%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC065+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Thu Dec 30 07:01:35 EST 2010
% Result : Theorem 1.82s
% Output : Solution 1.82s
% 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/SystemOnTPTP18988/SWC065+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP18988/SWC065+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP18988/SWC065+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 19120
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time : 0.030 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(3, 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(5, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(neq(X1,X2)<=>~(X1=X2)))),file('/tmp/SRASS.s.p', ax15)).
% fof(7, axiom,ssList(nil),file('/tmp/SRASS.s.p', ax17)).
% fof(12, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>ssList(app(X1,X2)))),file('/tmp/SRASS.s.p', ax26)).
% fof(14, axiom,![X1]:(ssList(X1)=>app(nil,X1)=X1),file('/tmp/SRASS.s.p', ax28)).
% fof(17, axiom,![X1]:(ssList(X1)=>segmentP(X1,X1)),file('/tmp/SRASS.s.p', ax55)).
% fof(18, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(ssList(X4)=>(segmentP(X1,X2)=>segmentP(app(app(X3,X1),X4),X2)))))),file('/tmp/SRASS.s.p', ax56)).
% fof(20, axiom,![X1]:(ssList(X1)=>(segmentP(nil,X1)<=>nil=X1)),file('/tmp/SRASS.s.p', ax58)).
% fof(24, 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(26, 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(27, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(nil=app(X1,X2)<=>(nil=X2&nil=X1)))),file('/tmp/SRASS.s.p', ax83)).
% fof(28, axiom,![X1]:(ssList(X1)=>app(X1,nil)=X1),file('/tmp/SRASS.s.p', ax84)).
% fof(46, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(frontsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X2,X3)=X1)))),file('/tmp/SRASS.s.p', ax5)).
% fof(50, axiom,![X1]:(ssList(X1)=>(frontsegP(nil,X1)<=>nil=X1)),file('/tmp/SRASS.s.p', ax46)).
% fof(96, conjecture,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(ssList(X4)=>((((~(X2=X4)|~(X1=X3))|![X5]:(ssList(X5)=>((~(app(X3,X5)=X4)|~(equalelemsP(X3)))|?[X6]:(ssItem(X6)&?[X7]:((ssList(X7)&app(cons(X6,nil),X7)=X5)&?[X8]:(ssList(X8)&app(X8,cons(X6,nil))=X3))))))|(~(nil=X4)&nil=X3))|((~(nil=X2)|nil=X1)&(~(neq(X2,nil))|?[X9]:(((ssList(X9)&neq(X9,nil))&segmentP(X2,X9))&segmentP(X1,X9))))))))),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)=>((~(app(X3,X5)=X4)|~(equalelemsP(X3)))|?[X6]:(ssItem(X6)&?[X7]:((ssList(X7)&app(cons(X6,nil),X7)=X5)&?[X8]:(ssList(X8)&app(X8,cons(X6,nil))=X3))))))|(~(nil=X4)&nil=X3))|((~(nil=X2)|nil=X1)&(~(neq(X2,nil))|?[X9]:(((ssList(X9)&neq(X9,nil))&segmentP(X2,X9))&segmentP(X1,X9)))))))))),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)=>((~(app(X3,X5)=X4)|~(equalelemsP(X3)))|?[X6]:(ssItem(X6)&?[X7]:((ssList(X7)&app(cons(X6,nil),X7)=X5)&?[X8]:(ssList(X8)&app(X8,cons(X6,nil))=X3))))))|(~(nil=X4)&nil=X3))|((~(nil=X2)|nil=X1)&(~(neq(X2,nil))|?[X9]:(((ssList(X9)&neq(X9,nil))&segmentP(X2,X9))&segmentP(X1,X9)))))))))),inference(fof_simplification,[status(thm)],[97,theory(equality)])).
% fof(115, 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)],[3])).
% fof(116, 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)],[115])).
% fof(117, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|((~(segmentP(X5,X6))|(ssList(esk3_2(X5,X6))&(ssList(esk4_2(X5,X6))&app(app(esk3_2(X5,X6),X6),esk4_2(X5,X6))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(app(X9,X6),X10)=X5)))|segmentP(X5,X6))))),inference(skolemize,[status(esa)],[116])).
% fof(118, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(app(X9,X6),X10)=X5))|~(ssList(X9)))|segmentP(X5,X6))&(~(segmentP(X5,X6))|(ssList(esk3_2(X5,X6))&(ssList(esk4_2(X5,X6))&app(app(esk3_2(X5,X6),X6),esk4_2(X5,X6))=X5))))|~(ssList(X6)))|~(ssList(X5))),inference(shift_quantors,[status(thm)],[117])).
% fof(119, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(app(X9,X6),X10)=X5))|~(ssList(X9)))|segmentP(X5,X6))|~(ssList(X6)))|~(ssList(X5)))&((((ssList(esk3_2(X5,X6))|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))&((((ssList(esk4_2(X5,X6))|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))&(((app(app(esk3_2(X5,X6),X6),esk4_2(X5,X6))=X5|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))))),inference(distribute,[status(thm)],[118])).
% cnf(120,plain,(app(app(esk3_2(X1,X2),X2),esk4_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~segmentP(X1,X2)),inference(split_conjunct,[status(thm)],[119])).
% cnf(121,plain,(ssList(esk4_2(X1,X2))|~ssList(X1)|~ssList(X2)|~segmentP(X1,X2)),inference(split_conjunct,[status(thm)],[119])).
% cnf(122,plain,(ssList(esk3_2(X1,X2))|~ssList(X1)|~ssList(X2)|~segmentP(X1,X2)),inference(split_conjunct,[status(thm)],[119])).
% cnf(123,plain,(segmentP(X1,X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|app(app(X3,X2),X4)!=X1|~ssList(X4)),inference(split_conjunct,[status(thm)],[119])).
% fof(136, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(neq(X1,X2))|~(X1=X2))&(X1=X2|neq(X1,X2))))),inference(fof_nnf,[status(thm)],[5])).
% fof(137, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))),inference(variable_rename,[status(thm)],[136])).
% fof(138, plain,![X3]:![X4]:((~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[137])).
% fof(139, 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)],[138])).
% cnf(140,plain,(neq(X1,X2)|X1=X2|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[139])).
% cnf(141,plain,(~ssList(X1)|~ssList(X2)|X1!=X2|~neq(X1,X2)),inference(split_conjunct,[status(thm)],[139])).
% cnf(146,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[7])).
% fof(168, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|ssList(app(X1,X2)))),inference(fof_nnf,[status(thm)],[12])).
% fof(169, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|ssList(app(X3,X4)))),inference(variable_rename,[status(thm)],[168])).
% fof(170, plain,![X3]:![X4]:((~(ssList(X4))|ssList(app(X3,X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[169])).
% cnf(171,plain,(ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[170])).
% fof(176, plain,![X1]:(~(ssList(X1))|app(nil,X1)=X1),inference(fof_nnf,[status(thm)],[14])).
% fof(177, plain,![X2]:(~(ssList(X2))|app(nil,X2)=X2),inference(variable_rename,[status(thm)],[176])).
% cnf(178,plain,(app(nil,X1)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[177])).
% fof(187, plain,![X1]:(~(ssList(X1))|segmentP(X1,X1)),inference(fof_nnf,[status(thm)],[17])).
% fof(188, plain,![X2]:(~(ssList(X2))|segmentP(X2,X2)),inference(variable_rename,[status(thm)],[187])).
% cnf(189,plain,(segmentP(X1,X1)|~ssList(X1)),inference(split_conjunct,[status(thm)],[188])).
% fof(190, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|(~(segmentP(X1,X2))|segmentP(app(app(X3,X1),X4),X2)))))),inference(fof_nnf,[status(thm)],[18])).
% fof(191, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|![X7]:(~(ssList(X7))|![X8]:(~(ssList(X8))|(~(segmentP(X5,X6))|segmentP(app(app(X7,X5),X8),X6)))))),inference(variable_rename,[status(thm)],[190])).
% fof(192, plain,![X5]:![X6]:![X7]:![X8]:((((~(ssList(X8))|(~(segmentP(X5,X6))|segmentP(app(app(X7,X5),X8),X6)))|~(ssList(X7)))|~(ssList(X6)))|~(ssList(X5))),inference(shift_quantors,[status(thm)],[191])).
% cnf(193,plain,(segmentP(app(app(X3,X1),X4),X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~segmentP(X1,X2)|~ssList(X4)),inference(split_conjunct,[status(thm)],[192])).
% fof(197, plain,![X1]:(~(ssList(X1))|((~(segmentP(nil,X1))|nil=X1)&(~(nil=X1)|segmentP(nil,X1)))),inference(fof_nnf,[status(thm)],[20])).
% fof(198, plain,![X2]:(~(ssList(X2))|((~(segmentP(nil,X2))|nil=X2)&(~(nil=X2)|segmentP(nil,X2)))),inference(variable_rename,[status(thm)],[197])).
% fof(199, plain,![X2]:(((~(segmentP(nil,X2))|nil=X2)|~(ssList(X2)))&((~(nil=X2)|segmentP(nil,X2))|~(ssList(X2)))),inference(distribute,[status(thm)],[198])).
% cnf(200,plain,(segmentP(nil,X1)|~ssList(X1)|nil!=X1),inference(split_conjunct,[status(thm)],[199])).
% fof(210, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X2,X3)=app(X2,X1))|X3=X1)))),inference(fof_nnf,[status(thm)],[24])).
% fof(211, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4)))),inference(variable_rename,[status(thm)],[210])).
% fof(212, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[211])).
% cnf(213,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X2,X3)!=app(X2,X1)|~ssList(X3)),inference(split_conjunct,[status(thm)],[212])).
% fof(218, 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)],[26])).
% fof(219, 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)],[218])).
% fof(220, 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)],[219])).
% cnf(221,plain,(app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X1)|~ssList(X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[220])).
% fof(222, 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)],[27])).
% fof(223, 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)],[222])).
% fof(224, 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)],[223])).
% fof(225, 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)],[224])).
% cnf(227,plain,(nil=X1|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[225])).
% cnf(228,plain,(nil=X2|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[225])).
% fof(229, plain,![X1]:(~(ssList(X1))|app(X1,nil)=X1),inference(fof_nnf,[status(thm)],[28])).
% fof(230, plain,![X2]:(~(ssList(X2))|app(X2,nil)=X2),inference(variable_rename,[status(thm)],[229])).
% cnf(231,plain,(app(X1,nil)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[230])).
% fof(319, 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)],[46])).
% fof(320, 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)],[319])).
% fof(321, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(frontsegP(X4,X5))|(ssList(esk20_2(X4,X5))&app(X5,esk20_2(X4,X5))=X4))&(![X7]:(~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))))),inference(skolemize,[status(esa)],[320])).
% fof(322, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))&(~(frontsegP(X4,X5))|(ssList(esk20_2(X4,X5))&app(X5,esk20_2(X4,X5))=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[321])).
% fof(323, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk20_2(X4,X5))|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(X5,esk20_2(X4,X5))=X4|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[322])).
% cnf(324,plain,(app(X2,esk20_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[323])).
% cnf(325,plain,(ssList(esk20_2(X1,X2))|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[323])).
% fof(345, plain,![X1]:(~(ssList(X1))|((~(frontsegP(nil,X1))|nil=X1)&(~(nil=X1)|frontsegP(nil,X1)))),inference(fof_nnf,[status(thm)],[50])).
% fof(346, plain,![X2]:(~(ssList(X2))|((~(frontsegP(nil,X2))|nil=X2)&(~(nil=X2)|frontsegP(nil,X2)))),inference(variable_rename,[status(thm)],[345])).
% fof(347, plain,![X2]:(((~(frontsegP(nil,X2))|nil=X2)|~(ssList(X2)))&((~(nil=X2)|frontsegP(nil,X2))|~(ssList(X2)))),inference(distribute,[status(thm)],[346])).
% cnf(348,plain,(frontsegP(nil,X1)|~ssList(X1)|nil!=X1),inference(split_conjunct,[status(thm)],[347])).
% fof(568, negated_conjecture,?[X1]:(ssList(X1)&?[X2]:(ssList(X2)&?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&((((X2=X4&X1=X3)&?[X5]:(ssList(X5)&((app(X3,X5)=X4&equalelemsP(X3))&![X6]:(~(ssItem(X6))|![X7]:((~(ssList(X7))|~(app(cons(X6,nil),X7)=X5))|![X8]:(~(ssList(X8))|~(app(X8,cons(X6,nil))=X3)))))))&(nil=X4|~(nil=X3)))&((nil=X2&~(nil=X1))|(neq(X2,nil)&![X9]:(((~(ssList(X9))|~(neq(X9,nil)))|~(segmentP(X2,X9)))|~(segmentP(X1,X9)))))))))),inference(fof_nnf,[status(thm)],[103])).
% fof(569, negated_conjecture,?[X10]:(ssList(X10)&?[X11]:(ssList(X11)&?[X12]:(ssList(X12)&?[X13]:(ssList(X13)&((((X11=X13&X10=X12)&?[X14]:(ssList(X14)&((app(X12,X14)=X13&equalelemsP(X12))&![X15]:(~(ssItem(X15))|![X16]:((~(ssList(X16))|~(app(cons(X15,nil),X16)=X14))|![X17]:(~(ssList(X17))|~(app(X17,cons(X15,nil))=X12)))))))&(nil=X13|~(nil=X12)))&((nil=X11&~(nil=X10))|(neq(X11,nil)&![X18]:(((~(ssList(X18))|~(neq(X18,nil)))|~(segmentP(X11,X18)))|~(segmentP(X10,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)&((app(esk50_0,esk52_0)=esk51_0&equalelemsP(esk50_0))&![X15]:(~(ssItem(X15))|![X16]:((~(ssList(X16))|~(app(cons(X15,nil),X16)=esk52_0))|![X17]:(~(ssList(X17))|~(app(X17,cons(X15,nil))=esk50_0)))))))&(nil=esk51_0|~(nil=esk50_0)))&((nil=esk49_0&~(nil=esk48_0))|(neq(esk49_0,nil)&![X18]:(((~(ssList(X18))|~(neq(X18,nil)))|~(segmentP(esk49_0,X18)))|~(segmentP(esk48_0,X18)))))))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,![X15]:![X16]:![X17]:![X18]:((((((((((~(ssList(X18))|~(neq(X18,nil)))|~(segmentP(esk49_0,X18)))|~(segmentP(esk48_0,X18)))&neq(esk49_0,nil))|(nil=esk49_0&~(nil=esk48_0)))&(((((((~(ssList(X17))|~(app(X17,cons(X15,nil))=esk50_0))|(~(ssList(X16))|~(app(cons(X15,nil),X16)=esk52_0)))|~(ssItem(X15)))&(app(esk50_0,esk52_0)=esk51_0&equalelemsP(esk50_0)))&ssList(esk52_0))&(esk49_0=esk51_0&esk48_0=esk50_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])).
% fof(572, negated_conjecture,![X15]:![X16]:![X17]:![X18]:((((((((nil=esk49_0|(((~(ssList(X18))|~(neq(X18,nil)))|~(segmentP(esk49_0,X18)))|~(segmentP(esk48_0,X18))))&(~(nil=esk48_0)|(((~(ssList(X18))|~(neq(X18,nil)))|~(segmentP(esk49_0,X18)))|~(segmentP(esk48_0,X18)))))&((nil=esk49_0|neq(esk49_0,nil))&(~(nil=esk48_0)|neq(esk49_0,nil))))&(((((((~(ssList(X17))|~(app(X17,cons(X15,nil))=esk50_0))|(~(ssList(X16))|~(app(cons(X15,nil),X16)=esk52_0)))|~(ssItem(X15)))&(app(esk50_0,esk52_0)=esk51_0&equalelemsP(esk50_0)))&ssList(esk52_0))&(esk49_0=esk51_0&esk48_0=esk50_0))&(nil=esk51_0|~(nil=esk50_0))))&ssList(esk51_0))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(distribute,[status(thm)],[571])).
% cnf(573,negated_conjecture,(ssList(esk48_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(574,negated_conjecture,(ssList(esk49_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(577,negated_conjecture,(nil=esk51_0|nil!=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(578,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(579,negated_conjecture,(esk49_0=esk51_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(580,negated_conjecture,(ssList(esk52_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(582,negated_conjecture,(app(esk50_0,esk52_0)=esk51_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(584,negated_conjecture,(neq(esk49_0,nil)|nil!=esk48_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(587,negated_conjecture,(nil=esk49_0|~segmentP(esk48_0,X1)|~segmentP(esk49_0,X1)|~neq(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[572])).
% cnf(591,negated_conjecture,(esk49_0=nil|esk50_0!=nil),inference(rw,[status(thm)],[577,579,theory(equality)])).
% cnf(592,negated_conjecture,(esk49_0=nil|esk48_0!=nil),inference(rw,[status(thm)],[591,578,theory(equality)])).
% cnf(593,negated_conjecture,(app(esk48_0,esk52_0)=esk51_0),inference(rw,[status(thm)],[582,578,theory(equality)])).
% cnf(594,negated_conjecture,(app(esk48_0,esk52_0)=esk49_0),inference(rw,[status(thm)],[593,579,theory(equality)])).
% cnf(595,plain,(segmentP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[200,theory(equality)])).
% cnf(596,plain,(segmentP(nil,nil)|$false),inference(rw,[status(thm)],[595,146,theory(equality)])).
% cnf(597,plain,(segmentP(nil,nil)),inference(cn,[status(thm)],[596,theory(equality)])).
% cnf(599,negated_conjecture,(esk49_0=nil|~segmentP(esk49_0,esk48_0)|~ssList(esk48_0)|~neq(esk48_0,nil)),inference(spm,[status(thm)],[587,189,theory(equality)])).
% cnf(603,negated_conjecture,(esk49_0=nil|~segmentP(esk49_0,esk48_0)|$false|~neq(esk48_0,nil)),inference(rw,[status(thm)],[599,573,theory(equality)])).
% cnf(604,negated_conjecture,(esk49_0=nil|~segmentP(esk49_0,esk48_0)|~neq(esk48_0,nil)),inference(cn,[status(thm)],[603,theory(equality)])).
% cnf(605,plain,(frontsegP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[348,theory(equality)])).
% cnf(606,plain,(frontsegP(nil,nil)|$false),inference(rw,[status(thm)],[605,146,theory(equality)])).
% cnf(607,plain,(frontsegP(nil,nil)),inference(cn,[status(thm)],[606,theory(equality)])).
% cnf(639,plain,(~ssList(X1)|~neq(X1,X1)),inference(er,[status(thm)],[141,theory(equality)])).
% cnf(724,negated_conjecture,(X1=esk52_0|app(esk48_0,X1)!=esk49_0|~ssList(esk52_0)|~ssList(esk48_0)|~ssList(X1)),inference(spm,[status(thm)],[213,594,theory(equality)])).
% cnf(732,negated_conjecture,(X1=esk52_0|app(esk48_0,X1)!=esk49_0|$false|~ssList(esk48_0)|~ssList(X1)),inference(rw,[status(thm)],[724,580,theory(equality)])).
% cnf(733,negated_conjecture,(X1=esk52_0|app(esk48_0,X1)!=esk49_0|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[732,573,theory(equality)])).
% cnf(734,negated_conjecture,(X1=esk52_0|app(esk48_0,X1)!=esk49_0|~ssList(X1)),inference(cn,[status(thm)],[733,theory(equality)])).
% cnf(848,plain,(segmentP(X1,X2)|app(X2,X3)!=X1|~ssList(X3)|~ssList(nil)|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[123,178,theory(equality)])).
% cnf(855,plain,(segmentP(X1,X2)|app(X2,X3)!=X1|~ssList(X3)|$false|~ssList(X2)|~ssList(X1)),inference(rw,[status(thm)],[848,146,theory(equality)])).
% cnf(856,plain,(segmentP(X1,X2)|app(X2,X3)!=X1|~ssList(X3)|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[855,theory(equality)])).
% cnf(904,negated_conjecture,(app(esk49_0,X1)=app(esk48_0,app(esk52_0,X1))|~ssList(X1)|~ssList(esk52_0)|~ssList(esk48_0)),inference(spm,[status(thm)],[221,594,theory(equality)])).
% cnf(910,negated_conjecture,(app(esk49_0,X1)=app(esk48_0,app(esk52_0,X1))|~ssList(X1)|$false|~ssList(esk48_0)),inference(rw,[status(thm)],[904,580,theory(equality)])).
% cnf(911,negated_conjecture,(app(esk49_0,X1)=app(esk48_0,app(esk52_0,X1))|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[910,573,theory(equality)])).
% cnf(912,negated_conjecture,(app(esk49_0,X1)=app(esk48_0,app(esk52_0,X1))|~ssList(X1)),inference(cn,[status(thm)],[911,theory(equality)])).
% cnf(1374,plain,(ssList(esk3_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[122,597,theory(equality)])).
% cnf(1375,plain,(ssList(esk4_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[121,597,theory(equality)])).
% cnf(1376,plain,(app(app(esk3_2(nil,nil),nil),esk4_2(nil,nil))=nil|~ssList(nil)),inference(spm,[status(thm)],[120,597,theory(equality)])).
% cnf(1378,plain,(segmentP(app(app(X1,nil),X2),nil)|~ssList(X2)|~ssList(X1)|~ssList(nil)),inference(spm,[status(thm)],[193,597,theory(equality)])).
% cnf(1379,plain,(ssList(esk3_2(nil,nil))|$false),inference(rw,[status(thm)],[1374,146,theory(equality)])).
% cnf(1380,plain,(ssList(esk3_2(nil,nil))),inference(cn,[status(thm)],[1379,theory(equality)])).
% cnf(1381,plain,(ssList(esk4_2(nil,nil))|$false),inference(rw,[status(thm)],[1375,146,theory(equality)])).
% cnf(1382,plain,(ssList(esk4_2(nil,nil))),inference(cn,[status(thm)],[1381,theory(equality)])).
% cnf(1383,plain,(app(app(esk3_2(nil,nil),nil),esk4_2(nil,nil))=nil|$false),inference(rw,[status(thm)],[1376,146,theory(equality)])).
% cnf(1384,plain,(app(app(esk3_2(nil,nil),nil),esk4_2(nil,nil))=nil),inference(cn,[status(thm)],[1383,theory(equality)])).
% cnf(1387,plain,(segmentP(app(app(X1,nil),X2),nil)|~ssList(X2)|~ssList(X1)|$false),inference(rw,[status(thm)],[1378,146,theory(equality)])).
% cnf(1388,plain,(segmentP(app(app(X1,nil),X2),nil)|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[1387,theory(equality)])).
% cnf(1392,plain,(ssList(esk20_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[325,607,theory(equality)])).
% cnf(1393,plain,(app(nil,esk20_2(nil,nil))=nil|~ssList(nil)),inference(spm,[status(thm)],[324,607,theory(equality)])).
% cnf(1396,plain,(ssList(esk20_2(nil,nil))|$false),inference(rw,[status(thm)],[1392,146,theory(equality)])).
% cnf(1397,plain,(ssList(esk20_2(nil,nil))),inference(cn,[status(thm)],[1396,theory(equality)])).
% cnf(1398,plain,(app(nil,esk20_2(nil,nil))=nil|$false),inference(rw,[status(thm)],[1393,146,theory(equality)])).
% cnf(1399,plain,(app(nil,esk20_2(nil,nil))=nil),inference(cn,[status(thm)],[1398,theory(equality)])).
% cnf(1423,plain,(nil=esk20_2(nil,nil)|~ssList(esk20_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[228,1399,theory(equality)])).
% cnf(1450,plain,(nil=esk20_2(nil,nil)|$false|~ssList(nil)),inference(rw,[status(thm)],[1423,1397,theory(equality)])).
% cnf(1451,plain,(nil=esk20_2(nil,nil)|$false|$false),inference(rw,[status(thm)],[1450,146,theory(equality)])).
% cnf(1452,plain,(nil=esk20_2(nil,nil)),inference(cn,[status(thm)],[1451,theory(equality)])).
% cnf(1464,plain,(app(nil,nil)=nil),inference(rw,[status(thm)],[1399,1452,theory(equality)])).
% cnf(1565,plain,(nil=esk4_2(nil,nil)|~ssList(esk4_2(nil,nil))|~ssList(app(esk3_2(nil,nil),nil))),inference(spm,[status(thm)],[228,1384,theory(equality)])).
% cnf(1593,plain,(nil=esk4_2(nil,nil)|$false|~ssList(app(esk3_2(nil,nil),nil))),inference(rw,[status(thm)],[1565,1382,theory(equality)])).
% cnf(1594,plain,(nil=esk4_2(nil,nil)|~ssList(app(esk3_2(nil,nil),nil))),inference(cn,[status(thm)],[1593,theory(equality)])).
% cnf(1611,plain,(esk4_2(nil,nil)=nil|~ssList(esk3_2(nil,nil))),inference(spm,[status(thm)],[1594,231,theory(equality)])).
% cnf(1613,plain,(esk4_2(nil,nil)=nil|$false),inference(rw,[status(thm)],[1611,1380,theory(equality)])).
% cnf(1614,plain,(esk4_2(nil,nil)=nil),inference(cn,[status(thm)],[1613,theory(equality)])).
% cnf(1875,negated_conjecture,(app(esk52_0,X1)=esk52_0|app(esk49_0,X1)!=esk49_0|~ssList(app(esk52_0,X1))|~ssList(X1)),inference(spm,[status(thm)],[734,912,theory(equality)])).
% cnf(1876,negated_conjecture,(app(esk48_0,esk52_0)=app(esk49_0,nil)|~ssList(nil)|~ssList(esk52_0)),inference(spm,[status(thm)],[912,231,theory(equality)])).
% cnf(1905,negated_conjecture,(esk49_0=app(esk49_0,nil)|~ssList(nil)|~ssList(esk52_0)),inference(rw,[status(thm)],[1876,594,theory(equality)])).
% cnf(1906,negated_conjecture,(esk49_0=app(esk49_0,nil)|$false|~ssList(esk52_0)),inference(rw,[status(thm)],[1905,146,theory(equality)])).
% cnf(1907,negated_conjecture,(esk49_0=app(esk49_0,nil)|$false|$false),inference(rw,[status(thm)],[1906,580,theory(equality)])).
% cnf(1908,negated_conjecture,(esk49_0=app(esk49_0,nil)),inference(cn,[status(thm)],[1907,theory(equality)])).
% cnf(2178,negated_conjecture,(app(esk52_0,nil)=esk52_0|~ssList(app(esk52_0,nil))|~ssList(nil)|~ssList(esk49_0)),inference(spm,[status(thm)],[1875,231,theory(equality)])).
% cnf(2181,negated_conjecture,(app(esk52_0,nil)=esk52_0|~ssList(app(esk52_0,nil))|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[2178,146,theory(equality)])).
% cnf(2182,negated_conjecture,(app(esk52_0,nil)=esk52_0|~ssList(app(esk52_0,nil))|$false|$false),inference(rw,[status(thm)],[2181,574,theory(equality)])).
% cnf(2183,negated_conjecture,(app(esk52_0,nil)=esk52_0|~ssList(app(esk52_0,nil))),inference(cn,[status(thm)],[2182,theory(equality)])).
% cnf(2186,negated_conjecture,(app(esk52_0,nil)=esk52_0|~ssList(nil)|~ssList(esk52_0)),inference(spm,[status(thm)],[2183,171,theory(equality)])).
% cnf(2187,negated_conjecture,(app(esk52_0,nil)=esk52_0|$false|~ssList(esk52_0)),inference(rw,[status(thm)],[2186,146,theory(equality)])).
% cnf(2188,negated_conjecture,(app(esk52_0,nil)=esk52_0|$false|$false),inference(rw,[status(thm)],[2187,580,theory(equality)])).
% cnf(2189,negated_conjecture,(app(esk52_0,nil)=esk52_0),inference(cn,[status(thm)],[2188,theory(equality)])).
% cnf(2193,negated_conjecture,(app(esk52_0,X1)=app(esk52_0,app(nil,X1))|~ssList(X1)|~ssList(nil)|~ssList(esk52_0)),inference(spm,[status(thm)],[221,2189,theory(equality)])).
% cnf(2221,negated_conjecture,(app(esk52_0,X1)=app(esk52_0,app(nil,X1))|~ssList(X1)|$false|~ssList(esk52_0)),inference(rw,[status(thm)],[2193,146,theory(equality)])).
% cnf(2222,negated_conjecture,(app(esk52_0,X1)=app(esk52_0,app(nil,X1))|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[2221,580,theory(equality)])).
% cnf(2223,negated_conjecture,(app(esk52_0,X1)=app(esk52_0,app(nil,X1))|~ssList(X1)),inference(cn,[status(thm)],[2222,theory(equality)])).
% cnf(2322,negated_conjecture,(ssList(app(esk52_0,X1))|~ssList(app(nil,X1))|~ssList(esk52_0)|~ssList(X1)),inference(spm,[status(thm)],[171,2223,theory(equality)])).
% cnf(2335,negated_conjecture,(app(esk48_0,app(esk52_0,X1))=app(esk49_0,app(nil,X1))|~ssList(app(nil,X1))|~ssList(X1)),inference(spm,[status(thm)],[912,2223,theory(equality)])).
% cnf(2339,negated_conjecture,(ssList(app(esk52_0,X1))|~ssList(app(nil,X1))|$false|~ssList(X1)),inference(rw,[status(thm)],[2322,580,theory(equality)])).
% cnf(2340,negated_conjecture,(ssList(app(esk52_0,X1))|~ssList(app(nil,X1))|~ssList(X1)),inference(cn,[status(thm)],[2339,theory(equality)])).
% cnf(2378,negated_conjecture,(ssList(app(esk52_0,X1))|~ssList(X1)),inference(spm,[status(thm)],[2340,178,theory(equality)])).
% cnf(3363,negated_conjecture,(app(esk48_0,app(esk52_0,X1))=app(esk49_0,app(nil,X1))|~ssList(X1)|~ssList(nil)),inference(spm,[status(thm)],[2335,171,theory(equality)])).
% cnf(3372,negated_conjecture,(app(esk48_0,app(esk52_0,X1))=app(esk49_0,app(nil,X1))|~ssList(X1)|$false),inference(rw,[status(thm)],[3363,146,theory(equality)])).
% cnf(3373,negated_conjecture,(app(esk48_0,app(esk52_0,X1))=app(esk49_0,app(nil,X1))|~ssList(X1)),inference(cn,[status(thm)],[3372,theory(equality)])).
% cnf(3374,negated_conjecture,(nil=esk48_0|app(esk49_0,app(nil,X1))!=nil|~ssList(app(esk52_0,X1))|~ssList(esk48_0)|~ssList(X1)),inference(spm,[status(thm)],[227,3373,theory(equality)])).
% cnf(3394,negated_conjecture,(nil=esk48_0|app(esk49_0,app(nil,X1))!=nil|~ssList(app(esk52_0,X1))|$false|~ssList(X1)),inference(rw,[status(thm)],[3374,573,theory(equality)])).
% cnf(3395,negated_conjecture,(nil=esk48_0|app(esk49_0,app(nil,X1))!=nil|~ssList(app(esk52_0,X1))|~ssList(X1)),inference(cn,[status(thm)],[3394,theory(equality)])).
% cnf(3433,negated_conjecture,(esk48_0=nil|app(esk49_0,app(nil,X1))!=nil|~ssList(X1)),inference(csr,[status(thm)],[3395,2378])).
% cnf(4135,negated_conjecture,(segmentP(app(esk49_0,X1),nil)|~ssList(X1)|~ssList(esk49_0)),inference(spm,[status(thm)],[1388,1908,theory(equality)])).
% cnf(4161,negated_conjecture,(segmentP(app(esk49_0,X1),nil)|~ssList(X1)|$false),inference(rw,[status(thm)],[4135,574,theory(equality)])).
% cnf(4162,negated_conjecture,(segmentP(app(esk49_0,X1),nil)|~ssList(X1)),inference(cn,[status(thm)],[4161,theory(equality)])).
% cnf(4341,negated_conjecture,(segmentP(esk49_0,nil)|~ssList(nil)|~ssList(esk49_0)),inference(spm,[status(thm)],[4162,231,theory(equality)])).
% cnf(4356,negated_conjecture,(segmentP(esk49_0,nil)|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[4341,146,theory(equality)])).
% cnf(4357,negated_conjecture,(segmentP(esk49_0,nil)|$false|$false),inference(rw,[status(thm)],[4356,574,theory(equality)])).
% cnf(4358,negated_conjecture,(segmentP(esk49_0,nil)),inference(cn,[status(thm)],[4357,theory(equality)])).
% cnf(4362,negated_conjecture,(ssList(esk3_2(esk49_0,nil))|~ssList(nil)|~ssList(esk49_0)),inference(spm,[status(thm)],[122,4358,theory(equality)])).
% cnf(4363,negated_conjecture,(ssList(esk4_2(esk49_0,nil))|~ssList(nil)|~ssList(esk49_0)),inference(spm,[status(thm)],[121,4358,theory(equality)])).
% cnf(4364,negated_conjecture,(app(app(esk3_2(esk49_0,nil),nil),esk4_2(esk49_0,nil))=esk49_0|~ssList(nil)|~ssList(esk49_0)),inference(spm,[status(thm)],[120,4358,theory(equality)])).
% cnf(4370,negated_conjecture,(ssList(esk3_2(esk49_0,nil))|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[4362,146,theory(equality)])).
% cnf(4371,negated_conjecture,(ssList(esk3_2(esk49_0,nil))|$false|$false),inference(rw,[status(thm)],[4370,574,theory(equality)])).
% cnf(4372,negated_conjecture,(ssList(esk3_2(esk49_0,nil))),inference(cn,[status(thm)],[4371,theory(equality)])).
% cnf(4373,negated_conjecture,(ssList(esk4_2(esk49_0,nil))|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[4363,146,theory(equality)])).
% cnf(4374,negated_conjecture,(ssList(esk4_2(esk49_0,nil))|$false|$false),inference(rw,[status(thm)],[4373,574,theory(equality)])).
% cnf(4375,negated_conjecture,(ssList(esk4_2(esk49_0,nil))),inference(cn,[status(thm)],[4374,theory(equality)])).
% cnf(4376,negated_conjecture,(app(app(esk3_2(esk49_0,nil),nil),esk4_2(esk49_0,nil))=esk49_0|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[4364,146,theory(equality)])).
% cnf(4377,negated_conjecture,(app(app(esk3_2(esk49_0,nil),nil),esk4_2(esk49_0,nil))=esk49_0|$false|$false),inference(rw,[status(thm)],[4376,574,theory(equality)])).
% cnf(4378,negated_conjecture,(app(app(esk3_2(esk49_0,nil),nil),esk4_2(esk49_0,nil))=esk49_0),inference(cn,[status(thm)],[4377,theory(equality)])).
% cnf(4403,negated_conjecture,(esk49_0=app(esk3_2(esk49_0,nil),app(nil,esk4_2(esk49_0,nil)))|~ssList(esk4_2(esk49_0,nil))|~ssList(nil)|~ssList(esk3_2(esk49_0,nil))),inference(spm,[status(thm)],[221,4378,theory(equality)])).
% cnf(4406,negated_conjecture,(app(esk3_2(esk49_0,nil),esk4_2(esk49_0,nil))=esk49_0|~ssList(esk3_2(esk49_0,nil))),inference(spm,[status(thm)],[4378,231,theory(equality)])).
% cnf(4438,negated_conjecture,(esk49_0=app(esk3_2(esk49_0,nil),app(nil,esk4_2(esk49_0,nil)))|$false|~ssList(nil)|~ssList(esk3_2(esk49_0,nil))),inference(rw,[status(thm)],[4403,4375,theory(equality)])).
% cnf(4439,negated_conjecture,(esk49_0=app(esk3_2(esk49_0,nil),app(nil,esk4_2(esk49_0,nil)))|$false|$false|~ssList(esk3_2(esk49_0,nil))),inference(rw,[status(thm)],[4438,146,theory(equality)])).
% cnf(4440,negated_conjecture,(esk49_0=app(esk3_2(esk49_0,nil),app(nil,esk4_2(esk49_0,nil)))|$false|$false|$false),inference(rw,[status(thm)],[4439,4372,theory(equality)])).
% cnf(4441,negated_conjecture,(esk49_0=app(esk3_2(esk49_0,nil),app(nil,esk4_2(esk49_0,nil)))),inference(cn,[status(thm)],[4440,theory(equality)])).
% cnf(4450,negated_conjecture,(app(esk3_2(esk49_0,nil),esk4_2(esk49_0,nil))=esk49_0|$false),inference(rw,[status(thm)],[4406,4372,theory(equality)])).
% cnf(4451,negated_conjecture,(app(esk3_2(esk49_0,nil),esk4_2(esk49_0,nil))=esk49_0),inference(cn,[status(thm)],[4450,theory(equality)])).
% cnf(4559,negated_conjecture,(X1=esk4_2(esk49_0,nil)|app(esk3_2(esk49_0,nil),X1)!=esk49_0|~ssList(esk4_2(esk49_0,nil))|~ssList(esk3_2(esk49_0,nil))|~ssList(X1)),inference(spm,[status(thm)],[213,4451,theory(equality)])).
% cnf(4593,negated_conjecture,(X1=esk4_2(esk49_0,nil)|app(esk3_2(esk49_0,nil),X1)!=esk49_0|$false|~ssList(esk3_2(esk49_0,nil))|~ssList(X1)),inference(rw,[status(thm)],[4559,4375,theory(equality)])).
% cnf(4594,negated_conjecture,(X1=esk4_2(esk49_0,nil)|app(esk3_2(esk49_0,nil),X1)!=esk49_0|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[4593,4372,theory(equality)])).
% cnf(4595,negated_conjecture,(X1=esk4_2(esk49_0,nil)|app(esk3_2(esk49_0,nil),X1)!=esk49_0|~ssList(X1)),inference(cn,[status(thm)],[4594,theory(equality)])).
% cnf(6333,negated_conjecture,(app(nil,esk4_2(esk49_0,nil))=esk4_2(esk49_0,nil)|~ssList(app(nil,esk4_2(esk49_0,nil)))),inference(spm,[status(thm)],[4595,4441,theory(equality)])).
% cnf(6339,negated_conjecture,(app(nil,esk4_2(esk49_0,nil))=esk4_2(esk49_0,nil)|~ssList(esk4_2(esk49_0,nil))|~ssList(nil)),inference(spm,[status(thm)],[6333,171,theory(equality)])).
% cnf(6340,negated_conjecture,(app(nil,esk4_2(esk49_0,nil))=esk4_2(esk49_0,nil)|$false|~ssList(nil)),inference(rw,[status(thm)],[6339,4375,theory(equality)])).
% cnf(6341,negated_conjecture,(app(nil,esk4_2(esk49_0,nil))=esk4_2(esk49_0,nil)|$false|$false),inference(rw,[status(thm)],[6340,146,theory(equality)])).
% cnf(6342,negated_conjecture,(app(nil,esk4_2(esk49_0,nil))=esk4_2(esk49_0,nil)),inference(cn,[status(thm)],[6341,theory(equality)])).
% cnf(6364,negated_conjecture,(esk48_0=nil|app(esk49_0,esk4_2(esk49_0,nil))!=nil|~ssList(esk4_2(esk49_0,nil))),inference(spm,[status(thm)],[3433,6342,theory(equality)])).
% cnf(6445,negated_conjecture,(esk48_0=nil|app(esk49_0,esk4_2(esk49_0,nil))!=nil|$false),inference(rw,[status(thm)],[6364,4375,theory(equality)])).
% cnf(6446,negated_conjecture,(esk48_0=nil|app(esk49_0,esk4_2(esk49_0,nil))!=nil),inference(cn,[status(thm)],[6445,theory(equality)])).
% cnf(9511,negated_conjecture,(segmentP(X1,esk48_0)|esk49_0!=X1|~ssList(esk52_0)|~ssList(esk48_0)|~ssList(X1)),inference(spm,[status(thm)],[856,594,theory(equality)])).
% cnf(9554,negated_conjecture,(segmentP(X1,esk48_0)|esk49_0!=X1|$false|~ssList(esk48_0)|~ssList(X1)),inference(rw,[status(thm)],[9511,580,theory(equality)])).
% cnf(9555,negated_conjecture,(segmentP(X1,esk48_0)|esk49_0!=X1|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[9554,573,theory(equality)])).
% cnf(9556,negated_conjecture,(segmentP(X1,esk48_0)|esk49_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[9555,theory(equality)])).
% cnf(9873,negated_conjecture,(segmentP(esk49_0,esk48_0)|~ssList(esk49_0)),inference(er,[status(thm)],[9556,theory(equality)])).
% cnf(9874,negated_conjecture,(segmentP(esk49_0,esk48_0)|$false),inference(rw,[status(thm)],[9873,574,theory(equality)])).
% cnf(9875,negated_conjecture,(segmentP(esk49_0,esk48_0)),inference(cn,[status(thm)],[9874,theory(equality)])).
% cnf(9882,negated_conjecture,(esk49_0=nil|$false|~neq(esk48_0,nil)),inference(rw,[status(thm)],[604,9875,theory(equality)])).
% cnf(9883,negated_conjecture,(esk49_0=nil|~neq(esk48_0,nil)),inference(cn,[status(thm)],[9882,theory(equality)])).
% cnf(9903,negated_conjecture,(esk49_0=nil|esk48_0=nil|~ssList(nil)|~ssList(esk48_0)),inference(spm,[status(thm)],[9883,140,theory(equality)])).
% cnf(9904,negated_conjecture,(esk49_0=nil|esk48_0=nil|$false|~ssList(esk48_0)),inference(rw,[status(thm)],[9903,146,theory(equality)])).
% cnf(9905,negated_conjecture,(esk49_0=nil|esk48_0=nil|$false|$false),inference(rw,[status(thm)],[9904,573,theory(equality)])).
% cnf(9906,negated_conjecture,(esk49_0=nil|esk48_0=nil),inference(cn,[status(thm)],[9905,theory(equality)])).
% cnf(9907,negated_conjecture,(esk49_0=nil),inference(csr,[status(thm)],[9906,592])).
% cnf(10051,negated_conjecture,(esk48_0=nil|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6446,9907,theory(equality)]),9907,theory(equality)]),1614,theory(equality)]),1464,theory(equality)])).
% cnf(10052,negated_conjecture,(esk48_0=nil),inference(cn,[status(thm)],[10051,theory(equality)])).
% cnf(10255,negated_conjecture,(neq(nil,nil)|esk48_0!=nil),inference(rw,[status(thm)],[584,9907,theory(equality)])).
% cnf(10513,negated_conjecture,(neq(nil,nil)|$false),inference(rw,[status(thm)],[10255,10052,theory(equality)])).
% cnf(10514,negated_conjecture,(neq(nil,nil)),inference(cn,[status(thm)],[10513,theory(equality)])).
% cnf(10515,negated_conjecture,(~ssList(nil)),inference(spm,[status(thm)],[639,10514,theory(equality)])).
% cnf(10517,negated_conjecture,($false),inference(rw,[status(thm)],[10515,146,theory(equality)])).
% cnf(10518,negated_conjecture,($false),inference(cn,[status(thm)],[10517,theory(equality)])).
% cnf(10519,negated_conjecture,($false),10518,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1139
% # ...of these trivial : 21
% # ...subsumed : 405
% # ...remaining for further processing: 713
% # Other redundant clauses eliminated : 120
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 51
% # Backward-rewritten : 385
% # Generated clauses : 3611
% # ...of the previous two non-trivial : 3232
% # Contextual simplify-reflections : 331
% # Paramodulations : 3443
% # Factorizations : 0
% # Equation resolutions : 168
% # Current number of processed clauses: 271
% # Positive orientable unit clauses: 24
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 2
% # Non-unit-clauses : 245
% # Current number of unprocessed clauses: 1031
% # ...number of literals in the above : 6509
% # Clause-clause subsumption calls (NU) : 13146
% # Rec. Clause-clause subsumption calls : 9426
% # Unit Clause-clause subsumption calls : 201
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 42
% # Indexed BW rewrite successes : 28
% # Backwards rewriting index: 268 leaves, 1.40+/-1.127 terms/leaf
% # Paramod-from index: 145 leaves, 1.00+/-0.000 terms/leaf
% # Paramod-into index: 243 leaves, 1.23+/-0.944 terms/leaf
% # -------------------------------------------------
% # User time : 0.237 s
% # System time : 0.013 s
% # Total time : 0.250 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.48 CPU 0.57 WC
% FINAL PrfWatch: 0.48 CPU 0.57 WC
% SZS output end Solution for /tmp/SystemOnTPTP18988/SWC065+1.tptp
%
%------------------------------------------------------------------------------