TSTP Solution File: SWC115+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC115+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 07:05:40 EST 2010
% Result : Theorem 48.74s
% Output : Solution 48.74s
% 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/SystemOnTPTP22712/SWC115+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP22712/SWC115+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP22712/SWC115+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 22808
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.93 CPU 2.01 WC
% PrfWatch: 3.92 CPU 4.01 WC
% PrfWatch: 5.91 CPU 6.02 WC
% PrfWatch: 7.90 CPU 8.02 WC
% PrfWatch: 9.89 CPU 10.03 WC
% PrfWatch: 11.88 CPU 12.03 WC
% PrfWatch: 13.85 CPU 14.04 WC
% PrfWatch: 15.85 CPU 16.04 WC
% PrfWatch: 17.83 CPU 18.05 WC
% PrfWatch: 19.82 CPU 20.05 WC
% PrfWatch: 21.81 CPU 22.06 WC
% PrfWatch: 23.78 CPU 24.06 WC
% PrfWatch: 25.78 CPU 26.07 WC
% PrfWatch: 27.75 CPU 28.07 WC
% # Preprocessing time : 0.032 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: 33.71 CPU 34.09 WC
% PrfWatch: 35.70 CPU 36.09 WC
% PrfWatch: 37.70 CPU 38.10 WC
% PrfWatch: 39.69 CPU 40.10 WC
% PrfWatch: 41.68 CPU 42.10 WC
% PrfWatch: 43.68 CPU 44.11 WC
% PrfWatch: 45.67 CPU 46.11 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(13, 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(15, 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(17, axiom,![X1]:(ssList(X1)=>segmentP(X1,X1)),file('/tmp/SRASS.s.p', ax55)).
% fof(20, 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(21, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>cons(X2,X1)=app(cons(X2,nil),X1))),file('/tmp/SRASS.s.p', ax81)).
% fof(24, 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(26, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>hd(cons(X2,X1))=X2)),file('/tmp/SRASS.s.p', ax23)).
% fof(33, axiom,![X1]:(ssList(X1)=>app(nil,X1)=X1),file('/tmp/SRASS.s.p', ax28)).
% fof(35, axiom,![X1]:(ssList(X1)=>app(X1,nil)=X1),file('/tmp/SRASS.s.p', ax84)).
% fof(37, 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(48, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>ssList(tl(X1)))),file('/tmp/SRASS.s.p', ax24)).
% fof(50, axiom,![X1]:(ssList(X1)=>(rearsegP(nil,X1)<=>nil=X1)),file('/tmp/SRASS.s.p', ax52)).
% fof(56, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>cons(hd(X1),tl(X1))=X1)),file('/tmp/SRASS.s.p', ax78)).
% fof(58, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>ssList(app(X1,X2)))),file('/tmp/SRASS.s.p', ax26)).
% fof(75, 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(82, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>((frontsegP(X1,X2)&frontsegP(X2,X1))=>X1=X2))),file('/tmp/SRASS.s.p', ax41)).
% fof(87, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(frontsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X2,X3)=X1)))),file('/tmp/SRASS.s.p', ax5)).
% fof(88, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(~(nil=X1)=>hd(app(X1,X2))=hd(X1)))),file('/tmp/SRASS.s.p', ax85)).
% fof(90, 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(91, 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(94, 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))|(nil=X2&nil=X1))|(![X5]:(ssItem(X5)=>((~(cons(X5,nil)=X3)|~(memberP(X4,X5)))|?[X6]:(((ssItem(X6)&~(X5=X6))&memberP(X4,X6))&leq(X6,X5))))&(~(nil=X4)|~(nil=X3))))|(neq(X1,nil)&segmentP(X2,X1))))))),file('/tmp/SRASS.s.p', co1)).
% fof(97, negated_conjecture,~(![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(ssList(X4)=>((((~(X2=X4)|~(X1=X3))|(nil=X2&nil=X1))|(![X5]:(ssItem(X5)=>((~(cons(X5,nil)=X3)|~(memberP(X4,X5)))|?[X6]:(((ssItem(X6)&~(X5=X6))&memberP(X4,X6))&leq(X6,X5))))&(~(nil=X4)|~(nil=X3))))|(neq(X1,nil)&segmentP(X2,X1)))))))),inference(assume_negation,[status(cth)],[96])).
% fof(103, negated_conjecture,~(![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(ssList(X4)=>((((~(X2=X4)|~(X1=X3))|(nil=X2&nil=X1))|(![X5]:(ssItem(X5)=>((~(cons(X5,nil)=X3)|~(memberP(X4,X5)))|?[X6]:(((ssItem(X6)&~(X5=X6))&memberP(X4,X6))&leq(X6,X5))))&(~(nil=X4)|~(nil=X3))))|(neq(X1,nil)&segmentP(X2,X1)))))))),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(158, 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)],[13])).
% fof(159, 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)],[158])).
% fof(160, 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)],[159])).
% fof(161, 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)],[160])).
% cnf(163,plain,(memberP(cons(X2,X3),X1)|~ssItem(X1)|~ssItem(X2)|~ssList(X3)|X1!=X2),inference(split_conjunct,[status(thm)],[161])).
% fof(168, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|((~(segmentP(X1,X2))|~(segmentP(X2,X3)))|segmentP(X1,X3))))),inference(fof_nnf,[status(thm)],[15])).
% fof(169, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|((~(segmentP(X4,X5))|~(segmentP(X5,X6)))|segmentP(X4,X6))))),inference(variable_rename,[status(thm)],[168])).
% fof(170, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|((~(segmentP(X4,X5))|~(segmentP(X5,X6)))|segmentP(X4,X6)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[169])).
% cnf(171,plain,(segmentP(X1,X3)|~ssList(X1)|~ssList(X2)|~segmentP(X2,X3)|~segmentP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[170])).
% fof(176, plain,![X1]:(~(ssList(X1))|segmentP(X1,X1)),inference(fof_nnf,[status(thm)],[17])).
% fof(177, plain,![X2]:(~(ssList(X2))|segmentP(X2,X2)),inference(variable_rename,[status(thm)],[176])).
% cnf(178,plain,(segmentP(X1,X1)|~ssList(X1)),inference(split_conjunct,[status(thm)],[177])).
% fof(187, 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)],[20])).
% fof(188, 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)],[187])).
% fof(189, 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)],[188])).
% fof(190, 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)],[189])).
% fof(191, 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)],[190])).
% cnf(192,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)],[191])).
% cnf(193,plain,(ssList(esk6_2(X1,X2))|~ssList(X1)|~ssItem(X2)|~memberP(X1,X2)),inference(split_conjunct,[status(thm)],[191])).
% cnf(194,plain,(ssList(esk5_2(X1,X2))|~ssList(X1)|~ssItem(X2)|~memberP(X1,X2)),inference(split_conjunct,[status(thm)],[191])).
% fof(196, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|cons(X2,X1)=app(cons(X2,nil),X1))),inference(fof_nnf,[status(thm)],[21])).
% fof(197, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))),inference(variable_rename,[status(thm)],[196])).
% fof(198, plain,![X3]:![X4]:((~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[197])).
% cnf(199,plain,(cons(X2,X1)=app(cons(X2,nil),X1)|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[198])).
% fof(212, 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)],[24])).
% fof(213, 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)],[212])).
% fof(214, 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)],[213])).
% fof(215, 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)],[214])).
% fof(216, 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)],[215])).
% cnf(220,plain,(segmentP(X1,X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|app(app(X3,X2),X4)!=X1|~ssList(X4)),inference(split_conjunct,[status(thm)],[216])).
% fof(228, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|hd(cons(X2,X1))=X2)),inference(fof_nnf,[status(thm)],[26])).
% fof(229, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|hd(cons(X4,X3))=X4)),inference(variable_rename,[status(thm)],[228])).
% fof(230, plain,![X3]:![X4]:((~(ssItem(X4))|hd(cons(X4,X3))=X4)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[229])).
% cnf(231,plain,(hd(cons(X2,X1))=X2|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[230])).
% fof(263, plain,![X1]:(~(ssList(X1))|app(nil,X1)=X1),inference(fof_nnf,[status(thm)],[33])).
% fof(264, plain,![X2]:(~(ssList(X2))|app(nil,X2)=X2),inference(variable_rename,[status(thm)],[263])).
% cnf(265,plain,(app(nil,X1)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[264])).
% fof(273, plain,![X1]:(~(ssList(X1))|app(X1,nil)=X1),inference(fof_nnf,[status(thm)],[35])).
% fof(274, plain,![X2]:(~(ssList(X2))|app(X2,nil)=X2),inference(variable_rename,[status(thm)],[273])).
% cnf(275,plain,(app(X1,nil)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[274])).
% fof(285, 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)],[37])).
% fof(286, 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)],[285])).
% fof(287, 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)],[286])).
% cnf(288,plain,(segmentP(app(app(X3,X1),X4),X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~segmentP(X1,X2)|~ssList(X4)),inference(split_conjunct,[status(thm)],[287])).
% fof(351, plain,![X1]:(~(ssList(X1))|(nil=X1|ssList(tl(X1)))),inference(fof_nnf,[status(thm)],[48])).
% fof(352, plain,![X2]:(~(ssList(X2))|(nil=X2|ssList(tl(X2)))),inference(variable_rename,[status(thm)],[351])).
% cnf(353,plain,(ssList(tl(X1))|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[352])).
% fof(359, plain,![X1]:(~(ssList(X1))|((~(rearsegP(nil,X1))|nil=X1)&(~(nil=X1)|rearsegP(nil,X1)))),inference(fof_nnf,[status(thm)],[50])).
% fof(360, plain,![X2]:(~(ssList(X2))|((~(rearsegP(nil,X2))|nil=X2)&(~(nil=X2)|rearsegP(nil,X2)))),inference(variable_rename,[status(thm)],[359])).
% fof(361, plain,![X2]:(((~(rearsegP(nil,X2))|nil=X2)|~(ssList(X2)))&((~(nil=X2)|rearsegP(nil,X2))|~(ssList(X2)))),inference(distribute,[status(thm)],[360])).
% cnf(362,plain,(rearsegP(nil,X1)|~ssList(X1)|nil!=X1),inference(split_conjunct,[status(thm)],[361])).
% fof(405, plain,![X1]:(~(ssList(X1))|(nil=X1|cons(hd(X1),tl(X1))=X1)),inference(fof_nnf,[status(thm)],[56])).
% fof(406, plain,![X2]:(~(ssList(X2))|(nil=X2|cons(hd(X2),tl(X2))=X2)),inference(variable_rename,[status(thm)],[405])).
% cnf(407,plain,(cons(hd(X1),tl(X1))=X1|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[406])).
% fof(411, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|ssList(app(X1,X2)))),inference(fof_nnf,[status(thm)],[58])).
% fof(412, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|ssList(app(X3,X4)))),inference(variable_rename,[status(thm)],[411])).
% fof(413, plain,![X3]:![X4]:((~(ssList(X4))|ssList(app(X3,X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[412])).
% cnf(414,plain,(ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[413])).
% fof(452, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X2,X3)=app(X2,X1))|X3=X1)))),inference(fof_nnf,[status(thm)],[75])).
% fof(453, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4)))),inference(variable_rename,[status(thm)],[452])).
% fof(454, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[453])).
% cnf(455,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X2,X3)!=app(X2,X1)|~ssList(X3)),inference(split_conjunct,[status(thm)],[454])).
% fof(483, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(frontsegP(X1,X2))|~(frontsegP(X2,X1)))|X1=X2))),inference(fof_nnf,[status(thm)],[82])).
% fof(484, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(frontsegP(X3,X4))|~(frontsegP(X4,X3)))|X3=X4))),inference(variable_rename,[status(thm)],[483])).
% fof(485, plain,![X3]:![X4]:((~(ssList(X4))|((~(frontsegP(X3,X4))|~(frontsegP(X4,X3)))|X3=X4))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[484])).
% cnf(486,plain,(X1=X2|~ssList(X1)|~frontsegP(X2,X1)|~frontsegP(X1,X2)|~ssList(X2)),inference(split_conjunct,[status(thm)],[485])).
% fof(522, 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)],[87])).
% fof(523, 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)],[522])).
% fof(524, 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)],[523])).
% fof(525, 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)],[524])).
% fof(526, 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)],[525])).
% cnf(527,plain,(app(X2,esk46_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[526])).
% cnf(528,plain,(ssList(esk46_2(X1,X2))|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[526])).
% cnf(529,plain,(frontsegP(X1,X2)|~ssList(X1)|~ssList(X2)|app(X2,X3)!=X1|~ssList(X3)),inference(split_conjunct,[status(thm)],[526])).
% fof(530, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|(nil=X1|hd(app(X1,X2))=hd(X1)))),inference(fof_nnf,[status(thm)],[88])).
% fof(531, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|(nil=X3|hd(app(X3,X4))=hd(X3)))),inference(variable_rename,[status(thm)],[530])).
% fof(532, plain,![X3]:![X4]:((~(ssList(X4))|(nil=X3|hd(app(X3,X4))=hd(X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[531])).
% cnf(533,plain,(hd(app(X1,X2))=hd(X1)|nil=X1|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[532])).
% fof(538, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(frontsegP(X1,X2))|frontsegP(app(X1,X3),X2))))),inference(fof_nnf,[status(thm)],[90])).
% fof(539, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(frontsegP(X4,X5))|frontsegP(app(X4,X6),X5))))),inference(variable_rename,[status(thm)],[538])).
% fof(540, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(frontsegP(X4,X5))|frontsegP(app(X4,X6),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[539])).
% cnf(541,plain,(frontsegP(app(X1,X3),X2)|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[540])).
% fof(542, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(rearsegP(X1,X2))|rearsegP(app(X3,X1),X2))))),inference(fof_nnf,[status(thm)],[91])).
% fof(543, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5))))),inference(variable_rename,[status(thm)],[542])).
% fof(544, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[543])).
% cnf(545,plain,(rearsegP(app(X3,X1),X2)|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[544])).
% fof(554, 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)],[94])).
% fof(555, 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)],[554])).
% fof(556, 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)],[555])).
% fof(557, 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)],[556])).
% fof(558, 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)],[557])).
% cnf(559,plain,(app(esk47_2(X1,X2),X2)=X1|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[558])).
% cnf(560,plain,(ssList(esk47_2(X1,X2))|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[558])).
% cnf(561,plain,(rearsegP(X1,X2)|~ssList(X1)|~ssList(X2)|app(X3,X2)!=X1|~ssList(X3)),inference(split_conjunct,[status(thm)],[558])).
% fof(568, negated_conjecture,?[X1]:(ssList(X1)&?[X2]:(ssList(X2)&?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&((((X2=X4&X1=X3)&(~(nil=X2)|~(nil=X1)))&(?[X5]:(ssItem(X5)&((cons(X5,nil)=X3&memberP(X4,X5))&![X6]:(((~(ssItem(X6))|X5=X6)|~(memberP(X4,X6)))|~(leq(X6,X5)))))|(nil=X4&nil=X3)))&(~(neq(X1,nil))|~(segmentP(X2,X1)))))))),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)&(~(nil=X8)|~(nil=X7)))&(?[X11]:(ssItem(X11)&((cons(X11,nil)=X9&memberP(X10,X11))&![X12]:(((~(ssItem(X12))|X11=X12)|~(memberP(X10,X12)))|~(leq(X12,X11)))))|(nil=X10&nil=X9)))&(~(neq(X7,nil))|~(segmentP(X8,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)&(~(nil=esk49_0)|~(nil=esk48_0)))&((ssItem(esk52_0)&((cons(esk52_0,nil)=esk50_0&memberP(esk51_0,esk52_0))&![X12]:(((~(ssItem(X12))|esk52_0=X12)|~(memberP(esk51_0,X12)))|~(leq(X12,esk52_0)))))|(nil=esk51_0&nil=esk50_0)))&(~(neq(esk48_0,nil))|~(segmentP(esk49_0,esk48_0)))))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,![X12]:((((((((((((~(ssItem(X12))|esk52_0=X12)|~(memberP(esk51_0,X12)))|~(leq(X12,esk52_0)))&(cons(esk52_0,nil)=esk50_0&memberP(esk51_0,esk52_0)))&ssItem(esk52_0))|(nil=esk51_0&nil=esk50_0))&((esk49_0=esk51_0&esk48_0=esk50_0)&(~(nil=esk49_0)|~(nil=esk48_0))))&(~(neq(esk48_0,nil))|~(segmentP(esk49_0,esk48_0))))&ssList(esk51_0))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(shift_quantors,[status(thm)],[570])).
% fof(572, negated_conjecture,![X12]:((((((((((nil=esk51_0|(((~(ssItem(X12))|esk52_0=X12)|~(memberP(esk51_0,X12)))|~(leq(X12,esk52_0))))&(nil=esk50_0|(((~(ssItem(X12))|esk52_0=X12)|~(memberP(esk51_0,X12)))|~(leq(X12,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)))))&((nil=esk51_0|ssItem(esk52_0))&(nil=esk50_0|ssItem(esk52_0))))&((esk49_0=esk51_0&esk48_0=esk50_0)&(~(nil=esk49_0)|~(nil=esk48_0))))&(~(neq(esk48_0,nil))|~(segmentP(esk49_0,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,(~segmentP(esk49_0,esk48_0)|~neq(esk48_0,nil)),inference(split_conjunct,[status(thm)],[572])).
% cnf(578,negated_conjecture,(nil!=esk48_0|nil!=esk49_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(579,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(580,negated_conjecture,(esk49_0=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,(memberP(esk51_0,esk52_0)|nil=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(585,negated_conjecture,(cons(esk52_0,nil)=esk50_0|nil=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(586,negated_conjecture,(cons(esk52_0,nil)=esk50_0|nil=esk51_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(589,negated_conjecture,(esk50_0!=nil|esk49_0!=nil),inference(rw,[status(thm)],[578,579,theory(equality)])).
% cnf(590,negated_conjecture,(esk50_0!=nil|esk51_0!=nil),inference(rw,[status(thm)],[589,580,theory(equality)])).
% cnf(591,negated_conjecture,(ssList(esk50_0)),inference(rw,[status(thm)],[573,579,theory(equality)])).
% cnf(592,negated_conjecture,(ssList(esk51_0)),inference(rw,[status(thm)],[574,580,theory(equality)])).
% cnf(595,negated_conjecture,(~neq(esk50_0,nil)|~segmentP(esk49_0,esk48_0)),inference(rw,[status(thm)],[577,579,theory(equality)])).
% cnf(596,negated_conjecture,(~neq(esk50_0,nil)|~segmentP(esk51_0,esk50_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[595,580,theory(equality)]),579,theory(equality)])).
% cnf(601,negated_conjecture,(esk51_0=nil|esk50_0!=nil|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[146,586,theory(equality)])).
% cnf(604,negated_conjecture,(esk51_0=nil|esk50_0!=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[601,125,theory(equality)])).
% cnf(605,negated_conjecture,(esk51_0=nil|esk50_0!=nil|~ssItem(esk52_0)),inference(cn,[status(thm)],[604,theory(equality)])).
% cnf(629,plain,(rearsegP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[362,theory(equality)])).
% cnf(630,plain,(rearsegP(nil,nil)|$false),inference(rw,[status(thm)],[629,125,theory(equality)])).
% cnf(631,plain,(rearsegP(nil,nil)),inference(cn,[status(thm)],[630,theory(equality)])).
% cnf(763,plain,(memberP(cons(X1,X2),X1)|~ssList(X2)|~ssItem(X1)),inference(er,[status(thm)],[163,theory(equality)])).
% cnf(850,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)|~ssList(app(X1,X2))),inference(er,[status(thm)],[529,theory(equality)])).
% cnf(860,plain,(rearsegP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)|~ssList(app(X1,X2))),inference(er,[status(thm)],[561,theory(equality)])).
% cnf(873,plain,(X1=nil|app(X2,X1)!=X2|~ssList(nil)|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[455,275,theory(equality)])).
% cnf(879,plain,(X1=nil|app(X2,X1)!=X2|$false|~ssList(X2)|~ssList(X1)),inference(rw,[status(thm)],[873,125,theory(equality)])).
% cnf(880,plain,(X1=nil|app(X2,X1)!=X2|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[879,theory(equality)])).
% cnf(969,plain,(segmentP(X1,X2)|app(X3,X2)!=X1|~ssList(nil)|~ssList(X3)|~ssList(X2)|~ssList(X1)|~ssList(app(X3,X2))),inference(spm,[status(thm)],[220,275,theory(equality)])).
% cnf(974,plain,(segmentP(X1,X2)|app(X3,X2)!=X1|$false|~ssList(X3)|~ssList(X2)|~ssList(X1)|~ssList(app(X3,X2))),inference(rw,[status(thm)],[969,125,theory(equality)])).
% cnf(975,plain,(segmentP(X1,X2)|app(X3,X2)!=X1|~ssList(X3)|~ssList(X2)|~ssList(X1)|~ssList(app(X3,X2))),inference(cn,[status(thm)],[974,theory(equality)])).
% cnf(1070,plain,(segmentP(app(app(X1,X2),X3),X2)|~ssList(X3)|~ssList(X1)|~ssList(X2)),inference(spm,[status(thm)],[288,178,theory(equality)])).
% cnf(1537,negated_conjecture,(esk51_0=nil|esk50_0!=nil),inference(csr,[status(thm)],[605,582])).
% cnf(1538,negated_conjecture,(esk50_0!=nil),inference(csr,[status(thm)],[1537,590])).
% cnf(1539,negated_conjecture,(ssItem(esk52_0)),inference(sr,[status(thm)],[581,1538,theory(equality)])).
% cnf(1540,negated_conjecture,(cons(esk52_0,nil)=esk50_0),inference(sr,[status(thm)],[585,1538,theory(equality)])).
% cnf(1541,negated_conjecture,(memberP(esk51_0,esk52_0)),inference(sr,[status(thm)],[583,1538,theory(equality)])).
% cnf(1550,negated_conjecture,(hd(esk50_0)=esk52_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[231,1540,theory(equality)])).
% cnf(1581,negated_conjecture,(app(esk50_0,X1)=cons(esk52_0,X1)|~ssList(X1)|~ssItem(esk52_0)),inference(spm,[status(thm)],[199,1540,theory(equality)])).
% cnf(1593,negated_conjecture,(hd(esk50_0)=esk52_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1550,125,theory(equality)])).
% cnf(1594,negated_conjecture,(hd(esk50_0)=esk52_0|$false|$false),inference(rw,[status(thm)],[1593,1539,theory(equality)])).
% cnf(1595,negated_conjecture,(hd(esk50_0)=esk52_0),inference(cn,[status(thm)],[1594,theory(equality)])).
% cnf(1679,negated_conjecture,(app(esk50_0,X1)=cons(esk52_0,X1)|~ssList(X1)|$false),inference(rw,[status(thm)],[1581,1539,theory(equality)])).
% cnf(1680,negated_conjecture,(app(esk50_0,X1)=cons(esk52_0,X1)|~ssList(X1)),inference(cn,[status(thm)],[1679,theory(equality)])).
% cnf(1683,negated_conjecture,(ssList(esk5_2(esk51_0,esk52_0))|~ssList(esk51_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[194,1541,theory(equality)])).
% cnf(1684,negated_conjecture,(ssList(esk6_2(esk51_0,esk52_0))|~ssList(esk51_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[193,1541,theory(equality)])).
% cnf(1685,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)],[192,1541,theory(equality)])).
% cnf(1689,negated_conjecture,(ssList(esk5_2(esk51_0,esk52_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1683,592,theory(equality)])).
% cnf(1690,negated_conjecture,(ssList(esk5_2(esk51_0,esk52_0))|$false|$false),inference(rw,[status(thm)],[1689,1539,theory(equality)])).
% cnf(1691,negated_conjecture,(ssList(esk5_2(esk51_0,esk52_0))),inference(cn,[status(thm)],[1690,theory(equality)])).
% cnf(1692,negated_conjecture,(ssList(esk6_2(esk51_0,esk52_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1684,592,theory(equality)])).
% cnf(1693,negated_conjecture,(ssList(esk6_2(esk51_0,esk52_0))|$false|$false),inference(rw,[status(thm)],[1692,1539,theory(equality)])).
% cnf(1694,negated_conjecture,(ssList(esk6_2(esk51_0,esk52_0))),inference(cn,[status(thm)],[1693,theory(equality)])).
% cnf(1695,negated_conjecture,(app(esk5_2(esk51_0,esk52_0),cons(esk52_0,esk6_2(esk51_0,esk52_0)))=esk51_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1685,592,theory(equality)])).
% cnf(1696,negated_conjecture,(app(esk5_2(esk51_0,esk52_0),cons(esk52_0,esk6_2(esk51_0,esk52_0)))=esk51_0|$false|$false),inference(rw,[status(thm)],[1695,1539,theory(equality)])).
% cnf(1697,negated_conjecture,(app(esk5_2(esk51_0,esk52_0),cons(esk52_0,esk6_2(esk51_0,esk52_0)))=esk51_0),inference(cn,[status(thm)],[1696,theory(equality)])).
% cnf(1721,plain,(rearsegP(app(X1,nil),nil)|~ssList(X1)|~ssList(nil)),inference(spm,[status(thm)],[545,631,theory(equality)])).
% cnf(1727,plain,(rearsegP(app(X1,nil),nil)|~ssList(X1)|$false),inference(rw,[status(thm)],[1721,125,theory(equality)])).
% cnf(1728,plain,(rearsegP(app(X1,nil),nil)|~ssList(X1)),inference(cn,[status(thm)],[1727,theory(equality)])).
% cnf(2211,negated_conjecture,(ssList(cons(esk52_0,X1))|~ssList(X1)|~ssList(esk50_0)),inference(spm,[status(thm)],[414,1680,theory(equality)])).
% cnf(2252,negated_conjecture,(ssList(cons(esk52_0,X1))|~ssList(X1)|$false),inference(rw,[status(thm)],[2211,591,theory(equality)])).
% cnf(2253,negated_conjecture,(ssList(cons(esk52_0,X1))|~ssList(X1)),inference(cn,[status(thm)],[2252,theory(equality)])).
% cnf(3078,negated_conjecture,(rearsegP(cons(esk52_0,nil),nil)|~ssList(esk50_0)|~ssList(nil)),inference(spm,[status(thm)],[1728,1680,theory(equality)])).
% cnf(3095,negated_conjecture,(rearsegP(esk50_0,nil)|~ssList(esk50_0)|~ssList(nil)),inference(rw,[status(thm)],[3078,1540,theory(equality)])).
% cnf(3096,negated_conjecture,(rearsegP(esk50_0,nil)|$false|~ssList(nil)),inference(rw,[status(thm)],[3095,591,theory(equality)])).
% cnf(3097,negated_conjecture,(rearsegP(esk50_0,nil)|$false|$false),inference(rw,[status(thm)],[3096,125,theory(equality)])).
% cnf(3098,negated_conjecture,(rearsegP(esk50_0,nil)),inference(cn,[status(thm)],[3097,theory(equality)])).
% cnf(3111,negated_conjecture,(ssList(esk47_2(esk50_0,nil))|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[560,3098,theory(equality)])).
% cnf(3112,negated_conjecture,(app(esk47_2(esk50_0,nil),nil)=esk50_0|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[559,3098,theory(equality)])).
% cnf(3116,negated_conjecture,(ssList(esk47_2(esk50_0,nil))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[3111,125,theory(equality)])).
% cnf(3117,negated_conjecture,(ssList(esk47_2(esk50_0,nil))|$false|$false),inference(rw,[status(thm)],[3116,591,theory(equality)])).
% cnf(3118,negated_conjecture,(ssList(esk47_2(esk50_0,nil))),inference(cn,[status(thm)],[3117,theory(equality)])).
% cnf(3119,negated_conjecture,(app(esk47_2(esk50_0,nil),nil)=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[3112,125,theory(equality)])).
% cnf(3120,negated_conjecture,(app(esk47_2(esk50_0,nil),nil)=esk50_0|$false|$false),inference(rw,[status(thm)],[3119,591,theory(equality)])).
% cnf(3121,negated_conjecture,(app(esk47_2(esk50_0,nil),nil)=esk50_0),inference(cn,[status(thm)],[3120,theory(equality)])).
% cnf(3145,negated_conjecture,(esk50_0=esk47_2(esk50_0,nil)|~ssList(esk47_2(esk50_0,nil))),inference(spm,[status(thm)],[275,3121,theory(equality)])).
% cnf(3190,negated_conjecture,(esk50_0=esk47_2(esk50_0,nil)|$false),inference(rw,[status(thm)],[3145,3118,theory(equality)])).
% cnf(3191,negated_conjecture,(esk50_0=esk47_2(esk50_0,nil)),inference(cn,[status(thm)],[3190,theory(equality)])).
% cnf(3207,negated_conjecture,(app(esk50_0,nil)=esk50_0),inference(rw,[status(thm)],[3121,3191,theory(equality)])).
% cnf(3215,negated_conjecture,(frontsegP(X1,esk50_0)|esk50_0!=X1|~ssList(nil)|~ssList(esk50_0)|~ssList(X1)),inference(spm,[status(thm)],[529,3207,theory(equality)])).
% cnf(3241,negated_conjecture,(frontsegP(X1,esk50_0)|esk50_0!=X1|$false|~ssList(esk50_0)|~ssList(X1)),inference(rw,[status(thm)],[3215,125,theory(equality)])).
% cnf(3242,negated_conjecture,(frontsegP(X1,esk50_0)|esk50_0!=X1|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[3241,591,theory(equality)])).
% cnf(3243,negated_conjecture,(frontsegP(X1,esk50_0)|esk50_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[3242,theory(equality)])).
% cnf(3290,negated_conjecture,(frontsegP(esk50_0,esk50_0)|~ssList(esk50_0)),inference(er,[status(thm)],[3243,theory(equality)])).
% cnf(3291,negated_conjecture,(frontsegP(esk50_0,esk50_0)|$false),inference(rw,[status(thm)],[3290,591,theory(equality)])).
% cnf(3292,negated_conjecture,(frontsegP(esk50_0,esk50_0)),inference(cn,[status(thm)],[3291,theory(equality)])).
% cnf(3295,negated_conjecture,(frontsegP(app(esk50_0,X1),esk50_0)|~ssList(X1)|~ssList(esk50_0)),inference(spm,[status(thm)],[541,3292,theory(equality)])).
% cnf(3301,negated_conjecture,(frontsegP(app(esk50_0,X1),esk50_0)|~ssList(X1)|$false),inference(rw,[status(thm)],[3295,591,theory(equality)])).
% cnf(3302,negated_conjecture,(frontsegP(app(esk50_0,X1),esk50_0)|~ssList(X1)),inference(cn,[status(thm)],[3301,theory(equality)])).
% cnf(3863,negated_conjecture,(frontsegP(cons(esk52_0,X1),esk50_0)|~ssList(X1)),inference(spm,[status(thm)],[3302,1680,theory(equality)])).
% cnf(4786,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[763,1540,theory(equality)])).
% cnf(4795,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[4786,125,theory(equality)])).
% cnf(4796,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|$false),inference(rw,[status(thm)],[4795,1539,theory(equality)])).
% cnf(4797,negated_conjecture,(memberP(esk50_0,esk52_0)),inference(cn,[status(thm)],[4796,theory(equality)])).
% cnf(4800,negated_conjecture,(ssList(esk5_2(esk50_0,esk52_0))|~ssList(esk50_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[194,4797,theory(equality)])).
% cnf(4801,negated_conjecture,(ssList(esk6_2(esk50_0,esk52_0))|~ssList(esk50_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[193,4797,theory(equality)])).
% cnf(4802,negated_conjecture,(app(esk5_2(esk50_0,esk52_0),cons(esk52_0,esk6_2(esk50_0,esk52_0)))=esk50_0|~ssList(esk50_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[192,4797,theory(equality)])).
% cnf(4806,negated_conjecture,(ssList(esk5_2(esk50_0,esk52_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[4800,591,theory(equality)])).
% cnf(4807,negated_conjecture,(ssList(esk5_2(esk50_0,esk52_0))|$false|$false),inference(rw,[status(thm)],[4806,1539,theory(equality)])).
% cnf(4808,negated_conjecture,(ssList(esk5_2(esk50_0,esk52_0))),inference(cn,[status(thm)],[4807,theory(equality)])).
% cnf(4809,negated_conjecture,(ssList(esk6_2(esk50_0,esk52_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[4801,591,theory(equality)])).
% cnf(4810,negated_conjecture,(ssList(esk6_2(esk50_0,esk52_0))|$false|$false),inference(rw,[status(thm)],[4809,1539,theory(equality)])).
% cnf(4811,negated_conjecture,(ssList(esk6_2(esk50_0,esk52_0))),inference(cn,[status(thm)],[4810,theory(equality)])).
% cnf(4812,negated_conjecture,(app(esk5_2(esk50_0,esk52_0),cons(esk52_0,esk6_2(esk50_0,esk52_0)))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[4802,591,theory(equality)])).
% cnf(4813,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)],[4812,1539,theory(equality)])).
% cnf(4814,negated_conjecture,(app(esk5_2(esk50_0,esk52_0),cons(esk52_0,esk6_2(esk50_0,esk52_0)))=esk50_0),inference(cn,[status(thm)],[4813,theory(equality)])).
% cnf(4855,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)],[533,4814,theory(equality)])).
% cnf(4878,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)],[4855,1595,theory(equality)])).
% cnf(4879,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)))|$false),inference(rw,[status(thm)],[4878,4808,theory(equality)])).
% cnf(4880,negated_conjecture,(esk52_0=hd(esk5_2(esk50_0,esk52_0))|nil=esk5_2(esk50_0,esk52_0)|~ssList(cons(esk52_0,esk6_2(esk50_0,esk52_0)))),inference(cn,[status(thm)],[4879,theory(equality)])).
% cnf(5372,negated_conjecture,(hd(esk5_2(esk50_0,esk52_0))=esk52_0|esk5_2(esk50_0,esk52_0)=nil|~ssList(esk6_2(esk50_0,esk52_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[4880,124,theory(equality)])).
% cnf(5374,negated_conjecture,(hd(esk5_2(esk50_0,esk52_0))=esk52_0|esk5_2(esk50_0,esk52_0)=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[5372,4811,theory(equality)])).
% cnf(5375,negated_conjecture,(hd(esk5_2(esk50_0,esk52_0))=esk52_0|esk5_2(esk50_0,esk52_0)=nil|$false|$false),inference(rw,[status(thm)],[5374,1539,theory(equality)])).
% cnf(5376,negated_conjecture,(hd(esk5_2(esk50_0,esk52_0))=esk52_0|esk5_2(esk50_0,esk52_0)=nil),inference(cn,[status(thm)],[5375,theory(equality)])).
% cnf(5380,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)],[407,5376,theory(equality)])).
% cnf(5388,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)|$false),inference(rw,[status(thm)],[5380,4808,theory(equality)])).
% cnf(5389,negated_conjecture,(cons(esk52_0,tl(esk5_2(esk50_0,esk52_0)))=esk5_2(esk50_0,esk52_0)|nil=esk5_2(esk50_0,esk52_0)),inference(cn,[status(thm)],[5388,theory(equality)])).
% cnf(5839,negated_conjecture,(frontsegP(esk5_2(esk50_0,esk52_0),esk50_0)|esk5_2(esk50_0,esk52_0)=nil|~ssList(tl(esk5_2(esk50_0,esk52_0)))),inference(spm,[status(thm)],[3863,5389,theory(equality)])).
% cnf(6058,negated_conjecture,(esk5_2(esk50_0,esk52_0)=nil|frontsegP(esk5_2(esk50_0,esk52_0),esk50_0)|~ssList(esk5_2(esk50_0,esk52_0))),inference(spm,[status(thm)],[5839,353,theory(equality)])).
% cnf(6059,negated_conjecture,(esk5_2(esk50_0,esk52_0)=nil|frontsegP(esk5_2(esk50_0,esk52_0),esk50_0)|$false),inference(rw,[status(thm)],[6058,4808,theory(equality)])).
% cnf(6060,negated_conjecture,(esk5_2(esk50_0,esk52_0)=nil|frontsegP(esk5_2(esk50_0,esk52_0),esk50_0)),inference(cn,[status(thm)],[6059,theory(equality)])).
% cnf(6062,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)],[486,6060,theory(equality)])).
% cnf(6069,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))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[6062,4808,theory(equality)])).
% cnf(6070,negated_conjecture,(esk50_0=esk5_2(esk50_0,esk52_0)|esk5_2(esk50_0,esk52_0)=nil|~frontsegP(esk50_0,esk5_2(esk50_0,esk52_0))|$false|$false),inference(rw,[status(thm)],[6069,591,theory(equality)])).
% cnf(6071,negated_conjecture,(esk50_0=esk5_2(esk50_0,esk52_0)|esk5_2(esk50_0,esk52_0)=nil|~frontsegP(esk50_0,esk5_2(esk50_0,esk52_0))),inference(cn,[status(thm)],[6070,theory(equality)])).
% cnf(6983,negated_conjecture,(cons(esk52_0,esk6_2(esk50_0,esk52_0))=nil|esk50_0!=esk5_2(esk50_0,esk52_0)|~ssList(esk5_2(esk50_0,esk52_0))|~ssList(cons(esk52_0,esk6_2(esk50_0,esk52_0)))),inference(spm,[status(thm)],[880,4814,theory(equality)])).
% cnf(7001,negated_conjecture,(cons(esk52_0,esk6_2(esk50_0,esk52_0))=nil|esk50_0!=esk5_2(esk50_0,esk52_0)|$false|~ssList(cons(esk52_0,esk6_2(esk50_0,esk52_0)))),inference(rw,[status(thm)],[6983,4808,theory(equality)])).
% cnf(7002,negated_conjecture,(cons(esk52_0,esk6_2(esk50_0,esk52_0))=nil|esk50_0!=esk5_2(esk50_0,esk52_0)|~ssList(cons(esk52_0,esk6_2(esk50_0,esk52_0)))),inference(cn,[status(thm)],[7001,theory(equality)])).
% cnf(7049,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[850,414])).
% cnf(7060,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)],[7049,4814,theory(equality)])).
% cnf(7088,negated_conjecture,(frontsegP(esk50_0,esk5_2(esk50_0,esk52_0))|~ssList(cons(esk52_0,esk6_2(esk50_0,esk52_0)))|$false),inference(rw,[status(thm)],[7060,4808,theory(equality)])).
% cnf(7089,negated_conjecture,(frontsegP(esk50_0,esk5_2(esk50_0,esk52_0))|~ssList(cons(esk52_0,esk6_2(esk50_0,esk52_0)))),inference(cn,[status(thm)],[7088,theory(equality)])).
% cnf(7231,negated_conjecture,(frontsegP(esk50_0,esk5_2(esk50_0,esk52_0))|~ssList(esk6_2(esk50_0,esk52_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[7089,124,theory(equality)])).
% cnf(7233,negated_conjecture,(frontsegP(esk50_0,esk5_2(esk50_0,esk52_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[7231,4811,theory(equality)])).
% cnf(7234,negated_conjecture,(frontsegP(esk50_0,esk5_2(esk50_0,esk52_0))|$false|$false),inference(rw,[status(thm)],[7233,1539,theory(equality)])).
% cnf(7235,negated_conjecture,(frontsegP(esk50_0,esk5_2(esk50_0,esk52_0))),inference(cn,[status(thm)],[7234,theory(equality)])).
% cnf(7244,negated_conjecture,(esk5_2(esk50_0,esk52_0)=nil|esk5_2(esk50_0,esk52_0)=esk50_0|$false),inference(rw,[status(thm)],[6071,7235,theory(equality)])).
% cnf(7245,negated_conjecture,(esk5_2(esk50_0,esk52_0)=nil|esk5_2(esk50_0,esk52_0)=esk50_0),inference(cn,[status(thm)],[7244,theory(equality)])).
% cnf(7278,negated_conjecture,(cons(esk52_0,esk6_2(esk50_0,esk52_0))=nil|esk5_2(esk50_0,esk52_0)=nil|~ssList(cons(esk52_0,esk6_2(esk50_0,esk52_0)))),inference(spm,[status(thm)],[7002,7245,theory(equality)])).
% cnf(7298,plain,(rearsegP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)),inference(csr,[status(thm)],[860,414])).
% cnf(7309,negated_conjecture,(rearsegP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))|~ssList(esk5_2(esk51_0,esk52_0))|~ssList(cons(esk52_0,esk6_2(esk51_0,esk52_0)))),inference(spm,[status(thm)],[7298,1697,theory(equality)])).
% cnf(7339,negated_conjecture,(rearsegP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))|$false|~ssList(cons(esk52_0,esk6_2(esk51_0,esk52_0)))),inference(rw,[status(thm)],[7309,1691,theory(equality)])).
% cnf(7340,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)],[7339,theory(equality)])).
% cnf(7361,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)],[7278,124,theory(equality)])).
% cnf(7363,negated_conjecture,(cons(esk52_0,esk6_2(esk50_0,esk52_0))=nil|esk5_2(esk50_0,esk52_0)=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[7361,4811,theory(equality)])).
% cnf(7364,negated_conjecture,(cons(esk52_0,esk6_2(esk50_0,esk52_0))=nil|esk5_2(esk50_0,esk52_0)=nil|$false|$false),inference(rw,[status(thm)],[7363,1539,theory(equality)])).
% cnf(7365,negated_conjecture,(cons(esk52_0,esk6_2(esk50_0,esk52_0))=nil|esk5_2(esk50_0,esk52_0)=nil),inference(cn,[status(thm)],[7364,theory(equality)])).
% cnf(7374,negated_conjecture,(esk5_2(esk50_0,esk52_0)=nil|~ssList(esk6_2(esk50_0,esk52_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[146,7365,theory(equality)])).
% cnf(7457,negated_conjecture,(esk5_2(esk50_0,esk52_0)=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[7374,4811,theory(equality)])).
% cnf(7458,negated_conjecture,(esk5_2(esk50_0,esk52_0)=nil|$false|$false),inference(rw,[status(thm)],[7457,1539,theory(equality)])).
% cnf(7459,negated_conjecture,(esk5_2(esk50_0,esk52_0)=nil),inference(cn,[status(thm)],[7458,theory(equality)])).
% cnf(7626,negated_conjecture,(frontsegP(esk50_0,nil)),inference(rw,[status(thm)],[7235,7459,theory(equality)])).
% cnf(7666,negated_conjecture,(ssList(esk46_2(esk50_0,nil))|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[528,7626,theory(equality)])).
% cnf(7668,negated_conjecture,(app(nil,esk46_2(esk50_0,nil))=esk50_0|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[527,7626,theory(equality)])).
% cnf(7671,negated_conjecture,(ssList(esk46_2(esk50_0,nil))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[7666,125,theory(equality)])).
% cnf(7672,negated_conjecture,(ssList(esk46_2(esk50_0,nil))|$false|$false),inference(rw,[status(thm)],[7671,591,theory(equality)])).
% cnf(7673,negated_conjecture,(ssList(esk46_2(esk50_0,nil))),inference(cn,[status(thm)],[7672,theory(equality)])).
% cnf(7678,negated_conjecture,(app(nil,esk46_2(esk50_0,nil))=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[7668,125,theory(equality)])).
% cnf(7679,negated_conjecture,(app(nil,esk46_2(esk50_0,nil))=esk50_0|$false|$false),inference(rw,[status(thm)],[7678,591,theory(equality)])).
% cnf(7680,negated_conjecture,(app(nil,esk46_2(esk50_0,nil))=esk50_0),inference(cn,[status(thm)],[7679,theory(equality)])).
% cnf(7723,negated_conjecture,(esk50_0=esk46_2(esk50_0,nil)|~ssList(esk46_2(esk50_0,nil))),inference(spm,[status(thm)],[265,7680,theory(equality)])).
% cnf(7772,negated_conjecture,(esk50_0=esk46_2(esk50_0,nil)|$false),inference(rw,[status(thm)],[7723,7673,theory(equality)])).
% cnf(7773,negated_conjecture,(esk50_0=esk46_2(esk50_0,nil)),inference(cn,[status(thm)],[7772,theory(equality)])).
% cnf(7785,negated_conjecture,(app(nil,esk50_0)=esk50_0),inference(rw,[status(thm)],[7680,7773,theory(equality)])).
% cnf(8427,negated_conjecture,(rearsegP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))|~ssList(esk6_2(esk51_0,esk52_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[7340,124,theory(equality)])).
% cnf(8429,negated_conjecture,(rearsegP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[8427,1694,theory(equality)])).
% cnf(8430,negated_conjecture,(rearsegP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))|$false|$false),inference(rw,[status(thm)],[8429,1539,theory(equality)])).
% cnf(8431,negated_conjecture,(rearsegP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))),inference(cn,[status(thm)],[8430,theory(equality)])).
% cnf(8434,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)],[560,8431,theory(equality)])).
% cnf(8435,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)],[559,8431,theory(equality)])).
% cnf(8440,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)))|$false),inference(rw,[status(thm)],[8434,592,theory(equality)])).
% cnf(8441,negated_conjecture,(ssList(esk47_2(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0))))|~ssList(cons(esk52_0,esk6_2(esk51_0,esk52_0)))),inference(cn,[status(thm)],[8440,theory(equality)])).
% cnf(8442,negated_conjecture,(app(esk47_2(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0))),cons(esk52_0,esk6_2(esk51_0,esk52_0)))=esk51_0|~ssList(cons(esk52_0,esk6_2(esk51_0,esk52_0)))|$false),inference(rw,[status(thm)],[8435,592,theory(equality)])).
% cnf(8443,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)],[8442,theory(equality)])).
% cnf(8451,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)],[8441,124,theory(equality)])).
% cnf(8453,negated_conjecture,(ssList(esk47_2(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0))))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[8451,1694,theory(equality)])).
% cnf(8454,negated_conjecture,(ssList(esk47_2(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0))))|$false|$false),inference(rw,[status(thm)],[8453,1539,theory(equality)])).
% cnf(8455,negated_conjecture,(ssList(esk47_2(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0))))),inference(cn,[status(thm)],[8454,theory(equality)])).
% cnf(14088,plain,(segmentP(X1,X2)|app(X3,X2)!=X1|~ssList(X3)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[975,414])).
% cnf(14089,plain,(segmentP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)|~ssList(app(X1,X2))),inference(er,[status(thm)],[14088,theory(equality)])).
% cnf(20249,negated_conjecture,(segmentP(app(esk50_0,X1),esk50_0)|~ssList(X1)|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[1070,7785,theory(equality)])).
% cnf(20304,negated_conjecture,(segmentP(app(esk50_0,X1),esk50_0)|~ssList(X1)|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[20249,125,theory(equality)])).
% cnf(20305,negated_conjecture,(segmentP(app(esk50_0,X1),esk50_0)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[20304,591,theory(equality)])).
% cnf(20306,negated_conjecture,(segmentP(app(esk50_0,X1),esk50_0)|~ssList(X1)),inference(cn,[status(thm)],[20305,theory(equality)])).
% cnf(20877,negated_conjecture,(segmentP(cons(esk52_0,X1),esk50_0)|~ssList(X1)),inference(spm,[status(thm)],[20306,1680,theory(equality)])).
% cnf(20907,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)],[171,20877,theory(equality)])).
% cnf(20928,negated_conjecture,(segmentP(X1,esk50_0)|~segmentP(X1,cons(esk52_0,X2))|$false|~ssList(cons(esk52_0,X2))|~ssList(X1)|~ssList(X2)),inference(rw,[status(thm)],[20907,591,theory(equality)])).
% cnf(20929,negated_conjecture,(segmentP(X1,esk50_0)|~segmentP(X1,cons(esk52_0,X2))|~ssList(cons(esk52_0,X2))|~ssList(X1)|~ssList(X2)),inference(cn,[status(thm)],[20928,theory(equality)])).
% cnf(311022,negated_conjecture,(app(esk47_2(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0))),cons(esk52_0,esk6_2(esk51_0,esk52_0)))=esk51_0|~ssList(esk6_2(esk51_0,esk52_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[8443,124,theory(equality)])).
% cnf(311024,negated_conjecture,(app(esk47_2(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0))),cons(esk52_0,esk6_2(esk51_0,esk52_0)))=esk51_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[311022,1694,theory(equality)])).
% cnf(311025,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)],[311024,1539,theory(equality)])).
% cnf(311026,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)],[311025,theory(equality)])).
% cnf(530969,plain,(segmentP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)),inference(csr,[status(thm)],[14089,414])).
% cnf(531089,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)],[530969,311026,theory(equality)])).
% cnf(531527,negated_conjecture,(segmentP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))|$false|~ssList(cons(esk52_0,esk6_2(esk51_0,esk52_0)))),inference(rw,[status(thm)],[531089,8455,theory(equality)])).
% cnf(531528,negated_conjecture,(segmentP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))|~ssList(cons(esk52_0,esk6_2(esk51_0,esk52_0)))),inference(cn,[status(thm)],[531527,theory(equality)])).
% cnf(531913,negated_conjecture,(segmentP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))|~ssList(esk6_2(esk51_0,esk52_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[531528,124,theory(equality)])).
% cnf(531915,negated_conjecture,(segmentP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[531913,1694,theory(equality)])).
% cnf(531916,negated_conjecture,(segmentP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))|$false|$false),inference(rw,[status(thm)],[531915,1539,theory(equality)])).
% cnf(531917,negated_conjecture,(segmentP(esk51_0,cons(esk52_0,esk6_2(esk51_0,esk52_0)))),inference(cn,[status(thm)],[531916,theory(equality)])).
% cnf(1178284,negated_conjecture,(segmentP(X1,esk50_0)|~segmentP(X1,cons(esk52_0,X2))|~ssList(X1)|~ssList(X2)),inference(csr,[status(thm)],[20929,2253])).
% cnf(1178316,negated_conjecture,(segmentP(esk51_0,esk50_0)|~ssList(esk51_0)|~ssList(esk6_2(esk51_0,esk52_0))),inference(spm,[status(thm)],[1178284,531917,theory(equality)])).
% cnf(1178485,negated_conjecture,(segmentP(esk51_0,esk50_0)|$false|~ssList(esk6_2(esk51_0,esk52_0))),inference(rw,[status(thm)],[1178316,592,theory(equality)])).
% cnf(1178486,negated_conjecture,(segmentP(esk51_0,esk50_0)|$false|$false),inference(rw,[status(thm)],[1178485,1694,theory(equality)])).
% cnf(1178487,negated_conjecture,(segmentP(esk51_0,esk50_0)),inference(cn,[status(thm)],[1178486,theory(equality)])).
% cnf(1178950,negated_conjecture,($false|~neq(esk50_0,nil)),inference(rw,[status(thm)],[596,1178487,theory(equality)])).
% cnf(1178951,negated_conjecture,(~neq(esk50_0,nil)),inference(cn,[status(thm)],[1178950,theory(equality)])).
% cnf(1178975,negated_conjecture,(esk50_0=nil|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[1178951,119,theory(equality)])).
% cnf(1178977,negated_conjecture,(esk50_0=nil|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[1178975,125,theory(equality)])).
% cnf(1178978,negated_conjecture,(esk50_0=nil|$false|$false),inference(rw,[status(thm)],[1178977,591,theory(equality)])).
% cnf(1178979,negated_conjecture,(esk50_0=nil),inference(cn,[status(thm)],[1178978,theory(equality)])).
% cnf(1178980,negated_conjecture,($false),inference(sr,[status(thm)],[1178979,1538,theory(equality)])).
% cnf(1178981,negated_conjecture,($false),1178980,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 35378
% # ...of these trivial : 537
% # ...subsumed : 24213
% # ...remaining for further processing: 10628
% # Other redundant clauses eliminated : 2398
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 651
% # Backward-rewritten : 1925
% # Generated clauses : 390041
% # ...of the previous two non-trivial : 355382
% # Contextual simplify-reflections : 8744
% # Paramodulations : 386871
% # Factorizations : 1
% # Equation resolutions : 3153
% # Current number of processed clauses: 8032
% # Positive orientable unit clauses: 2062
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 574
% # Non-unit-clauses : 5396
% # Current number of unprocessed clauses: 263058
% # ...number of literals in the above : 1753569
% # Clause-clause subsumption calls (NU) : 1310097
% # Rec. Clause-clause subsumption calls : 724913
% # Unit Clause-clause subsumption calls : 91958
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 51850
% # Indexed BW rewrite successes : 433
% # Backwards rewriting index: 2848 leaves, 2.95+/-7.528 terms/leaf
% # Paramod-from index: 1109 leaves, 3.03+/-8.634 terms/leaf
% # Paramod-into index: 2240 leaves, 3.07+/-7.996 terms/leaf
% # -------------------------------------------------
% # User time : 28.079 s
% # System time : 0.911 s
% # Total time : 28.990 s
% # Maximum resident set size: 0 pages
% PrfWatch: 47.45 CPU 48.14 WC
% PrfWatch: 47.49 CPU 48.18 WC
% FINAL PrfWatch: 47.49 CPU 48.18 WC
% SZS output end Solution for /tmp/SystemOnTPTP22712/SWC115+1.tptp
%
%------------------------------------------------------------------------------