TSTP Solution File: SWC412+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC412+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Thu Dec 30 08:10:02 EST 2010
% Result : Theorem 7.06s
% Output : Solution 7.06s
% 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/SystemOnTPTP14764/SWC412+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP14764/SWC412+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP14764/SWC412+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 14896
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.92 CPU 2.01 WC
% # Preprocessing time : 0.030 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.91 CPU 4.02 WC
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>ssList(cons(X2,X1)))),file('/tmp/SRASS.s.p', ax16)).
% fof(3, axiom,ssList(nil),file('/tmp/SRASS.s.p', ax17)).
% fof(8, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>ssList(app(X1,X2)))),file('/tmp/SRASS.s.p', ax26)).
% fof(9, 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(10, axiom,![X1]:(ssList(X1)=>app(nil,X1)=X1),file('/tmp/SRASS.s.p', ax28)).
% fof(11, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>(app(X3,X2)=app(X1,X2)=>X3=X1)))),file('/tmp/SRASS.s.p', ax79)).
% fof(12, 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(13, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>cons(X2,X1)=app(cons(X2,nil),X1))),file('/tmp/SRASS.s.p', ax81)).
% fof(14, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>app(app(X1,X2),X3)=app(X1,app(X2,X3))))),file('/tmp/SRASS.s.p', ax82)).
% fof(23, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>hd(cons(X2,X1))=X2)),file('/tmp/SRASS.s.p', ax23)).
% fof(24, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>tl(cons(X2,X1))=X1)),file('/tmp/SRASS.s.p', ax25)).
% fof(36, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(frontsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X2,X3)=X1)))),file('/tmp/SRASS.s.p', ax5)).
% 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)&app(app(cons(X5,nil),cons(X6,nil)),X7)=X4)))|![X8]:(ssItem(X8)=>![X9]:(ssItem(X9)=>![X10]:(ssList(X10)=>~(app(app(cons(X8,nil),cons(X9,nil)),X10)=X2)))))&((?[X11]:(ssItem(X11)&?[X12]:(ssItem(X12)&?[X13]:((ssList(X13)&~(app(app(cons(X12,nil),X13),cons(X11,nil))=X3))&app(app(cons(X11,nil),X13),cons(X12,nil))=X4)))|![X14]:(ssItem(X14)=>![X15]:(ssItem(X15)=>![X16]:(ssList(X16)=>~(app(app(cons(X14,nil),cons(X15,nil)),X16)=X2)))))|![X17]:(ssItem(X17)=>![X18]:(ssItem(X18)=>![X19]:((~(ssList(X19))|~(app(app(cons(X17,nil),X19),cons(X18,nil))=X2))|app(app(cons(X18,nil),X19),cons(X17,nil))=X1))))))))),file('/tmp/SRASS.s.p', co1)).
% fof(97, negated_conjecture,~(![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(((~(ssList(X4))|~(X2=X4))|~(X1=X3))|((?[X5]:(ssItem(X5)&?[X6]:(ssItem(X6)&?[X7]:(ssList(X7)&app(app(cons(X5,nil),cons(X6,nil)),X7)=X4)))|![X8]:(ssItem(X8)=>![X9]:(ssItem(X9)=>![X10]:(ssList(X10)=>~(app(app(cons(X8,nil),cons(X9,nil)),X10)=X2)))))&((?[X11]:(ssItem(X11)&?[X12]:(ssItem(X12)&?[X13]:((ssList(X13)&~(app(app(cons(X12,nil),X13),cons(X11,nil))=X3))&app(app(cons(X11,nil),X13),cons(X12,nil))=X4)))|![X14]:(ssItem(X14)=>![X15]:(ssItem(X15)=>![X16]:(ssList(X16)=>~(app(app(cons(X14,nil),cons(X15,nil)),X16)=X2)))))|![X17]:(ssItem(X17)=>![X18]:(ssItem(X18)=>![X19]:((~(ssList(X19))|~(app(app(cons(X17,nil),X19),cons(X18,nil))=X2))|app(app(cons(X18,nil),X19),cons(X17,nil))=X1)))))))))),inference(assume_negation,[status(cth)],[96])).
% fof(103, negated_conjecture,~(![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(((~(ssList(X4))|~(X2=X4))|~(X1=X3))|((?[X5]:(ssItem(X5)&?[X6]:(ssItem(X6)&?[X7]:(ssList(X7)&app(app(cons(X5,nil),cons(X6,nil)),X7)=X4)))|![X8]:(ssItem(X8)=>![X9]:(ssItem(X9)=>![X10]:(ssList(X10)=>~(app(app(cons(X8,nil),cons(X9,nil)),X10)=X2)))))&((?[X11]:(ssItem(X11)&?[X12]:(ssItem(X12)&?[X13]:((ssList(X13)&~(app(app(cons(X12,nil),X13),cons(X11,nil))=X3))&app(app(cons(X11,nil),X13),cons(X12,nil))=X4)))|![X14]:(ssItem(X14)=>![X15]:(ssItem(X15)=>![X16]:(ssList(X16)=>~(app(app(cons(X14,nil),cons(X15,nil)),X16)=X2)))))|![X17]:(ssItem(X17)=>![X18]:(ssItem(X18)=>![X19]:((~(ssList(X19))|~(app(app(cons(X17,nil),X19),cons(X18,nil))=X2))|app(app(cons(X18,nil),X19),cons(X17,nil))=X1)))))))))),inference(fof_simplification,[status(thm)],[97,theory(equality)])).
% fof(109, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|ssList(cons(X2,X1)))),inference(fof_nnf,[status(thm)],[2])).
% fof(110, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|ssList(cons(X4,X3)))),inference(variable_rename,[status(thm)],[109])).
% fof(111, plain,![X3]:![X4]:((~(ssItem(X4))|ssList(cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[110])).
% cnf(112,plain,(ssList(cons(X2,X1))|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[111])).
% cnf(113,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[3])).
% fof(135, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|ssList(app(X1,X2)))),inference(fof_nnf,[status(thm)],[8])).
% fof(136, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|ssList(app(X3,X4)))),inference(variable_rename,[status(thm)],[135])).
% fof(137, plain,![X3]:![X4]:((~(ssList(X4))|ssList(app(X3,X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[136])).
% cnf(138,plain,(ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[137])).
% fof(139, 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)],[9])).
% fof(140, 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)],[139])).
% fof(141, 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)],[140])).
% cnf(142,plain,(cons(X3,app(X2,X1))=app(cons(X3,X2),X1)|~ssList(X1)|~ssList(X2)|~ssItem(X3)),inference(split_conjunct,[status(thm)],[141])).
% fof(143, plain,![X1]:(~(ssList(X1))|app(nil,X1)=X1),inference(fof_nnf,[status(thm)],[10])).
% fof(144, plain,![X2]:(~(ssList(X2))|app(nil,X2)=X2),inference(variable_rename,[status(thm)],[143])).
% cnf(145,plain,(app(nil,X1)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[144])).
% fof(146, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X3,X2)=app(X1,X2))|X3=X1)))),inference(fof_nnf,[status(thm)],[11])).
% fof(147, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X6,X5)=app(X4,X5))|X6=X4)))),inference(variable_rename,[status(thm)],[146])).
% fof(148, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X6,X5)=app(X4,X5))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[147])).
% cnf(149,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X3,X2)!=app(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[148])).
% fof(150, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X2,X3)=app(X2,X1))|X3=X1)))),inference(fof_nnf,[status(thm)],[12])).
% fof(151, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4)))),inference(variable_rename,[status(thm)],[150])).
% fof(152, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[151])).
% cnf(153,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X2,X3)!=app(X2,X1)|~ssList(X3)),inference(split_conjunct,[status(thm)],[152])).
% fof(154, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|cons(X2,X1)=app(cons(X2,nil),X1))),inference(fof_nnf,[status(thm)],[13])).
% fof(155, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))),inference(variable_rename,[status(thm)],[154])).
% fof(156, plain,![X3]:![X4]:((~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[155])).
% cnf(157,plain,(cons(X2,X1)=app(cons(X2,nil),X1)|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[156])).
% fof(158, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|app(app(X1,X2),X3)=app(X1,app(X2,X3))))),inference(fof_nnf,[status(thm)],[14])).
% fof(159, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|app(app(X4,X5),X6)=app(X4,app(X5,X6))))),inference(variable_rename,[status(thm)],[158])).
% fof(160, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|app(app(X4,X5),X6)=app(X4,app(X5,X6)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[159])).
% cnf(161,plain,(app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X1)|~ssList(X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[160])).
% fof(222, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|hd(cons(X2,X1))=X2)),inference(fof_nnf,[status(thm)],[23])).
% fof(223, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|hd(cons(X4,X3))=X4)),inference(variable_rename,[status(thm)],[222])).
% fof(224, plain,![X3]:![X4]:((~(ssItem(X4))|hd(cons(X4,X3))=X4)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[223])).
% cnf(225,plain,(hd(cons(X2,X1))=X2|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[224])).
% fof(226, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|tl(cons(X2,X1))=X1)),inference(fof_nnf,[status(thm)],[24])).
% fof(227, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|tl(cons(X4,X3))=X3)),inference(variable_rename,[status(thm)],[226])).
% fof(228, plain,![X3]:![X4]:((~(ssItem(X4))|tl(cons(X4,X3))=X3)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[227])).
% cnf(229,plain,(tl(cons(X2,X1))=X1|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[228])).
% fof(274, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(frontsegP(X1,X2))|?[X3]:(ssList(X3)&app(X2,X3)=X1))&(![X3]:(~(ssList(X3))|~(app(X2,X3)=X1))|frontsegP(X1,X2))))),inference(fof_nnf,[status(thm)],[36])).
% fof(275, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(frontsegP(X4,X5))|?[X6]:(ssList(X6)&app(X5,X6)=X4))&(![X7]:(~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))))),inference(variable_rename,[status(thm)],[274])).
% fof(276, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(frontsegP(X4,X5))|(ssList(esk18_2(X4,X5))&app(X5,esk18_2(X4,X5))=X4))&(![X7]:(~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))))),inference(skolemize,[status(esa)],[275])).
% fof(277, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))&(~(frontsegP(X4,X5))|(ssList(esk18_2(X4,X5))&app(X5,esk18_2(X4,X5))=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[276])).
% fof(278, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk18_2(X4,X5))|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(X5,esk18_2(X4,X5))=X4|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[277])).
% cnf(279,plain,(app(X2,esk18_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[278])).
% cnf(280,plain,(ssList(esk18_2(X1,X2))|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[278])).
% cnf(281,plain,(frontsegP(X1,X2)|~ssList(X1)|~ssList(X2)|app(X2,X3)!=X1|~ssList(X3)),inference(split_conjunct,[status(thm)],[278])).
% fof(568, negated_conjecture,?[X1]:(ssList(X1)&?[X2]:(ssList(X2)&?[X3]:(ssList(X3)&?[X4]:(((ssList(X4)&X2=X4)&X1=X3)&((![X5]:(~(ssItem(X5))|![X6]:(~(ssItem(X6))|![X7]:(~(ssList(X7))|~(app(app(cons(X5,nil),cons(X6,nil)),X7)=X4))))&?[X8]:(ssItem(X8)&?[X9]:(ssItem(X9)&?[X10]:(ssList(X10)&app(app(cons(X8,nil),cons(X9,nil)),X10)=X2))))|((![X11]:(~(ssItem(X11))|![X12]:(~(ssItem(X12))|![X13]:((~(ssList(X13))|app(app(cons(X12,nil),X13),cons(X11,nil))=X3)|~(app(app(cons(X11,nil),X13),cons(X12,nil))=X4))))&?[X14]:(ssItem(X14)&?[X15]:(ssItem(X15)&?[X16]:(ssList(X16)&app(app(cons(X14,nil),cons(X15,nil)),X16)=X2))))&?[X17]:(ssItem(X17)&?[X18]:(ssItem(X18)&?[X19]:((ssList(X19)&app(app(cons(X17,nil),X19),cons(X18,nil))=X2)&~(app(app(cons(X18,nil),X19),cons(X17,nil))=X1)))))))))),inference(fof_nnf,[status(thm)],[103])).
% fof(569, negated_conjecture,?[X20]:(ssList(X20)&?[X21]:(ssList(X21)&?[X22]:(ssList(X22)&?[X23]:(((ssList(X23)&X21=X23)&X20=X22)&((![X24]:(~(ssItem(X24))|![X25]:(~(ssItem(X25))|![X26]:(~(ssList(X26))|~(app(app(cons(X24,nil),cons(X25,nil)),X26)=X23))))&?[X27]:(ssItem(X27)&?[X28]:(ssItem(X28)&?[X29]:(ssList(X29)&app(app(cons(X27,nil),cons(X28,nil)),X29)=X21))))|((![X30]:(~(ssItem(X30))|![X31]:(~(ssItem(X31))|![X32]:((~(ssList(X32))|app(app(cons(X31,nil),X32),cons(X30,nil))=X22)|~(app(app(cons(X30,nil),X32),cons(X31,nil))=X23))))&?[X33]:(ssItem(X33)&?[X34]:(ssItem(X34)&?[X35]:(ssList(X35)&app(app(cons(X33,nil),cons(X34,nil)),X35)=X21))))&?[X36]:(ssItem(X36)&?[X37]:(ssItem(X37)&?[X38]:((ssList(X38)&app(app(cons(X36,nil),X38),cons(X37,nil))=X21)&~(app(app(cons(X37,nil),X38),cons(X36,nil))=X20)))))))))),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)&((![X24]:(~(ssItem(X24))|![X25]:(~(ssItem(X25))|![X26]:(~(ssList(X26))|~(app(app(cons(X24,nil),cons(X25,nil)),X26)=esk51_0))))&(ssItem(esk52_0)&(ssItem(esk53_0)&(ssList(esk54_0)&app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0))))|((![X30]:(~(ssItem(X30))|![X31]:(~(ssItem(X31))|![X32]:((~(ssList(X32))|app(app(cons(X31,nil),X32),cons(X30,nil))=esk50_0)|~(app(app(cons(X30,nil),X32),cons(X31,nil))=esk51_0))))&(ssItem(esk55_0)&(ssItem(esk56_0)&(ssList(esk57_0)&app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk49_0))))&(ssItem(esk58_0)&(ssItem(esk59_0)&((ssList(esk60_0)&app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil))=esk49_0)&~(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0)))))))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,![X24]:![X25]:![X26]:![X30]:![X31]:![X32]:(((((((((((~(ssList(X32))|app(app(cons(X31,nil),X32),cons(X30,nil))=esk50_0)|~(app(app(cons(X30,nil),X32),cons(X31,nil))=esk51_0))|~(ssItem(X31)))|~(ssItem(X30)))&(ssItem(esk55_0)&(ssItem(esk56_0)&(ssList(esk57_0)&app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk49_0))))&(ssItem(esk58_0)&(ssItem(esk59_0)&((ssList(esk60_0)&app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil))=esk49_0)&~(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0)))))|((((~(ssList(X26))|~(app(app(cons(X24,nil),cons(X25,nil)),X26)=esk51_0))|~(ssItem(X25)))|~(ssItem(X24)))&(ssItem(esk52_0)&(ssItem(esk53_0)&(ssList(esk54_0)&app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0)))))&((ssList(esk51_0)&esk49_0=esk51_0)&esk48_0=esk50_0))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(shift_quantors,[status(thm)],[570])).
% fof(572, negated_conjecture,![X24]:![X25]:![X26]:![X30]:![X31]:![X32]:(((((((((((~(ssList(X26))|~(app(app(cons(X24,nil),cons(X25,nil)),X26)=esk51_0))|~(ssItem(X25)))|~(ssItem(X24)))|((((~(ssList(X32))|app(app(cons(X31,nil),X32),cons(X30,nil))=esk50_0)|~(app(app(cons(X30,nil),X32),cons(X31,nil))=esk51_0))|~(ssItem(X31)))|~(ssItem(X30))))&((ssItem(esk52_0)|((((~(ssList(X32))|app(app(cons(X31,nil),X32),cons(X30,nil))=esk50_0)|~(app(app(cons(X30,nil),X32),cons(X31,nil))=esk51_0))|~(ssItem(X31)))|~(ssItem(X30))))&((ssItem(esk53_0)|((((~(ssList(X32))|app(app(cons(X31,nil),X32),cons(X30,nil))=esk50_0)|~(app(app(cons(X30,nil),X32),cons(X31,nil))=esk51_0))|~(ssItem(X31)))|~(ssItem(X30))))&((ssList(esk54_0)|((((~(ssList(X32))|app(app(cons(X31,nil),X32),cons(X30,nil))=esk50_0)|~(app(app(cons(X30,nil),X32),cons(X31,nil))=esk51_0))|~(ssItem(X31)))|~(ssItem(X30))))&(app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|((((~(ssList(X32))|app(app(cons(X31,nil),X32),cons(X30,nil))=esk50_0)|~(app(app(cons(X30,nil),X32),cons(X31,nil))=esk51_0))|~(ssItem(X31)))|~(ssItem(X30))))))))&((((((~(ssList(X26))|~(app(app(cons(X24,nil),cons(X25,nil)),X26)=esk51_0))|~(ssItem(X25)))|~(ssItem(X24)))|ssItem(esk55_0))&((ssItem(esk52_0)|ssItem(esk55_0))&((ssItem(esk53_0)|ssItem(esk55_0))&((ssList(esk54_0)|ssItem(esk55_0))&(app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|ssItem(esk55_0))))))&((((((~(ssList(X26))|~(app(app(cons(X24,nil),cons(X25,nil)),X26)=esk51_0))|~(ssItem(X25)))|~(ssItem(X24)))|ssItem(esk56_0))&((ssItem(esk52_0)|ssItem(esk56_0))&((ssItem(esk53_0)|ssItem(esk56_0))&((ssList(esk54_0)|ssItem(esk56_0))&(app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|ssItem(esk56_0))))))&((((((~(ssList(X26))|~(app(app(cons(X24,nil),cons(X25,nil)),X26)=esk51_0))|~(ssItem(X25)))|~(ssItem(X24)))|ssList(esk57_0))&((ssItem(esk52_0)|ssList(esk57_0))&((ssItem(esk53_0)|ssList(esk57_0))&((ssList(esk54_0)|ssList(esk57_0))&(app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|ssList(esk57_0))))))&(((((~(ssList(X26))|~(app(app(cons(X24,nil),cons(X25,nil)),X26)=esk51_0))|~(ssItem(X25)))|~(ssItem(X24)))|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk49_0)&((ssItem(esk52_0)|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk49_0)&((ssItem(esk53_0)|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk49_0)&((ssList(esk54_0)|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk49_0)&(app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk49_0)))))))))&((((((~(ssList(X26))|~(app(app(cons(X24,nil),cons(X25,nil)),X26)=esk51_0))|~(ssItem(X25)))|~(ssItem(X24)))|ssItem(esk58_0))&((ssItem(esk52_0)|ssItem(esk58_0))&((ssItem(esk53_0)|ssItem(esk58_0))&((ssList(esk54_0)|ssItem(esk58_0))&(app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|ssItem(esk58_0))))))&((((((~(ssList(X26))|~(app(app(cons(X24,nil),cons(X25,nil)),X26)=esk51_0))|~(ssItem(X25)))|~(ssItem(X24)))|ssItem(esk59_0))&((ssItem(esk52_0)|ssItem(esk59_0))&((ssItem(esk53_0)|ssItem(esk59_0))&((ssList(esk54_0)|ssItem(esk59_0))&(app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|ssItem(esk59_0))))))&(((((((~(ssList(X26))|~(app(app(cons(X24,nil),cons(X25,nil)),X26)=esk51_0))|~(ssItem(X25)))|~(ssItem(X24)))|ssList(esk60_0))&((ssItem(esk52_0)|ssList(esk60_0))&((ssItem(esk53_0)|ssList(esk60_0))&((ssList(esk54_0)|ssList(esk60_0))&(app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|ssList(esk60_0))))))&(((((~(ssList(X26))|~(app(app(cons(X24,nil),cons(X25,nil)),X26)=esk51_0))|~(ssItem(X25)))|~(ssItem(X24)))|app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil))=esk49_0)&((ssItem(esk52_0)|app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil))=esk49_0)&((ssItem(esk53_0)|app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil))=esk49_0)&((ssList(esk54_0)|app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil))=esk49_0)&(app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil))=esk49_0))))))&(((((~(ssList(X26))|~(app(app(cons(X24,nil),cons(X25,nil)),X26)=esk51_0))|~(ssItem(X25)))|~(ssItem(X24)))|~(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0))&((ssItem(esk52_0)|~(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0))&((ssItem(esk53_0)|~(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0))&((ssList(esk54_0)|~(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0))&(app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|~(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0))))))))))&((ssList(esk51_0)&esk49_0=esk51_0)&esk48_0=esk50_0))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(distribute,[status(thm)],[571])).
% cnf(573,negated_conjecture,(ssList(esk48_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(574,negated_conjecture,(ssList(esk49_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(576,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(577,negated_conjecture,(esk49_0=esk51_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(579,negated_conjecture,(app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))!=esk48_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(580,negated_conjecture,(ssList(esk54_0)|app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))!=esk48_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(581,negated_conjecture,(ssItem(esk53_0)|app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))!=esk48_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(582,negated_conjecture,(ssItem(esk52_0)|app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))!=esk48_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(583,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))!=esk48_0|~ssItem(X1)|~ssItem(X2)|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk51_0|~ssList(X3)),inference(split_conjunct,[status(thm)],[572])).
% cnf(584,negated_conjecture,(app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil))=esk49_0|app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(585,negated_conjecture,(app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil))=esk49_0|ssList(esk54_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(586,negated_conjecture,(app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil))=esk49_0|ssItem(esk53_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(587,negated_conjecture,(app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil))=esk49_0|ssItem(esk52_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(588,negated_conjecture,(app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil))=esk49_0|~ssItem(X1)|~ssItem(X2)|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk51_0|~ssList(X3)),inference(split_conjunct,[status(thm)],[572])).
% cnf(589,negated_conjecture,(ssList(esk60_0)|app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(590,negated_conjecture,(ssList(esk60_0)|ssList(esk54_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(591,negated_conjecture,(ssList(esk60_0)|ssItem(esk53_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(592,negated_conjecture,(ssList(esk60_0)|ssItem(esk52_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(593,negated_conjecture,(ssList(esk60_0)|~ssItem(X1)|~ssItem(X2)|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk51_0|~ssList(X3)),inference(split_conjunct,[status(thm)],[572])).
% cnf(594,negated_conjecture,(ssItem(esk59_0)|app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(595,negated_conjecture,(ssItem(esk59_0)|ssList(esk54_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(596,negated_conjecture,(ssItem(esk59_0)|ssItem(esk53_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(597,negated_conjecture,(ssItem(esk59_0)|ssItem(esk52_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(598,negated_conjecture,(ssItem(esk59_0)|~ssItem(X1)|~ssItem(X2)|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk51_0|~ssList(X3)),inference(split_conjunct,[status(thm)],[572])).
% cnf(599,negated_conjecture,(ssItem(esk58_0)|app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(600,negated_conjecture,(ssItem(esk58_0)|ssList(esk54_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(601,negated_conjecture,(ssItem(esk58_0)|ssItem(esk53_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(602,negated_conjecture,(ssItem(esk58_0)|ssItem(esk52_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(603,negated_conjecture,(ssItem(esk58_0)|~ssItem(X1)|~ssItem(X2)|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk51_0|~ssList(X3)),inference(split_conjunct,[status(thm)],[572])).
% cnf(624,negated_conjecture,(app(app(cons(X2,nil),X3),cons(X1,nil))=esk50_0|app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|~ssItem(X1)|~ssItem(X2)|app(app(cons(X1,nil),X3),cons(X2,nil))!=esk51_0|~ssList(X3)),inference(split_conjunct,[status(thm)],[572])).
% cnf(625,negated_conjecture,(app(app(cons(X2,nil),X3),cons(X1,nil))=esk50_0|ssList(esk54_0)|~ssItem(X1)|~ssItem(X2)|app(app(cons(X1,nil),X3),cons(X2,nil))!=esk51_0|~ssList(X3)),inference(split_conjunct,[status(thm)],[572])).
% cnf(626,negated_conjecture,(app(app(cons(X2,nil),X3),cons(X1,nil))=esk50_0|ssItem(esk53_0)|~ssItem(X1)|~ssItem(X2)|app(app(cons(X1,nil),X3),cons(X2,nil))!=esk51_0|~ssList(X3)),inference(split_conjunct,[status(thm)],[572])).
% cnf(627,negated_conjecture,(app(app(cons(X2,nil),X3),cons(X1,nil))=esk50_0|ssItem(esk52_0)|~ssItem(X1)|~ssItem(X2)|app(app(cons(X1,nil),X3),cons(X2,nil))!=esk51_0|~ssList(X3)),inference(split_conjunct,[status(thm)],[572])).
% cnf(628,negated_conjecture,(app(app(cons(X2,nil),X3),cons(X1,nil))=esk50_0|~ssItem(X1)|~ssItem(X2)|app(app(cons(X1,nil),X3),cons(X2,nil))!=esk51_0|~ssList(X3)|~ssItem(X4)|~ssItem(X5)|app(app(cons(X4,nil),cons(X5,nil)),X6)!=esk51_0|~ssList(X6)),inference(split_conjunct,[status(thm)],[572])).
% cnf(745,negated_conjecture,(ssItem(esk58_0)|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk49_0|~ssItem(X2)|~ssItem(X1)|~ssList(X3)),inference(rw,[status(thm)],[603,577,theory(equality)])).
% cnf(753,negated_conjecture,(ssItem(esk58_0)|~ssList(esk54_0)|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[745,599,theory(equality)])).
% cnf(760,negated_conjecture,(ssItem(esk59_0)|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk49_0|~ssItem(X2)|~ssItem(X1)|~ssList(X3)),inference(rw,[status(thm)],[598,577,theory(equality)])).
% cnf(769,negated_conjecture,(ssItem(esk59_0)|~ssList(esk54_0)|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[760,594,theory(equality)])).
% cnf(790,negated_conjecture,(ssList(esk60_0)|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk49_0|~ssItem(X2)|~ssItem(X1)|~ssList(X3)),inference(rw,[status(thm)],[593,577,theory(equality)])).
% cnf(801,negated_conjecture,(ssList(esk60_0)|~ssList(esk54_0)|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[790,589,theory(equality)])).
% cnf(844,negated_conjecture,(app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk49_0|app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))!=esk48_0|~ssItem(X2)|~ssItem(X1)|~ssList(X3)),inference(rw,[status(thm)],[583,577,theory(equality)])).
% cnf(853,negated_conjecture,(app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil))=esk49_0|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk49_0|~ssItem(X2)|~ssItem(X1)|~ssList(X3)),inference(rw,[status(thm)],[588,577,theory(equality)])).
% cnf(867,negated_conjecture,(app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil))=esk49_0|~ssList(esk54_0)|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[853,584,theory(equality)])).
% cnf(1037,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)|~ssList(app(X1,X2))),inference(er,[status(thm)],[281,theory(equality)])).
% cnf(1175,plain,(X1=cons(X2,X3)|app(X1,X4)!=cons(X2,app(X3,X4))|~ssList(cons(X2,X3))|~ssList(X4)|~ssList(X1)|~ssList(X3)|~ssItem(X2)),inference(spm,[status(thm)],[149,142,theory(equality)])).
% cnf(1177,plain,(X1=X2|app(cons(X3,X4),X1)!=cons(X3,app(X4,X2))|~ssList(X2)|~ssList(cons(X3,X4))|~ssList(X1)|~ssList(X4)|~ssItem(X3)),inference(spm,[status(thm)],[153,142,theory(equality)])).
% cnf(1335,negated_conjecture,(app(app(cons(X2,nil),X3),cons(X1,nil))=esk48_0|ssItem(esk52_0)|app(app(cons(X1,nil),X3),cons(X2,nil))!=esk51_0|~ssItem(X2)|~ssItem(X1)|~ssList(X3)),inference(rw,[status(thm)],[627,576,theory(equality)])).
% cnf(1336,negated_conjecture,(app(app(cons(X2,nil),X3),cons(X1,nil))=esk48_0|ssItem(esk52_0)|app(app(cons(X1,nil),X3),cons(X2,nil))!=esk49_0|~ssItem(X2)|~ssItem(X1)|~ssList(X3)),inference(rw,[status(thm)],[1335,577,theory(equality)])).
% cnf(1350,negated_conjecture,(app(app(cons(X2,nil),X3),cons(X1,nil))=esk48_0|ssItem(esk53_0)|app(app(cons(X1,nil),X3),cons(X2,nil))!=esk51_0|~ssItem(X2)|~ssItem(X1)|~ssList(X3)),inference(rw,[status(thm)],[626,576,theory(equality)])).
% cnf(1351,negated_conjecture,(app(app(cons(X2,nil),X3),cons(X1,nil))=esk48_0|ssItem(esk53_0)|app(app(cons(X1,nil),X3),cons(X2,nil))!=esk49_0|~ssItem(X2)|~ssItem(X1)|~ssList(X3)),inference(rw,[status(thm)],[1350,577,theory(equality)])).
% cnf(1365,negated_conjecture,(app(app(cons(X2,nil),X3),cons(X1,nil))=esk48_0|ssList(esk54_0)|app(app(cons(X1,nil),X3),cons(X2,nil))!=esk51_0|~ssItem(X2)|~ssItem(X1)|~ssList(X3)),inference(rw,[status(thm)],[625,576,theory(equality)])).
% cnf(1366,negated_conjecture,(app(app(cons(X2,nil),X3),cons(X1,nil))=esk48_0|ssList(esk54_0)|app(app(cons(X1,nil),X3),cons(X2,nil))!=esk49_0|~ssItem(X2)|~ssItem(X1)|~ssList(X3)),inference(rw,[status(thm)],[1365,577,theory(equality)])).
% cnf(1473,negated_conjecture,(app(app(cons(X2,nil),X3),cons(X1,nil))=esk48_0|app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|app(app(cons(X1,nil),X3),cons(X2,nil))!=esk51_0|~ssItem(X2)|~ssItem(X1)|~ssList(X3)),inference(rw,[status(thm)],[624,576,theory(equality)])).
% cnf(1474,negated_conjecture,(app(app(cons(X2,nil),X3),cons(X1,nil))=esk48_0|app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|app(app(cons(X1,nil),X3),cons(X2,nil))!=esk49_0|~ssItem(X2)|~ssItem(X1)|~ssList(X3)),inference(rw,[status(thm)],[1473,577,theory(equality)])).
% cnf(1591,negated_conjecture,(app(app(cons(X2,nil),X3),cons(X1,nil))=esk48_0|app(app(cons(X1,nil),X3),cons(X2,nil))!=esk51_0|app(app(cons(X4,nil),cons(X5,nil)),X6)!=esk51_0|~ssItem(X5)|~ssItem(X4)|~ssItem(X2)|~ssItem(X1)|~ssList(X6)|~ssList(X3)),inference(rw,[status(thm)],[628,576,theory(equality)])).
% cnf(1592,negated_conjecture,(app(app(cons(X2,nil),X3),cons(X1,nil))=esk48_0|app(app(cons(X1,nil),X3),cons(X2,nil))!=esk49_0|app(app(cons(X4,nil),cons(X5,nil)),X6)!=esk51_0|~ssItem(X5)|~ssItem(X4)|~ssItem(X2)|~ssItem(X1)|~ssList(X6)|~ssList(X3)),inference(rw,[status(thm)],[1591,577,theory(equality)])).
% cnf(1593,negated_conjecture,(app(app(cons(X2,nil),X3),cons(X1,nil))=esk48_0|app(app(cons(X1,nil),X3),cons(X2,nil))!=esk49_0|app(app(cons(X4,nil),cons(X5,nil)),X6)!=esk49_0|~ssItem(X5)|~ssItem(X4)|~ssItem(X2)|~ssItem(X1)|~ssList(X6)|~ssList(X3)),inference(rw,[status(thm)],[1592,577,theory(equality)])).
% fof(1594, plain,(~(epred1_0)<=>![X1]:![X3]:![X2]:((((app(app(cons(X2,nil),X3),cons(X1,nil))=esk48_0|~(app(app(cons(X1,nil),X3),cons(X2,nil))=esk49_0))|~(ssList(X3)))|~(ssItem(X1)))|~(ssItem(X2)))),introduced(definition),['split']).
% cnf(1595,plain,(epred1_0|app(app(cons(X2,nil),X3),cons(X1,nil))=esk48_0|~ssItem(X1)|~ssItem(X2)|~ssList(X3)|app(app(cons(X1,nil),X3),cons(X2,nil))!=esk49_0),inference(split_equiv,[status(thm)],[1594])).
% fof(1596, plain,(~(epred2_0)<=>![X4]:![X6]:![X5]:(((~(app(app(cons(X4,nil),cons(X5,nil)),X6)=esk49_0)|~(ssList(X6)))|~(ssItem(X4)))|~(ssItem(X5)))),introduced(definition),['split']).
% cnf(1597,plain,(epred2_0|~ssItem(X4)|~ssItem(X5)|~ssList(X6)|app(app(cons(X4,nil),cons(X5,nil)),X6)!=esk49_0),inference(split_equiv,[status(thm)],[1596])).
% cnf(1598,negated_conjecture,(~epred2_0|~epred1_0),inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[1593,1594,theory(equality)]),1596,theory(equality)]),['split']).
% cnf(1963,negated_conjecture,(ssList(esk60_0)|~ssList(esk54_0)|~ssItem(esk53_0)),inference(csr,[status(thm)],[801,592])).
% cnf(1964,negated_conjecture,(ssList(esk60_0)|~ssList(esk54_0)),inference(csr,[status(thm)],[1963,591])).
% cnf(1965,negated_conjecture,(ssList(esk60_0)),inference(csr,[status(thm)],[1964,590])).
% cnf(1980,negated_conjecture,(ssItem(esk58_0)|~ssList(esk54_0)|~ssItem(esk53_0)),inference(csr,[status(thm)],[753,602])).
% cnf(1981,negated_conjecture,(ssItem(esk58_0)|~ssList(esk54_0)),inference(csr,[status(thm)],[1980,601])).
% cnf(1982,negated_conjecture,(ssItem(esk58_0)),inference(csr,[status(thm)],[1981,600])).
% cnf(1985,negated_conjecture,(ssItem(esk59_0)|~ssList(esk54_0)|~ssItem(esk53_0)),inference(csr,[status(thm)],[769,597])).
% cnf(1986,negated_conjecture,(ssItem(esk59_0)|~ssList(esk54_0)),inference(csr,[status(thm)],[1985,596])).
% cnf(1987,negated_conjecture,(ssItem(esk59_0)),inference(csr,[status(thm)],[1986,595])).
% cnf(3869,negated_conjecture,(app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil))=esk49_0|~ssList(esk54_0)|~ssItem(esk53_0)),inference(csr,[status(thm)],[867,587])).
% cnf(3870,negated_conjecture,(app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil))=esk49_0|~ssList(esk54_0)),inference(csr,[status(thm)],[3869,586])).
% cnf(3871,negated_conjecture,(app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil))=esk49_0),inference(csr,[status(thm)],[3870,585])).
% cnf(3892,negated_conjecture,(esk49_0=app(cons(esk58_0,nil),app(esk60_0,cons(esk59_0,nil)))|~ssList(cons(esk59_0,nil))|~ssList(esk60_0)|~ssList(cons(esk58_0,nil))),inference(spm,[status(thm)],[161,3871,theory(equality)])).
% cnf(3894,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0|ssItem(esk52_0)|~ssList(esk60_0)|~ssItem(esk59_0)|~ssItem(esk58_0)),inference(spm,[status(thm)],[1336,3871,theory(equality)])).
% cnf(3895,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0|ssItem(esk53_0)|~ssList(esk60_0)|~ssItem(esk59_0)|~ssItem(esk58_0)),inference(spm,[status(thm)],[1351,3871,theory(equality)])).
% cnf(3896,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0|ssList(esk54_0)|~ssList(esk60_0)|~ssItem(esk59_0)|~ssItem(esk58_0)),inference(spm,[status(thm)],[1366,3871,theory(equality)])).
% cnf(3897,negated_conjecture,(app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0|~ssList(esk60_0)|~ssItem(esk59_0)|~ssItem(esk58_0)),inference(spm,[status(thm)],[1474,3871,theory(equality)])).
% cnf(3898,negated_conjecture,(app(cons(esk58_0,app(nil,esk60_0)),cons(esk59_0,nil))=esk49_0|~ssList(nil)|~ssList(esk60_0)|~ssItem(esk58_0)),inference(spm,[status(thm)],[3871,142,theory(equality)])).
% cnf(3899,negated_conjecture,(app(cons(esk58_0,esk60_0),cons(esk59_0,nil))=esk49_0|~ssList(esk60_0)|~ssItem(esk58_0)),inference(spm,[status(thm)],[3871,157,theory(equality)])).
% cnf(3923,negated_conjecture,(esk49_0=app(cons(esk58_0,nil),app(esk60_0,cons(esk59_0,nil)))|~ssList(cons(esk59_0,nil))|$false|~ssList(cons(esk58_0,nil))),inference(rw,[status(thm)],[3892,1965,theory(equality)])).
% cnf(3924,negated_conjecture,(esk49_0=app(cons(esk58_0,nil),app(esk60_0,cons(esk59_0,nil)))|~ssList(cons(esk59_0,nil))|~ssList(cons(esk58_0,nil))),inference(cn,[status(thm)],[3923,theory(equality)])).
% cnf(3927,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0|ssItem(esk52_0)|$false|~ssItem(esk59_0)|~ssItem(esk58_0)),inference(rw,[status(thm)],[3894,1965,theory(equality)])).
% cnf(3928,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0|ssItem(esk52_0)|$false|$false|~ssItem(esk58_0)),inference(rw,[status(thm)],[3927,1987,theory(equality)])).
% cnf(3929,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0|ssItem(esk52_0)|$false|$false|$false),inference(rw,[status(thm)],[3928,1982,theory(equality)])).
% cnf(3930,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0|ssItem(esk52_0)),inference(cn,[status(thm)],[3929,theory(equality)])).
% cnf(3931,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0|ssItem(esk53_0)|$false|~ssItem(esk59_0)|~ssItem(esk58_0)),inference(rw,[status(thm)],[3895,1965,theory(equality)])).
% cnf(3932,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0|ssItem(esk53_0)|$false|$false|~ssItem(esk58_0)),inference(rw,[status(thm)],[3931,1987,theory(equality)])).
% cnf(3933,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0|ssItem(esk53_0)|$false|$false|$false),inference(rw,[status(thm)],[3932,1982,theory(equality)])).
% cnf(3934,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0|ssItem(esk53_0)),inference(cn,[status(thm)],[3933,theory(equality)])).
% cnf(3935,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0|ssList(esk54_0)|$false|~ssItem(esk59_0)|~ssItem(esk58_0)),inference(rw,[status(thm)],[3896,1965,theory(equality)])).
% cnf(3936,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0|ssList(esk54_0)|$false|$false|~ssItem(esk58_0)),inference(rw,[status(thm)],[3935,1987,theory(equality)])).
% cnf(3937,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0|ssList(esk54_0)|$false|$false|$false),inference(rw,[status(thm)],[3936,1982,theory(equality)])).
% cnf(3938,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0|ssList(esk54_0)),inference(cn,[status(thm)],[3937,theory(equality)])).
% cnf(3939,negated_conjecture,(app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0|$false|~ssItem(esk59_0)|~ssItem(esk58_0)),inference(rw,[status(thm)],[3897,1965,theory(equality)])).
% cnf(3940,negated_conjecture,(app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0|$false|$false|~ssItem(esk58_0)),inference(rw,[status(thm)],[3939,1987,theory(equality)])).
% cnf(3941,negated_conjecture,(app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0|$false|$false|$false),inference(rw,[status(thm)],[3940,1982,theory(equality)])).
% cnf(3942,negated_conjecture,(app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil))=esk48_0),inference(cn,[status(thm)],[3941,theory(equality)])).
% cnf(3943,negated_conjecture,(app(cons(esk58_0,app(nil,esk60_0)),cons(esk59_0,nil))=esk49_0|$false|~ssList(esk60_0)|~ssItem(esk58_0)),inference(rw,[status(thm)],[3898,113,theory(equality)])).
% cnf(3944,negated_conjecture,(app(cons(esk58_0,app(nil,esk60_0)),cons(esk59_0,nil))=esk49_0|$false|$false|~ssItem(esk58_0)),inference(rw,[status(thm)],[3943,1965,theory(equality)])).
% cnf(3945,negated_conjecture,(app(cons(esk58_0,app(nil,esk60_0)),cons(esk59_0,nil))=esk49_0|$false|$false|$false),inference(rw,[status(thm)],[3944,1982,theory(equality)])).
% cnf(3946,negated_conjecture,(app(cons(esk58_0,app(nil,esk60_0)),cons(esk59_0,nil))=esk49_0),inference(cn,[status(thm)],[3945,theory(equality)])).
% cnf(3947,negated_conjecture,(app(cons(esk58_0,esk60_0),cons(esk59_0,nil))=esk49_0|$false|~ssItem(esk58_0)),inference(rw,[status(thm)],[3899,1965,theory(equality)])).
% cnf(3948,negated_conjecture,(app(cons(esk58_0,esk60_0),cons(esk59_0,nil))=esk49_0|$false|$false),inference(rw,[status(thm)],[3947,1982,theory(equality)])).
% cnf(3949,negated_conjecture,(app(cons(esk58_0,esk60_0),cons(esk59_0,nil))=esk49_0),inference(cn,[status(thm)],[3948,theory(equality)])).
% cnf(3970,negated_conjecture,(esk49_0=cons(esk58_0,app(esk60_0,cons(esk59_0,nil)))|~ssList(esk60_0)|~ssList(cons(esk59_0,nil))|~ssItem(esk58_0)),inference(spm,[status(thm)],[142,3949,theory(equality)])).
% cnf(3990,negated_conjecture,(esk49_0=cons(esk58_0,app(esk60_0,cons(esk59_0,nil)))|$false|~ssList(cons(esk59_0,nil))|~ssItem(esk58_0)),inference(rw,[status(thm)],[3970,1965,theory(equality)])).
% cnf(3991,negated_conjecture,(esk49_0=cons(esk58_0,app(esk60_0,cons(esk59_0,nil)))|$false|~ssList(cons(esk59_0,nil))|$false),inference(rw,[status(thm)],[3990,1982,theory(equality)])).
% cnf(3992,negated_conjecture,(esk49_0=cons(esk58_0,app(esk60_0,cons(esk59_0,nil)))|~ssList(cons(esk59_0,nil))),inference(cn,[status(thm)],[3991,theory(equality)])).
% cnf(3993,negated_conjecture,(ssItem(esk52_0)),inference(csr,[status(thm)],[3930,582])).
% cnf(4023,negated_conjecture,(ssItem(esk53_0)),inference(csr,[status(thm)],[3934,581])).
% cnf(4053,negated_conjecture,(ssList(esk54_0)),inference(csr,[status(thm)],[3938,580])).
% cnf(4129,negated_conjecture,(cons(esk58_0,app(esk60_0,cons(esk59_0,nil)))=esk49_0|~ssList(nil)|~ssItem(esk59_0)),inference(spm,[status(thm)],[3992,112,theory(equality)])).
% cnf(4130,negated_conjecture,(cons(esk58_0,app(esk60_0,cons(esk59_0,nil)))=esk49_0|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[4129,113,theory(equality)])).
% cnf(4131,negated_conjecture,(cons(esk58_0,app(esk60_0,cons(esk59_0,nil)))=esk49_0|$false|$false),inference(rw,[status(thm)],[4130,1987,theory(equality)])).
% cnf(4132,negated_conjecture,(cons(esk58_0,app(esk60_0,cons(esk59_0,nil)))=esk49_0),inference(cn,[status(thm)],[4131,theory(equality)])).
% cnf(4228,negated_conjecture,(app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0),inference(csr,[status(thm)],[3942,579])).
% cnf(4247,negated_conjecture,(app(cons(esk52_0,cons(esk53_0,nil)),esk54_0)=esk49_0|~ssList(cons(esk53_0,nil))|~ssItem(esk52_0)),inference(spm,[status(thm)],[4228,157,theory(equality)])).
% cnf(4293,negated_conjecture,(app(cons(esk52_0,cons(esk53_0,nil)),esk54_0)=esk49_0|~ssList(cons(esk53_0,nil))|$false),inference(rw,[status(thm)],[4247,3993,theory(equality)])).
% cnf(4294,negated_conjecture,(app(cons(esk52_0,cons(esk53_0,nil)),esk54_0)=esk49_0|~ssList(cons(esk53_0,nil))),inference(cn,[status(thm)],[4293,theory(equality)])).
% cnf(4352,negated_conjecture,(app(cons(esk52_0,cons(esk53_0,nil)),esk54_0)=esk49_0|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[4294,112,theory(equality)])).
% cnf(4353,negated_conjecture,(app(cons(esk52_0,cons(esk53_0,nil)),esk54_0)=esk49_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[4352,113,theory(equality)])).
% cnf(4354,negated_conjecture,(app(cons(esk52_0,cons(esk53_0,nil)),esk54_0)=esk49_0|$false|$false),inference(rw,[status(thm)],[4353,4023,theory(equality)])).
% cnf(4355,negated_conjecture,(app(cons(esk52_0,cons(esk53_0,nil)),esk54_0)=esk49_0),inference(cn,[status(thm)],[4354,theory(equality)])).
% cnf(4370,negated_conjecture,(esk49_0=cons(esk52_0,app(cons(esk53_0,nil),esk54_0))|~ssList(cons(esk53_0,nil))|~ssList(esk54_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[142,4355,theory(equality)])).
% cnf(4401,negated_conjecture,(esk49_0=cons(esk52_0,app(cons(esk53_0,nil),esk54_0))|~ssList(cons(esk53_0,nil))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[4370,4053,theory(equality)])).
% cnf(4402,negated_conjecture,(esk49_0=cons(esk52_0,app(cons(esk53_0,nil),esk54_0))|~ssList(cons(esk53_0,nil))|$false|$false),inference(rw,[status(thm)],[4401,3993,theory(equality)])).
% cnf(4403,negated_conjecture,(esk49_0=cons(esk52_0,app(cons(esk53_0,nil),esk54_0))|~ssList(cons(esk53_0,nil))),inference(cn,[status(thm)],[4402,theory(equality)])).
% cnf(4456,negated_conjecture,(cons(esk52_0,app(cons(esk53_0,nil),esk54_0))=esk49_0|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[4403,112,theory(equality)])).
% cnf(4457,negated_conjecture,(cons(esk52_0,app(cons(esk53_0,nil),esk54_0))=esk49_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[4456,113,theory(equality)])).
% cnf(4458,negated_conjecture,(cons(esk52_0,app(cons(esk53_0,nil),esk54_0))=esk49_0|$false|$false),inference(rw,[status(thm)],[4457,4023,theory(equality)])).
% cnf(4459,negated_conjecture,(cons(esk52_0,app(cons(esk53_0,nil),esk54_0))=esk49_0),inference(cn,[status(thm)],[4458,theory(equality)])).
% cnf(4492,negated_conjecture,(cons(esk52_0,cons(esk53_0,esk54_0))=esk49_0|~ssList(esk54_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[4459,157,theory(equality)])).
% cnf(4561,negated_conjecture,(cons(esk52_0,cons(esk53_0,esk54_0))=esk49_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[4492,4053,theory(equality)])).
% cnf(4562,negated_conjecture,(cons(esk52_0,cons(esk53_0,esk54_0))=esk49_0|$false|$false),inference(rw,[status(thm)],[4561,4023,theory(equality)])).
% cnf(4563,negated_conjecture,(cons(esk52_0,cons(esk53_0,esk54_0))=esk49_0),inference(cn,[status(thm)],[4562,theory(equality)])).
% cnf(4571,negated_conjecture,(hd(esk49_0)=esk52_0|~ssList(cons(esk53_0,esk54_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[225,4563,theory(equality)])).
% cnf(4572,negated_conjecture,(tl(esk49_0)=cons(esk53_0,esk54_0)|~ssList(cons(esk53_0,esk54_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[229,4563,theory(equality)])).
% cnf(4611,negated_conjecture,(hd(esk49_0)=esk52_0|~ssList(cons(esk53_0,esk54_0))|$false),inference(rw,[status(thm)],[4571,3993,theory(equality)])).
% cnf(4612,negated_conjecture,(hd(esk49_0)=esk52_0|~ssList(cons(esk53_0,esk54_0))),inference(cn,[status(thm)],[4611,theory(equality)])).
% cnf(4613,negated_conjecture,(tl(esk49_0)=cons(esk53_0,esk54_0)|~ssList(cons(esk53_0,esk54_0))|$false),inference(rw,[status(thm)],[4572,3993,theory(equality)])).
% cnf(4614,negated_conjecture,(tl(esk49_0)=cons(esk53_0,esk54_0)|~ssList(cons(esk53_0,esk54_0))),inference(cn,[status(thm)],[4613,theory(equality)])).
% cnf(6164,negated_conjecture,(hd(esk49_0)=esk52_0|~ssList(esk54_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[4612,112,theory(equality)])).
% cnf(6165,negated_conjecture,(hd(esk49_0)=esk52_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[6164,4053,theory(equality)])).
% cnf(6166,negated_conjecture,(hd(esk49_0)=esk52_0|$false|$false),inference(rw,[status(thm)],[6165,4023,theory(equality)])).
% cnf(6167,negated_conjecture,(hd(esk49_0)=esk52_0),inference(cn,[status(thm)],[6166,theory(equality)])).
% cnf(7118,negated_conjecture,(app(cons(esk58_0,nil),app(esk60_0,cons(esk59_0,nil)))=esk49_0|~ssList(cons(esk58_0,nil))|~ssList(nil)|~ssItem(esk59_0)),inference(spm,[status(thm)],[3924,112,theory(equality)])).
% cnf(7119,negated_conjecture,(app(cons(esk58_0,nil),app(esk60_0,cons(esk59_0,nil)))=esk49_0|~ssList(cons(esk58_0,nil))|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[7118,113,theory(equality)])).
% cnf(7120,negated_conjecture,(app(cons(esk58_0,nil),app(esk60_0,cons(esk59_0,nil)))=esk49_0|~ssList(cons(esk58_0,nil))|$false|$false),inference(rw,[status(thm)],[7119,1987,theory(equality)])).
% cnf(7121,negated_conjecture,(app(cons(esk58_0,nil),app(esk60_0,cons(esk59_0,nil)))=esk49_0|~ssList(cons(esk58_0,nil))),inference(cn,[status(thm)],[7120,theory(equality)])).
% cnf(7125,negated_conjecture,(app(cons(esk58_0,nil),app(esk60_0,cons(esk59_0,nil)))=esk49_0|~ssList(nil)|~ssItem(esk58_0)),inference(spm,[status(thm)],[7121,112,theory(equality)])).
% cnf(7126,negated_conjecture,(app(cons(esk58_0,nil),app(esk60_0,cons(esk59_0,nil)))=esk49_0|$false|~ssItem(esk58_0)),inference(rw,[status(thm)],[7125,113,theory(equality)])).
% cnf(7127,negated_conjecture,(app(cons(esk58_0,nil),app(esk60_0,cons(esk59_0,nil)))=esk49_0|$false|$false),inference(rw,[status(thm)],[7126,1982,theory(equality)])).
% cnf(7128,negated_conjecture,(app(cons(esk58_0,nil),app(esk60_0,cons(esk59_0,nil)))=esk49_0),inference(cn,[status(thm)],[7127,theory(equality)])).
% cnf(7143,negated_conjecture,(esk49_0=cons(esk58_0,app(nil,app(esk60_0,cons(esk59_0,nil))))|~ssList(nil)|~ssList(app(esk60_0,cons(esk59_0,nil)))|~ssItem(esk58_0)),inference(spm,[status(thm)],[142,7128,theory(equality)])).
% cnf(7148,negated_conjecture,(esk49_0=cons(esk58_0,app(nil,app(esk60_0,cons(esk59_0,nil))))|$false|~ssList(app(esk60_0,cons(esk59_0,nil)))|~ssItem(esk58_0)),inference(rw,[status(thm)],[7143,113,theory(equality)])).
% cnf(7149,negated_conjecture,(esk49_0=cons(esk58_0,app(nil,app(esk60_0,cons(esk59_0,nil))))|$false|~ssList(app(esk60_0,cons(esk59_0,nil)))|$false),inference(rw,[status(thm)],[7148,1982,theory(equality)])).
% cnf(7150,negated_conjecture,(esk49_0=cons(esk58_0,app(nil,app(esk60_0,cons(esk59_0,nil))))|~ssList(app(esk60_0,cons(esk59_0,nil)))),inference(cn,[status(thm)],[7149,theory(equality)])).
% cnf(7158,negated_conjecture,(cons(esk58_0,app(nil,app(esk60_0,cons(esk59_0,nil))))=esk49_0|~ssList(cons(esk59_0,nil))|~ssList(esk60_0)),inference(spm,[status(thm)],[7150,138,theory(equality)])).
% cnf(7159,negated_conjecture,(cons(esk58_0,app(nil,app(esk60_0,cons(esk59_0,nil))))=esk49_0|~ssList(cons(esk59_0,nil))|$false),inference(rw,[status(thm)],[7158,1965,theory(equality)])).
% cnf(7160,negated_conjecture,(cons(esk58_0,app(nil,app(esk60_0,cons(esk59_0,nil))))=esk49_0|~ssList(cons(esk59_0,nil))),inference(cn,[status(thm)],[7159,theory(equality)])).
% cnf(7161,negated_conjecture,(cons(esk58_0,app(nil,app(esk60_0,cons(esk59_0,nil))))=esk49_0|~ssList(nil)|~ssItem(esk59_0)),inference(spm,[status(thm)],[7160,112,theory(equality)])).
% cnf(7162,negated_conjecture,(cons(esk58_0,app(nil,app(esk60_0,cons(esk59_0,nil))))=esk49_0|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[7161,113,theory(equality)])).
% cnf(7163,negated_conjecture,(cons(esk58_0,app(nil,app(esk60_0,cons(esk59_0,nil))))=esk49_0|$false|$false),inference(rw,[status(thm)],[7162,1987,theory(equality)])).
% cnf(7164,negated_conjecture,(cons(esk58_0,app(nil,app(esk60_0,cons(esk59_0,nil))))=esk49_0),inference(cn,[status(thm)],[7163,theory(equality)])).
% cnf(7172,negated_conjecture,(hd(esk49_0)=esk58_0|~ssList(app(nil,app(esk60_0,cons(esk59_0,nil))))|~ssItem(esk58_0)),inference(spm,[status(thm)],[225,7164,theory(equality)])).
% cnf(7214,negated_conjecture,(esk52_0=esk58_0|~ssList(app(nil,app(esk60_0,cons(esk59_0,nil))))|~ssItem(esk58_0)),inference(rw,[status(thm)],[7172,6167,theory(equality)])).
% cnf(7215,negated_conjecture,(esk52_0=esk58_0|~ssList(app(nil,app(esk60_0,cons(esk59_0,nil))))|$false),inference(rw,[status(thm)],[7214,1982,theory(equality)])).
% cnf(7216,negated_conjecture,(esk52_0=esk58_0|~ssList(app(nil,app(esk60_0,cons(esk59_0,nil))))),inference(cn,[status(thm)],[7215,theory(equality)])).
% cnf(7264,negated_conjecture,(esk58_0=esk52_0|~ssList(app(esk60_0,cons(esk59_0,nil)))),inference(spm,[status(thm)],[7216,145,theory(equality)])).
% cnf(7268,negated_conjecture,(esk58_0=esk52_0|~ssList(cons(esk59_0,nil))|~ssList(esk60_0)),inference(spm,[status(thm)],[7264,138,theory(equality)])).
% cnf(7269,negated_conjecture,(esk58_0=esk52_0|~ssList(cons(esk59_0,nil))|$false),inference(rw,[status(thm)],[7268,1965,theory(equality)])).
% cnf(7270,negated_conjecture,(esk58_0=esk52_0|~ssList(cons(esk59_0,nil))),inference(cn,[status(thm)],[7269,theory(equality)])).
% cnf(7272,negated_conjecture,(esk58_0=esk52_0|~ssList(nil)|~ssItem(esk59_0)),inference(spm,[status(thm)],[7270,112,theory(equality)])).
% cnf(7273,negated_conjecture,(esk58_0=esk52_0|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[7272,113,theory(equality)])).
% cnf(7274,negated_conjecture,(esk58_0=esk52_0|$false|$false),inference(rw,[status(thm)],[7273,1987,theory(equality)])).
% cnf(7275,negated_conjecture,(esk58_0=esk52_0),inference(cn,[status(thm)],[7274,theory(equality)])).
% cnf(7279,negated_conjecture,(app(cons(esk52_0,esk60_0),cons(esk59_0,nil))=esk49_0),inference(rw,[status(thm)],[3949,7275,theory(equality)])).
% cnf(7280,negated_conjecture,(app(cons(esk52_0,app(nil,esk60_0)),cons(esk59_0,nil))=esk49_0),inference(rw,[status(thm)],[3946,7275,theory(equality)])).
% cnf(7288,negated_conjecture,(app(app(cons(esk52_0,nil),esk60_0),cons(esk59_0,nil))=esk49_0),inference(rw,[status(thm)],[3871,7275,theory(equality)])).
% cnf(7292,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk52_0,nil))!=esk48_0|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk49_0|~ssList(X3)|~ssItem(X2)|~ssItem(X1)),inference(rw,[status(thm)],[844,7275,theory(equality)])).
% cnf(7293,negated_conjecture,(cons(esk52_0,app(esk60_0,cons(esk59_0,nil)))=esk49_0),inference(rw,[status(thm)],[4132,7275,theory(equality)])).
% cnf(7348,negated_conjecture,(tl(esk49_0)=app(esk60_0,cons(esk59_0,nil))|~ssList(app(esk60_0,cons(esk59_0,nil)))|~ssItem(esk52_0)),inference(spm,[status(thm)],[229,7293,theory(equality)])).
% cnf(7389,negated_conjecture,(tl(esk49_0)=app(esk60_0,cons(esk59_0,nil))|~ssList(app(esk60_0,cons(esk59_0,nil)))|$false),inference(rw,[status(thm)],[7348,3993,theory(equality)])).
% cnf(7390,negated_conjecture,(tl(esk49_0)=app(esk60_0,cons(esk59_0,nil))|~ssList(app(esk60_0,cons(esk59_0,nil)))),inference(cn,[status(thm)],[7389,theory(equality)])).
% cnf(7457,negated_conjecture,(esk49_0=cons(esk52_0,app(app(nil,esk60_0),cons(esk59_0,nil)))|~ssList(app(nil,esk60_0))|~ssList(cons(esk59_0,nil))|~ssItem(esk52_0)),inference(spm,[status(thm)],[142,7280,theory(equality)])).
% cnf(7479,negated_conjecture,(esk49_0=cons(esk52_0,app(app(nil,esk60_0),cons(esk59_0,nil)))|~ssList(app(nil,esk60_0))|~ssList(cons(esk59_0,nil))|$false),inference(rw,[status(thm)],[7457,3993,theory(equality)])).
% cnf(7480,negated_conjecture,(esk49_0=cons(esk52_0,app(app(nil,esk60_0),cons(esk59_0,nil)))|~ssList(app(nil,esk60_0))|~ssList(cons(esk59_0,nil))),inference(cn,[status(thm)],[7479,theory(equality)])).
% cnf(8043,negated_conjecture,(cons(esk52_0,app(app(nil,esk60_0),cons(esk59_0,nil)))=esk49_0|~ssList(cons(esk59_0,nil))|~ssList(esk60_0)|~ssList(nil)),inference(spm,[status(thm)],[7480,138,theory(equality)])).
% cnf(8047,negated_conjecture,(cons(esk52_0,app(app(nil,esk60_0),cons(esk59_0,nil)))=esk49_0|~ssList(cons(esk59_0,nil))|$false|~ssList(nil)),inference(rw,[status(thm)],[8043,1965,theory(equality)])).
% cnf(8048,negated_conjecture,(cons(esk52_0,app(app(nil,esk60_0),cons(esk59_0,nil)))=esk49_0|~ssList(cons(esk59_0,nil))|$false|$false),inference(rw,[status(thm)],[8047,113,theory(equality)])).
% cnf(8049,negated_conjecture,(cons(esk52_0,app(app(nil,esk60_0),cons(esk59_0,nil)))=esk49_0|~ssList(cons(esk59_0,nil))),inference(cn,[status(thm)],[8048,theory(equality)])).
% cnf(8050,negated_conjecture,(cons(esk52_0,app(app(nil,esk60_0),cons(esk59_0,nil)))=esk49_0|~ssList(nil)|~ssItem(esk59_0)),inference(spm,[status(thm)],[8049,112,theory(equality)])).
% cnf(8051,negated_conjecture,(cons(esk52_0,app(app(nil,esk60_0),cons(esk59_0,nil)))=esk49_0|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[8050,113,theory(equality)])).
% cnf(8052,negated_conjecture,(cons(esk52_0,app(app(nil,esk60_0),cons(esk59_0,nil)))=esk49_0|$false|$false),inference(rw,[status(thm)],[8051,1987,theory(equality)])).
% cnf(8053,negated_conjecture,(cons(esk52_0,app(app(nil,esk60_0),cons(esk59_0,nil)))=esk49_0),inference(cn,[status(thm)],[8052,theory(equality)])).
% cnf(8062,negated_conjecture,(tl(esk49_0)=app(app(nil,esk60_0),cons(esk59_0,nil))|~ssList(app(app(nil,esk60_0),cons(esk59_0,nil)))|~ssItem(esk52_0)),inference(spm,[status(thm)],[229,8053,theory(equality)])).
% cnf(8106,negated_conjecture,(tl(esk49_0)=app(app(nil,esk60_0),cons(esk59_0,nil))|~ssList(app(app(nil,esk60_0),cons(esk59_0,nil)))|$false),inference(rw,[status(thm)],[8062,3993,theory(equality)])).
% cnf(8107,negated_conjecture,(tl(esk49_0)=app(app(nil,esk60_0),cons(esk59_0,nil))|~ssList(app(app(nil,esk60_0),cons(esk59_0,nil)))),inference(cn,[status(thm)],[8106,theory(equality)])).
% cnf(8262,negated_conjecture,(tl(esk49_0)=cons(esk53_0,esk54_0)|~ssList(esk54_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[4614,112,theory(equality)])).
% cnf(8263,negated_conjecture,(tl(esk49_0)=cons(esk53_0,esk54_0)|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[8262,4053,theory(equality)])).
% cnf(8264,negated_conjecture,(tl(esk49_0)=cons(esk53_0,esk54_0)|$false|$false),inference(rw,[status(thm)],[8263,4023,theory(equality)])).
% cnf(8265,negated_conjecture,(tl(esk49_0)=cons(esk53_0,esk54_0)),inference(cn,[status(thm)],[8264,theory(equality)])).
% cnf(10155,negated_conjecture,(cons(esk53_0,esk54_0)=app(esk60_0,cons(esk59_0,nil))|~ssList(app(esk60_0,cons(esk59_0,nil)))),inference(rw,[status(thm)],[7390,8265,theory(equality)])).
% cnf(10156,negated_conjecture,(app(esk60_0,cons(esk59_0,nil))=cons(esk53_0,esk54_0)|~ssList(cons(esk59_0,nil))|~ssList(esk60_0)),inference(spm,[status(thm)],[10155,138,theory(equality)])).
% cnf(10157,negated_conjecture,(app(esk60_0,cons(esk59_0,nil))=cons(esk53_0,esk54_0)|~ssList(cons(esk59_0,nil))|$false),inference(rw,[status(thm)],[10156,1965,theory(equality)])).
% cnf(10158,negated_conjecture,(app(esk60_0,cons(esk59_0,nil))=cons(esk53_0,esk54_0)|~ssList(cons(esk59_0,nil))),inference(cn,[status(thm)],[10157,theory(equality)])).
% cnf(10159,negated_conjecture,(app(esk60_0,cons(esk59_0,nil))=cons(esk53_0,esk54_0)|~ssList(nil)|~ssItem(esk59_0)),inference(spm,[status(thm)],[10158,112,theory(equality)])).
% cnf(10160,negated_conjecture,(app(esk60_0,cons(esk59_0,nil))=cons(esk53_0,esk54_0)|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[10159,113,theory(equality)])).
% cnf(10161,negated_conjecture,(app(esk60_0,cons(esk59_0,nil))=cons(esk53_0,esk54_0)|$false|$false),inference(rw,[status(thm)],[10160,1987,theory(equality)])).
% cnf(10162,negated_conjecture,(app(esk60_0,cons(esk59_0,nil))=cons(esk53_0,esk54_0)),inference(cn,[status(thm)],[10161,theory(equality)])).
% cnf(10169,negated_conjecture,(X1=esk60_0|app(X1,cons(esk59_0,nil))!=cons(esk53_0,esk54_0)|~ssList(esk60_0)|~ssList(cons(esk59_0,nil))|~ssList(X1)),inference(spm,[status(thm)],[149,10162,theory(equality)])).
% cnf(10171,negated_conjecture,(X1=cons(esk59_0,nil)|app(esk60_0,X1)!=cons(esk53_0,esk54_0)|~ssList(cons(esk59_0,nil))|~ssList(esk60_0)|~ssList(X1)),inference(spm,[status(thm)],[153,10162,theory(equality)])).
% cnf(10215,negated_conjecture,(X1=esk60_0|app(X1,cons(esk59_0,nil))!=cons(esk53_0,esk54_0)|$false|~ssList(cons(esk59_0,nil))|~ssList(X1)),inference(rw,[status(thm)],[10169,1965,theory(equality)])).
% cnf(10216,negated_conjecture,(X1=esk60_0|app(X1,cons(esk59_0,nil))!=cons(esk53_0,esk54_0)|~ssList(cons(esk59_0,nil))|~ssList(X1)),inference(cn,[status(thm)],[10215,theory(equality)])).
% cnf(10219,negated_conjecture,(X1=cons(esk59_0,nil)|app(esk60_0,X1)!=cons(esk53_0,esk54_0)|~ssList(cons(esk59_0,nil))|$false|~ssList(X1)),inference(rw,[status(thm)],[10171,1965,theory(equality)])).
% cnf(10220,negated_conjecture,(X1=cons(esk59_0,nil)|app(esk60_0,X1)!=cons(esk53_0,esk54_0)|~ssList(cons(esk59_0,nil))|~ssList(X1)),inference(cn,[status(thm)],[10219,theory(equality)])).
% cnf(10641,negated_conjecture,(cons(esk53_0,esk54_0)=app(app(nil,esk60_0),cons(esk59_0,nil))|~ssList(app(app(nil,esk60_0),cons(esk59_0,nil)))),inference(rw,[status(thm)],[8107,8265,theory(equality)])).
% cnf(10644,negated_conjecture,(app(app(nil,esk60_0),cons(esk59_0,nil))=cons(esk53_0,esk54_0)|~ssList(cons(esk59_0,nil))|~ssList(app(nil,esk60_0))),inference(spm,[status(thm)],[10641,138,theory(equality)])).
% cnf(10654,negated_conjecture,(app(app(nil,esk60_0),cons(esk59_0,nil))=cons(esk53_0,esk54_0)|~ssList(app(nil,esk60_0))|~ssList(nil)|~ssItem(esk59_0)),inference(spm,[status(thm)],[10644,112,theory(equality)])).
% cnf(10655,negated_conjecture,(app(app(nil,esk60_0),cons(esk59_0,nil))=cons(esk53_0,esk54_0)|~ssList(app(nil,esk60_0))|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[10654,113,theory(equality)])).
% cnf(10656,negated_conjecture,(app(app(nil,esk60_0),cons(esk59_0,nil))=cons(esk53_0,esk54_0)|~ssList(app(nil,esk60_0))|$false|$false),inference(rw,[status(thm)],[10655,1987,theory(equality)])).
% cnf(10657,negated_conjecture,(app(app(nil,esk60_0),cons(esk59_0,nil))=cons(esk53_0,esk54_0)|~ssList(app(nil,esk60_0))),inference(cn,[status(thm)],[10656,theory(equality)])).
% cnf(10659,negated_conjecture,(app(app(nil,esk60_0),cons(esk59_0,nil))=cons(esk53_0,esk54_0)|~ssList(esk60_0)|~ssList(nil)),inference(spm,[status(thm)],[10657,138,theory(equality)])).
% cnf(10663,negated_conjecture,(app(app(nil,esk60_0),cons(esk59_0,nil))=cons(esk53_0,esk54_0)|$false|~ssList(nil)),inference(rw,[status(thm)],[10659,1965,theory(equality)])).
% cnf(10664,negated_conjecture,(app(app(nil,esk60_0),cons(esk59_0,nil))=cons(esk53_0,esk54_0)|$false|$false),inference(rw,[status(thm)],[10663,113,theory(equality)])).
% cnf(10665,negated_conjecture,(app(app(nil,esk60_0),cons(esk59_0,nil))=cons(esk53_0,esk54_0)),inference(cn,[status(thm)],[10664,theory(equality)])).
% cnf(11982,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[1037,138])).
% cnf(12010,negated_conjecture,(frontsegP(esk49_0,cons(esk52_0,esk60_0))|~ssList(cons(esk59_0,nil))|~ssList(cons(esk52_0,esk60_0))),inference(spm,[status(thm)],[11982,7279,theory(equality)])).
% cnf(12445,negated_conjecture,(frontsegP(esk49_0,cons(esk52_0,esk60_0))|~ssList(cons(esk52_0,esk60_0))|~ssList(nil)|~ssItem(esk59_0)),inference(spm,[status(thm)],[12010,112,theory(equality)])).
% cnf(12446,negated_conjecture,(frontsegP(esk49_0,cons(esk52_0,esk60_0))|~ssList(cons(esk52_0,esk60_0))|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[12445,113,theory(equality)])).
% cnf(12447,negated_conjecture,(frontsegP(esk49_0,cons(esk52_0,esk60_0))|~ssList(cons(esk52_0,esk60_0))|$false|$false),inference(rw,[status(thm)],[12446,1987,theory(equality)])).
% cnf(12448,negated_conjecture,(frontsegP(esk49_0,cons(esk52_0,esk60_0))|~ssList(cons(esk52_0,esk60_0))),inference(cn,[status(thm)],[12447,theory(equality)])).
% cnf(12449,negated_conjecture,(frontsegP(esk49_0,cons(esk52_0,esk60_0))|~ssList(esk60_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[12448,112,theory(equality)])).
% cnf(12451,negated_conjecture,(frontsegP(esk49_0,cons(esk52_0,esk60_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[12449,1965,theory(equality)])).
% cnf(12452,negated_conjecture,(frontsegP(esk49_0,cons(esk52_0,esk60_0))|$false|$false),inference(rw,[status(thm)],[12451,3993,theory(equality)])).
% cnf(12453,negated_conjecture,(frontsegP(esk49_0,cons(esk52_0,esk60_0))),inference(cn,[status(thm)],[12452,theory(equality)])).
% cnf(12454,negated_conjecture,(ssList(esk18_2(esk49_0,cons(esk52_0,esk60_0)))|~ssList(cons(esk52_0,esk60_0))|~ssList(esk49_0)),inference(spm,[status(thm)],[280,12453,theory(equality)])).
% cnf(12456,negated_conjecture,(app(cons(esk52_0,esk60_0),esk18_2(esk49_0,cons(esk52_0,esk60_0)))=esk49_0|~ssList(cons(esk52_0,esk60_0))|~ssList(esk49_0)),inference(spm,[status(thm)],[279,12453,theory(equality)])).
% cnf(12460,negated_conjecture,(ssList(esk18_2(esk49_0,cons(esk52_0,esk60_0)))|~ssList(cons(esk52_0,esk60_0))|$false),inference(rw,[status(thm)],[12454,574,theory(equality)])).
% cnf(12461,negated_conjecture,(ssList(esk18_2(esk49_0,cons(esk52_0,esk60_0)))|~ssList(cons(esk52_0,esk60_0))),inference(cn,[status(thm)],[12460,theory(equality)])).
% cnf(12464,negated_conjecture,(app(cons(esk52_0,esk60_0),esk18_2(esk49_0,cons(esk52_0,esk60_0)))=esk49_0|~ssList(cons(esk52_0,esk60_0))|$false),inference(rw,[status(thm)],[12456,574,theory(equality)])).
% cnf(12465,negated_conjecture,(app(cons(esk52_0,esk60_0),esk18_2(esk49_0,cons(esk52_0,esk60_0)))=esk49_0|~ssList(cons(esk52_0,esk60_0))),inference(cn,[status(thm)],[12464,theory(equality)])).
% cnf(12475,negated_conjecture,(ssList(esk18_2(esk49_0,cons(esk52_0,esk60_0)))|~ssList(esk60_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[12461,112,theory(equality)])).
% cnf(12477,negated_conjecture,(ssList(esk18_2(esk49_0,cons(esk52_0,esk60_0)))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[12475,1965,theory(equality)])).
% cnf(12478,negated_conjecture,(ssList(esk18_2(esk49_0,cons(esk52_0,esk60_0)))|$false|$false),inference(rw,[status(thm)],[12477,3993,theory(equality)])).
% cnf(12479,negated_conjecture,(ssList(esk18_2(esk49_0,cons(esk52_0,esk60_0)))),inference(cn,[status(thm)],[12478,theory(equality)])).
% cnf(13552,negated_conjecture,(app(cons(esk52_0,esk60_0),esk18_2(esk49_0,cons(esk52_0,esk60_0)))=esk49_0|~ssList(esk60_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[12465,112,theory(equality)])).
% cnf(13554,negated_conjecture,(app(cons(esk52_0,esk60_0),esk18_2(esk49_0,cons(esk52_0,esk60_0)))=esk49_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[13552,1965,theory(equality)])).
% cnf(13555,negated_conjecture,(app(cons(esk52_0,esk60_0),esk18_2(esk49_0,cons(esk52_0,esk60_0)))=esk49_0|$false|$false),inference(rw,[status(thm)],[13554,3993,theory(equality)])).
% cnf(13556,negated_conjecture,(app(cons(esk52_0,esk60_0),esk18_2(esk49_0,cons(esk52_0,esk60_0)))=esk49_0),inference(cn,[status(thm)],[13555,theory(equality)])).
% cnf(13576,negated_conjecture,(esk49_0=cons(esk52_0,app(esk60_0,esk18_2(esk49_0,cons(esk52_0,esk60_0))))|~ssList(esk60_0)|~ssList(esk18_2(esk49_0,cons(esk52_0,esk60_0)))|~ssItem(esk52_0)),inference(spm,[status(thm)],[142,13556,theory(equality)])).
% cnf(13620,negated_conjecture,(esk49_0=cons(esk52_0,app(esk60_0,esk18_2(esk49_0,cons(esk52_0,esk60_0))))|$false|~ssList(esk18_2(esk49_0,cons(esk52_0,esk60_0)))|~ssItem(esk52_0)),inference(rw,[status(thm)],[13576,1965,theory(equality)])).
% cnf(13621,negated_conjecture,(esk49_0=cons(esk52_0,app(esk60_0,esk18_2(esk49_0,cons(esk52_0,esk60_0))))|$false|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[13620,12479,theory(equality)])).
% cnf(13622,negated_conjecture,(esk49_0=cons(esk52_0,app(esk60_0,esk18_2(esk49_0,cons(esk52_0,esk60_0))))|$false|$false|$false),inference(rw,[status(thm)],[13621,3993,theory(equality)])).
% cnf(13623,negated_conjecture,(esk49_0=cons(esk52_0,app(esk60_0,esk18_2(esk49_0,cons(esk52_0,esk60_0))))),inference(cn,[status(thm)],[13622,theory(equality)])).
% cnf(13638,negated_conjecture,(tl(esk49_0)=app(esk60_0,esk18_2(esk49_0,cons(esk52_0,esk60_0)))|~ssList(app(esk60_0,esk18_2(esk49_0,cons(esk52_0,esk60_0))))|~ssItem(esk52_0)),inference(spm,[status(thm)],[229,13623,theory(equality)])).
% cnf(13684,negated_conjecture,(cons(esk53_0,esk54_0)=app(esk60_0,esk18_2(esk49_0,cons(esk52_0,esk60_0)))|~ssList(app(esk60_0,esk18_2(esk49_0,cons(esk52_0,esk60_0))))|~ssItem(esk52_0)),inference(rw,[status(thm)],[13638,8265,theory(equality)])).
% cnf(13685,negated_conjecture,(cons(esk53_0,esk54_0)=app(esk60_0,esk18_2(esk49_0,cons(esk52_0,esk60_0)))|~ssList(app(esk60_0,esk18_2(esk49_0,cons(esk52_0,esk60_0))))|$false),inference(rw,[status(thm)],[13684,3993,theory(equality)])).
% cnf(13686,negated_conjecture,(cons(esk53_0,esk54_0)=app(esk60_0,esk18_2(esk49_0,cons(esk52_0,esk60_0)))|~ssList(app(esk60_0,esk18_2(esk49_0,cons(esk52_0,esk60_0))))),inference(cn,[status(thm)],[13685,theory(equality)])).
% cnf(15896,negated_conjecture,(app(esk60_0,esk18_2(esk49_0,cons(esk52_0,esk60_0)))=cons(esk53_0,esk54_0)|~ssList(esk18_2(esk49_0,cons(esk52_0,esk60_0)))|~ssList(esk60_0)),inference(spm,[status(thm)],[13686,138,theory(equality)])).
% cnf(15897,negated_conjecture,(app(esk60_0,esk18_2(esk49_0,cons(esk52_0,esk60_0)))=cons(esk53_0,esk54_0)|$false|~ssList(esk60_0)),inference(rw,[status(thm)],[15896,12479,theory(equality)])).
% cnf(15898,negated_conjecture,(app(esk60_0,esk18_2(esk49_0,cons(esk52_0,esk60_0)))=cons(esk53_0,esk54_0)|$false|$false),inference(rw,[status(thm)],[15897,1965,theory(equality)])).
% cnf(15899,negated_conjecture,(app(esk60_0,esk18_2(esk49_0,cons(esk52_0,esk60_0)))=cons(esk53_0,esk54_0)),inference(cn,[status(thm)],[15898,theory(equality)])).
% cnf(20875,plain,(X1=cons(X2,X3)|app(X1,X4)!=cons(X2,app(X3,X4))|~ssList(X4)|~ssList(X1)|~ssList(X3)|~ssItem(X2)),inference(csr,[status(thm)],[1175,112])).
% cnf(21297,plain,(X1=X2|app(cons(X3,X4),X1)!=cons(X3,app(X4,X2))|~ssList(X1)|~ssList(X4)|~ssList(X2)|~ssItem(X3)),inference(csr,[status(thm)],[1177,112])).
% cnf(37986,negated_conjecture,(X1=esk60_0|app(X1,cons(esk59_0,nil))!=cons(esk53_0,esk54_0)|~ssList(X1)|~ssList(nil)|~ssItem(esk59_0)),inference(spm,[status(thm)],[10216,112,theory(equality)])).
% cnf(37988,negated_conjecture,(X1=esk60_0|app(X1,cons(esk59_0,nil))!=cons(esk53_0,esk54_0)|~ssList(X1)|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[37986,113,theory(equality)])).
% cnf(37989,negated_conjecture,(X1=esk60_0|app(X1,cons(esk59_0,nil))!=cons(esk53_0,esk54_0)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[37988,1987,theory(equality)])).
% cnf(37990,negated_conjecture,(X1=esk60_0|app(X1,cons(esk59_0,nil))!=cons(esk53_0,esk54_0)|~ssList(X1)),inference(cn,[status(thm)],[37989,theory(equality)])).
% cnf(38003,negated_conjecture,(app(nil,esk60_0)=esk60_0|~ssList(app(nil,esk60_0))),inference(spm,[status(thm)],[37990,10665,theory(equality)])).
% cnf(38017,negated_conjecture,(app(nil,esk60_0)=esk60_0|~ssList(esk60_0)|~ssList(nil)),inference(spm,[status(thm)],[38003,138,theory(equality)])).
% cnf(38021,negated_conjecture,(app(nil,esk60_0)=esk60_0|$false|~ssList(nil)),inference(rw,[status(thm)],[38017,1965,theory(equality)])).
% cnf(38022,negated_conjecture,(app(nil,esk60_0)=esk60_0|$false|$false),inference(rw,[status(thm)],[38021,113,theory(equality)])).
% cnf(38023,negated_conjecture,(app(nil,esk60_0)=esk60_0),inference(cn,[status(thm)],[38022,theory(equality)])).
% cnf(42971,negated_conjecture,(X1=cons(esk59_0,nil)|app(esk60_0,X1)!=cons(esk53_0,esk54_0)|~ssList(X1)|~ssList(nil)|~ssItem(esk59_0)),inference(spm,[status(thm)],[10220,112,theory(equality)])).
% cnf(42973,negated_conjecture,(X1=cons(esk59_0,nil)|app(esk60_0,X1)!=cons(esk53_0,esk54_0)|~ssList(X1)|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[42971,113,theory(equality)])).
% cnf(42974,negated_conjecture,(X1=cons(esk59_0,nil)|app(esk60_0,X1)!=cons(esk53_0,esk54_0)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[42973,1987,theory(equality)])).
% cnf(42975,negated_conjecture,(X1=cons(esk59_0,nil)|app(esk60_0,X1)!=cons(esk53_0,esk54_0)|~ssList(X1)),inference(cn,[status(thm)],[42974,theory(equality)])).
% cnf(42982,negated_conjecture,(esk18_2(esk49_0,cons(esk52_0,esk60_0))=cons(esk59_0,nil)|~ssList(esk18_2(esk49_0,cons(esk52_0,esk60_0)))),inference(spm,[status(thm)],[42975,15899,theory(equality)])).
% cnf(42996,negated_conjecture,(esk18_2(esk49_0,cons(esk52_0,esk60_0))=cons(esk59_0,nil)|$false),inference(rw,[status(thm)],[42982,12479,theory(equality)])).
% cnf(42997,negated_conjecture,(esk18_2(esk49_0,cons(esk52_0,esk60_0))=cons(esk59_0,nil)),inference(cn,[status(thm)],[42996,theory(equality)])).
% cnf(43007,negated_conjecture,(ssList(cons(esk59_0,nil))),inference(rw,[status(thm)],[12479,42997,theory(equality)])).
% cnf(45986,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk52_0,nil))=esk48_0|epred1_0|~ssList(esk60_0)|~ssItem(esk52_0)|~ssItem(esk59_0)),inference(spm,[status(thm)],[1595,7288,theory(equality)])).
% cnf(46020,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk52_0,nil))=esk48_0|epred1_0|$false|~ssItem(esk52_0)|~ssItem(esk59_0)),inference(rw,[status(thm)],[45986,1965,theory(equality)])).
% cnf(46021,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk52_0,nil))=esk48_0|epred1_0|$false|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[46020,3993,theory(equality)])).
% cnf(46022,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk52_0,nil))=esk48_0|epred1_0|$false|$false|$false),inference(rw,[status(thm)],[46021,1987,theory(equality)])).
% cnf(46023,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk52_0,nil))=esk48_0|epred1_0),inference(cn,[status(thm)],[46022,theory(equality)])).
% cnf(46102,negated_conjecture,(app(cons(esk59_0,app(nil,esk60_0)),cons(esk52_0,nil))=esk48_0|epred1_0|~ssList(nil)|~ssList(esk60_0)|~ssItem(esk59_0)),inference(spm,[status(thm)],[46023,142,theory(equality)])).
% cnf(46159,negated_conjecture,(app(cons(esk59_0,esk60_0),cons(esk52_0,nil))=esk48_0|epred1_0|~ssList(nil)|~ssList(esk60_0)|~ssItem(esk59_0)),inference(rw,[status(thm)],[46102,38023,theory(equality)])).
% cnf(46160,negated_conjecture,(app(cons(esk59_0,esk60_0),cons(esk52_0,nil))=esk48_0|epred1_0|$false|~ssList(esk60_0)|~ssItem(esk59_0)),inference(rw,[status(thm)],[46159,113,theory(equality)])).
% cnf(46161,negated_conjecture,(app(cons(esk59_0,esk60_0),cons(esk52_0,nil))=esk48_0|epred1_0|$false|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[46160,1965,theory(equality)])).
% cnf(46162,negated_conjecture,(app(cons(esk59_0,esk60_0),cons(esk52_0,nil))=esk48_0|epred1_0|$false|$false|$false),inference(rw,[status(thm)],[46161,1987,theory(equality)])).
% cnf(46163,negated_conjecture,(app(cons(esk59_0,esk60_0),cons(esk52_0,nil))=esk48_0|epred1_0),inference(cn,[status(thm)],[46162,theory(equality)])).
% cnf(46559,negated_conjecture,(epred2_0|~ssList(esk54_0)|~ssItem(esk52_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[1597,4228,theory(equality)])).
% cnf(46573,negated_conjecture,(epred2_0|$false|~ssItem(esk52_0)|~ssItem(esk53_0)),inference(rw,[status(thm)],[46559,4053,theory(equality)])).
% cnf(46574,negated_conjecture,(epred2_0|$false|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[46573,3993,theory(equality)])).
% cnf(46575,negated_conjecture,(epred2_0|$false|$false|$false),inference(rw,[status(thm)],[46574,4023,theory(equality)])).
% cnf(46576,negated_conjecture,(epred2_0),inference(cn,[status(thm)],[46575,theory(equality)])).
% cnf(46577,negated_conjecture,($false|~epred1_0),inference(rw,[status(thm)],[1598,46576,theory(equality)])).
% cnf(46578,negated_conjecture,(~epred1_0),inference(cn,[status(thm)],[46577,theory(equality)])).
% cnf(46580,negated_conjecture,(app(app(cons(esk59_0,nil),esk60_0),cons(esk52_0,nil))=esk48_0),inference(sr,[status(thm)],[46023,46578,theory(equality)])).
% cnf(46581,negated_conjecture,(app(cons(esk59_0,esk60_0),cons(esk52_0,nil))=esk48_0),inference(sr,[status(thm)],[46163,46578,theory(equality)])).
% cnf(46831,negated_conjecture,(frontsegP(esk48_0,cons(esk59_0,esk60_0))|~ssList(cons(esk52_0,nil))|~ssList(cons(esk59_0,esk60_0))),inference(spm,[status(thm)],[11982,46581,theory(equality)])).
% cnf(46897,negated_conjecture,(esk48_0=cons(esk59_0,app(esk60_0,cons(esk52_0,nil)))|~ssList(esk60_0)|~ssList(cons(esk52_0,nil))|~ssItem(esk59_0)),inference(spm,[status(thm)],[142,46581,theory(equality)])).
% cnf(46898,negated_conjecture,(cons(esk52_0,nil)=X1|esk48_0!=cons(esk59_0,app(esk60_0,X1))|~ssList(X1)|~ssList(cons(esk52_0,nil))|~ssList(esk60_0)|~ssItem(esk59_0)),inference(spm,[status(thm)],[21297,46581,theory(equality)])).
% cnf(46936,negated_conjecture,(esk48_0=cons(esk59_0,app(esk60_0,cons(esk52_0,nil)))|$false|~ssList(cons(esk52_0,nil))|~ssItem(esk59_0)),inference(rw,[status(thm)],[46897,1965,theory(equality)])).
% cnf(46937,negated_conjecture,(esk48_0=cons(esk59_0,app(esk60_0,cons(esk52_0,nil)))|$false|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[46936,1987,theory(equality)])).
% cnf(46938,negated_conjecture,(esk48_0=cons(esk59_0,app(esk60_0,cons(esk52_0,nil)))|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[46937,theory(equality)])).
% cnf(46939,negated_conjecture,(cons(esk52_0,nil)=X1|esk48_0!=cons(esk59_0,app(esk60_0,X1))|~ssList(X1)|~ssList(cons(esk52_0,nil))|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[46898,1965,theory(equality)])).
% cnf(46940,negated_conjecture,(cons(esk52_0,nil)=X1|esk48_0!=cons(esk59_0,app(esk60_0,X1))|~ssList(X1)|~ssList(cons(esk52_0,nil))|$false|$false),inference(rw,[status(thm)],[46939,1987,theory(equality)])).
% cnf(46941,negated_conjecture,(cons(esk52_0,nil)=X1|esk48_0!=cons(esk59_0,app(esk60_0,X1))|~ssList(X1)|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[46940,theory(equality)])).
% cnf(47351,negated_conjecture,(cons(esk59_0,app(esk60_0,cons(esk52_0,nil)))=esk48_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[46938,112,theory(equality)])).
% cnf(47354,negated_conjecture,(cons(esk59_0,app(esk60_0,cons(esk52_0,nil)))=esk48_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[47351,113,theory(equality)])).
% cnf(47355,negated_conjecture,(cons(esk59_0,app(esk60_0,cons(esk52_0,nil)))=esk48_0|$false|$false),inference(rw,[status(thm)],[47354,3993,theory(equality)])).
% cnf(47356,negated_conjecture,(cons(esk59_0,app(esk60_0,cons(esk52_0,nil)))=esk48_0),inference(cn,[status(thm)],[47355,theory(equality)])).
% cnf(47368,negated_conjecture,(tl(esk48_0)=app(esk60_0,cons(esk52_0,nil))|~ssList(app(esk60_0,cons(esk52_0,nil)))|~ssItem(esk59_0)),inference(spm,[status(thm)],[229,47356,theory(equality)])).
% cnf(47442,negated_conjecture,(X1=cons(esk59_0,esk60_0)|app(X1,cons(esk52_0,nil))!=esk48_0|~ssList(cons(esk52_0,nil))|~ssList(X1)|~ssList(esk60_0)|~ssItem(esk59_0)),inference(spm,[status(thm)],[20875,47356,theory(equality)])).
% cnf(47468,negated_conjecture,(tl(esk48_0)=app(esk60_0,cons(esk52_0,nil))|~ssList(app(esk60_0,cons(esk52_0,nil)))|$false),inference(rw,[status(thm)],[47368,1987,theory(equality)])).
% cnf(47469,negated_conjecture,(tl(esk48_0)=app(esk60_0,cons(esk52_0,nil))|~ssList(app(esk60_0,cons(esk52_0,nil)))),inference(cn,[status(thm)],[47468,theory(equality)])).
% cnf(47626,negated_conjecture,(X1=cons(esk59_0,esk60_0)|app(X1,cons(esk52_0,nil))!=esk48_0|~ssList(cons(esk52_0,nil))|~ssList(X1)|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[47442,1965,theory(equality)])).
% cnf(47627,negated_conjecture,(X1=cons(esk59_0,esk60_0)|app(X1,cons(esk52_0,nil))!=esk48_0|~ssList(cons(esk52_0,nil))|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[47626,1987,theory(equality)])).
% cnf(47628,negated_conjecture,(X1=cons(esk59_0,esk60_0)|app(X1,cons(esk52_0,nil))!=esk48_0|~ssList(cons(esk52_0,nil))|~ssList(X1)),inference(cn,[status(thm)],[47627,theory(equality)])).
% cnf(52697,negated_conjecture,(tl(esk48_0)=app(esk60_0,cons(esk52_0,nil))|~ssList(cons(esk52_0,nil))|~ssList(esk60_0)),inference(spm,[status(thm)],[47469,138,theory(equality)])).
% cnf(52698,negated_conjecture,(tl(esk48_0)=app(esk60_0,cons(esk52_0,nil))|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[52697,1965,theory(equality)])).
% cnf(52699,negated_conjecture,(tl(esk48_0)=app(esk60_0,cons(esk52_0,nil))|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[52698,theory(equality)])).
% cnf(52700,negated_conjecture,(tl(esk48_0)=app(esk60_0,cons(esk52_0,nil))|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[52699,112,theory(equality)])).
% cnf(52703,negated_conjecture,(tl(esk48_0)=app(esk60_0,cons(esk52_0,nil))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[52700,113,theory(equality)])).
% cnf(52704,negated_conjecture,(tl(esk48_0)=app(esk60_0,cons(esk52_0,nil))|$false|$false),inference(rw,[status(thm)],[52703,3993,theory(equality)])).
% cnf(52705,negated_conjecture,(tl(esk48_0)=app(esk60_0,cons(esk52_0,nil))),inference(cn,[status(thm)],[52704,theory(equality)])).
% cnf(59491,negated_conjecture,(frontsegP(esk48_0,cons(esk59_0,esk60_0))|~ssList(cons(esk59_0,esk60_0))|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[46831,112,theory(equality)])).
% cnf(59494,negated_conjecture,(frontsegP(esk48_0,cons(esk59_0,esk60_0))|~ssList(cons(esk59_0,esk60_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[59491,113,theory(equality)])).
% cnf(59495,negated_conjecture,(frontsegP(esk48_0,cons(esk59_0,esk60_0))|~ssList(cons(esk59_0,esk60_0))|$false|$false),inference(rw,[status(thm)],[59494,3993,theory(equality)])).
% cnf(59496,negated_conjecture,(frontsegP(esk48_0,cons(esk59_0,esk60_0))|~ssList(cons(esk59_0,esk60_0))),inference(cn,[status(thm)],[59495,theory(equality)])).
% cnf(59499,negated_conjecture,(frontsegP(esk48_0,cons(esk59_0,esk60_0))|~ssList(esk60_0)|~ssItem(esk59_0)),inference(spm,[status(thm)],[59496,112,theory(equality)])).
% cnf(59501,negated_conjecture,(frontsegP(esk48_0,cons(esk59_0,esk60_0))|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[59499,1965,theory(equality)])).
% cnf(59502,negated_conjecture,(frontsegP(esk48_0,cons(esk59_0,esk60_0))|$false|$false),inference(rw,[status(thm)],[59501,1987,theory(equality)])).
% cnf(59503,negated_conjecture,(frontsegP(esk48_0,cons(esk59_0,esk60_0))),inference(cn,[status(thm)],[59502,theory(equality)])).
% cnf(59506,negated_conjecture,(ssList(esk18_2(esk48_0,cons(esk59_0,esk60_0)))|~ssList(cons(esk59_0,esk60_0))|~ssList(esk48_0)),inference(spm,[status(thm)],[280,59503,theory(equality)])).
% cnf(59508,negated_conjecture,(app(cons(esk59_0,esk60_0),esk18_2(esk48_0,cons(esk59_0,esk60_0)))=esk48_0|~ssList(cons(esk59_0,esk60_0))|~ssList(esk48_0)),inference(spm,[status(thm)],[279,59503,theory(equality)])).
% cnf(59519,negated_conjecture,(ssList(esk18_2(esk48_0,cons(esk59_0,esk60_0)))|~ssList(cons(esk59_0,esk60_0))|$false),inference(rw,[status(thm)],[59506,573,theory(equality)])).
% cnf(59520,negated_conjecture,(ssList(esk18_2(esk48_0,cons(esk59_0,esk60_0)))|~ssList(cons(esk59_0,esk60_0))),inference(cn,[status(thm)],[59519,theory(equality)])).
% cnf(59523,negated_conjecture,(app(cons(esk59_0,esk60_0),esk18_2(esk48_0,cons(esk59_0,esk60_0)))=esk48_0|~ssList(cons(esk59_0,esk60_0))|$false),inference(rw,[status(thm)],[59508,573,theory(equality)])).
% cnf(59524,negated_conjecture,(app(cons(esk59_0,esk60_0),esk18_2(esk48_0,cons(esk59_0,esk60_0)))=esk48_0|~ssList(cons(esk59_0,esk60_0))),inference(cn,[status(thm)],[59523,theory(equality)])).
% cnf(60385,negated_conjecture,(ssList(esk18_2(esk48_0,cons(esk59_0,esk60_0)))|~ssList(esk60_0)|~ssItem(esk59_0)),inference(spm,[status(thm)],[59520,112,theory(equality)])).
% cnf(60387,negated_conjecture,(ssList(esk18_2(esk48_0,cons(esk59_0,esk60_0)))|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[60385,1965,theory(equality)])).
% cnf(60388,negated_conjecture,(ssList(esk18_2(esk48_0,cons(esk59_0,esk60_0)))|$false|$false),inference(rw,[status(thm)],[60387,1987,theory(equality)])).
% cnf(60389,negated_conjecture,(ssList(esk18_2(esk48_0,cons(esk59_0,esk60_0)))),inference(cn,[status(thm)],[60388,theory(equality)])).
% cnf(62575,negated_conjecture,(app(cons(esk59_0,esk60_0),esk18_2(esk48_0,cons(esk59_0,esk60_0)))=esk48_0|~ssList(esk60_0)|~ssItem(esk59_0)),inference(spm,[status(thm)],[59524,112,theory(equality)])).
% cnf(62577,negated_conjecture,(app(cons(esk59_0,esk60_0),esk18_2(esk48_0,cons(esk59_0,esk60_0)))=esk48_0|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[62575,1965,theory(equality)])).
% cnf(62578,negated_conjecture,(app(cons(esk59_0,esk60_0),esk18_2(esk48_0,cons(esk59_0,esk60_0)))=esk48_0|$false|$false),inference(rw,[status(thm)],[62577,1987,theory(equality)])).
% cnf(62579,negated_conjecture,(app(cons(esk59_0,esk60_0),esk18_2(esk48_0,cons(esk59_0,esk60_0)))=esk48_0),inference(cn,[status(thm)],[62578,theory(equality)])).
% cnf(62648,negated_conjecture,(esk48_0=cons(esk59_0,app(esk60_0,esk18_2(esk48_0,cons(esk59_0,esk60_0))))|~ssList(esk60_0)|~ssList(esk18_2(esk48_0,cons(esk59_0,esk60_0)))|~ssItem(esk59_0)),inference(spm,[status(thm)],[142,62579,theory(equality)])).
% cnf(62794,negated_conjecture,(esk48_0=cons(esk59_0,app(esk60_0,esk18_2(esk48_0,cons(esk59_0,esk60_0))))|$false|~ssList(esk18_2(esk48_0,cons(esk59_0,esk60_0)))|~ssItem(esk59_0)),inference(rw,[status(thm)],[62648,1965,theory(equality)])).
% cnf(62795,negated_conjecture,(esk48_0=cons(esk59_0,app(esk60_0,esk18_2(esk48_0,cons(esk59_0,esk60_0))))|$false|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[62794,60389,theory(equality)])).
% cnf(62796,negated_conjecture,(esk48_0=cons(esk59_0,app(esk60_0,esk18_2(esk48_0,cons(esk59_0,esk60_0))))|$false|$false|$false),inference(rw,[status(thm)],[62795,1987,theory(equality)])).
% cnf(62797,negated_conjecture,(esk48_0=cons(esk59_0,app(esk60_0,esk18_2(esk48_0,cons(esk59_0,esk60_0))))),inference(cn,[status(thm)],[62796,theory(equality)])).
% cnf(62847,negated_conjecture,(tl(esk48_0)=app(esk60_0,esk18_2(esk48_0,cons(esk59_0,esk60_0)))|~ssList(app(esk60_0,esk18_2(esk48_0,cons(esk59_0,esk60_0))))|~ssItem(esk59_0)),inference(spm,[status(thm)],[229,62797,theory(equality)])).
% cnf(62982,negated_conjecture,(app(esk60_0,cons(esk52_0,nil))=app(esk60_0,esk18_2(esk48_0,cons(esk59_0,esk60_0)))|~ssList(app(esk60_0,esk18_2(esk48_0,cons(esk59_0,esk60_0))))|~ssItem(esk59_0)),inference(rw,[status(thm)],[62847,52705,theory(equality)])).
% cnf(62983,negated_conjecture,(app(esk60_0,cons(esk52_0,nil))=app(esk60_0,esk18_2(esk48_0,cons(esk59_0,esk60_0)))|~ssList(app(esk60_0,esk18_2(esk48_0,cons(esk59_0,esk60_0))))|$false),inference(rw,[status(thm)],[62982,1987,theory(equality)])).
% cnf(62984,negated_conjecture,(app(esk60_0,cons(esk52_0,nil))=app(esk60_0,esk18_2(esk48_0,cons(esk59_0,esk60_0)))|~ssList(app(esk60_0,esk18_2(esk48_0,cons(esk59_0,esk60_0))))),inference(cn,[status(thm)],[62983,theory(equality)])).
% cnf(65878,negated_conjecture,(app(esk60_0,esk18_2(esk48_0,cons(esk59_0,esk60_0)))=app(esk60_0,cons(esk52_0,nil))|~ssList(esk18_2(esk48_0,cons(esk59_0,esk60_0)))|~ssList(esk60_0)),inference(spm,[status(thm)],[62984,138,theory(equality)])).
% cnf(65879,negated_conjecture,(app(esk60_0,esk18_2(esk48_0,cons(esk59_0,esk60_0)))=app(esk60_0,cons(esk52_0,nil))|$false|~ssList(esk60_0)),inference(rw,[status(thm)],[65878,60389,theory(equality)])).
% cnf(65880,negated_conjecture,(app(esk60_0,esk18_2(esk48_0,cons(esk59_0,esk60_0)))=app(esk60_0,cons(esk52_0,nil))|$false|$false),inference(rw,[status(thm)],[65879,1965,theory(equality)])).
% cnf(65881,negated_conjecture,(app(esk60_0,esk18_2(esk48_0,cons(esk59_0,esk60_0)))=app(esk60_0,cons(esk52_0,nil))),inference(cn,[status(thm)],[65880,theory(equality)])).
% cnf(105993,negated_conjecture,(cons(esk52_0,nil)=X1|cons(esk59_0,app(esk60_0,X1))!=esk48_0|~ssList(X1)|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[46941,112,theory(equality)])).
% cnf(105996,negated_conjecture,(cons(esk52_0,nil)=X1|cons(esk59_0,app(esk60_0,X1))!=esk48_0|~ssList(X1)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[105993,113,theory(equality)])).
% cnf(105997,negated_conjecture,(cons(esk52_0,nil)=X1|cons(esk59_0,app(esk60_0,X1))!=esk48_0|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[105996,3993,theory(equality)])).
% cnf(105998,negated_conjecture,(cons(esk52_0,nil)=X1|cons(esk59_0,app(esk60_0,X1))!=esk48_0|~ssList(X1)),inference(cn,[status(thm)],[105997,theory(equality)])).
% cnf(106005,negated_conjecture,(cons(esk52_0,nil)=esk18_2(esk48_0,cons(esk59_0,esk60_0))|cons(esk59_0,app(esk60_0,cons(esk52_0,nil)))!=esk48_0|~ssList(esk18_2(esk48_0,cons(esk59_0,esk60_0)))),inference(spm,[status(thm)],[105998,65881,theory(equality)])).
% cnf(106031,negated_conjecture,(cons(esk52_0,nil)=esk18_2(esk48_0,cons(esk59_0,esk60_0))|$false|~ssList(esk18_2(esk48_0,cons(esk59_0,esk60_0)))),inference(rw,[status(thm)],[106005,47356,theory(equality)])).
% cnf(106032,negated_conjecture,(cons(esk52_0,nil)=esk18_2(esk48_0,cons(esk59_0,esk60_0))|$false|$false),inference(rw,[status(thm)],[106031,60389,theory(equality)])).
% cnf(106033,negated_conjecture,(cons(esk52_0,nil)=esk18_2(esk48_0,cons(esk59_0,esk60_0))),inference(cn,[status(thm)],[106032,theory(equality)])).
% cnf(106096,negated_conjecture,(ssList(cons(esk52_0,nil))),inference(rw,[status(thm)],[60389,106033,theory(equality)])).
% cnf(106769,negated_conjecture,(X1=cons(esk59_0,esk60_0)|app(X1,cons(esk52_0,nil))!=esk48_0|$false|~ssList(X1)),inference(rw,[status(thm)],[47628,106096,theory(equality)])).
% cnf(106770,negated_conjecture,(X1=cons(esk59_0,esk60_0)|app(X1,cons(esk52_0,nil))!=esk48_0|~ssList(X1)),inference(cn,[status(thm)],[106769,theory(equality)])).
% cnf(106776,negated_conjecture,(app(cons(esk59_0,nil),esk60_0)=cons(esk59_0,esk60_0)|~ssList(app(cons(esk59_0,nil),esk60_0))),inference(spm,[status(thm)],[106770,46580,theory(equality)])).
% cnf(106801,negated_conjecture,(app(cons(esk59_0,nil),esk60_0)=cons(esk59_0,esk60_0)|~ssList(esk60_0)|~ssList(cons(esk59_0,nil))),inference(spm,[status(thm)],[106776,138,theory(equality)])).
% cnf(106809,negated_conjecture,(app(cons(esk59_0,nil),esk60_0)=cons(esk59_0,esk60_0)|$false|~ssList(cons(esk59_0,nil))),inference(rw,[status(thm)],[106801,1965,theory(equality)])).
% cnf(106810,negated_conjecture,(app(cons(esk59_0,nil),esk60_0)=cons(esk59_0,esk60_0)|$false|$false),inference(rw,[status(thm)],[106809,43007,theory(equality)])).
% cnf(106811,negated_conjecture,(app(cons(esk59_0,nil),esk60_0)=cons(esk59_0,esk60_0)),inference(cn,[status(thm)],[106810,theory(equality)])).
% cnf(144535,negated_conjecture,($false|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk49_0|~ssList(X3)|~ssItem(X2)|~ssItem(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[7292,106811,theory(equality)]),46581,theory(equality)])).
% cnf(144536,negated_conjecture,(app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk49_0|~ssList(X3)|~ssItem(X2)|~ssItem(X1)),inference(cn,[status(thm)],[144535,theory(equality)])).
% cnf(144553,negated_conjecture,(~ssList(esk54_0)|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[144536,4228,theory(equality)])).
% cnf(144567,negated_conjecture,($false|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[144553,4053,theory(equality)])).
% cnf(144568,negated_conjecture,($false|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[144567,4023,theory(equality)])).
% cnf(144569,negated_conjecture,($false|$false|$false),inference(rw,[status(thm)],[144568,3993,theory(equality)])).
% cnf(144570,negated_conjecture,($false),inference(cn,[status(thm)],[144569,theory(equality)])).
% cnf(144571,negated_conjecture,($false),144570,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 5863
% # ...of these trivial : 179
% # ...subsumed : 2246
% # ...remaining for further processing: 3438
% # Other redundant clauses eliminated : 767
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 599
% # Backward-rewritten : 934
% # Generated clauses : 47288
% # ...of the previous two non-trivial : 42082
% # Contextual simplify-reflections : 1897
% # Paramodulations : 46295
% # Factorizations : 2
% # Equation resolutions : 951
% # Current number of processed clauses: 1861
% # Positive orientable unit clauses: 478
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 38
% # Non-unit-clauses : 1345
% # Current number of unprocessed clauses: 20524
% # ...number of literals in the above : 146358
% # Clause-clause subsumption calls (NU) : 239630
% # Rec. Clause-clause subsumption calls : 139538
% # Unit Clause-clause subsumption calls : 12378
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 939
% # Indexed BW rewrite successes : 323
% # Backwards rewriting index: 1326 leaves, 1.52+/-1.491 terms/leaf
% # Paramod-from index: 596 leaves, 1.32+/-1.342 terms/leaf
% # Paramod-into index: 1084 leaves, 1.46+/-1.507 terms/leaf
% # -------------------------------------------------
% # User time : 3.361 s
% # System time : 0.108 s
% # Total time : 3.469 s
% # Maximum resident set size: 0 pages
% PrfWatch: 5.68 CPU 5.85 WC
% FINAL PrfWatch: 5.68 CPU 5.85 WC
% SZS output end Solution for /tmp/SystemOnTPTP14764/SWC412+1.tptp
%
%------------------------------------------------------------------------------