%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC117+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 : art04.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 07:05:59 EST 2010
% Result : Theorem 5.62s
% Output : Solution 5.62s
% 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/SystemOnTPTP23042/SWC117+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP23042/SWC117+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP23042/SWC117+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 23138
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% # Preprocessing time : 0.030 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.92 CPU 4.01 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(neq(X1,X2)<=>~(X1=X2)))),file('/tmp/SRASS.s.p', ax15)).
% fof(2, axiom,ssList(nil),file('/tmp/SRASS.s.p', ax17)).
% fof(5, axiom,![X1]:(ssList(X1)=>segmentP(X1,X1)),file('/tmp/SRASS.s.p', ax55)).
% fof(6, axiom,![X1]:(ssList(X1)=>segmentP(X1,nil)),file('/tmp/SRASS.s.p', ax57)).
% fof(10, 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(11, axiom,![X1]:(ssList(X1)=>app(nil,X1)=X1),file('/tmp/SRASS.s.p', ax28)).
% fof(12, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(nil=app(X1,X2)<=>(nil=X2&nil=X1)))),file('/tmp/SRASS.s.p', ax83)).
% fof(13, axiom,![X1]:(ssList(X1)=>app(X1,nil)=X1),file('/tmp/SRASS.s.p', ax84)).
% fof(14, 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(15, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>ssList(tl(X1)))),file('/tmp/SRASS.s.p', ax24)).
% fof(16, axiom,![X1]:(ssList(X1)=>(frontsegP(nil,X1)<=>nil=X1)),file('/tmp/SRASS.s.p', ax46)).
% fof(19, axiom,![X1]:(ssItem(X1)=>equalelemsP(cons(X1,nil))),file('/tmp/SRASS.s.p', ax73)).
% fof(21, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>~(nil=cons(X2,X1)))),file('/tmp/SRASS.s.p', ax21)).
% fof(22, 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(24, 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(25, axiom,![X1]:(ssList(X1)=>frontsegP(X1,nil)),file('/tmp/SRASS.s.p', ax45)).
% fof(27, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>ssItem(hd(X1)))),file('/tmp/SRASS.s.p', ax22)).
% fof(28, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>ssList(app(X1,X2)))),file('/tmp/SRASS.s.p', ax26)).
% fof(33, axiom,![X1]:(ssList(X1)=>rearsegP(X1,nil)),file('/tmp/SRASS.s.p', ax51)).
% fof(38, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(~(nil=X1)=>hd(app(X1,X2))=hd(X1)))),file('/tmp/SRASS.s.p', ax85)).
% fof(39, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(~(nil=X1)=>tl(app(X1,X2))=app(tl(X1),X2)))),file('/tmp/SRASS.s.p', ax86)).
% fof(41, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>~(cons(X2,X1)=X1))),file('/tmp/SRASS.s.p', ax18)).
% fof(44, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>ssList(cons(X2,X1)))),file('/tmp/SRASS.s.p', ax16)).
% fof(52, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>hd(cons(X2,X1))=X2)),file('/tmp/SRASS.s.p', ax23)).
% fof(61, 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(62, 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(69, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>cons(X2,X1)=app(cons(X2,nil),X1))),file('/tmp/SRASS.s.p', ax81)).
% fof(70, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(frontsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X2,X3)=X1)))),file('/tmp/SRASS.s.p', ax5)).
% fof(71, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(rearsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X3,X2)=X1)))),file('/tmp/SRASS.s.p', ax6)).
% fof(78, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>tl(cons(X2,X1))=X1)),file('/tmp/SRASS.s.p', ax25)).
% fof(80, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>cons(hd(X1),tl(X1))=X1)),file('/tmp/SRASS.s.p', ax78)).
% fof(81, 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(96, conjecture,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(ssList(X4)=>((((((~(X2=X4)|~(X1=X3))|~(segmentP(X4,X3)))|~(equalelemsP(X3)))|?[X5]:((((ssList(X5)&neq(X3,X5))&segmentP(X4,X5))&segmentP(X5,X3))&equalelemsP(X5)))|(nil=X2&nil=X1))|(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))|~(segmentP(X4,X3)))|~(equalelemsP(X3)))|?[X5]:((((ssList(X5)&neq(X3,X5))&segmentP(X4,X5))&segmentP(X5,X3))&equalelemsP(X5)))|(nil=X2&nil=X1))|(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))|~(segmentP(X4,X3)))|~(equalelemsP(X3)))|?[X5]:((((ssList(X5)&neq(X3,X5))&segmentP(X4,X5))&segmentP(X5,X3))&equalelemsP(X5)))|(nil=X2&nil=X1))|(neq(X1,nil)&segmentP(X2,X1)))))))),inference(fof_simplification,[status(thm)],[97,theory(equality)])).
% fof(104, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(neq(X1,X2))|~(X1=X2))&(X1=X2|neq(X1,X2))))),inference(fof_nnf,[status(thm)],[1])).
% fof(105, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))),inference(variable_rename,[status(thm)],[104])).
% fof(106, plain,![X3]:![X4]:((~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[105])).
% fof(107, plain,![X3]:![X4]:((((~(neq(X3,X4))|~(X3=X4))|~(ssList(X4)))|~(ssList(X3)))&(((X3=X4|neq(X3,X4))|~(ssList(X4)))|~(ssList(X3)))),inference(distribute,[status(thm)],[106])).
% cnf(108,plain,(neq(X1,X2)|X1=X2|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[107])).
% cnf(110,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[2])).
% fof(119, plain,![X1]:(~(ssList(X1))|segmentP(X1,X1)),inference(fof_nnf,[status(thm)],[5])).
% fof(120, plain,![X2]:(~(ssList(X2))|segmentP(X2,X2)),inference(variable_rename,[status(thm)],[119])).
% cnf(121,plain,(segmentP(X1,X1)|~ssList(X1)),inference(split_conjunct,[status(thm)],[120])).
% fof(122, plain,![X1]:(~(ssList(X1))|segmentP(X1,nil)),inference(fof_nnf,[status(thm)],[6])).
% fof(123, plain,![X2]:(~(ssList(X2))|segmentP(X2,nil)),inference(variable_rename,[status(thm)],[122])).
% cnf(124,plain,(segmentP(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[123])).
% fof(137, 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)],[10])).
% fof(138, 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)],[137])).
% fof(139, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|((~(segmentP(X5,X6))|(ssList(esk1_2(X5,X6))&(ssList(esk2_2(X5,X6))&app(app(esk1_2(X5,X6),X6),esk2_2(X5,X6))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(app(X9,X6),X10)=X5)))|segmentP(X5,X6))))),inference(skolemize,[status(esa)],[138])).
% fof(140, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(app(X9,X6),X10)=X5))|~(ssList(X9)))|segmentP(X5,X6))&(~(segmentP(X5,X6))|(ssList(esk1_2(X5,X6))&(ssList(esk2_2(X5,X6))&app(app(esk1_2(X5,X6),X6),esk2_2(X5,X6))=X5))))|~(ssList(X6)))|~(ssList(X5))),inference(shift_quantors,[status(thm)],[139])).
% fof(141, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(app(X9,X6),X10)=X5))|~(ssList(X9)))|segmentP(X5,X6))|~(ssList(X6)))|~(ssList(X5)))&((((ssList(esk1_2(X5,X6))|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))&((((ssList(esk2_2(X5,X6))|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))&(((app(app(esk1_2(X5,X6),X6),esk2_2(X5,X6))=X5|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))))),inference(distribute,[status(thm)],[140])).
% cnf(142,plain,(app(app(esk1_2(X1,X2),X2),esk2_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~segmentP(X1,X2)),inference(split_conjunct,[status(thm)],[141])).
% cnf(143,plain,(ssList(esk2_2(X1,X2))|~ssList(X1)|~ssList(X2)|~segmentP(X1,X2)),inference(split_conjunct,[status(thm)],[141])).
% cnf(144,plain,(ssList(esk1_2(X1,X2))|~ssList(X1)|~ssList(X2)|~segmentP(X1,X2)),inference(split_conjunct,[status(thm)],[141])).
% cnf(145,plain,(segmentP(X1,X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|app(app(X3,X2),X4)!=X1|~ssList(X4)),inference(split_conjunct,[status(thm)],[141])).
% fof(146, plain,![X1]:(~(ssList(X1))|app(nil,X1)=X1),inference(fof_nnf,[status(thm)],[11])).
% fof(147, plain,![X2]:(~(ssList(X2))|app(nil,X2)=X2),inference(variable_rename,[status(thm)],[146])).
% cnf(148,plain,(app(nil,X1)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[147])).
% fof(149, 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)],[12])).
% fof(150, 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)],[149])).
% fof(151, 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)],[150])).
% fof(152, 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)],[151])).
% cnf(154,plain,(nil=X1|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[152])).
% cnf(155,plain,(nil=X2|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[152])).
% fof(156, plain,![X1]:(~(ssList(X1))|app(X1,nil)=X1),inference(fof_nnf,[status(thm)],[13])).
% fof(157, plain,![X2]:(~(ssList(X2))|app(X2,nil)=X2),inference(variable_rename,[status(thm)],[156])).
% cnf(158,plain,(app(X1,nil)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[157])).
% fof(159, 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)],[14])).
% fof(160, 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)],[159])).
% fof(161, 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)],[160])).
% cnf(162,plain,(segmentP(app(app(X3,X1),X4),X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~segmentP(X1,X2)|~ssList(X4)),inference(split_conjunct,[status(thm)],[161])).
% fof(163, plain,![X1]:(~(ssList(X1))|(nil=X1|ssList(tl(X1)))),inference(fof_nnf,[status(thm)],[15])).
% fof(164, plain,![X2]:(~(ssList(X2))|(nil=X2|ssList(tl(X2)))),inference(variable_rename,[status(thm)],[163])).
% cnf(165,plain,(ssList(tl(X1))|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[164])).
% fof(166, plain,![X1]:(~(ssList(X1))|((~(frontsegP(nil,X1))|nil=X1)&(~(nil=X1)|frontsegP(nil,X1)))),inference(fof_nnf,[status(thm)],[16])).
% fof(167, plain,![X2]:(~(ssList(X2))|((~(frontsegP(nil,X2))|nil=X2)&(~(nil=X2)|frontsegP(nil,X2)))),inference(variable_rename,[status(thm)],[166])).
% fof(168, plain,![X2]:(((~(frontsegP(nil,X2))|nil=X2)|~(ssList(X2)))&((~(nil=X2)|frontsegP(nil,X2))|~(ssList(X2)))),inference(distribute,[status(thm)],[167])).
% cnf(169,plain,(frontsegP(nil,X1)|~ssList(X1)|nil!=X1),inference(split_conjunct,[status(thm)],[168])).
% fof(182, plain,![X1]:(~(ssItem(X1))|equalelemsP(cons(X1,nil))),inference(fof_nnf,[status(thm)],[19])).
% fof(183, plain,![X2]:(~(ssItem(X2))|equalelemsP(cons(X2,nil))),inference(variable_rename,[status(thm)],[182])).
% cnf(184,plain,(equalelemsP(cons(X1,nil))|~ssItem(X1)),inference(split_conjunct,[status(thm)],[183])).
% fof(192, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|~(nil=cons(X2,X1)))),inference(fof_nnf,[status(thm)],[21])).
% fof(193, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|~(nil=cons(X4,X3)))),inference(variable_rename,[status(thm)],[192])).
% fof(194, plain,![X3]:![X4]:((~(ssItem(X4))|~(nil=cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[193])).
% cnf(195,plain,(~ssList(X1)|nil!=cons(X2,X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[194])).
% fof(196, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X3,X2)=app(X1,X2))|X3=X1)))),inference(fof_nnf,[status(thm)],[22])).
% fof(197, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X6,X5)=app(X4,X5))|X6=X4)))),inference(variable_rename,[status(thm)],[196])).
% fof(198, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X6,X5)=app(X4,X5))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[197])).
% cnf(199,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X3,X2)!=app(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[198])).
% fof(204, 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)],[24])).
% fof(205, 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)],[204])).
% fof(206, 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)],[205])).
% cnf(207,plain,(app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X1)|~ssList(X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[206])).
% fof(208, plain,![X1]:(~(ssList(X1))|frontsegP(X1,nil)),inference(fof_nnf,[status(thm)],[25])).
% fof(209, plain,![X2]:(~(ssList(X2))|frontsegP(X2,nil)),inference(variable_rename,[status(thm)],[208])).
% cnf(210,plain,(frontsegP(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[209])).
% fof(216, plain,![X1]:(~(ssList(X1))|(nil=X1|ssItem(hd(X1)))),inference(fof_nnf,[status(thm)],[27])).
% fof(217, plain,![X2]:(~(ssList(X2))|(nil=X2|ssItem(hd(X2)))),inference(variable_rename,[status(thm)],[216])).
% cnf(218,plain,(ssItem(hd(X1))|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[217])).
% fof(219, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|ssList(app(X1,X2)))),inference(fof_nnf,[status(thm)],[28])).
% fof(220, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|ssList(app(X3,X4)))),inference(variable_rename,[status(thm)],[219])).
% fof(221, plain,![X3]:![X4]:((~(ssList(X4))|ssList(app(X3,X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[220])).
% cnf(222,plain,(ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[221])).
% fof(237, plain,![X1]:(~(ssList(X1))|rearsegP(X1,nil)),inference(fof_nnf,[status(thm)],[33])).
% fof(238, plain,![X2]:(~(ssList(X2))|rearsegP(X2,nil)),inference(variable_rename,[status(thm)],[237])).
% cnf(239,plain,(rearsegP(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[238])).
% fof(266, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|(nil=X1|hd(app(X1,X2))=hd(X1)))),inference(fof_nnf,[status(thm)],[38])).
% fof(267, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|(nil=X3|hd(app(X3,X4))=hd(X3)))),inference(variable_rename,[status(thm)],[266])).
% fof(268, plain,![X3]:![X4]:((~(ssList(X4))|(nil=X3|hd(app(X3,X4))=hd(X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[267])).
% cnf(269,plain,(hd(app(X1,X2))=hd(X1)|nil=X1|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[268])).
% fof(270, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|(nil=X1|tl(app(X1,X2))=app(tl(X1),X2)))),inference(fof_nnf,[status(thm)],[39])).
% fof(271, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|(nil=X3|tl(app(X3,X4))=app(tl(X3),X4)))),inference(variable_rename,[status(thm)],[270])).
% fof(272, plain,![X3]:![X4]:((~(ssList(X4))|(nil=X3|tl(app(X3,X4))=app(tl(X3),X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[271])).
% cnf(273,plain,(tl(app(X1,X2))=app(tl(X1),X2)|nil=X1|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[272])).
% fof(278, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|~(cons(X2,X1)=X1))),inference(fof_nnf,[status(thm)],[41])).
% fof(279, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|~(cons(X4,X3)=X3))),inference(variable_rename,[status(thm)],[278])).
% fof(280, plain,![X3]:![X4]:((~(ssItem(X4))|~(cons(X4,X3)=X3))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[279])).
% cnf(281,plain,(~ssList(X1)|cons(X2,X1)!=X1|~ssItem(X2)),inference(split_conjunct,[status(thm)],[280])).
% fof(296, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|ssList(cons(X2,X1)))),inference(fof_nnf,[status(thm)],[44])).
% fof(297, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|ssList(cons(X4,X3)))),inference(variable_rename,[status(thm)],[296])).
% fof(298, plain,![X3]:![X4]:((~(ssItem(X4))|ssList(cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[297])).
% cnf(299,plain,(ssList(cons(X2,X1))|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[298])).
% fof(307, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|hd(cons(X2,X1))=X2)),inference(fof_nnf,[status(thm)],[52])).
% fof(308, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|hd(cons(X4,X3))=X4)),inference(variable_rename,[status(thm)],[307])).
% fof(309, plain,![X3]:![X4]:((~(ssItem(X4))|hd(cons(X4,X3))=X4)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[308])).
% cnf(310,plain,(hd(cons(X2,X1))=X2|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[309])).
% fof(343, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(frontsegP(X1,X2))|frontsegP(app(X1,X3),X2))))),inference(fof_nnf,[status(thm)],[61])).
% fof(344, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(frontsegP(X4,X5))|frontsegP(app(X4,X6),X5))))),inference(variable_rename,[status(thm)],[343])).
% fof(345, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(frontsegP(X4,X5))|frontsegP(app(X4,X6),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[344])).
% cnf(346,plain,(frontsegP(app(X1,X3),X2)|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[345])).
% fof(347, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(rearsegP(X1,X2))|rearsegP(app(X3,X1),X2))))),inference(fof_nnf,[status(thm)],[62])).
% fof(348, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5))))),inference(variable_rename,[status(thm)],[347])).
% fof(349, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[348])).
% cnf(350,plain,(rearsegP(app(X3,X1),X2)|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[349])).
% fof(369, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|cons(X2,X1)=app(cons(X2,nil),X1))),inference(fof_nnf,[status(thm)],[69])).
% fof(370, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))),inference(variable_rename,[status(thm)],[369])).
% fof(371, plain,![X3]:![X4]:((~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[370])).
% cnf(372,plain,(cons(X2,X1)=app(cons(X2,nil),X1)|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[371])).
% fof(373, 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)],[70])).
% fof(374, 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)],[373])).
% fof(375, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(frontsegP(X4,X5))|(ssList(esk14_2(X4,X5))&app(X5,esk14_2(X4,X5))=X4))&(![X7]:(~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))))),inference(skolemize,[status(esa)],[374])).
% fof(376, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))&(~(frontsegP(X4,X5))|(ssList(esk14_2(X4,X5))&app(X5,esk14_2(X4,X5))=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[375])).
% fof(377, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk14_2(X4,X5))|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(X5,esk14_2(X4,X5))=X4|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[376])).
% cnf(378,plain,(app(X2,esk14_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[377])).
% cnf(379,plain,(ssList(esk14_2(X1,X2))|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[377])).
% cnf(380,plain,(frontsegP(X1,X2)|~ssList(X1)|~ssList(X2)|app(X2,X3)!=X1|~ssList(X3)),inference(split_conjunct,[status(thm)],[377])).
% fof(381, 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)],[71])).
% fof(382, 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)],[381])).
% fof(383, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(rearsegP(X4,X5))|(ssList(esk15_2(X4,X5))&app(esk15_2(X4,X5),X5)=X4))&(![X7]:(~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))))),inference(skolemize,[status(esa)],[382])).
% fof(384, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))&(~(rearsegP(X4,X5))|(ssList(esk15_2(X4,X5))&app(esk15_2(X4,X5),X5)=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[383])).
% fof(385, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk15_2(X4,X5))|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(esk15_2(X4,X5),X5)=X4|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[384])).
% cnf(386,plain,(app(esk15_2(X1,X2),X2)=X1|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[385])).
% cnf(387,plain,(ssList(esk15_2(X1,X2))|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[385])).
% cnf(388,plain,(rearsegP(X1,X2)|~ssList(X1)|~ssList(X2)|app(X3,X2)!=X1|~ssList(X3)),inference(split_conjunct,[status(thm)],[385])).
% fof(464, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|tl(cons(X2,X1))=X1)),inference(fof_nnf,[status(thm)],[78])).
% fof(465, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|tl(cons(X4,X3))=X3)),inference(variable_rename,[status(thm)],[464])).
% fof(466, plain,![X3]:![X4]:((~(ssItem(X4))|tl(cons(X4,X3))=X3)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[465])).
% cnf(467,plain,(tl(cons(X2,X1))=X1|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[466])).
% fof(475, plain,![X1]:(~(ssList(X1))|(nil=X1|cons(hd(X1),tl(X1))=X1)),inference(fof_nnf,[status(thm)],[80])).
% fof(476, plain,![X2]:(~(ssList(X2))|(nil=X2|cons(hd(X2),tl(X2))=X2)),inference(variable_rename,[status(thm)],[475])).
% cnf(477,plain,(cons(hd(X1),tl(X1))=X1|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[476])).
% fof(478, 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)],[81])).
% fof(479, 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)],[478])).
% fof(480, 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)],[479])).
% cnf(481,plain,(cons(X3,app(X2,X1))=app(cons(X3,X2),X1)|~ssList(X1)|~ssList(X2)|~ssItem(X3)),inference(split_conjunct,[status(thm)],[480])).
% fof(568, negated_conjecture,?[X1]:(ssList(X1)&?[X2]:(ssList(X2)&?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&((((((X2=X4&X1=X3)&segmentP(X4,X3))&equalelemsP(X3))&![X5]:((((~(ssList(X5))|~(neq(X3,X5)))|~(segmentP(X4,X5)))|~(segmentP(X5,X3)))|~(equalelemsP(X5))))&(~(nil=X2)|~(nil=X1)))&(~(neq(X1,nil))|~(segmentP(X2,X1)))))))),inference(fof_nnf,[status(thm)],[103])).
% fof(569, negated_conjecture,?[X6]:(ssList(X6)&?[X7]:(ssList(X7)&?[X8]:(ssList(X8)&?[X9]:(ssList(X9)&((((((X7=X9&X6=X8)&segmentP(X9,X8))&equalelemsP(X8))&![X10]:((((~(ssList(X10))|~(neq(X8,X10)))|~(segmentP(X9,X10)))|~(segmentP(X10,X8)))|~(equalelemsP(X10))))&(~(nil=X7)|~(nil=X6)))&(~(neq(X6,nil))|~(segmentP(X7,X6)))))))),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)&segmentP(esk51_0,esk50_0))&equalelemsP(esk50_0))&![X10]:((((~(ssList(X10))|~(neq(esk50_0,X10)))|~(segmentP(esk51_0,X10)))|~(segmentP(X10,esk50_0)))|~(equalelemsP(X10))))&(~(nil=esk49_0)|~(nil=esk48_0)))&(~(neq(esk48_0,nil))|~(segmentP(esk49_0,esk48_0)))))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,![X10]:(((((((((((~(ssList(X10))|~(neq(esk50_0,X10)))|~(segmentP(esk51_0,X10)))|~(segmentP(X10,esk50_0)))|~(equalelemsP(X10)))&(((esk49_0=esk51_0&esk48_0=esk50_0)&segmentP(esk51_0,esk50_0))&equalelemsP(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])).
% cnf(572,negated_conjecture,(ssList(esk48_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(573,negated_conjecture,(ssList(esk49_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(576,negated_conjecture,(~segmentP(esk49_0,esk48_0)|~neq(esk48_0,nil)),inference(split_conjunct,[status(thm)],[571])).
% cnf(577,negated_conjecture,(nil!=esk48_0|nil!=esk49_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(579,negated_conjecture,(segmentP(esk51_0,esk50_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(580,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(581,negated_conjecture,(esk49_0=esk51_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(582,negated_conjecture,(~equalelemsP(X1)|~segmentP(X1,esk50_0)|~segmentP(esk51_0,X1)|~neq(esk50_0,X1)|~ssList(X1)),inference(split_conjunct,[status(thm)],[571])).
% cnf(583,negated_conjecture,(esk50_0!=nil|esk49_0!=nil),inference(rw,[status(thm)],[577,580,theory(equality)])).
% cnf(584,negated_conjecture,(esk50_0!=nil|esk51_0!=nil),inference(rw,[status(thm)],[583,581,theory(equality)])).
% cnf(585,negated_conjecture,(ssList(esk50_0)),inference(rw,[status(thm)],[572,580,theory(equality)])).
% cnf(586,negated_conjecture,(ssList(esk51_0)),inference(rw,[status(thm)],[573,581,theory(equality)])).
% cnf(589,negated_conjecture,(~neq(esk50_0,nil)|~segmentP(esk49_0,esk48_0)),inference(rw,[status(thm)],[576,580,theory(equality)])).
% cnf(590,negated_conjecture,(~neq(esk50_0,nil)|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[589,581,theory(equality)]),580,theory(equality)]),579,theory(equality)])).
% cnf(591,negated_conjecture,(~neq(esk50_0,nil)),inference(cn,[status(thm)],[590,theory(equality)])).
% cnf(595,plain,(frontsegP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[169,theory(equality)])).
% cnf(596,plain,(frontsegP(nil,nil)|$false),inference(rw,[status(thm)],[595,110,theory(equality)])).
% cnf(597,plain,(frontsegP(nil,nil)),inference(cn,[status(thm)],[596,theory(equality)])).
% cnf(625,negated_conjecture,(esk50_0=nil|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[591,108,theory(equality)])).
% cnf(626,negated_conjecture,(esk50_0=nil|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[625,110,theory(equality)])).
% cnf(627,negated_conjecture,(esk50_0=nil|$false|$false),inference(rw,[status(thm)],[626,585,theory(equality)])).
% cnf(628,negated_conjecture,(esk50_0=nil),inference(cn,[status(thm)],[627,theory(equality)])).
% cnf(695,plain,(cons(hd(cons(X1,X2)),X2)=cons(X1,X2)|nil=cons(X1,X2)|~ssList(cons(X1,X2))|~ssItem(X1)|~ssList(X2)),inference(spm,[status(thm)],[477,467,theory(equality)])).
% cnf(700,plain,(cons(X1,tl(cons(X1,X2)))=cons(X1,X2)|nil=cons(X1,X2)|~ssList(cons(X1,X2))|~ssItem(X1)|~ssList(X2)),inference(spm,[status(thm)],[477,310,theory(equality)])).
% cnf(731,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)|~ssList(app(X1,X2))),inference(er,[status(thm)],[380,theory(equality)])).
% cnf(740,plain,(rearsegP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)|~ssList(app(X1,X2))),inference(er,[status(thm)],[388,theory(equality)])).
% cnf(779,plain,(cons(hd(X1),tl(app(X1,X2)))=app(X1,X2)|nil=app(X1,X2)|nil=X1|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[477,269,theory(equality)])).
% cnf(784,plain,(hd(cons(X1,X2))=hd(cons(X1,nil))|nil=cons(X1,nil)|~ssList(X2)|~ssList(cons(X1,nil))|~ssItem(X1)),inference(spm,[status(thm)],[269,372,theory(equality)])).
% cnf(786,plain,(X1=cons(X2,nil)|app(X1,X3)!=cons(X2,X3)|~ssList(cons(X2,nil))|~ssList(X3)|~ssList(X1)|~ssItem(X2)),inference(spm,[status(thm)],[199,372,theory(equality)])).
% cnf(804,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[346,210,theory(equality)])).
% cnf(806,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|$false|~ssList(X1)),inference(rw,[status(thm)],[804,110,theory(equality)])).
% cnf(807,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[806,theory(equality)])).
% cnf(808,plain,(rearsegP(app(X1,X2),nil)|~ssList(X1)|~ssList(nil)|~ssList(X2)),inference(spm,[status(thm)],[350,239,theory(equality)])).
% cnf(810,plain,(rearsegP(app(X1,X2),nil)|~ssList(X1)|$false|~ssList(X2)),inference(rw,[status(thm)],[808,110,theory(equality)])).
% cnf(811,plain,(rearsegP(app(X1,X2),nil)|~ssList(X1)|~ssList(X2)),inference(cn,[status(thm)],[810,theory(equality)])).
% cnf(846,plain,(nil=app(X1,X2)|ssList(app(tl(X1),X2))|nil=X1|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[165,273,theory(equality)])).
% cnf(867,plain,(segmentP(app(app(X1,X2),X3),X2)|~ssList(X3)|~ssList(X1)|~ssList(X2)),inference(spm,[status(thm)],[162,121,theory(equality)])).
% cnf(958,plain,(nil=cons(X1,X2)|cons(X1,app(X2,X3))!=nil|~ssList(X3)|~ssList(cons(X1,X2))|~ssItem(X1)|~ssList(X2)),inference(spm,[status(thm)],[154,481,theory(equality)])).
% cnf(959,plain,(ssList(cons(X1,app(X2,X3)))|~ssList(X3)|~ssList(cons(X1,X2))|~ssItem(X1)|~ssList(X2)),inference(spm,[status(thm)],[222,481,theory(equality)])).
% cnf(1336,negated_conjecture,(~equalelemsP(X1)|~segmentP(X1,nil)|~segmentP(esk51_0,X1)|~neq(esk50_0,X1)|~ssList(X1)),inference(rw,[status(thm)],[582,628,theory(equality)])).
% cnf(1337,negated_conjecture,(~equalelemsP(X1)|~segmentP(X1,nil)|~segmentP(esk51_0,X1)|~neq(nil,X1)|~ssList(X1)),inference(rw,[status(thm)],[1336,628,theory(equality)])).
% cnf(1339,negated_conjecture,(segmentP(esk51_0,nil)),inference(rw,[status(thm)],[579,628,theory(equality)])).
% cnf(1342,negated_conjecture,($false|esk51_0!=nil),inference(rw,[status(thm)],[584,628,theory(equality)])).
% cnf(1343,negated_conjecture,(esk51_0!=nil),inference(cn,[status(thm)],[1342,theory(equality)])).
% cnf(1361,negated_conjecture,(ssList(esk1_2(esk51_0,nil))|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[144,1339,theory(equality)])).
% cnf(1362,negated_conjecture,(ssList(esk2_2(esk51_0,nil))|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[143,1339,theory(equality)])).
% cnf(1363,negated_conjecture,(app(app(esk1_2(esk51_0,nil),nil),esk2_2(esk51_0,nil))=esk51_0|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[142,1339,theory(equality)])).
% cnf(1370,negated_conjecture,(ssList(esk1_2(esk51_0,nil))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[1361,110,theory(equality)])).
% cnf(1371,negated_conjecture,(ssList(esk1_2(esk51_0,nil))|$false|$false),inference(rw,[status(thm)],[1370,586,theory(equality)])).
% cnf(1372,negated_conjecture,(ssList(esk1_2(esk51_0,nil))),inference(cn,[status(thm)],[1371,theory(equality)])).
% cnf(1373,negated_conjecture,(ssList(esk2_2(esk51_0,nil))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[1362,110,theory(equality)])).
% cnf(1374,negated_conjecture,(ssList(esk2_2(esk51_0,nil))|$false|$false),inference(rw,[status(thm)],[1373,586,theory(equality)])).
% cnf(1375,negated_conjecture,(ssList(esk2_2(esk51_0,nil))),inference(cn,[status(thm)],[1374,theory(equality)])).
% cnf(1376,negated_conjecture,(app(app(esk1_2(esk51_0,nil),nil),esk2_2(esk51_0,nil))=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[1363,110,theory(equality)])).
% cnf(1377,negated_conjecture,(app(app(esk1_2(esk51_0,nil),nil),esk2_2(esk51_0,nil))=esk51_0|$false|$false),inference(rw,[status(thm)],[1376,586,theory(equality)])).
% cnf(1378,negated_conjecture,(app(app(esk1_2(esk51_0,nil),nil),esk2_2(esk51_0,nil))=esk51_0),inference(cn,[status(thm)],[1377,theory(equality)])).
% cnf(1385,plain,(ssList(esk14_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[379,597,theory(equality)])).
% cnf(1386,plain,(app(nil,esk14_2(nil,nil))=nil|~ssList(nil)),inference(spm,[status(thm)],[378,597,theory(equality)])).
% cnf(1389,plain,(ssList(esk14_2(nil,nil))|$false),inference(rw,[status(thm)],[1385,110,theory(equality)])).
% cnf(1390,plain,(ssList(esk14_2(nil,nil))),inference(cn,[status(thm)],[1389,theory(equality)])).
% cnf(1391,plain,(app(nil,esk14_2(nil,nil))=nil|$false),inference(rw,[status(thm)],[1386,110,theory(equality)])).
% cnf(1392,plain,(app(nil,esk14_2(nil,nil))=nil),inference(cn,[status(thm)],[1391,theory(equality)])).
% cnf(1416,plain,(nil=esk14_2(nil,nil)|~ssList(esk14_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[155,1392,theory(equality)])).
% cnf(1443,plain,(nil=esk14_2(nil,nil)|$false|~ssList(nil)),inference(rw,[status(thm)],[1416,1390,theory(equality)])).
% cnf(1444,plain,(nil=esk14_2(nil,nil)|$false|$false),inference(rw,[status(thm)],[1443,110,theory(equality)])).
% cnf(1445,plain,(nil=esk14_2(nil,nil)),inference(cn,[status(thm)],[1444,theory(equality)])).
% cnf(1457,plain,(app(nil,nil)=nil),inference(rw,[status(thm)],[1392,1445,theory(equality)])).
% cnf(1568,negated_conjecture,(~equalelemsP(X1)|~segmentP(esk51_0,X1)|~neq(nil,X1)|~ssList(X1)),inference(csr,[status(thm)],[1337,124])).
% cnf(1668,negated_conjecture,(app(esk1_2(esk51_0,nil),esk2_2(esk51_0,nil))=esk51_0|~ssList(esk1_2(esk51_0,nil))),inference(spm,[status(thm)],[1378,158,theory(equality)])).
% cnf(1706,negated_conjecture,(app(esk1_2(esk51_0,nil),esk2_2(esk51_0,nil))=esk51_0|$false),inference(rw,[status(thm)],[1668,1372,theory(equality)])).
% cnf(1707,negated_conjecture,(app(esk1_2(esk51_0,nil),esk2_2(esk51_0,nil))=esk51_0),inference(cn,[status(thm)],[1706,theory(equality)])).
% cnf(1842,negated_conjecture,(hd(esk51_0)=hd(esk1_2(esk51_0,nil))|nil=esk1_2(esk51_0,nil)|~ssList(esk2_2(esk51_0,nil))|~ssList(esk1_2(esk51_0,nil))),inference(spm,[status(thm)],[269,1707,theory(equality)])).
% cnf(1861,negated_conjecture,(hd(esk51_0)=hd(esk1_2(esk51_0,nil))|nil=esk1_2(esk51_0,nil)|$false|~ssList(esk1_2(esk51_0,nil))),inference(rw,[status(thm)],[1842,1375,theory(equality)])).
% cnf(1862,negated_conjecture,(hd(esk51_0)=hd(esk1_2(esk51_0,nil))|nil=esk1_2(esk51_0,nil)|$false|$false),inference(rw,[status(thm)],[1861,1372,theory(equality)])).
% cnf(1863,negated_conjecture,(hd(esk51_0)=hd(esk1_2(esk51_0,nil))|nil=esk1_2(esk51_0,nil)),inference(cn,[status(thm)],[1862,theory(equality)])).
% cnf(1911,negated_conjecture,(nil=esk1_2(esk51_0,nil)|ssItem(hd(esk51_0))|~ssList(esk1_2(esk51_0,nil))),inference(spm,[status(thm)],[218,1863,theory(equality)])).
% cnf(1915,negated_conjecture,(nil=esk1_2(esk51_0,nil)|ssItem(hd(esk51_0))|$false),inference(rw,[status(thm)],[1911,1372,theory(equality)])).
% cnf(1916,negated_conjecture,(nil=esk1_2(esk51_0,nil)|ssItem(hd(esk51_0))),inference(cn,[status(thm)],[1915,theory(equality)])).
% cnf(1924,negated_conjecture,(app(app(nil,nil),esk2_2(esk51_0,nil))=esk51_0|ssItem(hd(esk51_0))),inference(spm,[status(thm)],[1378,1916,theory(equality)])).
% cnf(1930,negated_conjecture,(app(nil,esk2_2(esk51_0,nil))=esk51_0|ssItem(hd(esk51_0))),inference(rw,[status(thm)],[1924,1457,theory(equality)])).
% cnf(2868,plain,(cons(hd(cons(X1,X2)),X2)=cons(X1,X2)|cons(X1,X2)=nil|~ssItem(X1)|~ssList(X2)),inference(csr,[status(thm)],[695,299])).
% cnf(2869,plain,(cons(hd(cons(X1,X2)),X2)=cons(X1,X2)|~ssItem(X1)|~ssList(X2)),inference(csr,[status(thm)],[2868,195])).
% cnf(3043,plain,(cons(X1,tl(cons(X1,X2)))=cons(X1,X2)|cons(X1,X2)=nil|~ssItem(X1)|~ssList(X2)),inference(csr,[status(thm)],[700,299])).
% cnf(3044,plain,(cons(X1,tl(cons(X1,X2)))=cons(X1,X2)|~ssItem(X1)|~ssList(X2)),inference(csr,[status(thm)],[3043,195])).
% cnf(3080,plain,(cons(hd(cons(X1,X2)),tl(cons(X1,X2)))=cons(X1,X2)|~ssItem(hd(cons(X1,X2)))|~ssList(X2)|~ssItem(X1)),inference(spm,[status(thm)],[3044,2869,theory(equality)])).
% cnf(3740,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[731,222])).
% cnf(3820,plain,(rearsegP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)),inference(csr,[status(thm)],[740,222])).
% cnf(3837,plain,(rearsegP(cons(X1,X2),X2)|~ssList(cons(X1,nil))|~ssList(X2)|~ssItem(X1)),inference(spm,[status(thm)],[3820,372,theory(equality)])).
% cnf(3998,negated_conjecture,(frontsegP(esk51_0,nil)|~ssList(esk2_2(esk51_0,nil))|~ssList(esk1_2(esk51_0,nil))),inference(spm,[status(thm)],[807,1707,theory(equality)])).
% cnf(4039,negated_conjecture,(frontsegP(esk51_0,nil)|$false|~ssList(esk1_2(esk51_0,nil))),inference(rw,[status(thm)],[3998,1375,theory(equality)])).
% cnf(4040,negated_conjecture,(frontsegP(esk51_0,nil)|$false|$false),inference(rw,[status(thm)],[4039,1372,theory(equality)])).
% cnf(4041,negated_conjecture,(frontsegP(esk51_0,nil)),inference(cn,[status(thm)],[4040,theory(equality)])).
% cnf(4061,negated_conjecture,(ssList(esk14_2(esk51_0,nil))|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[379,4041,theory(equality)])).
% cnf(4063,negated_conjecture,(app(nil,esk14_2(esk51_0,nil))=esk51_0|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[378,4041,theory(equality)])).
% cnf(4067,negated_conjecture,(ssList(esk14_2(esk51_0,nil))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[4061,110,theory(equality)])).
% cnf(4068,negated_conjecture,(ssList(esk14_2(esk51_0,nil))|$false|$false),inference(rw,[status(thm)],[4067,586,theory(equality)])).
% cnf(4069,negated_conjecture,(ssList(esk14_2(esk51_0,nil))),inference(cn,[status(thm)],[4068,theory(equality)])).
% cnf(4074,negated_conjecture,(app(nil,esk14_2(esk51_0,nil))=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[4063,110,theory(equality)])).
% cnf(4075,negated_conjecture,(app(nil,esk14_2(esk51_0,nil))=esk51_0|$false|$false),inference(rw,[status(thm)],[4074,586,theory(equality)])).
% cnf(4076,negated_conjecture,(app(nil,esk14_2(esk51_0,nil))=esk51_0),inference(cn,[status(thm)],[4075,theory(equality)])).
% cnf(4104,negated_conjecture,(esk51_0=esk14_2(esk51_0,nil)|~ssList(esk14_2(esk51_0,nil))),inference(spm,[status(thm)],[148,4076,theory(equality)])).
% cnf(4160,negated_conjecture,(esk51_0=esk14_2(esk51_0,nil)|$false),inference(rw,[status(thm)],[4104,4069,theory(equality)])).
% cnf(4161,negated_conjecture,(esk51_0=esk14_2(esk51_0,nil)),inference(cn,[status(thm)],[4160,theory(equality)])).
% cnf(4177,negated_conjecture,(app(nil,esk51_0)=esk51_0),inference(rw,[status(thm)],[4076,4161,theory(equality)])).
% cnf(4200,negated_conjecture,(segmentP(X1,esk51_0)|app(esk51_0,X2)!=X1|~ssList(X2)|~ssList(nil)|~ssList(esk51_0)|~ssList(X1)),inference(spm,[status(thm)],[145,4177,theory(equality)])).
% cnf(4242,negated_conjecture,(segmentP(X1,esk51_0)|app(esk51_0,X2)!=X1|~ssList(X2)|$false|~ssList(esk51_0)|~ssList(X1)),inference(rw,[status(thm)],[4200,110,theory(equality)])).
% cnf(4243,negated_conjecture,(segmentP(X1,esk51_0)|app(esk51_0,X2)!=X1|~ssList(X2)|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[4242,586,theory(equality)])).
% cnf(4244,negated_conjecture,(segmentP(X1,esk51_0)|app(esk51_0,X2)!=X1|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[4243,theory(equality)])).
% cnf(4447,plain,(cons(hd(X1),tl(app(X1,X2)))=app(X1,X2)|app(X1,X2)=nil|nil=X1|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[779,222])).
% cnf(4448,plain,(cons(hd(X1),tl(app(X1,X2)))=app(X1,X2)|nil=X1|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[4447,154])).
% cnf(4958,negated_conjecture,(segmentP(X1,esk51_0)|esk51_0!=X1|~ssList(nil)|~ssList(X1)|~ssList(esk51_0)),inference(spm,[status(thm)],[4244,158,theory(equality)])).
% cnf(4959,negated_conjecture,(segmentP(X1,esk51_0)|esk51_0!=X1|$false|~ssList(X1)|~ssList(esk51_0)),inference(rw,[status(thm)],[4958,110,theory(equality)])).
% cnf(4960,negated_conjecture,(segmentP(X1,esk51_0)|esk51_0!=X1|$false|~ssList(X1)|$false),inference(rw,[status(thm)],[4959,586,theory(equality)])).
% cnf(4961,negated_conjecture,(segmentP(X1,esk51_0)|esk51_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[4960,theory(equality)])).
% cnf(4962,negated_conjecture,(segmentP(esk51_0,esk51_0)|~ssList(esk51_0)),inference(er,[status(thm)],[4961,theory(equality)])).
% cnf(4963,negated_conjecture,(segmentP(esk51_0,esk51_0)|$false),inference(rw,[status(thm)],[4962,586,theory(equality)])).
% cnf(4964,negated_conjecture,(segmentP(esk51_0,esk51_0)),inference(cn,[status(thm)],[4963,theory(equality)])).
% cnf(4965,negated_conjecture,(ssList(esk1_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[144,4964,theory(equality)])).
% cnf(4966,negated_conjecture,(ssList(esk2_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[143,4964,theory(equality)])).
% cnf(4967,negated_conjecture,(app(app(esk1_2(esk51_0,esk51_0),esk51_0),esk2_2(esk51_0,esk51_0))=esk51_0|~ssList(esk51_0)),inference(spm,[status(thm)],[142,4964,theory(equality)])).
% cnf(4971,negated_conjecture,(ssList(esk1_2(esk51_0,esk51_0))|$false),inference(rw,[status(thm)],[4965,586,theory(equality)])).
% cnf(4972,negated_conjecture,(ssList(esk1_2(esk51_0,esk51_0))),inference(cn,[status(thm)],[4971,theory(equality)])).
% cnf(4973,negated_conjecture,(ssList(esk2_2(esk51_0,esk51_0))|$false),inference(rw,[status(thm)],[4966,586,theory(equality)])).
% cnf(4974,negated_conjecture,(ssList(esk2_2(esk51_0,esk51_0))),inference(cn,[status(thm)],[4973,theory(equality)])).
% cnf(4975,negated_conjecture,(app(app(esk1_2(esk51_0,esk51_0),esk51_0),esk2_2(esk51_0,esk51_0))=esk51_0|$false),inference(rw,[status(thm)],[4967,586,theory(equality)])).
% cnf(4976,negated_conjecture,(app(app(esk1_2(esk51_0,esk51_0),esk51_0),esk2_2(esk51_0,esk51_0))=esk51_0),inference(cn,[status(thm)],[4975,theory(equality)])).
% cnf(5003,negated_conjecture,(esk51_0=app(esk1_2(esk51_0,esk51_0),app(esk51_0,esk2_2(esk51_0,esk51_0)))|~ssList(esk2_2(esk51_0,esk51_0))|~ssList(esk51_0)|~ssList(esk1_2(esk51_0,esk51_0))),inference(spm,[status(thm)],[207,4976,theory(equality)])).
% cnf(5047,negated_conjecture,(esk51_0=app(esk1_2(esk51_0,esk51_0),app(esk51_0,esk2_2(esk51_0,esk51_0)))|$false|~ssList(esk51_0)|~ssList(esk1_2(esk51_0,esk51_0))),inference(rw,[status(thm)],[5003,4974,theory(equality)])).
% cnf(5048,negated_conjecture,(esk51_0=app(esk1_2(esk51_0,esk51_0),app(esk51_0,esk2_2(esk51_0,esk51_0)))|$false|$false|~ssList(esk1_2(esk51_0,esk51_0))),inference(rw,[status(thm)],[5047,586,theory(equality)])).
% cnf(5049,negated_conjecture,(esk51_0=app(esk1_2(esk51_0,esk51_0),app(esk51_0,esk2_2(esk51_0,esk51_0)))|$false|$false|$false),inference(rw,[status(thm)],[5048,4972,theory(equality)])).
% cnf(5050,negated_conjecture,(esk51_0=app(esk1_2(esk51_0,esk51_0),app(esk51_0,esk2_2(esk51_0,esk51_0)))),inference(cn,[status(thm)],[5049,theory(equality)])).
% cnf(5057,plain,(hd(cons(X1,X2))=hd(cons(X1,nil))|cons(X1,nil)=nil|~ssItem(X1)|~ssList(X2)|~ssList(nil)),inference(spm,[status(thm)],[784,299,theory(equality)])).
% cnf(5060,plain,(hd(cons(X1,X2))=hd(cons(X1,nil))|cons(X1,nil)=nil|~ssItem(X1)|~ssList(X2)|$false),inference(rw,[status(thm)],[5057,110,theory(equality)])).
% cnf(5061,plain,(hd(cons(X1,X2))=hd(cons(X1,nil))|cons(X1,nil)=nil|~ssItem(X1)|~ssList(X2)),inference(cn,[status(thm)],[5060,theory(equality)])).
% cnf(5240,plain,(X1=cons(hd(X2),nil)|nil=X2|app(X1,tl(X2))!=X2|~ssItem(hd(X2))|~ssList(cons(hd(X2),nil))|~ssList(tl(X2))|~ssList(X1)|~ssList(X2)),inference(spm,[status(thm)],[786,477,theory(equality)])).
% cnf(5419,negated_conjecture,(frontsegP(esk51_0,esk1_2(esk51_0,esk51_0))|~ssList(app(esk51_0,esk2_2(esk51_0,esk51_0)))|~ssList(esk1_2(esk51_0,esk51_0))),inference(spm,[status(thm)],[3740,5050,theory(equality)])).
% cnf(5446,negated_conjecture,(frontsegP(esk51_0,esk1_2(esk51_0,esk51_0))|~ssList(app(esk51_0,esk2_2(esk51_0,esk51_0)))|$false),inference(rw,[status(thm)],[5419,4972,theory(equality)])).
% cnf(5447,negated_conjecture,(frontsegP(esk51_0,esk1_2(esk51_0,esk51_0))|~ssList(app(esk51_0,esk2_2(esk51_0,esk51_0)))),inference(cn,[status(thm)],[5446,theory(equality)])).
% cnf(5491,negated_conjecture,(frontsegP(esk51_0,esk1_2(esk51_0,esk51_0))|~ssList(esk2_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[5447,222,theory(equality)])).
% cnf(5492,negated_conjecture,(frontsegP(esk51_0,esk1_2(esk51_0,esk51_0))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[5491,4974,theory(equality)])).
% cnf(5493,negated_conjecture,(frontsegP(esk51_0,esk1_2(esk51_0,esk51_0))|$false|$false),inference(rw,[status(thm)],[5492,586,theory(equality)])).
% cnf(5494,negated_conjecture,(frontsegP(esk51_0,esk1_2(esk51_0,esk51_0))),inference(cn,[status(thm)],[5493,theory(equality)])).
% cnf(5495,negated_conjecture,(ssList(esk14_2(esk51_0,esk1_2(esk51_0,esk51_0)))|~ssList(esk1_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[379,5494,theory(equality)])).
% cnf(5497,negated_conjecture,(app(esk1_2(esk51_0,esk51_0),esk14_2(esk51_0,esk1_2(esk51_0,esk51_0)))=esk51_0|~ssList(esk1_2(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[378,5494,theory(equality)])).
% cnf(5501,negated_conjecture,(ssList(esk14_2(esk51_0,esk1_2(esk51_0,esk51_0)))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[5495,4972,theory(equality)])).
% cnf(5502,negated_conjecture,(ssList(esk14_2(esk51_0,esk1_2(esk51_0,esk51_0)))|$false|$false),inference(rw,[status(thm)],[5501,586,theory(equality)])).
% cnf(5503,negated_conjecture,(ssList(esk14_2(esk51_0,esk1_2(esk51_0,esk51_0)))),inference(cn,[status(thm)],[5502,theory(equality)])).
% cnf(5507,negated_conjecture,(app(esk1_2(esk51_0,esk51_0),esk14_2(esk51_0,esk1_2(esk51_0,esk51_0)))=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[5497,4972,theory(equality)])).
% cnf(5508,negated_conjecture,(app(esk1_2(esk51_0,esk51_0),esk14_2(esk51_0,esk1_2(esk51_0,esk51_0)))=esk51_0|$false|$false),inference(rw,[status(thm)],[5507,586,theory(equality)])).
% cnf(5509,negated_conjecture,(app(esk1_2(esk51_0,esk51_0),esk14_2(esk51_0,esk1_2(esk51_0,esk51_0)))=esk51_0),inference(cn,[status(thm)],[5508,theory(equality)])).
% cnf(5522,negated_conjecture,(rearsegP(esk51_0,esk14_2(esk51_0,esk1_2(esk51_0,esk51_0)))|~ssList(esk1_2(esk51_0,esk51_0))|~ssList(esk14_2(esk51_0,esk1_2(esk51_0,esk51_0)))),inference(spm,[status(thm)],[3820,5509,theory(equality)])).
% cnf(5557,negated_conjecture,(rearsegP(esk51_0,esk14_2(esk51_0,esk1_2(esk51_0,esk51_0)))|$false|~ssList(esk14_2(esk51_0,esk1_2(esk51_0,esk51_0)))),inference(rw,[status(thm)],[5522,4972,theory(equality)])).
% cnf(5558,negated_conjecture,(rearsegP(esk51_0,esk14_2(esk51_0,esk1_2(esk51_0,esk51_0)))|$false|$false),inference(rw,[status(thm)],[5557,5503,theory(equality)])).
% cnf(5559,negated_conjecture,(rearsegP(esk51_0,esk14_2(esk51_0,esk1_2(esk51_0,esk51_0)))),inference(cn,[status(thm)],[5558,theory(equality)])).
% cnf(5619,negated_conjecture,(ssList(esk15_2(esk51_0,esk14_2(esk51_0,esk1_2(esk51_0,esk51_0))))|~ssList(esk14_2(esk51_0,esk1_2(esk51_0,esk51_0)))|~ssList(esk51_0)),inference(spm,[status(thm)],[387,5559,theory(equality)])).
% cnf(5620,negated_conjecture,(app(esk15_2(esk51_0,esk14_2(esk51_0,esk1_2(esk51_0,esk51_0))),esk14_2(esk51_0,esk1_2(esk51_0,esk51_0)))=esk51_0|~ssList(esk14_2(esk51_0,esk1_2(esk51_0,esk51_0)))|~ssList(esk51_0)),inference(spm,[status(thm)],[386,5559,theory(equality)])).
% cnf(5624,negated_conjecture,(ssList(esk15_2(esk51_0,esk14_2(esk51_0,esk1_2(esk51_0,esk51_0))))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[5619,5503,theory(equality)])).
% cnf(5625,negated_conjecture,(ssList(esk15_2(esk51_0,esk14_2(esk51_0,esk1_2(esk51_0,esk51_0))))|$false|$false),inference(rw,[status(thm)],[5624,586,theory(equality)])).
% cnf(5626,negated_conjecture,(ssList(esk15_2(esk51_0,esk14_2(esk51_0,esk1_2(esk51_0,esk51_0))))),inference(cn,[status(thm)],[5625,theory(equality)])).
% cnf(5627,negated_conjecture,(app(esk15_2(esk51_0,esk14_2(esk51_0,esk1_2(esk51_0,esk51_0))),esk14_2(esk51_0,esk1_2(esk51_0,esk51_0)))=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[5620,5503,theory(equality)])).
% cnf(5628,negated_conjecture,(app(esk15_2(esk51_0,esk14_2(esk51_0,esk1_2(esk51_0,esk51_0))),esk14_2(esk51_0,esk1_2(esk51_0,esk51_0)))=esk51_0|$false|$false),inference(rw,[status(thm)],[5627,586,theory(equality)])).
% cnf(5629,negated_conjecture,(app(esk15_2(esk51_0,esk14_2(esk51_0,esk1_2(esk51_0,esk51_0))),esk14_2(esk51_0,esk1_2(esk51_0,esk51_0)))=esk51_0),inference(cn,[status(thm)],[5628,theory(equality)])).
% cnf(6745,negated_conjecture,(rearsegP(esk51_0,nil)|~ssList(esk15_2(esk51_0,esk14_2(esk51_0,esk1_2(esk51_0,esk51_0))))|~ssList(esk14_2(esk51_0,esk1_2(esk51_0,esk51_0)))),inference(spm,[status(thm)],[811,5629,theory(equality)])).
% cnf(6788,negated_conjecture,(rearsegP(esk51_0,nil)|$false|~ssList(esk14_2(esk51_0,esk1_2(esk51_0,esk51_0)))),inference(rw,[status(thm)],[6745,5626,theory(equality)])).
% cnf(6789,negated_conjecture,(rearsegP(esk51_0,nil)|$false|$false),inference(rw,[status(thm)],[6788,5503,theory(equality)])).
% cnf(6790,negated_conjecture,(rearsegP(esk51_0,nil)),inference(cn,[status(thm)],[6789,theory(equality)])).
% cnf(6842,negated_conjecture,(ssList(esk15_2(esk51_0,nil))|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[387,6790,theory(equality)])).
% cnf(6843,negated_conjecture,(app(esk15_2(esk51_0,nil),nil)=esk51_0|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[386,6790,theory(equality)])).
% cnf(6848,negated_conjecture,(ssList(esk15_2(esk51_0,nil))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[6842,110,theory(equality)])).
% cnf(6849,negated_conjecture,(ssList(esk15_2(esk51_0,nil))|$false|$false),inference(rw,[status(thm)],[6848,586,theory(equality)])).
% cnf(6850,negated_conjecture,(ssList(esk15_2(esk51_0,nil))),inference(cn,[status(thm)],[6849,theory(equality)])).
% cnf(6851,negated_conjecture,(app(esk15_2(esk51_0,nil),nil)=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[6843,110,theory(equality)])).
% cnf(6852,negated_conjecture,(app(esk15_2(esk51_0,nil),nil)=esk51_0|$false|$false),inference(rw,[status(thm)],[6851,586,theory(equality)])).
% cnf(6853,negated_conjecture,(app(esk15_2(esk51_0,nil),nil)=esk51_0),inference(cn,[status(thm)],[6852,theory(equality)])).
% cnf(6898,negated_conjecture,(esk51_0=esk15_2(esk51_0,nil)|~ssList(esk15_2(esk51_0,nil))),inference(spm,[status(thm)],[158,6853,theory(equality)])).
% cnf(6978,negated_conjecture,(esk51_0=esk15_2(esk51_0,nil)|$false),inference(rw,[status(thm)],[6898,6850,theory(equality)])).
% cnf(6979,negated_conjecture,(esk51_0=esk15_2(esk51_0,nil)),inference(cn,[status(thm)],[6978,theory(equality)])).
% cnf(6994,negated_conjecture,(app(esk51_0,nil)=esk51_0),inference(rw,[status(thm)],[6853,6979,theory(equality)])).
% cnf(7008,negated_conjecture,(tl(esk51_0)=app(tl(esk51_0),nil)|nil=esk51_0|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[273,6994,theory(equality)])).
% cnf(7009,negated_conjecture,(app(esk51_0,X1)=app(esk51_0,app(nil,X1))|~ssList(X1)|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[207,6994,theory(equality)])).
% cnf(7013,negated_conjecture,(cons(hd(esk51_0),tl(esk51_0))=esk51_0|nil=esk51_0|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[4448,6994,theory(equality)])).
% cnf(7043,negated_conjecture,(tl(esk51_0)=app(tl(esk51_0),nil)|nil=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[7008,110,theory(equality)])).
% cnf(7044,negated_conjecture,(tl(esk51_0)=app(tl(esk51_0),nil)|nil=esk51_0|$false|$false),inference(rw,[status(thm)],[7043,586,theory(equality)])).
% cnf(7045,negated_conjecture,(tl(esk51_0)=app(tl(esk51_0),nil)|nil=esk51_0),inference(cn,[status(thm)],[7044,theory(equality)])).
% cnf(7046,negated_conjecture,(app(tl(esk51_0),nil)=tl(esk51_0)),inference(sr,[status(thm)],[7045,1343,theory(equality)])).
% cnf(7047,negated_conjecture,(app(esk51_0,X1)=app(esk51_0,app(nil,X1))|~ssList(X1)|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[7009,110,theory(equality)])).
% cnf(7048,negated_conjecture,(app(esk51_0,X1)=app(esk51_0,app(nil,X1))|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[7047,586,theory(equality)])).
% cnf(7049,negated_conjecture,(app(esk51_0,X1)=app(esk51_0,app(nil,X1))|~ssList(X1)),inference(cn,[status(thm)],[7048,theory(equality)])).
% cnf(7060,negated_conjecture,(cons(hd(esk51_0),tl(esk51_0))=esk51_0|nil=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[7013,110,theory(equality)])).
% cnf(7061,negated_conjecture,(cons(hd(esk51_0),tl(esk51_0))=esk51_0|nil=esk51_0|$false|$false),inference(rw,[status(thm)],[7060,586,theory(equality)])).
% cnf(7062,negated_conjecture,(cons(hd(esk51_0),tl(esk51_0))=esk51_0|nil=esk51_0),inference(cn,[status(thm)],[7061,theory(equality)])).
% cnf(7063,negated_conjecture,(cons(hd(esk51_0),tl(esk51_0))=esk51_0),inference(sr,[status(thm)],[7062,1343,theory(equality)])).
% cnf(8750,plain,(app(X1,X2)=nil|nil=X1|ssList(app(tl(X1),X2))|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[846,222])).
% cnf(8751,plain,(nil=X1|ssList(app(tl(X1),X2))|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[8750,154])).
% cnf(8757,negated_conjecture,(nil=esk51_0|ssList(tl(esk51_0))|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[8751,7046,theory(equality)])).
% cnf(8760,negated_conjecture,(nil=esk51_0|ssList(tl(esk51_0))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[8757,110,theory(equality)])).
% cnf(8761,negated_conjecture,(nil=esk51_0|ssList(tl(esk51_0))|$false|$false),inference(rw,[status(thm)],[8760,586,theory(equality)])).
% cnf(8762,negated_conjecture,(nil=esk51_0|ssList(tl(esk51_0))),inference(cn,[status(thm)],[8761,theory(equality)])).
% cnf(8763,negated_conjecture,(ssList(tl(esk51_0))),inference(sr,[status(thm)],[8762,1343,theory(equality)])).
% cnf(9866,negated_conjecture,(ssList(app(esk51_0,X1))|~ssList(app(nil,X1))|~ssList(esk51_0)|~ssList(X1)),inference(spm,[status(thm)],[222,7049,theory(equality)])).
% cnf(9911,negated_conjecture,(app(esk51_0,esk51_0)=app(esk51_0,esk2_2(esk51_0,nil))|ssItem(hd(esk51_0))|~ssList(esk2_2(esk51_0,nil))),inference(spm,[status(thm)],[7049,1930,theory(equality)])).
% cnf(9916,negated_conjecture,(ssList(app(esk51_0,X1))|~ssList(app(nil,X1))|$false|~ssList(X1)),inference(rw,[status(thm)],[9866,586,theory(equality)])).
% cnf(9917,negated_conjecture,(ssList(app(esk51_0,X1))|~ssList(app(nil,X1))|~ssList(X1)),inference(cn,[status(thm)],[9916,theory(equality)])).
% cnf(9976,negated_conjecture,(app(esk51_0,esk51_0)=app(esk51_0,esk2_2(esk51_0,nil))|ssItem(hd(esk51_0))|$false),inference(rw,[status(thm)],[9911,1375,theory(equality)])).
% cnf(9977,negated_conjecture,(app(esk51_0,esk51_0)=app(esk51_0,esk2_2(esk51_0,nil))|ssItem(hd(esk51_0))),inference(cn,[status(thm)],[9976,theory(equality)])).
% cnf(10076,negated_conjecture,(ssList(app(esk51_0,esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[9917,4177,theory(equality)])).
% cnf(10093,negated_conjecture,(ssList(app(esk51_0,esk51_0))|$false),inference(rw,[status(thm)],[10076,586,theory(equality)])).
% cnf(10094,negated_conjecture,(ssList(app(esk51_0,esk51_0))),inference(cn,[status(thm)],[10093,theory(equality)])).
% cnf(10154,negated_conjecture,(nil=esk51_0|ssItem(hd(esk51_0))|app(esk51_0,esk51_0)!=nil|~ssList(esk2_2(esk51_0,nil))|~ssList(esk51_0)),inference(spm,[status(thm)],[154,9977,theory(equality)])).
% cnf(10156,negated_conjecture,(hd(app(esk51_0,esk51_0))=hd(esk51_0)|nil=esk51_0|ssItem(hd(esk51_0))|~ssList(esk2_2(esk51_0,nil))|~ssList(esk51_0)),inference(spm,[status(thm)],[269,9977,theory(equality)])).
% cnf(10205,negated_conjecture,(nil=esk51_0|ssItem(hd(esk51_0))|app(esk51_0,esk51_0)!=nil|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[10154,1375,theory(equality)])).
% cnf(10206,negated_conjecture,(nil=esk51_0|ssItem(hd(esk51_0))|app(esk51_0,esk51_0)!=nil|$false|$false),inference(rw,[status(thm)],[10205,586,theory(equality)])).
% cnf(10207,negated_conjecture,(nil=esk51_0|ssItem(hd(esk51_0))|app(esk51_0,esk51_0)!=nil),inference(cn,[status(thm)],[10206,theory(equality)])).
% cnf(10208,negated_conjecture,(ssItem(hd(esk51_0))|app(esk51_0,esk51_0)!=nil),inference(sr,[status(thm)],[10207,1343,theory(equality)])).
% cnf(10213,negated_conjecture,(hd(app(esk51_0,esk51_0))=hd(esk51_0)|nil=esk51_0|ssItem(hd(esk51_0))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[10156,1375,theory(equality)])).
% cnf(10214,negated_conjecture,(hd(app(esk51_0,esk51_0))=hd(esk51_0)|nil=esk51_0|ssItem(hd(esk51_0))|$false|$false),inference(rw,[status(thm)],[10213,586,theory(equality)])).
% cnf(10215,negated_conjecture,(hd(app(esk51_0,esk51_0))=hd(esk51_0)|nil=esk51_0|ssItem(hd(esk51_0))),inference(cn,[status(thm)],[10214,theory(equality)])).
% cnf(10216,negated_conjecture,(hd(app(esk51_0,esk51_0))=hd(esk51_0)|ssItem(hd(esk51_0))),inference(sr,[status(thm)],[10215,1343,theory(equality)])).
% cnf(10652,plain,(segmentP(app(X1,X2),X1)|~ssList(X2)|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[867,148,theory(equality)])).
% cnf(10739,plain,(segmentP(app(X1,X2),X1)|~ssList(X2)|$false|~ssList(X1)),inference(rw,[status(thm)],[10652,110,theory(equality)])).
% cnf(10740,plain,(segmentP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[10739,theory(equality)])).
% cnf(12220,negated_conjecture,(nil=app(esk51_0,esk51_0)|ssItem(hd(esk51_0))|~ssList(app(esk51_0,esk51_0))),inference(spm,[status(thm)],[218,10216,theory(equality)])).
% cnf(12229,negated_conjecture,(nil=app(esk51_0,esk51_0)|ssItem(hd(esk51_0))|$false),inference(rw,[status(thm)],[12220,10094,theory(equality)])).
% cnf(12230,negated_conjecture,(nil=app(esk51_0,esk51_0)|ssItem(hd(esk51_0))),inference(cn,[status(thm)],[12229,theory(equality)])).
% cnf(12248,negated_conjecture,(ssItem(hd(esk51_0))),inference(csr,[status(thm)],[12230,10208])).
% cnf(20077,plain,(cons(X1,X2)=nil|cons(X1,app(X2,X3))!=nil|~ssItem(X1)|~ssList(X2)|~ssList(X3)),inference(csr,[status(thm)],[958,299])).
% cnf(20078,plain,(cons(X1,app(X2,X3))!=nil|~ssItem(X1)|~ssList(X3)|~ssList(X2)),inference(csr,[status(thm)],[20077,195])).
% cnf(20119,plain,(cons(X1,nil)!=nil|~ssItem(X1)|~ssList(nil)),inference(spm,[status(thm)],[20078,1457,theory(equality)])).
% cnf(20203,plain,(cons(X1,nil)!=nil|~ssItem(X1)|$false),inference(rw,[status(thm)],[20119,110,theory(equality)])).
% cnf(20204,plain,(cons(X1,nil)!=nil|~ssItem(X1)),inference(cn,[status(thm)],[20203,theory(equality)])).
% cnf(20237,plain,(ssList(cons(X1,app(X2,X3)))|~ssItem(X1)|~ssList(X2)|~ssList(X3)),inference(csr,[status(thm)],[959,299])).
% cnf(20278,plain,(ssList(cons(X1,nil))|~ssItem(X1)|~ssList(nil)),inference(spm,[status(thm)],[20237,1457,theory(equality)])).
% cnf(20362,plain,(ssList(cons(X1,nil))|~ssItem(X1)|$false),inference(rw,[status(thm)],[20278,110,theory(equality)])).
% cnf(20363,plain,(ssList(cons(X1,nil))|~ssItem(X1)),inference(cn,[status(thm)],[20362,theory(equality)])).
% cnf(86910,plain,(rearsegP(cons(X1,X2),X2)|~ssItem(X1)|~ssList(X2)),inference(csr,[status(thm)],[3837,20363])).
% cnf(86930,negated_conjecture,(rearsegP(esk51_0,tl(esk51_0))|~ssItem(hd(esk51_0))|~ssList(tl(esk51_0))),inference(spm,[status(thm)],[86910,7063,theory(equality)])).
% cnf(86953,negated_conjecture,(rearsegP(esk51_0,tl(esk51_0))|$false|~ssList(tl(esk51_0))),inference(rw,[status(thm)],[86930,12248,theory(equality)])).
% cnf(86954,negated_conjecture,(rearsegP(esk51_0,tl(esk51_0))|$false|$false),inference(rw,[status(thm)],[86953,8763,theory(equality)])).
% cnf(86955,negated_conjecture,(rearsegP(esk51_0,tl(esk51_0))),inference(cn,[status(thm)],[86954,theory(equality)])).
% cnf(86965,negated_conjecture,(ssList(esk15_2(esk51_0,tl(esk51_0)))|~ssList(tl(esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[387,86955,theory(equality)])).
% cnf(86966,negated_conjecture,(app(esk15_2(esk51_0,tl(esk51_0)),tl(esk51_0))=esk51_0|~ssList(tl(esk51_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[386,86955,theory(equality)])).
% cnf(86970,negated_conjecture,(ssList(esk15_2(esk51_0,tl(esk51_0)))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[86965,8763,theory(equality)])).
% cnf(86971,negated_conjecture,(ssList(esk15_2(esk51_0,tl(esk51_0)))|$false|$false),inference(rw,[status(thm)],[86970,586,theory(equality)])).
% cnf(86972,negated_conjecture,(ssList(esk15_2(esk51_0,tl(esk51_0)))),inference(cn,[status(thm)],[86971,theory(equality)])).
% cnf(86973,negated_conjecture,(app(esk15_2(esk51_0,tl(esk51_0)),tl(esk51_0))=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[86966,8763,theory(equality)])).
% cnf(86974,negated_conjecture,(app(esk15_2(esk51_0,tl(esk51_0)),tl(esk51_0))=esk51_0|$false|$false),inference(rw,[status(thm)],[86973,586,theory(equality)])).
% cnf(86975,negated_conjecture,(app(esk15_2(esk51_0,tl(esk51_0)),tl(esk51_0))=esk51_0),inference(cn,[status(thm)],[86974,theory(equality)])).
% cnf(87012,negated_conjecture,(segmentP(esk51_0,esk15_2(esk51_0,tl(esk51_0)))|~ssList(tl(esk51_0))|~ssList(esk15_2(esk51_0,tl(esk51_0)))),inference(spm,[status(thm)],[10740,86975,theory(equality)])).
% cnf(87189,negated_conjecture,(segmentP(esk51_0,esk15_2(esk51_0,tl(esk51_0)))|$false|~ssList(esk15_2(esk51_0,tl(esk51_0)))),inference(rw,[status(thm)],[87012,8763,theory(equality)])).
% cnf(87190,negated_conjecture,(segmentP(esk51_0,esk15_2(esk51_0,tl(esk51_0)))|$false|$false),inference(rw,[status(thm)],[87189,86972,theory(equality)])).
% cnf(87191,negated_conjecture,(segmentP(esk51_0,esk15_2(esk51_0,tl(esk51_0)))),inference(cn,[status(thm)],[87190,theory(equality)])).
% cnf(87736,negated_conjecture,(~equalelemsP(esk15_2(esk51_0,tl(esk51_0)))|~neq(nil,esk15_2(esk51_0,tl(esk51_0)))|~ssList(esk15_2(esk51_0,tl(esk51_0)))),inference(spm,[status(thm)],[1568,87191,theory(equality)])).
% cnf(87755,negated_conjecture,(~equalelemsP(esk15_2(esk51_0,tl(esk51_0)))|~neq(nil,esk15_2(esk51_0,tl(esk51_0)))|$false),inference(rw,[status(thm)],[87736,86972,theory(equality)])).
% cnf(87756,negated_conjecture,(~equalelemsP(esk15_2(esk51_0,tl(esk51_0)))|~neq(nil,esk15_2(esk51_0,tl(esk51_0)))),inference(cn,[status(thm)],[87755,theory(equality)])).
% cnf(109448,plain,(hd(cons(X1,X2))=hd(cons(X1,nil))|~ssItem(X1)|~ssList(X2)),inference(csr,[status(thm)],[5061,20204])).
% cnf(109577,negated_conjecture,(hd(esk51_0)=hd(cons(hd(esk51_0),nil))|~ssItem(hd(esk51_0))|~ssList(tl(esk51_0))),inference(spm,[status(thm)],[109448,7063,theory(equality)])).
% cnf(109665,negated_conjecture,(hd(esk51_0)=hd(cons(hd(esk51_0),nil))|$false|~ssList(tl(esk51_0))),inference(rw,[status(thm)],[109577,12248,theory(equality)])).
% cnf(109666,negated_conjecture,(hd(esk51_0)=hd(cons(hd(esk51_0),nil))|$false|$false),inference(rw,[status(thm)],[109665,8763,theory(equality)])).
% cnf(109667,negated_conjecture,(hd(esk51_0)=hd(cons(hd(esk51_0),nil))),inference(cn,[status(thm)],[109666,theory(equality)])).
% cnf(109721,negated_conjecture,(cons(hd(esk51_0),tl(cons(hd(esk51_0),nil)))=cons(hd(esk51_0),nil)|~ssItem(hd(esk51_0))|~ssList(nil)),inference(spm,[status(thm)],[3080,109667,theory(equality)])).
% cnf(109767,negated_conjecture,(cons(hd(esk51_0),tl(cons(hd(esk51_0),nil)))=cons(hd(esk51_0),nil)|$false|~ssList(nil)),inference(rw,[status(thm)],[109721,12248,theory(equality)])).
% cnf(109768,negated_conjecture,(cons(hd(esk51_0),tl(cons(hd(esk51_0),nil)))=cons(hd(esk51_0),nil)|$false|$false),inference(rw,[status(thm)],[109767,110,theory(equality)])).
% cnf(109769,negated_conjecture,(cons(hd(esk51_0),tl(cons(hd(esk51_0),nil)))=cons(hd(esk51_0),nil)),inference(cn,[status(thm)],[109768,theory(equality)])).
% cnf(109829,negated_conjecture,(cons(hd(esk51_0),nil)!=tl(cons(hd(esk51_0),nil))|~ssItem(hd(esk51_0))|~ssList(tl(cons(hd(esk51_0),nil)))),inference(spm,[status(thm)],[281,109769,theory(equality)])).
% cnf(109830,negated_conjecture,(ssList(cons(hd(esk51_0),nil))|~ssItem(hd(esk51_0))|~ssList(tl(cons(hd(esk51_0),nil)))),inference(spm,[status(thm)],[299,109769,theory(equality)])).
% cnf(110082,negated_conjecture,(cons(hd(esk51_0),nil)!=tl(cons(hd(esk51_0),nil))|$false|~ssList(tl(cons(hd(esk51_0),nil)))),inference(rw,[status(thm)],[109829,12248,theory(equality)])).
% cnf(110083,negated_conjecture,(cons(hd(esk51_0),nil)!=tl(cons(hd(esk51_0),nil))|~ssList(tl(cons(hd(esk51_0),nil)))),inference(cn,[status(thm)],[110082,theory(equality)])).
% cnf(110084,negated_conjecture,(ssList(cons(hd(esk51_0),nil))|$false|~ssList(tl(cons(hd(esk51_0),nil)))),inference(rw,[status(thm)],[109830,12248,theory(equality)])).
% cnf(110085,negated_conjecture,(ssList(cons(hd(esk51_0),nil))|~ssList(tl(cons(hd(esk51_0),nil)))),inference(cn,[status(thm)],[110084,theory(equality)])).
% cnf(110596,negated_conjecture,(ssList(cons(hd(esk51_0),nil))|~ssList(nil)|~ssItem(hd(esk51_0))),inference(spm,[status(thm)],[110085,467,theory(equality)])).
% cnf(110602,negated_conjecture,(ssList(cons(hd(esk51_0),nil))|$false|~ssItem(hd(esk51_0))),inference(rw,[status(thm)],[110596,110,theory(equality)])).
% cnf(110603,negated_conjecture,(ssList(cons(hd(esk51_0),nil))|$false|$false),inference(rw,[status(thm)],[110602,12248,theory(equality)])).
% cnf(110604,negated_conjecture,(ssList(cons(hd(esk51_0),nil))),inference(cn,[status(thm)],[110603,theory(equality)])).
% cnf(110620,negated_conjecture,(nil!=cons(hd(esk51_0),nil)|~ssList(nil)|~ssItem(hd(esk51_0))),inference(spm,[status(thm)],[110083,467,theory(equality)])).
% cnf(110622,negated_conjecture,(nil!=cons(hd(esk51_0),nil)|$false|~ssItem(hd(esk51_0))),inference(rw,[status(thm)],[110620,110,theory(equality)])).
% cnf(110623,negated_conjecture,(nil!=cons(hd(esk51_0),nil)|$false|$false),inference(rw,[status(thm)],[110622,12248,theory(equality)])).
% cnf(110624,negated_conjecture,(nil!=cons(hd(esk51_0),nil)),inference(cn,[status(thm)],[110623,theory(equality)])).
% cnf(112225,plain,(X1=cons(hd(X2),nil)|nil=X2|app(X1,tl(X2))!=X2|~ssItem(hd(X2))|~ssList(cons(hd(X2),nil))|~ssList(X1)|~ssList(X2)),inference(csr,[status(thm)],[5240,165])).
% cnf(112226,plain,(X1=cons(hd(X2),nil)|nil=X2|app(X1,tl(X2))!=X2|~ssItem(hd(X2))|~ssList(X1)|~ssList(X2)),inference(csr,[status(thm)],[112225,20363])).
% cnf(112227,plain,(X1=cons(hd(X2),nil)|nil=X2|app(X1,tl(X2))!=X2|~ssList(X1)|~ssList(X2)),inference(csr,[status(thm)],[112226,218])).
% cnf(112238,negated_conjecture,(esk15_2(esk51_0,tl(esk51_0))=cons(hd(esk51_0),nil)|nil=esk51_0|~ssList(esk15_2(esk51_0,tl(esk51_0)))|~ssList(esk51_0)),inference(spm,[status(thm)],[112227,86975,theory(equality)])).
% cnf(112259,negated_conjecture,(esk15_2(esk51_0,tl(esk51_0))=cons(hd(esk51_0),nil)|nil=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[112238,86972,theory(equality)])).
% cnf(112260,negated_conjecture,(esk15_2(esk51_0,tl(esk51_0))=cons(hd(esk51_0),nil)|nil=esk51_0|$false|$false),inference(rw,[status(thm)],[112259,586,theory(equality)])).
% cnf(112261,negated_conjecture,(esk15_2(esk51_0,tl(esk51_0))=cons(hd(esk51_0),nil)|nil=esk51_0),inference(cn,[status(thm)],[112260,theory(equality)])).
% cnf(112262,negated_conjecture,(esk15_2(esk51_0,tl(esk51_0))=cons(hd(esk51_0),nil)),inference(sr,[status(thm)],[112261,1343,theory(equality)])).
% cnf(112285,negated_conjecture,(~equalelemsP(cons(hd(esk51_0),nil))|~neq(nil,esk15_2(esk51_0,tl(esk51_0)))),inference(rw,[status(thm)],[87756,112262,theory(equality)])).
% cnf(112286,negated_conjecture,(~equalelemsP(cons(hd(esk51_0),nil))|~neq(nil,cons(hd(esk51_0),nil))),inference(rw,[status(thm)],[112285,112262,theory(equality)])).
% cnf(112333,negated_conjecture,(~neq(nil,cons(hd(esk51_0),nil))|~ssItem(hd(esk51_0))),inference(spm,[status(thm)],[112286,184,theory(equality)])).
% cnf(112334,negated_conjecture,(~neq(nil,cons(hd(esk51_0),nil))|$false),inference(rw,[status(thm)],[112333,12248,theory(equality)])).
% cnf(112335,negated_conjecture,(~neq(nil,cons(hd(esk51_0),nil))),inference(cn,[status(thm)],[112334,theory(equality)])).
% cnf(112336,negated_conjecture,(nil=cons(hd(esk51_0),nil)|~ssList(cons(hd(esk51_0),nil))|~ssList(nil)),inference(spm,[status(thm)],[112335,108,theory(equality)])).
% cnf(112338,negated_conjecture,(nil=cons(hd(esk51_0),nil)|$false|~ssList(nil)),inference(rw,[status(thm)],[112336,110604,theory(equality)])).
% cnf(112339,negated_conjecture,(nil=cons(hd(esk51_0),nil)|$false|$false),inference(rw,[status(thm)],[112338,110,theory(equality)])).
% cnf(112340,negated_conjecture,(nil=cons(hd(esk51_0),nil)),inference(cn,[status(thm)],[112339,theory(equality)])).
% cnf(112341,negated_conjecture,($false),inference(sr,[status(thm)],[112340,110624,theory(equality)])).
% cnf(112342,negated_conjecture,($false),112341,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 8380
% # ...of these trivial : 106
% # ...subsumed : 5582
% # ...remaining for further processing: 2692
% # Other redundant clauses eliminated : 1077
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 77
% # Backward-rewritten : 528
% # Generated clauses : 42560
% # ...of the previous two non-trivial : 37310
% # Contextual simplify-reflections : 2647
% # Paramodulations : 41167
% # Factorizations : 0
% # Equation resolutions : 1393
% # Current number of processed clauses: 2081
% # Positive orientable unit clauses: 405
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 95
% # Non-unit-clauses : 1581
% # Current number of unprocessed clauses: 25940
% # ...number of literals in the above : 180107
% # Clause-clause subsumption calls (NU) : 173722
% # Rec. Clause-clause subsumption calls : 107515
% # Unit Clause-clause subsumption calls : 1006
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 539
% # Indexed BW rewrite successes : 109
% # Backwards rewriting index: 1584 leaves, 1.40+/-1.200 terms/leaf
% # Paramod-from index: 661 leaves, 1.26+/-0.995 terms/leaf
% # Paramod-into index: 1307 leaves, 1.32+/-1.106 terms/leaf
% # -------------------------------------------------
% # User time : 2.680 s
% # System time : 0.083 s
% # Total time : 2.763 s
% # Maximum resident set size: 0 pages
% PrfWatch: 4.48 CPU 4.61 WC
% FINAL PrfWatch: 4.48 CPU 4.61 WC
% SZS output end Solution for /tmp/SystemOnTPTP23042/SWC117+1.tptp
%
%------------------------------------------------------------------------------