TSTP Solution File: SWC152+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC152+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 : art06.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 07:11:05 EST 2010
% Result : Theorem 4.70s
% Output : Solution 4.70s
% 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/SystemOnTPTP16093/SWC152+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP16093/SWC152+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP16093/SWC152+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 16189
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.93 CPU 2.01 WC
% # Preprocessing time : 0.031 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(3, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>ssList(cons(X2,X1)))),file('/tmp/SRASS.s.p', ax16)).
% fof(4, axiom,ssList(nil),file('/tmp/SRASS.s.p', ax17)).
% fof(9, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>ssList(app(X1,X2)))),file('/tmp/SRASS.s.p', ax26)).
% fof(20, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>cons(X2,X1)=app(cons(X2,nil),X1))),file('/tmp/SRASS.s.p', ax81)).
% fof(21, 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(24, 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(26, 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(40, axiom,![X1]:(ssItem(X1)=>cyclefreeP(cons(X1,nil))),file('/tmp/SRASS.s.p', ax59)).
% fof(43, axiom,![X1]:(ssItem(X1)=>totalorderedP(cons(X1,nil))),file('/tmp/SRASS.s.p', ax65)).
% fof(75, axiom,cyclefreeP(nil),file('/tmp/SRASS.s.p', ax60)).
% fof(78, 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))|![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))))))))|(![X11]:(((~(ssItem(X11))|~(cons(X11,nil)=X3))|~(memberP(X4,X11)))|?[X12]:(((ssItem(X12)&~(X11=X12))&memberP(X4,X12))&leq(X11,X12)))&(~(nil=X4)|~(nil=X3))))))),file('/tmp/SRASS.s.p', co1)).
% fof(97, negated_conjecture,~(![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:((((~(ssList(X4))|~(X2=X4))|~(X1=X3))|![X5]:(ssItem(X5)=>![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))))))))|(![X11]:(((~(ssItem(X11))|~(cons(X11,nil)=X3))|~(memberP(X4,X11)))|?[X12]:(((ssItem(X12)&~(X11=X12))&memberP(X4,X12))&leq(X11,X12)))&(~(nil=X4)|~(nil=X3)))))))),inference(assume_negation,[status(cth)],[96])).
% fof(103, negated_conjecture,~(![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:((((~(ssList(X4))|~(X2=X4))|~(X1=X3))|![X5]:(ssItem(X5)=>![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))))))))|(![X11]:(((~(ssItem(X11))|~(cons(X11,nil)=X3))|~(memberP(X4,X11)))|?[X12]:(((ssItem(X12)&~(X11=X12))&memberP(X4,X12))&leq(X11,X12)))&(~(nil=X4)|~(nil=X3)))))))),inference(fof_simplification,[status(thm)],[97,theory(equality)])).
% fof(118, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|ssList(cons(X2,X1)))),inference(fof_nnf,[status(thm)],[3])).
% fof(119, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|ssList(cons(X4,X3)))),inference(variable_rename,[status(thm)],[118])).
% fof(120, plain,![X3]:![X4]:((~(ssItem(X4))|ssList(cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[119])).
% cnf(121,plain,(ssList(cons(X2,X1))|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[120])).
% cnf(122,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[4])).
% fof(144, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|ssList(app(X1,X2)))),inference(fof_nnf,[status(thm)],[9])).
% fof(145, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|ssList(app(X3,X4)))),inference(variable_rename,[status(thm)],[144])).
% fof(146, plain,![X3]:![X4]:((~(ssList(X4))|ssList(app(X3,X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[145])).
% cnf(147,plain,(ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[146])).
% fof(191, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|cons(X2,X1)=app(cons(X2,nil),X1))),inference(fof_nnf,[status(thm)],[20])).
% fof(192, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))),inference(variable_rename,[status(thm)],[191])).
% fof(193, plain,![X3]:![X4]:((~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[192])).
% cnf(194,plain,(cons(X2,X1)=app(cons(X2,nil),X1)|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[193])).
% fof(195, 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)],[21])).
% fof(196, 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)],[195])).
% fof(197, 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)],[196])).
% cnf(198,plain,(app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X1)|~ssList(X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[197])).
% fof(209, 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)],[24])).
% fof(210, 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)],[209])).
% fof(211, 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(esk7_1(X7))&(ssItem(esk8_1(X7))&(ssList(esk9_1(X7))&(ssList(esk10_1(X7))&(ssList(esk11_1(X7))&(app(app(esk9_1(X7),cons(esk7_1(X7),esk10_1(X7))),cons(esk8_1(X7),esk11_1(X7)))=X7&(leq(esk7_1(X7),esk8_1(X7))&leq(esk8_1(X7),esk7_1(X7)))))))))|cyclefreeP(X7)))),inference(skolemize,[status(esa)],[210])).
% fof(212, 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(esk7_1(X7))&(ssItem(esk8_1(X7))&(ssList(esk9_1(X7))&(ssList(esk10_1(X7))&(ssList(esk11_1(X7))&(app(app(esk9_1(X7),cons(esk7_1(X7),esk10_1(X7))),cons(esk8_1(X7),esk11_1(X7)))=X7&(leq(esk7_1(X7),esk8_1(X7))&leq(esk8_1(X7),esk7_1(X7)))))))))|cyclefreeP(X7)))|~(ssList(X7))),inference(shift_quantors,[status(thm)],[211])).
% fof(213, 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(esk7_1(X7))|cyclefreeP(X7))|~(ssList(X7)))&(((ssItem(esk8_1(X7))|cyclefreeP(X7))|~(ssList(X7)))&(((ssList(esk9_1(X7))|cyclefreeP(X7))|~(ssList(X7)))&(((ssList(esk10_1(X7))|cyclefreeP(X7))|~(ssList(X7)))&(((ssList(esk11_1(X7))|cyclefreeP(X7))|~(ssList(X7)))&(((app(app(esk9_1(X7),cons(esk7_1(X7),esk10_1(X7))),cons(esk8_1(X7),esk11_1(X7)))=X7|cyclefreeP(X7))|~(ssList(X7)))&(((leq(esk7_1(X7),esk8_1(X7))|cyclefreeP(X7))|~(ssList(X7)))&((leq(esk8_1(X7),esk7_1(X7))|cyclefreeP(X7))|~(ssList(X7))))))))))),inference(distribute,[status(thm)],[212])).
% cnf(222,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)],[213])).
% fof(237, 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)],[26])).
% fof(238, 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)],[237])).
% fof(239, 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(esk17_1(X7))&(ssItem(esk18_1(X7))&(ssList(esk19_1(X7))&(ssList(esk20_1(X7))&(ssList(esk21_1(X7))&(app(app(esk19_1(X7),cons(esk17_1(X7),esk20_1(X7))),cons(esk18_1(X7),esk21_1(X7)))=X7&~(leq(esk17_1(X7),esk18_1(X7)))))))))|totalorderedP(X7)))),inference(skolemize,[status(esa)],[238])).
% fof(240, 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(esk17_1(X7))&(ssItem(esk18_1(X7))&(ssList(esk19_1(X7))&(ssList(esk20_1(X7))&(ssList(esk21_1(X7))&(app(app(esk19_1(X7),cons(esk17_1(X7),esk20_1(X7))),cons(esk18_1(X7),esk21_1(X7)))=X7&~(leq(esk17_1(X7),esk18_1(X7)))))))))|totalorderedP(X7)))|~(ssList(X7))),inference(shift_quantors,[status(thm)],[239])).
% fof(241, 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(esk17_1(X7))|totalorderedP(X7))|~(ssList(X7)))&(((ssItem(esk18_1(X7))|totalorderedP(X7))|~(ssList(X7)))&(((ssList(esk19_1(X7))|totalorderedP(X7))|~(ssList(X7)))&(((ssList(esk20_1(X7))|totalorderedP(X7))|~(ssList(X7)))&(((ssList(esk21_1(X7))|totalorderedP(X7))|~(ssList(X7)))&(((app(app(esk19_1(X7),cons(esk17_1(X7),esk20_1(X7))),cons(esk18_1(X7),esk21_1(X7)))=X7|totalorderedP(X7))|~(ssList(X7)))&((~(leq(esk17_1(X7),esk18_1(X7)))|totalorderedP(X7))|~(ssList(X7)))))))))),inference(distribute,[status(thm)],[240])).
% cnf(249,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)],[241])).
% fof(335, plain,![X1]:(~(ssItem(X1))|cyclefreeP(cons(X1,nil))),inference(fof_nnf,[status(thm)],[40])).
% fof(336, plain,![X2]:(~(ssItem(X2))|cyclefreeP(cons(X2,nil))),inference(variable_rename,[status(thm)],[335])).
% cnf(337,plain,(cyclefreeP(cons(X1,nil))|~ssItem(X1)),inference(split_conjunct,[status(thm)],[336])).
% fof(344, plain,![X1]:(~(ssItem(X1))|totalorderedP(cons(X1,nil))),inference(fof_nnf,[status(thm)],[43])).
% fof(345, plain,![X2]:(~(ssItem(X2))|totalorderedP(cons(X2,nil))),inference(variable_rename,[status(thm)],[344])).
% cnf(346,plain,(totalorderedP(cons(X1,nil))|~ssItem(X1)),inference(split_conjunct,[status(thm)],[345])).
% cnf(496,plain,(cyclefreeP(nil)),inference(split_conjunct,[status(thm)],[75])).
% cnf(499,plain,(totalorderedP(nil)),inference(split_conjunct,[status(thm)],[78])).
% fof(568, negated_conjecture,?[X1]:(ssList(X1)&?[X2]:(ssList(X2)&?[X3]:(ssList(X3)&?[X4]:((((ssList(X4)&X2=X4)&X1=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)))))))))&(?[X11]:(((ssItem(X11)&cons(X11,nil)=X3)&memberP(X4,X11))&![X12]:(((~(ssItem(X12))|X11=X12)|~(memberP(X4,X12)))|~(leq(X11,X12))))|(nil=X4&nil=X3)))))),inference(fof_nnf,[status(thm)],[103])).
% fof(569, negated_conjecture,?[X13]:(ssList(X13)&?[X14]:(ssList(X14)&?[X15]:(ssList(X15)&?[X16]:((((ssList(X16)&X14=X16)&X13=X15)&?[X17]:(ssItem(X17)&?[X18]:(ssItem(X18)&?[X19]:(ssList(X19)&?[X20]:(ssList(X20)&?[X21]:(((ssList(X21)&app(app(app(app(X19,cons(X17,nil)),X20),cons(X18,nil)),X21)=X13)&leq(X18,X17))&(?[X22]:((ssItem(X22)&memberP(X20,X22))&(~(leq(X17,X22))|~(leq(X22,X18))))|~(leq(X17,X18)))))))))&(?[X23]:(((ssItem(X23)&cons(X23,nil)=X15)&memberP(X16,X23))&![X24]:(((~(ssItem(X24))|X23=X24)|~(memberP(X16,X24)))|~(leq(X23,X24))))|(nil=X16&nil=X15)))))),inference(variable_rename,[status(thm)],[568])).
% fof(570, negated_conjecture,(ssList(esk48_0)&(ssList(esk49_0)&(ssList(esk50_0)&((((ssList(esk51_0)&esk49_0=esk51_0)&esk48_0=esk50_0)&(ssItem(esk52_0)&(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)))))))))&((((ssItem(esk58_0)&cons(esk58_0,nil)=esk50_0)&memberP(esk51_0,esk58_0))&![X24]:(((~(ssItem(X24))|esk58_0=X24)|~(memberP(esk51_0,X24)))|~(leq(esk58_0,X24))))|(nil=esk51_0&nil=esk50_0)))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,![X24]:(((((((((~(ssItem(X24))|esk58_0=X24)|~(memberP(esk51_0,X24)))|~(leq(esk58_0,X24)))&((ssItem(esk58_0)&cons(esk58_0,nil)=esk50_0)&memberP(esk51_0,esk58_0)))|(nil=esk51_0&nil=esk50_0))&(((ssList(esk51_0)&esk49_0=esk51_0)&esk48_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))))))))))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(shift_quantors,[status(thm)],[570])).
% fof(572, negated_conjecture,![X24]:(((((((nil=esk51_0|(((~(ssItem(X24))|esk58_0=X24)|~(memberP(esk51_0,X24)))|~(leq(esk58_0,X24))))&(nil=esk50_0|(((~(ssItem(X24))|esk58_0=X24)|~(memberP(esk51_0,X24)))|~(leq(esk58_0,X24)))))&((((nil=esk51_0|ssItem(esk58_0))&(nil=esk50_0|ssItem(esk58_0)))&((nil=esk51_0|cons(esk58_0,nil)=esk50_0)&(nil=esk50_0|cons(esk58_0,nil)=esk50_0)))&((nil=esk51_0|memberP(esk51_0,esk58_0))&(nil=esk50_0|memberP(esk51_0,esk58_0)))))&(((ssList(esk51_0)&esk49_0=esk51_0)&esk48_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)))))))))))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(distribute,[status(thm)],[571])).
% cnf(573,negated_conjecture,(ssList(esk48_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(579,negated_conjecture,(leq(esk53_0,esk52_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(580,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)],[572])).
% cnf(581,negated_conjecture,(ssList(esk56_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(582,negated_conjecture,(ssList(esk55_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(583,negated_conjecture,(ssList(esk54_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(584,negated_conjecture,(ssItem(esk53_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(585,negated_conjecture,(ssItem(esk52_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(586,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(591,negated_conjecture,(cons(esk58_0,nil)=esk50_0|nil=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(593,negated_conjecture,(ssItem(esk58_0)|nil=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(597,negated_conjecture,(ssList(esk50_0)),inference(rw,[status(thm)],[573,586,theory(equality)])).
% cnf(601,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)],[580,586,theory(equality)])).
% cnf(608,negated_conjecture,(cyclefreeP(esk50_0)|esk50_0=nil|~ssItem(esk58_0)),inference(spm,[status(thm)],[337,591,theory(equality)])).
% cnf(612,negated_conjecture,(totalorderedP(esk50_0)|esk50_0=nil|~ssItem(esk58_0)),inference(spm,[status(thm)],[346,591,theory(equality)])).
% cnf(1060,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)],[601,198,theory(equality)])).
% cnf(1071,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(rw,[status(thm)],[1060,582,theory(equality)])).
% cnf(1072,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[1071,583,theory(equality)])).
% cnf(1073,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[1072,theory(equality)])).
% cnf(1231,plain,(leq(X1,X2)|~totalorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))|~ssList(X5)|~ssList(X4)|~ssList(X3)|~ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))|~ssItem(X2)|~ssItem(X1)),inference(er,[status(thm)],[249,theory(equality)])).
% cnf(1262,plain,(~cyclefreeP(app(app(X1,cons(X2,X3)),cons(X4,X5)))|~leq(X4,X2)|~leq(X2,X4)|~ssList(X5)|~ssList(X3)|~ssList(X1)|~ssList(app(app(X1,cons(X2,X3)),cons(X4,X5)))|~ssItem(X4)|~ssItem(X2)),inference(er,[status(thm)],[222,theory(equality)])).
% cnf(1657,negated_conjecture,(esk50_0=nil|cyclefreeP(esk50_0)),inference(csr,[status(thm)],[608,593])).
% cnf(1829,negated_conjecture,(esk50_0=nil|totalorderedP(esk50_0)),inference(csr,[status(thm)],[612,593])).
% cnf(2019,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1073,121,theory(equality)])).
% cnf(2020,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2019,122,theory(equality)])).
% cnf(2021,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)],[2020,585,theory(equality)])).
% cnf(2022,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)],[2021,theory(equality)])).
% cnf(2040,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)],[2022,194,theory(equality)])).
% cnf(2080,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2040,582,theory(equality)])).
% cnf(2081,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|$false),inference(rw,[status(thm)],[2080,585,theory(equality)])).
% cnf(2082,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0),inference(cn,[status(thm)],[2081,theory(equality)])).
% cnf(2099,negated_conjecture,(esk50_0=app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))|~ssList(esk56_0)|~ssList(cons(esk53_0,nil))|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))),inference(spm,[status(thm)],[198,2082,theory(equality)])).
% cnf(2131,negated_conjecture,(esk50_0=app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))|$false|~ssList(cons(esk53_0,nil))|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))),inference(rw,[status(thm)],[2099,581,theory(equality)])).
% cnf(2132,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)],[2131,theory(equality)])).
% cnf(2932,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)],[2132,121,theory(equality)])).
% cnf(2933,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)))|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2932,122,theory(equality)])).
% cnf(2934,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))|$false|$false),inference(rw,[status(thm)],[2933,584,theory(equality)])).
% cnf(2935,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))),inference(cn,[status(thm)],[2934,theory(equality)])).
% cnf(2936,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(cons(esk52_0,esk55_0))|~ssList(esk54_0)),inference(spm,[status(thm)],[2935,147,theory(equality)])).
% cnf(2937,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(cons(esk52_0,esk55_0))|$false),inference(rw,[status(thm)],[2936,583,theory(equality)])).
% cnf(2938,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)],[2937,theory(equality)])).
% cnf(2939,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)],[2938,121,theory(equality)])).
% cnf(2940,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2939,582,theory(equality)])).
% cnf(2941,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[2940,585,theory(equality)])).
% cnf(2942,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0),inference(cn,[status(thm)],[2941,theory(equality)])).
% cnf(2960,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,esk56_0))=esk50_0|~ssList(esk56_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[2942,194,theory(equality)])).
% cnf(2973,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,esk56_0))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2960,581,theory(equality)])).
% cnf(2974,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,esk56_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[2973,584,theory(equality)])).
% cnf(2975,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,esk56_0))=esk50_0),inference(cn,[status(thm)],[2974,theory(equality)])).
% cnf(78124,negated_conjecture,(leq(esk52_0,esk53_0)|~totalorderedP(esk50_0)|~ssList(esk50_0)|~ssList(esk56_0)|~ssList(esk55_0)|~ssList(esk54_0)|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1231,2975,theory(equality)])).
% cnf(78457,negated_conjecture,(leq(esk52_0,esk53_0)|~totalorderedP(esk50_0)|$false|~ssList(esk56_0)|~ssList(esk55_0)|~ssList(esk54_0)|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[78124,597,theory(equality)])).
% cnf(78458,negated_conjecture,(leq(esk52_0,esk53_0)|~totalorderedP(esk50_0)|$false|$false|~ssList(esk55_0)|~ssList(esk54_0)|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[78457,581,theory(equality)])).
% cnf(78459,negated_conjecture,(leq(esk52_0,esk53_0)|~totalorderedP(esk50_0)|$false|$false|$false|~ssList(esk54_0)|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[78458,582,theory(equality)])).
% cnf(78460,negated_conjecture,(leq(esk52_0,esk53_0)|~totalorderedP(esk50_0)|$false|$false|$false|$false|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[78459,583,theory(equality)])).
% cnf(78461,negated_conjecture,(leq(esk52_0,esk53_0)|~totalorderedP(esk50_0)|$false|$false|$false|$false|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[78460,584,theory(equality)])).
% cnf(78462,negated_conjecture,(leq(esk52_0,esk53_0)|~totalorderedP(esk50_0)|$false|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[78461,585,theory(equality)])).
% cnf(78463,negated_conjecture,(leq(esk52_0,esk53_0)|~totalorderedP(esk50_0)),inference(cn,[status(thm)],[78462,theory(equality)])).
% cnf(78503,negated_conjecture,(leq(esk52_0,esk53_0)|esk50_0=nil),inference(spm,[status(thm)],[78463,1829,theory(equality)])).
% cnf(91472,negated_conjecture,(~cyclefreeP(esk50_0)|~leq(esk53_0,esk52_0)|~leq(esk52_0,esk53_0)|~ssList(esk50_0)|~ssList(esk56_0)|~ssList(esk55_0)|~ssList(esk54_0)|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1262,2975,theory(equality)])).
% cnf(91837,negated_conjecture,(~cyclefreeP(esk50_0)|$false|~leq(esk52_0,esk53_0)|~ssList(esk50_0)|~ssList(esk56_0)|~ssList(esk55_0)|~ssList(esk54_0)|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[91472,579,theory(equality)])).
% cnf(91838,negated_conjecture,(~cyclefreeP(esk50_0)|$false|~leq(esk52_0,esk53_0)|$false|~ssList(esk56_0)|~ssList(esk55_0)|~ssList(esk54_0)|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[91837,597,theory(equality)])).
% cnf(91839,negated_conjecture,(~cyclefreeP(esk50_0)|$false|~leq(esk52_0,esk53_0)|$false|$false|~ssList(esk55_0)|~ssList(esk54_0)|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[91838,581,theory(equality)])).
% cnf(91840,negated_conjecture,(~cyclefreeP(esk50_0)|$false|~leq(esk52_0,esk53_0)|$false|$false|$false|~ssList(esk54_0)|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[91839,582,theory(equality)])).
% cnf(91841,negated_conjecture,(~cyclefreeP(esk50_0)|$false|~leq(esk52_0,esk53_0)|$false|$false|$false|$false|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[91840,583,theory(equality)])).
% cnf(91842,negated_conjecture,(~cyclefreeP(esk50_0)|$false|~leq(esk52_0,esk53_0)|$false|$false|$false|$false|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[91841,584,theory(equality)])).
% cnf(91843,negated_conjecture,(~cyclefreeP(esk50_0)|$false|~leq(esk52_0,esk53_0)|$false|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[91842,585,theory(equality)])).
% cnf(91844,negated_conjecture,(~cyclefreeP(esk50_0)|~leq(esk52_0,esk53_0)),inference(cn,[status(thm)],[91843,theory(equality)])).
% cnf(91911,negated_conjecture,(esk50_0=nil|~leq(esk52_0,esk53_0)),inference(spm,[status(thm)],[91844,1657,theory(equality)])).
% cnf(91913,negated_conjecture,(esk50_0=nil),inference(csr,[status(thm)],[91911,78503])).
% cnf(91914,negated_conjecture,($false|~leq(esk52_0,esk53_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[91844,91913,theory(equality)]),496,theory(equality)])).
% cnf(91915,negated_conjecture,(~leq(esk52_0,esk53_0)),inference(cn,[status(thm)],[91914,theory(equality)])).
% cnf(91969,negated_conjecture,(leq(esk52_0,esk53_0)|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[78463,91913,theory(equality)]),499,theory(equality)])).
% cnf(91970,negated_conjecture,(leq(esk52_0,esk53_0)),inference(cn,[status(thm)],[91969,theory(equality)])).
% cnf(93720,negated_conjecture,($false),inference(sr,[status(thm)],[91970,91915,theory(equality)])).
% cnf(93721,negated_conjecture,($false),93720,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 3398
% # ...of these trivial : 82
% # ...subsumed : 1574
% # ...remaining for further processing: 1742
% # Other redundant clauses eliminated : 259
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 240
% # Backward-rewritten : 1101
% # Generated clauses : 35052
% # ...of the previous two non-trivial : 32842
% # Contextual simplify-reflections : 1603
% # Paramodulations : 34710
% # Factorizations : 0
% # Equation resolutions : 342
% # Current number of processed clauses: 394
% # Positive orientable unit clauses: 29
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 3
% # Non-unit-clauses : 362
% # Current number of unprocessed clauses: 4188
% # ...number of literals in the above : 29322
% # Clause-clause subsumption calls (NU) : 200995
% # Rec. Clause-clause subsumption calls : 131903
% # Unit Clause-clause subsumption calls : 2351
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 256
% # Indexed BW rewrite successes : 62
% # Backwards rewriting index: 380 leaves, 1.47+/-1.302 terms/leaf
% # Paramod-from index: 172 leaves, 1.00+/-0.000 terms/leaf
% # Paramod-into index: 307 leaves, 1.34+/-1.187 terms/leaf
% # -------------------------------------------------
% # User time : 1.943 s
% # System time : 0.072 s
% # Total time : 2.015 s
% # Maximum resident set size: 0 pages
% PrfWatch: 3.57 CPU 3.72 WC
% FINAL PrfWatch: 3.57 CPU 3.72 WC
% SZS output end Solution for /tmp/SystemOnTPTP16093/SWC152+1.tptp
%
%------------------------------------------------------------------------------