TSTP Solution File: SWC031+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC031+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 : art07.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Thu Dec 30 06:52:37 EST 2010
% Result : Theorem 4.21s
% Output : Solution 4.21s
% 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/SystemOnTPTP17329/SWC031+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP17329/SWC031+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP17329/SWC031+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 17425
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.93 CPU 2.02 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(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(4, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>((frontsegP(X1,X2)&frontsegP(X2,X1))=>X1=X2))),file('/tmp/SRASS.s.p', ax41)).
% 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(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)=>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(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(76, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>cons(X2,X1)=app(cons(X2,nil),X1))),file('/tmp/SRASS.s.p', ax81)).
% 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))|~(frontsegP(X4,X3)))|~(totalorderedP(X3)))|?[X5]:((((ssList(X5)&neq(X3,X5))&frontsegP(X4,X5))&segmentP(X5,X3))&totalorderedP(X5)))|((~(nil=X2)|nil=X1)&(~(nil=X1)|nil=X2))))))),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))|~(frontsegP(X4,X3)))|~(totalorderedP(X3)))|?[X5]:((((ssList(X5)&neq(X3,X5))&frontsegP(X4,X5))&segmentP(X5,X3))&totalorderedP(X5)))|((~(nil=X2)|nil=X1)&(~(nil=X1)|nil=X2)))))))),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))|~(frontsegP(X4,X3)))|~(totalorderedP(X3)))|?[X5]:((((ssList(X5)&neq(X3,X5))&frontsegP(X4,X5))&segmentP(X5,X3))&totalorderedP(X5)))|((~(nil=X2)|nil=X1)&(~(nil=X1)|nil=X2)))))))),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(115, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(frontsegP(X1,X2))|~(frontsegP(X2,X1)))|X1=X2))),inference(fof_nnf,[status(thm)],[4])).
% fof(116, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(frontsegP(X3,X4))|~(frontsegP(X4,X3)))|X3=X4))),inference(variable_rename,[status(thm)],[115])).
% fof(117, plain,![X3]:![X4]:((~(ssList(X4))|((~(frontsegP(X3,X4))|~(frontsegP(X4,X3)))|X3=X4))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[116])).
% cnf(118,plain,(X1=X2|~ssList(X1)|~frontsegP(X2,X1)|~frontsegP(X1,X2)|~ssList(X2)),inference(split_conjunct,[status(thm)],[117])).
% 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(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))|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(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(413, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|cons(X2,X1)=app(cons(X2,nil),X1))),inference(fof_nnf,[status(thm)],[76])).
% fof(414, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))),inference(variable_rename,[status(thm)],[413])).
% fof(415, plain,![X3]:![X4]:((~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[414])).
% cnf(416,plain,(cons(X2,X1)=app(cons(X2,nil),X1)|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[415])).
% 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])).
% 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)&frontsegP(X4,X3))&totalorderedP(X3))&![X5]:((((~(ssList(X5))|~(neq(X3,X5)))|~(frontsegP(X4,X5)))|~(segmentP(X5,X3)))|~(totalorderedP(X5))))&((nil=X2&~(nil=X1))|(nil=X1&~(nil=X2)))))))),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)&frontsegP(X9,X8))&totalorderedP(X8))&![X10]:((((~(ssList(X10))|~(neq(X8,X10)))|~(frontsegP(X9,X10)))|~(segmentP(X10,X8)))|~(totalorderedP(X10))))&((nil=X7&~(nil=X6))|(nil=X6&~(nil=X7)))))))),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)&frontsegP(esk51_0,esk50_0))&totalorderedP(esk50_0))&![X10]:((((~(ssList(X10))|~(neq(esk50_0,X10)))|~(frontsegP(esk51_0,X10)))|~(segmentP(X10,esk50_0)))|~(totalorderedP(X10))))&((nil=esk49_0&~(nil=esk48_0))|(nil=esk48_0&~(nil=esk49_0)))))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,![X10]:((((((((((~(ssList(X10))|~(neq(esk50_0,X10)))|~(frontsegP(esk51_0,X10)))|~(segmentP(X10,esk50_0)))|~(totalorderedP(X10)))&(((esk49_0=esk51_0&esk48_0=esk50_0)&frontsegP(esk51_0,esk50_0))&totalorderedP(esk50_0)))&((nil=esk49_0&~(nil=esk48_0))|(nil=esk48_0&~(nil=esk49_0))))&ssList(esk51_0))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(shift_quantors,[status(thm)],[570])).
% fof(572, negated_conjecture,![X10]:((((((((((~(ssList(X10))|~(neq(esk50_0,X10)))|~(frontsegP(esk51_0,X10)))|~(segmentP(X10,esk50_0)))|~(totalorderedP(X10)))&(((esk49_0=esk51_0&esk48_0=esk50_0)&frontsegP(esk51_0,esk50_0))&totalorderedP(esk50_0)))&(((nil=esk48_0|nil=esk49_0)&(~(nil=esk49_0)|nil=esk49_0))&((nil=esk48_0|~(nil=esk48_0))&(~(nil=esk49_0)|~(nil=esk48_0)))))&ssList(esk51_0))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(distribute,[status(thm)],[571])).
% cnf(573,negated_conjecture,(ssList(esk48_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(574,negated_conjecture,(ssList(esk49_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(577,negated_conjecture,(nil!=esk48_0|nil!=esk49_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(580,negated_conjecture,(nil=esk49_0|nil=esk48_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(582,negated_conjecture,(frontsegP(esk51_0,esk50_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(583,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(584,negated_conjecture,(esk49_0=esk51_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(585,negated_conjecture,(~totalorderedP(X1)|~segmentP(X1,esk50_0)|~frontsegP(esk51_0,X1)|~neq(esk50_0,X1)|~ssList(X1)),inference(split_conjunct,[status(thm)],[572])).
% cnf(586,negated_conjecture,(esk50_0!=nil|esk49_0!=nil),inference(rw,[status(thm)],[577,583,theory(equality)])).
% cnf(587,negated_conjecture,(esk50_0!=nil|esk51_0!=nil),inference(rw,[status(thm)],[586,584,theory(equality)])).
% cnf(588,negated_conjecture,(ssList(esk50_0)),inference(rw,[status(thm)],[573,583,theory(equality)])).
% cnf(589,negated_conjecture,(ssList(esk51_0)),inference(rw,[status(thm)],[574,584,theory(equality)])).
% cnf(592,negated_conjecture,(esk50_0=nil|esk49_0=nil),inference(rw,[status(thm)],[580,583,theory(equality)])).
% cnf(593,negated_conjecture,(esk50_0=nil|esk51_0=nil),inference(rw,[status(thm)],[592,584,theory(equality)])).
% cnf(597,plain,(frontsegP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[128,theory(equality)])).
% cnf(598,plain,(frontsegP(nil,nil)|$false),inference(rw,[status(thm)],[597,110,theory(equality)])).
% cnf(599,plain,(frontsegP(nil,nil)),inference(cn,[status(thm)],[598,theory(equality)])).
% cnf(670,negated_conjecture,(esk50_0=esk51_0|~frontsegP(esk50_0,esk51_0)|~ssList(esk51_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[118,582,theory(equality)])).
% cnf(672,negated_conjecture,(esk50_0=esk51_0|~frontsegP(esk50_0,esk51_0)|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[670,589,theory(equality)])).
% cnf(673,negated_conjecture,(esk50_0=esk51_0|~frontsegP(esk50_0,esk51_0)|$false|$false),inference(rw,[status(thm)],[672,588,theory(equality)])).
% cnf(674,negated_conjecture,(esk50_0=esk51_0|~frontsegP(esk50_0,esk51_0)),inference(cn,[status(thm)],[673,theory(equality)])).
% cnf(684,plain,(ssList(esk16_2(X1,nil))|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[423,273,theory(equality)])).
% cnf(686,plain,(ssList(esk16_2(X1,nil))|$false|~ssList(X1)),inference(rw,[status(thm)],[684,110,theory(equality)])).
% cnf(687,plain,(ssList(esk16_2(X1,nil))|~ssList(X1)),inference(cn,[status(thm)],[686,theory(equality)])).
% cnf(701,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)|~ssList(app(X1,X2))),inference(er,[status(thm)],[163,theory(equality)])).
% cnf(784,plain,(cons(hd(X1),tl(app(X1,X2)))=app(X1,X2)|nil=app(X1,X2)|nil=X1|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[427,287,theory(equality)])).
% cnf(821,plain,(rearsegP(app(X1,X2),nil)|~ssList(X1)|~ssList(nil)|~ssList(X2)),inference(spm,[status(thm)],[394,273,theory(equality)])).
% cnf(823,plain,(rearsegP(app(X1,X2),nil)|~ssList(X1)|$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(829,plain,(app(esk16_2(X1,nil),nil)=X1|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[422,273,theory(equality)])).
% cnf(831,plain,(app(esk16_2(X1,nil),nil)=X1|$false|~ssList(X1)),inference(rw,[status(thm)],[829,110,theory(equality)])).
% cnf(832,plain,(app(esk16_2(X1,nil),nil)=X1|~ssList(X1)),inference(cn,[status(thm)],[831,theory(equality)])).
% cnf(840,plain,(nil=app(X1,X2)|ssList(app(tl(X1),X2))|nil=X1|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[196,291,theory(equality)])).
% cnf(956,plain,(ssList(cons(X1,app(X2,X3)))|~ssList(X3)|~ssList(cons(X1,X2))|~ssItem(X1)|~ssList(X2)),inference(spm,[status(thm)],[256,340,theory(equality)])).
% cnf(1329,plain,(ssList(esk1_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[162,599,theory(equality)])).
% cnf(1330,plain,(app(nil,esk1_2(nil,nil))=nil|~ssList(nil)),inference(spm,[status(thm)],[161,599,theory(equality)])).
% cnf(1333,plain,(ssList(esk1_2(nil,nil))|$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|$false),inference(rw,[status(thm)],[1330,110,theory(equality)])).
% cnf(1336,plain,(app(nil,esk1_2(nil,nil))=nil),inference(cn,[status(thm)],[1335,theory(equality)])).
% cnf(1356,negated_conjecture,(nil=esk50_0|~frontsegP(esk50_0,nil)),inference(spm,[status(thm)],[674,593,theory(equality)])).
% cnf(1357,negated_conjecture,(esk50_0=nil|~ssList(esk50_0)),inference(spm,[status(thm)],[1356,124,theory(equality)])).
% cnf(1358,negated_conjecture,(esk50_0=nil|$false),inference(rw,[status(thm)],[1357,588,theory(equality)])).
% cnf(1359,negated_conjecture,(esk50_0=nil),inference(cn,[status(thm)],[1358,theory(equality)])).
% cnf(1366,negated_conjecture,(~totalorderedP(X1)|~segmentP(X1,nil)|~frontsegP(esk51_0,X1)|~neq(esk50_0,X1)|~ssList(X1)),inference(rw,[status(thm)],[585,1359,theory(equality)])).
% cnf(1367,negated_conjecture,(~totalorderedP(X1)|~segmentP(X1,nil)|~frontsegP(esk51_0,X1)|~neq(nil,X1)|~ssList(X1)),inference(rw,[status(thm)],[1366,1359,theory(equality)])).
% cnf(1368,negated_conjecture,(frontsegP(esk51_0,nil)),inference(rw,[status(thm)],[582,1359,theory(equality)])).
% cnf(1371,negated_conjecture,($false|esk51_0!=nil),inference(rw,[status(thm)],[587,1359,theory(equality)])).
% cnf(1372,negated_conjecture,(esk51_0!=nil),inference(cn,[status(thm)],[1371,theory(equality)])).
% cnf(1388,negated_conjecture,(ssList(esk1_2(esk51_0,nil))|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[162,1368,theory(equality)])).
% cnf(1390,negated_conjecture,(app(nil,esk1_2(esk51_0,nil))=esk51_0|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[161,1368,theory(equality)])).
% cnf(1393,negated_conjecture,(ssList(esk1_2(esk51_0,nil))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[1388,110,theory(equality)])).
% cnf(1394,negated_conjecture,(ssList(esk1_2(esk51_0,nil))|$false|$false),inference(rw,[status(thm)],[1393,589,theory(equality)])).
% cnf(1395,negated_conjecture,(ssList(esk1_2(esk51_0,nil))),inference(cn,[status(thm)],[1394,theory(equality)])).
% cnf(1400,negated_conjecture,(app(nil,esk1_2(esk51_0,nil))=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[1390,110,theory(equality)])).
% cnf(1401,negated_conjecture,(app(nil,esk1_2(esk51_0,nil))=esk51_0|$false|$false),inference(rw,[status(thm)],[1400,589,theory(equality)])).
% cnf(1402,negated_conjecture,(app(nil,esk1_2(esk51_0,nil))=esk51_0),inference(cn,[status(thm)],[1401,theory(equality)])).
% cnf(1416,plain,(nil=esk1_2(nil,nil)|~ssList(esk1_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[182,1336,theory(equality)])).
% cnf(1443,plain,(nil=esk1_2(nil,nil)|$false|~ssList(nil)),inference(rw,[status(thm)],[1416,1334,theory(equality)])).
% cnf(1444,plain,(nil=esk1_2(nil,nil)|$false|$false),inference(rw,[status(thm)],[1443,110,theory(equality)])).
% cnf(1445,plain,(nil=esk1_2(nil,nil)),inference(cn,[status(thm)],[1444,theory(equality)])).
% cnf(1457,plain,(app(nil,nil)=nil),inference(rw,[status(thm)],[1336,1445,theory(equality)])).
% cnf(1559,negated_conjecture,(esk51_0=esk1_2(esk51_0,nil)|~ssList(esk1_2(esk51_0,nil))),inference(spm,[status(thm)],[175,1402,theory(equality)])).
% cnf(1594,negated_conjecture,(esk51_0=esk1_2(esk51_0,nil)|$false),inference(rw,[status(thm)],[1559,1395,theory(equality)])).
% cnf(1595,negated_conjecture,(esk51_0=esk1_2(esk51_0,nil)),inference(cn,[status(thm)],[1594,theory(equality)])).
% cnf(1596,negated_conjecture,(app(nil,esk51_0)=esk51_0),inference(rw,[status(thm)],[1402,1595,theory(equality)])).
% cnf(1604,negated_conjecture,(segmentP(X1,esk51_0)|app(esk51_0,X2)!=X1|~ssList(X2)|~ssList(nil)|~ssList(esk51_0)|~ssList(X1)),inference(spm,[status(thm)],[172,1596,theory(equality)])).
% cnf(1628,negated_conjecture,(segmentP(X1,esk51_0)|app(esk51_0,X2)!=X1|~ssList(X2)|$false|~ssList(esk51_0)|~ssList(X1)),inference(rw,[status(thm)],[1604,110,theory(equality)])).
% cnf(1629,negated_conjecture,(segmentP(X1,esk51_0)|app(esk51_0,X2)!=X1|~ssList(X2)|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[1628,589,theory(equality)])).
% cnf(1630,negated_conjecture,(segmentP(X1,esk51_0)|app(esk51_0,X2)!=X1|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[1629,theory(equality)])).
% cnf(1736,negated_conjecture,(~totalorderedP(X1)|~frontsegP(esk51_0,X1)|~neq(nil,X1)|~ssList(X1)),inference(csr,[status(thm)],[1367,143])).
% cnf(2193,negated_conjecture,(segmentP(X1,esk51_0)|esk51_0!=X1|~ssList(nil)|~ssList(X1)|~ssList(esk51_0)),inference(spm,[status(thm)],[1630,185,theory(equality)])).
% cnf(2194,negated_conjecture,(segmentP(X1,esk51_0)|esk51_0!=X1|$false|~ssList(X1)|~ssList(esk51_0)),inference(rw,[status(thm)],[2193,110,theory(equality)])).
% cnf(2195,negated_conjecture,(segmentP(X1,esk51_0)|esk51_0!=X1|$false|~ssList(X1)|$false),inference(rw,[status(thm)],[2194,589,theory(equality)])).
% cnf(2196,negated_conjecture,(segmentP(X1,esk51_0)|esk51_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[2195,theory(equality)])).
% cnf(2197,negated_conjecture,(segmentP(esk51_0,esk51_0)|~ssList(esk51_0)),inference(er,[status(thm)],[2196,theory(equality)])).
% cnf(2198,negated_conjecture,(segmentP(esk51_0,esk51_0)|$false),inference(rw,[status(thm)],[2197,589,theory(equality)])).
% cnf(2199,negated_conjecture,(segmentP(esk51_0,esk51_0)),inference(cn,[status(thm)],[2198,theory(equality)])).
% cnf(2200,negated_conjecture,(ssList(esk2_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[171,2199,theory(equality)])).
% cnf(2201,negated_conjecture,(ssList(esk3_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[170,2199,theory(equality)])).
% cnf(2202,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)],[169,2199,theory(equality)])).
% cnf(2205,negated_conjecture,(ssList(esk2_2(esk51_0,esk51_0))|$false),inference(rw,[status(thm)],[2200,589,theory(equality)])).
% cnf(2206,negated_conjecture,(ssList(esk2_2(esk51_0,esk51_0))),inference(cn,[status(thm)],[2205,theory(equality)])).
% cnf(2207,negated_conjecture,(ssList(esk3_2(esk51_0,esk51_0))|$false),inference(rw,[status(thm)],[2201,589,theory(equality)])).
% cnf(2208,negated_conjecture,(ssList(esk3_2(esk51_0,esk51_0))),inference(cn,[status(thm)],[2207,theory(equality)])).
% cnf(2209,negated_conjecture,(app(app(esk2_2(esk51_0,esk51_0),esk51_0),esk3_2(esk51_0,esk51_0))=esk51_0|$false),inference(rw,[status(thm)],[2202,589,theory(equality)])).
% cnf(2210,negated_conjecture,(app(app(esk2_2(esk51_0,esk51_0),esk51_0),esk3_2(esk51_0,esk51_0))=esk51_0),inference(cn,[status(thm)],[2209,theory(equality)])).
% cnf(2232,negated_conjecture,(esk51_0=app(esk2_2(esk51_0,esk51_0),app(esk51_0,esk3_2(esk51_0,esk51_0)))|~ssList(esk3_2(esk51_0,esk51_0))|~ssList(esk51_0)|~ssList(esk2_2(esk51_0,esk51_0))),inference(spm,[status(thm)],[240,2210,theory(equality)])).
% cnf(2270,negated_conjecture,(esk51_0=app(esk2_2(esk51_0,esk51_0),app(esk51_0,esk3_2(esk51_0,esk51_0)))|$false|~ssList(esk51_0)|~ssList(esk2_2(esk51_0,esk51_0))),inference(rw,[status(thm)],[2232,2208,theory(equality)])).
% cnf(2271,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)],[2270,589,theory(equality)])).
% cnf(2272,negated_conjecture,(esk51_0=app(esk2_2(esk51_0,esk51_0),app(esk51_0,esk3_2(esk51_0,esk51_0)))|$false|$false|$false),inference(rw,[status(thm)],[2271,2206,theory(equality)])).
% cnf(2273,negated_conjecture,(esk51_0=app(esk2_2(esk51_0,esk51_0),app(esk51_0,esk3_2(esk51_0,esk51_0)))),inference(cn,[status(thm)],[2272,theory(equality)])).
% cnf(2393,plain,(frontsegP(X1,esk16_2(X2,nil))|X2!=X1|~ssList(nil)|~ssList(esk16_2(X2,nil))|~ssList(X1)|~ssList(X2)),inference(spm,[status(thm)],[163,832,theory(equality)])).
% cnf(2419,plain,(frontsegP(X1,esk16_2(X2,nil))|X2!=X1|$false|~ssList(esk16_2(X2,nil))|~ssList(X1)|~ssList(X2)),inference(rw,[status(thm)],[2393,110,theory(equality)])).
% cnf(2420,plain,(frontsegP(X1,esk16_2(X2,nil))|X2!=X1|~ssList(esk16_2(X2,nil))|~ssList(X1)|~ssList(X2)),inference(cn,[status(thm)],[2419,theory(equality)])).
% cnf(2421,plain,(frontsegP(X1,esk16_2(X1,nil))|~ssList(esk16_2(X1,nil))|~ssList(X1)),inference(er,[status(thm)],[2420,theory(equality)])).
% cnf(2471,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)],[163,2273,theory(equality)])).
% cnf(2497,negated_conjecture,(frontsegP(X1,esk2_2(esk51_0,esk51_0))|esk51_0!=X1|~ssList(app(esk51_0,esk3_2(esk51_0,esk51_0)))|$false|~ssList(X1)),inference(rw,[status(thm)],[2471,2206,theory(equality)])).
% cnf(2498,negated_conjecture,(frontsegP(X1,esk2_2(esk51_0,esk51_0))|esk51_0!=X1|~ssList(app(esk51_0,esk3_2(esk51_0,esk51_0)))|~ssList(X1)),inference(cn,[status(thm)],[2497,theory(equality)])).
% cnf(2517,negated_conjecture,(frontsegP(X1,esk2_2(esk51_0,esk51_0))|esk51_0!=X1|~ssList(X1)|~ssList(esk3_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[2498,256,theory(equality)])).
% cnf(2518,negated_conjecture,(frontsegP(X1,esk2_2(esk51_0,esk51_0))|esk51_0!=X1|~ssList(X1)|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[2517,2208,theory(equality)])).
% cnf(2519,negated_conjecture,(frontsegP(X1,esk2_2(esk51_0,esk51_0))|esk51_0!=X1|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[2518,589,theory(equality)])).
% cnf(2520,negated_conjecture,(frontsegP(X1,esk2_2(esk51_0,esk51_0))|esk51_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[2519,theory(equality)])).
% cnf(2521,negated_conjecture,(frontsegP(esk51_0,esk2_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(er,[status(thm)],[2520,theory(equality)])).
% cnf(2522,negated_conjecture,(frontsegP(esk51_0,esk2_2(esk51_0,esk51_0))|$false),inference(rw,[status(thm)],[2521,589,theory(equality)])).
% cnf(2523,negated_conjecture,(frontsegP(esk51_0,esk2_2(esk51_0,esk51_0))),inference(cn,[status(thm)],[2522,theory(equality)])).
% cnf(2524,negated_conjecture,(ssList(esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))|~ssList(esk2_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[162,2523,theory(equality)])).
% cnf(2526,negated_conjecture,(app(esk2_2(esk51_0,esk51_0),esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))=esk51_0|~ssList(esk2_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[161,2523,theory(equality)])).
% cnf(2530,negated_conjecture,(ssList(esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[2524,2206,theory(equality)])).
% cnf(2531,negated_conjecture,(ssList(esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))|$false|$false),inference(rw,[status(thm)],[2530,589,theory(equality)])).
% cnf(2532,negated_conjecture,(ssList(esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))),inference(cn,[status(thm)],[2531,theory(equality)])).
% cnf(2536,negated_conjecture,(app(esk2_2(esk51_0,esk51_0),esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[2526,2206,theory(equality)])).
% cnf(2537,negated_conjecture,(app(esk2_2(esk51_0,esk51_0),esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))=esk51_0|$false|$false),inference(rw,[status(thm)],[2536,589,theory(equality)])).
% cnf(2538,negated_conjecture,(app(esk2_2(esk51_0,esk51_0),esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))=esk51_0),inference(cn,[status(thm)],[2537,theory(equality)])).
% cnf(3000,plain,(frontsegP(X1,esk16_2(X1,nil))|~ssList(X1)),inference(csr,[status(thm)],[2421,687])).
% cnf(3239,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[701,256])).
% cnf(3252,plain,(frontsegP(cons(X1,X2),cons(X1,nil))|~ssList(X2)|~ssList(cons(X1,nil))|~ssItem(X1)),inference(spm,[status(thm)],[3239,416,theory(equality)])).
% cnf(3855,negated_conjecture,(rearsegP(esk51_0,nil)|~ssList(esk2_2(esk51_0,esk51_0))|~ssList(esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))),inference(spm,[status(thm)],[824,2538,theory(equality)])).
% cnf(3895,negated_conjecture,(rearsegP(esk51_0,nil)|$false|~ssList(esk1_2(esk51_0,esk2_2(esk51_0,esk51_0)))),inference(rw,[status(thm)],[3855,2206,theory(equality)])).
% cnf(3896,negated_conjecture,(rearsegP(esk51_0,nil)|$false|$false),inference(rw,[status(thm)],[3895,2532,theory(equality)])).
% cnf(3897,negated_conjecture,(rearsegP(esk51_0,nil)),inference(cn,[status(thm)],[3896,theory(equality)])).
% cnf(3924,negated_conjecture,(ssList(esk16_2(esk51_0,nil))|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[423,3897,theory(equality)])).
% cnf(3925,negated_conjecture,(app(esk16_2(esk51_0,nil),nil)=esk51_0|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[422,3897,theory(equality)])).
% cnf(3930,negated_conjecture,(ssList(esk16_2(esk51_0,nil))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[3924,110,theory(equality)])).
% cnf(3931,negated_conjecture,(ssList(esk16_2(esk51_0,nil))|$false|$false),inference(rw,[status(thm)],[3930,589,theory(equality)])).
% cnf(3932,negated_conjecture,(ssList(esk16_2(esk51_0,nil))),inference(cn,[status(thm)],[3931,theory(equality)])).
% cnf(3933,negated_conjecture,(app(esk16_2(esk51_0,nil),nil)=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[3925,110,theory(equality)])).
% cnf(3934,negated_conjecture,(app(esk16_2(esk51_0,nil),nil)=esk51_0|$false|$false),inference(rw,[status(thm)],[3933,589,theory(equality)])).
% cnf(3935,negated_conjecture,(app(esk16_2(esk51_0,nil),nil)=esk51_0),inference(cn,[status(thm)],[3934,theory(equality)])).
% cnf(3972,negated_conjecture,(esk51_0=esk16_2(esk51_0,nil)|~ssList(esk16_2(esk51_0,nil))),inference(spm,[status(thm)],[185,3935,theory(equality)])).
% cnf(4032,negated_conjecture,(esk51_0=esk16_2(esk51_0,nil)|$false),inference(rw,[status(thm)],[3972,3932,theory(equality)])).
% cnf(4033,negated_conjecture,(esk51_0=esk16_2(esk51_0,nil)),inference(cn,[status(thm)],[4032,theory(equality)])).
% cnf(4047,negated_conjecture,(frontsegP(esk51_0,esk51_0)|~ssList(esk51_0)),inference(spm,[status(thm)],[3000,4033,theory(equality)])).
% cnf(4048,negated_conjecture,(app(esk51_0,nil)=esk51_0),inference(rw,[status(thm)],[3935,4033,theory(equality)])).
% cnf(4055,negated_conjecture,(frontsegP(esk51_0,esk51_0)|$false),inference(rw,[status(thm)],[4047,589,theory(equality)])).
% cnf(4056,negated_conjecture,(frontsegP(esk51_0,esk51_0)),inference(cn,[status(thm)],[4055,theory(equality)])).
% cnf(4059,negated_conjecture,(frontsegP(app(esk51_0,X1),esk51_0)|~ssList(X1)|~ssList(esk51_0)),inference(spm,[status(thm)],[189,4056,theory(equality)])).
% cnf(4068,negated_conjecture,(frontsegP(app(esk51_0,X1),esk51_0)|~ssList(X1)|$false),inference(rw,[status(thm)],[4059,589,theory(equality)])).
% cnf(4069,negated_conjecture,(frontsegP(app(esk51_0,X1),esk51_0)|~ssList(X1)),inference(cn,[status(thm)],[4068,theory(equality)])).
% cnf(4079,negated_conjecture,(tl(esk51_0)=app(tl(esk51_0),nil)|nil=esk51_0|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[291,4048,theory(equality)])).
% cnf(4080,negated_conjecture,(app(esk51_0,X1)=app(esk51_0,app(nil,X1))|~ssList(X1)|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[240,4048,theory(equality)])).
% cnf(4114,negated_conjecture,(tl(esk51_0)=app(tl(esk51_0),nil)|nil=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[4079,110,theory(equality)])).
% cnf(4115,negated_conjecture,(tl(esk51_0)=app(tl(esk51_0),nil)|nil=esk51_0|$false|$false),inference(rw,[status(thm)],[4114,589,theory(equality)])).
% cnf(4116,negated_conjecture,(tl(esk51_0)=app(tl(esk51_0),nil)|nil=esk51_0),inference(cn,[status(thm)],[4115,theory(equality)])).
% cnf(4117,negated_conjecture,(app(tl(esk51_0),nil)=tl(esk51_0)),inference(sr,[status(thm)],[4116,1372,theory(equality)])).
% cnf(4118,negated_conjecture,(app(esk51_0,X1)=app(esk51_0,app(nil,X1))|~ssList(X1)|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[4080,110,theory(equality)])).
% cnf(4119,negated_conjecture,(app(esk51_0,X1)=app(esk51_0,app(nil,X1))|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[4118,589,theory(equality)])).
% cnf(4120,negated_conjecture,(app(esk51_0,X1)=app(esk51_0,app(nil,X1))|~ssList(X1)),inference(cn,[status(thm)],[4119,theory(equality)])).
% cnf(4347,negated_conjecture,(frontsegP(X1,esk51_0)|~frontsegP(X1,app(esk51_0,X2))|~ssList(esk51_0)|~ssList(app(esk51_0,X2))|~ssList(X1)|~ssList(X2)),inference(spm,[status(thm)],[114,4069,theory(equality)])).
% cnf(4360,negated_conjecture,(frontsegP(X1,esk51_0)|~frontsegP(X1,app(esk51_0,X2))|$false|~ssList(app(esk51_0,X2))|~ssList(X1)|~ssList(X2)),inference(rw,[status(thm)],[4347,589,theory(equality)])).
% cnf(4361,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)],[4360,theory(equality)])).
% cnf(4678,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)],[784,256])).
% cnf(4679,plain,(cons(hd(X1),tl(app(X1,X2)))=app(X1,X2)|nil=X1|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[4678,181])).
% cnf(4714,negated_conjecture,(cons(hd(esk51_0),tl(esk51_0))=esk51_0|nil=esk51_0|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[4679,4048,theory(equality)])).
% cnf(4742,negated_conjecture,(cons(hd(esk51_0),tl(esk51_0))=esk51_0|nil=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[4714,110,theory(equality)])).
% cnf(4743,negated_conjecture,(cons(hd(esk51_0),tl(esk51_0))=esk51_0|nil=esk51_0|$false|$false),inference(rw,[status(thm)],[4742,589,theory(equality)])).
% cnf(4744,negated_conjecture,(cons(hd(esk51_0),tl(esk51_0))=esk51_0|nil=esk51_0),inference(cn,[status(thm)],[4743,theory(equality)])).
% cnf(4745,negated_conjecture,(cons(hd(esk51_0),tl(esk51_0))=esk51_0),inference(sr,[status(thm)],[4744,1372,theory(equality)])).
% cnf(5604,negated_conjecture,(frontsegP(X1,esk51_0)|~frontsegP(X1,app(esk51_0,X2))|~ssList(X1)|~ssList(X2)|~ssList(esk51_0)),inference(spm,[status(thm)],[4361,256,theory(equality)])).
% cnf(5617,negated_conjecture,(frontsegP(X1,esk51_0)|~frontsegP(X1,app(esk51_0,X2))|~ssList(X1)|~ssList(X2)|$false),inference(rw,[status(thm)],[5604,589,theory(equality)])).
% cnf(5618,negated_conjecture,(frontsegP(X1,esk51_0)|~frontsegP(X1,app(esk51_0,X2))|~ssList(X1)|~ssList(X2)),inference(cn,[status(thm)],[5617,theory(equality)])).
% cnf(5675,negated_conjecture,(ssList(app(esk51_0,X1))|~ssList(app(nil,X1))|~ssList(esk51_0)|~ssList(X1)),inference(spm,[status(thm)],[256,4120,theory(equality)])).
% cnf(5684,negated_conjecture,(rearsegP(app(esk51_0,X1),nil)|~ssList(esk51_0)|~ssList(app(nil,X1))|~ssList(X1)),inference(spm,[status(thm)],[824,4120,theory(equality)])).
% cnf(5717,negated_conjecture,(ssList(app(esk51_0,X1))|~ssList(app(nil,X1))|$false|~ssList(X1)),inference(rw,[status(thm)],[5675,589,theory(equality)])).
% cnf(5718,negated_conjecture,(ssList(app(esk51_0,X1))|~ssList(app(nil,X1))|~ssList(X1)),inference(cn,[status(thm)],[5717,theory(equality)])).
% cnf(5739,negated_conjecture,(rearsegP(app(esk51_0,X1),nil)|$false|~ssList(app(nil,X1))|~ssList(X1)),inference(rw,[status(thm)],[5684,589,theory(equality)])).
% cnf(5740,negated_conjecture,(rearsegP(app(esk51_0,X1),nil)|~ssList(app(nil,X1))|~ssList(X1)),inference(cn,[status(thm)],[5739,theory(equality)])).
% cnf(5887,negated_conjecture,(ssList(app(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[5718,1596,theory(equality)])).
% cnf(5902,negated_conjecture,(ssList(app(esk51_0,esk51_0))|$false),inference(rw,[status(thm)],[5887,589,theory(equality)])).
% cnf(5903,negated_conjecture,(ssList(app(esk51_0,esk51_0))),inference(cn,[status(thm)],[5902,theory(equality)])).
% cnf(6905,negated_conjecture,(rearsegP(app(esk51_0,esk51_0),nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[5740,1596,theory(equality)])).
% cnf(6921,negated_conjecture,(rearsegP(app(esk51_0,esk51_0),nil)|$false),inference(rw,[status(thm)],[6905,589,theory(equality)])).
% cnf(6922,negated_conjecture,(rearsegP(app(esk51_0,esk51_0),nil)),inference(cn,[status(thm)],[6921,theory(equality)])).
% cnf(6933,negated_conjecture,(ssList(esk16_2(app(esk51_0,esk51_0),nil))|~ssList(nil)|~ssList(app(esk51_0,esk51_0))),inference(spm,[status(thm)],[423,6922,theory(equality)])).
% cnf(6934,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)],[422,6922,theory(equality)])).
% cnf(6938,negated_conjecture,(ssList(esk16_2(app(esk51_0,esk51_0),nil))|$false|~ssList(app(esk51_0,esk51_0))),inference(rw,[status(thm)],[6933,110,theory(equality)])).
% cnf(6939,negated_conjecture,(ssList(esk16_2(app(esk51_0,esk51_0),nil))|$false|$false),inference(rw,[status(thm)],[6938,5903,theory(equality)])).
% cnf(6940,negated_conjecture,(ssList(esk16_2(app(esk51_0,esk51_0),nil))),inference(cn,[status(thm)],[6939,theory(equality)])).
% cnf(6941,negated_conjecture,(app(esk16_2(app(esk51_0,esk51_0),nil),nil)=app(esk51_0,esk51_0)|$false|~ssList(app(esk51_0,esk51_0))),inference(rw,[status(thm)],[6934,110,theory(equality)])).
% cnf(6942,negated_conjecture,(app(esk16_2(app(esk51_0,esk51_0),nil),nil)=app(esk51_0,esk51_0)|$false|$false),inference(rw,[status(thm)],[6941,5903,theory(equality)])).
% cnf(6943,negated_conjecture,(app(esk16_2(app(esk51_0,esk51_0),nil),nil)=app(esk51_0,esk51_0)),inference(cn,[status(thm)],[6942,theory(equality)])).
% cnf(6995,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)],[185,6943,theory(equality)])).
% cnf(7073,negated_conjecture,(app(esk51_0,esk51_0)=esk16_2(app(esk51_0,esk51_0),nil)|$false),inference(rw,[status(thm)],[6995,6940,theory(equality)])).
% cnf(7074,negated_conjecture,(app(esk51_0,esk51_0)=esk16_2(app(esk51_0,esk51_0),nil)),inference(cn,[status(thm)],[7073,theory(equality)])).
% cnf(7252,negated_conjecture,(frontsegP(app(esk51_0,esk51_0),app(esk51_0,esk51_0))|~ssList(app(esk51_0,esk51_0))),inference(spm,[status(thm)],[3000,7074,theory(equality)])).
% cnf(7261,negated_conjecture,(frontsegP(app(esk51_0,esk51_0),app(esk51_0,esk51_0))|$false),inference(rw,[status(thm)],[7252,5903,theory(equality)])).
% cnf(7262,negated_conjecture,(frontsegP(app(esk51_0,esk51_0),app(esk51_0,esk51_0))),inference(cn,[status(thm)],[7261,theory(equality)])).
% cnf(7267,negated_conjecture,(frontsegP(app(esk51_0,esk51_0),esk51_0)|~ssList(app(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[5618,7262,theory(equality)])).
% cnf(7276,negated_conjecture,(frontsegP(app(esk51_0,esk51_0),esk51_0)|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[7267,5903,theory(equality)])).
% cnf(7277,negated_conjecture,(frontsegP(app(esk51_0,esk51_0),esk51_0)|$false|$false),inference(rw,[status(thm)],[7276,589,theory(equality)])).
% cnf(7278,negated_conjecture,(frontsegP(app(esk51_0,esk51_0),esk51_0)),inference(cn,[status(thm)],[7277,theory(equality)])).
% cnf(7279,negated_conjecture,(ssList(esk1_2(app(esk51_0,esk51_0),esk51_0))|~ssList(esk51_0)|~ssList(app(esk51_0,esk51_0))),inference(spm,[status(thm)],[162,7278,theory(equality)])).
% cnf(7281,negated_conjecture,(app(esk51_0,esk1_2(app(esk51_0,esk51_0),esk51_0))=app(esk51_0,esk51_0)|~ssList(esk51_0)|~ssList(app(esk51_0,esk51_0))),inference(spm,[status(thm)],[161,7278,theory(equality)])).
% cnf(7286,negated_conjecture,(ssList(esk1_2(app(esk51_0,esk51_0),esk51_0))|$false|~ssList(app(esk51_0,esk51_0))),inference(rw,[status(thm)],[7279,589,theory(equality)])).
% cnf(7287,negated_conjecture,(ssList(esk1_2(app(esk51_0,esk51_0),esk51_0))|$false|$false),inference(rw,[status(thm)],[7286,5903,theory(equality)])).
% cnf(7288,negated_conjecture,(ssList(esk1_2(app(esk51_0,esk51_0),esk51_0))),inference(cn,[status(thm)],[7287,theory(equality)])).
% cnf(7293,negated_conjecture,(app(esk51_0,esk1_2(app(esk51_0,esk51_0),esk51_0))=app(esk51_0,esk51_0)|$false|~ssList(app(esk51_0,esk51_0))),inference(rw,[status(thm)],[7281,589,theory(equality)])).
% cnf(7294,negated_conjecture,(app(esk51_0,esk1_2(app(esk51_0,esk51_0),esk51_0))=app(esk51_0,esk51_0)|$false|$false),inference(rw,[status(thm)],[7293,5903,theory(equality)])).
% cnf(7295,negated_conjecture,(app(esk51_0,esk1_2(app(esk51_0,esk51_0),esk51_0))=app(esk51_0,esk51_0)),inference(cn,[status(thm)],[7294,theory(equality)])).
% cnf(7358,negated_conjecture,(nil=esk51_0|app(esk51_0,esk51_0)!=nil|~ssList(esk1_2(app(esk51_0,esk51_0),esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[181,7295,theory(equality)])).
% cnf(7360,negated_conjecture,(hd(app(esk51_0,esk51_0))=hd(esk51_0)|nil=esk51_0|~ssList(esk1_2(app(esk51_0,esk51_0),esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[287,7295,theory(equality)])).
% cnf(7403,negated_conjecture,(nil=esk51_0|app(esk51_0,esk51_0)!=nil|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[7358,7288,theory(equality)])).
% cnf(7404,negated_conjecture,(nil=esk51_0|app(esk51_0,esk51_0)!=nil|$false|$false),inference(rw,[status(thm)],[7403,589,theory(equality)])).
% cnf(7405,negated_conjecture,(nil=esk51_0|app(esk51_0,esk51_0)!=nil),inference(cn,[status(thm)],[7404,theory(equality)])).
% cnf(7406,negated_conjecture,(app(esk51_0,esk51_0)!=nil),inference(sr,[status(thm)],[7405,1372,theory(equality)])).
% cnf(7411,negated_conjecture,(hd(app(esk51_0,esk51_0))=hd(esk51_0)|nil=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[7360,7288,theory(equality)])).
% cnf(7412,negated_conjecture,(hd(app(esk51_0,esk51_0))=hd(esk51_0)|nil=esk51_0|$false|$false),inference(rw,[status(thm)],[7411,589,theory(equality)])).
% cnf(7413,negated_conjecture,(hd(app(esk51_0,esk51_0))=hd(esk51_0)|nil=esk51_0),inference(cn,[status(thm)],[7412,theory(equality)])).
% cnf(7414,negated_conjecture,(hd(app(esk51_0,esk51_0))=hd(esk51_0)),inference(sr,[status(thm)],[7413,1372,theory(equality)])).
% cnf(7863,negated_conjecture,(nil=app(esk51_0,esk51_0)|ssItem(hd(esk51_0))|~ssList(app(esk51_0,esk51_0))),inference(spm,[status(thm)],[252,7414,theory(equality)])).
% cnf(7871,negated_conjecture,(nil=app(esk51_0,esk51_0)|ssItem(hd(esk51_0))|$false),inference(rw,[status(thm)],[7863,5903,theory(equality)])).
% cnf(7872,negated_conjecture,(nil=app(esk51_0,esk51_0)|ssItem(hd(esk51_0))),inference(cn,[status(thm)],[7871,theory(equality)])).
% cnf(7873,negated_conjecture,(ssItem(hd(esk51_0))),inference(sr,[status(thm)],[7872,7406,theory(equality)])).
% cnf(8327,plain,(app(X1,X2)=nil|nil=X1|ssList(app(tl(X1),X2))|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[840,256])).
% cnf(8328,plain,(nil=X1|ssList(app(tl(X1),X2))|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[8327,181])).
% cnf(8334,negated_conjecture,(nil=esk51_0|ssList(tl(esk51_0))|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[8328,4117,theory(equality)])).
% cnf(8337,negated_conjecture,(nil=esk51_0|ssList(tl(esk51_0))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[8334,110,theory(equality)])).
% cnf(8338,negated_conjecture,(nil=esk51_0|ssList(tl(esk51_0))|$false|$false),inference(rw,[status(thm)],[8337,589,theory(equality)])).
% cnf(8339,negated_conjecture,(nil=esk51_0|ssList(tl(esk51_0))),inference(cn,[status(thm)],[8338,theory(equality)])).
% cnf(8340,negated_conjecture,(ssList(tl(esk51_0))),inference(sr,[status(thm)],[8339,1372,theory(equality)])).
% cnf(20464,plain,(ssList(cons(X1,app(X2,X3)))|~ssItem(X1)|~ssList(X2)|~ssList(X3)),inference(csr,[status(thm)],[956,249])).
% cnf(20503,plain,(ssList(cons(X1,nil))|~ssItem(X1)|~ssList(nil)),inference(spm,[status(thm)],[20464,1457,theory(equality)])).
% cnf(20580,plain,(ssList(cons(X1,nil))|~ssItem(X1)|$false),inference(rw,[status(thm)],[20503,110,theory(equality)])).
% cnf(20581,plain,(ssList(cons(X1,nil))|~ssItem(X1)),inference(cn,[status(thm)],[20580,theory(equality)])).
% cnf(75763,plain,(frontsegP(cons(X1,X2),cons(X1,nil))|~ssItem(X1)|~ssList(X2)),inference(csr,[status(thm)],[3252,20581])).
% cnf(75795,negated_conjecture,(frontsegP(esk51_0,cons(hd(esk51_0),nil))|~ssItem(hd(esk51_0))|~ssList(tl(esk51_0))),inference(spm,[status(thm)],[75763,4745,theory(equality)])).
% cnf(75828,negated_conjecture,(frontsegP(esk51_0,cons(hd(esk51_0),nil))|$false|~ssList(tl(esk51_0))),inference(rw,[status(thm)],[75795,7873,theory(equality)])).
% cnf(75829,negated_conjecture,(frontsegP(esk51_0,cons(hd(esk51_0),nil))|$false|$false),inference(rw,[status(thm)],[75828,8340,theory(equality)])).
% cnf(75830,negated_conjecture,(frontsegP(esk51_0,cons(hd(esk51_0),nil))),inference(cn,[status(thm)],[75829,theory(equality)])).
% cnf(75850,negated_conjecture,(~totalorderedP(cons(hd(esk51_0),nil))|~neq(nil,cons(hd(esk51_0),nil))|~ssList(cons(hd(esk51_0),nil))),inference(spm,[status(thm)],[1736,75830,theory(equality)])).
% cnf(76815,negated_conjecture,(~neq(nil,cons(hd(esk51_0),nil))|~ssList(cons(hd(esk51_0),nil))|~ssItem(hd(esk51_0))),inference(spm,[status(thm)],[75850,217,theory(equality)])).
% cnf(76816,negated_conjecture,(~neq(nil,cons(hd(esk51_0),nil))|~ssList(cons(hd(esk51_0),nil))|$false),inference(rw,[status(thm)],[76815,7873,theory(equality)])).
% cnf(76817,negated_conjecture,(~neq(nil,cons(hd(esk51_0),nil))|~ssList(cons(hd(esk51_0),nil))),inference(cn,[status(thm)],[76816,theory(equality)])).
% cnf(76818,negated_conjecture,(~neq(nil,cons(hd(esk51_0),nil))|~ssItem(hd(esk51_0))|~ssList(nil)),inference(spm,[status(thm)],[76817,249,theory(equality)])).
% cnf(76820,negated_conjecture,(~neq(nil,cons(hd(esk51_0),nil))|$false|~ssList(nil)),inference(rw,[status(thm)],[76818,7873,theory(equality)])).
% cnf(76821,negated_conjecture,(~neq(nil,cons(hd(esk51_0),nil))|$false|$false),inference(rw,[status(thm)],[76820,110,theory(equality)])).
% cnf(76822,negated_conjecture,(~neq(nil,cons(hd(esk51_0),nil))),inference(cn,[status(thm)],[76821,theory(equality)])).
% cnf(76825,negated_conjecture,(nil=cons(hd(esk51_0),nil)|~ssList(cons(hd(esk51_0),nil))|~ssList(nil)),inference(spm,[status(thm)],[76822,108,theory(equality)])).
% cnf(76827,negated_conjecture,(nil=cons(hd(esk51_0),nil)|~ssList(cons(hd(esk51_0),nil))|$false),inference(rw,[status(thm)],[76825,110,theory(equality)])).
% cnf(76828,negated_conjecture,(nil=cons(hd(esk51_0),nil)|~ssList(cons(hd(esk51_0),nil))),inference(cn,[status(thm)],[76827,theory(equality)])).
% cnf(76829,negated_conjecture,(cons(hd(esk51_0),nil)=nil|~ssItem(hd(esk51_0))|~ssList(nil)),inference(spm,[status(thm)],[76828,249,theory(equality)])).
% cnf(76831,negated_conjecture,(cons(hd(esk51_0),nil)=nil|$false|~ssList(nil)),inference(rw,[status(thm)],[76829,7873,theory(equality)])).
% cnf(76832,negated_conjecture,(cons(hd(esk51_0),nil)=nil|$false|$false),inference(rw,[status(thm)],[76831,110,theory(equality)])).
% cnf(76833,negated_conjecture,(cons(hd(esk51_0),nil)=nil),inference(cn,[status(thm)],[76832,theory(equality)])).
% cnf(76836,negated_conjecture,(~ssItem(hd(esk51_0))|~ssList(nil)),inference(spm,[status(thm)],[228,76833,theory(equality)])).
% cnf(77101,negated_conjecture,($false|~ssList(nil)),inference(rw,[status(thm)],[76836,7873,theory(equality)])).
% cnf(77102,negated_conjecture,($false|$false),inference(rw,[status(thm)],[77101,110,theory(equality)])).
% cnf(77103,negated_conjecture,($false),inference(cn,[status(thm)],[77102,theory(equality)])).
% cnf(77104,negated_conjecture,($false),77103,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 6559
% # ...of these trivial : 76
% # ...subsumed : 4233
% # ...remaining for further processing: 2250
% # Other redundant clauses eliminated : 952
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 62
% # Backward-rewritten : 428
% # Generated clauses : 29929
% # ...of the previous two non-trivial : 25524
% # Contextual simplify-reflections : 2215
% # Paramodulations : 28685
% # Factorizations : 0
% # Equation resolutions : 1244
% # Current number of processed clauses: 1754
% # Positive orientable unit clauses: 333
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 55
% # Non-unit-clauses : 1366
% # Current number of unprocessed clauses: 17295
% # ...number of literals in the above : 118221
% # Clause-clause subsumption calls (NU) : 118511
% # Rec. Clause-clause subsumption calls : 71379
% # Unit Clause-clause subsumption calls : 484
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 361
% # Indexed BW rewrite successes : 82
% # Backwards rewriting index: 1413 leaves, 1.37+/-1.124 terms/leaf
% # Paramod-from index: 588 leaves, 1.22+/-0.839 terms/leaf
% # Paramod-into index: 1152 leaves, 1.30+/-1.017 terms/leaf
% # -------------------------------------------------
% # User time : 1.894 s
% # System time : 0.065 s
% # Total time : 1.959 s
% # Maximum resident set size: 0 pages
% PrfWatch: 3.07 CPU 3.19 WC
% FINAL PrfWatch: 3.07 CPU 3.19 WC
% SZS output end Solution for /tmp/SystemOnTPTP17329/SWC031+1.tptp
%
%------------------------------------------------------------------------------