TSTP Solution File: SWC091+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC091+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 : art02.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 07:02:18 EST 2010
% Result : Theorem 2.44s
% Output : Solution 2.44s
% 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/SystemOnTPTP16988/SWC091+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP16988/SWC091+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP16988/SWC091+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 17084
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.031 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # 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(6, axiom,![X1]:(ssList(X1)=>frontsegP(X1,nil)),file('/tmp/SRASS.s.p', ax45)).
% fof(7, axiom,![X1]:(ssList(X1)=>(frontsegP(nil,X1)<=>nil=X1)),file('/tmp/SRASS.s.p', ax46)).
% fof(10, axiom,![X1]:(ssList(X1)=>segmentP(X1,X1)),file('/tmp/SRASS.s.p', ax55)).
% 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(21, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(ssList(X4)=>(segmentP(X1,X2)=>segmentP(app(app(X3,X1),X4),X2)))))),file('/tmp/SRASS.s.p', ax56)).
% fof(22, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>ssList(tl(X1)))),file('/tmp/SRASS.s.p', ax24)).
% fof(26, axiom,![X1]:(ssItem(X1)=>totalorderedP(cons(X1,nil))),file('/tmp/SRASS.s.p', ax65)).
% fof(28, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>~(nil=cons(X2,X1)))),file('/tmp/SRASS.s.p', ax21)).
% fof(29, 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(30, 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(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(43, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(~(nil=X1)=>hd(app(X1,X2))=hd(X1)))),file('/tmp/SRASS.s.p', ax85)).
% fof(44, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(~(nil=X1)=>tl(app(X1,X2))=app(tl(X1),X2)))),file('/tmp/SRASS.s.p', ax86)).
% fof(52, 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(69, 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(77, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(rearsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X3,X2)=X1)))),file('/tmp/SRASS.s.p', ax6)).
% fof(78, 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)))|~(totalorderedP(X3)))|?[X5]:(((ssList(X5)&neq(X5,nil))&segmentP(X2,X5))&segmentP(X1,X5)))|?[X6]:((((ssList(X6)&neq(X3,X6))&frontsegP(X4,X6))&segmentP(X6,X3))&totalorderedP(X6))))))),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)))|~(totalorderedP(X3)))|?[X5]:(((ssList(X5)&neq(X5,nil))&segmentP(X2,X5))&segmentP(X1,X5)))|?[X6]:((((ssList(X6)&neq(X3,X6))&frontsegP(X4,X6))&segmentP(X6,X3))&totalorderedP(X6)))))))),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)))|~(totalorderedP(X3)))|?[X5]:(((ssList(X5)&neq(X5,nil))&segmentP(X2,X5))&segmentP(X1,X5)))|?[X6]:((((ssList(X6)&neq(X3,X6))&frontsegP(X4,X6))&segmentP(X6,X3))&totalorderedP(X6)))))))),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(122, plain,![X1]:(~(ssList(X1))|frontsegP(X1,nil)),inference(fof_nnf,[status(thm)],[6])).
% fof(123, plain,![X2]:(~(ssList(X2))|frontsegP(X2,nil)),inference(variable_rename,[status(thm)],[122])).
% cnf(124,plain,(frontsegP(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[123])).
% 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(138, plain,![X1]:(~(ssList(X1))|segmentP(X1,X1)),inference(fof_nnf,[status(thm)],[10])).
% fof(139, plain,![X2]:(~(ssList(X2))|segmentP(X2,X2)),inference(variable_rename,[status(thm)],[138])).
% cnf(140,plain,(segmentP(X1,X1)|~ssList(X1)),inference(split_conjunct,[status(thm)],[139])).
% 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(190, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|(~(segmentP(X1,X2))|segmentP(app(app(X3,X1),X4),X2)))))),inference(fof_nnf,[status(thm)],[21])).
% fof(191, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|![X7]:(~(ssList(X7))|![X8]:(~(ssList(X8))|(~(segmentP(X5,X6))|segmentP(app(app(X7,X5),X8),X6)))))),inference(variable_rename,[status(thm)],[190])).
% fof(192, plain,![X5]:![X6]:![X7]:![X8]:((((~(ssList(X8))|(~(segmentP(X5,X6))|segmentP(app(app(X7,X5),X8),X6)))|~(ssList(X7)))|~(ssList(X6)))|~(ssList(X5))),inference(shift_quantors,[status(thm)],[191])).
% cnf(193,plain,(segmentP(app(app(X3,X1),X4),X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~segmentP(X1,X2)|~ssList(X4)),inference(split_conjunct,[status(thm)],[192])).
% 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))|totalorderedP(cons(X1,nil))),inference(fof_nnf,[status(thm)],[26])).
% fof(216, plain,![X2]:(~(ssItem(X2))|totalorderedP(cons(X2,nil))),inference(variable_rename,[status(thm)],[215])).
% cnf(217,plain,(totalorderedP(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(229, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X3,X2)=app(X1,X2))|X3=X1)))),inference(fof_nnf,[status(thm)],[29])).
% fof(230, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X6,X5)=app(X4,X5))|X6=X4)))),inference(variable_rename,[status(thm)],[229])).
% fof(231, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X6,X5)=app(X4,X5))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[230])).
% cnf(232,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X3,X2)!=app(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[231])).
% fof(233, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X2,X3)=app(X2,X1))|X3=X1)))),inference(fof_nnf,[status(thm)],[30])).
% fof(234, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4)))),inference(variable_rename,[status(thm)],[233])).
% fof(235, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[234])).
% cnf(236,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X2,X3)!=app(X2,X1)|~ssList(X3)),inference(split_conjunct,[status(thm)],[235])).
% 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(271, plain,![X1]:(~(ssList(X1))|rearsegP(X1,nil)),inference(fof_nnf,[status(thm)],[40])).
% fof(272, plain,![X2]:(~(ssList(X2))|rearsegP(X2,nil)),inference(variable_rename,[status(thm)],[271])).
% cnf(273,plain,(rearsegP(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[272])).
% fof(284, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|(nil=X1|hd(app(X1,X2))=hd(X1)))),inference(fof_nnf,[status(thm)],[43])).
% fof(285, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|(nil=X3|hd(app(X3,X4))=hd(X3)))),inference(variable_rename,[status(thm)],[284])).
% fof(286, plain,![X3]:![X4]:((~(ssList(X4))|(nil=X3|hd(app(X3,X4))=hd(X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[285])).
% cnf(287,plain,(hd(app(X1,X2))=hd(X1)|nil=X1|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[286])).
% fof(288, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|(nil=X1|tl(app(X1,X2))=app(tl(X1),X2)))),inference(fof_nnf,[status(thm)],[44])).
% fof(289, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|(nil=X3|tl(app(X3,X4))=app(tl(X3),X4)))),inference(variable_rename,[status(thm)],[288])).
% fof(290, plain,![X3]:![X4]:((~(ssList(X4))|(nil=X3|tl(app(X3,X4))=app(tl(X3),X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[289])).
% cnf(291,plain,(tl(app(X1,X2))=app(tl(X1),X2)|nil=X1|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[290])).
% fof(337, 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)],[52])).
% fof(338, 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)],[337])).
% fof(339, 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)],[338])).
% cnf(340,plain,(cons(X3,app(X2,X1))=app(cons(X3,X2),X1)|~ssList(X1)|~ssList(X2)|~ssItem(X3)),inference(split_conjunct,[status(thm)],[339])).
% fof(391, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(rearsegP(X1,X2))|rearsegP(app(X3,X1),X2))))),inference(fof_nnf,[status(thm)],[69])).
% fof(392, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5))))),inference(variable_rename,[status(thm)],[391])).
% fof(393, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[392])).
% cnf(394,plain,(rearsegP(app(X3,X1),X2)|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[393])).
% fof(417, 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)],[77])).
% fof(418, 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)],[417])).
% fof(419, 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)],[418])).
% fof(420, 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)],[419])).
% fof(421, 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)],[420])).
% cnf(422,plain,(app(esk16_2(X1,X2),X2)=X1|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[421])).
% cnf(423,plain,(ssList(esk16_2(X1,X2))|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[421])).
% cnf(424,plain,(rearsegP(X1,X2)|~ssList(X1)|~ssList(X2)|app(X3,X2)!=X1|~ssList(X3)),inference(split_conjunct,[status(thm)],[421])).
% fof(425, plain,![X1]:(~(ssList(X1))|(nil=X1|cons(hd(X1),tl(X1))=X1)),inference(fof_nnf,[status(thm)],[78])).
% fof(426, plain,![X2]:(~(ssList(X2))|(nil=X2|cons(hd(X2),tl(X2))=X2)),inference(variable_rename,[status(thm)],[425])).
% cnf(427,plain,(cons(hd(X1),tl(X1))=X1|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[426])).
% 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))&totalorderedP(X3))&![X5]:(((~(ssList(X5))|~(neq(X5,nil)))|~(segmentP(X2,X5)))|~(segmentP(X1,X5))))&![X6]:((((~(ssList(X6))|~(neq(X3,X6)))|~(frontsegP(X4,X6)))|~(segmentP(X6,X3)))|~(totalorderedP(X6)))))))),inference(fof_nnf,[status(thm)],[103])).
% fof(569, negated_conjecture,?[X7]:(ssList(X7)&?[X8]:(ssList(X8)&?[X9]:(ssList(X9)&?[X10]:(ssList(X10)&((((((X8=X10&X7=X9)&neq(X8,nil))&frontsegP(X10,X9))&totalorderedP(X9))&![X11]:(((~(ssList(X11))|~(neq(X11,nil)))|~(segmentP(X8,X11)))|~(segmentP(X7,X11))))&![X12]:((((~(ssList(X12))|~(neq(X9,X12)))|~(frontsegP(X10,X12)))|~(segmentP(X12,X9)))|~(totalorderedP(X12)))))))),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))&totalorderedP(esk50_0))&![X11]:(((~(ssList(X11))|~(neq(X11,nil)))|~(segmentP(esk49_0,X11)))|~(segmentP(esk48_0,X11))))&![X12]:((((~(ssList(X12))|~(neq(esk50_0,X12)))|~(frontsegP(esk51_0,X12)))|~(segmentP(X12,esk50_0)))|~(totalorderedP(X12)))))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,![X11]:![X12]:(((((((((~(ssList(X12))|~(neq(esk50_0,X12)))|~(frontsegP(esk51_0,X12)))|~(segmentP(X12,esk50_0)))|~(totalorderedP(X12)))&((((~(ssList(X11))|~(neq(X11,nil)))|~(segmentP(esk49_0,X11)))|~(segmentP(esk48_0,X11)))&((((esk49_0=esk51_0&esk48_0=esk50_0)&neq(esk49_0,nil))&frontsegP(esk51_0,esk50_0))&totalorderedP(esk50_0))))&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(577,negated_conjecture,(frontsegP(esk51_0,esk50_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(578,negated_conjecture,(neq(esk49_0,nil)),inference(split_conjunct,[status(thm)],[571])).
% cnf(579,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(580,negated_conjecture,(esk49_0=esk51_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(581,negated_conjecture,(~segmentP(esk48_0,X1)|~segmentP(esk49_0,X1)|~neq(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[571])).
% cnf(582,negated_conjecture,(~totalorderedP(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,(ssList(esk50_0)),inference(rw,[status(thm)],[572,579,theory(equality)])).
% cnf(584,negated_conjecture,(ssList(esk51_0)),inference(rw,[status(thm)],[573,580,theory(equality)])).
% cnf(587,negated_conjecture,(neq(esk51_0,nil)),inference(rw,[status(thm)],[578,580,theory(equality)])).
% cnf(588,plain,(frontsegP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[128,theory(equality)])).
% cnf(589,plain,(frontsegP(nil,nil)|$false),inference(rw,[status(thm)],[588,110,theory(equality)])).
% cnf(590,plain,(frontsegP(nil,nil)),inference(cn,[status(thm)],[589,theory(equality)])).
% cnf(594,negated_conjecture,(~ssList(X1)|~neq(X1,nil)|~segmentP(esk50_0,X1)|~segmentP(esk49_0,X1)),inference(rw,[status(thm)],[581,579,theory(equality)])).
% cnf(595,negated_conjecture,(~ssList(X1)|~neq(X1,nil)|~segmentP(esk50_0,X1)|~segmentP(esk51_0,X1)),inference(rw,[status(thm)],[594,580,theory(equality)])).
% cnf(596,negated_conjecture,(~segmentP(esk51_0,nil)|~neq(nil,nil)|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[595,143,theory(equality)])).
% cnf(597,negated_conjecture,(~segmentP(esk51_0,esk50_0)|~neq(esk50_0,nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[595,140,theory(equality)])).
% cnf(598,negated_conjecture,(~segmentP(esk51_0,nil)|~neq(nil,nil)|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[596,110,theory(equality)])).
% cnf(599,negated_conjecture,(~segmentP(esk51_0,nil)|~neq(nil,nil)|$false|$false),inference(rw,[status(thm)],[598,583,theory(equality)])).
% cnf(600,negated_conjecture,(~segmentP(esk51_0,nil)|~neq(nil,nil)),inference(cn,[status(thm)],[599,theory(equality)])).
% cnf(601,negated_conjecture,(~segmentP(esk51_0,esk50_0)|~neq(esk50_0,nil)|$false),inference(rw,[status(thm)],[597,583,theory(equality)])).
% cnf(602,negated_conjecture,(~segmentP(esk51_0,esk50_0)|~neq(esk50_0,nil)),inference(cn,[status(thm)],[601,theory(equality)])).
% cnf(635,negated_conjecture,(ssList(esk1_2(esk51_0,esk50_0))|~ssList(esk50_0)|~ssList(esk51_0)),inference(spm,[status(thm)],[162,577,theory(equality)])).
% cnf(638,negated_conjecture,(ssList(esk1_2(esk51_0,esk50_0))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[635,583,theory(equality)])).
% cnf(639,negated_conjecture,(ssList(esk1_2(esk51_0,esk50_0))|$false|$false),inference(rw,[status(thm)],[638,584,theory(equality)])).
% cnf(640,negated_conjecture,(ssList(esk1_2(esk51_0,esk50_0))),inference(cn,[status(thm)],[639,theory(equality)])).
% cnf(701,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)|~ssList(app(X1,X2))),inference(er,[status(thm)],[163,theory(equality)])).
% cnf(736,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[189,124,theory(equality)])).
% cnf(741,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|$false|~ssList(X1)),inference(rw,[status(thm)],[736,110,theory(equality)])).
% cnf(742,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[741,theory(equality)])).
% cnf(748,plain,(rearsegP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)|~ssList(app(X1,X2))),inference(er,[status(thm)],[424,theory(equality)])).
% cnf(787,negated_conjecture,(app(esk50_0,esk1_2(esk51_0,esk50_0))=esk51_0|~ssList(esk50_0)|~ssList(esk51_0)),inference(spm,[status(thm)],[161,577,theory(equality)])).
% cnf(790,negated_conjecture,(app(esk50_0,esk1_2(esk51_0,esk50_0))=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[787,583,theory(equality)])).
% cnf(791,negated_conjecture,(app(esk50_0,esk1_2(esk51_0,esk50_0))=esk51_0|$false|$false),inference(rw,[status(thm)],[790,584,theory(equality)])).
% cnf(792,negated_conjecture,(app(esk50_0,esk1_2(esk51_0,esk50_0))=esk51_0),inference(cn,[status(thm)],[791,theory(equality)])).
% cnf(808,plain,(segmentP(X1,X2)|app(X2,X3)!=X1|~ssList(X3)|~ssList(nil)|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[172,175,theory(equality)])).
% cnf(811,plain,(segmentP(X1,X2)|app(X2,X3)!=X1|~ssList(X3)|$false|~ssList(X2)|~ssList(X1)),inference(rw,[status(thm)],[808,110,theory(equality)])).
% cnf(812,plain,(segmentP(X1,X2)|app(X2,X3)!=X1|~ssList(X3)|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[811,theory(equality)])).
% cnf(821,plain,(rearsegP(app(X1,X2),nil)|~ssList(X1)|~ssList(nil)|~ssList(X2)),inference(spm,[status(thm)],[394,273,theory(equality)])).
% cnf(823,plain,(rearsegP(app(X1,X2),nil)|~ssList(X1)|$false|~ssList(X2)),inference(rw,[status(thm)],[821,110,theory(equality)])).
% cnf(824,plain,(rearsegP(app(X1,X2),nil)|~ssList(X1)|~ssList(X2)),inference(cn,[status(thm)],[823,theory(equality)])).
% cnf(840,plain,(nil=app(X1,X2)|ssList(app(tl(X1),X2))|nil=X1|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[196,291,theory(equality)])).
% cnf(841,plain,(cons(hd(app(X1,X2)),app(tl(X1),X2))=app(X1,X2)|nil=app(X1,X2)|nil=X1|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[427,291,theory(equality)])).
% cnf(892,plain,(segmentP(app(app(X1,X2),X3),X2)|~ssList(X3)|~ssList(X1)|~ssList(X2)),inference(spm,[status(thm)],[193,140,theory(equality)])).
% cnf(921,plain,(app(X1,app(X2,nil))=app(X1,X2)|~ssList(app(X1,X2))|~ssList(nil)|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[185,240,theory(equality)])).
% cnf(923,plain,(ssList(app(X1,app(X2,X3)))|~ssList(X3)|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[256,240,theory(equality)])).
% cnf(937,plain,(app(X1,X2)=app(nil,app(X1,X2))|~ssList(X2)|~ssList(X1)|~ssList(nil)),inference(spm,[status(thm)],[240,175,theory(equality)])).
% cnf(939,plain,(app(X1,app(X2,nil))=app(X1,X2)|~ssList(app(X1,X2))|$false|~ssList(X2)|~ssList(X1)),inference(rw,[status(thm)],[921,110,theory(equality)])).
% cnf(940,plain,(app(X1,app(X2,nil))=app(X1,X2)|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[939,theory(equality)])).
% cnf(941,plain,(app(X1,X2)=app(nil,app(X1,X2))|~ssList(X2)|~ssList(X1)|$false),inference(rw,[status(thm)],[937,110,theory(equality)])).
% cnf(942,plain,(app(X1,X2)=app(nil,app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[941,theory(equality)])).
% cnf(960,plain,(frontsegP(X1,cons(X2,X3))|cons(X2,app(X3,X4))!=X1|~ssList(X4)|~ssList(cons(X2,X3))|~ssList(X1)|~ssItem(X2)|~ssList(X3)),inference(spm,[status(thm)],[163,340,theory(equality)])).
% cnf(979,plain,(app(app(esk2_2(X1,nil),nil),esk3_2(X1,nil))=X1|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[169,143,theory(equality)])).
% cnf(981,plain,(app(app(esk2_2(X1,nil),nil),esk3_2(X1,nil))=X1|$false|~ssList(X1)),inference(rw,[status(thm)],[979,110,theory(equality)])).
% cnf(982,plain,(app(app(esk2_2(X1,nil),nil),esk3_2(X1,nil))=X1|~ssList(X1)),inference(cn,[status(thm)],[981,theory(equality)])).
% cnf(1329,plain,(ssList(esk1_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[162,590,theory(equality)])).
% cnf(1330,plain,(app(nil,esk1_2(nil,nil))=nil|~ssList(nil)),inference(spm,[status(thm)],[161,590,theory(equality)])).
% cnf(1333,plain,(ssList(esk1_2(nil,nil))|$false),inference(rw,[status(thm)],[1329,110,theory(equality)])).
% cnf(1334,plain,(ssList(esk1_2(nil,nil))),inference(cn,[status(thm)],[1333,theory(equality)])).
% cnf(1335,plain,(app(nil,esk1_2(nil,nil))=nil|$false),inference(rw,[status(thm)],[1330,110,theory(equality)])).
% cnf(1336,plain,(app(nil,esk1_2(nil,nil))=nil),inference(cn,[status(thm)],[1335,theory(equality)])).
% cnf(1356,negated_conjecture,(~neq(nil,nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[600,143,theory(equality)])).
% cnf(1357,negated_conjecture,(~neq(nil,nil)|$false),inference(rw,[status(thm)],[1356,584,theory(equality)])).
% cnf(1358,negated_conjecture,(~neq(nil,nil)),inference(cn,[status(thm)],[1357,theory(equality)])).
% cnf(1435,plain,(nil=esk1_2(nil,nil)|~ssList(esk1_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[182,1336,theory(equality)])).
% cnf(1462,plain,(nil=esk1_2(nil,nil)|$false|~ssList(nil)),inference(rw,[status(thm)],[1435,1334,theory(equality)])).
% cnf(1463,plain,(nil=esk1_2(nil,nil)|$false|$false),inference(rw,[status(thm)],[1462,110,theory(equality)])).
% cnf(1464,plain,(nil=esk1_2(nil,nil)),inference(cn,[status(thm)],[1463,theory(equality)])).
% cnf(1476,plain,(app(nil,nil)=nil),inference(rw,[status(thm)],[1336,1464,theory(equality)])).
% cnf(2149,negated_conjecture,(frontsegP(esk51_0,nil)|~ssList(esk1_2(esk51_0,esk50_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[742,792,theory(equality)])).
% cnf(2174,negated_conjecture,(frontsegP(esk51_0,nil)|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[2149,640,theory(equality)])).
% cnf(2175,negated_conjecture,(frontsegP(esk51_0,nil)|$false|$false),inference(rw,[status(thm)],[2174,583,theory(equality)])).
% cnf(2176,negated_conjecture,(frontsegP(esk51_0,nil)),inference(cn,[status(thm)],[2175,theory(equality)])).
% cnf(2186,negated_conjecture,(ssList(esk1_2(esk51_0,nil))|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[162,2176,theory(equality)])).
% cnf(2188,negated_conjecture,(app(nil,esk1_2(esk51_0,nil))=esk51_0|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[161,2176,theory(equality)])).
% cnf(2191,negated_conjecture,(ssList(esk1_2(esk51_0,nil))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[2186,110,theory(equality)])).
% cnf(2192,negated_conjecture,(ssList(esk1_2(esk51_0,nil))|$false|$false),inference(rw,[status(thm)],[2191,584,theory(equality)])).
% cnf(2193,negated_conjecture,(ssList(esk1_2(esk51_0,nil))),inference(cn,[status(thm)],[2192,theory(equality)])).
% cnf(2197,negated_conjecture,(app(nil,esk1_2(esk51_0,nil))=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[2188,110,theory(equality)])).
% cnf(2198,negated_conjecture,(app(nil,esk1_2(esk51_0,nil))=esk51_0|$false|$false),inference(rw,[status(thm)],[2197,584,theory(equality)])).
% cnf(2199,negated_conjecture,(app(nil,esk1_2(esk51_0,nil))=esk51_0),inference(cn,[status(thm)],[2198,theory(equality)])).
% cnf(2219,negated_conjecture,(esk51_0=esk1_2(esk51_0,nil)|~ssList(esk1_2(esk51_0,nil))),inference(spm,[status(thm)],[175,2199,theory(equality)])).
% cnf(2263,negated_conjecture,(esk51_0=esk1_2(esk51_0,nil)|$false),inference(rw,[status(thm)],[2219,2193,theory(equality)])).
% cnf(2264,negated_conjecture,(esk51_0=esk1_2(esk51_0,nil)),inference(cn,[status(thm)],[2263,theory(equality)])).
% cnf(2271,negated_conjecture,(app(nil,esk51_0)=esk51_0),inference(rw,[status(thm)],[2199,2264,theory(equality)])).
% cnf(2282,negated_conjecture,(X1=esk51_0|app(nil,X1)!=esk51_0|~ssList(esk51_0)|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[236,2271,theory(equality)])).
% cnf(2283,negated_conjecture,(segmentP(X1,esk51_0)|app(esk51_0,X2)!=X1|~ssList(X2)|~ssList(nil)|~ssList(esk51_0)|~ssList(X1)),inference(spm,[status(thm)],[172,2271,theory(equality)])).
% cnf(2311,negated_conjecture,(X1=esk51_0|app(nil,X1)!=esk51_0|$false|~ssList(nil)|~ssList(X1)),inference(rw,[status(thm)],[2282,584,theory(equality)])).
% cnf(2312,negated_conjecture,(X1=esk51_0|app(nil,X1)!=esk51_0|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[2311,110,theory(equality)])).
% cnf(2313,negated_conjecture,(X1=esk51_0|app(nil,X1)!=esk51_0|~ssList(X1)),inference(cn,[status(thm)],[2312,theory(equality)])).
% cnf(2314,negated_conjecture,(segmentP(X1,esk51_0)|app(esk51_0,X2)!=X1|~ssList(X2)|$false|~ssList(esk51_0)|~ssList(X1)),inference(rw,[status(thm)],[2283,110,theory(equality)])).
% cnf(2315,negated_conjecture,(segmentP(X1,esk51_0)|app(esk51_0,X2)!=X1|~ssList(X2)|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[2314,584,theory(equality)])).
% cnf(2316,negated_conjecture,(segmentP(X1,esk51_0)|app(esk51_0,X2)!=X1|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[2315,theory(equality)])).
% cnf(2530,negated_conjecture,(segmentP(X1,esk51_0)|esk51_0!=X1|~ssList(nil)|~ssList(X1)|~ssList(esk51_0)),inference(spm,[status(thm)],[2316,185,theory(equality)])).
% cnf(2531,negated_conjecture,(segmentP(X1,esk51_0)|esk51_0!=X1|$false|~ssList(X1)|~ssList(esk51_0)),inference(rw,[status(thm)],[2530,110,theory(equality)])).
% cnf(2532,negated_conjecture,(segmentP(X1,esk51_0)|esk51_0!=X1|$false|~ssList(X1)|$false),inference(rw,[status(thm)],[2531,584,theory(equality)])).
% cnf(2533,negated_conjecture,(segmentP(X1,esk51_0)|esk51_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[2532,theory(equality)])).
% cnf(2535,negated_conjecture,(segmentP(esk51_0,esk51_0)|~ssList(esk51_0)),inference(er,[status(thm)],[2533,theory(equality)])).
% cnf(2536,negated_conjecture,(segmentP(esk51_0,esk51_0)|$false),inference(rw,[status(thm)],[2535,584,theory(equality)])).
% cnf(2537,negated_conjecture,(segmentP(esk51_0,esk51_0)),inference(cn,[status(thm)],[2536,theory(equality)])).
% cnf(2538,negated_conjecture,(ssList(esk2_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[171,2537,theory(equality)])).
% cnf(2539,negated_conjecture,(ssList(esk3_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[170,2537,theory(equality)])).
% cnf(2540,negated_conjecture,(app(app(esk2_2(esk51_0,esk51_0),esk51_0),esk3_2(esk51_0,esk51_0))=esk51_0|~ssList(esk51_0)),inference(spm,[status(thm)],[169,2537,theory(equality)])).
% cnf(2543,negated_conjecture,(ssList(esk2_2(esk51_0,esk51_0))|$false),inference(rw,[status(thm)],[2538,584,theory(equality)])).
% cnf(2544,negated_conjecture,(ssList(esk2_2(esk51_0,esk51_0))),inference(cn,[status(thm)],[2543,theory(equality)])).
% cnf(2545,negated_conjecture,(ssList(esk3_2(esk51_0,esk51_0))|$false),inference(rw,[status(thm)],[2539,584,theory(equality)])).
% cnf(2546,negated_conjecture,(ssList(esk3_2(esk51_0,esk51_0))),inference(cn,[status(thm)],[2545,theory(equality)])).
% cnf(2547,negated_conjecture,(app(app(esk2_2(esk51_0,esk51_0),esk51_0),esk3_2(esk51_0,esk51_0))=esk51_0|$false),inference(rw,[status(thm)],[2540,584,theory(equality)])).
% cnf(2548,negated_conjecture,(app(app(esk2_2(esk51_0,esk51_0),esk51_0),esk3_2(esk51_0,esk51_0))=esk51_0),inference(cn,[status(thm)],[2547,theory(equality)])).
% cnf(2570,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)],[240,2548,theory(equality)])).
% cnf(2608,negated_conjecture,(esk51_0=app(esk2_2(esk51_0,esk51_0),app(esk51_0,esk3_2(esk51_0,esk51_0)))|$false|~ssList(esk51_0)|~ssList(esk2_2(esk51_0,esk51_0))),inference(rw,[status(thm)],[2570,2546,theory(equality)])).
% cnf(2609,negated_conjecture,(esk51_0=app(esk2_2(esk51_0,esk51_0),app(esk51_0,esk3_2(esk51_0,esk51_0)))|$false|$false|~ssList(esk2_2(esk51_0,esk51_0))),inference(rw,[status(thm)],[2608,584,theory(equality)])).
% cnf(2610,negated_conjecture,(esk51_0=app(esk2_2(esk51_0,esk51_0),app(esk51_0,esk3_2(esk51_0,esk51_0)))|$false|$false|$false),inference(rw,[status(thm)],[2609,2544,theory(equality)])).
% cnf(2611,negated_conjecture,(esk51_0=app(esk2_2(esk51_0,esk51_0),app(esk51_0,esk3_2(esk51_0,esk51_0)))),inference(cn,[status(thm)],[2610,theory(equality)])).
% cnf(2873,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)],[163,2611,theory(equality)])).
% cnf(2899,negated_conjecture,(frontsegP(X1,esk2_2(esk51_0,esk51_0))|esk51_0!=X1|~ssList(app(esk51_0,esk3_2(esk51_0,esk51_0)))|$false|~ssList(X1)),inference(rw,[status(thm)],[2873,2544,theory(equality)])).
% cnf(2900,negated_conjecture,(frontsegP(X1,esk2_2(esk51_0,esk51_0))|esk51_0!=X1|~ssList(app(esk51_0,esk3_2(esk51_0,esk51_0)))|~ssList(X1)),inference(cn,[status(thm)],[2899,theory(equality)])).
% cnf(2989,negated_conjecture,(frontsegP(X1,esk2_2(esk51_0,esk51_0))|esk51_0!=X1|~ssList(X1)|~ssList(esk3_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[2900,256,theory(equality)])).
% cnf(2990,negated_conjecture,(frontsegP(X1,esk2_2(esk51_0,esk51_0))|esk51_0!=X1|~ssList(X1)|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[2989,2546,theory(equality)])).
% cnf(2991,negated_conjecture,(frontsegP(X1,esk2_2(esk51_0,esk51_0))|esk51_0!=X1|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[2990,584,theory(equality)])).
% cnf(2992,negated_conjecture,(frontsegP(X1,esk2_2(esk51_0,esk51_0))|esk51_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[2991,theory(equality)])).
% cnf(2993,negated_conjecture,(frontsegP(esk51_0,esk2_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(er,[status(thm)],[2992,theory(equality)])).
% cnf(2994,negated_conjecture,(frontsegP(esk51_0,esk2_2(esk51_0,esk51_0))|$false),inference(rw,[status(thm)],[2993,584,theory(equality)])).
% cnf(2995,negated_conjecture,(frontsegP(esk51_0,esk2_2(esk51_0,esk51_0))),inference(cn,[status(thm)],[2994,theory(equality)])).
% cnf(2996,negated_conjecture,(ssList(esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))|~ssList(esk2_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[162,2995,theory(equality)])).
% cnf(2998,negated_conjecture,(app(esk2_2(esk51_0,esk51_0),esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))=esk51_0|~ssList(esk2_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[161,2995,theory(equality)])).
% cnf(3001,negated_conjecture,(ssList(esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[2996,2544,theory(equality)])).
% cnf(3002,negated_conjecture,(ssList(esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))|$false|$false),inference(rw,[status(thm)],[3001,584,theory(equality)])).
% cnf(3003,negated_conjecture,(ssList(esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))),inference(cn,[status(thm)],[3002,theory(equality)])).
% cnf(3007,negated_conjecture,(app(esk2_2(esk51_0,esk51_0),esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[2998,2544,theory(equality)])).
% cnf(3008,negated_conjecture,(app(esk2_2(esk51_0,esk51_0),esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))=esk51_0|$false|$false),inference(rw,[status(thm)],[3007,584,theory(equality)])).
% cnf(3009,negated_conjecture,(app(esk2_2(esk51_0,esk51_0),esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))=esk51_0),inference(cn,[status(thm)],[3008,theory(equality)])).
% cnf(3018,negated_conjecture,(hd(esk51_0)=hd(esk2_2(esk51_0,esk51_0))|nil=esk2_2(esk51_0,esk51_0)|~ssList(esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))|~ssList(esk2_2(esk51_0,esk51_0))),inference(spm,[status(thm)],[287,3009,theory(equality)])).
% cnf(3040,negated_conjecture,(hd(esk51_0)=hd(esk2_2(esk51_0,esk51_0))|nil=esk2_2(esk51_0,esk51_0)|$false|~ssList(esk2_2(esk51_0,esk51_0))),inference(rw,[status(thm)],[3018,3003,theory(equality)])).
% cnf(3041,negated_conjecture,(hd(esk51_0)=hd(esk2_2(esk51_0,esk51_0))|nil=esk2_2(esk51_0,esk51_0)|$false|$false),inference(rw,[status(thm)],[3040,2544,theory(equality)])).
% cnf(3042,negated_conjecture,(hd(esk51_0)=hd(esk2_2(esk51_0,esk51_0))|nil=esk2_2(esk51_0,esk51_0)),inference(cn,[status(thm)],[3041,theory(equality)])).
% cnf(3092,negated_conjecture,(nil=esk2_2(esk51_0,esk51_0)|ssItem(hd(esk51_0))|~ssList(esk2_2(esk51_0,esk51_0))),inference(spm,[status(thm)],[252,3042,theory(equality)])).
% cnf(3096,negated_conjecture,(nil=esk2_2(esk51_0,esk51_0)|ssItem(hd(esk51_0))|$false),inference(rw,[status(thm)],[3092,2544,theory(equality)])).
% cnf(3097,negated_conjecture,(nil=esk2_2(esk51_0,esk51_0)|ssItem(hd(esk51_0))),inference(cn,[status(thm)],[3096,theory(equality)])).
% cnf(3105,negated_conjecture,(app(app(nil,esk51_0),esk3_2(esk51_0,esk51_0))=esk51_0|ssItem(hd(esk51_0))),inference(spm,[status(thm)],[2548,3097,theory(equality)])).
% cnf(3118,negated_conjecture,(app(esk51_0,esk3_2(esk51_0,esk51_0))=esk51_0|ssItem(hd(esk51_0))),inference(rw,[status(thm)],[3105,2271,theory(equality)])).
% cnf(3394,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[701,256])).
% cnf(4192,plain,(rearsegP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)),inference(csr,[status(thm)],[748,256])).
% cnf(4209,negated_conjecture,(rearsegP(esk51_0,esk3_2(esk51_0,esk51_0))|~ssList(app(esk2_2(esk51_0,esk51_0),esk51_0))|~ssList(esk3_2(esk51_0,esk51_0))),inference(spm,[status(thm)],[4192,2548,theory(equality)])).
% cnf(4248,negated_conjecture,(rearsegP(esk51_0,esk3_2(esk51_0,esk51_0))|~ssList(app(esk2_2(esk51_0,esk51_0),esk51_0))|$false),inference(rw,[status(thm)],[4209,2546,theory(equality)])).
% cnf(4249,negated_conjecture,(rearsegP(esk51_0,esk3_2(esk51_0,esk51_0))|~ssList(app(esk2_2(esk51_0,esk51_0),esk51_0))),inference(cn,[status(thm)],[4248,theory(equality)])).
% cnf(4274,negated_conjecture,(rearsegP(esk51_0,esk3_2(esk51_0,esk51_0))|~ssList(esk51_0)|~ssList(esk2_2(esk51_0,esk51_0))),inference(spm,[status(thm)],[4249,256,theory(equality)])).
% cnf(4279,negated_conjecture,(rearsegP(esk51_0,esk3_2(esk51_0,esk51_0))|$false|~ssList(esk2_2(esk51_0,esk51_0))),inference(rw,[status(thm)],[4274,584,theory(equality)])).
% cnf(4280,negated_conjecture,(rearsegP(esk51_0,esk3_2(esk51_0,esk51_0))|$false|$false),inference(rw,[status(thm)],[4279,2544,theory(equality)])).
% cnf(4281,negated_conjecture,(rearsegP(esk51_0,esk3_2(esk51_0,esk51_0))),inference(cn,[status(thm)],[4280,theory(equality)])).
% cnf(4282,negated_conjecture,(ssList(esk16_2(esk51_0,esk3_2(esk51_0,esk51_0)))|~ssList(esk3_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[423,4281,theory(equality)])).
% cnf(4283,negated_conjecture,(app(esk16_2(esk51_0,esk3_2(esk51_0,esk51_0)),esk3_2(esk51_0,esk51_0))=esk51_0|~ssList(esk3_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[422,4281,theory(equality)])).
% cnf(4289,negated_conjecture,(ssList(esk16_2(esk51_0,esk3_2(esk51_0,esk51_0)))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[4282,2546,theory(equality)])).
% cnf(4290,negated_conjecture,(ssList(esk16_2(esk51_0,esk3_2(esk51_0,esk51_0)))|$false|$false),inference(rw,[status(thm)],[4289,584,theory(equality)])).
% cnf(4291,negated_conjecture,(ssList(esk16_2(esk51_0,esk3_2(esk51_0,esk51_0)))),inference(cn,[status(thm)],[4290,theory(equality)])).
% cnf(4292,negated_conjecture,(app(esk16_2(esk51_0,esk3_2(esk51_0,esk51_0)),esk3_2(esk51_0,esk51_0))=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[4283,2546,theory(equality)])).
% cnf(4293,negated_conjecture,(app(esk16_2(esk51_0,esk3_2(esk51_0,esk51_0)),esk3_2(esk51_0,esk51_0))=esk51_0|$false|$false),inference(rw,[status(thm)],[4292,584,theory(equality)])).
% cnf(4294,negated_conjecture,(app(esk16_2(esk51_0,esk3_2(esk51_0,esk51_0)),esk3_2(esk51_0,esk51_0))=esk51_0),inference(cn,[status(thm)],[4293,theory(equality)])).
% cnf(5987,negated_conjecture,(segmentP(X1,esk50_0)|esk51_0!=X1|~ssList(esk1_2(esk51_0,esk50_0))|~ssList(esk50_0)|~ssList(X1)),inference(spm,[status(thm)],[812,792,theory(equality)])).
% cnf(6023,negated_conjecture,(segmentP(X1,esk50_0)|esk51_0!=X1|$false|~ssList(esk50_0)|~ssList(X1)),inference(rw,[status(thm)],[5987,640,theory(equality)])).
% cnf(6024,negated_conjecture,(segmentP(X1,esk50_0)|esk51_0!=X1|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[6023,583,theory(equality)])).
% cnf(6025,negated_conjecture,(segmentP(X1,esk50_0)|esk51_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[6024,theory(equality)])).
% cnf(6080,negated_conjecture,(segmentP(esk51_0,esk50_0)|~ssList(esk51_0)),inference(er,[status(thm)],[6025,theory(equality)])).
% cnf(6081,negated_conjecture,(segmentP(esk51_0,esk50_0)|$false),inference(rw,[status(thm)],[6080,584,theory(equality)])).
% cnf(6082,negated_conjecture,(segmentP(esk51_0,esk50_0)),inference(cn,[status(thm)],[6081,theory(equality)])).
% cnf(6090,negated_conjecture,($false|~neq(esk50_0,nil)),inference(rw,[status(thm)],[602,6082,theory(equality)])).
% cnf(6091,negated_conjecture,(~neq(esk50_0,nil)),inference(cn,[status(thm)],[6090,theory(equality)])).
% cnf(6112,negated_conjecture,(esk50_0=nil|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[6091,108,theory(equality)])).
% cnf(6114,negated_conjecture,(esk50_0=nil|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[6112,110,theory(equality)])).
% cnf(6115,negated_conjecture,(esk50_0=nil|$false|$false),inference(rw,[status(thm)],[6114,583,theory(equality)])).
% cnf(6116,negated_conjecture,(esk50_0=nil),inference(cn,[status(thm)],[6115,theory(equality)])).
% cnf(6117,negated_conjecture,(segmentP(esk51_0,nil)),inference(rw,[status(thm)],[6082,6116,theory(equality)])).
% cnf(6215,negated_conjecture,(~totalorderedP(X1)|~segmentP(X1,nil)|~frontsegP(esk51_0,X1)|~neq(esk50_0,X1)|~ssList(X1)),inference(rw,[status(thm)],[582,6116,theory(equality)])).
% cnf(6216,negated_conjecture,(~totalorderedP(X1)|~segmentP(X1,nil)|~frontsegP(esk51_0,X1)|~neq(nil,X1)|~ssList(X1)),inference(rw,[status(thm)],[6215,6116,theory(equality)])).
% cnf(6217,negated_conjecture,(~segmentP(nil,X1)|~segmentP(esk51_0,X1)|~neq(X1,nil)|~ssList(X1)),inference(rw,[status(thm)],[595,6116,theory(equality)])).
% cnf(6223,negated_conjecture,(ssList(esk2_2(esk51_0,nil))|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[171,6117,theory(equality)])).
% cnf(6224,negated_conjecture,(ssList(esk3_2(esk51_0,nil))|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[170,6117,theory(equality)])).
% cnf(6225,negated_conjecture,(app(app(esk2_2(esk51_0,nil),nil),esk3_2(esk51_0,nil))=esk51_0|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[169,6117,theory(equality)])).
% cnf(6233,negated_conjecture,(ssList(esk2_2(esk51_0,nil))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[6223,110,theory(equality)])).
% cnf(6234,negated_conjecture,(ssList(esk2_2(esk51_0,nil))|$false|$false),inference(rw,[status(thm)],[6233,584,theory(equality)])).
% cnf(6235,negated_conjecture,(ssList(esk2_2(esk51_0,nil))),inference(cn,[status(thm)],[6234,theory(equality)])).
% cnf(6236,negated_conjecture,(ssList(esk3_2(esk51_0,nil))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[6224,110,theory(equality)])).
% cnf(6237,negated_conjecture,(ssList(esk3_2(esk51_0,nil))|$false|$false),inference(rw,[status(thm)],[6236,584,theory(equality)])).
% cnf(6238,negated_conjecture,(ssList(esk3_2(esk51_0,nil))),inference(cn,[status(thm)],[6237,theory(equality)])).
% cnf(6239,negated_conjecture,(app(app(esk2_2(esk51_0,nil),nil),esk3_2(esk51_0,nil))=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[6225,110,theory(equality)])).
% cnf(6240,negated_conjecture,(app(app(esk2_2(esk51_0,nil),nil),esk3_2(esk51_0,nil))=esk51_0|$false|$false),inference(rw,[status(thm)],[6239,584,theory(equality)])).
% cnf(6241,negated_conjecture,(app(app(esk2_2(esk51_0,nil),nil),esk3_2(esk51_0,nil))=esk51_0),inference(cn,[status(thm)],[6240,theory(equality)])).
% cnf(6359,negated_conjecture,(~totalorderedP(X1)|~frontsegP(esk51_0,X1)|~neq(nil,X1)|~ssList(X1)),inference(csr,[status(thm)],[6216,143])).
% cnf(6414,negated_conjecture,(rearsegP(esk51_0,esk3_2(esk51_0,nil))|~ssList(app(esk2_2(esk51_0,nil),nil))|~ssList(esk3_2(esk51_0,nil))),inference(spm,[status(thm)],[4192,6241,theory(equality)])).
% cnf(6434,negated_conjecture,(app(esk2_2(esk51_0,nil),esk3_2(esk51_0,nil))=esk51_0|~ssList(esk2_2(esk51_0,nil))),inference(spm,[status(thm)],[6241,185,theory(equality)])).
% cnf(6451,negated_conjecture,(rearsegP(esk51_0,esk3_2(esk51_0,nil))|~ssList(app(esk2_2(esk51_0,nil),nil))|$false),inference(rw,[status(thm)],[6414,6238,theory(equality)])).
% cnf(6452,negated_conjecture,(rearsegP(esk51_0,esk3_2(esk51_0,nil))|~ssList(app(esk2_2(esk51_0,nil),nil))),inference(cn,[status(thm)],[6451,theory(equality)])).
% cnf(6499,negated_conjecture,(app(esk2_2(esk51_0,nil),esk3_2(esk51_0,nil))=esk51_0|$false),inference(rw,[status(thm)],[6434,6235,theory(equality)])).
% cnf(6500,negated_conjecture,(app(esk2_2(esk51_0,nil),esk3_2(esk51_0,nil))=esk51_0),inference(cn,[status(thm)],[6499,theory(equality)])).
% cnf(6648,negated_conjecture,(rearsegP(esk51_0,nil)|~ssList(esk16_2(esk51_0,esk3_2(esk51_0,esk51_0)))|~ssList(esk3_2(esk51_0,esk51_0))),inference(spm,[status(thm)],[824,4294,theory(equality)])).
% cnf(6690,negated_conjecture,(rearsegP(esk51_0,nil)|$false|~ssList(esk3_2(esk51_0,esk51_0))),inference(rw,[status(thm)],[6648,4291,theory(equality)])).
% cnf(6691,negated_conjecture,(rearsegP(esk51_0,nil)|$false|$false),inference(rw,[status(thm)],[6690,2546,theory(equality)])).
% cnf(6692,negated_conjecture,(rearsegP(esk51_0,nil)),inference(cn,[status(thm)],[6691,theory(equality)])).
% cnf(6729,negated_conjecture,(ssList(esk16_2(esk51_0,nil))|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[423,6692,theory(equality)])).
% cnf(6730,negated_conjecture,(app(esk16_2(esk51_0,nil),nil)=esk51_0|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[422,6692,theory(equality)])).
% cnf(6735,negated_conjecture,(ssList(esk16_2(esk51_0,nil))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[6729,110,theory(equality)])).
% cnf(6736,negated_conjecture,(ssList(esk16_2(esk51_0,nil))|$false|$false),inference(rw,[status(thm)],[6735,584,theory(equality)])).
% cnf(6737,negated_conjecture,(ssList(esk16_2(esk51_0,nil))),inference(cn,[status(thm)],[6736,theory(equality)])).
% cnf(6738,negated_conjecture,(app(esk16_2(esk51_0,nil),nil)=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[6730,110,theory(equality)])).
% cnf(6739,negated_conjecture,(app(esk16_2(esk51_0,nil),nil)=esk51_0|$false|$false),inference(rw,[status(thm)],[6738,584,theory(equality)])).
% cnf(6740,negated_conjecture,(app(esk16_2(esk51_0,nil),nil)=esk51_0),inference(cn,[status(thm)],[6739,theory(equality)])).
% cnf(6783,negated_conjecture,(esk51_0=esk16_2(esk51_0,nil)|~ssList(esk16_2(esk51_0,nil))),inference(spm,[status(thm)],[185,6740,theory(equality)])).
% cnf(6863,negated_conjecture,(esk51_0=esk16_2(esk51_0,nil)|$false),inference(rw,[status(thm)],[6783,6737,theory(equality)])).
% cnf(6864,negated_conjecture,(esk51_0=esk16_2(esk51_0,nil)),inference(cn,[status(thm)],[6863,theory(equality)])).
% cnf(6888,negated_conjecture,(app(esk51_0,nil)=esk51_0),inference(rw,[status(thm)],[6740,6864,theory(equality)])).
% cnf(6929,negated_conjecture,(tl(esk51_0)=app(tl(esk51_0),nil)|nil=esk51_0|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[291,6888,theory(equality)])).
% cnf(6930,negated_conjecture,(app(esk51_0,X1)=app(esk51_0,app(nil,X1))|~ssList(X1)|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[240,6888,theory(equality)])).
% cnf(6942,negated_conjecture,(X1=nil|app(esk51_0,X1)!=esk51_0|~ssList(nil)|~ssList(esk51_0)|~ssList(X1)),inference(spm,[status(thm)],[236,6888,theory(equality)])).
% cnf(6976,negated_conjecture,(tl(esk51_0)=app(tl(esk51_0),nil)|nil=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[6929,110,theory(equality)])).
% cnf(6977,negated_conjecture,(tl(esk51_0)=app(tl(esk51_0),nil)|nil=esk51_0|$false|$false),inference(rw,[status(thm)],[6976,584,theory(equality)])).
% cnf(6978,negated_conjecture,(tl(esk51_0)=app(tl(esk51_0),nil)|nil=esk51_0),inference(cn,[status(thm)],[6977,theory(equality)])).
% cnf(6979,negated_conjecture,(app(esk51_0,X1)=app(esk51_0,app(nil,X1))|~ssList(X1)|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[6930,110,theory(equality)])).
% cnf(6980,negated_conjecture,(app(esk51_0,X1)=app(esk51_0,app(nil,X1))|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[6979,584,theory(equality)])).
% cnf(6981,negated_conjecture,(app(esk51_0,X1)=app(esk51_0,app(nil,X1))|~ssList(X1)),inference(cn,[status(thm)],[6980,theory(equality)])).
% cnf(7019,negated_conjecture,(X1=nil|app(esk51_0,X1)!=esk51_0|$false|~ssList(esk51_0)|~ssList(X1)),inference(rw,[status(thm)],[6942,110,theory(equality)])).
% cnf(7020,negated_conjecture,(X1=nil|app(esk51_0,X1)!=esk51_0|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[7019,584,theory(equality)])).
% cnf(7021,negated_conjecture,(X1=nil|app(esk51_0,X1)!=esk51_0|~ssList(X1)),inference(cn,[status(thm)],[7020,theory(equality)])).
% cnf(7558,negated_conjecture,(rearsegP(esk51_0,esk3_2(esk51_0,nil))|~ssList(esk2_2(esk51_0,nil))),inference(spm,[status(thm)],[6452,185,theory(equality)])).
% cnf(7560,negated_conjecture,(rearsegP(esk51_0,esk3_2(esk51_0,nil))|$false),inference(rw,[status(thm)],[7558,6235,theory(equality)])).
% cnf(7561,negated_conjecture,(rearsegP(esk51_0,esk3_2(esk51_0,nil))),inference(cn,[status(thm)],[7560,theory(equality)])).
% cnf(7565,negated_conjecture,(ssList(esk16_2(esk51_0,esk3_2(esk51_0,nil)))|~ssList(esk3_2(esk51_0,nil))|~ssList(esk51_0)),inference(spm,[status(thm)],[423,7561,theory(equality)])).
% cnf(7566,negated_conjecture,(app(esk16_2(esk51_0,esk3_2(esk51_0,nil)),esk3_2(esk51_0,nil))=esk51_0|~ssList(esk3_2(esk51_0,nil))|~ssList(esk51_0)),inference(spm,[status(thm)],[422,7561,theory(equality)])).
% cnf(7571,negated_conjecture,(ssList(esk16_2(esk51_0,esk3_2(esk51_0,nil)))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[7565,6238,theory(equality)])).
% cnf(7572,negated_conjecture,(ssList(esk16_2(esk51_0,esk3_2(esk51_0,nil)))|$false|$false),inference(rw,[status(thm)],[7571,584,theory(equality)])).
% cnf(7573,negated_conjecture,(ssList(esk16_2(esk51_0,esk3_2(esk51_0,nil)))),inference(cn,[status(thm)],[7572,theory(equality)])).
% cnf(7574,negated_conjecture,(app(esk16_2(esk51_0,esk3_2(esk51_0,nil)),esk3_2(esk51_0,nil))=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[7566,6238,theory(equality)])).
% cnf(7575,negated_conjecture,(app(esk16_2(esk51_0,esk3_2(esk51_0,nil)),esk3_2(esk51_0,nil))=esk51_0|$false|$false),inference(rw,[status(thm)],[7574,584,theory(equality)])).
% cnf(7576,negated_conjecture,(app(esk16_2(esk51_0,esk3_2(esk51_0,nil)),esk3_2(esk51_0,nil))=esk51_0),inference(cn,[status(thm)],[7575,theory(equality)])).
% cnf(7605,negated_conjecture,(nil=esk3_2(esk51_0,nil)|esk51_0!=nil|~ssList(esk3_2(esk51_0,nil))|~ssList(esk16_2(esk51_0,esk3_2(esk51_0,nil)))),inference(spm,[status(thm)],[182,7576,theory(equality)])).
% cnf(7672,negated_conjecture,(nil=esk3_2(esk51_0,nil)|esk51_0!=nil|$false|~ssList(esk16_2(esk51_0,esk3_2(esk51_0,nil)))),inference(rw,[status(thm)],[7605,6238,theory(equality)])).
% cnf(7673,negated_conjecture,(nil=esk3_2(esk51_0,nil)|esk51_0!=nil|$false|$false),inference(rw,[status(thm)],[7672,7573,theory(equality)])).
% cnf(7674,negated_conjecture,(nil=esk3_2(esk51_0,nil)|esk51_0!=nil),inference(cn,[status(thm)],[7673,theory(equality)])).
% cnf(7766,negated_conjecture,(hd(esk51_0)=hd(esk2_2(esk51_0,nil))|nil=esk2_2(esk51_0,nil)|~ssList(esk3_2(esk51_0,nil))|~ssList(esk2_2(esk51_0,nil))),inference(spm,[status(thm)],[287,6500,theory(equality)])).
% cnf(7777,negated_conjecture,(X1=esk2_2(esk51_0,nil)|app(X1,esk3_2(esk51_0,nil))!=esk51_0|~ssList(esk2_2(esk51_0,nil))|~ssList(esk3_2(esk51_0,nil))|~ssList(X1)),inference(spm,[status(thm)],[232,6500,theory(equality)])).
% cnf(7778,negated_conjecture,(segmentP(X1,esk2_2(esk51_0,nil))|esk51_0!=X1|~ssList(esk3_2(esk51_0,nil))|~ssList(esk2_2(esk51_0,nil))|~ssList(X1)),inference(spm,[status(thm)],[812,6500,theory(equality)])).
% cnf(7796,negated_conjecture,(hd(esk51_0)=hd(esk2_2(esk51_0,nil))|nil=esk2_2(esk51_0,nil)|$false|~ssList(esk2_2(esk51_0,nil))),inference(rw,[status(thm)],[7766,6238,theory(equality)])).
% cnf(7797,negated_conjecture,(hd(esk51_0)=hd(esk2_2(esk51_0,nil))|nil=esk2_2(esk51_0,nil)|$false|$false),inference(rw,[status(thm)],[7796,6235,theory(equality)])).
% cnf(7798,negated_conjecture,(hd(esk51_0)=hd(esk2_2(esk51_0,nil))|nil=esk2_2(esk51_0,nil)),inference(cn,[status(thm)],[7797,theory(equality)])).
% cnf(7832,negated_conjecture,(X1=esk2_2(esk51_0,nil)|app(X1,esk3_2(esk51_0,nil))!=esk51_0|$false|~ssList(esk3_2(esk51_0,nil))|~ssList(X1)),inference(rw,[status(thm)],[7777,6235,theory(equality)])).
% cnf(7833,negated_conjecture,(X1=esk2_2(esk51_0,nil)|app(X1,esk3_2(esk51_0,nil))!=esk51_0|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[7832,6238,theory(equality)])).
% cnf(7834,negated_conjecture,(X1=esk2_2(esk51_0,nil)|app(X1,esk3_2(esk51_0,nil))!=esk51_0|~ssList(X1)),inference(cn,[status(thm)],[7833,theory(equality)])).
% cnf(7835,negated_conjecture,(segmentP(X1,esk2_2(esk51_0,nil))|esk51_0!=X1|$false|~ssList(esk2_2(esk51_0,nil))|~ssList(X1)),inference(rw,[status(thm)],[7778,6238,theory(equality)])).
% cnf(7836,negated_conjecture,(segmentP(X1,esk2_2(esk51_0,nil))|esk51_0!=X1|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[7835,6235,theory(equality)])).
% cnf(7837,negated_conjecture,(segmentP(X1,esk2_2(esk51_0,nil))|esk51_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[7836,theory(equality)])).
% cnf(8008,negated_conjecture,(segmentP(esk51_0,esk2_2(esk51_0,nil))|~ssList(esk51_0)),inference(er,[status(thm)],[7837,theory(equality)])).
% cnf(8009,negated_conjecture,(segmentP(esk51_0,esk2_2(esk51_0,nil))|$false),inference(rw,[status(thm)],[8008,584,theory(equality)])).
% cnf(8010,negated_conjecture,(segmentP(esk51_0,esk2_2(esk51_0,nil))),inference(cn,[status(thm)],[8009,theory(equality)])).
% cnf(8092,plain,(app(X1,X2)=nil|nil=X1|ssList(app(tl(X1),X2))|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[840,256])).
% cnf(8093,plain,(nil=X1|ssList(app(tl(X1),X2))|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[8092,181])).
% cnf(8098,negated_conjecture,(nil=esk51_0|ssList(tl(esk51_0))|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[8093,6978,theory(equality)])).
% cnf(8101,negated_conjecture,(nil=esk51_0|ssList(tl(esk51_0))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[8098,110,theory(equality)])).
% cnf(8102,negated_conjecture,(nil=esk51_0|ssList(tl(esk51_0))|$false|$false),inference(rw,[status(thm)],[8101,584,theory(equality)])).
% cnf(8103,negated_conjecture,(nil=esk51_0|ssList(tl(esk51_0))),inference(cn,[status(thm)],[8102,theory(equality)])).
% cnf(8131,plain,(cons(hd(app(X1,X2)),app(tl(X1),X2))=app(X1,X2)|app(X1,X2)=nil|nil=X1|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[841,256])).
% cnf(8132,plain,(cons(hd(app(X1,X2)),app(tl(X1),X2))=app(X1,X2)|nil=X1|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[8131,181])).
% cnf(8179,negated_conjecture,(cons(hd(esk51_0),app(tl(esk51_0),nil))=esk51_0|nil=esk51_0|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[8132,6888,theory(equality)])).
% cnf(8216,negated_conjecture,(cons(hd(esk51_0),app(tl(esk51_0),nil))=esk51_0|nil=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[8179,110,theory(equality)])).
% cnf(8217,negated_conjecture,(cons(hd(esk51_0),app(tl(esk51_0),nil))=esk51_0|nil=esk51_0|$false|$false),inference(rw,[status(thm)],[8216,584,theory(equality)])).
% cnf(8218,negated_conjecture,(cons(hd(esk51_0),app(tl(esk51_0),nil))=esk51_0|nil=esk51_0),inference(cn,[status(thm)],[8217,theory(equality)])).
% cnf(8272,negated_conjecture,(nil=esk2_2(esk51_0,nil)|ssItem(hd(esk51_0))|~ssList(esk2_2(esk51_0,nil))),inference(spm,[status(thm)],[252,7798,theory(equality)])).
% cnf(8282,negated_conjecture,(nil=esk2_2(esk51_0,nil)|ssItem(hd(esk51_0))|$false),inference(rw,[status(thm)],[8272,6235,theory(equality)])).
% cnf(8283,negated_conjecture,(nil=esk2_2(esk51_0,nil)|ssItem(hd(esk51_0))),inference(cn,[status(thm)],[8282,theory(equality)])).
% cnf(8303,negated_conjecture,(app(app(nil,nil),esk3_2(esk51_0,nil))=esk51_0|ssItem(hd(esk51_0))),inference(spm,[status(thm)],[6241,8283,theory(equality)])).
% cnf(8324,negated_conjecture,(app(nil,esk3_2(esk51_0,nil))=esk51_0|ssItem(hd(esk51_0))),inference(rw,[status(thm)],[8303,1476,theory(equality)])).
% cnf(8916,negated_conjecture,(app(esk2_2(esk51_0,nil),nil)=esk2_2(esk51_0,nil)|~ssList(app(esk2_2(esk51_0,nil),nil))),inference(spm,[status(thm)],[7834,6241,theory(equality)])).
% cnf(8965,negated_conjecture,(app(esk2_2(esk51_0,nil),nil)=esk2_2(esk51_0,nil)|~ssList(nil)|~ssList(esk2_2(esk51_0,nil))),inference(spm,[status(thm)],[8916,256,theory(equality)])).
% cnf(8969,negated_conjecture,(app(esk2_2(esk51_0,nil),nil)=esk2_2(esk51_0,nil)|$false|~ssList(esk2_2(esk51_0,nil))),inference(rw,[status(thm)],[8965,110,theory(equality)])).
% cnf(8970,negated_conjecture,(app(esk2_2(esk51_0,nil),nil)=esk2_2(esk51_0,nil)|$false|$false),inference(rw,[status(thm)],[8969,6235,theory(equality)])).
% cnf(8971,negated_conjecture,(app(esk2_2(esk51_0,nil),nil)=esk2_2(esk51_0,nil)),inference(cn,[status(thm)],[8970,theory(equality)])).
% cnf(8977,negated_conjecture,(frontsegP(esk2_2(esk51_0,nil),nil)|~ssList(nil)|~ssList(esk2_2(esk51_0,nil))),inference(spm,[status(thm)],[742,8971,theory(equality)])).
% cnf(8985,negated_conjecture,(X1=esk2_2(esk51_0,nil)|app(X1,nil)!=esk2_2(esk51_0,nil)|~ssList(esk2_2(esk51_0,nil))|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[232,8971,theory(equality)])).
% cnf(9034,negated_conjecture,(frontsegP(esk2_2(esk51_0,nil),nil)|$false|~ssList(esk2_2(esk51_0,nil))),inference(rw,[status(thm)],[8977,110,theory(equality)])).
% cnf(9035,negated_conjecture,(frontsegP(esk2_2(esk51_0,nil),nil)|$false|$false),inference(rw,[status(thm)],[9034,6235,theory(equality)])).
% cnf(9036,negated_conjecture,(frontsegP(esk2_2(esk51_0,nil),nil)),inference(cn,[status(thm)],[9035,theory(equality)])).
% cnf(9058,negated_conjecture,(X1=esk2_2(esk51_0,nil)|app(X1,nil)!=esk2_2(esk51_0,nil)|$false|~ssList(nil)|~ssList(X1)),inference(rw,[status(thm)],[8985,6235,theory(equality)])).
% cnf(9059,negated_conjecture,(X1=esk2_2(esk51_0,nil)|app(X1,nil)!=esk2_2(esk51_0,nil)|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[9058,110,theory(equality)])).
% cnf(9060,negated_conjecture,(X1=esk2_2(esk51_0,nil)|app(X1,nil)!=esk2_2(esk51_0,nil)|~ssList(X1)),inference(cn,[status(thm)],[9059,theory(equality)])).
% cnf(9097,negated_conjecture,(ssList(esk1_2(esk2_2(esk51_0,nil),nil))|~ssList(nil)|~ssList(esk2_2(esk51_0,nil))),inference(spm,[status(thm)],[162,9036,theory(equality)])).
% cnf(9099,negated_conjecture,(app(nil,esk1_2(esk2_2(esk51_0,nil),nil))=esk2_2(esk51_0,nil)|~ssList(nil)|~ssList(esk2_2(esk51_0,nil))),inference(spm,[status(thm)],[161,9036,theory(equality)])).
% cnf(9103,negated_conjecture,(ssList(esk1_2(esk2_2(esk51_0,nil),nil))|$false|~ssList(esk2_2(esk51_0,nil))),inference(rw,[status(thm)],[9097,110,theory(equality)])).
% cnf(9104,negated_conjecture,(ssList(esk1_2(esk2_2(esk51_0,nil),nil))|$false|$false),inference(rw,[status(thm)],[9103,6235,theory(equality)])).
% cnf(9105,negated_conjecture,(ssList(esk1_2(esk2_2(esk51_0,nil),nil))),inference(cn,[status(thm)],[9104,theory(equality)])).
% cnf(9109,negated_conjecture,(app(nil,esk1_2(esk2_2(esk51_0,nil),nil))=esk2_2(esk51_0,nil)|$false|~ssList(esk2_2(esk51_0,nil))),inference(rw,[status(thm)],[9099,110,theory(equality)])).
% cnf(9110,negated_conjecture,(app(nil,esk1_2(esk2_2(esk51_0,nil),nil))=esk2_2(esk51_0,nil)|$false|$false),inference(rw,[status(thm)],[9109,6235,theory(equality)])).
% cnf(9111,negated_conjecture,(app(nil,esk1_2(esk2_2(esk51_0,nil),nil))=esk2_2(esk51_0,nil)),inference(cn,[status(thm)],[9110,theory(equality)])).
% cnf(9217,negated_conjecture,(esk2_2(esk51_0,nil)=esk1_2(esk2_2(esk51_0,nil),nil)|~ssList(esk1_2(esk2_2(esk51_0,nil),nil))),inference(spm,[status(thm)],[175,9111,theory(equality)])).
% cnf(9288,negated_conjecture,(esk2_2(esk51_0,nil)=esk1_2(esk2_2(esk51_0,nil),nil)|$false),inference(rw,[status(thm)],[9217,9105,theory(equality)])).
% cnf(9289,negated_conjecture,(esk2_2(esk51_0,nil)=esk1_2(esk2_2(esk51_0,nil),nil)),inference(cn,[status(thm)],[9288,theory(equality)])).
% cnf(9441,negated_conjecture,(app(nil,esk2_2(esk51_0,nil))=esk2_2(esk51_0,nil)),inference(rw,[status(thm)],[9111,9289,theory(equality)])).
% cnf(11478,negated_conjecture,(segmentP(app(esk2_2(esk51_0,nil),X1),esk2_2(esk51_0,nil))|~ssList(X1)|~ssList(nil)|~ssList(esk2_2(esk51_0,nil))),inference(spm,[status(thm)],[892,9441,theory(equality)])).
% cnf(11551,negated_conjecture,(segmentP(app(esk2_2(esk51_0,nil),X1),esk2_2(esk51_0,nil))|~ssList(X1)|$false|~ssList(esk2_2(esk51_0,nil))),inference(rw,[status(thm)],[11478,110,theory(equality)])).
% cnf(11552,negated_conjecture,(segmentP(app(esk2_2(esk51_0,nil),X1),esk2_2(esk51_0,nil))|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[11551,6235,theory(equality)])).
% cnf(11553,negated_conjecture,(segmentP(app(esk2_2(esk51_0,nil),X1),esk2_2(esk51_0,nil))|~ssList(X1)),inference(cn,[status(thm)],[11552,theory(equality)])).
% cnf(12545,negated_conjecture,(ssList(app(esk51_0,X1))|~ssList(app(nil,X1))|~ssList(esk51_0)|~ssList(X1)),inference(spm,[status(thm)],[256,6981,theory(equality)])).
% cnf(12600,negated_conjecture,(app(esk51_0,esk51_0)=app(esk51_0,esk3_2(esk51_0,nil))|ssItem(hd(esk51_0))|~ssList(esk3_2(esk51_0,nil))),inference(spm,[status(thm)],[6981,8324,theory(equality)])).
% cnf(12605,negated_conjecture,(ssList(app(esk51_0,X1))|~ssList(app(nil,X1))|$false|~ssList(X1)),inference(rw,[status(thm)],[12545,584,theory(equality)])).
% cnf(12606,negated_conjecture,(ssList(app(esk51_0,X1))|~ssList(app(nil,X1))|~ssList(X1)),inference(cn,[status(thm)],[12605,theory(equality)])).
% cnf(12670,negated_conjecture,(app(esk51_0,esk51_0)=app(esk51_0,esk3_2(esk51_0,nil))|ssItem(hd(esk51_0))|$false),inference(rw,[status(thm)],[12600,6238,theory(equality)])).
% cnf(12671,negated_conjecture,(app(esk51_0,esk51_0)=app(esk51_0,esk3_2(esk51_0,nil))|ssItem(hd(esk51_0))),inference(cn,[status(thm)],[12670,theory(equality)])).
% cnf(12769,negated_conjecture,(ssList(app(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[12606,2271,theory(equality)])).
% cnf(12786,negated_conjecture,(ssList(app(esk51_0,esk51_0))|$false),inference(rw,[status(thm)],[12769,584,theory(equality)])).
% cnf(12787,negated_conjecture,(ssList(app(esk51_0,esk51_0))),inference(cn,[status(thm)],[12786,theory(equality)])).
% cnf(12893,negated_conjecture,(nil=esk51_0|ssItem(hd(esk51_0))|app(esk51_0,esk51_0)!=nil|~ssList(esk3_2(esk51_0,nil))|~ssList(esk51_0)),inference(spm,[status(thm)],[181,12671,theory(equality)])).
% cnf(12895,negated_conjecture,(hd(app(esk51_0,esk51_0))=hd(esk51_0)|nil=esk51_0|ssItem(hd(esk51_0))|~ssList(esk3_2(esk51_0,nil))|~ssList(esk51_0)),inference(spm,[status(thm)],[287,12671,theory(equality)])).
% cnf(12956,negated_conjecture,(nil=esk51_0|ssItem(hd(esk51_0))|app(esk51_0,esk51_0)!=nil|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[12893,6238,theory(equality)])).
% cnf(12957,negated_conjecture,(nil=esk51_0|ssItem(hd(esk51_0))|app(esk51_0,esk51_0)!=nil|$false|$false),inference(rw,[status(thm)],[12956,584,theory(equality)])).
% cnf(12958,negated_conjecture,(nil=esk51_0|ssItem(hd(esk51_0))|app(esk51_0,esk51_0)!=nil),inference(cn,[status(thm)],[12957,theory(equality)])).
% cnf(12963,negated_conjecture,(hd(app(esk51_0,esk51_0))=hd(esk51_0)|nil=esk51_0|ssItem(hd(esk51_0))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[12895,6238,theory(equality)])).
% cnf(12964,negated_conjecture,(hd(app(esk51_0,esk51_0))=hd(esk51_0)|nil=esk51_0|ssItem(hd(esk51_0))|$false|$false),inference(rw,[status(thm)],[12963,584,theory(equality)])).
% cnf(12965,negated_conjecture,(hd(app(esk51_0,esk51_0))=hd(esk51_0)|nil=esk51_0|ssItem(hd(esk51_0))),inference(cn,[status(thm)],[12964,theory(equality)])).
% cnf(13499,plain,(app(X1,app(X2,nil))=app(X1,X2)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[940,256])).
% cnf(13513,negated_conjecture,(app(X1,nil)=nil|app(esk51_0,X1)!=esk51_0|~ssList(app(X1,nil))|~ssList(X1)|~ssList(esk51_0)),inference(spm,[status(thm)],[7021,13499,theory(equality)])).
% cnf(13558,negated_conjecture,(app(X1,nil)=esk51_0|app(nil,X1)!=esk51_0|~ssList(app(X1,nil))|~ssList(X1)|~ssList(nil)),inference(spm,[status(thm)],[2313,13499,theory(equality)])).
% cnf(13625,negated_conjecture,(app(X1,nil)=nil|app(esk51_0,X1)!=esk51_0|~ssList(app(X1,nil))|~ssList(X1)|$false),inference(rw,[status(thm)],[13513,584,theory(equality)])).
% cnf(13626,negated_conjecture,(app(X1,nil)=nil|app(esk51_0,X1)!=esk51_0|~ssList(app(X1,nil))|~ssList(X1)),inference(cn,[status(thm)],[13625,theory(equality)])).
% cnf(13687,negated_conjecture,(app(X1,nil)=esk51_0|app(nil,X1)!=esk51_0|~ssList(app(X1,nil))|~ssList(X1)|$false),inference(rw,[status(thm)],[13558,110,theory(equality)])).
% cnf(13688,negated_conjecture,(app(X1,nil)=esk51_0|app(nil,X1)!=esk51_0|~ssList(app(X1,nil))|~ssList(X1)),inference(cn,[status(thm)],[13687,theory(equality)])).
% cnf(13983,plain,(ssList(app(X1,app(X2,X3)))|~ssList(X2)|~ssList(X1)|~ssList(X3)),inference(csr,[status(thm)],[923,256])).
% cnf(14019,plain,(ssList(app(X1,nil))|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[13983,1476,theory(equality)])).
% cnf(14095,plain,(ssList(app(X1,nil))|$false|~ssList(X1)),inference(rw,[status(thm)],[14019,110,theory(equality)])).
% cnf(14096,plain,(ssList(app(X1,nil))|~ssList(X1)),inference(cn,[status(thm)],[14095,theory(equality)])).
% cnf(16854,negated_conjecture,(app(X1,nil)=nil|app(esk51_0,X1)!=esk51_0|~ssList(X1)),inference(csr,[status(thm)],[13626,14096])).
% cnf(16858,negated_conjecture,(app(esk3_2(esk51_0,esk51_0),nil)=nil|ssItem(hd(esk51_0))|~ssList(esk3_2(esk51_0,esk51_0))),inference(spm,[status(thm)],[16854,3118,theory(equality)])).
% cnf(16873,negated_conjecture,(app(esk3_2(esk51_0,esk51_0),nil)=nil|ssItem(hd(esk51_0))|$false),inference(rw,[status(thm)],[16858,2546,theory(equality)])).
% cnf(16874,negated_conjecture,(app(esk3_2(esk51_0,esk51_0),nil)=nil|ssItem(hd(esk51_0))),inference(cn,[status(thm)],[16873,theory(equality)])).
% cnf(16885,negated_conjecture,(frontsegP(nil,esk3_2(esk51_0,esk51_0))|ssItem(hd(esk51_0))|~ssList(nil)|~ssList(esk3_2(esk51_0,esk51_0))),inference(spm,[status(thm)],[3394,16874,theory(equality)])).
% cnf(16923,negated_conjecture,(esk3_2(esk51_0,esk51_0)=esk2_2(esk51_0,nil)|ssItem(hd(esk51_0))|nil!=esk2_2(esk51_0,nil)|~ssList(esk3_2(esk51_0,esk51_0))),inference(spm,[status(thm)],[9060,16874,theory(equality)])).
% cnf(16946,negated_conjecture,(frontsegP(nil,esk3_2(esk51_0,esk51_0))|ssItem(hd(esk51_0))|$false|~ssList(esk3_2(esk51_0,esk51_0))),inference(rw,[status(thm)],[16885,110,theory(equality)])).
% cnf(16947,negated_conjecture,(frontsegP(nil,esk3_2(esk51_0,esk51_0))|ssItem(hd(esk51_0))|$false|$false),inference(rw,[status(thm)],[16946,2546,theory(equality)])).
% cnf(16948,negated_conjecture,(frontsegP(nil,esk3_2(esk51_0,esk51_0))|ssItem(hd(esk51_0))),inference(cn,[status(thm)],[16947,theory(equality)])).
% cnf(17061,negated_conjecture,(esk3_2(esk51_0,esk51_0)=esk2_2(esk51_0,nil)|ssItem(hd(esk51_0))|nil!=esk2_2(esk51_0,nil)|$false),inference(rw,[status(thm)],[16923,2546,theory(equality)])).
% cnf(17062,negated_conjecture,(esk3_2(esk51_0,esk51_0)=esk2_2(esk51_0,nil)|ssItem(hd(esk51_0))|nil!=esk2_2(esk51_0,nil)),inference(cn,[status(thm)],[17061,theory(equality)])).
% cnf(17115,plain,(app(X1,nil)=app(nil,X1)|~ssList(X1)|~ssList(nil)),inference(spm,[status(thm)],[13499,942,theory(equality)])).
% cnf(17262,plain,(app(X1,nil)=app(nil,X1)|~ssList(X1)|$false),inference(rw,[status(thm)],[17115,110,theory(equality)])).
% cnf(17263,plain,(app(X1,nil)=app(nil,X1)|~ssList(X1)),inference(cn,[status(thm)],[17262,theory(equality)])).
% cnf(18083,negated_conjecture,(esk3_2(esk51_0,esk51_0)=esk2_2(esk51_0,nil)|ssItem(hd(esk51_0))),inference(csr,[status(thm)],[17062,8283])).
% cnf(18128,negated_conjecture,(ssItem(hd(esk51_0))|frontsegP(nil,esk2_2(esk51_0,nil))),inference(spm,[status(thm)],[16948,18083,theory(equality)])).
% cnf(18142,negated_conjecture,(ssList(esk1_2(nil,esk2_2(esk51_0,nil)))|ssItem(hd(esk51_0))|~ssList(esk2_2(esk51_0,nil))|~ssList(nil)),inference(spm,[status(thm)],[162,18128,theory(equality)])).
% cnf(18144,negated_conjecture,(app(esk2_2(esk51_0,nil),esk1_2(nil,esk2_2(esk51_0,nil)))=nil|ssItem(hd(esk51_0))|~ssList(esk2_2(esk51_0,nil))|~ssList(nil)),inference(spm,[status(thm)],[161,18128,theory(equality)])).
% cnf(18150,negated_conjecture,(ssList(esk1_2(nil,esk2_2(esk51_0,nil)))|ssItem(hd(esk51_0))|$false|~ssList(nil)),inference(rw,[status(thm)],[18142,6235,theory(equality)])).
% cnf(18151,negated_conjecture,(ssList(esk1_2(nil,esk2_2(esk51_0,nil)))|ssItem(hd(esk51_0))|$false|$false),inference(rw,[status(thm)],[18150,110,theory(equality)])).
% cnf(18152,negated_conjecture,(ssList(esk1_2(nil,esk2_2(esk51_0,nil)))|ssItem(hd(esk51_0))),inference(cn,[status(thm)],[18151,theory(equality)])).
% cnf(18157,negated_conjecture,(app(esk2_2(esk51_0,nil),esk1_2(nil,esk2_2(esk51_0,nil)))=nil|ssItem(hd(esk51_0))|$false|~ssList(nil)),inference(rw,[status(thm)],[18144,6235,theory(equality)])).
% cnf(18158,negated_conjecture,(app(esk2_2(esk51_0,nil),esk1_2(nil,esk2_2(esk51_0,nil)))=nil|ssItem(hd(esk51_0))|$false|$false),inference(rw,[status(thm)],[18157,110,theory(equality)])).
% cnf(18159,negated_conjecture,(app(esk2_2(esk51_0,nil),esk1_2(nil,esk2_2(esk51_0,nil)))=nil|ssItem(hd(esk51_0))),inference(cn,[status(thm)],[18158,theory(equality)])).
% cnf(19621,plain,(frontsegP(X1,cons(X2,X3))|cons(X2,app(X3,X4))!=X1|~ssItem(X2)|~ssList(X1)|~ssList(X3)|~ssList(X4)),inference(csr,[status(thm)],[960,249])).
% cnf(20036,negated_conjecture,(app(X1,nil)=esk51_0|app(nil,X1)!=esk51_0|~ssList(X1)),inference(csr,[status(thm)],[13688,14096])).
% cnf(20042,negated_conjecture,(app(esk3_2(esk51_0,nil),nil)=esk51_0|ssItem(hd(esk51_0))|~ssList(esk3_2(esk51_0,nil))),inference(spm,[status(thm)],[20036,8324,theory(equality)])).
% cnf(20067,negated_conjecture,(app(esk3_2(esk51_0,nil),nil)=esk51_0|ssItem(hd(esk51_0))|$false),inference(rw,[status(thm)],[20042,6238,theory(equality)])).
% cnf(20068,negated_conjecture,(app(esk3_2(esk51_0,nil),nil)=esk51_0|ssItem(hd(esk51_0))),inference(cn,[status(thm)],[20067,theory(equality)])).
% cnf(20080,negated_conjecture,(frontsegP(esk51_0,esk3_2(esk51_0,nil))|ssItem(hd(esk51_0))|~ssList(nil)|~ssList(esk3_2(esk51_0,nil))),inference(spm,[status(thm)],[3394,20068,theory(equality)])).
% cnf(20152,negated_conjecture,(frontsegP(esk51_0,esk3_2(esk51_0,nil))|ssItem(hd(esk51_0))|$false|~ssList(esk3_2(esk51_0,nil))),inference(rw,[status(thm)],[20080,110,theory(equality)])).
% cnf(20153,negated_conjecture,(frontsegP(esk51_0,esk3_2(esk51_0,nil))|ssItem(hd(esk51_0))|$false|$false),inference(rw,[status(thm)],[20152,6238,theory(equality)])).
% cnf(20154,negated_conjecture,(frontsegP(esk51_0,esk3_2(esk51_0,nil))|ssItem(hd(esk51_0))),inference(cn,[status(thm)],[20153,theory(equality)])).
% cnf(20466,negated_conjecture,(app(esk3_2(esk51_0,nil),esk1_2(esk51_0,esk3_2(esk51_0,nil)))=esk51_0|ssItem(hd(esk51_0))|~ssList(esk3_2(esk51_0,nil))|~ssList(esk51_0)),inference(spm,[status(thm)],[161,20154,theory(equality)])).
% cnf(20477,negated_conjecture,(app(esk3_2(esk51_0,nil),esk1_2(esk51_0,esk3_2(esk51_0,nil)))=esk51_0|ssItem(hd(esk51_0))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[20466,6238,theory(equality)])).
% cnf(20478,negated_conjecture,(app(esk3_2(esk51_0,nil),esk1_2(esk51_0,esk3_2(esk51_0,nil)))=esk51_0|ssItem(hd(esk51_0))|$false|$false),inference(rw,[status(thm)],[20477,584,theory(equality)])).
% cnf(20479,negated_conjecture,(app(esk3_2(esk51_0,nil),esk1_2(esk51_0,esk3_2(esk51_0,nil)))=esk51_0|ssItem(hd(esk51_0))),inference(cn,[status(thm)],[20478,theory(equality)])).
% cnf(21865,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)],[252,12965,theory(equality)])).
% cnf(21877,negated_conjecture,(nil=app(esk51_0,esk51_0)|ssItem(hd(esk51_0))|esk51_0=nil|$false),inference(rw,[status(thm)],[21865,12787,theory(equality)])).
% cnf(21878,negated_conjecture,(nil=app(esk51_0,esk51_0)|ssItem(hd(esk51_0))|esk51_0=nil),inference(cn,[status(thm)],[21877,theory(equality)])).
% cnf(21901,negated_conjecture,(esk51_0=nil|ssItem(hd(esk51_0))),inference(csr,[status(thm)],[21878,12958])).
% cnf(22508,negated_conjecture,(segmentP(nil,esk2_2(esk51_0,nil))|ssItem(hd(esk51_0))|~ssList(esk1_2(nil,esk2_2(esk51_0,nil)))),inference(spm,[status(thm)],[11553,18159,theory(equality)])).
% cnf(22641,negated_conjecture,(ssItem(hd(esk51_0))|segmentP(nil,esk2_2(esk51_0,nil))),inference(csr,[status(thm)],[22508,18152])).
% cnf(22649,negated_conjecture,(ssItem(hd(esk51_0))|~segmentP(esk51_0,esk2_2(esk51_0,nil))|~neq(esk2_2(esk51_0,nil),nil)|~ssList(esk2_2(esk51_0,nil))),inference(spm,[status(thm)],[6217,22641,theory(equality)])).
% cnf(22673,negated_conjecture,(ssItem(hd(esk51_0))|$false|~neq(esk2_2(esk51_0,nil),nil)|~ssList(esk2_2(esk51_0,nil))),inference(rw,[status(thm)],[22649,8010,theory(equality)])).
% cnf(22674,negated_conjecture,(ssItem(hd(esk51_0))|$false|~neq(esk2_2(esk51_0,nil),nil)|$false),inference(rw,[status(thm)],[22673,6235,theory(equality)])).
% cnf(22675,negated_conjecture,(ssItem(hd(esk51_0))|~neq(esk2_2(esk51_0,nil),nil)),inference(cn,[status(thm)],[22674,theory(equality)])).
% cnf(23020,negated_conjecture,(nil=esk3_2(esk51_0,nil)|ssItem(hd(esk51_0))|esk51_0!=nil|~ssList(esk1_2(esk51_0,esk3_2(esk51_0,nil)))|~ssList(esk3_2(esk51_0,nil))),inference(spm,[status(thm)],[181,20479,theory(equality)])).
% cnf(23081,negated_conjecture,(nil=esk3_2(esk51_0,nil)|ssItem(hd(esk51_0))|esk51_0!=nil|~ssList(esk1_2(esk51_0,esk3_2(esk51_0,nil)))|$false),inference(rw,[status(thm)],[23020,6238,theory(equality)])).
% cnf(23082,negated_conjecture,(nil=esk3_2(esk51_0,nil)|ssItem(hd(esk51_0))|esk51_0!=nil|~ssList(esk1_2(esk51_0,esk3_2(esk51_0,nil)))),inference(cn,[status(thm)],[23081,theory(equality)])).
% cnf(23206,negated_conjecture,(esk3_2(esk51_0,nil)=nil|ssItem(hd(esk51_0))|esk51_0!=nil),inference(csr,[status(thm)],[23082,7674])).
% cnf(23207,negated_conjecture,(esk3_2(esk51_0,nil)=nil|ssItem(hd(esk51_0))),inference(csr,[status(thm)],[23206,21901])).
% cnf(23209,negated_conjecture,(app(app(esk2_2(esk51_0,nil),nil),nil)=esk51_0|ssItem(hd(esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[982,23207,theory(equality)])).
% cnf(23239,negated_conjecture,(esk2_2(esk51_0,nil)=esk51_0|ssItem(hd(esk51_0))|~ssList(esk51_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[23209,8971,theory(equality)]),8971,theory(equality)])).
% cnf(23240,negated_conjecture,(esk2_2(esk51_0,nil)=esk51_0|ssItem(hd(esk51_0))|$false),inference(rw,[status(thm)],[23239,584,theory(equality)])).
% cnf(23241,negated_conjecture,(esk2_2(esk51_0,nil)=esk51_0|ssItem(hd(esk51_0))),inference(cn,[status(thm)],[23240,theory(equality)])).
% cnf(23340,negated_conjecture,(ssItem(hd(esk51_0))|~neq(esk51_0,nil)),inference(spm,[status(thm)],[22675,23241,theory(equality)])).
% cnf(23385,negated_conjecture,(ssItem(hd(esk51_0))|$false),inference(rw,[status(thm)],[23340,587,theory(equality)])).
% cnf(23386,negated_conjecture,(ssItem(hd(esk51_0))),inference(cn,[status(thm)],[23385,theory(equality)])).
% cnf(24536,negated_conjecture,(cons(hd(esk51_0),app(nil,tl(esk51_0)))=esk51_0|esk51_0=nil|~ssList(tl(esk51_0))),inference(spm,[status(thm)],[8218,17263,theory(equality)])).
% cnf(28456,negated_conjecture,(cons(hd(esk51_0),app(nil,tl(esk51_0)))=esk51_0|esk51_0=nil),inference(csr,[status(thm)],[24536,8103])).
% cnf(28556,negated_conjecture,(frontsegP(X1,cons(hd(esk51_0),nil))|esk51_0=nil|esk51_0!=X1|~ssItem(hd(esk51_0))|~ssList(tl(esk51_0))|~ssList(X1)|~ssList(nil)),inference(spm,[status(thm)],[19621,28456,theory(equality)])).
% cnf(28771,negated_conjecture,(frontsegP(X1,cons(hd(esk51_0),nil))|esk51_0=nil|esk51_0!=X1|$false|~ssList(tl(esk51_0))|~ssList(X1)|~ssList(nil)),inference(rw,[status(thm)],[28556,23386,theory(equality)])).
% cnf(28772,negated_conjecture,(frontsegP(X1,cons(hd(esk51_0),nil))|esk51_0=nil|esk51_0!=X1|$false|~ssList(tl(esk51_0))|~ssList(X1)|$false),inference(rw,[status(thm)],[28771,110,theory(equality)])).
% cnf(28773,negated_conjecture,(frontsegP(X1,cons(hd(esk51_0),nil))|esk51_0=nil|esk51_0!=X1|~ssList(tl(esk51_0))|~ssList(X1)),inference(cn,[status(thm)],[28772,theory(equality)])).
% cnf(29036,negated_conjecture,(esk51_0=nil|frontsegP(X1,cons(hd(esk51_0),nil))|esk51_0!=X1|~ssList(X1)),inference(csr,[status(thm)],[28773,8103])).
% cnf(29037,negated_conjecture,(esk51_0=nil|frontsegP(esk51_0,cons(hd(esk51_0),nil))|~ssList(esk51_0)),inference(er,[status(thm)],[29036,theory(equality)])).
% cnf(29038,negated_conjecture,(esk51_0=nil|frontsegP(esk51_0,cons(hd(esk51_0),nil))|$false),inference(rw,[status(thm)],[29037,584,theory(equality)])).
% cnf(29039,negated_conjecture,(esk51_0=nil|frontsegP(esk51_0,cons(hd(esk51_0),nil))),inference(cn,[status(thm)],[29038,theory(equality)])).
% cnf(29051,negated_conjecture,(esk51_0=nil|~totalorderedP(cons(hd(esk51_0),nil))|~neq(nil,cons(hd(esk51_0),nil))|~ssList(cons(hd(esk51_0),nil))),inference(spm,[status(thm)],[6359,29039,theory(equality)])).
% cnf(29766,negated_conjecture,(esk51_0=nil|~neq(nil,cons(hd(esk51_0),nil))|~ssList(cons(hd(esk51_0),nil))|~ssItem(hd(esk51_0))),inference(spm,[status(thm)],[29051,217,theory(equality)])).
% cnf(29767,negated_conjecture,(esk51_0=nil|~neq(nil,cons(hd(esk51_0),nil))|~ssList(cons(hd(esk51_0),nil))|$false),inference(rw,[status(thm)],[29766,23386,theory(equality)])).
% cnf(29768,negated_conjecture,(esk51_0=nil|~neq(nil,cons(hd(esk51_0),nil))|~ssList(cons(hd(esk51_0),nil))),inference(cn,[status(thm)],[29767,theory(equality)])).
% cnf(29769,negated_conjecture,(esk51_0=nil|~neq(nil,cons(hd(esk51_0),nil))|~ssItem(hd(esk51_0))|~ssList(nil)),inference(spm,[status(thm)],[29768,249,theory(equality)])).
% cnf(29771,negated_conjecture,(esk51_0=nil|~neq(nil,cons(hd(esk51_0),nil))|$false|~ssList(nil)),inference(rw,[status(thm)],[29769,23386,theory(equality)])).
% cnf(29772,negated_conjecture,(esk51_0=nil|~neq(nil,cons(hd(esk51_0),nil))|$false|$false),inference(rw,[status(thm)],[29771,110,theory(equality)])).
% cnf(29773,negated_conjecture,(esk51_0=nil|~neq(nil,cons(hd(esk51_0),nil))),inference(cn,[status(thm)],[29772,theory(equality)])).
% cnf(29776,negated_conjecture,(esk51_0=nil|nil=cons(hd(esk51_0),nil)|~ssList(cons(hd(esk51_0),nil))|~ssList(nil)),inference(spm,[status(thm)],[29773,108,theory(equality)])).
% cnf(29778,negated_conjecture,(esk51_0=nil|nil=cons(hd(esk51_0),nil)|~ssList(cons(hd(esk51_0),nil))|$false),inference(rw,[status(thm)],[29776,110,theory(equality)])).
% cnf(29779,negated_conjecture,(esk51_0=nil|nil=cons(hd(esk51_0),nil)|~ssList(cons(hd(esk51_0),nil))),inference(cn,[status(thm)],[29778,theory(equality)])).
% cnf(29780,negated_conjecture,(cons(hd(esk51_0),nil)=nil|esk51_0=nil|~ssItem(hd(esk51_0))|~ssList(nil)),inference(spm,[status(thm)],[29779,249,theory(equality)])).
% cnf(29782,negated_conjecture,(cons(hd(esk51_0),nil)=nil|esk51_0=nil|$false|~ssList(nil)),inference(rw,[status(thm)],[29780,23386,theory(equality)])).
% cnf(29783,negated_conjecture,(cons(hd(esk51_0),nil)=nil|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[29782,110,theory(equality)])).
% cnf(29784,negated_conjecture,(cons(hd(esk51_0),nil)=nil|esk51_0=nil),inference(cn,[status(thm)],[29783,theory(equality)])).
% cnf(29787,negated_conjecture,(esk51_0=nil|~ssItem(hd(esk51_0))|~ssList(nil)),inference(spm,[status(thm)],[228,29784,theory(equality)])).
% cnf(29898,negated_conjecture,(esk51_0=nil|$false|~ssList(nil)),inference(rw,[status(thm)],[29787,23386,theory(equality)])).
% cnf(29899,negated_conjecture,(esk51_0=nil|$false|$false),inference(rw,[status(thm)],[29898,110,theory(equality)])).
% cnf(29900,negated_conjecture,(esk51_0=nil),inference(cn,[status(thm)],[29899,theory(equality)])).
% cnf(31176,negated_conjecture,(neq(nil,nil)),inference(rw,[status(thm)],[587,29900,theory(equality)])).
% cnf(31177,negated_conjecture,($false),inference(sr,[status(thm)],[31176,1358,theory(equality)])).
% cnf(31178,negated_conjecture,($false),31177,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 2608
% # ...of these trivial : 23
% # ...subsumed : 1397
% # ...remaining for further processing: 1188
% # Other redundant clauses eliminated : 311
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 88
% # Backward-rewritten : 648
% # Generated clauses : 12089
% # ...of the previous two non-trivial : 10406
% # Contextual simplify-reflections : 1238
% # Paramodulations : 11648
% # Factorizations : 0
% # Equation resolutions : 441
% # Current number of processed clauses: 446
% # Positive orientable unit clauses: 21
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 3
% # Non-unit-clauses : 422
% # Current number of unprocessed clauses: 4341
% # ...number of literals in the above : 32519
% # Clause-clause subsumption calls (NU) : 37365
% # Rec. Clause-clause subsumption calls : 19898
% # Unit Clause-clause subsumption calls : 218
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 48
% # Indexed BW rewrite successes : 38
% # Backwards rewriting index: 406 leaves, 1.47+/-1.295 terms/leaf
% # Paramod-from index: 189 leaves, 1.00+/-0.000 terms/leaf
% # Paramod-into index: 315 leaves, 1.35+/-1.219 terms/leaf
% # -------------------------------------------------
% # User time : 0.748 s
% # System time : 0.020 s
% # Total time : 0.768 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.28 CPU 1.40 WC
% FINAL PrfWatch: 1.28 CPU 1.40 WC
% SZS output end Solution for /tmp/SystemOnTPTP16988/SWC091+1.tptp
%
%------------------------------------------------------------------------------