TSTP Solution File: SWC393+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC393+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 : art03.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 08:02:11 EST 2010
% Result : Theorem 3.66s
% Output : Solution 3.66s
% 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/SystemOnTPTP31137/SWC393+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP31137/SWC393+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP31137/SWC393+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 31233
% 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(3, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(neq(X1,X2)<=>~(X1=X2)))),file('/tmp/SRASS.s.p', ax15)).
% fof(4, axiom,ssList(nil),file('/tmp/SRASS.s.p', ax17)).
% fof(14, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(segmentP(X1,X2)<=>?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&app(app(X3,X2),X4)=X1))))),file('/tmp/SRASS.s.p', ax7)).
% fof(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(18, axiom,![X1]:(ssList(X1)=>app(nil,X1)=X1),file('/tmp/SRASS.s.p', ax28)).
% fof(20, axiom,![X1]:(ssList(X1)=>app(X1,nil)=X1),file('/tmp/SRASS.s.p', ax84)).
% fof(24, 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(30, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>ssList(cons(X2,X1)))),file('/tmp/SRASS.s.p', ax16)).
% fof(34, 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(36, axiom,![X1]:(ssList(X1)=>frontsegP(X1,nil)),file('/tmp/SRASS.s.p', ax45)).
% fof(37, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>ssList(app(X1,X2)))),file('/tmp/SRASS.s.p', ax26)).
% fof(42, axiom,![X1]:(ssList(X1)=>rearsegP(X1,nil)),file('/tmp/SRASS.s.p', ax51)).
% fof(74, 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(75, 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(85, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(frontsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X2,X3)=X1)))),file('/tmp/SRASS.s.p', ax5)).
% fof(86, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(rearsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X3,X2)=X1)))),file('/tmp/SRASS.s.p', ax6)).
% fof(96, conjecture,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(ssList(X4)=>((((~(X2=X4)|~(X1=X3))|![X5]:(ssItem(X5)=>(~(memberP(X1,X5))|memberP(X2,X5))))|(~(nil=X3)&nil=X4))|(neq(X4,nil)&(~(neq(X3,nil))|~(segmentP(X4,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]:(ssItem(X5)=>(~(memberP(X1,X5))|memberP(X2,X5))))|(~(nil=X3)&nil=X4))|(neq(X4,nil)&(~(neq(X3,nil))|~(segmentP(X4,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]:(ssItem(X5)=>(~(memberP(X1,X5))|memberP(X2,X5))))|(~(nil=X3)&nil=X4))|(neq(X4,nil)&(~(neq(X3,nil))|~(segmentP(X4,X3)))))))))),inference(fof_simplification,[status(thm)],[97,theory(equality)])).
% fof(115, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(neq(X1,X2))|~(X1=X2))&(X1=X2|neq(X1,X2))))),inference(fof_nnf,[status(thm)],[3])).
% fof(116, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))),inference(variable_rename,[status(thm)],[115])).
% fof(117, plain,![X3]:![X4]:((~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[116])).
% fof(118, plain,![X3]:![X4]:((((~(neq(X3,X4))|~(X3=X4))|~(ssList(X4)))|~(ssList(X3)))&(((X3=X4|neq(X3,X4))|~(ssList(X4)))|~(ssList(X3)))),inference(distribute,[status(thm)],[117])).
% cnf(119,plain,(neq(X1,X2)|X1=X2|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[118])).
% cnf(121,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[4])).
% fof(162, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(segmentP(X1,X2))|?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&app(app(X3,X2),X4)=X1)))&(![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|~(app(app(X3,X2),X4)=X1)))|segmentP(X1,X2))))),inference(fof_nnf,[status(thm)],[14])).
% fof(163, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|((~(segmentP(X5,X6))|?[X7]:(ssList(X7)&?[X8]:(ssList(X8)&app(app(X7,X6),X8)=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(app(X9,X6),X10)=X5)))|segmentP(X5,X6))))),inference(variable_rename,[status(thm)],[162])).
% fof(164, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|((~(segmentP(X5,X6))|(ssList(esk5_2(X5,X6))&(ssList(esk6_2(X5,X6))&app(app(esk5_2(X5,X6),X6),esk6_2(X5,X6))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(app(X9,X6),X10)=X5)))|segmentP(X5,X6))))),inference(skolemize,[status(esa)],[163])).
% fof(165, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(app(X9,X6),X10)=X5))|~(ssList(X9)))|segmentP(X5,X6))&(~(segmentP(X5,X6))|(ssList(esk5_2(X5,X6))&(ssList(esk6_2(X5,X6))&app(app(esk5_2(X5,X6),X6),esk6_2(X5,X6))=X5))))|~(ssList(X6)))|~(ssList(X5))),inference(shift_quantors,[status(thm)],[164])).
% fof(166, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(app(X9,X6),X10)=X5))|~(ssList(X9)))|segmentP(X5,X6))|~(ssList(X6)))|~(ssList(X5)))&((((ssList(esk5_2(X5,X6))|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))&((((ssList(esk6_2(X5,X6))|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))&(((app(app(esk5_2(X5,X6),X6),esk6_2(X5,X6))=X5|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))))),inference(distribute,[status(thm)],[165])).
% cnf(167,plain,(app(app(esk5_2(X1,X2),X2),esk6_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~segmentP(X1,X2)),inference(split_conjunct,[status(thm)],[166])).
% cnf(168,plain,(ssList(esk6_2(X1,X2))|~ssList(X1)|~ssList(X2)|~segmentP(X1,X2)),inference(split_conjunct,[status(thm)],[166])).
% cnf(169,plain,(ssList(esk5_2(X1,X2))|~ssList(X1)|~ssList(X2)|~segmentP(X1,X2)),inference(split_conjunct,[status(thm)],[166])).
% cnf(170,plain,(segmentP(X1,X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|app(app(X3,X2),X4)!=X1|~ssList(X4)),inference(split_conjunct,[status(thm)],[166])).
% fof(171, 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(172, 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)],[171])).
% fof(173, 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)],[172])).
% fof(174, 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)],[173])).
% cnf(175,plain,(memberP(app(X2,X3),X1)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|~memberP(X3,X1)),inference(split_conjunct,[status(thm)],[174])).
% cnf(176,plain,(memberP(app(X2,X3),X1)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|~memberP(X2,X1)),inference(split_conjunct,[status(thm)],[174])).
% fof(187, plain,![X1]:(~(ssList(X1))|app(nil,X1)=X1),inference(fof_nnf,[status(thm)],[18])).
% fof(188, plain,![X2]:(~(ssList(X2))|app(nil,X2)=X2),inference(variable_rename,[status(thm)],[187])).
% cnf(189,plain,(app(nil,X1)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[188])).
% fof(197, plain,![X1]:(~(ssList(X1))|app(X1,nil)=X1),inference(fof_nnf,[status(thm)],[20])).
% fof(198, plain,![X2]:(~(ssList(X2))|app(X2,nil)=X2),inference(variable_rename,[status(thm)],[197])).
% cnf(199,plain,(app(X1,nil)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[198])).
% fof(214, 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)],[24])).
% fof(215, 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)],[214])).
% fof(216, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssItem(X6))|((~(memberP(X5,X6))|(ssList(esk8_2(X5,X6))&(ssList(esk9_2(X5,X6))&app(esk8_2(X5,X6),cons(X6,esk9_2(X5,X6)))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(X9,cons(X6,X10))=X5)))|memberP(X5,X6))))),inference(skolemize,[status(esa)],[215])).
% fof(217, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(X9,cons(X6,X10))=X5))|~(ssList(X9)))|memberP(X5,X6))&(~(memberP(X5,X6))|(ssList(esk8_2(X5,X6))&(ssList(esk9_2(X5,X6))&app(esk8_2(X5,X6),cons(X6,esk9_2(X5,X6)))=X5))))|~(ssItem(X6)))|~(ssList(X5))),inference(shift_quantors,[status(thm)],[216])).
% fof(218, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(X9,cons(X6,X10))=X5))|~(ssList(X9)))|memberP(X5,X6))|~(ssItem(X6)))|~(ssList(X5)))&((((ssList(esk8_2(X5,X6))|~(memberP(X5,X6)))|~(ssItem(X6)))|~(ssList(X5)))&((((ssList(esk9_2(X5,X6))|~(memberP(X5,X6)))|~(ssItem(X6)))|~(ssList(X5)))&(((app(esk8_2(X5,X6),cons(X6,esk9_2(X5,X6)))=X5|~(memberP(X5,X6)))|~(ssItem(X6)))|~(ssList(X5)))))),inference(distribute,[status(thm)],[217])).
% cnf(219,plain,(app(esk8_2(X1,X2),cons(X2,esk9_2(X1,X2)))=X1|~ssList(X1)|~ssItem(X2)|~memberP(X1,X2)),inference(split_conjunct,[status(thm)],[218])).
% cnf(220,plain,(ssList(esk9_2(X1,X2))|~ssList(X1)|~ssItem(X2)|~memberP(X1,X2)),inference(split_conjunct,[status(thm)],[218])).
% cnf(221,plain,(ssList(esk8_2(X1,X2))|~ssList(X1)|~ssItem(X2)|~memberP(X1,X2)),inference(split_conjunct,[status(thm)],[218])).
% fof(246, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|ssList(cons(X2,X1)))),inference(fof_nnf,[status(thm)],[30])).
% fof(247, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|ssList(cons(X4,X3)))),inference(variable_rename,[status(thm)],[246])).
% fof(248, plain,![X3]:![X4]:((~(ssItem(X4))|ssList(cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[247])).
% cnf(249,plain,(ssList(cons(X2,X1))|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[248])).
% fof(266, 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)],[34])).
% fof(267, 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)],[266])).
% fof(268, 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)],[267])).
% cnf(269,plain,(app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X1)|~ssList(X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[268])).
% fof(274, plain,![X1]:(~(ssList(X1))|frontsegP(X1,nil)),inference(fof_nnf,[status(thm)],[36])).
% fof(275, plain,![X2]:(~(ssList(X2))|frontsegP(X2,nil)),inference(variable_rename,[status(thm)],[274])).
% cnf(276,plain,(frontsegP(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[275])).
% fof(277, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|ssList(app(X1,X2)))),inference(fof_nnf,[status(thm)],[37])).
% fof(278, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|ssList(app(X3,X4)))),inference(variable_rename,[status(thm)],[277])).
% fof(279, plain,![X3]:![X4]:((~(ssList(X4))|ssList(app(X3,X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[278])).
% cnf(280,plain,(ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[279])).
% fof(295, plain,![X1]:(~(ssList(X1))|rearsegP(X1,nil)),inference(fof_nnf,[status(thm)],[42])).
% fof(296, plain,![X2]:(~(ssList(X2))|rearsegP(X2,nil)),inference(variable_rename,[status(thm)],[295])).
% cnf(297,plain,(rearsegP(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[296])).
% fof(428, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(frontsegP(X1,X2))|frontsegP(app(X1,X3),X2))))),inference(fof_nnf,[status(thm)],[74])).
% fof(429, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(frontsegP(X4,X5))|frontsegP(app(X4,X6),X5))))),inference(variable_rename,[status(thm)],[428])).
% fof(430, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(frontsegP(X4,X5))|frontsegP(app(X4,X6),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[429])).
% cnf(431,plain,(frontsegP(app(X1,X3),X2)|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[430])).
% fof(432, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(rearsegP(X1,X2))|rearsegP(app(X3,X1),X2))))),inference(fof_nnf,[status(thm)],[75])).
% fof(433, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5))))),inference(variable_rename,[status(thm)],[432])).
% fof(434, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(rearsegP(X4,X5))|rearsegP(app(X6,X4),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[433])).
% cnf(435,plain,(rearsegP(app(X3,X1),X2)|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[434])).
% fof(465, 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)],[85])).
% fof(466, 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)],[465])).
% fof(467, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(frontsegP(X4,X5))|(ssList(esk21_2(X4,X5))&app(X5,esk21_2(X4,X5))=X4))&(![X7]:(~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))))),inference(skolemize,[status(esa)],[466])).
% fof(468, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))&(~(frontsegP(X4,X5))|(ssList(esk21_2(X4,X5))&app(X5,esk21_2(X4,X5))=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[467])).
% fof(469, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk21_2(X4,X5))|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(X5,esk21_2(X4,X5))=X4|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[468])).
% cnf(470,plain,(app(X2,esk21_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[469])).
% cnf(471,plain,(ssList(esk21_2(X1,X2))|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[469])).
% cnf(472,plain,(frontsegP(X1,X2)|~ssList(X1)|~ssList(X2)|app(X2,X3)!=X1|~ssList(X3)),inference(split_conjunct,[status(thm)],[469])).
% fof(473, 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)],[86])).
% fof(474, 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)],[473])).
% fof(475, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(rearsegP(X4,X5))|(ssList(esk22_2(X4,X5))&app(esk22_2(X4,X5),X5)=X4))&(![X7]:(~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))))),inference(skolemize,[status(esa)],[474])).
% fof(476, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))&(~(rearsegP(X4,X5))|(ssList(esk22_2(X4,X5))&app(esk22_2(X4,X5),X5)=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[475])).
% fof(477, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk22_2(X4,X5))|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(esk22_2(X4,X5),X5)=X4|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[476])).
% cnf(478,plain,(app(esk22_2(X1,X2),X2)=X1|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[477])).
% cnf(479,plain,(ssList(esk22_2(X1,X2))|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[477])).
% cnf(480,plain,(rearsegP(X1,X2)|~ssList(X1)|~ssList(X2)|app(X3,X2)!=X1|~ssList(X3)),inference(split_conjunct,[status(thm)],[477])).
% fof(568, negated_conjecture,?[X1]:(ssList(X1)&?[X2]:(ssList(X2)&?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&((((X2=X4&X1=X3)&?[X5]:(ssItem(X5)&(memberP(X1,X5)&~(memberP(X2,X5)))))&(nil=X3|~(nil=X4)))&(~(neq(X4,nil))|(neq(X3,nil)&segmentP(X4,X3)))))))),inference(fof_nnf,[status(thm)],[103])).
% fof(569, negated_conjecture,?[X6]:(ssList(X6)&?[X7]:(ssList(X7)&?[X8]:(ssList(X8)&?[X9]:(ssList(X9)&((((X7=X9&X6=X8)&?[X10]:(ssItem(X10)&(memberP(X6,X10)&~(memberP(X7,X10)))))&(nil=X8|~(nil=X9)))&(~(neq(X9,nil))|(neq(X8,nil)&segmentP(X9,X8)))))))),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)&(ssItem(esk52_0)&(memberP(esk48_0,esk52_0)&~(memberP(esk49_0,esk52_0)))))&(nil=esk50_0|~(nil=esk51_0)))&(~(neq(esk51_0,nil))|(neq(esk50_0,nil)&segmentP(esk51_0,esk50_0)))))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,(ssList(esk48_0)&(ssList(esk49_0)&(ssList(esk50_0)&(ssList(esk51_0)&((((esk49_0=esk51_0&esk48_0=esk50_0)&(ssItem(esk52_0)&(memberP(esk48_0,esk52_0)&~(memberP(esk49_0,esk52_0)))))&(nil=esk50_0|~(nil=esk51_0)))&((neq(esk50_0,nil)|~(neq(esk51_0,nil)))&(segmentP(esk51_0,esk50_0)|~(neq(esk51_0,nil))))))))),inference(distribute,[status(thm)],[570])).
% cnf(572,negated_conjecture,(segmentP(esk51_0,esk50_0)|~neq(esk51_0,nil)),inference(split_conjunct,[status(thm)],[571])).
% cnf(574,negated_conjecture,(nil=esk50_0|nil!=esk51_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(575,negated_conjecture,(~memberP(esk49_0,esk52_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(576,negated_conjecture,(memberP(esk48_0,esk52_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(577,negated_conjecture,(ssItem(esk52_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(578,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(579,negated_conjecture,(esk49_0=esk51_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(582,negated_conjecture,(ssList(esk49_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(583,negated_conjecture,(ssList(esk48_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(584,negated_conjecture,(~memberP(esk51_0,esk52_0)),inference(rw,[status(thm)],[575,579,theory(equality)])).
% cnf(585,negated_conjecture,(ssList(esk50_0)),inference(rw,[status(thm)],[583,578,theory(equality)])).
% cnf(586,negated_conjecture,(ssList(esk51_0)),inference(rw,[status(thm)],[582,579,theory(equality)])).
% cnf(589,negated_conjecture,(memberP(esk50_0,esk52_0)),inference(rw,[status(thm)],[576,578,theory(equality)])).
% cnf(621,negated_conjecture,(segmentP(esk51_0,esk50_0)|esk51_0=nil|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[572,119,theory(equality)])).
% cnf(625,negated_conjecture,(segmentP(esk51_0,esk50_0)|esk51_0=nil|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[621,121,theory(equality)])).
% cnf(626,negated_conjecture,(segmentP(esk51_0,esk50_0)|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[625,586,theory(equality)])).
% cnf(627,negated_conjecture,(segmentP(esk51_0,esk50_0)|esk51_0=nil),inference(cn,[status(thm)],[626,theory(equality)])).
% cnf(657,negated_conjecture,(ssList(esk8_2(esk50_0,esk52_0))|~ssList(esk50_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[221,589,theory(equality)])).
% cnf(658,negated_conjecture,(ssList(esk8_2(esk50_0,esk52_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[657,585,theory(equality)])).
% cnf(659,negated_conjecture,(ssList(esk8_2(esk50_0,esk52_0))|$false|$false),inference(rw,[status(thm)],[658,577,theory(equality)])).
% cnf(660,negated_conjecture,(ssList(esk8_2(esk50_0,esk52_0))),inference(cn,[status(thm)],[659,theory(equality)])).
% cnf(661,negated_conjecture,(ssList(esk9_2(esk50_0,esk52_0))|~ssList(esk50_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[220,589,theory(equality)])).
% cnf(662,negated_conjecture,(ssList(esk9_2(esk50_0,esk52_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[661,585,theory(equality)])).
% cnf(663,negated_conjecture,(ssList(esk9_2(esk50_0,esk52_0))|$false|$false),inference(rw,[status(thm)],[662,577,theory(equality)])).
% cnf(664,negated_conjecture,(ssList(esk9_2(esk50_0,esk52_0))),inference(cn,[status(thm)],[663,theory(equality)])).
% cnf(725,negated_conjecture,(memberP(app(X1,esk50_0),esk52_0)|~ssList(esk50_0)|~ssList(X1)|~ssItem(esk52_0)),inference(spm,[status(thm)],[175,589,theory(equality)])).
% cnf(726,negated_conjecture,(memberP(app(X1,esk50_0),esk52_0)|$false|~ssList(X1)|~ssItem(esk52_0)),inference(rw,[status(thm)],[725,585,theory(equality)])).
% cnf(727,negated_conjecture,(memberP(app(X1,esk50_0),esk52_0)|$false|~ssList(X1)|$false),inference(rw,[status(thm)],[726,577,theory(equality)])).
% cnf(728,negated_conjecture,(memberP(app(X1,esk50_0),esk52_0)|~ssList(X1)),inference(cn,[status(thm)],[727,theory(equality)])).
% cnf(733,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)|~ssList(app(X1,X2))),inference(er,[status(thm)],[472,theory(equality)])).
% cnf(742,plain,(rearsegP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)|~ssList(app(X1,X2))),inference(er,[status(thm)],[480,theory(equality)])).
% cnf(849,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[431,276,theory(equality)])).
% cnf(851,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|$false|~ssList(X1)),inference(rw,[status(thm)],[849,121,theory(equality)])).
% cnf(852,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[851,theory(equality)])).
% cnf(859,plain,(rearsegP(app(X1,X2),nil)|~ssList(X1)|~ssList(nil)|~ssList(X2)),inference(spm,[status(thm)],[435,297,theory(equality)])).
% cnf(861,plain,(rearsegP(app(X1,X2),nil)|~ssList(X1)|$false|~ssList(X2)),inference(rw,[status(thm)],[859,121,theory(equality)])).
% cnf(862,plain,(rearsegP(app(X1,X2),nil)|~ssList(X1)|~ssList(X2)),inference(cn,[status(thm)],[861,theory(equality)])).
% cnf(953,plain,(ssList(app(X1,app(X2,X3)))|~ssList(X3)|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[280,269,theory(equality)])).
% cnf(989,negated_conjecture,(app(esk8_2(esk50_0,esk52_0),cons(esk52_0,esk9_2(esk50_0,esk52_0)))=esk50_0|~ssList(esk50_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[219,589,theory(equality)])).
% cnf(990,negated_conjecture,(app(esk8_2(esk50_0,esk52_0),cons(esk52_0,esk9_2(esk50_0,esk52_0)))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[989,585,theory(equality)])).
% cnf(991,negated_conjecture,(app(esk8_2(esk50_0,esk52_0),cons(esk52_0,esk9_2(esk50_0,esk52_0)))=esk50_0|$false|$false),inference(rw,[status(thm)],[990,577,theory(equality)])).
% cnf(992,negated_conjecture,(app(esk8_2(esk50_0,esk52_0),cons(esk52_0,esk9_2(esk50_0,esk52_0)))=esk50_0),inference(cn,[status(thm)],[991,theory(equality)])).
% cnf(1347,negated_conjecture,(ssList(esk5_2(esk51_0,esk50_0))|esk51_0=nil|~ssList(esk50_0)|~ssList(esk51_0)),inference(spm,[status(thm)],[169,627,theory(equality)])).
% cnf(1348,negated_conjecture,(ssList(esk6_2(esk51_0,esk50_0))|esk51_0=nil|~ssList(esk50_0)|~ssList(esk51_0)),inference(spm,[status(thm)],[168,627,theory(equality)])).
% cnf(1349,negated_conjecture,(app(app(esk5_2(esk51_0,esk50_0),esk50_0),esk6_2(esk51_0,esk50_0))=esk51_0|esk51_0=nil|~ssList(esk50_0)|~ssList(esk51_0)),inference(spm,[status(thm)],[167,627,theory(equality)])).
% cnf(1355,negated_conjecture,(ssList(esk5_2(esk51_0,esk50_0))|esk51_0=nil|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[1347,585,theory(equality)])).
% cnf(1356,negated_conjecture,(ssList(esk5_2(esk51_0,esk50_0))|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[1355,586,theory(equality)])).
% cnf(1357,negated_conjecture,(ssList(esk5_2(esk51_0,esk50_0))|esk51_0=nil),inference(cn,[status(thm)],[1356,theory(equality)])).
% cnf(1358,negated_conjecture,(ssList(esk6_2(esk51_0,esk50_0))|esk51_0=nil|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[1348,585,theory(equality)])).
% cnf(1359,negated_conjecture,(ssList(esk6_2(esk51_0,esk50_0))|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[1358,586,theory(equality)])).
% cnf(1360,negated_conjecture,(ssList(esk6_2(esk51_0,esk50_0))|esk51_0=nil),inference(cn,[status(thm)],[1359,theory(equality)])).
% cnf(1361,negated_conjecture,(app(app(esk5_2(esk51_0,esk50_0),esk50_0),esk6_2(esk51_0,esk50_0))=esk51_0|esk51_0=nil|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[1349,585,theory(equality)])).
% cnf(1362,negated_conjecture,(app(app(esk5_2(esk51_0,esk50_0),esk50_0),esk6_2(esk51_0,esk50_0))=esk51_0|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[1361,586,theory(equality)])).
% cnf(1363,negated_conjecture,(app(app(esk5_2(esk51_0,esk50_0),esk50_0),esk6_2(esk51_0,esk50_0))=esk51_0|esk51_0=nil),inference(cn,[status(thm)],[1362,theory(equality)])).
% cnf(1591,negated_conjecture,(memberP(app(app(X1,esk50_0),X2),esk52_0)|~ssList(X2)|~ssList(app(X1,esk50_0))|~ssItem(esk52_0)|~ssList(X1)),inference(spm,[status(thm)],[176,728,theory(equality)])).
% cnf(1607,negated_conjecture,(memberP(app(app(X1,esk50_0),X2),esk52_0)|~ssList(X2)|~ssList(app(X1,esk50_0))|$false|~ssList(X1)),inference(rw,[status(thm)],[1591,577,theory(equality)])).
% cnf(1608,negated_conjecture,(memberP(app(app(X1,esk50_0),X2),esk52_0)|~ssList(X2)|~ssList(app(X1,esk50_0))|~ssList(X1)),inference(cn,[status(thm)],[1607,theory(equality)])).
% cnf(3526,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[733,280])).
% cnf(3536,negated_conjecture,(frontsegP(esk50_0,esk8_2(esk50_0,esk52_0))|~ssList(cons(esk52_0,esk9_2(esk50_0,esk52_0)))|~ssList(esk8_2(esk50_0,esk52_0))),inference(spm,[status(thm)],[3526,992,theory(equality)])).
% cnf(3562,negated_conjecture,(frontsegP(esk50_0,esk8_2(esk50_0,esk52_0))|~ssList(cons(esk52_0,esk9_2(esk50_0,esk52_0)))|$false),inference(rw,[status(thm)],[3536,660,theory(equality)])).
% cnf(3563,negated_conjecture,(frontsegP(esk50_0,esk8_2(esk50_0,esk52_0))|~ssList(cons(esk52_0,esk9_2(esk50_0,esk52_0)))),inference(cn,[status(thm)],[3562,theory(equality)])).
% cnf(3586,negated_conjecture,(frontsegP(esk50_0,esk8_2(esk50_0,esk52_0))|~ssList(esk9_2(esk50_0,esk52_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[3563,249,theory(equality)])).
% cnf(3589,negated_conjecture,(frontsegP(esk50_0,esk8_2(esk50_0,esk52_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3586,664,theory(equality)])).
% cnf(3590,negated_conjecture,(frontsegP(esk50_0,esk8_2(esk50_0,esk52_0))|$false|$false),inference(rw,[status(thm)],[3589,577,theory(equality)])).
% cnf(3591,negated_conjecture,(frontsegP(esk50_0,esk8_2(esk50_0,esk52_0))),inference(cn,[status(thm)],[3590,theory(equality)])).
% cnf(3592,negated_conjecture,(ssList(esk21_2(esk50_0,esk8_2(esk50_0,esk52_0)))|~ssList(esk8_2(esk50_0,esk52_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[471,3591,theory(equality)])).
% cnf(3594,negated_conjecture,(app(esk8_2(esk50_0,esk52_0),esk21_2(esk50_0,esk8_2(esk50_0,esk52_0)))=esk50_0|~ssList(esk8_2(esk50_0,esk52_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[470,3591,theory(equality)])).
% cnf(3599,negated_conjecture,(ssList(esk21_2(esk50_0,esk8_2(esk50_0,esk52_0)))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[3592,660,theory(equality)])).
% cnf(3600,negated_conjecture,(ssList(esk21_2(esk50_0,esk8_2(esk50_0,esk52_0)))|$false|$false),inference(rw,[status(thm)],[3599,585,theory(equality)])).
% cnf(3601,negated_conjecture,(ssList(esk21_2(esk50_0,esk8_2(esk50_0,esk52_0)))),inference(cn,[status(thm)],[3600,theory(equality)])).
% cnf(3605,negated_conjecture,(app(esk8_2(esk50_0,esk52_0),esk21_2(esk50_0,esk8_2(esk50_0,esk52_0)))=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[3594,660,theory(equality)])).
% cnf(3606,negated_conjecture,(app(esk8_2(esk50_0,esk52_0),esk21_2(esk50_0,esk8_2(esk50_0,esk52_0)))=esk50_0|$false|$false),inference(rw,[status(thm)],[3605,585,theory(equality)])).
% cnf(3607,negated_conjecture,(app(esk8_2(esk50_0,esk52_0),esk21_2(esk50_0,esk8_2(esk50_0,esk52_0)))=esk50_0),inference(cn,[status(thm)],[3606,theory(equality)])).
% cnf(3617,plain,(rearsegP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)),inference(csr,[status(thm)],[742,280])).
% cnf(4822,negated_conjecture,(frontsegP(esk50_0,nil)|~ssList(esk21_2(esk50_0,esk8_2(esk50_0,esk52_0)))|~ssList(esk8_2(esk50_0,esk52_0))),inference(spm,[status(thm)],[852,3607,theory(equality)])).
% cnf(4859,negated_conjecture,(frontsegP(esk50_0,nil)|$false|~ssList(esk8_2(esk50_0,esk52_0))),inference(rw,[status(thm)],[4822,3601,theory(equality)])).
% cnf(4860,negated_conjecture,(frontsegP(esk50_0,nil)|$false|$false),inference(rw,[status(thm)],[4859,660,theory(equality)])).
% cnf(4861,negated_conjecture,(frontsegP(esk50_0,nil)),inference(cn,[status(thm)],[4860,theory(equality)])).
% cnf(4881,negated_conjecture,(ssList(esk21_2(esk50_0,nil))|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[471,4861,theory(equality)])).
% cnf(4883,negated_conjecture,(app(nil,esk21_2(esk50_0,nil))=esk50_0|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[470,4861,theory(equality)])).
% cnf(4887,negated_conjecture,(ssList(esk21_2(esk50_0,nil))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[4881,121,theory(equality)])).
% cnf(4888,negated_conjecture,(ssList(esk21_2(esk50_0,nil))|$false|$false),inference(rw,[status(thm)],[4887,585,theory(equality)])).
% cnf(4889,negated_conjecture,(ssList(esk21_2(esk50_0,nil))),inference(cn,[status(thm)],[4888,theory(equality)])).
% cnf(4893,negated_conjecture,(app(nil,esk21_2(esk50_0,nil))=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[4883,121,theory(equality)])).
% cnf(4894,negated_conjecture,(app(nil,esk21_2(esk50_0,nil))=esk50_0|$false|$false),inference(rw,[status(thm)],[4893,585,theory(equality)])).
% cnf(4895,negated_conjecture,(app(nil,esk21_2(esk50_0,nil))=esk50_0),inference(cn,[status(thm)],[4894,theory(equality)])).
% cnf(4924,negated_conjecture,(esk50_0=esk21_2(esk50_0,nil)|~ssList(esk21_2(esk50_0,nil))),inference(spm,[status(thm)],[189,4895,theory(equality)])).
% cnf(4983,negated_conjecture,(esk50_0=esk21_2(esk50_0,nil)|$false),inference(rw,[status(thm)],[4924,4889,theory(equality)])).
% cnf(4984,negated_conjecture,(esk50_0=esk21_2(esk50_0,nil)),inference(cn,[status(thm)],[4983,theory(equality)])).
% cnf(5000,negated_conjecture,(app(nil,esk50_0)=esk50_0),inference(rw,[status(thm)],[4895,4984,theory(equality)])).
% cnf(5024,negated_conjecture,(segmentP(X1,esk50_0)|app(esk50_0,X2)!=X1|~ssList(X2)|~ssList(nil)|~ssList(esk50_0)|~ssList(X1)),inference(spm,[status(thm)],[170,5000,theory(equality)])).
% cnf(5070,negated_conjecture,(segmentP(X1,esk50_0)|app(esk50_0,X2)!=X1|~ssList(X2)|$false|~ssList(esk50_0)|~ssList(X1)),inference(rw,[status(thm)],[5024,121,theory(equality)])).
% cnf(5071,negated_conjecture,(segmentP(X1,esk50_0)|app(esk50_0,X2)!=X1|~ssList(X2)|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[5070,585,theory(equality)])).
% cnf(5072,negated_conjecture,(segmentP(X1,esk50_0)|app(esk50_0,X2)!=X1|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[5071,theory(equality)])).
% cnf(5958,negated_conjecture,(segmentP(X1,esk50_0)|esk50_0!=X1|~ssList(nil)|~ssList(X1)|~ssList(esk50_0)),inference(spm,[status(thm)],[5072,199,theory(equality)])).
% cnf(5959,negated_conjecture,(segmentP(X1,esk50_0)|esk50_0!=X1|$false|~ssList(X1)|~ssList(esk50_0)),inference(rw,[status(thm)],[5958,121,theory(equality)])).
% cnf(5960,negated_conjecture,(segmentP(X1,esk50_0)|esk50_0!=X1|$false|~ssList(X1)|$false),inference(rw,[status(thm)],[5959,585,theory(equality)])).
% cnf(5961,negated_conjecture,(segmentP(X1,esk50_0)|esk50_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[5960,theory(equality)])).
% cnf(5962,negated_conjecture,(segmentP(esk50_0,esk50_0)|~ssList(esk50_0)),inference(er,[status(thm)],[5961,theory(equality)])).
% cnf(5963,negated_conjecture,(segmentP(esk50_0,esk50_0)|$false),inference(rw,[status(thm)],[5962,585,theory(equality)])).
% cnf(5964,negated_conjecture,(segmentP(esk50_0,esk50_0)),inference(cn,[status(thm)],[5963,theory(equality)])).
% cnf(5965,negated_conjecture,(ssList(esk5_2(esk50_0,esk50_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[169,5964,theory(equality)])).
% cnf(5966,negated_conjecture,(ssList(esk6_2(esk50_0,esk50_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[168,5964,theory(equality)])).
% cnf(5967,negated_conjecture,(app(app(esk5_2(esk50_0,esk50_0),esk50_0),esk6_2(esk50_0,esk50_0))=esk50_0|~ssList(esk50_0)),inference(spm,[status(thm)],[167,5964,theory(equality)])).
% cnf(5970,negated_conjecture,(ssList(esk5_2(esk50_0,esk50_0))|$false),inference(rw,[status(thm)],[5965,585,theory(equality)])).
% cnf(5971,negated_conjecture,(ssList(esk5_2(esk50_0,esk50_0))),inference(cn,[status(thm)],[5970,theory(equality)])).
% cnf(5972,negated_conjecture,(ssList(esk6_2(esk50_0,esk50_0))|$false),inference(rw,[status(thm)],[5966,585,theory(equality)])).
% cnf(5973,negated_conjecture,(ssList(esk6_2(esk50_0,esk50_0))),inference(cn,[status(thm)],[5972,theory(equality)])).
% cnf(5974,negated_conjecture,(app(app(esk5_2(esk50_0,esk50_0),esk50_0),esk6_2(esk50_0,esk50_0))=esk50_0|$false),inference(rw,[status(thm)],[5967,585,theory(equality)])).
% cnf(5975,negated_conjecture,(app(app(esk5_2(esk50_0,esk50_0),esk50_0),esk6_2(esk50_0,esk50_0))=esk50_0),inference(cn,[status(thm)],[5974,theory(equality)])).
% cnf(5988,negated_conjecture,(rearsegP(esk50_0,esk6_2(esk50_0,esk50_0))|~ssList(app(esk5_2(esk50_0,esk50_0),esk50_0))|~ssList(esk6_2(esk50_0,esk50_0))),inference(spm,[status(thm)],[3617,5975,theory(equality)])).
% cnf(6019,negated_conjecture,(rearsegP(esk50_0,esk6_2(esk50_0,esk50_0))|~ssList(app(esk5_2(esk50_0,esk50_0),esk50_0))|$false),inference(rw,[status(thm)],[5988,5973,theory(equality)])).
% cnf(6020,negated_conjecture,(rearsegP(esk50_0,esk6_2(esk50_0,esk50_0))|~ssList(app(esk5_2(esk50_0,esk50_0),esk50_0))),inference(cn,[status(thm)],[6019,theory(equality)])).
% cnf(6060,negated_conjecture,(rearsegP(esk50_0,esk6_2(esk50_0,esk50_0))|~ssList(esk50_0)|~ssList(esk5_2(esk50_0,esk50_0))),inference(spm,[status(thm)],[6020,280,theory(equality)])).
% cnf(6061,negated_conjecture,(rearsegP(esk50_0,esk6_2(esk50_0,esk50_0))|$false|~ssList(esk5_2(esk50_0,esk50_0))),inference(rw,[status(thm)],[6060,585,theory(equality)])).
% cnf(6062,negated_conjecture,(rearsegP(esk50_0,esk6_2(esk50_0,esk50_0))|$false|$false),inference(rw,[status(thm)],[6061,5971,theory(equality)])).
% cnf(6063,negated_conjecture,(rearsegP(esk50_0,esk6_2(esk50_0,esk50_0))),inference(cn,[status(thm)],[6062,theory(equality)])).
% cnf(6064,negated_conjecture,(ssList(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)))|~ssList(esk6_2(esk50_0,esk50_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[479,6063,theory(equality)])).
% cnf(6065,negated_conjecture,(app(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)),esk6_2(esk50_0,esk50_0))=esk50_0|~ssList(esk6_2(esk50_0,esk50_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[478,6063,theory(equality)])).
% cnf(6070,negated_conjecture,(ssList(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[6064,5973,theory(equality)])).
% cnf(6071,negated_conjecture,(ssList(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)))|$false|$false),inference(rw,[status(thm)],[6070,585,theory(equality)])).
% cnf(6072,negated_conjecture,(ssList(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)))),inference(cn,[status(thm)],[6071,theory(equality)])).
% cnf(6073,negated_conjecture,(app(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)),esk6_2(esk50_0,esk50_0))=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[6065,5973,theory(equality)])).
% cnf(6074,negated_conjecture,(app(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)),esk6_2(esk50_0,esk50_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[6073,585,theory(equality)])).
% cnf(6075,negated_conjecture,(app(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)),esk6_2(esk50_0,esk50_0))=esk50_0),inference(cn,[status(thm)],[6074,theory(equality)])).
% cnf(6090,negated_conjecture,(frontsegP(esk50_0,esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)))|~ssList(esk6_2(esk50_0,esk50_0))|~ssList(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)))),inference(spm,[status(thm)],[3526,6075,theory(equality)])).
% cnf(6123,negated_conjecture,(frontsegP(esk50_0,esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)))|$false|~ssList(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)))),inference(rw,[status(thm)],[6090,5973,theory(equality)])).
% cnf(6124,negated_conjecture,(frontsegP(esk50_0,esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)))|$false|$false),inference(rw,[status(thm)],[6123,6072,theory(equality)])).
% cnf(6125,negated_conjecture,(frontsegP(esk50_0,esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)))),inference(cn,[status(thm)],[6124,theory(equality)])).
% cnf(6178,negated_conjecture,(ssList(esk21_2(esk50_0,esk22_2(esk50_0,esk6_2(esk50_0,esk50_0))))|~ssList(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)))|~ssList(esk50_0)),inference(spm,[status(thm)],[471,6125,theory(equality)])).
% cnf(6180,negated_conjecture,(app(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)),esk21_2(esk50_0,esk22_2(esk50_0,esk6_2(esk50_0,esk50_0))))=esk50_0|~ssList(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)))|~ssList(esk50_0)),inference(spm,[status(thm)],[470,6125,theory(equality)])).
% cnf(6183,negated_conjecture,(ssList(esk21_2(esk50_0,esk22_2(esk50_0,esk6_2(esk50_0,esk50_0))))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[6178,6072,theory(equality)])).
% cnf(6184,negated_conjecture,(ssList(esk21_2(esk50_0,esk22_2(esk50_0,esk6_2(esk50_0,esk50_0))))|$false|$false),inference(rw,[status(thm)],[6183,585,theory(equality)])).
% cnf(6185,negated_conjecture,(ssList(esk21_2(esk50_0,esk22_2(esk50_0,esk6_2(esk50_0,esk50_0))))),inference(cn,[status(thm)],[6184,theory(equality)])).
% cnf(6189,negated_conjecture,(app(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)),esk21_2(esk50_0,esk22_2(esk50_0,esk6_2(esk50_0,esk50_0))))=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[6180,6072,theory(equality)])).
% cnf(6190,negated_conjecture,(app(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)),esk21_2(esk50_0,esk22_2(esk50_0,esk6_2(esk50_0,esk50_0))))=esk50_0|$false|$false),inference(rw,[status(thm)],[6189,585,theory(equality)])).
% cnf(6191,negated_conjecture,(app(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)),esk21_2(esk50_0,esk22_2(esk50_0,esk6_2(esk50_0,esk50_0))))=esk50_0),inference(cn,[status(thm)],[6190,theory(equality)])).
% cnf(8333,negated_conjecture,(rearsegP(esk50_0,nil)|~ssList(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)))|~ssList(esk21_2(esk50_0,esk22_2(esk50_0,esk6_2(esk50_0,esk50_0))))),inference(spm,[status(thm)],[862,6191,theory(equality)])).
% cnf(8377,negated_conjecture,(rearsegP(esk50_0,nil)|$false|~ssList(esk21_2(esk50_0,esk22_2(esk50_0,esk6_2(esk50_0,esk50_0))))),inference(rw,[status(thm)],[8333,6072,theory(equality)])).
% cnf(8378,negated_conjecture,(rearsegP(esk50_0,nil)|$false|$false),inference(rw,[status(thm)],[8377,6185,theory(equality)])).
% cnf(8379,negated_conjecture,(rearsegP(esk50_0,nil)),inference(cn,[status(thm)],[8378,theory(equality)])).
% cnf(8420,negated_conjecture,(ssList(esk22_2(esk50_0,nil))|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[479,8379,theory(equality)])).
% cnf(8421,negated_conjecture,(app(esk22_2(esk50_0,nil),nil)=esk50_0|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[478,8379,theory(equality)])).
% cnf(8425,negated_conjecture,(ssList(esk22_2(esk50_0,nil))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[8420,121,theory(equality)])).
% cnf(8426,negated_conjecture,(ssList(esk22_2(esk50_0,nil))|$false|$false),inference(rw,[status(thm)],[8425,585,theory(equality)])).
% cnf(8427,negated_conjecture,(ssList(esk22_2(esk50_0,nil))),inference(cn,[status(thm)],[8426,theory(equality)])).
% cnf(8428,negated_conjecture,(app(esk22_2(esk50_0,nil),nil)=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[8421,121,theory(equality)])).
% cnf(8429,negated_conjecture,(app(esk22_2(esk50_0,nil),nil)=esk50_0|$false|$false),inference(rw,[status(thm)],[8428,585,theory(equality)])).
% cnf(8430,negated_conjecture,(app(esk22_2(esk50_0,nil),nil)=esk50_0),inference(cn,[status(thm)],[8429,theory(equality)])).
% cnf(8497,negated_conjecture,(esk50_0=esk22_2(esk50_0,nil)|~ssList(esk22_2(esk50_0,nil))),inference(spm,[status(thm)],[199,8430,theory(equality)])).
% cnf(8586,negated_conjecture,(esk50_0=esk22_2(esk50_0,nil)|$false),inference(rw,[status(thm)],[8497,8427,theory(equality)])).
% cnf(8587,negated_conjecture,(esk50_0=esk22_2(esk50_0,nil)),inference(cn,[status(thm)],[8586,theory(equality)])).
% cnf(8605,negated_conjecture,(app(esk50_0,nil)=esk50_0),inference(rw,[status(thm)],[8430,8587,theory(equality)])).
% cnf(16193,plain,(ssList(app(X1,app(X2,X3)))|~ssList(X2)|~ssList(X1)|~ssList(X3)),inference(csr,[status(thm)],[953,280])).
% cnf(16196,negated_conjecture,(ssList(app(X1,esk50_0))|~ssList(nil)|~ssList(esk50_0)|~ssList(X1)),inference(spm,[status(thm)],[16193,8605,theory(equality)])).
% cnf(16257,negated_conjecture,(ssList(app(X1,esk50_0))|$false|~ssList(esk50_0)|~ssList(X1)),inference(rw,[status(thm)],[16196,121,theory(equality)])).
% cnf(16258,negated_conjecture,(ssList(app(X1,esk50_0))|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[16257,585,theory(equality)])).
% cnf(16259,negated_conjecture,(ssList(app(X1,esk50_0))|~ssList(X1)),inference(cn,[status(thm)],[16258,theory(equality)])).
% cnf(51822,negated_conjecture,(memberP(app(app(X1,esk50_0),X2),esk52_0)|~ssList(X1)|~ssList(X2)),inference(csr,[status(thm)],[1608,16259])).
% cnf(51848,negated_conjecture,(memberP(esk51_0,esk52_0)|esk51_0=nil|~ssList(esk6_2(esk51_0,esk50_0))|~ssList(esk5_2(esk51_0,esk50_0))),inference(spm,[status(thm)],[51822,1363,theory(equality)])).
% cnf(51900,negated_conjecture,(esk51_0=nil|~ssList(esk6_2(esk51_0,esk50_0))|~ssList(esk5_2(esk51_0,esk50_0))),inference(sr,[status(thm)],[51848,584,theory(equality)])).
% cnf(51907,negated_conjecture,(esk51_0=nil|~ssList(esk6_2(esk51_0,esk50_0))),inference(csr,[status(thm)],[51900,1357])).
% cnf(51908,negated_conjecture,(esk51_0=nil),inference(csr,[status(thm)],[51907,1360])).
% cnf(53096,negated_conjecture,(~memberP(nil,esk52_0)),inference(rw,[status(thm)],[584,51908,theory(equality)])).
% cnf(53098,negated_conjecture,(esk50_0=nil|$false),inference(rw,[status(thm)],[574,51908,theory(equality)])).
% cnf(53099,negated_conjecture,(esk50_0=nil),inference(cn,[status(thm)],[53098,theory(equality)])).
% cnf(53889,negated_conjecture,(memberP(nil,esk52_0)),inference(rw,[status(thm)],[589,53099,theory(equality)])).
% cnf(53892,negated_conjecture,($false),inference(sr,[status(thm)],[53889,53096,theory(equality)])).
% cnf(53893,negated_conjecture,($false),53892,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 4681
% # ...of these trivial : 33
% # ...subsumed : 2796
% # ...remaining for further processing: 1852
% # Other redundant clauses eliminated : 771
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 107
% # Backward-rewritten : 1111
% # Generated clauses : 22351
% # ...of the previous two non-trivial : 19321
% # Contextual simplify-reflections : 3100
% # Paramodulations : 21343
% # Factorizations : 0
% # Equation resolutions : 1008
% # Current number of processed clauses: 627
% # Positive orientable unit clauses: 23
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 3
% # Non-unit-clauses : 601
% # Current number of unprocessed clauses: 7285
% # ...number of literals in the above : 64029
% # Clause-clause subsumption calls (NU) : 160652
% # Rec. Clause-clause subsumption calls : 58221
% # Unit Clause-clause subsumption calls : 2284
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 66
% # Indexed BW rewrite successes : 45
% # Backwards rewriting index: 557 leaves, 1.56+/-1.314 terms/leaf
% # Paramod-from index: 211 leaves, 1.01+/-0.097 terms/leaf
% # Paramod-into index: 362 leaves, 1.43+/-1.258 terms/leaf
% # -------------------------------------------------
% # User time : 1.548 s
% # System time : 0.056 s
% # Total time : 1.604 s
% # Maximum resident set size: 0 pages
% PrfWatch: 2.54 CPU 2.65 WC
% FINAL PrfWatch: 2.54 CPU 2.65 WC
% SZS output end Solution for /tmp/SystemOnTPTP31137/SWC393+1.tptp
%
%------------------------------------------------------------------------------