TSTP Solution File: SWC399+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC399+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 : art01.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 08:03:07 EST 2010
% Result : Theorem 3.67s
% Output : Solution 3.67s
% 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/SystemOnTPTP10772/SWC399+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP10772/SWC399+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP10772/SWC399+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 10868
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time : 0.032 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 1.94 CPU 2.02 WC
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>(memberP(X1,X2)<=>?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&app(X3,cons(X2,X4))=X1))))),file('/tmp/SRASS.s.p', ax3)).
% fof(4, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>ssList(cons(X2,X1)))),file('/tmp/SRASS.s.p', ax16)).
% fof(5, axiom,ssList(nil),file('/tmp/SRASS.s.p', ax17)).
% fof(10, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>ssList(app(X1,X2)))),file('/tmp/SRASS.s.p', ax26)).
% fof(13, axiom,![X1]:(ssItem(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>(memberP(app(X2,X3),X1)<=>(memberP(X2,X1)|memberP(X3,X1)))))),file('/tmp/SRASS.s.p', ax36)).
% fof(19, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>(app(X2,X3)=app(X2,X1)=>X3=X1)))),file('/tmp/SRASS.s.p', ax80)).
% fof(21, 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(22, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(nil=app(X1,X2)<=>(nil=X2&nil=X1)))),file('/tmp/SRASS.s.p', ax83)).
% fof(23, axiom,![X1]:(ssList(X1)=>app(X1,nil)=X1),file('/tmp/SRASS.s.p', ax84)).
% fof(39, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(frontsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X2,X3)=X1)))),file('/tmp/SRASS.s.p', ax5)).
% fof(40, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(rearsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X3,X2)=X1)))),file('/tmp/SRASS.s.p', ax6)).
% fof(43, axiom,![X1]:(ssList(X1)=>(frontsegP(nil,X1)<=>nil=X1)),file('/tmp/SRASS.s.p', ax46)).
% fof(44, axiom,![X1]:(ssList(X1)=>(rearsegP(nil,X1)<=>nil=X1)),file('/tmp/SRASS.s.p', ax52)).
% fof(52, 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(53, 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(57, axiom,![X1]:(ssList(X1)=>frontsegP(X1,nil)),file('/tmp/SRASS.s.p', ax45)).
% fof(64, axiom,![X1]:(ssList(X1)=>frontsegP(X1,X1)),file('/tmp/SRASS.s.p', ax42)).
% fof(96, conjecture,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(((((~(ssList(X4))|~(X2=X4))|~(X1=X3))|![X5]:(ssList(X5)=>![X6]:((((~(ssList(X6))|~(app(app(X5,X3),X6)=X4))|~(equalelemsP(X3)))|?[X7]:(ssItem(X7)&?[X8]:((ssList(X8)&app(X8,cons(X7,nil))=X5)&?[X9]:(ssList(X9)&app(cons(X7,nil),X9)=X3))))|?[X10]:(ssItem(X10)&?[X11]:((ssList(X11)&app(cons(X10,nil),X11)=X6)&?[X12]:(ssList(X12)&app(X12,cons(X10,nil))=X3))))))|![X13]:((~(ssItem(X13))|~(memberP(X1,X13)))|memberP(X2,X13)))|(~(nil=X4)&nil=X3))))),file('/tmp/SRASS.s.p', co1)).
% fof(97, negated_conjecture,~(![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(((((~(ssList(X4))|~(X2=X4))|~(X1=X3))|![X5]:(ssList(X5)=>![X6]:((((~(ssList(X6))|~(app(app(X5,X3),X6)=X4))|~(equalelemsP(X3)))|?[X7]:(ssItem(X7)&?[X8]:((ssList(X8)&app(X8,cons(X7,nil))=X5)&?[X9]:(ssList(X9)&app(cons(X7,nil),X9)=X3))))|?[X10]:(ssItem(X10)&?[X11]:((ssList(X11)&app(cons(X10,nil),X11)=X6)&?[X12]:(ssList(X12)&app(X12,cons(X10,nil))=X3))))))|![X13]:((~(ssItem(X13))|~(memberP(X1,X13)))|memberP(X2,X13)))|(~(nil=X4)&nil=X3)))))),inference(assume_negation,[status(cth)],[96])).
% fof(103, negated_conjecture,~(![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(((((~(ssList(X4))|~(X2=X4))|~(X1=X3))|![X5]:(ssList(X5)=>![X6]:((((~(ssList(X6))|~(app(app(X5,X3),X6)=X4))|~(equalelemsP(X3)))|?[X7]:(ssItem(X7)&?[X8]:((ssList(X8)&app(X8,cons(X7,nil))=X5)&?[X9]:(ssList(X9)&app(cons(X7,nil),X9)=X3))))|?[X10]:(ssItem(X10)&?[X11]:((ssList(X11)&app(cons(X10,nil),X11)=X6)&?[X12]:(ssList(X12)&app(X12,cons(X10,nil))=X3))))))|![X13]:((~(ssItem(X13))|~(memberP(X1,X13)))|memberP(X2,X13)))|(~(nil=X4)&nil=X3)))))),inference(fof_simplification,[status(thm)],[97,theory(equality)])).
% fof(109, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|((~(memberP(X1,X2))|?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&app(X3,cons(X2,X4))=X1)))&(![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|~(app(X3,cons(X2,X4))=X1)))|memberP(X1,X2))))),inference(fof_nnf,[status(thm)],[2])).
% fof(110, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssItem(X6))|((~(memberP(X5,X6))|?[X7]:(ssList(X7)&?[X8]:(ssList(X8)&app(X7,cons(X6,X8))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(X9,cons(X6,X10))=X5)))|memberP(X5,X6))))),inference(variable_rename,[status(thm)],[109])).
% fof(111, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssItem(X6))|((~(memberP(X5,X6))|(ssList(esk3_2(X5,X6))&(ssList(esk4_2(X5,X6))&app(esk3_2(X5,X6),cons(X6,esk4_2(X5,X6)))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(X9,cons(X6,X10))=X5)))|memberP(X5,X6))))),inference(skolemize,[status(esa)],[110])).
% fof(112, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(X9,cons(X6,X10))=X5))|~(ssList(X9)))|memberP(X5,X6))&(~(memberP(X5,X6))|(ssList(esk3_2(X5,X6))&(ssList(esk4_2(X5,X6))&app(esk3_2(X5,X6),cons(X6,esk4_2(X5,X6)))=X5))))|~(ssItem(X6)))|~(ssList(X5))),inference(shift_quantors,[status(thm)],[111])).
% fof(113, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(X9,cons(X6,X10))=X5))|~(ssList(X9)))|memberP(X5,X6))|~(ssItem(X6)))|~(ssList(X5)))&((((ssList(esk3_2(X5,X6))|~(memberP(X5,X6)))|~(ssItem(X6)))|~(ssList(X5)))&((((ssList(esk4_2(X5,X6))|~(memberP(X5,X6)))|~(ssItem(X6)))|~(ssList(X5)))&(((app(esk3_2(X5,X6),cons(X6,esk4_2(X5,X6)))=X5|~(memberP(X5,X6)))|~(ssItem(X6)))|~(ssList(X5)))))),inference(distribute,[status(thm)],[112])).
% cnf(114,plain,(app(esk3_2(X1,X2),cons(X2,esk4_2(X1,X2)))=X1|~ssList(X1)|~ssItem(X2)|~memberP(X1,X2)),inference(split_conjunct,[status(thm)],[113])).
% cnf(115,plain,(ssList(esk4_2(X1,X2))|~ssList(X1)|~ssItem(X2)|~memberP(X1,X2)),inference(split_conjunct,[status(thm)],[113])).
% cnf(116,plain,(ssList(esk3_2(X1,X2))|~ssList(X1)|~ssItem(X2)|~memberP(X1,X2)),inference(split_conjunct,[status(thm)],[113])).
% fof(130, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|ssList(cons(X2,X1)))),inference(fof_nnf,[status(thm)],[4])).
% fof(131, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|ssList(cons(X4,X3)))),inference(variable_rename,[status(thm)],[130])).
% fof(132, plain,![X3]:![X4]:((~(ssItem(X4))|ssList(cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[131])).
% cnf(133,plain,(ssList(cons(X2,X1))|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[132])).
% cnf(134,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[5])).
% fof(156, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|ssList(app(X1,X2)))),inference(fof_nnf,[status(thm)],[10])).
% fof(157, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|ssList(app(X3,X4)))),inference(variable_rename,[status(thm)],[156])).
% fof(158, plain,![X3]:![X4]:((~(ssList(X4))|ssList(app(X3,X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[157])).
% cnf(159,plain,(ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[158])).
% fof(167, plain,![X1]:(~(ssItem(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|((~(memberP(app(X2,X3),X1))|(memberP(X2,X1)|memberP(X3,X1)))&((~(memberP(X2,X1))&~(memberP(X3,X1)))|memberP(app(X2,X3),X1)))))),inference(fof_nnf,[status(thm)],[13])).
% fof(168, plain,![X4]:(~(ssItem(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|((~(memberP(app(X5,X6),X4))|(memberP(X5,X4)|memberP(X6,X4)))&((~(memberP(X5,X4))&~(memberP(X6,X4)))|memberP(app(X5,X6),X4)))))),inference(variable_rename,[status(thm)],[167])).
% fof(169, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|((~(memberP(app(X5,X6),X4))|(memberP(X5,X4)|memberP(X6,X4)))&((~(memberP(X5,X4))&~(memberP(X6,X4)))|memberP(app(X5,X6),X4))))|~(ssList(X5)))|~(ssItem(X4))),inference(shift_quantors,[status(thm)],[168])).
% fof(170, plain,![X4]:![X5]:![X6]:(((((~(memberP(app(X5,X6),X4))|(memberP(X5,X4)|memberP(X6,X4)))|~(ssList(X6)))|~(ssList(X5)))|~(ssItem(X4)))&(((((~(memberP(X5,X4))|memberP(app(X5,X6),X4))|~(ssList(X6)))|~(ssList(X5)))|~(ssItem(X4)))&((((~(memberP(X6,X4))|memberP(app(X5,X6),X4))|~(ssList(X6)))|~(ssList(X5)))|~(ssItem(X4))))),inference(distribute,[status(thm)],[169])).
% cnf(171,plain,(memberP(app(X2,X3),X1)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|~memberP(X3,X1)),inference(split_conjunct,[status(thm)],[170])).
% cnf(172,plain,(memberP(app(X2,X3),X1)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|~memberP(X2,X1)),inference(split_conjunct,[status(thm)],[170])).
% cnf(173,plain,(memberP(X3,X1)|memberP(X2,X1)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|~memberP(app(X2,X3),X1)),inference(split_conjunct,[status(thm)],[170])).
% fof(192, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X2,X3)=app(X2,X1))|X3=X1)))),inference(fof_nnf,[status(thm)],[19])).
% fof(193, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4)))),inference(variable_rename,[status(thm)],[192])).
% fof(194, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[193])).
% cnf(195,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X2,X3)!=app(X2,X1)|~ssList(X3)),inference(split_conjunct,[status(thm)],[194])).
% fof(200, 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)],[21])).
% fof(201, 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)],[200])).
% fof(202, 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)],[201])).
% cnf(203,plain,(app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X1)|~ssList(X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[202])).
% fof(204, 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)],[22])).
% fof(205, 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)],[204])).
% fof(206, 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)],[205])).
% fof(207, 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)],[206])).
% cnf(210,plain,(nil=X2|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[207])).
% fof(211, plain,![X1]:(~(ssList(X1))|app(X1,nil)=X1),inference(fof_nnf,[status(thm)],[23])).
% fof(212, plain,![X2]:(~(ssList(X2))|app(X2,nil)=X2),inference(variable_rename,[status(thm)],[211])).
% cnf(213,plain,(app(X1,nil)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[212])).
% fof(285, 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)],[39])).
% fof(286, 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)],[285])).
% fof(287, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(frontsegP(X4,X5))|(ssList(esk18_2(X4,X5))&app(X5,esk18_2(X4,X5))=X4))&(![X7]:(~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))))),inference(skolemize,[status(esa)],[286])).
% fof(288, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))&(~(frontsegP(X4,X5))|(ssList(esk18_2(X4,X5))&app(X5,esk18_2(X4,X5))=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[287])).
% fof(289, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk18_2(X4,X5))|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(X5,esk18_2(X4,X5))=X4|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[288])).
% cnf(290,plain,(app(X2,esk18_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[289])).
% cnf(291,plain,(ssList(esk18_2(X1,X2))|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[289])).
% cnf(292,plain,(frontsegP(X1,X2)|~ssList(X1)|~ssList(X2)|app(X2,X3)!=X1|~ssList(X3)),inference(split_conjunct,[status(thm)],[289])).
% fof(293, 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)],[40])).
% fof(294, 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)],[293])).
% fof(295, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(rearsegP(X4,X5))|(ssList(esk19_2(X4,X5))&app(esk19_2(X4,X5),X5)=X4))&(![X7]:(~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))))),inference(skolemize,[status(esa)],[294])).
% fof(296, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))&(~(rearsegP(X4,X5))|(ssList(esk19_2(X4,X5))&app(esk19_2(X4,X5),X5)=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[295])).
% fof(297, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk19_2(X4,X5))|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(esk19_2(X4,X5),X5)=X4|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[296])).
% cnf(298,plain,(app(esk19_2(X1,X2),X2)=X1|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[297])).
% cnf(299,plain,(ssList(esk19_2(X1,X2))|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[297])).
% fof(313, plain,![X1]:(~(ssList(X1))|((~(frontsegP(nil,X1))|nil=X1)&(~(nil=X1)|frontsegP(nil,X1)))),inference(fof_nnf,[status(thm)],[43])).
% fof(314, plain,![X2]:(~(ssList(X2))|((~(frontsegP(nil,X2))|nil=X2)&(~(nil=X2)|frontsegP(nil,X2)))),inference(variable_rename,[status(thm)],[313])).
% fof(315, plain,![X2]:(((~(frontsegP(nil,X2))|nil=X2)|~(ssList(X2)))&((~(nil=X2)|frontsegP(nil,X2))|~(ssList(X2)))),inference(distribute,[status(thm)],[314])).
% cnf(316,plain,(frontsegP(nil,X1)|~ssList(X1)|nil!=X1),inference(split_conjunct,[status(thm)],[315])).
% fof(318, plain,![X1]:(~(ssList(X1))|((~(rearsegP(nil,X1))|nil=X1)&(~(nil=X1)|rearsegP(nil,X1)))),inference(fof_nnf,[status(thm)],[44])).
% fof(319, plain,![X2]:(~(ssList(X2))|((~(rearsegP(nil,X2))|nil=X2)&(~(nil=X2)|rearsegP(nil,X2)))),inference(variable_rename,[status(thm)],[318])).
% fof(320, plain,![X2]:(((~(rearsegP(nil,X2))|nil=X2)|~(ssList(X2)))&((~(nil=X2)|rearsegP(nil,X2))|~(ssList(X2)))),inference(distribute,[status(thm)],[319])).
% cnf(321,plain,(rearsegP(nil,X1)|~ssList(X1)|nil!=X1),inference(split_conjunct,[status(thm)],[320])).
% fof(402, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(frontsegP(X1,X2))|frontsegP(app(X1,X3),X2))))),inference(fof_nnf,[status(thm)],[52])).
% fof(403, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(frontsegP(X4,X5))|frontsegP(app(X4,X6),X5))))),inference(variable_rename,[status(thm)],[402])).
% fof(404, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(frontsegP(X4,X5))|frontsegP(app(X4,X6),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[403])).
% cnf(405,plain,(frontsegP(app(X1,X3),X2)|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[404])).
% fof(406, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(rearsegP(X1,X2))|rearsegP(app(X3,X1),X2))))),inference(fof_nnf,[status(thm)],[53])).
% fof(407, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5))))),inference(variable_rename,[status(thm)],[406])).
% fof(408, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[407])).
% cnf(409,plain,(rearsegP(app(X3,X1),X2)|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[408])).
% fof(421, plain,![X1]:(~(ssList(X1))|frontsegP(X1,nil)),inference(fof_nnf,[status(thm)],[57])).
% fof(422, plain,![X2]:(~(ssList(X2))|frontsegP(X2,nil)),inference(variable_rename,[status(thm)],[421])).
% cnf(423,plain,(frontsegP(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[422])).
% fof(444, plain,![X1]:(~(ssList(X1))|frontsegP(X1,X1)),inference(fof_nnf,[status(thm)],[64])).
% fof(445, plain,![X2]:(~(ssList(X2))|frontsegP(X2,X2)),inference(variable_rename,[status(thm)],[444])).
% cnf(446,plain,(frontsegP(X1,X1)|~ssList(X1)),inference(split_conjunct,[status(thm)],[445])).
% fof(568, negated_conjecture,?[X1]:(ssList(X1)&?[X2]:(ssList(X2)&?[X3]:(ssList(X3)&?[X4]:(((((ssList(X4)&X2=X4)&X1=X3)&?[X5]:(ssList(X5)&?[X6]:((((ssList(X6)&app(app(X5,X3),X6)=X4)&equalelemsP(X3))&![X7]:(~(ssItem(X7))|![X8]:((~(ssList(X8))|~(app(X8,cons(X7,nil))=X5))|![X9]:(~(ssList(X9))|~(app(cons(X7,nil),X9)=X3)))))&![X10]:(~(ssItem(X10))|![X11]:((~(ssList(X11))|~(app(cons(X10,nil),X11)=X6))|![X12]:(~(ssList(X12))|~(app(X12,cons(X10,nil))=X3)))))))&?[X13]:((ssItem(X13)&memberP(X1,X13))&~(memberP(X2,X13))))&(nil=X4|~(nil=X3)))))),inference(fof_nnf,[status(thm)],[103])).
% fof(569, negated_conjecture,?[X14]:(ssList(X14)&?[X15]:(ssList(X15)&?[X16]:(ssList(X16)&?[X17]:(((((ssList(X17)&X15=X17)&X14=X16)&?[X18]:(ssList(X18)&?[X19]:((((ssList(X19)&app(app(X18,X16),X19)=X17)&equalelemsP(X16))&![X20]:(~(ssItem(X20))|![X21]:((~(ssList(X21))|~(app(X21,cons(X20,nil))=X18))|![X22]:(~(ssList(X22))|~(app(cons(X20,nil),X22)=X16)))))&![X23]:(~(ssItem(X23))|![X24]:((~(ssList(X24))|~(app(cons(X23,nil),X24)=X19))|![X25]:(~(ssList(X25))|~(app(X25,cons(X23,nil))=X16)))))))&?[X26]:((ssItem(X26)&memberP(X14,X26))&~(memberP(X15,X26))))&(nil=X17|~(nil=X16)))))),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)&(ssList(esk52_0)&((((ssList(esk53_0)&app(app(esk52_0,esk50_0),esk53_0)=esk51_0)&equalelemsP(esk50_0))&![X20]:(~(ssItem(X20))|![X21]:((~(ssList(X21))|~(app(X21,cons(X20,nil))=esk52_0))|![X22]:(~(ssList(X22))|~(app(cons(X20,nil),X22)=esk50_0)))))&![X23]:(~(ssItem(X23))|![X24]:((~(ssList(X24))|~(app(cons(X23,nil),X24)=esk53_0))|![X25]:(~(ssList(X25))|~(app(X25,cons(X23,nil))=esk50_0)))))))&((ssItem(esk54_0)&memberP(esk48_0,esk54_0))&~(memberP(esk49_0,esk54_0))))&(nil=esk51_0|~(nil=esk50_0)))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,![X20]:![X21]:![X22]:![X23]:![X24]:![X25]:(((((((((((~(ssList(X25))|~(app(X25,cons(X23,nil))=esk50_0))|(~(ssList(X24))|~(app(cons(X23,nil),X24)=esk53_0)))|~(ssItem(X23)))&((((~(ssList(X22))|~(app(cons(X20,nil),X22)=esk50_0))|(~(ssList(X21))|~(app(X21,cons(X20,nil))=esk52_0)))|~(ssItem(X20)))&((ssList(esk53_0)&app(app(esk52_0,esk50_0),esk53_0)=esk51_0)&equalelemsP(esk50_0))))&ssList(esk52_0))&((ssList(esk51_0)&esk49_0=esk51_0)&esk48_0=esk50_0))&((ssItem(esk54_0)&memberP(esk48_0,esk54_0))&~(memberP(esk49_0,esk54_0))))&(nil=esk51_0|~(nil=esk50_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,(~memberP(esk49_0,esk54_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(577,negated_conjecture,(memberP(esk48_0,esk54_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(578,negated_conjecture,(ssItem(esk54_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(579,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(580,negated_conjecture,(esk49_0=esk51_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(582,negated_conjecture,(ssList(esk52_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(584,negated_conjecture,(app(app(esk52_0,esk50_0),esk53_0)=esk51_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(585,negated_conjecture,(ssList(esk53_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(588,negated_conjecture,(~memberP(esk51_0,esk54_0)),inference(rw,[status(thm)],[576,580,theory(equality)])).
% cnf(589,negated_conjecture,(ssList(esk50_0)),inference(rw,[status(thm)],[572,579,theory(equality)])).
% cnf(590,negated_conjecture,(ssList(esk51_0)),inference(rw,[status(thm)],[573,580,theory(equality)])).
% cnf(593,negated_conjecture,(memberP(esk50_0,esk54_0)),inference(rw,[status(thm)],[577,579,theory(equality)])).
% cnf(594,plain,(frontsegP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[316,theory(equality)])).
% cnf(595,plain,(frontsegP(nil,nil)|$false),inference(rw,[status(thm)],[594,134,theory(equality)])).
% cnf(596,plain,(frontsegP(nil,nil)),inference(cn,[status(thm)],[595,theory(equality)])).
% cnf(597,plain,(rearsegP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[321,theory(equality)])).
% cnf(598,plain,(rearsegP(nil,nil)|$false),inference(rw,[status(thm)],[597,134,theory(equality)])).
% cnf(599,plain,(rearsegP(nil,nil)),inference(cn,[status(thm)],[598,theory(equality)])).
% cnf(681,negated_conjecture,(ssList(esk3_2(esk50_0,esk54_0))|~ssList(esk50_0)|~ssItem(esk54_0)),inference(spm,[status(thm)],[116,593,theory(equality)])).
% cnf(682,negated_conjecture,(ssList(esk3_2(esk50_0,esk54_0))|$false|~ssItem(esk54_0)),inference(rw,[status(thm)],[681,589,theory(equality)])).
% cnf(683,negated_conjecture,(ssList(esk3_2(esk50_0,esk54_0))|$false|$false),inference(rw,[status(thm)],[682,578,theory(equality)])).
% cnf(684,negated_conjecture,(ssList(esk3_2(esk50_0,esk54_0))),inference(cn,[status(thm)],[683,theory(equality)])).
% cnf(685,negated_conjecture,(ssList(esk4_2(esk50_0,esk54_0))|~ssList(esk50_0)|~ssItem(esk54_0)),inference(spm,[status(thm)],[115,593,theory(equality)])).
% cnf(686,negated_conjecture,(ssList(esk4_2(esk50_0,esk54_0))|$false|~ssItem(esk54_0)),inference(rw,[status(thm)],[685,589,theory(equality)])).
% cnf(687,negated_conjecture,(ssList(esk4_2(esk50_0,esk54_0))|$false|$false),inference(rw,[status(thm)],[686,578,theory(equality)])).
% cnf(688,negated_conjecture,(ssList(esk4_2(esk50_0,esk54_0))),inference(cn,[status(thm)],[687,theory(equality)])).
% cnf(697,plain,(ssList(esk18_2(X1,X1))|~ssList(X1)),inference(spm,[status(thm)],[291,446,theory(equality)])).
% cnf(731,negated_conjecture,(memberP(app(esk50_0,X1),esk54_0)|~ssList(X1)|~ssList(esk50_0)|~ssItem(esk54_0)),inference(spm,[status(thm)],[172,593,theory(equality)])).
% cnf(732,negated_conjecture,(memberP(app(esk50_0,X1),esk54_0)|~ssList(X1)|$false|~ssItem(esk54_0)),inference(rw,[status(thm)],[731,589,theory(equality)])).
% cnf(733,negated_conjecture,(memberP(app(esk50_0,X1),esk54_0)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[732,578,theory(equality)])).
% cnf(734,negated_conjecture,(memberP(app(esk50_0,X1),esk54_0)|~ssList(X1)),inference(cn,[status(thm)],[733,theory(equality)])).
% cnf(739,plain,(X1=nil|app(X2,X1)!=X2|~ssList(nil)|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[195,213,theory(equality)])).
% cnf(748,plain,(X1=nil|app(X2,X1)!=X2|$false|~ssList(X2)|~ssList(X1)),inference(rw,[status(thm)],[739,134,theory(equality)])).
% cnf(749,plain,(X1=nil|app(X2,X1)!=X2|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[748,theory(equality)])).
% cnf(777,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)|~ssList(app(X1,X2))),inference(er,[status(thm)],[292,theory(equality)])).
% cnf(853,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[405,423,theory(equality)])).
% cnf(855,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|$false|~ssList(X1)),inference(rw,[status(thm)],[853,134,theory(equality)])).
% cnf(856,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[855,theory(equality)])).
% cnf(879,plain,(app(X1,esk18_2(X1,X1))=X1|~ssList(X1)),inference(spm,[status(thm)],[290,446,theory(equality)])).
% cnf(915,plain,(ssList(app(X1,app(X2,X3)))|~ssList(X3)|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[159,203,theory(equality)])).
% cnf(917,plain,(app(app(X1,app(X2,X3)),X4)=app(app(X1,X2),app(X3,X4))|~ssList(X4)|~ssList(X3)|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[203,203,theory(equality)])).
% cnf(925,negated_conjecture,(app(esk52_0,app(esk50_0,esk53_0))=esk51_0|~ssList(esk53_0)|~ssList(esk50_0)|~ssList(esk52_0)),inference(spm,[status(thm)],[584,203,theory(equality)])).
% cnf(927,negated_conjecture,(app(esk51_0,X1)=app(app(esk52_0,esk50_0),app(esk53_0,X1))|~ssList(X1)|~ssList(esk53_0)|~ssList(app(esk52_0,esk50_0))),inference(spm,[status(thm)],[203,584,theory(equality)])).
% cnf(933,negated_conjecture,(app(esk52_0,app(esk50_0,esk53_0))=esk51_0|$false|~ssList(esk50_0)|~ssList(esk52_0)),inference(rw,[status(thm)],[925,585,theory(equality)])).
% cnf(934,negated_conjecture,(app(esk52_0,app(esk50_0,esk53_0))=esk51_0|$false|$false|~ssList(esk52_0)),inference(rw,[status(thm)],[933,589,theory(equality)])).
% cnf(935,negated_conjecture,(app(esk52_0,app(esk50_0,esk53_0))=esk51_0|$false|$false|$false),inference(rw,[status(thm)],[934,582,theory(equality)])).
% cnf(936,negated_conjecture,(app(esk52_0,app(esk50_0,esk53_0))=esk51_0),inference(cn,[status(thm)],[935,theory(equality)])).
% cnf(939,negated_conjecture,(app(esk51_0,X1)=app(app(esk52_0,esk50_0),app(esk53_0,X1))|~ssList(X1)|$false|~ssList(app(esk52_0,esk50_0))),inference(rw,[status(thm)],[927,585,theory(equality)])).
% cnf(940,negated_conjecture,(app(esk51_0,X1)=app(app(esk52_0,esk50_0),app(esk53_0,X1))|~ssList(X1)|~ssList(app(esk52_0,esk50_0))),inference(cn,[status(thm)],[939,theory(equality)])).
% cnf(965,plain,(memberP(app(X1,X2),X3)|memberP(X4,X3)|~memberP(app(X1,app(X2,X4)),X3)|~ssList(X4)|~ssList(app(X1,X2))|~ssItem(X3)|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[173,203,theory(equality)])).
% cnf(1051,negated_conjecture,(app(esk3_2(esk50_0,esk54_0),cons(esk54_0,esk4_2(esk50_0,esk54_0)))=esk50_0|~ssList(esk50_0)|~ssItem(esk54_0)),inference(spm,[status(thm)],[114,593,theory(equality)])).
% cnf(1052,negated_conjecture,(app(esk3_2(esk50_0,esk54_0),cons(esk54_0,esk4_2(esk50_0,esk54_0)))=esk50_0|$false|~ssItem(esk54_0)),inference(rw,[status(thm)],[1051,589,theory(equality)])).
% cnf(1053,negated_conjecture,(app(esk3_2(esk50_0,esk54_0),cons(esk54_0,esk4_2(esk50_0,esk54_0)))=esk50_0|$false|$false),inference(rw,[status(thm)],[1052,578,theory(equality)])).
% cnf(1054,negated_conjecture,(app(esk3_2(esk50_0,esk54_0),cons(esk54_0,esk4_2(esk50_0,esk54_0)))=esk50_0),inference(cn,[status(thm)],[1053,theory(equality)])).
% cnf(1396,negated_conjecture,(app(esk51_0,X1)=app(esk52_0,app(app(esk50_0,esk53_0),X1))|~ssList(X1)|~ssList(app(esk50_0,esk53_0))|~ssList(esk52_0)),inference(spm,[status(thm)],[203,936,theory(equality)])).
% cnf(1397,negated_conjecture,(frontsegP(X1,esk52_0)|esk51_0!=X1|~ssList(app(esk50_0,esk53_0))|~ssList(esk52_0)|~ssList(X1)),inference(spm,[status(thm)],[292,936,theory(equality)])).
% cnf(1400,negated_conjecture,(X1=app(esk50_0,esk53_0)|app(esk52_0,X1)!=esk51_0|~ssList(app(esk50_0,esk53_0))|~ssList(esk52_0)|~ssList(X1)),inference(spm,[status(thm)],[195,936,theory(equality)])).
% cnf(1415,negated_conjecture,(app(esk51_0,X1)=app(esk52_0,app(app(esk50_0,esk53_0),X1))|~ssList(X1)|~ssList(app(esk50_0,esk53_0))|$false),inference(rw,[status(thm)],[1396,582,theory(equality)])).
% cnf(1416,negated_conjecture,(app(esk51_0,X1)=app(esk52_0,app(app(esk50_0,esk53_0),X1))|~ssList(X1)|~ssList(app(esk50_0,esk53_0))),inference(cn,[status(thm)],[1415,theory(equality)])).
% cnf(1417,negated_conjecture,(frontsegP(X1,esk52_0)|esk51_0!=X1|~ssList(app(esk50_0,esk53_0))|$false|~ssList(X1)),inference(rw,[status(thm)],[1397,582,theory(equality)])).
% cnf(1418,negated_conjecture,(frontsegP(X1,esk52_0)|esk51_0!=X1|~ssList(app(esk50_0,esk53_0))|~ssList(X1)),inference(cn,[status(thm)],[1417,theory(equality)])).
% cnf(1423,negated_conjecture,(X1=app(esk50_0,esk53_0)|app(esk52_0,X1)!=esk51_0|~ssList(app(esk50_0,esk53_0))|$false|~ssList(X1)),inference(rw,[status(thm)],[1400,582,theory(equality)])).
% cnf(1424,negated_conjecture,(X1=app(esk50_0,esk53_0)|app(esk52_0,X1)!=esk51_0|~ssList(app(esk50_0,esk53_0))|~ssList(X1)),inference(cn,[status(thm)],[1423,theory(equality)])).
% cnf(1435,plain,(ssList(esk18_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[291,596,theory(equality)])).
% cnf(1436,plain,(app(nil,esk18_2(nil,nil))=nil|~ssList(nil)),inference(spm,[status(thm)],[290,596,theory(equality)])).
% cnf(1439,plain,(ssList(esk18_2(nil,nil))|$false),inference(rw,[status(thm)],[1435,134,theory(equality)])).
% cnf(1440,plain,(ssList(esk18_2(nil,nil))),inference(cn,[status(thm)],[1439,theory(equality)])).
% cnf(1441,plain,(app(nil,esk18_2(nil,nil))=nil|$false),inference(rw,[status(thm)],[1436,134,theory(equality)])).
% cnf(1442,plain,(app(nil,esk18_2(nil,nil))=nil),inference(cn,[status(thm)],[1441,theory(equality)])).
% cnf(1449,plain,(rearsegP(app(X1,nil),nil)|~ssList(X1)|~ssList(nil)),inference(spm,[status(thm)],[409,599,theory(equality)])).
% cnf(1455,plain,(rearsegP(app(X1,nil),nil)|~ssList(X1)|$false),inference(rw,[status(thm)],[1449,134,theory(equality)])).
% cnf(1456,plain,(rearsegP(app(X1,nil),nil)|~ssList(X1)),inference(cn,[status(thm)],[1455,theory(equality)])).
% cnf(1481,plain,(nil=esk18_2(nil,nil)|~ssList(esk18_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[210,1442,theory(equality)])).
% cnf(1508,plain,(nil=esk18_2(nil,nil)|$false|~ssList(nil)),inference(rw,[status(thm)],[1481,1440,theory(equality)])).
% cnf(1509,plain,(nil=esk18_2(nil,nil)|$false|$false),inference(rw,[status(thm)],[1508,134,theory(equality)])).
% cnf(1510,plain,(nil=esk18_2(nil,nil)),inference(cn,[status(thm)],[1509,theory(equality)])).
% cnf(1522,plain,(app(nil,nil)=nil),inference(rw,[status(thm)],[1442,1510,theory(equality)])).
% cnf(1525,plain,(app(nil,X1)=app(nil,app(nil,X1))|~ssList(X1)|~ssList(nil)),inference(spm,[status(thm)],[203,1522,theory(equality)])).
% cnf(1537,plain,(app(nil,X1)=app(nil,app(nil,X1))|~ssList(X1)|$false),inference(rw,[status(thm)],[1525,134,theory(equality)])).
% cnf(1538,plain,(app(nil,X1)=app(nil,app(nil,X1))|~ssList(X1)),inference(cn,[status(thm)],[1537,theory(equality)])).
% cnf(2071,negated_conjecture,(X1=app(esk50_0,esk53_0)|app(esk52_0,X1)!=esk51_0|~ssList(X1)|~ssList(esk53_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[1424,159,theory(equality)])).
% cnf(2072,negated_conjecture,(X1=app(esk50_0,esk53_0)|app(esk52_0,X1)!=esk51_0|~ssList(X1)|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[2071,585,theory(equality)])).
% cnf(2073,negated_conjecture,(X1=app(esk50_0,esk53_0)|app(esk52_0,X1)!=esk51_0|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[2072,589,theory(equality)])).
% cnf(2074,negated_conjecture,(X1=app(esk50_0,esk53_0)|app(esk52_0,X1)!=esk51_0|~ssList(X1)),inference(cn,[status(thm)],[2073,theory(equality)])).
% cnf(2372,negated_conjecture,(app(app(esk52_0,esk50_0),app(esk53_0,X1))=app(esk51_0,X1)|~ssList(X1)|~ssList(esk50_0)|~ssList(esk52_0)),inference(spm,[status(thm)],[940,159,theory(equality)])).
% cnf(2373,negated_conjecture,(app(app(esk52_0,esk50_0),app(esk53_0,X1))=app(esk51_0,X1)|~ssList(X1)|$false|~ssList(esk52_0)),inference(rw,[status(thm)],[2372,589,theory(equality)])).
% cnf(2374,negated_conjecture,(app(app(esk52_0,esk50_0),app(esk53_0,X1))=app(esk51_0,X1)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[2373,582,theory(equality)])).
% cnf(2375,negated_conjecture,(app(app(esk52_0,esk50_0),app(esk53_0,X1))=app(esk51_0,X1)|~ssList(X1)),inference(cn,[status(thm)],[2374,theory(equality)])).
% cnf(2393,negated_conjecture,(app(app(esk52_0,esk50_0),esk53_0)=app(esk51_0,nil)|~ssList(nil)|~ssList(esk53_0)),inference(spm,[status(thm)],[2375,213,theory(equality)])).
% cnf(2400,negated_conjecture,(esk51_0=app(esk51_0,nil)|~ssList(nil)|~ssList(esk53_0)),inference(rw,[status(thm)],[2393,584,theory(equality)])).
% cnf(2401,negated_conjecture,(esk51_0=app(esk51_0,nil)|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[2400,134,theory(equality)])).
% cnf(2402,negated_conjecture,(esk51_0=app(esk51_0,nil)|$false|$false),inference(rw,[status(thm)],[2401,585,theory(equality)])).
% cnf(2403,negated_conjecture,(esk51_0=app(esk51_0,nil)),inference(cn,[status(thm)],[2402,theory(equality)])).
% cnf(2416,negated_conjecture,(rearsegP(esk51_0,nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[1456,2403,theory(equality)])).
% cnf(2455,negated_conjecture,(rearsegP(esk51_0,nil)|$false),inference(rw,[status(thm)],[2416,590,theory(equality)])).
% cnf(2456,negated_conjecture,(rearsegP(esk51_0,nil)),inference(cn,[status(thm)],[2455,theory(equality)])).
% cnf(2462,negated_conjecture,(rearsegP(app(X1,esk51_0),nil)|~ssList(X1)|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[409,2456,theory(equality)])).
% cnf(2473,negated_conjecture,(rearsegP(app(X1,esk51_0),nil)|~ssList(X1)|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[2462,134,theory(equality)])).
% cnf(2474,negated_conjecture,(rearsegP(app(X1,esk51_0),nil)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[2473,590,theory(equality)])).
% cnf(2475,negated_conjecture,(rearsegP(app(X1,esk51_0),nil)|~ssList(X1)),inference(cn,[status(thm)],[2474,theory(equality)])).
% cnf(3158,negated_conjecture,(app(esk52_0,app(app(esk50_0,esk53_0),X1))=app(esk51_0,X1)|~ssList(X1)|~ssList(esk53_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[1416,159,theory(equality)])).
% cnf(3159,negated_conjecture,(app(esk52_0,app(app(esk50_0,esk53_0),X1))=app(esk51_0,X1)|~ssList(X1)|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[3158,585,theory(equality)])).
% cnf(3160,negated_conjecture,(app(esk52_0,app(app(esk50_0,esk53_0),X1))=app(esk51_0,X1)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[3159,589,theory(equality)])).
% cnf(3161,negated_conjecture,(app(esk52_0,app(app(esk50_0,esk53_0),X1))=app(esk51_0,X1)|~ssList(X1)),inference(cn,[status(thm)],[3160,theory(equality)])).
% cnf(4348,negated_conjecture,(frontsegP(X1,esk52_0)|esk51_0!=X1|~ssList(X1)|~ssList(esk53_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[1418,159,theory(equality)])).
% cnf(4349,negated_conjecture,(frontsegP(X1,esk52_0)|esk51_0!=X1|~ssList(X1)|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[4348,585,theory(equality)])).
% cnf(4350,negated_conjecture,(frontsegP(X1,esk52_0)|esk51_0!=X1|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[4349,589,theory(equality)])).
% cnf(4351,negated_conjecture,(frontsegP(X1,esk52_0)|esk51_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[4350,theory(equality)])).
% cnf(4352,negated_conjecture,(frontsegP(esk51_0,esk52_0)|~ssList(esk51_0)),inference(er,[status(thm)],[4351,theory(equality)])).
% cnf(4353,negated_conjecture,(frontsegP(esk51_0,esk52_0)|$false),inference(rw,[status(thm)],[4352,590,theory(equality)])).
% cnf(4354,negated_conjecture,(frontsegP(esk51_0,esk52_0)),inference(cn,[status(thm)],[4353,theory(equality)])).
% cnf(4355,negated_conjecture,(ssList(esk18_2(esk51_0,esk52_0))|~ssList(esk52_0)|~ssList(esk51_0)),inference(spm,[status(thm)],[291,4354,theory(equality)])).
% cnf(4357,negated_conjecture,(app(esk52_0,esk18_2(esk51_0,esk52_0))=esk51_0|~ssList(esk52_0)|~ssList(esk51_0)),inference(spm,[status(thm)],[290,4354,theory(equality)])).
% cnf(4360,negated_conjecture,(ssList(esk18_2(esk51_0,esk52_0))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[4355,582,theory(equality)])).
% cnf(4361,negated_conjecture,(ssList(esk18_2(esk51_0,esk52_0))|$false|$false),inference(rw,[status(thm)],[4360,590,theory(equality)])).
% cnf(4362,negated_conjecture,(ssList(esk18_2(esk51_0,esk52_0))),inference(cn,[status(thm)],[4361,theory(equality)])).
% cnf(4366,negated_conjecture,(app(esk52_0,esk18_2(esk51_0,esk52_0))=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[4357,582,theory(equality)])).
% cnf(4367,negated_conjecture,(app(esk52_0,esk18_2(esk51_0,esk52_0))=esk51_0|$false|$false),inference(rw,[status(thm)],[4366,590,theory(equality)])).
% cnf(4368,negated_conjecture,(app(esk52_0,esk18_2(esk51_0,esk52_0))=esk51_0),inference(cn,[status(thm)],[4367,theory(equality)])).
% cnf(4391,negated_conjecture,(esk18_2(esk51_0,esk52_0)=app(esk50_0,esk53_0)|~ssList(esk18_2(esk51_0,esk52_0))),inference(spm,[status(thm)],[2074,4368,theory(equality)])).
% cnf(4441,negated_conjecture,(esk18_2(esk51_0,esk52_0)=app(esk50_0,esk53_0)|$false),inference(rw,[status(thm)],[4391,4362,theory(equality)])).
% cnf(4442,negated_conjecture,(esk18_2(esk51_0,esk52_0)=app(esk50_0,esk53_0)),inference(cn,[status(thm)],[4441,theory(equality)])).
% cnf(4444,negated_conjecture,(ssList(app(esk50_0,esk53_0))),inference(rw,[status(thm)],[4362,4442,theory(equality)])).
% cnf(6532,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[777,159])).
% cnf(6548,negated_conjecture,(frontsegP(esk50_0,esk3_2(esk50_0,esk54_0))|~ssList(cons(esk54_0,esk4_2(esk50_0,esk54_0)))|~ssList(esk3_2(esk50_0,esk54_0))),inference(spm,[status(thm)],[6532,1054,theory(equality)])).
% cnf(6595,negated_conjecture,(frontsegP(esk50_0,esk3_2(esk50_0,esk54_0))|~ssList(cons(esk54_0,esk4_2(esk50_0,esk54_0)))|$false),inference(rw,[status(thm)],[6548,684,theory(equality)])).
% cnf(6596,negated_conjecture,(frontsegP(esk50_0,esk3_2(esk50_0,esk54_0))|~ssList(cons(esk54_0,esk4_2(esk50_0,esk54_0)))),inference(cn,[status(thm)],[6595,theory(equality)])).
% cnf(6869,negated_conjecture,(frontsegP(esk50_0,esk3_2(esk50_0,esk54_0))|~ssList(esk4_2(esk50_0,esk54_0))|~ssItem(esk54_0)),inference(spm,[status(thm)],[6596,133,theory(equality)])).
% cnf(6870,negated_conjecture,(frontsegP(esk50_0,esk3_2(esk50_0,esk54_0))|$false|~ssItem(esk54_0)),inference(rw,[status(thm)],[6869,688,theory(equality)])).
% cnf(6871,negated_conjecture,(frontsegP(esk50_0,esk3_2(esk50_0,esk54_0))|$false|$false),inference(rw,[status(thm)],[6870,578,theory(equality)])).
% cnf(6872,negated_conjecture,(frontsegP(esk50_0,esk3_2(esk50_0,esk54_0))),inference(cn,[status(thm)],[6871,theory(equality)])).
% cnf(6873,negated_conjecture,(ssList(esk18_2(esk50_0,esk3_2(esk50_0,esk54_0)))|~ssList(esk3_2(esk50_0,esk54_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[291,6872,theory(equality)])).
% cnf(6875,negated_conjecture,(app(esk3_2(esk50_0,esk54_0),esk18_2(esk50_0,esk3_2(esk50_0,esk54_0)))=esk50_0|~ssList(esk3_2(esk50_0,esk54_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[290,6872,theory(equality)])).
% cnf(6879,negated_conjecture,(ssList(esk18_2(esk50_0,esk3_2(esk50_0,esk54_0)))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[6873,684,theory(equality)])).
% cnf(6880,negated_conjecture,(ssList(esk18_2(esk50_0,esk3_2(esk50_0,esk54_0)))|$false|$false),inference(rw,[status(thm)],[6879,589,theory(equality)])).
% cnf(6881,negated_conjecture,(ssList(esk18_2(esk50_0,esk3_2(esk50_0,esk54_0)))),inference(cn,[status(thm)],[6880,theory(equality)])).
% cnf(6885,negated_conjecture,(app(esk3_2(esk50_0,esk54_0),esk18_2(esk50_0,esk3_2(esk50_0,esk54_0)))=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[6875,684,theory(equality)])).
% cnf(6886,negated_conjecture,(app(esk3_2(esk50_0,esk54_0),esk18_2(esk50_0,esk3_2(esk50_0,esk54_0)))=esk50_0|$false|$false),inference(rw,[status(thm)],[6885,589,theory(equality)])).
% cnf(6887,negated_conjecture,(app(esk3_2(esk50_0,esk54_0),esk18_2(esk50_0,esk3_2(esk50_0,esk54_0)))=esk50_0),inference(cn,[status(thm)],[6886,theory(equality)])).
% cnf(9398,negated_conjecture,(frontsegP(esk50_0,nil)|~ssList(esk18_2(esk50_0,esk3_2(esk50_0,esk54_0)))|~ssList(esk3_2(esk50_0,esk54_0))),inference(spm,[status(thm)],[856,6887,theory(equality)])).
% cnf(9462,negated_conjecture,(frontsegP(esk50_0,nil)|$false|~ssList(esk3_2(esk50_0,esk54_0))),inference(rw,[status(thm)],[9398,6881,theory(equality)])).
% cnf(9463,negated_conjecture,(frontsegP(esk50_0,nil)|$false|$false),inference(rw,[status(thm)],[9462,684,theory(equality)])).
% cnf(9464,negated_conjecture,(frontsegP(esk50_0,nil)),inference(cn,[status(thm)],[9463,theory(equality)])).
% cnf(10324,negated_conjecture,(ssList(esk18_2(esk50_0,nil))|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[291,9464,theory(equality)])).
% cnf(10326,negated_conjecture,(app(nil,esk18_2(esk50_0,nil))=esk50_0|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[290,9464,theory(equality)])).
% cnf(10329,negated_conjecture,(ssList(esk18_2(esk50_0,nil))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[10324,134,theory(equality)])).
% cnf(10330,negated_conjecture,(ssList(esk18_2(esk50_0,nil))|$false|$false),inference(rw,[status(thm)],[10329,589,theory(equality)])).
% cnf(10331,negated_conjecture,(ssList(esk18_2(esk50_0,nil))),inference(cn,[status(thm)],[10330,theory(equality)])).
% cnf(10335,negated_conjecture,(app(nil,esk18_2(esk50_0,nil))=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[10326,134,theory(equality)])).
% cnf(10336,negated_conjecture,(app(nil,esk18_2(esk50_0,nil))=esk50_0|$false|$false),inference(rw,[status(thm)],[10335,589,theory(equality)])).
% cnf(10337,negated_conjecture,(app(nil,esk18_2(esk50_0,nil))=esk50_0),inference(cn,[status(thm)],[10336,theory(equality)])).
% cnf(10395,negated_conjecture,(app(nil,esk50_0)=esk50_0|~ssList(esk18_2(esk50_0,nil))),inference(spm,[status(thm)],[1538,10337,theory(equality)])).
% cnf(10489,negated_conjecture,(app(nil,esk50_0)=esk50_0|$false),inference(rw,[status(thm)],[10395,10331,theory(equality)])).
% cnf(10490,negated_conjecture,(app(nil,esk50_0)=esk50_0),inference(cn,[status(thm)],[10489,theory(equality)])).
% cnf(12581,negated_conjecture,(app(esk52_0,app(esk50_0,esk53_0))=app(esk51_0,esk18_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))|~ssList(esk18_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))|~ssList(app(esk50_0,esk53_0))),inference(spm,[status(thm)],[3161,879,theory(equality)])).
% cnf(12977,negated_conjecture,(esk51_0=app(esk51_0,esk18_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))|~ssList(esk18_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))|~ssList(app(esk50_0,esk53_0))),inference(rw,[status(thm)],[12581,936,theory(equality)])).
% cnf(12978,negated_conjecture,(esk51_0=app(esk51_0,esk18_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))|~ssList(esk18_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))|$false),inference(rw,[status(thm)],[12977,4444,theory(equality)])).
% cnf(12979,negated_conjecture,(esk51_0=app(esk51_0,esk18_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))|~ssList(esk18_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))),inference(cn,[status(thm)],[12978,theory(equality)])).
% cnf(13347,negated_conjecture,(app(esk51_0,esk18_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))=esk51_0|~ssList(app(esk50_0,esk53_0))),inference(spm,[status(thm)],[12979,697,theory(equality)])).
% cnf(13348,negated_conjecture,(app(esk51_0,esk18_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))=esk51_0|$false),inference(rw,[status(thm)],[13347,4444,theory(equality)])).
% cnf(13349,negated_conjecture,(app(esk51_0,esk18_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))=esk51_0),inference(cn,[status(thm)],[13348,theory(equality)])).
% cnf(13418,negated_conjecture,(esk18_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0))=nil|~ssList(esk51_0)|~ssList(esk18_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))),inference(spm,[status(thm)],[749,13349,theory(equality)])).
% cnf(13502,negated_conjecture,(esk18_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0))=nil|$false|~ssList(esk18_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))),inference(rw,[status(thm)],[13418,590,theory(equality)])).
% cnf(13503,negated_conjecture,(esk18_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0))=nil|~ssList(esk18_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))),inference(cn,[status(thm)],[13502,theory(equality)])).
% cnf(13529,negated_conjecture,(esk18_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0))=nil|~ssList(app(esk50_0,esk53_0))),inference(spm,[status(thm)],[13503,697,theory(equality)])).
% cnf(13530,negated_conjecture,(esk18_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0))=nil|$false),inference(rw,[status(thm)],[13529,4444,theory(equality)])).
% cnf(13531,negated_conjecture,(esk18_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0))=nil),inference(cn,[status(thm)],[13530,theory(equality)])).
% cnf(13686,negated_conjecture,(app(app(esk50_0,esk53_0),nil)=app(esk50_0,esk53_0)|~ssList(app(esk50_0,esk53_0))),inference(spm,[status(thm)],[879,13531,theory(equality)])).
% cnf(13698,negated_conjecture,(app(app(esk50_0,esk53_0),nil)=app(esk50_0,esk53_0)|$false),inference(rw,[status(thm)],[13686,4444,theory(equality)])).
% cnf(13699,negated_conjecture,(app(app(esk50_0,esk53_0),nil)=app(esk50_0,esk53_0)),inference(cn,[status(thm)],[13698,theory(equality)])).
% cnf(13710,negated_conjecture,(frontsegP(app(esk50_0,esk53_0),nil)|~ssList(nil)|~ssList(app(esk50_0,esk53_0))),inference(spm,[status(thm)],[856,13699,theory(equality)])).
% cnf(13774,negated_conjecture,(frontsegP(app(esk50_0,esk53_0),nil)|$false|~ssList(app(esk50_0,esk53_0))),inference(rw,[status(thm)],[13710,134,theory(equality)])).
% cnf(13775,negated_conjecture,(frontsegP(app(esk50_0,esk53_0),nil)|$false|$false),inference(rw,[status(thm)],[13774,4444,theory(equality)])).
% cnf(13776,negated_conjecture,(frontsegP(app(esk50_0,esk53_0),nil)),inference(cn,[status(thm)],[13775,theory(equality)])).
% cnf(14309,negated_conjecture,(ssList(esk18_2(app(esk50_0,esk53_0),nil))|~ssList(nil)|~ssList(app(esk50_0,esk53_0))),inference(spm,[status(thm)],[291,13776,theory(equality)])).
% cnf(14311,negated_conjecture,(app(nil,esk18_2(app(esk50_0,esk53_0),nil))=app(esk50_0,esk53_0)|~ssList(nil)|~ssList(app(esk50_0,esk53_0))),inference(spm,[status(thm)],[290,13776,theory(equality)])).
% cnf(14314,negated_conjecture,(ssList(esk18_2(app(esk50_0,esk53_0),nil))|$false|~ssList(app(esk50_0,esk53_0))),inference(rw,[status(thm)],[14309,134,theory(equality)])).
% cnf(14315,negated_conjecture,(ssList(esk18_2(app(esk50_0,esk53_0),nil))|$false|$false),inference(rw,[status(thm)],[14314,4444,theory(equality)])).
% cnf(14316,negated_conjecture,(ssList(esk18_2(app(esk50_0,esk53_0),nil))),inference(cn,[status(thm)],[14315,theory(equality)])).
% cnf(14320,negated_conjecture,(app(nil,esk18_2(app(esk50_0,esk53_0),nil))=app(esk50_0,esk53_0)|$false|~ssList(app(esk50_0,esk53_0))),inference(rw,[status(thm)],[14311,134,theory(equality)])).
% cnf(14321,negated_conjecture,(app(nil,esk18_2(app(esk50_0,esk53_0),nil))=app(esk50_0,esk53_0)|$false|$false),inference(rw,[status(thm)],[14320,4444,theory(equality)])).
% cnf(14322,negated_conjecture,(app(nil,esk18_2(app(esk50_0,esk53_0),nil))=app(esk50_0,esk53_0)),inference(cn,[status(thm)],[14321,theory(equality)])).
% cnf(14358,negated_conjecture,(app(nil,app(esk50_0,esk53_0))=app(esk50_0,esk53_0)|~ssList(esk18_2(app(esk50_0,esk53_0),nil))),inference(spm,[status(thm)],[1538,14322,theory(equality)])).
% cnf(14466,negated_conjecture,(app(nil,app(esk50_0,esk53_0))=app(esk50_0,esk53_0)|$false),inference(rw,[status(thm)],[14358,14316,theory(equality)])).
% cnf(14467,negated_conjecture,(app(nil,app(esk50_0,esk53_0))=app(esk50_0,esk53_0)),inference(cn,[status(thm)],[14466,theory(equality)])).
% cnf(17457,plain,(ssList(app(X1,app(X2,X3)))|~ssList(X2)|~ssList(X1)|~ssList(X3)),inference(csr,[status(thm)],[915,159])).
% cnf(17460,negated_conjecture,(ssList(app(X1,esk51_0))|~ssList(app(esk50_0,esk53_0))|~ssList(esk52_0)|~ssList(X1)),inference(spm,[status(thm)],[17457,936,theory(equality)])).
% cnf(17539,negated_conjecture,(ssList(app(X1,esk51_0))|$false|~ssList(esk52_0)|~ssList(X1)),inference(rw,[status(thm)],[17460,4444,theory(equality)])).
% cnf(17540,negated_conjecture,(ssList(app(X1,esk51_0))|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[17539,582,theory(equality)])).
% cnf(17541,negated_conjecture,(ssList(app(X1,esk51_0))|~ssList(X1)),inference(cn,[status(thm)],[17540,theory(equality)])).
% cnf(18063,plain,(app(app(X1,app(X2,X3)),X4)=app(app(X1,X2),app(X3,X4))|~ssList(X2)|~ssList(X1)|~ssList(X4)|~ssList(X3)),inference(csr,[status(thm)],[917,159])).
% cnf(18226,negated_conjecture,(app(app(esk50_0,esk53_0),X1)=app(app(nil,esk50_0),app(esk53_0,X1))|~ssList(X1)|~ssList(esk53_0)|~ssList(esk50_0)|~ssList(nil)),inference(spm,[status(thm)],[18063,14467,theory(equality)])).
% cnf(18441,negated_conjecture,(app(app(esk50_0,esk53_0),X1)=app(esk50_0,app(esk53_0,X1))|~ssList(X1)|~ssList(esk53_0)|~ssList(esk50_0)|~ssList(nil)),inference(rw,[status(thm)],[18226,10490,theory(equality)])).
% cnf(18442,negated_conjecture,(app(app(esk50_0,esk53_0),X1)=app(esk50_0,app(esk53_0,X1))|~ssList(X1)|$false|~ssList(esk50_0)|~ssList(nil)),inference(rw,[status(thm)],[18441,585,theory(equality)])).
% cnf(18443,negated_conjecture,(app(app(esk50_0,esk53_0),X1)=app(esk50_0,app(esk53_0,X1))|~ssList(X1)|$false|$false|~ssList(nil)),inference(rw,[status(thm)],[18442,589,theory(equality)])).
% cnf(18444,negated_conjecture,(app(app(esk50_0,esk53_0),X1)=app(esk50_0,app(esk53_0,X1))|~ssList(X1)|$false|$false|$false),inference(rw,[status(thm)],[18443,134,theory(equality)])).
% cnf(18445,negated_conjecture,(app(app(esk50_0,esk53_0),X1)=app(esk50_0,app(esk53_0,X1))|~ssList(X1)),inference(cn,[status(thm)],[18444,theory(equality)])).
% cnf(24250,plain,(memberP(app(X1,X2),X3)|memberP(X4,X3)|~memberP(app(X1,app(X2,X4)),X3)|~ssList(X2)|~ssList(X1)|~ssList(X4)|~ssItem(X3)),inference(csr,[status(thm)],[965,159])).
% cnf(32376,negated_conjecture,(rearsegP(app(esk50_0,app(esk53_0,esk51_0)),nil)|~ssList(app(esk50_0,esk53_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[2475,18445,theory(equality)])).
% cnf(32386,negated_conjecture,(ssList(app(esk50_0,app(esk53_0,esk51_0)))|~ssList(app(esk50_0,esk53_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[17541,18445,theory(equality)])).
% cnf(32558,negated_conjecture,(rearsegP(app(esk50_0,app(esk53_0,esk51_0)),nil)|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[32376,4444,theory(equality)])).
% cnf(32559,negated_conjecture,(rearsegP(app(esk50_0,app(esk53_0,esk51_0)),nil)|$false|$false),inference(rw,[status(thm)],[32558,590,theory(equality)])).
% cnf(32560,negated_conjecture,(rearsegP(app(esk50_0,app(esk53_0,esk51_0)),nil)),inference(cn,[status(thm)],[32559,theory(equality)])).
% cnf(32589,negated_conjecture,(ssList(app(esk50_0,app(esk53_0,esk51_0)))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[32386,4444,theory(equality)])).
% cnf(32590,negated_conjecture,(ssList(app(esk50_0,app(esk53_0,esk51_0)))|$false|$false),inference(rw,[status(thm)],[32589,590,theory(equality)])).
% cnf(32591,negated_conjecture,(ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(cn,[status(thm)],[32590,theory(equality)])).
% cnf(33915,negated_conjecture,(ssList(esk19_2(app(esk50_0,app(esk53_0,esk51_0)),nil))|~ssList(nil)|~ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(spm,[status(thm)],[299,32560,theory(equality)])).
% cnf(33916,negated_conjecture,(app(esk19_2(app(esk50_0,app(esk53_0,esk51_0)),nil),nil)=app(esk50_0,app(esk53_0,esk51_0))|~ssList(nil)|~ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(spm,[status(thm)],[298,32560,theory(equality)])).
% cnf(33920,negated_conjecture,(ssList(esk19_2(app(esk50_0,app(esk53_0,esk51_0)),nil))|$false|~ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(rw,[status(thm)],[33915,134,theory(equality)])).
% cnf(33921,negated_conjecture,(ssList(esk19_2(app(esk50_0,app(esk53_0,esk51_0)),nil))|$false|$false),inference(rw,[status(thm)],[33920,32591,theory(equality)])).
% cnf(33922,negated_conjecture,(ssList(esk19_2(app(esk50_0,app(esk53_0,esk51_0)),nil))),inference(cn,[status(thm)],[33921,theory(equality)])).
% cnf(33923,negated_conjecture,(app(esk19_2(app(esk50_0,app(esk53_0,esk51_0)),nil),nil)=app(esk50_0,app(esk53_0,esk51_0))|$false|~ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(rw,[status(thm)],[33916,134,theory(equality)])).
% cnf(33924,negated_conjecture,(app(esk19_2(app(esk50_0,app(esk53_0,esk51_0)),nil),nil)=app(esk50_0,app(esk53_0,esk51_0))|$false|$false),inference(rw,[status(thm)],[33923,32591,theory(equality)])).
% cnf(33925,negated_conjecture,(app(esk19_2(app(esk50_0,app(esk53_0,esk51_0)),nil),nil)=app(esk50_0,app(esk53_0,esk51_0))),inference(cn,[status(thm)],[33924,theory(equality)])).
% cnf(33991,negated_conjecture,(app(esk50_0,app(esk53_0,esk51_0))=esk19_2(app(esk50_0,app(esk53_0,esk51_0)),nil)|~ssList(esk19_2(app(esk50_0,app(esk53_0,esk51_0)),nil))),inference(spm,[status(thm)],[213,33925,theory(equality)])).
% cnf(34184,negated_conjecture,(app(esk50_0,app(esk53_0,esk51_0))=esk19_2(app(esk50_0,app(esk53_0,esk51_0)),nil)|$false),inference(rw,[status(thm)],[33991,33922,theory(equality)])).
% cnf(34185,negated_conjecture,(app(esk50_0,app(esk53_0,esk51_0))=esk19_2(app(esk50_0,app(esk53_0,esk51_0)),nil)),inference(cn,[status(thm)],[34184,theory(equality)])).
% cnf(45531,negated_conjecture,(app(app(esk50_0,app(esk53_0,esk51_0)),nil)=app(esk50_0,app(esk53_0,esk51_0))),inference(rw,[status(thm)],[33925,34185,theory(equality)])).
% cnf(45634,negated_conjecture,(app(esk50_0,app(esk53_0,esk51_0))=app(esk50_0,app(app(esk53_0,esk51_0),nil))|~ssList(nil)|~ssList(app(esk53_0,esk51_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[203,45531,theory(equality)])).
% cnf(45864,negated_conjecture,(app(esk50_0,app(esk53_0,esk51_0))=app(esk50_0,app(app(esk53_0,esk51_0),nil))|$false|~ssList(app(esk53_0,esk51_0))|~ssList(esk50_0)),inference(rw,[status(thm)],[45634,134,theory(equality)])).
% cnf(45865,negated_conjecture,(app(esk50_0,app(esk53_0,esk51_0))=app(esk50_0,app(app(esk53_0,esk51_0),nil))|$false|~ssList(app(esk53_0,esk51_0))|$false),inference(rw,[status(thm)],[45864,589,theory(equality)])).
% cnf(45866,negated_conjecture,(app(esk50_0,app(esk53_0,esk51_0))=app(esk50_0,app(app(esk53_0,esk51_0),nil))|~ssList(app(esk53_0,esk51_0))),inference(cn,[status(thm)],[45865,theory(equality)])).
% cnf(47015,negated_conjecture,(app(esk50_0,app(app(esk53_0,esk51_0),nil))=app(esk50_0,app(esk53_0,esk51_0))|~ssList(esk51_0)|~ssList(esk53_0)),inference(spm,[status(thm)],[45866,159,theory(equality)])).
% cnf(47018,negated_conjecture,(app(esk50_0,app(app(esk53_0,esk51_0),nil))=app(esk50_0,app(esk53_0,esk51_0))|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[47015,590,theory(equality)])).
% cnf(47019,negated_conjecture,(app(esk50_0,app(app(esk53_0,esk51_0),nil))=app(esk50_0,app(esk53_0,esk51_0))|$false|$false),inference(rw,[status(thm)],[47018,585,theory(equality)])).
% cnf(47020,negated_conjecture,(app(esk50_0,app(app(esk53_0,esk51_0),nil))=app(esk50_0,app(esk53_0,esk51_0))),inference(cn,[status(thm)],[47019,theory(equality)])).
% cnf(47032,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)|~ssList(app(app(esk53_0,esk51_0),nil))|~ssList(esk50_0)),inference(spm,[status(thm)],[6532,47020,theory(equality)])).
% cnf(47136,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)|~ssList(app(app(esk53_0,esk51_0),nil))|$false),inference(rw,[status(thm)],[47032,589,theory(equality)])).
% cnf(47137,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)|~ssList(app(app(esk53_0,esk51_0),nil))),inference(cn,[status(thm)],[47136,theory(equality)])).
% cnf(52332,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)|~ssList(app(esk53_0,esk51_0))),inference(spm,[status(thm)],[47137,213,theory(equality)])).
% cnf(52343,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)|~ssList(esk51_0)|~ssList(esk53_0)),inference(spm,[status(thm)],[52332,159,theory(equality)])).
% cnf(52346,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[52343,590,theory(equality)])).
% cnf(52347,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)|$false|$false),inference(rw,[status(thm)],[52346,585,theory(equality)])).
% cnf(52348,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)),inference(cn,[status(thm)],[52347,theory(equality)])).
% cnf(52353,negated_conjecture,(ssList(esk18_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))|~ssList(esk50_0)|~ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(spm,[status(thm)],[291,52348,theory(equality)])).
% cnf(52355,negated_conjecture,(app(esk50_0,esk18_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))=app(esk50_0,app(esk53_0,esk51_0))|~ssList(esk50_0)|~ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(spm,[status(thm)],[290,52348,theory(equality)])).
% cnf(52361,negated_conjecture,(ssList(esk18_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))|$false|~ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(rw,[status(thm)],[52353,589,theory(equality)])).
% cnf(52362,negated_conjecture,(ssList(esk18_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))|$false|$false),inference(rw,[status(thm)],[52361,32591,theory(equality)])).
% cnf(52363,negated_conjecture,(ssList(esk18_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))),inference(cn,[status(thm)],[52362,theory(equality)])).
% cnf(52367,negated_conjecture,(app(esk50_0,esk18_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))=app(esk50_0,app(esk53_0,esk51_0))|$false|~ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(rw,[status(thm)],[52355,589,theory(equality)])).
% cnf(52368,negated_conjecture,(app(esk50_0,esk18_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))=app(esk50_0,app(esk53_0,esk51_0))|$false|$false),inference(rw,[status(thm)],[52367,32591,theory(equality)])).
% cnf(52369,negated_conjecture,(app(esk50_0,esk18_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))=app(esk50_0,app(esk53_0,esk51_0))),inference(cn,[status(thm)],[52368,theory(equality)])).
% cnf(52449,negated_conjecture,(memberP(app(esk50_0,app(esk53_0,esk51_0)),esk54_0)|~ssList(esk18_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))),inference(spm,[status(thm)],[734,52369,theory(equality)])).
% cnf(52680,negated_conjecture,(memberP(app(esk50_0,app(esk53_0,esk51_0)),esk54_0)|$false),inference(rw,[status(thm)],[52449,52363,theory(equality)])).
% cnf(52681,negated_conjecture,(memberP(app(esk50_0,app(esk53_0,esk51_0)),esk54_0)),inference(cn,[status(thm)],[52680,theory(equality)])).
% cnf(52794,negated_conjecture,(memberP(app(esk50_0,esk53_0),esk54_0)|memberP(esk51_0,esk54_0)|~ssList(esk51_0)|~ssList(esk53_0)|~ssList(esk50_0)|~ssItem(esk54_0)),inference(spm,[status(thm)],[24250,52681,theory(equality)])).
% cnf(52827,negated_conjecture,(memberP(app(esk50_0,esk53_0),esk54_0)|memberP(esk51_0,esk54_0)|$false|~ssList(esk53_0)|~ssList(esk50_0)|~ssItem(esk54_0)),inference(rw,[status(thm)],[52794,590,theory(equality)])).
% cnf(52828,negated_conjecture,(memberP(app(esk50_0,esk53_0),esk54_0)|memberP(esk51_0,esk54_0)|$false|$false|~ssList(esk50_0)|~ssItem(esk54_0)),inference(rw,[status(thm)],[52827,585,theory(equality)])).
% cnf(52829,negated_conjecture,(memberP(app(esk50_0,esk53_0),esk54_0)|memberP(esk51_0,esk54_0)|$false|$false|$false|~ssItem(esk54_0)),inference(rw,[status(thm)],[52828,589,theory(equality)])).
% cnf(52830,negated_conjecture,(memberP(app(esk50_0,esk53_0),esk54_0)|memberP(esk51_0,esk54_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[52829,578,theory(equality)])).
% cnf(52831,negated_conjecture,(memberP(app(esk50_0,esk53_0),esk54_0)|memberP(esk51_0,esk54_0)),inference(cn,[status(thm)],[52830,theory(equality)])).
% cnf(52832,negated_conjecture,(memberP(app(esk50_0,esk53_0),esk54_0)),inference(sr,[status(thm)],[52831,588,theory(equality)])).
% cnf(52840,negated_conjecture,(memberP(app(X1,app(esk50_0,esk53_0)),esk54_0)|~ssList(app(esk50_0,esk53_0))|~ssList(X1)|~ssItem(esk54_0)),inference(spm,[status(thm)],[171,52832,theory(equality)])).
% cnf(52866,negated_conjecture,(memberP(app(X1,app(esk50_0,esk53_0)),esk54_0)|$false|~ssList(X1)|~ssItem(esk54_0)),inference(rw,[status(thm)],[52840,4444,theory(equality)])).
% cnf(52867,negated_conjecture,(memberP(app(X1,app(esk50_0,esk53_0)),esk54_0)|$false|~ssList(X1)|$false),inference(rw,[status(thm)],[52866,578,theory(equality)])).
% cnf(52868,negated_conjecture,(memberP(app(X1,app(esk50_0,esk53_0)),esk54_0)|~ssList(X1)),inference(cn,[status(thm)],[52867,theory(equality)])).
% cnf(55456,negated_conjecture,(memberP(esk51_0,esk54_0)|~ssList(esk52_0)),inference(spm,[status(thm)],[52868,936,theory(equality)])).
% cnf(55498,negated_conjecture,(memberP(esk51_0,esk54_0)|$false),inference(rw,[status(thm)],[55456,582,theory(equality)])).
% cnf(55499,negated_conjecture,(memberP(esk51_0,esk54_0)),inference(cn,[status(thm)],[55498,theory(equality)])).
% cnf(55500,negated_conjecture,($false),inference(sr,[status(thm)],[55499,588,theory(equality)])).
% cnf(55501,negated_conjecture,($false),55500,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 3599
% # ...of these trivial : 60
% # ...subsumed : 1526
% # ...remaining for further processing: 2013
% # Other redundant clauses eliminated : 439
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 153
% # Backward-rewritten : 268
% # Generated clauses : 20756
% # ...of the previous two non-trivial : 18519
% # Contextual simplify-reflections : 1223
% # Paramodulations : 20198
% # Factorizations : 0
% # Equation resolutions : 558
% # Current number of processed clauses: 1586
% # Positive orientable unit clauses: 279
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 3
% # Non-unit-clauses : 1304
% # Current number of unprocessed clauses: 13161
% # ...number of literals in the above : 86457
% # Clause-clause subsumption calls (NU) : 166685
% # Rec. Clause-clause subsumption calls : 123151
% # Unit Clause-clause subsumption calls : 4182
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 325
% # Indexed BW rewrite successes : 79
% # Backwards rewriting index: 1097 leaves, 1.35+/-1.047 terms/leaf
% # Paramod-from index: 497 leaves, 1.20+/-0.807 terms/leaf
% # Paramod-into index: 909 leaves, 1.29+/-0.967 terms/leaf
% # -------------------------------------------------
% # User time : 1.415 s
% # System time : 0.034 s
% # Total time : 1.449 s
% # Maximum resident set size: 0 pages
% PrfWatch: 2.35 CPU 2.46 WC
% FINAL PrfWatch: 2.35 CPU 2.46 WC
% SZS output end Solution for /tmp/SystemOnTPTP10772/SWC399+1.tptp
%
%------------------------------------------------------------------------------