&sdtpldt0(X8,X9)=sdtpldt0(sdtpldt0(esk12_3(X8,X9,X10),esk14_3(X8,X9,X10)),sdtpldt0(esk13_3(X8,X9,X10),esk15_3(X8,X9,X10))))&aElementOf0(sdtpldt0(X8,X9),sdtpldt1(xI,xJ)))&aElementOf0(sdtasdt0(X10,X8),sdtpldt1(xI,xJ)))))&~(aIdeal0(sdtpldt1(xI,xJ)))),inference(shift_quantors,[status(thm)],[146])).
% fof(148, negated_conjecture,![X8]:![X9]:![X10]:(((((aElementOf0(esk12_3(X8,X9,X10),xI)|((~(aElementOf0(X8,sdtpldt1(xI,xJ)))|~(aElementOf0(X9,sdtpldt1(xI,xJ))))|~(aElement0(X10))))&(aElementOf0(esk13_3(X8,X9,X10),xJ)|((~(aElementOf0(X8,sdtpldt1(xI,xJ)))|~(aElementOf0(X9,sdtpldt1(xI,xJ))))|~(aElement0(X10)))))&(X8=sdtpldt0(esk12_3(X8,X9,X10),esk13_3(X8,X9,X10))|((~(aElementOf0(X8,sdtpldt1(xI,xJ)))|~(aElementOf0(X9,sdtpldt1(xI,xJ))))|~(aElement0(X10)))))&((((((((((aElementOf0(esk14_3(X8,X9,X10),xI)|((~(aElementOf0(X8,sdtpldt1(xI,xJ)))|~(aElementOf0(X9,sdtpldt1(xI,xJ))))|~(aElement0(X10))))&(aElementOf0(esk15_3(X8,X9,X10),xJ)|((~(aElementOf0(X8,sdtpldt1(xI,xJ)))|~(aElementOf0(X9,sdtpldt1(xI,xJ))))|~(aElement0(X10)))))&(X9=sdtpldt0(esk14_3(X8,X9,X10),esk15_3(X8,X9,X10))|((~(aElementOf0(X8,sdtpldt1(xI,xJ)))|~(aElementOf0(X9,sdtpldt1(xI,xJ))))|~(aElement0(X10)))))&(aElementOf0(sdtpldt0(esk12_3(X8,X9,X10),esk14_3(X8,X9,X10)),xI)|((~(aElementOf0(X8,sdtpldt1(xI,xJ)))|~(aElementOf0(X9,sdtpldt1(xI,xJ))))|~(aElement0(X10)))))&(aElementOf0(sdtpldt0(esk13_3(X8,X9,X10),esk15_3(X8,X9,X10)),xJ)|((~(aElementOf0(X8,sdtpldt1(xI,xJ)))|~(aElementOf0(X9,sdtpldt1(xI,xJ))))|~(aElement0(X10)))))&(aElementOf0(sdtasdt0(X10,esk12_3(X8,X9,X10)),xI)|((~(aElementOf0(X8,sdtpldt1(xI,xJ)))|~(aElementOf0(X9,sdtpldt1(xI,xJ))))|~(aElement0(X10)))))&(aElementOf0(sdtasdt0(X10,esk13_3(X8,X9,X10)),xJ)|((~(aElementOf0(X8,sdtpldt1(xI,xJ)))|~(aElementOf0(X9,sdtpldt1(xI,xJ))))|~(aElement0(X10)))))&(sdtpldt0(X8,X9)=sdtpldt0(sdtpldt0(esk12_3(X8,X9,X10),esk14_3(X8,X9,X10)),sdtpldt0(esk13_3(X8,X9,X10),esk15_3(X8,X9,X10)))|((~(aElementOf0(X8,sdtpldt1(xI,xJ)))|~(aElementOf0(X9,sdtpldt1(xI,xJ))))|~(aElement0(X10)))))&(aElementOf0(sdtpldt0(X8,X9),sdtpldt1(xI,xJ))|((~(aElementOf0(X8,sdtpldt1(xI,xJ)))|~(aElementOf0(X9,sdtpldt1(xI,xJ))))|~(aElement0(X10)))))&(aElementOf0(sdtasdt0(X10,X8),sdtpldt1(xI,xJ))|((~(aElementOf0(X8,sdtpldt1(xI,xJ)))|~(aElementOf0(X9,sdtpldt1(xI,xJ))))|~(aElement0(X10))))))&~(aIdeal0(sdtpldt1(xI,xJ)))),inference(distribute,[status(thm)],[147])).
% cnf(149,negated_conjecture,(~aIdeal0(sdtpldt1(xI,xJ))),inference(split_conjunct,[status(thm)],[148])).
% cnf(150,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)],[148])).
% cnf(151,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)],[148])).
% cnf(163,plain,(aSet0(xJ)),inference(spm,[status(thm)],[65,53,theory(equality)])).
% cnf(164,plain,(aSet0(xI)),inference(spm,[status(thm)],[65,54,theory(equality)])).
% cnf(196,negated_conjecture,(aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))|~aElementOf0(X1,sdtpldt1(xI,xJ))|~aElementOf0(X2,sdtpldt1(xI,xJ))),inference(spm,[status(thm)],[151,113,theory(equality)])).
% cnf(200,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)],[150,64,theory(equality)])).
% cnf(202,negated_conjecture,(aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ))|~aElementOf0(X2,sdtpldt1(xI,xJ))|~aElement0(X1)|~aSet0(sdtpldt1(xI,xJ))),inference(sr,[status(thm)],[200,149,theory(equality)])).
% cnf(285,plain,(aSet0(sdtpldt1(X1,X2))|~aSet0(X1)|~aSet0(X2)),inference(er,[status(thm)],[73,theory(equality)])).
% cnf(574,negated_conjecture,(aIdeal0(sdtpldt1(xI,xJ))|aElement0(esk3_1(sdtpldt1(xI,xJ)))|~aSet0(sdtpldt1(xI,xJ))|~aElementOf0(esk1_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))|~aElementOf0(esk2_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))),inference(spm,[status(thm)],[61,196,theory(equality)])).
% cnf(590,negated_conjecture,(aElement0(esk3_1(sdtpldt1(xI,xJ)))|~aSet0(sdtpldt1(xI,xJ))|~aElementOf0(esk1_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))|~aElementOf0(esk2_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))),inference(sr,[status(thm)],[574,149,theory(equality)])).
% cnf(642,negated_conjecture,(aElementOf0(esk2_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))|aIdeal0(sdtpldt1(xI,xJ))|~aSet0(sdtpldt1(xI,xJ))|~aElementOf0(esk1_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))|~aElement0(esk3_1(sdtpldt1(xI,xJ)))),inference(spm,[status(thm)],[62,202,theory(equality)])).
% cnf(643,negated_conjecture,(aIdeal0(sdtpldt1(xI,xJ))|~aElementOf0(sdtpldt0(esk1_1(sdtpldt1(xI,xJ)),esk2_1(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))|~aSet0(sdtpldt1(xI,xJ))|~aElementOf0(esk1_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))|~aElement0(esk3_1(sdtpldt1(xI,xJ)))),inference(spm,[status(thm)],[60,202,theory(equality)])).
% cnf(653,negated_conjecture,(aElementOf0(esk2_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))|~aSet0(sdtpldt1(xI,xJ))|~aElementOf0(esk1_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))|~aElement0(esk3_1(sdtpldt1(xI,xJ)))),inference(sr,[status(thm)],[642,149,theory(equality)])).
% cnf(654,negated_conjecture,(~aElementOf0(sdtpldt0(esk1_1(sdtpldt1(xI,xJ)),esk2_1(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))|~aSet0(sdtpldt1(xI,xJ))|~aElementOf0(esk1_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))|~aElement0(esk3_1(sdtpldt1(xI,xJ)))),inference(sr,[status(thm)],[643,149,theory(equality)])).
% cnf(682,negated_conjecture,(~aElementOf0(esk1_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))|~aSet0(sdtpldt1(xI,xJ))|~aElement0(esk3_1(sdtpldt1(xI,xJ)))|~aElementOf0(esk2_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))),inference(spm,[status(thm)],[654,196,theory(equality)])).
% cnf(683,negated_conjecture,(~aElementOf0(esk1_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))|~aSet0(sdtpldt1(xI,xJ))|~aElement0(esk3_1(sdtpldt1(xI,xJ)))),inference(csr,[status(thm)],[682,653])).
% cnf(684,negated_conjecture,(aIdeal0(sdtpldt1(xI,xJ))|~aSet0(sdtpldt1(xI,xJ))|~aElement0(esk3_1(sdtpldt1(xI,xJ)))),inference(spm,[status(thm)],[683,64,theory(equality)])).
% cnf(685,negated_conjecture,(~aSet0(sdtpldt1(xI,xJ))|~aElement0(esk3_1(sdtpldt1(xI,xJ)))),inference(sr,[status(thm)],[684,149,theory(equality)])).
% cnf(1687,plain,(aElementOf0(esk2_1(sdtpldt1(X1,X2)),sdtpldt1(X1,X2))|aIdeal0(sdtpldt1(X1,X2))|aElement0(esk3_1(sdtpldt1(X1,X2)))|~aSet0(X1)|~aSet0(X2)),inference(spm,[status(thm)],[63,285,theory(equality)])).
% cnf(49526,negated_conjecture,(aElement0(esk3_1(sdtpldt1(xI,xJ)))|aIdeal0(sdtpldt1(xI,xJ))|~aElementOf0(esk1_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))|~aSet0(sdtpldt1(xI,xJ))|~aSet0(xI)|~aSet0(xJ)),inference(spm,[status(thm)],[590,1687,theory(equality)])).
% cnf(49539,negated_conjecture,(aElement0(esk3_1(sdtpldt1(xI,xJ)))|aIdeal0(sdtpldt1(xI,xJ))|~aElementOf0(esk1_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))|~aSet0(sdtpldt1(xI,xJ))|$false|~aSet0(xJ)),inference(rw,[status(thm)],[49526,164,theory(equality)])).
% cnf(49540,negated_conjecture,(aElement0(esk3_1(sdtpldt1(xI,xJ)))|aIdeal0(sdtpldt1(xI,xJ))|~aElementOf0(esk1_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))|~aSet0(sdtpldt1(xI,xJ))|$false|$false),inference(rw,[status(thm)],[49539,163,theory(equality)])).
% cnf(49541,negated_conjecture,(aElement0(esk3_1(sdtpldt1(xI,xJ)))|aIdeal0(sdtpldt1(xI,xJ))|~aElementOf0(esk1_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))|~aSet0(sdtpldt1(xI,xJ))),inference(cn,[status(thm)],[49540,theory(equality)])).
% cnf(49542,negated_conjecture,(aElement0(esk3_1(sdtpldt1(xI,xJ)))|~aElementOf0(esk1_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))|~aSet0(sdtpldt1(xI,xJ))),inference(sr,[status(thm)],[49541,149,theory(equality)])).
% cnf(49543,negated_conjecture,(~aElementOf0(esk1_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))|~aSet0(sdtpldt1(xI,xJ))),inference(csr,[status(thm)],[49542,685])).
% cnf(49544,negated_conjecture,(aIdeal0(sdtpldt1(xI,xJ))|~aSet0(sdtpldt1(xI,xJ))),inference(spm,[status(thm)],[49543,64,theory(equality)])).
% cnf(49545,negated_conjecture,(~aSet0(sdtpldt1(xI,xJ))),inference(sr,[status(thm)],[49544,149,theory(equality)])).
% cnf(49546,negated_conjecture,(~aSet0(xI)|~aSet0(xJ)),inference(spm,[status(thm)],[49545,285,theory(equality)])).
% cnf(49547,negated_conjecture,($false|~aSet0(xJ)),inference(rw,[status(thm)],[49546,164,theory(equality)])).
% cnf(49548,negated_conjecture,($false|$false),inference(rw,[status(thm)],[49547,163,theory(equality)])).
% cnf(49549,negated_conjecture,($false),inference(cn,[status(thm)],[49548,theory(equality)])).
% cnf(49550,negated_conjecture,($false),49549,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 3533
% # ...of these trivial : 25
% # ...subsumed : 2745
% # ...remaining for further processing: 763
% # Other redundant clauses eliminated : 10
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 48
% # Backward-rewritten : 16
% # Generated clauses : 21657
% # ...of the previous two non-trivial : 18154
% # Contextual simplify-reflections : 1221
% # Paramodulations : 21630
% # Factorizations : 0
% # Equation resolutions : 27
% # Current number of processed clauses: 631
% # Positive orientable unit clauses: 22
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 3
% # Non-unit-clauses : 606
% # Current number of unprocessed clauses: 14203
% # ...number of literals in the above : 77265
% # Clause-clause subsumption calls (NU) : 41062
% # Rec. Clause-clause subsumption calls : 36574
% # Unit Clause-clause subsumption calls : 75
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 13
% # Indexed BW rewrite successes : 7
% # Backwards rewriting index: 471 leaves, 1.83+/-1.822 terms/leaf
% # Paramod-from index: 283 leaves, 1.63+/-1.459 terms/leaf
% # Paramod-into index: 423 leaves, 1.70+/-1.474 terms/leaf
% # -------------------------------------------------
% # User time : 0.900 s
% # System time : 0.021 s
% # Total time : 0.921 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.58 CPU 1.65 WC
% FINAL PrfWatch: 1.58 CPU 1.65 WC
% SZS output end Solution for /tmp/SystemOnTPTP4712/RNG092+1.tptp
%
%------------------------------------------------------------------------------