TSTP Solution File: SWC078+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC078+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 : art09.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 06:59:56 EST 2010
% Result : Theorem 48.36s
% Output : Solution 48.36s
% 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/SystemOnTPTP19082/SWC078+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP19082/SWC078+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP19082/SWC078+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 19178
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.93 CPU 2.01 WC
% PrfWatch: 3.91 CPU 4.01 WC
% PrfWatch: 5.91 CPU 6.02 WC
% PrfWatch: 7.89 CPU 8.02 WC
% PrfWatch: 9.88 CPU 10.03 WC
% PrfWatch: 11.87 CPU 12.03 WC
% PrfWatch: 13.85 CPU 14.04 WC
% PrfWatch: 15.84 CPU 16.04 WC
% PrfWatch: 17.82 CPU 18.05 WC
% PrfWatch: 19.81 CPU 20.05 WC
% PrfWatch: 21.80 CPU 22.06 WC
% PrfWatch: 23.78 CPU 24.06 WC
% PrfWatch: 25.76 CPU 26.07 WC
% PrfWatch: 27.75 CPU 28.07 WC
% # Preprocessing time : 0.031 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 29.74 CPU 30.08 WC
% PrfWatch: 31.73 CPU 32.08 WC
% PrfWatch: 33.70 CPU 34.09 WC
% PrfWatch: 35.70 CPU 36.09 WC
% PrfWatch: 37.69 CPU 38.09 WC
% PrfWatch: 39.48 CPU 40.10 WC
% PrfWatch: 41.02 CPU 42.10 WC
% PrfWatch: 42.97 CPU 44.11 WC
% PrfWatch: 44.96 CPU 46.11 WC
% PrfWatch: 46.96 CPU 48.12 WC
% # SZS output start CNFRefutation.
% fof(3, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(neq(X1,X2)<=>~(X1=X2)))),file('/tmp/SRASS.s.p', ax15)).
% fof(4, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>ssList(cons(X2,X1)))),file('/tmp/SRASS.s.p', ax16)).
% fof(5, axiom,ssList(nil),file('/tmp/SRASS.s.p', ax17)).
% fof(9, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>~(nil=cons(X2,X1)))),file('/tmp/SRASS.s.p', ax21)).
% fof(10, axiom,![X1]:(ssItem(X1)=>![X2]:(ssItem(X2)=>![X3]:(ssList(X3)=>(memberP(cons(X2,X3),X1)<=>(X1=X2|memberP(X3,X1)))))),file('/tmp/SRASS.s.p', ax37)).
% fof(12, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>((segmentP(X1,X2)&segmentP(X2,X3))=>segmentP(X1,X3))))),file('/tmp/SRASS.s.p', ax53)).
% fof(14, axiom,![X1]:(ssList(X1)=>segmentP(X1,X1)),file('/tmp/SRASS.s.p', ax55)).
% fof(17, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>(memberP(X1,X2)<=>?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&app(X3,cons(X2,X4))=X1))))),file('/tmp/SRASS.s.p', ax3)).
% fof(18, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>cons(X2,X1)=app(cons(X2,nil),X1))),file('/tmp/SRASS.s.p', ax81)).
% fof(21, 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(23, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>hd(cons(X2,X1))=X2)),file('/tmp/SRASS.s.p', ax23)).
% fof(28, axiom,![X1]:(ssList(X1)=>app(nil,X1)=X1),file('/tmp/SRASS.s.p', ax28)).
% fof(30, axiom,![X1]:(ssList(X1)=>app(X1,nil)=X1),file('/tmp/SRASS.s.p', ax84)).
% fof(31, 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(39, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>ssList(tl(X1)))),file('/tmp/SRASS.s.p', ax24)).
% fof(41, axiom,![X1]:(ssList(X1)=>(rearsegP(nil,X1)<=>nil=X1)),file('/tmp/SRASS.s.p', ax52)).
% fof(45, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>cons(hd(X1),tl(X1))=X1)),file('/tmp/SRASS.s.p', ax78)).
% fof(48, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>ssList(app(X1,X2)))),file('/tmp/SRASS.s.p', ax26)).
% fof(63, 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(70, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>((frontsegP(X1,X2)&frontsegP(X2,X1))=>X1=X2))),file('/tmp/SRASS.s.p', ax41)).
% fof(78, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(frontsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X2,X3)=X1)))),file('/tmp/SRASS.s.p', ax5)).
% fof(79, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(~(nil=X1)=>hd(app(X1,X2))=hd(X1)))),file('/tmp/SRASS.s.p', ax85)).
% fof(88, 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(89, 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(92, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(rearsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X3,X2)=X1)))),file('/tmp/SRASS.s.p', ax6)).
% fof(96, conjecture,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(ssList(X4)=>((((~(X2=X4)|~(X1=X3))|?[X5]:(((ssList(X5)&neq(X5,nil))&segmentP(X2,X5))&segmentP(X1,X5)))|(nil=X2&nil=X1))|(![X6]:(ssItem(X6)=>(~(cons(X6,nil)=X3)|~(memberP(X4,X6))))&(~(nil=X4)|~(nil=X3)))))))),file('/tmp/SRASS.s.p', co1)).
% fof(97, negated_conjecture,~(![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(ssList(X4)=>((((~(X2=X4)|~(X1=X3))|?[X5]:(((ssList(X5)&neq(X5,nil))&segmentP(X2,X5))&segmentP(X1,X5)))|(nil=X2&nil=X1))|(![X6]:(ssItem(X6)=>(~(cons(X6,nil)=X3)|~(memberP(X4,X6))))&(~(nil=X4)|~(nil=X3))))))))),inference(assume_negation,[status(cth)],[96])).
% fof(103, negated_conjecture,~(![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(ssList(X4)=>((((~(X2=X4)|~(X1=X3))|?[X5]:(((ssList(X5)&neq(X5,nil))&segmentP(X2,X5))&segmentP(X1,X5)))|(nil=X2&nil=X1))|(![X6]:(ssItem(X6)=>(~(cons(X6,nil)=X3)|~(memberP(X4,X6))))&(~(nil=X4)|~(nil=X3))))))))),inference(fof_simplification,[status(thm)],[97,theory(equality)])).
% fof(115, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(neq(X1,X2))|~(X1=X2))&(X1=X2|neq(X1,X2))))),inference(fof_nnf,[status(thm)],[3])).
% fof(116, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))),inference(variable_rename,[status(thm)],[115])).
% fof(117, plain,![X3]:![X4]:((~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[116])).
% fof(118, 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)],[117])).
% cnf(119,plain,(neq(X1,X2)|X1=X2|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[118])).
% fof(121, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|ssList(cons(X2,X1)))),inference(fof_nnf,[status(thm)],[4])).
% fof(122, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|ssList(cons(X4,X3)))),inference(variable_rename,[status(thm)],[121])).
% fof(123, plain,![X3]:![X4]:((~(ssItem(X4))|ssList(cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[122])).
% cnf(124,plain,(ssList(cons(X2,X1))|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[123])).
% cnf(125,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[5])).
% fof(143, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|~(nil=cons(X2,X1)))),inference(fof_nnf,[status(thm)],[9])).
% fof(144, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|~(nil=cons(X4,X3)))),inference(variable_rename,[status(thm)],[143])).
% fof(145, plain,![X3]:![X4]:((~(ssItem(X4))|~(nil=cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[144])).
% cnf(146,plain,(~ssList(X1)|nil!=cons(X2,X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[145])).
% fof(147, plain,![X1]:(~(ssItem(X1))|![X2]:(~(ssItem(X2))|![X3]:(~(ssList(X3))|((~(memberP(cons(X2,X3),X1))|(X1=X2|memberP(X3,X1)))&((~(X1=X2)&~(memberP(X3,X1)))|memberP(cons(X2,X3),X1)))))),inference(fof_nnf,[status(thm)],[10])).
% fof(148, plain,![X4]:(~(ssItem(X4))|![X5]:(~(ssItem(X5))|![X6]:(~(ssList(X6))|((~(memberP(cons(X5,X6),X4))|(X4=X5|memberP(X6,X4)))&((~(X4=X5)&~(memberP(X6,X4)))|memberP(cons(X5,X6),X4)))))),inference(variable_rename,[status(thm)],[147])).
% fof(149, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|((~(memberP(cons(X5,X6),X4))|(X4=X5|memberP(X6,X4)))&((~(X4=X5)&~(memberP(X6,X4)))|memberP(cons(X5,X6),X4))))|~(ssItem(X5)))|~(ssItem(X4))),inference(shift_quantors,[status(thm)],[148])).
% fof(150, plain,![X4]:![X5]:![X6]:(((((~(memberP(cons(X5,X6),X4))|(X4=X5|memberP(X6,X4)))|~(ssList(X6)))|~(ssItem(X5)))|~(ssItem(X4)))&(((((~(X4=X5)|memberP(cons(X5,X6),X4))|~(ssList(X6)))|~(ssItem(X5)))|~(ssItem(X4)))&((((~(memberP(X6,X4))|memberP(cons(X5,X6),X4))|~(ssList(X6)))|~(ssItem(X5)))|~(ssItem(X4))))),inference(distribute,[status(thm)],[149])).
% cnf(152,plain,(memberP(cons(X2,X3),X1)|~ssItem(X1)|~ssItem(X2)|~ssList(X3)|X1!=X2),inference(split_conjunct,[status(thm)],[150])).
% fof(157, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|((~(segmentP(X1,X2))|~(segmentP(X2,X3)))|segmentP(X1,X3))))),inference(fof_nnf,[status(thm)],[12])).
% fof(158, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|((~(segmentP(X4,X5))|~(segmentP(X5,X6)))|segmentP(X4,X6))))),inference(variable_rename,[status(thm)],[157])).
% fof(159, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|((~(segmentP(X4,X5))|~(segmentP(X5,X6)))|segmentP(X4,X6)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[158])).
% cnf(160,plain,(segmentP(X1,X3)|~ssList(X1)|~ssList(X2)|~segmentP(X2,X3)|~segmentP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[159])).
% fof(165, plain,![X1]:(~(ssList(X1))|segmentP(X1,X1)),inference(fof_nnf,[status(thm)],[14])).
% fof(166, plain,![X2]:(~(ssList(X2))|segmentP(X2,X2)),inference(variable_rename,[status(thm)],[165])).
% cnf(167,plain,(segmentP(X1,X1)|~ssList(X1)),inference(split_conjunct,[status(thm)],[166])).
% fof(176, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|((~(memberP(X1,X2))|?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&app(X3,cons(X2,X4))=X1)))&(![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|~(app(X3,cons(X2,X4))=X1)))|memberP(X1,X2))))),inference(fof_nnf,[status(thm)],[17])).
% fof(177, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssItem(X6))|((~(memberP(X5,X6))|?[X7]:(ssList(X7)&?[X8]:(ssList(X8)&app(X7,cons(X6,X8))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(X9,cons(X6,X10))=X5)))|memberP(X5,X6))))),inference(variable_rename,[status(thm)],[176])).
% fof(178, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssItem(X6))|((~(memberP(X5,X6))|(ssList(esk5_2(X5,X6))&(ssList(esk6_2(X5,X6))&app(esk5_2(X5,X6),cons(X6,esk6_2(X5,X6)))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(X9,cons(X6,X10))=X5)))|memberP(X5,X6))))),inference(skolemize,[status(esa)],[177])).
% fof(179, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(X9,cons(X6,X10))=X5))|~(ssList(X9)))|memberP(X5,X6))&(~(memberP(X5,X6))|(ssList(esk5_2(X5,X6))&(ssList(esk6_2(X5,X6))&app(esk5_2(X5,X6),cons(X6,esk6_2(X5,X6)))=X5))))|~(ssItem(X6)))|~(ssList(X5))),inference(shift_quantors,[status(thm)],[178])).
% fof(180, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(X9,cons(X6,X10))=X5))|~(ssList(X9)))|memberP(X5,X6))|~(ssItem(X6)))|~(ssList(X5)))&((((ssList(esk5_2(X5,X6))|~(memberP(X5,X6)))|~(ssItem(X6)))|~(ssList(X5)))&((((ssList(esk6_2(X5,X6))|~(memberP(X5,X6)))|~(ssItem(X6)))|~(ssList(X5)))&(((app(esk5_2(X5,X6),cons(X6,esk6_2(X5,X6)))=X5|~(memberP(X5,X6)))|~(ssItem(X6)))|~(ssList(X5)))))),inference(distribute,[status(thm)],[179])).
% cnf(181,plain,(app(esk5_2(X1,X2),cons(X2,esk6_2(X1,X2)))=X1|~ssList(X1)|~ssItem(X2)|~memberP(X1,X2)),inference(split_conjunct,[status(thm)],[180])).
% cnf(182,plain,(ssList(esk6_2(X1,X2))|~ssList(X1)|~ssItem(X2)|~memberP(X1,X2)),inference(split_conjunct,[status(thm)],[180])).
% cnf(183,plain,(ssList(esk5_2(X1,X2))|~ssList(X1)|~ssItem(X2)|~memberP(X1,X2)),inference(split_conjunct,[status(thm)],[180])).
% fof(185, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|cons(X2,X1)=app(cons(X2,nil),X1))),inference(fof_nnf,[status(thm)],[18])).
% fof(186, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))),inference(variable_rename,[status(thm)],[185])).
% fof(187, plain,![X3]:![X4]:((~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[186])).
% cnf(188,plain,(cons(X2,X1)=app(cons(X2,nil),X1)|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[187])).
% fof(201, 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)],[21])).
% fof(202, 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)],[201])).
% fof(203, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|((~(segmentP(X5,X6))|(ssList(esk8_2(X5,X6))&(ssList(esk9_2(X5,X6))&app(app(esk8_2(X5,X6),X6),esk9_2(X5,X6))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(app(X9,X6),X10)=X5)))|segmentP(X5,X6))))),inference(skolemize,[status(esa)],[202])).
% fof(204, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(app(X9,X6),X10)=X5))|~(ssList(X9)))|segmentP(X5,X6))&(~(segmentP(X5,X6))|(ssList(esk8_2(X5,X6))&(ssList(esk9_2(X5,X6))&app(app(esk8_2(X5,X6),X6),esk9_2(X5,X6))=X5))))|~(ssList(X6)))|~(ssList(X5))),inference(shift_quantors,[status(thm)],[203])).
% fof(205, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(app(X9,X6),X10)=X5))|~(ssList(X9)))|segmentP(X5,X6))|~(ssList(X6)))|~(ssList(X5)))&((((ssList(esk8_2(X5,X6))|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))&((((ssList(esk9_2(X5,X6))|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))&(((app(app(esk8_2(X5,X6),X6),esk9_2(X5,X6))=X5|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))))),inference(distribute,[status(thm)],[204])).
% cnf(209,plain,(segmentP(X1,X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|app(app(X3,X2),X4)!=X1|~ssList(X4)),inference(split_conjunct,[status(thm)],[205])).
% fof(217, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|hd(cons(X2,X1))=X2)),inference(fof_nnf,[status(thm)],[23])).
% fof(218, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|hd(cons(X4,X3))=X4)),inference(variable_rename,[status(thm)],[217])).
% fof(219, plain,![X3]:![X4]:((~(ssItem(X4))|hd(cons(X4,X3))=X4)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[218])).
% cnf(220,plain,(hd(cons(X2,X1))=X2|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[219])).
% fof(241, plain,![X1]:(~(ssList(X1))|app(nil,X1)=X1),inference(fof_nnf,[status(thm)],[28])).
% fof(242, plain,![X2]:(~(ssList(X2))|app(nil,X2)=X2),inference(variable_rename,[status(thm)],[241])).
% cnf(243,plain,(app(nil,X1)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[242])).
% fof(251, plain,![X1]:(~(ssList(X1))|app(X1,nil)=X1),inference(fof_nnf,[status(thm)],[30])).
% fof(252, plain,![X2]:(~(ssList(X2))|app(X2,nil)=X2),inference(variable_rename,[status(thm)],[251])).
% cnf(253,plain,(app(X1,nil)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[252])).
% fof(254, 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)],[31])).
% fof(255, 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)],[254])).
% fof(256, 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)],[255])).
% cnf(257,plain,(segmentP(app(app(X3,X1),X4),X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~segmentP(X1,X2)|~ssList(X4)),inference(split_conjunct,[status(thm)],[256])).
% fof(279, plain,![X1]:(~(ssList(X1))|(nil=X1|ssList(tl(X1)))),inference(fof_nnf,[status(thm)],[39])).
% fof(280, plain,![X2]:(~(ssList(X2))|(nil=X2|ssList(tl(X2)))),inference(variable_rename,[status(thm)],[279])).
% cnf(281,plain,(ssList(tl(X1))|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[280])).
% fof(287, plain,![X1]:(~(ssList(X1))|((~(rearsegP(nil,X1))|nil=X1)&(~(nil=X1)|rearsegP(nil,X1)))),inference(fof_nnf,[status(thm)],[41])).
% fof(288, plain,![X2]:(~(ssList(X2))|((~(rearsegP(nil,X2))|nil=X2)&(~(nil=X2)|rearsegP(nil,X2)))),inference(variable_rename,[status(thm)],[287])).
% fof(289, plain,![X2]:(((~(rearsegP(nil,X2))|nil=X2)|~(ssList(X2)))&((~(nil=X2)|rearsegP(nil,X2))|~(ssList(X2)))),inference(distribute,[status(thm)],[288])).
% cnf(290,plain,(rearsegP(nil,X1)|~ssList(X1)|nil!=X1),inference(split_conjunct,[status(thm)],[289])).
% fof(323, plain,![X1]:(~(ssList(X1))|(nil=X1|cons(hd(X1),tl(X1))=X1)),inference(fof_nnf,[status(thm)],[45])).
% fof(324, plain,![X2]:(~(ssList(X2))|(nil=X2|cons(hd(X2),tl(X2))=X2)),inference(variable_rename,[status(thm)],[323])).
% cnf(325,plain,(cons(hd(X1),tl(X1))=X1|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[324])).
% fof(333, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|ssList(app(X1,X2)))),inference(fof_nnf,[status(thm)],[48])).
% fof(334, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|ssList(app(X3,X4)))),inference(variable_rename,[status(thm)],[333])).
% fof(335, plain,![X3]:![X4]:((~(ssList(X4))|ssList(app(X3,X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[334])).
% cnf(336,plain,(ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[335])).
% fof(366, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X2,X3)=app(X2,X1))|X3=X1)))),inference(fof_nnf,[status(thm)],[63])).
% fof(367, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4)))),inference(variable_rename,[status(thm)],[366])).
% fof(368, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[367])).
% cnf(369,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X2,X3)!=app(X2,X1)|~ssList(X3)),inference(split_conjunct,[status(thm)],[368])).
% fof(403, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(frontsegP(X1,X2))|~(frontsegP(X2,X1)))|X1=X2))),inference(fof_nnf,[status(thm)],[70])).
% fof(404, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(frontsegP(X3,X4))|~(frontsegP(X4,X3)))|X3=X4))),inference(variable_rename,[status(thm)],[403])).
% fof(405, plain,![X3]:![X4]:((~(ssList(X4))|((~(frontsegP(X3,X4))|~(frontsegP(X4,X3)))|X3=X4))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[404])).
% cnf(406,plain,(X1=X2|~ssList(X1)|~frontsegP(X2,X1)|~frontsegP(X1,X2)|~ssList(X2)),inference(split_conjunct,[status(thm)],[405])).
% fof(483, 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)],[78])).
% fof(484, 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)],[483])).
% fof(485, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(frontsegP(X4,X5))|(ssList(esk46_2(X4,X5))&app(X5,esk46_2(X4,X5))=X4))&(![X7]:(~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))))),inference(skolemize,[status(esa)],[484])).
% fof(486, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))&(~(frontsegP(X4,X5))|(ssList(esk46_2(X4,X5))&app(X5,esk46_2(X4,X5))=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[485])).
% fof(487, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk46_2(X4,X5))|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(X5,esk46_2(X4,X5))=X4|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[486])).
% cnf(488,plain,(app(X2,esk46_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[487])).
% cnf(489,plain,(ssList(esk46_2(X1,X2))|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[487])).
% cnf(490,plain,(frontsegP(X1,X2)|~ssList(X1)|~ssList(X2)|app(X2,X3)!=X1|~ssList(X3)),inference(split_conjunct,[status(thm)],[487])).
% fof(491, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|(nil=X1|hd(app(X1,X2))=hd(X1)))),inference(fof_nnf,[status(thm)],[79])).
% fof(492, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|(nil=X3|hd(app(X3,X4))=hd(X3)))),inference(variable_rename,[status(thm)],[491])).
% fof(493, plain,![X3]:![X4]:((~(ssList(X4))|(nil=X3|hd(app(X3,X4))=hd(X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[492])).
% cnf(494,plain,(hd(app(X1,X2))=hd(X1)|nil=X1|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[493])).
% fof(528, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(frontsegP(X1,X2))|frontsegP(app(X1,X3),X2))))),inference(fof_nnf,[status(thm)],[88])).
% fof(529, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(frontsegP(X4,X5))|frontsegP(app(X4,X6),X5))))),inference(variable_rename,[status(thm)],[528])).
% fof(530, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(frontsegP(X4,X5))|frontsegP(app(X4,X6),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[529])).
% cnf(531,plain,(frontsegP(app(X1,X3),X2)|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[530])).
% fof(532, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(rearsegP(X1,X2))|rearsegP(app(X3,X1),X2))))),inference(fof_nnf,[status(thm)],[89])).
% fof(533, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5))))),inference(variable_rename,[status(thm)],[532])).
% fof(534, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[533])).
% cnf(535,plain,(rearsegP(app(X3,X1),X2)|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[534])).
% fof(544, 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)],[92])).
% fof(545, 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)],[544])).
% fof(546, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(rearsegP(X4,X5))|(ssList(esk47_2(X4,X5))&app(esk47_2(X4,X5),X5)=X4))&(![X7]:(~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))))),inference(skolemize,[status(esa)],[545])).
% fof(547, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))&(~(rearsegP(X4,X5))|(ssList(esk47_2(X4,X5))&app(esk47_2(X4,X5),X5)=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[546])).
% fof(548, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk47_2(X4,X5))|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(esk47_2(X4,X5),X5)=X4|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[547])).
% cnf(549,plain,(app(esk47_2(X1,X2),X2)=X1|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[548])).
% cnf(550,plain,(ssList(esk47_2(X1,X2))|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[548])).
% cnf(551,plain,(rearsegP(X1,X2)|~ssList(X1)|~ssList(X2)|app(X3,X2)!=X1|~ssList(X3)),inference(split_conjunct,[status(thm)],[548])).
% fof(568, negated_conjecture,?[X1]:(ssList(X1)&?[X2]:(ssList(X2)&?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&((((X2=X4&X1=X3)&![X5]:(((~(ssList(X5))|~(neq(X5,nil)))|~(segmentP(X2,X5)))|~(segmentP(X1,X5))))&(~(nil=X2)|~(nil=X1)))&(?[X6]:(ssItem(X6)&(cons(X6,nil)=X3&memberP(X4,X6)))|(nil=X4&nil=X3))))))),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)&![X11]:(((~(ssList(X11))|~(neq(X11,nil)))|~(segmentP(X8,X11)))|~(segmentP(X7,X11))))&(~(nil=X8)|~(nil=X7)))&(?[X12]:(ssItem(X12)&(cons(X12,nil)=X9&memberP(X10,X12)))|(nil=X10&nil=X9))))))),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)&![X11]:(((~(ssList(X11))|~(neq(X11,nil)))|~(segmentP(esk49_0,X11)))|~(segmentP(esk48_0,X11))))&(~(nil=esk49_0)|~(nil=esk48_0)))&((ssItem(esk52_0)&(cons(esk52_0,nil)=esk50_0&memberP(esk51_0,esk52_0)))|(nil=esk51_0&nil=esk50_0))))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,![X11]:((((((((((~(ssList(X11))|~(neq(X11,nil)))|~(segmentP(esk49_0,X11)))|~(segmentP(esk48_0,X11)))&(esk49_0=esk51_0&esk48_0=esk50_0))&(~(nil=esk49_0)|~(nil=esk48_0)))&((ssItem(esk52_0)&(cons(esk52_0,nil)=esk50_0&memberP(esk51_0,esk52_0)))|(nil=esk51_0&nil=esk50_0)))&ssList(esk51_0))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(shift_quantors,[status(thm)],[570])).
% fof(572, negated_conjecture,![X11]:((((((((((~(ssList(X11))|~(neq(X11,nil)))|~(segmentP(esk49_0,X11)))|~(segmentP(esk48_0,X11)))&(esk49_0=esk51_0&esk48_0=esk50_0))&(~(nil=esk49_0)|~(nil=esk48_0)))&(((nil=esk51_0|ssItem(esk52_0))&(nil=esk50_0|ssItem(esk52_0)))&(((nil=esk51_0|cons(esk52_0,nil)=esk50_0)&(nil=esk50_0|cons(esk52_0,nil)=esk50_0))&((nil=esk51_0|memberP(esk51_0,esk52_0))&(nil=esk50_0|memberP(esk51_0,esk52_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,(memberP(esk51_0,esk52_0)|nil=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(579,negated_conjecture,(cons(esk52_0,nil)=esk50_0|nil=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(580,negated_conjecture,(cons(esk52_0,nil)=esk50_0|nil=esk51_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(581,negated_conjecture,(ssItem(esk52_0)|nil=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(582,negated_conjecture,(ssItem(esk52_0)|nil=esk51_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(583,negated_conjecture,(nil!=esk48_0|nil!=esk49_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(584,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(585,negated_conjecture,(esk49_0=esk51_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(586,negated_conjecture,(~segmentP(esk48_0,X1)|~segmentP(esk49_0,X1)|~neq(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[572])).
% cnf(587,negated_conjecture,(esk50_0!=nil|esk49_0!=nil),inference(rw,[status(thm)],[583,584,theory(equality)])).
% cnf(588,negated_conjecture,(esk50_0!=nil|esk51_0!=nil),inference(rw,[status(thm)],[587,585,theory(equality)])).
% cnf(589,negated_conjecture,(ssList(esk50_0)),inference(rw,[status(thm)],[573,584,theory(equality)])).
% cnf(590,negated_conjecture,(ssList(esk51_0)),inference(rw,[status(thm)],[574,585,theory(equality)])).
% cnf(597,negated_conjecture,(esk51_0=nil|esk50_0!=nil|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[146,580,theory(equality)])).
% cnf(600,negated_conjecture,(esk51_0=nil|esk50_0!=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[597,125,theory(equality)])).
% cnf(601,negated_conjecture,(esk51_0=nil|esk50_0!=nil|~ssItem(esk52_0)),inference(cn,[status(thm)],[600,theory(equality)])).
% cnf(616,negated_conjecture,(~ssList(X1)|~neq(X1,nil)|~segmentP(esk50_0,X1)|~segmentP(esk49_0,X1)),inference(rw,[status(thm)],[586,584,theory(equality)])).
% cnf(617,negated_conjecture,(~ssList(X1)|~neq(X1,nil)|~segmentP(esk50_0,X1)|~segmentP(esk51_0,X1)),inference(rw,[status(thm)],[616,585,theory(equality)])).
% cnf(619,negated_conjecture,(~segmentP(esk51_0,esk50_0)|~ssList(esk50_0)|~neq(esk50_0,nil)),inference(spm,[status(thm)],[617,167,theory(equality)])).
% cnf(623,negated_conjecture,(~segmentP(esk51_0,esk50_0)|$false|~neq(esk50_0,nil)),inference(rw,[status(thm)],[619,589,theory(equality)])).
% cnf(624,negated_conjecture,(~segmentP(esk51_0,esk50_0)|~neq(esk50_0,nil)),inference(cn,[status(thm)],[623,theory(equality)])).
% cnf(634,plain,(rearsegP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[290,theory(equality)])).
% cnf(635,plain,(rearsegP(nil,nil)|$false),inference(rw,[status(thm)],[634,125,theory(equality)])).
% cnf(636,plain,(rearsegP(nil,nil)),inference(cn,[status(thm)],[635,theory(equality)])).
% cnf(766,plain,(memberP(cons(X1,X2),X1)|~ssList(X2)|~ssItem(X1)),inference(er,[status(thm)],[152,theory(equality)])).
% cnf(845,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)|~ssList(app(X1,X2))),inference(er,[status(thm)],[490,theory(equality)])).
% cnf(858,plain,(rearsegP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)|~ssList(app(X1,X2))),inference(er,[status(thm)],[551,theory(equality)])).
% cnf(968,plain,(segmentP(X1,X2)|app(X3,X2)!=X1|~ssList(nil)|~ssList(X3)|~ssList(X2)|~ssList(X1)|~ssList(app(X3,X2))),inference(spm,[status(thm)],[209,253,theory(equality)])).
% cnf(973,plain,(segmentP(X1,X2)|app(X3,X2)!=X1|$false|~ssList(X3)|~ssList(X2)|~ssList(X1)|~ssList(app(X3,X2))),inference(rw,[status(thm)],[968,125,theory(equality)])).
% cnf(974,plain,(segmentP(X1,X2)|app(X3,X2)!=X1|~ssList(X3)|~ssList(X2)|~ssList(X1)|~ssList(app(X3,X2))),inference(cn,[status(thm)],[973,theory(equality)])).
% cnf(1075,plain,(segmentP(app(app(X1,X2),X3),X2)|~ssList(X3)|~ssList(X1)|~ssList(X2)),inference(spm,[status(thm)],[257,167,theory(equality)])).
% cnf(1542,negated_conjecture,(esk51_0=nil|esk50_0!=nil),inference(csr,[status(thm)],[601,582])).
% cnf(1543,negated_conjecture,(esk50_0!=nil),inference(csr,[status(thm)],[1542,588])).
% cnf(1544,negated_conjecture,(ssItem(esk52_0)),inference(sr,[status(thm)],[581,1543,theory(equality)])).
% cnf(1545,negated_conjecture,(cons(esk52_0,nil)=esk50_0),inference(sr,[status(thm)],[579,1543,theory(equality)])).
% cnf(1546,negated_conjecture,(memberP(esk51_0,esk52_0)),inference(sr,[status(thm)],[577,1543,theory(equality)])).
% cnf(1553,negated_conjecture,(hd(esk50_0)=esk52_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[220,1545,theory(equality)])).
% cnf(1584,negated_conjecture,(app(esk50_0,X1)=cons(esk52_0,X1)|~ssList(X1)|~ssItem(esk52_0)),inference(spm,[status(thm)],[188,1545,theory(equality)])).
% cnf(1596,negated_conjecture,(hd(esk50_0)=esk52_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1553,125,theory(equality)])).
% cnf(1597,negated_conjecture,(hd(esk50_0)=esk52_0|$false|$false),inference(rw,[status(thm)],[1596,1544,theory(equality)])).
% cnf(1598,negated_conjecture,(hd(esk50_0)=esk52_0),inference(cn,[status(thm)],[1597,theory(equality)])).
% cnf(1682,negated_conjecture,(app(esk50_0,X1)=cons(esk52_0,X1)|~ssList(X1)|$false),inference(rw,[status(thm)],[1584,1544,theory(equality)])).
% cnf(1683,negated_conjecture,(app(esk50_0,X1)=cons(esk52_0,X1)|~ssList(X1)),inference(cn,[status(thm)],[1682,theory(equality)])).
% cnf(1689,negated_conjecture,(ssList(esk5_2(esk51_0,esk52_0))|~ssList(esk51_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[183,1546,theory(equality)])).
% cnf(1690,negated_conjecture,(ssList(esk6_2(esk51_0,esk52_0))|~ssList(esk51_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[182,1546,theory(equality)])).
% cnf(1691,negated_conjecture,(app(esk5_2(esk51_0,esk52_0),cons(esk52_0,esk6_2(esk51_0,esk52_0)))=esk51_0|~ssList(esk51_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[181,1546,theory(equality)])).
% cnf(1695,negated_conjecture,(ssList(esk5_2(esk51_0,esk52_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1689,590,theory(equality)])).
% cnf(1696,negated_conjecture,(ssList(esk5_2(esk51_0,esk52_0))|$false|$false),inference(rw,[status(thm)],[1695,1544,theory(equality)])).
% cnf(1697,negated_conjecture,(ssList(esk5_2(esk51_0,esk52_0))),inference(cn,[status(thm)],[1696,theory(equality)])).
% cnf(1698,negated_conjecture,(ssList(esk6_2(esk51_0,esk52_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1690,590,theory(equality)])).
% cnf(1699,negated_conjecture,(ssList(esk6_2(esk51_0,esk52_0))|$false|$false),inference(rw,[status(thm)],[1698,1544,theory(equality)])).
% cnf(1700,negated_conjecture,(ssList(esk6_2(esk51_0,esk52_0))),inference(cn,[status(thm)],[1699,theory(equality)])).
% cnf(1701,negated_conjecture,(app(esk5_2(esk51_0,esk52_0),cons(esk52_0,esk6_2(esk51_0,esk52_0)))=esk51_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1691,590,theory(equality)])).
% cnf(1702,negated_conjecture,(app(esk5_2(esk51_0,esk52_0),cons(esk52_0,esk6_2(esk51_0,esk52_0)))=esk51_0|$false|$false),inference(rw,[status(thm)],[1701,1544,theory(equality)])).
% cnf(1703,negated_conjecture,(app(esk5_2(esk51_0,esk52_0),cons(esk52_0,esk6_2(esk51_0,esk52_0)))=esk51_0),inference(cn,[status(thm)],[1702,theory(equality)])).
% cnf(1727,plain,(rearsegP(app(X1,nil),nil)|~ssList(X1)|~ssList(nil)),inference(spm,[status(thm)],[535,636,theory(equality)])).
% cnf(1733,plain,(rearsegP(app(X1,nil),nil)|~ssList(X1)|$false),inference(rw,[status(thm)],[1727,125,theory(equality)])).
% cnf(1734,plain,(rearsegP(app(X1,nil),nil)|~ssList(X1)),inference(cn,[status(thm)],[1733,theory(equality)])).
% cnf(2210,negated_conjecture,(ssList(cons(esk52_0,X1))|~ssList(X1)|~ssList(esk50_0)),inference(spm,[status(thm)],[336,1683,theory(equality)])).
% cnf(2251,negated_conjecture,(ssList(cons(esk52_0,X1))|~ssList(X1)|$false),inference(rw,[status(thm)],[2210,589,theory(equality)])).
% cnf(2252,negated_conjecture,(ssList(cons(esk52_0,X1))|~ssList(X1)),inference(cn,[status(thm)],[2251,theory(equality)])).
% cnf(3084,negated_conjecture,(rearsegP(cons(esk52_0,nil),nil)|~ssList(esk50_0)|~ssList(nil)),inference(spm,[status(thm)],[1734,1683,theory(equality)])).
% cnf(3101,negated_conjecture,(rearsegP(esk50_0,nil)|~ssList(esk50_0)|~ssList(nil)),inference(rw,[status(thm)],[3084,1545,theory(equality)])).
% cnf(3102,negated_conjecture,(rearsegP(esk50_0,nil)|$false|~ssList(nil)),inference(rw,[status(thm)],[3101,589,theory(equality)])).
% cnf(3103,negated_conjecture,(rearsegP(esk50_0,nil)|$false|$false),inference(rw,[status(thm)],[3102,125,theory(equality)])).
% cnf(3104,negated_conjecture,(rearsegP(esk50_0,nil)),inference(cn,[status(thm)],[3103,theory(equality)])).
% cnf(3117,negated_conjecture,(ssList(esk47_2(esk50_0,nil))|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[550,3104,theory(equality)])).
% cnf(3118,negated_conjecture,(app(esk47_2(esk50_0,nil),nil)=esk50_0|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[549,3104,theory(equality)])).
% cnf(3122,negated_conjecture,(ssList(esk47_2(esk50_0,nil))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[3117,125,theory(equality)])).
% cnf(3123,negated_conjecture,(ssList(esk47_2(esk50_0,nil))|$false|$false),inference(rw,[status(thm)],[3122,589,theory(equality)])).
% cnf(3124,negated_conjecture,(ssList(esk47_2(esk50_0,nil))),inference(cn,[status(thm)],[3123,theory(equality)])).
% cnf(3125,negated_conjecture,(app(esk47_2(esk50_0,nil),nil)=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[3118,125,theory(equality)])).
% cnf(3126,negated_conjecture,(app(esk47_2(esk50_0,nil),nil)=esk50_0|$false|$false),inference(rw,[status(thm)],[3125,589,theory(equality)])).
% cnf(3127,negated_conjecture,(app(esk47_2(esk50_0,nil),nil)=esk50_0),inference(cn,[status(thm)],[3126,theory(equality)])).
% cnf(3151,negated_conjecture,(esk50_0=esk47_2(esk50_0,nil)|~ssList(esk47_2(esk50_0,nil))),inference(spm,[status(thm)],[253,3127,theory(equality)])).
% cnf(3196,negated_conjecture,(esk50_0=esk47_2(esk50_0,nil)|$false),inference(rw,[status(thm)],[3151,3124,theory(equality)])).
% cnf(3197,negated_conjecture,(esk50_0=esk47_2(esk50_0,nil)),inference(cn,[status(thm)],[3196,theory(equality)])).
% cnf(3213,negated_conjecture,(app(esk50_0,nil)=esk50_0),inference(rw,[status(thm)],[3127,3197,theory(equality)])).
% cnf(3221,negated_conjecture,(frontsegP(X1,esk50_0)|esk50_0!=X1|~ssList(nil)|~ssList(esk50_0)|~ssList(X1)),inference(spm,[status(thm)],[490,3213,theory(equality)])).
% cnf(3224,negated_conjecture,(X1=nil|app(esk50_0,X1)!=esk50_0|~ssList(nil)|~ssList(esk50_0)|~ssList(X1)),inference(spm,[status(thm)],[369,3213,theory(equality)])).
% cnf(3247,negated_conjecture,(frontsegP(X1,esk50_0)|esk50_0!=X1|$false|~ssList(esk50_0)|~ssList(X1)),inference(rw,[status(thm)],[3221,125,theory(equality)])).
% cnf(3248,negated_conjecture,(frontsegP(X1,esk50_0)|esk50_0!=X1|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[3247,589,theory(equality)])).
% cnf(3249,negated_conjecture,(frontsegP(X1,esk50_0)|esk50_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[3248,theory(equality)])).
% cnf(3256,negated_conjecture,(X1=nil|app(esk50_0,X1)!=esk50_0|$false|~ssList(esk50_0)|~ssList(X1)),inference(rw,[status(thm)],[3224,125,theory(equality)])).
% cnf(3257,negated_conjecture,(X1=nil|app(esk50_0,X1)!=esk50_0|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[3256,589,theory(equality)])).
% cnf(3258,negated_conjecture,(X1=nil|app(esk50_0,X1)!=esk50_0|~ssList(X1)),inference(cn,[status(thm)],[3257,theory(equality)])).
% cnf(3296,negated_conjecture,(frontsegP(esk50_0,esk50_0)|~ssList(esk50_0)),inference(er,[status(thm)],[3249,theory(equality)])).
% cnf(3297,negated_conjecture,(frontsegP(esk50_0,esk50_0)|$false),inference(rw,[status(thm)],[3296,589,theory(equality)])).
% cnf(3298,negated_conjecture,(frontsegP(esk50_0,esk50_0)),inference(cn,[status(thm)],[3297,theory(equality)])).
% cnf(3301,negated_conjecture,(frontsegP(app(esk50_0,X1),esk50_0)|~ssList(X1)|~ssList(esk50_0)),inference(spm,[status(thm)],[531,3298,theory(equality)])).
% cnf(3307,negated_conjecture,(frontsegP(app(esk50_0,X1),esk50_0)|~ssList(X1)|$false),inference(rw,[status(thm)],[3301,589,theory(equality)])).
% cnf(3308,negated_conjecture,(frontsegP(app(esk50_0,X1),esk50_0)|~ssList(X1)),inference(cn,[status(thm)],[3307,theory(equality)])).
% cnf(3877,negated_conjecture,(frontsegP(cons(esk52_0,X1),esk50_0)|~ssList(X1)),inference(spm,[status(thm)],[3308,1683,theory(equality)])).
% cnf(4592,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[766,1545,theory(equality)])).
% cnf(4599,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[4592,125,theory(equality)])).
% cnf(4600,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|$false),inference(rw,[status(thm)],[4599,1544,theory(equality)])).
% cnf(4601,negated_conjecture,(memberP(esk50_0,esk52_0)),inference(cn,[status(thm)],[4600,theory(equality)])).
% cnf(4604,negated_conjecture,(ssList(esk5_2(esk50_0,esk52_0))|~ssList(esk50_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[183,4601,theory(equality)])).
% cnf(4605,negated_conjecture,(ssList(esk6_2(esk50_0,esk52_0))|~ssList(esk50_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[182,4601,theory(equality)])).
% cnf(4606,negated_conjecture,(app(esk5_2(esk50_0,esk52_0),cons(esk52_0,esk6_2(esk50_0,esk52_0)))=esk50_0|~ssList(esk50_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[181,4601,theory(equality)])).
% cnf(4610,negated_conjecture,(ssList(esk5_2(esk50_0,esk52_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[4604,589,theory(equality)])).
% cnf(4611,negated_conjecture,(ssList(esk5_2(esk50_0,esk52_0))|$false|$false),inference(rw,[status(thm)],[4610,1544,theory(equality)])).
% cnf(4612,negated_conjecture,(ssList(esk5_2(esk50_0,esk52_0))),inference(cn,[status(thm)],[4611,theory(equality)])).
% cnf(4613,negated_conjecture,(ssList(esk6_2(esk50_0,esk52_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[4605,589,theory(equality)])).
% cnf(4614,negated_conjecture,(ssList(esk6_2(esk50_0,esk52_0))|$false|$false),inference(rw,[status(thm)],[4613,1544,theory(equality)])).
% cnf(4615,negated_conjecture,(ssList(esk6_2(esk50_0,esk52_0))),inference(cn,[status(thm)],[4614,theory(equality)])).
% cnf(4616,negated_conjecture,(app(esk5_2(esk50_0,esk52_0),cons(esk52_0,esk6_2(esk50_0,esk52_0)))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[4606,589,theory(equality)])).
% cnf(4617,negated_conjecture,(app(esk5_2(esk50_0,esk52_0),cons(esk52_0,esk6_2(esk50_0,esk52_0)))=esk50_0|$false|$false),inference(rw,[status(thm)],[4616,1544,theory(equality)])).
% cnf(4618,negated_conjecture,(app(esk5_2(esk50_0,esk52_0),cons(esk52_0,esk6_2(esk50_0,esk52_0)))=esk50_0),inference(cn,[status(thm)],[4617,theory(equality)])).
% cnf(4659,negated_conjecture,(hd(esk50_0)=hd(esk5_2(esk50_0,esk52_0))|nil=esk5_2(esk50_0,esk52_0)|~ssList(cons(esk52_0,esk6_2(esk50_0,esk52_0)))|~ssList(esk5_2(esk50_0,esk52_0))),inference(spm,[status(thm)],[494,4618,theory(equality)])).
% cnf(4682,negated_conjecture,(esk52_0=hd(esk5_2(esk50_0,esk52_0))|nil=esk5_2(esk50_0,esk52_0)|~ssList(cons(esk52_0,esk6_2(esk50_0,esk52_0)))|~ssList(esk5_2(esk50_0,esk52_0))),inference(rw,[status(thm)],[4659,1598,theory(equality)])).
% cnf(4683,negated_conjecture,(esk52_0=hd(esk5_2(esk50_0,esk52_0))|nil=esk5_2(esk50_0,esk52_0)|~ssList(cons(esk52_0,esk6_2(esk50_0,esk52_0)))|$false),inference(rw,[status(thm)],[4682,4612,theory(equality)])).
% cnf(4684,negated_conjecture,(esk52_0=hd(esk5_2(esk50_0,esk52_0))|nil=esk5_2(esk50_0,esk52_0)|~ssList(cons(esk52_0,esk6_2(esk50_0,esk52_0)))),inference(cn,[status(thm)],[4683,theory(equality)])).
% cnf(5379,negated_conjecture,(hd(esk5_2(esk50_0,esk52_0))=esk52_0|esk5_2(esk50_0,esk52_0)=nil|~ssList(esk6_2(esk50_0,esk52_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[4684,124,theory(equality)])).
% cnf(5381,negated_conjecture,(hd(esk5_2(esk50_0,esk52_0))=esk52_0|esk5_2(esk50_0,esk52_0)=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[5379,4615,theory(equality)])).
% cnf(5382,negated_conjecture,(hd(esk5_2(esk50_0,esk52_0))=esk52_0|esk5_2(esk50_0,esk52_0)=nil|$false|$false),inference(rw,[status(thm)],[5381,1544,theory(equality)])).
% cnf(5383,negated_conjecture,(hd(esk5_2(esk50_0,esk52_0))=esk52_0|esk5_2(esk50_0,esk52_0)=nil),inference(cn,[status(thm)],[5382,theory(equality)])).
% cnf(5387,negated_conjecture,(cons(esk52_0,tl(esk5_2(esk50_0,esk52_0)))=esk5_2(esk50_0,esk52_0)|nil=esk5_2(esk50_0,esk52_0)|~ssList(esk5_2(esk50_0,esk52_0))),inference(spm,[status(thm)],[325,5383,theory(equality)])).
% cnf(5395,negated_conjecture,(cons(esk52_0,tl(esk5_2(esk50_0,esk52_0)))=esk5_2(esk50_0,esk52_0)|nil=esk5_2(esk50_0,esk52_0)|$false),inference(rw,[status(thm)],[5387,4612,theory(equality)])).
% cnf(5396,negated_conjecture,(cons(esk52_0,tl(esk5_2(esk50_0,esk52_0)))=esk5_2(esk50_0,esk52_0)|nil=esk5_2(esk50_0,esk52_0)),inference(cn,[status(thm)],[5395,theory(equality)])).
% cnf(5851,negated_conjecture,(frontsegP(esk5_2(esk50_0,esk52_0),esk50_0)|esk5_2(esk50_0,esk52_0)=nil|~ssList(tl(esk5_2(esk50_0,esk52_0)))),inference(spm,[status(thm)],[3877,5396,theory(equality)])).
% cnf(6055,negated_conjecture,(esk5_2(esk50_0,esk52_0)=nil|frontsegP(esk5_2(esk50_0,esk52_0),esk50_0)|~ssList(esk5_2(esk50_0,esk52_0))),inference(spm,[status(thm)],[5851,281,theory(equality)])).
% cnf(6056,negated_conjecture,(esk5_2(esk50_0,esk52_0)=nil|frontsegP(esk5_2(esk50_0,esk52_0),esk50_0)|$false),inference(rw,[status(thm)],[6055,4612,theory(equality)])).
% cnf(6057,negated_conjecture,(esk5_2(esk50_0,esk52_0)=nil|frontsegP(esk5_2(esk50_0,esk52_0),esk50_0)),inference(cn,[status(thm)],[6056,theory(equality)])).
% cnf(6059,negated_conjecture,(esk50_0=esk5_2(esk50_0,esk52_0)|esk5_2(esk50_0,esk52_0)=nil|~frontsegP(esk50_0,esk5_2(esk50_0,esk52_0))|~ssList(esk5_2(esk50_0,esk52_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[406,6057,theory(equality)])).
% cnf(6066,negated_conjecture,(esk50_0=esk5_2(esk50_0,esk52_0)|esk5_2(esk50_0,esk52_0)=nil|~frontsegP(esk50_0,esk5_2(esk50_0,esk52_0))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[6059,4612,theory(equality)])).
% cnf(6067,negated_conjecture,(esk50_0=esk5_2(esk50_0,esk52_0)|esk5_2(esk50_0,esk52_0)=nil|~frontsegP(esk50_0,esk5_2(esk50_0,esk52_0))|$false|$false),inference(rw,[status(thm)],[6066,589,theory(equality)])).
% cnf(6068,negated_conjecture,(esk50_0=esk5_2(esk50_0,esk52_0)|esk5_2(esk50_0,esk52_0)=nil|~frontsegP(esk50_0,esk5_2(esk50_0,esk52_0))),inference(cn,[status(thm)],[6067,theory(equality)])).
% cnf(6317,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[845,336])).
% cnf(6328,negated_conjecture,(frontsegP(esk50_0,esk5_2(esk50_0,esk52_0))|~ssList(cons(esk52_0,esk6_2(esk50_0,esk52_0)))|~ssList(esk5_2(esk50_0,esk52_0))),inference(spm,[status(thm)],[6317,4618,theory(equality)])).
% cnf(6355,negated_conjecture,(frontsegP(esk50_0,esk5_2(esk50_0,esk52_0))|~ssList(cons(esk52_0,esk6_2(esk50_0,esk52_0)))|$false),inference(rw,[status(thm)],[6328,4612,theory(equality)])).
% cnf(6356,negated_conjecture,(frontsegP(esk50_0,esk5_2(esk50_0,esk52_0))|~ssList(cons(esk52_0,esk6_2(esk50_0,esk52_0)))),inference(cn,[status(thm)],[6355,theory(equality)])).
% cnf(6488,negated_conjecture,(frontsegP(esk50_0,esk5_2(esk50_0,esk52_0))|~ssList(esk6_2(esk50_0,esk52_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[6356,124,theory(equality)])).
% cnf(6490,negated_conjecture,(frontsegP(esk50_0,esk5_2(esk50_0,esk52_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[6488,4615,theory(equality)])).
% cnf(6491,negated_conjecture,(frontsegP(esk50_0,esk5_2(esk50_0,esk52_0))|$false|$false),inference(rw,[status(thm)],[6490,1544,theory(equality)])).
% cnf(6492,negated_conjecture,(frontsegP(esk50_0,esk5_2(esk50_0,esk52_0))),inference(cn,[status(thm)],[6491,theory(equality)])).
% cnf(6501,negated_conjecture,(esk5_2(esk50_0,esk52_0)=nil|esk5_2(esk50_0,esk52_0)=esk50_0|$false),inference(rw,[status(thm)],[6068,6492,theory(equality)])).
% cnf(6502,negated_conjecture,(esk5_2(esk50_0,esk52_0)=nil|esk5_2(esk50_0,esk52_0)=esk50_0),inference(cn,[status(thm)],[6501,theory(equality)])).
% cnf(6521,negated_conjecture,(app(esk50_0,cons(esk52_0,esk6_2(esk50_0,esk52_0)))=esk50_0|esk5_2(esk50_0,esk52_0)=nil),inference(spm,[status(thm)],[4618,6502,theory(equality)])).
% cnf(6674,negated_conjecture,(cons(esk52_0,esk6_2(esk50_0,esk52_0))=nil|esk5_2(esk50_0,esk52_0)=nil|~ssList(cons(esk52_0,esk6_2(esk50_0,esk52_0)))),inference(spm,[status(thm)],[3258,6521,theory(equality)])).
% cnf(6739,negated_conjecture,(cons(esk52_0,esk6_2(esk50_0,esk52_0))=nil|esk5_2(esk50_0,esk52_0)=nil|~ssList(esk6_2(esk50_0,esk52_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[6674,124,theory(equality)])).
% cnf(6741,negated_conjecture,(cons(esk52_0,esk6_2(esk50_0,esk52_0))=nil|esk5_2(esk50_0,esk52_0)=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[6739,4615,theory(equality)])).
% cnf(6742,negated_conjecture,(cons(esk52_0,esk6_2(esk50_0,esk52_0))=nil|esk5_2(esk50_0,esk52_0)=nil|$false|$false),inference(rw,[status(thm)],[6741,1544,theory(equality)])).
% cnf(6743,negated_conjecture,(cons(esk52_0,esk6_2(esk50_0,esk52_0))=nil|esk5_2(esk50_0,esk52_0)=nil),inference(cn,[status(thm)],[6742,theory(equality)])).
% cnf(6752,negated_conjecture,(esk5_2(esk50_0,esk52_0)=nil|~ssList(esk6_2(esk50_0,esk52_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[146,6743,theory(equality)])).
% cnf(6832,negated_conjecture,(esk5_2(esk50_0,esk52_0)=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[6752,4615,theory(equality)])).
% cnf(6833,negated_conjecture,(esk5_2(esk50_0,esk52_0)=nil|$false|$false),inference(rw,[status(thm)],[6832,1544,theory(equality)])).
% cnf(6834,negated_conjecture,(esk5_2(esk50_0,esk52_0)=nil),inference(cn,[status(thm)],[6833,theory(equality)])).
% cnf(6998,negated_conjecture,(frontsegP(esk50_0,nil)),inference(rw,[status(thm)],[6492,6834,theory(equality)])).
% cnf(7029,negated_conjecture,(ssList(esk46_2(esk50_0,nil))|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[489,6998,theory(equality)])).
% cnf(7031,negated_conjecture,(app(nil,esk46_2(esk50_0,nil))=esk50_0|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[488,6998,theory(equality)])).
% cnf(7034,negated_conjecture,(ssList(esk46_2(esk50_0,nil))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[7029,125,theory(equality)])).
% cnf(7035,negated_conjecture,(ssList(esk46_2(esk50_0,nil))|$false|$false),inference(rw,[status(thm)],[7034,589,theory(equality)])).
% cnf(7036,negated_conjecture,(ssList(esk46_2(esk50_0,nil))),inference(cn,[status(thm)],[7035,theory(equality)])).
% cnf(7041,negated_conjecture,(app(nil,esk46_2(esk50_0,nil))=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[7031,125,theory(equality)])).
% cnf(7042,negated_conjecture,(app(nil,esk46_2(esk50_0,nil))=esk50_0|$false|$false),inference(rw,[status(thm)],[7041,589,theory(equality)])).
% cnf(7043,negated_conjecture,(app(nil,esk46_2(esk50_0,nil))=esk50_0),inference(cn,[status(thm)],[7042,theory(equality)])).
% cnf(7066,negated_conjecture,(esk50_0=esk46_2(esk50_0,nil)|~ssList(esk46_2(esk50_0,nil))),inference(spm,[status(thm)],[243,7043,theory(equality)])).
% cnf(7111,negated_conjecture,(esk50_0=esk46_2(esk50_0,nil)|$false),inference(rw,[status(thm)],[7066,7036,theory(equality)])).
% cnf(7112,negated_conjecture,(esk50_0=esk46_2(esk50_0,nil)),inference(cn,[status(thm)],[7111,theory(equality)])).
% cnf(7120,negated_conjecture,(app(nil,esk50_0)=esk50_0),inference(rw,[status(thm)],[7043,7112,theory(equality)])).
% cnf(7203,plain,(rearsegP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)),inference(csr,[status(thm)],[858,336])).
% cnf(7213,negated_conjecture,(rearsegP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))|~ssList(esk5_2(esk51_0,esk52_0))|~ssList(cons(esk52_0,esk6_2(esk51_0,esk52_0)))),inference(spm,[status(thm)],[7203,1703,theory(equality)])).
% cnf(7239,negated_conjecture,(rearsegP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))|$false|~ssList(cons(esk52_0,esk6_2(esk51_0,esk52_0)))),inference(rw,[status(thm)],[7213,1697,theory(equality)])).
% cnf(7240,negated_conjecture,(rearsegP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))|~ssList(cons(esk52_0,esk6_2(esk51_0,esk52_0)))),inference(cn,[status(thm)],[7239,theory(equality)])).
% cnf(7828,negated_conjecture,(rearsegP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))|~ssList(esk6_2(esk51_0,esk52_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[7240,124,theory(equality)])).
% cnf(7830,negated_conjecture,(rearsegP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[7828,1700,theory(equality)])).
% cnf(7831,negated_conjecture,(rearsegP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))|$false|$false),inference(rw,[status(thm)],[7830,1544,theory(equality)])).
% cnf(7832,negated_conjecture,(rearsegP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))),inference(cn,[status(thm)],[7831,theory(equality)])).
% cnf(7835,negated_conjecture,(ssList(esk47_2(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0))))|~ssList(cons(esk52_0,esk6_2(esk51_0,esk52_0)))|~ssList(esk51_0)),inference(spm,[status(thm)],[550,7832,theory(equality)])).
% cnf(7836,negated_conjecture,(app(esk47_2(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0))),cons(esk52_0,esk6_2(esk51_0,esk52_0)))=esk51_0|~ssList(cons(esk52_0,esk6_2(esk51_0,esk52_0)))|~ssList(esk51_0)),inference(spm,[status(thm)],[549,7832,theory(equality)])).
% cnf(7841,negated_conjecture,(ssList(esk47_2(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0))))|~ssList(cons(esk52_0,esk6_2(esk51_0,esk52_0)))|$false),inference(rw,[status(thm)],[7835,590,theory(equality)])).
% cnf(7842,negated_conjecture,(ssList(esk47_2(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0))))|~ssList(cons(esk52_0,esk6_2(esk51_0,esk52_0)))),inference(cn,[status(thm)],[7841,theory(equality)])).
% cnf(7843,negated_conjecture,(app(esk47_2(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0))),cons(esk52_0,esk6_2(esk51_0,esk52_0)))=esk51_0|~ssList(cons(esk52_0,esk6_2(esk51_0,esk52_0)))|$false),inference(rw,[status(thm)],[7836,590,theory(equality)])).
% cnf(7844,negated_conjecture,(app(esk47_2(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0))),cons(esk52_0,esk6_2(esk51_0,esk52_0)))=esk51_0|~ssList(cons(esk52_0,esk6_2(esk51_0,esk52_0)))),inference(cn,[status(thm)],[7843,theory(equality)])).
% cnf(7852,negated_conjecture,(ssList(esk47_2(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0))))|~ssList(esk6_2(esk51_0,esk52_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[7842,124,theory(equality)])).
% cnf(7854,negated_conjecture,(ssList(esk47_2(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0))))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[7852,1700,theory(equality)])).
% cnf(7855,negated_conjecture,(ssList(esk47_2(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0))))|$false|$false),inference(rw,[status(thm)],[7854,1544,theory(equality)])).
% cnf(7856,negated_conjecture,(ssList(esk47_2(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0))))),inference(cn,[status(thm)],[7855,theory(equality)])).
% cnf(13935,plain,(segmentP(X1,X2)|app(X3,X2)!=X1|~ssList(X3)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[974,336])).
% cnf(13936,plain,(segmentP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)|~ssList(app(X1,X2))),inference(er,[status(thm)],[13935,theory(equality)])).
% cnf(20685,negated_conjecture,(segmentP(app(esk50_0,X1),esk50_0)|~ssList(X1)|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[1075,7120,theory(equality)])).
% cnf(20751,negated_conjecture,(segmentP(app(esk50_0,X1),esk50_0)|~ssList(X1)|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[20685,125,theory(equality)])).
% cnf(20752,negated_conjecture,(segmentP(app(esk50_0,X1),esk50_0)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[20751,589,theory(equality)])).
% cnf(20753,negated_conjecture,(segmentP(app(esk50_0,X1),esk50_0)|~ssList(X1)),inference(cn,[status(thm)],[20752,theory(equality)])).
% cnf(21215,negated_conjecture,(segmentP(cons(esk52_0,X1),esk50_0)|~ssList(X1)),inference(spm,[status(thm)],[20753,1683,theory(equality)])).
% cnf(21243,negated_conjecture,(segmentP(X1,esk50_0)|~segmentP(X1,cons(esk52_0,X2))|~ssList(esk50_0)|~ssList(cons(esk52_0,X2))|~ssList(X1)|~ssList(X2)),inference(spm,[status(thm)],[160,21215,theory(equality)])).
% cnf(21265,negated_conjecture,(segmentP(X1,esk50_0)|~segmentP(X1,cons(esk52_0,X2))|$false|~ssList(cons(esk52_0,X2))|~ssList(X1)|~ssList(X2)),inference(rw,[status(thm)],[21243,589,theory(equality)])).
% cnf(21266,negated_conjecture,(segmentP(X1,esk50_0)|~segmentP(X1,cons(esk52_0,X2))|~ssList(cons(esk52_0,X2))|~ssList(X1)|~ssList(X2)),inference(cn,[status(thm)],[21265,theory(equality)])).
% cnf(298444,negated_conjecture,(app(esk47_2(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0))),cons(esk52_0,esk6_2(esk51_0,esk52_0)))=esk51_0|~ssList(esk6_2(esk51_0,esk52_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[7844,124,theory(equality)])).
% cnf(298446,negated_conjecture,(app(esk47_2(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0))),cons(esk52_0,esk6_2(esk51_0,esk52_0)))=esk51_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[298444,1700,theory(equality)])).
% cnf(298447,negated_conjecture,(app(esk47_2(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0))),cons(esk52_0,esk6_2(esk51_0,esk52_0)))=esk51_0|$false|$false),inference(rw,[status(thm)],[298446,1544,theory(equality)])).
% cnf(298448,negated_conjecture,(app(esk47_2(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0))),cons(esk52_0,esk6_2(esk51_0,esk52_0)))=esk51_0),inference(cn,[status(thm)],[298447,theory(equality)])).
% cnf(502172,plain,(segmentP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)),inference(csr,[status(thm)],[13936,336])).
% cnf(502308,negated_conjecture,(segmentP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))|~ssList(esk47_2(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0))))|~ssList(cons(esk52_0,esk6_2(esk51_0,esk52_0)))),inference(spm,[status(thm)],[502172,298448,theory(equality)])).
% cnf(502778,negated_conjecture,(segmentP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))|$false|~ssList(cons(esk52_0,esk6_2(esk51_0,esk52_0)))),inference(rw,[status(thm)],[502308,7856,theory(equality)])).
% cnf(502779,negated_conjecture,(segmentP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))|~ssList(cons(esk52_0,esk6_2(esk51_0,esk52_0)))),inference(cn,[status(thm)],[502778,theory(equality)])).
% cnf(503161,negated_conjecture,(segmentP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))|~ssList(esk6_2(esk51_0,esk52_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[502779,124,theory(equality)])).
% cnf(503163,negated_conjecture,(segmentP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[503161,1700,theory(equality)])).
% cnf(503164,negated_conjecture,(segmentP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))|$false|$false),inference(rw,[status(thm)],[503163,1544,theory(equality)])).
% cnf(503165,negated_conjecture,(segmentP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))),inference(cn,[status(thm)],[503164,theory(equality)])).
% cnf(1147886,negated_conjecture,(segmentP(X1,esk50_0)|~segmentP(X1,cons(esk52_0,X2))|~ssList(X1)|~ssList(X2)),inference(csr,[status(thm)],[21266,2252])).
% cnf(1147912,negated_conjecture,(segmentP(esk51_0,esk50_0)|~ssList(esk51_0)|~ssList(esk6_2(esk51_0,esk52_0))),inference(spm,[status(thm)],[1147886,503165,theory(equality)])).
% cnf(1148076,negated_conjecture,(segmentP(esk51_0,esk50_0)|$false|~ssList(esk6_2(esk51_0,esk52_0))),inference(rw,[status(thm)],[1147912,590,theory(equality)])).
% cnf(1148077,negated_conjecture,(segmentP(esk51_0,esk50_0)|$false|$false),inference(rw,[status(thm)],[1148076,1700,theory(equality)])).
% cnf(1148078,negated_conjecture,(segmentP(esk51_0,esk50_0)),inference(cn,[status(thm)],[1148077,theory(equality)])).
% cnf(1148547,negated_conjecture,($false|~neq(esk50_0,nil)),inference(rw,[status(thm)],[624,1148078,theory(equality)])).
% cnf(1148548,negated_conjecture,(~neq(esk50_0,nil)),inference(cn,[status(thm)],[1148547,theory(equality)])).
% cnf(1148572,negated_conjecture,(esk50_0=nil|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[1148548,119,theory(equality)])).
% cnf(1148574,negated_conjecture,(esk50_0=nil|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[1148572,125,theory(equality)])).
% cnf(1148575,negated_conjecture,(esk50_0=nil|$false|$false),inference(rw,[status(thm)],[1148574,589,theory(equality)])).
% cnf(1148576,negated_conjecture,(esk50_0=nil),inference(cn,[status(thm)],[1148575,theory(equality)])).
% cnf(1148577,negated_conjecture,($false),inference(sr,[status(thm)],[1148576,1543,theory(equality)])).
% cnf(1148578,negated_conjecture,($false),1148577,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 34630
% # ...of these trivial : 539
% # ...subsumed : 23483
% # ...remaining for further processing: 10608
% # Other redundant clauses eliminated : 2279
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 504
% # Backward-rewritten : 2264
% # Generated clauses : 368580
% # ...of the previous two non-trivial : 336481
% # Contextual simplify-reflections : 8186
% # Paramodulations : 365525
% # Factorizations : 1
% # Equation resolutions : 3040
% # Current number of processed clauses: 7822
% # Positive orientable unit clauses: 1954
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 671
% # Non-unit-clauses : 5197
% # Current number of unprocessed clauses: 236622
% # ...number of literals in the above : 1589331
% # Clause-clause subsumption calls (NU) : 1309745
% # Rec. Clause-clause subsumption calls : 721631
% # Unit Clause-clause subsumption calls : 102015
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 47750
% # Indexed BW rewrite successes : 404
% # Backwards rewriting index: 2817 leaves, 2.91+/-7.438 terms/leaf
% # Paramod-from index: 1089 leaves, 2.97+/-8.267 terms/leaf
% # Paramod-into index: 2202 leaves, 3.06+/-8.090 terms/leaf
% # -------------------------------------------------
% # User time : 28.120 s
% # System time : 0.855 s
% # Total time : 28.975 s
% # Maximum resident set size: 0 pages
% PrfWatch: 47.12 CPU 48.30 WC
% FINAL PrfWatch: 47.12 CPU 48.30 WC
% SZS output end Solution for /tmp/SystemOnTPTP19082/SWC078+1.tptp
%
%------------------------------------------------------------------------------