TSTP Solution File: SET791+4 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SET791+4 : TPTP v5.0.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art01.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 00:07:47 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/SystemOnTPTP25116/SET791+4.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP25116/SET791+4.tptp
% SZS output start Solution for /tmp/SystemOnTPTP25116/SET791+4.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 25212
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time     : 0.019 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:![X3]:(greatest(X3,X1,X2)<=>(member(X3,X2)&![X4]:(member(X4,X2)=>apply(X1,X4,X3)))),file('/tmp/SRASS.s.p', greatest)).
% fof(2, axiom,![X1]:![X2]:![X3]:(max(X3,X1,X2)<=>(member(X3,X2)&![X4]:((member(X4,X2)&apply(X1,X3,X4))=>X3=X4))),file('/tmp/SRASS.s.p', max)).
% fof(3, axiom,![X1]:![X2]:(order(X1,X2)<=>((![X4]:(member(X4,X2)=>apply(X1,X4,X4))&![X4]:![X5]:((member(X4,X2)&member(X5,X2))=>((apply(X1,X4,X5)&apply(X1,X5,X4))=>X4=X5)))&![X4]:![X5]:![X6]:(((member(X4,X2)&member(X5,X2))&member(X6,X2))=>((apply(X1,X4,X5)&apply(X1,X5,X6))=>apply(X1,X4,X6))))),file('/tmp/SRASS.s.p', order)).
% fof(11, conjecture,![X1]:![X2]:![X3]:((order(X1,X2)&greatest(X3,X1,X2))=>max(X3,X1,X2)),file('/tmp/SRASS.s.p', thIV3)).
% fof(12, negated_conjecture,~(![X1]:![X2]:![X3]:((order(X1,X2)&greatest(X3,X1,X2))=>max(X3,X1,X2))),inference(assume_negation,[status(cth)],[11])).
% fof(13, plain,![X2]:![X1]:(epred1_2(X1,X2)<=>((![X4]:(member(X4,X2)=>apply(X1,X4,X4))&![X4]:![X5]:((member(X4,X2)&member(X5,X2))=>((apply(X1,X4,X5)&apply(X1,X5,X4))=>X4=X5)))&![X4]:![X5]:![X6]:(((member(X4,X2)&member(X5,X2))&member(X6,X2))=>((apply(X1,X4,X5)&apply(X1,X5,X6))=>apply(X1,X4,X6))))),introduced(definition)).
% fof(14, plain,![X1]:![X2]:(order(X1,X2)<=>epred1_2(X1,X2)),inference(apply_def,[status(esa)],[3,13,theory(equality)])).
% fof(15, plain,![X1]:![X2]:![X3]:((~(greatest(X3,X1,X2))|(member(X3,X2)&![X4]:(~(member(X4,X2))|apply(X1,X4,X3))))&((~(member(X3,X2))|?[X4]:(member(X4,X2)&~(apply(X1,X4,X3))))|greatest(X3,X1,X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(16, plain,![X5]:![X6]:![X7]:((~(greatest(X7,X5,X6))|(member(X7,X6)&![X8]:(~(member(X8,X6))|apply(X5,X8,X7))))&((~(member(X7,X6))|?[X9]:(member(X9,X6)&~(apply(X5,X9,X7))))|greatest(X7,X5,X6))),inference(variable_rename,[status(thm)],[15])).
% fof(17, plain,![X5]:![X6]:![X7]:((~(greatest(X7,X5,X6))|(member(X7,X6)&![X8]:(~(member(X8,X6))|apply(X5,X8,X7))))&((~(member(X7,X6))|(member(esk1_3(X5,X6,X7),X6)&~(apply(X5,esk1_3(X5,X6,X7),X7))))|greatest(X7,X5,X6))),inference(skolemize,[status(esa)],[16])).
% fof(18, plain,![X5]:![X6]:![X7]:![X8]:((((~(member(X8,X6))|apply(X5,X8,X7))&member(X7,X6))|~(greatest(X7,X5,X6)))&((~(member(X7,X6))|(member(esk1_3(X5,X6,X7),X6)&~(apply(X5,esk1_3(X5,X6,X7),X7))))|greatest(X7,X5,X6))),inference(shift_quantors,[status(thm)],[17])).
% fof(19, plain,![X5]:![X6]:![X7]:![X8]:((((~(member(X8,X6))|apply(X5,X8,X7))|~(greatest(X7,X5,X6)))&(member(X7,X6)|~(greatest(X7,X5,X6))))&(((member(esk1_3(X5,X6,X7),X6)|~(member(X7,X6)))|greatest(X7,X5,X6))&((~(apply(X5,esk1_3(X5,X6,X7),X7))|~(member(X7,X6)))|greatest(X7,X5,X6)))),inference(distribute,[status(thm)],[18])).
% cnf(22,plain,(member(X1,X3)|~greatest(X1,X2,X3)),inference(split_conjunct,[status(thm)],[19])).
% cnf(23,plain,(apply(X2,X4,X1)|~greatest(X1,X2,X3)|~member(X4,X3)),inference(split_conjunct,[status(thm)],[19])).
% fof(24, plain,![X1]:![X2]:![X3]:((~(max(X3,X1,X2))|(member(X3,X2)&![X4]:((~(member(X4,X2))|~(apply(X1,X3,X4)))|X3=X4)))&((~(member(X3,X2))|?[X4]:((member(X4,X2)&apply(X1,X3,X4))&~(X3=X4)))|max(X3,X1,X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(25, plain,![X5]:![X6]:![X7]:((~(max(X7,X5,X6))|(member(X7,X6)&![X8]:((~(member(X8,X6))|~(apply(X5,X7,X8)))|X7=X8)))&((~(member(X7,X6))|?[X9]:((member(X9,X6)&apply(X5,X7,X9))&~(X7=X9)))|max(X7,X5,X6))),inference(variable_rename,[status(thm)],[24])).
% fof(26, plain,![X5]:![X6]:![X7]:((~(max(X7,X5,X6))|(member(X7,X6)&![X8]:((~(member(X8,X6))|~(apply(X5,X7,X8)))|X7=X8)))&((~(member(X7,X6))|((member(esk2_3(X5,X6,X7),X6)&apply(X5,X7,esk2_3(X5,X6,X7)))&~(X7=esk2_3(X5,X6,X7))))|max(X7,X5,X6))),inference(skolemize,[status(esa)],[25])).
% fof(27, plain,![X5]:![X6]:![X7]:![X8]:(((((~(member(X8,X6))|~(apply(X5,X7,X8)))|X7=X8)&member(X7,X6))|~(max(X7,X5,X6)))&((~(member(X7,X6))|((member(esk2_3(X5,X6,X7),X6)&apply(X5,X7,esk2_3(X5,X6,X7)))&~(X7=esk2_3(X5,X6,X7))))|max(X7,X5,X6))),inference(shift_quantors,[status(thm)],[26])).
% fof(28, plain,![X5]:![X6]:![X7]:![X8]:(((((~(member(X8,X6))|~(apply(X5,X7,X8)))|X7=X8)|~(max(X7,X5,X6)))&(member(X7,X6)|~(max(X7,X5,X6))))&((((member(esk2_3(X5,X6,X7),X6)|~(member(X7,X6)))|max(X7,X5,X6))&((apply(X5,X7,esk2_3(X5,X6,X7))|~(member(X7,X6)))|max(X7,X5,X6)))&((~(X7=esk2_3(X5,X6,X7))|~(member(X7,X6)))|max(X7,X5,X6)))),inference(distribute,[status(thm)],[27])).
% cnf(29,plain,(max(X1,X2,X3)|~member(X1,X3)|X1!=esk2_3(X2,X3,X1)),inference(split_conjunct,[status(thm)],[28])).
% cnf(30,plain,(max(X1,X2,X3)|apply(X2,X1,esk2_3(X2,X3,X1))|~member(X1,X3)),inference(split_conjunct,[status(thm)],[28])).
% cnf(31,plain,(max(X1,X2,X3)|member(esk2_3(X2,X3,X1),X3)|~member(X1,X3)),inference(split_conjunct,[status(thm)],[28])).
% fof(34, plain,![X1]:![X2]:((~(order(X1,X2))|epred1_2(X1,X2))&(~(epred1_2(X1,X2))|order(X1,X2))),inference(fof_nnf,[status(thm)],[14])).
% fof(35, plain,![X3]:![X4]:((~(order(X3,X4))|epred1_2(X3,X4))&(~(epred1_2(X3,X4))|order(X3,X4))),inference(variable_rename,[status(thm)],[34])).
% cnf(37,plain,(epred1_2(X1,X2)|~order(X1,X2)),inference(split_conjunct,[status(thm)],[35])).
% fof(106, negated_conjecture,?[X1]:?[X2]:?[X3]:((order(X1,X2)&greatest(X3,X1,X2))&~(max(X3,X1,X2))),inference(fof_nnf,[status(thm)],[12])).
% fof(107, negated_conjecture,?[X4]:?[X5]:?[X6]:((order(X4,X5)&greatest(X6,X4,X5))&~(max(X6,X4,X5))),inference(variable_rename,[status(thm)],[106])).
% fof(108, negated_conjecture,((order(esk11_0,esk12_0)&greatest(esk13_0,esk11_0,esk12_0))&~(max(esk13_0,esk11_0,esk12_0))),inference(skolemize,[status(esa)],[107])).
% cnf(109,negated_conjecture,(~max(esk13_0,esk11_0,esk12_0)),inference(split_conjunct,[status(thm)],[108])).
% cnf(110,negated_conjecture,(greatest(esk13_0,esk11_0,esk12_0)),inference(split_conjunct,[status(thm)],[108])).
% cnf(111,negated_conjecture,(order(esk11_0,esk12_0)),inference(split_conjunct,[status(thm)],[108])).
% fof(112, plain,![X2]:![X1]:((~(epred1_2(X1,X2))|((![X4]:(~(member(X4,X2))|apply(X1,X4,X4))&![X4]:![X5]:((~(member(X4,X2))|~(member(X5,X2)))|((~(apply(X1,X4,X5))|~(apply(X1,X5,X4)))|X4=X5)))&![X4]:![X5]:![X6]:(((~(member(X4,X2))|~(member(X5,X2)))|~(member(X6,X2)))|((~(apply(X1,X4,X5))|~(apply(X1,X5,X6)))|apply(X1,X4,X6)))))&(((?[X4]:(member(X4,X2)&~(apply(X1,X4,X4)))|?[X4]:?[X5]:((member(X4,X2)&member(X5,X2))&((apply(X1,X4,X5)&apply(X1,X5,X4))&~(X4=X5))))|?[X4]:?[X5]:?[X6]:(((member(X4,X2)&member(X5,X2))&member(X6,X2))&((apply(X1,X4,X5)&apply(X1,X5,X6))&~(apply(X1,X4,X6)))))|epred1_2(X1,X2))),inference(fof_nnf,[status(thm)],[13])).
% fof(113, plain,![X7]:![X8]:((~(epred1_2(X8,X7))|((![X9]:(~(member(X9,X7))|apply(X8,X9,X9))&![X10]:![X11]:((~(member(X10,X7))|~(member(X11,X7)))|((~(apply(X8,X10,X11))|~(apply(X8,X11,X10)))|X10=X11)))&![X12]:![X13]:![X14]:(((~(member(X12,X7))|~(member(X13,X7)))|~(member(X14,X7)))|((~(apply(X8,X12,X13))|~(apply(X8,X13,X14)))|apply(X8,X12,X14)))))&(((?[X15]:(member(X15,X7)&~(apply(X8,X15,X15)))|?[X16]:?[X17]:((member(X16,X7)&member(X17,X7))&((apply(X8,X16,X17)&apply(X8,X17,X16))&~(X16=X17))))|?[X18]:?[X19]:?[X20]:(((member(X18,X7)&member(X19,X7))&member(X20,X7))&((apply(X8,X18,X19)&apply(X8,X19,X20))&~(apply(X8,X18,X20)))))|epred1_2(X8,X7))),inference(variable_rename,[status(thm)],[112])).
% fof(114, plain,![X7]:![X8]:((~(epred1_2(X8,X7))|((![X9]:(~(member(X9,X7))|apply(X8,X9,X9))&![X10]:![X11]:((~(member(X10,X7))|~(member(X11,X7)))|((~(apply(X8,X10,X11))|~(apply(X8,X11,X10)))|X10=X11)))&![X12]:![X13]:![X14]:(((~(member(X12,X7))|~(member(X13,X7)))|~(member(X14,X7)))|((~(apply(X8,X12,X13))|~(apply(X8,X13,X14)))|apply(X8,X12,X14)))))&((((member(esk14_2(X7,X8),X7)&~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8))))|((member(esk15_2(X7,X8),X7)&member(esk16_2(X7,X8),X7))&((apply(X8,esk15_2(X7,X8),esk16_2(X7,X8))&apply(X8,esk16_2(X7,X8),esk15_2(X7,X8)))&~(esk15_2(X7,X8)=esk16_2(X7,X8)))))|(((member(esk17_2(X7,X8),X7)&member(esk18_2(X7,X8),X7))&member(esk19_2(X7,X8),X7))&((apply(X8,esk17_2(X7,X8),esk18_2(X7,X8))&apply(X8,esk18_2(X7,X8),esk19_2(X7,X8)))&~(apply(X8,esk17_2(X7,X8),esk19_2(X7,X8))))))|epred1_2(X8,X7))),inference(skolemize,[status(esa)],[113])).
% fof(115, plain,![X7]:![X8]:![X9]:![X10]:![X11]:![X12]:![X13]:![X14]:((((((~(member(X12,X7))|~(member(X13,X7)))|~(member(X14,X7)))|((~(apply(X8,X12,X13))|~(apply(X8,X13,X14)))|apply(X8,X12,X14)))&(((~(member(X10,X7))|~(member(X11,X7)))|((~(apply(X8,X10,X11))|~(apply(X8,X11,X10)))|X10=X11))&(~(member(X9,X7))|apply(X8,X9,X9))))|~(epred1_2(X8,X7)))&((((member(esk14_2(X7,X8),X7)&~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8))))|((member(esk15_2(X7,X8),X7)&member(esk16_2(X7,X8),X7))&((apply(X8,esk15_2(X7,X8),esk16_2(X7,X8))&apply(X8,esk16_2(X7,X8),esk15_2(X7,X8)))&~(esk15_2(X7,X8)=esk16_2(X7,X8)))))|(((member(esk17_2(X7,X8),X7)&member(esk18_2(X7,X8),X7))&member(esk19_2(X7,X8),X7))&((apply(X8,esk17_2(X7,X8),esk18_2(X7,X8))&apply(X8,esk18_2(X7,X8),esk19_2(X7,X8)))&~(apply(X8,esk17_2(X7,X8),esk19_2(X7,X8))))))|epred1_2(X8,X7))),inference(shift_quantors,[status(thm)],[114])).
% fof(116, plain,![X7]:![X8]:![X9]:![X10]:![X11]:![X12]:![X13]:![X14]:((((((~(member(X12,X7))|~(member(X13,X7)))|~(member(X14,X7)))|((~(apply(X8,X12,X13))|~(apply(X8,X13,X14)))|apply(X8,X12,X14)))|~(epred1_2(X8,X7)))&((((~(member(X10,X7))|~(member(X11,X7)))|((~(apply(X8,X10,X11))|~(apply(X8,X11,X10)))|X10=X11))|~(epred1_2(X8,X7)))&((~(member(X9,X7))|apply(X8,X9,X9))|~(epred1_2(X8,X7)))))&((((((((member(esk17_2(X7,X8),X7)|(member(esk15_2(X7,X8),X7)|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7))&((member(esk18_2(X7,X8),X7)|(member(esk15_2(X7,X8),X7)|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7)))&((member(esk19_2(X7,X8),X7)|(member(esk15_2(X7,X8),X7)|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7)))&((((apply(X8,esk17_2(X7,X8),esk18_2(X7,X8))|(member(esk15_2(X7,X8),X7)|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7))&((apply(X8,esk18_2(X7,X8),esk19_2(X7,X8))|(member(esk15_2(X7,X8),X7)|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7)))&((~(apply(X8,esk17_2(X7,X8),esk19_2(X7,X8)))|(member(esk15_2(X7,X8),X7)|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7))))&(((((member(esk17_2(X7,X8),X7)|(member(esk16_2(X7,X8),X7)|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7))&((member(esk18_2(X7,X8),X7)|(member(esk16_2(X7,X8),X7)|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7)))&((member(esk19_2(X7,X8),X7)|(member(esk16_2(X7,X8),X7)|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7)))&((((apply(X8,esk17_2(X7,X8),esk18_2(X7,X8))|(member(esk16_2(X7,X8),X7)|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7))&((apply(X8,esk18_2(X7,X8),esk19_2(X7,X8))|(member(esk16_2(X7,X8),X7)|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7)))&((~(apply(X8,esk17_2(X7,X8),esk19_2(X7,X8)))|(member(esk16_2(X7,X8),X7)|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7)))))&(((((((member(esk17_2(X7,X8),X7)|(apply(X8,esk15_2(X7,X8),esk16_2(X7,X8))|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7))&((member(esk18_2(X7,X8),X7)|(apply(X8,esk15_2(X7,X8),esk16_2(X7,X8))|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7)))&((member(esk19_2(X7,X8),X7)|(apply(X8,esk15_2(X7,X8),esk16_2(X7,X8))|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7)))&((((apply(X8,esk17_2(X7,X8),esk18_2(X7,X8))|(apply(X8,esk15_2(X7,X8),esk16_2(X7,X8))|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7))&((apply(X8,esk18_2(X7,X8),esk19_2(X7,X8))|(apply(X8,esk15_2(X7,X8),esk16_2(X7,X8))|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7)))&((~(apply(X8,esk17_2(X7,X8),esk19_2(X7,X8)))|(apply(X8,esk15_2(X7,X8),esk16_2(X7,X8))|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7))))&(((((member(esk17_2(X7,X8),X7)|(apply(X8,esk16_2(X7,X8),esk15_2(X7,X8))|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7))&((member(esk18_2(X7,X8),X7)|(apply(X8,esk16_2(X7,X8),esk15_2(X7,X8))|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7)))&((member(esk19_2(X7,X8),X7)|(apply(X8,esk16_2(X7,X8),esk15_2(X7,X8))|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7)))&((((apply(X8,esk17_2(X7,X8),esk18_2(X7,X8))|(apply(X8,esk16_2(X7,X8),esk15_2(X7,X8))|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7))&((apply(X8,esk18_2(X7,X8),esk19_2(X7,X8))|(apply(X8,esk16_2(X7,X8),esk15_2(X7,X8))|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7)))&((~(apply(X8,esk17_2(X7,X8),esk19_2(X7,X8)))|(apply(X8,esk16_2(X7,X8),esk15_2(X7,X8))|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7)))))&(((((member(esk17_2(X7,X8),X7)|(~(esk15_2(X7,X8)=esk16_2(X7,X8))|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7))&((member(esk18_2(X7,X8),X7)|(~(esk15_2(X7,X8)=esk16_2(X7,X8))|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7)))&((member(esk19_2(X7,X8),X7)|(~(esk15_2(X7,X8)=esk16_2(X7,X8))|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7)))&((((apply(X8,esk17_2(X7,X8),esk18_2(X7,X8))|(~(esk15_2(X7,X8)=esk16_2(X7,X8))|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7))&((apply(X8,esk18_2(X7,X8),esk19_2(X7,X8))|(~(esk15_2(X7,X8)=esk16_2(X7,X8))|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7)))&((~(apply(X8,esk17_2(X7,X8),esk19_2(X7,X8)))|(~(esk15_2(X7,X8)=esk16_2(X7,X8))|member(esk14_2(X7,X8),X7)))|epred1_2(X8,X7))))))&(((((((member(esk17_2(X7,X8),X7)|(member(esk15_2(X7,X8),X7)|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7))&((member(esk18_2(X7,X8),X7)|(member(esk15_2(X7,X8),X7)|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7)))&((member(esk19_2(X7,X8),X7)|(member(esk15_2(X7,X8),X7)|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7)))&((((apply(X8,esk17_2(X7,X8),esk18_2(X7,X8))|(member(esk15_2(X7,X8),X7)|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7))&((apply(X8,esk18_2(X7,X8),esk19_2(X7,X8))|(member(esk15_2(X7,X8),X7)|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7)))&((~(apply(X8,esk17_2(X7,X8),esk19_2(X7,X8)))|(member(esk15_2(X7,X8),X7)|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7))))&(((((member(esk17_2(X7,X8),X7)|(member(esk16_2(X7,X8),X7)|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7))&((member(esk18_2(X7,X8),X7)|(member(esk16_2(X7,X8),X7)|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7)))&((member(esk19_2(X7,X8),X7)|(member(esk16_2(X7,X8),X7)|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7)))&((((apply(X8,esk17_2(X7,X8),esk18_2(X7,X8))|(member(esk16_2(X7,X8),X7)|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7))&((apply(X8,esk18_2(X7,X8),esk19_2(X7,X8))|(member(esk16_2(X7,X8),X7)|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7)))&((~(apply(X8,esk17_2(X7,X8),esk19_2(X7,X8)))|(member(esk16_2(X7,X8),X7)|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7)))))&(((((((member(esk17_2(X7,X8),X7)|(apply(X8,esk15_2(X7,X8),esk16_2(X7,X8))|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7))&((member(esk18_2(X7,X8),X7)|(apply(X8,esk15_2(X7,X8),esk16_2(X7,X8))|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7)))&((member(esk19_2(X7,X8),X7)|(apply(X8,esk15_2(X7,X8),esk16_2(X7,X8))|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7)))&((((apply(X8,esk17_2(X7,X8),esk18_2(X7,X8))|(apply(X8,esk15_2(X7,X8),esk16_2(X7,X8))|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7))&((apply(X8,esk18_2(X7,X8),esk19_2(X7,X8))|(apply(X8,esk15_2(X7,X8),esk16_2(X7,X8))|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7)))&((~(apply(X8,esk17_2(X7,X8),esk19_2(X7,X8)))|(apply(X8,esk15_2(X7,X8),esk16_2(X7,X8))|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7))))&(((((member(esk17_2(X7,X8),X7)|(apply(X8,esk16_2(X7,X8),esk15_2(X7,X8))|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7))&((member(esk18_2(X7,X8),X7)|(apply(X8,esk16_2(X7,X8),esk15_2(X7,X8))|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7)))&((member(esk19_2(X7,X8),X7)|(apply(X8,esk16_2(X7,X8),esk15_2(X7,X8))|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7)))&((((apply(X8,esk17_2(X7,X8),esk18_2(X7,X8))|(apply(X8,esk16_2(X7,X8),esk15_2(X7,X8))|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7))&((apply(X8,esk18_2(X7,X8),esk19_2(X7,X8))|(apply(X8,esk16_2(X7,X8),esk15_2(X7,X8))|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7)))&((~(apply(X8,esk17_2(X7,X8),esk19_2(X7,X8)))|(apply(X8,esk16_2(X7,X8),esk15_2(X7,X8))|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7)))))&(((((member(esk17_2(X7,X8),X7)|(~(esk15_2(X7,X8)=esk16_2(X7,X8))|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7))&((member(esk18_2(X7,X8),X7)|(~(esk15_2(X7,X8)=esk16_2(X7,X8))|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7)))&((member(esk19_2(X7,X8),X7)|(~(esk15_2(X7,X8)=esk16_2(X7,X8))|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7)))&((((apply(X8,esk17_2(X7,X8),esk18_2(X7,X8))|(~(esk15_2(X7,X8)=esk16_2(X7,X8))|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7))&((apply(X8,esk18_2(X7,X8),esk19_2(X7,X8))|(~(esk15_2(X7,X8)=esk16_2(X7,X8))|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7)))&((~(apply(X8,esk17_2(X7,X8),esk19_2(X7,X8)))|(~(esk15_2(X7,X8)=esk16_2(X7,X8))|~(apply(X8,esk14_2(X7,X8),esk14_2(X7,X8)))))|epred1_2(X8,X7)))))))),inference(distribute,[status(thm)],[115])).
% cnf(178,plain,(X3=X4|~epred1_2(X1,X2)|~apply(X1,X4,X3)|~apply(X1,X3,X4)|~member(X4,X2)|~member(X3,X2)),inference(split_conjunct,[status(thm)],[116])).
% cnf(180,negated_conjecture,(epred1_2(esk11_0,esk12_0)),inference(spm,[status(thm)],[37,111,theory(equality)])).
% cnf(182,negated_conjecture,(member(esk13_0,esk12_0)),inference(spm,[status(thm)],[22,110,theory(equality)])).
% cnf(183,negated_conjecture,(apply(esk11_0,X1,esk13_0)|~member(X1,esk12_0)),inference(spm,[status(thm)],[23,110,theory(equality)])).
% cnf(185,plain,(esk2_3(X1,X2,X3)=X3|max(X3,X1,X2)|~epred1_2(X1,X4)|~apply(X1,esk2_3(X1,X2,X3),X3)|~member(X3,X4)|~member(esk2_3(X1,X2,X3),X4)|~member(X3,X2)),inference(spm,[status(thm)],[178,30,theory(equality)])).
% cnf(284,plain,(max(X3,X1,X2)|~epred1_2(X1,X4)|~apply(X1,esk2_3(X1,X2,X3),X3)|~member(esk2_3(X1,X2,X3),X4)|~member(X3,X4)|~member(X3,X2)),inference(csr,[status(thm)],[185,29])).
% cnf(285,negated_conjecture,(max(esk13_0,esk11_0,X1)|~epred1_2(esk11_0,X2)|~member(esk2_3(esk11_0,X1,esk13_0),X2)|~member(esk13_0,X2)|~member(esk13_0,X1)|~member(esk2_3(esk11_0,X1,esk13_0),esk12_0)),inference(spm,[status(thm)],[284,183,theory(equality)])).
% cnf(298,negated_conjecture,(max(esk13_0,esk11_0,esk12_0)|~epred1_2(esk11_0,X1)|~member(esk2_3(esk11_0,esk12_0,esk13_0),X1)|~member(esk13_0,X1)|~member(esk13_0,esk12_0)),inference(spm,[status(thm)],[285,31,theory(equality)])).
% cnf(299,negated_conjecture,(max(esk13_0,esk11_0,esk12_0)|~epred1_2(esk11_0,X1)|~member(esk2_3(esk11_0,esk12_0,esk13_0),X1)|~member(esk13_0,X1)|$false),inference(rw,[status(thm)],[298,182,theory(equality)])).
% cnf(300,negated_conjecture,(max(esk13_0,esk11_0,esk12_0)|~epred1_2(esk11_0,X1)|~member(esk2_3(esk11_0,esk12_0,esk13_0),X1)|~member(esk13_0,X1)),inference(cn,[status(thm)],[299,theory(equality)])).
% cnf(301,negated_conjecture,(~epred1_2(esk11_0,X1)|~member(esk2_3(esk11_0,esk12_0,esk13_0),X1)|~member(esk13_0,X1)),inference(sr,[status(thm)],[300,109,theory(equality)])).
% cnf(302,negated_conjecture,(max(esk13_0,esk11_0,esk12_0)|~epred1_2(esk11_0,esk12_0)|~member(esk13_0,esk12_0)),inference(spm,[status(thm)],[301,31,theory(equality)])).
% cnf(303,negated_conjecture,(max(esk13_0,esk11_0,esk12_0)|$false|~member(esk13_0,esk12_0)),inference(rw,[status(thm)],[302,180,theory(equality)])).
% cnf(304,negated_conjecture,(max(esk13_0,esk11_0,esk12_0)|$false|$false),inference(rw,[status(thm)],[303,182,theory(equality)])).
% cnf(305,negated_conjecture,(max(esk13_0,esk11_0,esk12_0)),inference(cn,[status(thm)],[304,theory(equality)])).
% cnf(306,negated_conjecture,($false),inference(sr,[status(thm)],[305,109,theory(equality)])).
% cnf(307,negated_conjecture,($false),306,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 247
% # ...of these trivial                : 0
% # ...subsumed                        : 2
% # ...remaining for further processing: 245
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 4
% # Backward-rewritten                 : 0
% # Generated clauses                  : 112
% # ...of the previous two non-trivial : 104
% # Contextual simplify-reflections    : 5
% # Paramodulations                    : 112
% # Factorizations                     : 0
% # Equation resolutions               : 0
% # Current number of processed clauses: 131
% #    Positive orientable unit clauses: 5
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 1
% #    Non-unit-clauses                : 125
% # Current number of unprocessed clauses: 70
% # ...number of literals in the above : 584
% # Clause-clause subsumption calls (NU) : 281
% # Rec. Clause-clause subsumption calls : 125
% # Unit Clause-clause subsumption calls : 0
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 1
% # Indexed BW rewrite successes       : 0
% # Backwards rewriting index:    96 leaves,   1.54+/-1.506 terms/leaf
% # Paramod-from index:           31 leaves,   1.03+/-0.177 terms/leaf
% # Paramod-into index:           80 leaves,   1.21+/-0.684 terms/leaf
% # -------------------------------------------------
% # User time              : 0.042 s
% # System time            : 0.003 s
% # Total time             : 0.045 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.15 CPU 0.22 WC
% FINAL PrfWatch: 0.15 CPU 0.22 WC
% SZS output end Solution for /tmp/SystemOnTPTP25116/SET791+4.tptp
% 
%------------------------------------------------------------------------------