TSTP Solution File: SWC099+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC099+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 07:08:22 EST 2010
% Result : Theorem 9.73s
% Output : Solution 9.73s
% 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/SystemOnTPTP29262/SWC099+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP29262/SWC099+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP29262/SWC099+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 29394
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.93 CPU 2.01 WC
% PrfWatch: 3.93 CPU 4.02 WC
% # Preprocessing time : 0.028 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 5.93 CPU 6.03 WC
% PrfWatch: 7.93 CPU 8.03 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(3, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>((frontsegP(X1,X2)&frontsegP(X2,X3))=>frontsegP(X1,X3))))),file('/tmp/SRASS.s.p', ax40)).
% fof(4, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>((frontsegP(X1,X2)&frontsegP(X2,X1))=>X1=X2))),file('/tmp/SRASS.s.p', ax41)).
% fof(6, axiom,![X1]:(ssList(X1)=>frontsegP(X1,nil)),file('/tmp/SRASS.s.p', ax45)).
% fof(7, axiom,![X1]:(ssList(X1)=>(frontsegP(nil,X1)<=>nil=X1)),file('/tmp/SRASS.s.p', ax46)).
% fof(10, axiom,![X1]:(ssList(X1)=>segmentP(X1,X1)),file('/tmp/SRASS.s.p', ax55)).
% fof(11, axiom,![X1]:(ssList(X1)=>segmentP(X1,nil)),file('/tmp/SRASS.s.p', ax57)).
% fof(15, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(frontsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X2,X3)=X1)))),file('/tmp/SRASS.s.p', ax5)).
% fof(16, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(segmentP(X1,X2)<=>?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&app(app(X3,X2),X4)=X1))))),file('/tmp/SRASS.s.p', ax7)).
% fof(17, axiom,![X1]:(ssList(X1)=>app(nil,X1)=X1),file('/tmp/SRASS.s.p', ax28)).
% fof(18, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(nil=app(X1,X2)<=>(nil=X2&nil=X1)))),file('/tmp/SRASS.s.p', ax83)).
% fof(19, axiom,![X1]:(ssList(X1)=>app(X1,nil)=X1),file('/tmp/SRASS.s.p', ax84)).
% fof(20, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>(frontsegP(X1,X2)=>frontsegP(app(X1,X3),X2))))),file('/tmp/SRASS.s.p', ax43)).
% fof(22, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>ssList(tl(X1)))),file('/tmp/SRASS.s.p', ax24)).
% fof(26, axiom,![X1]:(ssItem(X1)=>equalelemsP(cons(X1,nil))),file('/tmp/SRASS.s.p', ax73)).
% fof(28, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>~(nil=cons(X2,X1)))),file('/tmp/SRASS.s.p', ax21)).
% fof(31, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>app(app(X1,X2),X3)=app(X1,app(X2,X3))))),file('/tmp/SRASS.s.p', ax82)).
% fof(33, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>ssList(cons(X2,X1)))),file('/tmp/SRASS.s.p', ax16)).
% fof(34, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>ssItem(hd(X1)))),file('/tmp/SRASS.s.p', ax22)).
% fof(35, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>ssList(app(X1,X2)))),file('/tmp/SRASS.s.p', ax26)).
% fof(38, axiom,![X1]:(ssList(X1)=>rearsegP(X1,nil)),file('/tmp/SRASS.s.p', ax51)).
% fof(42, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(~(nil=X1)=>hd(app(X1,X2))=hd(X1)))),file('/tmp/SRASS.s.p', ax85)).
% fof(43, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(~(nil=X1)=>tl(app(X1,X2))=app(tl(X1),X2)))),file('/tmp/SRASS.s.p', ax86)).
% fof(50, 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(66, 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(73, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>cons(X2,X1)=app(cons(X2,nil),X1))),file('/tmp/SRASS.s.p', ax81)).
% fof(74, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(rearsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X3,X2)=X1)))),file('/tmp/SRASS.s.p', ax6)).
% fof(81, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>cons(hd(X1),tl(X1))=X1)),file('/tmp/SRASS.s.p', ax78)).
% fof(96, conjecture,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(ssList(X4)=>(((((~(X2=X4)|~(X1=X3))|~(frontsegP(X4,X3)))|~(equalelemsP(X3)))|?[X5]:((((ssList(X5)&neq(X3,X5))&frontsegP(X4,X5))&segmentP(X5,X3))&equalelemsP(X5)))|((~(nil=X2)|nil=X1)&(~(neq(X2,nil))|(neq(X1,nil)&frontsegP(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))|~(frontsegP(X4,X3)))|~(equalelemsP(X3)))|?[X5]:((((ssList(X5)&neq(X3,X5))&frontsegP(X4,X5))&segmentP(X5,X3))&equalelemsP(X5)))|((~(nil=X2)|nil=X1)&(~(neq(X2,nil))|(neq(X1,nil)&frontsegP(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))|~(frontsegP(X4,X3)))|~(equalelemsP(X3)))|?[X5]:((((ssList(X5)&neq(X3,X5))&frontsegP(X4,X5))&segmentP(X5,X3))&equalelemsP(X5)))|((~(nil=X2)|nil=X1)&(~(neq(X2,nil))|(neq(X1,nil)&frontsegP(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(111, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|((~(frontsegP(X1,X2))|~(frontsegP(X2,X3)))|frontsegP(X1,X3))))),inference(fof_nnf,[status(thm)],[3])).
% fof(112, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|((~(frontsegP(X4,X5))|~(frontsegP(X5,X6)))|frontsegP(X4,X6))))),inference(variable_rename,[status(thm)],[111])).
% fof(113, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|((~(frontsegP(X4,X5))|~(frontsegP(X5,X6)))|frontsegP(X4,X6)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[112])).
% cnf(114,plain,(frontsegP(X1,X3)|~ssList(X1)|~ssList(X2)|~frontsegP(X2,X3)|~frontsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[113])).
% fof(115, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(frontsegP(X1,X2))|~(frontsegP(X2,X1)))|X1=X2))),inference(fof_nnf,[status(thm)],[4])).
% fof(116, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(frontsegP(X3,X4))|~(frontsegP(X4,X3)))|X3=X4))),inference(variable_rename,[status(thm)],[115])).
% fof(117, plain,![X3]:![X4]:((~(ssList(X4))|((~(frontsegP(X3,X4))|~(frontsegP(X4,X3)))|X3=X4))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[116])).
% cnf(118,plain,(X1=X2|~ssList(X1)|~frontsegP(X2,X1)|~frontsegP(X1,X2)|~ssList(X2)),inference(split_conjunct,[status(thm)],[117])).
% fof(122, plain,![X1]:(~(ssList(X1))|frontsegP(X1,nil)),inference(fof_nnf,[status(thm)],[6])).
% fof(123, plain,![X2]:(~(ssList(X2))|frontsegP(X2,nil)),inference(variable_rename,[status(thm)],[122])).
% cnf(124,plain,(frontsegP(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[123])).
% fof(125, plain,![X1]:(~(ssList(X1))|((~(frontsegP(nil,X1))|nil=X1)&(~(nil=X1)|frontsegP(nil,X1)))),inference(fof_nnf,[status(thm)],[7])).
% fof(126, plain,![X2]:(~(ssList(X2))|((~(frontsegP(nil,X2))|nil=X2)&(~(nil=X2)|frontsegP(nil,X2)))),inference(variable_rename,[status(thm)],[125])).
% fof(127, plain,![X2]:(((~(frontsegP(nil,X2))|nil=X2)|~(ssList(X2)))&((~(nil=X2)|frontsegP(nil,X2))|~(ssList(X2)))),inference(distribute,[status(thm)],[126])).
% cnf(128,plain,(frontsegP(nil,X1)|~ssList(X1)|nil!=X1),inference(split_conjunct,[status(thm)],[127])).
% fof(138, plain,![X1]:(~(ssList(X1))|segmentP(X1,X1)),inference(fof_nnf,[status(thm)],[10])).
% fof(139, plain,![X2]:(~(ssList(X2))|segmentP(X2,X2)),inference(variable_rename,[status(thm)],[138])).
% cnf(140,plain,(segmentP(X1,X1)|~ssList(X1)),inference(split_conjunct,[status(thm)],[139])).
% fof(141, plain,![X1]:(~(ssList(X1))|segmentP(X1,nil)),inference(fof_nnf,[status(thm)],[11])).
% fof(142, plain,![X2]:(~(ssList(X2))|segmentP(X2,nil)),inference(variable_rename,[status(thm)],[141])).
% cnf(143,plain,(segmentP(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[142])).
% fof(156, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(frontsegP(X1,X2))|?[X3]:(ssList(X3)&app(X2,X3)=X1))&(![X3]:(~(ssList(X3))|~(app(X2,X3)=X1))|frontsegP(X1,X2))))),inference(fof_nnf,[status(thm)],[15])).
% fof(157, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(frontsegP(X4,X5))|?[X6]:(ssList(X6)&app(X5,X6)=X4))&(![X7]:(~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))))),inference(variable_rename,[status(thm)],[156])).
% fof(158, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(frontsegP(X4,X5))|(ssList(esk1_2(X4,X5))&app(X5,esk1_2(X4,X5))=X4))&(![X7]:(~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))))),inference(skolemize,[status(esa)],[157])).
% fof(159, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))&(~(frontsegP(X4,X5))|(ssList(esk1_2(X4,X5))&app(X5,esk1_2(X4,X5))=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[158])).
% fof(160, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk1_2(X4,X5))|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(X5,esk1_2(X4,X5))=X4|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[159])).
% cnf(161,plain,(app(X2,esk1_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[160])).
% cnf(162,plain,(ssList(esk1_2(X1,X2))|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[160])).
% cnf(163,plain,(frontsegP(X1,X2)|~ssList(X1)|~ssList(X2)|app(X2,X3)!=X1|~ssList(X3)),inference(split_conjunct,[status(thm)],[160])).
% fof(164, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(segmentP(X1,X2))|?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&app(app(X3,X2),X4)=X1)))&(![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|~(app(app(X3,X2),X4)=X1)))|segmentP(X1,X2))))),inference(fof_nnf,[status(thm)],[16])).
% fof(165, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|((~(segmentP(X5,X6))|?[X7]:(ssList(X7)&?[X8]:(ssList(X8)&app(app(X7,X6),X8)=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(app(X9,X6),X10)=X5)))|segmentP(X5,X6))))),inference(variable_rename,[status(thm)],[164])).
% fof(166, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|((~(segmentP(X5,X6))|(ssList(esk2_2(X5,X6))&(ssList(esk3_2(X5,X6))&app(app(esk2_2(X5,X6),X6),esk3_2(X5,X6))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(app(X9,X6),X10)=X5)))|segmentP(X5,X6))))),inference(skolemize,[status(esa)],[165])).
% fof(167, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(app(X9,X6),X10)=X5))|~(ssList(X9)))|segmentP(X5,X6))&(~(segmentP(X5,X6))|(ssList(esk2_2(X5,X6))&(ssList(esk3_2(X5,X6))&app(app(esk2_2(X5,X6),X6),esk3_2(X5,X6))=X5))))|~(ssList(X6)))|~(ssList(X5))),inference(shift_quantors,[status(thm)],[166])).
% fof(168, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(app(X9,X6),X10)=X5))|~(ssList(X9)))|segmentP(X5,X6))|~(ssList(X6)))|~(ssList(X5)))&((((ssList(esk2_2(X5,X6))|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))&((((ssList(esk3_2(X5,X6))|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))&(((app(app(esk2_2(X5,X6),X6),esk3_2(X5,X6))=X5|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))))),inference(distribute,[status(thm)],[167])).
% cnf(169,plain,(app(app(esk2_2(X1,X2),X2),esk3_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~segmentP(X1,X2)),inference(split_conjunct,[status(thm)],[168])).
% cnf(170,plain,(ssList(esk3_2(X1,X2))|~ssList(X1)|~ssList(X2)|~segmentP(X1,X2)),inference(split_conjunct,[status(thm)],[168])).
% cnf(171,plain,(ssList(esk2_2(X1,X2))|~ssList(X1)|~ssList(X2)|~segmentP(X1,X2)),inference(split_conjunct,[status(thm)],[168])).
% cnf(172,plain,(segmentP(X1,X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|app(app(X3,X2),X4)!=X1|~ssList(X4)),inference(split_conjunct,[status(thm)],[168])).
% fof(173, plain,![X1]:(~(ssList(X1))|app(nil,X1)=X1),inference(fof_nnf,[status(thm)],[17])).
% fof(174, plain,![X2]:(~(ssList(X2))|app(nil,X2)=X2),inference(variable_rename,[status(thm)],[173])).
% cnf(175,plain,(app(nil,X1)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[174])).
% fof(176, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(nil=app(X1,X2))|(nil=X2&nil=X1))&((~(nil=X2)|~(nil=X1))|nil=app(X1,X2))))),inference(fof_nnf,[status(thm)],[18])).
% fof(177, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(nil=app(X3,X4))|(nil=X4&nil=X3))&((~(nil=X4)|~(nil=X3))|nil=app(X3,X4))))),inference(variable_rename,[status(thm)],[176])).
% fof(178, plain,![X3]:![X4]:((~(ssList(X4))|((~(nil=app(X3,X4))|(nil=X4&nil=X3))&((~(nil=X4)|~(nil=X3))|nil=app(X3,X4))))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[177])).
% fof(179, plain,![X3]:![X4]:(((((nil=X4|~(nil=app(X3,X4)))|~(ssList(X4)))|~(ssList(X3)))&(((nil=X3|~(nil=app(X3,X4)))|~(ssList(X4)))|~(ssList(X3))))&((((~(nil=X4)|~(nil=X3))|nil=app(X3,X4))|~(ssList(X4)))|~(ssList(X3)))),inference(distribute,[status(thm)],[178])).
% cnf(181,plain,(nil=X1|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[179])).
% cnf(182,plain,(nil=X2|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[179])).
% fof(183, plain,![X1]:(~(ssList(X1))|app(X1,nil)=X1),inference(fof_nnf,[status(thm)],[19])).
% fof(184, plain,![X2]:(~(ssList(X2))|app(X2,nil)=X2),inference(variable_rename,[status(thm)],[183])).
% cnf(185,plain,(app(X1,nil)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[184])).
% fof(186, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(frontsegP(X1,X2))|frontsegP(app(X1,X3),X2))))),inference(fof_nnf,[status(thm)],[20])).
% fof(187, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(frontsegP(X4,X5))|frontsegP(app(X4,X6),X5))))),inference(variable_rename,[status(thm)],[186])).
% fof(188, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(frontsegP(X4,X5))|frontsegP(app(X4,X6),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[187])).
% cnf(189,plain,(frontsegP(app(X1,X3),X2)|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[188])).
% fof(194, plain,![X1]:(~(ssList(X1))|(nil=X1|ssList(tl(X1)))),inference(fof_nnf,[status(thm)],[22])).
% fof(195, plain,![X2]:(~(ssList(X2))|(nil=X2|ssList(tl(X2)))),inference(variable_rename,[status(thm)],[194])).
% cnf(196,plain,(ssList(tl(X1))|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[195])).
% fof(215, plain,![X1]:(~(ssItem(X1))|equalelemsP(cons(X1,nil))),inference(fof_nnf,[status(thm)],[26])).
% fof(216, plain,![X2]:(~(ssItem(X2))|equalelemsP(cons(X2,nil))),inference(variable_rename,[status(thm)],[215])).
% cnf(217,plain,(equalelemsP(cons(X1,nil))|~ssItem(X1)),inference(split_conjunct,[status(thm)],[216])).
% fof(225, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|~(nil=cons(X2,X1)))),inference(fof_nnf,[status(thm)],[28])).
% fof(226, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|~(nil=cons(X4,X3)))),inference(variable_rename,[status(thm)],[225])).
% fof(227, plain,![X3]:![X4]:((~(ssItem(X4))|~(nil=cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[226])).
% cnf(228,plain,(~ssList(X1)|nil!=cons(X2,X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[227])).
% fof(237, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|app(app(X1,X2),X3)=app(X1,app(X2,X3))))),inference(fof_nnf,[status(thm)],[31])).
% fof(238, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|app(app(X4,X5),X6)=app(X4,app(X5,X6))))),inference(variable_rename,[status(thm)],[237])).
% fof(239, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|app(app(X4,X5),X6)=app(X4,app(X5,X6)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[238])).
% cnf(240,plain,(app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X1)|~ssList(X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[239])).
% fof(246, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|ssList(cons(X2,X1)))),inference(fof_nnf,[status(thm)],[33])).
% fof(247, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|ssList(cons(X4,X3)))),inference(variable_rename,[status(thm)],[246])).
% fof(248, plain,![X3]:![X4]:((~(ssItem(X4))|ssList(cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[247])).
% cnf(249,plain,(ssList(cons(X2,X1))|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[248])).
% fof(250, plain,![X1]:(~(ssList(X1))|(nil=X1|ssItem(hd(X1)))),inference(fof_nnf,[status(thm)],[34])).
% fof(251, plain,![X2]:(~(ssList(X2))|(nil=X2|ssItem(hd(X2)))),inference(variable_rename,[status(thm)],[250])).
% cnf(252,plain,(ssItem(hd(X1))|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[251])).
% fof(253, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|ssList(app(X1,X2)))),inference(fof_nnf,[status(thm)],[35])).
% fof(254, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|ssList(app(X3,X4)))),inference(variable_rename,[status(thm)],[253])).
% fof(255, plain,![X3]:![X4]:((~(ssList(X4))|ssList(app(X3,X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[254])).
% cnf(256,plain,(ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[255])).
% fof(264, plain,![X1]:(~(ssList(X1))|rearsegP(X1,nil)),inference(fof_nnf,[status(thm)],[38])).
% fof(265, plain,![X2]:(~(ssList(X2))|rearsegP(X2,nil)),inference(variable_rename,[status(thm)],[264])).
% cnf(266,plain,(rearsegP(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[265])).
% fof(289, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|(nil=X1|hd(app(X1,X2))=hd(X1)))),inference(fof_nnf,[status(thm)],[42])).
% fof(290, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|(nil=X3|hd(app(X3,X4))=hd(X3)))),inference(variable_rename,[status(thm)],[289])).
% fof(291, plain,![X3]:![X4]:((~(ssList(X4))|(nil=X3|hd(app(X3,X4))=hd(X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[290])).
% cnf(292,plain,(hd(app(X1,X2))=hd(X1)|nil=X1|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[291])).
% fof(293, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|(nil=X1|tl(app(X1,X2))=app(tl(X1),X2)))),inference(fof_nnf,[status(thm)],[43])).
% fof(294, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|(nil=X3|tl(app(X3,X4))=app(tl(X3),X4)))),inference(variable_rename,[status(thm)],[293])).
% fof(295, plain,![X3]:![X4]:((~(ssList(X4))|(nil=X3|tl(app(X3,X4))=app(tl(X3),X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[294])).
% cnf(296,plain,(tl(app(X1,X2))=app(tl(X1),X2)|nil=X1|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[295])).
% fof(321, 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)],[50])).
% fof(322, 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)],[321])).
% fof(323, 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)],[322])).
% cnf(324,plain,(cons(X3,app(X2,X1))=app(cons(X3,X2),X1)|~ssList(X1)|~ssList(X2)|~ssItem(X3)),inference(split_conjunct,[status(thm)],[323])).
% fof(370, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(rearsegP(X1,X2))|rearsegP(app(X3,X1),X2))))),inference(fof_nnf,[status(thm)],[66])).
% fof(371, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5))))),inference(variable_rename,[status(thm)],[370])).
% fof(372, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[371])).
% cnf(373,plain,(rearsegP(app(X3,X1),X2)|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[372])).
% fof(392, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|cons(X2,X1)=app(cons(X2,nil),X1))),inference(fof_nnf,[status(thm)],[73])).
% fof(393, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))),inference(variable_rename,[status(thm)],[392])).
% fof(394, plain,![X3]:![X4]:((~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[393])).
% cnf(395,plain,(cons(X2,X1)=app(cons(X2,nil),X1)|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[394])).
% fof(396, 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)],[74])).
% fof(397, 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)],[396])).
% fof(398, 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)],[397])).
% fof(399, 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)],[398])).
% fof(400, 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)],[399])).
% cnf(401,plain,(app(esk15_2(X1,X2),X2)=X1|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[400])).
% cnf(402,plain,(ssList(esk15_2(X1,X2))|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[400])).
% fof(479, plain,![X1]:(~(ssList(X1))|(nil=X1|cons(hd(X1),tl(X1))=X1)),inference(fof_nnf,[status(thm)],[81])).
% fof(480, plain,![X2]:(~(ssList(X2))|(nil=X2|cons(hd(X2),tl(X2))=X2)),inference(variable_rename,[status(thm)],[479])).
% cnf(481,plain,(cons(hd(X1),tl(X1))=X1|nil=X1|~ssList(X1)),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)&frontsegP(X4,X3))&equalelemsP(X3))&![X5]:((((~(ssList(X5))|~(neq(X3,X5)))|~(frontsegP(X4,X5)))|~(segmentP(X5,X3)))|~(equalelemsP(X5))))&((nil=X2&~(nil=X1))|(neq(X2,nil)&(~(neq(X1,nil))|~(frontsegP(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)&frontsegP(X9,X8))&equalelemsP(X8))&![X10]:((((~(ssList(X10))|~(neq(X8,X10)))|~(frontsegP(X9,X10)))|~(segmentP(X10,X8)))|~(equalelemsP(X10))))&((nil=X7&~(nil=X6))|(neq(X7,nil)&(~(neq(X6,nil))|~(frontsegP(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)&frontsegP(esk51_0,esk50_0))&equalelemsP(esk50_0))&![X10]:((((~(ssList(X10))|~(neq(esk50_0,X10)))|~(frontsegP(esk51_0,X10)))|~(segmentP(X10,esk50_0)))|~(equalelemsP(X10))))&((nil=esk49_0&~(nil=esk48_0))|(neq(esk49_0,nil)&(~(neq(esk48_0,nil))|~(frontsegP(esk49_0,esk48_0)))))))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,![X10]:((((((((((~(ssList(X10))|~(neq(esk50_0,X10)))|~(frontsegP(esk51_0,X10)))|~(segmentP(X10,esk50_0)))|~(equalelemsP(X10)))&(((esk49_0=esk51_0&esk48_0=esk50_0)&frontsegP(esk51_0,esk50_0))&equalelemsP(esk50_0)))&((nil=esk49_0&~(nil=esk48_0))|(neq(esk49_0,nil)&(~(neq(esk48_0,nil))|~(frontsegP(esk49_0,esk48_0))))))&ssList(esk51_0))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(shift_quantors,[status(thm)],[570])).
% fof(572, negated_conjecture,![X10]:((((((((((~(ssList(X10))|~(neq(esk50_0,X10)))|~(frontsegP(esk51_0,X10)))|~(segmentP(X10,esk50_0)))|~(equalelemsP(X10)))&(((esk49_0=esk51_0&esk48_0=esk50_0)&frontsegP(esk51_0,esk50_0))&equalelemsP(esk50_0)))&(((neq(esk49_0,nil)|nil=esk49_0)&((~(neq(esk48_0,nil))|~(frontsegP(esk49_0,esk48_0)))|nil=esk49_0))&((neq(esk49_0,nil)|~(nil=esk48_0))&((~(neq(esk48_0,nil))|~(frontsegP(esk49_0,esk48_0)))|~(nil=esk48_0)))))&ssList(esk51_0))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(distribute,[status(thm)],[571])).
% cnf(573,negated_conjecture,(ssList(esk48_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(574,negated_conjecture,(ssList(esk49_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(578,negated_conjecture,(neq(esk49_0,nil)|nil!=esk48_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(579,negated_conjecture,(nil=esk49_0|~frontsegP(esk49_0,esk48_0)|~neq(esk48_0,nil)),inference(split_conjunct,[status(thm)],[572])).
% cnf(581,negated_conjecture,(equalelemsP(esk50_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(582,negated_conjecture,(frontsegP(esk51_0,esk50_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(583,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(584,negated_conjecture,(esk49_0=esk51_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(585,negated_conjecture,(~equalelemsP(X1)|~segmentP(X1,esk50_0)|~frontsegP(esk51_0,X1)|~neq(esk50_0,X1)|~ssList(X1)),inference(split_conjunct,[status(thm)],[572])).
% cnf(588,negated_conjecture,(equalelemsP(esk48_0)),inference(rw,[status(thm)],[581,583,theory(equality)])).
% cnf(589,negated_conjecture,(frontsegP(esk49_0,esk48_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[582,584,theory(equality)]),583,theory(equality)])).
% cnf(592,negated_conjecture,(esk49_0=nil|~neq(esk48_0,nil)|$false),inference(rw,[status(thm)],[579,589,theory(equality)])).
% cnf(593,negated_conjecture,(esk49_0=nil|~neq(esk48_0,nil)),inference(cn,[status(thm)],[592,theory(equality)])).
% cnf(594,plain,(frontsegP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[128,theory(equality)])).
% cnf(595,plain,(frontsegP(nil,nil)|$false),inference(rw,[status(thm)],[594,110,theory(equality)])).
% cnf(596,plain,(frontsegP(nil,nil)),inference(cn,[status(thm)],[595,theory(equality)])).
% cnf(604,negated_conjecture,(~ssList(X1)|~equalelemsP(X1)|~segmentP(X1,esk48_0)|~neq(esk50_0,X1)|~frontsegP(esk51_0,X1)),inference(rw,[status(thm)],[585,583,theory(equality)])).
% cnf(605,negated_conjecture,(~ssList(X1)|~equalelemsP(X1)|~segmentP(X1,esk48_0)|~neq(esk48_0,X1)|~frontsegP(esk51_0,X1)),inference(rw,[status(thm)],[604,583,theory(equality)])).
% cnf(606,negated_conjecture,(~ssList(X1)|~equalelemsP(X1)|~segmentP(X1,esk48_0)|~neq(esk48_0,X1)|~frontsegP(esk49_0,X1)),inference(rw,[status(thm)],[605,584,theory(equality)])).
% cnf(607,negated_conjecture,(~equalelemsP(esk48_0)|~frontsegP(esk49_0,esk48_0)|~neq(esk48_0,esk48_0)|~ssList(esk48_0)),inference(spm,[status(thm)],[606,140,theory(equality)])).
% cnf(608,negated_conjecture,($false|~frontsegP(esk49_0,esk48_0)|~neq(esk48_0,esk48_0)|~ssList(esk48_0)),inference(rw,[status(thm)],[607,588,theory(equality)])).
% cnf(609,negated_conjecture,($false|$false|~neq(esk48_0,esk48_0)|~ssList(esk48_0)),inference(rw,[status(thm)],[608,589,theory(equality)])).
% cnf(610,negated_conjecture,($false|$false|~neq(esk48_0,esk48_0)|$false),inference(rw,[status(thm)],[609,573,theory(equality)])).
% cnf(611,negated_conjecture,(~neq(esk48_0,esk48_0)),inference(cn,[status(thm)],[610,theory(equality)])).
% cnf(627,negated_conjecture,(esk49_0=nil|esk48_0=nil|~ssList(nil)|~ssList(esk48_0)),inference(spm,[status(thm)],[593,108,theory(equality)])).
% cnf(628,negated_conjecture,(esk49_0=nil|esk48_0=nil|$false|~ssList(esk48_0)),inference(rw,[status(thm)],[627,110,theory(equality)])).
% cnf(629,negated_conjecture,(esk49_0=nil|esk48_0=nil|$false|$false),inference(rw,[status(thm)],[628,573,theory(equality)])).
% cnf(630,negated_conjecture,(esk49_0=nil|esk48_0=nil),inference(cn,[status(thm)],[629,theory(equality)])).
% cnf(672,negated_conjecture,(esk48_0=esk49_0|~frontsegP(esk48_0,esk49_0)|~ssList(esk49_0)|~ssList(esk48_0)),inference(spm,[status(thm)],[118,589,theory(equality)])).
% cnf(674,negated_conjecture,(esk48_0=esk49_0|~frontsegP(esk48_0,esk49_0)|$false|~ssList(esk48_0)),inference(rw,[status(thm)],[672,574,theory(equality)])).
% cnf(675,negated_conjecture,(esk48_0=esk49_0|~frontsegP(esk48_0,esk49_0)|$false|$false),inference(rw,[status(thm)],[674,573,theory(equality)])).
% cnf(676,negated_conjecture,(esk48_0=esk49_0|~frontsegP(esk48_0,esk49_0)),inference(cn,[status(thm)],[675,theory(equality)])).
% cnf(685,plain,(ssList(esk15_2(X1,nil))|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[402,266,theory(equality)])).
% cnf(687,plain,(ssList(esk15_2(X1,nil))|$false|~ssList(X1)),inference(rw,[status(thm)],[685,110,theory(equality)])).
% cnf(688,plain,(ssList(esk15_2(X1,nil))|~ssList(X1)),inference(cn,[status(thm)],[687,theory(equality)])).
% cnf(789,plain,(cons(hd(X1),tl(app(X1,X2)))=app(X1,X2)|nil=app(X1,X2)|nil=X1|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[481,292,theory(equality)])).
% cnf(805,plain,(frontsegP(X1,cons(X2,nil))|cons(X2,X3)!=X1|~ssList(X3)|~ssList(cons(X2,nil))|~ssList(X1)|~ssItem(X2)),inference(spm,[status(thm)],[163,395,theory(equality)])).
% cnf(824,plain,(rearsegP(app(X1,X2),nil)|~ssList(X1)|~ssList(nil)|~ssList(X2)),inference(spm,[status(thm)],[373,266,theory(equality)])).
% cnf(826,plain,(rearsegP(app(X1,X2),nil)|~ssList(X1)|$false|~ssList(X2)),inference(rw,[status(thm)],[824,110,theory(equality)])).
% cnf(827,plain,(rearsegP(app(X1,X2),nil)|~ssList(X1)|~ssList(X2)),inference(cn,[status(thm)],[826,theory(equality)])).
% cnf(832,plain,(app(esk15_2(X1,nil),nil)=X1|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[401,266,theory(equality)])).
% cnf(834,plain,(app(esk15_2(X1,nil),nil)=X1|$false|~ssList(X1)),inference(rw,[status(thm)],[832,110,theory(equality)])).
% cnf(835,plain,(app(esk15_2(X1,nil),nil)=X1|~ssList(X1)),inference(cn,[status(thm)],[834,theory(equality)])).
% cnf(841,plain,(nil=app(X1,X2)|ssList(app(tl(X1),X2))|nil=X1|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[196,296,theory(equality)])).
% cnf(961,plain,(ssList(cons(X1,app(X2,X3)))|~ssList(X3)|~ssList(cons(X1,X2))|~ssItem(X1)|~ssList(X2)),inference(spm,[status(thm)],[256,324,theory(equality)])).
% cnf(1337,plain,(ssList(esk1_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[162,596,theory(equality)])).
% cnf(1338,plain,(app(nil,esk1_2(nil,nil))=nil|~ssList(nil)),inference(spm,[status(thm)],[161,596,theory(equality)])).
% cnf(1341,plain,(ssList(esk1_2(nil,nil))|$false),inference(rw,[status(thm)],[1337,110,theory(equality)])).
% cnf(1342,plain,(ssList(esk1_2(nil,nil))),inference(cn,[status(thm)],[1341,theory(equality)])).
% cnf(1343,plain,(app(nil,esk1_2(nil,nil))=nil|$false),inference(rw,[status(thm)],[1338,110,theory(equality)])).
% cnf(1344,plain,(app(nil,esk1_2(nil,nil))=nil),inference(cn,[status(thm)],[1343,theory(equality)])).
% cnf(1364,negated_conjecture,(nil=esk48_0|~frontsegP(esk48_0,nil)),inference(spm,[status(thm)],[676,630,theory(equality)])).
% cnf(1365,negated_conjecture,(esk48_0=nil|~ssList(esk48_0)),inference(spm,[status(thm)],[1364,124,theory(equality)])).
% cnf(1366,negated_conjecture,(esk48_0=nil|$false),inference(rw,[status(thm)],[1365,573,theory(equality)])).
% cnf(1367,negated_conjecture,(esk48_0=nil),inference(cn,[status(thm)],[1366,theory(equality)])).
% cnf(1373,negated_conjecture,(~neq(nil,nil)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[611,1367,theory(equality)]),1367,theory(equality)])).
% cnf(1374,negated_conjecture,(~equalelemsP(X1)|~segmentP(X1,nil)|~frontsegP(esk49_0,X1)|~neq(esk48_0,X1)|~ssList(X1)),inference(rw,[status(thm)],[606,1367,theory(equality)])).
% cnf(1375,negated_conjecture,(~equalelemsP(X1)|~segmentP(X1,nil)|~frontsegP(esk49_0,X1)|~neq(nil,X1)|~ssList(X1)),inference(rw,[status(thm)],[1374,1367,theory(equality)])).
% cnf(1381,negated_conjecture,(neq(esk49_0,nil)|$false),inference(rw,[status(thm)],[578,1367,theory(equality)])).
% cnf(1382,negated_conjecture,(neq(esk49_0,nil)),inference(cn,[status(thm)],[1381,theory(equality)])).
% cnf(1383,negated_conjecture,(frontsegP(esk49_0,nil)),inference(rw,[status(thm)],[589,1367,theory(equality)])).
% cnf(1399,negated_conjecture,(ssList(esk1_2(esk49_0,nil))|~ssList(nil)|~ssList(esk49_0)),inference(spm,[status(thm)],[162,1383,theory(equality)])).
% cnf(1401,negated_conjecture,(app(nil,esk1_2(esk49_0,nil))=esk49_0|~ssList(nil)|~ssList(esk49_0)),inference(spm,[status(thm)],[161,1383,theory(equality)])).
% cnf(1404,negated_conjecture,(ssList(esk1_2(esk49_0,nil))|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[1399,110,theory(equality)])).
% cnf(1405,negated_conjecture,(ssList(esk1_2(esk49_0,nil))|$false|$false),inference(rw,[status(thm)],[1404,574,theory(equality)])).
% cnf(1406,negated_conjecture,(ssList(esk1_2(esk49_0,nil))),inference(cn,[status(thm)],[1405,theory(equality)])).
% cnf(1410,negated_conjecture,(app(nil,esk1_2(esk49_0,nil))=esk49_0|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[1401,110,theory(equality)])).
% cnf(1411,negated_conjecture,(app(nil,esk1_2(esk49_0,nil))=esk49_0|$false|$false),inference(rw,[status(thm)],[1410,574,theory(equality)])).
% cnf(1412,negated_conjecture,(app(nil,esk1_2(esk49_0,nil))=esk49_0),inference(cn,[status(thm)],[1411,theory(equality)])).
% cnf(1426,plain,(nil=esk1_2(nil,nil)|~ssList(esk1_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[182,1344,theory(equality)])).
% cnf(1453,plain,(nil=esk1_2(nil,nil)|$false|~ssList(nil)),inference(rw,[status(thm)],[1426,1342,theory(equality)])).
% cnf(1454,plain,(nil=esk1_2(nil,nil)|$false|$false),inference(rw,[status(thm)],[1453,110,theory(equality)])).
% cnf(1455,plain,(nil=esk1_2(nil,nil)),inference(cn,[status(thm)],[1454,theory(equality)])).
% cnf(1467,plain,(app(nil,nil)=nil),inference(rw,[status(thm)],[1344,1455,theory(equality)])).
% cnf(1569,negated_conjecture,(esk49_0=esk1_2(esk49_0,nil)|~ssList(esk1_2(esk49_0,nil))),inference(spm,[status(thm)],[175,1412,theory(equality)])).
% cnf(1604,negated_conjecture,(esk49_0=esk1_2(esk49_0,nil)|$false),inference(rw,[status(thm)],[1569,1406,theory(equality)])).
% cnf(1605,negated_conjecture,(esk49_0=esk1_2(esk49_0,nil)),inference(cn,[status(thm)],[1604,theory(equality)])).
% cnf(1606,negated_conjecture,(app(nil,esk49_0)=esk49_0),inference(rw,[status(thm)],[1412,1605,theory(equality)])).
% cnf(1614,negated_conjecture,(segmentP(X1,esk49_0)|app(esk49_0,X2)!=X1|~ssList(X2)|~ssList(nil)|~ssList(esk49_0)|~ssList(X1)),inference(spm,[status(thm)],[172,1606,theory(equality)])).
% cnf(1638,negated_conjecture,(segmentP(X1,esk49_0)|app(esk49_0,X2)!=X1|~ssList(X2)|$false|~ssList(esk49_0)|~ssList(X1)),inference(rw,[status(thm)],[1614,110,theory(equality)])).
% cnf(1639,negated_conjecture,(segmentP(X1,esk49_0)|app(esk49_0,X2)!=X1|~ssList(X2)|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[1638,574,theory(equality)])).
% cnf(1640,negated_conjecture,(segmentP(X1,esk49_0)|app(esk49_0,X2)!=X1|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[1639,theory(equality)])).
% cnf(1746,negated_conjecture,(~equalelemsP(X1)|~frontsegP(esk49_0,X1)|~neq(nil,X1)|~ssList(X1)),inference(csr,[status(thm)],[1375,143])).
% cnf(2202,negated_conjecture,(segmentP(X1,esk49_0)|esk49_0!=X1|~ssList(nil)|~ssList(X1)|~ssList(esk49_0)),inference(spm,[status(thm)],[1640,185,theory(equality)])).
% cnf(2203,negated_conjecture,(segmentP(X1,esk49_0)|esk49_0!=X1|$false|~ssList(X1)|~ssList(esk49_0)),inference(rw,[status(thm)],[2202,110,theory(equality)])).
% cnf(2204,negated_conjecture,(segmentP(X1,esk49_0)|esk49_0!=X1|$false|~ssList(X1)|$false),inference(rw,[status(thm)],[2203,574,theory(equality)])).
% cnf(2205,negated_conjecture,(segmentP(X1,esk49_0)|esk49_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[2204,theory(equality)])).
% cnf(2206,negated_conjecture,(segmentP(esk49_0,esk49_0)|~ssList(esk49_0)),inference(er,[status(thm)],[2205,theory(equality)])).
% cnf(2207,negated_conjecture,(segmentP(esk49_0,esk49_0)|$false),inference(rw,[status(thm)],[2206,574,theory(equality)])).
% cnf(2208,negated_conjecture,(segmentP(esk49_0,esk49_0)),inference(cn,[status(thm)],[2207,theory(equality)])).
% cnf(2210,negated_conjecture,(ssList(esk2_2(esk49_0,esk49_0))|~ssList(esk49_0)),inference(spm,[status(thm)],[171,2208,theory(equality)])).
% cnf(2211,negated_conjecture,(ssList(esk3_2(esk49_0,esk49_0))|~ssList(esk49_0)),inference(spm,[status(thm)],[170,2208,theory(equality)])).
% cnf(2212,negated_conjecture,(app(app(esk2_2(esk49_0,esk49_0),esk49_0),esk3_2(esk49_0,esk49_0))=esk49_0|~ssList(esk49_0)),inference(spm,[status(thm)],[169,2208,theory(equality)])).
% cnf(2215,negated_conjecture,(ssList(esk2_2(esk49_0,esk49_0))|$false),inference(rw,[status(thm)],[2210,574,theory(equality)])).
% cnf(2216,negated_conjecture,(ssList(esk2_2(esk49_0,esk49_0))),inference(cn,[status(thm)],[2215,theory(equality)])).
% cnf(2217,negated_conjecture,(ssList(esk3_2(esk49_0,esk49_0))|$false),inference(rw,[status(thm)],[2211,574,theory(equality)])).
% cnf(2218,negated_conjecture,(ssList(esk3_2(esk49_0,esk49_0))),inference(cn,[status(thm)],[2217,theory(equality)])).
% cnf(2219,negated_conjecture,(app(app(esk2_2(esk49_0,esk49_0),esk49_0),esk3_2(esk49_0,esk49_0))=esk49_0|$false),inference(rw,[status(thm)],[2212,574,theory(equality)])).
% cnf(2220,negated_conjecture,(app(app(esk2_2(esk49_0,esk49_0),esk49_0),esk3_2(esk49_0,esk49_0))=esk49_0),inference(cn,[status(thm)],[2219,theory(equality)])).
% cnf(2242,negated_conjecture,(esk49_0=app(esk2_2(esk49_0,esk49_0),app(esk49_0,esk3_2(esk49_0,esk49_0)))|~ssList(esk3_2(esk49_0,esk49_0))|~ssList(esk49_0)|~ssList(esk2_2(esk49_0,esk49_0))),inference(spm,[status(thm)],[240,2220,theory(equality)])).
% cnf(2280,negated_conjecture,(esk49_0=app(esk2_2(esk49_0,esk49_0),app(esk49_0,esk3_2(esk49_0,esk49_0)))|$false|~ssList(esk49_0)|~ssList(esk2_2(esk49_0,esk49_0))),inference(rw,[status(thm)],[2242,2218,theory(equality)])).
% cnf(2281,negated_conjecture,(esk49_0=app(esk2_2(esk49_0,esk49_0),app(esk49_0,esk3_2(esk49_0,esk49_0)))|$false|$false|~ssList(esk2_2(esk49_0,esk49_0))),inference(rw,[status(thm)],[2280,574,theory(equality)])).
% cnf(2282,negated_conjecture,(esk49_0=app(esk2_2(esk49_0,esk49_0),app(esk49_0,esk3_2(esk49_0,esk49_0)))|$false|$false|$false),inference(rw,[status(thm)],[2281,2216,theory(equality)])).
% cnf(2283,negated_conjecture,(esk49_0=app(esk2_2(esk49_0,esk49_0),app(esk49_0,esk3_2(esk49_0,esk49_0)))),inference(cn,[status(thm)],[2282,theory(equality)])).
% cnf(2403,plain,(frontsegP(X1,esk15_2(X2,nil))|X2!=X1|~ssList(nil)|~ssList(esk15_2(X2,nil))|~ssList(X1)|~ssList(X2)),inference(spm,[status(thm)],[163,835,theory(equality)])).
% cnf(2429,plain,(frontsegP(X1,esk15_2(X2,nil))|X2!=X1|$false|~ssList(esk15_2(X2,nil))|~ssList(X1)|~ssList(X2)),inference(rw,[status(thm)],[2403,110,theory(equality)])).
% cnf(2430,plain,(frontsegP(X1,esk15_2(X2,nil))|X2!=X1|~ssList(esk15_2(X2,nil))|~ssList(X1)|~ssList(X2)),inference(cn,[status(thm)],[2429,theory(equality)])).
% cnf(2431,plain,(frontsegP(X1,esk15_2(X1,nil))|~ssList(esk15_2(X1,nil))|~ssList(X1)),inference(er,[status(thm)],[2430,theory(equality)])).
% cnf(2480,negated_conjecture,(frontsegP(X1,esk2_2(esk49_0,esk49_0))|esk49_0!=X1|~ssList(app(esk49_0,esk3_2(esk49_0,esk49_0)))|~ssList(esk2_2(esk49_0,esk49_0))|~ssList(X1)),inference(spm,[status(thm)],[163,2283,theory(equality)])).
% cnf(2506,negated_conjecture,(frontsegP(X1,esk2_2(esk49_0,esk49_0))|esk49_0!=X1|~ssList(app(esk49_0,esk3_2(esk49_0,esk49_0)))|$false|~ssList(X1)),inference(rw,[status(thm)],[2480,2216,theory(equality)])).
% cnf(2507,negated_conjecture,(frontsegP(X1,esk2_2(esk49_0,esk49_0))|esk49_0!=X1|~ssList(app(esk49_0,esk3_2(esk49_0,esk49_0)))|~ssList(X1)),inference(cn,[status(thm)],[2506,theory(equality)])).
% cnf(2526,negated_conjecture,(frontsegP(X1,esk2_2(esk49_0,esk49_0))|esk49_0!=X1|~ssList(X1)|~ssList(esk3_2(esk49_0,esk49_0))|~ssList(esk49_0)),inference(spm,[status(thm)],[2507,256,theory(equality)])).
% cnf(2527,negated_conjecture,(frontsegP(X1,esk2_2(esk49_0,esk49_0))|esk49_0!=X1|~ssList(X1)|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[2526,2218,theory(equality)])).
% cnf(2528,negated_conjecture,(frontsegP(X1,esk2_2(esk49_0,esk49_0))|esk49_0!=X1|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[2527,574,theory(equality)])).
% cnf(2529,negated_conjecture,(frontsegP(X1,esk2_2(esk49_0,esk49_0))|esk49_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[2528,theory(equality)])).
% cnf(2531,negated_conjecture,(frontsegP(esk49_0,esk2_2(esk49_0,esk49_0))|~ssList(esk49_0)),inference(er,[status(thm)],[2529,theory(equality)])).
% cnf(2532,negated_conjecture,(frontsegP(esk49_0,esk2_2(esk49_0,esk49_0))|$false),inference(rw,[status(thm)],[2531,574,theory(equality)])).
% cnf(2533,negated_conjecture,(frontsegP(esk49_0,esk2_2(esk49_0,esk49_0))),inference(cn,[status(thm)],[2532,theory(equality)])).
% cnf(2534,negated_conjecture,(ssList(esk1_2(esk49_0,esk2_2(esk49_0,esk49_0)))|~ssList(esk2_2(esk49_0,esk49_0))|~ssList(esk49_0)),inference(spm,[status(thm)],[162,2533,theory(equality)])).
% cnf(2536,negated_conjecture,(app(esk2_2(esk49_0,esk49_0),esk1_2(esk49_0,esk2_2(esk49_0,esk49_0)))=esk49_0|~ssList(esk2_2(esk49_0,esk49_0))|~ssList(esk49_0)),inference(spm,[status(thm)],[161,2533,theory(equality)])).
% cnf(2540,negated_conjecture,(ssList(esk1_2(esk49_0,esk2_2(esk49_0,esk49_0)))|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[2534,2216,theory(equality)])).
% cnf(2541,negated_conjecture,(ssList(esk1_2(esk49_0,esk2_2(esk49_0,esk49_0)))|$false|$false),inference(rw,[status(thm)],[2540,574,theory(equality)])).
% cnf(2542,negated_conjecture,(ssList(esk1_2(esk49_0,esk2_2(esk49_0,esk49_0)))),inference(cn,[status(thm)],[2541,theory(equality)])).
% cnf(2546,negated_conjecture,(app(esk2_2(esk49_0,esk49_0),esk1_2(esk49_0,esk2_2(esk49_0,esk49_0)))=esk49_0|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[2536,2216,theory(equality)])).
% cnf(2547,negated_conjecture,(app(esk2_2(esk49_0,esk49_0),esk1_2(esk49_0,esk2_2(esk49_0,esk49_0)))=esk49_0|$false|$false),inference(rw,[status(thm)],[2546,574,theory(equality)])).
% cnf(2548,negated_conjecture,(app(esk2_2(esk49_0,esk49_0),esk1_2(esk49_0,esk2_2(esk49_0,esk49_0)))=esk49_0),inference(cn,[status(thm)],[2547,theory(equality)])).
% cnf(3006,plain,(frontsegP(X1,esk15_2(X1,nil))|~ssList(X1)),inference(csr,[status(thm)],[2431,688])).
% cnf(3862,negated_conjecture,(rearsegP(esk49_0,nil)|~ssList(esk2_2(esk49_0,esk49_0))|~ssList(esk1_2(esk49_0,esk2_2(esk49_0,esk49_0)))),inference(spm,[status(thm)],[827,2548,theory(equality)])).
% cnf(3902,negated_conjecture,(rearsegP(esk49_0,nil)|$false|~ssList(esk1_2(esk49_0,esk2_2(esk49_0,esk49_0)))),inference(rw,[status(thm)],[3862,2216,theory(equality)])).
% cnf(3903,negated_conjecture,(rearsegP(esk49_0,nil)|$false|$false),inference(rw,[status(thm)],[3902,2542,theory(equality)])).
% cnf(3904,negated_conjecture,(rearsegP(esk49_0,nil)),inference(cn,[status(thm)],[3903,theory(equality)])).
% cnf(3931,negated_conjecture,(ssList(esk15_2(esk49_0,nil))|~ssList(nil)|~ssList(esk49_0)),inference(spm,[status(thm)],[402,3904,theory(equality)])).
% cnf(3932,negated_conjecture,(app(esk15_2(esk49_0,nil),nil)=esk49_0|~ssList(nil)|~ssList(esk49_0)),inference(spm,[status(thm)],[401,3904,theory(equality)])).
% cnf(3937,negated_conjecture,(ssList(esk15_2(esk49_0,nil))|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[3931,110,theory(equality)])).
% cnf(3938,negated_conjecture,(ssList(esk15_2(esk49_0,nil))|$false|$false),inference(rw,[status(thm)],[3937,574,theory(equality)])).
% cnf(3939,negated_conjecture,(ssList(esk15_2(esk49_0,nil))),inference(cn,[status(thm)],[3938,theory(equality)])).
% cnf(3940,negated_conjecture,(app(esk15_2(esk49_0,nil),nil)=esk49_0|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[3932,110,theory(equality)])).
% cnf(3941,negated_conjecture,(app(esk15_2(esk49_0,nil),nil)=esk49_0|$false|$false),inference(rw,[status(thm)],[3940,574,theory(equality)])).
% cnf(3942,negated_conjecture,(app(esk15_2(esk49_0,nil),nil)=esk49_0),inference(cn,[status(thm)],[3941,theory(equality)])).
% cnf(3979,negated_conjecture,(esk49_0=esk15_2(esk49_0,nil)|~ssList(esk15_2(esk49_0,nil))),inference(spm,[status(thm)],[185,3942,theory(equality)])).
% cnf(4039,negated_conjecture,(esk49_0=esk15_2(esk49_0,nil)|$false),inference(rw,[status(thm)],[3979,3939,theory(equality)])).
% cnf(4040,negated_conjecture,(esk49_0=esk15_2(esk49_0,nil)),inference(cn,[status(thm)],[4039,theory(equality)])).
% cnf(4054,negated_conjecture,(frontsegP(esk49_0,esk49_0)|~ssList(esk49_0)),inference(spm,[status(thm)],[3006,4040,theory(equality)])).
% cnf(4055,negated_conjecture,(app(esk49_0,nil)=esk49_0),inference(rw,[status(thm)],[3942,4040,theory(equality)])).
% cnf(4062,negated_conjecture,(frontsegP(esk49_0,esk49_0)|$false),inference(rw,[status(thm)],[4054,574,theory(equality)])).
% cnf(4063,negated_conjecture,(frontsegP(esk49_0,esk49_0)),inference(cn,[status(thm)],[4062,theory(equality)])).
% cnf(4066,negated_conjecture,(frontsegP(app(esk49_0,X1),esk49_0)|~ssList(X1)|~ssList(esk49_0)),inference(spm,[status(thm)],[189,4063,theory(equality)])).
% cnf(4075,negated_conjecture,(frontsegP(app(esk49_0,X1),esk49_0)|~ssList(X1)|$false),inference(rw,[status(thm)],[4066,574,theory(equality)])).
% cnf(4076,negated_conjecture,(frontsegP(app(esk49_0,X1),esk49_0)|~ssList(X1)),inference(cn,[status(thm)],[4075,theory(equality)])).
% cnf(4086,negated_conjecture,(tl(esk49_0)=app(tl(esk49_0),nil)|nil=esk49_0|~ssList(nil)|~ssList(esk49_0)),inference(spm,[status(thm)],[296,4055,theory(equality)])).
% cnf(4087,negated_conjecture,(app(esk49_0,X1)=app(esk49_0,app(nil,X1))|~ssList(X1)|~ssList(nil)|~ssList(esk49_0)),inference(spm,[status(thm)],[240,4055,theory(equality)])).
% cnf(4127,negated_conjecture,(tl(esk49_0)=app(tl(esk49_0),nil)|nil=esk49_0|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[4086,110,theory(equality)])).
% cnf(4128,negated_conjecture,(tl(esk49_0)=app(tl(esk49_0),nil)|nil=esk49_0|$false|$false),inference(rw,[status(thm)],[4127,574,theory(equality)])).
% cnf(4129,negated_conjecture,(tl(esk49_0)=app(tl(esk49_0),nil)|nil=esk49_0),inference(cn,[status(thm)],[4128,theory(equality)])).
% cnf(4130,negated_conjecture,(app(esk49_0,X1)=app(esk49_0,app(nil,X1))|~ssList(X1)|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[4087,110,theory(equality)])).
% cnf(4131,negated_conjecture,(app(esk49_0,X1)=app(esk49_0,app(nil,X1))|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[4130,574,theory(equality)])).
% cnf(4132,negated_conjecture,(app(esk49_0,X1)=app(esk49_0,app(nil,X1))|~ssList(X1)),inference(cn,[status(thm)],[4131,theory(equality)])).
% cnf(4356,negated_conjecture,(frontsegP(X1,esk49_0)|~frontsegP(X1,app(esk49_0,X2))|~ssList(esk49_0)|~ssList(app(esk49_0,X2))|~ssList(X1)|~ssList(X2)),inference(spm,[status(thm)],[114,4076,theory(equality)])).
% cnf(4369,negated_conjecture,(frontsegP(X1,esk49_0)|~frontsegP(X1,app(esk49_0,X2))|$false|~ssList(app(esk49_0,X2))|~ssList(X1)|~ssList(X2)),inference(rw,[status(thm)],[4356,574,theory(equality)])).
% cnf(4370,negated_conjecture,(frontsegP(X1,esk49_0)|~frontsegP(X1,app(esk49_0,X2))|~ssList(app(esk49_0,X2))|~ssList(X1)|~ssList(X2)),inference(cn,[status(thm)],[4369,theory(equality)])).
% cnf(4741,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)],[789,256])).
% cnf(4742,plain,(cons(hd(X1),tl(app(X1,X2)))=app(X1,X2)|nil=X1|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[4741,181])).
% cnf(4777,negated_conjecture,(cons(hd(esk49_0),tl(esk49_0))=esk49_0|nil=esk49_0|~ssList(nil)|~ssList(esk49_0)),inference(spm,[status(thm)],[4742,4055,theory(equality)])).
% cnf(4804,negated_conjecture,(cons(hd(esk49_0),tl(esk49_0))=esk49_0|nil=esk49_0|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[4777,110,theory(equality)])).
% cnf(4805,negated_conjecture,(cons(hd(esk49_0),tl(esk49_0))=esk49_0|nil=esk49_0|$false|$false),inference(rw,[status(thm)],[4804,574,theory(equality)])).
% cnf(4806,negated_conjecture,(cons(hd(esk49_0),tl(esk49_0))=esk49_0|nil=esk49_0),inference(cn,[status(thm)],[4805,theory(equality)])).
% cnf(5534,negated_conjecture,(frontsegP(X1,esk49_0)|~frontsegP(X1,app(esk49_0,X2))|~ssList(X1)|~ssList(X2)|~ssList(esk49_0)),inference(spm,[status(thm)],[4370,256,theory(equality)])).
% cnf(5547,negated_conjecture,(frontsegP(X1,esk49_0)|~frontsegP(X1,app(esk49_0,X2))|~ssList(X1)|~ssList(X2)|$false),inference(rw,[status(thm)],[5534,574,theory(equality)])).
% cnf(5548,negated_conjecture,(frontsegP(X1,esk49_0)|~frontsegP(X1,app(esk49_0,X2))|~ssList(X1)|~ssList(X2)),inference(cn,[status(thm)],[5547,theory(equality)])).
% cnf(5612,negated_conjecture,(ssList(app(esk49_0,X1))|~ssList(app(nil,X1))|~ssList(esk49_0)|~ssList(X1)),inference(spm,[status(thm)],[256,4132,theory(equality)])).
% cnf(5621,negated_conjecture,(rearsegP(app(esk49_0,X1),nil)|~ssList(esk49_0)|~ssList(app(nil,X1))|~ssList(X1)),inference(spm,[status(thm)],[827,4132,theory(equality)])).
% cnf(5652,negated_conjecture,(ssList(app(esk49_0,X1))|~ssList(app(nil,X1))|$false|~ssList(X1)),inference(rw,[status(thm)],[5612,574,theory(equality)])).
% cnf(5653,negated_conjecture,(ssList(app(esk49_0,X1))|~ssList(app(nil,X1))|~ssList(X1)),inference(cn,[status(thm)],[5652,theory(equality)])).
% cnf(5670,negated_conjecture,(rearsegP(app(esk49_0,X1),nil)|$false|~ssList(app(nil,X1))|~ssList(X1)),inference(rw,[status(thm)],[5621,574,theory(equality)])).
% cnf(5671,negated_conjecture,(rearsegP(app(esk49_0,X1),nil)|~ssList(app(nil,X1))|~ssList(X1)),inference(cn,[status(thm)],[5670,theory(equality)])).
% cnf(5783,negated_conjecture,(frontsegP(X1,cons(hd(esk49_0),nil))|esk49_0=nil|esk49_0!=X1|~ssItem(hd(esk49_0))|~ssList(cons(hd(esk49_0),nil))|~ssList(tl(esk49_0))|~ssList(X1)),inference(spm,[status(thm)],[805,4806,theory(equality)])).
% cnf(5796,negated_conjecture,(ssList(app(esk49_0,esk49_0))|~ssList(esk49_0)),inference(spm,[status(thm)],[5653,1606,theory(equality)])).
% cnf(5811,negated_conjecture,(ssList(app(esk49_0,esk49_0))|$false),inference(rw,[status(thm)],[5796,574,theory(equality)])).
% cnf(5812,negated_conjecture,(ssList(app(esk49_0,esk49_0))),inference(cn,[status(thm)],[5811,theory(equality)])).
% cnf(6323,negated_conjecture,(rearsegP(app(esk49_0,esk49_0),nil)|~ssList(esk49_0)),inference(spm,[status(thm)],[5671,1606,theory(equality)])).
% cnf(6339,negated_conjecture,(rearsegP(app(esk49_0,esk49_0),nil)|$false),inference(rw,[status(thm)],[6323,574,theory(equality)])).
% cnf(6340,negated_conjecture,(rearsegP(app(esk49_0,esk49_0),nil)),inference(cn,[status(thm)],[6339,theory(equality)])).
% cnf(6351,negated_conjecture,(ssList(esk15_2(app(esk49_0,esk49_0),nil))|~ssList(nil)|~ssList(app(esk49_0,esk49_0))),inference(spm,[status(thm)],[402,6340,theory(equality)])).
% cnf(6352,negated_conjecture,(app(esk15_2(app(esk49_0,esk49_0),nil),nil)=app(esk49_0,esk49_0)|~ssList(nil)|~ssList(app(esk49_0,esk49_0))),inference(spm,[status(thm)],[401,6340,theory(equality)])).
% cnf(6356,negated_conjecture,(ssList(esk15_2(app(esk49_0,esk49_0),nil))|$false|~ssList(app(esk49_0,esk49_0))),inference(rw,[status(thm)],[6351,110,theory(equality)])).
% cnf(6357,negated_conjecture,(ssList(esk15_2(app(esk49_0,esk49_0),nil))|$false|$false),inference(rw,[status(thm)],[6356,5812,theory(equality)])).
% cnf(6358,negated_conjecture,(ssList(esk15_2(app(esk49_0,esk49_0),nil))),inference(cn,[status(thm)],[6357,theory(equality)])).
% cnf(6359,negated_conjecture,(app(esk15_2(app(esk49_0,esk49_0),nil),nil)=app(esk49_0,esk49_0)|$false|~ssList(app(esk49_0,esk49_0))),inference(rw,[status(thm)],[6352,110,theory(equality)])).
% cnf(6360,negated_conjecture,(app(esk15_2(app(esk49_0,esk49_0),nil),nil)=app(esk49_0,esk49_0)|$false|$false),inference(rw,[status(thm)],[6359,5812,theory(equality)])).
% cnf(6361,negated_conjecture,(app(esk15_2(app(esk49_0,esk49_0),nil),nil)=app(esk49_0,esk49_0)),inference(cn,[status(thm)],[6360,theory(equality)])).
% cnf(6395,negated_conjecture,(app(esk49_0,esk49_0)=esk15_2(app(esk49_0,esk49_0),nil)|~ssList(esk15_2(app(esk49_0,esk49_0),nil))),inference(spm,[status(thm)],[185,6361,theory(equality)])).
% cnf(6464,negated_conjecture,(app(esk49_0,esk49_0)=esk15_2(app(esk49_0,esk49_0),nil)|$false),inference(rw,[status(thm)],[6395,6358,theory(equality)])).
% cnf(6465,negated_conjecture,(app(esk49_0,esk49_0)=esk15_2(app(esk49_0,esk49_0),nil)),inference(cn,[status(thm)],[6464,theory(equality)])).
% cnf(6627,negated_conjecture,(frontsegP(app(esk49_0,esk49_0),app(esk49_0,esk49_0))|~ssList(app(esk49_0,esk49_0))),inference(spm,[status(thm)],[3006,6465,theory(equality)])).
% cnf(6637,negated_conjecture,(frontsegP(app(esk49_0,esk49_0),app(esk49_0,esk49_0))|$false),inference(rw,[status(thm)],[6627,5812,theory(equality)])).
% cnf(6638,negated_conjecture,(frontsegP(app(esk49_0,esk49_0),app(esk49_0,esk49_0))),inference(cn,[status(thm)],[6637,theory(equality)])).
% cnf(6733,negated_conjecture,(frontsegP(app(esk49_0,esk49_0),esk49_0)|~ssList(app(esk49_0,esk49_0))|~ssList(esk49_0)),inference(spm,[status(thm)],[5548,6638,theory(equality)])).
% cnf(6742,negated_conjecture,(frontsegP(app(esk49_0,esk49_0),esk49_0)|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[6733,5812,theory(equality)])).
% cnf(6743,negated_conjecture,(frontsegP(app(esk49_0,esk49_0),esk49_0)|$false|$false),inference(rw,[status(thm)],[6742,574,theory(equality)])).
% cnf(6744,negated_conjecture,(frontsegP(app(esk49_0,esk49_0),esk49_0)),inference(cn,[status(thm)],[6743,theory(equality)])).
% cnf(6745,negated_conjecture,(ssList(esk1_2(app(esk49_0,esk49_0),esk49_0))|~ssList(esk49_0)|~ssList(app(esk49_0,esk49_0))),inference(spm,[status(thm)],[162,6744,theory(equality)])).
% cnf(6747,negated_conjecture,(app(esk49_0,esk1_2(app(esk49_0,esk49_0),esk49_0))=app(esk49_0,esk49_0)|~ssList(esk49_0)|~ssList(app(esk49_0,esk49_0))),inference(spm,[status(thm)],[161,6744,theory(equality)])).
% cnf(6752,negated_conjecture,(ssList(esk1_2(app(esk49_0,esk49_0),esk49_0))|$false|~ssList(app(esk49_0,esk49_0))),inference(rw,[status(thm)],[6745,574,theory(equality)])).
% cnf(6753,negated_conjecture,(ssList(esk1_2(app(esk49_0,esk49_0),esk49_0))|$false|$false),inference(rw,[status(thm)],[6752,5812,theory(equality)])).
% cnf(6754,negated_conjecture,(ssList(esk1_2(app(esk49_0,esk49_0),esk49_0))),inference(cn,[status(thm)],[6753,theory(equality)])).
% cnf(6758,negated_conjecture,(app(esk49_0,esk1_2(app(esk49_0,esk49_0),esk49_0))=app(esk49_0,esk49_0)|$false|~ssList(app(esk49_0,esk49_0))),inference(rw,[status(thm)],[6747,574,theory(equality)])).
% cnf(6759,negated_conjecture,(app(esk49_0,esk1_2(app(esk49_0,esk49_0),esk49_0))=app(esk49_0,esk49_0)|$false|$false),inference(rw,[status(thm)],[6758,5812,theory(equality)])).
% cnf(6760,negated_conjecture,(app(esk49_0,esk1_2(app(esk49_0,esk49_0),esk49_0))=app(esk49_0,esk49_0)),inference(cn,[status(thm)],[6759,theory(equality)])).
% cnf(6823,negated_conjecture,(nil=esk49_0|app(esk49_0,esk49_0)!=nil|~ssList(esk1_2(app(esk49_0,esk49_0),esk49_0))|~ssList(esk49_0)),inference(spm,[status(thm)],[181,6760,theory(equality)])).
% cnf(6825,negated_conjecture,(hd(app(esk49_0,esk49_0))=hd(esk49_0)|nil=esk49_0|~ssList(esk1_2(app(esk49_0,esk49_0),esk49_0))|~ssList(esk49_0)),inference(spm,[status(thm)],[292,6760,theory(equality)])).
% cnf(6866,negated_conjecture,(nil=esk49_0|app(esk49_0,esk49_0)!=nil|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[6823,6754,theory(equality)])).
% cnf(6867,negated_conjecture,(nil=esk49_0|app(esk49_0,esk49_0)!=nil|$false|$false),inference(rw,[status(thm)],[6866,574,theory(equality)])).
% cnf(6868,negated_conjecture,(nil=esk49_0|app(esk49_0,esk49_0)!=nil),inference(cn,[status(thm)],[6867,theory(equality)])).
% cnf(6873,negated_conjecture,(hd(app(esk49_0,esk49_0))=hd(esk49_0)|nil=esk49_0|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[6825,6754,theory(equality)])).
% cnf(6874,negated_conjecture,(hd(app(esk49_0,esk49_0))=hd(esk49_0)|nil=esk49_0|$false|$false),inference(rw,[status(thm)],[6873,574,theory(equality)])).
% cnf(6875,negated_conjecture,(hd(app(esk49_0,esk49_0))=hd(esk49_0)|nil=esk49_0),inference(cn,[status(thm)],[6874,theory(equality)])).
% cnf(7278,negated_conjecture,(nil=app(esk49_0,esk49_0)|ssItem(hd(esk49_0))|esk49_0=nil|~ssList(app(esk49_0,esk49_0))),inference(spm,[status(thm)],[252,6875,theory(equality)])).
% cnf(7284,negated_conjecture,(nil=app(esk49_0,esk49_0)|ssItem(hd(esk49_0))|esk49_0=nil|$false),inference(rw,[status(thm)],[7278,5812,theory(equality)])).
% cnf(7285,negated_conjecture,(nil=app(esk49_0,esk49_0)|ssItem(hd(esk49_0))|esk49_0=nil),inference(cn,[status(thm)],[7284,theory(equality)])).
% cnf(7669,negated_conjecture,(esk49_0=nil|ssItem(hd(esk49_0))),inference(csr,[status(thm)],[7285,6868])).
% cnf(8329,plain,(app(X1,X2)=nil|nil=X1|ssList(app(tl(X1),X2))|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[841,256])).
% cnf(8330,plain,(nil=X1|ssList(app(tl(X1),X2))|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[8329,181])).
% cnf(8336,negated_conjecture,(nil=esk49_0|ssList(tl(esk49_0))|~ssList(nil)|~ssList(esk49_0)),inference(spm,[status(thm)],[8330,4129,theory(equality)])).
% cnf(8339,negated_conjecture,(nil=esk49_0|ssList(tl(esk49_0))|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[8336,110,theory(equality)])).
% cnf(8340,negated_conjecture,(nil=esk49_0|ssList(tl(esk49_0))|$false|$false),inference(rw,[status(thm)],[8339,574,theory(equality)])).
% cnf(8341,negated_conjecture,(nil=esk49_0|ssList(tl(esk49_0))),inference(cn,[status(thm)],[8340,theory(equality)])).
% cnf(20664,plain,(ssList(cons(X1,app(X2,X3)))|~ssItem(X1)|~ssList(X2)|~ssList(X3)),inference(csr,[status(thm)],[961,249])).
% cnf(20718,plain,(ssList(cons(X1,nil))|~ssItem(X1)|~ssList(nil)),inference(spm,[status(thm)],[20664,1467,theory(equality)])).
% cnf(20836,plain,(ssList(cons(X1,nil))|~ssItem(X1)|$false),inference(rw,[status(thm)],[20718,110,theory(equality)])).
% cnf(20837,plain,(ssList(cons(X1,nil))|~ssItem(X1)),inference(cn,[status(thm)],[20836,theory(equality)])).
% cnf(173255,negated_conjecture,(esk49_0=nil|frontsegP(X1,cons(hd(esk49_0),nil))|esk49_0!=X1|~ssItem(hd(esk49_0))|~ssList(cons(hd(esk49_0),nil))|~ssList(X1)),inference(csr,[status(thm)],[5783,8341])).
% cnf(173256,negated_conjecture,(esk49_0=nil|frontsegP(X1,cons(hd(esk49_0),nil))|esk49_0!=X1|~ssItem(hd(esk49_0))|~ssList(X1)),inference(csr,[status(thm)],[173255,20837])).
% cnf(173257,negated_conjecture,(esk49_0=nil|frontsegP(X1,cons(hd(esk49_0),nil))|esk49_0!=X1|~ssList(X1)),inference(csr,[status(thm)],[173256,7669])).
% cnf(173258,negated_conjecture,(esk49_0=nil|frontsegP(esk49_0,cons(hd(esk49_0),nil))|~ssList(esk49_0)),inference(er,[status(thm)],[173257,theory(equality)])).
% cnf(173259,negated_conjecture,(esk49_0=nil|frontsegP(esk49_0,cons(hd(esk49_0),nil))|$false),inference(rw,[status(thm)],[173258,574,theory(equality)])).
% cnf(173260,negated_conjecture,(esk49_0=nil|frontsegP(esk49_0,cons(hd(esk49_0),nil))),inference(cn,[status(thm)],[173259,theory(equality)])).
% cnf(173273,negated_conjecture,(esk49_0=nil|~equalelemsP(cons(hd(esk49_0),nil))|~neq(nil,cons(hd(esk49_0),nil))|~ssList(cons(hd(esk49_0),nil))),inference(spm,[status(thm)],[1746,173260,theory(equality)])).
% cnf(243669,negated_conjecture,(esk49_0=nil|~neq(nil,cons(hd(esk49_0),nil))|~ssList(cons(hd(esk49_0),nil))|~ssItem(hd(esk49_0))),inference(spm,[status(thm)],[173273,217,theory(equality)])).
% cnf(243670,negated_conjecture,(esk49_0=nil|~neq(nil,cons(hd(esk49_0),nil))|~ssList(cons(hd(esk49_0),nil))),inference(csr,[status(thm)],[243669,7669])).
% cnf(243671,negated_conjecture,(esk49_0=nil|~neq(nil,cons(hd(esk49_0),nil))|~ssItem(hd(esk49_0))|~ssList(nil)),inference(spm,[status(thm)],[243670,249,theory(equality)])).
% cnf(243673,negated_conjecture,(esk49_0=nil|~neq(nil,cons(hd(esk49_0),nil))|~ssItem(hd(esk49_0))|$false),inference(rw,[status(thm)],[243671,110,theory(equality)])).
% cnf(243674,negated_conjecture,(esk49_0=nil|~neq(nil,cons(hd(esk49_0),nil))|~ssItem(hd(esk49_0))),inference(cn,[status(thm)],[243673,theory(equality)])).
% cnf(243685,negated_conjecture,(esk49_0=nil|~neq(nil,cons(hd(esk49_0),nil))),inference(csr,[status(thm)],[243674,7669])).
% cnf(243686,negated_conjecture,(esk49_0=nil|nil=cons(hd(esk49_0),nil)|~ssList(cons(hd(esk49_0),nil))|~ssList(nil)),inference(spm,[status(thm)],[243685,108,theory(equality)])).
% cnf(243688,negated_conjecture,(esk49_0=nil|nil=cons(hd(esk49_0),nil)|~ssList(cons(hd(esk49_0),nil))|$false),inference(rw,[status(thm)],[243686,110,theory(equality)])).
% cnf(243689,negated_conjecture,(esk49_0=nil|nil=cons(hd(esk49_0),nil)|~ssList(cons(hd(esk49_0),nil))),inference(cn,[status(thm)],[243688,theory(equality)])).
% cnf(243690,negated_conjecture,(cons(hd(esk49_0),nil)=nil|esk49_0=nil|~ssItem(hd(esk49_0))|~ssList(nil)),inference(spm,[status(thm)],[243689,249,theory(equality)])).
% cnf(243692,negated_conjecture,(cons(hd(esk49_0),nil)=nil|esk49_0=nil|~ssItem(hd(esk49_0))|$false),inference(rw,[status(thm)],[243690,110,theory(equality)])).
% cnf(243693,negated_conjecture,(cons(hd(esk49_0),nil)=nil|esk49_0=nil|~ssItem(hd(esk49_0))),inference(cn,[status(thm)],[243692,theory(equality)])).
% cnf(243694,negated_conjecture,(cons(hd(esk49_0),nil)=nil|esk49_0=nil),inference(csr,[status(thm)],[243693,7669])).
% cnf(243698,negated_conjecture,(esk49_0=nil|~ssItem(hd(esk49_0))|~ssList(nil)),inference(spm,[status(thm)],[228,243694,theory(equality)])).
% cnf(244024,negated_conjecture,(esk49_0=nil|~ssItem(hd(esk49_0))|$false),inference(rw,[status(thm)],[243698,110,theory(equality)])).
% cnf(244025,negated_conjecture,(esk49_0=nil|~ssItem(hd(esk49_0))),inference(cn,[status(thm)],[244024,theory(equality)])).
% cnf(244623,negated_conjecture,(esk49_0=nil),inference(csr,[status(thm)],[244025,7669])).
% cnf(247297,negated_conjecture,(neq(nil,nil)),inference(rw,[status(thm)],[1382,244623,theory(equality)])).
% cnf(247298,negated_conjecture,($false),inference(sr,[status(thm)],[247297,1373,theory(equality)])).
% cnf(247299,negated_conjecture,($false),247298,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 13414
% # ...of these trivial : 59
% # ...subsumed : 10487
% # ...remaining for further processing: 2868
% # Other redundant clauses eliminated : 1085
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 115
% # Backward-rewritten : 1843
% # Generated clauses : 97418
% # ...of the previous two non-trivial : 84673
% # Contextual simplify-reflections : 7725
% # Paramodulations : 96022
% # Factorizations : 0
% # Equation resolutions : 1396
% # Current number of processed clauses: 904
% # Positive orientable unit clauses: 21
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 3
% # Non-unit-clauses : 880
% # Current number of unprocessed clauses: 19766
% # ...number of literals in the above : 170550
% # Clause-clause subsumption calls (NU) : 316889
% # Rec. Clause-clause subsumption calls : 162238
% # Unit Clause-clause subsumption calls : 3903
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 90
% # Indexed BW rewrite successes : 58
% # Backwards rewriting index: 721 leaves, 1.63+/-1.467 terms/leaf
% # Paramod-from index: 269 leaves, 1.03+/-0.159 terms/leaf
% # Paramod-into index: 460 leaves, 1.49+/-1.366 terms/leaf
% # -------------------------------------------------
% # User time : 4.850 s
% # System time : 0.130 s
% # Total time : 4.980 s
% # Maximum resident set size: 0 pages
% PrfWatch: 8.36 CPU 8.52 WC
% FINAL PrfWatch: 8.36 CPU 8.52 WC
% SZS output end Solution for /tmp/SystemOnTPTP29262/SWC099+1.tptp
%
%------------------------------------------------------------------------------