%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SWC402+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 : art03.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 08:03:35 EST 2010

% Result   : Theorem 3.66s
% Output   : Solution 3.66s
% 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/SystemOnTPTP31655/SWC402+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP31655/SWC402+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP31655/SWC402+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 31751
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time     : 0.030 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 1.91 CPU 2.01 WC
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>(memberP(X1,X2)<=>?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&app(X3,cons(X2,X4))=X1))))),file('/tmp/SRASS.s.p', ax3)).
% fof(4, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>ssList(cons(X2,X1)))),file('/tmp/SRASS.s.p', ax16)).
% fof(5, axiom,ssList(nil),file('/tmp/SRASS.s.p', ax17)).
% fof(10, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>ssList(app(X1,X2)))),file('/tmp/SRASS.s.p', ax26)).
% fof(16, axiom,![X1]:(ssItem(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>(memberP(app(X2,X3),X1)<=>(memberP(X2,X1)|memberP(X3,X1)))))),file('/tmp/SRASS.s.p', ax36)).
% fof(22, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>(app(X2,X3)=app(X2,X1)=>X3=X1)))),file('/tmp/SRASS.s.p', ax80)).
% fof(24, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>app(app(X1,X2),X3)=app(X1,app(X2,X3))))),file('/tmp/SRASS.s.p', ax82)).
% fof(25, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(nil=app(X1,X2)<=>(nil=X2&nil=X1)))),file('/tmp/SRASS.s.p', ax83)).
% fof(26, axiom,![X1]:(ssList(X1)=>app(X1,nil)=X1),file('/tmp/SRASS.s.p', ax84)).
% fof(48, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(frontsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X2,X3)=X1)))),file('/tmp/SRASS.s.p', ax5)).
% fof(49, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(rearsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X3,X2)=X1)))),file('/tmp/SRASS.s.p', ax6)).
% fof(52, axiom,![X1]:(ssList(X1)=>(frontsegP(nil,X1)<=>nil=X1)),file('/tmp/SRASS.s.p', ax46)).
% fof(53, axiom,![X1]:(ssList(X1)=>(rearsegP(nil,X1)<=>nil=X1)),file('/tmp/SRASS.s.p', ax52)).
% fof(60, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>(frontsegP(X1,X2)=>frontsegP(app(X1,X3),X2))))),file('/tmp/SRASS.s.p', ax43)).
% fof(61, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>(rearsegP(X1,X2)=>rearsegP(app(X3,X1),X2))))),file('/tmp/SRASS.s.p', ax50)).
% fof(64, axiom,![X1]:(ssList(X1)=>frontsegP(X1,nil)),file('/tmp/SRASS.s.p', ax45)).
% fof(69, axiom,![X1]:(ssList(X1)=>frontsegP(X1,X1)),file('/tmp/SRASS.s.p', ax42)).
% fof(96, conjecture,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(((((~(ssList(X4))|~(X2=X4))|~(X1=X3))|![X5]:(ssList(X5)=>![X6]:((((~(ssList(X6))|~(app(app(X5,X3),X6)=X4))|~(totalorderedP(X3)))|?[X7]:(ssItem(X7)&?[X8]:((ssList(X8)&app(X8,cons(X7,nil))=X5)&?[X9]:(ssItem(X9)&?[X10]:((ssList(X10)&app(cons(X9,nil),X10)=X3)&leq(X7,X9))))))|?[X11]:(ssItem(X11)&?[X12]:((ssList(X12)&app(cons(X11,nil),X12)=X6)&?[X13]:(ssItem(X13)&?[X14]:((ssList(X14)&app(X14,cons(X13,nil))=X3)&leq(X13,X11))))))))|![X15]:((~(ssItem(X15))|~(memberP(X1,X15)))|memberP(X2,X15)))|(~(nil=X4)&nil=X3))))),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]:(ssList(X5)=>![X6]:((((~(ssList(X6))|~(app(app(X5,X3),X6)=X4))|~(totalorderedP(X3)))|?[X7]:(ssItem(X7)&?[X8]:((ssList(X8)&app(X8,cons(X7,nil))=X5)&?[X9]:(ssItem(X9)&?[X10]:((ssList(X10)&app(cons(X9,nil),X10)=X3)&leq(X7,X9))))))|?[X11]:(ssItem(X11)&?[X12]:((ssList(X12)&app(cons(X11,nil),X12)=X6)&?[X13]:(ssItem(X13)&?[X14]:((ssList(X14)&app(X14,cons(X13,nil))=X3)&leq(X13,X11))))))))|![X15]:((~(ssItem(X15))|~(memberP(X1,X15)))|memberP(X2,X15)))|(~(nil=X4)&nil=X3)))))),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]:(ssList(X5)=>![X6]:((((~(ssList(X6))|~(app(app(X5,X3),X6)=X4))|~(totalorderedP(X3)))|?[X7]:(ssItem(X7)&?[X8]:((ssList(X8)&app(X8,cons(X7,nil))=X5)&?[X9]:(ssItem(X9)&?[X10]:((ssList(X10)&app(cons(X9,nil),X10)=X3)&leq(X7,X9))))))|?[X11]:(ssItem(X11)&?[X12]:((ssList(X12)&app(cons(X11,nil),X12)=X6)&?[X13]:(ssItem(X13)&?[X14]:((ssList(X14)&app(X14,cons(X13,nil))=X3)&leq(X13,X11))))))))|![X15]:((~(ssItem(X15))|~(memberP(X1,X15)))|memberP(X2,X15)))|(~(nil=X4)&nil=X3)))))),inference(fof_simplification,[status(thm)],[97,theory(equality)])).
% fof(109, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|((~(memberP(X1,X2))|?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&app(X3,cons(X2,X4))=X1)))&(![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|~(app(X3,cons(X2,X4))=X1)))|memberP(X1,X2))))),inference(fof_nnf,[status(thm)],[2])).
% fof(110, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssItem(X6))|((~(memberP(X5,X6))|?[X7]:(ssList(X7)&?[X8]:(ssList(X8)&app(X7,cons(X6,X8))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(X9,cons(X6,X10))=X5)))|memberP(X5,X6))))),inference(variable_rename,[status(thm)],[109])).
% fof(111, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssItem(X6))|((~(memberP(X5,X6))|(ssList(esk3_2(X5,X6))&(ssList(esk4_2(X5,X6))&app(esk3_2(X5,X6),cons(X6,esk4_2(X5,X6)))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(X9,cons(X6,X10))=X5)))|memberP(X5,X6))))),inference(skolemize,[status(esa)],[110])).
% fof(112, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(X9,cons(X6,X10))=X5))|~(ssList(X9)))|memberP(X5,X6))&(~(memberP(X5,X6))|(ssList(esk3_2(X5,X6))&(ssList(esk4_2(X5,X6))&app(esk3_2(X5,X6),cons(X6,esk4_2(X5,X6)))=X5))))|~(ssItem(X6)))|~(ssList(X5))),inference(shift_quantors,[status(thm)],[111])).
% fof(113, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(X9,cons(X6,X10))=X5))|~(ssList(X9)))|memberP(X5,X6))|~(ssItem(X6)))|~(ssList(X5)))&((((ssList(esk3_2(X5,X6))|~(memberP(X5,X6)))|~(ssItem(X6)))|~(ssList(X5)))&((((ssList(esk4_2(X5,X6))|~(memberP(X5,X6)))|~(ssItem(X6)))|~(ssList(X5)))&(((app(esk3_2(X5,X6),cons(X6,esk4_2(X5,X6)))=X5|~(memberP(X5,X6)))|~(ssItem(X6)))|~(ssList(X5)))))),inference(distribute,[status(thm)],[112])).
% cnf(114,plain,(app(esk3_2(X1,X2),cons(X2,esk4_2(X1,X2)))=X1|~ssList(X1)|~ssItem(X2)|~memberP(X1,X2)),inference(split_conjunct,[status(thm)],[113])).
% cnf(115,plain,(ssList(esk4_2(X1,X2))|~ssList(X1)|~ssItem(X2)|~memberP(X1,X2)),inference(split_conjunct,[status(thm)],[113])).
% cnf(116,plain,(ssList(esk3_2(X1,X2))|~ssList(X1)|~ssItem(X2)|~memberP(X1,X2)),inference(split_conjunct,[status(thm)],[113])).
% fof(131, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|ssList(cons(X2,X1)))),inference(fof_nnf,[status(thm)],[4])).
% fof(132, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|ssList(cons(X4,X3)))),inference(variable_rename,[status(thm)],[131])).
% fof(133, plain,![X3]:![X4]:((~(ssItem(X4))|ssList(cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[132])).
% cnf(134,plain,(ssList(cons(X2,X1))|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[133])).
% cnf(135,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[5])).
% fof(157, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|ssList(app(X1,X2)))),inference(fof_nnf,[status(thm)],[10])).
% fof(158, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|ssList(app(X3,X4)))),inference(variable_rename,[status(thm)],[157])).
% fof(159, plain,![X3]:![X4]:((~(ssList(X4))|ssList(app(X3,X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[158])).
% cnf(160,plain,(ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[159])).
% fof(179, plain,![X1]:(~(ssItem(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|((~(memberP(app(X2,X3),X1))|(memberP(X2,X1)|memberP(X3,X1)))&((~(memberP(X2,X1))&~(memberP(X3,X1)))|memberP(app(X2,X3),X1)))))),inference(fof_nnf,[status(thm)],[16])).
% fof(180, plain,![X4]:(~(ssItem(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|((~(memberP(app(X5,X6),X4))|(memberP(X5,X4)|memberP(X6,X4)))&((~(memberP(X5,X4))&~(memberP(X6,X4)))|memberP(app(X5,X6),X4)))))),inference(variable_rename,[status(thm)],[179])).
% fof(181, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|((~(memberP(app(X5,X6),X4))|(memberP(X5,X4)|memberP(X6,X4)))&((~(memberP(X5,X4))&~(memberP(X6,X4)))|memberP(app(X5,X6),X4))))|~(ssList(X5)))|~(ssItem(X4))),inference(shift_quantors,[status(thm)],[180])).
% fof(182, plain,![X4]:![X5]:![X6]:(((((~(memberP(app(X5,X6),X4))|(memberP(X5,X4)|memberP(X6,X4)))|~(ssList(X6)))|~(ssList(X5)))|~(ssItem(X4)))&(((((~(memberP(X5,X4))|memberP(app(X5,X6),X4))|~(ssList(X6)))|~(ssList(X5)))|~(ssItem(X4)))&((((~(memberP(X6,X4))|memberP(app(X5,X6),X4))|~(ssList(X6)))|~(ssList(X5)))|~(ssItem(X4))))),inference(distribute,[status(thm)],[181])).
% cnf(183,plain,(memberP(app(X2,X3),X1)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|~memberP(X3,X1)),inference(split_conjunct,[status(thm)],[182])).
% cnf(184,plain,(memberP(app(X2,X3),X1)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|~memberP(X2,X1)),inference(split_conjunct,[status(thm)],[182])).
% cnf(185,plain,(memberP(X3,X1)|memberP(X2,X1)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|~memberP(app(X2,X3),X1)),inference(split_conjunct,[status(thm)],[182])).
% fof(204, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X2,X3)=app(X2,X1))|X3=X1)))),inference(fof_nnf,[status(thm)],[22])).
% fof(205, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4)))),inference(variable_rename,[status(thm)],[204])).
% fof(206, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[205])).
% cnf(207,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X2,X3)!=app(X2,X1)|~ssList(X3)),inference(split_conjunct,[status(thm)],[206])).
% fof(212, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|app(app(X1,X2),X3)=app(X1,app(X2,X3))))),inference(fof_nnf,[status(thm)],[24])).
% fof(213, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|app(app(X4,X5),X6)=app(X4,app(X5,X6))))),inference(variable_rename,[status(thm)],[212])).
% fof(214, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|app(app(X4,X5),X6)=app(X4,app(X5,X6)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[213])).
% cnf(215,plain,(app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X1)|~ssList(X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[214])).
% fof(216, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(nil=app(X1,X2))|(nil=X2&nil=X1))&((~(nil=X2)|~(nil=X1))|nil=app(X1,X2))))),inference(fof_nnf,[status(thm)],[25])).
% fof(217, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(nil=app(X3,X4))|(nil=X4&nil=X3))&((~(nil=X4)|~(nil=X3))|nil=app(X3,X4))))),inference(variable_rename,[status(thm)],[216])).
% fof(218, plain,![X3]:![X4]:((~(ssList(X4))|((~(nil=app(X3,X4))|(nil=X4&nil=X3))&((~(nil=X4)|~(nil=X3))|nil=app(X3,X4))))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[217])).
% fof(219, plain,![X3]:![X4]:(((((nil=X4|~(nil=app(X3,X4)))|~(ssList(X4)))|~(ssList(X3)))&(((nil=X3|~(nil=app(X3,X4)))|~(ssList(X4)))|~(ssList(X3))))&((((~(nil=X4)|~(nil=X3))|nil=app(X3,X4))|~(ssList(X4)))|~(ssList(X3)))),inference(distribute,[status(thm)],[218])).
% cnf(222,plain,(nil=X2|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[219])).
% fof(223, plain,![X1]:(~(ssList(X1))|app(X1,nil)=X1),inference(fof_nnf,[status(thm)],[26])).
% fof(224, plain,![X2]:(~(ssList(X2))|app(X2,nil)=X2),inference(variable_rename,[status(thm)],[223])).
% cnf(225,plain,(app(X1,nil)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[224])).
% fof(357, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(frontsegP(X1,X2))|?[X3]:(ssList(X3)&app(X2,X3)=X1))&(![X3]:(~(ssList(X3))|~(app(X2,X3)=X1))|frontsegP(X1,X2))))),inference(fof_nnf,[status(thm)],[48])).
% fof(358, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(frontsegP(X4,X5))|?[X6]:(ssList(X6)&app(X5,X6)=X4))&(![X7]:(~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))))),inference(variable_rename,[status(thm)],[357])).
% fof(359, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(frontsegP(X4,X5))|(ssList(esk33_2(X4,X5))&app(X5,esk33_2(X4,X5))=X4))&(![X7]:(~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))))),inference(skolemize,[status(esa)],[358])).
% fof(360, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))&(~(frontsegP(X4,X5))|(ssList(esk33_2(X4,X5))&app(X5,esk33_2(X4,X5))=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[359])).
% fof(361, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk33_2(X4,X5))|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(X5,esk33_2(X4,X5))=X4|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[360])).
% cnf(362,plain,(app(X2,esk33_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[361])).
% cnf(363,plain,(ssList(esk33_2(X1,X2))|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[361])).
% cnf(364,plain,(frontsegP(X1,X2)|~ssList(X1)|~ssList(X2)|app(X2,X3)!=X1|~ssList(X3)),inference(split_conjunct,[status(thm)],[361])).
% fof(365, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(rearsegP(X1,X2))|?[X3]:(ssList(X3)&app(X3,X2)=X1))&(![X3]:(~(ssList(X3))|~(app(X3,X2)=X1))|rearsegP(X1,X2))))),inference(fof_nnf,[status(thm)],[49])).
% fof(366, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(rearsegP(X4,X5))|?[X6]:(ssList(X6)&app(X6,X5)=X4))&(![X7]:(~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))))),inference(variable_rename,[status(thm)],[365])).
% fof(367, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(rearsegP(X4,X5))|(ssList(esk34_2(X4,X5))&app(esk34_2(X4,X5),X5)=X4))&(![X7]:(~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))))),inference(skolemize,[status(esa)],[366])).
% fof(368, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))&(~(rearsegP(X4,X5))|(ssList(esk34_2(X4,X5))&app(esk34_2(X4,X5),X5)=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[367])).
% fof(369, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk34_2(X4,X5))|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(esk34_2(X4,X5),X5)=X4|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[368])).
% cnf(370,plain,(app(esk34_2(X1,X2),X2)=X1|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[369])).
% cnf(371,plain,(ssList(esk34_2(X1,X2))|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[369])).
% fof(385, plain,![X1]:(~(ssList(X1))|((~(frontsegP(nil,X1))|nil=X1)&(~(nil=X1)|frontsegP(nil,X1)))),inference(fof_nnf,[status(thm)],[52])).
% fof(386, plain,![X2]:(~(ssList(X2))|((~(frontsegP(nil,X2))|nil=X2)&(~(nil=X2)|frontsegP(nil,X2)))),inference(variable_rename,[status(thm)],[385])).
% fof(387, plain,![X2]:(((~(frontsegP(nil,X2))|nil=X2)|~(ssList(X2)))&((~(nil=X2)|frontsegP(nil,X2))|~(ssList(X2)))),inference(distribute,[status(thm)],[386])).
% cnf(388,plain,(frontsegP(nil,X1)|~ssList(X1)|nil!=X1),inference(split_conjunct,[status(thm)],[387])).
% fof(390, plain,![X1]:(~(ssList(X1))|((~(rearsegP(nil,X1))|nil=X1)&(~(nil=X1)|rearsegP(nil,X1)))),inference(fof_nnf,[status(thm)],[53])).
% fof(391, plain,![X2]:(~(ssList(X2))|((~(rearsegP(nil,X2))|nil=X2)&(~(nil=X2)|rearsegP(nil,X2)))),inference(variable_rename,[status(thm)],[390])).
% fof(392, plain,![X2]:(((~(rearsegP(nil,X2))|nil=X2)|~(ssList(X2)))&((~(nil=X2)|rearsegP(nil,X2))|~(ssList(X2)))),inference(distribute,[status(thm)],[391])).
% cnf(393,plain,(rearsegP(nil,X1)|~ssList(X1)|nil!=X1),inference(split_conjunct,[status(thm)],[392])).
% fof(443, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(frontsegP(X1,X2))|frontsegP(app(X1,X3),X2))))),inference(fof_nnf,[status(thm)],[60])).
% fof(444, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(frontsegP(X4,X5))|frontsegP(app(X4,X6),X5))))),inference(variable_rename,[status(thm)],[443])).
% fof(445, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(frontsegP(X4,X5))|frontsegP(app(X4,X6),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[444])).
% cnf(446,plain,(frontsegP(app(X1,X3),X2)|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[445])).
% fof(447, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(rearsegP(X1,X2))|rearsegP(app(X3,X1),X2))))),inference(fof_nnf,[status(thm)],[61])).
% fof(448, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5))))),inference(variable_rename,[status(thm)],[447])).
% fof(449, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[448])).
% cnf(450,plain,(rearsegP(app(X3,X1),X2)|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[449])).
% fof(458, plain,![X1]:(~(ssList(X1))|frontsegP(X1,nil)),inference(fof_nnf,[status(thm)],[64])).
% fof(459, plain,![X2]:(~(ssList(X2))|frontsegP(X2,nil)),inference(variable_rename,[status(thm)],[458])).
% cnf(460,plain,(frontsegP(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[459])).
% fof(474, plain,![X1]:(~(ssList(X1))|frontsegP(X1,X1)),inference(fof_nnf,[status(thm)],[69])).
% fof(475, plain,![X2]:(~(ssList(X2))|frontsegP(X2,X2)),inference(variable_rename,[status(thm)],[474])).
% cnf(476,plain,(frontsegP(X1,X1)|~ssList(X1)),inference(split_conjunct,[status(thm)],[475])).
% fof(568, negated_conjecture,?[X1]:(ssList(X1)&?[X2]:(ssList(X2)&?[X3]:(ssList(X3)&?[X4]:(((((ssList(X4)&X2=X4)&X1=X3)&?[X5]:(ssList(X5)&?[X6]:((((ssList(X6)&app(app(X5,X3),X6)=X4)&totalorderedP(X3))&![X7]:(~(ssItem(X7))|![X8]:((~(ssList(X8))|~(app(X8,cons(X7,nil))=X5))|![X9]:(~(ssItem(X9))|![X10]:((~(ssList(X10))|~(app(cons(X9,nil),X10)=X3))|~(leq(X7,X9)))))))&![X11]:(~(ssItem(X11))|![X12]:((~(ssList(X12))|~(app(cons(X11,nil),X12)=X6))|![X13]:(~(ssItem(X13))|![X14]:((~(ssList(X14))|~(app(X14,cons(X13,nil))=X3))|~(leq(X13,X11)))))))))&?[X15]:((ssItem(X15)&memberP(X1,X15))&~(memberP(X2,X15))))&(nil=X4|~(nil=X3)))))),inference(fof_nnf,[status(thm)],[103])).
% fof(569, negated_conjecture,?[X16]:(ssList(X16)&?[X17]:(ssList(X17)&?[X18]:(ssList(X18)&?[X19]:(((((ssList(X19)&X17=X19)&X16=X18)&?[X20]:(ssList(X20)&?[X21]:((((ssList(X21)&app(app(X20,X18),X21)=X19)&totalorderedP(X18))&![X22]:(~(ssItem(X22))|![X23]:((~(ssList(X23))|~(app(X23,cons(X22,nil))=X20))|![X24]:(~(ssItem(X24))|![X25]:((~(ssList(X25))|~(app(cons(X24,nil),X25)=X18))|~(leq(X22,X24)))))))&![X26]:(~(ssItem(X26))|![X27]:((~(ssList(X27))|~(app(cons(X26,nil),X27)=X21))|![X28]:(~(ssItem(X28))|![X29]:((~(ssList(X29))|~(app(X29,cons(X28,nil))=X18))|~(leq(X28,X26)))))))))&?[X30]:((ssItem(X30)&memberP(X16,X30))&~(memberP(X17,X30))))&(nil=X19|~(nil=X18)))))),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)&(ssList(esk52_0)&((((ssList(esk53_0)&app(app(esk52_0,esk50_0),esk53_0)=esk51_0)&totalorderedP(esk50_0))&![X22]:(~(ssItem(X22))|![X23]:((~(ssList(X23))|~(app(X23,cons(X22,nil))=esk52_0))|![X24]:(~(ssItem(X24))|![X25]:((~(ssList(X25))|~(app(cons(X24,nil),X25)=esk50_0))|~(leq(X22,X24)))))))&![X26]:(~(ssItem(X26))|![X27]:((~(ssList(X27))|~(app(cons(X26,nil),X27)=esk53_0))|![X28]:(~(ssItem(X28))|![X29]:((~(ssList(X29))|~(app(X29,cons(X28,nil))=esk50_0))|~(leq(X28,X26)))))))))&((ssItem(esk54_0)&memberP(esk48_0,esk54_0))&~(memberP(esk49_0,esk54_0))))&(nil=esk51_0|~(nil=esk50_0)))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,![X22]:![X23]:![X24]:![X25]:![X26]:![X27]:![X28]:![X29]:(((((((((((((~(ssList(X29))|~(app(X29,cons(X28,nil))=esk50_0))|~(leq(X28,X26)))|~(ssItem(X28)))|(~(ssList(X27))|~(app(cons(X26,nil),X27)=esk53_0)))|~(ssItem(X26)))&((((((~(ssList(X25))|~(app(cons(X24,nil),X25)=esk50_0))|~(leq(X22,X24)))|~(ssItem(X24)))|(~(ssList(X23))|~(app(X23,cons(X22,nil))=esk52_0)))|~(ssItem(X22)))&((ssList(esk53_0)&app(app(esk52_0,esk50_0),esk53_0)=esk51_0)&totalorderedP(esk50_0))))&ssList(esk52_0))&((ssList(esk51_0)&esk49_0=esk51_0)&esk48_0=esk50_0))&((ssItem(esk54_0)&memberP(esk48_0,esk54_0))&~(memberP(esk49_0,esk54_0))))&(nil=esk51_0|~(nil=esk50_0)))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(shift_quantors,[status(thm)],[570])).
% cnf(572,negated_conjecture,(ssList(esk48_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(573,negated_conjecture,(ssList(esk49_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(576,negated_conjecture,(~memberP(esk49_0,esk54_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(577,negated_conjecture,(memberP(esk48_0,esk54_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(578,negated_conjecture,(ssItem(esk54_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(579,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(580,negated_conjecture,(esk49_0=esk51_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(582,negated_conjecture,(ssList(esk52_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(584,negated_conjecture,(app(app(esk52_0,esk50_0),esk53_0)=esk51_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(585,negated_conjecture,(ssList(esk53_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(588,negated_conjecture,(~memberP(esk51_0,esk54_0)),inference(rw,[status(thm)],[576,580,theory(equality)])).
% cnf(589,negated_conjecture,(ssList(esk50_0)),inference(rw,[status(thm)],[572,579,theory(equality)])).
% cnf(590,negated_conjecture,(ssList(esk51_0)),inference(rw,[status(thm)],[573,580,theory(equality)])).
% cnf(593,negated_conjecture,(memberP(esk50_0,esk54_0)),inference(rw,[status(thm)],[577,579,theory(equality)])).
% cnf(594,plain,(frontsegP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[388,theory(equality)])).
% cnf(595,plain,(frontsegP(nil,nil)|$false),inference(rw,[status(thm)],[594,135,theory(equality)])).
% cnf(596,plain,(frontsegP(nil,nil)),inference(cn,[status(thm)],[595,theory(equality)])).
% cnf(597,plain,(rearsegP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[393,theory(equality)])).
% cnf(598,plain,(rearsegP(nil,nil)|$false),inference(rw,[status(thm)],[597,135,theory(equality)])).
% cnf(599,plain,(rearsegP(nil,nil)),inference(cn,[status(thm)],[598,theory(equality)])).
% cnf(673,negated_conjecture,(ssList(esk3_2(esk50_0,esk54_0))|~ssList(esk50_0)|~ssItem(esk54_0)),inference(spm,[status(thm)],[116,593,theory(equality)])).
% cnf(674,negated_conjecture,(ssList(esk3_2(esk50_0,esk54_0))|$false|~ssItem(esk54_0)),inference(rw,[status(thm)],[673,589,theory(equality)])).
% cnf(675,negated_conjecture,(ssList(esk3_2(esk50_0,esk54_0))|$false|$false),inference(rw,[status(thm)],[674,578,theory(equality)])).
% cnf(676,negated_conjecture,(ssList(esk3_2(esk50_0,esk54_0))),inference(cn,[status(thm)],[675,theory(equality)])).
% cnf(677,negated_conjecture,(ssList(esk4_2(esk50_0,esk54_0))|~ssList(esk50_0)|~ssItem(esk54_0)),inference(spm,[status(thm)],[115,593,theory(equality)])).
% cnf(678,negated_conjecture,(ssList(esk4_2(esk50_0,esk54_0))|$false|~ssItem(esk54_0)),inference(rw,[status(thm)],[677,589,theory(equality)])).
% cnf(679,negated_conjecture,(ssList(esk4_2(esk50_0,esk54_0))|$false|$false),inference(rw,[status(thm)],[678,578,theory(equality)])).
% cnf(680,negated_conjecture,(ssList(esk4_2(esk50_0,esk54_0))),inference(cn,[status(thm)],[679,theory(equality)])).
% cnf(688,plain,(ssList(esk33_2(X1,X1))|~ssList(X1)),inference(spm,[status(thm)],[363,476,theory(equality)])).
% cnf(727,negated_conjecture,(memberP(app(esk50_0,X1),esk54_0)|~ssList(X1)|~ssList(esk50_0)|~ssItem(esk54_0)),inference(spm,[status(thm)],[184,593,theory(equality)])).
% cnf(728,negated_conjecture,(memberP(app(esk50_0,X1),esk54_0)|~ssList(X1)|$false|~ssItem(esk54_0)),inference(rw,[status(thm)],[727,589,theory(equality)])).
% cnf(729,negated_conjecture,(memberP(app(esk50_0,X1),esk54_0)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[728,578,theory(equality)])).
% cnf(730,negated_conjecture,(memberP(app(esk50_0,X1),esk54_0)|~ssList(X1)),inference(cn,[status(thm)],[729,theory(equality)])).
% cnf(735,plain,(X1=nil|app(X2,X1)!=X2|~ssList(nil)|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[207,225,theory(equality)])).
% cnf(744,plain,(X1=nil|app(X2,X1)!=X2|$false|~ssList(X2)|~ssList(X1)),inference(rw,[status(thm)],[735,135,theory(equality)])).
% cnf(745,plain,(X1=nil|app(X2,X1)!=X2|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[744,theory(equality)])).
% cnf(778,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)|~ssList(app(X1,X2))),inference(er,[status(thm)],[364,theory(equality)])).
% cnf(878,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[446,460,theory(equality)])).
% cnf(880,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|$false|~ssList(X1)),inference(rw,[status(thm)],[878,135,theory(equality)])).
% cnf(881,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[880,theory(equality)])).
% cnf(897,plain,(app(X1,esk33_2(X1,X1))=X1|~ssList(X1)),inference(spm,[status(thm)],[362,476,theory(equality)])).
% cnf(934,plain,(ssList(app(X1,app(X2,X3)))|~ssList(X3)|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[160,215,theory(equality)])).
% cnf(937,plain,(app(app(X1,app(X2,X3)),X4)=app(app(X1,X2),app(X3,X4))|~ssList(X4)|~ssList(X3)|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[215,215,theory(equality)])).
% cnf(945,negated_conjecture,(app(esk52_0,app(esk50_0,esk53_0))=esk51_0|~ssList(esk53_0)|~ssList(esk50_0)|~ssList(esk52_0)),inference(spm,[status(thm)],[584,215,theory(equality)])).
% cnf(947,negated_conjecture,(app(esk51_0,X1)=app(app(esk52_0,esk50_0),app(esk53_0,X1))|~ssList(X1)|~ssList(esk53_0)|~ssList(app(esk52_0,esk50_0))),inference(spm,[status(thm)],[215,584,theory(equality)])).
% cnf(953,negated_conjecture,(app(esk52_0,app(esk50_0,esk53_0))=esk51_0|$false|~ssList(esk50_0)|~ssList(esk52_0)),inference(rw,[status(thm)],[945,585,theory(equality)])).
% cnf(954,negated_conjecture,(app(esk52_0,app(esk50_0,esk53_0))=esk51_0|$false|$false|~ssList(esk52_0)),inference(rw,[status(thm)],[953,589,theory(equality)])).
% cnf(955,negated_conjecture,(app(esk52_0,app(esk50_0,esk53_0))=esk51_0|$false|$false|$false),inference(rw,[status(thm)],[954,582,theory(equality)])).
% cnf(956,negated_conjecture,(app(esk52_0,app(esk50_0,esk53_0))=esk51_0),inference(cn,[status(thm)],[955,theory(equality)])).
% cnf(959,negated_conjecture,(app(esk51_0,X1)=app(app(esk52_0,esk50_0),app(esk53_0,X1))|~ssList(X1)|$false|~ssList(app(esk52_0,esk50_0))),inference(rw,[status(thm)],[947,585,theory(equality)])).
% cnf(960,negated_conjecture,(app(esk51_0,X1)=app(app(esk52_0,esk50_0),app(esk53_0,X1))|~ssList(X1)|~ssList(app(esk52_0,esk50_0))),inference(cn,[status(thm)],[959,theory(equality)])).
% cnf(976,plain,(memberP(app(X1,X2),X3)|memberP(X4,X3)|~memberP(app(X1,app(X2,X4)),X3)|~ssList(X4)|~ssList(app(X1,X2))|~ssItem(X3)|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[185,215,theory(equality)])).
% cnf(1051,negated_conjecture,(app(esk3_2(esk50_0,esk54_0),cons(esk54_0,esk4_2(esk50_0,esk54_0)))=esk50_0|~ssList(esk50_0)|~ssItem(esk54_0)),inference(spm,[status(thm)],[114,593,theory(equality)])).
% cnf(1052,negated_conjecture,(app(esk3_2(esk50_0,esk54_0),cons(esk54_0,esk4_2(esk50_0,esk54_0)))=esk50_0|$false|~ssItem(esk54_0)),inference(rw,[status(thm)],[1051,589,theory(equality)])).
% cnf(1053,negated_conjecture,(app(esk3_2(esk50_0,esk54_0),cons(esk54_0,esk4_2(esk50_0,esk54_0)))=esk50_0|$false|$false),inference(rw,[status(thm)],[1052,578,theory(equality)])).
% cnf(1054,negated_conjecture,(app(esk3_2(esk50_0,esk54_0),cons(esk54_0,esk4_2(esk50_0,esk54_0)))=esk50_0),inference(cn,[status(thm)],[1053,theory(equality)])).
% cnf(1396,negated_conjecture,(app(esk51_0,X1)=app(esk52_0,app(app(esk50_0,esk53_0),X1))|~ssList(X1)|~ssList(app(esk50_0,esk53_0))|~ssList(esk52_0)),inference(spm,[status(thm)],[215,956,theory(equality)])).
% cnf(1397,negated_conjecture,(frontsegP(X1,esk52_0)|esk51_0!=X1|~ssList(app(esk50_0,esk53_0))|~ssList(esk52_0)|~ssList(X1)),inference(spm,[status(thm)],[364,956,theory(equality)])).
% cnf(1400,negated_conjecture,(X1=app(esk50_0,esk53_0)|app(esk52_0,X1)!=esk51_0|~ssList(app(esk50_0,esk53_0))|~ssList(esk52_0)|~ssList(X1)),inference(spm,[status(thm)],[207,956,theory(equality)])).
% cnf(1415,negated_conjecture,(app(esk51_0,X1)=app(esk52_0,app(app(esk50_0,esk53_0),X1))|~ssList(X1)|~ssList(app(esk50_0,esk53_0))|$false),inference(rw,[status(thm)],[1396,582,theory(equality)])).
% cnf(1416,negated_conjecture,(app(esk51_0,X1)=app(esk52_0,app(app(esk50_0,esk53_0),X1))|~ssList(X1)|~ssList(app(esk50_0,esk53_0))),inference(cn,[status(thm)],[1415,theory(equality)])).
% cnf(1417,negated_conjecture,(frontsegP(X1,esk52_0)|esk51_0!=X1|~ssList(app(esk50_0,esk53_0))|$false|~ssList(X1)),inference(rw,[status(thm)],[1397,582,theory(equality)])).
% cnf(1418,negated_conjecture,(frontsegP(X1,esk52_0)|esk51_0!=X1|~ssList(app(esk50_0,esk53_0))|~ssList(X1)),inference(cn,[status(thm)],[1417,theory(equality)])).
% cnf(1423,negated_conjecture,(X1=app(esk50_0,esk53_0)|app(esk52_0,X1)!=esk51_0|~ssList(app(esk50_0,esk53_0))|$false|~ssList(X1)),inference(rw,[status(thm)],[1400,582,theory(equality)])).
% cnf(1424,negated_conjecture,(X1=app(esk50_0,esk53_0)|app(esk52_0,X1)!=esk51_0|~ssList(app(esk50_0,esk53_0))|~ssList(X1)),inference(cn,[status(thm)],[1423,theory(equality)])).
% cnf(1435,plain,(ssList(esk33_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[363,596,theory(equality)])).
% cnf(1436,plain,(app(nil,esk33_2(nil,nil))=nil|~ssList(nil)),inference(spm,[status(thm)],[362,596,theory(equality)])).
% cnf(1439,plain,(ssList(esk33_2(nil,nil))|$false),inference(rw,[status(thm)],[1435,135,theory(equality)])).
% cnf(1440,plain,(ssList(esk33_2(nil,nil))),inference(cn,[status(thm)],[1439,theory(equality)])).
% cnf(1441,plain,(app(nil,esk33_2(nil,nil))=nil|$false),inference(rw,[status(thm)],[1436,135,theory(equality)])).
% cnf(1442,plain,(app(nil,esk33_2(nil,nil))=nil),inference(cn,[status(thm)],[1441,theory(equality)])).
% cnf(1449,plain,(rearsegP(app(X1,nil),nil)|~ssList(X1)|~ssList(nil)),inference(spm,[status(thm)],[450,599,theory(equality)])).
% cnf(1455,plain,(rearsegP(app(X1,nil),nil)|~ssList(X1)|$false),inference(rw,[status(thm)],[1449,135,theory(equality)])).
% cnf(1456,plain,(rearsegP(app(X1,nil),nil)|~ssList(X1)),inference(cn,[status(thm)],[1455,theory(equality)])).
% cnf(1481,plain,(nil=esk33_2(nil,nil)|~ssList(esk33_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[222,1442,theory(equality)])).
% cnf(1508,plain,(nil=esk33_2(nil,nil)|$false|~ssList(nil)),inference(rw,[status(thm)],[1481,1440,theory(equality)])).
% cnf(1509,plain,(nil=esk33_2(nil,nil)|$false|$false),inference(rw,[status(thm)],[1508,135,theory(equality)])).
% cnf(1510,plain,(nil=esk33_2(nil,nil)),inference(cn,[status(thm)],[1509,theory(equality)])).
% cnf(1522,plain,(app(nil,nil)=nil),inference(rw,[status(thm)],[1442,1510,theory(equality)])).
% cnf(1525,plain,(app(nil,X1)=app(nil,app(nil,X1))|~ssList(X1)|~ssList(nil)),inference(spm,[status(thm)],[215,1522,theory(equality)])).
% cnf(1537,plain,(app(nil,X1)=app(nil,app(nil,X1))|~ssList(X1)|$false),inference(rw,[status(thm)],[1525,135,theory(equality)])).
% cnf(1538,plain,(app(nil,X1)=app(nil,app(nil,X1))|~ssList(X1)),inference(cn,[status(thm)],[1537,theory(equality)])).
% cnf(2071,negated_conjecture,(X1=app(esk50_0,esk53_0)|app(esk52_0,X1)!=esk51_0|~ssList(X1)|~ssList(esk53_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[1424,160,theory(equality)])).
% cnf(2072,negated_conjecture,(X1=app(esk50_0,esk53_0)|app(esk52_0,X1)!=esk51_0|~ssList(X1)|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[2071,585,theory(equality)])).
% cnf(2073,negated_conjecture,(X1=app(esk50_0,esk53_0)|app(esk52_0,X1)!=esk51_0|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[2072,589,theory(equality)])).
% cnf(2074,negated_conjecture,(X1=app(esk50_0,esk53_0)|app(esk52_0,X1)!=esk51_0|~ssList(X1)),inference(cn,[status(thm)],[2073,theory(equality)])).
% cnf(2372,negated_conjecture,(app(app(esk52_0,esk50_0),app(esk53_0,X1))=app(esk51_0,X1)|~ssList(X1)|~ssList(esk50_0)|~ssList(esk52_0)),inference(spm,[status(thm)],[960,160,theory(equality)])).
% cnf(2373,negated_conjecture,(app(app(esk52_0,esk50_0),app(esk53_0,X1))=app(esk51_0,X1)|~ssList(X1)|$false|~ssList(esk52_0)),inference(rw,[status(thm)],[2372,589,theory(equality)])).
% cnf(2374,negated_conjecture,(app(app(esk52_0,esk50_0),app(esk53_0,X1))=app(esk51_0,X1)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[2373,582,theory(equality)])).
% cnf(2375,negated_conjecture,(app(app(esk52_0,esk50_0),app(esk53_0,X1))=app(esk51_0,X1)|~ssList(X1)),inference(cn,[status(thm)],[2374,theory(equality)])).
% cnf(2393,negated_conjecture,(app(app(esk52_0,esk50_0),esk53_0)=app(esk51_0,nil)|~ssList(nil)|~ssList(esk53_0)),inference(spm,[status(thm)],[2375,225,theory(equality)])).
% cnf(2400,negated_conjecture,(esk51_0=app(esk51_0,nil)|~ssList(nil)|~ssList(esk53_0)),inference(rw,[status(thm)],[2393,584,theory(equality)])).
% cnf(2401,negated_conjecture,(esk51_0=app(esk51_0,nil)|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[2400,135,theory(equality)])).
% cnf(2402,negated_conjecture,(esk51_0=app(esk51_0,nil)|$false|$false),inference(rw,[status(thm)],[2401,585,theory(equality)])).
% cnf(2403,negated_conjecture,(esk51_0=app(esk51_0,nil)),inference(cn,[status(thm)],[2402,theory(equality)])).
% cnf(2416,negated_conjecture,(rearsegP(esk51_0,nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[1456,2403,theory(equality)])).
% cnf(2455,negated_conjecture,(rearsegP(esk51_0,nil)|$false),inference(rw,[status(thm)],[2416,590,theory(equality)])).
% cnf(2456,negated_conjecture,(rearsegP(esk51_0,nil)),inference(cn,[status(thm)],[2455,theory(equality)])).
% cnf(2462,negated_conjecture,(rearsegP(app(X1,esk51_0),nil)|~ssList(X1)|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[450,2456,theory(equality)])).
% cnf(2473,negated_conjecture,(rearsegP(app(X1,esk51_0),nil)|~ssList(X1)|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[2462,135,theory(equality)])).
% cnf(2474,negated_conjecture,(rearsegP(app(X1,esk51_0),nil)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[2473,590,theory(equality)])).
% cnf(2475,negated_conjecture,(rearsegP(app(X1,esk51_0),nil)|~ssList(X1)),inference(cn,[status(thm)],[2474,theory(equality)])).
% cnf(3158,negated_conjecture,(app(esk52_0,app(app(esk50_0,esk53_0),X1))=app(esk51_0,X1)|~ssList(X1)|~ssList(esk53_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[1416,160,theory(equality)])).
% cnf(3159,negated_conjecture,(app(esk52_0,app(app(esk50_0,esk53_0),X1))=app(esk51_0,X1)|~ssList(X1)|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[3158,585,theory(equality)])).
% cnf(3160,negated_conjecture,(app(esk52_0,app(app(esk50_0,esk53_0),X1))=app(esk51_0,X1)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[3159,589,theory(equality)])).
% cnf(3161,negated_conjecture,(app(esk52_0,app(app(esk50_0,esk53_0),X1))=app(esk51_0,X1)|~ssList(X1)),inference(cn,[status(thm)],[3160,theory(equality)])).
% cnf(4297,negated_conjecture,(frontsegP(X1,esk52_0)|esk51_0!=X1|~ssList(X1)|~ssList(esk53_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[1418,160,theory(equality)])).
% cnf(4298,negated_conjecture,(frontsegP(X1,esk52_0)|esk51_0!=X1|~ssList(X1)|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[4297,585,theory(equality)])).
% cnf(4299,negated_conjecture,(frontsegP(X1,esk52_0)|esk51_0!=X1|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[4298,589,theory(equality)])).
% cnf(4300,negated_conjecture,(frontsegP(X1,esk52_0)|esk51_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[4299,theory(equality)])).
% cnf(4301,negated_conjecture,(frontsegP(esk51_0,esk52_0)|~ssList(esk51_0)),inference(er,[status(thm)],[4300,theory(equality)])).
% cnf(4302,negated_conjecture,(frontsegP(esk51_0,esk52_0)|$false),inference(rw,[status(thm)],[4301,590,theory(equality)])).
% cnf(4303,negated_conjecture,(frontsegP(esk51_0,esk52_0)),inference(cn,[status(thm)],[4302,theory(equality)])).
% cnf(4304,negated_conjecture,(ssList(esk33_2(esk51_0,esk52_0))|~ssList(esk52_0)|~ssList(esk51_0)),inference(spm,[status(thm)],[363,4303,theory(equality)])).
% cnf(4306,negated_conjecture,(app(esk52_0,esk33_2(esk51_0,esk52_0))=esk51_0|~ssList(esk52_0)|~ssList(esk51_0)),inference(spm,[status(thm)],[362,4303,theory(equality)])).
% cnf(4309,negated_conjecture,(ssList(esk33_2(esk51_0,esk52_0))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[4304,582,theory(equality)])).
% cnf(4310,negated_conjecture,(ssList(esk33_2(esk51_0,esk52_0))|$false|$false),inference(rw,[status(thm)],[4309,590,theory(equality)])).
% cnf(4311,negated_conjecture,(ssList(esk33_2(esk51_0,esk52_0))),inference(cn,[status(thm)],[4310,theory(equality)])).
% cnf(4315,negated_conjecture,(app(esk52_0,esk33_2(esk51_0,esk52_0))=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[4306,582,theory(equality)])).
% cnf(4316,negated_conjecture,(app(esk52_0,esk33_2(esk51_0,esk52_0))=esk51_0|$false|$false),inference(rw,[status(thm)],[4315,590,theory(equality)])).
% cnf(4317,negated_conjecture,(app(esk52_0,esk33_2(esk51_0,esk52_0))=esk51_0),inference(cn,[status(thm)],[4316,theory(equality)])).
% cnf(4350,negated_conjecture,(esk33_2(esk51_0,esk52_0)=app(esk50_0,esk53_0)|~ssList(esk33_2(esk51_0,esk52_0))),inference(spm,[status(thm)],[2074,4317,theory(equality)])).
% cnf(4394,negated_conjecture,(esk33_2(esk51_0,esk52_0)=app(esk50_0,esk53_0)|$false),inference(rw,[status(thm)],[4350,4311,theory(equality)])).
% cnf(4395,negated_conjecture,(esk33_2(esk51_0,esk52_0)=app(esk50_0,esk53_0)),inference(cn,[status(thm)],[4394,theory(equality)])).
% cnf(4397,negated_conjecture,(ssList(app(esk50_0,esk53_0))),inference(rw,[status(thm)],[4311,4395,theory(equality)])).
% cnf(6612,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[778,160])).
% cnf(6629,negated_conjecture,(frontsegP(esk50_0,esk3_2(esk50_0,esk54_0))|~ssList(cons(esk54_0,esk4_2(esk50_0,esk54_0)))|~ssList(esk3_2(esk50_0,esk54_0))),inference(spm,[status(thm)],[6612,1054,theory(equality)])).
% cnf(6679,negated_conjecture,(frontsegP(esk50_0,esk3_2(esk50_0,esk54_0))|~ssList(cons(esk54_0,esk4_2(esk50_0,esk54_0)))|$false),inference(rw,[status(thm)],[6629,676,theory(equality)])).
% cnf(6680,negated_conjecture,(frontsegP(esk50_0,esk3_2(esk50_0,esk54_0))|~ssList(cons(esk54_0,esk4_2(esk50_0,esk54_0)))),inference(cn,[status(thm)],[6679,theory(equality)])).
% cnf(6860,negated_conjecture,(frontsegP(esk50_0,esk3_2(esk50_0,esk54_0))|~ssList(esk4_2(esk50_0,esk54_0))|~ssItem(esk54_0)),inference(spm,[status(thm)],[6680,134,theory(equality)])).
% cnf(6861,negated_conjecture,(frontsegP(esk50_0,esk3_2(esk50_0,esk54_0))|$false|~ssItem(esk54_0)),inference(rw,[status(thm)],[6860,680,theory(equality)])).
% cnf(6862,negated_conjecture,(frontsegP(esk50_0,esk3_2(esk50_0,esk54_0))|$false|$false),inference(rw,[status(thm)],[6861,578,theory(equality)])).
% cnf(6863,negated_conjecture,(frontsegP(esk50_0,esk3_2(esk50_0,esk54_0))),inference(cn,[status(thm)],[6862,theory(equality)])).
% cnf(6864,negated_conjecture,(ssList(esk33_2(esk50_0,esk3_2(esk50_0,esk54_0)))|~ssList(esk3_2(esk50_0,esk54_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[363,6863,theory(equality)])).
% cnf(6866,negated_conjecture,(app(esk3_2(esk50_0,esk54_0),esk33_2(esk50_0,esk3_2(esk50_0,esk54_0)))=esk50_0|~ssList(esk3_2(esk50_0,esk54_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[362,6863,theory(equality)])).
% cnf(6870,negated_conjecture,(ssList(esk33_2(esk50_0,esk3_2(esk50_0,esk54_0)))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[6864,676,theory(equality)])).
% cnf(6871,negated_conjecture,(ssList(esk33_2(esk50_0,esk3_2(esk50_0,esk54_0)))|$false|$false),inference(rw,[status(thm)],[6870,589,theory(equality)])).
% cnf(6872,negated_conjecture,(ssList(esk33_2(esk50_0,esk3_2(esk50_0,esk54_0)))),inference(cn,[status(thm)],[6871,theory(equality)])).
% cnf(6876,negated_conjecture,(app(esk3_2(esk50_0,esk54_0),esk33_2(esk50_0,esk3_2(esk50_0,esk54_0)))=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[6866,676,theory(equality)])).
% cnf(6877,negated_conjecture,(app(esk3_2(esk50_0,esk54_0),esk33_2(esk50_0,esk3_2(esk50_0,esk54_0)))=esk50_0|$false|$false),inference(rw,[status(thm)],[6876,589,theory(equality)])).
% cnf(6878,negated_conjecture,(app(esk3_2(esk50_0,esk54_0),esk33_2(esk50_0,esk3_2(esk50_0,esk54_0)))=esk50_0),inference(cn,[status(thm)],[6877,theory(equality)])).
% cnf(10934,negated_conjecture,(frontsegP(esk50_0,nil)|~ssList(esk33_2(esk50_0,esk3_2(esk50_0,esk54_0)))|~ssList(esk3_2(esk50_0,esk54_0))),inference(spm,[status(thm)],[881,6878,theory(equality)])).
% cnf(11001,negated_conjecture,(frontsegP(esk50_0,nil)|$false|~ssList(esk3_2(esk50_0,esk54_0))),inference(rw,[status(thm)],[10934,6872,theory(equality)])).
% cnf(11002,negated_conjecture,(frontsegP(esk50_0,nil)|$false|$false),inference(rw,[status(thm)],[11001,676,theory(equality)])).
% cnf(11003,negated_conjecture,(frontsegP(esk50_0,nil)),inference(cn,[status(thm)],[11002,theory(equality)])).
% cnf(11895,negated_conjecture,(ssList(esk33_2(esk50_0,nil))|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[363,11003,theory(equality)])).
% cnf(11897,negated_conjecture,(app(nil,esk33_2(esk50_0,nil))=esk50_0|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[362,11003,theory(equality)])).
% cnf(11900,negated_conjecture,(ssList(esk33_2(esk50_0,nil))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[11895,135,theory(equality)])).
% cnf(11901,negated_conjecture,(ssList(esk33_2(esk50_0,nil))|$false|$false),inference(rw,[status(thm)],[11900,589,theory(equality)])).
% cnf(11902,negated_conjecture,(ssList(esk33_2(esk50_0,nil))),inference(cn,[status(thm)],[11901,theory(equality)])).
% cnf(11906,negated_conjecture,(app(nil,esk33_2(esk50_0,nil))=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[11897,135,theory(equality)])).
% cnf(11907,negated_conjecture,(app(nil,esk33_2(esk50_0,nil))=esk50_0|$false|$false),inference(rw,[status(thm)],[11906,589,theory(equality)])).
% cnf(11908,negated_conjecture,(app(nil,esk33_2(esk50_0,nil))=esk50_0),inference(cn,[status(thm)],[11907,theory(equality)])).
% cnf(11972,negated_conjecture,(app(nil,esk50_0)=esk50_0|~ssList(esk33_2(esk50_0,nil))),inference(spm,[status(thm)],[1538,11908,theory(equality)])).
% cnf(12066,negated_conjecture,(app(nil,esk50_0)=esk50_0|$false),inference(rw,[status(thm)],[11972,11902,theory(equality)])).
% cnf(12067,negated_conjecture,(app(nil,esk50_0)=esk50_0),inference(cn,[status(thm)],[12066,theory(equality)])).
% cnf(12983,negated_conjecture,(app(esk52_0,app(esk50_0,esk53_0))=app(esk51_0,esk33_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))|~ssList(esk33_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))|~ssList(app(esk50_0,esk53_0))),inference(spm,[status(thm)],[3161,897,theory(equality)])).
% cnf(13372,negated_conjecture,(esk51_0=app(esk51_0,esk33_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))|~ssList(esk33_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))|~ssList(app(esk50_0,esk53_0))),inference(rw,[status(thm)],[12983,956,theory(equality)])).
% cnf(13373,negated_conjecture,(esk51_0=app(esk51_0,esk33_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))|~ssList(esk33_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))|$false),inference(rw,[status(thm)],[13372,4397,theory(equality)])).
% cnf(13374,negated_conjecture,(esk51_0=app(esk51_0,esk33_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))|~ssList(esk33_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))),inference(cn,[status(thm)],[13373,theory(equality)])).
% cnf(15853,negated_conjecture,(app(esk51_0,esk33_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))=esk51_0|~ssList(app(esk50_0,esk53_0))),inference(spm,[status(thm)],[13374,688,theory(equality)])).
% cnf(15854,negated_conjecture,(app(esk51_0,esk33_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))=esk51_0|$false),inference(rw,[status(thm)],[15853,4397,theory(equality)])).
% cnf(15855,negated_conjecture,(app(esk51_0,esk33_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))=esk51_0),inference(cn,[status(thm)],[15854,theory(equality)])).
% cnf(15877,negated_conjecture,(esk33_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0))=nil|~ssList(esk51_0)|~ssList(esk33_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))),inference(spm,[status(thm)],[745,15855,theory(equality)])).
% cnf(15974,negated_conjecture,(esk33_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0))=nil|$false|~ssList(esk33_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))),inference(rw,[status(thm)],[15877,590,theory(equality)])).
% cnf(15975,negated_conjecture,(esk33_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0))=nil|~ssList(esk33_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))),inference(cn,[status(thm)],[15974,theory(equality)])).
% cnf(16018,negated_conjecture,(esk33_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0))=nil|~ssList(app(esk50_0,esk53_0))),inference(spm,[status(thm)],[15975,688,theory(equality)])).
% cnf(16019,negated_conjecture,(esk33_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0))=nil|$false),inference(rw,[status(thm)],[16018,4397,theory(equality)])).
% cnf(16020,negated_conjecture,(esk33_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0))=nil),inference(cn,[status(thm)],[16019,theory(equality)])).
% cnf(16022,negated_conjecture,(app(app(esk50_0,esk53_0),nil)=app(esk50_0,esk53_0)|~ssList(app(esk50_0,esk53_0))),inference(spm,[status(thm)],[897,16020,theory(equality)])).
% cnf(16034,negated_conjecture,(app(app(esk50_0,esk53_0),nil)=app(esk50_0,esk53_0)|$false),inference(rw,[status(thm)],[16022,4397,theory(equality)])).
% cnf(16035,negated_conjecture,(app(app(esk50_0,esk53_0),nil)=app(esk50_0,esk53_0)),inference(cn,[status(thm)],[16034,theory(equality)])).
% cnf(16045,negated_conjecture,(frontsegP(app(esk50_0,esk53_0),nil)|~ssList(nil)|~ssList(app(esk50_0,esk53_0))),inference(spm,[status(thm)],[881,16035,theory(equality)])).
% cnf(16113,negated_conjecture,(frontsegP(app(esk50_0,esk53_0),nil)|$false|~ssList(app(esk50_0,esk53_0))),inference(rw,[status(thm)],[16045,135,theory(equality)])).
% cnf(16114,negated_conjecture,(frontsegP(app(esk50_0,esk53_0),nil)|$false|$false),inference(rw,[status(thm)],[16113,4397,theory(equality)])).
% cnf(16115,negated_conjecture,(frontsegP(app(esk50_0,esk53_0),nil)),inference(cn,[status(thm)],[16114,theory(equality)])).
% cnf(16381,negated_conjecture,(ssList(esk33_2(app(esk50_0,esk53_0),nil))|~ssList(nil)|~ssList(app(esk50_0,esk53_0))),inference(spm,[status(thm)],[363,16115,theory(equality)])).
% cnf(16383,negated_conjecture,(app(nil,esk33_2(app(esk50_0,esk53_0),nil))=app(esk50_0,esk53_0)|~ssList(nil)|~ssList(app(esk50_0,esk53_0))),inference(spm,[status(thm)],[362,16115,theory(equality)])).
% cnf(16386,negated_conjecture,(ssList(esk33_2(app(esk50_0,esk53_0),nil))|$false|~ssList(app(esk50_0,esk53_0))),inference(rw,[status(thm)],[16381,135,theory(equality)])).
% cnf(16387,negated_conjecture,(ssList(esk33_2(app(esk50_0,esk53_0),nil))|$false|$false),inference(rw,[status(thm)],[16386,4397,theory(equality)])).
% cnf(16388,negated_conjecture,(ssList(esk33_2(app(esk50_0,esk53_0),nil))),inference(cn,[status(thm)],[16387,theory(equality)])).
% cnf(16392,negated_conjecture,(app(nil,esk33_2(app(esk50_0,esk53_0),nil))=app(esk50_0,esk53_0)|$false|~ssList(app(esk50_0,esk53_0))),inference(rw,[status(thm)],[16383,135,theory(equality)])).
% cnf(16393,negated_conjecture,(app(nil,esk33_2(app(esk50_0,esk53_0),nil))=app(esk50_0,esk53_0)|$false|$false),inference(rw,[status(thm)],[16392,4397,theory(equality)])).
% cnf(16394,negated_conjecture,(app(nil,esk33_2(app(esk50_0,esk53_0),nil))=app(esk50_0,esk53_0)),inference(cn,[status(thm)],[16393,theory(equality)])).
% cnf(16435,negated_conjecture,(app(nil,app(esk50_0,esk53_0))=app(esk50_0,esk53_0)|~ssList(esk33_2(app(esk50_0,esk53_0),nil))),inference(spm,[status(thm)],[1538,16394,theory(equality)])).
% cnf(16557,negated_conjecture,(app(nil,app(esk50_0,esk53_0))=app(esk50_0,esk53_0)|$false),inference(rw,[status(thm)],[16435,16388,theory(equality)])).
% cnf(16558,negated_conjecture,(app(nil,app(esk50_0,esk53_0))=app(esk50_0,esk53_0)),inference(cn,[status(thm)],[16557,theory(equality)])).
% cnf(18608,plain,(ssList(app(X1,app(X2,X3)))|~ssList(X2)|~ssList(X1)|~ssList(X3)),inference(csr,[status(thm)],[934,160])).
% cnf(18611,negated_conjecture,(ssList(app(X1,esk51_0))|~ssList(app(esk50_0,esk53_0))|~ssList(esk52_0)|~ssList(X1)),inference(spm,[status(thm)],[18608,956,theory(equality)])).
% cnf(18683,negated_conjecture,(ssList(app(X1,esk51_0))|$false|~ssList(esk52_0)|~ssList(X1)),inference(rw,[status(thm)],[18611,4397,theory(equality)])).
% cnf(18684,negated_conjecture,(ssList(app(X1,esk51_0))|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[18683,582,theory(equality)])).
% cnf(18685,negated_conjecture,(ssList(app(X1,esk51_0))|~ssList(X1)),inference(cn,[status(thm)],[18684,theory(equality)])).
% cnf(19419,plain,(app(app(X1,app(X2,X3)),X4)=app(app(X1,X2),app(X3,X4))|~ssList(X2)|~ssList(X1)|~ssList(X4)|~ssList(X3)),inference(csr,[status(thm)],[937,160])).
% cnf(19584,negated_conjecture,(app(app(esk50_0,esk53_0),X1)=app(app(nil,esk50_0),app(esk53_0,X1))|~ssList(X1)|~ssList(esk53_0)|~ssList(esk50_0)|~ssList(nil)),inference(spm,[status(thm)],[19419,16558,theory(equality)])).
% cnf(19790,negated_conjecture,(app(app(esk50_0,esk53_0),X1)=app(esk50_0,app(esk53_0,X1))|~ssList(X1)|~ssList(esk53_0)|~ssList(esk50_0)|~ssList(nil)),inference(rw,[status(thm)],[19584,12067,theory(equality)])).
% cnf(19791,negated_conjecture,(app(app(esk50_0,esk53_0),X1)=app(esk50_0,app(esk53_0,X1))|~ssList(X1)|$false|~ssList(esk50_0)|~ssList(nil)),inference(rw,[status(thm)],[19790,585,theory(equality)])).
% cnf(19792,negated_conjecture,(app(app(esk50_0,esk53_0),X1)=app(esk50_0,app(esk53_0,X1))|~ssList(X1)|$false|$false|~ssList(nil)),inference(rw,[status(thm)],[19791,589,theory(equality)])).
% cnf(19793,negated_conjecture,(app(app(esk50_0,esk53_0),X1)=app(esk50_0,app(esk53_0,X1))|~ssList(X1)|$false|$false|$false),inference(rw,[status(thm)],[19792,135,theory(equality)])).
% cnf(19794,negated_conjecture,(app(app(esk50_0,esk53_0),X1)=app(esk50_0,app(esk53_0,X1))|~ssList(X1)),inference(cn,[status(thm)],[19793,theory(equality)])).
% cnf(23918,plain,(memberP(app(X1,X2),X3)|memberP(X4,X3)|~memberP(app(X1,app(X2,X4)),X3)|~ssList(X2)|~ssList(X1)|~ssList(X4)|~ssItem(X3)),inference(csr,[status(thm)],[976,160])).
% cnf(34617,negated_conjecture,(rearsegP(app(esk50_0,app(esk53_0,esk51_0)),nil)|~ssList(app(esk50_0,esk53_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[2475,19794,theory(equality)])).
% cnf(34630,negated_conjecture,(ssList(app(esk50_0,app(esk53_0,esk51_0)))|~ssList(app(esk50_0,esk53_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[18685,19794,theory(equality)])).
% cnf(34819,negated_conjecture,(rearsegP(app(esk50_0,app(esk53_0,esk51_0)),nil)|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[34617,4397,theory(equality)])).
% cnf(34820,negated_conjecture,(rearsegP(app(esk50_0,app(esk53_0,esk51_0)),nil)|$false|$false),inference(rw,[status(thm)],[34819,590,theory(equality)])).
% cnf(34821,negated_conjecture,(rearsegP(app(esk50_0,app(esk53_0,esk51_0)),nil)),inference(cn,[status(thm)],[34820,theory(equality)])).
% cnf(34859,negated_conjecture,(ssList(app(esk50_0,app(esk53_0,esk51_0)))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[34630,4397,theory(equality)])).
% cnf(34860,negated_conjecture,(ssList(app(esk50_0,app(esk53_0,esk51_0)))|$false|$false),inference(rw,[status(thm)],[34859,590,theory(equality)])).
% cnf(34861,negated_conjecture,(ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(cn,[status(thm)],[34860,theory(equality)])).
% cnf(36349,negated_conjecture,(ssList(esk34_2(app(esk50_0,app(esk53_0,esk51_0)),nil))|~ssList(nil)|~ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(spm,[status(thm)],[371,34821,theory(equality)])).
% cnf(36350,negated_conjecture,(app(esk34_2(app(esk50_0,app(esk53_0,esk51_0)),nil),nil)=app(esk50_0,app(esk53_0,esk51_0))|~ssList(nil)|~ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(spm,[status(thm)],[370,34821,theory(equality)])).
% cnf(36354,negated_conjecture,(ssList(esk34_2(app(esk50_0,app(esk53_0,esk51_0)),nil))|$false|~ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(rw,[status(thm)],[36349,135,theory(equality)])).
% cnf(36355,negated_conjecture,(ssList(esk34_2(app(esk50_0,app(esk53_0,esk51_0)),nil))|$false|$false),inference(rw,[status(thm)],[36354,34861,theory(equality)])).
% cnf(36356,negated_conjecture,(ssList(esk34_2(app(esk50_0,app(esk53_0,esk51_0)),nil))),inference(cn,[status(thm)],[36355,theory(equality)])).
% cnf(36357,negated_conjecture,(app(esk34_2(app(esk50_0,app(esk53_0,esk51_0)),nil),nil)=app(esk50_0,app(esk53_0,esk51_0))|$false|~ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(rw,[status(thm)],[36350,135,theory(equality)])).
% cnf(36358,negated_conjecture,(app(esk34_2(app(esk50_0,app(esk53_0,esk51_0)),nil),nil)=app(esk50_0,app(esk53_0,esk51_0))|$false|$false),inference(rw,[status(thm)],[36357,34861,theory(equality)])).
% cnf(36359,negated_conjecture,(app(esk34_2(app(esk50_0,app(esk53_0,esk51_0)),nil),nil)=app(esk50_0,app(esk53_0,esk51_0))),inference(cn,[status(thm)],[36358,theory(equality)])).
% cnf(36425,negated_conjecture,(app(esk50_0,app(esk53_0,esk51_0))=esk34_2(app(esk50_0,app(esk53_0,esk51_0)),nil)|~ssList(esk34_2(app(esk50_0,app(esk53_0,esk51_0)),nil))),inference(spm,[status(thm)],[225,36359,theory(equality)])).
% cnf(36618,negated_conjecture,(app(esk50_0,app(esk53_0,esk51_0))=esk34_2(app(esk50_0,app(esk53_0,esk51_0)),nil)|$false),inference(rw,[status(thm)],[36425,36356,theory(equality)])).
% cnf(36619,negated_conjecture,(app(esk50_0,app(esk53_0,esk51_0))=esk34_2(app(esk50_0,app(esk53_0,esk51_0)),nil)),inference(cn,[status(thm)],[36618,theory(equality)])).
% cnf(47103,negated_conjecture,(app(app(esk50_0,app(esk53_0,esk51_0)),nil)=app(esk50_0,app(esk53_0,esk51_0))),inference(rw,[status(thm)],[36359,36619,theory(equality)])).
% cnf(47190,negated_conjecture,(app(esk50_0,app(esk53_0,esk51_0))=app(esk50_0,app(app(esk53_0,esk51_0),nil))|~ssList(nil)|~ssList(app(esk53_0,esk51_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[215,47103,theory(equality)])).
% cnf(47417,negated_conjecture,(app(esk50_0,app(esk53_0,esk51_0))=app(esk50_0,app(app(esk53_0,esk51_0),nil))|$false|~ssList(app(esk53_0,esk51_0))|~ssList(esk50_0)),inference(rw,[status(thm)],[47190,135,theory(equality)])).
% cnf(47418,negated_conjecture,(app(esk50_0,app(esk53_0,esk51_0))=app(esk50_0,app(app(esk53_0,esk51_0),nil))|$false|~ssList(app(esk53_0,esk51_0))|$false),inference(rw,[status(thm)],[47417,589,theory(equality)])).
% cnf(47419,negated_conjecture,(app(esk50_0,app(esk53_0,esk51_0))=app(esk50_0,app(app(esk53_0,esk51_0),nil))|~ssList(app(esk53_0,esk51_0))),inference(cn,[status(thm)],[47418,theory(equality)])).
% cnf(48892,negated_conjecture,(app(esk50_0,app(app(esk53_0,esk51_0),nil))=app(esk50_0,app(esk53_0,esk51_0))|~ssList(esk51_0)|~ssList(esk53_0)),inference(spm,[status(thm)],[47419,160,theory(equality)])).
% cnf(48895,negated_conjecture,(app(esk50_0,app(app(esk53_0,esk51_0),nil))=app(esk50_0,app(esk53_0,esk51_0))|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[48892,590,theory(equality)])).
% cnf(48896,negated_conjecture,(app(esk50_0,app(app(esk53_0,esk51_0),nil))=app(esk50_0,app(esk53_0,esk51_0))|$false|$false),inference(rw,[status(thm)],[48895,585,theory(equality)])).
% cnf(48897,negated_conjecture,(app(esk50_0,app(app(esk53_0,esk51_0),nil))=app(esk50_0,app(esk53_0,esk51_0))),inference(cn,[status(thm)],[48896,theory(equality)])).
% cnf(48907,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)|~ssList(app(app(esk53_0,esk51_0),nil))|~ssList(esk50_0)),inference(spm,[status(thm)],[6612,48897,theory(equality)])).
% cnf(49009,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)|~ssList(app(app(esk53_0,esk51_0),nil))|$false),inference(rw,[status(thm)],[48907,589,theory(equality)])).
% cnf(49010,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)|~ssList(app(app(esk53_0,esk51_0),nil))),inference(cn,[status(thm)],[49009,theory(equality)])).
% cnf(54081,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)|~ssList(app(esk53_0,esk51_0))),inference(spm,[status(thm)],[49010,225,theory(equality)])).
% cnf(54094,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)|~ssList(esk51_0)|~ssList(esk53_0)),inference(spm,[status(thm)],[54081,160,theory(equality)])).
% cnf(54097,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[54094,590,theory(equality)])).
% cnf(54098,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)|$false|$false),inference(rw,[status(thm)],[54097,585,theory(equality)])).
% cnf(54099,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)),inference(cn,[status(thm)],[54098,theory(equality)])).
% cnf(54104,negated_conjecture,(ssList(esk33_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))|~ssList(esk50_0)|~ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(spm,[status(thm)],[363,54099,theory(equality)])).
% cnf(54106,negated_conjecture,(app(esk50_0,esk33_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))=app(esk50_0,app(esk53_0,esk51_0))|~ssList(esk50_0)|~ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(spm,[status(thm)],[362,54099,theory(equality)])).
% cnf(54112,negated_conjecture,(ssList(esk33_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))|$false|~ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(rw,[status(thm)],[54104,589,theory(equality)])).
% cnf(54113,negated_conjecture,(ssList(esk33_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))|$false|$false),inference(rw,[status(thm)],[54112,34861,theory(equality)])).
% cnf(54114,negated_conjecture,(ssList(esk33_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))),inference(cn,[status(thm)],[54113,theory(equality)])).
% cnf(54118,negated_conjecture,(app(esk50_0,esk33_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))=app(esk50_0,app(esk53_0,esk51_0))|$false|~ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(rw,[status(thm)],[54106,589,theory(equality)])).
% cnf(54119,negated_conjecture,(app(esk50_0,esk33_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))=app(esk50_0,app(esk53_0,esk51_0))|$false|$false),inference(rw,[status(thm)],[54118,34861,theory(equality)])).
% cnf(54120,negated_conjecture,(app(esk50_0,esk33_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))=app(esk50_0,app(esk53_0,esk51_0))),inference(cn,[status(thm)],[54119,theory(equality)])).
% cnf(54199,negated_conjecture,(memberP(app(esk50_0,app(esk53_0,esk51_0)),esk54_0)|~ssList(esk33_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))),inference(spm,[status(thm)],[730,54120,theory(equality)])).
% cnf(54427,negated_conjecture,(memberP(app(esk50_0,app(esk53_0,esk51_0)),esk54_0)|$false),inference(rw,[status(thm)],[54199,54114,theory(equality)])).
% cnf(54428,negated_conjecture,(memberP(app(esk50_0,app(esk53_0,esk51_0)),esk54_0)),inference(cn,[status(thm)],[54427,theory(equality)])).
% cnf(54470,negated_conjecture,(memberP(app(esk50_0,esk53_0),esk54_0)|memberP(esk51_0,esk54_0)|~ssList(esk51_0)|~ssList(esk53_0)|~ssList(esk50_0)|~ssItem(esk54_0)),inference(spm,[status(thm)],[23918,54428,theory(equality)])).
% cnf(54503,negated_conjecture,(memberP(app(esk50_0,esk53_0),esk54_0)|memberP(esk51_0,esk54_0)|$false|~ssList(esk53_0)|~ssList(esk50_0)|~ssItem(esk54_0)),inference(rw,[status(thm)],[54470,590,theory(equality)])).
% cnf(54504,negated_conjecture,(memberP(app(esk50_0,esk53_0),esk54_0)|memberP(esk51_0,esk54_0)|$false|$false|~ssList(esk50_0)|~ssItem(esk54_0)),inference(rw,[status(thm)],[54503,585,theory(equality)])).
% cnf(54505,negated_conjecture,(memberP(app(esk50_0,esk53_0),esk54_0)|memberP(esk51_0,esk54_0)|$false|$false|$false|~ssItem(esk54_0)),inference(rw,[status(thm)],[54504,589,theory(equality)])).
% cnf(54506,negated_conjecture,(memberP(app(esk50_0,esk53_0),esk54_0)|memberP(esk51_0,esk54_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[54505,578,theory(equality)])).
% cnf(54507,negated_conjecture,(memberP(app(esk50_0,esk53_0),esk54_0)|memberP(esk51_0,esk54_0)),inference(cn,[status(thm)],[54506,theory(equality)])).
% cnf(54508,negated_conjecture,(memberP(app(esk50_0,esk53_0),esk54_0)),inference(sr,[status(thm)],[54507,588,theory(equality)])).
% cnf(54516,negated_conjecture,(memberP(app(X1,app(esk50_0,esk53_0)),esk54_0)|~ssList(app(esk50_0,esk53_0))|~ssList(X1)|~ssItem(esk54_0)),inference(spm,[status(thm)],[183,54508,theory(equality)])).
% cnf(54542,negated_conjecture,(memberP(app(X1,app(esk50_0,esk53_0)),esk54_0)|$false|~ssList(X1)|~ssItem(esk54_0)),inference(rw,[status(thm)],[54516,4397,theory(equality)])).
% cnf(54543,negated_conjecture,(memberP(app(X1,app(esk50_0,esk53_0)),esk54_0)|$false|~ssList(X1)|$false),inference(rw,[status(thm)],[54542,578,theory(equality)])).
% cnf(54544,negated_conjecture,(memberP(app(X1,app(esk50_0,esk53_0)),esk54_0)|~ssList(X1)),inference(cn,[status(thm)],[54543,theory(equality)])).
% cnf(57148,negated_conjecture,(memberP(esk51_0,esk54_0)|~ssList(esk52_0)),inference(spm,[status(thm)],[54544,956,theory(equality)])).
% cnf(57189,negated_conjecture,(memberP(esk51_0,esk54_0)|$false),inference(rw,[status(thm)],[57148,582,theory(equality)])).
% cnf(57190,negated_conjecture,(memberP(esk51_0,esk54_0)),inference(cn,[status(thm)],[57189,theory(equality)])).
% cnf(57191,negated_conjecture,($false),inference(sr,[status(thm)],[57190,588,theory(equality)])).
% cnf(57192,negated_conjecture,($false),57191,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 3783
% # ...of these trivial                : 60
% # ...subsumed                        : 1624
% # ...remaining for further processing: 2099
% # Other redundant clauses eliminated : 424
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 179
% # Backward-rewritten                 : 269
% # Generated clauses                  : 21868
% # ...of the previous two non-trivial : 19659
% # Contextual simplify-reflections    : 1357
% # Paramodulations                    : 21316
% # Factorizations                     : 0
% # Equation resolutions               : 552
% # Current number of processed clauses: 1645
% #    Positive orientable unit clauses: 277
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 3
% #    Non-unit-clauses                : 1365
% # Current number of unprocessed clauses: 14145
% # ...number of literals in the above : 97261
% # Clause-clause subsumption calls (NU) : 176459
% # Rec. Clause-clause subsumption calls : 128254
% # Unit Clause-clause subsumption calls : 5329
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 326
% # Indexed BW rewrite successes       : 80
% # Backwards rewriting index:  1148 leaves,   1.37+/-1.109 terms/leaf
% # Paramod-from index:          515 leaves,   1.20+/-0.798 terms/leaf
% # Paramod-into index:          941 leaves,   1.30+/-0.987 terms/leaf
% # -------------------------------------------------
% # User time              : 1.485 s
% # System time            : 0.054 s
% # Total time             : 1.539 s
% # Maximum resident set size: 0 pages
% PrfWatch: 2.50 CPU 2.63 WC
% FINAL PrfWatch: 2.50 CPU 2.63 WC
% SZS output end Solution for /tmp/SystemOnTPTP31655/SWC402+1.tptp
% 
%------------------------------------------------------------------------------