%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SWC214+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 : art06.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 07:23:54 EST 2010

% Result   : Theorem 10.21s
% Output   : Solution 10.21s
% 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/SystemOnTPTP26232/SWC214+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP26232/SWC214+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP26232/SWC214+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 26328
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.91 CPU 4.01 WC
% # Preprocessing time     : 0.031 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 5.91 CPU 6.02 WC
% PrfWatch: 7.90 CPU 8.02 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(neq(X1,X2)<=>~(X1=X2)))),file('/tmp/SRASS.s.p', ax15)).
% fof(2, axiom,ssList(nil),file('/tmp/SRASS.s.p', ax17)).
% fof(3, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>((frontsegP(X1,X2)&frontsegP(X2,X3))=>frontsegP(X1,X3))))),file('/tmp/SRASS.s.p', ax40)).
% fof(7, axiom,![X1]:(ssList(X1)=>(frontsegP(nil,X1)<=>nil=X1)),file('/tmp/SRASS.s.p', ax46)).
% fof(11, axiom,![X1]:(ssList(X1)=>segmentP(X1,nil)),file('/tmp/SRASS.s.p', ax57)).
% fof(15, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(frontsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X2,X3)=X1)))),file('/tmp/SRASS.s.p', ax5)).
% fof(16, 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(17, axiom,![X1]:(ssList(X1)=>app(nil,X1)=X1),file('/tmp/SRASS.s.p', ax28)).
% fof(18, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(nil=app(X1,X2)<=>(nil=X2&nil=X1)))),file('/tmp/SRASS.s.p', ax83)).
% fof(19, axiom,![X1]:(ssList(X1)=>app(X1,nil)=X1),file('/tmp/SRASS.s.p', ax84)).
% fof(20, 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(22, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>ssList(tl(X1)))),file('/tmp/SRASS.s.p', ax24)).
% fof(26, axiom,![X1]:(ssItem(X1)=>strictorderedP(cons(X1,nil))),file('/tmp/SRASS.s.p', ax68)).
% fof(28, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>~(nil=cons(X2,X1)))),file('/tmp/SRASS.s.p', ax21)).
% fof(31, 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(33, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>ssList(cons(X2,X1)))),file('/tmp/SRASS.s.p', ax16)).
% fof(34, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>ssItem(hd(X1)))),file('/tmp/SRASS.s.p', ax22)).
% fof(35, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>ssList(app(X1,X2)))),file('/tmp/SRASS.s.p', ax26)).
% fof(40, axiom,![X1]:(ssList(X1)=>rearsegP(X1,nil)),file('/tmp/SRASS.s.p', ax51)).
% fof(44, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(~(nil=X1)=>hd(app(X1,X2))=hd(X1)))),file('/tmp/SRASS.s.p', ax85)).
% fof(45, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(~(nil=X1)=>tl(app(X1,X2))=app(tl(X1),X2)))),file('/tmp/SRASS.s.p', ax86)).
% fof(53, 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(71, 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(78, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>cons(X2,X1)=app(cons(X2,nil),X1))),file('/tmp/SRASS.s.p', ax81)).
% fof(79, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(rearsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X3,X2)=X1)))),file('/tmp/SRASS.s.p', ax6)).
% fof(81, 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))|~(neq(X2,nil)))|~(frontsegP(X4,X3)))|~(strictorderedP(X3)))|?[X5]:((((ssList(X5)&neq(X3,X5))&frontsegP(X4,X5))&segmentP(X5,X3))&strictorderedP(X5)))|neq(X1,nil)))))),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))|~(neq(X2,nil)))|~(frontsegP(X4,X3)))|~(strictorderedP(X3)))|?[X5]:((((ssList(X5)&neq(X3,X5))&frontsegP(X4,X5))&segmentP(X5,X3))&strictorderedP(X5)))|neq(X1,nil))))))),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))|~(neq(X2,nil)))|~(frontsegP(X4,X3)))|~(strictorderedP(X3)))|?[X5]:((((ssList(X5)&neq(X3,X5))&frontsegP(X4,X5))&segmentP(X5,X3))&strictorderedP(X5)))|neq(X1,nil))))))),inference(fof_simplification,[status(thm)],[97,theory(equality)])).
% fof(104, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(neq(X1,X2))|~(X1=X2))&(X1=X2|neq(X1,X2))))),inference(fof_nnf,[status(thm)],[1])).
% fof(105, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))),inference(variable_rename,[status(thm)],[104])).
% fof(106, plain,![X3]:![X4]:((~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[105])).
% fof(107, 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)],[106])).
% cnf(108,plain,(neq(X1,X2)|X1=X2|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[107])).
% cnf(110,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[2])).
% fof(111, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|((~(frontsegP(X1,X2))|~(frontsegP(X2,X3)))|frontsegP(X1,X3))))),inference(fof_nnf,[status(thm)],[3])).
% fof(112, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|((~(frontsegP(X4,X5))|~(frontsegP(X5,X6)))|frontsegP(X4,X6))))),inference(variable_rename,[status(thm)],[111])).
% fof(113, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|((~(frontsegP(X4,X5))|~(frontsegP(X5,X6)))|frontsegP(X4,X6)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[112])).
% cnf(114,plain,(frontsegP(X1,X3)|~ssList(X1)|~ssList(X2)|~frontsegP(X2,X3)|~frontsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[113])).
% fof(125, plain,![X1]:(~(ssList(X1))|((~(frontsegP(nil,X1))|nil=X1)&(~(nil=X1)|frontsegP(nil,X1)))),inference(fof_nnf,[status(thm)],[7])).
% fof(126, plain,![X2]:(~(ssList(X2))|((~(frontsegP(nil,X2))|nil=X2)&(~(nil=X2)|frontsegP(nil,X2)))),inference(variable_rename,[status(thm)],[125])).
% fof(127, plain,![X2]:(((~(frontsegP(nil,X2))|nil=X2)|~(ssList(X2)))&((~(nil=X2)|frontsegP(nil,X2))|~(ssList(X2)))),inference(distribute,[status(thm)],[126])).
% cnf(128,plain,(frontsegP(nil,X1)|~ssList(X1)|nil!=X1),inference(split_conjunct,[status(thm)],[127])).
% fof(141, plain,![X1]:(~(ssList(X1))|segmentP(X1,nil)),inference(fof_nnf,[status(thm)],[11])).
% fof(142, plain,![X2]:(~(ssList(X2))|segmentP(X2,nil)),inference(variable_rename,[status(thm)],[141])).
% cnf(143,plain,(segmentP(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[142])).
% fof(156, 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)],[15])).
% fof(157, 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)],[156])).
% fof(158, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(frontsegP(X4,X5))|(ssList(esk1_2(X4,X5))&app(X5,esk1_2(X4,X5))=X4))&(![X7]:(~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))))),inference(skolemize,[status(esa)],[157])).
% fof(159, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))&(~(frontsegP(X4,X5))|(ssList(esk1_2(X4,X5))&app(X5,esk1_2(X4,X5))=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[158])).
% fof(160, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk1_2(X4,X5))|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(X5,esk1_2(X4,X5))=X4|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[159])).
% cnf(161,plain,(app(X2,esk1_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[160])).
% cnf(162,plain,(ssList(esk1_2(X1,X2))|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[160])).
% cnf(163,plain,(frontsegP(X1,X2)|~ssList(X1)|~ssList(X2)|app(X2,X3)!=X1|~ssList(X3)),inference(split_conjunct,[status(thm)],[160])).
% fof(164, 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)],[16])).
% fof(165, 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)],[164])).
% fof(166, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|((~(segmentP(X5,X6))|(ssList(esk2_2(X5,X6))&(ssList(esk3_2(X5,X6))&app(app(esk2_2(X5,X6),X6),esk3_2(X5,X6))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(app(X9,X6),X10)=X5)))|segmentP(X5,X6))))),inference(skolemize,[status(esa)],[165])).
% fof(167, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(app(X9,X6),X10)=X5))|~(ssList(X9)))|segmentP(X5,X6))&(~(segmentP(X5,X6))|(ssList(esk2_2(X5,X6))&(ssList(esk3_2(X5,X6))&app(app(esk2_2(X5,X6),X6),esk3_2(X5,X6))=X5))))|~(ssList(X6)))|~(ssList(X5))),inference(shift_quantors,[status(thm)],[166])).
% fof(168, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(app(X9,X6),X10)=X5))|~(ssList(X9)))|segmentP(X5,X6))|~(ssList(X6)))|~(ssList(X5)))&((((ssList(esk2_2(X5,X6))|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))&((((ssList(esk3_2(X5,X6))|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))&(((app(app(esk2_2(X5,X6),X6),esk3_2(X5,X6))=X5|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))))),inference(distribute,[status(thm)],[167])).
% cnf(169,plain,(app(app(esk2_2(X1,X2),X2),esk3_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~segmentP(X1,X2)),inference(split_conjunct,[status(thm)],[168])).
% cnf(170,plain,(ssList(esk3_2(X1,X2))|~ssList(X1)|~ssList(X2)|~segmentP(X1,X2)),inference(split_conjunct,[status(thm)],[168])).
% cnf(171,plain,(ssList(esk2_2(X1,X2))|~ssList(X1)|~ssList(X2)|~segmentP(X1,X2)),inference(split_conjunct,[status(thm)],[168])).
% cnf(172,plain,(segmentP(X1,X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|app(app(X3,X2),X4)!=X1|~ssList(X4)),inference(split_conjunct,[status(thm)],[168])).
% fof(173, plain,![X1]:(~(ssList(X1))|app(nil,X1)=X1),inference(fof_nnf,[status(thm)],[17])).
% fof(174, plain,![X2]:(~(ssList(X2))|app(nil,X2)=X2),inference(variable_rename,[status(thm)],[173])).
% cnf(175,plain,(app(nil,X1)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[174])).
% fof(176, 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)],[18])).
% fof(177, 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)],[176])).
% fof(178, 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)],[177])).
% fof(179, 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)],[178])).
% cnf(181,plain,(nil=X1|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[179])).
% cnf(182,plain,(nil=X2|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[179])).
% fof(183, plain,![X1]:(~(ssList(X1))|app(X1,nil)=X1),inference(fof_nnf,[status(thm)],[19])).
% fof(184, plain,![X2]:(~(ssList(X2))|app(X2,nil)=X2),inference(variable_rename,[status(thm)],[183])).
% cnf(185,plain,(app(X1,nil)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[184])).
% fof(186, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(frontsegP(X1,X2))|frontsegP(app(X1,X3),X2))))),inference(fof_nnf,[status(thm)],[20])).
% fof(187, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(frontsegP(X4,X5))|frontsegP(app(X4,X6),X5))))),inference(variable_rename,[status(thm)],[186])).
% fof(188, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(frontsegP(X4,X5))|frontsegP(app(X4,X6),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[187])).
% cnf(189,plain,(frontsegP(app(X1,X3),X2)|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[188])).
% fof(194, plain,![X1]:(~(ssList(X1))|(nil=X1|ssList(tl(X1)))),inference(fof_nnf,[status(thm)],[22])).
% fof(195, plain,![X2]:(~(ssList(X2))|(nil=X2|ssList(tl(X2)))),inference(variable_rename,[status(thm)],[194])).
% cnf(196,plain,(ssList(tl(X1))|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[195])).
% fof(215, plain,![X1]:(~(ssItem(X1))|strictorderedP(cons(X1,nil))),inference(fof_nnf,[status(thm)],[26])).
% fof(216, plain,![X2]:(~(ssItem(X2))|strictorderedP(cons(X2,nil))),inference(variable_rename,[status(thm)],[215])).
% cnf(217,plain,(strictorderedP(cons(X1,nil))|~ssItem(X1)),inference(split_conjunct,[status(thm)],[216])).
% fof(225, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|~(nil=cons(X2,X1)))),inference(fof_nnf,[status(thm)],[28])).
% fof(226, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|~(nil=cons(X4,X3)))),inference(variable_rename,[status(thm)],[225])).
% fof(227, plain,![X3]:![X4]:((~(ssItem(X4))|~(nil=cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[226])).
% cnf(228,plain,(~ssList(X1)|nil!=cons(X2,X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[227])).
% fof(237, 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)],[31])).
% fof(238, 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)],[237])).
% fof(239, 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)],[238])).
% cnf(240,plain,(app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X1)|~ssList(X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[239])).
% fof(246, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|ssList(cons(X2,X1)))),inference(fof_nnf,[status(thm)],[33])).
% fof(247, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|ssList(cons(X4,X3)))),inference(variable_rename,[status(thm)],[246])).
% fof(248, plain,![X3]:![X4]:((~(ssItem(X4))|ssList(cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[247])).
% cnf(249,plain,(ssList(cons(X2,X1))|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[248])).
% fof(250, plain,![X1]:(~(ssList(X1))|(nil=X1|ssItem(hd(X1)))),inference(fof_nnf,[status(thm)],[34])).
% fof(251, plain,![X2]:(~(ssList(X2))|(nil=X2|ssItem(hd(X2)))),inference(variable_rename,[status(thm)],[250])).
% cnf(252,plain,(ssItem(hd(X1))|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[251])).
% fof(253, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|ssList(app(X1,X2)))),inference(fof_nnf,[status(thm)],[35])).
% fof(254, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|ssList(app(X3,X4)))),inference(variable_rename,[status(thm)],[253])).
% fof(255, plain,![X3]:![X4]:((~(ssList(X4))|ssList(app(X3,X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[254])).
% cnf(256,plain,(ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[255])).
% fof(272, plain,![X1]:(~(ssList(X1))|rearsegP(X1,nil)),inference(fof_nnf,[status(thm)],[40])).
% fof(273, plain,![X2]:(~(ssList(X2))|rearsegP(X2,nil)),inference(variable_rename,[status(thm)],[272])).
% cnf(274,plain,(rearsegP(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[273])).
% fof(288, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|(nil=X1|hd(app(X1,X2))=hd(X1)))),inference(fof_nnf,[status(thm)],[44])).
% fof(289, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|(nil=X3|hd(app(X3,X4))=hd(X3)))),inference(variable_rename,[status(thm)],[288])).
% fof(290, plain,![X3]:![X4]:((~(ssList(X4))|(nil=X3|hd(app(X3,X4))=hd(X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[289])).
% cnf(291,plain,(hd(app(X1,X2))=hd(X1)|nil=X1|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[290])).
% fof(292, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|(nil=X1|tl(app(X1,X2))=app(tl(X1),X2)))),inference(fof_nnf,[status(thm)],[45])).
% fof(293, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|(nil=X3|tl(app(X3,X4))=app(tl(X3),X4)))),inference(variable_rename,[status(thm)],[292])).
% fof(294, plain,![X3]:![X4]:((~(ssList(X4))|(nil=X3|tl(app(X3,X4))=app(tl(X3),X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[293])).
% cnf(295,plain,(tl(app(X1,X2))=app(tl(X1),X2)|nil=X1|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[294])).
% fof(341, 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)],[53])).
% fof(342, 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)],[341])).
% fof(343, 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)],[342])).
% cnf(344,plain,(cons(X3,app(X2,X1))=app(cons(X3,X2),X1)|~ssList(X1)|~ssList(X2)|~ssItem(X3)),inference(split_conjunct,[status(thm)],[343])).
% fof(399, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(rearsegP(X1,X2))|rearsegP(app(X3,X1),X2))))),inference(fof_nnf,[status(thm)],[71])).
% fof(400, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5))))),inference(variable_rename,[status(thm)],[399])).
% fof(401, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[400])).
% cnf(402,plain,(rearsegP(app(X3,X1),X2)|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[401])).
% fof(421, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|cons(X2,X1)=app(cons(X2,nil),X1))),inference(fof_nnf,[status(thm)],[78])).
% fof(422, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))),inference(variable_rename,[status(thm)],[421])).
% fof(423, plain,![X3]:![X4]:((~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[422])).
% cnf(424,plain,(cons(X2,X1)=app(cons(X2,nil),X1)|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[423])).
% fof(425, 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)],[79])).
% fof(426, 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)],[425])).
% fof(427, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(rearsegP(X4,X5))|(ssList(esk16_2(X4,X5))&app(esk16_2(X4,X5),X5)=X4))&(![X7]:(~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))))),inference(skolemize,[status(esa)],[426])).
% fof(428, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))&(~(rearsegP(X4,X5))|(ssList(esk16_2(X4,X5))&app(esk16_2(X4,X5),X5)=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[427])).
% fof(429, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk16_2(X4,X5))|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(esk16_2(X4,X5),X5)=X4|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[428])).
% cnf(430,plain,(app(esk16_2(X1,X2),X2)=X1|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[429])).
% cnf(431,plain,(ssList(esk16_2(X1,X2))|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[429])).
% fof(447, plain,![X1]:(~(ssList(X1))|(nil=X1|cons(hd(X1),tl(X1))=X1)),inference(fof_nnf,[status(thm)],[81])).
% fof(448, plain,![X2]:(~(ssList(X2))|(nil=X2|cons(hd(X2),tl(X2))=X2)),inference(variable_rename,[status(thm)],[447])).
% cnf(449,plain,(cons(hd(X1),tl(X1))=X1|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[448])).
% fof(568, negated_conjecture,?[X1]:(ssList(X1)&?[X2]:(ssList(X2)&?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&((((((X2=X4&X1=X3)&neq(X2,nil))&frontsegP(X4,X3))&strictorderedP(X3))&![X5]:((((~(ssList(X5))|~(neq(X3,X5)))|~(frontsegP(X4,X5)))|~(segmentP(X5,X3)))|~(strictorderedP(X5))))&~(neq(X1,nil))))))),inference(fof_nnf,[status(thm)],[103])).
% fof(569, negated_conjecture,?[X6]:(ssList(X6)&?[X7]:(ssList(X7)&?[X8]:(ssList(X8)&?[X9]:(ssList(X9)&((((((X7=X9&X6=X8)&neq(X7,nil))&frontsegP(X9,X8))&strictorderedP(X8))&![X10]:((((~(ssList(X10))|~(neq(X8,X10)))|~(frontsegP(X9,X10)))|~(segmentP(X10,X8)))|~(strictorderedP(X10))))&~(neq(X6,nil))))))),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)&neq(esk49_0,nil))&frontsegP(esk51_0,esk50_0))&strictorderedP(esk50_0))&![X10]:((((~(ssList(X10))|~(neq(esk50_0,X10)))|~(frontsegP(esk51_0,X10)))|~(segmentP(X10,esk50_0)))|~(strictorderedP(X10))))&~(neq(esk48_0,nil))))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,![X10]:((((((((((~(ssList(X10))|~(neq(esk50_0,X10)))|~(frontsegP(esk51_0,X10)))|~(segmentP(X10,esk50_0)))|~(strictorderedP(X10)))&((((esk49_0=esk51_0&esk48_0=esk50_0)&neq(esk49_0,nil))&frontsegP(esk51_0,esk50_0))&strictorderedP(esk50_0)))&~(neq(esk48_0,nil)))&ssList(esk51_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,(~neq(esk48_0,nil)),inference(split_conjunct,[status(thm)],[571])).
% cnf(578,negated_conjecture,(frontsegP(esk51_0,esk50_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(579,negated_conjecture,(neq(esk49_0,nil)),inference(split_conjunct,[status(thm)],[571])).
% cnf(580,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(581,negated_conjecture,(esk49_0=esk51_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(582,negated_conjecture,(~strictorderedP(X1)|~segmentP(X1,esk50_0)|~frontsegP(esk51_0,X1)|~neq(esk50_0,X1)|~ssList(X1)),inference(split_conjunct,[status(thm)],[571])).
% cnf(583,negated_conjecture,(~neq(esk50_0,nil)),inference(rw,[status(thm)],[576,580,theory(equality)])).
% cnf(584,negated_conjecture,(ssList(esk50_0)),inference(rw,[status(thm)],[572,580,theory(equality)])).
% cnf(585,negated_conjecture,(ssList(esk51_0)),inference(rw,[status(thm)],[573,581,theory(equality)])).
% cnf(588,negated_conjecture,(neq(esk51_0,nil)),inference(rw,[status(thm)],[579,581,theory(equality)])).
% cnf(589,plain,(frontsegP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[128,theory(equality)])).
% cnf(590,plain,(frontsegP(nil,nil)|$false),inference(rw,[status(thm)],[589,110,theory(equality)])).
% cnf(591,plain,(frontsegP(nil,nil)),inference(cn,[status(thm)],[590,theory(equality)])).
% cnf(619,negated_conjecture,(esk50_0=nil|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[583,108,theory(equality)])).
% cnf(620,negated_conjecture,(esk50_0=nil|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[619,110,theory(equality)])).
% cnf(621,negated_conjecture,(esk50_0=nil|$false|$false),inference(rw,[status(thm)],[620,584,theory(equality)])).
% cnf(622,negated_conjecture,(esk50_0=nil),inference(cn,[status(thm)],[621,theory(equality)])).
% cnf(681,plain,(ssList(esk16_2(X1,nil))|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[431,274,theory(equality)])).
% cnf(683,plain,(ssList(esk16_2(X1,nil))|$false|~ssList(X1)),inference(rw,[status(thm)],[681,110,theory(equality)])).
% cnf(684,plain,(ssList(esk16_2(X1,nil))|~ssList(X1)),inference(cn,[status(thm)],[683,theory(equality)])).
% cnf(781,plain,(cons(hd(X1),tl(app(X1,X2)))=app(X1,X2)|nil=app(X1,X2)|nil=X1|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[449,291,theory(equality)])).
% cnf(795,plain,(frontsegP(X1,cons(X2,nil))|cons(X2,X3)!=X1|~ssList(X3)|~ssList(cons(X2,nil))|~ssList(X1)|~ssItem(X2)),inference(spm,[status(thm)],[163,424,theory(equality)])).
% cnf(818,plain,(rearsegP(app(X1,X2),nil)|~ssList(X1)|~ssList(nil)|~ssList(X2)),inference(spm,[status(thm)],[402,274,theory(equality)])).
% cnf(820,plain,(rearsegP(app(X1,X2),nil)|~ssList(X1)|$false|~ssList(X2)),inference(rw,[status(thm)],[818,110,theory(equality)])).
% cnf(821,plain,(rearsegP(app(X1,X2),nil)|~ssList(X1)|~ssList(X2)),inference(cn,[status(thm)],[820,theory(equality)])).
% cnf(826,plain,(app(esk16_2(X1,nil),nil)=X1|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[430,274,theory(equality)])).
% cnf(828,plain,(app(esk16_2(X1,nil),nil)=X1|$false|~ssList(X1)),inference(rw,[status(thm)],[826,110,theory(equality)])).
% cnf(829,plain,(app(esk16_2(X1,nil),nil)=X1|~ssList(X1)),inference(cn,[status(thm)],[828,theory(equality)])).
% cnf(836,plain,(nil=app(X1,X2)|ssList(app(tl(X1),X2))|nil=X1|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[196,295,theory(equality)])).
% cnf(953,plain,(ssList(cons(X1,app(X2,X3)))|~ssList(X3)|~ssList(cons(X1,X2))|~ssItem(X1)|~ssList(X2)),inference(spm,[status(thm)],[256,344,theory(equality)])).
% cnf(1326,negated_conjecture,(~strictorderedP(X1)|~segmentP(X1,nil)|~frontsegP(esk51_0,X1)|~neq(esk50_0,X1)|~ssList(X1)),inference(rw,[status(thm)],[582,622,theory(equality)])).
% cnf(1327,negated_conjecture,(~strictorderedP(X1)|~segmentP(X1,nil)|~frontsegP(esk51_0,X1)|~neq(nil,X1)|~ssList(X1)),inference(rw,[status(thm)],[1326,622,theory(equality)])).
% cnf(1328,negated_conjecture,(~neq(nil,nil)),inference(rw,[status(thm)],[583,622,theory(equality)])).
% cnf(1329,negated_conjecture,(frontsegP(esk51_0,nil)),inference(rw,[status(thm)],[578,622,theory(equality)])).
% cnf(1333,plain,(ssList(esk1_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[162,591,theory(equality)])).
% cnf(1334,plain,(app(nil,esk1_2(nil,nil))=nil|~ssList(nil)),inference(spm,[status(thm)],[161,591,theory(equality)])).
% cnf(1337,plain,(ssList(esk1_2(nil,nil))|$false),inference(rw,[status(thm)],[1333,110,theory(equality)])).
% cnf(1338,plain,(ssList(esk1_2(nil,nil))),inference(cn,[status(thm)],[1337,theory(equality)])).
% cnf(1339,plain,(app(nil,esk1_2(nil,nil))=nil|$false),inference(rw,[status(thm)],[1334,110,theory(equality)])).
% cnf(1340,plain,(app(nil,esk1_2(nil,nil))=nil),inference(cn,[status(thm)],[1339,theory(equality)])).
% cnf(1360,negated_conjecture,(ssList(esk1_2(esk51_0,nil))|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[162,1329,theory(equality)])).
% cnf(1362,negated_conjecture,(app(nil,esk1_2(esk51_0,nil))=esk51_0|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[161,1329,theory(equality)])).
% cnf(1365,negated_conjecture,(ssList(esk1_2(esk51_0,nil))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[1360,110,theory(equality)])).
% cnf(1366,negated_conjecture,(ssList(esk1_2(esk51_0,nil))|$false|$false),inference(rw,[status(thm)],[1365,585,theory(equality)])).
% cnf(1367,negated_conjecture,(ssList(esk1_2(esk51_0,nil))),inference(cn,[status(thm)],[1366,theory(equality)])).
% cnf(1371,negated_conjecture,(app(nil,esk1_2(esk51_0,nil))=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[1362,110,theory(equality)])).
% cnf(1372,negated_conjecture,(app(nil,esk1_2(esk51_0,nil))=esk51_0|$false|$false),inference(rw,[status(thm)],[1371,585,theory(equality)])).
% cnf(1373,negated_conjecture,(app(nil,esk1_2(esk51_0,nil))=esk51_0),inference(cn,[status(thm)],[1372,theory(equality)])).
% cnf(1399,plain,(nil=esk1_2(nil,nil)|~ssList(esk1_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[182,1340,theory(equality)])).
% cnf(1426,plain,(nil=esk1_2(nil,nil)|$false|~ssList(nil)),inference(rw,[status(thm)],[1399,1338,theory(equality)])).
% cnf(1427,plain,(nil=esk1_2(nil,nil)|$false|$false),inference(rw,[status(thm)],[1426,110,theory(equality)])).
% cnf(1428,plain,(nil=esk1_2(nil,nil)),inference(cn,[status(thm)],[1427,theory(equality)])).
% cnf(1440,plain,(app(nil,nil)=nil),inference(rw,[status(thm)],[1340,1428,theory(equality)])).
% cnf(1484,negated_conjecture,(esk51_0=esk1_2(esk51_0,nil)|~ssList(esk1_2(esk51_0,nil))),inference(spm,[status(thm)],[175,1373,theory(equality)])).
% cnf(1519,negated_conjecture,(esk51_0=esk1_2(esk51_0,nil)|$false),inference(rw,[status(thm)],[1484,1367,theory(equality)])).
% cnf(1520,negated_conjecture,(esk51_0=esk1_2(esk51_0,nil)),inference(cn,[status(thm)],[1519,theory(equality)])).
% cnf(1521,negated_conjecture,(app(nil,esk51_0)=esk51_0),inference(rw,[status(thm)],[1373,1520,theory(equality)])).
% cnf(1529,negated_conjecture,(segmentP(X1,esk51_0)|app(esk51_0,X2)!=X1|~ssList(X2)|~ssList(nil)|~ssList(esk51_0)|~ssList(X1)),inference(spm,[status(thm)],[172,1521,theory(equality)])).
% cnf(1553,negated_conjecture,(segmentP(X1,esk51_0)|app(esk51_0,X2)!=X1|~ssList(X2)|$false|~ssList(esk51_0)|~ssList(X1)),inference(rw,[status(thm)],[1529,110,theory(equality)])).
% cnf(1554,negated_conjecture,(segmentP(X1,esk51_0)|app(esk51_0,X2)!=X1|~ssList(X2)|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[1553,585,theory(equality)])).
% cnf(1555,negated_conjecture,(segmentP(X1,esk51_0)|app(esk51_0,X2)!=X1|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[1554,theory(equality)])).
% cnf(1719,negated_conjecture,(~strictorderedP(X1)|~frontsegP(esk51_0,X1)|~neq(nil,X1)|~ssList(X1)),inference(csr,[status(thm)],[1327,143])).
% cnf(2175,negated_conjecture,(segmentP(X1,esk51_0)|esk51_0!=X1|~ssList(nil)|~ssList(X1)|~ssList(esk51_0)),inference(spm,[status(thm)],[1555,185,theory(equality)])).
% cnf(2176,negated_conjecture,(segmentP(X1,esk51_0)|esk51_0!=X1|$false|~ssList(X1)|~ssList(esk51_0)),inference(rw,[status(thm)],[2175,110,theory(equality)])).
% cnf(2177,negated_conjecture,(segmentP(X1,esk51_0)|esk51_0!=X1|$false|~ssList(X1)|$false),inference(rw,[status(thm)],[2176,585,theory(equality)])).
% cnf(2178,negated_conjecture,(segmentP(X1,esk51_0)|esk51_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[2177,theory(equality)])).
% cnf(2180,negated_conjecture,(segmentP(esk51_0,esk51_0)|~ssList(esk51_0)),inference(er,[status(thm)],[2178,theory(equality)])).
% cnf(2181,negated_conjecture,(segmentP(esk51_0,esk51_0)|$false),inference(rw,[status(thm)],[2180,585,theory(equality)])).
% cnf(2182,negated_conjecture,(segmentP(esk51_0,esk51_0)),inference(cn,[status(thm)],[2181,theory(equality)])).
% cnf(2183,negated_conjecture,(ssList(esk2_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[171,2182,theory(equality)])).
% cnf(2184,negated_conjecture,(ssList(esk3_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[170,2182,theory(equality)])).
% cnf(2185,negated_conjecture,(app(app(esk2_2(esk51_0,esk51_0),esk51_0),esk3_2(esk51_0,esk51_0))=esk51_0|~ssList(esk51_0)),inference(spm,[status(thm)],[169,2182,theory(equality)])).
% cnf(2188,negated_conjecture,(ssList(esk2_2(esk51_0,esk51_0))|$false),inference(rw,[status(thm)],[2183,585,theory(equality)])).
% cnf(2189,negated_conjecture,(ssList(esk2_2(esk51_0,esk51_0))),inference(cn,[status(thm)],[2188,theory(equality)])).
% cnf(2190,negated_conjecture,(ssList(esk3_2(esk51_0,esk51_0))|$false),inference(rw,[status(thm)],[2184,585,theory(equality)])).
% cnf(2191,negated_conjecture,(ssList(esk3_2(esk51_0,esk51_0))),inference(cn,[status(thm)],[2190,theory(equality)])).
% cnf(2192,negated_conjecture,(app(app(esk2_2(esk51_0,esk51_0),esk51_0),esk3_2(esk51_0,esk51_0))=esk51_0|$false),inference(rw,[status(thm)],[2185,585,theory(equality)])).
% cnf(2193,negated_conjecture,(app(app(esk2_2(esk51_0,esk51_0),esk51_0),esk3_2(esk51_0,esk51_0))=esk51_0),inference(cn,[status(thm)],[2192,theory(equality)])).
% cnf(2215,negated_conjecture,(esk51_0=app(esk2_2(esk51_0,esk51_0),app(esk51_0,esk3_2(esk51_0,esk51_0)))|~ssList(esk3_2(esk51_0,esk51_0))|~ssList(esk51_0)|~ssList(esk2_2(esk51_0,esk51_0))),inference(spm,[status(thm)],[240,2193,theory(equality)])).
% cnf(2253,negated_conjecture,(esk51_0=app(esk2_2(esk51_0,esk51_0),app(esk51_0,esk3_2(esk51_0,esk51_0)))|$false|~ssList(esk51_0)|~ssList(esk2_2(esk51_0,esk51_0))),inference(rw,[status(thm)],[2215,2191,theory(equality)])).
% cnf(2254,negated_conjecture,(esk51_0=app(esk2_2(esk51_0,esk51_0),app(esk51_0,esk3_2(esk51_0,esk51_0)))|$false|$false|~ssList(esk2_2(esk51_0,esk51_0))),inference(rw,[status(thm)],[2253,585,theory(equality)])).
% cnf(2255,negated_conjecture,(esk51_0=app(esk2_2(esk51_0,esk51_0),app(esk51_0,esk3_2(esk51_0,esk51_0)))|$false|$false|$false),inference(rw,[status(thm)],[2254,2189,theory(equality)])).
% cnf(2256,negated_conjecture,(esk51_0=app(esk2_2(esk51_0,esk51_0),app(esk51_0,esk3_2(esk51_0,esk51_0)))),inference(cn,[status(thm)],[2255,theory(equality)])).
% cnf(2376,plain,(frontsegP(X1,esk16_2(X2,nil))|X2!=X1|~ssList(nil)|~ssList(esk16_2(X2,nil))|~ssList(X1)|~ssList(X2)),inference(spm,[status(thm)],[163,829,theory(equality)])).
% cnf(2402,plain,(frontsegP(X1,esk16_2(X2,nil))|X2!=X1|$false|~ssList(esk16_2(X2,nil))|~ssList(X1)|~ssList(X2)),inference(rw,[status(thm)],[2376,110,theory(equality)])).
% cnf(2403,plain,(frontsegP(X1,esk16_2(X2,nil))|X2!=X1|~ssList(esk16_2(X2,nil))|~ssList(X1)|~ssList(X2)),inference(cn,[status(thm)],[2402,theory(equality)])).
% cnf(2404,plain,(frontsegP(X1,esk16_2(X1,nil))|~ssList(esk16_2(X1,nil))|~ssList(X1)),inference(er,[status(thm)],[2403,theory(equality)])).
% cnf(2453,negated_conjecture,(frontsegP(X1,esk2_2(esk51_0,esk51_0))|esk51_0!=X1|~ssList(app(esk51_0,esk3_2(esk51_0,esk51_0)))|~ssList(esk2_2(esk51_0,esk51_0))|~ssList(X1)),inference(spm,[status(thm)],[163,2256,theory(equality)])).
% cnf(2479,negated_conjecture,(frontsegP(X1,esk2_2(esk51_0,esk51_0))|esk51_0!=X1|~ssList(app(esk51_0,esk3_2(esk51_0,esk51_0)))|$false|~ssList(X1)),inference(rw,[status(thm)],[2453,2189,theory(equality)])).
% cnf(2480,negated_conjecture,(frontsegP(X1,esk2_2(esk51_0,esk51_0))|esk51_0!=X1|~ssList(app(esk51_0,esk3_2(esk51_0,esk51_0)))|~ssList(X1)),inference(cn,[status(thm)],[2479,theory(equality)])).
% cnf(2500,negated_conjecture,(frontsegP(X1,esk2_2(esk51_0,esk51_0))|esk51_0!=X1|~ssList(X1)|~ssList(esk3_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[2480,256,theory(equality)])).
% cnf(2501,negated_conjecture,(frontsegP(X1,esk2_2(esk51_0,esk51_0))|esk51_0!=X1|~ssList(X1)|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[2500,2191,theory(equality)])).
% cnf(2502,negated_conjecture,(frontsegP(X1,esk2_2(esk51_0,esk51_0))|esk51_0!=X1|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[2501,585,theory(equality)])).
% cnf(2503,negated_conjecture,(frontsegP(X1,esk2_2(esk51_0,esk51_0))|esk51_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[2502,theory(equality)])).
% cnf(2504,negated_conjecture,(frontsegP(esk51_0,esk2_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(er,[status(thm)],[2503,theory(equality)])).
% cnf(2505,negated_conjecture,(frontsegP(esk51_0,esk2_2(esk51_0,esk51_0))|$false),inference(rw,[status(thm)],[2504,585,theory(equality)])).
% cnf(2506,negated_conjecture,(frontsegP(esk51_0,esk2_2(esk51_0,esk51_0))),inference(cn,[status(thm)],[2505,theory(equality)])).
% cnf(2507,negated_conjecture,(ssList(esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))|~ssList(esk2_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[162,2506,theory(equality)])).
% cnf(2509,negated_conjecture,(app(esk2_2(esk51_0,esk51_0),esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))=esk51_0|~ssList(esk2_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[161,2506,theory(equality)])).
% cnf(2513,negated_conjecture,(ssList(esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[2507,2189,theory(equality)])).
% cnf(2514,negated_conjecture,(ssList(esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))|$false|$false),inference(rw,[status(thm)],[2513,585,theory(equality)])).
% cnf(2515,negated_conjecture,(ssList(esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))),inference(cn,[status(thm)],[2514,theory(equality)])).
% cnf(2519,negated_conjecture,(app(esk2_2(esk51_0,esk51_0),esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[2509,2189,theory(equality)])).
% cnf(2520,negated_conjecture,(app(esk2_2(esk51_0,esk51_0),esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))=esk51_0|$false|$false),inference(rw,[status(thm)],[2519,585,theory(equality)])).
% cnf(2521,negated_conjecture,(app(esk2_2(esk51_0,esk51_0),esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))=esk51_0),inference(cn,[status(thm)],[2520,theory(equality)])).
% cnf(2914,plain,(frontsegP(X1,esk16_2(X1,nil))|~ssList(X1)),inference(csr,[status(thm)],[2404,684])).
% cnf(3842,negated_conjecture,(rearsegP(esk51_0,nil)|~ssList(esk2_2(esk51_0,esk51_0))|~ssList(esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))),inference(spm,[status(thm)],[821,2521,theory(equality)])).
% cnf(3882,negated_conjecture,(rearsegP(esk51_0,nil)|$false|~ssList(esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))),inference(rw,[status(thm)],[3842,2189,theory(equality)])).
% cnf(3883,negated_conjecture,(rearsegP(esk51_0,nil)|$false|$false),inference(rw,[status(thm)],[3882,2515,theory(equality)])).
% cnf(3884,negated_conjecture,(rearsegP(esk51_0,nil)),inference(cn,[status(thm)],[3883,theory(equality)])).
% cnf(3911,negated_conjecture,(ssList(esk16_2(esk51_0,nil))|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[431,3884,theory(equality)])).
% cnf(3912,negated_conjecture,(app(esk16_2(esk51_0,nil),nil)=esk51_0|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[430,3884,theory(equality)])).
% cnf(3917,negated_conjecture,(ssList(esk16_2(esk51_0,nil))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[3911,110,theory(equality)])).
% cnf(3918,negated_conjecture,(ssList(esk16_2(esk51_0,nil))|$false|$false),inference(rw,[status(thm)],[3917,585,theory(equality)])).
% cnf(3919,negated_conjecture,(ssList(esk16_2(esk51_0,nil))),inference(cn,[status(thm)],[3918,theory(equality)])).
% cnf(3920,negated_conjecture,(app(esk16_2(esk51_0,nil),nil)=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[3912,110,theory(equality)])).
% cnf(3921,negated_conjecture,(app(esk16_2(esk51_0,nil),nil)=esk51_0|$false|$false),inference(rw,[status(thm)],[3920,585,theory(equality)])).
% cnf(3922,negated_conjecture,(app(esk16_2(esk51_0,nil),nil)=esk51_0),inference(cn,[status(thm)],[3921,theory(equality)])).
% cnf(3956,negated_conjecture,(esk51_0=esk16_2(esk51_0,nil)|~ssList(esk16_2(esk51_0,nil))),inference(spm,[status(thm)],[185,3922,theory(equality)])).
% cnf(4016,negated_conjecture,(esk51_0=esk16_2(esk51_0,nil)|$false),inference(rw,[status(thm)],[3956,3919,theory(equality)])).
% cnf(4017,negated_conjecture,(esk51_0=esk16_2(esk51_0,nil)),inference(cn,[status(thm)],[4016,theory(equality)])).
% cnf(4031,negated_conjecture,(frontsegP(esk51_0,esk51_0)|~ssList(esk51_0)),inference(spm,[status(thm)],[2914,4017,theory(equality)])).
% cnf(4032,negated_conjecture,(app(esk51_0,nil)=esk51_0),inference(rw,[status(thm)],[3922,4017,theory(equality)])).
% cnf(4039,negated_conjecture,(frontsegP(esk51_0,esk51_0)|$false),inference(rw,[status(thm)],[4031,585,theory(equality)])).
% cnf(4040,negated_conjecture,(frontsegP(esk51_0,esk51_0)),inference(cn,[status(thm)],[4039,theory(equality)])).
% cnf(4043,negated_conjecture,(frontsegP(app(esk51_0,X1),esk51_0)|~ssList(X1)|~ssList(esk51_0)),inference(spm,[status(thm)],[189,4040,theory(equality)])).
% cnf(4052,negated_conjecture,(frontsegP(app(esk51_0,X1),esk51_0)|~ssList(X1)|$false),inference(rw,[status(thm)],[4043,585,theory(equality)])).
% cnf(4053,negated_conjecture,(frontsegP(app(esk51_0,X1),esk51_0)|~ssList(X1)),inference(cn,[status(thm)],[4052,theory(equality)])).
% cnf(4066,negated_conjecture,(tl(esk51_0)=app(tl(esk51_0),nil)|nil=esk51_0|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[295,4032,theory(equality)])).
% cnf(4067,negated_conjecture,(app(esk51_0,X1)=app(esk51_0,app(nil,X1))|~ssList(X1)|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[240,4032,theory(equality)])).
% cnf(4107,negated_conjecture,(tl(esk51_0)=app(tl(esk51_0),nil)|nil=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[4066,110,theory(equality)])).
% cnf(4108,negated_conjecture,(tl(esk51_0)=app(tl(esk51_0),nil)|nil=esk51_0|$false|$false),inference(rw,[status(thm)],[4107,585,theory(equality)])).
% cnf(4109,negated_conjecture,(tl(esk51_0)=app(tl(esk51_0),nil)|nil=esk51_0),inference(cn,[status(thm)],[4108,theory(equality)])).
% cnf(4110,negated_conjecture,(app(esk51_0,X1)=app(esk51_0,app(nil,X1))|~ssList(X1)|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[4067,110,theory(equality)])).
% cnf(4111,negated_conjecture,(app(esk51_0,X1)=app(esk51_0,app(nil,X1))|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[4110,585,theory(equality)])).
% cnf(4112,negated_conjecture,(app(esk51_0,X1)=app(esk51_0,app(nil,X1))|~ssList(X1)),inference(cn,[status(thm)],[4111,theory(equality)])).
% cnf(4333,negated_conjecture,(frontsegP(X1,esk51_0)|~frontsegP(X1,app(esk51_0,X2))|~ssList(esk51_0)|~ssList(app(esk51_0,X2))|~ssList(X1)|~ssList(X2)),inference(spm,[status(thm)],[114,4053,theory(equality)])).
% cnf(4346,negated_conjecture,(frontsegP(X1,esk51_0)|~frontsegP(X1,app(esk51_0,X2))|$false|~ssList(app(esk51_0,X2))|~ssList(X1)|~ssList(X2)),inference(rw,[status(thm)],[4333,585,theory(equality)])).
% cnf(4347,negated_conjecture,(frontsegP(X1,esk51_0)|~frontsegP(X1,app(esk51_0,X2))|~ssList(app(esk51_0,X2))|~ssList(X1)|~ssList(X2)),inference(cn,[status(thm)],[4346,theory(equality)])).
% cnf(4652,plain,(cons(hd(X1),tl(app(X1,X2)))=app(X1,X2)|app(X1,X2)=nil|nil=X1|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[781,256])).
% cnf(4653,plain,(cons(hd(X1),tl(app(X1,X2)))=app(X1,X2)|nil=X1|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[4652,181])).
% cnf(4688,negated_conjecture,(cons(hd(esk51_0),tl(esk51_0))=esk51_0|nil=esk51_0|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[4653,4032,theory(equality)])).
% cnf(4715,negated_conjecture,(cons(hd(esk51_0),tl(esk51_0))=esk51_0|nil=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[4688,110,theory(equality)])).
% cnf(4716,negated_conjecture,(cons(hd(esk51_0),tl(esk51_0))=esk51_0|nil=esk51_0|$false|$false),inference(rw,[status(thm)],[4715,585,theory(equality)])).
% cnf(4717,negated_conjecture,(cons(hd(esk51_0),tl(esk51_0))=esk51_0|nil=esk51_0),inference(cn,[status(thm)],[4716,theory(equality)])).
% cnf(5478,negated_conjecture,(frontsegP(X1,cons(hd(esk51_0),nil))|esk51_0=nil|esk51_0!=X1|~ssItem(hd(esk51_0))|~ssList(cons(hd(esk51_0),nil))|~ssList(tl(esk51_0))|~ssList(X1)),inference(spm,[status(thm)],[795,4717,theory(equality)])).
% cnf(5601,negated_conjecture,(frontsegP(X1,esk51_0)|~frontsegP(X1,app(esk51_0,X2))|~ssList(X1)|~ssList(X2)|~ssList(esk51_0)),inference(spm,[status(thm)],[4347,256,theory(equality)])).
% cnf(5614,negated_conjecture,(frontsegP(X1,esk51_0)|~frontsegP(X1,app(esk51_0,X2))|~ssList(X1)|~ssList(X2)|$false),inference(rw,[status(thm)],[5601,585,theory(equality)])).
% cnf(5615,negated_conjecture,(frontsegP(X1,esk51_0)|~frontsegP(X1,app(esk51_0,X2))|~ssList(X1)|~ssList(X2)),inference(cn,[status(thm)],[5614,theory(equality)])).
% cnf(5685,negated_conjecture,(ssList(app(esk51_0,X1))|~ssList(app(nil,X1))|~ssList(esk51_0)|~ssList(X1)),inference(spm,[status(thm)],[256,4112,theory(equality)])).
% cnf(5694,negated_conjecture,(rearsegP(app(esk51_0,X1),nil)|~ssList(esk51_0)|~ssList(app(nil,X1))|~ssList(X1)),inference(spm,[status(thm)],[821,4112,theory(equality)])).
% cnf(5726,negated_conjecture,(ssList(app(esk51_0,X1))|~ssList(app(nil,X1))|$false|~ssList(X1)),inference(rw,[status(thm)],[5685,585,theory(equality)])).
% cnf(5727,negated_conjecture,(ssList(app(esk51_0,X1))|~ssList(app(nil,X1))|~ssList(X1)),inference(cn,[status(thm)],[5726,theory(equality)])).
% cnf(5744,negated_conjecture,(rearsegP(app(esk51_0,X1),nil)|$false|~ssList(app(nil,X1))|~ssList(X1)),inference(rw,[status(thm)],[5694,585,theory(equality)])).
% cnf(5745,negated_conjecture,(rearsegP(app(esk51_0,X1),nil)|~ssList(app(nil,X1))|~ssList(X1)),inference(cn,[status(thm)],[5744,theory(equality)])).
% cnf(5877,negated_conjecture,(ssList(app(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[5727,1521,theory(equality)])).
% cnf(5892,negated_conjecture,(ssList(app(esk51_0,esk51_0))|$false),inference(rw,[status(thm)],[5877,585,theory(equality)])).
% cnf(5893,negated_conjecture,(ssList(app(esk51_0,esk51_0))),inference(cn,[status(thm)],[5892,theory(equality)])).
% cnf(6489,negated_conjecture,(rearsegP(app(esk51_0,esk51_0),nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[5745,1521,theory(equality)])).
% cnf(6505,negated_conjecture,(rearsegP(app(esk51_0,esk51_0),nil)|$false),inference(rw,[status(thm)],[6489,585,theory(equality)])).
% cnf(6506,negated_conjecture,(rearsegP(app(esk51_0,esk51_0),nil)),inference(cn,[status(thm)],[6505,theory(equality)])).
% cnf(6517,negated_conjecture,(ssList(esk16_2(app(esk51_0,esk51_0),nil))|~ssList(nil)|~ssList(app(esk51_0,esk51_0))),inference(spm,[status(thm)],[431,6506,theory(equality)])).
% cnf(6518,negated_conjecture,(app(esk16_2(app(esk51_0,esk51_0),nil),nil)=app(esk51_0,esk51_0)|~ssList(nil)|~ssList(app(esk51_0,esk51_0))),inference(spm,[status(thm)],[430,6506,theory(equality)])).
% cnf(6522,negated_conjecture,(ssList(esk16_2(app(esk51_0,esk51_0),nil))|$false|~ssList(app(esk51_0,esk51_0))),inference(rw,[status(thm)],[6517,110,theory(equality)])).
% cnf(6523,negated_conjecture,(ssList(esk16_2(app(esk51_0,esk51_0),nil))|$false|$false),inference(rw,[status(thm)],[6522,5893,theory(equality)])).
% cnf(6524,negated_conjecture,(ssList(esk16_2(app(esk51_0,esk51_0),nil))),inference(cn,[status(thm)],[6523,theory(equality)])).
% cnf(6525,negated_conjecture,(app(esk16_2(app(esk51_0,esk51_0),nil),nil)=app(esk51_0,esk51_0)|$false|~ssList(app(esk51_0,esk51_0))),inference(rw,[status(thm)],[6518,110,theory(equality)])).
% cnf(6526,negated_conjecture,(app(esk16_2(app(esk51_0,esk51_0),nil),nil)=app(esk51_0,esk51_0)|$false|$false),inference(rw,[status(thm)],[6525,5893,theory(equality)])).
% cnf(6527,negated_conjecture,(app(esk16_2(app(esk51_0,esk51_0),nil),nil)=app(esk51_0,esk51_0)),inference(cn,[status(thm)],[6526,theory(equality)])).
% cnf(6581,negated_conjecture,(app(esk51_0,esk51_0)=esk16_2(app(esk51_0,esk51_0),nil)|~ssList(esk16_2(app(esk51_0,esk51_0),nil))),inference(spm,[status(thm)],[185,6527,theory(equality)])).
% cnf(6653,negated_conjecture,(app(esk51_0,esk51_0)=esk16_2(app(esk51_0,esk51_0),nil)|$false),inference(rw,[status(thm)],[6581,6524,theory(equality)])).
% cnf(6654,negated_conjecture,(app(esk51_0,esk51_0)=esk16_2(app(esk51_0,esk51_0),nil)),inference(cn,[status(thm)],[6653,theory(equality)])).
% cnf(6929,negated_conjecture,(frontsegP(app(esk51_0,esk51_0),app(esk51_0,esk51_0))|~ssList(app(esk51_0,esk51_0))),inference(spm,[status(thm)],[2914,6654,theory(equality)])).
% cnf(6939,negated_conjecture,(frontsegP(app(esk51_0,esk51_0),app(esk51_0,esk51_0))|$false),inference(rw,[status(thm)],[6929,5893,theory(equality)])).
% cnf(6940,negated_conjecture,(frontsegP(app(esk51_0,esk51_0),app(esk51_0,esk51_0))),inference(cn,[status(thm)],[6939,theory(equality)])).
% cnf(6945,negated_conjecture,(frontsegP(app(esk51_0,esk51_0),esk51_0)|~ssList(app(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[5615,6940,theory(equality)])).
% cnf(6954,negated_conjecture,(frontsegP(app(esk51_0,esk51_0),esk51_0)|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[6945,5893,theory(equality)])).
% cnf(6955,negated_conjecture,(frontsegP(app(esk51_0,esk51_0),esk51_0)|$false|$false),inference(rw,[status(thm)],[6954,585,theory(equality)])).
% cnf(6956,negated_conjecture,(frontsegP(app(esk51_0,esk51_0),esk51_0)),inference(cn,[status(thm)],[6955,theory(equality)])).
% cnf(6957,negated_conjecture,(ssList(esk1_2(app(esk51_0,esk51_0),esk51_0))|~ssList(esk51_0)|~ssList(app(esk51_0,esk51_0))),inference(spm,[status(thm)],[162,6956,theory(equality)])).
% cnf(6959,negated_conjecture,(app(esk51_0,esk1_2(app(esk51_0,esk51_0),esk51_0))=app(esk51_0,esk51_0)|~ssList(esk51_0)|~ssList(app(esk51_0,esk51_0))),inference(spm,[status(thm)],[161,6956,theory(equality)])).
% cnf(6964,negated_conjecture,(ssList(esk1_2(app(esk51_0,esk51_0),esk51_0))|$false|~ssList(app(esk51_0,esk51_0))),inference(rw,[status(thm)],[6957,585,theory(equality)])).
% cnf(6965,negated_conjecture,(ssList(esk1_2(app(esk51_0,esk51_0),esk51_0))|$false|$false),inference(rw,[status(thm)],[6964,5893,theory(equality)])).
% cnf(6966,negated_conjecture,(ssList(esk1_2(app(esk51_0,esk51_0),esk51_0))),inference(cn,[status(thm)],[6965,theory(equality)])).
% cnf(6970,negated_conjecture,(app(esk51_0,esk1_2(app(esk51_0,esk51_0),esk51_0))=app(esk51_0,esk51_0)|$false|~ssList(app(esk51_0,esk51_0))),inference(rw,[status(thm)],[6959,585,theory(equality)])).
% cnf(6971,negated_conjecture,(app(esk51_0,esk1_2(app(esk51_0,esk51_0),esk51_0))=app(esk51_0,esk51_0)|$false|$false),inference(rw,[status(thm)],[6970,5893,theory(equality)])).
% cnf(6972,negated_conjecture,(app(esk51_0,esk1_2(app(esk51_0,esk51_0),esk51_0))=app(esk51_0,esk51_0)),inference(cn,[status(thm)],[6971,theory(equality)])).
% cnf(7136,negated_conjecture,(nil=esk51_0|app(esk51_0,esk51_0)!=nil|~ssList(esk1_2(app(esk51_0,esk51_0),esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[181,6972,theory(equality)])).
% cnf(7138,negated_conjecture,(hd(app(esk51_0,esk51_0))=hd(esk51_0)|nil=esk51_0|~ssList(esk1_2(app(esk51_0,esk51_0),esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[291,6972,theory(equality)])).
% cnf(7182,negated_conjecture,(nil=esk51_0|app(esk51_0,esk51_0)!=nil|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[7136,6966,theory(equality)])).
% cnf(7183,negated_conjecture,(nil=esk51_0|app(esk51_0,esk51_0)!=nil|$false|$false),inference(rw,[status(thm)],[7182,585,theory(equality)])).
% cnf(7184,negated_conjecture,(nil=esk51_0|app(esk51_0,esk51_0)!=nil),inference(cn,[status(thm)],[7183,theory(equality)])).
% cnf(7189,negated_conjecture,(hd(app(esk51_0,esk51_0))=hd(esk51_0)|nil=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[7138,6966,theory(equality)])).
% cnf(7190,negated_conjecture,(hd(app(esk51_0,esk51_0))=hd(esk51_0)|nil=esk51_0|$false|$false),inference(rw,[status(thm)],[7189,585,theory(equality)])).
% cnf(7191,negated_conjecture,(hd(app(esk51_0,esk51_0))=hd(esk51_0)|nil=esk51_0),inference(cn,[status(thm)],[7190,theory(equality)])).
% cnf(7378,negated_conjecture,(nil=app(esk51_0,esk51_0)|ssItem(hd(esk51_0))|esk51_0=nil|~ssList(app(esk51_0,esk51_0))),inference(spm,[status(thm)],[252,7191,theory(equality)])).
% cnf(7384,negated_conjecture,(nil=app(esk51_0,esk51_0)|ssItem(hd(esk51_0))|esk51_0=nil|$false),inference(rw,[status(thm)],[7378,5893,theory(equality)])).
% cnf(7385,negated_conjecture,(nil=app(esk51_0,esk51_0)|ssItem(hd(esk51_0))|esk51_0=nil),inference(cn,[status(thm)],[7384,theory(equality)])).
% cnf(7684,negated_conjecture,(esk51_0=nil|ssItem(hd(esk51_0))),inference(csr,[status(thm)],[7385,7184])).
% cnf(8414,plain,(app(X1,X2)=nil|nil=X1|ssList(app(tl(X1),X2))|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[836,256])).
% cnf(8415,plain,(nil=X1|ssList(app(tl(X1),X2))|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[8414,181])).
% cnf(8421,negated_conjecture,(nil=esk51_0|ssList(tl(esk51_0))|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[8415,4109,theory(equality)])).
% cnf(8424,negated_conjecture,(nil=esk51_0|ssList(tl(esk51_0))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[8421,110,theory(equality)])).
% cnf(8425,negated_conjecture,(nil=esk51_0|ssList(tl(esk51_0))|$false|$false),inference(rw,[status(thm)],[8424,585,theory(equality)])).
% cnf(8426,negated_conjecture,(nil=esk51_0|ssList(tl(esk51_0))),inference(cn,[status(thm)],[8425,theory(equality)])).
% cnf(20414,plain,(ssList(cons(X1,app(X2,X3)))|~ssItem(X1)|~ssList(X2)|~ssList(X3)),inference(csr,[status(thm)],[953,249])).
% cnf(20468,plain,(ssList(cons(X1,nil))|~ssItem(X1)|~ssList(nil)),inference(spm,[status(thm)],[20414,1440,theory(equality)])).
% cnf(20586,plain,(ssList(cons(X1,nil))|~ssItem(X1)|$false),inference(rw,[status(thm)],[20468,110,theory(equality)])).
% cnf(20587,plain,(ssList(cons(X1,nil))|~ssItem(X1)),inference(cn,[status(thm)],[20586,theory(equality)])).
% cnf(164514,negated_conjecture,(esk51_0=nil|frontsegP(X1,cons(hd(esk51_0),nil))|esk51_0!=X1|~ssItem(hd(esk51_0))|~ssList(cons(hd(esk51_0),nil))|~ssList(X1)),inference(csr,[status(thm)],[5478,8426])).
% cnf(164515,negated_conjecture,(esk51_0=nil|frontsegP(X1,cons(hd(esk51_0),nil))|esk51_0!=X1|~ssItem(hd(esk51_0))|~ssList(X1)),inference(csr,[status(thm)],[164514,20587])).
% cnf(164516,negated_conjecture,(esk51_0=nil|frontsegP(X1,cons(hd(esk51_0),nil))|esk51_0!=X1|~ssList(X1)),inference(csr,[status(thm)],[164515,7684])).
% cnf(164517,negated_conjecture,(esk51_0=nil|frontsegP(esk51_0,cons(hd(esk51_0),nil))|~ssList(esk51_0)),inference(er,[status(thm)],[164516,theory(equality)])).
% cnf(164518,negated_conjecture,(esk51_0=nil|frontsegP(esk51_0,cons(hd(esk51_0),nil))|$false),inference(rw,[status(thm)],[164517,585,theory(equality)])).
% cnf(164519,negated_conjecture,(esk51_0=nil|frontsegP(esk51_0,cons(hd(esk51_0),nil))),inference(cn,[status(thm)],[164518,theory(equality)])).
% cnf(164532,negated_conjecture,(esk51_0=nil|~strictorderedP(cons(hd(esk51_0),nil))|~neq(nil,cons(hd(esk51_0),nil))|~ssList(cons(hd(esk51_0),nil))),inference(spm,[status(thm)],[1719,164519,theory(equality)])).
% cnf(244802,negated_conjecture,(esk51_0=nil|~neq(nil,cons(hd(esk51_0),nil))|~ssList(cons(hd(esk51_0),nil))|~ssItem(hd(esk51_0))),inference(spm,[status(thm)],[164532,217,theory(equality)])).
% cnf(244803,negated_conjecture,(esk51_0=nil|~neq(nil,cons(hd(esk51_0),nil))|~ssList(cons(hd(esk51_0),nil))),inference(csr,[status(thm)],[244802,7684])).
% cnf(244804,negated_conjecture,(esk51_0=nil|~neq(nil,cons(hd(esk51_0),nil))|~ssItem(hd(esk51_0))|~ssList(nil)),inference(spm,[status(thm)],[244803,249,theory(equality)])).
% cnf(244806,negated_conjecture,(esk51_0=nil|~neq(nil,cons(hd(esk51_0),nil))|~ssItem(hd(esk51_0))|$false),inference(rw,[status(thm)],[244804,110,theory(equality)])).
% cnf(244807,negated_conjecture,(esk51_0=nil|~neq(nil,cons(hd(esk51_0),nil))|~ssItem(hd(esk51_0))),inference(cn,[status(thm)],[244806,theory(equality)])).
% cnf(244808,negated_conjecture,(esk51_0=nil|~neq(nil,cons(hd(esk51_0),nil))),inference(csr,[status(thm)],[244807,7684])).
% cnf(244809,negated_conjecture,(esk51_0=nil|nil=cons(hd(esk51_0),nil)|~ssList(cons(hd(esk51_0),nil))|~ssList(nil)),inference(spm,[status(thm)],[244808,108,theory(equality)])).
% cnf(244811,negated_conjecture,(esk51_0=nil|nil=cons(hd(esk51_0),nil)|~ssList(cons(hd(esk51_0),nil))|$false),inference(rw,[status(thm)],[244809,110,theory(equality)])).
% cnf(244812,negated_conjecture,(esk51_0=nil|nil=cons(hd(esk51_0),nil)|~ssList(cons(hd(esk51_0),nil))),inference(cn,[status(thm)],[244811,theory(equality)])).
% cnf(244813,negated_conjecture,(cons(hd(esk51_0),nil)=nil|esk51_0=nil|~ssItem(hd(esk51_0))|~ssList(nil)),inference(spm,[status(thm)],[244812,249,theory(equality)])).
% cnf(244815,negated_conjecture,(cons(hd(esk51_0),nil)=nil|esk51_0=nil|~ssItem(hd(esk51_0))|$false),inference(rw,[status(thm)],[244813,110,theory(equality)])).
% cnf(244816,negated_conjecture,(cons(hd(esk51_0),nil)=nil|esk51_0=nil|~ssItem(hd(esk51_0))),inference(cn,[status(thm)],[244815,theory(equality)])).
% cnf(244817,negated_conjecture,(cons(hd(esk51_0),nil)=nil|esk51_0=nil),inference(csr,[status(thm)],[244816,7684])).
% cnf(244821,negated_conjecture,(esk51_0=nil|~ssItem(hd(esk51_0))|~ssList(nil)),inference(spm,[status(thm)],[228,244817,theory(equality)])).
% cnf(245147,negated_conjecture,(esk51_0=nil|~ssItem(hd(esk51_0))|$false),inference(rw,[status(thm)],[244821,110,theory(equality)])).
% cnf(245148,negated_conjecture,(esk51_0=nil|~ssItem(hd(esk51_0))),inference(cn,[status(thm)],[245147,theory(equality)])).
% cnf(245746,negated_conjecture,(esk51_0=nil),inference(csr,[status(thm)],[245148,7684])).
% cnf(248459,negated_conjecture,(neq(nil,nil)),inference(rw,[status(thm)],[588,245746,theory(equality)])).
% cnf(248460,negated_conjecture,($false),inference(sr,[status(thm)],[248459,1328,theory(equality)])).
% cnf(248461,negated_conjecture,($false),248460,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 13450
% # ...of these trivial                : 61
% # ...subsumed                        : 10511
% # ...remaining for further processing: 2878
% # Other redundant clauses eliminated : 1085
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 117
% # Backward-rewritten                 : 1846
% # Generated clauses                  : 97833
% # ...of the previous two non-trivial : 85071
% # Contextual simplify-reflections    : 7803
% # Paramodulations                    : 96437
% # Factorizations                     : 0
% # Equation resolutions               : 1396
% # Current number of processed clauses: 909
% #    Positive orientable unit clauses: 21
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 3
% #    Non-unit-clauses                : 885
% # Current number of unprocessed clauses: 19818
% # ...number of literals in the above : 170807
% # Clause-clause subsumption calls (NU) : 258468
% # Rec. Clause-clause subsumption calls : 133530
% # Unit Clause-clause subsumption calls : 2620
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 89
% # Indexed BW rewrite successes       : 57
% # Backwards rewriting index:   723 leaves,   1.62+/-1.467 terms/leaf
% # Paramod-from index:          271 leaves,   1.03+/-0.159 terms/leaf
% # Paramod-into index:          464 leaves,   1.48+/-1.361 terms/leaf
% # -------------------------------------------------
% # User time              : 5.244 s
% # System time            : 0.172 s
% # Total time             : 5.416 s
% # Maximum resident set size: 0 pages
% PrfWatch: 9.06 CPU 9.23 WC
% FINAL PrfWatch: 9.06 CPU 9.23 WC
% SZS output end Solution for /tmp/SystemOnTPTP26232/SWC214+1.tptp
% 
%------------------------------------------------------------------------------