%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC394+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art04.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Thu Dec 30 08:02:18 EST 2010
% Result : Theorem 3.69s
% Output : Solution 3.69s
% 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/SystemOnTPTP30117/SWC394+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP30117/SWC394+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP30117/SWC394+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 30213
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.030 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 1.92 CPU 2.02 WC
% # SZS output start CNFRefutation.
% fof(4, axiom,ssList(nil),file('/tmp/SRASS.s.p', ax17)).
% fof(5, axiom,![X1]:(ssItem(X1)=>~(memberP(nil,X1))),file('/tmp/SRASS.s.p', ax38)).
% 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=X4)|~(nil=X3))&(~(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=X4)|~(nil=X3))&(~(neq(X3,nil))|~(segmentP(X4,X3)))))))))),inference(assume_negation,[status(cth)],[96])).
% fof(98, plain,![X1]:(ssItem(X1)=>~(memberP(nil,X1))),inference(fof_simplification,[status(thm)],[5,theory(equality)])).
% 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=X4)|~(nil=X3))&(~(neq(X3,nil))|~(segmentP(X4,X3)))))))))),inference(fof_simplification,[status(thm)],[97,theory(equality)])).
% cnf(121,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[4])).
% fof(122, plain,![X1]:(~(ssItem(X1))|~(memberP(nil,X1))),inference(fof_nnf,[status(thm)],[98])).
% fof(123, plain,![X2]:(~(ssItem(X2))|~(memberP(nil,X2))),inference(variable_rename,[status(thm)],[122])).
% cnf(124,plain,(~memberP(nil,X1)|~ssItem(X1)),inference(split_conjunct,[status(thm)],[123])).
% 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=X4&nil=X3)|(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=X9&nil=X8)|(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=esk51_0&nil=esk50_0)|(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)))))&(((neq(esk50_0,nil)|nil=esk51_0)&(segmentP(esk51_0,esk50_0)|nil=esk51_0))&((neq(esk50_0,nil)|nil=esk50_0)&(segmentP(esk51_0,esk50_0)|nil=esk50_0)))))))),inference(distribute,[status(thm)],[570])).
% cnf(572,negated_conjecture,(nil=esk50_0|segmentP(esk51_0,esk50_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(576,negated_conjecture,(~memberP(esk49_0,esk52_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(577,negated_conjecture,(memberP(esk48_0,esk52_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(578,negated_conjecture,(ssItem(esk52_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(579,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(580,negated_conjecture,(esk49_0=esk51_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(583,negated_conjecture,(ssList(esk49_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(584,negated_conjecture,(ssList(esk48_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(585,negated_conjecture,(~memberP(esk51_0,esk52_0)),inference(rw,[status(thm)],[576,580,theory(equality)])).
% cnf(586,negated_conjecture,(ssList(esk50_0)),inference(rw,[status(thm)],[584,579,theory(equality)])).
% cnf(587,negated_conjecture,(ssList(esk51_0)),inference(rw,[status(thm)],[583,580,theory(equality)])).
% cnf(590,negated_conjecture,(memberP(esk50_0,esk52_0)),inference(rw,[status(thm)],[577,579,theory(equality)])).
% cnf(622,negated_conjecture,(ssList(esk5_2(esk51_0,esk50_0))|esk50_0=nil|~ssList(esk50_0)|~ssList(esk51_0)),inference(spm,[status(thm)],[169,572,theory(equality)])).
% cnf(626,negated_conjecture,(ssList(esk5_2(esk51_0,esk50_0))|esk50_0=nil|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[622,586,theory(equality)])).
% cnf(627,negated_conjecture,(ssList(esk5_2(esk51_0,esk50_0))|esk50_0=nil|$false|$false),inference(rw,[status(thm)],[626,587,theory(equality)])).
% cnf(628,negated_conjecture,(ssList(esk5_2(esk51_0,esk50_0))|esk50_0=nil),inference(cn,[status(thm)],[627,theory(equality)])).
% cnf(634,negated_conjecture,(ssList(esk6_2(esk51_0,esk50_0))|esk50_0=nil|~ssList(esk50_0)|~ssList(esk51_0)),inference(spm,[status(thm)],[168,572,theory(equality)])).
% cnf(638,negated_conjecture,(ssList(esk6_2(esk51_0,esk50_0))|esk50_0=nil|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[634,586,theory(equality)])).
% cnf(639,negated_conjecture,(ssList(esk6_2(esk51_0,esk50_0))|esk50_0=nil|$false|$false),inference(rw,[status(thm)],[638,587,theory(equality)])).
% cnf(640,negated_conjecture,(ssList(esk6_2(esk51_0,esk50_0))|esk50_0=nil),inference(cn,[status(thm)],[639,theory(equality)])).
% cnf(646,negated_conjecture,(ssList(esk8_2(esk50_0,esk52_0))|~ssList(esk50_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[221,590,theory(equality)])).
% cnf(647,negated_conjecture,(ssList(esk8_2(esk50_0,esk52_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[646,586,theory(equality)])).
% cnf(648,negated_conjecture,(ssList(esk8_2(esk50_0,esk52_0))|$false|$false),inference(rw,[status(thm)],[647,578,theory(equality)])).
% cnf(649,negated_conjecture,(ssList(esk8_2(esk50_0,esk52_0))),inference(cn,[status(thm)],[648,theory(equality)])).
% cnf(650,negated_conjecture,(ssList(esk9_2(esk50_0,esk52_0))|~ssList(esk50_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[220,590,theory(equality)])).
% cnf(651,negated_conjecture,(ssList(esk9_2(esk50_0,esk52_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[650,586,theory(equality)])).
% cnf(652,negated_conjecture,(ssList(esk9_2(esk50_0,esk52_0))|$false|$false),inference(rw,[status(thm)],[651,578,theory(equality)])).
% cnf(653,negated_conjecture,(ssList(esk9_2(esk50_0,esk52_0))),inference(cn,[status(thm)],[652,theory(equality)])).
% cnf(748,negated_conjecture,(memberP(app(X1,esk50_0),esk52_0)|~ssList(esk50_0)|~ssList(X1)|~ssItem(esk52_0)),inference(spm,[status(thm)],[175,590,theory(equality)])).
% cnf(749,negated_conjecture,(memberP(app(X1,esk50_0),esk52_0)|$false|~ssList(X1)|~ssItem(esk52_0)),inference(rw,[status(thm)],[748,586,theory(equality)])).
% cnf(750,negated_conjecture,(memberP(app(X1,esk50_0),esk52_0)|$false|~ssList(X1)|$false),inference(rw,[status(thm)],[749,578,theory(equality)])).
% cnf(751,negated_conjecture,(memberP(app(X1,esk50_0),esk52_0)|~ssList(X1)),inference(cn,[status(thm)],[750,theory(equality)])).
% cnf(756,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)|~ssList(app(X1,X2))),inference(er,[status(thm)],[472,theory(equality)])).
% cnf(765,plain,(rearsegP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)|~ssList(app(X1,X2))),inference(er,[status(thm)],[480,theory(equality)])).
% cnf(857,plain,(segmentP(app(app(X1,X2),X3),X2)|~ssList(X3)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X3))),inference(er,[status(thm)],[170,theory(equality)])).
% cnf(878,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[431,276,theory(equality)])).
% cnf(880,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|$false|~ssList(X1)),inference(rw,[status(thm)],[878,121,theory(equality)])).
% cnf(881,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[880,theory(equality)])).
% cnf(882,plain,(rearsegP(app(X1,X2),nil)|~ssList(X1)|~ssList(nil)|~ssList(X2)),inference(spm,[status(thm)],[435,297,theory(equality)])).
% cnf(884,plain,(rearsegP(app(X1,X2),nil)|~ssList(X1)|$false|~ssList(X2)),inference(rw,[status(thm)],[882,121,theory(equality)])).
% cnf(885,plain,(rearsegP(app(X1,X2),nil)|~ssList(X1)|~ssList(X2)),inference(cn,[status(thm)],[884,theory(equality)])).
% cnf(984,plain,(ssList(app(X1,app(X2,X3)))|~ssList(X3)|~ssList(app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[280,269,theory(equality)])).
% cnf(1020,negated_conjecture,(app(esk8_2(esk50_0,esk52_0),cons(esk52_0,esk9_2(esk50_0,esk52_0)))=esk50_0|~ssList(esk50_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[219,590,theory(equality)])).
% cnf(1021,negated_conjecture,(app(esk8_2(esk50_0,esk52_0),cons(esk52_0,esk9_2(esk50_0,esk52_0)))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1020,586,theory(equality)])).
% cnf(1022,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)],[1021,578,theory(equality)])).
% cnf(1023,negated_conjecture,(app(esk8_2(esk50_0,esk52_0),cons(esk52_0,esk9_2(esk50_0,esk52_0)))=esk50_0),inference(cn,[status(thm)],[1022,theory(equality)])).
% cnf(1025,negated_conjecture,(app(app(esk5_2(esk51_0,esk50_0),esk50_0),esk6_2(esk51_0,esk50_0))=esk51_0|esk50_0=nil|~ssList(esk50_0)|~ssList(esk51_0)),inference(spm,[status(thm)],[167,572,theory(equality)])).
% cnf(1029,negated_conjecture,(app(app(esk5_2(esk51_0,esk50_0),esk50_0),esk6_2(esk51_0,esk50_0))=esk51_0|esk50_0=nil|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[1025,586,theory(equality)])).
% cnf(1030,negated_conjecture,(app(app(esk5_2(esk51_0,esk50_0),esk50_0),esk6_2(esk51_0,esk50_0))=esk51_0|esk50_0=nil|$false|$false),inference(rw,[status(thm)],[1029,587,theory(equality)])).
% cnf(1031,negated_conjecture,(app(app(esk5_2(esk51_0,esk50_0),esk50_0),esk6_2(esk51_0,esk50_0))=esk51_0|esk50_0=nil),inference(cn,[status(thm)],[1030,theory(equality)])).
% cnf(1601,negated_conjecture,(memberP(app(app(X1,esk50_0),X2),esk52_0)|~ssList(X2)|~ssList(app(X1,esk50_0))|~ssItem(esk52_0)|~ssList(X1)),inference(spm,[status(thm)],[176,751,theory(equality)])).
% cnf(1617,negated_conjecture,(memberP(app(app(X1,esk50_0),X2),esk52_0)|~ssList(X2)|~ssList(app(X1,esk50_0))|$false|~ssList(X1)),inference(rw,[status(thm)],[1601,578,theory(equality)])).
% cnf(1618,negated_conjecture,(memberP(app(app(X1,esk50_0),X2),esk52_0)|~ssList(X2)|~ssList(app(X1,esk50_0))|~ssList(X1)),inference(cn,[status(thm)],[1617,theory(equality)])).
% cnf(3557,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[756,280])).
% cnf(3567,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)],[3557,1023,theory(equality)])).
% cnf(3594,negated_conjecture,(frontsegP(esk50_0,esk8_2(esk50_0,esk52_0))|~ssList(cons(esk52_0,esk9_2(esk50_0,esk52_0)))|$false),inference(rw,[status(thm)],[3567,649,theory(equality)])).
% cnf(3595,negated_conjecture,(frontsegP(esk50_0,esk8_2(esk50_0,esk52_0))|~ssList(cons(esk52_0,esk9_2(esk50_0,esk52_0)))),inference(cn,[status(thm)],[3594,theory(equality)])).
% cnf(3622,negated_conjecture,(frontsegP(esk50_0,esk8_2(esk50_0,esk52_0))|~ssList(esk9_2(esk50_0,esk52_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[3595,249,theory(equality)])).
% cnf(3625,negated_conjecture,(frontsegP(esk50_0,esk8_2(esk50_0,esk52_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3622,653,theory(equality)])).
% cnf(3626,negated_conjecture,(frontsegP(esk50_0,esk8_2(esk50_0,esk52_0))|$false|$false),inference(rw,[status(thm)],[3625,578,theory(equality)])).
% cnf(3627,negated_conjecture,(frontsegP(esk50_0,esk8_2(esk50_0,esk52_0))),inference(cn,[status(thm)],[3626,theory(equality)])).
% cnf(3628,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)],[471,3627,theory(equality)])).
% cnf(3630,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)],[470,3627,theory(equality)])).
% cnf(3635,negated_conjecture,(ssList(esk21_2(esk50_0,esk8_2(esk50_0,esk52_0)))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[3628,649,theory(equality)])).
% cnf(3636,negated_conjecture,(ssList(esk21_2(esk50_0,esk8_2(esk50_0,esk52_0)))|$false|$false),inference(rw,[status(thm)],[3635,586,theory(equality)])).
% cnf(3637,negated_conjecture,(ssList(esk21_2(esk50_0,esk8_2(esk50_0,esk52_0)))),inference(cn,[status(thm)],[3636,theory(equality)])).
% cnf(3641,negated_conjecture,(app(esk8_2(esk50_0,esk52_0),esk21_2(esk50_0,esk8_2(esk50_0,esk52_0)))=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[3630,649,theory(equality)])).
% cnf(3642,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)],[3641,586,theory(equality)])).
% cnf(3643,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)],[3642,theory(equality)])).
% cnf(3650,plain,(rearsegP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)),inference(csr,[status(thm)],[765,280])).
% cnf(4706,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)],[881,3643,theory(equality)])).
% cnf(4744,negated_conjecture,(frontsegP(esk50_0,nil)|$false|~ssList(esk8_2(esk50_0,esk52_0))),inference(rw,[status(thm)],[4706,3637,theory(equality)])).
% cnf(4745,negated_conjecture,(frontsegP(esk50_0,nil)|$false|$false),inference(rw,[status(thm)],[4744,649,theory(equality)])).
% cnf(4746,negated_conjecture,(frontsegP(esk50_0,nil)),inference(cn,[status(thm)],[4745,theory(equality)])).
% cnf(4864,negated_conjecture,(ssList(esk21_2(esk50_0,nil))|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[471,4746,theory(equality)])).
% cnf(4866,negated_conjecture,(app(nil,esk21_2(esk50_0,nil))=esk50_0|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[470,4746,theory(equality)])).
% cnf(4870,negated_conjecture,(ssList(esk21_2(esk50_0,nil))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[4864,121,theory(equality)])).
% cnf(4871,negated_conjecture,(ssList(esk21_2(esk50_0,nil))|$false|$false),inference(rw,[status(thm)],[4870,586,theory(equality)])).
% cnf(4872,negated_conjecture,(ssList(esk21_2(esk50_0,nil))),inference(cn,[status(thm)],[4871,theory(equality)])).
% cnf(4876,negated_conjecture,(app(nil,esk21_2(esk50_0,nil))=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[4866,121,theory(equality)])).
% cnf(4877,negated_conjecture,(app(nil,esk21_2(esk50_0,nil))=esk50_0|$false|$false),inference(rw,[status(thm)],[4876,586,theory(equality)])).
% cnf(4878,negated_conjecture,(app(nil,esk21_2(esk50_0,nil))=esk50_0),inference(cn,[status(thm)],[4877,theory(equality)])).
% cnf(4907,negated_conjecture,(esk50_0=esk21_2(esk50_0,nil)|~ssList(esk21_2(esk50_0,nil))),inference(spm,[status(thm)],[189,4878,theory(equality)])).
% cnf(4966,negated_conjecture,(esk50_0=esk21_2(esk50_0,nil)|$false),inference(rw,[status(thm)],[4907,4872,theory(equality)])).
% cnf(4967,negated_conjecture,(esk50_0=esk21_2(esk50_0,nil)),inference(cn,[status(thm)],[4966,theory(equality)])).
% cnf(4983,negated_conjecture,(app(nil,esk50_0)=esk50_0),inference(rw,[status(thm)],[4878,4967,theory(equality)])).
% cnf(7085,negated_conjecture,(segmentP(app(esk50_0,X1),esk50_0)|~ssList(app(esk50_0,X1))|~ssList(X1)|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[857,4983,theory(equality)])).
% cnf(7126,negated_conjecture,(segmentP(app(esk50_0,X1),esk50_0)|~ssList(app(esk50_0,X1))|~ssList(X1)|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[7085,121,theory(equality)])).
% cnf(7127,negated_conjecture,(segmentP(app(esk50_0,X1),esk50_0)|~ssList(app(esk50_0,X1))|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[7126,586,theory(equality)])).
% cnf(7128,negated_conjecture,(segmentP(app(esk50_0,X1),esk50_0)|~ssList(app(esk50_0,X1))|~ssList(X1)),inference(cn,[status(thm)],[7127,theory(equality)])).
% cnf(7159,negated_conjecture,(segmentP(esk50_0,esk50_0)|~ssList(esk50_0)|~ssList(nil)),inference(spm,[status(thm)],[7128,199,theory(equality)])).
% cnf(7161,negated_conjecture,(segmentP(esk50_0,esk50_0)|$false|~ssList(nil)),inference(rw,[status(thm)],[7159,586,theory(equality)])).
% cnf(7162,negated_conjecture,(segmentP(esk50_0,esk50_0)|$false|$false),inference(rw,[status(thm)],[7161,121,theory(equality)])).
% cnf(7163,negated_conjecture,(segmentP(esk50_0,esk50_0)),inference(cn,[status(thm)],[7162,theory(equality)])).
% cnf(7166,negated_conjecture,(ssList(esk5_2(esk50_0,esk50_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[169,7163,theory(equality)])).
% cnf(7167,negated_conjecture,(ssList(esk6_2(esk50_0,esk50_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[168,7163,theory(equality)])).
% cnf(7168,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)],[167,7163,theory(equality)])).
% cnf(7171,negated_conjecture,(ssList(esk5_2(esk50_0,esk50_0))|$false),inference(rw,[status(thm)],[7166,586,theory(equality)])).
% cnf(7172,negated_conjecture,(ssList(esk5_2(esk50_0,esk50_0))),inference(cn,[status(thm)],[7171,theory(equality)])).
% cnf(7173,negated_conjecture,(ssList(esk6_2(esk50_0,esk50_0))|$false),inference(rw,[status(thm)],[7167,586,theory(equality)])).
% cnf(7174,negated_conjecture,(ssList(esk6_2(esk50_0,esk50_0))),inference(cn,[status(thm)],[7173,theory(equality)])).
% cnf(7175,negated_conjecture,(app(app(esk5_2(esk50_0,esk50_0),esk50_0),esk6_2(esk50_0,esk50_0))=esk50_0|$false),inference(rw,[status(thm)],[7168,586,theory(equality)])).
% cnf(7176,negated_conjecture,(app(app(esk5_2(esk50_0,esk50_0),esk50_0),esk6_2(esk50_0,esk50_0))=esk50_0),inference(cn,[status(thm)],[7175,theory(equality)])).
% cnf(7210,negated_conjecture,(rearsegP(esk50_0,esk6_2(esk50_0,esk50_0))|~ssList(app(esk5_2(esk50_0,esk50_0),esk50_0))|~ssList(esk6_2(esk50_0,esk50_0))),inference(spm,[status(thm)],[3650,7176,theory(equality)])).
% cnf(7246,negated_conjecture,(rearsegP(esk50_0,esk6_2(esk50_0,esk50_0))|~ssList(app(esk5_2(esk50_0,esk50_0),esk50_0))|$false),inference(rw,[status(thm)],[7210,7174,theory(equality)])).
% cnf(7247,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)],[7246,theory(equality)])).
% cnf(7332,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)],[7247,280,theory(equality)])).
% cnf(7333,negated_conjecture,(rearsegP(esk50_0,esk6_2(esk50_0,esk50_0))|$false|~ssList(esk5_2(esk50_0,esk50_0))),inference(rw,[status(thm)],[7332,586,theory(equality)])).
% cnf(7334,negated_conjecture,(rearsegP(esk50_0,esk6_2(esk50_0,esk50_0))|$false|$false),inference(rw,[status(thm)],[7333,7172,theory(equality)])).
% cnf(7335,negated_conjecture,(rearsegP(esk50_0,esk6_2(esk50_0,esk50_0))),inference(cn,[status(thm)],[7334,theory(equality)])).
% cnf(7336,negated_conjecture,(ssList(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)))|~ssList(esk6_2(esk50_0,esk50_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[479,7335,theory(equality)])).
% cnf(7337,negated_conjecture,(app(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)),esk6_2(esk50_0,esk50_0))=esk50_0|~ssList(esk6_2(esk50_0,esk50_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[478,7335,theory(equality)])).
% cnf(7342,negated_conjecture,(ssList(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[7336,7174,theory(equality)])).
% cnf(7343,negated_conjecture,(ssList(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)))|$false|$false),inference(rw,[status(thm)],[7342,586,theory(equality)])).
% cnf(7344,negated_conjecture,(ssList(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)))),inference(cn,[status(thm)],[7343,theory(equality)])).
% cnf(7345,negated_conjecture,(app(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)),esk6_2(esk50_0,esk50_0))=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[7337,7174,theory(equality)])).
% cnf(7346,negated_conjecture,(app(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)),esk6_2(esk50_0,esk50_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[7345,586,theory(equality)])).
% cnf(7347,negated_conjecture,(app(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)),esk6_2(esk50_0,esk50_0))=esk50_0),inference(cn,[status(thm)],[7346,theory(equality)])).
% cnf(8464,negated_conjecture,(rearsegP(esk50_0,nil)|~ssList(esk22_2(esk50_0,esk6_2(esk50_0,esk50_0)))|~ssList(esk6_2(esk50_0,esk50_0))),inference(spm,[status(thm)],[885,7347,theory(equality)])).
% cnf(8511,negated_conjecture,(rearsegP(esk50_0,nil)|$false|~ssList(esk6_2(esk50_0,esk50_0))),inference(rw,[status(thm)],[8464,7344,theory(equality)])).
% cnf(8512,negated_conjecture,(rearsegP(esk50_0,nil)|$false|$false),inference(rw,[status(thm)],[8511,7174,theory(equality)])).
% cnf(8513,negated_conjecture,(rearsegP(esk50_0,nil)),inference(cn,[status(thm)],[8512,theory(equality)])).
% cnf(8601,negated_conjecture,(ssList(esk22_2(esk50_0,nil))|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[479,8513,theory(equality)])).
% cnf(8602,negated_conjecture,(app(esk22_2(esk50_0,nil),nil)=esk50_0|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[478,8513,theory(equality)])).
% cnf(8606,negated_conjecture,(ssList(esk22_2(esk50_0,nil))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[8601,121,theory(equality)])).
% cnf(8607,negated_conjecture,(ssList(esk22_2(esk50_0,nil))|$false|$false),inference(rw,[status(thm)],[8606,586,theory(equality)])).
% cnf(8608,negated_conjecture,(ssList(esk22_2(esk50_0,nil))),inference(cn,[status(thm)],[8607,theory(equality)])).
% cnf(8609,negated_conjecture,(app(esk22_2(esk50_0,nil),nil)=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[8602,121,theory(equality)])).
% cnf(8610,negated_conjecture,(app(esk22_2(esk50_0,nil),nil)=esk50_0|$false|$false),inference(rw,[status(thm)],[8609,586,theory(equality)])).
% cnf(8611,negated_conjecture,(app(esk22_2(esk50_0,nil),nil)=esk50_0),inference(cn,[status(thm)],[8610,theory(equality)])).
% cnf(8701,negated_conjecture,(esk50_0=esk22_2(esk50_0,nil)|~ssList(esk22_2(esk50_0,nil))),inference(spm,[status(thm)],[199,8611,theory(equality)])).
% cnf(8788,negated_conjecture,(esk50_0=esk22_2(esk50_0,nil)|$false),inference(rw,[status(thm)],[8701,8608,theory(equality)])).
% cnf(8789,negated_conjecture,(esk50_0=esk22_2(esk50_0,nil)),inference(cn,[status(thm)],[8788,theory(equality)])).
% cnf(8801,negated_conjecture,(app(esk50_0,nil)=esk50_0),inference(rw,[status(thm)],[8611,8789,theory(equality)])).
% cnf(16204,plain,(ssList(app(X1,app(X2,X3)))|~ssList(X2)|~ssList(X1)|~ssList(X3)),inference(csr,[status(thm)],[984,280])).
% cnf(16209,negated_conjecture,(ssList(app(X1,esk50_0))|~ssList(nil)|~ssList(esk50_0)|~ssList(X1)),inference(spm,[status(thm)],[16204,8801,theory(equality)])).
% cnf(16277,negated_conjecture,(ssList(app(X1,esk50_0))|$false|~ssList(esk50_0)|~ssList(X1)),inference(rw,[status(thm)],[16209,121,theory(equality)])).
% cnf(16278,negated_conjecture,(ssList(app(X1,esk50_0))|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[16277,586,theory(equality)])).
% cnf(16279,negated_conjecture,(ssList(app(X1,esk50_0))|~ssList(X1)),inference(cn,[status(thm)],[16278,theory(equality)])).
% cnf(53986,negated_conjecture,(memberP(app(app(X1,esk50_0),X2),esk52_0)|~ssList(X1)|~ssList(X2)),inference(csr,[status(thm)],[1618,16279])).
% cnf(54015,negated_conjecture,(memberP(esk51_0,esk52_0)|esk50_0=nil|~ssList(esk6_2(esk51_0,esk50_0))|~ssList(esk5_2(esk51_0,esk50_0))),inference(spm,[status(thm)],[53986,1031,theory(equality)])).
% cnf(54075,negated_conjecture,(esk50_0=nil|~ssList(esk6_2(esk51_0,esk50_0))|~ssList(esk5_2(esk51_0,esk50_0))),inference(sr,[status(thm)],[54015,585,theory(equality)])).
% cnf(54094,negated_conjecture,(esk50_0=nil|~ssList(esk6_2(esk51_0,esk50_0))),inference(csr,[status(thm)],[54075,628])).
% cnf(54095,negated_conjecture,(esk50_0=nil),inference(csr,[status(thm)],[54094,640])).
% cnf(55709,negated_conjecture,(memberP(nil,esk52_0)),inference(rw,[status(thm)],[590,54095,theory(equality)])).
% cnf(55719,negated_conjecture,(~ssItem(esk52_0)),inference(spm,[status(thm)],[124,55709,theory(equality)])).
% cnf(55741,negated_conjecture,($false),inference(rw,[status(thm)],[55719,578,theory(equality)])).
% cnf(55742,negated_conjecture,($false),inference(cn,[status(thm)],[55741,theory(equality)])).
% cnf(55743,negated_conjecture,($false),55742,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 4695
% # ...of these trivial : 32
% # ...subsumed : 2833
% # ...remaining for further processing: 1830
% # Other redundant clauses eliminated : 767
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 106
% # Backward-rewritten : 923
% # Generated clauses : 23217
% # ...of the previous two non-trivial : 20103
% # Contextual simplify-reflections : 3397
% # Paramodulations : 22206
% # Factorizations : 0
% # Equation resolutions : 1011
% # Current number of processed clauses: 795
% # Positive orientable unit clauses: 24
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 3
% # Non-unit-clauses : 768
% # Current number of unprocessed clauses: 8845
% # ...number of literals in the above : 75139
% # Clause-clause subsumption calls (NU) : 172356
% # Rec. Clause-clause subsumption calls : 57507
% # Unit Clause-clause subsumption calls : 3140
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 45
% # Indexed BW rewrite successes : 37
% # Backwards rewriting index: 742 leaves, 1.43+/-1.164 terms/leaf
% # Paramod-from index: 313 leaves, 1.03+/-0.167 terms/leaf
% # Paramod-into index: 539 leaves, 1.30+/-1.052 terms/leaf
% # -------------------------------------------------
% # User time : 1.567 s
% # System time : 0.052 s
% # Total time : 1.619 s
% # Maximum resident set size: 0 pages
% PrfWatch: 2.58 CPU 2.70 WC
% FINAL PrfWatch: 2.58 CPU 2.70 WC
% SZS output end Solution for /tmp/SystemOnTPTP30117/SWC394+1.tptp
%
%------------------------------------------------------------------------------