TSTP Solution File: SWC075+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC075+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 : art09.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 06:59:24 EST 2010
% Result : Theorem 3.14s
% Output : Solution 3.14s
% 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/SystemOnTPTP18564/SWC075+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP18564/SWC075+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP18564/SWC075+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 18660
% 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: 1.92 CPU 2.01 WC
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(neq(X1,X2)<=>~(X1=X2)))),file('/tmp/SRASS.s.p', ax15)).
% fof(3, axiom,ssList(nil),file('/tmp/SRASS.s.p', ax17)).
% fof(4, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>ssList(app(X1,X2)))),file('/tmp/SRASS.s.p', ax26)).
% fof(5, axiom,![X1]:(ssList(X1)=>app(nil,X1)=X1),file('/tmp/SRASS.s.p', ax28)).
% fof(8, axiom,![X1]:(ssList(X1)=>segmentP(X1,X1)),file('/tmp/SRASS.s.p', ax55)).
% fof(9, 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(13, 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(14, 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(16, axiom,![X1]:(ssList(X1)=>app(X1,nil)=X1),file('/tmp/SRASS.s.p', ax84)).
% fof(21, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(frontsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X2,X3)=X1)))),file('/tmp/SRASS.s.p', ax5)).
% fof(30, 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(32, axiom,![X1]:(ssList(X1)=>frontsegP(X1,nil)),file('/tmp/SRASS.s.p', ax45)).
% fof(39, axiom,![X1]:(ssList(X1)=>frontsegP(X1,X1)),file('/tmp/SRASS.s.p', ax42)).
% fof(96, conjecture,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(((((~(ssList(X4))|~(X2=X4))|~(X1=X3))|?[X5]:(((ssList(X5)&neq(X5,nil))&segmentP(X2,X5))&segmentP(X1,X5)))|![X6]:(ssList(X6)=>![X7]:((~(ssList(X7))|~(app(X6,X7)=X4))|~(app(X7,X6)=X3))))|(nil=X2&nil=X1))))),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)&neq(X5,nil))&segmentP(X2,X5))&segmentP(X1,X5)))|![X6]:(ssList(X6)=>![X7]:((~(ssList(X7))|~(app(X6,X7)=X4))|~(app(X7,X6)=X3))))|(nil=X2&nil=X1)))))),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)&neq(X5,nil))&segmentP(X2,X5))&segmentP(X1,X5)))|![X6]:(ssList(X6)=>![X7]:((~(ssList(X7))|~(app(X6,X7)=X4))|~(app(X7,X6)=X3))))|(nil=X2&nil=X1)))))),inference(fof_simplification,[status(thm)],[97,theory(equality)])).
% fof(113, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(neq(X1,X2))|~(X1=X2))&(X1=X2|neq(X1,X2))))),inference(fof_nnf,[status(thm)],[2])).
% fof(114, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))),inference(variable_rename,[status(thm)],[113])).
% fof(115, plain,![X3]:![X4]:((~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[114])).
% fof(116, 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)],[115])).
% cnf(117,plain,(neq(X1,X2)|X1=X2|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[116])).
% cnf(119,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[3])).
% fof(120, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|ssList(app(X1,X2)))),inference(fof_nnf,[status(thm)],[4])).
% fof(121, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|ssList(app(X3,X4)))),inference(variable_rename,[status(thm)],[120])).
% fof(122, plain,![X3]:![X4]:((~(ssList(X4))|ssList(app(X3,X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[121])).
% cnf(123,plain,(ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[122])).
% fof(124, plain,![X1]:(~(ssList(X1))|app(nil,X1)=X1),inference(fof_nnf,[status(thm)],[5])).
% fof(125, plain,![X2]:(~(ssList(X2))|app(nil,X2)=X2),inference(variable_rename,[status(thm)],[124])).
% cnf(126,plain,(app(nil,X1)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[125])).
% fof(135, plain,![X1]:(~(ssList(X1))|segmentP(X1,X1)),inference(fof_nnf,[status(thm)],[8])).
% fof(136, plain,![X2]:(~(ssList(X2))|segmentP(X2,X2)),inference(variable_rename,[status(thm)],[135])).
% cnf(137,plain,(segmentP(X1,X1)|~ssList(X1)),inference(split_conjunct,[status(thm)],[136])).
% fof(138, 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)],[9])).
% fof(139, 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)],[138])).
% fof(140, 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)],[139])).
% cnf(141,plain,(segmentP(app(app(X3,X1),X4),X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~segmentP(X1,X2)|~ssList(X4)),inference(split_conjunct,[status(thm)],[140])).
% fof(154, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X2,X3)=app(X2,X1))|X3=X1)))),inference(fof_nnf,[status(thm)],[13])).
% fof(155, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4)))),inference(variable_rename,[status(thm)],[154])).
% fof(156, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[155])).
% cnf(157,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X2,X3)!=app(X2,X1)|~ssList(X3)),inference(split_conjunct,[status(thm)],[156])).
% fof(158, 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)],[14])).
% fof(159, 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)],[158])).
% fof(160, 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)],[159])).
% cnf(161,plain,(app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X1)|~ssList(X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[160])).
% fof(169, plain,![X1]:(~(ssList(X1))|app(X1,nil)=X1),inference(fof_nnf,[status(thm)],[16])).
% fof(170, plain,![X2]:(~(ssList(X2))|app(X2,nil)=X2),inference(variable_rename,[status(thm)],[169])).
% cnf(171,plain,(app(X1,nil)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[170])).
% fof(190, 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)],[21])).
% fof(191, 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)],[190])).
% fof(192, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(frontsegP(X4,X5))|(ssList(esk3_2(X4,X5))&app(X5,esk3_2(X4,X5))=X4))&(![X7]:(~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))))),inference(skolemize,[status(esa)],[191])).
% fof(193, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))&(~(frontsegP(X4,X5))|(ssList(esk3_2(X4,X5))&app(X5,esk3_2(X4,X5))=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[192])).
% fof(194, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk3_2(X4,X5))|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(X5,esk3_2(X4,X5))=X4|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[193])).
% cnf(195,plain,(app(X2,esk3_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[194])).
% cnf(196,plain,(ssList(esk3_2(X1,X2))|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[194])).
% cnf(197,plain,(frontsegP(X1,X2)|~ssList(X1)|~ssList(X2)|app(X2,X3)!=X1|~ssList(X3)),inference(split_conjunct,[status(thm)],[194])).
% fof(240, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(frontsegP(X1,X2))|frontsegP(app(X1,X3),X2))))),inference(fof_nnf,[status(thm)],[30])).
% fof(241, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(frontsegP(X4,X5))|frontsegP(app(X4,X6),X5))))),inference(variable_rename,[status(thm)],[240])).
% fof(242, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(frontsegP(X4,X5))|frontsegP(app(X4,X6),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[241])).
% cnf(243,plain,(frontsegP(app(X1,X3),X2)|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[242])).
% fof(248, plain,![X1]:(~(ssList(X1))|frontsegP(X1,nil)),inference(fof_nnf,[status(thm)],[32])).
% fof(249, plain,![X2]:(~(ssList(X2))|frontsegP(X2,nil)),inference(variable_rename,[status(thm)],[248])).
% cnf(250,plain,(frontsegP(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[249])).
% fof(277, plain,![X1]:(~(ssList(X1))|frontsegP(X1,X1)),inference(fof_nnf,[status(thm)],[39])).
% fof(278, plain,![X2]:(~(ssList(X2))|frontsegP(X2,X2)),inference(variable_rename,[status(thm)],[277])).
% cnf(279,plain,(frontsegP(X1,X1)|~ssList(X1)),inference(split_conjunct,[status(thm)],[278])).
% fof(568, negated_conjecture,?[X1]:(ssList(X1)&?[X2]:(ssList(X2)&?[X3]:(ssList(X3)&?[X4]:(((((ssList(X4)&X2=X4)&X1=X3)&![X5]:(((~(ssList(X5))|~(neq(X5,nil)))|~(segmentP(X2,X5)))|~(segmentP(X1,X5))))&?[X6]:(ssList(X6)&?[X7]:((ssList(X7)&app(X6,X7)=X4)&app(X7,X6)=X3)))&(~(nil=X2)|~(nil=X1)))))),inference(fof_nnf,[status(thm)],[103])).
% fof(569, negated_conjecture,?[X8]:(ssList(X8)&?[X9]:(ssList(X9)&?[X10]:(ssList(X10)&?[X11]:(((((ssList(X11)&X9=X11)&X8=X10)&![X12]:(((~(ssList(X12))|~(neq(X12,nil)))|~(segmentP(X9,X12)))|~(segmentP(X8,X12))))&?[X13]:(ssList(X13)&?[X14]:((ssList(X14)&app(X13,X14)=X11)&app(X14,X13)=X10)))&(~(nil=X9)|~(nil=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)&![X12]:(((~(ssList(X12))|~(neq(X12,nil)))|~(segmentP(esk49_0,X12)))|~(segmentP(esk48_0,X12))))&(ssList(esk52_0)&((ssList(esk53_0)&app(esk52_0,esk53_0)=esk51_0)&app(esk53_0,esk52_0)=esk50_0)))&(~(nil=esk49_0)|~(nil=esk48_0)))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,![X12]:(((((((((~(ssList(X12))|~(neq(X12,nil)))|~(segmentP(esk49_0,X12)))|~(segmentP(esk48_0,X12)))&((ssList(esk51_0)&esk49_0=esk51_0)&esk48_0=esk50_0))&(ssList(esk52_0)&((ssList(esk53_0)&app(esk52_0,esk53_0)=esk51_0)&app(esk53_0,esk52_0)=esk50_0)))&(~(nil=esk49_0)|~(nil=esk48_0)))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(shift_quantors,[status(thm)],[570])).
% cnf(572,negated_conjecture,(ssList(esk48_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(573,negated_conjecture,(ssList(esk49_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(575,negated_conjecture,(nil!=esk48_0|nil!=esk49_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(576,negated_conjecture,(app(esk53_0,esk52_0)=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(577,negated_conjecture,(app(esk52_0,esk53_0)=esk51_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(578,negated_conjecture,(ssList(esk53_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(579,negated_conjecture,(ssList(esk52_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(580,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(581,negated_conjecture,(esk49_0=esk51_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(583,negated_conjecture,(~segmentP(esk48_0,X1)|~segmentP(esk49_0,X1)|~neq(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[571])).
% cnf(586,negated_conjecture,(app(esk52_0,esk53_0)=esk49_0),inference(rw,[status(thm)],[577,581,theory(equality)])).
% cnf(587,negated_conjecture,(app(esk53_0,esk52_0)=esk48_0),inference(rw,[status(thm)],[576,580,theory(equality)])).
% cnf(642,negated_conjecture,(X1=nil|~segmentP(esk48_0,X1)|~segmentP(esk49_0,X1)|~ssList(X1)|~ssList(nil)),inference(spm,[status(thm)],[583,117,theory(equality)])).
% cnf(643,negated_conjecture,(X1=nil|~segmentP(esk48_0,X1)|~segmentP(esk49_0,X1)|~ssList(X1)|$false),inference(rw,[status(thm)],[642,119,theory(equality)])).
% cnf(644,negated_conjecture,(X1=nil|~segmentP(esk48_0,X1)|~segmentP(esk49_0,X1)|~ssList(X1)),inference(cn,[status(thm)],[643,theory(equality)])).
% cnf(679,plain,(ssList(esk3_2(X1,X1))|~ssList(X1)),inference(spm,[status(thm)],[196,279,theory(equality)])).
% cnf(706,negated_conjecture,(X1=esk52_0|app(esk53_0,X1)!=esk48_0|~ssList(esk52_0)|~ssList(esk53_0)|~ssList(X1)),inference(spm,[status(thm)],[157,587,theory(equality)])).
% cnf(709,plain,(X1=nil|app(X2,X1)!=X2|~ssList(nil)|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[157,171,theory(equality)])).
% cnf(714,negated_conjecture,(X1=esk52_0|app(esk53_0,X1)!=esk48_0|$false|~ssList(esk53_0)|~ssList(X1)),inference(rw,[status(thm)],[706,579,theory(equality)])).
% cnf(715,negated_conjecture,(X1=esk52_0|app(esk53_0,X1)!=esk48_0|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[714,578,theory(equality)])).
% cnf(716,negated_conjecture,(X1=esk52_0|app(esk53_0,X1)!=esk48_0|~ssList(X1)),inference(cn,[status(thm)],[715,theory(equality)])).
% cnf(722,plain,(X1=nil|app(X2,X1)!=X2|$false|~ssList(X2)|~ssList(X1)),inference(rw,[status(thm)],[709,119,theory(equality)])).
% cnf(723,plain,(X1=nil|app(X2,X1)!=X2|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[722,theory(equality)])).
% cnf(772,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)|~ssList(app(X1,X2))),inference(er,[status(thm)],[197,theory(equality)])).
% cnf(860,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[243,250,theory(equality)])).
% cnf(862,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|$false|~ssList(X1)),inference(rw,[status(thm)],[860,119,theory(equality)])).
% cnf(863,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[862,theory(equality)])).
% cnf(869,plain,(app(X1,esk3_2(X1,X1))=X1|~ssList(X1)),inference(spm,[status(thm)],[195,279,theory(equality)])).
% cnf(890,negated_conjecture,(app(esk48_0,X1)=app(esk53_0,app(esk52_0,X1))|~ssList(X1)|~ssList(esk52_0)|~ssList(esk53_0)),inference(spm,[status(thm)],[161,587,theory(equality)])).
% cnf(891,negated_conjecture,(app(esk49_0,X1)=app(esk52_0,app(esk53_0,X1))|~ssList(X1)|~ssList(esk53_0)|~ssList(esk52_0)),inference(spm,[status(thm)],[161,586,theory(equality)])).
% cnf(893,plain,(app(X1,X2)=app(nil,app(X1,X2))|~ssList(X2)|~ssList(X1)|~ssList(nil)),inference(spm,[status(thm)],[161,126,theory(equality)])).
% cnf(897,negated_conjecture,(app(esk48_0,X1)=app(esk53_0,app(esk52_0,X1))|~ssList(X1)|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[890,579,theory(equality)])).
% cnf(898,negated_conjecture,(app(esk48_0,X1)=app(esk53_0,app(esk52_0,X1))|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[897,578,theory(equality)])).
% cnf(899,negated_conjecture,(app(esk48_0,X1)=app(esk53_0,app(esk52_0,X1))|~ssList(X1)),inference(cn,[status(thm)],[898,theory(equality)])).
% cnf(900,negated_conjecture,(app(esk49_0,X1)=app(esk52_0,app(esk53_0,X1))|~ssList(X1)|$false|~ssList(esk52_0)),inference(rw,[status(thm)],[891,578,theory(equality)])).
% cnf(901,negated_conjecture,(app(esk49_0,X1)=app(esk52_0,app(esk53_0,X1))|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[900,579,theory(equality)])).
% cnf(902,negated_conjecture,(app(esk49_0,X1)=app(esk52_0,app(esk53_0,X1))|~ssList(X1)),inference(cn,[status(thm)],[901,theory(equality)])).
% cnf(903,plain,(app(X1,X2)=app(nil,app(X1,X2))|~ssList(X2)|~ssList(X1)|$false),inference(rw,[status(thm)],[893,119,theory(equality)])).
% cnf(904,plain,(app(X1,X2)=app(nil,app(X1,X2))|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[903,theory(equality)])).
% cnf(930,plain,(segmentP(app(app(X1,X2),X3),X2)|~ssList(X3)|~ssList(X1)|~ssList(X2)),inference(spm,[status(thm)],[141,137,theory(equality)])).
% cnf(1964,negated_conjecture,(app(esk53_0,esk52_0)=app(esk48_0,nil)|~ssList(nil)|~ssList(esk52_0)),inference(spm,[status(thm)],[899,171,theory(equality)])).
% cnf(1965,negated_conjecture,(app(esk53_0,esk49_0)=app(esk48_0,esk53_0)|~ssList(esk53_0)),inference(spm,[status(thm)],[899,586,theory(equality)])).
% cnf(1994,negated_conjecture,(esk48_0=app(esk48_0,nil)|~ssList(nil)|~ssList(esk52_0)),inference(rw,[status(thm)],[1964,587,theory(equality)])).
% cnf(1995,negated_conjecture,(esk48_0=app(esk48_0,nil)|$false|~ssList(esk52_0)),inference(rw,[status(thm)],[1994,119,theory(equality)])).
% cnf(1996,negated_conjecture,(esk48_0=app(esk48_0,nil)|$false|$false),inference(rw,[status(thm)],[1995,579,theory(equality)])).
% cnf(1997,negated_conjecture,(esk48_0=app(esk48_0,nil)),inference(cn,[status(thm)],[1996,theory(equality)])).
% cnf(1998,negated_conjecture,(app(esk53_0,esk49_0)=app(esk48_0,esk53_0)|$false),inference(rw,[status(thm)],[1965,578,theory(equality)])).
% cnf(1999,negated_conjecture,(app(esk53_0,esk49_0)=app(esk48_0,esk53_0)),inference(cn,[status(thm)],[1998,theory(equality)])).
% cnf(2053,negated_conjecture,(ssList(app(esk48_0,esk53_0))|~ssList(esk49_0)|~ssList(esk53_0)),inference(spm,[status(thm)],[123,1999,theory(equality)])).
% cnf(2060,negated_conjecture,(X1=esk49_0|app(esk53_0,X1)!=app(esk48_0,esk53_0)|~ssList(esk49_0)|~ssList(esk53_0)|~ssList(X1)),inference(spm,[status(thm)],[157,1999,theory(equality)])).
% cnf(2066,negated_conjecture,(esk49_0=esk52_0|app(esk48_0,esk53_0)!=esk48_0|~ssList(esk49_0)),inference(spm,[status(thm)],[716,1999,theory(equality)])).
% cnf(2070,negated_conjecture,(ssList(app(esk48_0,esk53_0))|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[2053,573,theory(equality)])).
% cnf(2071,negated_conjecture,(ssList(app(esk48_0,esk53_0))|$false|$false),inference(rw,[status(thm)],[2070,578,theory(equality)])).
% cnf(2072,negated_conjecture,(ssList(app(esk48_0,esk53_0))),inference(cn,[status(thm)],[2071,theory(equality)])).
% cnf(2091,negated_conjecture,(X1=esk49_0|app(esk53_0,X1)!=app(esk48_0,esk53_0)|$false|~ssList(esk53_0)|~ssList(X1)),inference(rw,[status(thm)],[2060,573,theory(equality)])).
% cnf(2092,negated_conjecture,(X1=esk49_0|app(esk53_0,X1)!=app(esk48_0,esk53_0)|$false|$false|~ssList(X1)),inference(rw,[status(thm)],[2091,578,theory(equality)])).
% cnf(2093,negated_conjecture,(X1=esk49_0|app(esk53_0,X1)!=app(esk48_0,esk53_0)|~ssList(X1)),inference(cn,[status(thm)],[2092,theory(equality)])).
% cnf(2109,negated_conjecture,(esk49_0=esk52_0|app(esk48_0,esk53_0)!=esk48_0|$false),inference(rw,[status(thm)],[2066,573,theory(equality)])).
% cnf(2110,negated_conjecture,(esk49_0=esk52_0|app(esk48_0,esk53_0)!=esk48_0),inference(cn,[status(thm)],[2109,theory(equality)])).
% cnf(2332,negated_conjecture,(app(esk52_0,esk53_0)=app(esk49_0,nil)|~ssList(nil)|~ssList(esk53_0)),inference(spm,[status(thm)],[902,171,theory(equality)])).
% cnf(2364,negated_conjecture,(esk49_0=app(esk49_0,nil)|~ssList(nil)|~ssList(esk53_0)),inference(rw,[status(thm)],[2332,586,theory(equality)])).
% cnf(2365,negated_conjecture,(esk49_0=app(esk49_0,nil)|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[2364,119,theory(equality)])).
% cnf(2366,negated_conjecture,(esk49_0=app(esk49_0,nil)|$false|$false),inference(rw,[status(thm)],[2365,578,theory(equality)])).
% cnf(2367,negated_conjecture,(esk49_0=app(esk49_0,nil)),inference(cn,[status(thm)],[2366,theory(equality)])).
% cnf(5338,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[772,123])).
% cnf(5345,negated_conjecture,(frontsegP(app(esk48_0,esk53_0),esk53_0)|~ssList(esk49_0)|~ssList(esk53_0)),inference(spm,[status(thm)],[5338,1999,theory(equality)])).
% cnf(5373,negated_conjecture,(frontsegP(esk49_0,esk49_0)|~ssList(nil)|~ssList(esk49_0)),inference(spm,[status(thm)],[5338,2367,theory(equality)])).
% cnf(5374,negated_conjecture,(frontsegP(esk48_0,esk48_0)|~ssList(nil)|~ssList(esk48_0)),inference(spm,[status(thm)],[5338,1997,theory(equality)])).
% cnf(5399,negated_conjecture,(frontsegP(app(esk48_0,esk53_0),esk53_0)|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[5345,573,theory(equality)])).
% cnf(5400,negated_conjecture,(frontsegP(app(esk48_0,esk53_0),esk53_0)|$false|$false),inference(rw,[status(thm)],[5399,578,theory(equality)])).
% cnf(5401,negated_conjecture,(frontsegP(app(esk48_0,esk53_0),esk53_0)),inference(cn,[status(thm)],[5400,theory(equality)])).
% cnf(5481,negated_conjecture,(frontsegP(esk49_0,esk49_0)|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[5373,119,theory(equality)])).
% cnf(5482,negated_conjecture,(frontsegP(esk49_0,esk49_0)|$false|$false),inference(rw,[status(thm)],[5481,573,theory(equality)])).
% cnf(5483,negated_conjecture,(frontsegP(esk49_0,esk49_0)),inference(cn,[status(thm)],[5482,theory(equality)])).
% cnf(5484,negated_conjecture,(frontsegP(esk48_0,esk48_0)|$false|~ssList(esk48_0)),inference(rw,[status(thm)],[5374,119,theory(equality)])).
% cnf(5485,negated_conjecture,(frontsegP(esk48_0,esk48_0)|$false|$false),inference(rw,[status(thm)],[5484,572,theory(equality)])).
% cnf(5486,negated_conjecture,(frontsegP(esk48_0,esk48_0)),inference(cn,[status(thm)],[5485,theory(equality)])).
% cnf(5731,negated_conjecture,(ssList(esk3_2(esk49_0,esk49_0))|~ssList(esk49_0)),inference(spm,[status(thm)],[196,5483,theory(equality)])).
% cnf(5732,negated_conjecture,(app(esk49_0,esk3_2(esk49_0,esk49_0))=esk49_0|~ssList(esk49_0)),inference(spm,[status(thm)],[195,5483,theory(equality)])).
% cnf(5735,negated_conjecture,(ssList(esk3_2(esk49_0,esk49_0))|$false),inference(rw,[status(thm)],[5731,573,theory(equality)])).
% cnf(5736,negated_conjecture,(ssList(esk3_2(esk49_0,esk49_0))),inference(cn,[status(thm)],[5735,theory(equality)])).
% cnf(5737,negated_conjecture,(app(esk49_0,esk3_2(esk49_0,esk49_0))=esk49_0|$false),inference(rw,[status(thm)],[5732,573,theory(equality)])).
% cnf(5738,negated_conjecture,(app(esk49_0,esk3_2(esk49_0,esk49_0))=esk49_0),inference(cn,[status(thm)],[5737,theory(equality)])).
% cnf(5755,negated_conjecture,(esk3_2(esk49_0,esk49_0)=nil|~ssList(esk49_0)|~ssList(esk3_2(esk49_0,esk49_0))),inference(spm,[status(thm)],[723,5738,theory(equality)])).
% cnf(5800,negated_conjecture,(esk3_2(esk49_0,esk49_0)=nil|$false|~ssList(esk3_2(esk49_0,esk49_0))),inference(rw,[status(thm)],[5755,573,theory(equality)])).
% cnf(5801,negated_conjecture,(esk3_2(esk49_0,esk49_0)=nil|$false|$false),inference(rw,[status(thm)],[5800,5736,theory(equality)])).
% cnf(5802,negated_conjecture,(esk3_2(esk49_0,esk49_0)=nil),inference(cn,[status(thm)],[5801,theory(equality)])).
% cnf(5829,negated_conjecture,(ssList(esk3_2(esk48_0,esk48_0))|~ssList(esk48_0)),inference(spm,[status(thm)],[196,5486,theory(equality)])).
% cnf(5830,negated_conjecture,(app(esk48_0,esk3_2(esk48_0,esk48_0))=esk48_0|~ssList(esk48_0)),inference(spm,[status(thm)],[195,5486,theory(equality)])).
% cnf(5833,negated_conjecture,(ssList(esk3_2(esk48_0,esk48_0))|$false),inference(rw,[status(thm)],[5829,572,theory(equality)])).
% cnf(5834,negated_conjecture,(ssList(esk3_2(esk48_0,esk48_0))),inference(cn,[status(thm)],[5833,theory(equality)])).
% cnf(5835,negated_conjecture,(app(esk48_0,esk3_2(esk48_0,esk48_0))=esk48_0|$false),inference(rw,[status(thm)],[5830,572,theory(equality)])).
% cnf(5836,negated_conjecture,(app(esk48_0,esk3_2(esk48_0,esk48_0))=esk48_0),inference(cn,[status(thm)],[5835,theory(equality)])).
% cnf(5853,negated_conjecture,(esk3_2(esk48_0,esk48_0)=nil|~ssList(esk48_0)|~ssList(esk3_2(esk48_0,esk48_0))),inference(spm,[status(thm)],[723,5836,theory(equality)])).
% cnf(5898,negated_conjecture,(esk3_2(esk48_0,esk48_0)=nil|$false|~ssList(esk3_2(esk48_0,esk48_0))),inference(rw,[status(thm)],[5853,572,theory(equality)])).
% cnf(5899,negated_conjecture,(esk3_2(esk48_0,esk48_0)=nil|$false|$false),inference(rw,[status(thm)],[5898,5834,theory(equality)])).
% cnf(5900,negated_conjecture,(esk3_2(esk48_0,esk48_0)=nil),inference(cn,[status(thm)],[5899,theory(equality)])).
% cnf(5923,negated_conjecture,(ssList(esk3_2(app(esk48_0,esk53_0),esk53_0))|~ssList(esk53_0)|~ssList(app(esk48_0,esk53_0))),inference(spm,[status(thm)],[196,5401,theory(equality)])).
% cnf(5925,negated_conjecture,(app(esk53_0,esk3_2(app(esk48_0,esk53_0),esk53_0))=app(esk48_0,esk53_0)|~ssList(esk53_0)|~ssList(app(esk48_0,esk53_0))),inference(spm,[status(thm)],[195,5401,theory(equality)])).
% cnf(5928,negated_conjecture,(ssList(esk3_2(app(esk48_0,esk53_0),esk53_0))|$false|~ssList(app(esk48_0,esk53_0))),inference(rw,[status(thm)],[5923,578,theory(equality)])).
% cnf(5929,negated_conjecture,(ssList(esk3_2(app(esk48_0,esk53_0),esk53_0))|$false|$false),inference(rw,[status(thm)],[5928,2072,theory(equality)])).
% cnf(5930,negated_conjecture,(ssList(esk3_2(app(esk48_0,esk53_0),esk53_0))),inference(cn,[status(thm)],[5929,theory(equality)])).
% cnf(5934,negated_conjecture,(app(esk53_0,esk3_2(app(esk48_0,esk53_0),esk53_0))=app(esk48_0,esk53_0)|$false|~ssList(app(esk48_0,esk53_0))),inference(rw,[status(thm)],[5925,578,theory(equality)])).
% cnf(5935,negated_conjecture,(app(esk53_0,esk3_2(app(esk48_0,esk53_0),esk53_0))=app(esk48_0,esk53_0)|$false|$false),inference(rw,[status(thm)],[5934,2072,theory(equality)])).
% cnf(5936,negated_conjecture,(app(esk53_0,esk3_2(app(esk48_0,esk53_0),esk53_0))=app(esk48_0,esk53_0)),inference(cn,[status(thm)],[5935,theory(equality)])).
% cnf(5962,negated_conjecture,(esk3_2(app(esk48_0,esk53_0),esk53_0)=esk49_0|~ssList(esk3_2(app(esk48_0,esk53_0),esk53_0))),inference(spm,[status(thm)],[2093,5936,theory(equality)])).
% cnf(6023,negated_conjecture,(esk3_2(app(esk48_0,esk53_0),esk53_0)=esk49_0|$false),inference(rw,[status(thm)],[5962,5930,theory(equality)])).
% cnf(6024,negated_conjecture,(esk3_2(app(esk48_0,esk53_0),esk53_0)=esk49_0),inference(cn,[status(thm)],[6023,theory(equality)])).
% cnf(12151,negated_conjecture,(frontsegP(esk48_0,nil)|~ssList(esk52_0)|~ssList(esk53_0)),inference(spm,[status(thm)],[863,587,theory(equality)])).
% cnf(12174,negated_conjecture,(frontsegP(esk49_0,nil)|~ssList(esk53_0)|~ssList(esk52_0)),inference(spm,[status(thm)],[863,586,theory(equality)])).
% cnf(12242,negated_conjecture,(frontsegP(esk48_0,nil)|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[12151,579,theory(equality)])).
% cnf(12243,negated_conjecture,(frontsegP(esk48_0,nil)|$false|$false),inference(rw,[status(thm)],[12242,578,theory(equality)])).
% cnf(12244,negated_conjecture,(frontsegP(esk48_0,nil)),inference(cn,[status(thm)],[12243,theory(equality)])).
% cnf(12310,negated_conjecture,(frontsegP(esk49_0,nil)|$false|~ssList(esk52_0)),inference(rw,[status(thm)],[12174,578,theory(equality)])).
% cnf(12311,negated_conjecture,(frontsegP(esk49_0,nil)|$false|$false),inference(rw,[status(thm)],[12310,579,theory(equality)])).
% cnf(12312,negated_conjecture,(frontsegP(esk49_0,nil)),inference(cn,[status(thm)],[12311,theory(equality)])).
% cnf(12443,negated_conjecture,(ssList(esk3_2(esk48_0,nil))|~ssList(nil)|~ssList(esk48_0)),inference(spm,[status(thm)],[196,12244,theory(equality)])).
% cnf(12445,negated_conjecture,(app(nil,esk3_2(esk48_0,nil))=esk48_0|~ssList(nil)|~ssList(esk48_0)),inference(spm,[status(thm)],[195,12244,theory(equality)])).
% cnf(12448,negated_conjecture,(ssList(esk3_2(esk48_0,nil))|$false|~ssList(esk48_0)),inference(rw,[status(thm)],[12443,119,theory(equality)])).
% cnf(12449,negated_conjecture,(ssList(esk3_2(esk48_0,nil))|$false|$false),inference(rw,[status(thm)],[12448,572,theory(equality)])).
% cnf(12450,negated_conjecture,(ssList(esk3_2(esk48_0,nil))),inference(cn,[status(thm)],[12449,theory(equality)])).
% cnf(12454,negated_conjecture,(app(nil,esk3_2(esk48_0,nil))=esk48_0|$false|~ssList(esk48_0)),inference(rw,[status(thm)],[12445,119,theory(equality)])).
% cnf(12455,negated_conjecture,(app(nil,esk3_2(esk48_0,nil))=esk48_0|$false|$false),inference(rw,[status(thm)],[12454,572,theory(equality)])).
% cnf(12456,negated_conjecture,(app(nil,esk3_2(esk48_0,nil))=esk48_0),inference(cn,[status(thm)],[12455,theory(equality)])).
% cnf(12482,negated_conjecture,(esk48_0=esk3_2(esk48_0,nil)|~ssList(esk3_2(esk48_0,nil))),inference(spm,[status(thm)],[126,12456,theory(equality)])).
% cnf(12545,negated_conjecture,(esk48_0=esk3_2(esk48_0,nil)|$false),inference(rw,[status(thm)],[12482,12450,theory(equality)])).
% cnf(12546,negated_conjecture,(esk48_0=esk3_2(esk48_0,nil)),inference(cn,[status(thm)],[12545,theory(equality)])).
% cnf(12551,negated_conjecture,(ssList(esk3_2(esk49_0,nil))|~ssList(nil)|~ssList(esk49_0)),inference(spm,[status(thm)],[196,12312,theory(equality)])).
% cnf(12553,negated_conjecture,(app(nil,esk3_2(esk49_0,nil))=esk49_0|~ssList(nil)|~ssList(esk49_0)),inference(spm,[status(thm)],[195,12312,theory(equality)])).
% cnf(12556,negated_conjecture,(ssList(esk3_2(esk49_0,nil))|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[12551,119,theory(equality)])).
% cnf(12557,negated_conjecture,(ssList(esk3_2(esk49_0,nil))|$false|$false),inference(rw,[status(thm)],[12556,573,theory(equality)])).
% cnf(12558,negated_conjecture,(ssList(esk3_2(esk49_0,nil))),inference(cn,[status(thm)],[12557,theory(equality)])).
% cnf(12562,negated_conjecture,(app(nil,esk3_2(esk49_0,nil))=esk49_0|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[12553,119,theory(equality)])).
% cnf(12563,negated_conjecture,(app(nil,esk3_2(esk49_0,nil))=esk49_0|$false|$false),inference(rw,[status(thm)],[12562,573,theory(equality)])).
% cnf(12564,negated_conjecture,(app(nil,esk3_2(esk49_0,nil))=esk49_0),inference(cn,[status(thm)],[12563,theory(equality)])).
% cnf(12590,negated_conjecture,(esk49_0=esk3_2(esk49_0,nil)|~ssList(esk3_2(esk49_0,nil))),inference(spm,[status(thm)],[126,12564,theory(equality)])).
% cnf(12653,negated_conjecture,(esk49_0=esk3_2(esk49_0,nil)|$false),inference(rw,[status(thm)],[12590,12558,theory(equality)])).
% cnf(12654,negated_conjecture,(esk49_0=esk3_2(esk49_0,nil)),inference(cn,[status(thm)],[12653,theory(equality)])).
% cnf(12754,negated_conjecture,(app(nil,esk49_0)=esk49_0),inference(rw,[status(thm)],[12564,12654,theory(equality)])).
% cnf(14321,negated_conjecture,(app(esk52_0,esk53_0)=app(esk49_0,esk3_2(esk53_0,esk53_0))|~ssList(esk3_2(esk53_0,esk53_0))|~ssList(esk53_0)),inference(spm,[status(thm)],[902,869,theory(equality)])).
% cnf(14377,negated_conjecture,(esk49_0=app(esk49_0,esk3_2(esk53_0,esk53_0))|~ssList(esk3_2(esk53_0,esk53_0))|~ssList(esk53_0)),inference(rw,[status(thm)],[14321,586,theory(equality)])).
% cnf(14378,negated_conjecture,(esk49_0=app(esk49_0,esk3_2(esk53_0,esk53_0))|~ssList(esk3_2(esk53_0,esk53_0))|$false),inference(rw,[status(thm)],[14377,578,theory(equality)])).
% cnf(14379,negated_conjecture,(esk49_0=app(esk49_0,esk3_2(esk53_0,esk53_0))|~ssList(esk3_2(esk53_0,esk53_0))),inference(cn,[status(thm)],[14378,theory(equality)])).
% cnf(30100,negated_conjecture,(segmentP(app(esk48_0,X1),esk52_0)|~ssList(X1)|~ssList(esk53_0)|~ssList(esk52_0)),inference(spm,[status(thm)],[930,587,theory(equality)])).
% cnf(30123,negated_conjecture,(segmentP(app(esk49_0,X1),esk53_0)|~ssList(X1)|~ssList(esk52_0)|~ssList(esk53_0)),inference(spm,[status(thm)],[930,586,theory(equality)])).
% cnf(30180,negated_conjecture,(segmentP(app(esk49_0,X1),esk49_0)|~ssList(X1)|~ssList(nil)|~ssList(esk49_0)),inference(spm,[status(thm)],[930,12754,theory(equality)])).
% cnf(30234,negated_conjecture,(segmentP(app(esk48_0,X1),esk52_0)|~ssList(X1)|$false|~ssList(esk52_0)),inference(rw,[status(thm)],[30100,578,theory(equality)])).
% cnf(30235,negated_conjecture,(segmentP(app(esk48_0,X1),esk52_0)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[30234,579,theory(equality)])).
% cnf(30236,negated_conjecture,(segmentP(app(esk48_0,X1),esk52_0)|~ssList(X1)),inference(cn,[status(thm)],[30235,theory(equality)])).
% cnf(30302,negated_conjecture,(segmentP(app(esk49_0,X1),esk53_0)|~ssList(X1)|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[30123,579,theory(equality)])).
% cnf(30303,negated_conjecture,(segmentP(app(esk49_0,X1),esk53_0)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[30302,578,theory(equality)])).
% cnf(30304,negated_conjecture,(segmentP(app(esk49_0,X1),esk53_0)|~ssList(X1)),inference(cn,[status(thm)],[30303,theory(equality)])).
% cnf(30448,negated_conjecture,(segmentP(app(esk49_0,X1),esk49_0)|~ssList(X1)|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[30180,119,theory(equality)])).
% cnf(30449,negated_conjecture,(segmentP(app(esk49_0,X1),esk49_0)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[30448,573,theory(equality)])).
% cnf(30450,negated_conjecture,(segmentP(app(esk49_0,X1),esk49_0)|~ssList(X1)),inference(cn,[status(thm)],[30449,theory(equality)])).
% cnf(48848,negated_conjecture,(segmentP(esk48_0,esk52_0)|~ssList(esk3_2(esk48_0,esk48_0))|~ssList(esk48_0)),inference(spm,[status(thm)],[30236,869,theory(equality)])).
% cnf(48871,negated_conjecture,(segmentP(esk48_0,esk52_0)|$false|~ssList(esk48_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[48848,5900,theory(equality)]),119,theory(equality)])).
% cnf(48872,negated_conjecture,(segmentP(esk48_0,esk52_0)|$false|$false),inference(rw,[status(thm)],[48871,572,theory(equality)])).
% cnf(48873,negated_conjecture,(segmentP(esk48_0,esk52_0)),inference(cn,[status(thm)],[48872,theory(equality)])).
% cnf(48899,negated_conjecture,(esk52_0=nil|~segmentP(esk49_0,esk52_0)|~ssList(esk52_0)),inference(spm,[status(thm)],[644,48873,theory(equality)])).
% cnf(48918,negated_conjecture,(esk52_0=nil|~segmentP(esk49_0,esk52_0)|$false),inference(rw,[status(thm)],[48899,579,theory(equality)])).
% cnf(48919,negated_conjecture,(esk52_0=nil|~segmentP(esk49_0,esk52_0)),inference(cn,[status(thm)],[48918,theory(equality)])).
% cnf(49262,negated_conjecture,(segmentP(esk49_0,esk53_0)|~ssList(esk3_2(esk49_0,esk49_0))|~ssList(esk49_0)),inference(spm,[status(thm)],[30304,869,theory(equality)])).
% cnf(49285,negated_conjecture,(segmentP(esk49_0,esk53_0)|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[49262,5802,theory(equality)]),119,theory(equality)])).
% cnf(49286,negated_conjecture,(segmentP(esk49_0,esk53_0)|$false|$false),inference(rw,[status(thm)],[49285,573,theory(equality)])).
% cnf(49287,negated_conjecture,(segmentP(esk49_0,esk53_0)),inference(cn,[status(thm)],[49286,theory(equality)])).
% cnf(49716,negated_conjecture,(segmentP(esk49_0,esk49_0)|~ssList(esk3_2(esk49_0,esk49_0))|~ssList(esk49_0)),inference(spm,[status(thm)],[30450,869,theory(equality)])).
% cnf(49739,negated_conjecture,(segmentP(esk49_0,esk49_0)|$false|~ssList(esk49_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[49716,5802,theory(equality)]),119,theory(equality)])).
% cnf(49740,negated_conjecture,(segmentP(esk49_0,esk49_0)|$false|$false),inference(rw,[status(thm)],[49739,573,theory(equality)])).
% cnf(49741,negated_conjecture,(segmentP(esk49_0,esk49_0)),inference(cn,[status(thm)],[49740,theory(equality)])).
% cnf(58048,negated_conjecture,(app(esk49_0,esk3_2(esk53_0,esk53_0))=esk49_0|~ssList(esk53_0)),inference(spm,[status(thm)],[14379,679,theory(equality)])).
% cnf(58049,negated_conjecture,(app(esk49_0,esk3_2(esk53_0,esk53_0))=esk49_0|$false),inference(rw,[status(thm)],[58048,578,theory(equality)])).
% cnf(58050,negated_conjecture,(app(esk49_0,esk3_2(esk53_0,esk53_0))=esk49_0),inference(cn,[status(thm)],[58049,theory(equality)])).
% cnf(58083,negated_conjecture,(esk3_2(esk53_0,esk53_0)=nil|~ssList(esk49_0)|~ssList(esk3_2(esk53_0,esk53_0))),inference(spm,[status(thm)],[723,58050,theory(equality)])).
% cnf(58184,negated_conjecture,(esk3_2(esk53_0,esk53_0)=nil|$false|~ssList(esk3_2(esk53_0,esk53_0))),inference(rw,[status(thm)],[58083,573,theory(equality)])).
% cnf(58185,negated_conjecture,(esk3_2(esk53_0,esk53_0)=nil|~ssList(esk3_2(esk53_0,esk53_0))),inference(cn,[status(thm)],[58184,theory(equality)])).
% cnf(58251,negated_conjecture,(esk3_2(esk53_0,esk53_0)=nil|~ssList(esk53_0)),inference(spm,[status(thm)],[58185,679,theory(equality)])).
% cnf(58252,negated_conjecture,(esk3_2(esk53_0,esk53_0)=nil|$false),inference(rw,[status(thm)],[58251,578,theory(equality)])).
% cnf(58253,negated_conjecture,(esk3_2(esk53_0,esk53_0)=nil),inference(cn,[status(thm)],[58252,theory(equality)])).
% cnf(58255,negated_conjecture,(app(esk53_0,nil)=esk53_0|~ssList(esk53_0)),inference(spm,[status(thm)],[869,58253,theory(equality)])).
% cnf(58275,negated_conjecture,(app(esk53_0,nil)=esk53_0|$false),inference(rw,[status(thm)],[58255,578,theory(equality)])).
% cnf(58276,negated_conjecture,(app(esk53_0,nil)=esk53_0),inference(cn,[status(thm)],[58275,theory(equality)])).
% cnf(58287,negated_conjecture,(app(nil,esk53_0)=esk53_0|~ssList(nil)|~ssList(esk53_0)),inference(spm,[status(thm)],[904,58276,theory(equality)])).
% cnf(58383,negated_conjecture,(app(nil,esk53_0)=esk53_0|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[58287,119,theory(equality)])).
% cnf(58384,negated_conjecture,(app(nil,esk53_0)=esk53_0|$false|$false),inference(rw,[status(thm)],[58383,578,theory(equality)])).
% cnf(58385,negated_conjecture,(app(nil,esk53_0)=esk53_0),inference(cn,[status(thm)],[58384,theory(equality)])).
% cnf(58544,negated_conjecture,(segmentP(app(esk53_0,X1),esk53_0)|~ssList(X1)|~ssList(nil)|~ssList(esk53_0)),inference(spm,[status(thm)],[930,58385,theory(equality)])).
% cnf(58615,negated_conjecture,(segmentP(app(esk53_0,X1),esk53_0)|~ssList(X1)|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[58544,119,theory(equality)])).
% cnf(58616,negated_conjecture,(segmentP(app(esk53_0,X1),esk53_0)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[58615,578,theory(equality)])).
% cnf(58617,negated_conjecture,(segmentP(app(esk53_0,X1),esk53_0)|~ssList(X1)),inference(cn,[status(thm)],[58616,theory(equality)])).
% cnf(60354,negated_conjecture,(segmentP(esk48_0,esk53_0)|~ssList(esk52_0)),inference(spm,[status(thm)],[58617,587,theory(equality)])).
% cnf(60400,negated_conjecture,(segmentP(esk48_0,esk53_0)|$false),inference(rw,[status(thm)],[60354,579,theory(equality)])).
% cnf(60401,negated_conjecture,(segmentP(esk48_0,esk53_0)),inference(cn,[status(thm)],[60400,theory(equality)])).
% cnf(60469,negated_conjecture,(esk53_0=nil|~segmentP(esk49_0,esk53_0)|~ssList(esk53_0)),inference(spm,[status(thm)],[644,60401,theory(equality)])).
% cnf(60488,negated_conjecture,(esk53_0=nil|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[60469,49287,theory(equality)])).
% cnf(60489,negated_conjecture,(esk53_0=nil|$false|$false),inference(rw,[status(thm)],[60488,578,theory(equality)])).
% cnf(60490,negated_conjecture,(esk53_0=nil),inference(cn,[status(thm)],[60489,theory(equality)])).
% cnf(60995,negated_conjecture,(esk48_0=esk49_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6024,60490,theory(equality)]),1997,theory(equality)]),60490,theory(equality)]),12546,theory(equality)])).
% cnf(61262,negated_conjecture,(esk52_0=esk49_0|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2110,60490,theory(equality)]),1997,theory(equality)])).
% cnf(61263,negated_conjecture,(esk52_0=esk49_0),inference(cn,[status(thm)],[61262,theory(equality)])).
% cnf(61363,negated_conjecture,(esk49_0=nil|~segmentP(esk49_0,esk52_0)),inference(rw,[status(thm)],[48919,61263,theory(equality)])).
% cnf(61364,negated_conjecture,(esk49_0=nil|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[61363,61263,theory(equality)]),49741,theory(equality)])).
% cnf(61365,negated_conjecture,(esk49_0=nil),inference(cn,[status(thm)],[61364,theory(equality)])).
% cnf(62221,negated_conjecture,(esk48_0!=nil|$false),inference(rw,[status(thm)],[575,61365,theory(equality)])).
% cnf(62222,negated_conjecture,(esk48_0!=nil),inference(cn,[status(thm)],[62221,theory(equality)])).
% cnf(62230,negated_conjecture,(nil=esk48_0),inference(rw,[status(thm)],[60995,61365,theory(equality)])).
% cnf(62231,negated_conjecture,($false),inference(sr,[status(thm)],[62230,62222,theory(equality)])).
% cnf(62232,negated_conjecture,($false),62231,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 2531
% # ...of these trivial : 182
% # ...subsumed : 513
% # ...remaining for further processing: 1836
% # Other redundant clauses eliminated : 203
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 58
% # Backward-rewritten : 1264
% # Generated clauses : 17479
% # ...of the previous two non-trivial : 16391
% # Contextual simplify-reflections : 309
% # Paramodulations : 17210
% # Factorizations : 0
% # Equation resolutions : 267
% # Current number of processed clauses: 505
% # Positive orientable unit clauses: 118
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 3
% # Non-unit-clauses : 384
% # Current number of unprocessed clauses: 4727
% # ...number of literals in the above : 26579
% # Clause-clause subsumption calls (NU) : 83002
% # Rec. Clause-clause subsumption calls : 73009
% # Unit Clause-clause subsumption calls : 10090
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 1645
% # Indexed BW rewrite successes : 79
% # Backwards rewriting index: 446 leaves, 1.49+/-1.243 terms/leaf
% # Paramod-from index: 234 leaves, 1.13+/-0.657 terms/leaf
% # Paramod-into index: 392 leaves, 1.38+/-1.155 terms/leaf
% # -------------------------------------------------
% # User time : 1.084 s
% # System time : 0.040 s
% # Total time : 1.124 s
% # Maximum resident set size: 0 pages
% PrfWatch: 2.02 CPU 2.13 WC
% FINAL PrfWatch: 2.02 CPU 2.13 WC
% SZS output end Solution for /tmp/SystemOnTPTP18564/SWC075+1.tptp
%
%------------------------------------------------------------------------------