%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC061+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 : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Thu Dec 30 07:00:49 EST 2010
% Result : Theorem 28.04s
% Output : Solution 28.04s
% 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/SystemOnTPTP18555/SWC061+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP18555/SWC061+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP18555/SWC061+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 18687
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.94 CPU 2.01 WC
% PrfWatch: 3.93 CPU 4.02 WC
% PrfWatch: 5.92 CPU 6.03 WC
% PrfWatch: 7.91 CPU 8.03 WC
% PrfWatch: 9.87 CPU 10.04 WC
% PrfWatch: 11.86 CPU 12.05 WC
% PrfWatch: 13.67 CPU 14.05 WC
% PrfWatch: 15.54 CPU 16.06 WC
% PrfWatch: 17.53 CPU 18.07 WC
% # Preprocessing time : 0.029 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 19.53 CPU 20.07 WC
% PrfWatch: 21.53 CPU 22.08 WC
% PrfWatch: 23.52 CPU 24.08 WC
% PrfWatch: 25.51 CPU 26.09 WC
% # SZS output start CNFRefutation.
% fof(3, 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(4, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(neq(X1,X2)<=>~(X1=X2)))),file('/tmp/SRASS.s.p', ax15)).
% fof(5, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>ssList(cons(X2,X1)))),file('/tmp/SRASS.s.p', ax16)).
% fof(6, axiom,ssList(nil),file('/tmp/SRASS.s.p', ax17)).
% fof(10, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>~(nil=cons(X2,X1)))),file('/tmp/SRASS.s.p', ax21)).
% fof(11, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>ssList(app(X1,X2)))),file('/tmp/SRASS.s.p', ax26)).
% fof(12, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssItem(X3)=>cons(X3,app(X2,X1))=app(cons(X3,X2),X1)))),file('/tmp/SRASS.s.p', ax27)).
% fof(13, axiom,![X1]:(ssList(X1)=>app(nil,X1)=X1),file('/tmp/SRASS.s.p', ax28)).
% fof(16, axiom,![X1]:(ssList(X1)=>segmentP(X1,X1)),file('/tmp/SRASS.s.p', ax55)).
% fof(20, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>(app(X3,X2)=app(X1,X2)=>X3=X1)))),file('/tmp/SRASS.s.p', ax79)).
% fof(21, 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(22, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>cons(X2,X1)=app(cons(X2,nil),X1))),file('/tmp/SRASS.s.p', ax81)).
% fof(23, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>app(app(X1,X2),X3)=app(X1,app(X2,X3))))),file('/tmp/SRASS.s.p', ax82)).
% fof(24, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(nil=app(X1,X2)<=>(nil=X2&nil=X1)))),file('/tmp/SRASS.s.p', ax83)).
% fof(25, axiom,![X1]:(ssList(X1)=>app(X1,nil)=X1),file('/tmp/SRASS.s.p', ax84)).
% fof(31, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(~(nil=X1)=>tl(app(X1,X2))=app(tl(X1),X2)))),file('/tmp/SRASS.s.p', ax86)).
% fof(32, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>hd(cons(X2,X1))=X2)),file('/tmp/SRASS.s.p', ax23)).
% fof(33, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>tl(cons(X2,X1))=X1)),file('/tmp/SRASS.s.p', ax25)).
% fof(45, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(frontsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X2,X3)=X1)))),file('/tmp/SRASS.s.p', ax5)).
% fof(46, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(rearsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X3,X2)=X1)))),file('/tmp/SRASS.s.p', ax6)).
% fof(48, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>ssList(tl(X1)))),file('/tmp/SRASS.s.p', ax24)).
% fof(49, axiom,![X1]:(ssList(X1)=>(frontsegP(nil,X1)<=>nil=X1)),file('/tmp/SRASS.s.p', ax46)).
% fof(50, axiom,![X1]:(ssList(X1)=>(rearsegP(nil,X1)<=>nil=X1)),file('/tmp/SRASS.s.p', ax52)).
% fof(58, 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(59, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>cons(hd(X1),tl(X1))=X1)),file('/tmp/SRASS.s.p', ax78)).
% fof(96, conjecture,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(((((~(ssList(X4))|~(X2=X4))|~(X1=X3))|(~(nil=X3)&nil=X4))|(![X5]:(ssItem(X5)=>![X6]:((~(ssList(X6))|~(app(cons(X5,nil),X6)=X4))|~(app(X6,cons(X5,nil))=X3)))&neq(X4,nil)))|((~(nil=X2)|nil=X1)&(~(neq(X2,nil))|?[X7]:(((ssList(X7)&neq(X7,nil))&segmentP(X2,X7))&segmentP(X1,X7)))))))),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=X3)&nil=X4))|(![X5]:(ssItem(X5)=>![X6]:((~(ssList(X6))|~(app(cons(X5,nil),X6)=X4))|~(app(X6,cons(X5,nil))=X3)))&neq(X4,nil)))|((~(nil=X2)|nil=X1)&(~(neq(X2,nil))|?[X7]:(((ssList(X7)&neq(X7,nil))&segmentP(X2,X7))&segmentP(X1,X7))))))))),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=X3)&nil=X4))|(![X5]:(ssItem(X5)=>![X6]:((~(ssList(X6))|~(app(cons(X5,nil),X6)=X4))|~(app(X6,cons(X5,nil))=X3)))&neq(X4,nil)))|((~(nil=X2)|nil=X1)&(~(neq(X2,nil))|?[X7]:(((ssList(X7)&neq(X7,nil))&segmentP(X2,X7))&segmentP(X1,X7))))))))),inference(fof_simplification,[status(thm)],[97,theory(equality)])).
% fof(115, 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)],[3])).
% fof(116, 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)],[115])).
% fof(117, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|((~(segmentP(X5,X6))|(ssList(esk3_2(X5,X6))&(ssList(esk4_2(X5,X6))&app(app(esk3_2(X5,X6),X6),esk4_2(X5,X6))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(app(X9,X6),X10)=X5)))|segmentP(X5,X6))))),inference(skolemize,[status(esa)],[116])).
% fof(118, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(app(X9,X6),X10)=X5))|~(ssList(X9)))|segmentP(X5,X6))&(~(segmentP(X5,X6))|(ssList(esk3_2(X5,X6))&(ssList(esk4_2(X5,X6))&app(app(esk3_2(X5,X6),X6),esk4_2(X5,X6))=X5))))|~(ssList(X6)))|~(ssList(X5))),inference(shift_quantors,[status(thm)],[117])).
% fof(119, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(app(X9,X6),X10)=X5))|~(ssList(X9)))|segmentP(X5,X6))|~(ssList(X6)))|~(ssList(X5)))&((((ssList(esk3_2(X5,X6))|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))&((((ssList(esk4_2(X5,X6))|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))&(((app(app(esk3_2(X5,X6),X6),esk4_2(X5,X6))=X5|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))))),inference(distribute,[status(thm)],[118])).
% cnf(123,plain,(segmentP(X1,X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|app(app(X3,X2),X4)!=X1|~ssList(X4)),inference(split_conjunct,[status(thm)],[119])).
% fof(124, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(neq(X1,X2))|~(X1=X2))&(X1=X2|neq(X1,X2))))),inference(fof_nnf,[status(thm)],[4])).
% fof(125, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))),inference(variable_rename,[status(thm)],[124])).
% fof(126, plain,![X3]:![X4]:((~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[125])).
% fof(127, 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)],[126])).
% cnf(128,plain,(neq(X1,X2)|X1=X2|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[127])).
% cnf(129,plain,(~ssList(X1)|~ssList(X2)|X1!=X2|~neq(X1,X2)),inference(split_conjunct,[status(thm)],[127])).
% fof(130, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|ssList(cons(X2,X1)))),inference(fof_nnf,[status(thm)],[5])).
% fof(131, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|ssList(cons(X4,X3)))),inference(variable_rename,[status(thm)],[130])).
% fof(132, plain,![X3]:![X4]:((~(ssItem(X4))|ssList(cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[131])).
% cnf(133,plain,(ssList(cons(X2,X1))|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[132])).
% cnf(134,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[6])).
% fof(152, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|~(nil=cons(X2,X1)))),inference(fof_nnf,[status(thm)],[10])).
% fof(153, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|~(nil=cons(X4,X3)))),inference(variable_rename,[status(thm)],[152])).
% fof(154, plain,![X3]:![X4]:((~(ssItem(X4))|~(nil=cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[153])).
% cnf(155,plain,(~ssList(X1)|nil!=cons(X2,X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[154])).
% fof(156, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|ssList(app(X1,X2)))),inference(fof_nnf,[status(thm)],[11])).
% fof(157, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|ssList(app(X3,X4)))),inference(variable_rename,[status(thm)],[156])).
% fof(158, plain,![X3]:![X4]:((~(ssList(X4))|ssList(app(X3,X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[157])).
% cnf(159,plain,(ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[158])).
% fof(160, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssItem(X3))|cons(X3,app(X2,X1))=app(cons(X3,X2),X1)))),inference(fof_nnf,[status(thm)],[12])).
% fof(161, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssItem(X6))|cons(X6,app(X5,X4))=app(cons(X6,X5),X4)))),inference(variable_rename,[status(thm)],[160])).
% fof(162, plain,![X4]:![X5]:![X6]:(((~(ssItem(X6))|cons(X6,app(X5,X4))=app(cons(X6,X5),X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[161])).
% cnf(163,plain,(cons(X3,app(X2,X1))=app(cons(X3,X2),X1)|~ssList(X1)|~ssList(X2)|~ssItem(X3)),inference(split_conjunct,[status(thm)],[162])).
% fof(164, plain,![X1]:(~(ssList(X1))|app(nil,X1)=X1),inference(fof_nnf,[status(thm)],[13])).
% fof(165, plain,![X2]:(~(ssList(X2))|app(nil,X2)=X2),inference(variable_rename,[status(thm)],[164])).
% cnf(166,plain,(app(nil,X1)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[165])).
% fof(175, plain,![X1]:(~(ssList(X1))|segmentP(X1,X1)),inference(fof_nnf,[status(thm)],[16])).
% fof(176, plain,![X2]:(~(ssList(X2))|segmentP(X2,X2)),inference(variable_rename,[status(thm)],[175])).
% cnf(177,plain,(segmentP(X1,X1)|~ssList(X1)),inference(split_conjunct,[status(thm)],[176])).
% fof(190, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X3,X2)=app(X1,X2))|X3=X1)))),inference(fof_nnf,[status(thm)],[20])).
% fof(191, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X6,X5)=app(X4,X5))|X6=X4)))),inference(variable_rename,[status(thm)],[190])).
% fof(192, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X6,X5)=app(X4,X5))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[191])).
% cnf(193,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X3,X2)!=app(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[192])).
% fof(194, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X2,X3)=app(X2,X1))|X3=X1)))),inference(fof_nnf,[status(thm)],[21])).
% fof(195, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4)))),inference(variable_rename,[status(thm)],[194])).
% fof(196, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[195])).
% cnf(197,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X2,X3)!=app(X2,X1)|~ssList(X3)),inference(split_conjunct,[status(thm)],[196])).
% fof(198, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|cons(X2,X1)=app(cons(X2,nil),X1))),inference(fof_nnf,[status(thm)],[22])).
% fof(199, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))),inference(variable_rename,[status(thm)],[198])).
% fof(200, plain,![X3]:![X4]:((~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[199])).
% cnf(201,plain,(cons(X2,X1)=app(cons(X2,nil),X1)|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[200])).
% fof(202, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|app(app(X1,X2),X3)=app(X1,app(X2,X3))))),inference(fof_nnf,[status(thm)],[23])).
% fof(203, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|app(app(X4,X5),X6)=app(X4,app(X5,X6))))),inference(variable_rename,[status(thm)],[202])).
% fof(204, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|app(app(X4,X5),X6)=app(X4,app(X5,X6)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[203])).
% cnf(205,plain,(app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X1)|~ssList(X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[204])).
% fof(206, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(nil=app(X1,X2))|(nil=X2&nil=X1))&((~(nil=X2)|~(nil=X1))|nil=app(X1,X2))))),inference(fof_nnf,[status(thm)],[24])).
% fof(207, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(nil=app(X3,X4))|(nil=X4&nil=X3))&((~(nil=X4)|~(nil=X3))|nil=app(X3,X4))))),inference(variable_rename,[status(thm)],[206])).
% fof(208, plain,![X3]:![X4]:((~(ssList(X4))|((~(nil=app(X3,X4))|(nil=X4&nil=X3))&((~(nil=X4)|~(nil=X3))|nil=app(X3,X4))))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[207])).
% fof(209, plain,![X3]:![X4]:(((((nil=X4|~(nil=app(X3,X4)))|~(ssList(X4)))|~(ssList(X3)))&(((nil=X3|~(nil=app(X3,X4)))|~(ssList(X4)))|~(ssList(X3))))&((((~(nil=X4)|~(nil=X3))|nil=app(X3,X4))|~(ssList(X4)))|~(ssList(X3)))),inference(distribute,[status(thm)],[208])).
% cnf(211,plain,(nil=X1|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[209])).
% cnf(212,plain,(nil=X2|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[209])).
% fof(213, plain,![X1]:(~(ssList(X1))|app(X1,nil)=X1),inference(fof_nnf,[status(thm)],[25])).
% fof(214, plain,![X2]:(~(ssList(X2))|app(X2,nil)=X2),inference(variable_rename,[status(thm)],[213])).
% cnf(215,plain,(app(X1,nil)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[214])).
% fof(262, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|(nil=X1|tl(app(X1,X2))=app(tl(X1),X2)))),inference(fof_nnf,[status(thm)],[31])).
% fof(263, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|(nil=X3|tl(app(X3,X4))=app(tl(X3),X4)))),inference(variable_rename,[status(thm)],[262])).
% fof(264, plain,![X3]:![X4]:((~(ssList(X4))|(nil=X3|tl(app(X3,X4))=app(tl(X3),X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[263])).
% cnf(265,plain,(tl(app(X1,X2))=app(tl(X1),X2)|nil=X1|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[264])).
% fof(266, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|hd(cons(X2,X1))=X2)),inference(fof_nnf,[status(thm)],[32])).
% fof(267, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|hd(cons(X4,X3))=X4)),inference(variable_rename,[status(thm)],[266])).
% fof(268, plain,![X3]:![X4]:((~(ssItem(X4))|hd(cons(X4,X3))=X4)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[267])).
% cnf(269,plain,(hd(cons(X2,X1))=X2|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[268])).
% fof(270, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|tl(cons(X2,X1))=X1)),inference(fof_nnf,[status(thm)],[33])).
% fof(271, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|tl(cons(X4,X3))=X3)),inference(variable_rename,[status(thm)],[270])).
% fof(272, plain,![X3]:![X4]:((~(ssItem(X4))|tl(cons(X4,X3))=X3)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[271])).
% cnf(273,plain,(tl(cons(X2,X1))=X1|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[272])).
% fof(318, 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)],[45])).
% fof(319, 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)],[318])).
% fof(320, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(frontsegP(X4,X5))|(ssList(esk20_2(X4,X5))&app(X5,esk20_2(X4,X5))=X4))&(![X7]:(~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))))),inference(skolemize,[status(esa)],[319])).
% fof(321, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))&(~(frontsegP(X4,X5))|(ssList(esk20_2(X4,X5))&app(X5,esk20_2(X4,X5))=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[320])).
% fof(322, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk20_2(X4,X5))|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(X5,esk20_2(X4,X5))=X4|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[321])).
% cnf(323,plain,(app(X2,esk20_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[322])).
% cnf(324,plain,(ssList(esk20_2(X1,X2))|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[322])).
% cnf(325,plain,(frontsegP(X1,X2)|~ssList(X1)|~ssList(X2)|app(X2,X3)!=X1|~ssList(X3)),inference(split_conjunct,[status(thm)],[322])).
% fof(326, 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)],[46])).
% fof(327, 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)],[326])).
% fof(328, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(rearsegP(X4,X5))|(ssList(esk21_2(X4,X5))&app(esk21_2(X4,X5),X5)=X4))&(![X7]:(~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))))),inference(skolemize,[status(esa)],[327])).
% fof(329, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))&(~(rearsegP(X4,X5))|(ssList(esk21_2(X4,X5))&app(esk21_2(X4,X5),X5)=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[328])).
% fof(330, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk21_2(X4,X5))|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(esk21_2(X4,X5),X5)=X4|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[329])).
% cnf(331,plain,(app(esk21_2(X1,X2),X2)=X1|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[330])).
% cnf(332,plain,(ssList(esk21_2(X1,X2))|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[330])).
% fof(341, plain,![X1]:(~(ssList(X1))|(nil=X1|ssList(tl(X1)))),inference(fof_nnf,[status(thm)],[48])).
% fof(342, plain,![X2]:(~(ssList(X2))|(nil=X2|ssList(tl(X2)))),inference(variable_rename,[status(thm)],[341])).
% cnf(343,plain,(ssList(tl(X1))|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[342])).
% fof(344, plain,![X1]:(~(ssList(X1))|((~(frontsegP(nil,X1))|nil=X1)&(~(nil=X1)|frontsegP(nil,X1)))),inference(fof_nnf,[status(thm)],[49])).
% fof(345, plain,![X2]:(~(ssList(X2))|((~(frontsegP(nil,X2))|nil=X2)&(~(nil=X2)|frontsegP(nil,X2)))),inference(variable_rename,[status(thm)],[344])).
% fof(346, plain,![X2]:(((~(frontsegP(nil,X2))|nil=X2)|~(ssList(X2)))&((~(nil=X2)|frontsegP(nil,X2))|~(ssList(X2)))),inference(distribute,[status(thm)],[345])).
% cnf(347,plain,(frontsegP(nil,X1)|~ssList(X1)|nil!=X1),inference(split_conjunct,[status(thm)],[346])).
% fof(349, plain,![X1]:(~(ssList(X1))|((~(rearsegP(nil,X1))|nil=X1)&(~(nil=X1)|rearsegP(nil,X1)))),inference(fof_nnf,[status(thm)],[50])).
% fof(350, plain,![X2]:(~(ssList(X2))|((~(rearsegP(nil,X2))|nil=X2)&(~(nil=X2)|rearsegP(nil,X2)))),inference(variable_rename,[status(thm)],[349])).
% fof(351, plain,![X2]:(((~(rearsegP(nil,X2))|nil=X2)|~(ssList(X2)))&((~(nil=X2)|rearsegP(nil,X2))|~(ssList(X2)))),inference(distribute,[status(thm)],[350])).
% cnf(352,plain,(rearsegP(nil,X1)|~ssList(X1)|nil!=X1),inference(split_conjunct,[status(thm)],[351])).
% fof(432, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(rearsegP(X1,X2))|rearsegP(app(X3,X1),X2))))),inference(fof_nnf,[status(thm)],[58])).
% fof(433, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5))))),inference(variable_rename,[status(thm)],[432])).
% fof(434, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[433])).
% cnf(435,plain,(rearsegP(app(X3,X1),X2)|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[434])).
% fof(436, plain,![X1]:(~(ssList(X1))|(nil=X1|cons(hd(X1),tl(X1))=X1)),inference(fof_nnf,[status(thm)],[59])).
% fof(437, plain,![X2]:(~(ssList(X2))|(nil=X2|cons(hd(X2),tl(X2))=X2)),inference(variable_rename,[status(thm)],[436])).
% cnf(438,plain,(cons(hd(X1),tl(X1))=X1|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[437])).
% fof(568, negated_conjecture,?[X1]:(ssList(X1)&?[X2]:(ssList(X2)&?[X3]:(ssList(X3)&?[X4]:(((((ssList(X4)&X2=X4)&X1=X3)&(nil=X3|~(nil=X4)))&(?[X5]:(ssItem(X5)&?[X6]:((ssList(X6)&app(cons(X5,nil),X6)=X4)&app(X6,cons(X5,nil))=X3))|~(neq(X4,nil))))&((nil=X2&~(nil=X1))|(neq(X2,nil)&![X7]:(((~(ssList(X7))|~(neq(X7,nil)))|~(segmentP(X2,X7)))|~(segmentP(X1,X7))))))))),inference(fof_nnf,[status(thm)],[103])).
% fof(569, negated_conjecture,?[X8]:(ssList(X8)&?[X9]:(ssList(X9)&?[X10]:(ssList(X10)&?[X11]:(((((ssList(X11)&X9=X11)&X8=X10)&(nil=X10|~(nil=X11)))&(?[X12]:(ssItem(X12)&?[X13]:((ssList(X13)&app(cons(X12,nil),X13)=X11)&app(X13,cons(X12,nil))=X10))|~(neq(X11,nil))))&((nil=X9&~(nil=X8))|(neq(X9,nil)&![X14]:(((~(ssList(X14))|~(neq(X14,nil)))|~(segmentP(X9,X14)))|~(segmentP(X8,X14))))))))),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=esk50_0|~(nil=esk51_0)))&((ssItem(esk52_0)&((ssList(esk53_0)&app(cons(esk52_0,nil),esk53_0)=esk51_0)&app(esk53_0,cons(esk52_0,nil))=esk50_0))|~(neq(esk51_0,nil))))&((nil=esk49_0&~(nil=esk48_0))|(neq(esk49_0,nil)&![X14]:(((~(ssList(X14))|~(neq(X14,nil)))|~(segmentP(esk49_0,X14)))|~(segmentP(esk48_0,X14))))))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,![X14]:(((((((((~(ssList(X14))|~(neq(X14,nil)))|~(segmentP(esk49_0,X14)))|~(segmentP(esk48_0,X14)))&neq(esk49_0,nil))|(nil=esk49_0&~(nil=esk48_0)))&((((ssList(esk51_0)&esk49_0=esk51_0)&esk48_0=esk50_0)&(nil=esk50_0|~(nil=esk51_0)))&((ssItem(esk52_0)&((ssList(esk53_0)&app(cons(esk52_0,nil),esk53_0)=esk51_0)&app(esk53_0,cons(esk52_0,nil))=esk50_0))|~(neq(esk51_0,nil)))))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(shift_quantors,[status(thm)],[570])).
% fof(572, negated_conjecture,![X14]:(((((((nil=esk49_0|(((~(ssList(X14))|~(neq(X14,nil)))|~(segmentP(esk49_0,X14)))|~(segmentP(esk48_0,X14))))&(~(nil=esk48_0)|(((~(ssList(X14))|~(neq(X14,nil)))|~(segmentP(esk49_0,X14)))|~(segmentP(esk48_0,X14)))))&((nil=esk49_0|neq(esk49_0,nil))&(~(nil=esk48_0)|neq(esk49_0,nil))))&((((ssList(esk51_0)&esk49_0=esk51_0)&esk48_0=esk50_0)&(nil=esk50_0|~(nil=esk51_0)))&((ssItem(esk52_0)|~(neq(esk51_0,nil)))&(((ssList(esk53_0)|~(neq(esk51_0,nil)))&(app(cons(esk52_0,nil),esk53_0)=esk51_0|~(neq(esk51_0,nil))))&(app(esk53_0,cons(esk52_0,nil))=esk50_0|~(neq(esk51_0,nil)))))))&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(576,negated_conjecture,(app(esk53_0,cons(esk52_0,nil))=esk50_0|~neq(esk51_0,nil)),inference(split_conjunct,[status(thm)],[572])).
% cnf(577,negated_conjecture,(app(cons(esk52_0,nil),esk53_0)=esk51_0|~neq(esk51_0,nil)),inference(split_conjunct,[status(thm)],[572])).
% cnf(578,negated_conjecture,(ssList(esk53_0)|~neq(esk51_0,nil)),inference(split_conjunct,[status(thm)],[572])).
% cnf(579,negated_conjecture,(ssItem(esk52_0)|~neq(esk51_0,nil)),inference(split_conjunct,[status(thm)],[572])).
% cnf(580,negated_conjecture,(nil=esk50_0|nil!=esk51_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(581,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(582,negated_conjecture,(esk49_0=esk51_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(584,negated_conjecture,(neq(esk49_0,nil)|nil!=esk48_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(585,negated_conjecture,(neq(esk49_0,nil)|nil=esk49_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(587,negated_conjecture,(nil=esk49_0|~segmentP(esk48_0,X1)|~segmentP(esk49_0,X1)|~neq(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[572])).
% cnf(588,negated_conjecture,(ssList(esk51_0)),inference(rw,[status(thm)],[574,582,theory(equality)])).
% cnf(591,negated_conjecture,(esk48_0=nil|esk51_0!=nil),inference(rw,[status(thm)],[580,581,theory(equality)])).
% cnf(592,negated_conjecture,(neq(esk51_0,nil)|esk48_0!=nil),inference(rw,[status(thm)],[584,582,theory(equality)])).
% cnf(593,negated_conjecture,(esk51_0=nil|neq(esk49_0,nil)),inference(rw,[status(thm)],[585,582,theory(equality)])).
% cnf(594,negated_conjecture,(esk51_0=nil|neq(esk51_0,nil)),inference(rw,[status(thm)],[593,582,theory(equality)])).
% cnf(595,negated_conjecture,(ssItem(esk52_0)|esk51_0=nil),inference(spm,[status(thm)],[579,594,theory(equality)])).
% cnf(596,negated_conjecture,(ssList(esk53_0)|esk51_0=nil),inference(spm,[status(thm)],[578,594,theory(equality)])).
% cnf(597,negated_conjecture,(app(esk53_0,cons(esk52_0,nil))=esk48_0|~neq(esk51_0,nil)),inference(rw,[status(thm)],[576,581,theory(equality)])).
% cnf(598,negated_conjecture,(app(esk53_0,cons(esk52_0,nil))=esk48_0|esk51_0=nil),inference(spm,[status(thm)],[597,594,theory(equality)])).
% cnf(599,negated_conjecture,(app(cons(esk52_0,nil),esk53_0)=esk51_0|esk51_0=nil),inference(spm,[status(thm)],[577,594,theory(equality)])).
% cnf(604,negated_conjecture,(esk51_0=nil|~ssList(X1)|~neq(X1,nil)|~segmentP(esk48_0,X1)|~segmentP(esk49_0,X1)),inference(rw,[status(thm)],[587,582,theory(equality)])).
% cnf(605,negated_conjecture,(esk51_0=nil|~ssList(X1)|~neq(X1,nil)|~segmentP(esk48_0,X1)|~segmentP(esk51_0,X1)),inference(rw,[status(thm)],[604,582,theory(equality)])).
% cnf(607,negated_conjecture,(esk51_0=nil|~segmentP(esk51_0,esk48_0)|~ssList(esk48_0)|~neq(esk48_0,nil)),inference(spm,[status(thm)],[605,177,theory(equality)])).
% cnf(611,negated_conjecture,(esk51_0=nil|~segmentP(esk51_0,esk48_0)|$false|~neq(esk48_0,nil)),inference(rw,[status(thm)],[607,573,theory(equality)])).
% cnf(612,negated_conjecture,(esk51_0=nil|~segmentP(esk51_0,esk48_0)|~neq(esk48_0,nil)),inference(cn,[status(thm)],[611,theory(equality)])).
% cnf(613,plain,(frontsegP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[347,theory(equality)])).
% cnf(614,plain,(frontsegP(nil,nil)|$false),inference(rw,[status(thm)],[613,134,theory(equality)])).
% cnf(615,plain,(frontsegP(nil,nil)),inference(cn,[status(thm)],[614,theory(equality)])).
% cnf(616,plain,(rearsegP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[352,theory(equality)])).
% cnf(617,plain,(rearsegP(nil,nil)|$false),inference(rw,[status(thm)],[616,134,theory(equality)])).
% cnf(618,plain,(rearsegP(nil,nil)),inference(cn,[status(thm)],[617,theory(equality)])).
% cnf(634,plain,(~ssList(X1)|~neq(X1,X1)),inference(er,[status(thm)],[129,theory(equality)])).
% cnf(709,plain,(cons(X1,tl(cons(X1,X2)))=cons(X1,X2)|nil=cons(X1,X2)|~ssList(cons(X1,X2))|~ssList(X2)|~ssItem(X1)),inference(spm,[status(thm)],[438,269,theory(equality)])).
% cnf(767,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)|~ssList(app(X1,X2))),inference(er,[status(thm)],[325,theory(equality)])).
% cnf(828,plain,(segmentP(X1,X2)|app(X2,X3)!=X1|~ssList(X3)|~ssList(nil)|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[123,166,theory(equality)])).
% cnf(829,plain,(segmentP(X1,X2)|app(cons(X3,X2),X4)!=X1|~ssList(X4)|~ssList(cons(X3,nil))|~ssList(X2)|~ssList(X1)|~ssItem(X3)),inference(spm,[status(thm)],[123,201,theory(equality)])).
% cnf(832,plain,(segmentP(X1,X2)|app(X2,X3)!=X1|~ssList(X3)|$false|~ssList(X2)|~ssList(X1)),inference(rw,[status(thm)],[828,134,theory(equality)])).
% cnf(833,plain,(segmentP(X1,X2)|app(X2,X3)!=X1|~ssList(X3)|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[832,theory(equality)])).
% cnf(866,plain,(app(X1,app(X2,nil))=app(X1,X2)|~ssList(app(X1,X2))|~ssList(nil)|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[215,205,theory(equality)])).
% cnf(880,plain,(app(X1,X2)=app(nil,app(X1,X2))|~ssList(X2)|~ssList(X1)|~ssList(nil)),inference(spm,[status(thm)],[205,166,theory(equality)])).
% cnf(883,plain,(app(X1,app(X2,nil))=app(X1,X2)|~ssList(app(X1,X2))|$false|~ssList(X2)|~ssList(X1)),inference(rw,[status(thm)],[866,134,theory(equality)])).
% cnf(884,plain,(app(X1,app(X2,nil))=app(X1,X2)|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[883,theory(equality)])).
% cnf(885,plain,(app(X1,X2)=app(nil,app(X1,X2))|~ssList(X2)|~ssList(X1)|$false),inference(rw,[status(thm)],[880,134,theory(equality)])).
% cnf(886,plain,(app(X1,X2)=app(nil,app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[885,theory(equality)])).
% cnf(891,plain,(ssList(cons(X1,app(X2,X3)))|~ssList(X3)|~ssList(cons(X1,X2))|~ssList(X2)|~ssItem(X1)),inference(spm,[status(thm)],[159,163,theory(equality)])).
% cnf(912,plain,(nil=app(X1,X2)|ssList(app(tl(X1),X2))|nil=X1|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[343,265,theory(equality)])).
% cnf(917,plain,(tl(X1)=app(tl(X1),nil)|nil=X1|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[265,215,theory(equality)])).
% cnf(918,plain,(tl(X1)=app(tl(X1),nil)|nil=X1|$false|~ssList(X1)),inference(rw,[status(thm)],[917,134,theory(equality)])).
% cnf(919,plain,(tl(X1)=app(tl(X1),nil)|nil=X1|~ssList(X1)),inference(cn,[status(thm)],[918,theory(equality)])).
% cnf(1356,negated_conjecture,(app(esk48_0,X1)=app(esk53_0,app(cons(esk52_0,nil),X1))|esk51_0=nil|~ssList(X1)|~ssList(cons(esk52_0,nil))|~ssList(esk53_0)),inference(spm,[status(thm)],[205,598,theory(equality)])).
% cnf(1360,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(esk53_0,X1)!=esk48_0|~ssList(cons(esk52_0,nil))|~ssList(esk53_0)|~ssList(X1)),inference(spm,[status(thm)],[197,598,theory(equality)])).
% cnf(1389,negated_conjecture,(app(esk51_0,X1)=app(cons(esk52_0,nil),app(esk53_0,X1))|esk51_0=nil|~ssList(X1)|~ssList(esk53_0)|~ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[205,599,theory(equality)])).
% cnf(1391,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(X1,esk53_0)!=esk51_0|~ssList(cons(esk52_0,nil))|~ssList(esk53_0)|~ssList(X1)),inference(spm,[status(thm)],[193,599,theory(equality)])).
% cnf(1399,negated_conjecture,(esk51_0=cons(esk52_0,app(nil,esk53_0))|esk51_0=nil|~ssList(nil)|~ssList(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[163,599,theory(equality)])).
% cnf(1400,negated_conjecture,(esk51_0=cons(esk52_0,esk53_0)|esk51_0=nil|~ssList(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[201,599,theory(equality)])).
% cnf(1402,negated_conjecture,(esk51_0=cons(esk52_0,app(nil,esk53_0))|esk51_0=nil|$false|~ssList(esk53_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[1399,134,theory(equality)])).
% cnf(1403,negated_conjecture,(esk51_0=cons(esk52_0,app(nil,esk53_0))|esk51_0=nil|~ssList(esk53_0)|~ssItem(esk52_0)),inference(cn,[status(thm)],[1402,theory(equality)])).
% cnf(1411,negated_conjecture,(cons(esk52_0,esk53_0)=esk51_0|esk51_0=nil|~ssList(esk53_0)),inference(csr,[status(thm)],[1400,595])).
% cnf(1412,negated_conjecture,(cons(esk52_0,esk53_0)=esk51_0|esk51_0=nil),inference(csr,[status(thm)],[1411,596])).
% cnf(1420,negated_conjecture,(hd(esk51_0)=esk52_0|esk51_0=nil|~ssList(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[269,1412,theory(equality)])).
% cnf(1421,negated_conjecture,(tl(esk51_0)=esk53_0|esk51_0=nil|~ssList(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[273,1412,theory(equality)])).
% cnf(1422,negated_conjecture,(app(esk51_0,X1)=cons(esk52_0,app(esk53_0,X1))|esk51_0=nil|~ssList(esk53_0)|~ssList(X1)|~ssItem(esk52_0)),inference(spm,[status(thm)],[163,1412,theory(equality)])).
% cnf(1447,plain,(ssList(esk20_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[324,615,theory(equality)])).
% cnf(1448,plain,(app(nil,esk20_2(nil,nil))=nil|~ssList(nil)),inference(spm,[status(thm)],[323,615,theory(equality)])).
% cnf(1451,plain,(ssList(esk20_2(nil,nil))|$false),inference(rw,[status(thm)],[1447,134,theory(equality)])).
% cnf(1452,plain,(ssList(esk20_2(nil,nil))),inference(cn,[status(thm)],[1451,theory(equality)])).
% cnf(1453,plain,(app(nil,esk20_2(nil,nil))=nil|$false),inference(rw,[status(thm)],[1448,134,theory(equality)])).
% cnf(1454,plain,(app(nil,esk20_2(nil,nil))=nil),inference(cn,[status(thm)],[1453,theory(equality)])).
% cnf(1462,plain,(rearsegP(app(X1,nil),nil)|~ssList(X1)|~ssList(nil)),inference(spm,[status(thm)],[435,618,theory(equality)])).
% cnf(1468,plain,(rearsegP(app(X1,nil),nil)|~ssList(X1)|$false),inference(rw,[status(thm)],[1462,134,theory(equality)])).
% cnf(1469,plain,(rearsegP(app(X1,nil),nil)|~ssList(X1)),inference(cn,[status(thm)],[1468,theory(equality)])).
% cnf(1477,negated_conjecture,(cons(esk52_0,app(nil,esk53_0))=esk51_0|esk51_0=nil|~ssList(esk53_0)),inference(csr,[status(thm)],[1403,595])).
% cnf(1478,negated_conjecture,(cons(esk52_0,app(nil,esk53_0))=esk51_0|esk51_0=nil),inference(csr,[status(thm)],[1477,596])).
% cnf(1487,negated_conjecture,(tl(esk51_0)=app(nil,esk53_0)|esk51_0=nil|~ssList(app(nil,esk53_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[273,1478,theory(equality)])).
% cnf(1523,plain,(nil=esk20_2(nil,nil)|~ssList(esk20_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[212,1454,theory(equality)])).
% cnf(1550,plain,(nil=esk20_2(nil,nil)|$false|~ssList(nil)),inference(rw,[status(thm)],[1523,1452,theory(equality)])).
% cnf(1551,plain,(nil=esk20_2(nil,nil)|$false|$false),inference(rw,[status(thm)],[1550,134,theory(equality)])).
% cnf(1552,plain,(nil=esk20_2(nil,nil)),inference(cn,[status(thm)],[1551,theory(equality)])).
% cnf(1565,plain,(app(nil,nil)=nil),inference(rw,[status(thm)],[1454,1552,theory(equality)])).
% cnf(1655,negated_conjecture,(hd(esk51_0)=esk52_0|esk51_0=nil|~ssList(esk53_0)),inference(csr,[status(thm)],[1420,595])).
% cnf(1656,negated_conjecture,(hd(esk51_0)=esk52_0|esk51_0=nil),inference(csr,[status(thm)],[1655,596])).
% cnf(1658,negated_conjecture,(cons(esk52_0,tl(esk51_0))=esk51_0|nil=esk51_0|~ssList(esk51_0)),inference(spm,[status(thm)],[438,1656,theory(equality)])).
% cnf(1665,negated_conjecture,(cons(esk52_0,tl(esk51_0))=esk51_0|nil=esk51_0|$false),inference(rw,[status(thm)],[1658,588,theory(equality)])).
% cnf(1666,negated_conjecture,(cons(esk52_0,tl(esk51_0))=esk51_0|nil=esk51_0),inference(cn,[status(thm)],[1665,theory(equality)])).
% cnf(1706,negated_conjecture,(tl(esk51_0)=esk53_0|esk51_0=nil|~ssList(esk53_0)),inference(csr,[status(thm)],[1421,595])).
% cnf(1707,negated_conjecture,(tl(esk51_0)=esk53_0|esk51_0=nil),inference(csr,[status(thm)],[1706,596])).
% cnf(1754,negated_conjecture,(tl(esk51_0)=app(nil,esk53_0)|esk51_0=nil|~ssList(app(nil,esk53_0))),inference(csr,[status(thm)],[1487,595])).
% cnf(1756,negated_conjecture,(tl(esk51_0)=app(nil,esk53_0)|esk51_0=nil|~ssList(esk53_0)|~ssList(nil)),inference(spm,[status(thm)],[1754,159,theory(equality)])).
% cnf(1757,negated_conjecture,(tl(esk51_0)=app(nil,esk53_0)|esk51_0=nil|~ssList(esk53_0)|$false),inference(rw,[status(thm)],[1756,134,theory(equality)])).
% cnf(1758,negated_conjecture,(tl(esk51_0)=app(nil,esk53_0)|esk51_0=nil|~ssList(esk53_0)),inference(cn,[status(thm)],[1757,theory(equality)])).
% cnf(1760,negated_conjecture,(tl(esk51_0)=app(nil,esk53_0)|esk51_0=nil),inference(csr,[status(thm)],[1758,596])).
% cnf(1761,negated_conjecture,(nil=esk51_0|ssList(app(nil,esk53_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[343,1760,theory(equality)])).
% cnf(1763,negated_conjecture,(app(nil,esk53_0)=esk53_0|esk51_0=nil),inference(spm,[status(thm)],[1707,1760,theory(equality)])).
% cnf(1766,negated_conjecture,(nil=esk51_0|ssList(app(nil,esk53_0))|$false),inference(rw,[status(thm)],[1761,588,theory(equality)])).
% cnf(1767,negated_conjecture,(nil=esk51_0|ssList(app(nil,esk53_0))),inference(cn,[status(thm)],[1766,theory(equality)])).
% cnf(1771,negated_conjecture,(app(esk53_0,X1)=app(nil,app(esk53_0,X1))|esk51_0=nil|~ssList(X1)|~ssList(esk53_0)|~ssList(nil)),inference(spm,[status(thm)],[205,1763,theory(equality)])).
% cnf(1785,negated_conjecture,(app(esk53_0,X1)=app(nil,app(esk53_0,X1))|esk51_0=nil|~ssList(X1)|~ssList(esk53_0)|$false),inference(rw,[status(thm)],[1771,134,theory(equality)])).
% cnf(1786,negated_conjecture,(app(esk53_0,X1)=app(nil,app(esk53_0,X1))|esk51_0=nil|~ssList(X1)|~ssList(esk53_0)),inference(cn,[status(thm)],[1785,theory(equality)])).
% cnf(2105,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(esk53_0,X1)!=esk48_0|~ssList(cons(esk52_0,nil))|~ssList(X1)),inference(csr,[status(thm)],[1360,596])).
% cnf(2106,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(esk53_0,X1)!=esk48_0|~ssList(X1)|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[2105,133,theory(equality)])).
% cnf(2107,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(esk53_0,X1)!=esk48_0|~ssList(X1)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2106,134,theory(equality)])).
% cnf(2108,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(esk53_0,X1)!=esk48_0|~ssList(X1)|~ssItem(esk52_0)),inference(cn,[status(thm)],[2107,theory(equality)])).
% cnf(2113,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(esk53_0,X1)!=esk48_0|~ssList(X1)),inference(csr,[status(thm)],[2108,595])).
% cnf(2122,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(X1,esk53_0)!=esk51_0|~ssList(cons(esk52_0,nil))|~ssList(X1)),inference(csr,[status(thm)],[1391,596])).
% cnf(2123,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(X1,esk53_0)!=esk51_0|~ssList(X1)|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[2122,133,theory(equality)])).
% cnf(2124,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(X1,esk53_0)!=esk51_0|~ssList(X1)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2123,134,theory(equality)])).
% cnf(2125,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(X1,esk53_0)!=esk51_0|~ssList(X1)|~ssItem(esk52_0)),inference(cn,[status(thm)],[2124,theory(equality)])).
% cnf(2126,negated_conjecture,(X1=cons(esk52_0,nil)|esk51_0=nil|app(X1,esk53_0)!=esk51_0|~ssList(X1)),inference(csr,[status(thm)],[2125,595])).
% cnf(2131,negated_conjecture,(app(X1,X2)=cons(esk52_0,nil)|esk51_0=nil|app(X1,app(X2,esk53_0))!=esk51_0|~ssList(app(X1,X2))|~ssList(esk53_0)|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[2126,205,theory(equality)])).
% cnf(2802,negated_conjecture,(app(nil,app(esk53_0,X1))=app(esk53_0,X1)|esk51_0=nil|~ssList(X1)),inference(csr,[status(thm)],[1786,596])).
% cnf(3159,negated_conjecture,(cons(esk52_0,app(esk53_0,X1))=app(esk51_0,X1)|esk51_0=nil|~ssList(esk53_0)|~ssList(X1)),inference(csr,[status(thm)],[1422,595])).
% cnf(3160,negated_conjecture,(cons(esk52_0,app(esk53_0,X1))=app(esk51_0,X1)|esk51_0=nil|~ssList(X1)),inference(csr,[status(thm)],[3159,596])).
% cnf(3170,negated_conjecture,(app(app(esk51_0,X1),X2)=cons(esk52_0,app(app(esk53_0,X1),X2))|esk51_0=nil|~ssList(app(esk53_0,X1))|~ssList(X2)|~ssItem(esk52_0)|~ssList(X1)),inference(spm,[status(thm)],[163,3160,theory(equality)])).
% cnf(3193,negated_conjecture,(cons(esk52_0,esk53_0)=app(esk51_0,nil)|esk51_0=nil|~ssList(nil)|~ssList(esk53_0)),inference(spm,[status(thm)],[3160,215,theory(equality)])).
% cnf(3195,negated_conjecture,(cons(esk52_0,esk53_0)=app(esk51_0,nil)|esk51_0=nil|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[3193,134,theory(equality)])).
% cnf(3196,negated_conjecture,(cons(esk52_0,esk53_0)=app(esk51_0,nil)|esk51_0=nil|~ssList(esk53_0)),inference(cn,[status(thm)],[3195,theory(equality)])).
% cnf(3197,negated_conjecture,(app(esk51_0,nil)=cons(esk52_0,esk53_0)|esk51_0=nil),inference(csr,[status(thm)],[3196,596])).
% cnf(3204,negated_conjecture,(X1=esk51_0|esk51_0=nil|app(X1,nil)!=cons(esk52_0,esk53_0)|~ssList(esk51_0)|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[193,3197,theory(equality)])).
% cnf(3213,negated_conjecture,(rearsegP(cons(esk52_0,esk53_0),nil)|esk51_0=nil|~ssList(esk51_0)),inference(spm,[status(thm)],[1469,3197,theory(equality)])).
% cnf(3232,negated_conjecture,(X1=esk51_0|esk51_0=nil|app(X1,nil)!=cons(esk52_0,esk53_0)|$false|~ssList(nil)|~ssList(X1)),inference(rw,[status(thm)],[3204,588,theory(equality)])).
% cnf(3233,negated_conjecture,(X1=esk51_0|esk51_0=nil|app(X1,nil)!=cons(esk52_0,esk53_0)|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[3232,134,theory(equality)])).
% cnf(3234,negated_conjecture,(X1=esk51_0|esk51_0=nil|app(X1,nil)!=cons(esk52_0,esk53_0)|~ssList(X1)),inference(cn,[status(thm)],[3233,theory(equality)])).
% cnf(3257,negated_conjecture,(rearsegP(cons(esk52_0,esk53_0),nil)|esk51_0=nil|$false),inference(rw,[status(thm)],[3213,588,theory(equality)])).
% cnf(3258,negated_conjecture,(rearsegP(cons(esk52_0,esk53_0),nil)|esk51_0=nil),inference(cn,[status(thm)],[3257,theory(equality)])).
% cnf(3520,negated_conjecture,(esk51_0=nil|rearsegP(esk51_0,nil)),inference(spm,[status(thm)],[3258,1412,theory(equality)])).
% cnf(3531,negated_conjecture,(ssList(esk21_2(esk51_0,nil))|esk51_0=nil|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[332,3520,theory(equality)])).
% cnf(3532,negated_conjecture,(app(esk21_2(esk51_0,nil),nil)=esk51_0|esk51_0=nil|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[331,3520,theory(equality)])).
% cnf(3536,negated_conjecture,(ssList(esk21_2(esk51_0,nil))|esk51_0=nil|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[3531,134,theory(equality)])).
% cnf(3537,negated_conjecture,(ssList(esk21_2(esk51_0,nil))|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[3536,588,theory(equality)])).
% cnf(3538,negated_conjecture,(ssList(esk21_2(esk51_0,nil))|esk51_0=nil),inference(cn,[status(thm)],[3537,theory(equality)])).
% cnf(3539,negated_conjecture,(app(esk21_2(esk51_0,nil),nil)=esk51_0|esk51_0=nil|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[3532,134,theory(equality)])).
% cnf(3540,negated_conjecture,(app(esk21_2(esk51_0,nil),nil)=esk51_0|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[3539,588,theory(equality)])).
% cnf(3541,negated_conjecture,(app(esk21_2(esk51_0,nil),nil)=esk51_0|esk51_0=nil),inference(cn,[status(thm)],[3540,theory(equality)])).
% cnf(3564,negated_conjecture,(esk51_0=esk21_2(esk51_0,nil)|esk51_0=nil|~ssList(esk21_2(esk51_0,nil))),inference(spm,[status(thm)],[215,3541,theory(equality)])).
% cnf(3599,negated_conjecture,(esk21_2(esk51_0,nil)=esk51_0|esk51_0=nil),inference(csr,[status(thm)],[3564,3538])).
% cnf(3602,negated_conjecture,(app(esk51_0,nil)=esk51_0|esk51_0=nil),inference(spm,[status(thm)],[3541,3599,theory(equality)])).
% cnf(3609,negated_conjecture,(tl(esk51_0)=app(tl(esk51_0),nil)|nil=esk51_0|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[265,3602,theory(equality)])).
% cnf(3629,negated_conjecture,(tl(esk51_0)=app(tl(esk51_0),nil)|nil=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[3609,134,theory(equality)])).
% cnf(3630,negated_conjecture,(tl(esk51_0)=app(tl(esk51_0),nil)|nil=esk51_0|$false|$false),inference(rw,[status(thm)],[3629,588,theory(equality)])).
% cnf(3631,negated_conjecture,(tl(esk51_0)=app(tl(esk51_0),nil)|nil=esk51_0),inference(cn,[status(thm)],[3630,theory(equality)])).
% cnf(3663,plain,(cons(X1,tl(cons(X1,X2)))=cons(X1,X2)|cons(X1,X2)=nil|~ssList(X2)|~ssItem(X1)),inference(csr,[status(thm)],[709,133])).
% cnf(3664,plain,(cons(X1,tl(cons(X1,X2)))=cons(X1,X2)|~ssList(X2)|~ssItem(X1)),inference(csr,[status(thm)],[3663,155])).
% cnf(3847,negated_conjecture,(app(esk53_0,nil)=esk53_0|esk51_0=nil),inference(spm,[status(thm)],[3631,1707,theory(equality)])).
% cnf(3848,negated_conjecture,(app(app(nil,esk53_0),nil)=app(nil,esk53_0)|esk51_0=nil),inference(spm,[status(thm)],[3631,1760,theory(equality)])).
% cnf(3934,negated_conjecture,(app(nil,esk53_0)=app(nil,app(esk53_0,nil))|esk51_0=nil|~ssList(nil)|~ssList(esk53_0)),inference(spm,[status(thm)],[205,3848,theory(equality)])).
% cnf(3962,negated_conjecture,(app(nil,esk53_0)=app(nil,app(esk53_0,nil))|esk51_0=nil|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[3934,134,theory(equality)])).
% cnf(3963,negated_conjecture,(app(nil,esk53_0)=app(nil,app(esk53_0,nil))|esk51_0=nil|~ssList(esk53_0)),inference(cn,[status(thm)],[3962,theory(equality)])).
% cnf(3971,negated_conjecture,(app(nil,app(esk53_0,nil))=app(nil,esk53_0)|esk51_0=nil),inference(csr,[status(thm)],[3963,596])).
% cnf(3990,negated_conjecture,(app(nil,esk53_0)=app(esk53_0,nil)|esk51_0=nil|~ssList(nil)),inference(spm,[status(thm)],[2802,3971,theory(equality)])).
% cnf(4013,negated_conjecture,(app(nil,esk53_0)=app(esk53_0,nil)|esk51_0=nil|$false),inference(rw,[status(thm)],[3990,134,theory(equality)])).
% cnf(4014,negated_conjecture,(app(nil,esk53_0)=app(esk53_0,nil)|esk51_0=nil),inference(cn,[status(thm)],[4013,theory(equality)])).
% cnf(4031,negated_conjecture,(cons(esk52_0,app(nil,esk53_0))=app(esk51_0,nil)|esk51_0=nil|~ssList(nil)),inference(spm,[status(thm)],[3160,4014,theory(equality)])).
% cnf(4062,negated_conjecture,(cons(esk52_0,app(nil,esk53_0))=app(esk51_0,nil)|esk51_0=nil|$false),inference(rw,[status(thm)],[4031,134,theory(equality)])).
% cnf(4063,negated_conjecture,(cons(esk52_0,app(nil,esk53_0))=app(esk51_0,nil)|esk51_0=nil),inference(cn,[status(thm)],[4062,theory(equality)])).
% cnf(4088,negated_conjecture,(esk51_0=nil|app(esk51_0,nil)!=nil|~ssList(app(nil,esk53_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[155,4063,theory(equality)])).
% cnf(4090,negated_conjecture,(ssList(app(esk51_0,nil))|esk51_0=nil|~ssList(app(nil,esk53_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[133,4063,theory(equality)])).
% cnf(4095,negated_conjecture,(cons(esk52_0,tl(app(esk51_0,nil)))=app(esk51_0,nil)|esk51_0=nil|~ssList(app(nil,esk53_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[3664,4063,theory(equality)])).
% cnf(4121,negated_conjecture,(esk51_0=nil|app(esk51_0,nil)!=nil|~ssList(app(nil,esk53_0))),inference(csr,[status(thm)],[4088,595])).
% cnf(4122,negated_conjecture,(esk51_0=nil|app(esk51_0,nil)!=nil),inference(csr,[status(thm)],[4121,1767])).
% cnf(4195,negated_conjecture,(esk51_0=nil|ssList(app(esk51_0,nil))|~ssList(app(nil,esk53_0))),inference(csr,[status(thm)],[4090,595])).
% cnf(4196,negated_conjecture,(esk51_0=nil|ssList(app(esk51_0,nil))),inference(csr,[status(thm)],[4195,1767])).
% cnf(4732,negated_conjecture,(cons(esk52_0,tl(app(esk51_0,nil)))=app(esk51_0,nil)|esk51_0=nil|~ssList(app(nil,esk53_0))),inference(csr,[status(thm)],[4095,595])).
% cnf(4733,negated_conjecture,(cons(esk52_0,tl(app(esk51_0,nil)))=app(esk51_0,nil)|esk51_0=nil),inference(csr,[status(thm)],[4732,1767])).
% cnf(4771,negated_conjecture,(cons(esk52_0,app(tl(esk51_0),nil))=app(esk51_0,nil)|esk51_0=nil|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[4733,265,theory(equality)])).
% cnf(4775,negated_conjecture,(cons(esk52_0,app(tl(esk51_0),nil))=app(esk51_0,nil)|esk51_0=nil|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[4771,134,theory(equality)])).
% cnf(4776,negated_conjecture,(cons(esk52_0,app(tl(esk51_0),nil))=app(esk51_0,nil)|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[4775,588,theory(equality)])).
% cnf(4777,negated_conjecture,(cons(esk52_0,app(tl(esk51_0),nil))=app(esk51_0,nil)|esk51_0=nil),inference(cn,[status(thm)],[4776,theory(equality)])).
% cnf(4857,negated_conjecture,(cons(esk52_0,app(esk53_0,nil))=app(esk51_0,nil)|esk51_0=nil),inference(spm,[status(thm)],[4777,1707,theory(equality)])).
% cnf(4858,negated_conjecture,(cons(esk52_0,app(app(nil,esk53_0),nil))=app(esk51_0,nil)|esk51_0=nil),inference(spm,[status(thm)],[4777,1760,theory(equality)])).
% cnf(4870,negated_conjecture,(tl(app(esk51_0,nil))=app(esk53_0,nil)|esk51_0=nil|~ssList(app(esk53_0,nil))|~ssItem(esk52_0)),inference(spm,[status(thm)],[273,4857,theory(equality)])).
% cnf(5096,negated_conjecture,(tl(app(esk51_0,nil))=app(app(nil,esk53_0),nil)|esk51_0=nil|~ssList(app(app(nil,esk53_0),nil))|~ssItem(esk52_0)),inference(spm,[status(thm)],[273,4858,theory(equality)])).
% cnf(5417,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[767,159])).
% cnf(5425,negated_conjecture,(frontsegP(esk48_0,esk53_0)|esk51_0=nil|~ssList(cons(esk52_0,nil))|~ssList(esk53_0)),inference(spm,[status(thm)],[5417,598,theory(equality)])).
% cnf(6122,negated_conjecture,(esk51_0=nil|frontsegP(esk48_0,esk53_0)|~ssList(cons(esk52_0,nil))),inference(csr,[status(thm)],[5425,596])).
% cnf(6123,negated_conjecture,(esk51_0=nil|frontsegP(esk48_0,esk53_0)|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[6122,133,theory(equality)])).
% cnf(6125,negated_conjecture,(esk51_0=nil|frontsegP(esk48_0,esk53_0)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[6123,134,theory(equality)])).
% cnf(6126,negated_conjecture,(esk51_0=nil|frontsegP(esk48_0,esk53_0)|~ssItem(esk52_0)),inference(cn,[status(thm)],[6125,theory(equality)])).
% cnf(6144,negated_conjecture,(esk51_0=nil|frontsegP(esk48_0,esk53_0)),inference(csr,[status(thm)],[6126,595])).
% cnf(6145,negated_conjecture,(ssList(esk20_2(esk48_0,esk53_0))|esk51_0=nil|~ssList(esk53_0)|~ssList(esk48_0)),inference(spm,[status(thm)],[324,6144,theory(equality)])).
% cnf(6147,negated_conjecture,(app(esk53_0,esk20_2(esk48_0,esk53_0))=esk48_0|esk51_0=nil|~ssList(esk53_0)|~ssList(esk48_0)),inference(spm,[status(thm)],[323,6144,theory(equality)])).
% cnf(6150,negated_conjecture,(ssList(esk20_2(esk48_0,esk53_0))|esk51_0=nil|~ssList(esk53_0)|$false),inference(rw,[status(thm)],[6145,573,theory(equality)])).
% cnf(6151,negated_conjecture,(ssList(esk20_2(esk48_0,esk53_0))|esk51_0=nil|~ssList(esk53_0)),inference(cn,[status(thm)],[6150,theory(equality)])).
% cnf(6154,negated_conjecture,(app(esk53_0,esk20_2(esk48_0,esk53_0))=esk48_0|esk51_0=nil|~ssList(esk53_0)|$false),inference(rw,[status(thm)],[6147,573,theory(equality)])).
% cnf(6155,negated_conjecture,(app(esk53_0,esk20_2(esk48_0,esk53_0))=esk48_0|esk51_0=nil|~ssList(esk53_0)),inference(cn,[status(thm)],[6154,theory(equality)])).
% cnf(6161,negated_conjecture,(esk51_0=nil|ssList(esk20_2(esk48_0,esk53_0))),inference(csr,[status(thm)],[6151,596])).
% cnf(6281,negated_conjecture,(app(esk53_0,esk20_2(esk48_0,esk53_0))=esk48_0|esk51_0=nil),inference(csr,[status(thm)],[6155,596])).
% cnf(6304,negated_conjecture,(esk20_2(esk48_0,esk53_0)=cons(esk52_0,nil)|esk51_0=nil|~ssList(esk20_2(esk48_0,esk53_0))),inference(spm,[status(thm)],[2113,6281,theory(equality)])).
% cnf(7097,negated_conjecture,(tl(app(esk51_0,nil))=app(esk53_0,nil)|esk51_0=nil|~ssList(app(esk53_0,nil))),inference(csr,[status(thm)],[4870,595])).
% cnf(7101,negated_conjecture,(tl(app(esk51_0,nil))=app(esk53_0,nil)|esk51_0=nil|~ssList(nil)|~ssList(esk53_0)),inference(spm,[status(thm)],[7097,159,theory(equality)])).
% cnf(7102,negated_conjecture,(tl(app(esk51_0,nil))=app(esk53_0,nil)|esk51_0=nil|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[7101,134,theory(equality)])).
% cnf(7103,negated_conjecture,(tl(app(esk51_0,nil))=app(esk53_0,nil)|esk51_0=nil|~ssList(esk53_0)),inference(cn,[status(thm)],[7102,theory(equality)])).
% cnf(7227,negated_conjecture,(tl(app(esk51_0,nil))=app(esk53_0,nil)|esk51_0=nil),inference(csr,[status(thm)],[7103,596])).
% cnf(7228,negated_conjecture,(nil=app(esk51_0,nil)|ssList(app(esk53_0,nil))|esk51_0=nil|~ssList(app(esk51_0,nil))),inference(spm,[status(thm)],[343,7227,theory(equality)])).
% cnf(7292,negated_conjecture,(app(esk51_0,nil)=nil|esk51_0=nil|ssList(app(esk53_0,nil))),inference(csr,[status(thm)],[7228,4196])).
% cnf(7293,negated_conjecture,(esk51_0=nil|ssList(app(esk53_0,nil))),inference(csr,[status(thm)],[7292,4122])).
% cnf(7946,plain,(segmentP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)|~ssList(app(X1,X2))),inference(er,[status(thm)],[833,theory(equality)])).
% cnf(7948,negated_conjecture,(segmentP(X1,esk53_0)|esk51_0=nil|esk48_0!=X1|~ssList(esk20_2(esk48_0,esk53_0))|~ssList(esk53_0)|~ssList(X1)),inference(spm,[status(thm)],[833,6281,theory(equality)])).
% cnf(8091,plain,(segmentP(app(cons(X1,X2),X3),X2)|~ssList(cons(X1,nil))|~ssList(X3)|~ssList(X2)|~ssList(app(cons(X1,X2),X3))|~ssItem(X1)),inference(er,[status(thm)],[829,theory(equality)])).
% cnf(10377,plain,(app(X1,app(X2,nil))=app(X1,X2)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[884,159])).
% cnf(14839,plain,(ssList(cons(X1,app(X2,X3)))|~ssList(X2)|~ssList(X3)|~ssItem(X1)),inference(csr,[status(thm)],[891,133])).
% cnf(14877,plain,(ssList(cons(X1,nil))|~ssList(nil)|~ssItem(X1)),inference(spm,[status(thm)],[14839,1565,theory(equality)])).
% cnf(14992,plain,(ssList(cons(X1,nil))|$false|~ssItem(X1)),inference(rw,[status(thm)],[14877,134,theory(equality)])).
% cnf(14993,plain,(ssList(cons(X1,nil))|~ssItem(X1)),inference(cn,[status(thm)],[14992,theory(equality)])).
% cnf(17642,plain,(app(X1,X2)=nil|nil=X1|ssList(app(tl(X1),X2))|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[912,159])).
% cnf(17643,plain,(nil=X1|ssList(app(tl(X1),X2))|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[17642,211])).
% cnf(17644,negated_conjecture,(nil=esk51_0|ssList(app(esk53_0,X1))|~ssList(X1)|~ssList(esk51_0)),inference(spm,[status(thm)],[17643,1707,theory(equality)])).
% cnf(17666,negated_conjecture,(nil=esk51_0|ssList(app(esk53_0,X1))|~ssList(X1)|$false),inference(rw,[status(thm)],[17644,588,theory(equality)])).
% cnf(17667,negated_conjecture,(nil=esk51_0|ssList(app(esk53_0,X1))|~ssList(X1)),inference(cn,[status(thm)],[17666,theory(equality)])).
% cnf(19875,negated_conjecture,(esk20_2(esk48_0,esk53_0)=cons(esk52_0,nil)|esk51_0=nil),inference(csr,[status(thm)],[6304,6161])).
% cnf(19877,negated_conjecture,(esk51_0=nil|ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[6161,19875,theory(equality)])).
% cnf(27903,negated_conjecture,(tl(app(esk51_0,nil))=app(app(nil,esk53_0),nil)|esk51_0=nil|~ssList(app(app(nil,esk53_0),nil))),inference(csr,[status(thm)],[5096,595])).
% cnf(27911,negated_conjecture,(tl(app(esk51_0,nil))=app(app(nil,esk53_0),nil)|esk51_0=nil|~ssList(nil)|~ssList(app(nil,esk53_0))),inference(spm,[status(thm)],[27903,159,theory(equality)])).
% cnf(27915,negated_conjecture,(tl(app(esk51_0,nil))=app(app(nil,esk53_0),nil)|esk51_0=nil|$false|~ssList(app(nil,esk53_0))),inference(rw,[status(thm)],[27911,134,theory(equality)])).
% cnf(27916,negated_conjecture,(tl(app(esk51_0,nil))=app(app(nil,esk53_0),nil)|esk51_0=nil|~ssList(app(nil,esk53_0))),inference(cn,[status(thm)],[27915,theory(equality)])).
% cnf(28128,negated_conjecture,(tl(app(esk51_0,nil))=app(app(nil,esk53_0),nil)|esk51_0=nil),inference(csr,[status(thm)],[27916,1767])).
% cnf(28150,negated_conjecture,(tl(esk51_0)=app(app(nil,esk53_0),nil)|esk51_0=nil|~ssList(esk51_0)),inference(spm,[status(thm)],[28128,215,theory(equality)])).
% cnf(28162,negated_conjecture,(tl(esk51_0)=app(app(nil,esk53_0),nil)|esk51_0=nil|$false),inference(rw,[status(thm)],[28150,588,theory(equality)])).
% cnf(28163,negated_conjecture,(tl(esk51_0)=app(app(nil,esk53_0),nil)|esk51_0=nil),inference(cn,[status(thm)],[28162,theory(equality)])).
% cnf(28947,negated_conjecture,(app(app(app(nil,esk53_0),nil),nil)=app(app(nil,esk53_0),nil)|nil=esk51_0|~ssList(esk51_0)),inference(spm,[status(thm)],[919,28163,theory(equality)])).
% cnf(28952,negated_conjecture,(cons(esk52_0,app(app(nil,esk53_0),nil))=esk51_0|esk51_0=nil),inference(spm,[status(thm)],[1666,28163,theory(equality)])).
% cnf(28984,negated_conjecture,(app(app(app(nil,esk53_0),nil),nil)=app(app(nil,esk53_0),nil)|nil=esk51_0|$false),inference(rw,[status(thm)],[28947,588,theory(equality)])).
% cnf(28985,negated_conjecture,(app(app(app(nil,esk53_0),nil),nil)=app(app(nil,esk53_0),nil)|nil=esk51_0),inference(cn,[status(thm)],[28984,theory(equality)])).
% cnf(29658,negated_conjecture,(cons(esk52_0,app(nil,app(esk53_0,nil)))=esk51_0|esk51_0=nil|~ssList(nil)|~ssList(esk53_0)),inference(spm,[status(thm)],[28952,205,theory(equality)])).
% cnf(29684,negated_conjecture,(cons(esk52_0,app(nil,app(esk53_0,nil)))=esk51_0|esk51_0=nil|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[29658,134,theory(equality)])).
% cnf(29685,negated_conjecture,(cons(esk52_0,app(nil,app(esk53_0,nil)))=esk51_0|esk51_0=nil|~ssList(esk53_0)),inference(cn,[status(thm)],[29684,theory(equality)])).
% cnf(30299,negated_conjecture,(cons(esk52_0,app(nil,app(esk53_0,nil)))=esk51_0|esk51_0=nil),inference(csr,[status(thm)],[29685,596])).
% cnf(35384,negated_conjecture,(app(app(nil,app(esk53_0,nil)),nil)=app(nil,app(esk53_0,nil))|esk51_0=nil|~ssList(nil)|~ssList(esk53_0)),inference(spm,[status(thm)],[28985,205,theory(equality)])).
% cnf(35505,negated_conjecture,(app(app(nil,app(esk53_0,nil)),nil)=app(nil,app(esk53_0,nil))|esk51_0=nil|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[35384,134,theory(equality)])).
% cnf(35506,negated_conjecture,(app(app(nil,app(esk53_0,nil)),nil)=app(nil,app(esk53_0,nil))|esk51_0=nil|~ssList(esk53_0)),inference(cn,[status(thm)],[35505,theory(equality)])).
% cnf(38458,negated_conjecture,(app(app(nil,app(esk53_0,nil)),nil)=app(nil,app(esk53_0,nil))|esk51_0=nil),inference(csr,[status(thm)],[35506,596])).
% cnf(38518,negated_conjecture,(app(nil,app(esk53_0,nil))=app(nil,app(app(esk53_0,nil),nil))|esk51_0=nil|~ssList(nil)|~ssList(app(esk53_0,nil))),inference(spm,[status(thm)],[205,38458,theory(equality)])).
% cnf(38649,negated_conjecture,(app(nil,app(esk53_0,nil))=app(nil,app(app(esk53_0,nil),nil))|esk51_0=nil|$false|~ssList(app(esk53_0,nil))),inference(rw,[status(thm)],[38518,134,theory(equality)])).
% cnf(38650,negated_conjecture,(app(nil,app(esk53_0,nil))=app(nil,app(app(esk53_0,nil),nil))|esk51_0=nil|~ssList(app(esk53_0,nil))),inference(cn,[status(thm)],[38649,theory(equality)])).
% cnf(42786,negated_conjecture,(app(nil,app(app(esk53_0,nil),nil))=app(nil,app(esk53_0,nil))|esk51_0=nil),inference(csr,[status(thm)],[38650,7293])).
% cnf(42872,negated_conjecture,(app(nil,app(esk53_0,nil))=app(app(esk53_0,nil),nil)|esk51_0=nil|~ssList(nil)|~ssList(app(esk53_0,nil))),inference(spm,[status(thm)],[886,42786,theory(equality)])).
% cnf(43033,negated_conjecture,(app(nil,app(esk53_0,nil))=app(app(esk53_0,nil),nil)|esk51_0=nil|$false|~ssList(app(esk53_0,nil))),inference(rw,[status(thm)],[42872,134,theory(equality)])).
% cnf(43034,negated_conjecture,(app(nil,app(esk53_0,nil))=app(app(esk53_0,nil),nil)|esk51_0=nil|~ssList(app(esk53_0,nil))),inference(cn,[status(thm)],[43033,theory(equality)])).
% cnf(44145,negated_conjecture,(app(app(esk53_0,nil),nil)=app(nil,app(esk53_0,nil))|esk51_0=nil),inference(csr,[status(thm)],[43034,7293])).
% cnf(58767,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),X1))=app(esk48_0,X1)|esk51_0=nil|~ssList(cons(esk52_0,nil))|~ssList(X1)),inference(csr,[status(thm)],[1356,596])).
% cnf(58768,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),X1))=app(esk48_0,X1)|esk51_0=nil|~ssList(X1)),inference(csr,[status(thm)],[58767,19877])).
% cnf(58879,negated_conjecture,(app(esk53_0,esk51_0)=app(esk48_0,esk53_0)|esk51_0=nil|~ssList(esk53_0)),inference(spm,[status(thm)],[58768,599,theory(equality)])).
% cnf(58898,negated_conjecture,(app(esk53_0,esk51_0)=app(esk48_0,esk53_0)|esk51_0=nil),inference(csr,[status(thm)],[58879,596])).
% cnf(58935,negated_conjecture,(nil=esk51_0|app(esk48_0,esk53_0)!=nil|~ssList(esk51_0)|~ssList(esk53_0)),inference(spm,[status(thm)],[212,58898,theory(equality)])).
% cnf(59052,negated_conjecture,(nil=esk51_0|app(esk48_0,esk53_0)!=nil|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[58935,588,theory(equality)])).
% cnf(59053,negated_conjecture,(nil=esk51_0|app(esk48_0,esk53_0)!=nil|~ssList(esk53_0)),inference(cn,[status(thm)],[59052,theory(equality)])).
% cnf(59138,negated_conjecture,(esk51_0=nil|app(esk48_0,esk53_0)!=nil),inference(csr,[status(thm)],[59053,596])).
% cnf(60778,negated_conjecture,(app(cons(esk52_0,nil),app(esk53_0,X1))=app(esk51_0,X1)|esk51_0=nil|~ssList(esk53_0)|~ssList(X1)),inference(csr,[status(thm)],[1389,19877])).
% cnf(60779,negated_conjecture,(app(cons(esk52_0,nil),app(esk53_0,X1))=app(esk51_0,X1)|esk51_0=nil|~ssList(X1)),inference(csr,[status(thm)],[60778,596])).
% cnf(60892,negated_conjecture,(app(cons(esk52_0,nil),esk53_0)=app(esk51_0,nil)|esk51_0=nil|~ssList(nil)),inference(spm,[status(thm)],[60779,3847,theory(equality)])).
% cnf(60893,negated_conjecture,(app(cons(esk52_0,nil),app(nil,esk53_0))=app(esk51_0,nil)|esk51_0=nil|~ssList(nil)),inference(spm,[status(thm)],[60779,4014,theory(equality)])).
% cnf(60894,negated_conjecture,(app(cons(esk52_0,nil),esk48_0)=app(esk51_0,cons(esk52_0,nil))|esk51_0=nil|~ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[60779,598,theory(equality)])).
% cnf(60911,negated_conjecture,(app(cons(esk52_0,nil),esk53_0)=app(esk51_0,nil)|esk51_0=nil|$false),inference(rw,[status(thm)],[60892,134,theory(equality)])).
% cnf(60912,negated_conjecture,(app(cons(esk52_0,nil),esk53_0)=app(esk51_0,nil)|esk51_0=nil),inference(cn,[status(thm)],[60911,theory(equality)])).
% cnf(60913,negated_conjecture,(app(cons(esk52_0,nil),app(nil,esk53_0))=app(esk51_0,nil)|esk51_0=nil|$false),inference(rw,[status(thm)],[60893,134,theory(equality)])).
% cnf(60914,negated_conjecture,(app(cons(esk52_0,nil),app(nil,esk53_0))=app(esk51_0,nil)|esk51_0=nil),inference(cn,[status(thm)],[60913,theory(equality)])).
% cnf(60926,negated_conjecture,(app(nil,app(esk51_0,nil))=app(esk51_0,nil)|esk51_0=nil|~ssList(esk53_0)|~ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[886,60912,theory(equality)])).
% cnf(61920,negated_conjecture,(app(nil,app(esk51_0,nil))=app(esk51_0,nil)|esk51_0=nil|~ssList(esk53_0)),inference(csr,[status(thm)],[60926,19877])).
% cnf(61921,negated_conjecture,(app(nil,app(esk51_0,nil))=app(esk51_0,nil)|esk51_0=nil),inference(csr,[status(thm)],[61920,596])).
% cnf(62002,negated_conjecture,(app(esk51_0,nil)=app(nil,esk51_0)|esk51_0=nil|~ssList(esk51_0)|~ssList(nil)),inference(spm,[status(thm)],[10377,61921,theory(equality)])).
% cnf(62194,negated_conjecture,(app(esk51_0,nil)=app(nil,esk51_0)|esk51_0=nil|$false|~ssList(nil)),inference(rw,[status(thm)],[62002,588,theory(equality)])).
% cnf(62195,negated_conjecture,(app(esk51_0,nil)=app(nil,esk51_0)|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[62194,134,theory(equality)])).
% cnf(62196,negated_conjecture,(app(esk51_0,nil)=app(nil,esk51_0)|esk51_0=nil),inference(cn,[status(thm)],[62195,theory(equality)])).
% cnf(66174,negated_conjecture,(app(cons(esk52_0,nil),esk48_0)=app(esk51_0,cons(esk52_0,nil))|esk51_0=nil),inference(csr,[status(thm)],[60894,19877])).
% cnf(66211,negated_conjecture,(nil=esk48_0|esk51_0=nil|app(esk51_0,cons(esk52_0,nil))!=nil|~ssList(esk48_0)|~ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[212,66174,theory(equality)])).
% cnf(66334,negated_conjecture,(nil=esk48_0|esk51_0=nil|app(esk51_0,cons(esk52_0,nil))!=nil|$false|~ssList(cons(esk52_0,nil))),inference(rw,[status(thm)],[66211,573,theory(equality)])).
% cnf(66335,negated_conjecture,(nil=esk48_0|esk51_0=nil|app(esk51_0,cons(esk52_0,nil))!=nil|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[66334,theory(equality)])).
% cnf(66603,negated_conjecture,(esk48_0=nil|esk51_0=nil|app(esk51_0,cons(esk52_0,nil))!=nil),inference(csr,[status(thm)],[66335,19877])).
% cnf(66604,negated_conjecture,(esk48_0=nil|app(esk51_0,cons(esk52_0,nil))!=nil),inference(csr,[status(thm)],[66603,591])).
% cnf(80995,negated_conjecture,(app(X1,X2)=cons(esk52_0,nil)|esk51_0=nil|app(X1,app(X2,esk53_0))!=esk51_0|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[2131,596])).
% cnf(80996,negated_conjecture,(app(X1,X2)=cons(esk52_0,nil)|esk51_0=nil|app(X1,app(X2,esk53_0))!=esk51_0|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[80995,159])).
% cnf(81030,negated_conjecture,(app(cons(esk52_0,nil),nil)=cons(esk52_0,nil)|esk51_0=nil|app(esk51_0,nil)!=esk51_0|~ssList(nil)|~ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[80996,60914,theory(equality)])).
% cnf(81075,negated_conjecture,(app(cons(esk52_0,nil),nil)=cons(esk52_0,nil)|esk51_0=nil|app(esk51_0,nil)!=esk51_0|$false|~ssList(cons(esk52_0,nil))),inference(rw,[status(thm)],[81030,134,theory(equality)])).
% cnf(81076,negated_conjecture,(app(cons(esk52_0,nil),nil)=cons(esk52_0,nil)|esk51_0=nil|app(esk51_0,nil)!=esk51_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[81075,theory(equality)])).
% cnf(81095,negated_conjecture,(app(cons(esk52_0,nil),nil)=cons(esk52_0,nil)|esk51_0=nil|app(esk51_0,nil)!=esk51_0),inference(csr,[status(thm)],[81076,19877])).
% cnf(81096,negated_conjecture,(app(cons(esk52_0,nil),nil)=cons(esk52_0,nil)|esk51_0=nil),inference(csr,[status(thm)],[81095,3602])).
% cnf(131808,negated_conjecture,(cons(esk52_0,app(app(esk53_0,X1),X2))=app(app(esk51_0,X1),X2)|esk51_0=nil|~ssList(app(esk53_0,X1))|~ssList(X1)|~ssList(X2)),inference(csr,[status(thm)],[3170,595])).
% cnf(131809,negated_conjecture,(cons(esk52_0,app(app(esk53_0,X1),X2))=app(app(esk51_0,X1),X2)|esk51_0=nil|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[131808,17667])).
% cnf(132141,negated_conjecture,(cons(esk52_0,app(nil,app(esk53_0,nil)))=app(app(esk51_0,nil),nil)|esk51_0=nil|~ssList(nil)),inference(spm,[status(thm)],[131809,44145,theory(equality)])).
% cnf(132171,negated_conjecture,(cons(esk52_0,app(nil,app(esk53_0,nil)))=app(app(esk51_0,nil),nil)|esk51_0=nil|$false),inference(rw,[status(thm)],[132141,134,theory(equality)])).
% cnf(132172,negated_conjecture,(cons(esk52_0,app(nil,app(esk53_0,nil)))=app(app(esk51_0,nil),nil)|esk51_0=nil),inference(cn,[status(thm)],[132171,theory(equality)])).
% cnf(141541,negated_conjecture,(esk51_0=nil|cons(esk52_0,nil)=esk51_0|cons(esk52_0,nil)!=cons(esk52_0,esk53_0)|~ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[3234,81096,theory(equality)])).
% cnf(143234,negated_conjecture,(cons(esk52_0,nil)=esk51_0|esk51_0=nil|cons(esk52_0,esk53_0)!=cons(esk52_0,nil)),inference(csr,[status(thm)],[141541,19877])).
% cnf(165877,negated_conjecture,(app(app(esk51_0,nil),nil)=esk51_0|esk51_0=nil),inference(spm,[status(thm)],[30299,132172,theory(equality)])).
% cnf(166258,negated_conjecture,(app(cons(esk52_0,esk53_0),nil)=esk51_0|esk51_0=nil),inference(spm,[status(thm)],[165877,3197,theory(equality)])).
% cnf(421904,plain,(segmentP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[7946,159])).
% cnf(422403,negated_conjecture,(segmentP(esk51_0,app(esk51_0,nil))|esk51_0=nil|~ssList(nil)|~ssList(app(esk51_0,nil))),inference(spm,[status(thm)],[421904,165877,theory(equality)])).
% cnf(423079,negated_conjecture,(segmentP(esk51_0,app(esk51_0,nil))|esk51_0=nil|$false|~ssList(app(esk51_0,nil))),inference(rw,[status(thm)],[422403,134,theory(equality)])).
% cnf(423080,negated_conjecture,(segmentP(esk51_0,app(esk51_0,nil))|esk51_0=nil|~ssList(app(esk51_0,nil))),inference(cn,[status(thm)],[423079,theory(equality)])).
% cnf(423149,negated_conjecture,(esk51_0=nil|segmentP(X1,esk53_0)|esk48_0!=X1|~ssList(esk20_2(esk48_0,esk53_0))|~ssList(X1)),inference(csr,[status(thm)],[7948,596])).
% cnf(423150,negated_conjecture,(esk51_0=nil|segmentP(X1,esk53_0)|esk48_0!=X1|~ssList(X1)),inference(csr,[status(thm)],[423149,6161])).
% cnf(423151,negated_conjecture,(esk51_0=nil|segmentP(esk48_0,esk53_0)|~ssList(esk48_0)),inference(er,[status(thm)],[423150,theory(equality)])).
% cnf(423152,negated_conjecture,(esk51_0=nil|segmentP(esk48_0,esk53_0)|$false),inference(rw,[status(thm)],[423151,573,theory(equality)])).
% cnf(423153,negated_conjecture,(esk51_0=nil|segmentP(esk48_0,esk53_0)),inference(cn,[status(thm)],[423152,theory(equality)])).
% cnf(423160,negated_conjecture,(esk51_0=nil|~segmentP(esk51_0,esk53_0)|~ssList(esk53_0)|~neq(esk53_0,nil)),inference(spm,[status(thm)],[605,423153,theory(equality)])).
% cnf(423174,negated_conjecture,(esk51_0=nil|~segmentP(esk51_0,esk53_0)|~neq(esk53_0,nil)),inference(csr,[status(thm)],[423160,596])).
% cnf(423243,negated_conjecture,(esk51_0=nil|segmentP(esk51_0,app(esk51_0,nil))),inference(csr,[status(thm)],[423080,4196])).
% cnf(423253,negated_conjecture,(esk51_0=nil|segmentP(esk51_0,app(nil,esk51_0))),inference(spm,[status(thm)],[423243,62196,theory(equality)])).
% cnf(433866,plain,(segmentP(app(cons(X1,X2),X3),X2)|~ssList(app(cons(X1,X2),X3))|~ssList(X3)|~ssList(X2)|~ssItem(X1)),inference(csr,[status(thm)],[8091,14993])).
% cnf(434095,negated_conjecture,(segmentP(esk51_0,esk53_0)|esk51_0=nil|~ssList(esk51_0)|~ssList(nil)|~ssList(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[433866,166258,theory(equality)])).
% cnf(434218,negated_conjecture,(segmentP(esk51_0,esk53_0)|esk51_0=nil|$false|~ssList(nil)|~ssList(esk53_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[434095,588,theory(equality)])).
% cnf(434219,negated_conjecture,(segmentP(esk51_0,esk53_0)|esk51_0=nil|$false|$false|~ssList(esk53_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[434218,134,theory(equality)])).
% cnf(434220,negated_conjecture,(segmentP(esk51_0,esk53_0)|esk51_0=nil|~ssList(esk53_0)|~ssItem(esk52_0)),inference(cn,[status(thm)],[434219,theory(equality)])).
% cnf(434298,negated_conjecture,(esk51_0=nil|segmentP(esk51_0,esk53_0)|~ssList(esk53_0)),inference(csr,[status(thm)],[434220,595])).
% cnf(434299,negated_conjecture,(esk51_0=nil|segmentP(esk51_0,esk53_0)),inference(csr,[status(thm)],[434298,596])).
% cnf(434306,negated_conjecture,(esk51_0=nil|~neq(esk53_0,nil)),inference(spm,[status(thm)],[423174,434299,theory(equality)])).
% cnf(434320,negated_conjecture,(esk51_0=nil|esk53_0=nil|~ssList(nil)|~ssList(esk53_0)),inference(spm,[status(thm)],[434306,128,theory(equality)])).
% cnf(434321,negated_conjecture,(esk51_0=nil|esk53_0=nil|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[434320,134,theory(equality)])).
% cnf(434322,negated_conjecture,(esk51_0=nil|esk53_0=nil|~ssList(esk53_0)),inference(cn,[status(thm)],[434321,theory(equality)])).
% cnf(434323,negated_conjecture,(esk51_0=nil|esk53_0=nil),inference(csr,[status(thm)],[434322,596])).
% cnf(435077,negated_conjecture,(esk51_0=nil|app(esk48_0,nil)!=nil),inference(spm,[status(thm)],[59138,434323,theory(equality)])).
% cnf(435428,negated_conjecture,(cons(esk52_0,nil)=esk51_0|esk51_0=nil),inference(spm,[status(thm)],[143234,434323,theory(equality)])).
% cnf(438726,negated_conjecture,(esk51_0=nil|esk48_0!=nil|~ssList(esk48_0)),inference(spm,[status(thm)],[435077,215,theory(equality)])).
% cnf(438729,negated_conjecture,(esk51_0=nil|esk48_0!=nil|$false),inference(rw,[status(thm)],[438726,573,theory(equality)])).
% cnf(438730,negated_conjecture,(esk51_0=nil|esk48_0!=nil),inference(cn,[status(thm)],[438729,theory(equality)])).
% cnf(439225,negated_conjecture,(app(esk53_0,esk51_0)=esk48_0|esk51_0=nil),inference(spm,[status(thm)],[598,435428,theory(equality)])).
% cnf(439349,negated_conjecture,(esk48_0=nil|esk51_0=nil|app(esk51_0,esk51_0)!=nil),inference(spm,[status(thm)],[66604,435428,theory(equality)])).
% cnf(446391,negated_conjecture,(esk48_0=nil|app(esk51_0,esk51_0)!=nil),inference(csr,[status(thm)],[439349,591])).
% cnf(447369,negated_conjecture,(app(nil,esk51_0)=esk48_0|esk51_0=nil),inference(spm,[status(thm)],[439225,434323,theory(equality)])).
% cnf(455604,negated_conjecture,(esk51_0=nil|segmentP(esk51_0,esk48_0)),inference(spm,[status(thm)],[423253,447369,theory(equality)])).
% cnf(463804,negated_conjecture,(esk51_0=nil|~neq(esk48_0,nil)),inference(spm,[status(thm)],[612,455604,theory(equality)])).
% cnf(463826,negated_conjecture,(esk51_0=nil|esk48_0=nil|~ssList(nil)|~ssList(esk48_0)),inference(spm,[status(thm)],[463804,128,theory(equality)])).
% cnf(463827,negated_conjecture,(esk51_0=nil|esk48_0=nil|$false|~ssList(esk48_0)),inference(rw,[status(thm)],[463826,134,theory(equality)])).
% cnf(463828,negated_conjecture,(esk51_0=nil|esk48_0=nil|$false|$false),inference(rw,[status(thm)],[463827,573,theory(equality)])).
% cnf(463829,negated_conjecture,(esk51_0=nil|esk48_0=nil),inference(cn,[status(thm)],[463828,theory(equality)])).
% cnf(463830,negated_conjecture,(esk51_0=nil),inference(csr,[status(thm)],[463829,438730])).
% cnf(464731,negated_conjecture,(esk48_0=nil|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[446391,463830,theory(equality)]),463830,theory(equality)]),1565,theory(equality)])).
% cnf(464732,negated_conjecture,(esk48_0=nil),inference(cn,[status(thm)],[464731,theory(equality)])).
% cnf(470110,negated_conjecture,(neq(nil,nil)|esk48_0!=nil),inference(rw,[status(thm)],[592,463830,theory(equality)])).
% cnf(470354,negated_conjecture,(neq(nil,nil)|$false),inference(rw,[status(thm)],[470110,464732,theory(equality)])).
% cnf(470355,negated_conjecture,(neq(nil,nil)),inference(cn,[status(thm)],[470354,theory(equality)])).
% cnf(470356,negated_conjecture,(~ssList(nil)),inference(spm,[status(thm)],[634,470355,theory(equality)])).
% cnf(470362,negated_conjecture,($false),inference(rw,[status(thm)],[470356,134,theory(equality)])).
% cnf(470363,negated_conjecture,($false),inference(cn,[status(thm)],[470362,theory(equality)])).
% cnf(470364,negated_conjecture,($false),470363,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 28378
% # ...of these trivial : 27
% # ...subsumed : 22886
% # ...remaining for further processing: 5465
% # Other redundant clauses eliminated : 1207
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 1110
% # Backward-rewritten : 3498
% # Generated clauses : 259252
% # ...of the previous two non-trivial : 252838
% # Contextual simplify-reflections : 23456
% # Paramodulations : 257478
% # Factorizations : 0
% # Equation resolutions : 1774
% # Current number of processed clauses: 851
% # Positive orientable unit clauses: 23
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 2
% # Non-unit-clauses : 826
% # Current number of unprocessed clauses: 17361
% # ...number of literals in the above : 155623
% # Clause-clause subsumption calls (NU) : 8097027
% # Rec. Clause-clause subsumption calls : 4862851
% # Unit Clause-clause subsumption calls : 413
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 8
% # Indexed BW rewrite successes : 8
% # Backwards rewriting index: 670 leaves, 1.66+/-1.516 terms/leaf
% # Paramod-from index: 233 leaves, 1.02+/-0.145 terms/leaf
% # Paramod-into index: 422 leaves, 1.53+/-1.398 terms/leaf
% # -------------------------------------------------
% # User time : 18.621 s
% # System time : 0.420 s
% # Total time : 19.041 s
% # Maximum resident set size: 0 pages
% PrfWatch: 26.63 CPU 27.25 WC
% FINAL PrfWatch: 26.63 CPU 27.25 WC
% SZS output end Solution for /tmp/SystemOnTPTP18555/SWC061+1.tptp
%
%------------------------------------------------------------------------------