TSTP Solution File: SWC183+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC183+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 07:18:01 EST 2010
% Result : Theorem 1.41s
% Output : Solution 1.41s
% 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/SystemOnTPTP31824/SWC183+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP31824/SWC183+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP31824/SWC183+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 31920
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 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(8, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>~(nil=cons(X2,X1)))),file('/tmp/SRASS.s.p', ax21)).
% fof(9, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>ssList(app(X1,X2)))),file('/tmp/SRASS.s.p', ax26)).
% fof(10, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssItem(X3)=>cons(X3,app(X2,X1))=app(cons(X3,X2),X1)))),file('/tmp/SRASS.s.p', ax27)).
% fof(11, axiom,![X1]:(ssList(X1)=>app(nil,X1)=X1),file('/tmp/SRASS.s.p', ax28)).
% fof(17, axiom,![X1]:(ssItem(X1)=>~(memberP(nil,X1))),file('/tmp/SRASS.s.p', ax38)).
% fof(19, 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(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(22, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(nil=app(X1,X2)<=>(nil=X2&nil=X1)))),file('/tmp/SRASS.s.p', ax83)).
% fof(23, axiom,![X1]:(ssList(X1)=>app(X1,nil)=X1),file('/tmp/SRASS.s.p', ax84)).
% fof(31, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(~(nil=X1)=>tl(app(X1,X2))=app(tl(X1),X2)))),file('/tmp/SRASS.s.p', ax86)).
% fof(32, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>hd(cons(X2,X1))=X2)),file('/tmp/SRASS.s.p', ax23)).
% fof(33, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>tl(cons(X2,X1))=X1)),file('/tmp/SRASS.s.p', ax25)).
% fof(50, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>ssList(tl(X1)))),file('/tmp/SRASS.s.p', ax24)).
% fof(96, conjecture,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:((((~(ssList(X4))|~(X2=X4))|~(X1=X3))|![X5]:(ssItem(X5)=>![X6]:(ssList(X6)=>![X7]:((~(ssList(X7))|~(app(app(X6,cons(X5,nil)),X7)=X1))|(~(memberP(X6,X5))&~(memberP(X7,X5)))))))|(![X8]:(((~(ssItem(X8))|~(cons(X8,nil)=X3))|~(memberP(X4,X8)))|?[X9]:(((ssItem(X9)&~(X8=X9))&memberP(X4,X9))&leq(X8,X9)))&(~(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]:(ssList(X6)=>![X7]:((~(ssList(X7))|~(app(app(X6,cons(X5,nil)),X7)=X1))|(~(memberP(X6,X5))&~(memberP(X7,X5)))))))|(![X8]:(((~(ssItem(X8))|~(cons(X8,nil)=X3))|~(memberP(X4,X8)))|?[X9]:(((ssItem(X9)&~(X8=X9))&memberP(X4,X9))&leq(X8,X9)))&(~(nil=X4)|~(nil=X3)))))))),inference(assume_negation,[status(cth)],[96])).
% fof(98, plain,![X1]:(ssItem(X1)=>~(memberP(nil,X1))),inference(fof_simplification,[status(thm)],[17,theory(equality)])).
% fof(103, negated_conjecture,~(![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:((((~(ssList(X4))|~(X2=X4))|~(X1=X3))|![X5]:(ssItem(X5)=>![X6]:(ssList(X6)=>![X7]:((~(ssList(X7))|~(app(app(X6,cons(X5,nil)),X7)=X1))|(~(memberP(X6,X5))&~(memberP(X7,X5)))))))|(![X8]:(((~(ssItem(X8))|~(cons(X8,nil)=X3))|~(memberP(X4,X8)))|?[X9]:(((ssItem(X9)&~(X8=X9))&memberP(X4,X9))&leq(X8,X9)))&(~(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(140, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|~(nil=cons(X2,X1)))),inference(fof_nnf,[status(thm)],[8])).
% fof(141, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|~(nil=cons(X4,X3)))),inference(variable_rename,[status(thm)],[140])).
% fof(142, plain,![X3]:![X4]:((~(ssItem(X4))|~(nil=cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[141])).
% cnf(143,plain,(~ssList(X1)|nil!=cons(X2,X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[142])).
% 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(148, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssItem(X3))|cons(X3,app(X2,X1))=app(cons(X3,X2),X1)))),inference(fof_nnf,[status(thm)],[10])).
% fof(149, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssItem(X6))|cons(X6,app(X5,X4))=app(cons(X6,X5),X4)))),inference(variable_rename,[status(thm)],[148])).
% fof(150, plain,![X4]:![X5]:![X6]:(((~(ssItem(X6))|cons(X6,app(X5,X4))=app(cons(X6,X5),X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[149])).
% cnf(151,plain,(cons(X3,app(X2,X1))=app(cons(X3,X2),X1)|~ssList(X1)|~ssList(X2)|~ssItem(X3)),inference(split_conjunct,[status(thm)],[150])).
% fof(152, plain,![X1]:(~(ssList(X1))|app(nil,X1)=X1),inference(fof_nnf,[status(thm)],[11])).
% fof(153, plain,![X2]:(~(ssList(X2))|app(nil,X2)=X2),inference(variable_rename,[status(thm)],[152])).
% cnf(154,plain,(app(nil,X1)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[153])).
% fof(180, plain,![X1]:(~(ssItem(X1))|~(memberP(nil,X1))),inference(fof_nnf,[status(thm)],[98])).
% fof(181, plain,![X2]:(~(ssItem(X2))|~(memberP(nil,X2))),inference(variable_rename,[status(thm)],[180])).
% cnf(182,plain,(~memberP(nil,X1)|~ssItem(X1)),inference(split_conjunct,[status(thm)],[181])).
% fof(187, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X2,X3)=app(X2,X1))|X3=X1)))),inference(fof_nnf,[status(thm)],[19])).
% fof(188, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4)))),inference(variable_rename,[status(thm)],[187])).
% fof(189, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[188])).
% cnf(190,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X2,X3)!=app(X2,X1)|~ssList(X3)),inference(split_conjunct,[status(thm)],[189])).
% 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(199, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(nil=app(X1,X2))|(nil=X2&nil=X1))&((~(nil=X2)|~(nil=X1))|nil=app(X1,X2))))),inference(fof_nnf,[status(thm)],[22])).
% fof(200, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(nil=app(X3,X4))|(nil=X4&nil=X3))&((~(nil=X4)|~(nil=X3))|nil=app(X3,X4))))),inference(variable_rename,[status(thm)],[199])).
% fof(201, plain,![X3]:![X4]:((~(ssList(X4))|((~(nil=app(X3,X4))|(nil=X4&nil=X3))&((~(nil=X4)|~(nil=X3))|nil=app(X3,X4))))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[200])).
% fof(202, plain,![X3]:![X4]:(((((nil=X4|~(nil=app(X3,X4)))|~(ssList(X4)))|~(ssList(X3)))&(((nil=X3|~(nil=app(X3,X4)))|~(ssList(X4)))|~(ssList(X3))))&((((~(nil=X4)|~(nil=X3))|nil=app(X3,X4))|~(ssList(X4)))|~(ssList(X3)))),inference(distribute,[status(thm)],[201])).
% cnf(204,plain,(nil=X1|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[202])).
% cnf(205,plain,(nil=X2|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[202])).
% fof(206, plain,![X1]:(~(ssList(X1))|app(X1,nil)=X1),inference(fof_nnf,[status(thm)],[23])).
% fof(207, plain,![X2]:(~(ssList(X2))|app(X2,nil)=X2),inference(variable_rename,[status(thm)],[206])).
% cnf(208,plain,(app(X1,nil)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[207])).
% fof(287, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|(nil=X1|tl(app(X1,X2))=app(tl(X1),X2)))),inference(fof_nnf,[status(thm)],[31])).
% fof(288, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|(nil=X3|tl(app(X3,X4))=app(tl(X3),X4)))),inference(variable_rename,[status(thm)],[287])).
% fof(289, plain,![X3]:![X4]:((~(ssList(X4))|(nil=X3|tl(app(X3,X4))=app(tl(X3),X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[288])).
% cnf(290,plain,(tl(app(X1,X2))=app(tl(X1),X2)|nil=X1|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[289])).
% fof(291, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|hd(cons(X2,X1))=X2)),inference(fof_nnf,[status(thm)],[32])).
% fof(292, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|hd(cons(X4,X3))=X4)),inference(variable_rename,[status(thm)],[291])).
% fof(293, plain,![X3]:![X4]:((~(ssItem(X4))|hd(cons(X4,X3))=X4)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[292])).
% cnf(294,plain,(hd(cons(X2,X1))=X2|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[293])).
% fof(295, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|tl(cons(X2,X1))=X1)),inference(fof_nnf,[status(thm)],[33])).
% fof(296, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|tl(cons(X4,X3))=X3)),inference(variable_rename,[status(thm)],[295])).
% fof(297, plain,![X3]:![X4]:((~(ssItem(X4))|tl(cons(X4,X3))=X3)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[296])).
% cnf(298,plain,(tl(cons(X2,X1))=X1|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[297])).
% fof(381, plain,![X1]:(~(ssList(X1))|(nil=X1|ssList(tl(X1)))),inference(fof_nnf,[status(thm)],[50])).
% fof(382, plain,![X2]:(~(ssList(X2))|(nil=X2|ssList(tl(X2)))),inference(variable_rename,[status(thm)],[381])).
% cnf(383,plain,(ssList(tl(X1))|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[382])).
% fof(568, negated_conjecture,?[X1]:(ssList(X1)&?[X2]:(ssList(X2)&?[X3]:(ssList(X3)&?[X4]:((((ssList(X4)&X2=X4)&X1=X3)&?[X5]:(ssItem(X5)&?[X6]:(ssList(X6)&?[X7]:((ssList(X7)&app(app(X6,cons(X5,nil)),X7)=X1)&(memberP(X6,X5)|memberP(X7,X5))))))&(?[X8]:(((ssItem(X8)&cons(X8,nil)=X3)&memberP(X4,X8))&![X9]:(((~(ssItem(X9))|X8=X9)|~(memberP(X4,X9)))|~(leq(X8,X9))))|(nil=X4&nil=X3)))))),inference(fof_nnf,[status(thm)],[103])).
% fof(569, negated_conjecture,?[X10]:(ssList(X10)&?[X11]:(ssList(X11)&?[X12]:(ssList(X12)&?[X13]:((((ssList(X13)&X11=X13)&X10=X12)&?[X14]:(ssItem(X14)&?[X15]:(ssList(X15)&?[X16]:((ssList(X16)&app(app(X15,cons(X14,nil)),X16)=X10)&(memberP(X15,X14)|memberP(X16,X14))))))&(?[X17]:(((ssItem(X17)&cons(X17,nil)=X12)&memberP(X13,X17))&![X18]:(((~(ssItem(X18))|X17=X18)|~(memberP(X13,X18)))|~(leq(X17,X18))))|(nil=X13&nil=X12)))))),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)&(ssList(esk53_0)&((ssList(esk54_0)&app(app(esk53_0,cons(esk52_0,nil)),esk54_0)=esk48_0)&(memberP(esk53_0,esk52_0)|memberP(esk54_0,esk52_0))))))&((((ssItem(esk55_0)&cons(esk55_0,nil)=esk50_0)&memberP(esk51_0,esk55_0))&![X18]:(((~(ssItem(X18))|esk55_0=X18)|~(memberP(esk51_0,X18)))|~(leq(esk55_0,X18))))|(nil=esk51_0&nil=esk50_0)))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,![X18]:(((((((((~(ssItem(X18))|esk55_0=X18)|~(memberP(esk51_0,X18)))|~(leq(esk55_0,X18)))&((ssItem(esk55_0)&cons(esk55_0,nil)=esk50_0)&memberP(esk51_0,esk55_0)))|(nil=esk51_0&nil=esk50_0))&(((ssList(esk51_0)&esk49_0=esk51_0)&esk48_0=esk50_0)&(ssItem(esk52_0)&(ssList(esk53_0)&((ssList(esk54_0)&app(app(esk53_0,cons(esk52_0,nil)),esk54_0)=esk48_0)&(memberP(esk53_0,esk52_0)|memberP(esk54_0,esk52_0)))))))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(shift_quantors,[status(thm)],[570])).
% fof(572, negated_conjecture,![X18]:(((((((nil=esk51_0|(((~(ssItem(X18))|esk55_0=X18)|~(memberP(esk51_0,X18)))|~(leq(esk55_0,X18))))&(nil=esk50_0|(((~(ssItem(X18))|esk55_0=X18)|~(memberP(esk51_0,X18)))|~(leq(esk55_0,X18)))))&((((nil=esk51_0|ssItem(esk55_0))&(nil=esk50_0|ssItem(esk55_0)))&((nil=esk51_0|cons(esk55_0,nil)=esk50_0)&(nil=esk50_0|cons(esk55_0,nil)=esk50_0)))&((nil=esk51_0|memberP(esk51_0,esk55_0))&(nil=esk50_0|memberP(esk51_0,esk55_0)))))&(((ssList(esk51_0)&esk49_0=esk51_0)&esk48_0=esk50_0)&(ssItem(esk52_0)&(ssList(esk53_0)&((ssList(esk54_0)&app(app(esk53_0,cons(esk52_0,nil)),esk54_0)=esk48_0)&(memberP(esk53_0,esk52_0)|memberP(esk54_0,esk52_0)))))))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(distribute,[status(thm)],[571])).
% cnf(576,negated_conjecture,(memberP(esk54_0,esk52_0)|memberP(esk53_0,esk52_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(577,negated_conjecture,(app(app(esk53_0,cons(esk52_0,nil)),esk54_0)=esk48_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(578,negated_conjecture,(ssList(esk54_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(579,negated_conjecture,(ssList(esk53_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(580,negated_conjecture,(ssItem(esk52_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(581,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(586,negated_conjecture,(cons(esk55_0,nil)=esk50_0|nil=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(588,negated_conjecture,(ssItem(esk55_0)|nil=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(596,negated_conjecture,(app(app(esk53_0,cons(esk52_0,nil)),esk54_0)=esk50_0),inference(rw,[status(thm)],[577,581,theory(equality)])).
% cnf(699,negated_conjecture,(hd(esk50_0)=esk55_0|esk50_0=nil|~ssList(nil)|~ssItem(esk55_0)),inference(spm,[status(thm)],[294,586,theory(equality)])).
% cnf(702,negated_conjecture,(hd(esk50_0)=esk55_0|esk50_0=nil|$false|~ssItem(esk55_0)),inference(rw,[status(thm)],[699,122,theory(equality)])).
% cnf(703,negated_conjecture,(hd(esk50_0)=esk55_0|esk50_0=nil|~ssItem(esk55_0)),inference(cn,[status(thm)],[702,theory(equality)])).
% cnf(709,negated_conjecture,(tl(esk50_0)=nil|esk50_0=nil|~ssList(nil)|~ssItem(esk55_0)),inference(spm,[status(thm)],[298,586,theory(equality)])).
% cnf(712,negated_conjecture,(tl(esk50_0)=nil|esk50_0=nil|$false|~ssItem(esk55_0)),inference(rw,[status(thm)],[709,122,theory(equality)])).
% cnf(713,negated_conjecture,(tl(esk50_0)=nil|esk50_0=nil|~ssItem(esk55_0)),inference(cn,[status(thm)],[712,theory(equality)])).
% cnf(1047,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0|~ssList(esk54_0)|~ssList(cons(esk52_0,nil))|~ssList(esk53_0)),inference(spm,[status(thm)],[596,198,theory(equality)])).
% cnf(1055,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0|$false|~ssList(cons(esk52_0,nil))|~ssList(esk53_0)),inference(rw,[status(thm)],[1047,578,theory(equality)])).
% cnf(1056,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0|$false|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[1055,579,theory(equality)])).
% cnf(1057,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[1056,theory(equality)])).
% cnf(1640,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1057,121,theory(equality)])).
% cnf(1641,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1640,122,theory(equality)])).
% cnf(1642,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[1641,580,theory(equality)])).
% cnf(1643,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0),inference(cn,[status(thm)],[1642,theory(equality)])).
% cnf(1659,negated_conjecture,(app(esk53_0,cons(esk52_0,esk54_0))=esk50_0|~ssList(esk54_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1643,194,theory(equality)])).
% cnf(1694,negated_conjecture,(app(esk53_0,cons(esk52_0,esk54_0))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1659,578,theory(equality)])).
% cnf(1695,negated_conjecture,(app(esk53_0,cons(esk52_0,esk54_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[1694,580,theory(equality)])).
% cnf(1696,negated_conjecture,(app(esk53_0,cons(esk52_0,esk54_0))=esk50_0),inference(cn,[status(thm)],[1695,theory(equality)])).
% cnf(1697,negated_conjecture,(nil=esk53_0|esk50_0!=nil|~ssList(cons(esk52_0,esk54_0))|~ssList(esk53_0)),inference(spm,[status(thm)],[204,1696,theory(equality)])).
% cnf(1700,negated_conjecture,(tl(esk50_0)=app(tl(esk53_0),cons(esk52_0,esk54_0))|nil=esk53_0|~ssList(cons(esk52_0,esk54_0))|~ssList(esk53_0)),inference(spm,[status(thm)],[290,1696,theory(equality)])).
% cnf(1705,negated_conjecture,(X1=cons(esk52_0,esk54_0)|app(esk53_0,X1)!=esk50_0|~ssList(cons(esk52_0,esk54_0))|~ssList(esk53_0)|~ssList(X1)),inference(spm,[status(thm)],[190,1696,theory(equality)])).
% cnf(1717,negated_conjecture,(nil=esk53_0|esk50_0!=nil|~ssList(cons(esk52_0,esk54_0))|$false),inference(rw,[status(thm)],[1697,579,theory(equality)])).
% cnf(1718,negated_conjecture,(nil=esk53_0|esk50_0!=nil|~ssList(cons(esk52_0,esk54_0))),inference(cn,[status(thm)],[1717,theory(equality)])).
% cnf(1724,negated_conjecture,(tl(esk50_0)=app(tl(esk53_0),cons(esk52_0,esk54_0))|nil=esk53_0|~ssList(cons(esk52_0,esk54_0))|$false),inference(rw,[status(thm)],[1700,579,theory(equality)])).
% cnf(1725,negated_conjecture,(tl(esk50_0)=app(tl(esk53_0),cons(esk52_0,esk54_0))|nil=esk53_0|~ssList(cons(esk52_0,esk54_0))),inference(cn,[status(thm)],[1724,theory(equality)])).
% cnf(1734,negated_conjecture,(X1=cons(esk52_0,esk54_0)|app(esk53_0,X1)!=esk50_0|~ssList(cons(esk52_0,esk54_0))|$false|~ssList(X1)),inference(rw,[status(thm)],[1705,579,theory(equality)])).
% cnf(1735,negated_conjecture,(X1=cons(esk52_0,esk54_0)|app(esk53_0,X1)!=esk50_0|~ssList(cons(esk52_0,esk54_0))|~ssList(X1)),inference(cn,[status(thm)],[1734,theory(equality)])).
% cnf(1992,negated_conjecture,(hd(esk50_0)=esk55_0|esk50_0=nil),inference(csr,[status(thm)],[703,588])).
% cnf(2031,negated_conjecture,(tl(esk50_0)=nil|esk50_0=nil),inference(csr,[status(thm)],[713,588])).
% cnf(3043,negated_conjecture,(X1=cons(esk52_0,esk54_0)|app(esk53_0,X1)!=esk50_0|~ssList(X1)|~ssList(esk54_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1735,121,theory(equality)])).
% cnf(3044,negated_conjecture,(X1=cons(esk52_0,esk54_0)|app(esk53_0,X1)!=esk50_0|~ssList(X1)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3043,578,theory(equality)])).
% cnf(3045,negated_conjecture,(X1=cons(esk52_0,esk54_0)|app(esk53_0,X1)!=esk50_0|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[3044,580,theory(equality)])).
% cnf(3046,negated_conjecture,(X1=cons(esk52_0,esk54_0)|app(esk53_0,X1)!=esk50_0|~ssList(X1)),inference(cn,[status(thm)],[3045,theory(equality)])).
% cnf(3047,negated_conjecture,(nil=cons(esk52_0,esk54_0)|esk53_0!=esk50_0|~ssList(nil)|~ssList(esk53_0)),inference(spm,[status(thm)],[3046,208,theory(equality)])).
% cnf(3048,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)|~ssList(app(cons(esk52_0,nil),esk54_0))),inference(spm,[status(thm)],[3046,1643,theory(equality)])).
% cnf(3050,negated_conjecture,(nil=cons(esk52_0,esk54_0)|esk53_0!=esk50_0|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[3047,122,theory(equality)])).
% cnf(3051,negated_conjecture,(nil=cons(esk52_0,esk54_0)|esk53_0!=esk50_0|$false|$false),inference(rw,[status(thm)],[3050,579,theory(equality)])).
% cnf(3052,negated_conjecture,(nil=cons(esk52_0,esk54_0)|esk53_0!=esk50_0),inference(cn,[status(thm)],[3051,theory(equality)])).
% cnf(3054,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)|~ssList(esk54_0)|~ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[3048,147,theory(equality)])).
% cnf(3059,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)|$false|~ssList(cons(esk52_0,nil))),inference(rw,[status(thm)],[3054,578,theory(equality)])).
% cnf(3060,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[3059,theory(equality)])).
% cnf(3061,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[3060,121,theory(equality)])).
% cnf(3062,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3061,122,theory(equality)])).
% cnf(3063,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)|$false|$false),inference(rw,[status(thm)],[3062,580,theory(equality)])).
% cnf(3064,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)),inference(cn,[status(thm)],[3063,theory(equality)])).
% cnf(3066,negated_conjecture,(ssList(cons(esk52_0,esk54_0))|~ssList(esk54_0)|~ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[147,3064,theory(equality)])).
% cnf(3073,negated_conjecture,(X1=esk54_0|app(cons(esk52_0,nil),X1)!=cons(esk52_0,esk54_0)|~ssList(esk54_0)|~ssList(cons(esk52_0,nil))|~ssList(X1)),inference(spm,[status(thm)],[190,3064,theory(equality)])).
% cnf(3080,negated_conjecture,(cons(esk52_0,esk54_0)=cons(esk52_0,app(nil,esk54_0))|~ssList(nil)|~ssList(esk54_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[151,3064,theory(equality)])).
% cnf(3090,negated_conjecture,(ssList(cons(esk52_0,esk54_0))|$false|~ssList(cons(esk52_0,nil))),inference(rw,[status(thm)],[3066,578,theory(equality)])).
% cnf(3091,negated_conjecture,(ssList(cons(esk52_0,esk54_0))|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[3090,theory(equality)])).
% cnf(3104,negated_conjecture,(X1=esk54_0|app(cons(esk52_0,nil),X1)!=cons(esk52_0,esk54_0)|$false|~ssList(cons(esk52_0,nil))|~ssList(X1)),inference(rw,[status(thm)],[3073,578,theory(equality)])).
% cnf(3105,negated_conjecture,(X1=esk54_0|app(cons(esk52_0,nil),X1)!=cons(esk52_0,esk54_0)|~ssList(cons(esk52_0,nil))|~ssList(X1)),inference(cn,[status(thm)],[3104,theory(equality)])).
% cnf(3116,negated_conjecture,(cons(esk52_0,esk54_0)=cons(esk52_0,app(nil,esk54_0))|$false|~ssList(esk54_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[3080,122,theory(equality)])).
% cnf(3117,negated_conjecture,(cons(esk52_0,esk54_0)=cons(esk52_0,app(nil,esk54_0))|$false|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3116,578,theory(equality)])).
% cnf(3118,negated_conjecture,(cons(esk52_0,esk54_0)=cons(esk52_0,app(nil,esk54_0))|$false|$false|$false),inference(rw,[status(thm)],[3117,580,theory(equality)])).
% cnf(3119,negated_conjecture,(cons(esk52_0,esk54_0)=cons(esk52_0,app(nil,esk54_0))),inference(cn,[status(thm)],[3118,theory(equality)])).
% cnf(3120,negated_conjecture,(ssList(cons(esk52_0,esk54_0))|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[3091,121,theory(equality)])).
% cnf(3121,negated_conjecture,(ssList(cons(esk52_0,esk54_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3120,122,theory(equality)])).
% cnf(3122,negated_conjecture,(ssList(cons(esk52_0,esk54_0))|$false|$false),inference(rw,[status(thm)],[3121,580,theory(equality)])).
% cnf(3123,negated_conjecture,(ssList(cons(esk52_0,esk54_0))),inference(cn,[status(thm)],[3122,theory(equality)])).
% cnf(3136,negated_conjecture,(esk53_0=nil|esk50_0!=nil|$false),inference(rw,[status(thm)],[1718,3123,theory(equality)])).
% cnf(3137,negated_conjecture,(esk53_0=nil|esk50_0!=nil),inference(cn,[status(thm)],[3136,theory(equality)])).
% cnf(3142,negated_conjecture,(cons(esk52_0,esk54_0)!=nil|~ssList(app(nil,esk54_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[143,3119,theory(equality)])).
% cnf(3145,negated_conjecture,(hd(cons(esk52_0,esk54_0))=esk52_0|~ssList(app(nil,esk54_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[294,3119,theory(equality)])).
% cnf(3146,negated_conjecture,(tl(cons(esk52_0,esk54_0))=app(nil,esk54_0)|~ssList(app(nil,esk54_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[298,3119,theory(equality)])).
% cnf(3181,negated_conjecture,(cons(esk52_0,esk54_0)!=nil|~ssList(app(nil,esk54_0))|$false),inference(rw,[status(thm)],[3142,580,theory(equality)])).
% cnf(3182,negated_conjecture,(cons(esk52_0,esk54_0)!=nil|~ssList(app(nil,esk54_0))),inference(cn,[status(thm)],[3181,theory(equality)])).
% cnf(3188,negated_conjecture,(hd(cons(esk52_0,esk54_0))=esk52_0|~ssList(app(nil,esk54_0))|$false),inference(rw,[status(thm)],[3145,580,theory(equality)])).
% cnf(3189,negated_conjecture,(hd(cons(esk52_0,esk54_0))=esk52_0|~ssList(app(nil,esk54_0))),inference(cn,[status(thm)],[3188,theory(equality)])).
% cnf(3190,negated_conjecture,(tl(cons(esk52_0,esk54_0))=app(nil,esk54_0)|~ssList(app(nil,esk54_0))|$false),inference(rw,[status(thm)],[3146,580,theory(equality)])).
% cnf(3191,negated_conjecture,(tl(cons(esk52_0,esk54_0))=app(nil,esk54_0)|~ssList(app(nil,esk54_0))),inference(cn,[status(thm)],[3190,theory(equality)])).
% cnf(3274,negated_conjecture,(hd(cons(esk52_0,esk54_0))=esk52_0|~ssList(esk54_0)),inference(spm,[status(thm)],[3189,154,theory(equality)])).
% cnf(3276,negated_conjecture,(hd(cons(esk52_0,esk54_0))=esk52_0|$false),inference(rw,[status(thm)],[3274,578,theory(equality)])).
% cnf(3277,negated_conjecture,(hd(cons(esk52_0,esk54_0))=esk52_0),inference(cn,[status(thm)],[3276,theory(equality)])).
% cnf(3308,negated_conjecture,(tl(cons(esk52_0,esk54_0))=esk54_0|~ssList(esk54_0)),inference(spm,[status(thm)],[3191,154,theory(equality)])).
% cnf(3310,negated_conjecture,(tl(cons(esk52_0,esk54_0))=esk54_0|$false),inference(rw,[status(thm)],[3308,578,theory(equality)])).
% cnf(3311,negated_conjecture,(tl(cons(esk52_0,esk54_0))=esk54_0),inference(cn,[status(thm)],[3310,theory(equality)])).
% cnf(3317,negated_conjecture,(esk54_0=app(nil,esk54_0)|~ssList(app(nil,esk54_0))),inference(rw,[status(thm)],[3191,3311,theory(equality)])).
% cnf(3324,negated_conjecture,(app(nil,esk54_0)=esk54_0|~ssList(esk54_0)|~ssList(nil)),inference(spm,[status(thm)],[3317,147,theory(equality)])).
% cnf(3325,negated_conjecture,(app(nil,esk54_0)=esk54_0|$false|~ssList(nil)),inference(rw,[status(thm)],[3324,578,theory(equality)])).
% cnf(3326,negated_conjecture,(app(nil,esk54_0)=esk54_0|$false|$false),inference(rw,[status(thm)],[3325,122,theory(equality)])).
% cnf(3327,negated_conjecture,(app(nil,esk54_0)=esk54_0),inference(cn,[status(thm)],[3326,theory(equality)])).
% cnf(3348,negated_conjecture,(cons(esk52_0,esk54_0)!=nil|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[3182,3327,theory(equality)]),578,theory(equality)])).
% cnf(3349,negated_conjecture,(cons(esk52_0,esk54_0)!=nil),inference(cn,[status(thm)],[3348,theory(equality)])).
% cnf(3726,negated_conjecture,(X1=esk54_0|app(cons(esk52_0,nil),X1)!=cons(esk52_0,esk54_0)|~ssList(X1)|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[3105,121,theory(equality)])).
% cnf(3727,negated_conjecture,(X1=esk54_0|app(cons(esk52_0,nil),X1)!=cons(esk52_0,esk54_0)|~ssList(X1)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3726,122,theory(equality)])).
% cnf(3728,negated_conjecture,(X1=esk54_0|app(cons(esk52_0,nil),X1)!=cons(esk52_0,esk54_0)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[3727,580,theory(equality)])).
% cnf(3729,negated_conjecture,(X1=esk54_0|app(cons(esk52_0,nil),X1)!=cons(esk52_0,esk54_0)|~ssList(X1)),inference(cn,[status(thm)],[3728,theory(equality)])).
% cnf(3731,negated_conjecture,(X1=esk54_0|cons(esk52_0,app(nil,X1))!=cons(esk52_0,esk54_0)|~ssList(X1)|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[3729,151,theory(equality)])).
% cnf(3735,negated_conjecture,(X1=esk54_0|cons(esk52_0,app(nil,X1))!=cons(esk52_0,esk54_0)|~ssList(X1)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3731,122,theory(equality)])).
% cnf(3736,negated_conjecture,(X1=esk54_0|cons(esk52_0,app(nil,X1))!=cons(esk52_0,esk54_0)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[3735,580,theory(equality)])).
% cnf(3737,negated_conjecture,(X1=esk54_0|cons(esk52_0,app(nil,X1))!=cons(esk52_0,esk54_0)|~ssList(X1)),inference(cn,[status(thm)],[3736,theory(equality)])).
% cnf(3743,negated_conjecture,(nil=esk54_0|cons(esk52_0,nil)!=cons(esk52_0,esk54_0)|~ssList(nil)),inference(spm,[status(thm)],[3737,208,theory(equality)])).
% cnf(3746,negated_conjecture,(nil=esk54_0|cons(esk52_0,nil)!=cons(esk52_0,esk54_0)|$false),inference(rw,[status(thm)],[3743,122,theory(equality)])).
% cnf(3747,negated_conjecture,(nil=esk54_0|cons(esk52_0,nil)!=cons(esk52_0,esk54_0)),inference(cn,[status(thm)],[3746,theory(equality)])).
% cnf(3752,negated_conjecture,(app(tl(esk53_0),cons(esk52_0,esk54_0))=tl(esk50_0)|esk53_0=nil|$false),inference(rw,[status(thm)],[1725,3123,theory(equality)])).
% cnf(3753,negated_conjecture,(app(tl(esk53_0),cons(esk52_0,esk54_0))=tl(esk50_0)|esk53_0=nil),inference(cn,[status(thm)],[3752,theory(equality)])).
% cnf(3764,negated_conjecture,(nil=cons(esk52_0,esk54_0)|esk53_0=nil|tl(esk50_0)!=nil|~ssList(cons(esk52_0,esk54_0))|~ssList(tl(esk53_0))),inference(spm,[status(thm)],[205,3753,theory(equality)])).
% cnf(3796,negated_conjecture,(nil=cons(esk52_0,esk54_0)|esk53_0=nil|tl(esk50_0)!=nil|$false|~ssList(tl(esk53_0))),inference(rw,[status(thm)],[3764,3123,theory(equality)])).
% cnf(3797,negated_conjecture,(nil=cons(esk52_0,esk54_0)|esk53_0=nil|tl(esk50_0)!=nil|~ssList(tl(esk53_0))),inference(cn,[status(thm)],[3796,theory(equality)])).
% cnf(3798,negated_conjecture,(esk53_0=nil|tl(esk50_0)!=nil|~ssList(tl(esk53_0))),inference(sr,[status(thm)],[3797,3349,theory(equality)])).
% cnf(3823,negated_conjecture,(esk53_0=nil|esk50_0=nil|~ssList(tl(esk53_0))),inference(spm,[status(thm)],[3798,2031,theory(equality)])).
% cnf(3825,negated_conjecture,(esk53_0=nil|~ssList(tl(esk53_0))),inference(csr,[status(thm)],[3823,3137])).
% cnf(3826,negated_conjecture,(esk53_0=nil|~ssList(esk53_0)),inference(spm,[status(thm)],[3825,383,theory(equality)])).
% cnf(3827,negated_conjecture,(esk53_0=nil|$false),inference(rw,[status(thm)],[3826,579,theory(equality)])).
% cnf(3828,negated_conjecture,(esk53_0=nil),inference(cn,[status(thm)],[3827,theory(equality)])).
% cnf(3858,negated_conjecture,(app(nil,cons(esk52_0,esk54_0))=esk50_0),inference(rw,[status(thm)],[1696,3828,theory(equality)])).
% cnf(3869,negated_conjecture,(cons(esk52_0,esk54_0)=nil|nil!=esk50_0),inference(rw,[status(thm)],[3052,3828,theory(equality)])).
% cnf(3870,negated_conjecture,(esk50_0!=nil),inference(sr,[status(thm)],[3869,3349,theory(equality)])).
% cnf(3875,negated_conjecture,(memberP(esk54_0,esk52_0)|memberP(nil,esk52_0)),inference(rw,[status(thm)],[576,3828,theory(equality)])).
% cnf(3880,negated_conjecture,(ssItem(esk55_0)),inference(sr,[status(thm)],[588,3870,theory(equality)])).
% cnf(3881,negated_conjecture,(cons(esk55_0,nil)=esk50_0),inference(sr,[status(thm)],[586,3870,theory(equality)])).
% cnf(3890,negated_conjecture,(hd(esk50_0)=esk55_0),inference(sr,[status(thm)],[1992,3870,theory(equality)])).
% cnf(4078,negated_conjecture,(esk50_0=cons(esk52_0,esk54_0)|~ssList(cons(esk52_0,esk54_0))),inference(spm,[status(thm)],[154,3858,theory(equality)])).
% cnf(4141,negated_conjecture,(esk50_0=cons(esk52_0,esk54_0)|$false),inference(rw,[status(thm)],[4078,3123,theory(equality)])).
% cnf(4142,negated_conjecture,(esk50_0=cons(esk52_0,esk54_0)),inference(cn,[status(thm)],[4141,theory(equality)])).
% cnf(4188,negated_conjecture,(esk54_0=nil|esk50_0!=cons(esk52_0,nil)),inference(rw,[status(thm)],[3747,4142,theory(equality)])).
% cnf(4190,negated_conjecture,(hd(esk50_0)=esk52_0),inference(rw,[status(thm)],[3277,4142,theory(equality)])).
% cnf(4653,negated_conjecture,(esk55_0=esk52_0),inference(rw,[status(thm)],[4190,3890,theory(equality)])).
% cnf(4654,negated_conjecture,(esk54_0=nil|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4188,4653,theory(equality)]),3881,theory(equality)])).
% cnf(4655,negated_conjecture,(esk54_0=nil),inference(cn,[status(thm)],[4654,theory(equality)])).
% cnf(4680,negated_conjecture,(memberP(nil,esk55_0)|memberP(esk54_0,esk52_0)),inference(rw,[status(thm)],[3875,4653,theory(equality)])).
% cnf(4681,negated_conjecture,(memberP(nil,esk55_0)|memberP(esk54_0,esk55_0)),inference(rw,[status(thm)],[4680,4653,theory(equality)])).
% cnf(4772,negated_conjecture,(memberP(nil,esk55_0)|memberP(nil,esk55_0)),inference(rw,[status(thm)],[4681,4655,theory(equality)])).
% cnf(4773,negated_conjecture,(memberP(nil,esk55_0)),inference(cn,[status(thm)],[4772,theory(equality)])).
% cnf(4780,negated_conjecture,(~ssItem(esk55_0)),inference(spm,[status(thm)],[182,4773,theory(equality)])).
% cnf(4799,negated_conjecture,($false),inference(rw,[status(thm)],[4780,3880,theory(equality)])).
% cnf(4800,negated_conjecture,($false),inference(cn,[status(thm)],[4799,theory(equality)])).
% cnf(4801,negated_conjecture,($false),4800,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 557
% # ...of these trivial : 24
% # ...subsumed : 121
% # ...remaining for further processing: 412
% # Other redundant clauses eliminated : 69
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 30
% # Backward-rewritten : 114
% # Generated clauses : 1674
% # ...of the previous two non-trivial : 1555
% # Contextual simplify-reflections : 112
% # Paramodulations : 1560
% # Factorizations : 0
% # Equation resolutions : 97
% # Current number of processed clauses: 245
% # Positive orientable unit clauses: 44
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 4
% # Non-unit-clauses : 197
% # Current number of unprocessed clauses: 606
% # ...number of literals in the above : 3962
% # Clause-clause subsumption calls (NU) : 2522
% # Rec. Clause-clause subsumption calls : 1521
% # Unit Clause-clause subsumption calls : 361
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 32
% # Indexed BW rewrite successes : 32
% # Backwards rewriting index: 268 leaves, 1.30+/-1.066 terms/leaf
% # Paramod-from index: 132 leaves, 1.00+/-0.000 terms/leaf
% # Paramod-into index: 232 leaves, 1.20+/-0.908 terms/leaf
% # -------------------------------------------------
% # User time : 0.126 s
% # System time : 0.013 s
% # Total time : 0.139 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.30 CPU 0.39 WC
% FINAL PrfWatch: 0.30 CPU 0.39 WC
% SZS output end Solution for /tmp/SystemOnTPTP31824/SWC183+1.tptp
%
%------------------------------------------------------------------------------