TSTP Solution File: SEU272+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU272+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 : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Thu Dec 30 02:52:36 EST 2010
% Result : Theorem 1.34s
% Output : Solution 1.34s
% 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/SystemOnTPTP16252/SEU272+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP16252/SEU272+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP16252/SEU272+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 16384
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.015 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:![X2]:(ordinal(X2)=>(![X3]:![X4]:![X5]:((((X3=X4&?[X6]:((ordinal(X6)&X4=X6)&in(X6,X1)))&X3=X5)&?[X7]:((ordinal(X7)&X5=X7)&in(X7,X1)))=>X4=X5)=>?[X3]:![X4]:(in(X4,X3)<=>?[X5]:((in(X5,succ(X2))&X5=X4)&?[X8]:((ordinal(X8)&X4=X8)&in(X8,X1)))))),file('/tmp/SRASS.s.p', s1_tarski__e8_6__wellord2__1)).
% fof(14, conjecture,![X1]:![X2]:(ordinal(X2)=>?[X3]:![X4]:(in(X4,X3)<=>(in(X4,succ(X2))&?[X5]:((ordinal(X5)&X4=X5)&in(X5,X1))))),file('/tmp/SRASS.s.p', s1_xboole_0__e8_6__wellord2__1)).
% fof(15, negated_conjecture,~(![X1]:![X2]:(ordinal(X2)=>?[X3]:![X4]:(in(X4,X3)<=>(in(X4,succ(X2))&?[X5]:((ordinal(X5)&X4=X5)&in(X5,X1)))))),inference(assume_negation,[status(cth)],[14])).
% fof(24, plain,![X1]:![X2]:(~(ordinal(X2))|(?[X3]:?[X4]:?[X5]:((((X3=X4&?[X6]:((ordinal(X6)&X4=X6)&in(X6,X1)))&X3=X5)&?[X7]:((ordinal(X7)&X5=X7)&in(X7,X1)))&~(X4=X5))|?[X3]:![X4]:((~(in(X4,X3))|?[X5]:((in(X5,succ(X2))&X5=X4)&?[X8]:((ordinal(X8)&X4=X8)&in(X8,X1))))&(![X5]:((~(in(X5,succ(X2)))|~(X5=X4))|![X8]:((~(ordinal(X8))|~(X4=X8))|~(in(X8,X1))))|in(X4,X3))))),inference(fof_nnf,[status(thm)],[2])).
% fof(25, plain,![X9]:![X10]:(~(ordinal(X10))|(?[X11]:?[X12]:?[X13]:((((X11=X12&?[X14]:((ordinal(X14)&X12=X14)&in(X14,X9)))&X11=X13)&?[X15]:((ordinal(X15)&X13=X15)&in(X15,X9)))&~(X12=X13))|?[X16]:![X17]:((~(in(X17,X16))|?[X18]:((in(X18,succ(X10))&X18=X17)&?[X19]:((ordinal(X19)&X17=X19)&in(X19,X9))))&(![X20]:((~(in(X20,succ(X10)))|~(X20=X17))|![X21]:((~(ordinal(X21))|~(X17=X21))|~(in(X21,X9))))|in(X17,X16))))),inference(variable_rename,[status(thm)],[24])).
% fof(26, plain,![X9]:![X10]:(~(ordinal(X10))|(((((esk1_2(X9,X10)=esk2_2(X9,X10)&((ordinal(esk4_2(X9,X10))&esk2_2(X9,X10)=esk4_2(X9,X10))&in(esk4_2(X9,X10),X9)))&esk1_2(X9,X10)=esk3_2(X9,X10))&((ordinal(esk5_2(X9,X10))&esk3_2(X9,X10)=esk5_2(X9,X10))&in(esk5_2(X9,X10),X9)))&~(esk2_2(X9,X10)=esk3_2(X9,X10)))|![X17]:((~(in(X17,esk6_2(X9,X10)))|((in(esk7_3(X9,X10,X17),succ(X10))&esk7_3(X9,X10,X17)=X17)&((ordinal(esk8_3(X9,X10,X17))&X17=esk8_3(X9,X10,X17))&in(esk8_3(X9,X10,X17),X9))))&(![X20]:((~(in(X20,succ(X10)))|~(X20=X17))|![X21]:((~(ordinal(X21))|~(X17=X21))|~(in(X21,X9))))|in(X17,esk6_2(X9,X10)))))),inference(skolemize,[status(esa)],[25])).
% fof(27, plain,![X9]:![X10]:![X17]:![X20]:![X21]:(((((((~(ordinal(X21))|~(X17=X21))|~(in(X21,X9)))|(~(in(X20,succ(X10)))|~(X20=X17)))|in(X17,esk6_2(X9,X10)))&(~(in(X17,esk6_2(X9,X10)))|((in(esk7_3(X9,X10,X17),succ(X10))&esk7_3(X9,X10,X17)=X17)&((ordinal(esk8_3(X9,X10,X17))&X17=esk8_3(X9,X10,X17))&in(esk8_3(X9,X10,X17),X9)))))|((((esk1_2(X9,X10)=esk2_2(X9,X10)&((ordinal(esk4_2(X9,X10))&esk2_2(X9,X10)=esk4_2(X9,X10))&in(esk4_2(X9,X10),X9)))&esk1_2(X9,X10)=esk3_2(X9,X10))&((ordinal(esk5_2(X9,X10))&esk3_2(X9,X10)=esk5_2(X9,X10))&in(esk5_2(X9,X10),X9)))&~(esk2_2(X9,X10)=esk3_2(X9,X10))))|~(ordinal(X10))),inference(shift_quantors,[status(thm)],[26])).
% fof(28, plain,![X9]:![X10]:![X17]:![X20]:![X21]:(((((((esk1_2(X9,X10)=esk2_2(X9,X10)|((((~(ordinal(X21))|~(X17=X21))|~(in(X21,X9)))|(~(in(X20,succ(X10)))|~(X20=X17)))|in(X17,esk6_2(X9,X10))))|~(ordinal(X10)))&((((ordinal(esk4_2(X9,X10))|((((~(ordinal(X21))|~(X17=X21))|~(in(X21,X9)))|(~(in(X20,succ(X10)))|~(X20=X17)))|in(X17,esk6_2(X9,X10))))|~(ordinal(X10)))&((esk2_2(X9,X10)=esk4_2(X9,X10)|((((~(ordinal(X21))|~(X17=X21))|~(in(X21,X9)))|(~(in(X20,succ(X10)))|~(X20=X17)))|in(X17,esk6_2(X9,X10))))|~(ordinal(X10))))&((in(esk4_2(X9,X10),X9)|((((~(ordinal(X21))|~(X17=X21))|~(in(X21,X9)))|(~(in(X20,succ(X10)))|~(X20=X17)))|in(X17,esk6_2(X9,X10))))|~(ordinal(X10)))))&((esk1_2(X9,X10)=esk3_2(X9,X10)|((((~(ordinal(X21))|~(X17=X21))|~(in(X21,X9)))|(~(in(X20,succ(X10)))|~(X20=X17)))|in(X17,esk6_2(X9,X10))))|~(ordinal(X10))))&((((ordinal(esk5_2(X9,X10))|((((~(ordinal(X21))|~(X17=X21))|~(in(X21,X9)))|(~(in(X20,succ(X10)))|~(X20=X17)))|in(X17,esk6_2(X9,X10))))|~(ordinal(X10)))&((esk3_2(X9,X10)=esk5_2(X9,X10)|((((~(ordinal(X21))|~(X17=X21))|~(in(X21,X9)))|(~(in(X20,succ(X10)))|~(X20=X17)))|in(X17,esk6_2(X9,X10))))|~(ordinal(X10))))&((in(esk5_2(X9,X10),X9)|((((~(ordinal(X21))|~(X17=X21))|~(in(X21,X9)))|(~(in(X20,succ(X10)))|~(X20=X17)))|in(X17,esk6_2(X9,X10))))|~(ordinal(X10)))))&((~(esk2_2(X9,X10)=esk3_2(X9,X10))|((((~(ordinal(X21))|~(X17=X21))|~(in(X21,X9)))|(~(in(X20,succ(X10)))|~(X20=X17)))|in(X17,esk6_2(X9,X10))))|~(ordinal(X10))))&((((((((esk1_2(X9,X10)=esk2_2(X9,X10)|(in(esk7_3(X9,X10,X17),succ(X10))|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))&((((ordinal(esk4_2(X9,X10))|(in(esk7_3(X9,X10,X17),succ(X10))|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))&((esk2_2(X9,X10)=esk4_2(X9,X10)|(in(esk7_3(X9,X10,X17),succ(X10))|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10))))&((in(esk4_2(X9,X10),X9)|(in(esk7_3(X9,X10,X17),succ(X10))|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))))&((esk1_2(X9,X10)=esk3_2(X9,X10)|(in(esk7_3(X9,X10,X17),succ(X10))|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10))))&((((ordinal(esk5_2(X9,X10))|(in(esk7_3(X9,X10,X17),succ(X10))|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))&((esk3_2(X9,X10)=esk5_2(X9,X10)|(in(esk7_3(X9,X10,X17),succ(X10))|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10))))&((in(esk5_2(X9,X10),X9)|(in(esk7_3(X9,X10,X17),succ(X10))|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))))&((~(esk2_2(X9,X10)=esk3_2(X9,X10))|(in(esk7_3(X9,X10,X17),succ(X10))|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10))))&((((((esk1_2(X9,X10)=esk2_2(X9,X10)|(esk7_3(X9,X10,X17)=X17|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))&((((ordinal(esk4_2(X9,X10))|(esk7_3(X9,X10,X17)=X17|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))&((esk2_2(X9,X10)=esk4_2(X9,X10)|(esk7_3(X9,X10,X17)=X17|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10))))&((in(esk4_2(X9,X10),X9)|(esk7_3(X9,X10,X17)=X17|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))))&((esk1_2(X9,X10)=esk3_2(X9,X10)|(esk7_3(X9,X10,X17)=X17|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10))))&((((ordinal(esk5_2(X9,X10))|(esk7_3(X9,X10,X17)=X17|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))&((esk3_2(X9,X10)=esk5_2(X9,X10)|(esk7_3(X9,X10,X17)=X17|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10))))&((in(esk5_2(X9,X10),X9)|(esk7_3(X9,X10,X17)=X17|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))))&((~(esk2_2(X9,X10)=esk3_2(X9,X10))|(esk7_3(X9,X10,X17)=X17|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))))&((((((((esk1_2(X9,X10)=esk2_2(X9,X10)|(ordinal(esk8_3(X9,X10,X17))|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))&((((ordinal(esk4_2(X9,X10))|(ordinal(esk8_3(X9,X10,X17))|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))&((esk2_2(X9,X10)=esk4_2(X9,X10)|(ordinal(esk8_3(X9,X10,X17))|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10))))&((in(esk4_2(X9,X10),X9)|(ordinal(esk8_3(X9,X10,X17))|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))))&((esk1_2(X9,X10)=esk3_2(X9,X10)|(ordinal(esk8_3(X9,X10,X17))|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10))))&((((ordinal(esk5_2(X9,X10))|(ordinal(esk8_3(X9,X10,X17))|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))&((esk3_2(X9,X10)=esk5_2(X9,X10)|(ordinal(esk8_3(X9,X10,X17))|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10))))&((in(esk5_2(X9,X10),X9)|(ordinal(esk8_3(X9,X10,X17))|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))))&((~(esk2_2(X9,X10)=esk3_2(X9,X10))|(ordinal(esk8_3(X9,X10,X17))|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10))))&((((((esk1_2(X9,X10)=esk2_2(X9,X10)|(X17=esk8_3(X9,X10,X17)|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))&((((ordinal(esk4_2(X9,X10))|(X17=esk8_3(X9,X10,X17)|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))&((esk2_2(X9,X10)=esk4_2(X9,X10)|(X17=esk8_3(X9,X10,X17)|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10))))&((in(esk4_2(X9,X10),X9)|(X17=esk8_3(X9,X10,X17)|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))))&((esk1_2(X9,X10)=esk3_2(X9,X10)|(X17=esk8_3(X9,X10,X17)|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10))))&((((ordinal(esk5_2(X9,X10))|(X17=esk8_3(X9,X10,X17)|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))&((esk3_2(X9,X10)=esk5_2(X9,X10)|(X17=esk8_3(X9,X10,X17)|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10))))&((in(esk5_2(X9,X10),X9)|(X17=esk8_3(X9,X10,X17)|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))))&((~(esk2_2(X9,X10)=esk3_2(X9,X10))|(X17=esk8_3(X9,X10,X17)|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))))&((((((esk1_2(X9,X10)=esk2_2(X9,X10)|(in(esk8_3(X9,X10,X17),X9)|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))&((((ordinal(esk4_2(X9,X10))|(in(esk8_3(X9,X10,X17),X9)|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))&((esk2_2(X9,X10)=esk4_2(X9,X10)|(in(esk8_3(X9,X10,X17),X9)|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10))))&((in(esk4_2(X9,X10),X9)|(in(esk8_3(X9,X10,X17),X9)|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))))&((esk1_2(X9,X10)=esk3_2(X9,X10)|(in(esk8_3(X9,X10,X17),X9)|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10))))&((((ordinal(esk5_2(X9,X10))|(in(esk8_3(X9,X10,X17),X9)|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))&((esk3_2(X9,X10)=esk5_2(X9,X10)|(in(esk8_3(X9,X10,X17),X9)|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10))))&((in(esk5_2(X9,X10),X9)|(in(esk8_3(X9,X10,X17),X9)|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10)))))&((~(esk2_2(X9,X10)=esk3_2(X9,X10))|(in(esk8_3(X9,X10,X17),X9)|~(in(X17,esk6_2(X9,X10)))))|~(ordinal(X10))))))),inference(distribute,[status(thm)],[27])).
% cnf(29,plain,(in(esk8_3(X3,X1,X2),X3)|~ordinal(X1)|~in(X2,esk6_2(X3,X1))|esk2_2(X3,X1)!=esk3_2(X3,X1)),inference(split_conjunct,[status(thm)],[28])).
% cnf(33,plain,(in(esk8_3(X3,X1,X2),X3)|esk1_2(X3,X1)=esk3_2(X3,X1)|~ordinal(X1)|~in(X2,esk6_2(X3,X1))),inference(split_conjunct,[status(thm)],[28])).
% cnf(37,plain,(in(esk8_3(X3,X1,X2),X3)|esk1_2(X3,X1)=esk2_2(X3,X1)|~ordinal(X1)|~in(X2,esk6_2(X3,X1))),inference(split_conjunct,[status(thm)],[28])).
% cnf(38,plain,(X2=esk8_3(X3,X1,X2)|~ordinal(X1)|~in(X2,esk6_2(X3,X1))|esk2_2(X3,X1)!=esk3_2(X3,X1)),inference(split_conjunct,[status(thm)],[28])).
% cnf(42,plain,(X2=esk8_3(X3,X1,X2)|esk1_2(X3,X1)=esk3_2(X3,X1)|~ordinal(X1)|~in(X2,esk6_2(X3,X1))),inference(split_conjunct,[status(thm)],[28])).
% cnf(46,plain,(X2=esk8_3(X3,X1,X2)|esk1_2(X3,X1)=esk2_2(X3,X1)|~ordinal(X1)|~in(X2,esk6_2(X3,X1))),inference(split_conjunct,[status(thm)],[28])).
% cnf(47,plain,(ordinal(esk8_3(X3,X1,X2))|~ordinal(X1)|~in(X2,esk6_2(X3,X1))|esk2_2(X3,X1)!=esk3_2(X3,X1)),inference(split_conjunct,[status(thm)],[28])).
% cnf(51,plain,(ordinal(esk8_3(X3,X1,X2))|esk1_2(X3,X1)=esk3_2(X3,X1)|~ordinal(X1)|~in(X2,esk6_2(X3,X1))),inference(split_conjunct,[status(thm)],[28])).
% cnf(55,plain,(ordinal(esk8_3(X3,X1,X2))|esk1_2(X3,X1)=esk2_2(X3,X1)|~ordinal(X1)|~in(X2,esk6_2(X3,X1))),inference(split_conjunct,[status(thm)],[28])).
% cnf(56,plain,(esk7_3(X3,X1,X2)=X2|~ordinal(X1)|~in(X2,esk6_2(X3,X1))|esk2_2(X3,X1)!=esk3_2(X3,X1)),inference(split_conjunct,[status(thm)],[28])).
% cnf(60,plain,(esk7_3(X3,X1,X2)=X2|esk1_2(X3,X1)=esk3_2(X3,X1)|~ordinal(X1)|~in(X2,esk6_2(X3,X1))),inference(split_conjunct,[status(thm)],[28])).
% cnf(64,plain,(esk7_3(X3,X1,X2)=X2|esk1_2(X3,X1)=esk2_2(X3,X1)|~ordinal(X1)|~in(X2,esk6_2(X3,X1))),inference(split_conjunct,[status(thm)],[28])).
% cnf(65,plain,(in(esk7_3(X3,X1,X2),succ(X1))|~ordinal(X1)|~in(X2,esk6_2(X3,X1))|esk2_2(X3,X1)!=esk3_2(X3,X1)),inference(split_conjunct,[status(thm)],[28])).
% cnf(69,plain,(in(esk7_3(X3,X1,X2),succ(X1))|esk1_2(X3,X1)=esk3_2(X3,X1)|~ordinal(X1)|~in(X2,esk6_2(X3,X1))),inference(split_conjunct,[status(thm)],[28])).
% cnf(73,plain,(in(esk7_3(X3,X1,X2),succ(X1))|esk1_2(X3,X1)=esk2_2(X3,X1)|~ordinal(X1)|~in(X2,esk6_2(X3,X1))),inference(split_conjunct,[status(thm)],[28])).
% cnf(74,plain,(in(X2,esk6_2(X3,X1))|~ordinal(X1)|X4!=X2|~in(X4,succ(X1))|~in(X5,X3)|X2!=X5|~ordinal(X5)|esk2_2(X3,X1)!=esk3_2(X3,X1)),inference(split_conjunct,[status(thm)],[28])).
% cnf(78,plain,(in(X2,esk6_2(X3,X1))|esk1_2(X3,X1)=esk3_2(X3,X1)|~ordinal(X1)|X4!=X2|~in(X4,succ(X1))|~in(X5,X3)|X2!=X5|~ordinal(X5)),inference(split_conjunct,[status(thm)],[28])).
% cnf(82,plain,(in(X2,esk6_2(X3,X1))|esk1_2(X3,X1)=esk2_2(X3,X1)|~ordinal(X1)|X4!=X2|~in(X4,succ(X1))|~in(X5,X3)|X2!=X5|~ordinal(X5)),inference(split_conjunct,[status(thm)],[28])).
% fof(127, negated_conjecture,?[X1]:?[X2]:(ordinal(X2)&![X3]:?[X4]:((~(in(X4,X3))|(~(in(X4,succ(X2)))|![X5]:((~(ordinal(X5))|~(X4=X5))|~(in(X5,X1)))))&(in(X4,X3)|(in(X4,succ(X2))&?[X5]:((ordinal(X5)&X4=X5)&in(X5,X1)))))),inference(fof_nnf,[status(thm)],[15])).
% fof(128, negated_conjecture,?[X6]:?[X7]:(ordinal(X7)&![X8]:?[X9]:((~(in(X9,X8))|(~(in(X9,succ(X7)))|![X10]:((~(ordinal(X10))|~(X9=X10))|~(in(X10,X6)))))&(in(X9,X8)|(in(X9,succ(X7))&?[X11]:((ordinal(X11)&X9=X11)&in(X11,X6)))))),inference(variable_rename,[status(thm)],[127])).
% fof(129, negated_conjecture,(ordinal(esk14_0)&![X8]:((~(in(esk15_1(X8),X8))|(~(in(esk15_1(X8),succ(esk14_0)))|![X10]:((~(ordinal(X10))|~(esk15_1(X8)=X10))|~(in(X10,esk13_0)))))&(in(esk15_1(X8),X8)|(in(esk15_1(X8),succ(esk14_0))&((ordinal(esk16_1(X8))&esk15_1(X8)=esk16_1(X8))&in(esk16_1(X8),esk13_0)))))),inference(skolemize,[status(esa)],[128])).
% fof(130, negated_conjecture,![X8]:![X10]:((((((~(ordinal(X10))|~(esk15_1(X8)=X10))|~(in(X10,esk13_0)))|~(in(esk15_1(X8),succ(esk14_0))))|~(in(esk15_1(X8),X8)))&(in(esk15_1(X8),X8)|(in(esk15_1(X8),succ(esk14_0))&((ordinal(esk16_1(X8))&esk15_1(X8)=esk16_1(X8))&in(esk16_1(X8),esk13_0)))))&ordinal(esk14_0)),inference(shift_quantors,[status(thm)],[129])).
% fof(131, negated_conjecture,![X8]:![X10]:((((((~(ordinal(X10))|~(esk15_1(X8)=X10))|~(in(X10,esk13_0)))|~(in(esk15_1(X8),succ(esk14_0))))|~(in(esk15_1(X8),X8)))&((in(esk15_1(X8),succ(esk14_0))|in(esk15_1(X8),X8))&(((ordinal(esk16_1(X8))|in(esk15_1(X8),X8))&(esk15_1(X8)=esk16_1(X8)|in(esk15_1(X8),X8)))&(in(esk16_1(X8),esk13_0)|in(esk15_1(X8),X8)))))&ordinal(esk14_0)),inference(distribute,[status(thm)],[130])).
% cnf(132,negated_conjecture,(ordinal(esk14_0)),inference(split_conjunct,[status(thm)],[131])).
% cnf(133,negated_conjecture,(in(esk15_1(X1),X1)|in(esk16_1(X1),esk13_0)),inference(split_conjunct,[status(thm)],[131])).
% cnf(134,negated_conjecture,(in(esk15_1(X1),X1)|esk15_1(X1)=esk16_1(X1)),inference(split_conjunct,[status(thm)],[131])).
% cnf(135,negated_conjecture,(in(esk15_1(X1),X1)|ordinal(esk16_1(X1))),inference(split_conjunct,[status(thm)],[131])).
% cnf(136,negated_conjecture,(in(esk15_1(X1),X1)|in(esk15_1(X1),succ(esk14_0))),inference(split_conjunct,[status(thm)],[131])).
% cnf(137,negated_conjecture,(~in(esk15_1(X1),X1)|~in(esk15_1(X1),succ(esk14_0))|~in(X2,esk13_0)|esk15_1(X1)!=X2|~ordinal(X2)),inference(split_conjunct,[status(thm)],[131])).
% cnf(138,negated_conjecture,(~ordinal(esk15_1(X1))|~in(esk15_1(X1),succ(esk14_0))|~in(esk15_1(X1),X1)|~in(esk15_1(X1),esk13_0)),inference(er,[status(thm)],[137,theory(equality)])).
% cnf(153,negated_conjecture,(ordinal(esk15_1(X1))|in(esk15_1(X1),X1)),inference(spm,[status(thm)],[135,134,theory(equality)])).
% cnf(156,negated_conjecture,(in(esk15_1(X1),esk13_0)|in(esk15_1(X1),X1)),inference(spm,[status(thm)],[133,134,theory(equality)])).
% cnf(233,plain,(esk1_2(X1,X2)=esk2_2(X1,X2)|in(X3,esk6_2(X1,X2))|X3!=X4|~ordinal(X3)|~ordinal(X2)|~in(X4,succ(X2))|~in(X3,X1)),inference(er,[status(thm)],[82,theory(equality)])).
% cnf(234,plain,(esk1_2(X1,X2)=esk2_2(X1,X2)|in(X3,esk6_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,succ(X2))|~in(X3,X1)),inference(er,[status(thm)],[233,theory(equality)])).
% cnf(323,plain,(esk1_2(X1,X2)=esk3_2(X1,X2)|in(X3,esk6_2(X1,X2))|X3!=X4|~ordinal(X3)|~ordinal(X2)|~in(X4,succ(X2))|~in(X3,X1)),inference(er,[status(thm)],[78,theory(equality)])).
% cnf(324,plain,(esk1_2(X1,X2)=esk3_2(X1,X2)|in(X3,esk6_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,succ(X2))|~in(X3,X1)),inference(er,[status(thm)],[323,theory(equality)])).
% cnf(337,plain,(in(X1,esk6_2(X2,X3))|esk3_2(X2,X3)!=esk2_2(X2,X3)|X1!=X4|~ordinal(X1)|~ordinal(X3)|~in(X4,succ(X3))|~in(X1,X2)),inference(er,[status(thm)],[74,theory(equality)])).
% cnf(338,plain,(in(X1,esk6_2(X2,X3))|esk3_2(X2,X3)!=esk2_2(X2,X3)|~ordinal(X1)|~ordinal(X3)|~in(X1,succ(X3))|~in(X1,X2)),inference(er,[status(thm)],[337,theory(equality)])).
% cnf(357,negated_conjecture,(esk1_2(X1,X2)=esk2_2(X1,X2)|ordinal(esk8_3(X1,X2,esk15_1(esk6_2(X1,X2))))|ordinal(esk15_1(esk6_2(X1,X2)))|~ordinal(X2)),inference(spm,[status(thm)],[55,153,theory(equality)])).
% cnf(358,negated_conjecture,(esk1_2(X1,X2)=esk3_2(X1,X2)|ordinal(esk8_3(X1,X2,esk15_1(esk6_2(X1,X2))))|ordinal(esk15_1(esk6_2(X1,X2)))|~ordinal(X2)),inference(spm,[status(thm)],[51,153,theory(equality)])).
% cnf(439,negated_conjecture,(in(esk15_1(X1),esk6_2(X2,esk14_0))|in(esk15_1(X1),X1)|esk3_2(X2,esk14_0)!=esk2_2(X2,esk14_0)|~ordinal(esk15_1(X1))|~ordinal(esk14_0)|~in(esk15_1(X1),X2)),inference(spm,[status(thm)],[338,136,theory(equality)])).
% cnf(442,negated_conjecture,(in(esk15_1(X1),esk6_2(X2,esk14_0))|in(esk15_1(X1),X1)|esk3_2(X2,esk14_0)!=esk2_2(X2,esk14_0)|~ordinal(esk15_1(X1))|$false|~in(esk15_1(X1),X2)),inference(rw,[status(thm)],[439,132,theory(equality)])).
% cnf(443,negated_conjecture,(in(esk15_1(X1),esk6_2(X2,esk14_0))|in(esk15_1(X1),X1)|esk3_2(X2,esk14_0)!=esk2_2(X2,esk14_0)|~ordinal(esk15_1(X1))|~in(esk15_1(X1),X2)),inference(cn,[status(thm)],[442,theory(equality)])).
% cnf(475,negated_conjecture,(esk1_2(X1,esk14_0)=esk2_2(X1,esk14_0)|in(esk15_1(X2),esk6_2(X1,esk14_0))|in(esk15_1(X2),X2)|~ordinal(esk15_1(X2))|~ordinal(esk14_0)|~in(esk15_1(X2),X1)),inference(spm,[status(thm)],[234,136,theory(equality)])).
% cnf(478,negated_conjecture,(esk1_2(X1,esk14_0)=esk2_2(X1,esk14_0)|in(esk15_1(X2),esk6_2(X1,esk14_0))|in(esk15_1(X2),X2)|~ordinal(esk15_1(X2))|$false|~in(esk15_1(X2),X1)),inference(rw,[status(thm)],[475,132,theory(equality)])).
% cnf(479,negated_conjecture,(esk1_2(X1,esk14_0)=esk2_2(X1,esk14_0)|in(esk15_1(X2),esk6_2(X1,esk14_0))|in(esk15_1(X2),X2)|~ordinal(esk15_1(X2))|~in(esk15_1(X2),X1)),inference(cn,[status(thm)],[478,theory(equality)])).
% cnf(487,negated_conjecture,(esk1_2(X1,esk14_0)=esk3_2(X1,esk14_0)|in(esk15_1(X2),esk6_2(X1,esk14_0))|in(esk15_1(X2),X2)|~ordinal(esk15_1(X2))|~ordinal(esk14_0)|~in(esk15_1(X2),X1)),inference(spm,[status(thm)],[324,136,theory(equality)])).
% cnf(490,negated_conjecture,(esk1_2(X1,esk14_0)=esk3_2(X1,esk14_0)|in(esk15_1(X2),esk6_2(X1,esk14_0))|in(esk15_1(X2),X2)|~ordinal(esk15_1(X2))|$false|~in(esk15_1(X2),X1)),inference(rw,[status(thm)],[487,132,theory(equality)])).
% cnf(491,negated_conjecture,(esk1_2(X1,esk14_0)=esk3_2(X1,esk14_0)|in(esk15_1(X2),esk6_2(X1,esk14_0))|in(esk15_1(X2),X2)|~ordinal(esk15_1(X2))|~in(esk15_1(X2),X1)),inference(cn,[status(thm)],[490,theory(equality)])).
% cnf(540,negated_conjecture,(in(esk15_1(X1),esk6_2(X2,esk14_0))|in(esk15_1(X1),X1)|esk3_2(X2,esk14_0)!=esk2_2(X2,esk14_0)|~in(esk15_1(X1),X2)),inference(csr,[status(thm)],[443,153])).
% cnf(542,negated_conjecture,(in(esk15_1(X1),esk6_2(esk13_0,esk14_0))|in(esk15_1(X1),X1)|esk3_2(esk13_0,esk14_0)!=esk2_2(esk13_0,esk14_0)),inference(spm,[status(thm)],[540,156,theory(equality)])).
% cnf(667,negated_conjecture,(esk1_2(X1,esk14_0)=esk2_2(X1,esk14_0)|in(esk15_1(X2),esk6_2(X1,esk14_0))|in(esk15_1(X2),X2)|~in(esk15_1(X2),X1)),inference(csr,[status(thm)],[479,153])).
% cnf(669,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|in(esk15_1(X1),esk6_2(esk13_0,esk14_0))|in(esk15_1(X1),X1)),inference(spm,[status(thm)],[667,156,theory(equality)])).
% cnf(680,negated_conjecture,(esk1_2(X1,esk14_0)=esk3_2(X1,esk14_0)|in(esk15_1(X2),esk6_2(X1,esk14_0))|in(esk15_1(X2),X2)|~in(esk15_1(X2),X1)),inference(csr,[status(thm)],[491,153])).
% cnf(682,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk3_2(esk13_0,esk14_0)|in(esk15_1(X1),esk6_2(esk13_0,esk14_0))|in(esk15_1(X1),X1)),inference(spm,[status(thm)],[680,156,theory(equality)])).
% cnf(719,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|in(esk15_1(esk6_2(esk13_0,esk14_0)),esk6_2(esk13_0,esk14_0))),inference(ef,[status(thm)],[669,theory(equality)])).
% cnf(911,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|esk7_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0)))=esk15_1(esk6_2(esk13_0,esk14_0))|~ordinal(esk14_0)),inference(spm,[status(thm)],[64,719,theory(equality)])).
% cnf(915,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|esk8_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0)))=esk15_1(esk6_2(esk13_0,esk14_0))|~ordinal(esk14_0)),inference(spm,[status(thm)],[46,719,theory(equality)])).
% cnf(933,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|in(esk8_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0))),esk13_0)|~ordinal(esk14_0)),inference(spm,[status(thm)],[37,719,theory(equality)])).
% cnf(941,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|in(esk7_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0))),succ(esk14_0))|~ordinal(esk14_0)),inference(spm,[status(thm)],[73,719,theory(equality)])).
% cnf(960,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|esk7_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0)))=esk15_1(esk6_2(esk13_0,esk14_0))|$false),inference(rw,[status(thm)],[911,132,theory(equality)])).
% cnf(961,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|esk7_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0)))=esk15_1(esk6_2(esk13_0,esk14_0))),inference(cn,[status(thm)],[960,theory(equality)])).
% cnf(968,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|esk8_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0)))=esk15_1(esk6_2(esk13_0,esk14_0))|$false),inference(rw,[status(thm)],[915,132,theory(equality)])).
% cnf(969,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|esk8_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0)))=esk15_1(esk6_2(esk13_0,esk14_0))),inference(cn,[status(thm)],[968,theory(equality)])).
% cnf(1004,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|in(esk8_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0))),esk13_0)|$false),inference(rw,[status(thm)],[933,132,theory(equality)])).
% cnf(1005,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|in(esk8_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0))),esk13_0)),inference(cn,[status(thm)],[1004,theory(equality)])).
% cnf(1020,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|in(esk7_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0))),succ(esk14_0))|$false),inference(rw,[status(thm)],[941,132,theory(equality)])).
% cnf(1021,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|in(esk7_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0))),succ(esk14_0))),inference(cn,[status(thm)],[1020,theory(equality)])).
% cnf(1059,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|ordinal(esk15_1(esk6_2(esk13_0,esk14_0)))|~ordinal(esk14_0)),inference(spm,[status(thm)],[357,969,theory(equality)])).
% cnf(1108,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|ordinal(esk15_1(esk6_2(esk13_0,esk14_0)))|$false),inference(rw,[status(thm)],[1059,132,theory(equality)])).
% cnf(1109,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|ordinal(esk15_1(esk6_2(esk13_0,esk14_0)))),inference(cn,[status(thm)],[1108,theory(equality)])).
% cnf(1130,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|~in(esk15_1(esk6_2(esk13_0,esk14_0)),succ(esk14_0))|~in(esk15_1(esk6_2(esk13_0,esk14_0)),esk13_0)|~in(esk15_1(esk6_2(esk13_0,esk14_0)),esk6_2(esk13_0,esk14_0))),inference(spm,[status(thm)],[138,1109,theory(equality)])).
% cnf(1140,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|~in(esk15_1(esk6_2(esk13_0,esk14_0)),succ(esk14_0))|~in(esk15_1(esk6_2(esk13_0,esk14_0)),esk13_0)),inference(csr,[status(thm)],[1130,719])).
% cnf(1142,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|in(esk15_1(esk6_2(esk13_0,esk14_0)),esk13_0)),inference(spm,[status(thm)],[1005,969,theory(equality)])).
% cnf(1153,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|~in(esk15_1(esk6_2(esk13_0,esk14_0)),succ(esk14_0))),inference(spm,[status(thm)],[1140,1142,theory(equality)])).
% cnf(1651,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|in(esk15_1(esk6_2(esk13_0,esk14_0)),succ(esk14_0))),inference(spm,[status(thm)],[1021,961,theory(equality)])).
% cnf(1689,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)),inference(csr,[status(thm)],[1651,1153])).
% cnf(2789,negated_conjecture,(esk2_2(esk13_0,esk14_0)=esk3_2(esk13_0,esk14_0)|in(esk15_1(X1),esk6_2(esk13_0,esk14_0))|in(esk15_1(X1),X1)),inference(rw,[status(thm)],[682,1689,theory(equality)])).
% cnf(2790,negated_conjecture,(in(esk15_1(X1),esk6_2(esk13_0,esk14_0))|in(esk15_1(X1),X1)),inference(csr,[status(thm)],[2789,542])).
% cnf(2791,negated_conjecture,(in(esk15_1(esk6_2(esk13_0,esk14_0)),esk6_2(esk13_0,esk14_0))),inference(ef,[status(thm)],[2790,theory(equality)])).
% cnf(3004,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk3_2(esk13_0,esk14_0)|esk7_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0)))=esk15_1(esk6_2(esk13_0,esk14_0))|~ordinal(esk14_0)),inference(spm,[status(thm)],[60,2791,theory(equality)])).
% cnf(3008,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk3_2(esk13_0,esk14_0)|esk8_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0)))=esk15_1(esk6_2(esk13_0,esk14_0))|~ordinal(esk14_0)),inference(spm,[status(thm)],[42,2791,theory(equality)])).
% cnf(3026,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk3_2(esk13_0,esk14_0)|in(esk8_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0))),esk13_0)|~ordinal(esk14_0)),inference(spm,[status(thm)],[33,2791,theory(equality)])).
% cnf(3034,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk3_2(esk13_0,esk14_0)|in(esk7_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0))),succ(esk14_0))|~ordinal(esk14_0)),inference(spm,[status(thm)],[69,2791,theory(equality)])).
% cnf(3055,negated_conjecture,(esk2_2(esk13_0,esk14_0)=esk3_2(esk13_0,esk14_0)|esk7_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0)))=esk15_1(esk6_2(esk13_0,esk14_0))|~ordinal(esk14_0)),inference(rw,[status(thm)],[3004,1689,theory(equality)])).
% cnf(3056,negated_conjecture,(esk2_2(esk13_0,esk14_0)=esk3_2(esk13_0,esk14_0)|esk7_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0)))=esk15_1(esk6_2(esk13_0,esk14_0))|$false),inference(rw,[status(thm)],[3055,132,theory(equality)])).
% cnf(3057,negated_conjecture,(esk2_2(esk13_0,esk14_0)=esk3_2(esk13_0,esk14_0)|esk7_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0)))=esk15_1(esk6_2(esk13_0,esk14_0))),inference(cn,[status(thm)],[3056,theory(equality)])).
% cnf(3065,negated_conjecture,(esk2_2(esk13_0,esk14_0)=esk3_2(esk13_0,esk14_0)|esk8_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0)))=esk15_1(esk6_2(esk13_0,esk14_0))|~ordinal(esk14_0)),inference(rw,[status(thm)],[3008,1689,theory(equality)])).
% cnf(3066,negated_conjecture,(esk2_2(esk13_0,esk14_0)=esk3_2(esk13_0,esk14_0)|esk8_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0)))=esk15_1(esk6_2(esk13_0,esk14_0))|$false),inference(rw,[status(thm)],[3065,132,theory(equality)])).
% cnf(3067,negated_conjecture,(esk2_2(esk13_0,esk14_0)=esk3_2(esk13_0,esk14_0)|esk8_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0)))=esk15_1(esk6_2(esk13_0,esk14_0))),inference(cn,[status(thm)],[3066,theory(equality)])).
% cnf(3111,negated_conjecture,(esk2_2(esk13_0,esk14_0)=esk3_2(esk13_0,esk14_0)|in(esk8_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0))),esk13_0)|~ordinal(esk14_0)),inference(rw,[status(thm)],[3026,1689,theory(equality)])).
% cnf(3112,negated_conjecture,(esk2_2(esk13_0,esk14_0)=esk3_2(esk13_0,esk14_0)|in(esk8_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0))),esk13_0)|$false),inference(rw,[status(thm)],[3111,132,theory(equality)])).
% cnf(3113,negated_conjecture,(esk2_2(esk13_0,esk14_0)=esk3_2(esk13_0,esk14_0)|in(esk8_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0))),esk13_0)),inference(cn,[status(thm)],[3112,theory(equality)])).
% cnf(3131,negated_conjecture,(esk2_2(esk13_0,esk14_0)=esk3_2(esk13_0,esk14_0)|in(esk7_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0))),succ(esk14_0))|~ordinal(esk14_0)),inference(rw,[status(thm)],[3034,1689,theory(equality)])).
% cnf(3132,negated_conjecture,(esk2_2(esk13_0,esk14_0)=esk3_2(esk13_0,esk14_0)|in(esk7_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0))),succ(esk14_0))|$false),inference(rw,[status(thm)],[3131,132,theory(equality)])).
% cnf(3133,negated_conjecture,(esk2_2(esk13_0,esk14_0)=esk3_2(esk13_0,esk14_0)|in(esk7_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0))),succ(esk14_0))),inference(cn,[status(thm)],[3132,theory(equality)])).
% cnf(3246,negated_conjecture,(esk1_2(esk13_0,esk14_0)=esk3_2(esk13_0,esk14_0)|ordinal(esk15_1(esk6_2(esk13_0,esk14_0)))|esk3_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|~ordinal(esk14_0)),inference(spm,[status(thm)],[358,3067,theory(equality)])).
% cnf(3274,negated_conjecture,(esk3_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|in(esk15_1(esk6_2(esk13_0,esk14_0)),esk13_0)),inference(spm,[status(thm)],[3113,3067,theory(equality)])).
% cnf(3347,negated_conjecture,(esk2_2(esk13_0,esk14_0)=esk3_2(esk13_0,esk14_0)|ordinal(esk15_1(esk6_2(esk13_0,esk14_0)))|esk3_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|~ordinal(esk14_0)),inference(rw,[status(thm)],[3246,1689,theory(equality)])).
% cnf(3348,negated_conjecture,(esk2_2(esk13_0,esk14_0)=esk3_2(esk13_0,esk14_0)|ordinal(esk15_1(esk6_2(esk13_0,esk14_0)))|esk3_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|$false),inference(rw,[status(thm)],[3347,132,theory(equality)])).
% cnf(3349,negated_conjecture,(esk2_2(esk13_0,esk14_0)=esk3_2(esk13_0,esk14_0)|ordinal(esk15_1(esk6_2(esk13_0,esk14_0)))),inference(cn,[status(thm)],[3348,theory(equality)])).
% cnf(3392,negated_conjecture,(esk3_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|~in(esk15_1(esk6_2(esk13_0,esk14_0)),succ(esk14_0))|~in(esk15_1(esk6_2(esk13_0,esk14_0)),esk13_0)|~in(esk15_1(esk6_2(esk13_0,esk14_0)),esk6_2(esk13_0,esk14_0))),inference(spm,[status(thm)],[138,3349,theory(equality)])).
% cnf(3393,negated_conjecture,(esk3_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|~in(esk15_1(esk6_2(esk13_0,esk14_0)),succ(esk14_0))|~in(esk15_1(esk6_2(esk13_0,esk14_0)),esk13_0)|$false),inference(rw,[status(thm)],[3392,2791,theory(equality)])).
% cnf(3394,negated_conjecture,(esk3_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|~in(esk15_1(esk6_2(esk13_0,esk14_0)),succ(esk14_0))|~in(esk15_1(esk6_2(esk13_0,esk14_0)),esk13_0)),inference(cn,[status(thm)],[3393,theory(equality)])).
% cnf(3483,negated_conjecture,(esk3_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|~in(esk15_1(esk6_2(esk13_0,esk14_0)),succ(esk14_0))),inference(csr,[status(thm)],[3394,3274])).
% cnf(4857,negated_conjecture,(esk3_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)|in(esk15_1(esk6_2(esk13_0,esk14_0)),succ(esk14_0))),inference(spm,[status(thm)],[3133,3057,theory(equality)])).
% cnf(4895,negated_conjecture,(esk3_2(esk13_0,esk14_0)=esk2_2(esk13_0,esk14_0)),inference(csr,[status(thm)],[4857,3483])).
% cnf(4896,negated_conjecture,(esk7_3(esk13_0,esk14_0,X1)=X1|~ordinal(esk14_0)|~in(X1,esk6_2(esk13_0,esk14_0))),inference(spm,[status(thm)],[56,4895,theory(equality)])).
% cnf(4897,negated_conjecture,(esk8_3(esk13_0,esk14_0,X1)=X1|~ordinal(esk14_0)|~in(X1,esk6_2(esk13_0,esk14_0))),inference(spm,[status(thm)],[38,4895,theory(equality)])).
% cnf(4898,negated_conjecture,(ordinal(esk8_3(esk13_0,esk14_0,X1))|~ordinal(esk14_0)|~in(X1,esk6_2(esk13_0,esk14_0))),inference(spm,[status(thm)],[47,4895,theory(equality)])).
% cnf(4899,negated_conjecture,(in(esk8_3(esk13_0,esk14_0,X1),esk13_0)|~ordinal(esk14_0)|~in(X1,esk6_2(esk13_0,esk14_0))),inference(spm,[status(thm)],[29,4895,theory(equality)])).
% cnf(4900,negated_conjecture,(in(esk7_3(esk13_0,esk14_0,X1),succ(esk14_0))|~ordinal(esk14_0)|~in(X1,esk6_2(esk13_0,esk14_0))),inference(spm,[status(thm)],[65,4895,theory(equality)])).
% cnf(4920,negated_conjecture,(esk7_3(esk13_0,esk14_0,X1)=X1|$false|~in(X1,esk6_2(esk13_0,esk14_0))),inference(rw,[status(thm)],[4896,132,theory(equality)])).
% cnf(4921,negated_conjecture,(esk7_3(esk13_0,esk14_0,X1)=X1|~in(X1,esk6_2(esk13_0,esk14_0))),inference(cn,[status(thm)],[4920,theory(equality)])).
% cnf(4922,negated_conjecture,(esk8_3(esk13_0,esk14_0,X1)=X1|$false|~in(X1,esk6_2(esk13_0,esk14_0))),inference(rw,[status(thm)],[4897,132,theory(equality)])).
% cnf(4923,negated_conjecture,(esk8_3(esk13_0,esk14_0,X1)=X1|~in(X1,esk6_2(esk13_0,esk14_0))),inference(cn,[status(thm)],[4922,theory(equality)])).
% cnf(4924,negated_conjecture,(ordinal(esk8_3(esk13_0,esk14_0,X1))|$false|~in(X1,esk6_2(esk13_0,esk14_0))),inference(rw,[status(thm)],[4898,132,theory(equality)])).
% cnf(4925,negated_conjecture,(ordinal(esk8_3(esk13_0,esk14_0,X1))|~in(X1,esk6_2(esk13_0,esk14_0))),inference(cn,[status(thm)],[4924,theory(equality)])).
% cnf(4926,negated_conjecture,(in(esk8_3(esk13_0,esk14_0,X1),esk13_0)|$false|~in(X1,esk6_2(esk13_0,esk14_0))),inference(rw,[status(thm)],[4899,132,theory(equality)])).
% cnf(4927,negated_conjecture,(in(esk8_3(esk13_0,esk14_0,X1),esk13_0)|~in(X1,esk6_2(esk13_0,esk14_0))),inference(cn,[status(thm)],[4926,theory(equality)])).
% cnf(4928,negated_conjecture,(in(esk7_3(esk13_0,esk14_0,X1),succ(esk14_0))|$false|~in(X1,esk6_2(esk13_0,esk14_0))),inference(rw,[status(thm)],[4900,132,theory(equality)])).
% cnf(4929,negated_conjecture,(in(esk7_3(esk13_0,esk14_0,X1),succ(esk14_0))|~in(X1,esk6_2(esk13_0,esk14_0))),inference(cn,[status(thm)],[4928,theory(equality)])).
% cnf(4983,negated_conjecture,(esk7_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0)))=esk15_1(esk6_2(esk13_0,esk14_0))),inference(spm,[status(thm)],[4921,2791,theory(equality)])).
% cnf(5002,negated_conjecture,(esk8_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0)))=esk15_1(esk6_2(esk13_0,esk14_0))),inference(spm,[status(thm)],[4923,2791,theory(equality)])).
% cnf(5021,negated_conjecture,(ordinal(esk8_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0))))),inference(spm,[status(thm)],[4925,2791,theory(equality)])).
% cnf(5040,negated_conjecture,(in(esk8_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0))),esk13_0)),inference(spm,[status(thm)],[4927,2791,theory(equality)])).
% cnf(5061,negated_conjecture,(in(esk7_3(esk13_0,esk14_0,esk15_1(esk6_2(esk13_0,esk14_0))),succ(esk14_0))),inference(spm,[status(thm)],[4929,2791,theory(equality)])).
% cnf(5300,negated_conjecture,(ordinal(esk15_1(esk6_2(esk13_0,esk14_0)))),inference(rw,[status(thm)],[5021,5002,theory(equality)])).
% cnf(5301,negated_conjecture,(~in(esk15_1(esk6_2(esk13_0,esk14_0)),succ(esk14_0))|~in(esk15_1(esk6_2(esk13_0,esk14_0)),esk13_0)|~in(esk15_1(esk6_2(esk13_0,esk14_0)),esk6_2(esk13_0,esk14_0))),inference(spm,[status(thm)],[138,5300,theory(equality)])).
% cnf(5302,negated_conjecture,(~in(esk15_1(esk6_2(esk13_0,esk14_0)),succ(esk14_0))|~in(esk15_1(esk6_2(esk13_0,esk14_0)),esk13_0)|$false),inference(rw,[status(thm)],[5301,2791,theory(equality)])).
% cnf(5303,negated_conjecture,(~in(esk15_1(esk6_2(esk13_0,esk14_0)),succ(esk14_0))|~in(esk15_1(esk6_2(esk13_0,esk14_0)),esk13_0)),inference(cn,[status(thm)],[5302,theory(equality)])).
% cnf(5318,negated_conjecture,(in(esk15_1(esk6_2(esk13_0,esk14_0)),esk13_0)),inference(rw,[status(thm)],[5040,5002,theory(equality)])).
% cnf(5329,negated_conjecture,(~in(esk15_1(esk6_2(esk13_0,esk14_0)),succ(esk14_0))|$false),inference(rw,[status(thm)],[5303,5318,theory(equality)])).
% cnf(5330,negated_conjecture,(~in(esk15_1(esk6_2(esk13_0,esk14_0)),succ(esk14_0))),inference(cn,[status(thm)],[5329,theory(equality)])).
% cnf(5682,negated_conjecture,(in(esk15_1(esk6_2(esk13_0,esk14_0)),succ(esk14_0))),inference(rw,[status(thm)],[5061,4983,theory(equality)])).
% cnf(5683,negated_conjecture,($false),inference(sr,[status(thm)],[5682,5330,theory(equality)])).
% cnf(5684,negated_conjecture,($false),5683,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 653
% # ...of these trivial : 15
% # ...subsumed : 262
% # ...remaining for further processing: 376
% # Other redundant clauses eliminated : 18
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 19
% # Backward-rewritten : 82
% # Generated clauses : 2792
% # ...of the previous two non-trivial : 2465
% # Contextual simplify-reflections : 297
% # Paramodulations : 2770
% # Factorizations : 12
% # Equation resolutions : 19
% # Current number of processed clauses: 265
% # Positive orientable unit clauses: 20
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 8
% # Non-unit-clauses : 237
% # Current number of unprocessed clauses: 1074
% # ...number of literals in the above : 5575
% # Clause-clause subsumption calls (NU) : 3522
% # Rec. Clause-clause subsumption calls : 1582
% # Unit Clause-clause subsumption calls : 25
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 12
% # Indexed BW rewrite successes : 8
% # Backwards rewriting index: 125 leaves, 1.49+/-0.722 terms/leaf
% # Paramod-from index: 38 leaves, 1.00+/-0.000 terms/leaf
% # Paramod-into index: 80 leaves, 1.12+/-0.429 terms/leaf
% # -------------------------------------------------
% # User time : 0.145 s
% # System time : 0.006 s
% # Total time : 0.151 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.31 CPU 0.39 WC
% FINAL PrfWatch: 0.31 CPU 0.40 WC
% SZS output end Solution for /tmp/SystemOnTPTP16252/SEU272+1.tptp
%
%------------------------------------------------------------------------------