%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SWC063+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 06:56:29 EST 2010

% Result   : Theorem 25.78s
% Output   : Solution 25.78s
% 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/SystemOnTPTP15958/SWC063+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP15958/SWC063+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP15958/SWC063+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 16054
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.91 CPU 4.01 WC
% PrfWatch: 5.91 CPU 6.02 WC
% PrfWatch: 7.89 CPU 8.02 WC
% PrfWatch: 9.89 CPU 10.03 WC
% PrfWatch: 11.88 CPU 12.03 WC
% PrfWatch: 13.86 CPU 14.04 WC
% PrfWatch: 15.86 CPU 16.04 WC
% # Preprocessing time     : 0.031 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 17.86 CPU 18.05 WC
% PrfWatch: 19.84 CPU 20.05 WC
% PrfWatch: 21.84 CPU 22.06 WC
% PrfWatch: 23.83 CPU 24.06 WC
% # SZS output start CNFRefutation.
% fof(3, 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(4, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(neq(X1,X2)<=>~(X1=X2)))),file('/tmp/SRASS.s.p', ax15)).
% fof(5, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>ssList(cons(X2,X1)))),file('/tmp/SRASS.s.p', ax16)).
% fof(6, axiom,ssList(nil),file('/tmp/SRASS.s.p', ax17)).
% fof(10, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>~(nil=cons(X2,X1)))),file('/tmp/SRASS.s.p', ax21)).
% fof(11, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>ssList(app(X1,X2)))),file('/tmp/SRASS.s.p', ax26)).
% fof(12, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssItem(X3)=>cons(X3,app(X2,X1))=app(cons(X3,X2),X1)))),file('/tmp/SRASS.s.p', ax27)).
% fof(13, axiom,![X1]:(ssList(X1)=>app(nil,X1)=X1),file('/tmp/SRASS.s.p', ax28)).
% fof(16, axiom,![X1]:(ssList(X1)=>segmentP(X1,X1)),file('/tmp/SRASS.s.p', ax55)).
% fof(20, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>(app(X3,X2)=app(X1,X2)=>X3=X1)))),file('/tmp/SRASS.s.p', ax79)).
% fof(21, 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(22, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>cons(X2,X1)=app(cons(X2,nil),X1))),file('/tmp/SRASS.s.p', ax81)).
% fof(23, 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(24, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(nil=app(X1,X2)<=>(nil=X2&nil=X1)))),file('/tmp/SRASS.s.p', ax83)).
% fof(25, axiom,![X1]:(ssList(X1)=>app(X1,nil)=X1),file('/tmp/SRASS.s.p', ax84)).
% fof(31, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(~(nil=X1)=>tl(app(X1,X2))=app(tl(X1),X2)))),file('/tmp/SRASS.s.p', ax86)).
% fof(32, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>hd(cons(X2,X1))=X2)),file('/tmp/SRASS.s.p', ax23)).
% fof(33, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>tl(cons(X2,X1))=X1)),file('/tmp/SRASS.s.p', ax25)).
% fof(35, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>ssItem(hd(X1)))),file('/tmp/SRASS.s.p', ax22)).
% fof(45, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(frontsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X2,X3)=X1)))),file('/tmp/SRASS.s.p', ax5)).
% fof(46, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(rearsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X3,X2)=X1)))),file('/tmp/SRASS.s.p', ax6)).
% fof(48, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>ssList(tl(X1)))),file('/tmp/SRASS.s.p', ax24)).
% fof(49, axiom,![X1]:(ssList(X1)=>(frontsegP(nil,X1)<=>nil=X1)),file('/tmp/SRASS.s.p', ax46)).
% fof(50, axiom,![X1]:(ssList(X1)=>(rearsegP(nil,X1)<=>nil=X1)),file('/tmp/SRASS.s.p', ax52)).
% fof(58, 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(59, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>cons(hd(X1),tl(X1))=X1)),file('/tmp/SRASS.s.p', ax78)).
% fof(96, conjecture,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(((((~(ssList(X4))|~(X2=X4))|~(X1=X3))|(~(nil=X3)&nil=X4))|(![X5]:(ssItem(X5)=>![X6]:((~(ssList(X6))|~(app(cons(X5,nil),X6)=X3))|~(app(X6,cons(X5,nil))=X4)))&neq(X4,nil)))|((~(nil=X2)|nil=X1)&(~(neq(X2,nil))|?[X7]:(((ssList(X7)&neq(X7,nil))&segmentP(X2,X7))&segmentP(X1,X7)))))))),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))|(~(nil=X3)&nil=X4))|(![X5]:(ssItem(X5)=>![X6]:((~(ssList(X6))|~(app(cons(X5,nil),X6)=X3))|~(app(X6,cons(X5,nil))=X4)))&neq(X4,nil)))|((~(nil=X2)|nil=X1)&(~(neq(X2,nil))|?[X7]:(((ssList(X7)&neq(X7,nil))&segmentP(X2,X7))&segmentP(X1,X7))))))))),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))|(~(nil=X3)&nil=X4))|(![X5]:(ssItem(X5)=>![X6]:((~(ssList(X6))|~(app(cons(X5,nil),X6)=X3))|~(app(X6,cons(X5,nil))=X4)))&neq(X4,nil)))|((~(nil=X2)|nil=X1)&(~(neq(X2,nil))|?[X7]:(((ssList(X7)&neq(X7,nil))&segmentP(X2,X7))&segmentP(X1,X7))))))))),inference(fof_simplification,[status(thm)],[97,theory(equality)])).
% fof(115, 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)],[3])).
% fof(116, 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)],[115])).
% fof(117, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|((~(segmentP(X5,X6))|(ssList(esk3_2(X5,X6))&(ssList(esk4_2(X5,X6))&app(app(esk3_2(X5,X6),X6),esk4_2(X5,X6))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(app(X9,X6),X10)=X5)))|segmentP(X5,X6))))),inference(skolemize,[status(esa)],[116])).
% fof(118, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(app(X9,X6),X10)=X5))|~(ssList(X9)))|segmentP(X5,X6))&(~(segmentP(X5,X6))|(ssList(esk3_2(X5,X6))&(ssList(esk4_2(X5,X6))&app(app(esk3_2(X5,X6),X6),esk4_2(X5,X6))=X5))))|~(ssList(X6)))|~(ssList(X5))),inference(shift_quantors,[status(thm)],[117])).
% fof(119, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(app(X9,X6),X10)=X5))|~(ssList(X9)))|segmentP(X5,X6))|~(ssList(X6)))|~(ssList(X5)))&((((ssList(esk3_2(X5,X6))|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))&((((ssList(esk4_2(X5,X6))|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))&(((app(app(esk3_2(X5,X6),X6),esk4_2(X5,X6))=X5|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))))),inference(distribute,[status(thm)],[118])).
% cnf(123,plain,(segmentP(X1,X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|app(app(X3,X2),X4)!=X1|~ssList(X4)),inference(split_conjunct,[status(thm)],[119])).
% fof(124, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(neq(X1,X2))|~(X1=X2))&(X1=X2|neq(X1,X2))))),inference(fof_nnf,[status(thm)],[4])).
% fof(125, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))),inference(variable_rename,[status(thm)],[124])).
% fof(126, plain,![X3]:![X4]:((~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[125])).
% fof(127, 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)],[126])).
% cnf(128,plain,(neq(X1,X2)|X1=X2|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[127])).
% cnf(129,plain,(~ssList(X1)|~ssList(X2)|X1!=X2|~neq(X1,X2)),inference(split_conjunct,[status(thm)],[127])).
% fof(130, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|ssList(cons(X2,X1)))),inference(fof_nnf,[status(thm)],[5])).
% fof(131, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|ssList(cons(X4,X3)))),inference(variable_rename,[status(thm)],[130])).
% fof(132, plain,![X3]:![X4]:((~(ssItem(X4))|ssList(cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[131])).
% cnf(133,plain,(ssList(cons(X2,X1))|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[132])).
% cnf(134,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[6])).
% fof(152, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|~(nil=cons(X2,X1)))),inference(fof_nnf,[status(thm)],[10])).
% fof(153, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|~(nil=cons(X4,X3)))),inference(variable_rename,[status(thm)],[152])).
% fof(154, plain,![X3]:![X4]:((~(ssItem(X4))|~(nil=cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[153])).
% cnf(155,plain,(~ssList(X1)|nil!=cons(X2,X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[154])).
% fof(156, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|ssList(app(X1,X2)))),inference(fof_nnf,[status(thm)],[11])).
% fof(157, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|ssList(app(X3,X4)))),inference(variable_rename,[status(thm)],[156])).
% fof(158, plain,![X3]:![X4]:((~(ssList(X4))|ssList(app(X3,X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[157])).
% cnf(159,plain,(ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[158])).
% fof(160, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssItem(X3))|cons(X3,app(X2,X1))=app(cons(X3,X2),X1)))),inference(fof_nnf,[status(thm)],[12])).
% fof(161, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssItem(X6))|cons(X6,app(X5,X4))=app(cons(X6,X5),X4)))),inference(variable_rename,[status(thm)],[160])).
% fof(162, plain,![X4]:![X5]:![X6]:(((~(ssItem(X6))|cons(X6,app(X5,X4))=app(cons(X6,X5),X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[161])).
% cnf(163,plain,(cons(X3,app(X2,X1))=app(cons(X3,X2),X1)|~ssList(X1)|~ssList(X2)|~ssItem(X3)),inference(split_conjunct,[status(thm)],[162])).
% fof(164, plain,![X1]:(~(ssList(X1))|app(nil,X1)=X1),inference(fof_nnf,[status(thm)],[13])).
% fof(165, plain,![X2]:(~(ssList(X2))|app(nil,X2)=X2),inference(variable_rename,[status(thm)],[164])).
% cnf(166,plain,(app(nil,X1)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[165])).
% fof(175, plain,![X1]:(~(ssList(X1))|segmentP(X1,X1)),inference(fof_nnf,[status(thm)],[16])).
% fof(176, plain,![X2]:(~(ssList(X2))|segmentP(X2,X2)),inference(variable_rename,[status(thm)],[175])).
% cnf(177,plain,(segmentP(X1,X1)|~ssList(X1)),inference(split_conjunct,[status(thm)],[176])).
% fof(190, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X3,X2)=app(X1,X2))|X3=X1)))),inference(fof_nnf,[status(thm)],[20])).
% fof(191, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X6,X5)=app(X4,X5))|X6=X4)))),inference(variable_rename,[status(thm)],[190])).
% fof(192, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X6,X5)=app(X4,X5))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[191])).
% cnf(193,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X3,X2)!=app(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[192])).
% fof(194, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X2,X3)=app(X2,X1))|X3=X1)))),inference(fof_nnf,[status(thm)],[21])).
% fof(195, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4)))),inference(variable_rename,[status(thm)],[194])).
% fof(196, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[195])).
% cnf(197,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X2,X3)!=app(X2,X1)|~ssList(X3)),inference(split_conjunct,[status(thm)],[196])).
% fof(198, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|cons(X2,X1)=app(cons(X2,nil),X1))),inference(fof_nnf,[status(thm)],[22])).
% fof(199, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))),inference(variable_rename,[status(thm)],[198])).
% fof(200, plain,![X3]:![X4]:((~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[199])).
% cnf(201,plain,(cons(X2,X1)=app(cons(X2,nil),X1)|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[200])).
% fof(202, 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)],[23])).
% fof(203, 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)],[202])).
% fof(204, 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)],[203])).
% cnf(205,plain,(app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X1)|~ssList(X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[204])).
% fof(206, 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)],[24])).
% fof(207, 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)],[206])).
% fof(208, 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)],[207])).
% fof(209, 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)],[208])).
% cnf(212,plain,(nil=X2|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[209])).
% fof(213, plain,![X1]:(~(ssList(X1))|app(X1,nil)=X1),inference(fof_nnf,[status(thm)],[25])).
% fof(214, plain,![X2]:(~(ssList(X2))|app(X2,nil)=X2),inference(variable_rename,[status(thm)],[213])).
% cnf(215,plain,(app(X1,nil)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[214])).
% fof(262, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|(nil=X1|tl(app(X1,X2))=app(tl(X1),X2)))),inference(fof_nnf,[status(thm)],[31])).
% fof(263, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|(nil=X3|tl(app(X3,X4))=app(tl(X3),X4)))),inference(variable_rename,[status(thm)],[262])).
% fof(264, plain,![X3]:![X4]:((~(ssList(X4))|(nil=X3|tl(app(X3,X4))=app(tl(X3),X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[263])).
% cnf(265,plain,(tl(app(X1,X2))=app(tl(X1),X2)|nil=X1|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[264])).
% fof(266, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|hd(cons(X2,X1))=X2)),inference(fof_nnf,[status(thm)],[32])).
% fof(267, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|hd(cons(X4,X3))=X4)),inference(variable_rename,[status(thm)],[266])).
% fof(268, plain,![X3]:![X4]:((~(ssItem(X4))|hd(cons(X4,X3))=X4)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[267])).
% cnf(269,plain,(hd(cons(X2,X1))=X2|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[268])).
% fof(270, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|tl(cons(X2,X1))=X1)),inference(fof_nnf,[status(thm)],[33])).
% fof(271, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|tl(cons(X4,X3))=X3)),inference(variable_rename,[status(thm)],[270])).
% fof(272, plain,![X3]:![X4]:((~(ssItem(X4))|tl(cons(X4,X3))=X3)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[271])).
% cnf(273,plain,(tl(cons(X2,X1))=X1|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[272])).
% fof(281, plain,![X1]:(~(ssList(X1))|(nil=X1|ssItem(hd(X1)))),inference(fof_nnf,[status(thm)],[35])).
% fof(282, plain,![X2]:(~(ssList(X2))|(nil=X2|ssItem(hd(X2)))),inference(variable_rename,[status(thm)],[281])).
% cnf(283,plain,(ssItem(hd(X1))|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[282])).
% fof(318, 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)],[45])).
% fof(319, 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)],[318])).
% fof(320, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(frontsegP(X4,X5))|(ssList(esk20_2(X4,X5))&app(X5,esk20_2(X4,X5))=X4))&(![X7]:(~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))))),inference(skolemize,[status(esa)],[319])).
% fof(321, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))&(~(frontsegP(X4,X5))|(ssList(esk20_2(X4,X5))&app(X5,esk20_2(X4,X5))=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[320])).
% fof(322, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk20_2(X4,X5))|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(X5,esk20_2(X4,X5))=X4|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[321])).
% cnf(323,plain,(app(X2,esk20_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[322])).
% cnf(324,plain,(ssList(esk20_2(X1,X2))|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[322])).
% cnf(325,plain,(frontsegP(X1,X2)|~ssList(X1)|~ssList(X2)|app(X2,X3)!=X1|~ssList(X3)),inference(split_conjunct,[status(thm)],[322])).
% fof(326, 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)],[46])).
% fof(327, 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)],[326])).
% fof(328, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(rearsegP(X4,X5))|(ssList(esk21_2(X4,X5))&app(esk21_2(X4,X5),X5)=X4))&(![X7]:(~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))))),inference(skolemize,[status(esa)],[327])).
% fof(329, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))&(~(rearsegP(X4,X5))|(ssList(esk21_2(X4,X5))&app(esk21_2(X4,X5),X5)=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[328])).
% fof(330, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk21_2(X4,X5))|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(esk21_2(X4,X5),X5)=X4|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[329])).
% cnf(331,plain,(app(esk21_2(X1,X2),X2)=X1|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[330])).
% cnf(332,plain,(ssList(esk21_2(X1,X2))|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[330])).
% fof(341, plain,![X1]:(~(ssList(X1))|(nil=X1|ssList(tl(X1)))),inference(fof_nnf,[status(thm)],[48])).
% fof(342, plain,![X2]:(~(ssList(X2))|(nil=X2|ssList(tl(X2)))),inference(variable_rename,[status(thm)],[341])).
% cnf(343,plain,(ssList(tl(X1))|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[342])).
% fof(344, plain,![X1]:(~(ssList(X1))|((~(frontsegP(nil,X1))|nil=X1)&(~(nil=X1)|frontsegP(nil,X1)))),inference(fof_nnf,[status(thm)],[49])).
% fof(345, plain,![X2]:(~(ssList(X2))|((~(frontsegP(nil,X2))|nil=X2)&(~(nil=X2)|frontsegP(nil,X2)))),inference(variable_rename,[status(thm)],[344])).
% fof(346, plain,![X2]:(((~(frontsegP(nil,X2))|nil=X2)|~(ssList(X2)))&((~(nil=X2)|frontsegP(nil,X2))|~(ssList(X2)))),inference(distribute,[status(thm)],[345])).
% cnf(347,plain,(frontsegP(nil,X1)|~ssList(X1)|nil!=X1),inference(split_conjunct,[status(thm)],[346])).
% fof(349, plain,![X1]:(~(ssList(X1))|((~(rearsegP(nil,X1))|nil=X1)&(~(nil=X1)|rearsegP(nil,X1)))),inference(fof_nnf,[status(thm)],[50])).
% fof(350, plain,![X2]:(~(ssList(X2))|((~(rearsegP(nil,X2))|nil=X2)&(~(nil=X2)|rearsegP(nil,X2)))),inference(variable_rename,[status(thm)],[349])).
% fof(351, plain,![X2]:(((~(rearsegP(nil,X2))|nil=X2)|~(ssList(X2)))&((~(nil=X2)|rearsegP(nil,X2))|~(ssList(X2)))),inference(distribute,[status(thm)],[350])).
% cnf(352,plain,(rearsegP(nil,X1)|~ssList(X1)|nil!=X1),inference(split_conjunct,[status(thm)],[351])).
% fof(432, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(rearsegP(X1,X2))|rearsegP(app(X3,X1),X2))))),inference(fof_nnf,[status(thm)],[58])).
% fof(433, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5))))),inference(variable_rename,[status(thm)],[432])).
% fof(434, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[433])).
% cnf(435,plain,(rearsegP(app(X3,X1),X2)|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[434])).
% fof(436, plain,![X1]:(~(ssList(X1))|(nil=X1|cons(hd(X1),tl(X1))=X1)),inference(fof_nnf,[status(thm)],[59])).
% fof(437, plain,![X2]:(~(ssList(X2))|(nil=X2|cons(hd(X2),tl(X2))=X2)),inference(variable_rename,[status(thm)],[436])).
% cnf(438,plain,(cons(hd(X1),tl(X1))=X1|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[437])).
% fof(568, negated_conjecture,?[X1]:(ssList(X1)&?[X2]:(ssList(X2)&?[X3]:(ssList(X3)&?[X4]:(((((ssList(X4)&X2=X4)&X1=X3)&(nil=X3|~(nil=X4)))&(?[X5]:(ssItem(X5)&?[X6]:((ssList(X6)&app(cons(X5,nil),X6)=X3)&app(X6,cons(X5,nil))=X4))|~(neq(X4,nil))))&((nil=X2&~(nil=X1))|(neq(X2,nil)&![X7]:(((~(ssList(X7))|~(neq(X7,nil)))|~(segmentP(X2,X7)))|~(segmentP(X1,X7))))))))),inference(fof_nnf,[status(thm)],[103])).
% fof(569, negated_conjecture,?[X8]:(ssList(X8)&?[X9]:(ssList(X9)&?[X10]:(ssList(X10)&?[X11]:(((((ssList(X11)&X9=X11)&X8=X10)&(nil=X10|~(nil=X11)))&(?[X12]:(ssItem(X12)&?[X13]:((ssList(X13)&app(cons(X12,nil),X13)=X10)&app(X13,cons(X12,nil))=X11))|~(neq(X11,nil))))&((nil=X9&~(nil=X8))|(neq(X9,nil)&![X14]:(((~(ssList(X14))|~(neq(X14,nil)))|~(segmentP(X9,X14)))|~(segmentP(X8,X14))))))))),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)&(nil=esk50_0|~(nil=esk51_0)))&((ssItem(esk52_0)&((ssList(esk53_0)&app(cons(esk52_0,nil),esk53_0)=esk50_0)&app(esk53_0,cons(esk52_0,nil))=esk51_0))|~(neq(esk51_0,nil))))&((nil=esk49_0&~(nil=esk48_0))|(neq(esk49_0,nil)&![X14]:(((~(ssList(X14))|~(neq(X14,nil)))|~(segmentP(esk49_0,X14)))|~(segmentP(esk48_0,X14))))))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,![X14]:(((((((((~(ssList(X14))|~(neq(X14,nil)))|~(segmentP(esk49_0,X14)))|~(segmentP(esk48_0,X14)))&neq(esk49_0,nil))|(nil=esk49_0&~(nil=esk48_0)))&((((ssList(esk51_0)&esk49_0=esk51_0)&esk48_0=esk50_0)&(nil=esk50_0|~(nil=esk51_0)))&((ssItem(esk52_0)&((ssList(esk53_0)&app(cons(esk52_0,nil),esk53_0)=esk50_0)&app(esk53_0,cons(esk52_0,nil))=esk51_0))|~(neq(esk51_0,nil)))))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(shift_quantors,[status(thm)],[570])).
% fof(572, negated_conjecture,![X14]:(((((((nil=esk49_0|(((~(ssList(X14))|~(neq(X14,nil)))|~(segmentP(esk49_0,X14)))|~(segmentP(esk48_0,X14))))&(~(nil=esk48_0)|(((~(ssList(X14))|~(neq(X14,nil)))|~(segmentP(esk49_0,X14)))|~(segmentP(esk48_0,X14)))))&((nil=esk49_0|neq(esk49_0,nil))&(~(nil=esk48_0)|neq(esk49_0,nil))))&((((ssList(esk51_0)&esk49_0=esk51_0)&esk48_0=esk50_0)&(nil=esk50_0|~(nil=esk51_0)))&((ssItem(esk52_0)|~(neq(esk51_0,nil)))&(((ssList(esk53_0)|~(neq(esk51_0,nil)))&(app(cons(esk52_0,nil),esk53_0)=esk50_0|~(neq(esk51_0,nil))))&(app(esk53_0,cons(esk52_0,nil))=esk51_0|~(neq(esk51_0,nil)))))))&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(576,negated_conjecture,(app(esk53_0,cons(esk52_0,nil))=esk51_0|~neq(esk51_0,nil)),inference(split_conjunct,[status(thm)],[572])).
% cnf(577,negated_conjecture,(app(cons(esk52_0,nil),esk53_0)=esk50_0|~neq(esk51_0,nil)),inference(split_conjunct,[status(thm)],[572])).
% cnf(578,negated_conjecture,(ssList(esk53_0)|~neq(esk51_0,nil)),inference(split_conjunct,[status(thm)],[572])).
% cnf(579,negated_conjecture,(ssItem(esk52_0)|~neq(esk51_0,nil)),inference(split_conjunct,[status(thm)],[572])).
% cnf(580,negated_conjecture,(nil=esk50_0|nil!=esk51_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(581,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(582,negated_conjecture,(esk49_0=esk51_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(584,negated_conjecture,(neq(esk49_0,nil)|nil!=esk48_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(585,negated_conjecture,(neq(esk49_0,nil)|nil=esk49_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(587,negated_conjecture,(nil=esk49_0|~segmentP(esk48_0,X1)|~segmentP(esk49_0,X1)|~neq(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[572])).
% cnf(588,negated_conjecture,(ssList(esk51_0)),inference(rw,[status(thm)],[574,582,theory(equality)])).
% cnf(591,negated_conjecture,(esk48_0=nil|esk51_0!=nil),inference(rw,[status(thm)],[580,581,theory(equality)])).
% cnf(592,negated_conjecture,(neq(esk51_0,nil)|esk48_0!=nil),inference(rw,[status(thm)],[584,582,theory(equality)])).
% cnf(593,negated_conjecture,(esk51_0=nil|neq(esk49_0,nil)),inference(rw,[status(thm)],[585,582,theory(equality)])).
% cnf(594,negated_conjecture,(esk51_0=nil|neq(esk51_0,nil)),inference(rw,[status(thm)],[593,582,theory(equality)])).
% cnf(595,negated_conjecture,(ssItem(esk52_0)|esk51_0=nil),inference(spm,[status(thm)],[579,594,theory(equality)])).
% cnf(596,negated_conjecture,(ssList(esk53_0)|esk51_0=nil),inference(spm,[status(thm)],[578,594,theory(equality)])).
% cnf(597,negated_conjecture,(app(esk53_0,cons(esk52_0,nil))=esk51_0|esk51_0=nil),inference(spm,[status(thm)],[576,594,theory(equality)])).
% cnf(598,negated_conjecture,(app(cons(esk52_0,nil),esk53_0)=esk48_0|~neq(esk51_0,nil)),inference(rw,[status(thm)],[577,581,theory(equality)])).
% cnf(599,negated_conjecture,(app(cons(esk52_0,nil),esk53_0)=esk48_0|esk51_0=nil),inference(spm,[status(thm)],[598,594,theory(equality)])).
% cnf(604,negated_conjecture,(esk51_0=nil|~ssList(X1)|~neq(X1,nil)|~segmentP(esk48_0,X1)|~segmentP(esk49_0,X1)),inference(rw,[status(thm)],[587,582,theory(equality)])).
% cnf(605,negated_conjecture,(esk51_0=nil|~ssList(X1)|~neq(X1,nil)|~segmentP(esk48_0,X1)|~segmentP(esk51_0,X1)),inference(rw,[status(thm)],[604,582,theory(equality)])).
% cnf(607,negated_conjecture,(esk51_0=nil|~segmentP(esk51_0,esk48_0)|~ssList(esk48_0)|~neq(esk48_0,nil)),inference(spm,[status(thm)],[605,177,theory(equality)])).
% cnf(611,negated_conjecture,(esk51_0=nil|~segmentP(esk51_0,esk48_0)|$false|~neq(esk48_0,nil)),inference(rw,[status(thm)],[607,573,theory(equality)])).
% cnf(612,negated_conjecture,(esk51_0=nil|~segmentP(esk51_0,esk48_0)|~neq(esk48_0,nil)),inference(cn,[status(thm)],[611,theory(equality)])).
% cnf(613,plain,(frontsegP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[347,theory(equality)])).
% cnf(614,plain,(frontsegP(nil,nil)|$false),inference(rw,[status(thm)],[613,134,theory(equality)])).
% cnf(615,plain,(frontsegP(nil,nil)),inference(cn,[status(thm)],[614,theory(equality)])).
% cnf(616,plain,(rearsegP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[352,theory(equality)])).
% cnf(617,plain,(rearsegP(nil,nil)|$false),inference(rw,[status(thm)],[616,134,theory(equality)])).
% cnf(618,plain,(rearsegP(nil,nil)),inference(cn,[status(thm)],[617,theory(equality)])).
% cnf(634,plain,(~ssList(X1)|~neq(X1,X1)),inference(er,[status(thm)],[129,theory(equality)])).
% cnf(709,plain,(cons(X1,tl(cons(X1,X2)))=cons(X1,X2)|nil=cons(X1,X2)|~ssList(cons(X1,X2))|~ssList(X2)|~ssItem(X1)),inference(spm,[status(thm)],[438,269,theory(equality)])).
% cnf(748,plain,(X1=nil|app(X1,X2)!=X2|~ssList(nil)|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[193,166,theory(equality)])).
% cnf(754,plain,(X1=nil|app(X1,X2)!=X2|$false|~ssList(X2)|~ssList(X1)),inference(rw,[status(thm)],[748,134,theory(equality)])).
% cnf(755,plain,(X1=nil|app(X1,X2)!=X2|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[754,theory(equality)])).
% cnf(767,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)|~ssList(app(X1,X2))),inference(er,[status(thm)],[325,theory(equality)])).
% cnf(828,plain,(segmentP(X1,X2)|app(X2,X3)!=X1|~ssList(X3)|~ssList(nil)|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[123,166,theory(equality)])).
% cnf(829,plain,(segmentP(X1,X2)|app(cons(X3,X2),X4)!=X1|~ssList(X4)|~ssList(cons(X3,nil))|~ssList(X2)|~ssList(X1)|~ssItem(X3)),inference(spm,[status(thm)],[123,201,theory(equality)])).
% cnf(831,plain,(segmentP(X1,X2)|app(X3,X2)!=X1|~ssList(nil)|~ssList(X3)|~ssList(X2)|~ssList(X1)|~ssList(app(X3,X2))),inference(spm,[status(thm)],[123,215,theory(equality)])).
% cnf(832,plain,(segmentP(X1,X2)|app(X2,X3)!=X1|~ssList(X3)|$false|~ssList(X2)|~ssList(X1)),inference(rw,[status(thm)],[828,134,theory(equality)])).
% cnf(833,plain,(segmentP(X1,X2)|app(X2,X3)!=X1|~ssList(X3)|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[832,theory(equality)])).
% cnf(836,plain,(segmentP(X1,X2)|app(X3,X2)!=X1|$false|~ssList(X3)|~ssList(X2)|~ssList(X1)|~ssList(app(X3,X2))),inference(rw,[status(thm)],[831,134,theory(equality)])).
% cnf(837,plain,(segmentP(X1,X2)|app(X3,X2)!=X1|~ssList(X3)|~ssList(X2)|~ssList(X1)|~ssList(app(X3,X2))),inference(cn,[status(thm)],[836,theory(equality)])).
% cnf(866,plain,(app(X1,app(X2,nil))=app(X1,X2)|~ssList(app(X1,X2))|~ssList(nil)|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[215,205,theory(equality)])).
% cnf(868,plain,(ssList(app(X1,app(X2,X3)))|~ssList(X3)|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[159,205,theory(equality)])).
% cnf(880,plain,(app(X1,X2)=app(nil,app(X1,X2))|~ssList(X2)|~ssList(X1)|~ssList(nil)),inference(spm,[status(thm)],[205,166,theory(equality)])).
% cnf(883,plain,(app(X1,app(X2,nil))=app(X1,X2)|~ssList(app(X1,X2))|$false|~ssList(X2)|~ssList(X1)),inference(rw,[status(thm)],[866,134,theory(equality)])).
% cnf(884,plain,(app(X1,app(X2,nil))=app(X1,X2)|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[883,theory(equality)])).
% cnf(885,plain,(app(X1,X2)=app(nil,app(X1,X2))|~ssList(X2)|~ssList(X1)|$false),inference(rw,[status(thm)],[880,134,theory(equality)])).
% cnf(886,plain,(app(X1,X2)=app(nil,app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[885,theory(equality)])).
% cnf(891,plain,(ssList(cons(X1,app(X2,X3)))|~ssList(X3)|~ssList(cons(X1,X2))|~ssList(X2)|~ssItem(X1)),inference(spm,[status(thm)],[159,163,theory(equality)])).
% cnf(1356,negated_conjecture,(app(esk51_0,X1)=app(esk53_0,app(cons(esk52_0,nil),X1))|esk51_0=nil|~ssList(X1)|~ssList(cons(esk52_0,nil))|~ssList(esk53_0)),inference(spm,[status(thm)],[205,597,theory(equality)])).
% cnf(1360,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(esk53_0,X1)!=esk51_0|~ssList(cons(esk52_0,nil))|~ssList(esk53_0)|~ssList(X1)),inference(spm,[status(thm)],[197,597,theory(equality)])).
% cnf(1389,negated_conjecture,(app(esk48_0,X1)=app(cons(esk52_0,nil),app(esk53_0,X1))|esk51_0=nil|~ssList(X1)|~ssList(esk53_0)|~ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[205,599,theory(equality)])).
% cnf(1391,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(X1,esk53_0)!=esk48_0|~ssList(cons(esk52_0,nil))|~ssList(esk53_0)|~ssList(X1)),inference(spm,[status(thm)],[193,599,theory(equality)])).
% cnf(1393,negated_conjecture,(X1=esk53_0|esk51_0=nil|app(cons(esk52_0,nil),X1)!=esk48_0|~ssList(esk53_0)|~ssList(cons(esk52_0,nil))|~ssList(X1)),inference(spm,[status(thm)],[197,599,theory(equality)])).
% cnf(1399,negated_conjecture,(esk48_0=cons(esk52_0,app(nil,esk53_0))|esk51_0=nil|~ssList(nil)|~ssList(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[163,599,theory(equality)])).
% cnf(1400,negated_conjecture,(esk48_0=cons(esk52_0,esk53_0)|esk51_0=nil|~ssList(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[201,599,theory(equality)])).
% cnf(1402,negated_conjecture,(esk48_0=cons(esk52_0,app(nil,esk53_0))|esk51_0=nil|$false|~ssList(esk53_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[1399,134,theory(equality)])).
% cnf(1403,negated_conjecture,(esk48_0=cons(esk52_0,app(nil,esk53_0))|esk51_0=nil|~ssList(esk53_0)|~ssItem(esk52_0)),inference(cn,[status(thm)],[1402,theory(equality)])).
% cnf(1411,negated_conjecture,(cons(esk52_0,esk53_0)=esk48_0|esk51_0=nil|~ssList(esk53_0)),inference(csr,[status(thm)],[1400,595])).
% cnf(1412,negated_conjecture,(cons(esk52_0,esk53_0)=esk48_0|esk51_0=nil),inference(csr,[status(thm)],[1411,596])).
% cnf(1417,negated_conjecture,(esk51_0=nil|esk48_0!=nil|~ssList(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[155,1412,theory(equality)])).
% cnf(1420,negated_conjecture,(hd(esk48_0)=esk52_0|esk51_0=nil|~ssList(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[269,1412,theory(equality)])).
% cnf(1421,negated_conjecture,(tl(esk48_0)=esk53_0|esk51_0=nil|~ssList(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[273,1412,theory(equality)])).
% cnf(1422,negated_conjecture,(app(esk48_0,X1)=cons(esk52_0,app(esk53_0,X1))|esk51_0=nil|~ssList(esk53_0)|~ssList(X1)|~ssItem(esk52_0)),inference(spm,[status(thm)],[163,1412,theory(equality)])).
% cnf(1445,negated_conjecture,(esk51_0=nil|esk48_0!=nil|~ssList(esk53_0)),inference(csr,[status(thm)],[1417,595])).
% cnf(1446,negated_conjecture,(esk51_0=nil|esk48_0!=nil),inference(csr,[status(thm)],[1445,596])).
% cnf(1447,plain,(ssList(esk20_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[324,615,theory(equality)])).
% cnf(1448,plain,(app(nil,esk20_2(nil,nil))=nil|~ssList(nil)),inference(spm,[status(thm)],[323,615,theory(equality)])).
% cnf(1451,plain,(ssList(esk20_2(nil,nil))|$false),inference(rw,[status(thm)],[1447,134,theory(equality)])).
% cnf(1452,plain,(ssList(esk20_2(nil,nil))),inference(cn,[status(thm)],[1451,theory(equality)])).
% cnf(1453,plain,(app(nil,esk20_2(nil,nil))=nil|$false),inference(rw,[status(thm)],[1448,134,theory(equality)])).
% cnf(1454,plain,(app(nil,esk20_2(nil,nil))=nil),inference(cn,[status(thm)],[1453,theory(equality)])).
% cnf(1466,plain,(rearsegP(app(X1,nil),nil)|~ssList(X1)|~ssList(nil)),inference(spm,[status(thm)],[435,618,theory(equality)])).
% cnf(1472,plain,(rearsegP(app(X1,nil),nil)|~ssList(X1)|$false),inference(rw,[status(thm)],[1466,134,theory(equality)])).
% cnf(1473,plain,(rearsegP(app(X1,nil),nil)|~ssList(X1)),inference(cn,[status(thm)],[1472,theory(equality)])).
% cnf(1483,negated_conjecture,(cons(esk52_0,app(nil,esk53_0))=esk48_0|esk51_0=nil|~ssList(esk53_0)),inference(csr,[status(thm)],[1403,595])).
% cnf(1484,negated_conjecture,(cons(esk52_0,app(nil,esk53_0))=esk48_0|esk51_0=nil),inference(csr,[status(thm)],[1483,596])).
% cnf(1493,negated_conjecture,(tl(esk48_0)=app(nil,esk53_0)|esk51_0=nil|~ssList(app(nil,esk53_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[273,1484,theory(equality)])).
% cnf(1531,plain,(nil=esk20_2(nil,nil)|~ssList(esk20_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[212,1454,theory(equality)])).
% cnf(1558,plain,(nil=esk20_2(nil,nil)|$false|~ssList(nil)),inference(rw,[status(thm)],[1531,1452,theory(equality)])).
% cnf(1559,plain,(nil=esk20_2(nil,nil)|$false|$false),inference(rw,[status(thm)],[1558,134,theory(equality)])).
% cnf(1560,plain,(nil=esk20_2(nil,nil)),inference(cn,[status(thm)],[1559,theory(equality)])).
% cnf(1572,plain,(app(nil,nil)=nil),inference(rw,[status(thm)],[1454,1560,theory(equality)])).
% cnf(1663,negated_conjecture,(hd(esk48_0)=esk52_0|esk51_0=nil|~ssList(esk53_0)),inference(csr,[status(thm)],[1420,595])).
% cnf(1664,negated_conjecture,(hd(esk48_0)=esk52_0|esk51_0=nil),inference(csr,[status(thm)],[1663,596])).
% cnf(1665,negated_conjecture,(nil=esk48_0|ssItem(esk52_0)|esk51_0=nil|~ssList(esk48_0)),inference(spm,[status(thm)],[283,1664,theory(equality)])).
% cnf(1666,negated_conjecture,(cons(esk52_0,tl(esk48_0))=esk48_0|nil=esk48_0|esk51_0=nil|~ssList(esk48_0)),inference(spm,[status(thm)],[438,1664,theory(equality)])).
% cnf(1671,negated_conjecture,(nil=esk48_0|ssItem(esk52_0)|esk51_0=nil|$false),inference(rw,[status(thm)],[1665,573,theory(equality)])).
% cnf(1672,negated_conjecture,(nil=esk48_0|ssItem(esk52_0)|esk51_0=nil),inference(cn,[status(thm)],[1671,theory(equality)])).
% cnf(1673,negated_conjecture,(cons(esk52_0,tl(esk48_0))=esk48_0|nil=esk48_0|esk51_0=nil|$false),inference(rw,[status(thm)],[1666,573,theory(equality)])).
% cnf(1674,negated_conjecture,(cons(esk52_0,tl(esk48_0))=esk48_0|nil=esk48_0|esk51_0=nil),inference(cn,[status(thm)],[1673,theory(equality)])).
% cnf(1683,negated_conjecture,(esk48_0=nil|ssItem(esk52_0)),inference(csr,[status(thm)],[1672,591])).
% cnf(1684,negated_conjecture,(tl(esk48_0)=esk53_0|esk51_0=nil|~ssList(esk53_0)),inference(csr,[status(thm)],[1421,595])).
% cnf(1685,negated_conjecture,(tl(esk48_0)=esk53_0|esk51_0=nil),inference(csr,[status(thm)],[1684,596])).
% cnf(1686,negated_conjecture,(nil=esk48_0|ssList(esk53_0)|esk51_0=nil|~ssList(esk48_0)),inference(spm,[status(thm)],[343,1685,theory(equality)])).
% cnf(1688,negated_conjecture,(nil=esk48_0|ssList(esk53_0)|esk51_0=nil|$false),inference(rw,[status(thm)],[1686,573,theory(equality)])).
% cnf(1689,negated_conjecture,(nil=esk48_0|ssList(esk53_0)|esk51_0=nil),inference(cn,[status(thm)],[1688,theory(equality)])).
% cnf(1692,negated_conjecture,(esk48_0=nil|ssList(esk53_0)),inference(csr,[status(thm)],[1689,591])).
% cnf(1693,negated_conjecture,(cons(esk52_0,tl(esk48_0))=esk48_0|esk48_0=nil),inference(csr,[status(thm)],[1674,591])).
% cnf(1724,negated_conjecture,(cons(esk52_0,esk53_0)=esk48_0|esk48_0=nil|esk51_0=nil),inference(spm,[status(thm)],[1693,1685,theory(equality)])).
% cnf(1726,negated_conjecture,(cons(esk52_0,esk53_0)=esk48_0|esk48_0=nil),inference(csr,[status(thm)],[1724,591])).
% cnf(1735,negated_conjecture,(tl(esk48_0)=esk53_0|esk48_0=nil|~ssList(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[273,1726,theory(equality)])).
% cnf(1781,negated_conjecture,(tl(esk48_0)=esk53_0|esk48_0=nil|~ssList(esk53_0)),inference(csr,[status(thm)],[1735,1683])).
% cnf(1782,negated_conjecture,(tl(esk48_0)=esk53_0|esk48_0=nil),inference(csr,[status(thm)],[1781,1692])).
% cnf(1835,negated_conjecture,(tl(esk48_0)=app(nil,esk53_0)|esk51_0=nil|~ssList(app(nil,esk53_0))),inference(csr,[status(thm)],[1493,595])).
% cnf(1837,negated_conjecture,(tl(esk48_0)=app(nil,esk53_0)|esk51_0=nil|~ssList(esk53_0)|~ssList(nil)),inference(spm,[status(thm)],[1835,159,theory(equality)])).
% cnf(1838,negated_conjecture,(tl(esk48_0)=app(nil,esk53_0)|esk51_0=nil|~ssList(esk53_0)|$false),inference(rw,[status(thm)],[1837,134,theory(equality)])).
% cnf(1839,negated_conjecture,(tl(esk48_0)=app(nil,esk53_0)|esk51_0=nil|~ssList(esk53_0)),inference(cn,[status(thm)],[1838,theory(equality)])).
% cnf(1841,negated_conjecture,(tl(esk48_0)=app(nil,esk53_0)|esk51_0=nil),inference(csr,[status(thm)],[1839,596])).
% cnf(1844,negated_conjecture,(app(nil,esk53_0)=esk53_0|esk51_0=nil),inference(spm,[status(thm)],[1685,1841,theory(equality)])).
% cnf(1847,negated_conjecture,(app(nil,esk53_0)=esk53_0|esk48_0=nil|esk51_0=nil),inference(spm,[status(thm)],[1782,1841,theory(equality)])).
% cnf(1853,negated_conjecture,(app(esk53_0,X1)=app(nil,app(esk53_0,X1))|esk51_0=nil|~ssList(X1)|~ssList(esk53_0)|~ssList(nil)),inference(spm,[status(thm)],[205,1844,theory(equality)])).
% cnf(1867,negated_conjecture,(app(esk53_0,X1)=app(nil,app(esk53_0,X1))|esk51_0=nil|~ssList(X1)|~ssList(esk53_0)|$false),inference(rw,[status(thm)],[1853,134,theory(equality)])).
% cnf(1868,negated_conjecture,(app(esk53_0,X1)=app(nil,app(esk53_0,X1))|esk51_0=nil|~ssList(X1)|~ssList(esk53_0)),inference(cn,[status(thm)],[1867,theory(equality)])).
% cnf(1888,negated_conjecture,(app(nil,esk53_0)=esk53_0|esk48_0=nil),inference(csr,[status(thm)],[1847,591])).
% cnf(1890,negated_conjecture,(app(esk53_0,X1)=app(nil,app(esk53_0,X1))|esk48_0=nil|~ssList(X1)|~ssList(esk53_0)|~ssList(nil)),inference(spm,[status(thm)],[205,1888,theory(equality)])).
% cnf(1904,negated_conjecture,(app(esk53_0,X1)=app(nil,app(esk53_0,X1))|esk48_0=nil|~ssList(X1)|~ssList(esk53_0)|$false),inference(rw,[status(thm)],[1890,134,theory(equality)])).
% cnf(1905,negated_conjecture,(app(esk53_0,X1)=app(nil,app(esk53_0,X1))|esk48_0=nil|~ssList(X1)|~ssList(esk53_0)),inference(cn,[status(thm)],[1904,theory(equality)])).
% cnf(2324,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(esk53_0,X1)!=esk51_0|~ssList(cons(esk52_0,nil))|~ssList(X1)),inference(csr,[status(thm)],[1360,596])).
% cnf(2325,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(esk53_0,X1)!=esk51_0|~ssList(X1)|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[2324,133,theory(equality)])).
% cnf(2326,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(esk53_0,X1)!=esk51_0|~ssList(X1)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2325,134,theory(equality)])).
% cnf(2327,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(esk53_0,X1)!=esk51_0|~ssList(X1)|~ssItem(esk52_0)),inference(cn,[status(thm)],[2326,theory(equality)])).
% cnf(2329,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(esk53_0,X1)!=esk51_0|~ssList(X1)),inference(csr,[status(thm)],[2327,595])).
% cnf(2338,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(X1,esk53_0)!=esk48_0|~ssList(cons(esk52_0,nil))|~ssList(X1)),inference(csr,[status(thm)],[1391,596])).
% cnf(2339,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(X1,esk53_0)!=esk48_0|~ssList(X1)|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[2338,133,theory(equality)])).
% cnf(2340,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(X1,esk53_0)!=esk48_0|~ssList(X1)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2339,134,theory(equality)])).
% cnf(2341,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(X1,esk53_0)!=esk48_0|~ssList(X1)|~ssItem(esk52_0)),inference(cn,[status(thm)],[2340,theory(equality)])).
% cnf(2342,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(X1,esk53_0)!=esk48_0|~ssList(X1)),inference(csr,[status(thm)],[2341,595])).
% cnf(2348,negated_conjecture,(app(X1,X2)=cons(esk52_0,nil)|esk51_0=nil|app(X1,app(X2,esk53_0))!=esk48_0|~ssList(app(X1,X2))|~ssList(esk53_0)|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[2342,205,theory(equality)])).
% cnf(2360,negated_conjecture,(esk51_0=nil|X1=esk53_0|app(cons(esk52_0,nil),X1)!=esk48_0|~ssList(cons(esk52_0,nil))|~ssList(X1)),inference(csr,[status(thm)],[1393,596])).
% cnf(2361,negated_conjecture,(esk51_0=nil|X1=esk53_0|app(cons(esk52_0,nil),X1)!=esk48_0|~ssList(X1)|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[2360,133,theory(equality)])).
% cnf(2362,negated_conjecture,(esk51_0=nil|X1=esk53_0|app(cons(esk52_0,nil),X1)!=esk48_0|~ssList(X1)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2361,134,theory(equality)])).
% cnf(2363,negated_conjecture,(esk51_0=nil|X1=esk53_0|app(cons(esk52_0,nil),X1)!=esk48_0|~ssList(X1)|~ssItem(esk52_0)),inference(cn,[status(thm)],[2362,theory(equality)])).
% cnf(2365,negated_conjecture,(esk51_0=nil|X1=esk53_0|app(cons(esk52_0,nil),X1)!=esk48_0|~ssList(X1)),inference(csr,[status(thm)],[2363,595])).
% cnf(2368,negated_conjecture,(esk51_0=nil|X1=esk53_0|cons(esk52_0,X1)!=esk48_0|~ssList(X1)|~ssItem(esk52_0)),inference(spm,[status(thm)],[2365,201,theory(equality)])).
% cnf(2373,negated_conjecture,(esk51_0=nil|X1=esk53_0|cons(esk52_0,X1)!=esk48_0|~ssList(X1)),inference(csr,[status(thm)],[2368,595])).
% cnf(3393,plain,(cons(X1,tl(cons(X1,X2)))=cons(X1,X2)|cons(X1,X2)=nil|~ssList(X2)|~ssItem(X1)),inference(csr,[status(thm)],[709,133])).
% cnf(3394,plain,(cons(X1,tl(cons(X1,X2)))=cons(X1,X2)|~ssList(X2)|~ssItem(X1)),inference(csr,[status(thm)],[3393,155])).
% cnf(3903,negated_conjecture,(app(nil,app(esk53_0,X1))=app(esk53_0,X1)|esk51_0=nil|~ssList(X1)),inference(csr,[status(thm)],[1868,596])).
% cnf(3922,negated_conjecture,(app(nil,esk51_0)=esk51_0|esk51_0=nil|~ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[3903,597,theory(equality)])).
% cnf(3948,negated_conjecture,(app(nil,esk51_0)=esk51_0|esk51_0=nil|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[3922,133,theory(equality)])).
% cnf(3951,negated_conjecture,(app(nil,esk51_0)=esk51_0|esk51_0=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3948,134,theory(equality)])).
% cnf(3952,negated_conjecture,(app(nil,esk51_0)=esk51_0|esk51_0=nil|~ssItem(esk52_0)),inference(cn,[status(thm)],[3951,theory(equality)])).
% cnf(3953,negated_conjecture,(app(nil,esk51_0)=esk51_0|esk51_0=nil),inference(csr,[status(thm)],[3952,595])).
% cnf(3955,negated_conjecture,(app(esk51_0,X1)=app(nil,app(esk51_0,X1))|esk51_0=nil|~ssList(X1)|~ssList(esk51_0)|~ssList(nil)),inference(spm,[status(thm)],[205,3953,theory(equality)])).
% cnf(3959,negated_conjecture,(X1=esk51_0|esk51_0=nil|app(nil,X1)!=esk51_0|~ssList(esk51_0)|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[197,3953,theory(equality)])).
% cnf(3975,negated_conjecture,(app(esk51_0,X1)=app(nil,app(esk51_0,X1))|esk51_0=nil|~ssList(X1)|$false|~ssList(nil)),inference(rw,[status(thm)],[3955,588,theory(equality)])).
% cnf(3976,negated_conjecture,(app(esk51_0,X1)=app(nil,app(esk51_0,X1))|esk51_0=nil|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[3975,134,theory(equality)])).
% cnf(3977,negated_conjecture,(app(esk51_0,X1)=app(nil,app(esk51_0,X1))|esk51_0=nil|~ssList(X1)),inference(cn,[status(thm)],[3976,theory(equality)])).
% cnf(3987,negated_conjecture,(X1=esk51_0|esk51_0=nil|app(nil,X1)!=esk51_0|$false|~ssList(nil)|~ssList(X1)),inference(rw,[status(thm)],[3959,588,theory(equality)])).
% cnf(3988,negated_conjecture,(X1=esk51_0|esk51_0=nil|app(nil,X1)!=esk51_0|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[3987,134,theory(equality)])).
% cnf(3989,negated_conjecture,(X1=esk51_0|esk51_0=nil|app(nil,X1)!=esk51_0|~ssList(X1)),inference(cn,[status(thm)],[3988,theory(equality)])).
% cnf(4204,negated_conjecture,(app(nil,app(esk53_0,X1))=app(esk53_0,X1)|esk48_0=nil|~ssList(X1)),inference(csr,[status(thm)],[1905,1692])).
% cnf(4225,negated_conjecture,(app(nil,esk51_0)=esk51_0|esk48_0=nil|esk51_0=nil|~ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[4204,597,theory(equality)])).
% cnf(4251,negated_conjecture,(app(nil,esk51_0)=esk51_0|esk48_0=nil|esk51_0=nil),inference(csr,[status(thm)],[4225,3953])).
% cnf(4252,negated_conjecture,(app(nil,esk51_0)=esk51_0|esk48_0=nil),inference(csr,[status(thm)],[4251,591])).
% cnf(4254,negated_conjecture,(app(esk51_0,X1)=app(nil,app(esk51_0,X1))|esk48_0=nil|~ssList(X1)|~ssList(esk51_0)|~ssList(nil)),inference(spm,[status(thm)],[205,4252,theory(equality)])).
% cnf(4258,negated_conjecture,(X1=esk51_0|esk48_0=nil|app(nil,X1)!=esk51_0|~ssList(esk51_0)|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[197,4252,theory(equality)])).
% cnf(4275,negated_conjecture,(app(esk51_0,X1)=app(nil,app(esk51_0,X1))|esk48_0=nil|~ssList(X1)|$false|~ssList(nil)),inference(rw,[status(thm)],[4254,588,theory(equality)])).
% cnf(4276,negated_conjecture,(app(esk51_0,X1)=app(nil,app(esk51_0,X1))|esk48_0=nil|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[4275,134,theory(equality)])).
% cnf(4277,negated_conjecture,(app(esk51_0,X1)=app(nil,app(esk51_0,X1))|esk48_0=nil|~ssList(X1)),inference(cn,[status(thm)],[4276,theory(equality)])).
% cnf(4287,negated_conjecture,(X1=esk51_0|esk48_0=nil|app(nil,X1)!=esk51_0|$false|~ssList(nil)|~ssList(X1)),inference(rw,[status(thm)],[4258,588,theory(equality)])).
% cnf(4288,negated_conjecture,(X1=esk51_0|esk48_0=nil|app(nil,X1)!=esk51_0|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[4287,134,theory(equality)])).
% cnf(4289,negated_conjecture,(X1=esk51_0|esk48_0=nil|app(nil,X1)!=esk51_0|~ssList(X1)),inference(cn,[status(thm)],[4288,theory(equality)])).
% cnf(4829,negated_conjecture,(cons(esk52_0,app(esk53_0,X1))=app(esk48_0,X1)|esk51_0=nil|~ssList(esk53_0)|~ssList(X1)),inference(csr,[status(thm)],[1422,595])).
% cnf(4830,negated_conjecture,(cons(esk52_0,app(esk53_0,X1))=app(esk48_0,X1)|esk51_0=nil|~ssList(X1)),inference(csr,[status(thm)],[4829,596])).
% cnf(4840,negated_conjecture,(app(app(esk48_0,X1),X2)=cons(esk52_0,app(app(esk53_0,X1),X2))|esk51_0=nil|~ssList(app(esk53_0,X1))|~ssList(X2)|~ssItem(esk52_0)|~ssList(X1)),inference(spm,[status(thm)],[163,4830,theory(equality)])).
% cnf(4866,negated_conjecture,(cons(esk52_0,esk53_0)=app(esk48_0,nil)|esk51_0=nil|~ssList(nil)|~ssList(esk53_0)),inference(spm,[status(thm)],[4830,215,theory(equality)])).
% cnf(4868,negated_conjecture,(cons(esk52_0,esk53_0)=app(esk48_0,nil)|esk51_0=nil|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[4866,134,theory(equality)])).
% cnf(4869,negated_conjecture,(cons(esk52_0,esk53_0)=app(esk48_0,nil)|esk51_0=nil|~ssList(esk53_0)),inference(cn,[status(thm)],[4868,theory(equality)])).
% cnf(4870,negated_conjecture,(app(esk48_0,nil)=cons(esk52_0,esk53_0)|esk51_0=nil),inference(csr,[status(thm)],[4869,596])).
% cnf(4872,negated_conjecture,(ssList(cons(esk52_0,esk53_0))|esk51_0=nil|~ssList(nil)|~ssList(esk48_0)),inference(spm,[status(thm)],[159,4870,theory(equality)])).
% cnf(4875,negated_conjecture,(app(cons(esk52_0,esk53_0),X1)=app(esk48_0,app(nil,X1))|esk51_0=nil|~ssList(X1)|~ssList(nil)|~ssList(esk48_0)),inference(spm,[status(thm)],[205,4870,theory(equality)])).
% cnf(4878,negated_conjecture,(X1=esk48_0|esk51_0=nil|app(X1,nil)!=cons(esk52_0,esk53_0)|~ssList(esk48_0)|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[193,4870,theory(equality)])).
% cnf(4889,negated_conjecture,(rearsegP(cons(esk52_0,esk53_0),nil)|esk51_0=nil|~ssList(esk48_0)),inference(spm,[status(thm)],[1473,4870,theory(equality)])).
% cnf(4893,negated_conjecture,(ssList(cons(esk52_0,esk53_0))|esk51_0=nil|$false|~ssList(esk48_0)),inference(rw,[status(thm)],[4872,134,theory(equality)])).
% cnf(4894,negated_conjecture,(ssList(cons(esk52_0,esk53_0))|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[4893,573,theory(equality)])).
% cnf(4895,negated_conjecture,(ssList(cons(esk52_0,esk53_0))|esk51_0=nil),inference(cn,[status(thm)],[4894,theory(equality)])).
% cnf(4902,negated_conjecture,(app(cons(esk52_0,esk53_0),X1)=app(esk48_0,app(nil,X1))|esk51_0=nil|~ssList(X1)|$false|~ssList(esk48_0)),inference(rw,[status(thm)],[4875,134,theory(equality)])).
% cnf(4903,negated_conjecture,(app(cons(esk52_0,esk53_0),X1)=app(esk48_0,app(nil,X1))|esk51_0=nil|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[4902,573,theory(equality)])).
% cnf(4904,negated_conjecture,(app(cons(esk52_0,esk53_0),X1)=app(esk48_0,app(nil,X1))|esk51_0=nil|~ssList(X1)),inference(cn,[status(thm)],[4903,theory(equality)])).
% cnf(4911,negated_conjecture,(X1=esk48_0|esk51_0=nil|app(X1,nil)!=cons(esk52_0,esk53_0)|$false|~ssList(nil)|~ssList(X1)),inference(rw,[status(thm)],[4878,573,theory(equality)])).
% cnf(4912,negated_conjecture,(X1=esk48_0|esk51_0=nil|app(X1,nil)!=cons(esk52_0,esk53_0)|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[4911,134,theory(equality)])).
% cnf(4913,negated_conjecture,(X1=esk48_0|esk51_0=nil|app(X1,nil)!=cons(esk52_0,esk53_0)|~ssList(X1)),inference(cn,[status(thm)],[4912,theory(equality)])).
% cnf(4941,negated_conjecture,(rearsegP(cons(esk52_0,esk53_0),nil)|esk51_0=nil|$false),inference(rw,[status(thm)],[4889,573,theory(equality)])).
% cnf(4942,negated_conjecture,(rearsegP(cons(esk52_0,esk53_0),nil)|esk51_0=nil),inference(cn,[status(thm)],[4941,theory(equality)])).
% cnf(5128,negated_conjecture,(ssList(esk21_2(cons(esk52_0,esk53_0),nil))|esk51_0=nil|~ssList(nil)|~ssList(cons(esk52_0,esk53_0))),inference(spm,[status(thm)],[332,4942,theory(equality)])).
% cnf(5129,negated_conjecture,(app(esk21_2(cons(esk52_0,esk53_0),nil),nil)=cons(esk52_0,esk53_0)|esk51_0=nil|~ssList(nil)|~ssList(cons(esk52_0,esk53_0))),inference(spm,[status(thm)],[331,4942,theory(equality)])).
% cnf(5133,negated_conjecture,(esk51_0=nil|rearsegP(esk48_0,nil)),inference(spm,[status(thm)],[4942,1412,theory(equality)])).
% cnf(5135,negated_conjecture,(ssList(esk21_2(cons(esk52_0,esk53_0),nil))|esk51_0=nil|$false|~ssList(cons(esk52_0,esk53_0))),inference(rw,[status(thm)],[5128,134,theory(equality)])).
% cnf(5136,negated_conjecture,(ssList(esk21_2(cons(esk52_0,esk53_0),nil))|esk51_0=nil|~ssList(cons(esk52_0,esk53_0))),inference(cn,[status(thm)],[5135,theory(equality)])).
% cnf(5137,negated_conjecture,(app(esk21_2(cons(esk52_0,esk53_0),nil),nil)=cons(esk52_0,esk53_0)|esk51_0=nil|$false|~ssList(cons(esk52_0,esk53_0))),inference(rw,[status(thm)],[5129,134,theory(equality)])).
% cnf(5138,negated_conjecture,(app(esk21_2(cons(esk52_0,esk53_0),nil),nil)=cons(esk52_0,esk53_0)|esk51_0=nil|~ssList(cons(esk52_0,esk53_0))),inference(cn,[status(thm)],[5137,theory(equality)])).
% cnf(5145,negated_conjecture,(ssList(esk21_2(esk48_0,nil))|esk51_0=nil|~ssList(nil)|~ssList(esk48_0)),inference(spm,[status(thm)],[332,5133,theory(equality)])).
% cnf(5146,negated_conjecture,(app(esk21_2(esk48_0,nil),nil)=esk48_0|esk51_0=nil|~ssList(nil)|~ssList(esk48_0)),inference(spm,[status(thm)],[331,5133,theory(equality)])).
% cnf(5150,negated_conjecture,(ssList(esk21_2(esk48_0,nil))|esk51_0=nil|$false|~ssList(esk48_0)),inference(rw,[status(thm)],[5145,134,theory(equality)])).
% cnf(5151,negated_conjecture,(ssList(esk21_2(esk48_0,nil))|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[5150,573,theory(equality)])).
% cnf(5152,negated_conjecture,(ssList(esk21_2(esk48_0,nil))|esk51_0=nil),inference(cn,[status(thm)],[5151,theory(equality)])).
% cnf(5153,negated_conjecture,(app(esk21_2(esk48_0,nil),nil)=esk48_0|esk51_0=nil|$false|~ssList(esk48_0)),inference(rw,[status(thm)],[5146,134,theory(equality)])).
% cnf(5154,negated_conjecture,(app(esk21_2(esk48_0,nil),nil)=esk48_0|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[5153,573,theory(equality)])).
% cnf(5155,negated_conjecture,(app(esk21_2(esk48_0,nil),nil)=esk48_0|esk51_0=nil),inference(cn,[status(thm)],[5154,theory(equality)])).
% cnf(5181,negated_conjecture,(esk48_0=esk21_2(esk48_0,nil)|esk51_0=nil|~ssList(esk21_2(esk48_0,nil))),inference(spm,[status(thm)],[215,5155,theory(equality)])).
% cnf(5222,negated_conjecture,(esk21_2(esk48_0,nil)=esk48_0|esk51_0=nil),inference(csr,[status(thm)],[5181,5152])).
% cnf(5225,negated_conjecture,(app(esk48_0,nil)=esk48_0|esk51_0=nil),inference(spm,[status(thm)],[5155,5222,theory(equality)])).
% cnf(5298,negated_conjecture,(esk51_0=nil|ssList(esk21_2(cons(esk52_0,esk53_0),nil))),inference(csr,[status(thm)],[5136,4895])).
% cnf(5313,negated_conjecture,(app(esk21_2(cons(esk52_0,esk53_0),nil),nil)=cons(esk52_0,esk53_0)|esk51_0=nil),inference(csr,[status(thm)],[5138,4895])).
% cnf(5329,negated_conjecture,(cons(esk52_0,esk53_0)=esk21_2(cons(esk52_0,esk53_0),nil)|esk51_0=nil|~ssList(esk21_2(cons(esk52_0,esk53_0),nil))),inference(spm,[status(thm)],[215,5313,theory(equality)])).
% cnf(5408,negated_conjecture,(esk21_2(cons(esk52_0,esk53_0),nil)=cons(esk52_0,esk53_0)|esk51_0=nil),inference(csr,[status(thm)],[5329,5298])).
% cnf(5410,negated_conjecture,(app(cons(esk52_0,esk53_0),nil)=cons(esk52_0,esk53_0)|esk51_0=nil),inference(spm,[status(thm)],[5313,5408,theory(equality)])).
% cnf(5414,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[767,159])).
% cnf(5420,negated_conjecture,(frontsegP(esk51_0,esk53_0)|esk51_0=nil|~ssList(cons(esk52_0,nil))|~ssList(esk53_0)),inference(spm,[status(thm)],[5414,597,theory(equality)])).
% cnf(5505,negated_conjecture,(app(cons(esk52_0,esk53_0),X1)=app(cons(esk52_0,esk53_0),app(nil,X1))|esk51_0=nil|~ssList(X1)|~ssList(nil)|~ssList(cons(esk52_0,esk53_0))),inference(spm,[status(thm)],[205,5410,theory(equality)])).
% cnf(5521,negated_conjecture,(cons(esk52_0,esk53_0)=cons(esk52_0,app(esk53_0,nil))|esk51_0=nil|~ssList(esk53_0)|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[163,5410,theory(equality)])).
% cnf(5530,negated_conjecture,(app(cons(esk52_0,esk53_0),X1)=app(cons(esk52_0,esk53_0),app(nil,X1))|esk51_0=nil|~ssList(X1)|$false|~ssList(cons(esk52_0,esk53_0))),inference(rw,[status(thm)],[5505,134,theory(equality)])).
% cnf(5531,negated_conjecture,(app(cons(esk52_0,esk53_0),X1)=app(cons(esk52_0,esk53_0),app(nil,X1))|esk51_0=nil|~ssList(X1)|~ssList(cons(esk52_0,esk53_0))),inference(cn,[status(thm)],[5530,theory(equality)])).
% cnf(5554,negated_conjecture,(cons(esk52_0,esk53_0)=cons(esk52_0,app(esk53_0,nil))|esk51_0=nil|~ssList(esk53_0)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[5521,134,theory(equality)])).
% cnf(5555,negated_conjecture,(cons(esk52_0,esk53_0)=cons(esk52_0,app(esk53_0,nil))|esk51_0=nil|~ssList(esk53_0)|~ssItem(esk52_0)),inference(cn,[status(thm)],[5554,theory(equality)])).
% cnf(5557,negated_conjecture,(cons(esk52_0,app(esk53_0,nil))=cons(esk52_0,esk53_0)|esk51_0=nil|~ssList(esk53_0)),inference(csr,[status(thm)],[5555,595])).
% cnf(5558,negated_conjecture,(cons(esk52_0,app(esk53_0,nil))=cons(esk52_0,esk53_0)|esk51_0=nil),inference(csr,[status(thm)],[5557,596])).
% cnf(5567,negated_conjecture,(tl(cons(esk52_0,esk53_0))=app(esk53_0,nil)|esk51_0=nil|~ssList(app(esk53_0,nil))|~ssItem(esk52_0)),inference(spm,[status(thm)],[273,5558,theory(equality)])).
% cnf(5592,negated_conjecture,(esk51_0=nil|app(esk53_0,nil)=esk53_0|cons(esk52_0,esk53_0)!=esk48_0|~ssList(app(esk53_0,nil))),inference(spm,[status(thm)],[2373,5558,theory(equality)])).
% cnf(5640,negated_conjecture,(app(esk53_0,nil)=esk53_0|esk51_0=nil|~ssList(app(esk53_0,nil))),inference(csr,[status(thm)],[5592,1412])).
% cnf(5641,negated_conjecture,(app(esk53_0,nil)=esk53_0|esk51_0=nil|~ssList(nil)|~ssList(esk53_0)),inference(spm,[status(thm)],[5640,159,theory(equality)])).
% cnf(5642,negated_conjecture,(app(esk53_0,nil)=esk53_0|esk51_0=nil|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[5641,134,theory(equality)])).
% cnf(5643,negated_conjecture,(app(esk53_0,nil)=esk53_0|esk51_0=nil|~ssList(esk53_0)),inference(cn,[status(thm)],[5642,theory(equality)])).
% cnf(5644,negated_conjecture,(app(esk53_0,nil)=esk53_0|esk51_0=nil),inference(csr,[status(thm)],[5643,596])).
% cnf(6258,negated_conjecture,(esk51_0=nil|frontsegP(esk51_0,esk53_0)|~ssList(cons(esk52_0,nil))),inference(csr,[status(thm)],[5420,596])).
% cnf(6259,negated_conjecture,(esk51_0=nil|frontsegP(esk51_0,esk53_0)|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[6258,133,theory(equality)])).
% cnf(6262,negated_conjecture,(esk51_0=nil|frontsegP(esk51_0,esk53_0)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[6259,134,theory(equality)])).
% cnf(6263,negated_conjecture,(esk51_0=nil|frontsegP(esk51_0,esk53_0)|~ssItem(esk52_0)),inference(cn,[status(thm)],[6262,theory(equality)])).
% cnf(6282,negated_conjecture,(esk51_0=nil|frontsegP(esk51_0,esk53_0)),inference(csr,[status(thm)],[6263,595])).
% cnf(6283,negated_conjecture,(ssList(esk20_2(esk51_0,esk53_0))|esk51_0=nil|~ssList(esk53_0)|~ssList(esk51_0)),inference(spm,[status(thm)],[324,6282,theory(equality)])).
% cnf(6285,negated_conjecture,(app(esk53_0,esk20_2(esk51_0,esk53_0))=esk51_0|esk51_0=nil|~ssList(esk53_0)|~ssList(esk51_0)),inference(spm,[status(thm)],[323,6282,theory(equality)])).
% cnf(6288,negated_conjecture,(ssList(esk20_2(esk51_0,esk53_0))|esk51_0=nil|~ssList(esk53_0)|$false),inference(rw,[status(thm)],[6283,588,theory(equality)])).
% cnf(6289,negated_conjecture,(ssList(esk20_2(esk51_0,esk53_0))|esk51_0=nil|~ssList(esk53_0)),inference(cn,[status(thm)],[6288,theory(equality)])).
% cnf(6292,negated_conjecture,(app(esk53_0,esk20_2(esk51_0,esk53_0))=esk51_0|esk51_0=nil|~ssList(esk53_0)|$false),inference(rw,[status(thm)],[6285,588,theory(equality)])).
% cnf(6293,negated_conjecture,(app(esk53_0,esk20_2(esk51_0,esk53_0))=esk51_0|esk51_0=nil|~ssList(esk53_0)),inference(cn,[status(thm)],[6292,theory(equality)])).
% cnf(6299,negated_conjecture,(esk51_0=nil|ssList(esk20_2(esk51_0,esk53_0))),inference(csr,[status(thm)],[6289,596])).
% cnf(6300,negated_conjecture,(app(esk53_0,esk20_2(esk51_0,esk53_0))=esk51_0|esk51_0=nil),inference(csr,[status(thm)],[6293,596])).
% cnf(6323,negated_conjecture,(esk20_2(esk51_0,esk53_0)=cons(esk52_0,nil)|esk51_0=nil|~ssList(esk20_2(esk51_0,esk53_0))),inference(spm,[status(thm)],[2329,6300,theory(equality)])).
% cnf(7010,negated_conjecture,(tl(cons(esk52_0,esk53_0))=app(esk53_0,nil)|esk51_0=nil|~ssList(app(esk53_0,nil))),inference(csr,[status(thm)],[5567,595])).
% cnf(7013,negated_conjecture,(tl(cons(esk52_0,esk53_0))=app(esk53_0,nil)|esk51_0=nil|~ssList(nil)|~ssList(esk53_0)),inference(spm,[status(thm)],[7010,159,theory(equality)])).
% cnf(7014,negated_conjecture,(tl(cons(esk52_0,esk53_0))=app(esk53_0,nil)|esk51_0=nil|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[7013,134,theory(equality)])).
% cnf(7015,negated_conjecture,(tl(cons(esk52_0,esk53_0))=app(esk53_0,nil)|esk51_0=nil|~ssList(esk53_0)),inference(cn,[status(thm)],[7014,theory(equality)])).
% cnf(7071,negated_conjecture,(tl(cons(esk52_0,esk53_0))=app(esk53_0,nil)|esk51_0=nil),inference(csr,[status(thm)],[7015,596])).
% cnf(7082,negated_conjecture,(tl(esk48_0)=app(esk53_0,nil)|esk51_0=nil),inference(spm,[status(thm)],[7071,1412,theory(equality)])).
% cnf(7147,negated_conjecture,(app(esk53_0,nil)=app(nil,esk53_0)|esk51_0=nil),inference(spm,[status(thm)],[1841,7082,theory(equality)])).
% cnf(7295,negated_conjecture,(ssList(app(nil,esk53_0))|esk51_0=nil|~ssList(nil)|~ssList(esk53_0)),inference(spm,[status(thm)],[159,7147,theory(equality)])).
% cnf(7318,negated_conjecture,(cons(esk52_0,app(nil,esk53_0))=app(esk48_0,nil)|esk51_0=nil|~ssList(nil)),inference(spm,[status(thm)],[4830,7147,theory(equality)])).
% cnf(7332,negated_conjecture,(ssList(app(nil,esk53_0))|esk51_0=nil|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[7295,134,theory(equality)])).
% cnf(7333,negated_conjecture,(ssList(app(nil,esk53_0))|esk51_0=nil|~ssList(esk53_0)),inference(cn,[status(thm)],[7332,theory(equality)])).
% cnf(7368,negated_conjecture,(cons(esk52_0,app(nil,esk53_0))=app(esk48_0,nil)|esk51_0=nil|$false),inference(rw,[status(thm)],[7318,134,theory(equality)])).
% cnf(7369,negated_conjecture,(cons(esk52_0,app(nil,esk53_0))=app(esk48_0,nil)|esk51_0=nil),inference(cn,[status(thm)],[7368,theory(equality)])).
% cnf(7498,negated_conjecture,(esk51_0=nil|ssList(app(nil,esk53_0))),inference(csr,[status(thm)],[7333,596])).
% cnf(7790,negated_conjecture,(cons(esk52_0,tl(app(esk48_0,nil)))=app(esk48_0,nil)|esk51_0=nil|~ssList(app(nil,esk53_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[3394,7369,theory(equality)])).
% cnf(8243,negated_conjecture,(segmentP(X1,esk53_0)|esk51_0=nil|esk51_0!=X1|~ssList(esk20_2(esk51_0,esk53_0))|~ssList(esk53_0)|~ssList(X1)),inference(spm,[status(thm)],[833,6300,theory(equality)])).
% cnf(8393,plain,(segmentP(app(cons(X1,X2),X3),X2)|~ssList(cons(X1,nil))|~ssList(X3)|~ssList(X2)|~ssList(app(cons(X1,X2),X3))|~ssItem(X1)),inference(er,[status(thm)],[829,theory(equality)])).
% cnf(8651,plain,(segmentP(X1,X2)|app(X3,X2)!=X1|~ssList(X3)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[837,159])).
% cnf(8652,plain,(segmentP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)|~ssList(app(X1,X2))),inference(er,[status(thm)],[8651,theory(equality)])).
% cnf(11003,plain,(app(X1,app(X2,nil))=app(X1,X2)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[884,159])).
% cnf(11027,negated_conjecture,(app(nil,esk51_0)=app(esk51_0,nil)|esk51_0=nil|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[3977,11003,theory(equality)])).
% cnf(11028,negated_conjecture,(app(nil,esk51_0)=app(esk51_0,nil)|esk48_0=nil|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[4277,11003,theory(equality)])).
% cnf(11113,negated_conjecture,(app(nil,esk51_0)=app(esk51_0,nil)|esk51_0=nil|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[11027,134,theory(equality)])).
% cnf(11114,negated_conjecture,(app(nil,esk51_0)=app(esk51_0,nil)|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[11113,588,theory(equality)])).
% cnf(11115,negated_conjecture,(app(nil,esk51_0)=app(esk51_0,nil)|esk51_0=nil),inference(cn,[status(thm)],[11114,theory(equality)])).
% cnf(11116,negated_conjecture,(app(nil,esk51_0)=app(esk51_0,nil)|esk48_0=nil|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[11028,134,theory(equality)])).
% cnf(11117,negated_conjecture,(app(nil,esk51_0)=app(esk51_0,nil)|esk48_0=nil|$false|$false),inference(rw,[status(thm)],[11116,588,theory(equality)])).
% cnf(11118,negated_conjecture,(app(nil,esk51_0)=app(esk51_0,nil)|esk48_0=nil),inference(cn,[status(thm)],[11117,theory(equality)])).
% cnf(11276,negated_conjecture,(ssList(app(nil,esk51_0))|esk48_0=nil|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[159,11118,theory(equality)])).
% cnf(11312,negated_conjecture,(ssList(app(nil,esk51_0))|esk48_0=nil|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[11276,134,theory(equality)])).
% cnf(11313,negated_conjecture,(ssList(app(nil,esk51_0))|esk48_0=nil|$false|$false),inference(rw,[status(thm)],[11312,588,theory(equality)])).
% cnf(11314,negated_conjecture,(ssList(app(nil,esk51_0))|esk48_0=nil),inference(cn,[status(thm)],[11313,theory(equality)])).
% cnf(11630,plain,(ssList(app(X1,app(X2,X3)))|~ssList(X2)|~ssList(X1)|~ssList(X3)),inference(csr,[status(thm)],[868,159])).
% cnf(11705,negated_conjecture,(ssList(app(esk53_0,X1))|esk51_0=nil|~ssList(X1)|~ssList(esk53_0)|~ssList(nil)),inference(spm,[status(thm)],[11630,3903,theory(equality)])).
% cnf(11823,negated_conjecture,(ssList(app(esk53_0,X1))|esk51_0=nil|~ssList(X1)|~ssList(esk53_0)|$false),inference(rw,[status(thm)],[11705,134,theory(equality)])).
% cnf(11824,negated_conjecture,(ssList(app(esk53_0,X1))|esk51_0=nil|~ssList(X1)|~ssList(esk53_0)),inference(cn,[status(thm)],[11823,theory(equality)])).
% cnf(16189,plain,(ssList(cons(X1,app(X2,X3)))|~ssList(X2)|~ssList(X3)|~ssItem(X1)),inference(csr,[status(thm)],[891,133])).
% cnf(16240,plain,(ssList(cons(X1,nil))|~ssList(nil)|~ssItem(X1)),inference(spm,[status(thm)],[16189,1572,theory(equality)])).
% cnf(16371,plain,(ssList(cons(X1,nil))|$false|~ssItem(X1)),inference(rw,[status(thm)],[16240,134,theory(equality)])).
% cnf(16372,plain,(ssList(cons(X1,nil))|~ssItem(X1)),inference(cn,[status(thm)],[16371,theory(equality)])).
% cnf(36579,negated_conjecture,(esk20_2(esk51_0,esk53_0)=cons(esk52_0,nil)|esk51_0=nil),inference(csr,[status(thm)],[6323,6299])).
% cnf(36581,negated_conjecture,(esk51_0=nil|ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[6299,36579,theory(equality)])).
% cnf(44879,negated_conjecture,(esk51_0=nil|ssList(app(esk53_0,X1))|~ssList(X1)),inference(csr,[status(thm)],[11824,596])).
% cnf(54514,negated_conjecture,(cons(esk52_0,tl(app(esk48_0,nil)))=app(esk48_0,nil)|esk51_0=nil|~ssList(app(nil,esk53_0))),inference(csr,[status(thm)],[7790,595])).
% cnf(54515,negated_conjecture,(cons(esk52_0,tl(app(esk48_0,nil)))=app(esk48_0,nil)|esk51_0=nil),inference(csr,[status(thm)],[54514,7498])).
% cnf(54688,negated_conjecture,(cons(esk52_0,app(tl(esk48_0),nil))=app(esk48_0,nil)|esk51_0=nil|nil=esk48_0|~ssList(nil)|~ssList(esk48_0)),inference(spm,[status(thm)],[54515,265,theory(equality)])).
% cnf(54694,negated_conjecture,(cons(esk52_0,app(tl(esk48_0),nil))=app(esk48_0,nil)|esk51_0=nil|nil=esk48_0|$false|~ssList(esk48_0)),inference(rw,[status(thm)],[54688,134,theory(equality)])).
% cnf(54695,negated_conjecture,(cons(esk52_0,app(tl(esk48_0),nil))=app(esk48_0,nil)|esk51_0=nil|nil=esk48_0|$false|$false),inference(rw,[status(thm)],[54694,573,theory(equality)])).
% cnf(54696,negated_conjecture,(cons(esk52_0,app(tl(esk48_0),nil))=app(esk48_0,nil)|esk51_0=nil|nil=esk48_0),inference(cn,[status(thm)],[54695,theory(equality)])).
% cnf(56655,negated_conjecture,(cons(esk52_0,app(tl(esk48_0),nil))=app(esk48_0,nil)|esk51_0=nil),inference(csr,[status(thm)],[54696,1446])).
% cnf(56848,negated_conjecture,(cons(esk52_0,app(app(esk53_0,nil),nil))=app(esk48_0,nil)|esk51_0=nil),inference(spm,[status(thm)],[56655,7082,theory(equality)])).
% cnf(60972,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),X1))=app(esk51_0,X1)|esk51_0=nil|~ssList(cons(esk52_0,nil))|~ssList(X1)),inference(csr,[status(thm)],[1356,596])).
% cnf(60973,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),X1))=app(esk51_0,X1)|esk51_0=nil|~ssList(X1)),inference(csr,[status(thm)],[60972,36581])).
% cnf(61084,negated_conjecture,(app(esk53_0,cons(esk52_0,nil))=app(esk51_0,nil)|esk51_0=nil|~ssList(nil)|~ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[60973,215,theory(equality)])).
% cnf(61102,negated_conjecture,(app(esk53_0,cons(esk52_0,nil))=app(esk51_0,nil)|esk51_0=nil|$false|~ssList(cons(esk52_0,nil))),inference(rw,[status(thm)],[61084,134,theory(equality)])).
% cnf(61103,negated_conjecture,(app(esk53_0,cons(esk52_0,nil))=app(esk51_0,nil)|esk51_0=nil|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[61102,theory(equality)])).
% cnf(62256,negated_conjecture,(app(esk53_0,cons(esk52_0,nil))=app(esk51_0,nil)|esk51_0=nil),inference(csr,[status(thm)],[61103,36581])).
% cnf(62407,negated_conjecture,(app(nil,app(esk51_0,nil))=app(esk51_0,nil)|esk51_0=nil|~ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[3903,62256,theory(equality)])).
% cnf(62411,negated_conjecture,(esk51_0=nil|ssList(app(esk51_0,nil))|~ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[44879,62256,theory(equality)])).
% cnf(62563,negated_conjecture,(esk51_0=nil|ssList(app(esk51_0,nil))),inference(csr,[status(thm)],[62411,36581])).
% cnf(62854,negated_conjecture,(app(nil,app(esk51_0,nil))=app(esk51_0,nil)|esk51_0=nil),inference(csr,[status(thm)],[62407,36581])).
% cnf(63353,negated_conjecture,(app(cons(esk52_0,nil),app(esk53_0,X1))=app(esk48_0,X1)|esk51_0=nil|~ssList(esk53_0)|~ssList(X1)),inference(csr,[status(thm)],[1389,36581])).
% cnf(63354,negated_conjecture,(app(cons(esk52_0,nil),app(esk53_0,X1))=app(esk48_0,X1)|esk51_0=nil|~ssList(X1)),inference(csr,[status(thm)],[63353,596])).
% cnf(63468,negated_conjecture,(app(cons(esk52_0,nil),esk53_0)=app(esk48_0,nil)|esk51_0=nil|~ssList(nil)),inference(spm,[status(thm)],[63354,5644,theory(equality)])).
% cnf(63470,negated_conjecture,(app(cons(esk52_0,nil),app(nil,esk53_0))=app(esk48_0,nil)|esk51_0=nil|~ssList(nil)),inference(spm,[status(thm)],[63354,7147,theory(equality)])).
% cnf(63489,negated_conjecture,(app(cons(esk52_0,nil),esk53_0)=app(esk48_0,nil)|esk51_0=nil|$false),inference(rw,[status(thm)],[63468,134,theory(equality)])).
% cnf(63490,negated_conjecture,(app(cons(esk52_0,nil),esk53_0)=app(esk48_0,nil)|esk51_0=nil),inference(cn,[status(thm)],[63489,theory(equality)])).
% cnf(63493,negated_conjecture,(app(cons(esk52_0,nil),app(nil,esk53_0))=app(esk48_0,nil)|esk51_0=nil|$false),inference(rw,[status(thm)],[63470,134,theory(equality)])).
% cnf(63494,negated_conjecture,(app(cons(esk52_0,nil),app(nil,esk53_0))=app(esk48_0,nil)|esk51_0=nil),inference(cn,[status(thm)],[63493,theory(equality)])).
% cnf(63508,negated_conjecture,(app(nil,app(esk48_0,nil))=app(esk48_0,nil)|esk51_0=nil|~ssList(esk53_0)|~ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[886,63490,theory(equality)])).
% cnf(65202,negated_conjecture,(app(nil,app(esk48_0,nil))=app(esk48_0,nil)|esk51_0=nil|~ssList(esk53_0)),inference(csr,[status(thm)],[63508,36581])).
% cnf(65203,negated_conjecture,(app(nil,app(esk48_0,nil))=app(esk48_0,nil)|esk51_0=nil),inference(csr,[status(thm)],[65202,596])).
% cnf(65284,negated_conjecture,(app(esk48_0,nil)=app(nil,esk48_0)|esk51_0=nil|~ssList(esk48_0)|~ssList(nil)),inference(spm,[status(thm)],[11003,65203,theory(equality)])).
% cnf(65480,negated_conjecture,(app(esk48_0,nil)=app(nil,esk48_0)|esk51_0=nil|$false|~ssList(nil)),inference(rw,[status(thm)],[65284,573,theory(equality)])).
% cnf(65481,negated_conjecture,(app(esk48_0,nil)=app(nil,esk48_0)|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[65480,134,theory(equality)])).
% cnf(65482,negated_conjecture,(app(esk48_0,nil)=app(nil,esk48_0)|esk51_0=nil),inference(cn,[status(thm)],[65481,theory(equality)])).
% cnf(91010,negated_conjecture,(app(X1,X2)=cons(esk52_0,nil)|esk51_0=nil|app(X1,app(X2,esk53_0))!=esk48_0|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[2348,596])).
% cnf(91011,negated_conjecture,(app(X1,X2)=cons(esk52_0,nil)|esk51_0=nil|app(X1,app(X2,esk53_0))!=esk48_0|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[91010,159])).
% cnf(91050,negated_conjecture,(app(cons(esk52_0,nil),nil)=cons(esk52_0,nil)|esk51_0=nil|app(esk48_0,nil)!=esk48_0|~ssList(nil)|~ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[91011,63494,theory(equality)])).
% cnf(91106,negated_conjecture,(app(cons(esk52_0,nil),nil)=cons(esk52_0,nil)|esk51_0=nil|app(esk48_0,nil)!=esk48_0|$false|~ssList(cons(esk52_0,nil))),inference(rw,[status(thm)],[91050,134,theory(equality)])).
% cnf(91107,negated_conjecture,(app(cons(esk52_0,nil),nil)=cons(esk52_0,nil)|esk51_0=nil|app(esk48_0,nil)!=esk48_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[91106,theory(equality)])).
% cnf(91148,negated_conjecture,(app(cons(esk52_0,nil),nil)=cons(esk52_0,nil)|esk51_0=nil|app(esk48_0,nil)!=esk48_0),inference(csr,[status(thm)],[91107,36581])).
% cnf(91149,negated_conjecture,(app(cons(esk52_0,nil),nil)=cons(esk52_0,nil)|esk51_0=nil),inference(csr,[status(thm)],[91148,5225])).
% cnf(193860,negated_conjecture,(cons(esk52_0,app(app(esk53_0,X1),X2))=app(app(esk48_0,X1),X2)|esk51_0=nil|~ssList(app(esk53_0,X1))|~ssList(X1)|~ssList(X2)),inference(csr,[status(thm)],[4840,595])).
% cnf(193861,negated_conjecture,(cons(esk52_0,app(app(esk53_0,X1),X2))=app(app(esk48_0,X1),X2)|esk51_0=nil|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[193860,44879])).
% cnf(194206,negated_conjecture,(app(app(esk48_0,nil),nil)=app(esk48_0,nil)|esk51_0=nil|~ssList(nil)),inference(spm,[status(thm)],[56848,193861,theory(equality)])).
% cnf(194278,negated_conjecture,(app(app(esk48_0,nil),nil)=app(esk48_0,nil)|esk51_0=nil|$false),inference(rw,[status(thm)],[194206,134,theory(equality)])).
% cnf(194279,negated_conjecture,(app(app(esk48_0,nil),nil)=app(esk48_0,nil)|esk51_0=nil),inference(cn,[status(thm)],[194278,theory(equality)])).
% cnf(194427,negated_conjecture,(app(app(nil,esk48_0),nil)=app(nil,esk48_0)|esk51_0=nil),inference(spm,[status(thm)],[194279,65482,theory(equality)])).
% cnf(196004,negated_conjecture,(app(nil,esk48_0)=app(nil,app(esk48_0,nil))|esk51_0=nil|~ssList(nil)|~ssList(esk48_0)),inference(spm,[status(thm)],[205,194427,theory(equality)])).
% cnf(196198,negated_conjecture,(app(nil,esk48_0)=app(nil,app(esk48_0,nil))|esk51_0=nil|$false|~ssList(esk48_0)),inference(rw,[status(thm)],[196004,134,theory(equality)])).
% cnf(196199,negated_conjecture,(app(nil,esk48_0)=app(nil,app(esk48_0,nil))|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[196198,573,theory(equality)])).
% cnf(196200,negated_conjecture,(app(nil,esk48_0)=app(nil,app(esk48_0,nil))|esk51_0=nil),inference(cn,[status(thm)],[196199,theory(equality)])).
% cnf(196780,negated_conjecture,(app(nil,cons(esk52_0,esk53_0))=app(nil,esk48_0)|esk51_0=nil),inference(spm,[status(thm)],[196200,4870,theory(equality)])).
% cnf(198150,negated_conjecture,(esk51_0=nil|cons(esk52_0,esk53_0)=esk51_0|app(nil,esk48_0)!=esk51_0|~ssList(cons(esk52_0,esk53_0))),inference(spm,[status(thm)],[3989,196780,theory(equality)])).
% cnf(198153,negated_conjecture,(esk48_0=nil|cons(esk52_0,esk53_0)=esk51_0|esk51_0=nil|app(nil,esk48_0)!=esk51_0|~ssList(cons(esk52_0,esk53_0))),inference(spm,[status(thm)],[4289,196780,theory(equality)])).
% cnf(198630,negated_conjecture,(cons(esk52_0,esk53_0)=esk51_0|esk51_0=nil|app(nil,esk48_0)!=esk51_0),inference(csr,[status(thm)],[198150,4895])).
% cnf(199992,negated_conjecture,(cons(esk52_0,esk53_0)=esk51_0|esk48_0=nil|esk51_0=nil|app(nil,esk48_0)!=esk51_0),inference(csr,[status(thm)],[198153,198630])).
% cnf(199993,negated_conjecture,(cons(esk52_0,esk53_0)=esk51_0|esk48_0=nil|app(nil,esk48_0)!=esk51_0),inference(csr,[status(thm)],[199992,591])).
% cnf(206594,negated_conjecture,(app(esk48_0,app(esk51_0,nil))=app(cons(esk52_0,esk53_0),app(esk51_0,nil))|esk51_0=nil|~ssList(app(esk51_0,nil))),inference(spm,[status(thm)],[4904,62854,theory(equality)])).
% cnf(207197,negated_conjecture,(esk51_0=nil|cons(esk52_0,nil)=esk48_0|cons(esk52_0,nil)!=cons(esk52_0,esk53_0)|~ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[4913,91149,theory(equality)])).
% cnf(210642,negated_conjecture,(cons(esk52_0,nil)=esk48_0|esk51_0=nil|cons(esk52_0,esk53_0)!=cons(esk52_0,nil)),inference(csr,[status(thm)],[207197,36581])).
% cnf(230337,negated_conjecture,(app(cons(esk52_0,esk53_0),app(nil,X1))=app(cons(esk52_0,esk53_0),X1)|esk51_0=nil|~ssList(X1)),inference(csr,[status(thm)],[5531,4895])).
% cnf(360825,negated_conjecture,(app(cons(esk52_0,esk53_0),app(esk51_0,nil))=app(esk48_0,app(esk51_0,nil))|esk51_0=nil),inference(csr,[status(thm)],[206594,62563])).
% cnf(361043,negated_conjecture,(app(cons(esk52_0,esk53_0),app(nil,esk51_0))=app(esk48_0,app(nil,esk51_0))|esk51_0=nil),inference(spm,[status(thm)],[360825,11115,theory(equality)])).
% cnf(361554,negated_conjecture,(app(esk48_0,app(nil,esk51_0))=app(cons(esk52_0,esk53_0),esk51_0)|esk51_0=nil|~ssList(esk51_0)),inference(spm,[status(thm)],[230337,361043,theory(equality)])).
% cnf(361636,negated_conjecture,(app(esk48_0,app(nil,esk51_0))=app(cons(esk52_0,esk53_0),esk51_0)|esk51_0=nil|$false),inference(rw,[status(thm)],[361554,588,theory(equality)])).
% cnf(361637,negated_conjecture,(app(esk48_0,app(nil,esk51_0))=app(cons(esk52_0,esk53_0),esk51_0)|esk51_0=nil),inference(cn,[status(thm)],[361636,theory(equality)])).
% cnf(364099,negated_conjecture,(esk48_0=nil|esk51_0=nil|app(cons(esk52_0,esk53_0),esk51_0)!=app(nil,esk51_0)|~ssList(app(nil,esk51_0))|~ssList(esk48_0)),inference(spm,[status(thm)],[755,361637,theory(equality)])).
% cnf(364375,negated_conjecture,(esk48_0=nil|esk51_0=nil|app(cons(esk52_0,esk53_0),esk51_0)!=app(nil,esk51_0)|~ssList(app(nil,esk51_0))|$false),inference(rw,[status(thm)],[364099,573,theory(equality)])).
% cnf(364376,negated_conjecture,(esk48_0=nil|esk51_0=nil|app(cons(esk52_0,esk53_0),esk51_0)!=app(nil,esk51_0)|~ssList(app(nil,esk51_0))),inference(cn,[status(thm)],[364375,theory(equality)])).
% cnf(365629,negated_conjecture,(esk48_0=nil|esk51_0=nil|app(cons(esk52_0,esk53_0),esk51_0)!=app(nil,esk51_0)),inference(csr,[status(thm)],[364376,11314])).
% cnf(365630,negated_conjecture,(esk48_0=nil|app(cons(esk52_0,esk53_0),esk51_0)!=app(nil,esk51_0)),inference(csr,[status(thm)],[365629,591])).
% cnf(377253,negated_conjecture,(esk51_0=nil|segmentP(X1,esk53_0)|esk51_0!=X1|~ssList(esk20_2(esk51_0,esk53_0))|~ssList(X1)),inference(csr,[status(thm)],[8243,596])).
% cnf(377254,negated_conjecture,(esk51_0=nil|segmentP(X1,esk53_0)|esk51_0!=X1|~ssList(X1)),inference(csr,[status(thm)],[377253,6299])).
% cnf(377255,negated_conjecture,(esk51_0=nil|segmentP(esk51_0,esk53_0)|~ssList(esk51_0)),inference(er,[status(thm)],[377254,theory(equality)])).
% cnf(377256,negated_conjecture,(esk51_0=nil|segmentP(esk51_0,esk53_0)|$false),inference(rw,[status(thm)],[377255,588,theory(equality)])).
% cnf(377257,negated_conjecture,(esk51_0=nil|segmentP(esk51_0,esk53_0)),inference(cn,[status(thm)],[377256,theory(equality)])).
% cnf(381855,plain,(segmentP(app(cons(X1,X2),X3),X2)|~ssList(app(cons(X1,X2),X3))|~ssList(X3)|~ssList(X2)|~ssItem(X1)),inference(csr,[status(thm)],[8393,16372])).
% cnf(382055,negated_conjecture,(segmentP(cons(esk52_0,esk53_0),esk53_0)|esk51_0=nil|~ssList(cons(esk52_0,esk53_0))|~ssList(nil)|~ssList(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[381855,5410,theory(equality)])).
% cnf(382184,negated_conjecture,(segmentP(cons(esk52_0,esk53_0),esk53_0)|esk51_0=nil|~ssList(cons(esk52_0,esk53_0))|$false|~ssList(esk53_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[382055,134,theory(equality)])).
% cnf(382185,negated_conjecture,(segmentP(cons(esk52_0,esk53_0),esk53_0)|esk51_0=nil|~ssList(cons(esk52_0,esk53_0))|~ssList(esk53_0)|~ssItem(esk52_0)),inference(cn,[status(thm)],[382184,theory(equality)])).
% cnf(384268,negated_conjecture,(esk51_0=nil|segmentP(cons(esk52_0,esk53_0),esk53_0)|~ssList(cons(esk52_0,esk53_0))|~ssList(esk53_0)),inference(csr,[status(thm)],[382185,595])).
% cnf(384269,negated_conjecture,(esk51_0=nil|segmentP(cons(esk52_0,esk53_0),esk53_0)|~ssList(cons(esk52_0,esk53_0))),inference(csr,[status(thm)],[384268,596])).
% cnf(384270,negated_conjecture,(esk51_0=nil|segmentP(cons(esk52_0,esk53_0),esk53_0)),inference(csr,[status(thm)],[384269,4895])).
% cnf(384277,negated_conjecture,(esk51_0=nil|segmentP(esk48_0,esk53_0)),inference(spm,[status(thm)],[384270,1412,theory(equality)])).
% cnf(384285,negated_conjecture,(esk51_0=nil|~segmentP(esk51_0,esk53_0)|~ssList(esk53_0)|~neq(esk53_0,nil)),inference(spm,[status(thm)],[605,384277,theory(equality)])).
% cnf(384301,negated_conjecture,(esk51_0=nil|~segmentP(esk51_0,esk53_0)|~neq(esk53_0,nil)),inference(csr,[status(thm)],[384285,596])).
% cnf(384302,negated_conjecture,(esk51_0=nil|~neq(esk53_0,nil)),inference(csr,[status(thm)],[384301,377257])).
% cnf(384304,negated_conjecture,(esk51_0=nil|esk53_0=nil|~ssList(nil)|~ssList(esk53_0)),inference(spm,[status(thm)],[384302,128,theory(equality)])).
% cnf(384305,negated_conjecture,(esk51_0=nil|esk53_0=nil|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[384304,134,theory(equality)])).
% cnf(384306,negated_conjecture,(esk51_0=nil|esk53_0=nil|~ssList(esk53_0)),inference(cn,[status(thm)],[384305,theory(equality)])).
% cnf(384307,negated_conjecture,(esk51_0=nil|esk53_0=nil),inference(csr,[status(thm)],[384306,596])).
% cnf(385454,negated_conjecture,(cons(esk52_0,nil)=esk48_0|esk51_0=nil),inference(spm,[status(thm)],[210642,384307,theory(equality)])).
% cnf(389061,negated_conjecture,(app(esk53_0,esk48_0)=esk51_0|esk51_0=nil),inference(spm,[status(thm)],[597,385454,theory(equality)])).
% cnf(402281,negated_conjecture,(app(nil,esk48_0)=esk51_0|esk51_0=nil),inference(spm,[status(thm)],[389061,384307,theory(equality)])).
% cnf(405437,plain,(segmentP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)),inference(csr,[status(thm)],[8652,159])).
% cnf(410855,negated_conjecture,(segmentP(esk51_0,esk48_0)|esk51_0=nil|~ssList(nil)|~ssList(esk48_0)),inference(spm,[status(thm)],[405437,402281,theory(equality)])).
% cnf(411096,negated_conjecture,(cons(esk52_0,esk53_0)=esk51_0|esk48_0=nil|esk51_0=nil),inference(spm,[status(thm)],[199993,402281,theory(equality)])).
% cnf(411217,negated_conjecture,(segmentP(esk51_0,esk48_0)|esk51_0=nil|$false|~ssList(esk48_0)),inference(rw,[status(thm)],[410855,134,theory(equality)])).
% cnf(411218,negated_conjecture,(segmentP(esk51_0,esk48_0)|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[411217,573,theory(equality)])).
% cnf(411219,negated_conjecture,(segmentP(esk51_0,esk48_0)|esk51_0=nil),inference(cn,[status(thm)],[411218,theory(equality)])).
% cnf(420001,negated_conjecture,(cons(esk52_0,esk53_0)=esk51_0|esk48_0=nil),inference(csr,[status(thm)],[411096,591])).
% cnf(420756,negated_conjecture,(esk48_0=nil|app(esk51_0,esk51_0)!=app(nil,esk51_0)),inference(spm,[status(thm)],[365630,420001,theory(equality)])).
% cnf(428051,negated_conjecture,(esk51_0=nil|~neq(esk48_0,nil)),inference(spm,[status(thm)],[612,411219,theory(equality)])).
% cnf(428077,negated_conjecture,(esk51_0=nil|esk48_0=nil|~ssList(nil)|~ssList(esk48_0)),inference(spm,[status(thm)],[428051,128,theory(equality)])).
% cnf(428078,negated_conjecture,(esk51_0=nil|esk48_0=nil|$false|~ssList(esk48_0)),inference(rw,[status(thm)],[428077,134,theory(equality)])).
% cnf(428079,negated_conjecture,(esk51_0=nil|esk48_0=nil|$false|$false),inference(rw,[status(thm)],[428078,573,theory(equality)])).
% cnf(428080,negated_conjecture,(esk51_0=nil|esk48_0=nil),inference(cn,[status(thm)],[428079,theory(equality)])).
% cnf(428081,negated_conjecture,(esk51_0=nil),inference(csr,[status(thm)],[428080,1446])).
% cnf(428086,negated_conjecture,(esk48_0=nil|nil!=app(nil,esk51_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[420756,428081,theory(equality)]),428081,theory(equality)]),1572,theory(equality)])).
% cnf(428087,negated_conjecture,(esk48_0=nil|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[428086,428081,theory(equality)]),1572,theory(equality)])).
% cnf(428088,negated_conjecture,(esk48_0=nil),inference(cn,[status(thm)],[428087,theory(equality)])).
% cnf(432089,negated_conjecture,(neq(nil,nil)|esk48_0!=nil),inference(rw,[status(thm)],[592,428081,theory(equality)])).
% cnf(433836,negated_conjecture,(neq(nil,nil)|$false),inference(rw,[status(thm)],[432089,428088,theory(equality)])).
% cnf(433837,negated_conjecture,(neq(nil,nil)),inference(cn,[status(thm)],[433836,theory(equality)])).
% cnf(433838,negated_conjecture,(~ssList(nil)),inference(spm,[status(thm)],[634,433837,theory(equality)])).
% cnf(433844,negated_conjecture,($false),inference(rw,[status(thm)],[433838,134,theory(equality)])).
% cnf(433845,negated_conjecture,($false),inference(cn,[status(thm)],[433844,theory(equality)])).
% cnf(433846,negated_conjecture,($false),433845,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 26732
% # ...of these trivial                : 78
% # ...subsumed                        : 21499
% # ...remaining for further processing: 5155
% # Other redundant clauses eliminated : 1207
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 978
% # Backward-rewritten                 : 3308
% # Generated clauses                  : 229087
% # ...of the previous two non-trivial : 221408
% # Contextual simplify-reflections    : 27696
% # Paramodulations                    : 227343
% # Factorizations                     : 1
% # Equation resolutions               : 1743
% # Current number of processed clauses: 863
% #    Positive orientable unit clauses: 23
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 2
% #    Non-unit-clauses                : 838
% # Current number of unprocessed clauses: 17821
% # ...number of literals in the above : 157526
% # Clause-clause subsumption calls (NU) : 7425286
% # Rec. Clause-clause subsumption calls : 4017699
% # Unit Clause-clause subsumption calls : 1150
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 8
% # Indexed BW rewrite successes       : 8
% # Backwards rewriting index:   673 leaves,   1.67+/-1.512 terms/leaf
% # Paramod-from index:          236 leaves,   1.02+/-0.144 terms/leaf
% # Paramod-into index:          425 leaves,   1.53+/-1.394 terms/leaf
% # -------------------------------------------------
% # User time              : 16.476 s
% # System time            : 0.388 s
% # Total time             : 16.864 s
% # Maximum resident set size: 0 pages
% PrfWatch: 24.58 CPU 24.86 WC
% FINAL PrfWatch: 24.58 CPU 24.86 WC
% SZS output end Solution for /tmp/SystemOnTPTP15958/SWC063+1.tptp
% 
%------------------------------------------------------------------------------