TSTP Solution File: SWC284+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC284+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 : art03.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 07:39:58 EST 2010
% Result : Theorem 1.46s
% Output : Solution 1.46s
% 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/SystemOnTPTP15534/SWC284+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP15534/SWC284+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP15534/SWC284+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 15630
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.030 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(4, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(neq(X1,X2)<=>~(X1=X2)))),file('/tmp/SRASS.s.p', ax15)).
% fof(5, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>ssList(cons(X2,X1)))),file('/tmp/SRASS.s.p', ax16)).
% fof(6, axiom,ssList(nil),file('/tmp/SRASS.s.p', ax17)).
% fof(10, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>~(nil=cons(X2,X1)))),file('/tmp/SRASS.s.p', ax21)).
% fof(11, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>ssList(app(X1,X2)))),file('/tmp/SRASS.s.p', ax26)).
% fof(12, 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(13, axiom,![X1]:(ssList(X1)=>app(nil,X1)=X1),file('/tmp/SRASS.s.p', ax28)).
% fof(19, axiom,![X1]:(ssItem(X1)=>~(memberP(nil,X1))),file('/tmp/SRASS.s.p', ax38)).
% fof(21, 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(22, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>cons(X2,X1)=app(cons(X2,nil),X1))),file('/tmp/SRASS.s.p', ax81)).
% fof(23, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>app(app(X1,X2),X3)=app(X1,app(X2,X3))))),file('/tmp/SRASS.s.p', ax82)).
% fof(24, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(nil=app(X1,X2)<=>(nil=X2&nil=X1)))),file('/tmp/SRASS.s.p', ax83)).
% fof(25, axiom,![X1]:(ssList(X1)=>app(X1,nil)=X1),file('/tmp/SRASS.s.p', ax84)).
% fof(33, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(~(nil=X1)=>tl(app(X1,X2))=app(tl(X1),X2)))),file('/tmp/SRASS.s.p', ax86)).
% fof(34, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>hd(cons(X2,X1))=X2)),file('/tmp/SRASS.s.p', ax23)).
% fof(35, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>tl(cons(X2,X1))=X1)),file('/tmp/SRASS.s.p', ax25)).
% fof(37, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>ssItem(hd(X1)))),file('/tmp/SRASS.s.p', ax22)).
% fof(52, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>ssList(tl(X1)))),file('/tmp/SRASS.s.p', ax24)).
% fof(64, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>cons(hd(X1),tl(X1))=X1)),file('/tmp/SRASS.s.p', ax78)).
% 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))|![X8]:(ssItem(X8)=>((~(memberP(X6,X8))|leq(X8,X5))&(~(memberP(X7,X8))|leq(X5,X8))))))))|(~(nil=X3)&nil=X4))|(![X9]:((~(ssItem(X9))|~(cons(X9,nil)=X3))|~(memberP(X4,X9)))&neq(X4,nil)))))),file('/tmp/SRASS.s.p', co1)).
% fof(97, negated_conjecture,~(![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(((((~(ssList(X4))|~(X2=X4))|~(X1=X3))|![X5]:(ssItem(X5)=>![X6]:(ssList(X6)=>![X7]:((~(ssList(X7))|~(app(app(X6,cons(X5,nil)),X7)=X1))|![X8]:(ssItem(X8)=>((~(memberP(X6,X8))|leq(X8,X5))&(~(memberP(X7,X8))|leq(X5,X8))))))))|(~(nil=X3)&nil=X4))|(![X9]:((~(ssItem(X9))|~(cons(X9,nil)=X3))|~(memberP(X4,X9)))&neq(X4,nil))))))),inference(assume_negation,[status(cth)],[96])).
% fof(98, plain,![X1]:(ssItem(X1)=>~(memberP(nil,X1))),inference(fof_simplification,[status(thm)],[19,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))|![X8]:(ssItem(X8)=>((~(memberP(X6,X8))|leq(X8,X5))&(~(memberP(X7,X8))|leq(X5,X8))))))))|(~(nil=X3)&nil=X4))|(![X9]:((~(ssItem(X9))|~(cons(X9,nil)=X3))|~(memberP(X4,X9)))&neq(X4,nil))))))),inference(fof_simplification,[status(thm)],[97,theory(equality)])).
% fof(124, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(neq(X1,X2))|~(X1=X2))&(X1=X2|neq(X1,X2))))),inference(fof_nnf,[status(thm)],[4])).
% fof(125, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))),inference(variable_rename,[status(thm)],[124])).
% fof(126, plain,![X3]:![X4]:((~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[125])).
% fof(127, plain,![X3]:![X4]:((((~(neq(X3,X4))|~(X3=X4))|~(ssList(X4)))|~(ssList(X3)))&(((X3=X4|neq(X3,X4))|~(ssList(X4)))|~(ssList(X3)))),inference(distribute,[status(thm)],[126])).
% cnf(128,plain,(neq(X1,X2)|X1=X2|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[127])).
% fof(130, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|ssList(cons(X2,X1)))),inference(fof_nnf,[status(thm)],[5])).
% fof(131, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|ssList(cons(X4,X3)))),inference(variable_rename,[status(thm)],[130])).
% fof(132, plain,![X3]:![X4]:((~(ssItem(X4))|ssList(cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[131])).
% cnf(133,plain,(ssList(cons(X2,X1))|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[132])).
% cnf(134,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[6])).
% fof(152, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|~(nil=cons(X2,X1)))),inference(fof_nnf,[status(thm)],[10])).
% fof(153, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|~(nil=cons(X4,X3)))),inference(variable_rename,[status(thm)],[152])).
% fof(154, plain,![X3]:![X4]:((~(ssItem(X4))|~(nil=cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[153])).
% cnf(155,plain,(~ssList(X1)|nil!=cons(X2,X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[154])).
% fof(156, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|ssList(app(X1,X2)))),inference(fof_nnf,[status(thm)],[11])).
% fof(157, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|ssList(app(X3,X4)))),inference(variable_rename,[status(thm)],[156])).
% fof(158, plain,![X3]:![X4]:((~(ssList(X4))|ssList(app(X3,X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[157])).
% cnf(159,plain,(ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[158])).
% fof(160, 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)],[12])).
% fof(161, 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)],[160])).
% fof(162, 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)],[161])).
% cnf(163,plain,(cons(X3,app(X2,X1))=app(cons(X3,X2),X1)|~ssList(X1)|~ssList(X2)|~ssItem(X3)),inference(split_conjunct,[status(thm)],[162])).
% fof(164, plain,![X1]:(~(ssList(X1))|app(nil,X1)=X1),inference(fof_nnf,[status(thm)],[13])).
% fof(165, plain,![X2]:(~(ssList(X2))|app(nil,X2)=X2),inference(variable_rename,[status(thm)],[164])).
% cnf(166,plain,(app(nil,X1)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[165])).
% fof(192, plain,![X1]:(~(ssItem(X1))|~(memberP(nil,X1))),inference(fof_nnf,[status(thm)],[98])).
% fof(193, plain,![X2]:(~(ssItem(X2))|~(memberP(nil,X2))),inference(variable_rename,[status(thm)],[192])).
% cnf(194,plain,(~memberP(nil,X1)|~ssItem(X1)),inference(split_conjunct,[status(thm)],[193])).
% fof(199, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X2,X3)=app(X2,X1))|X3=X1)))),inference(fof_nnf,[status(thm)],[21])).
% fof(200, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4)))),inference(variable_rename,[status(thm)],[199])).
% fof(201, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[200])).
% cnf(202,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X2,X3)!=app(X2,X1)|~ssList(X3)),inference(split_conjunct,[status(thm)],[201])).
% fof(203, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|cons(X2,X1)=app(cons(X2,nil),X1))),inference(fof_nnf,[status(thm)],[22])).
% fof(204, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))),inference(variable_rename,[status(thm)],[203])).
% fof(205, plain,![X3]:![X4]:((~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[204])).
% cnf(206,plain,(cons(X2,X1)=app(cons(X2,nil),X1)|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[205])).
% fof(207, 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)],[23])).
% fof(208, 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)],[207])).
% fof(209, 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)],[208])).
% cnf(210,plain,(app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X1)|~ssList(X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[209])).
% fof(211, 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)],[24])).
% fof(212, 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)],[211])).
% fof(213, 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)],[212])).
% fof(214, 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)],[213])).
% cnf(216,plain,(nil=X1|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[214])).
% cnf(217,plain,(nil=X2|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[214])).
% fof(218, plain,![X1]:(~(ssList(X1))|app(X1,nil)=X1),inference(fof_nnf,[status(thm)],[25])).
% fof(219, plain,![X2]:(~(ssList(X2))|app(X2,nil)=X2),inference(variable_rename,[status(thm)],[218])).
% cnf(220,plain,(app(X1,nil)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[219])).
% fof(299, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|(nil=X1|tl(app(X1,X2))=app(tl(X1),X2)))),inference(fof_nnf,[status(thm)],[33])).
% fof(300, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|(nil=X3|tl(app(X3,X4))=app(tl(X3),X4)))),inference(variable_rename,[status(thm)],[299])).
% fof(301, plain,![X3]:![X4]:((~(ssList(X4))|(nil=X3|tl(app(X3,X4))=app(tl(X3),X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[300])).
% cnf(302,plain,(tl(app(X1,X2))=app(tl(X1),X2)|nil=X1|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[301])).
% fof(303, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|hd(cons(X2,X1))=X2)),inference(fof_nnf,[status(thm)],[34])).
% fof(304, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|hd(cons(X4,X3))=X4)),inference(variable_rename,[status(thm)],[303])).
% fof(305, plain,![X3]:![X4]:((~(ssItem(X4))|hd(cons(X4,X3))=X4)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[304])).
% cnf(306,plain,(hd(cons(X2,X1))=X2|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[305])).
% fof(307, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|tl(cons(X2,X1))=X1)),inference(fof_nnf,[status(thm)],[35])).
% fof(308, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|tl(cons(X4,X3))=X3)),inference(variable_rename,[status(thm)],[307])).
% fof(309, plain,![X3]:![X4]:((~(ssItem(X4))|tl(cons(X4,X3))=X3)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[308])).
% cnf(310,plain,(tl(cons(X2,X1))=X1|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[309])).
% fof(318, plain,![X1]:(~(ssList(X1))|(nil=X1|ssItem(hd(X1)))),inference(fof_nnf,[status(thm)],[37])).
% fof(319, plain,![X2]:(~(ssList(X2))|(nil=X2|ssItem(hd(X2)))),inference(variable_rename,[status(thm)],[318])).
% cnf(320,plain,(ssItem(hd(X1))|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[319])).
% fof(393, plain,![X1]:(~(ssList(X1))|(nil=X1|ssList(tl(X1)))),inference(fof_nnf,[status(thm)],[52])).
% fof(394, plain,![X2]:(~(ssList(X2))|(nil=X2|ssList(tl(X2)))),inference(variable_rename,[status(thm)],[393])).
% cnf(395,plain,(ssList(tl(X1))|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[394])).
% fof(466, plain,![X1]:(~(ssList(X1))|(nil=X1|cons(hd(X1),tl(X1))=X1)),inference(fof_nnf,[status(thm)],[64])).
% fof(467, plain,![X2]:(~(ssList(X2))|(nil=X2|cons(hd(X2),tl(X2))=X2)),inference(variable_rename,[status(thm)],[466])).
% cnf(468,plain,(cons(hd(X1),tl(X1))=X1|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[467])).
% 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)&?[X8]:(ssItem(X8)&((memberP(X6,X8)&~(leq(X8,X5)))|(memberP(X7,X8)&~(leq(X5,X8)))))))))&(nil=X3|~(nil=X4)))&(?[X9]:((ssItem(X9)&cons(X9,nil)=X3)&memberP(X4,X9))|~(neq(X4,nil))))))),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)&?[X17]:(ssItem(X17)&((memberP(X15,X17)&~(leq(X17,X14)))|(memberP(X16,X17)&~(leq(X14,X17)))))))))&(nil=X12|~(nil=X13)))&(?[X18]:((ssItem(X18)&cons(X18,nil)=X12)&memberP(X13,X18))|~(neq(X13,nil))))))),inference(variable_rename,[status(thm)],[568])).
% fof(570, negated_conjecture,(ssList(esk48_0)&(ssList(esk49_0)&(ssList(esk50_0)&(((((ssList(esk51_0)&esk49_0=esk51_0)&esk48_0=esk50_0)&(ssItem(esk52_0)&(ssList(esk53_0)&((ssList(esk54_0)&app(app(esk53_0,cons(esk52_0,nil)),esk54_0)=esk48_0)&(ssItem(esk55_0)&((memberP(esk53_0,esk55_0)&~(leq(esk55_0,esk52_0)))|(memberP(esk54_0,esk55_0)&~(leq(esk52_0,esk55_0)))))))))&(nil=esk50_0|~(nil=esk51_0)))&(((ssItem(esk56_0)&cons(esk56_0,nil)=esk50_0)&memberP(esk51_0,esk56_0))|~(neq(esk51_0,nil))))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,(ssList(esk48_0)&(ssList(esk49_0)&(ssList(esk50_0)&(((((ssList(esk51_0)&esk49_0=esk51_0)&esk48_0=esk50_0)&(ssItem(esk52_0)&(ssList(esk53_0)&((ssList(esk54_0)&app(app(esk53_0,cons(esk52_0,nil)),esk54_0)=esk48_0)&(ssItem(esk55_0)&(((memberP(esk54_0,esk55_0)|memberP(esk53_0,esk55_0))&(~(leq(esk52_0,esk55_0))|memberP(esk53_0,esk55_0)))&((memberP(esk54_0,esk55_0)|~(leq(esk55_0,esk52_0)))&(~(leq(esk52_0,esk55_0))|~(leq(esk55_0,esk52_0))))))))))&(nil=esk50_0|~(nil=esk51_0)))&(((ssItem(esk56_0)|~(neq(esk51_0,nil)))&(cons(esk56_0,nil)=esk50_0|~(neq(esk51_0,nil))))&(memberP(esk51_0,esk56_0)|~(neq(esk51_0,nil)))))))),inference(distribute,[status(thm)],[570])).
% cnf(573,negated_conjecture,(cons(esk56_0,nil)=esk50_0|~neq(esk51_0,nil)),inference(split_conjunct,[status(thm)],[571])).
% cnf(574,negated_conjecture,(ssItem(esk56_0)|~neq(esk51_0,nil)),inference(split_conjunct,[status(thm)],[571])).
% cnf(575,negated_conjecture,(nil=esk50_0|nil!=esk51_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(579,negated_conjecture,(memberP(esk53_0,esk55_0)|memberP(esk54_0,esk55_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(580,negated_conjecture,(ssItem(esk55_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(581,negated_conjecture,(app(app(esk53_0,cons(esk52_0,nil)),esk54_0)=esk48_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(582,negated_conjecture,(ssList(esk54_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(583,negated_conjecture,(ssList(esk53_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(584,negated_conjecture,(ssItem(esk52_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(585,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(586,negated_conjecture,(esk49_0=esk51_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(589,negated_conjecture,(ssList(esk49_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(590,negated_conjecture,(ssList(esk48_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(591,negated_conjecture,(ssList(esk50_0)),inference(rw,[status(thm)],[590,585,theory(equality)])).
% cnf(592,negated_conjecture,(ssList(esk51_0)),inference(rw,[status(thm)],[589,586,theory(equality)])).
% cnf(595,negated_conjecture,(app(app(esk53_0,cons(esk52_0,nil)),esk54_0)=esk50_0),inference(rw,[status(thm)],[581,585,theory(equality)])).
% cnf(672,negated_conjecture,(ssItem(esk56_0)|esk51_0=nil|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[574,128,theory(equality)])).
% cnf(673,negated_conjecture,(cons(esk56_0,nil)=esk50_0|esk51_0=nil|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[573,128,theory(equality)])).
% cnf(675,negated_conjecture,(ssItem(esk56_0)|esk51_0=nil|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[672,134,theory(equality)])).
% cnf(676,negated_conjecture,(ssItem(esk56_0)|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[675,592,theory(equality)])).
% cnf(677,negated_conjecture,(ssItem(esk56_0)|esk51_0=nil),inference(cn,[status(thm)],[676,theory(equality)])).
% cnf(678,negated_conjecture,(cons(esk56_0,nil)=esk50_0|esk51_0=nil|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[673,134,theory(equality)])).
% cnf(679,negated_conjecture,(cons(esk56_0,nil)=esk50_0|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[678,592,theory(equality)])).
% cnf(680,negated_conjecture,(cons(esk56_0,nil)=esk50_0|esk51_0=nil),inference(cn,[status(thm)],[679,theory(equality)])).
% cnf(933,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)],[595,210,theory(equality)])).
% cnf(941,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0|$false|~ssList(cons(esk52_0,nil))|~ssList(esk53_0)),inference(rw,[status(thm)],[933,582,theory(equality)])).
% cnf(942,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0|$false|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[941,583,theory(equality)])).
% cnf(943,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[942,theory(equality)])).
% cnf(1408,negated_conjecture,(hd(esk50_0)=esk56_0|esk51_0=nil|~ssList(nil)|~ssItem(esk56_0)),inference(spm,[status(thm)],[306,680,theory(equality)])).
% cnf(1409,negated_conjecture,(tl(esk50_0)=nil|esk51_0=nil|~ssList(nil)|~ssItem(esk56_0)),inference(spm,[status(thm)],[310,680,theory(equality)])).
% cnf(1448,negated_conjecture,(hd(esk50_0)=esk56_0|esk51_0=nil|$false|~ssItem(esk56_0)),inference(rw,[status(thm)],[1408,134,theory(equality)])).
% cnf(1449,negated_conjecture,(hd(esk50_0)=esk56_0|esk51_0=nil|~ssItem(esk56_0)),inference(cn,[status(thm)],[1448,theory(equality)])).
% cnf(1450,negated_conjecture,(tl(esk50_0)=nil|esk51_0=nil|$false|~ssItem(esk56_0)),inference(rw,[status(thm)],[1409,134,theory(equality)])).
% cnf(1451,negated_conjecture,(tl(esk50_0)=nil|esk51_0=nil|~ssItem(esk56_0)),inference(cn,[status(thm)],[1450,theory(equality)])).
% cnf(1549,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[943,133,theory(equality)])).
% cnf(1550,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1549,134,theory(equality)])).
% cnf(1551,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[1550,584,theory(equality)])).
% cnf(1552,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0),inference(cn,[status(thm)],[1551,theory(equality)])).
% cnf(1568,negated_conjecture,(app(esk53_0,cons(esk52_0,esk54_0))=esk50_0|~ssList(esk54_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1552,206,theory(equality)])).
% cnf(1603,negated_conjecture,(app(esk53_0,cons(esk52_0,esk54_0))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1568,582,theory(equality)])).
% cnf(1604,negated_conjecture,(app(esk53_0,cons(esk52_0,esk54_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[1603,584,theory(equality)])).
% cnf(1605,negated_conjecture,(app(esk53_0,cons(esk52_0,esk54_0))=esk50_0),inference(cn,[status(thm)],[1604,theory(equality)])).
% cnf(1606,negated_conjecture,(nil=esk53_0|esk50_0!=nil|~ssList(cons(esk52_0,esk54_0))|~ssList(esk53_0)),inference(spm,[status(thm)],[216,1605,theory(equality)])).
% cnf(1609,negated_conjecture,(tl(esk50_0)=app(tl(esk53_0),cons(esk52_0,esk54_0))|nil=esk53_0|~ssList(cons(esk52_0,esk54_0))|~ssList(esk53_0)),inference(spm,[status(thm)],[302,1605,theory(equality)])).
% cnf(1614,negated_conjecture,(X1=cons(esk52_0,esk54_0)|app(esk53_0,X1)!=esk50_0|~ssList(cons(esk52_0,esk54_0))|~ssList(esk53_0)|~ssList(X1)),inference(spm,[status(thm)],[202,1605,theory(equality)])).
% cnf(1626,negated_conjecture,(nil=esk53_0|esk50_0!=nil|~ssList(cons(esk52_0,esk54_0))|$false),inference(rw,[status(thm)],[1606,583,theory(equality)])).
% cnf(1627,negated_conjecture,(nil=esk53_0|esk50_0!=nil|~ssList(cons(esk52_0,esk54_0))),inference(cn,[status(thm)],[1626,theory(equality)])).
% cnf(1633,negated_conjecture,(tl(esk50_0)=app(tl(esk53_0),cons(esk52_0,esk54_0))|nil=esk53_0|~ssList(cons(esk52_0,esk54_0))|$false),inference(rw,[status(thm)],[1609,583,theory(equality)])).
% cnf(1634,negated_conjecture,(tl(esk50_0)=app(tl(esk53_0),cons(esk52_0,esk54_0))|nil=esk53_0|~ssList(cons(esk52_0,esk54_0))),inference(cn,[status(thm)],[1633,theory(equality)])).
% cnf(1643,negated_conjecture,(X1=cons(esk52_0,esk54_0)|app(esk53_0,X1)!=esk50_0|~ssList(cons(esk52_0,esk54_0))|$false|~ssList(X1)),inference(rw,[status(thm)],[1614,583,theory(equality)])).
% cnf(1644,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)],[1643,theory(equality)])).
% cnf(1889,negated_conjecture,(hd(esk50_0)=esk56_0|esk51_0=nil),inference(csr,[status(thm)],[1449,677])).
% cnf(1890,negated_conjecture,(nil=esk50_0|ssItem(esk56_0)|esk51_0=nil|~ssList(esk50_0)),inference(spm,[status(thm)],[320,1889,theory(equality)])).
% cnf(1891,negated_conjecture,(cons(esk56_0,tl(esk50_0))=esk50_0|nil=esk50_0|esk51_0=nil|~ssList(esk50_0)),inference(spm,[status(thm)],[468,1889,theory(equality)])).
% cnf(1896,negated_conjecture,(nil=esk50_0|ssItem(esk56_0)|esk51_0=nil|$false),inference(rw,[status(thm)],[1890,591,theory(equality)])).
% cnf(1897,negated_conjecture,(nil=esk50_0|ssItem(esk56_0)|esk51_0=nil),inference(cn,[status(thm)],[1896,theory(equality)])).
% cnf(1898,negated_conjecture,(cons(esk56_0,tl(esk50_0))=esk50_0|nil=esk50_0|esk51_0=nil|$false),inference(rw,[status(thm)],[1891,591,theory(equality)])).
% cnf(1899,negated_conjecture,(cons(esk56_0,tl(esk50_0))=esk50_0|nil=esk50_0|esk51_0=nil),inference(cn,[status(thm)],[1898,theory(equality)])).
% cnf(1908,negated_conjecture,(esk50_0=nil|ssItem(esk56_0)),inference(csr,[status(thm)],[1897,575])).
% cnf(1909,negated_conjecture,(tl(esk50_0)=nil|esk51_0=nil),inference(csr,[status(thm)],[1451,677])).
% cnf(1924,negated_conjecture,(cons(esk56_0,tl(esk50_0))=esk50_0|esk50_0=nil),inference(csr,[status(thm)],[1899,575])).
% cnf(1955,negated_conjecture,(cons(esk56_0,nil)=esk50_0|esk50_0=nil|esk51_0=nil),inference(spm,[status(thm)],[1924,1909,theory(equality)])).
% cnf(1957,negated_conjecture,(cons(esk56_0,nil)=esk50_0|esk50_0=nil),inference(csr,[status(thm)],[1955,575])).
% cnf(1961,negated_conjecture,(hd(esk50_0)=esk56_0|esk50_0=nil|~ssList(nil)|~ssItem(esk56_0)),inference(spm,[status(thm)],[306,1957,theory(equality)])).
% cnf(1962,negated_conjecture,(tl(esk50_0)=nil|esk50_0=nil|~ssList(nil)|~ssItem(esk56_0)),inference(spm,[status(thm)],[310,1957,theory(equality)])).
% cnf(2001,negated_conjecture,(hd(esk50_0)=esk56_0|esk50_0=nil|$false|~ssItem(esk56_0)),inference(rw,[status(thm)],[1961,134,theory(equality)])).
% cnf(2002,negated_conjecture,(hd(esk50_0)=esk56_0|esk50_0=nil|~ssItem(esk56_0)),inference(cn,[status(thm)],[2001,theory(equality)])).
% cnf(2003,negated_conjecture,(tl(esk50_0)=nil|esk50_0=nil|$false|~ssItem(esk56_0)),inference(rw,[status(thm)],[1962,134,theory(equality)])).
% cnf(2004,negated_conjecture,(tl(esk50_0)=nil|esk50_0=nil|~ssItem(esk56_0)),inference(cn,[status(thm)],[2003,theory(equality)])).
% cnf(2049,negated_conjecture,(hd(esk50_0)=esk56_0|esk50_0=nil),inference(csr,[status(thm)],[2002,1908])).
% cnf(2068,negated_conjecture,(tl(esk50_0)=nil|esk50_0=nil),inference(csr,[status(thm)],[2004,1908])).
% cnf(3202,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)],[1644,133,theory(equality)])).
% cnf(3203,negated_conjecture,(X1=cons(esk52_0,esk54_0)|app(esk53_0,X1)!=esk50_0|~ssList(X1)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3202,582,theory(equality)])).
% cnf(3204,negated_conjecture,(X1=cons(esk52_0,esk54_0)|app(esk53_0,X1)!=esk50_0|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[3203,584,theory(equality)])).
% cnf(3205,negated_conjecture,(X1=cons(esk52_0,esk54_0)|app(esk53_0,X1)!=esk50_0|~ssList(X1)),inference(cn,[status(thm)],[3204,theory(equality)])).
% cnf(3206,negated_conjecture,(nil=cons(esk52_0,esk54_0)|esk53_0!=esk50_0|~ssList(nil)|~ssList(esk53_0)),inference(spm,[status(thm)],[3205,220,theory(equality)])).
% cnf(3207,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)|~ssList(app(cons(esk52_0,nil),esk54_0))),inference(spm,[status(thm)],[3205,1552,theory(equality)])).
% cnf(3209,negated_conjecture,(nil=cons(esk52_0,esk54_0)|esk53_0!=esk50_0|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[3206,134,theory(equality)])).
% cnf(3210,negated_conjecture,(nil=cons(esk52_0,esk54_0)|esk53_0!=esk50_0|$false|$false),inference(rw,[status(thm)],[3209,583,theory(equality)])).
% cnf(3211,negated_conjecture,(nil=cons(esk52_0,esk54_0)|esk53_0!=esk50_0),inference(cn,[status(thm)],[3210,theory(equality)])).
% cnf(3213,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)],[3207,159,theory(equality)])).
% cnf(3218,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)|$false|~ssList(cons(esk52_0,nil))),inference(rw,[status(thm)],[3213,582,theory(equality)])).
% cnf(3219,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[3218,theory(equality)])).
% cnf(3227,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[3219,133,theory(equality)])).
% cnf(3228,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3227,134,theory(equality)])).
% cnf(3229,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)|$false|$false),inference(rw,[status(thm)],[3228,584,theory(equality)])).
% cnf(3230,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)),inference(cn,[status(thm)],[3229,theory(equality)])).
% cnf(3232,negated_conjecture,(ssList(cons(esk52_0,esk54_0))|~ssList(esk54_0)|~ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[159,3230,theory(equality)])).
% cnf(3239,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)],[202,3230,theory(equality)])).
% cnf(3246,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)],[163,3230,theory(equality)])).
% cnf(3256,negated_conjecture,(ssList(cons(esk52_0,esk54_0))|$false|~ssList(cons(esk52_0,nil))),inference(rw,[status(thm)],[3232,582,theory(equality)])).
% cnf(3257,negated_conjecture,(ssList(cons(esk52_0,esk54_0))|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[3256,theory(equality)])).
% cnf(3270,negated_conjecture,(X1=esk54_0|app(cons(esk52_0,nil),X1)!=cons(esk52_0,esk54_0)|$false|~ssList(cons(esk52_0,nil))|~ssList(X1)),inference(rw,[status(thm)],[3239,582,theory(equality)])).
% cnf(3271,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)],[3270,theory(equality)])).
% cnf(3282,negated_conjecture,(cons(esk52_0,esk54_0)=cons(esk52_0,app(nil,esk54_0))|$false|~ssList(esk54_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[3246,134,theory(equality)])).
% cnf(3283,negated_conjecture,(cons(esk52_0,esk54_0)=cons(esk52_0,app(nil,esk54_0))|$false|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3282,582,theory(equality)])).
% cnf(3284,negated_conjecture,(cons(esk52_0,esk54_0)=cons(esk52_0,app(nil,esk54_0))|$false|$false|$false),inference(rw,[status(thm)],[3283,584,theory(equality)])).
% cnf(3285,negated_conjecture,(cons(esk52_0,esk54_0)=cons(esk52_0,app(nil,esk54_0))),inference(cn,[status(thm)],[3284,theory(equality)])).
% cnf(3286,negated_conjecture,(ssList(cons(esk52_0,esk54_0))|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[3257,133,theory(equality)])).
% cnf(3287,negated_conjecture,(ssList(cons(esk52_0,esk54_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3286,134,theory(equality)])).
% cnf(3288,negated_conjecture,(ssList(cons(esk52_0,esk54_0))|$false|$false),inference(rw,[status(thm)],[3287,584,theory(equality)])).
% cnf(3289,negated_conjecture,(ssList(cons(esk52_0,esk54_0))),inference(cn,[status(thm)],[3288,theory(equality)])).
% cnf(3295,negated_conjecture,(esk53_0=nil|esk50_0!=nil|$false),inference(rw,[status(thm)],[1627,3289,theory(equality)])).
% cnf(3296,negated_conjecture,(esk53_0=nil|esk50_0!=nil),inference(cn,[status(thm)],[3295,theory(equality)])).
% cnf(3308,negated_conjecture,(cons(esk52_0,esk54_0)!=nil|~ssList(app(nil,esk54_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[155,3285,theory(equality)])).
% cnf(3311,negated_conjecture,(hd(cons(esk52_0,esk54_0))=esk52_0|~ssList(app(nil,esk54_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[306,3285,theory(equality)])).
% cnf(3312,negated_conjecture,(tl(cons(esk52_0,esk54_0))=app(nil,esk54_0)|~ssList(app(nil,esk54_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[310,3285,theory(equality)])).
% cnf(3347,negated_conjecture,(cons(esk52_0,esk54_0)!=nil|~ssList(app(nil,esk54_0))|$false),inference(rw,[status(thm)],[3308,584,theory(equality)])).
% cnf(3348,negated_conjecture,(cons(esk52_0,esk54_0)!=nil|~ssList(app(nil,esk54_0))),inference(cn,[status(thm)],[3347,theory(equality)])).
% cnf(3354,negated_conjecture,(hd(cons(esk52_0,esk54_0))=esk52_0|~ssList(app(nil,esk54_0))|$false),inference(rw,[status(thm)],[3311,584,theory(equality)])).
% cnf(3355,negated_conjecture,(hd(cons(esk52_0,esk54_0))=esk52_0|~ssList(app(nil,esk54_0))),inference(cn,[status(thm)],[3354,theory(equality)])).
% cnf(3356,negated_conjecture,(tl(cons(esk52_0,esk54_0))=app(nil,esk54_0)|~ssList(app(nil,esk54_0))|$false),inference(rw,[status(thm)],[3312,584,theory(equality)])).
% cnf(3357,negated_conjecture,(tl(cons(esk52_0,esk54_0))=app(nil,esk54_0)|~ssList(app(nil,esk54_0))),inference(cn,[status(thm)],[3356,theory(equality)])).
% cnf(3439,negated_conjecture,(hd(cons(esk52_0,esk54_0))=esk52_0|~ssList(esk54_0)),inference(spm,[status(thm)],[3355,166,theory(equality)])).
% cnf(3441,negated_conjecture,(hd(cons(esk52_0,esk54_0))=esk52_0|$false),inference(rw,[status(thm)],[3439,582,theory(equality)])).
% cnf(3442,negated_conjecture,(hd(cons(esk52_0,esk54_0))=esk52_0),inference(cn,[status(thm)],[3441,theory(equality)])).
% cnf(3466,negated_conjecture,(tl(cons(esk52_0,esk54_0))=esk54_0|~ssList(esk54_0)),inference(spm,[status(thm)],[3357,166,theory(equality)])).
% cnf(3468,negated_conjecture,(tl(cons(esk52_0,esk54_0))=esk54_0|$false),inference(rw,[status(thm)],[3466,582,theory(equality)])).
% cnf(3469,negated_conjecture,(tl(cons(esk52_0,esk54_0))=esk54_0),inference(cn,[status(thm)],[3468,theory(equality)])).
% cnf(3475,negated_conjecture,(esk54_0=app(nil,esk54_0)|~ssList(app(nil,esk54_0))),inference(rw,[status(thm)],[3357,3469,theory(equality)])).
% cnf(3482,negated_conjecture,(app(nil,esk54_0)=esk54_0|~ssList(esk54_0)|~ssList(nil)),inference(spm,[status(thm)],[3475,159,theory(equality)])).
% cnf(3483,negated_conjecture,(app(nil,esk54_0)=esk54_0|$false|~ssList(nil)),inference(rw,[status(thm)],[3482,582,theory(equality)])).
% cnf(3484,negated_conjecture,(app(nil,esk54_0)=esk54_0|$false|$false),inference(rw,[status(thm)],[3483,134,theory(equality)])).
% cnf(3485,negated_conjecture,(app(nil,esk54_0)=esk54_0),inference(cn,[status(thm)],[3484,theory(equality)])).
% cnf(3506,negated_conjecture,(cons(esk52_0,esk54_0)!=nil|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[3348,3485,theory(equality)]),582,theory(equality)])).
% cnf(3507,negated_conjecture,(cons(esk52_0,esk54_0)!=nil),inference(cn,[status(thm)],[3506,theory(equality)])).
% cnf(3902,negated_conjecture,(X1=esk54_0|app(cons(esk52_0,nil),X1)!=cons(esk52_0,esk54_0)|~ssList(X1)|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[3271,133,theory(equality)])).
% cnf(3903,negated_conjecture,(X1=esk54_0|app(cons(esk52_0,nil),X1)!=cons(esk52_0,esk54_0)|~ssList(X1)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3902,134,theory(equality)])).
% cnf(3904,negated_conjecture,(X1=esk54_0|app(cons(esk52_0,nil),X1)!=cons(esk52_0,esk54_0)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[3903,584,theory(equality)])).
% cnf(3905,negated_conjecture,(X1=esk54_0|app(cons(esk52_0,nil),X1)!=cons(esk52_0,esk54_0)|~ssList(X1)),inference(cn,[status(thm)],[3904,theory(equality)])).
% cnf(3907,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)],[3905,163,theory(equality)])).
% cnf(3911,negated_conjecture,(X1=esk54_0|cons(esk52_0,app(nil,X1))!=cons(esk52_0,esk54_0)|~ssList(X1)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3907,134,theory(equality)])).
% cnf(3912,negated_conjecture,(X1=esk54_0|cons(esk52_0,app(nil,X1))!=cons(esk52_0,esk54_0)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[3911,584,theory(equality)])).
% cnf(3913,negated_conjecture,(X1=esk54_0|cons(esk52_0,app(nil,X1))!=cons(esk52_0,esk54_0)|~ssList(X1)),inference(cn,[status(thm)],[3912,theory(equality)])).
% cnf(3919,negated_conjecture,(nil=esk54_0|cons(esk52_0,nil)!=cons(esk52_0,esk54_0)|~ssList(nil)),inference(spm,[status(thm)],[3913,220,theory(equality)])).
% cnf(3922,negated_conjecture,(nil=esk54_0|cons(esk52_0,nil)!=cons(esk52_0,esk54_0)|$false),inference(rw,[status(thm)],[3919,134,theory(equality)])).
% cnf(3923,negated_conjecture,(nil=esk54_0|cons(esk52_0,nil)!=cons(esk52_0,esk54_0)),inference(cn,[status(thm)],[3922,theory(equality)])).
% cnf(3929,negated_conjecture,(app(tl(esk53_0),cons(esk52_0,esk54_0))=tl(esk50_0)|esk53_0=nil|$false),inference(rw,[status(thm)],[1634,3289,theory(equality)])).
% cnf(3930,negated_conjecture,(app(tl(esk53_0),cons(esk52_0,esk54_0))=tl(esk50_0)|esk53_0=nil),inference(cn,[status(thm)],[3929,theory(equality)])).
% cnf(3941,negated_conjecture,(nil=cons(esk52_0,esk54_0)|esk53_0=nil|tl(esk50_0)!=nil|~ssList(cons(esk52_0,esk54_0))|~ssList(tl(esk53_0))),inference(spm,[status(thm)],[217,3930,theory(equality)])).
% cnf(3973,negated_conjecture,(nil=cons(esk52_0,esk54_0)|esk53_0=nil|tl(esk50_0)!=nil|$false|~ssList(tl(esk53_0))),inference(rw,[status(thm)],[3941,3289,theory(equality)])).
% cnf(3974,negated_conjecture,(nil=cons(esk52_0,esk54_0)|esk53_0=nil|tl(esk50_0)!=nil|~ssList(tl(esk53_0))),inference(cn,[status(thm)],[3973,theory(equality)])).
% cnf(3975,negated_conjecture,(esk53_0=nil|tl(esk50_0)!=nil|~ssList(tl(esk53_0))),inference(sr,[status(thm)],[3974,3507,theory(equality)])).
% cnf(4001,negated_conjecture,(esk53_0=nil|esk50_0=nil|~ssList(tl(esk53_0))),inference(spm,[status(thm)],[3975,2068,theory(equality)])).
% cnf(4717,negated_conjecture,(esk53_0=nil|~ssList(tl(esk53_0))),inference(csr,[status(thm)],[4001,3296])).
% cnf(4718,negated_conjecture,(esk53_0=nil|~ssList(esk53_0)),inference(spm,[status(thm)],[4717,395,theory(equality)])).
% cnf(4719,negated_conjecture,(esk53_0=nil|$false),inference(rw,[status(thm)],[4718,583,theory(equality)])).
% cnf(4720,negated_conjecture,(esk53_0=nil),inference(cn,[status(thm)],[4719,theory(equality)])).
% cnf(4748,negated_conjecture,(cons(esk52_0,esk54_0)=nil|nil!=esk50_0),inference(rw,[status(thm)],[3211,4720,theory(equality)])).
% cnf(4749,negated_conjecture,(esk50_0!=nil),inference(sr,[status(thm)],[4748,3507,theory(equality)])).
% cnf(4752,negated_conjecture,(app(nil,cons(esk52_0,esk54_0))=esk50_0),inference(rw,[status(thm)],[1605,4720,theory(equality)])).
% cnf(4770,negated_conjecture,(memberP(esk54_0,esk55_0)|memberP(nil,esk55_0)),inference(rw,[status(thm)],[579,4720,theory(equality)])).
% cnf(4867,negated_conjecture,(cons(esk56_0,nil)=esk50_0),inference(sr,[status(thm)],[1957,4749,theory(equality)])).
% cnf(4868,negated_conjecture,(hd(esk50_0)=esk56_0),inference(sr,[status(thm)],[2049,4749,theory(equality)])).
% cnf(5042,negated_conjecture,(esk50_0=cons(esk52_0,esk54_0)|~ssList(cons(esk52_0,esk54_0))),inference(spm,[status(thm)],[166,4752,theory(equality)])).
% cnf(5106,negated_conjecture,(esk50_0=cons(esk52_0,esk54_0)|$false),inference(rw,[status(thm)],[5042,3289,theory(equality)])).
% cnf(5107,negated_conjecture,(esk50_0=cons(esk52_0,esk54_0)),inference(cn,[status(thm)],[5106,theory(equality)])).
% cnf(5208,negated_conjecture,(hd(esk50_0)=esk52_0),inference(rw,[status(thm)],[3442,5107,theory(equality)])).
% cnf(5216,negated_conjecture,(esk54_0=nil|esk50_0!=cons(esk52_0,nil)),inference(rw,[status(thm)],[3923,5107,theory(equality)])).
% cnf(5629,negated_conjecture,(esk56_0=esk52_0),inference(rw,[status(thm)],[5208,4868,theory(equality)])).
% cnf(5631,negated_conjecture,(cons(esk52_0,nil)=esk50_0),inference(rw,[status(thm)],[4867,5629,theory(equality)])).
% cnf(5686,negated_conjecture,(esk54_0=nil|$false),inference(rw,[status(thm)],[5216,5631,theory(equality)])).
% cnf(5687,negated_conjecture,(esk54_0=nil),inference(cn,[status(thm)],[5686,theory(equality)])).
% cnf(5822,negated_conjecture,(memberP(nil,esk55_0)|memberP(nil,esk55_0)),inference(rw,[status(thm)],[4770,5687,theory(equality)])).
% cnf(5823,negated_conjecture,(memberP(nil,esk55_0)),inference(cn,[status(thm)],[5822,theory(equality)])).
% cnf(5831,negated_conjecture,(~ssItem(esk55_0)),inference(spm,[status(thm)],[194,5823,theory(equality)])).
% cnf(5851,negated_conjecture,($false),inference(rw,[status(thm)],[5831,580,theory(equality)])).
% cnf(5852,negated_conjecture,($false),inference(cn,[status(thm)],[5851,theory(equality)])).
% cnf(5853,negated_conjecture,($false),5852,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 613
% # ...of these trivial : 22
% # ...subsumed : 149
% # ...remaining for further processing: 442
% # Other redundant clauses eliminated : 69
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 37
% # Backward-rewritten : 123
% # Generated clauses : 2044
% # ...of the previous two non-trivial : 1869
% # Contextual simplify-reflections : 125
% # Paramodulations : 1934
% # Factorizations : 0
% # Equation resolutions : 96
% # Current number of processed clauses: 262
% # Positive orientable unit clauses: 47
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 4
% # Non-unit-clauses : 211
% # Current number of unprocessed clauses: 695
% # ...number of literals in the above : 4535
% # Clause-clause subsumption calls (NU) : 3323
% # Rec. Clause-clause subsumption calls : 2186
% # Unit Clause-clause subsumption calls : 408
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 34
% # Indexed BW rewrite successes : 34
% # Backwards rewriting index: 291 leaves, 1.30+/-1.034 terms/leaf
% # Paramod-from index: 146 leaves, 1.00+/-0.000 terms/leaf
% # Paramod-into index: 257 leaves, 1.18+/-0.865 terms/leaf
% # -------------------------------------------------
% # User time : 0.154 s
% # System time : 0.004 s
% # Total time : 0.158 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.34 CPU 0.44 WC
% FINAL PrfWatch: 0.34 CPU 0.44 WC
% SZS output end Solution for /tmp/SystemOnTPTP15534/SWC284+1.tptp
%
%------------------------------------------------------------------------------