TSTP Solution File: SWC404+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC404+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 : art02.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 08:04:02 EST 2010
% Result : Theorem 3.59s
% Output : Solution 3.59s
% 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/SystemOnTPTP21677/SWC404+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP21677/SWC404+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP21677/SWC404+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 21773
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.030 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 1.93 CPU 2.01 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(15, 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(21, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>(app(X2,X3)=app(X2,X1)=>X3=X1)))),file('/tmp/SRASS.s.p', ax80)).
% fof(23, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>app(app(X1,X2),X3)=app(X1,app(X2,X3))))),file('/tmp/SRASS.s.p', ax82)).
% fof(24, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(nil=app(X1,X2)<=>(nil=X2&nil=X1)))),file('/tmp/SRASS.s.p', ax83)).
% fof(25, axiom,![X1]:(ssList(X1)=>app(X1,nil)=X1),file('/tmp/SRASS.s.p', ax84)).
% fof(47, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(frontsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X2,X3)=X1)))),file('/tmp/SRASS.s.p', ax5)).
% fof(48, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(rearsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X3,X2)=X1)))),file('/tmp/SRASS.s.p', ax6)).
% fof(52, axiom,![X1]:(ssList(X1)=>(frontsegP(nil,X1)<=>nil=X1)),file('/tmp/SRASS.s.p', ax46)).
% fof(53, axiom,![X1]:(ssList(X1)=>(rearsegP(nil,X1)<=>nil=X1)),file('/tmp/SRASS.s.p', ax52)).
% fof(60, 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(61, 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(65, axiom,![X1]:(ssList(X1)=>frontsegP(X1,nil)),file('/tmp/SRASS.s.p', ax45)).
% fof(70, 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)|~(strictorderedP(X3)))|?[X7]:(ssItem(X7)&?[X8]:((ssList(X8)&app(X8,cons(X7,nil))=X5)&?[X9]:(ssItem(X9)&?[X10]:((ssList(X10)&app(cons(X9,nil),X10)=X3)<(X7,X9))))))|?[X11]:(ssItem(X11)&?[X12]:((ssList(X12)&app(cons(X11,nil),X12)=X6)&?[X13]:(ssItem(X13)&?[X14]:((ssList(X14)&app(X14,cons(X13,nil))=X3)<(X13,X11)))))))))|![X15]:(ssItem(X15)=>(~(memberP(X1,X15))|memberP(X2,X15))))|(~(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)|~(strictorderedP(X3)))|?[X7]:(ssItem(X7)&?[X8]:((ssList(X8)&app(X8,cons(X7,nil))=X5)&?[X9]:(ssItem(X9)&?[X10]:((ssList(X10)&app(cons(X9,nil),X10)=X3)<(X7,X9))))))|?[X11]:(ssItem(X11)&?[X12]:((ssList(X12)&app(cons(X11,nil),X12)=X6)&?[X13]:(ssItem(X13)&?[X14]:((ssList(X14)&app(X14,cons(X13,nil))=X3)<(X13,X11)))))))))|![X15]:(ssItem(X15)=>(~(memberP(X1,X15))|memberP(X2,X15))))|(~(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)|~(strictorderedP(X3)))|?[X7]:(ssItem(X7)&?[X8]:((ssList(X8)&app(X8,cons(X7,nil))=X5)&?[X9]:(ssItem(X9)&?[X10]:((ssList(X10)&app(cons(X9,nil),X10)=X3)<(X7,X9))))))|?[X11]:(ssItem(X11)&?[X12]:((ssList(X12)&app(cons(X11,nil),X12)=X6)&?[X13]:(ssItem(X13)&?[X14]:((ssList(X14)&app(X14,cons(X13,nil))=X3)<(X13,X11)))))))))|![X15]:(ssItem(X15)=>(~(memberP(X1,X15))|memberP(X2,X15))))|(~(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(131, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|ssList(cons(X2,X1)))),inference(fof_nnf,[status(thm)],[4])).
% fof(132, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|ssList(cons(X4,X3)))),inference(variable_rename,[status(thm)],[131])).
% fof(133, plain,![X3]:![X4]:((~(ssItem(X4))|ssList(cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[132])).
% cnf(134,plain,(ssList(cons(X2,X1))|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[133])).
% cnf(135,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[5])).
% fof(157, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|ssList(app(X1,X2)))),inference(fof_nnf,[status(thm)],[10])).
% fof(158, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|ssList(app(X3,X4)))),inference(variable_rename,[status(thm)],[157])).
% fof(159, plain,![X3]:![X4]:((~(ssList(X4))|ssList(app(X3,X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[158])).
% cnf(160,plain,(ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[159])).
% fof(176, 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)],[15])).
% fof(177, 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)],[176])).
% fof(178, 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)],[177])).
% fof(179, 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)],[178])).
% cnf(180,plain,(memberP(app(X2,X3),X1)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|~memberP(X3,X1)),inference(split_conjunct,[status(thm)],[179])).
% cnf(181,plain,(memberP(app(X2,X3),X1)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|~memberP(X2,X1)),inference(split_conjunct,[status(thm)],[179])).
% cnf(182,plain,(memberP(X3,X1)|memberP(X2,X1)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|~memberP(app(X2,X3),X1)),inference(split_conjunct,[status(thm)],[179])).
% fof(201, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X2,X3)=app(X2,X1))|X3=X1)))),inference(fof_nnf,[status(thm)],[21])).
% fof(202, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4)))),inference(variable_rename,[status(thm)],[201])).
% fof(203, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[202])).
% cnf(204,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X2,X3)!=app(X2,X1)|~ssList(X3)),inference(split_conjunct,[status(thm)],[203])).
% fof(209, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|app(app(X1,X2),X3)=app(X1,app(X2,X3))))),inference(fof_nnf,[status(thm)],[23])).
% fof(210, 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)],[209])).
% fof(211, 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)],[210])).
% cnf(212,plain,(app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X1)|~ssList(X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[211])).
% fof(213, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(nil=app(X1,X2))|(nil=X2&nil=X1))&((~(nil=X2)|~(nil=X1))|nil=app(X1,X2))))),inference(fof_nnf,[status(thm)],[24])).
% fof(214, 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)],[213])).
% fof(215, 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)],[214])).
% fof(216, 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)],[215])).
% cnf(219,plain,(nil=X2|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[216])).
% fof(220, plain,![X1]:(~(ssList(X1))|app(X1,nil)=X1),inference(fof_nnf,[status(thm)],[25])).
% fof(221, plain,![X2]:(~(ssList(X2))|app(X2,nil)=X2),inference(variable_rename,[status(thm)],[220])).
% cnf(222,plain,(app(X1,nil)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[221])).
% fof(343, 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)],[47])).
% fof(344, 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)],[343])).
% fof(345, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(frontsegP(X4,X5))|(ssList(esk28_2(X4,X5))&app(X5,esk28_2(X4,X5))=X4))&(![X7]:(~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))))),inference(skolemize,[status(esa)],[344])).
% fof(346, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))&(~(frontsegP(X4,X5))|(ssList(esk28_2(X4,X5))&app(X5,esk28_2(X4,X5))=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[345])).
% fof(347, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk28_2(X4,X5))|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(X5,esk28_2(X4,X5))=X4|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[346])).
% cnf(348,plain,(app(X2,esk28_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[347])).
% cnf(349,plain,(ssList(esk28_2(X1,X2))|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[347])).
% cnf(350,plain,(frontsegP(X1,X2)|~ssList(X1)|~ssList(X2)|app(X2,X3)!=X1|~ssList(X3)),inference(split_conjunct,[status(thm)],[347])).
% fof(351, 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)],[48])).
% fof(352, 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)],[351])).
% fof(353, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(rearsegP(X4,X5))|(ssList(esk29_2(X4,X5))&app(esk29_2(X4,X5),X5)=X4))&(![X7]:(~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))))),inference(skolemize,[status(esa)],[352])).
% fof(354, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))&(~(rearsegP(X4,X5))|(ssList(esk29_2(X4,X5))&app(esk29_2(X4,X5),X5)=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[353])).
% fof(355, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk29_2(X4,X5))|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(esk29_2(X4,X5),X5)=X4|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[354])).
% cnf(356,plain,(app(esk29_2(X1,X2),X2)=X1|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[355])).
% cnf(357,plain,(ssList(esk29_2(X1,X2))|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[355])).
% fof(375, plain,![X1]:(~(ssList(X1))|((~(frontsegP(nil,X1))|nil=X1)&(~(nil=X1)|frontsegP(nil,X1)))),inference(fof_nnf,[status(thm)],[52])).
% fof(376, plain,![X2]:(~(ssList(X2))|((~(frontsegP(nil,X2))|nil=X2)&(~(nil=X2)|frontsegP(nil,X2)))),inference(variable_rename,[status(thm)],[375])).
% fof(377, plain,![X2]:(((~(frontsegP(nil,X2))|nil=X2)|~(ssList(X2)))&((~(nil=X2)|frontsegP(nil,X2))|~(ssList(X2)))),inference(distribute,[status(thm)],[376])).
% cnf(378,plain,(frontsegP(nil,X1)|~ssList(X1)|nil!=X1),inference(split_conjunct,[status(thm)],[377])).
% fof(380, plain,![X1]:(~(ssList(X1))|((~(rearsegP(nil,X1))|nil=X1)&(~(nil=X1)|rearsegP(nil,X1)))),inference(fof_nnf,[status(thm)],[53])).
% fof(381, plain,![X2]:(~(ssList(X2))|((~(rearsegP(nil,X2))|nil=X2)&(~(nil=X2)|rearsegP(nil,X2)))),inference(variable_rename,[status(thm)],[380])).
% fof(382, plain,![X2]:(((~(rearsegP(nil,X2))|nil=X2)|~(ssList(X2)))&((~(nil=X2)|rearsegP(nil,X2))|~(ssList(X2)))),inference(distribute,[status(thm)],[381])).
% cnf(383,plain,(rearsegP(nil,X1)|~ssList(X1)|nil!=X1),inference(split_conjunct,[status(thm)],[382])).
% fof(443, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(frontsegP(X1,X2))|frontsegP(app(X1,X3),X2))))),inference(fof_nnf,[status(thm)],[60])).
% fof(444, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(frontsegP(X4,X5))|frontsegP(app(X4,X6),X5))))),inference(variable_rename,[status(thm)],[443])).
% fof(445, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(frontsegP(X4,X5))|frontsegP(app(X4,X6),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[444])).
% cnf(446,plain,(frontsegP(app(X1,X3),X2)|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[445])).
% fof(447, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(rearsegP(X1,X2))|rearsegP(app(X3,X1),X2))))),inference(fof_nnf,[status(thm)],[61])).
% fof(448, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5))))),inference(variable_rename,[status(thm)],[447])).
% fof(449, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[448])).
% cnf(450,plain,(rearsegP(app(X3,X1),X2)|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[449])).
% fof(462, plain,![X1]:(~(ssList(X1))|frontsegP(X1,nil)),inference(fof_nnf,[status(thm)],[65])).
% fof(463, plain,![X2]:(~(ssList(X2))|frontsegP(X2,nil)),inference(variable_rename,[status(thm)],[462])).
% cnf(464,plain,(frontsegP(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[463])).
% fof(477, plain,![X1]:(~(ssList(X1))|frontsegP(X1,X1)),inference(fof_nnf,[status(thm)],[70])).
% fof(478, plain,![X2]:(~(ssList(X2))|frontsegP(X2,X2)),inference(variable_rename,[status(thm)],[477])).
% cnf(479,plain,(frontsegP(X1,X1)|~ssList(X1)),inference(split_conjunct,[status(thm)],[478])).
% 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&strictorderedP(X3))&![X7]:(~(ssItem(X7))|![X8]:((~(ssList(X8))|~(app(X8,cons(X7,nil))=X5))|![X9]:(~(ssItem(X9))|![X10]:((~(ssList(X10))|~(app(cons(X9,nil),X10)=X3))|~(lt(X7,X9)))))))&![X11]:(~(ssItem(X11))|![X12]:((~(ssList(X12))|~(app(cons(X11,nil),X12)=X6))|![X13]:(~(ssItem(X13))|![X14]:((~(ssList(X14))|~(app(X14,cons(X13,nil))=X3))|~(lt(X13,X11))))))))))&?[X15]:(ssItem(X15)&(memberP(X1,X15)&~(memberP(X2,X15)))))&(nil=X4|~(nil=X3))))))),inference(fof_nnf,[status(thm)],[103])).
% fof(569, negated_conjecture,?[X16]:(ssList(X16)&?[X17]:(ssList(X17)&?[X18]:(ssList(X18)&?[X19]:(ssList(X19)&((((X17=X19&X16=X18)&?[X20]:(ssList(X20)&?[X21]:(ssList(X21)&(((app(app(X20,X18),X21)=X19&strictorderedP(X18))&![X22]:(~(ssItem(X22))|![X23]:((~(ssList(X23))|~(app(X23,cons(X22,nil))=X20))|![X24]:(~(ssItem(X24))|![X25]:((~(ssList(X25))|~(app(cons(X24,nil),X25)=X18))|~(lt(X22,X24)))))))&![X26]:(~(ssItem(X26))|![X27]:((~(ssList(X27))|~(app(cons(X26,nil),X27)=X21))|![X28]:(~(ssItem(X28))|![X29]:((~(ssList(X29))|~(app(X29,cons(X28,nil))=X18))|~(lt(X28,X26))))))))))&?[X30]:(ssItem(X30)&(memberP(X16,X30)&~(memberP(X17,X30)))))&(nil=X19|~(nil=X18))))))),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&strictorderedP(esk50_0))&![X22]:(~(ssItem(X22))|![X23]:((~(ssList(X23))|~(app(X23,cons(X22,nil))=esk52_0))|![X24]:(~(ssItem(X24))|![X25]:((~(ssList(X25))|~(app(cons(X24,nil),X25)=esk50_0))|~(lt(X22,X24)))))))&![X26]:(~(ssItem(X26))|![X27]:((~(ssList(X27))|~(app(cons(X26,nil),X27)=esk53_0))|![X28]:(~(ssItem(X28))|![X29]:((~(ssList(X29))|~(app(X29,cons(X28,nil))=esk50_0))|~(lt(X28,X26))))))))))&(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,![X22]:![X23]:![X24]:![X25]:![X26]:![X27]:![X28]:![X29]:(((((((((((((((~(ssList(X29))|~(app(X29,cons(X28,nil))=esk50_0))|~(lt(X28,X26)))|~(ssItem(X28)))|(~(ssList(X27))|~(app(cons(X26,nil),X27)=esk53_0)))|~(ssItem(X26)))&((((((~(ssList(X25))|~(app(cons(X24,nil),X25)=esk50_0))|~(lt(X22,X24)))|~(ssItem(X24)))|(~(ssList(X23))|~(app(X23,cons(X22,nil))=esk52_0)))|~(ssItem(X22)))&(app(app(esk52_0,esk50_0),esk53_0)=esk51_0&strictorderedP(esk50_0))))&ssList(esk53_0))&ssList(esk52_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(esk51_0))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(shift_quantors,[status(thm)],[570])).
% cnf(572,negated_conjecture,(ssList(esk48_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(573,negated_conjecture,(ssList(esk49_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(577,negated_conjecture,(~memberP(esk49_0,esk54_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(578,negated_conjecture,(memberP(esk48_0,esk54_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(579,negated_conjecture,(ssItem(esk54_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(580,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(581,negated_conjecture,(esk49_0=esk51_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(582,negated_conjecture,(ssList(esk52_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(583,negated_conjecture,(ssList(esk53_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(585,negated_conjecture,(app(app(esk52_0,esk50_0),esk53_0)=esk51_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(588,negated_conjecture,(~memberP(esk51_0,esk54_0)),inference(rw,[status(thm)],[577,581,theory(equality)])).
% cnf(589,negated_conjecture,(ssList(esk50_0)),inference(rw,[status(thm)],[572,580,theory(equality)])).
% cnf(590,negated_conjecture,(ssList(esk51_0)),inference(rw,[status(thm)],[573,581,theory(equality)])).
% cnf(593,negated_conjecture,(memberP(esk50_0,esk54_0)),inference(rw,[status(thm)],[578,580,theory(equality)])).
% cnf(594,plain,(frontsegP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[378,theory(equality)])).
% cnf(595,plain,(frontsegP(nil,nil)|$false),inference(rw,[status(thm)],[594,135,theory(equality)])).
% cnf(596,plain,(frontsegP(nil,nil)),inference(cn,[status(thm)],[595,theory(equality)])).
% cnf(597,plain,(rearsegP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[383,theory(equality)])).
% cnf(598,plain,(rearsegP(nil,nil)|$false),inference(rw,[status(thm)],[597,135,theory(equality)])).
% cnf(599,plain,(rearsegP(nil,nil)),inference(cn,[status(thm)],[598,theory(equality)])).
% cnf(671,negated_conjecture,(ssList(esk3_2(esk50_0,esk54_0))|~ssList(esk50_0)|~ssItem(esk54_0)),inference(spm,[status(thm)],[116,593,theory(equality)])).
% cnf(672,negated_conjecture,(ssList(esk3_2(esk50_0,esk54_0))|$false|~ssItem(esk54_0)),inference(rw,[status(thm)],[671,589,theory(equality)])).
% cnf(673,negated_conjecture,(ssList(esk3_2(esk50_0,esk54_0))|$false|$false),inference(rw,[status(thm)],[672,579,theory(equality)])).
% cnf(674,negated_conjecture,(ssList(esk3_2(esk50_0,esk54_0))),inference(cn,[status(thm)],[673,theory(equality)])).
% cnf(675,negated_conjecture,(ssList(esk4_2(esk50_0,esk54_0))|~ssList(esk50_0)|~ssItem(esk54_0)),inference(spm,[status(thm)],[115,593,theory(equality)])).
% cnf(676,negated_conjecture,(ssList(esk4_2(esk50_0,esk54_0))|$false|~ssItem(esk54_0)),inference(rw,[status(thm)],[675,589,theory(equality)])).
% cnf(677,negated_conjecture,(ssList(esk4_2(esk50_0,esk54_0))|$false|$false),inference(rw,[status(thm)],[676,579,theory(equality)])).
% cnf(678,negated_conjecture,(ssList(esk4_2(esk50_0,esk54_0))),inference(cn,[status(thm)],[677,theory(equality)])).
% cnf(688,plain,(ssList(esk28_2(X1,X1))|~ssList(X1)),inference(spm,[status(thm)],[349,479,theory(equality)])).
% cnf(720,negated_conjecture,(memberP(app(esk50_0,X1),esk54_0)|~ssList(X1)|~ssList(esk50_0)|~ssItem(esk54_0)),inference(spm,[status(thm)],[181,593,theory(equality)])).
% cnf(721,negated_conjecture,(memberP(app(esk50_0,X1),esk54_0)|~ssList(X1)|$false|~ssItem(esk54_0)),inference(rw,[status(thm)],[720,589,theory(equality)])).
% cnf(722,negated_conjecture,(memberP(app(esk50_0,X1),esk54_0)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[721,579,theory(equality)])).
% cnf(723,negated_conjecture,(memberP(app(esk50_0,X1),esk54_0)|~ssList(X1)),inference(cn,[status(thm)],[722,theory(equality)])).
% cnf(729,plain,(X1=nil|app(X2,X1)!=X2|~ssList(nil)|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[204,222,theory(equality)])).
% cnf(738,plain,(X1=nil|app(X2,X1)!=X2|$false|~ssList(X2)|~ssList(X1)),inference(rw,[status(thm)],[729,135,theory(equality)])).
% cnf(739,plain,(X1=nil|app(X2,X1)!=X2|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[738,theory(equality)])).
% cnf(769,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)|~ssList(app(X1,X2))),inference(er,[status(thm)],[350,theory(equality)])).
% cnf(868,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[446,464,theory(equality)])).
% cnf(870,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|$false|~ssList(X1)),inference(rw,[status(thm)],[868,135,theory(equality)])).
% cnf(871,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[870,theory(equality)])).
% cnf(887,plain,(app(X1,esk28_2(X1,X1))=X1|~ssList(X1)),inference(spm,[status(thm)],[348,479,theory(equality)])).
% cnf(923,plain,(ssList(app(X1,app(X2,X3)))|~ssList(X3)|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[160,212,theory(equality)])).
% cnf(925,plain,(app(app(X1,app(X2,X3)),X4)=app(app(X1,X2),app(X3,X4))|~ssList(X4)|~ssList(X3)|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[212,212,theory(equality)])).
% cnf(933,negated_conjecture,(app(esk52_0,app(esk50_0,esk53_0))=esk51_0|~ssList(esk53_0)|~ssList(esk50_0)|~ssList(esk52_0)),inference(spm,[status(thm)],[585,212,theory(equality)])).
% cnf(935,negated_conjecture,(app(esk51_0,X1)=app(app(esk52_0,esk50_0),app(esk53_0,X1))|~ssList(X1)|~ssList(esk53_0)|~ssList(app(esk52_0,esk50_0))),inference(spm,[status(thm)],[212,585,theory(equality)])).
% cnf(941,negated_conjecture,(app(esk52_0,app(esk50_0,esk53_0))=esk51_0|$false|~ssList(esk50_0)|~ssList(esk52_0)),inference(rw,[status(thm)],[933,583,theory(equality)])).
% cnf(942,negated_conjecture,(app(esk52_0,app(esk50_0,esk53_0))=esk51_0|$false|$false|~ssList(esk52_0)),inference(rw,[status(thm)],[941,589,theory(equality)])).
% cnf(943,negated_conjecture,(app(esk52_0,app(esk50_0,esk53_0))=esk51_0|$false|$false|$false),inference(rw,[status(thm)],[942,582,theory(equality)])).
% cnf(944,negated_conjecture,(app(esk52_0,app(esk50_0,esk53_0))=esk51_0),inference(cn,[status(thm)],[943,theory(equality)])).
% cnf(947,negated_conjecture,(app(esk51_0,X1)=app(app(esk52_0,esk50_0),app(esk53_0,X1))|~ssList(X1)|$false|~ssList(app(esk52_0,esk50_0))),inference(rw,[status(thm)],[935,583,theory(equality)])).
% cnf(948,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)],[947,theory(equality)])).
% cnf(975,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)],[182,212,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|$false),inference(rw,[status(thm)],[1052,579,theory(equality)])).
% cnf(1054,negated_conjecture,(app(esk3_2(esk50_0,esk54_0),cons(esk54_0,esk4_2(esk50_0,esk54_0)))=esk50_0),inference(cn,[status(thm)],[1053,theory(equality)])).
% cnf(1396,negated_conjecture,(app(esk51_0,X1)=app(esk52_0,app(app(esk50_0,esk53_0),X1))|~ssList(X1)|~ssList(app(esk50_0,esk53_0))|~ssList(esk52_0)),inference(spm,[status(thm)],[212,944,theory(equality)])).
% cnf(1397,negated_conjecture,(frontsegP(X1,esk52_0)|esk51_0!=X1|~ssList(app(esk50_0,esk53_0))|~ssList(esk52_0)|~ssList(X1)),inference(spm,[status(thm)],[350,944,theory(equality)])).
% cnf(1400,negated_conjecture,(X1=app(esk50_0,esk53_0)|app(esk52_0,X1)!=esk51_0|~ssList(app(esk50_0,esk53_0))|~ssList(esk52_0)|~ssList(X1)),inference(spm,[status(thm)],[204,944,theory(equality)])).
% cnf(1415,negated_conjecture,(app(esk51_0,X1)=app(esk52_0,app(app(esk50_0,esk53_0),X1))|~ssList(X1)|~ssList(app(esk50_0,esk53_0))|$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(esk28_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[349,596,theory(equality)])).
% cnf(1436,plain,(app(nil,esk28_2(nil,nil))=nil|~ssList(nil)),inference(spm,[status(thm)],[348,596,theory(equality)])).
% cnf(1439,plain,(ssList(esk28_2(nil,nil))|$false),inference(rw,[status(thm)],[1435,135,theory(equality)])).
% cnf(1440,plain,(ssList(esk28_2(nil,nil))),inference(cn,[status(thm)],[1439,theory(equality)])).
% cnf(1441,plain,(app(nil,esk28_2(nil,nil))=nil|$false),inference(rw,[status(thm)],[1436,135,theory(equality)])).
% cnf(1442,plain,(app(nil,esk28_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)],[450,599,theory(equality)])).
% cnf(1455,plain,(rearsegP(app(X1,nil),nil)|~ssList(X1)|$false),inference(rw,[status(thm)],[1449,135,theory(equality)])).
% cnf(1456,plain,(rearsegP(app(X1,nil),nil)|~ssList(X1)),inference(cn,[status(thm)],[1455,theory(equality)])).
% cnf(1481,plain,(nil=esk28_2(nil,nil)|~ssList(esk28_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[219,1442,theory(equality)])).
% cnf(1508,plain,(nil=esk28_2(nil,nil)|$false|~ssList(nil)),inference(rw,[status(thm)],[1481,1440,theory(equality)])).
% cnf(1509,plain,(nil=esk28_2(nil,nil)|$false|$false),inference(rw,[status(thm)],[1508,135,theory(equality)])).
% cnf(1510,plain,(nil=esk28_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)],[212,1522,theory(equality)])).
% cnf(1537,plain,(app(nil,X1)=app(nil,app(nil,X1))|~ssList(X1)|$false),inference(rw,[status(thm)],[1525,135,theory(equality)])).
% cnf(1538,plain,(app(nil,X1)=app(nil,app(nil,X1))|~ssList(X1)),inference(cn,[status(thm)],[1537,theory(equality)])).
% cnf(2071,negated_conjecture,(X1=app(esk50_0,esk53_0)|app(esk52_0,X1)!=esk51_0|~ssList(X1)|~ssList(esk53_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[1424,160,theory(equality)])).
% cnf(2072,negated_conjecture,(X1=app(esk50_0,esk53_0)|app(esk52_0,X1)!=esk51_0|~ssList(X1)|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[2071,583,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(2374,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)],[948,160,theory(equality)])).
% cnf(2375,negated_conjecture,(app(app(esk52_0,esk50_0),app(esk53_0,X1))=app(esk51_0,X1)|~ssList(X1)|$false|~ssList(esk52_0)),inference(rw,[status(thm)],[2374,589,theory(equality)])).
% cnf(2376,negated_conjecture,(app(app(esk52_0,esk50_0),app(esk53_0,X1))=app(esk51_0,X1)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[2375,582,theory(equality)])).
% cnf(2377,negated_conjecture,(app(app(esk52_0,esk50_0),app(esk53_0,X1))=app(esk51_0,X1)|~ssList(X1)),inference(cn,[status(thm)],[2376,theory(equality)])).
% cnf(2395,negated_conjecture,(app(app(esk52_0,esk50_0),esk53_0)=app(esk51_0,nil)|~ssList(nil)|~ssList(esk53_0)),inference(spm,[status(thm)],[2377,222,theory(equality)])).
% cnf(2402,negated_conjecture,(esk51_0=app(esk51_0,nil)|~ssList(nil)|~ssList(esk53_0)),inference(rw,[status(thm)],[2395,585,theory(equality)])).
% cnf(2403,negated_conjecture,(esk51_0=app(esk51_0,nil)|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[2402,135,theory(equality)])).
% cnf(2404,negated_conjecture,(esk51_0=app(esk51_0,nil)|$false|$false),inference(rw,[status(thm)],[2403,583,theory(equality)])).
% cnf(2405,negated_conjecture,(esk51_0=app(esk51_0,nil)),inference(cn,[status(thm)],[2404,theory(equality)])).
% cnf(2418,negated_conjecture,(rearsegP(esk51_0,nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[1456,2405,theory(equality)])).
% cnf(2457,negated_conjecture,(rearsegP(esk51_0,nil)|$false),inference(rw,[status(thm)],[2418,590,theory(equality)])).
% cnf(2458,negated_conjecture,(rearsegP(esk51_0,nil)),inference(cn,[status(thm)],[2457,theory(equality)])).
% cnf(2464,negated_conjecture,(rearsegP(app(X1,esk51_0),nil)|~ssList(X1)|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[450,2458,theory(equality)])).
% cnf(2475,negated_conjecture,(rearsegP(app(X1,esk51_0),nil)|~ssList(X1)|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[2464,135,theory(equality)])).
% cnf(2476,negated_conjecture,(rearsegP(app(X1,esk51_0),nil)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[2475,590,theory(equality)])).
% cnf(2477,negated_conjecture,(rearsegP(app(X1,esk51_0),nil)|~ssList(X1)),inference(cn,[status(thm)],[2476,theory(equality)])).
% cnf(3161,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)],[1416,160,theory(equality)])).
% cnf(3162,negated_conjecture,(app(esk52_0,app(app(esk50_0,esk53_0),X1))=app(esk51_0,X1)|~ssList(X1)|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[3161,583,theory(equality)])).
% cnf(3163,negated_conjecture,(app(esk52_0,app(app(esk50_0,esk53_0),X1))=app(esk51_0,X1)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[3162,589,theory(equality)])).
% cnf(3164,negated_conjecture,(app(esk52_0,app(app(esk50_0,esk53_0),X1))=app(esk51_0,X1)|~ssList(X1)),inference(cn,[status(thm)],[3163,theory(equality)])).
% cnf(4297,negated_conjecture,(frontsegP(X1,esk52_0)|esk51_0!=X1|~ssList(X1)|~ssList(esk53_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[1418,160,theory(equality)])).
% cnf(4298,negated_conjecture,(frontsegP(X1,esk52_0)|esk51_0!=X1|~ssList(X1)|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[4297,583,theory(equality)])).
% cnf(4299,negated_conjecture,(frontsegP(X1,esk52_0)|esk51_0!=X1|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[4298,589,theory(equality)])).
% cnf(4300,negated_conjecture,(frontsegP(X1,esk52_0)|esk51_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[4299,theory(equality)])).
% cnf(4301,negated_conjecture,(frontsegP(esk51_0,esk52_0)|~ssList(esk51_0)),inference(er,[status(thm)],[4300,theory(equality)])).
% cnf(4302,negated_conjecture,(frontsegP(esk51_0,esk52_0)|$false),inference(rw,[status(thm)],[4301,590,theory(equality)])).
% cnf(4303,negated_conjecture,(frontsegP(esk51_0,esk52_0)),inference(cn,[status(thm)],[4302,theory(equality)])).
% cnf(4304,negated_conjecture,(ssList(esk28_2(esk51_0,esk52_0))|~ssList(esk52_0)|~ssList(esk51_0)),inference(spm,[status(thm)],[349,4303,theory(equality)])).
% cnf(4306,negated_conjecture,(app(esk52_0,esk28_2(esk51_0,esk52_0))=esk51_0|~ssList(esk52_0)|~ssList(esk51_0)),inference(spm,[status(thm)],[348,4303,theory(equality)])).
% cnf(4309,negated_conjecture,(ssList(esk28_2(esk51_0,esk52_0))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[4304,582,theory(equality)])).
% cnf(4310,negated_conjecture,(ssList(esk28_2(esk51_0,esk52_0))|$false|$false),inference(rw,[status(thm)],[4309,590,theory(equality)])).
% cnf(4311,negated_conjecture,(ssList(esk28_2(esk51_0,esk52_0))),inference(cn,[status(thm)],[4310,theory(equality)])).
% cnf(4315,negated_conjecture,(app(esk52_0,esk28_2(esk51_0,esk52_0))=esk51_0|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[4306,582,theory(equality)])).
% cnf(4316,negated_conjecture,(app(esk52_0,esk28_2(esk51_0,esk52_0))=esk51_0|$false|$false),inference(rw,[status(thm)],[4315,590,theory(equality)])).
% cnf(4317,negated_conjecture,(app(esk52_0,esk28_2(esk51_0,esk52_0))=esk51_0),inference(cn,[status(thm)],[4316,theory(equality)])).
% cnf(4350,negated_conjecture,(esk28_2(esk51_0,esk52_0)=app(esk50_0,esk53_0)|~ssList(esk28_2(esk51_0,esk52_0))),inference(spm,[status(thm)],[2074,4317,theory(equality)])).
% cnf(4394,negated_conjecture,(esk28_2(esk51_0,esk52_0)=app(esk50_0,esk53_0)|$false),inference(rw,[status(thm)],[4350,4311,theory(equality)])).
% cnf(4395,negated_conjecture,(esk28_2(esk51_0,esk52_0)=app(esk50_0,esk53_0)),inference(cn,[status(thm)],[4394,theory(equality)])).
% cnf(4397,negated_conjecture,(ssList(app(esk50_0,esk53_0))),inference(rw,[status(thm)],[4311,4395,theory(equality)])).
% cnf(6261,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[769,160])).
% cnf(6277,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)],[6261,1054,theory(equality)])).
% cnf(6324,negated_conjecture,(frontsegP(esk50_0,esk3_2(esk50_0,esk54_0))|~ssList(cons(esk54_0,esk4_2(esk50_0,esk54_0)))|$false),inference(rw,[status(thm)],[6277,674,theory(equality)])).
% cnf(6325,negated_conjecture,(frontsegP(esk50_0,esk3_2(esk50_0,esk54_0))|~ssList(cons(esk54_0,esk4_2(esk50_0,esk54_0)))),inference(cn,[status(thm)],[6324,theory(equality)])).
% cnf(6472,negated_conjecture,(frontsegP(esk50_0,esk3_2(esk50_0,esk54_0))|~ssList(esk4_2(esk50_0,esk54_0))|~ssItem(esk54_0)),inference(spm,[status(thm)],[6325,134,theory(equality)])).
% cnf(6473,negated_conjecture,(frontsegP(esk50_0,esk3_2(esk50_0,esk54_0))|$false|~ssItem(esk54_0)),inference(rw,[status(thm)],[6472,678,theory(equality)])).
% cnf(6474,negated_conjecture,(frontsegP(esk50_0,esk3_2(esk50_0,esk54_0))|$false|$false),inference(rw,[status(thm)],[6473,579,theory(equality)])).
% cnf(6475,negated_conjecture,(frontsegP(esk50_0,esk3_2(esk50_0,esk54_0))),inference(cn,[status(thm)],[6474,theory(equality)])).
% cnf(6476,negated_conjecture,(ssList(esk28_2(esk50_0,esk3_2(esk50_0,esk54_0)))|~ssList(esk3_2(esk50_0,esk54_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[349,6475,theory(equality)])).
% cnf(6478,negated_conjecture,(app(esk3_2(esk50_0,esk54_0),esk28_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)],[348,6475,theory(equality)])).
% cnf(6482,negated_conjecture,(ssList(esk28_2(esk50_0,esk3_2(esk50_0,esk54_0)))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[6476,674,theory(equality)])).
% cnf(6483,negated_conjecture,(ssList(esk28_2(esk50_0,esk3_2(esk50_0,esk54_0)))|$false|$false),inference(rw,[status(thm)],[6482,589,theory(equality)])).
% cnf(6484,negated_conjecture,(ssList(esk28_2(esk50_0,esk3_2(esk50_0,esk54_0)))),inference(cn,[status(thm)],[6483,theory(equality)])).
% cnf(6488,negated_conjecture,(app(esk3_2(esk50_0,esk54_0),esk28_2(esk50_0,esk3_2(esk50_0,esk54_0)))=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[6478,674,theory(equality)])).
% cnf(6489,negated_conjecture,(app(esk3_2(esk50_0,esk54_0),esk28_2(esk50_0,esk3_2(esk50_0,esk54_0)))=esk50_0|$false|$false),inference(rw,[status(thm)],[6488,589,theory(equality)])).
% cnf(6490,negated_conjecture,(app(esk3_2(esk50_0,esk54_0),esk28_2(esk50_0,esk3_2(esk50_0,esk54_0)))=esk50_0),inference(cn,[status(thm)],[6489,theory(equality)])).
% cnf(10687,negated_conjecture,(frontsegP(esk50_0,nil)|~ssList(esk28_2(esk50_0,esk3_2(esk50_0,esk54_0)))|~ssList(esk3_2(esk50_0,esk54_0))),inference(spm,[status(thm)],[871,6490,theory(equality)])).
% cnf(10751,negated_conjecture,(frontsegP(esk50_0,nil)|$false|~ssList(esk3_2(esk50_0,esk54_0))),inference(rw,[status(thm)],[10687,6484,theory(equality)])).
% cnf(10752,negated_conjecture,(frontsegP(esk50_0,nil)|$false|$false),inference(rw,[status(thm)],[10751,674,theory(equality)])).
% cnf(10753,negated_conjecture,(frontsegP(esk50_0,nil)),inference(cn,[status(thm)],[10752,theory(equality)])).
% cnf(11643,negated_conjecture,(ssList(esk28_2(esk50_0,nil))|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[349,10753,theory(equality)])).
% cnf(11645,negated_conjecture,(app(nil,esk28_2(esk50_0,nil))=esk50_0|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[348,10753,theory(equality)])).
% cnf(11648,negated_conjecture,(ssList(esk28_2(esk50_0,nil))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[11643,135,theory(equality)])).
% cnf(11649,negated_conjecture,(ssList(esk28_2(esk50_0,nil))|$false|$false),inference(rw,[status(thm)],[11648,589,theory(equality)])).
% cnf(11650,negated_conjecture,(ssList(esk28_2(esk50_0,nil))),inference(cn,[status(thm)],[11649,theory(equality)])).
% cnf(11654,negated_conjecture,(app(nil,esk28_2(esk50_0,nil))=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[11645,135,theory(equality)])).
% cnf(11655,negated_conjecture,(app(nil,esk28_2(esk50_0,nil))=esk50_0|$false|$false),inference(rw,[status(thm)],[11654,589,theory(equality)])).
% cnf(11656,negated_conjecture,(app(nil,esk28_2(esk50_0,nil))=esk50_0),inference(cn,[status(thm)],[11655,theory(equality)])).
% cnf(11726,negated_conjecture,(app(nil,esk50_0)=esk50_0|~ssList(esk28_2(esk50_0,nil))),inference(spm,[status(thm)],[1538,11656,theory(equality)])).
% cnf(11820,negated_conjecture,(app(nil,esk50_0)=esk50_0|$false),inference(rw,[status(thm)],[11726,11650,theory(equality)])).
% cnf(11821,negated_conjecture,(app(nil,esk50_0)=esk50_0),inference(cn,[status(thm)],[11820,theory(equality)])).
% cnf(12763,negated_conjecture,(app(esk52_0,app(esk50_0,esk53_0))=app(esk51_0,esk28_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))|~ssList(esk28_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))|~ssList(app(esk50_0,esk53_0))),inference(spm,[status(thm)],[3164,887,theory(equality)])).
% cnf(13154,negated_conjecture,(esk51_0=app(esk51_0,esk28_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))|~ssList(esk28_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))|~ssList(app(esk50_0,esk53_0))),inference(rw,[status(thm)],[12763,944,theory(equality)])).
% cnf(13155,negated_conjecture,(esk51_0=app(esk51_0,esk28_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))|~ssList(esk28_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))|$false),inference(rw,[status(thm)],[13154,4397,theory(equality)])).
% cnf(13156,negated_conjecture,(esk51_0=app(esk51_0,esk28_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))|~ssList(esk28_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))),inference(cn,[status(thm)],[13155,theory(equality)])).
% cnf(15303,negated_conjecture,(app(esk51_0,esk28_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))=esk51_0|~ssList(app(esk50_0,esk53_0))),inference(spm,[status(thm)],[13156,688,theory(equality)])).
% cnf(15304,negated_conjecture,(app(esk51_0,esk28_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))=esk51_0|$false),inference(rw,[status(thm)],[15303,4397,theory(equality)])).
% cnf(15305,negated_conjecture,(app(esk51_0,esk28_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))=esk51_0),inference(cn,[status(thm)],[15304,theory(equality)])).
% cnf(15326,negated_conjecture,(esk28_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0))=nil|~ssList(esk51_0)|~ssList(esk28_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))),inference(spm,[status(thm)],[739,15305,theory(equality)])).
% cnf(15422,negated_conjecture,(esk28_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0))=nil|$false|~ssList(esk28_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))),inference(rw,[status(thm)],[15326,590,theory(equality)])).
% cnf(15423,negated_conjecture,(esk28_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0))=nil|~ssList(esk28_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)))),inference(cn,[status(thm)],[15422,theory(equality)])).
% cnf(15468,negated_conjecture,(esk28_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0))=nil|~ssList(app(esk50_0,esk53_0))),inference(spm,[status(thm)],[15423,688,theory(equality)])).
% cnf(15469,negated_conjecture,(esk28_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0))=nil|$false),inference(rw,[status(thm)],[15468,4397,theory(equality)])).
% cnf(15470,negated_conjecture,(esk28_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0))=nil),inference(cn,[status(thm)],[15469,theory(equality)])).
% cnf(15472,negated_conjecture,(app(app(esk50_0,esk53_0),nil)=app(esk50_0,esk53_0)|~ssList(app(esk50_0,esk53_0))),inference(spm,[status(thm)],[887,15470,theory(equality)])).
% cnf(15484,negated_conjecture,(app(app(esk50_0,esk53_0),nil)=app(esk50_0,esk53_0)|$false),inference(rw,[status(thm)],[15472,4397,theory(equality)])).
% cnf(15485,negated_conjecture,(app(app(esk50_0,esk53_0),nil)=app(esk50_0,esk53_0)),inference(cn,[status(thm)],[15484,theory(equality)])).
% cnf(15494,negated_conjecture,(frontsegP(app(esk50_0,esk53_0),nil)|~ssList(nil)|~ssList(app(esk50_0,esk53_0))),inference(spm,[status(thm)],[871,15485,theory(equality)])).
% cnf(15559,negated_conjecture,(frontsegP(app(esk50_0,esk53_0),nil)|$false|~ssList(app(esk50_0,esk53_0))),inference(rw,[status(thm)],[15494,135,theory(equality)])).
% cnf(15560,negated_conjecture,(frontsegP(app(esk50_0,esk53_0),nil)|$false|$false),inference(rw,[status(thm)],[15559,4397,theory(equality)])).
% cnf(15561,negated_conjecture,(frontsegP(app(esk50_0,esk53_0),nil)),inference(cn,[status(thm)],[15560,theory(equality)])).
% cnf(15823,negated_conjecture,(ssList(esk28_2(app(esk50_0,esk53_0),nil))|~ssList(nil)|~ssList(app(esk50_0,esk53_0))),inference(spm,[status(thm)],[349,15561,theory(equality)])).
% cnf(15825,negated_conjecture,(app(nil,esk28_2(app(esk50_0,esk53_0),nil))=app(esk50_0,esk53_0)|~ssList(nil)|~ssList(app(esk50_0,esk53_0))),inference(spm,[status(thm)],[348,15561,theory(equality)])).
% cnf(15828,negated_conjecture,(ssList(esk28_2(app(esk50_0,esk53_0),nil))|$false|~ssList(app(esk50_0,esk53_0))),inference(rw,[status(thm)],[15823,135,theory(equality)])).
% cnf(15829,negated_conjecture,(ssList(esk28_2(app(esk50_0,esk53_0),nil))|$false|$false),inference(rw,[status(thm)],[15828,4397,theory(equality)])).
% cnf(15830,negated_conjecture,(ssList(esk28_2(app(esk50_0,esk53_0),nil))),inference(cn,[status(thm)],[15829,theory(equality)])).
% cnf(15834,negated_conjecture,(app(nil,esk28_2(app(esk50_0,esk53_0),nil))=app(esk50_0,esk53_0)|$false|~ssList(app(esk50_0,esk53_0))),inference(rw,[status(thm)],[15825,135,theory(equality)])).
% cnf(15835,negated_conjecture,(app(nil,esk28_2(app(esk50_0,esk53_0),nil))=app(esk50_0,esk53_0)|$false|$false),inference(rw,[status(thm)],[15834,4397,theory(equality)])).
% cnf(15836,negated_conjecture,(app(nil,esk28_2(app(esk50_0,esk53_0),nil))=app(esk50_0,esk53_0)),inference(cn,[status(thm)],[15835,theory(equality)])).
% cnf(15876,negated_conjecture,(app(nil,app(esk50_0,esk53_0))=app(esk50_0,esk53_0)|~ssList(esk28_2(app(esk50_0,esk53_0),nil))),inference(spm,[status(thm)],[1538,15836,theory(equality)])).
% cnf(15995,negated_conjecture,(app(nil,app(esk50_0,esk53_0))=app(esk50_0,esk53_0)|$false),inference(rw,[status(thm)],[15876,15830,theory(equality)])).
% cnf(15996,negated_conjecture,(app(nil,app(esk50_0,esk53_0))=app(esk50_0,esk53_0)),inference(cn,[status(thm)],[15995,theory(equality)])).
% cnf(17978,plain,(ssList(app(X1,app(X2,X3)))|~ssList(X2)|~ssList(X1)|~ssList(X3)),inference(csr,[status(thm)],[923,160])).
% cnf(17981,negated_conjecture,(ssList(app(X1,esk51_0))|~ssList(app(esk50_0,esk53_0))|~ssList(esk52_0)|~ssList(X1)),inference(spm,[status(thm)],[17978,944,theory(equality)])).
% cnf(18051,negated_conjecture,(ssList(app(X1,esk51_0))|$false|~ssList(esk52_0)|~ssList(X1)),inference(rw,[status(thm)],[17981,4397,theory(equality)])).
% cnf(18052,negated_conjecture,(ssList(app(X1,esk51_0))|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[18051,582,theory(equality)])).
% cnf(18053,negated_conjecture,(ssList(app(X1,esk51_0))|~ssList(X1)),inference(cn,[status(thm)],[18052,theory(equality)])).
% cnf(18478,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)],[925,160])).
% cnf(18638,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)],[18478,15996,theory(equality)])).
% cnf(18840,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)],[18638,11821,theory(equality)])).
% cnf(18841,negated_conjecture,(app(app(esk50_0,esk53_0),X1)=app(esk50_0,app(esk53_0,X1))|~ssList(X1)|$false|~ssList(esk50_0)|~ssList(nil)),inference(rw,[status(thm)],[18840,583,theory(equality)])).
% cnf(18842,negated_conjecture,(app(app(esk50_0,esk53_0),X1)=app(esk50_0,app(esk53_0,X1))|~ssList(X1)|$false|$false|~ssList(nil)),inference(rw,[status(thm)],[18841,589,theory(equality)])).
% cnf(18843,negated_conjecture,(app(app(esk50_0,esk53_0),X1)=app(esk50_0,app(esk53_0,X1))|~ssList(X1)|$false|$false|$false),inference(rw,[status(thm)],[18842,135,theory(equality)])).
% cnf(18844,negated_conjecture,(app(app(esk50_0,esk53_0),X1)=app(esk50_0,app(esk53_0,X1))|~ssList(X1)),inference(cn,[status(thm)],[18843,theory(equality)])).
% cnf(24589,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)],[975,160])).
% cnf(35867,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)],[2477,18844,theory(equality)])).
% cnf(35882,negated_conjecture,(ssList(app(esk50_0,app(esk53_0,esk51_0)))|~ssList(app(esk50_0,esk53_0))|~ssList(esk51_0)),inference(spm,[status(thm)],[18053,18844,theory(equality)])).
% cnf(36071,negated_conjecture,(rearsegP(app(esk50_0,app(esk53_0,esk51_0)),nil)|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[35867,4397,theory(equality)])).
% cnf(36072,negated_conjecture,(rearsegP(app(esk50_0,app(esk53_0,esk51_0)),nil)|$false|$false),inference(rw,[status(thm)],[36071,590,theory(equality)])).
% cnf(36073,negated_conjecture,(rearsegP(app(esk50_0,app(esk53_0,esk51_0)),nil)),inference(cn,[status(thm)],[36072,theory(equality)])).
% cnf(36117,negated_conjecture,(ssList(app(esk50_0,app(esk53_0,esk51_0)))|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[35882,4397,theory(equality)])).
% cnf(36118,negated_conjecture,(ssList(app(esk50_0,app(esk53_0,esk51_0)))|$false|$false),inference(rw,[status(thm)],[36117,590,theory(equality)])).
% cnf(36119,negated_conjecture,(ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(cn,[status(thm)],[36118,theory(equality)])).
% cnf(37625,negated_conjecture,(ssList(esk29_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)],[357,36073,theory(equality)])).
% cnf(37626,negated_conjecture,(app(esk29_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)],[356,36073,theory(equality)])).
% cnf(37630,negated_conjecture,(ssList(esk29_2(app(esk50_0,app(esk53_0,esk51_0)),nil))|$false|~ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(rw,[status(thm)],[37625,135,theory(equality)])).
% cnf(37631,negated_conjecture,(ssList(esk29_2(app(esk50_0,app(esk53_0,esk51_0)),nil))|$false|$false),inference(rw,[status(thm)],[37630,36119,theory(equality)])).
% cnf(37632,negated_conjecture,(ssList(esk29_2(app(esk50_0,app(esk53_0,esk51_0)),nil))),inference(cn,[status(thm)],[37631,theory(equality)])).
% cnf(37633,negated_conjecture,(app(esk29_2(app(esk50_0,app(esk53_0,esk51_0)),nil),nil)=app(esk50_0,app(esk53_0,esk51_0))|$false|~ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(rw,[status(thm)],[37626,135,theory(equality)])).
% cnf(37634,negated_conjecture,(app(esk29_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)],[37633,36119,theory(equality)])).
% cnf(37635,negated_conjecture,(app(esk29_2(app(esk50_0,app(esk53_0,esk51_0)),nil),nil)=app(esk50_0,app(esk53_0,esk51_0))),inference(cn,[status(thm)],[37634,theory(equality)])).
% cnf(37704,negated_conjecture,(app(esk50_0,app(esk53_0,esk51_0))=esk29_2(app(esk50_0,app(esk53_0,esk51_0)),nil)|~ssList(esk29_2(app(esk50_0,app(esk53_0,esk51_0)),nil))),inference(spm,[status(thm)],[222,37635,theory(equality)])).
% cnf(37900,negated_conjecture,(app(esk50_0,app(esk53_0,esk51_0))=esk29_2(app(esk50_0,app(esk53_0,esk51_0)),nil)|$false),inference(rw,[status(thm)],[37704,37632,theory(equality)])).
% cnf(37901,negated_conjecture,(app(esk50_0,app(esk53_0,esk51_0))=esk29_2(app(esk50_0,app(esk53_0,esk51_0)),nil)),inference(cn,[status(thm)],[37900,theory(equality)])).
% cnf(48476,negated_conjecture,(app(app(esk50_0,app(esk53_0,esk51_0)),nil)=app(esk50_0,app(esk53_0,esk51_0))),inference(rw,[status(thm)],[37635,37901,theory(equality)])).
% cnf(48561,negated_conjecture,(app(esk50_0,app(esk53_0,esk51_0))=app(esk50_0,app(app(esk53_0,esk51_0),nil))|~ssList(nil)|~ssList(app(esk53_0,esk51_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[212,48476,theory(equality)])).
% cnf(48794,negated_conjecture,(app(esk50_0,app(esk53_0,esk51_0))=app(esk50_0,app(app(esk53_0,esk51_0),nil))|$false|~ssList(app(esk53_0,esk51_0))|~ssList(esk50_0)),inference(rw,[status(thm)],[48561,135,theory(equality)])).
% cnf(48795,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)],[48794,589,theory(equality)])).
% cnf(48796,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)],[48795,theory(equality)])).
% cnf(49982,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)],[48796,160,theory(equality)])).
% cnf(49985,negated_conjecture,(app(esk50_0,app(app(esk53_0,esk51_0),nil))=app(esk50_0,app(esk53_0,esk51_0))|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[49982,590,theory(equality)])).
% cnf(49986,negated_conjecture,(app(esk50_0,app(app(esk53_0,esk51_0),nil))=app(esk50_0,app(esk53_0,esk51_0))|$false|$false),inference(rw,[status(thm)],[49985,583,theory(equality)])).
% cnf(49987,negated_conjecture,(app(esk50_0,app(app(esk53_0,esk51_0),nil))=app(esk50_0,app(esk53_0,esk51_0))),inference(cn,[status(thm)],[49986,theory(equality)])).
% cnf(50002,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)|~ssList(app(app(esk53_0,esk51_0),nil))|~ssList(esk50_0)),inference(spm,[status(thm)],[6261,49987,theory(equality)])).
% cnf(50106,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)|~ssList(app(app(esk53_0,esk51_0),nil))|$false),inference(rw,[status(thm)],[50002,589,theory(equality)])).
% cnf(50107,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)],[50106,theory(equality)])).
% cnf(55519,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)|~ssList(app(esk53_0,esk51_0))),inference(spm,[status(thm)],[50107,222,theory(equality)])).
% cnf(55530,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)|~ssList(esk51_0)|~ssList(esk53_0)),inference(spm,[status(thm)],[55519,160,theory(equality)])).
% cnf(55533,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[55530,590,theory(equality)])).
% cnf(55534,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)|$false|$false),inference(rw,[status(thm)],[55533,583,theory(equality)])).
% cnf(55535,negated_conjecture,(frontsegP(app(esk50_0,app(esk53_0,esk51_0)),esk50_0)),inference(cn,[status(thm)],[55534,theory(equality)])).
% cnf(55540,negated_conjecture,(ssList(esk28_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))|~ssList(esk50_0)|~ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(spm,[status(thm)],[349,55535,theory(equality)])).
% cnf(55542,negated_conjecture,(app(esk50_0,esk28_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))=app(esk50_0,app(esk53_0,esk51_0))|~ssList(esk50_0)|~ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(spm,[status(thm)],[348,55535,theory(equality)])).
% cnf(55548,negated_conjecture,(ssList(esk28_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))|$false|~ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(rw,[status(thm)],[55540,589,theory(equality)])).
% cnf(55549,negated_conjecture,(ssList(esk28_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))|$false|$false),inference(rw,[status(thm)],[55548,36119,theory(equality)])).
% cnf(55550,negated_conjecture,(ssList(esk28_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))),inference(cn,[status(thm)],[55549,theory(equality)])).
% cnf(55554,negated_conjecture,(app(esk50_0,esk28_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))=app(esk50_0,app(esk53_0,esk51_0))|$false|~ssList(app(esk50_0,app(esk53_0,esk51_0)))),inference(rw,[status(thm)],[55542,589,theory(equality)])).
% cnf(55555,negated_conjecture,(app(esk50_0,esk28_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))=app(esk50_0,app(esk53_0,esk51_0))|$false|$false),inference(rw,[status(thm)],[55554,36119,theory(equality)])).
% cnf(55556,negated_conjecture,(app(esk50_0,esk28_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))=app(esk50_0,app(esk53_0,esk51_0))),inference(cn,[status(thm)],[55555,theory(equality)])).
% cnf(55637,negated_conjecture,(memberP(app(esk50_0,app(esk53_0,esk51_0)),esk54_0)|~ssList(esk28_2(app(esk50_0,app(esk53_0,esk51_0)),esk50_0))),inference(spm,[status(thm)],[723,55556,theory(equality)])).
% cnf(55871,negated_conjecture,(memberP(app(esk50_0,app(esk53_0,esk51_0)),esk54_0)|$false),inference(rw,[status(thm)],[55637,55550,theory(equality)])).
% cnf(55872,negated_conjecture,(memberP(app(esk50_0,app(esk53_0,esk51_0)),esk54_0)),inference(cn,[status(thm)],[55871,theory(equality)])).
% cnf(55914,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)],[24589,55872,theory(equality)])).
% cnf(55947,negated_conjecture,(memberP(app(esk50_0,esk53_0),esk54_0)|memberP(esk51_0,esk54_0)|$false|~ssList(esk53_0)|~ssList(esk50_0)|~ssItem(esk54_0)),inference(rw,[status(thm)],[55914,590,theory(equality)])).
% cnf(55948,negated_conjecture,(memberP(app(esk50_0,esk53_0),esk54_0)|memberP(esk51_0,esk54_0)|$false|$false|~ssList(esk50_0)|~ssItem(esk54_0)),inference(rw,[status(thm)],[55947,583,theory(equality)])).
% cnf(55949,negated_conjecture,(memberP(app(esk50_0,esk53_0),esk54_0)|memberP(esk51_0,esk54_0)|$false|$false|$false|~ssItem(esk54_0)),inference(rw,[status(thm)],[55948,589,theory(equality)])).
% cnf(55950,negated_conjecture,(memberP(app(esk50_0,esk53_0),esk54_0)|memberP(esk51_0,esk54_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[55949,579,theory(equality)])).
% cnf(55951,negated_conjecture,(memberP(app(esk50_0,esk53_0),esk54_0)|memberP(esk51_0,esk54_0)),inference(cn,[status(thm)],[55950,theory(equality)])).
% cnf(55952,negated_conjecture,(memberP(app(esk50_0,esk53_0),esk54_0)),inference(sr,[status(thm)],[55951,588,theory(equality)])).
% cnf(55960,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)],[180,55952,theory(equality)])).
% cnf(55986,negated_conjecture,(memberP(app(X1,app(esk50_0,esk53_0)),esk54_0)|$false|~ssList(X1)|~ssItem(esk54_0)),inference(rw,[status(thm)],[55960,4397,theory(equality)])).
% cnf(55987,negated_conjecture,(memberP(app(X1,app(esk50_0,esk53_0)),esk54_0)|$false|~ssList(X1)|$false),inference(rw,[status(thm)],[55986,579,theory(equality)])).
% cnf(55988,negated_conjecture,(memberP(app(X1,app(esk50_0,esk53_0)),esk54_0)|~ssList(X1)),inference(cn,[status(thm)],[55987,theory(equality)])).
% cnf(58421,negated_conjecture,(memberP(esk51_0,esk54_0)|~ssList(esk52_0)),inference(spm,[status(thm)],[55988,944,theory(equality)])).
% cnf(58463,negated_conjecture,(memberP(esk51_0,esk54_0)|$false),inference(rw,[status(thm)],[58421,582,theory(equality)])).
% cnf(58464,negated_conjecture,(memberP(esk51_0,esk54_0)),inference(cn,[status(thm)],[58463,theory(equality)])).
% cnf(58465,negated_conjecture,($false),inference(sr,[status(thm)],[58464,588,theory(equality)])).
% cnf(58466,negated_conjecture,($false),58465,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 3777
% # ...of these trivial : 60
% # ...subsumed : 1610
% # ...remaining for further processing: 2107
% # Other redundant clauses eliminated : 455
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 179
% # Backward-rewritten : 282
% # Generated clauses : 21454
% # ...of the previous two non-trivial : 19203
% # Contextual simplify-reflections : 1279
% # Paramodulations : 20877
% # Factorizations : 0
% # Equation resolutions : 577
% # Current number of processed clauses: 1640
% # Positive orientable unit clauses: 278
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 3
% # Non-unit-clauses : 1359
% # Current number of unprocessed clauses: 13593
% # ...number of literals in the above : 89088
% # Clause-clause subsumption calls (NU) : 171989
% # Rec. Clause-clause subsumption calls : 126350
% # Unit Clause-clause subsumption calls : 4999
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 326
% # Indexed BW rewrite successes : 80
% # Backwards rewriting index: 1161 leaves, 1.36+/-1.057 terms/leaf
% # Paramod-from index: 517 leaves, 1.21+/-0.847 terms/leaf
% # Paramod-into index: 946 leaves, 1.30+/-0.977 terms/leaf
% # -------------------------------------------------
% # User time : 1.475 s
% # System time : 0.037 s
% # Total time : 1.512 s
% # Maximum resident set size: 0 pages
% PrfWatch: 2.44 CPU 2.96 WC
% FINAL PrfWatch: 2.44 CPU 2.96 WC
% SZS output end Solution for /tmp/SystemOnTPTP21677/SWC404+1.tptp
%
%------------------------------------------------------------------------------