TSTP Solution File: SWC109+1 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SWC109+1 : TPTP v5.0.0. Released v2.4.0.
% 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 07:09:47 EST 2010

% Result   : Theorem 1.53s
% Output   : Solution 1.53s
% 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/SystemOnTPTP30309/SWC109+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP30309/SWC109+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP30309/SWC109+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 30441
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time     : 0.030 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(4, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(segmentP(X1,X2)<=>?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&app(app(X3,X2),X4)=X1))))),file('/tmp/SRASS.s.p', ax7)).
% fof(5, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(neq(X1,X2)<=>~(X1=X2)))),file('/tmp/SRASS.s.p', ax15)).
% fof(7, axiom,ssList(nil),file('/tmp/SRASS.s.p', ax17)).
% fof(11, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>~(nil=cons(X2,X1)))),file('/tmp/SRASS.s.p', ax21)).
% fof(21, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>((segmentP(X1,X2)&segmentP(X2,X1))=>X1=X2))),file('/tmp/SRASS.s.p', ax54)).
% fof(24, axiom,![X1]:(ssList(X1)=>segmentP(X1,nil)),file('/tmp/SRASS.s.p', ax57)).
% fof(96, conjecture,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:((((~(ssList(X4))|~(X2=X4))|~(X1=X3))|(![X5]:(ssItem(X5)=>![X6]:(ssList(X6)=>![X7]:((((~(ssList(X7))|~(cons(X5,nil)=X3))|~(app(app(X6,X3),X7)=X4))|?[X8]:((ssItem(X8)&memberP(X6,X8))<(X5,X8)))|?[X9]:((ssItem(X9)&memberP(X7,X9))<(X9,X5)))))&(~(nil=X4)|~(nil=X3))))|((~(nil=X2)|nil=X1)&(~(neq(X2,nil))|(neq(X1,nil)&segmentP(X2,X1)))))))),file('/tmp/SRASS.s.p', co1)).
% fof(97, negated_conjecture,~(![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:((((~(ssList(X4))|~(X2=X4))|~(X1=X3))|(![X5]:(ssItem(X5)=>![X6]:(ssList(X6)=>![X7]:((((~(ssList(X7))|~(cons(X5,nil)=X3))|~(app(app(X6,X3),X7)=X4))|?[X8]:((ssItem(X8)&memberP(X6,X8))<(X5,X8)))|?[X9]:((ssItem(X9)&memberP(X7,X9))<(X9,X5)))))&(~(nil=X4)|~(nil=X3))))|((~(nil=X2)|nil=X1)&(~(neq(X2,nil))|(neq(X1,nil)&segmentP(X2,X1))))))))),inference(assume_negation,[status(cth)],[96])).
% fof(103, negated_conjecture,~(![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:((((~(ssList(X4))|~(X2=X4))|~(X1=X3))|(![X5]:(ssItem(X5)=>![X6]:(ssList(X6)=>![X7]:((((~(ssList(X7))|~(cons(X5,nil)=X3))|~(app(app(X6,X3),X7)=X4))|?[X8]:((ssItem(X8)&memberP(X6,X8))<(X5,X8)))|?[X9]:((ssItem(X9)&memberP(X7,X9))<(X9,X5)))))&(~(nil=X4)|~(nil=X3))))|((~(nil=X2)|nil=X1)&(~(neq(X2,nil))|(neq(X1,nil)&segmentP(X2,X1))))))))),inference(fof_simplification,[status(thm)],[97,theory(equality)])).
% fof(124, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(segmentP(X1,X2))|?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&app(app(X3,X2),X4)=X1)))&(![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|~(app(app(X3,X2),X4)=X1)))|segmentP(X1,X2))))),inference(fof_nnf,[status(thm)],[4])).
% fof(125, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|((~(segmentP(X5,X6))|?[X7]:(ssList(X7)&?[X8]:(ssList(X8)&app(app(X7,X6),X8)=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(app(X9,X6),X10)=X5)))|segmentP(X5,X6))))),inference(variable_rename,[status(thm)],[124])).
% fof(126, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|((~(segmentP(X5,X6))|(ssList(esk5_2(X5,X6))&(ssList(esk6_2(X5,X6))&app(app(esk5_2(X5,X6),X6),esk6_2(X5,X6))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(app(X9,X6),X10)=X5)))|segmentP(X5,X6))))),inference(skolemize,[status(esa)],[125])).
% fof(127, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(app(X9,X6),X10)=X5))|~(ssList(X9)))|segmentP(X5,X6))&(~(segmentP(X5,X6))|(ssList(esk5_2(X5,X6))&(ssList(esk6_2(X5,X6))&app(app(esk5_2(X5,X6),X6),esk6_2(X5,X6))=X5))))|~(ssList(X6)))|~(ssList(X5))),inference(shift_quantors,[status(thm)],[126])).
% fof(128, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(app(X9,X6),X10)=X5))|~(ssList(X9)))|segmentP(X5,X6))|~(ssList(X6)))|~(ssList(X5)))&((((ssList(esk5_2(X5,X6))|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))&((((ssList(esk6_2(X5,X6))|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))&(((app(app(esk5_2(X5,X6),X6),esk6_2(X5,X6))=X5|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))))),inference(distribute,[status(thm)],[127])).
% cnf(132,plain,(segmentP(X1,X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|app(app(X3,X2),X4)!=X1|~ssList(X4)),inference(split_conjunct,[status(thm)],[128])).
% fof(133, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(neq(X1,X2))|~(X1=X2))&(X1=X2|neq(X1,X2))))),inference(fof_nnf,[status(thm)],[5])).
% fof(134, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))),inference(variable_rename,[status(thm)],[133])).
% fof(135, plain,![X3]:![X4]:((~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[134])).
% fof(136, plain,![X3]:![X4]:((((~(neq(X3,X4))|~(X3=X4))|~(ssList(X4)))|~(ssList(X3)))&(((X3=X4|neq(X3,X4))|~(ssList(X4)))|~(ssList(X3)))),inference(distribute,[status(thm)],[135])).
% cnf(137,plain,(neq(X1,X2)|X1=X2|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[136])).
% cnf(138,plain,(~ssList(X1)|~ssList(X2)|X1!=X2|~neq(X1,X2)),inference(split_conjunct,[status(thm)],[136])).
% cnf(143,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[7])).
% fof(161, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|~(nil=cons(X2,X1)))),inference(fof_nnf,[status(thm)],[11])).
% fof(162, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|~(nil=cons(X4,X3)))),inference(variable_rename,[status(thm)],[161])).
% fof(163, plain,![X3]:![X4]:((~(ssItem(X4))|~(nil=cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[162])).
% cnf(164,plain,(~ssList(X1)|nil!=cons(X2,X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[163])).
% fof(205, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(segmentP(X1,X2))|~(segmentP(X2,X1)))|X1=X2))),inference(fof_nnf,[status(thm)],[21])).
% fof(206, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(segmentP(X3,X4))|~(segmentP(X4,X3)))|X3=X4))),inference(variable_rename,[status(thm)],[205])).
% fof(207, plain,![X3]:![X4]:((~(ssList(X4))|((~(segmentP(X3,X4))|~(segmentP(X4,X3)))|X3=X4))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[206])).
% cnf(208,plain,(X1=X2|~ssList(X1)|~segmentP(X2,X1)|~segmentP(X1,X2)|~ssList(X2)),inference(split_conjunct,[status(thm)],[207])).
% fof(216, plain,![X1]:(~(ssList(X1))|segmentP(X1,nil)),inference(fof_nnf,[status(thm)],[24])).
% fof(217, plain,![X2]:(~(ssList(X2))|segmentP(X2,nil)),inference(variable_rename,[status(thm)],[216])).
% cnf(218,plain,(segmentP(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[217])).
% fof(568, negated_conjecture,?[X1]:(ssList(X1)&?[X2]:(ssList(X2)&?[X3]:(ssList(X3)&?[X4]:((((ssList(X4)&X2=X4)&X1=X3)&(?[X5]:(ssItem(X5)&?[X6]:(ssList(X6)&?[X7]:((((ssList(X7)&cons(X5,nil)=X3)&app(app(X6,X3),X7)=X4)&![X8]:((~(ssItem(X8))|~(memberP(X6,X8)))|~(lt(X5,X8))))&![X9]:((~(ssItem(X9))|~(memberP(X7,X9)))|~(lt(X9,X5))))))|(nil=X4&nil=X3)))&((nil=X2&~(nil=X1))|(neq(X2,nil)&(~(neq(X1,nil))|~(segmentP(X2,X1))))))))),inference(fof_nnf,[status(thm)],[103])).
% fof(569, negated_conjecture,?[X10]:(ssList(X10)&?[X11]:(ssList(X11)&?[X12]:(ssList(X12)&?[X13]:((((ssList(X13)&X11=X13)&X10=X12)&(?[X14]:(ssItem(X14)&?[X15]:(ssList(X15)&?[X16]:((((ssList(X16)&cons(X14,nil)=X12)&app(app(X15,X12),X16)=X13)&![X17]:((~(ssItem(X17))|~(memberP(X15,X17)))|~(lt(X14,X17))))&![X18]:((~(ssItem(X18))|~(memberP(X16,X18)))|~(lt(X18,X14))))))|(nil=X13&nil=X12)))&((nil=X11&~(nil=X10))|(neq(X11,nil)&(~(neq(X10,nil))|~(segmentP(X11,X10))))))))),inference(variable_rename,[status(thm)],[568])).
% fof(570, negated_conjecture,(ssList(esk48_0)&(ssList(esk49_0)&(ssList(esk50_0)&((((ssList(esk51_0)&esk49_0=esk51_0)&esk48_0=esk50_0)&((ssItem(esk52_0)&(ssList(esk53_0)&((((ssList(esk54_0)&cons(esk52_0,nil)=esk50_0)&app(app(esk53_0,esk50_0),esk54_0)=esk51_0)&![X17]:((~(ssItem(X17))|~(memberP(esk53_0,X17)))|~(lt(esk52_0,X17))))&![X18]:((~(ssItem(X18))|~(memberP(esk54_0,X18)))|~(lt(X18,esk52_0))))))|(nil=esk51_0&nil=esk50_0)))&((nil=esk49_0&~(nil=esk48_0))|(neq(esk49_0,nil)&(~(neq(esk48_0,nil))|~(segmentP(esk49_0,esk48_0))))))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,![X17]:![X18]:(((((((((((~(ssItem(X18))|~(memberP(esk54_0,X18)))|~(lt(X18,esk52_0)))&(((~(ssItem(X17))|~(memberP(esk53_0,X17)))|~(lt(esk52_0,X17)))&((ssList(esk54_0)&cons(esk52_0,nil)=esk50_0)&app(app(esk53_0,esk50_0),esk54_0)=esk51_0)))&ssList(esk53_0))&ssItem(esk52_0))|(nil=esk51_0&nil=esk50_0))&((ssList(esk51_0)&esk49_0=esk51_0)&esk48_0=esk50_0))&((nil=esk49_0&~(nil=esk48_0))|(neq(esk49_0,nil)&(~(neq(esk48_0,nil))|~(segmentP(esk49_0,esk48_0))))))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(shift_quantors,[status(thm)],[570])).
% fof(572, negated_conjecture,![X17]:![X18]:((((((((((nil=esk51_0|((~(ssItem(X18))|~(memberP(esk54_0,X18)))|~(lt(X18,esk52_0))))&(nil=esk50_0|((~(ssItem(X18))|~(memberP(esk54_0,X18)))|~(lt(X18,esk52_0)))))&(((nil=esk51_0|((~(ssItem(X17))|~(memberP(esk53_0,X17)))|~(lt(esk52_0,X17))))&(nil=esk50_0|((~(ssItem(X17))|~(memberP(esk53_0,X17)))|~(lt(esk52_0,X17)))))&((((nil=esk51_0|ssList(esk54_0))&(nil=esk50_0|ssList(esk54_0)))&((nil=esk51_0|cons(esk52_0,nil)=esk50_0)&(nil=esk50_0|cons(esk52_0,nil)=esk50_0)))&((nil=esk51_0|app(app(esk53_0,esk50_0),esk54_0)=esk51_0)&(nil=esk50_0|app(app(esk53_0,esk50_0),esk54_0)=esk51_0)))))&((nil=esk51_0|ssList(esk53_0))&(nil=esk50_0|ssList(esk53_0))))&((nil=esk51_0|ssItem(esk52_0))&(nil=esk50_0|ssItem(esk52_0))))&((ssList(esk51_0)&esk49_0=esk51_0)&esk48_0=esk50_0))&(((neq(esk49_0,nil)|nil=esk49_0)&((~(neq(esk48_0,nil))|~(segmentP(esk49_0,esk48_0)))|nil=esk49_0))&((neq(esk49_0,nil)|~(nil=esk48_0))&((~(neq(esk48_0,nil))|~(segmentP(esk49_0,esk48_0)))|~(nil=esk48_0)))))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(distribute,[status(thm)],[571])).
% cnf(573,negated_conjecture,(ssList(esk48_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(574,negated_conjecture,(ssList(esk49_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(577,negated_conjecture,(neq(esk49_0,nil)|nil!=esk48_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(578,negated_conjecture,(nil=esk49_0|~segmentP(esk49_0,esk48_0)|~neq(esk48_0,nil)),inference(split_conjunct,[status(thm)],[572])).
% cnf(580,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(581,negated_conjecture,(esk49_0=esk51_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(584,negated_conjecture,(ssItem(esk52_0)|nil=esk51_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(585,negated_conjecture,(ssList(esk53_0)|nil=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(587,negated_conjecture,(app(app(esk53_0,esk50_0),esk54_0)=esk51_0|nil=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(590,negated_conjecture,(cons(esk52_0,nil)=esk50_0|nil=esk51_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(591,negated_conjecture,(ssList(esk54_0)|nil=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(597,negated_conjecture,(ssList(esk50_0)),inference(rw,[status(thm)],[573,580,theory(equality)])).
% cnf(598,negated_conjecture,(ssList(esk51_0)),inference(rw,[status(thm)],[574,581,theory(equality)])).
% cnf(601,negated_conjecture,(neq(esk51_0,nil)|esk48_0!=nil),inference(rw,[status(thm)],[577,581,theory(equality)])).
% cnf(602,negated_conjecture,(neq(esk51_0,nil)|esk50_0!=nil),inference(rw,[status(thm)],[601,580,theory(equality)])).
% cnf(608,negated_conjecture,(esk51_0=nil|~neq(esk48_0,nil)|~segmentP(esk49_0,esk48_0)),inference(rw,[status(thm)],[578,581,theory(equality)])).
% cnf(609,negated_conjecture,(esk51_0=nil|~neq(esk50_0,nil)|~segmentP(esk49_0,esk48_0)),inference(rw,[status(thm)],[608,580,theory(equality)])).
% cnf(610,negated_conjecture,(esk51_0=nil|~neq(esk50_0,nil)|~segmentP(esk51_0,esk50_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[609,581,theory(equality)]),580,theory(equality)])).
% cnf(615,negated_conjecture,(esk51_0=nil|esk50_0!=nil|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[164,590,theory(equality)])).
% cnf(618,negated_conjecture,(esk51_0=nil|esk50_0!=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[615,143,theory(equality)])).
% cnf(619,negated_conjecture,(esk51_0=nil|esk50_0!=nil|~ssItem(esk52_0)),inference(cn,[status(thm)],[618,theory(equality)])).
% cnf(678,plain,(~ssList(X1)|~neq(X1,X1)),inference(er,[status(thm)],[138,theory(equality)])).
% cnf(929,negated_conjecture,(segmentP(X1,esk50_0)|esk50_0=nil|esk51_0!=X1|~ssList(esk54_0)|~ssList(esk53_0)|~ssList(esk50_0)|~ssList(X1)),inference(spm,[status(thm)],[132,587,theory(equality)])).
% cnf(937,negated_conjecture,(segmentP(X1,esk50_0)|esk50_0=nil|esk51_0!=X1|~ssList(esk54_0)|~ssList(esk53_0)|$false|~ssList(X1)),inference(rw,[status(thm)],[929,597,theory(equality)])).
% cnf(938,negated_conjecture,(segmentP(X1,esk50_0)|esk50_0=nil|esk51_0!=X1|~ssList(esk54_0)|~ssList(esk53_0)|~ssList(X1)),inference(cn,[status(thm)],[937,theory(equality)])).
% cnf(1557,negated_conjecture,(esk51_0=nil|esk50_0!=nil),inference(csr,[status(thm)],[619,584])).
% cnf(2190,negated_conjecture,(esk50_0=nil|segmentP(X1,esk50_0)|esk51_0!=X1|~ssList(esk54_0)|~ssList(X1)),inference(csr,[status(thm)],[938,585])).
% cnf(2191,negated_conjecture,(esk50_0=nil|segmentP(X1,esk50_0)|esk51_0!=X1|~ssList(X1)),inference(csr,[status(thm)],[2190,591])).
% cnf(2192,negated_conjecture,(esk50_0=nil|segmentP(esk51_0,esk50_0)|~ssList(esk51_0)),inference(er,[status(thm)],[2191,theory(equality)])).
% cnf(2193,negated_conjecture,(esk50_0=nil|segmentP(esk51_0,esk50_0)|$false),inference(rw,[status(thm)],[2192,598,theory(equality)])).
% cnf(2194,negated_conjecture,(esk50_0=nil|segmentP(esk51_0,esk50_0)),inference(cn,[status(thm)],[2193,theory(equality)])).
% cnf(2195,negated_conjecture,(esk50_0=esk51_0|esk50_0=nil|~segmentP(esk50_0,esk51_0)|~ssList(esk51_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[208,2194,theory(equality)])).
% cnf(2201,negated_conjecture,(esk51_0=nil|esk50_0=nil|~neq(esk50_0,nil)),inference(spm,[status(thm)],[610,2194,theory(equality)])).
% cnf(2202,negated_conjecture,(esk50_0=esk51_0|esk50_0=nil|~segmentP(esk50_0,esk51_0)|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[2195,598,theory(equality)])).
% cnf(2203,negated_conjecture,(esk50_0=esk51_0|esk50_0=nil|~segmentP(esk50_0,esk51_0)|$false|$false),inference(rw,[status(thm)],[2202,597,theory(equality)])).
% cnf(2204,negated_conjecture,(esk50_0=esk51_0|esk50_0=nil|~segmentP(esk50_0,esk51_0)),inference(cn,[status(thm)],[2203,theory(equality)])).
% cnf(2233,negated_conjecture,(esk51_0=nil|~neq(esk50_0,nil)),inference(csr,[status(thm)],[2201,1557])).
% cnf(2235,negated_conjecture,(esk51_0=nil|esk50_0=nil|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[2233,137,theory(equality)])).
% cnf(2236,negated_conjecture,(esk51_0=nil|esk50_0=nil|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[2235,143,theory(equality)])).
% cnf(2237,negated_conjecture,(esk51_0=nil|esk50_0=nil|$false|$false),inference(rw,[status(thm)],[2236,597,theory(equality)])).
% cnf(2238,negated_conjecture,(esk51_0=nil|esk50_0=nil),inference(cn,[status(thm)],[2237,theory(equality)])).
% cnf(2239,negated_conjecture,(esk51_0=nil),inference(csr,[status(thm)],[2238,1557])).
% cnf(2243,negated_conjecture,(esk50_0=nil|nil=esk50_0|~segmentP(esk50_0,esk51_0)),inference(rw,[status(thm)],[2204,2239,theory(equality)])).
% cnf(2244,negated_conjecture,(esk50_0=nil|nil=esk50_0|~segmentP(esk50_0,nil)),inference(rw,[status(thm)],[2243,2239,theory(equality)])).
% cnf(2245,negated_conjecture,(esk50_0=nil|~segmentP(esk50_0,nil)),inference(cn,[status(thm)],[2244,theory(equality)])).
% cnf(2279,negated_conjecture,(neq(nil,nil)|esk50_0!=nil),inference(rw,[status(thm)],[602,2239,theory(equality)])).
% cnf(2288,negated_conjecture,(esk50_0=nil|~ssList(esk50_0)),inference(spm,[status(thm)],[2245,218,theory(equality)])).
% cnf(2289,negated_conjecture,(esk50_0=nil|$false),inference(rw,[status(thm)],[2288,597,theory(equality)])).
% cnf(2290,negated_conjecture,(esk50_0=nil),inference(cn,[status(thm)],[2289,theory(equality)])).
% cnf(2331,negated_conjecture,(neq(nil,nil)|$false),inference(rw,[status(thm)],[2279,2290,theory(equality)])).
% cnf(2332,negated_conjecture,(neq(nil,nil)),inference(cn,[status(thm)],[2331,theory(equality)])).
% cnf(2333,negated_conjecture,(~ssList(nil)),inference(spm,[status(thm)],[678,2332,theory(equality)])).
% cnf(2335,negated_conjecture,($false),inference(rw,[status(thm)],[2333,143,theory(equality)])).
% cnf(2336,negated_conjecture,($false),inference(cn,[status(thm)],[2335,theory(equality)])).
% cnf(2337,negated_conjecture,($false),2336,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 305
% # ...of these trivial                : 2
% # ...subsumed                        : 26
% # ...remaining for further processing: 277
% # Other redundant clauses eliminated : 69
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 3
% # Backward-rewritten                 : 68
% # Generated clauses                  : 895
% # ...of the previous two non-trivial : 769
% # Contextual simplify-reflections    : 56
% # Paramodulations                    : 802
% # Factorizations                     : 0
% # Equation resolutions               : 93
% # Current number of processed clauses: 200
% #    Positive orientable unit clauses: 23
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 2
% #    Non-unit-clauses                : 175
% # Current number of unprocessed clauses: 447
% # ...number of literals in the above : 3190
% # Clause-clause subsumption calls (NU) : 1367
% # Rec. Clause-clause subsumption calls : 426
% # Unit Clause-clause subsumption calls : 60
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 7
% # Indexed BW rewrite successes       : 7
% # Backwards rewriting index:   232 leaves,   1.35+/-1.139 terms/leaf
% # Paramod-from index:          106 leaves,   1.00+/-0.000 terms/leaf
% # Paramod-into index:          196 leaves,   1.24+/-0.984 terms/leaf
% # -------------------------------------------------
% # User time              : 0.080 s
% # System time            : 0.005 s
% # Total time             : 0.085 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.23 CPU 0.29 WC
% FINAL PrfWatch: 0.23 CPU 0.29 WC
% SZS output end Solution for /tmp/SystemOnTPTP30309/SWC109+1.tptp
% 
%------------------------------------------------------------------------------