TSTP Solution File: SEU280+1 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU280+1 : TPTP v5.0.0. Released v3.3.0.
% 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 : Thu Dec 30 02:57:45 EST 2010

% Result   : Theorem 0.98s
% Output   : Solution 0.98s
% 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/SystemOnTPTP16817/SEU280+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP16817/SEU280+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP16817/SEU280+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 16913
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time     : 0.011 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:(![X2]:![X3]:![X4]:((((X2=X3&ordinal(X3))&X2=X4)&ordinal(X4))=>X3=X4)=>?[X2]:![X3]:(in(X3,X2)<=>?[X4]:((in(X4,X1)&X4=X3)&ordinal(X3)))),file('/tmp/SRASS.s.p', s1_tarski__e6_22__wellord2__1)).
% fof(6, conjecture,![X1]:?[X2]:![X3]:(in(X3,X2)<=>(in(X3,X1)&ordinal(X3))),file('/tmp/SRASS.s.p', s1_xboole_0__e6_22__wellord2)).
% fof(7, negated_conjecture,~(![X1]:?[X2]:![X3]:(in(X3,X2)<=>(in(X3,X1)&ordinal(X3)))),inference(assume_negation,[status(cth)],[6])).
% fof(12, plain,![X1]:(?[X2]:?[X3]:?[X4]:((((X2=X3&ordinal(X3))&X2=X4)&ordinal(X4))&~(X3=X4))|?[X2]:![X3]:((~(in(X3,X2))|?[X4]:((in(X4,X1)&X4=X3)&ordinal(X3)))&(![X4]:((~(in(X4,X1))|~(X4=X3))|~(ordinal(X3)))|in(X3,X2)))),inference(fof_nnf,[status(thm)],[2])).
% fof(13, plain,![X5]:(?[X6]:?[X7]:?[X8]:((((X6=X7&ordinal(X7))&X6=X8)&ordinal(X8))&~(X7=X8))|?[X9]:![X10]:((~(in(X10,X9))|?[X11]:((in(X11,X5)&X11=X10)&ordinal(X10)))&(![X12]:((~(in(X12,X5))|~(X12=X10))|~(ordinal(X10)))|in(X10,X9)))),inference(variable_rename,[status(thm)],[12])).
% fof(14, plain,![X5]:(((((esk1_1(X5)=esk2_1(X5)&ordinal(esk2_1(X5)))&esk1_1(X5)=esk3_1(X5))&ordinal(esk3_1(X5)))&~(esk2_1(X5)=esk3_1(X5)))|![X10]:((~(in(X10,esk4_1(X5)))|((in(esk5_2(X5,X10),X5)&esk5_2(X5,X10)=X10)&ordinal(X10)))&(![X12]:((~(in(X12,X5))|~(X12=X10))|~(ordinal(X10)))|in(X10,esk4_1(X5))))),inference(skolemize,[status(esa)],[13])).
% fof(15, plain,![X5]:![X10]:![X12]:(((((~(in(X12,X5))|~(X12=X10))|~(ordinal(X10)))|in(X10,esk4_1(X5)))&(~(in(X10,esk4_1(X5)))|((in(esk5_2(X5,X10),X5)&esk5_2(X5,X10)=X10)&ordinal(X10))))|((((esk1_1(X5)=esk2_1(X5)&ordinal(esk2_1(X5)))&esk1_1(X5)=esk3_1(X5))&ordinal(esk3_1(X5)))&~(esk2_1(X5)=esk3_1(X5)))),inference(shift_quantors,[status(thm)],[14])).
% fof(16, plain,![X5]:![X10]:![X12]:((((((esk1_1(X5)=esk2_1(X5)|(((~(in(X12,X5))|~(X12=X10))|~(ordinal(X10)))|in(X10,esk4_1(X5))))&(ordinal(esk2_1(X5))|(((~(in(X12,X5))|~(X12=X10))|~(ordinal(X10)))|in(X10,esk4_1(X5)))))&(esk1_1(X5)=esk3_1(X5)|(((~(in(X12,X5))|~(X12=X10))|~(ordinal(X10)))|in(X10,esk4_1(X5)))))&(ordinal(esk3_1(X5))|(((~(in(X12,X5))|~(X12=X10))|~(ordinal(X10)))|in(X10,esk4_1(X5)))))&(~(esk2_1(X5)=esk3_1(X5))|(((~(in(X12,X5))|~(X12=X10))|~(ordinal(X10)))|in(X10,esk4_1(X5)))))&(((((((esk1_1(X5)=esk2_1(X5)|(in(esk5_2(X5,X10),X5)|~(in(X10,esk4_1(X5)))))&(ordinal(esk2_1(X5))|(in(esk5_2(X5,X10),X5)|~(in(X10,esk4_1(X5))))))&(esk1_1(X5)=esk3_1(X5)|(in(esk5_2(X5,X10),X5)|~(in(X10,esk4_1(X5))))))&(ordinal(esk3_1(X5))|(in(esk5_2(X5,X10),X5)|~(in(X10,esk4_1(X5))))))&(~(esk2_1(X5)=esk3_1(X5))|(in(esk5_2(X5,X10),X5)|~(in(X10,esk4_1(X5))))))&(((((esk1_1(X5)=esk2_1(X5)|(esk5_2(X5,X10)=X10|~(in(X10,esk4_1(X5)))))&(ordinal(esk2_1(X5))|(esk5_2(X5,X10)=X10|~(in(X10,esk4_1(X5))))))&(esk1_1(X5)=esk3_1(X5)|(esk5_2(X5,X10)=X10|~(in(X10,esk4_1(X5))))))&(ordinal(esk3_1(X5))|(esk5_2(X5,X10)=X10|~(in(X10,esk4_1(X5))))))&(~(esk2_1(X5)=esk3_1(X5))|(esk5_2(X5,X10)=X10|~(in(X10,esk4_1(X5)))))))&(((((esk1_1(X5)=esk2_1(X5)|(ordinal(X10)|~(in(X10,esk4_1(X5)))))&(ordinal(esk2_1(X5))|(ordinal(X10)|~(in(X10,esk4_1(X5))))))&(esk1_1(X5)=esk3_1(X5)|(ordinal(X10)|~(in(X10,esk4_1(X5))))))&(ordinal(esk3_1(X5))|(ordinal(X10)|~(in(X10,esk4_1(X5))))))&(~(esk2_1(X5)=esk3_1(X5))|(ordinal(X10)|~(in(X10,esk4_1(X5)))))))),inference(distribute,[status(thm)],[15])).
% cnf(17,plain,(ordinal(X1)|~in(X1,esk4_1(X2))|esk2_1(X2)!=esk3_1(X2)),inference(split_conjunct,[status(thm)],[16])).
% cnf(19,plain,(ordinal(X1)|esk1_1(X2)=esk3_1(X2)|~in(X1,esk4_1(X2))),inference(split_conjunct,[status(thm)],[16])).
% cnf(21,plain,(ordinal(X1)|esk1_1(X2)=esk2_1(X2)|~in(X1,esk4_1(X2))),inference(split_conjunct,[status(thm)],[16])).
% cnf(22,plain,(esk5_2(X2,X1)=X1|~in(X1,esk4_1(X2))|esk2_1(X2)!=esk3_1(X2)),inference(split_conjunct,[status(thm)],[16])).
% cnf(24,plain,(esk5_2(X2,X1)=X1|esk1_1(X2)=esk3_1(X2)|~in(X1,esk4_1(X2))),inference(split_conjunct,[status(thm)],[16])).
% cnf(26,plain,(esk5_2(X2,X1)=X1|esk1_1(X2)=esk2_1(X2)|~in(X1,esk4_1(X2))),inference(split_conjunct,[status(thm)],[16])).
% cnf(27,plain,(in(esk5_2(X2,X1),X2)|~in(X1,esk4_1(X2))|esk2_1(X2)!=esk3_1(X2)),inference(split_conjunct,[status(thm)],[16])).
% cnf(29,plain,(in(esk5_2(X2,X1),X2)|esk1_1(X2)=esk3_1(X2)|~in(X1,esk4_1(X2))),inference(split_conjunct,[status(thm)],[16])).
% cnf(31,plain,(in(esk5_2(X2,X1),X2)|esk1_1(X2)=esk2_1(X2)|~in(X1,esk4_1(X2))),inference(split_conjunct,[status(thm)],[16])).
% cnf(32,plain,(in(X1,esk4_1(X2))|~ordinal(X1)|X3!=X1|~in(X3,X2)|esk2_1(X2)!=esk3_1(X2)),inference(split_conjunct,[status(thm)],[16])).
% cnf(34,plain,(in(X1,esk4_1(X2))|esk1_1(X2)=esk3_1(X2)|~ordinal(X1)|X3!=X1|~in(X3,X2)),inference(split_conjunct,[status(thm)],[16])).
% cnf(36,plain,(in(X1,esk4_1(X2))|esk1_1(X2)=esk2_1(X2)|~ordinal(X1)|X3!=X1|~in(X3,X2)),inference(split_conjunct,[status(thm)],[16])).
% fof(50, negated_conjecture,?[X1]:![X2]:?[X3]:((~(in(X3,X2))|(~(in(X3,X1))|~(ordinal(X3))))&(in(X3,X2)|(in(X3,X1)&ordinal(X3)))),inference(fof_nnf,[status(thm)],[7])).
% fof(51, negated_conjecture,?[X4]:![X5]:?[X6]:((~(in(X6,X5))|(~(in(X6,X4))|~(ordinal(X6))))&(in(X6,X5)|(in(X6,X4)&ordinal(X6)))),inference(variable_rename,[status(thm)],[50])).
% fof(52, negated_conjecture,![X5]:((~(in(esk8_1(X5),X5))|(~(in(esk8_1(X5),esk7_0))|~(ordinal(esk8_1(X5)))))&(in(esk8_1(X5),X5)|(in(esk8_1(X5),esk7_0)&ordinal(esk8_1(X5))))),inference(skolemize,[status(esa)],[51])).
% fof(53, negated_conjecture,![X5]:((~(in(esk8_1(X5),X5))|(~(in(esk8_1(X5),esk7_0))|~(ordinal(esk8_1(X5)))))&((in(esk8_1(X5),esk7_0)|in(esk8_1(X5),X5))&(ordinal(esk8_1(X5))|in(esk8_1(X5),X5)))),inference(distribute,[status(thm)],[52])).
% cnf(54,negated_conjecture,(in(esk8_1(X1),X1)|ordinal(esk8_1(X1))),inference(split_conjunct,[status(thm)],[53])).
% cnf(55,negated_conjecture,(in(esk8_1(X1),X1)|in(esk8_1(X1),esk7_0)),inference(split_conjunct,[status(thm)],[53])).
% cnf(56,negated_conjecture,(~ordinal(esk8_1(X1))|~in(esk8_1(X1),esk7_0)|~in(esk8_1(X1),X1)),inference(split_conjunct,[status(thm)],[53])).
% cnf(59,plain,(esk1_1(X1)=esk2_1(X1)|in(X2,esk4_1(X1))|~ordinal(X2)|~in(X2,X1)),inference(er,[status(thm)],[36,theory(equality)])).
% cnf(60,plain,(esk1_1(X1)=esk3_1(X1)|in(X2,esk4_1(X1))|~ordinal(X2)|~in(X2,X1)),inference(er,[status(thm)],[34,theory(equality)])).
% cnf(61,plain,(in(X1,esk4_1(X2))|esk3_1(X2)!=esk2_1(X2)|~ordinal(X1)|~in(X1,X2)),inference(er,[status(thm)],[32,theory(equality)])).
% cnf(74,negated_conjecture,(ordinal(esk8_1(esk4_1(X1)))|esk3_1(X1)!=esk2_1(X1)),inference(spm,[status(thm)],[17,54,theory(equality)])).
% cnf(80,negated_conjecture,(esk1_1(X1)=esk2_1(X1)|ordinal(esk8_1(esk4_1(X1)))),inference(spm,[status(thm)],[21,54,theory(equality)])).
% cnf(169,plain,(in(X2,X1)|esk3_1(X1)!=esk2_1(X1)|~in(X2,esk4_1(X1))),inference(spm,[status(thm)],[27,22,theory(equality)])).
% cnf(170,negated_conjecture,(esk1_1(esk7_0)=esk2_1(esk7_0)|in(esk8_1(X1),esk4_1(esk7_0))|in(esk8_1(X1),X1)|~ordinal(esk8_1(X1))),inference(spm,[status(thm)],[59,55,theory(equality)])).
% cnf(179,negated_conjecture,(esk1_1(esk7_0)=esk3_1(esk7_0)|in(esk8_1(X1),esk4_1(esk7_0))|in(esk8_1(X1),X1)|~ordinal(esk8_1(X1))),inference(spm,[status(thm)],[60,55,theory(equality)])).
% cnf(416,negated_conjecture,(in(esk8_1(esk4_1(X1)),X1)|in(esk8_1(esk4_1(X1)),esk7_0)|esk3_1(X1)!=esk2_1(X1)),inference(spm,[status(thm)],[169,55,theory(equality)])).
% cnf(863,negated_conjecture,(esk1_1(esk7_0)=esk2_1(esk7_0)|in(esk8_1(X1),esk4_1(esk7_0))|in(esk8_1(X1),X1)),inference(csr,[status(thm)],[170,54])).
% cnf(864,negated_conjecture,(esk1_1(esk7_0)=esk2_1(esk7_0)|in(esk8_1(esk4_1(esk7_0)),esk4_1(esk7_0))),inference(ef,[status(thm)],[863,theory(equality)])).
% cnf(921,negated_conjecture,(esk1_1(esk7_0)=esk2_1(esk7_0)|esk5_2(esk7_0,esk8_1(esk4_1(esk7_0)))=esk8_1(esk4_1(esk7_0))),inference(spm,[status(thm)],[26,864,theory(equality)])).
% cnf(928,negated_conjecture,(esk1_1(esk7_0)=esk2_1(esk7_0)|~ordinal(esk8_1(esk4_1(esk7_0)))|~in(esk8_1(esk4_1(esk7_0)),esk7_0)),inference(spm,[status(thm)],[56,864,theory(equality)])).
% cnf(942,negated_conjecture,(esk1_1(esk7_0)=esk2_1(esk7_0)|~in(esk8_1(esk4_1(esk7_0)),esk7_0)),inference(csr,[status(thm)],[928,80])).
% cnf(973,negated_conjecture,(esk1_1(esk7_0)=esk2_1(esk7_0)|in(esk8_1(esk4_1(esk7_0)),esk7_0)|~in(esk8_1(esk4_1(esk7_0)),esk4_1(esk7_0))),inference(spm,[status(thm)],[31,921,theory(equality)])).
% cnf(1142,negated_conjecture,(esk1_1(esk7_0)=esk3_1(esk7_0)|in(esk8_1(X1),esk4_1(esk7_0))|in(esk8_1(X1),X1)),inference(csr,[status(thm)],[179,54])).
% cnf(1143,negated_conjecture,(esk1_1(esk7_0)=esk3_1(esk7_0)|in(esk8_1(esk4_1(esk7_0)),esk4_1(esk7_0))),inference(ef,[status(thm)],[1142,theory(equality)])).
% cnf(1568,negated_conjecture,(esk1_1(esk7_0)=esk2_1(esk7_0)|in(esk8_1(esk4_1(esk7_0)),esk7_0)),inference(csr,[status(thm)],[973,55])).
% cnf(1569,negated_conjecture,(esk1_1(esk7_0)=esk2_1(esk7_0)),inference(csr,[status(thm)],[1568,942])).
% cnf(1590,negated_conjecture,(esk2_1(esk7_0)=esk3_1(esk7_0)|in(esk8_1(esk4_1(esk7_0)),esk4_1(esk7_0))),inference(rw,[status(thm)],[1143,1569,theory(equality)])).
% cnf(1592,negated_conjecture,(esk2_1(esk7_0)=esk3_1(esk7_0)|in(esk8_1(X1),esk4_1(esk7_0))|in(esk8_1(X1),X1)),inference(rw,[status(thm)],[1142,1569,theory(equality)])).
% cnf(1637,negated_conjecture,(esk1_1(esk7_0)=esk3_1(esk7_0)|ordinal(esk8_1(esk4_1(esk7_0)))|esk3_1(esk7_0)=esk2_1(esk7_0)),inference(spm,[status(thm)],[19,1590,theory(equality)])).
% cnf(1641,negated_conjecture,(esk1_1(esk7_0)=esk3_1(esk7_0)|esk5_2(esk7_0,esk8_1(esk4_1(esk7_0)))=esk8_1(esk4_1(esk7_0))|esk3_1(esk7_0)=esk2_1(esk7_0)),inference(spm,[status(thm)],[24,1590,theory(equality)])).
% cnf(1649,negated_conjecture,(esk2_1(esk7_0)=esk3_1(esk7_0)|ordinal(esk8_1(esk4_1(esk7_0)))|esk3_1(esk7_0)=esk2_1(esk7_0)),inference(rw,[status(thm)],[1637,1569,theory(equality)])).
% cnf(1650,negated_conjecture,(esk2_1(esk7_0)=esk3_1(esk7_0)|ordinal(esk8_1(esk4_1(esk7_0)))),inference(cn,[status(thm)],[1649,theory(equality)])).
% cnf(1654,negated_conjecture,(esk2_1(esk7_0)=esk3_1(esk7_0)|esk5_2(esk7_0,esk8_1(esk4_1(esk7_0)))=esk8_1(esk4_1(esk7_0))|esk3_1(esk7_0)=esk2_1(esk7_0)),inference(rw,[status(thm)],[1641,1569,theory(equality)])).
% cnf(1655,negated_conjecture,(esk2_1(esk7_0)=esk3_1(esk7_0)|esk5_2(esk7_0,esk8_1(esk4_1(esk7_0)))=esk8_1(esk4_1(esk7_0))),inference(cn,[status(thm)],[1654,theory(equality)])).
% cnf(1660,negated_conjecture,(ordinal(esk8_1(esk4_1(esk7_0)))),inference(csr,[status(thm)],[1650,74])).
% cnf(1662,negated_conjecture,(esk1_1(esk7_0)=esk3_1(esk7_0)|in(esk8_1(esk4_1(esk7_0)),esk7_0)|esk3_1(esk7_0)=esk2_1(esk7_0)|~in(esk8_1(esk4_1(esk7_0)),esk4_1(esk7_0))),inference(spm,[status(thm)],[29,1655,theory(equality)])).
% cnf(1674,negated_conjecture,(esk2_1(esk7_0)=esk3_1(esk7_0)|in(esk8_1(esk4_1(esk7_0)),esk7_0)|esk3_1(esk7_0)=esk2_1(esk7_0)|~in(esk8_1(esk4_1(esk7_0)),esk4_1(esk7_0))),inference(rw,[status(thm)],[1662,1569,theory(equality)])).
% cnf(1675,negated_conjecture,(esk2_1(esk7_0)=esk3_1(esk7_0)|in(esk8_1(esk4_1(esk7_0)),esk7_0)|~in(esk8_1(esk4_1(esk7_0)),esk4_1(esk7_0))),inference(cn,[status(thm)],[1674,theory(equality)])).
% cnf(1715,negated_conjecture,(esk3_1(esk7_0)=esk2_1(esk7_0)|in(esk8_1(X1),esk4_1(esk7_0))|~ordinal(esk8_1(X1))|~in(esk8_1(X1),esk7_0)),inference(spm,[status(thm)],[56,1592,theory(equality)])).
% cnf(1831,negated_conjecture,(in(esk8_1(X1),esk4_1(esk7_0))|~ordinal(esk8_1(X1))|~in(esk8_1(X1),esk7_0)),inference(csr,[status(thm)],[1715,61])).
% cnf(1850,negated_conjecture,(~ordinal(esk8_1(esk4_1(esk7_0)))|~in(esk8_1(esk4_1(esk7_0)),esk7_0)),inference(spm,[status(thm)],[56,1831,theory(equality)])).
% cnf(1861,negated_conjecture,($false|~in(esk8_1(esk4_1(esk7_0)),esk7_0)),inference(rw,[status(thm)],[1850,1660,theory(equality)])).
% cnf(1862,negated_conjecture,(~in(esk8_1(esk4_1(esk7_0)),esk7_0)),inference(cn,[status(thm)],[1861,theory(equality)])).
% cnf(1916,negated_conjecture,(esk3_1(esk7_0)=esk2_1(esk7_0)|~in(esk8_1(esk4_1(esk7_0)),esk4_1(esk7_0))),inference(sr,[status(thm)],[1675,1862,theory(equality)])).
% cnf(1917,negated_conjecture,(esk3_1(esk7_0)=esk2_1(esk7_0)),inference(csr,[status(thm)],[1916,1590])).
% cnf(2654,negated_conjecture,(in(esk8_1(esk4_1(esk7_0)),esk7_0)),inference(spm,[status(thm)],[416,1917,theory(equality)])).
% cnf(2655,negated_conjecture,($false),inference(sr,[status(thm)],[2654,1862,theory(equality)])).
% cnf(2656,negated_conjecture,($false),2655,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 478
% # ...of these trivial                : 5
% # ...subsumed                        : 241
% # ...remaining for further processing: 232
% # Other redundant clauses eliminated : 5
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 4
% # Backward-rewritten                 : 49
% # Generated clauses                  : 1833
% # ...of the previous two non-trivial : 1445
% # Contextual simplify-reflections    : 413
% # Paramodulations                    : 1812
% # Factorizations                     : 16
% # Equation resolutions               : 5
% # Current number of processed clauses: 144
% #    Positive orientable unit clauses: 9
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 4
% #    Non-unit-clauses                : 131
% # Current number of unprocessed clauses: 726
% # ...number of literals in the above : 3804
% # Clause-clause subsumption calls (NU) : 3440
% # Rec. Clause-clause subsumption calls : 2286
% # Unit Clause-clause subsumption calls : 25
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 7
% # Indexed BW rewrite successes       : 5
% # Backwards rewriting index:    70 leaves,   1.19+/-0.424 terms/leaf
% # Paramod-from index:           28 leaves,   1.07+/-0.258 terms/leaf
% # Paramod-into index:           58 leaves,   1.14+/-0.392 terms/leaf
% # -------------------------------------------------
% # User time              : 0.082 s
% # System time            : 0.007 s
% # Total time             : 0.089 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.19 CPU 0.28 WC
% FINAL PrfWatch: 0.19 CPU 0.28 WC
% SZS output end Solution for /tmp/SystemOnTPTP16817/SEU280+1.tptp
% 
%------------------------------------------------------------------------------