%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC162+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 : art07.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 07:14:59 EST 2010
% Result : Theorem 3.00s
% Output : Solution 3.00s
% 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/SystemOnTPTP30529/SWC162+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP30529/SWC162+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP30529/SWC162+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 30625
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.031 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(4, axiom,![X1]:(ssList(X1)=>(singletonP(X1)<=>?[X2]:(ssItem(X2)&cons(X2,nil)=X1))),file('/tmp/SRASS.s.p', ax4)).
% fof(5, 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(6, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(neq(X1,X2)<=>~(X1=X2)))),file('/tmp/SRASS.s.p', ax15)).
% fof(7, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>ssList(cons(X2,X1)))),file('/tmp/SRASS.s.p', ax16)).
% fof(8, axiom,ssList(nil),file('/tmp/SRASS.s.p', ax17)).
% fof(13, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>ssList(app(X1,X2)))),file('/tmp/SRASS.s.p', ax26)).
% fof(16, axiom,![X1]:(ssItem(X1)=>![X2]:(ssItem(X2)=>((leq(X1,X2)&leq(X2,X1))=>X1=X2))),file('/tmp/SRASS.s.p', ax29)).
% fof(24, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>((segmentP(X1,X2)&segmentP(X2,X1))=>X1=X2))),file('/tmp/SRASS.s.p', ax54)).
% fof(26, 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(27, axiom,![X1]:(ssList(X1)=>segmentP(X1,nil)),file('/tmp/SRASS.s.p', ax57)).
% fof(31, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>cons(X2,X1)=app(cons(X2,nil),X1))),file('/tmp/SRASS.s.p', ax81)).
% fof(32, 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(35, axiom,![X1]:(ssList(X1)=>(cyclefreeP(X1)<=>![X2]:(ssItem(X2)=>![X3]:(ssItem(X3)=>![X4]:(ssList(X4)=>![X5]:(ssList(X5)=>![X6]:(ssList(X6)=>(app(app(X4,cons(X2,X5)),cons(X3,X6))=X1=>~((leq(X2,X3)&leq(X3,X2))))))))))),file('/tmp/SRASS.s.p', ax8)).
% fof(37, axiom,![X1]:(ssList(X1)=>(totalorderedP(X1)<=>![X2]:(ssItem(X2)=>![X3]:(ssItem(X3)=>![X4]:(ssList(X4)=>![X5]:(ssList(X5)=>![X6]:(ssList(X6)=>(app(app(X4,cons(X2,X5)),cons(X3,X6))=X1=>leq(X2,X3))))))))),file('/tmp/SRASS.s.p', ax11)).
% fof(50, axiom,![X1]:(ssItem(X1)=>cyclefreeP(cons(X1,nil))),file('/tmp/SRASS.s.p', ax59)).
% fof(53, axiom,![X1]:(ssItem(X1)=>totalorderedP(cons(X1,nil))),file('/tmp/SRASS.s.p', ax65)).
% fof(78, axiom,cyclefreeP(nil),file('/tmp/SRASS.s.p', ax60)).
% fof(81, axiom,totalorderedP(nil),file('/tmp/SRASS.s.p', ax66)).
% fof(96, conjecture,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(ssList(X4)=>((((~(X2=X4)|~(X1=X3))|~(segmentP(X4,X3)))|![X5]:(ssItem(X5)=>![X6]:(ssItem(X6)=>![X7]:(ssList(X7)=>![X8]:(ssList(X8)=>![X9]:(ssList(X9)=>((~(app(app(app(app(X7,cons(X5,nil)),X8),cons(X6,nil)),X9)=X1)|~(leq(X6,X5)))|(![X10]:(ssItem(X10)=>(~(memberP(X8,X10))|(leq(X5,X10)&leq(X10,X6))))&leq(X5,X6)))))))))|(~(singletonP(X3))&neq(X4,nil))))))),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))|~(segmentP(X4,X3)))|![X5]:(ssItem(X5)=>![X6]:(ssItem(X6)=>![X7]:(ssList(X7)=>![X8]:(ssList(X8)=>![X9]:(ssList(X9)=>((~(app(app(app(app(X7,cons(X5,nil)),X8),cons(X6,nil)),X9)=X1)|~(leq(X6,X5)))|(![X10]:(ssItem(X10)=>(~(memberP(X8,X10))|(leq(X5,X10)&leq(X10,X6))))&leq(X5,X6)))))))))|(~(singletonP(X3))&neq(X4,nil)))))))),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))|~(segmentP(X4,X3)))|![X5]:(ssItem(X5)=>![X6]:(ssItem(X6)=>![X7]:(ssList(X7)=>![X8]:(ssList(X8)=>![X9]:(ssList(X9)=>((~(app(app(app(app(X7,cons(X5,nil)),X8),cons(X6,nil)),X9)=X1)|~(leq(X6,X5)))|(![X10]:(ssItem(X10)=>(~(memberP(X8,X10))|(leq(X5,X10)&leq(X10,X6))))&leq(X5,X6)))))))))|(~(singletonP(X3))&neq(X4,nil)))))))),inference(fof_simplification,[status(thm)],[97,theory(equality)])).
% fof(124, plain,![X1]:(~(ssList(X1))|((~(singletonP(X1))|?[X2]:(ssItem(X2)&cons(X2,nil)=X1))&(![X2]:(~(ssItem(X2))|~(cons(X2,nil)=X1))|singletonP(X1)))),inference(fof_nnf,[status(thm)],[4])).
% fof(125, plain,![X3]:(~(ssList(X3))|((~(singletonP(X3))|?[X4]:(ssItem(X4)&cons(X4,nil)=X3))&(![X5]:(~(ssItem(X5))|~(cons(X5,nil)=X3))|singletonP(X3)))),inference(variable_rename,[status(thm)],[124])).
% fof(126, plain,![X3]:(~(ssList(X3))|((~(singletonP(X3))|(ssItem(esk5_1(X3))&cons(esk5_1(X3),nil)=X3))&(![X5]:(~(ssItem(X5))|~(cons(X5,nil)=X3))|singletonP(X3)))),inference(skolemize,[status(esa)],[125])).
% fof(127, plain,![X3]:![X5]:((((~(ssItem(X5))|~(cons(X5,nil)=X3))|singletonP(X3))&(~(singletonP(X3))|(ssItem(esk5_1(X3))&cons(esk5_1(X3),nil)=X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[126])).
% fof(128, plain,![X3]:![X5]:((((~(ssItem(X5))|~(cons(X5,nil)=X3))|singletonP(X3))|~(ssList(X3)))&(((ssItem(esk5_1(X3))|~(singletonP(X3)))|~(ssList(X3)))&((cons(esk5_1(X3),nil)=X3|~(singletonP(X3)))|~(ssList(X3))))),inference(distribute,[status(thm)],[127])).
% cnf(129,plain,(cons(esk5_1(X1),nil)=X1|~ssList(X1)|~singletonP(X1)),inference(split_conjunct,[status(thm)],[128])).
% cnf(130,plain,(ssItem(esk5_1(X1))|~ssList(X1)|~singletonP(X1)),inference(split_conjunct,[status(thm)],[128])).
% fof(132, 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)],[5])).
% fof(133, 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)],[132])).
% fof(134, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|((~(segmentP(X5,X6))|(ssList(esk6_2(X5,X6))&(ssList(esk7_2(X5,X6))&app(app(esk6_2(X5,X6),X6),esk7_2(X5,X6))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(app(X9,X6),X10)=X5)))|segmentP(X5,X6))))),inference(skolemize,[status(esa)],[133])).
% fof(135, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(app(X9,X6),X10)=X5))|~(ssList(X9)))|segmentP(X5,X6))&(~(segmentP(X5,X6))|(ssList(esk6_2(X5,X6))&(ssList(esk7_2(X5,X6))&app(app(esk6_2(X5,X6),X6),esk7_2(X5,X6))=X5))))|~(ssList(X6)))|~(ssList(X5))),inference(shift_quantors,[status(thm)],[134])).
% fof(136, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(app(X9,X6),X10)=X5))|~(ssList(X9)))|segmentP(X5,X6))|~(ssList(X6)))|~(ssList(X5)))&((((ssList(esk6_2(X5,X6))|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))&((((ssList(esk7_2(X5,X6))|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))&(((app(app(esk6_2(X5,X6),X6),esk7_2(X5,X6))=X5|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))))),inference(distribute,[status(thm)],[135])).
% cnf(137,plain,(app(app(esk6_2(X1,X2),X2),esk7_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~segmentP(X1,X2)),inference(split_conjunct,[status(thm)],[136])).
% cnf(138,plain,(ssList(esk7_2(X1,X2))|~ssList(X1)|~ssList(X2)|~segmentP(X1,X2)),inference(split_conjunct,[status(thm)],[136])).
% cnf(139,plain,(ssList(esk6_2(X1,X2))|~ssList(X1)|~ssList(X2)|~segmentP(X1,X2)),inference(split_conjunct,[status(thm)],[136])).
% cnf(140,plain,(segmentP(X1,X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|app(app(X3,X2),X4)!=X1|~ssList(X4)),inference(split_conjunct,[status(thm)],[136])).
% fof(141, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(neq(X1,X2))|~(X1=X2))&(X1=X2|neq(X1,X2))))),inference(fof_nnf,[status(thm)],[6])).
% fof(142, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))),inference(variable_rename,[status(thm)],[141])).
% fof(143, plain,![X3]:![X4]:((~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[142])).
% fof(144, 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)],[143])).
% cnf(145,plain,(neq(X1,X2)|X1=X2|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[144])).
% fof(147, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|ssList(cons(X2,X1)))),inference(fof_nnf,[status(thm)],[7])).
% fof(148, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|ssList(cons(X4,X3)))),inference(variable_rename,[status(thm)],[147])).
% fof(149, plain,![X3]:![X4]:((~(ssItem(X4))|ssList(cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[148])).
% cnf(150,plain,(ssList(cons(X2,X1))|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[149])).
% cnf(151,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[8])).
% fof(173, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|ssList(app(X1,X2)))),inference(fof_nnf,[status(thm)],[13])).
% fof(174, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|ssList(app(X3,X4)))),inference(variable_rename,[status(thm)],[173])).
% fof(175, plain,![X3]:![X4]:((~(ssList(X4))|ssList(app(X3,X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[174])).
% cnf(176,plain,(ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[175])).
% fof(184, plain,![X1]:(~(ssItem(X1))|![X2]:(~(ssItem(X2))|((~(leq(X1,X2))|~(leq(X2,X1)))|X1=X2))),inference(fof_nnf,[status(thm)],[16])).
% fof(185, plain,![X3]:(~(ssItem(X3))|![X4]:(~(ssItem(X4))|((~(leq(X3,X4))|~(leq(X4,X3)))|X3=X4))),inference(variable_rename,[status(thm)],[184])).
% fof(186, plain,![X3]:![X4]:((~(ssItem(X4))|((~(leq(X3,X4))|~(leq(X4,X3)))|X3=X4))|~(ssItem(X3))),inference(shift_quantors,[status(thm)],[185])).
% cnf(187,plain,(X1=X2|~ssItem(X1)|~leq(X2,X1)|~leq(X1,X2)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[186])).
% fof(217, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(segmentP(X1,X2))|~(segmentP(X2,X1)))|X1=X2))),inference(fof_nnf,[status(thm)],[24])).
% fof(218, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(segmentP(X3,X4))|~(segmentP(X4,X3)))|X3=X4))),inference(variable_rename,[status(thm)],[217])).
% fof(219, plain,![X3]:![X4]:((~(ssList(X4))|((~(segmentP(X3,X4))|~(segmentP(X4,X3)))|X3=X4))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[218])).
% cnf(220,plain,(X1=X2|~ssList(X1)|~segmentP(X2,X1)|~segmentP(X1,X2)|~ssList(X2)),inference(split_conjunct,[status(thm)],[219])).
% fof(224, 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)],[26])).
% fof(225, 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)],[224])).
% fof(226, 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)],[225])).
% cnf(227,plain,(segmentP(app(app(X3,X1),X4),X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~segmentP(X1,X2)|~ssList(X4)),inference(split_conjunct,[status(thm)],[226])).
% fof(228, plain,![X1]:(~(ssList(X1))|segmentP(X1,nil)),inference(fof_nnf,[status(thm)],[27])).
% fof(229, plain,![X2]:(~(ssList(X2))|segmentP(X2,nil)),inference(variable_rename,[status(thm)],[228])).
% cnf(230,plain,(segmentP(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[229])).
% fof(244, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|cons(X2,X1)=app(cons(X2,nil),X1))),inference(fof_nnf,[status(thm)],[31])).
% fof(245, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))),inference(variable_rename,[status(thm)],[244])).
% fof(246, plain,![X3]:![X4]:((~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[245])).
% cnf(247,plain,(cons(X2,X1)=app(cons(X2,nil),X1)|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[246])).
% fof(248, 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)],[32])).
% fof(249, 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)],[248])).
% fof(250, 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)],[249])).
% cnf(251,plain,(app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X1)|~ssList(X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[250])).
% fof(262, plain,![X1]:(~(ssList(X1))|((~(cyclefreeP(X1))|![X2]:(~(ssItem(X2))|![X3]:(~(ssItem(X3))|![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(app(X4,cons(X2,X5)),cons(X3,X6))=X1)|(~(leq(X2,X3))|~(leq(X3,X2))))))))))&(?[X2]:(ssItem(X2)&?[X3]:(ssItem(X3)&?[X4]:(ssList(X4)&?[X5]:(ssList(X5)&?[X6]:(ssList(X6)&(app(app(X4,cons(X2,X5)),cons(X3,X6))=X1&(leq(X2,X3)&leq(X3,X2))))))))|cyclefreeP(X1)))),inference(fof_nnf,[status(thm)],[35])).
% fof(263, plain,![X7]:(~(ssList(X7))|((~(cyclefreeP(X7))|![X8]:(~(ssItem(X8))|![X9]:(~(ssItem(X9))|![X10]:(~(ssList(X10))|![X11]:(~(ssList(X11))|![X12]:(~(ssList(X12))|(~(app(app(X10,cons(X8,X11)),cons(X9,X12))=X7)|(~(leq(X8,X9))|~(leq(X9,X8))))))))))&(?[X13]:(ssItem(X13)&?[X14]:(ssItem(X14)&?[X15]:(ssList(X15)&?[X16]:(ssList(X16)&?[X17]:(ssList(X17)&(app(app(X15,cons(X13,X16)),cons(X14,X17))=X7&(leq(X13,X14)&leq(X14,X13))))))))|cyclefreeP(X7)))),inference(variable_rename,[status(thm)],[262])).
% fof(264, plain,![X7]:(~(ssList(X7))|((~(cyclefreeP(X7))|![X8]:(~(ssItem(X8))|![X9]:(~(ssItem(X9))|![X10]:(~(ssList(X10))|![X11]:(~(ssList(X11))|![X12]:(~(ssList(X12))|(~(app(app(X10,cons(X8,X11)),cons(X9,X12))=X7)|(~(leq(X8,X9))|~(leq(X9,X8))))))))))&((ssItem(esk10_1(X7))&(ssItem(esk11_1(X7))&(ssList(esk12_1(X7))&(ssList(esk13_1(X7))&(ssList(esk14_1(X7))&(app(app(esk12_1(X7),cons(esk10_1(X7),esk13_1(X7))),cons(esk11_1(X7),esk14_1(X7)))=X7&(leq(esk10_1(X7),esk11_1(X7))&leq(esk11_1(X7),esk10_1(X7)))))))))|cyclefreeP(X7)))),inference(skolemize,[status(esa)],[263])).
% fof(265, plain,![X7]:![X8]:![X9]:![X10]:![X11]:![X12]:((((((((~(ssList(X12))|(~(app(app(X10,cons(X8,X11)),cons(X9,X12))=X7)|(~(leq(X8,X9))|~(leq(X9,X8)))))|~(ssList(X11)))|~(ssList(X10)))|~(ssItem(X9)))|~(ssItem(X8)))|~(cyclefreeP(X7)))&((ssItem(esk10_1(X7))&(ssItem(esk11_1(X7))&(ssList(esk12_1(X7))&(ssList(esk13_1(X7))&(ssList(esk14_1(X7))&(app(app(esk12_1(X7),cons(esk10_1(X7),esk13_1(X7))),cons(esk11_1(X7),esk14_1(X7)))=X7&(leq(esk10_1(X7),esk11_1(X7))&leq(esk11_1(X7),esk10_1(X7)))))))))|cyclefreeP(X7)))|~(ssList(X7))),inference(shift_quantors,[status(thm)],[264])).
% fof(266, plain,![X7]:![X8]:![X9]:![X10]:![X11]:![X12]:((((((((~(ssList(X12))|(~(app(app(X10,cons(X8,X11)),cons(X9,X12))=X7)|(~(leq(X8,X9))|~(leq(X9,X8)))))|~(ssList(X11)))|~(ssList(X10)))|~(ssItem(X9)))|~(ssItem(X8)))|~(cyclefreeP(X7)))|~(ssList(X7)))&(((ssItem(esk10_1(X7))|cyclefreeP(X7))|~(ssList(X7)))&(((ssItem(esk11_1(X7))|cyclefreeP(X7))|~(ssList(X7)))&(((ssList(esk12_1(X7))|cyclefreeP(X7))|~(ssList(X7)))&(((ssList(esk13_1(X7))|cyclefreeP(X7))|~(ssList(X7)))&(((ssList(esk14_1(X7))|cyclefreeP(X7))|~(ssList(X7)))&(((app(app(esk12_1(X7),cons(esk10_1(X7),esk13_1(X7))),cons(esk11_1(X7),esk14_1(X7)))=X7|cyclefreeP(X7))|~(ssList(X7)))&(((leq(esk10_1(X7),esk11_1(X7))|cyclefreeP(X7))|~(ssList(X7)))&((leq(esk11_1(X7),esk10_1(X7))|cyclefreeP(X7))|~(ssList(X7))))))))))),inference(distribute,[status(thm)],[265])).
% cnf(275,plain,(~ssList(X1)|~cyclefreeP(X1)|~ssItem(X2)|~ssItem(X3)|~ssList(X4)|~ssList(X5)|~leq(X3,X2)|~leq(X2,X3)|app(app(X4,cons(X2,X5)),cons(X3,X6))!=X1|~ssList(X6)),inference(split_conjunct,[status(thm)],[266])).
% fof(290, plain,![X1]:(~(ssList(X1))|((~(totalorderedP(X1))|![X2]:(~(ssItem(X2))|![X3]:(~(ssItem(X3))|![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(app(X4,cons(X2,X5)),cons(X3,X6))=X1)|leq(X2,X3))))))))&(?[X2]:(ssItem(X2)&?[X3]:(ssItem(X3)&?[X4]:(ssList(X4)&?[X5]:(ssList(X5)&?[X6]:(ssList(X6)&(app(app(X4,cons(X2,X5)),cons(X3,X6))=X1&~(leq(X2,X3))))))))|totalorderedP(X1)))),inference(fof_nnf,[status(thm)],[37])).
% fof(291, plain,![X7]:(~(ssList(X7))|((~(totalorderedP(X7))|![X8]:(~(ssItem(X8))|![X9]:(~(ssItem(X9))|![X10]:(~(ssList(X10))|![X11]:(~(ssList(X11))|![X12]:(~(ssList(X12))|(~(app(app(X10,cons(X8,X11)),cons(X9,X12))=X7)|leq(X8,X9))))))))&(?[X13]:(ssItem(X13)&?[X14]:(ssItem(X14)&?[X15]:(ssList(X15)&?[X16]:(ssList(X16)&?[X17]:(ssList(X17)&(app(app(X15,cons(X13,X16)),cons(X14,X17))=X7&~(leq(X13,X14))))))))|totalorderedP(X7)))),inference(variable_rename,[status(thm)],[290])).
% fof(292, plain,![X7]:(~(ssList(X7))|((~(totalorderedP(X7))|![X8]:(~(ssItem(X8))|![X9]:(~(ssItem(X9))|![X10]:(~(ssList(X10))|![X11]:(~(ssList(X11))|![X12]:(~(ssList(X12))|(~(app(app(X10,cons(X8,X11)),cons(X9,X12))=X7)|leq(X8,X9))))))))&((ssItem(esk20_1(X7))&(ssItem(esk21_1(X7))&(ssList(esk22_1(X7))&(ssList(esk23_1(X7))&(ssList(esk24_1(X7))&(app(app(esk22_1(X7),cons(esk20_1(X7),esk23_1(X7))),cons(esk21_1(X7),esk24_1(X7)))=X7&~(leq(esk20_1(X7),esk21_1(X7)))))))))|totalorderedP(X7)))),inference(skolemize,[status(esa)],[291])).
% fof(293, plain,![X7]:![X8]:![X9]:![X10]:![X11]:![X12]:((((((((~(ssList(X12))|(~(app(app(X10,cons(X8,X11)),cons(X9,X12))=X7)|leq(X8,X9)))|~(ssList(X11)))|~(ssList(X10)))|~(ssItem(X9)))|~(ssItem(X8)))|~(totalorderedP(X7)))&((ssItem(esk20_1(X7))&(ssItem(esk21_1(X7))&(ssList(esk22_1(X7))&(ssList(esk23_1(X7))&(ssList(esk24_1(X7))&(app(app(esk22_1(X7),cons(esk20_1(X7),esk23_1(X7))),cons(esk21_1(X7),esk24_1(X7)))=X7&~(leq(esk20_1(X7),esk21_1(X7)))))))))|totalorderedP(X7)))|~(ssList(X7))),inference(shift_quantors,[status(thm)],[292])).
% fof(294, plain,![X7]:![X8]:![X9]:![X10]:![X11]:![X12]:((((((((~(ssList(X12))|(~(app(app(X10,cons(X8,X11)),cons(X9,X12))=X7)|leq(X8,X9)))|~(ssList(X11)))|~(ssList(X10)))|~(ssItem(X9)))|~(ssItem(X8)))|~(totalorderedP(X7)))|~(ssList(X7)))&(((ssItem(esk20_1(X7))|totalorderedP(X7))|~(ssList(X7)))&(((ssItem(esk21_1(X7))|totalorderedP(X7))|~(ssList(X7)))&(((ssList(esk22_1(X7))|totalorderedP(X7))|~(ssList(X7)))&(((ssList(esk23_1(X7))|totalorderedP(X7))|~(ssList(X7)))&(((ssList(esk24_1(X7))|totalorderedP(X7))|~(ssList(X7)))&(((app(app(esk22_1(X7),cons(esk20_1(X7),esk23_1(X7))),cons(esk21_1(X7),esk24_1(X7)))=X7|totalorderedP(X7))|~(ssList(X7)))&((~(leq(esk20_1(X7),esk21_1(X7)))|totalorderedP(X7))|~(ssList(X7)))))))))),inference(distribute,[status(thm)],[293])).
% cnf(302,plain,(leq(X2,X3)|~ssList(X1)|~totalorderedP(X1)|~ssItem(X2)|~ssItem(X3)|~ssList(X4)|~ssList(X5)|app(app(X4,cons(X2,X5)),cons(X3,X6))!=X1|~ssList(X6)),inference(split_conjunct,[status(thm)],[294])).
% fof(380, plain,![X1]:(~(ssItem(X1))|cyclefreeP(cons(X1,nil))),inference(fof_nnf,[status(thm)],[50])).
% fof(381, plain,![X2]:(~(ssItem(X2))|cyclefreeP(cons(X2,nil))),inference(variable_rename,[status(thm)],[380])).
% cnf(382,plain,(cyclefreeP(cons(X1,nil))|~ssItem(X1)),inference(split_conjunct,[status(thm)],[381])).
% fof(389, plain,![X1]:(~(ssItem(X1))|totalorderedP(cons(X1,nil))),inference(fof_nnf,[status(thm)],[53])).
% fof(390, plain,![X2]:(~(ssItem(X2))|totalorderedP(cons(X2,nil))),inference(variable_rename,[status(thm)],[389])).
% cnf(391,plain,(totalorderedP(cons(X1,nil))|~ssItem(X1)),inference(split_conjunct,[status(thm)],[390])).
% cnf(512,plain,(cyclefreeP(nil)),inference(split_conjunct,[status(thm)],[78])).
% cnf(515,plain,(totalorderedP(nil)),inference(split_conjunct,[status(thm)],[81])).
% fof(568, negated_conjecture,?[X1]:(ssList(X1)&?[X2]:(ssList(X2)&?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&((((X2=X4&X1=X3)&segmentP(X4,X3))&?[X5]:(ssItem(X5)&?[X6]:(ssItem(X6)&?[X7]:(ssList(X7)&?[X8]:(ssList(X8)&?[X9]:(ssList(X9)&((app(app(app(app(X7,cons(X5,nil)),X8),cons(X6,nil)),X9)=X1&leq(X6,X5))&(?[X10]:(ssItem(X10)&(memberP(X8,X10)&(~(leq(X5,X10))|~(leq(X10,X6)))))|~(leq(X5,X6))))))))))&(singletonP(X3)|~(neq(X4,nil)))))))),inference(fof_nnf,[status(thm)],[103])).
% fof(569, negated_conjecture,?[X11]:(ssList(X11)&?[X12]:(ssList(X12)&?[X13]:(ssList(X13)&?[X14]:(ssList(X14)&((((X12=X14&X11=X13)&segmentP(X14,X13))&?[X15]:(ssItem(X15)&?[X16]:(ssItem(X16)&?[X17]:(ssList(X17)&?[X18]:(ssList(X18)&?[X19]:(ssList(X19)&((app(app(app(app(X17,cons(X15,nil)),X18),cons(X16,nil)),X19)=X11&leq(X16,X15))&(?[X20]:(ssItem(X20)&(memberP(X18,X20)&(~(leq(X15,X20))|~(leq(X20,X16)))))|~(leq(X15,X16))))))))))&(singletonP(X13)|~(neq(X14,nil)))))))),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)&segmentP(esk51_0,esk50_0))&(ssItem(esk52_0)&(ssItem(esk53_0)&(ssList(esk54_0)&(ssList(esk55_0)&(ssList(esk56_0)&((app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0)=esk48_0&leq(esk53_0,esk52_0))&((ssItem(esk57_0)&(memberP(esk55_0,esk57_0)&(~(leq(esk52_0,esk57_0))|~(leq(esk57_0,esk53_0)))))|~(leq(esk52_0,esk53_0))))))))))&(singletonP(esk50_0)|~(neq(esk51_0,nil)))))))),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)&segmentP(esk51_0,esk50_0))&(ssItem(esk52_0)&(ssItem(esk53_0)&(ssList(esk54_0)&(ssList(esk55_0)&(ssList(esk56_0)&((app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0)=esk48_0&leq(esk53_0,esk52_0))&((ssItem(esk57_0)|~(leq(esk52_0,esk53_0)))&((memberP(esk55_0,esk57_0)|~(leq(esk52_0,esk53_0)))&((~(leq(esk52_0,esk57_0))|~(leq(esk57_0,esk53_0)))|~(leq(esk52_0,esk53_0))))))))))))&(singletonP(esk50_0)|~(neq(esk51_0,nil)))))))),inference(distribute,[status(thm)],[570])).
% cnf(572,negated_conjecture,(singletonP(esk50_0)|~neq(esk51_0,nil)),inference(split_conjunct,[status(thm)],[571])).
% cnf(576,negated_conjecture,(leq(esk53_0,esk52_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(577,negated_conjecture,(app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0)=esk48_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(578,negated_conjecture,(ssList(esk56_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(579,negated_conjecture,(ssList(esk55_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(580,negated_conjecture,(ssList(esk54_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(581,negated_conjecture,(ssItem(esk53_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(582,negated_conjecture,(ssItem(esk52_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(583,negated_conjecture,(segmentP(esk51_0,esk50_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(584,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(585,negated_conjecture,(esk49_0=esk51_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(588,negated_conjecture,(ssList(esk49_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(589,negated_conjecture,(ssList(esk48_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(590,negated_conjecture,(ssList(esk50_0)),inference(rw,[status(thm)],[589,584,theory(equality)])).
% cnf(591,negated_conjecture,(ssList(esk51_0)),inference(rw,[status(thm)],[588,585,theory(equality)])).
% cnf(594,negated_conjecture,(app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0)=esk50_0),inference(rw,[status(thm)],[577,584,theory(equality)])).
% cnf(634,plain,(cyclefreeP(X1)|~ssItem(esk5_1(X1))|~singletonP(X1)|~ssList(X1)),inference(spm,[status(thm)],[382,129,theory(equality)])).
% cnf(636,plain,(totalorderedP(X1)|~ssItem(esk5_1(X1))|~singletonP(X1)|~ssList(X1)),inference(spm,[status(thm)],[391,129,theory(equality)])).
% cnf(669,negated_conjecture,(singletonP(esk50_0)|esk51_0=nil|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[572,145,theory(equality)])).
% cnf(670,negated_conjecture,(singletonP(esk50_0)|esk51_0=nil|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[669,151,theory(equality)])).
% cnf(671,negated_conjecture,(singletonP(esk50_0)|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[670,591,theory(equality)])).
% cnf(672,negated_conjecture,(singletonP(esk50_0)|esk51_0=nil),inference(cn,[status(thm)],[671,theory(equality)])).
% cnf(704,negated_conjecture,(esk52_0=esk53_0|~leq(esk52_0,esk53_0)|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[187,576,theory(equality)])).
% cnf(705,negated_conjecture,(esk52_0=esk53_0|~leq(esk52_0,esk53_0)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[704,581,theory(equality)])).
% cnf(706,negated_conjecture,(esk52_0=esk53_0|~leq(esk52_0,esk53_0)|$false|$false),inference(rw,[status(thm)],[705,582,theory(equality)])).
% cnf(707,negated_conjecture,(esk52_0=esk53_0|~leq(esk52_0,esk53_0)),inference(cn,[status(thm)],[706,theory(equality)])).
% cnf(708,negated_conjecture,(esk50_0=esk51_0|~segmentP(esk50_0,esk51_0)|~ssList(esk51_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[220,583,theory(equality)])).
% cnf(710,negated_conjecture,(esk50_0=esk51_0|~segmentP(esk50_0,esk51_0)|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[708,591,theory(equality)])).
% cnf(711,negated_conjecture,(esk50_0=esk51_0|~segmentP(esk50_0,esk51_0)|$false|$false),inference(rw,[status(thm)],[710,590,theory(equality)])).
% cnf(712,negated_conjecture,(esk50_0=esk51_0|~segmentP(esk50_0,esk51_0)),inference(cn,[status(thm)],[711,theory(equality)])).
% cnf(877,plain,(segmentP(app(app(X1,X2),X3),X2)|~ssList(X3)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X3))),inference(er,[status(thm)],[140,theory(equality)])).
% cnf(957,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(esk56_0)|~ssList(cons(esk53_0,nil))|~ssList(app(app(esk54_0,cons(esk52_0,nil)),esk55_0))),inference(spm,[status(thm)],[594,251,theory(equality)])).
% cnf(958,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|~ssList(esk55_0)|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(spm,[status(thm)],[594,251,theory(equality)])).
% cnf(968,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|$false|~ssList(cons(esk53_0,nil))|~ssList(app(app(esk54_0,cons(esk52_0,nil)),esk55_0))),inference(rw,[status(thm)],[957,578,theory(equality)])).
% cnf(969,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(cons(esk53_0,nil))|~ssList(app(app(esk54_0,cons(esk52_0,nil)),esk55_0))),inference(cn,[status(thm)],[968,theory(equality)])).
% cnf(970,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(rw,[status(thm)],[958,579,theory(equality)])).
% cnf(971,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[970,580,theory(equality)])).
% cnf(972,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[971,theory(equality)])).
% cnf(1019,plain,(segmentP(app(app(X1,X2),X3),nil)|~ssList(X3)|~ssList(X1)|~ssList(nil)|~ssList(X2)),inference(spm,[status(thm)],[227,230,theory(equality)])).
% cnf(1024,plain,(segmentP(app(app(X1,X2),X3),nil)|~ssList(X3)|~ssList(X1)|$false|~ssList(X2)),inference(rw,[status(thm)],[1019,151,theory(equality)])).
% cnf(1025,plain,(segmentP(app(app(X1,X2),X3),nil)|~ssList(X3)|~ssList(X1)|~ssList(X2)),inference(cn,[status(thm)],[1024,theory(equality)])).
% cnf(1114,plain,(~cyclefreeP(app(app(X1,cons(X2,X3)),cons(X4,X5)))|~leq(X4,X2)|~leq(X2,X4)|~ssList(X5)|~ssList(X3)|~ssList(X1)|~ssList(app(app(X1,cons(X2,X3)),cons(X4,X5)))|~ssItem(X4)|~ssItem(X2)),inference(er,[status(thm)],[275,theory(equality)])).
% cnf(1629,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[972,150,theory(equality)])).
% cnf(1630,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1629,151,theory(equality)])).
% cnf(1631,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|$false),inference(rw,[status(thm)],[1630,582,theory(equality)])).
% cnf(1632,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0),inference(cn,[status(thm)],[1631,theory(equality)])).
% cnf(1650,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1632,247,theory(equality)])).
% cnf(1690,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1650,579,theory(equality)])).
% cnf(1691,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|$false),inference(rw,[status(thm)],[1690,582,theory(equality)])).
% cnf(1692,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0),inference(cn,[status(thm)],[1691,theory(equality)])).
% cnf(1709,negated_conjecture,(esk50_0=app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))|~ssList(esk56_0)|~ssList(cons(esk53_0,nil))|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))),inference(spm,[status(thm)],[251,1692,theory(equality)])).
% cnf(1741,negated_conjecture,(esk50_0=app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))|$false|~ssList(cons(esk53_0,nil))|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))),inference(rw,[status(thm)],[1709,578,theory(equality)])).
% cnf(1742,negated_conjecture,(esk50_0=app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))|~ssList(cons(esk53_0,nil))|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))),inference(cn,[status(thm)],[1741,theory(equality)])).
% cnf(2522,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[1742,150,theory(equality)])).
% cnf(2523,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2522,151,theory(equality)])).
% cnf(2524,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))|$false|$false),inference(rw,[status(thm)],[2523,581,theory(equality)])).
% cnf(2525,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))),inference(cn,[status(thm)],[2524,theory(equality)])).
% cnf(2527,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(cons(esk52_0,esk55_0))|~ssList(esk54_0)),inference(spm,[status(thm)],[2525,176,theory(equality)])).
% cnf(2528,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(cons(esk52_0,esk55_0))|$false),inference(rw,[status(thm)],[2527,580,theory(equality)])).
% cnf(2529,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(cons(esk52_0,esk55_0))),inference(cn,[status(thm)],[2528,theory(equality)])).
% cnf(2530,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[2529,150,theory(equality)])).
% cnf(2531,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2530,579,theory(equality)])).
% cnf(2532,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[2531,582,theory(equality)])).
% cnf(2533,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0),inference(cn,[status(thm)],[2532,theory(equality)])).
% cnf(2551,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,esk56_0))=esk50_0|~ssList(esk56_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[2533,247,theory(equality)])).
% cnf(2564,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,esk56_0))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2551,578,theory(equality)])).
% cnf(2565,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,esk56_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[2564,581,theory(equality)])).
% cnf(2566,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,esk56_0))=esk50_0),inference(cn,[status(thm)],[2565,theory(equality)])).
% cnf(2589,negated_conjecture,(leq(esk52_0,esk53_0)|esk50_0!=X1|~totalorderedP(X1)|~ssList(esk56_0)|~ssList(esk55_0)|~ssList(esk54_0)|~ssList(X1)|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[302,2566,theory(equality)])).
% cnf(2618,negated_conjecture,(leq(esk52_0,esk53_0)|esk50_0!=X1|~totalorderedP(X1)|$false|~ssList(esk55_0)|~ssList(esk54_0)|~ssList(X1)|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[2589,578,theory(equality)])).
% cnf(2619,negated_conjecture,(leq(esk52_0,esk53_0)|esk50_0!=X1|~totalorderedP(X1)|$false|$false|~ssList(esk54_0)|~ssList(X1)|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[2618,579,theory(equality)])).
% cnf(2620,negated_conjecture,(leq(esk52_0,esk53_0)|esk50_0!=X1|~totalorderedP(X1)|$false|$false|$false|~ssList(X1)|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[2619,580,theory(equality)])).
% cnf(2621,negated_conjecture,(leq(esk52_0,esk53_0)|esk50_0!=X1|~totalorderedP(X1)|$false|$false|$false|~ssList(X1)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2620,581,theory(equality)])).
% cnf(2622,negated_conjecture,(leq(esk52_0,esk53_0)|esk50_0!=X1|~totalorderedP(X1)|$false|$false|$false|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[2621,582,theory(equality)])).
% cnf(2623,negated_conjecture,(leq(esk52_0,esk53_0)|esk50_0!=X1|~totalorderedP(X1)|~ssList(X1)),inference(cn,[status(thm)],[2622,theory(equality)])).
% cnf(2726,plain,(cyclefreeP(X1)|~singletonP(X1)|~ssList(X1)),inference(csr,[status(thm)],[634,130])).
% cnf(2727,negated_conjecture,(cyclefreeP(esk50_0)|esk51_0=nil|~ssList(esk50_0)),inference(spm,[status(thm)],[2726,672,theory(equality)])).
% cnf(2728,negated_conjecture,(cyclefreeP(esk50_0)|esk51_0=nil|$false),inference(rw,[status(thm)],[2727,590,theory(equality)])).
% cnf(2729,negated_conjecture,(cyclefreeP(esk50_0)|esk51_0=nil),inference(cn,[status(thm)],[2728,theory(equality)])).
% cnf(3053,plain,(totalorderedP(X1)|~singletonP(X1)|~ssList(X1)),inference(csr,[status(thm)],[636,130])).
% cnf(3054,negated_conjecture,(totalorderedP(esk50_0)|esk51_0=nil|~ssList(esk50_0)),inference(spm,[status(thm)],[3053,672,theory(equality)])).
% cnf(3055,negated_conjecture,(totalorderedP(esk50_0)|esk51_0=nil|$false),inference(rw,[status(thm)],[3054,590,theory(equality)])).
% cnf(3056,negated_conjecture,(totalorderedP(esk50_0)|esk51_0=nil),inference(cn,[status(thm)],[3055,theory(equality)])).
% cnf(5329,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(app(app(esk54_0,cons(esk52_0,nil)),esk55_0))|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[969,150,theory(equality)])).
% cnf(5330,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(app(app(esk54_0,cons(esk52_0,nil)),esk55_0))|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[5329,151,theory(equality)])).
% cnf(5331,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(app(app(esk54_0,cons(esk52_0,nil)),esk55_0))|$false|$false),inference(rw,[status(thm)],[5330,581,theory(equality)])).
% cnf(5332,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(app(app(esk54_0,cons(esk52_0,nil)),esk55_0))),inference(cn,[status(thm)],[5331,theory(equality)])).
% cnf(5334,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(esk55_0)|~ssList(app(esk54_0,cons(esk52_0,nil)))),inference(spm,[status(thm)],[5332,176,theory(equality)])).
% cnf(5338,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|$false|~ssList(app(esk54_0,cons(esk52_0,nil)))),inference(rw,[status(thm)],[5334,579,theory(equality)])).
% cnf(5339,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(app(esk54_0,cons(esk52_0,nil)))),inference(cn,[status(thm)],[5338,theory(equality)])).
% cnf(5340,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(spm,[status(thm)],[5339,176,theory(equality)])).
% cnf(5341,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[5340,580,theory(equality)])).
% cnf(5342,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[5341,theory(equality)])).
% cnf(5410,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[5342,150,theory(equality)])).
% cnf(5411,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[5410,151,theory(equality)])).
% cnf(5412,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[5411,582,theory(equality)])).
% cnf(5413,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0),inference(cn,[status(thm)],[5412,theory(equality)])).
% cnf(5431,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,esk56_0))=esk50_0|~ssList(esk56_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[5413,247,theory(equality)])).
% cnf(5445,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,esk56_0))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[5431,578,theory(equality)])).
% cnf(5446,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,esk56_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[5445,581,theory(equality)])).
% cnf(5447,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,esk56_0))=esk50_0),inference(cn,[status(thm)],[5446,theory(equality)])).
% cnf(6921,negated_conjecture,(leq(esk52_0,esk53_0)|~totalorderedP(esk50_0)|~ssList(esk50_0)),inference(er,[status(thm)],[2623,theory(equality)])).
% cnf(6922,negated_conjecture,(leq(esk52_0,esk53_0)|~totalorderedP(esk50_0)|$false),inference(rw,[status(thm)],[6921,590,theory(equality)])).
% cnf(6923,negated_conjecture,(leq(esk52_0,esk53_0)|~totalorderedP(esk50_0)),inference(cn,[status(thm)],[6922,theory(equality)])).
% cnf(6924,negated_conjecture,(leq(esk52_0,esk53_0)|esk51_0=nil),inference(spm,[status(thm)],[6923,3056,theory(equality)])).
% cnf(6926,negated_conjecture,(esk53_0=esk52_0|esk51_0=nil|~leq(esk53_0,esk52_0)|~ssItem(esk52_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[187,6924,theory(equality)])).
% cnf(6939,negated_conjecture,(esk53_0=esk52_0|esk51_0=nil|$false|~ssItem(esk52_0)|~ssItem(esk53_0)),inference(rw,[status(thm)],[6926,576,theory(equality)])).
% cnf(6940,negated_conjecture,(esk53_0=esk52_0|esk51_0=nil|$false|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[6939,582,theory(equality)])).
% cnf(6941,negated_conjecture,(esk53_0=esk52_0|esk51_0=nil|$false|$false|$false),inference(rw,[status(thm)],[6940,581,theory(equality)])).
% cnf(6942,negated_conjecture,(esk53_0=esk52_0|esk51_0=nil),inference(cn,[status(thm)],[6941,theory(equality)])).
% cnf(6957,negated_conjecture,(esk50_0=nil|esk53_0=esk52_0|~segmentP(esk50_0,nil)),inference(spm,[status(thm)],[712,6942,theory(equality)])).
% cnf(6998,negated_conjecture,(esk53_0=esk52_0|esk50_0=nil|~ssList(esk50_0)),inference(spm,[status(thm)],[6957,230,theory(equality)])).
% cnf(6999,negated_conjecture,(esk53_0=esk52_0|esk50_0=nil|$false),inference(rw,[status(thm)],[6998,590,theory(equality)])).
% cnf(7000,negated_conjecture,(esk53_0=esk52_0|esk50_0=nil),inference(cn,[status(thm)],[6999,theory(equality)])).
% cnf(7141,negated_conjecture,(leq(esk52_0,esk53_0)|esk53_0=esk52_0|~totalorderedP(nil)),inference(spm,[status(thm)],[6923,7000,theory(equality)])).
% cnf(7152,negated_conjecture,(leq(esk52_0,esk53_0)|esk53_0=esk52_0|$false),inference(rw,[status(thm)],[7141,515,theory(equality)])).
% cnf(7153,negated_conjecture,(leq(esk52_0,esk53_0)|esk53_0=esk52_0),inference(cn,[status(thm)],[7152,theory(equality)])).
% cnf(7154,negated_conjecture,(esk53_0=esk52_0),inference(csr,[status(thm)],[7153,707])).
% cnf(7200,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk52_0,esk56_0))=esk50_0),inference(rw,[status(thm)],[5447,7154,theory(equality)])).
% cnf(7330,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk52_0,esk56_0))=esk50_0),inference(rw,[status(thm)],[2566,7154,theory(equality)])).
% cnf(7423,negated_conjecture,(leq(esk52_0,esk52_0)),inference(rw,[status(thm)],[576,7154,theory(equality)])).
% cnf(14236,negated_conjecture,(segmentP(esk50_0,esk55_0)|~ssList(esk50_0)|~ssList(cons(esk52_0,esk56_0))|~ssList(app(esk54_0,cons(esk52_0,nil)))|~ssList(esk55_0)),inference(spm,[status(thm)],[877,7200,theory(equality)])).
% cnf(14437,negated_conjecture,(segmentP(esk50_0,esk55_0)|$false|~ssList(cons(esk52_0,esk56_0))|~ssList(app(esk54_0,cons(esk52_0,nil)))|~ssList(esk55_0)),inference(rw,[status(thm)],[14236,590,theory(equality)])).
% cnf(14438,negated_conjecture,(segmentP(esk50_0,esk55_0)|$false|~ssList(cons(esk52_0,esk56_0))|~ssList(app(esk54_0,cons(esk52_0,nil)))|$false),inference(rw,[status(thm)],[14437,579,theory(equality)])).
% cnf(14439,negated_conjecture,(segmentP(esk50_0,esk55_0)|~ssList(cons(esk52_0,esk56_0))|~ssList(app(esk54_0,cons(esk52_0,nil)))),inference(cn,[status(thm)],[14438,theory(equality)])).
% cnf(14443,negated_conjecture,(segmentP(esk50_0,esk55_0)|~ssList(app(esk54_0,cons(esk52_0,nil)))|~ssList(esk56_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[14439,150,theory(equality)])).
% cnf(14444,negated_conjecture,(segmentP(esk50_0,esk55_0)|~ssList(app(esk54_0,cons(esk52_0,nil)))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[14443,578,theory(equality)])).
% cnf(14445,negated_conjecture,(segmentP(esk50_0,esk55_0)|~ssList(app(esk54_0,cons(esk52_0,nil)))|$false|$false),inference(rw,[status(thm)],[14444,582,theory(equality)])).
% cnf(14446,negated_conjecture,(segmentP(esk50_0,esk55_0)|~ssList(app(esk54_0,cons(esk52_0,nil)))),inference(cn,[status(thm)],[14445,theory(equality)])).
% cnf(14447,negated_conjecture,(segmentP(esk50_0,esk55_0)|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(spm,[status(thm)],[14446,176,theory(equality)])).
% cnf(14448,negated_conjecture,(segmentP(esk50_0,esk55_0)|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[14447,580,theory(equality)])).
% cnf(14449,negated_conjecture,(segmentP(esk50_0,esk55_0)|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[14448,theory(equality)])).
% cnf(14450,negated_conjecture,(segmentP(esk50_0,esk55_0)|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[14449,150,theory(equality)])).
% cnf(14451,negated_conjecture,(segmentP(esk50_0,esk55_0)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[14450,151,theory(equality)])).
% cnf(14452,negated_conjecture,(segmentP(esk50_0,esk55_0)|$false|$false),inference(rw,[status(thm)],[14451,582,theory(equality)])).
% cnf(14453,negated_conjecture,(segmentP(esk50_0,esk55_0)),inference(cn,[status(thm)],[14452,theory(equality)])).
% cnf(14455,negated_conjecture,(ssList(esk6_2(esk50_0,esk55_0))|~ssList(esk55_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[139,14453,theory(equality)])).
% cnf(14456,negated_conjecture,(ssList(esk7_2(esk50_0,esk55_0))|~ssList(esk55_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[138,14453,theory(equality)])).
% cnf(14457,negated_conjecture,(app(app(esk6_2(esk50_0,esk55_0),esk55_0),esk7_2(esk50_0,esk55_0))=esk50_0|~ssList(esk55_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[137,14453,theory(equality)])).
% cnf(14465,negated_conjecture,(ssList(esk6_2(esk50_0,esk55_0))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[14455,579,theory(equality)])).
% cnf(14466,negated_conjecture,(ssList(esk6_2(esk50_0,esk55_0))|$false|$false),inference(rw,[status(thm)],[14465,590,theory(equality)])).
% cnf(14467,negated_conjecture,(ssList(esk6_2(esk50_0,esk55_0))),inference(cn,[status(thm)],[14466,theory(equality)])).
% cnf(14468,negated_conjecture,(ssList(esk7_2(esk50_0,esk55_0))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[14456,579,theory(equality)])).
% cnf(14469,negated_conjecture,(ssList(esk7_2(esk50_0,esk55_0))|$false|$false),inference(rw,[status(thm)],[14468,590,theory(equality)])).
% cnf(14470,negated_conjecture,(ssList(esk7_2(esk50_0,esk55_0))),inference(cn,[status(thm)],[14469,theory(equality)])).
% cnf(14471,negated_conjecture,(app(app(esk6_2(esk50_0,esk55_0),esk55_0),esk7_2(esk50_0,esk55_0))=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[14457,579,theory(equality)])).
% cnf(14472,negated_conjecture,(app(app(esk6_2(esk50_0,esk55_0),esk55_0),esk7_2(esk50_0,esk55_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[14471,590,theory(equality)])).
% cnf(14473,negated_conjecture,(app(app(esk6_2(esk50_0,esk55_0),esk55_0),esk7_2(esk50_0,esk55_0))=esk50_0),inference(cn,[status(thm)],[14472,theory(equality)])).
% cnf(35829,negated_conjecture,(segmentP(esk50_0,nil)|~ssList(esk7_2(esk50_0,esk55_0))|~ssList(esk6_2(esk50_0,esk55_0))|~ssList(esk55_0)),inference(spm,[status(thm)],[1025,14473,theory(equality)])).
% cnf(36067,negated_conjecture,(segmentP(esk50_0,nil)|$false|~ssList(esk6_2(esk50_0,esk55_0))|~ssList(esk55_0)),inference(rw,[status(thm)],[35829,14470,theory(equality)])).
% cnf(36068,negated_conjecture,(segmentP(esk50_0,nil)|$false|$false|~ssList(esk55_0)),inference(rw,[status(thm)],[36067,14467,theory(equality)])).
% cnf(36069,negated_conjecture,(segmentP(esk50_0,nil)|$false|$false|$false),inference(rw,[status(thm)],[36068,579,theory(equality)])).
% cnf(36070,negated_conjecture,(segmentP(esk50_0,nil)),inference(cn,[status(thm)],[36069,theory(equality)])).
% cnf(46444,negated_conjecture,(~cyclefreeP(esk50_0)|~leq(esk52_0,esk52_0)|~ssList(esk50_0)|~ssList(esk56_0)|~ssList(esk55_0)|~ssList(esk54_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1114,7330,theory(equality)])).
% cnf(46551,negated_conjecture,(~cyclefreeP(esk50_0)|$false|~ssList(esk50_0)|~ssList(esk56_0)|~ssList(esk55_0)|~ssList(esk54_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[46444,7423,theory(equality)])).
% cnf(46552,negated_conjecture,(~cyclefreeP(esk50_0)|$false|$false|~ssList(esk56_0)|~ssList(esk55_0)|~ssList(esk54_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[46551,590,theory(equality)])).
% cnf(46553,negated_conjecture,(~cyclefreeP(esk50_0)|$false|$false|$false|~ssList(esk55_0)|~ssList(esk54_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[46552,578,theory(equality)])).
% cnf(46554,negated_conjecture,(~cyclefreeP(esk50_0)|$false|$false|$false|$false|~ssList(esk54_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[46553,579,theory(equality)])).
% cnf(46555,negated_conjecture,(~cyclefreeP(esk50_0)|$false|$false|$false|$false|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[46554,580,theory(equality)])).
% cnf(46556,negated_conjecture,(~cyclefreeP(esk50_0)|$false|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[46555,582,theory(equality)])).
% cnf(46557,negated_conjecture,(~cyclefreeP(esk50_0)),inference(cn,[status(thm)],[46556,theory(equality)])).
% cnf(46564,negated_conjecture,(esk51_0=nil),inference(sr,[status(thm)],[2729,46557,theory(equality)])).
% cnf(46779,negated_conjecture,(esk50_0=nil|~segmentP(esk50_0,esk51_0)),inference(rw,[status(thm)],[712,46564,theory(equality)])).
% cnf(46780,negated_conjecture,(esk50_0=nil|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[46779,46564,theory(equality)]),36070,theory(equality)])).
% cnf(46781,negated_conjecture,(esk50_0=nil),inference(cn,[status(thm)],[46780,theory(equality)])).
% cnf(46786,negated_conjecture,($false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[46557,46781,theory(equality)]),512,theory(equality)])).
% cnf(46787,negated_conjecture,($false),inference(cn,[status(thm)],[46786,theory(equality)])).
% cnf(46788,negated_conjecture,($false),46787,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 2775
% # ...of these trivial : 294
% # ...subsumed : 930
% # ...remaining for further processing: 1551
% # Other redundant clauses eliminated : 259
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 200
% # Backward-rewritten : 936
% # Generated clauses : 17448
% # ...of the previous two non-trivial : 16214
% # Contextual simplify-reflections : 856
% # Paramodulations : 17112
% # Factorizations : 0
% # Equation resolutions : 335
% # Current number of processed clauses: 408
% # Positive orientable unit clauses: 42
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 2
% # Non-unit-clauses : 364
% # Current number of unprocessed clauses: 4140
% # ...number of literals in the above : 30901
% # Clause-clause subsumption calls (NU) : 102990
% # Rec. Clause-clause subsumption calls : 63855
% # Unit Clause-clause subsumption calls : 3863
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 481
% # Indexed BW rewrite successes : 80
% # Backwards rewriting index: 402 leaves, 1.44+/-1.271 terms/leaf
% # Paramod-from index: 192 leaves, 1.00+/-0.000 terms/leaf
% # Paramod-into index: 337 leaves, 1.31+/-1.148 terms/leaf
% # -------------------------------------------------
% # User time : 1.105 s
% # System time : 0.024 s
% # Total time : 1.129 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.88 CPU 2.00 WC
% FINAL PrfWatch: 1.88 CPU 2.00 WC
% SZS output end Solution for /tmp/SystemOnTPTP30529/SWC162+1.tptp
%
%------------------------------------------------------------------------------