%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SWC298+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 : art01.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 07:43:05 EST 2010

% Result   : Theorem 3.07s
% Output   : Solution 3.07s
% 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/SystemOnTPTP28135/SWC298+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP28135/SWC298+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP28135/SWC298+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 28231
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time     : 0.031 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>(memberP(X1,X2)<=>?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&app(X3,cons(X2,X4))=X1))))),file('/tmp/SRASS.s.p', ax3)).
% fof(3, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>ssList(cons(X2,X1)))),file('/tmp/SRASS.s.p', ax16)).
% fof(4, axiom,ssList(nil),file('/tmp/SRASS.s.p', ax17)).
% fof(6, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssItem(X3)=>![X4]:(ssItem(X4)=>(cons(X3,X1)=cons(X4,X2)=>(X3=X4&X2=X1)))))),file('/tmp/SRASS.s.p', ax19)).
% fof(9, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>ssList(app(X1,X2)))),file('/tmp/SRASS.s.p', ax26)).
% fof(10, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssItem(X3)=>cons(X3,app(X2,X1))=app(cons(X3,X2),X1)))),file('/tmp/SRASS.s.p', ax27)).
% fof(15, axiom,![X1]:(ssItem(X1)=>![X2]:(ssItem(X2)=>(lt(X1,X2)=>~(lt(X2,X1))))),file('/tmp/SRASS.s.p', ax33)).
% fof(17, axiom,![X1]:(ssItem(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>(memberP(app(X2,X3),X1)<=>(memberP(X2,X1)|memberP(X3,X1)))))),file('/tmp/SRASS.s.p', ax36)).
% fof(18, axiom,![X1]:(ssItem(X1)=>![X2]:(ssItem(X2)=>![X3]:(ssList(X3)=>(memberP(cons(X2,X3),X1)<=>(X1=X2|memberP(X3,X1)))))),file('/tmp/SRASS.s.p', ax37)).
% fof(19, axiom,![X1]:(ssItem(X1)=>~(memberP(nil,X1))),file('/tmp/SRASS.s.p', ax38)).
% fof(20, 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(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(37, axiom,![X1]:(ssList(X1)=>(singletonP(X1)<=>?[X2]:(ssItem(X2)&cons(X2,nil)=X1))),file('/tmp/SRASS.s.p', ax4)).
% fof(40, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>hd(cons(X2,X1))=X2)),file('/tmp/SRASS.s.p', ax23)).
% fof(41, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>tl(cons(X2,X1))=X1)),file('/tmp/SRASS.s.p', ax25)).
% fof(43, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>ssItem(hd(X1)))),file('/tmp/SRASS.s.p', ax22)).
% fof(54, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(frontsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X2,X3)=X1)))),file('/tmp/SRASS.s.p', ax5)).
% fof(55, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(rearsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X3,X2)=X1)))),file('/tmp/SRASS.s.p', ax6)).
% fof(58, axiom,![X1]:(ssList(X1)=>(frontsegP(nil,X1)<=>nil=X1)),file('/tmp/SRASS.s.p', ax46)).
% fof(67, 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]:(ssItem(X6)=>![X7]:(ssList(X7)=>![X8]:(ssList(X8)=>![X9]:(ssList(X9)=>(~(app(app(app(app(X7,cons(X5,nil)),X8),cons(X6,nil)),X9)=X1)|~(lt(X6,X5)))))))))|(![X10]:(ssItem(X10)=>((~(cons(X10,nil)=X3)|~(memberP(X4,X10)))|?[X11]:(((ssItem(X11)&~(X10=X11))&memberP(X4,X11))&leq(X11,X10))))&(~(nil=X4)|~(nil=X3)))))))),file('/tmp/SRASS.s.p', co1)).
% fof(97, negated_conjecture,~(![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(ssList(X4)=>(((~(X2=X4)|~(X1=X3))|![X5]:(ssItem(X5)=>![X6]:(ssItem(X6)=>![X7]:(ssList(X7)=>![X8]:(ssList(X8)=>![X9]:(ssList(X9)=>(~(app(app(app(app(X7,cons(X5,nil)),X8),cons(X6,nil)),X9)=X1)|~(lt(X6,X5)))))))))|(![X10]:(ssItem(X10)=>((~(cons(X10,nil)=X3)|~(memberP(X4,X10)))|?[X11]:(((ssItem(X11)&~(X10=X11))&memberP(X4,X11))&leq(X11,X10))))&(~(nil=X4)|~(nil=X3))))))))),inference(assume_negation,[status(cth)],[96])).
% fof(98, plain,![X1]:(ssItem(X1)=>![X2]:(ssItem(X2)=>(lt(X1,X2)=>~(lt(X2,X1))))),inference(fof_simplification,[status(thm)],[15,theory(equality)])).
% fof(99, 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]:(ssItem(X6)=>![X7]:(ssList(X7)=>![X8]:(ssList(X8)=>![X9]:(ssList(X9)=>(~(app(app(app(app(X7,cons(X5,nil)),X8),cons(X6,nil)),X9)=X1)|~(lt(X6,X5)))))))))|(![X10]:(ssItem(X10)=>((~(cons(X10,nil)=X3)|~(memberP(X4,X10)))|?[X11]:(((ssItem(X11)&~(X10=X11))&memberP(X4,X11))&leq(X11,X10))))&(~(nil=X4)|~(nil=X3))))))))),inference(fof_simplification,[status(thm)],[97,theory(equality)])).
% fof(109, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|((~(memberP(X1,X2))|?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&app(X3,cons(X2,X4))=X1)))&(![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|~(app(X3,cons(X2,X4))=X1)))|memberP(X1,X2))))),inference(fof_nnf,[status(thm)],[2])).
% fof(110, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssItem(X6))|((~(memberP(X5,X6))|?[X7]:(ssList(X7)&?[X8]:(ssList(X8)&app(X7,cons(X6,X8))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(X9,cons(X6,X10))=X5)))|memberP(X5,X6))))),inference(variable_rename,[status(thm)],[109])).
% fof(111, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssItem(X6))|((~(memberP(X5,X6))|(ssList(esk3_2(X5,X6))&(ssList(esk4_2(X5,X6))&app(esk3_2(X5,X6),cons(X6,esk4_2(X5,X6)))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(X9,cons(X6,X10))=X5)))|memberP(X5,X6))))),inference(skolemize,[status(esa)],[110])).
% fof(112, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(X9,cons(X6,X10))=X5))|~(ssList(X9)))|memberP(X5,X6))&(~(memberP(X5,X6))|(ssList(esk3_2(X5,X6))&(ssList(esk4_2(X5,X6))&app(esk3_2(X5,X6),cons(X6,esk4_2(X5,X6)))=X5))))|~(ssItem(X6)))|~(ssList(X5))),inference(shift_quantors,[status(thm)],[111])).
% fof(113, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(X9,cons(X6,X10))=X5))|~(ssList(X9)))|memberP(X5,X6))|~(ssItem(X6)))|~(ssList(X5)))&((((ssList(esk3_2(X5,X6))|~(memberP(X5,X6)))|~(ssItem(X6)))|~(ssList(X5)))&((((ssList(esk4_2(X5,X6))|~(memberP(X5,X6)))|~(ssItem(X6)))|~(ssList(X5)))&(((app(esk3_2(X5,X6),cons(X6,esk4_2(X5,X6)))=X5|~(memberP(X5,X6)))|~(ssItem(X6)))|~(ssList(X5)))))),inference(distribute,[status(thm)],[112])).
% cnf(117,plain,(memberP(X1,X2)|~ssList(X1)|~ssItem(X2)|~ssList(X3)|app(X3,cons(X2,X4))!=X1|~ssList(X4)),inference(split_conjunct,[status(thm)],[113])).
% fof(118, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|ssList(cons(X2,X1)))),inference(fof_nnf,[status(thm)],[3])).
% fof(119, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|ssList(cons(X4,X3)))),inference(variable_rename,[status(thm)],[118])).
% fof(120, plain,![X3]:![X4]:((~(ssItem(X4))|ssList(cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[119])).
% cnf(121,plain,(ssList(cons(X2,X1))|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[120])).
% cnf(122,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[4])).
% fof(127, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssItem(X3))|![X4]:(~(ssItem(X4))|(~(cons(X3,X1)=cons(X4,X2))|(X3=X4&X2=X1)))))),inference(fof_nnf,[status(thm)],[6])).
% fof(128, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|![X7]:(~(ssItem(X7))|![X8]:(~(ssItem(X8))|(~(cons(X7,X5)=cons(X8,X6))|(X7=X8&X6=X5)))))),inference(variable_rename,[status(thm)],[127])).
% fof(129, plain,![X5]:![X6]:![X7]:![X8]:((((~(ssItem(X8))|(~(cons(X7,X5)=cons(X8,X6))|(X7=X8&X6=X5)))|~(ssItem(X7)))|~(ssList(X6)))|~(ssList(X5))),inference(shift_quantors,[status(thm)],[128])).
% fof(130, plain,![X5]:![X6]:![X7]:![X8]:((((((X7=X8|~(cons(X7,X5)=cons(X8,X6)))|~(ssItem(X8)))|~(ssItem(X7)))|~(ssList(X6)))|~(ssList(X5)))&(((((X6=X5|~(cons(X7,X5)=cons(X8,X6)))|~(ssItem(X8)))|~(ssItem(X7)))|~(ssList(X6)))|~(ssList(X5)))),inference(distribute,[status(thm)],[129])).
% cnf(132,plain,(X3=X4|~ssList(X1)|~ssList(X2)|~ssItem(X3)|~ssItem(X4)|cons(X3,X1)!=cons(X4,X2)),inference(split_conjunct,[status(thm)],[130])).
% fof(144, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|ssList(app(X1,X2)))),inference(fof_nnf,[status(thm)],[9])).
% fof(145, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|ssList(app(X3,X4)))),inference(variable_rename,[status(thm)],[144])).
% fof(146, plain,![X3]:![X4]:((~(ssList(X4))|ssList(app(X3,X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[145])).
% cnf(147,plain,(ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[146])).
% fof(148, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssItem(X3))|cons(X3,app(X2,X1))=app(cons(X3,X2),X1)))),inference(fof_nnf,[status(thm)],[10])).
% fof(149, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssItem(X6))|cons(X6,app(X5,X4))=app(cons(X6,X5),X4)))),inference(variable_rename,[status(thm)],[148])).
% fof(150, plain,![X4]:![X5]:![X6]:(((~(ssItem(X6))|cons(X6,app(X5,X4))=app(cons(X6,X5),X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[149])).
% cnf(151,plain,(cons(X3,app(X2,X1))=app(cons(X3,X2),X1)|~ssList(X1)|~ssList(X2)|~ssItem(X3)),inference(split_conjunct,[status(thm)],[150])).
% fof(166, plain,![X1]:(~(ssItem(X1))|![X2]:(~(ssItem(X2))|(~(lt(X1,X2))|~(lt(X2,X1))))),inference(fof_nnf,[status(thm)],[98])).
% fof(167, plain,![X3]:(~(ssItem(X3))|![X4]:(~(ssItem(X4))|(~(lt(X3,X4))|~(lt(X4,X3))))),inference(variable_rename,[status(thm)],[166])).
% fof(168, plain,![X3]:![X4]:((~(ssItem(X4))|(~(lt(X3,X4))|~(lt(X4,X3))))|~(ssItem(X3))),inference(shift_quantors,[status(thm)],[167])).
% cnf(169,plain,(~ssItem(X1)|~lt(X2,X1)|~lt(X1,X2)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[168])).
% fof(174, plain,![X1]:(~(ssItem(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|((~(memberP(app(X2,X3),X1))|(memberP(X2,X1)|memberP(X3,X1)))&((~(memberP(X2,X1))&~(memberP(X3,X1)))|memberP(app(X2,X3),X1)))))),inference(fof_nnf,[status(thm)],[17])).
% fof(175, plain,![X4]:(~(ssItem(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|((~(memberP(app(X5,X6),X4))|(memberP(X5,X4)|memberP(X6,X4)))&((~(memberP(X5,X4))&~(memberP(X6,X4)))|memberP(app(X5,X6),X4)))))),inference(variable_rename,[status(thm)],[174])).
% fof(176, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|((~(memberP(app(X5,X6),X4))|(memberP(X5,X4)|memberP(X6,X4)))&((~(memberP(X5,X4))&~(memberP(X6,X4)))|memberP(app(X5,X6),X4))))|~(ssList(X5)))|~(ssItem(X4))),inference(shift_quantors,[status(thm)],[175])).
% fof(177, plain,![X4]:![X5]:![X6]:(((((~(memberP(app(X5,X6),X4))|(memberP(X5,X4)|memberP(X6,X4)))|~(ssList(X6)))|~(ssList(X5)))|~(ssItem(X4)))&(((((~(memberP(X5,X4))|memberP(app(X5,X6),X4))|~(ssList(X6)))|~(ssList(X5)))|~(ssItem(X4)))&((((~(memberP(X6,X4))|memberP(app(X5,X6),X4))|~(ssList(X6)))|~(ssList(X5)))|~(ssItem(X4))))),inference(distribute,[status(thm)],[176])).
% cnf(179,plain,(memberP(app(X2,X3),X1)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|~memberP(X2,X1)),inference(split_conjunct,[status(thm)],[177])).
% fof(181, plain,![X1]:(~(ssItem(X1))|![X2]:(~(ssItem(X2))|![X3]:(~(ssList(X3))|((~(memberP(cons(X2,X3),X1))|(X1=X2|memberP(X3,X1)))&((~(X1=X2)&~(memberP(X3,X1)))|memberP(cons(X2,X3),X1)))))),inference(fof_nnf,[status(thm)],[18])).
% fof(182, plain,![X4]:(~(ssItem(X4))|![X5]:(~(ssItem(X5))|![X6]:(~(ssList(X6))|((~(memberP(cons(X5,X6),X4))|(X4=X5|memberP(X6,X4)))&((~(X4=X5)&~(memberP(X6,X4)))|memberP(cons(X5,X6),X4)))))),inference(variable_rename,[status(thm)],[181])).
% fof(183, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|((~(memberP(cons(X5,X6),X4))|(X4=X5|memberP(X6,X4)))&((~(X4=X5)&~(memberP(X6,X4)))|memberP(cons(X5,X6),X4))))|~(ssItem(X5)))|~(ssItem(X4))),inference(shift_quantors,[status(thm)],[182])).
% fof(184, plain,![X4]:![X5]:![X6]:(((((~(memberP(cons(X5,X6),X4))|(X4=X5|memberP(X6,X4)))|~(ssList(X6)))|~(ssItem(X5)))|~(ssItem(X4)))&(((((~(X4=X5)|memberP(cons(X5,X6),X4))|~(ssList(X6)))|~(ssItem(X5)))|~(ssItem(X4)))&((((~(memberP(X6,X4))|memberP(cons(X5,X6),X4))|~(ssList(X6)))|~(ssItem(X5)))|~(ssItem(X4))))),inference(distribute,[status(thm)],[183])).
% cnf(187,plain,(memberP(X3,X1)|X1=X2|~ssItem(X1)|~ssItem(X2)|~ssList(X3)|~memberP(cons(X2,X3),X1)),inference(split_conjunct,[status(thm)],[184])).
% fof(188, plain,![X1]:(~(ssItem(X1))|~(memberP(nil,X1))),inference(fof_nnf,[status(thm)],[99])).
% fof(189, plain,![X2]:(~(ssItem(X2))|~(memberP(nil,X2))),inference(variable_rename,[status(thm)],[188])).
% cnf(190,plain,(~memberP(nil,X1)|~ssItem(X1)),inference(split_conjunct,[status(thm)],[189])).
% fof(191, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X3,X2)=app(X1,X2))|X3=X1)))),inference(fof_nnf,[status(thm)],[20])).
% fof(192, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X6,X5)=app(X4,X5))|X6=X4)))),inference(variable_rename,[status(thm)],[191])).
% fof(193, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X6,X5)=app(X4,X5))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[192])).
% cnf(194,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X3,X2)!=app(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[193])).
% fof(199, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|cons(X2,X1)=app(cons(X2,nil),X1))),inference(fof_nnf,[status(thm)],[22])).
% fof(200, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))),inference(variable_rename,[status(thm)],[199])).
% fof(201, plain,![X3]:![X4]:((~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[200])).
% cnf(202,plain,(cons(X2,X1)=app(cons(X2,nil),X1)|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[201])).
% fof(203, 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(204, 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)],[203])).
% fof(205, 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)],[204])).
% cnf(206,plain,(app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X1)|~ssList(X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[205])).
% fof(207, 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(208, 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)],[207])).
% fof(209, 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)],[208])).
% fof(210, 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)],[209])).
% cnf(213,plain,(nil=X2|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[210])).
% fof(328, plain,![X1]:(~(ssList(X1))|((~(singletonP(X1))|?[X2]:(ssItem(X2)&cons(X2,nil)=X1))&(![X2]:(~(ssItem(X2))|~(cons(X2,nil)=X1))|singletonP(X1)))),inference(fof_nnf,[status(thm)],[37])).
% fof(329, plain,![X3]:(~(ssList(X3))|((~(singletonP(X3))|?[X4]:(ssItem(X4)&cons(X4,nil)=X3))&(![X5]:(~(ssItem(X5))|~(cons(X5,nil)=X3))|singletonP(X3)))),inference(variable_rename,[status(thm)],[328])).
% fof(330, plain,![X3]:(~(ssList(X3))|((~(singletonP(X3))|(ssItem(esk41_1(X3))&cons(esk41_1(X3),nil)=X3))&(![X5]:(~(ssItem(X5))|~(cons(X5,nil)=X3))|singletonP(X3)))),inference(skolemize,[status(esa)],[329])).
% fof(331, plain,![X3]:![X5]:((((~(ssItem(X5))|~(cons(X5,nil)=X3))|singletonP(X3))&(~(singletonP(X3))|(ssItem(esk41_1(X3))&cons(esk41_1(X3),nil)=X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[330])).
% fof(332, plain,![X3]:![X5]:((((~(ssItem(X5))|~(cons(X5,nil)=X3))|singletonP(X3))|~(ssList(X3)))&(((ssItem(esk41_1(X3))|~(singletonP(X3)))|~(ssList(X3)))&((cons(esk41_1(X3),nil)=X3|~(singletonP(X3)))|~(ssList(X3))))),inference(distribute,[status(thm)],[331])).
% cnf(333,plain,(cons(esk41_1(X1),nil)=X1|~ssList(X1)|~singletonP(X1)),inference(split_conjunct,[status(thm)],[332])).
% cnf(334,plain,(ssItem(esk41_1(X1))|~ssList(X1)|~singletonP(X1)),inference(split_conjunct,[status(thm)],[332])).
% cnf(335,plain,(singletonP(X1)|~ssList(X1)|cons(X2,nil)!=X1|~ssItem(X2)),inference(split_conjunct,[status(thm)],[332])).
% fof(344, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|hd(cons(X2,X1))=X2)),inference(fof_nnf,[status(thm)],[40])).
% fof(345, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|hd(cons(X4,X3))=X4)),inference(variable_rename,[status(thm)],[344])).
% fof(346, plain,![X3]:![X4]:((~(ssItem(X4))|hd(cons(X4,X3))=X4)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[345])).
% cnf(347,plain,(hd(cons(X2,X1))=X2|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[346])).
% fof(348, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|tl(cons(X2,X1))=X1)),inference(fof_nnf,[status(thm)],[41])).
% fof(349, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|tl(cons(X4,X3))=X3)),inference(variable_rename,[status(thm)],[348])).
% fof(350, plain,![X3]:![X4]:((~(ssItem(X4))|tl(cons(X4,X3))=X3)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[349])).
% cnf(351,plain,(tl(cons(X2,X1))=X1|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[350])).
% fof(359, plain,![X1]:(~(ssList(X1))|(nil=X1|ssItem(hd(X1)))),inference(fof_nnf,[status(thm)],[43])).
% fof(360, plain,![X2]:(~(ssList(X2))|(nil=X2|ssItem(hd(X2)))),inference(variable_rename,[status(thm)],[359])).
% cnf(361,plain,(ssItem(hd(X1))|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[360])).
% fof(407, 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)],[54])).
% fof(408, 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)],[407])).
% fof(409, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(frontsegP(X4,X5))|(ssList(esk43_2(X4,X5))&app(X5,esk43_2(X4,X5))=X4))&(![X7]:(~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))))),inference(skolemize,[status(esa)],[408])).
% fof(410, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))&(~(frontsegP(X4,X5))|(ssList(esk43_2(X4,X5))&app(X5,esk43_2(X4,X5))=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[409])).
% fof(411, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk43_2(X4,X5))|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(X5,esk43_2(X4,X5))=X4|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[410])).
% cnf(412,plain,(app(X2,esk43_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[411])).
% cnf(413,plain,(ssList(esk43_2(X1,X2))|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[411])).
% fof(415, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(rearsegP(X1,X2))|?[X3]:(ssList(X3)&app(X3,X2)=X1))&(![X3]:(~(ssList(X3))|~(app(X3,X2)=X1))|rearsegP(X1,X2))))),inference(fof_nnf,[status(thm)],[55])).
% fof(416, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(rearsegP(X4,X5))|?[X6]:(ssList(X6)&app(X6,X5)=X4))&(![X7]:(~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))))),inference(variable_rename,[status(thm)],[415])).
% fof(417, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(rearsegP(X4,X5))|(ssList(esk44_2(X4,X5))&app(esk44_2(X4,X5),X5)=X4))&(![X7]:(~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))))),inference(skolemize,[status(esa)],[416])).
% fof(418, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))&(~(rearsegP(X4,X5))|(ssList(esk44_2(X4,X5))&app(esk44_2(X4,X5),X5)=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[417])).
% fof(419, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk44_2(X4,X5))|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(esk44_2(X4,X5),X5)=X4|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[418])).
% cnf(420,plain,(app(esk44_2(X1,X2),X2)=X1|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[419])).
% cnf(421,plain,(ssList(esk44_2(X1,X2))|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[419])).
% cnf(422,plain,(rearsegP(X1,X2)|~ssList(X1)|~ssList(X2)|app(X3,X2)!=X1|~ssList(X3)),inference(split_conjunct,[status(thm)],[419])).
% fof(435, plain,![X1]:(~(ssList(X1))|((~(frontsegP(nil,X1))|nil=X1)&(~(nil=X1)|frontsegP(nil,X1)))),inference(fof_nnf,[status(thm)],[58])).
% fof(436, plain,![X2]:(~(ssList(X2))|((~(frontsegP(nil,X2))|nil=X2)&(~(nil=X2)|frontsegP(nil,X2)))),inference(variable_rename,[status(thm)],[435])).
% fof(437, plain,![X2]:(((~(frontsegP(nil,X2))|nil=X2)|~(ssList(X2)))&((~(nil=X2)|frontsegP(nil,X2))|~(ssList(X2)))),inference(distribute,[status(thm)],[436])).
% cnf(438,plain,(frontsegP(nil,X1)|~ssList(X1)|nil!=X1),inference(split_conjunct,[status(thm)],[437])).
% fof(480, plain,![X1]:(~(ssList(X1))|(nil=X1|cons(hd(X1),tl(X1))=X1)),inference(fof_nnf,[status(thm)],[67])).
% fof(481, plain,![X2]:(~(ssList(X2))|(nil=X2|cons(hd(X2),tl(X2))=X2)),inference(variable_rename,[status(thm)],[480])).
% cnf(482,plain,(cons(hd(X1),tl(X1))=X1|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[481])).
% fof(568, negated_conjecture,?[X1]:(ssList(X1)&?[X2]:(ssList(X2)&?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&(((X2=X4&X1=X3)&?[X5]:(ssItem(X5)&?[X6]:(ssItem(X6)&?[X7]:(ssList(X7)&?[X8]:(ssList(X8)&?[X9]:(ssList(X9)&(app(app(app(app(X7,cons(X5,nil)),X8),cons(X6,nil)),X9)=X1<(X6,X5))))))))&(?[X10]:(ssItem(X10)&((cons(X10,nil)=X3&memberP(X4,X10))&![X11]:(((~(ssItem(X11))|X10=X11)|~(memberP(X4,X11)))|~(leq(X11,X10)))))|(nil=X4&nil=X3))))))),inference(fof_nnf,[status(thm)],[103])).
% fof(569, negated_conjecture,?[X12]:(ssList(X12)&?[X13]:(ssList(X13)&?[X14]:(ssList(X14)&?[X15]:(ssList(X15)&(((X13=X15&X12=X14)&?[X16]:(ssItem(X16)&?[X17]:(ssItem(X17)&?[X18]:(ssList(X18)&?[X19]:(ssList(X19)&?[X20]:(ssList(X20)&(app(app(app(app(X18,cons(X16,nil)),X19),cons(X17,nil)),X20)=X12<(X17,X16))))))))&(?[X21]:(ssItem(X21)&((cons(X21,nil)=X14&memberP(X15,X21))&![X22]:(((~(ssItem(X22))|X21=X22)|~(memberP(X15,X22)))|~(leq(X22,X21)))))|(nil=X15&nil=X14))))))),inference(variable_rename,[status(thm)],[568])).
% fof(570, negated_conjecture,(ssList(esk48_0)&(ssList(esk49_0)&(ssList(esk50_0)&(ssList(esk51_0)&(((esk49_0=esk51_0&esk48_0=esk50_0)&(ssItem(esk52_0)&(ssItem(esk53_0)&(ssList(esk54_0)&(ssList(esk55_0)&(ssList(esk56_0)&(app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0)=esk48_0<(esk53_0,esk52_0))))))))&((ssItem(esk57_0)&((cons(esk57_0,nil)=esk50_0&memberP(esk51_0,esk57_0))&![X22]:(((~(ssItem(X22))|esk57_0=X22)|~(memberP(esk51_0,X22)))|~(leq(X22,esk57_0)))))|(nil=esk51_0&nil=esk50_0))))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,![X22]:(((((((((((~(ssItem(X22))|esk57_0=X22)|~(memberP(esk51_0,X22)))|~(leq(X22,esk57_0)))&(cons(esk57_0,nil)=esk50_0&memberP(esk51_0,esk57_0)))&ssItem(esk57_0))|(nil=esk51_0&nil=esk50_0))&((esk49_0=esk51_0&esk48_0=esk50_0)&(ssItem(esk52_0)&(ssItem(esk53_0)&(ssList(esk54_0)&(ssList(esk55_0)&(ssList(esk56_0)&(app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0)=esk48_0<(esk53_0,esk52_0)))))))))&ssList(esk51_0))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(shift_quantors,[status(thm)],[570])).
% fof(572, negated_conjecture,![X22]:(((((((((nil=esk51_0|(((~(ssItem(X22))|esk57_0=X22)|~(memberP(esk51_0,X22)))|~(leq(X22,esk57_0))))&(nil=esk50_0|(((~(ssItem(X22))|esk57_0=X22)|~(memberP(esk51_0,X22)))|~(leq(X22,esk57_0)))))&(((nil=esk51_0|cons(esk57_0,nil)=esk50_0)&(nil=esk50_0|cons(esk57_0,nil)=esk50_0))&((nil=esk51_0|memberP(esk51_0,esk57_0))&(nil=esk50_0|memberP(esk51_0,esk57_0)))))&((nil=esk51_0|ssItem(esk57_0))&(nil=esk50_0|ssItem(esk57_0))))&((esk49_0=esk51_0&esk48_0=esk50_0)&(ssItem(esk52_0)&(ssItem(esk53_0)&(ssList(esk54_0)&(ssList(esk55_0)&(ssList(esk56_0)&(app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0)=esk48_0<(esk53_0,esk52_0)))))))))&ssList(esk51_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(577,negated_conjecture,(lt(esk53_0,esk52_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(578,negated_conjecture,(app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0)=esk48_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(579,negated_conjecture,(ssList(esk56_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(580,negated_conjecture,(ssList(esk55_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(581,negated_conjecture,(ssList(esk54_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(582,negated_conjecture,(ssItem(esk53_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(583,negated_conjecture,(ssItem(esk52_0)),inference(split_conjunct,[status(thm)],[572])).
% cnf(584,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(586,negated_conjecture,(ssItem(esk57_0)|nil=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(590,negated_conjecture,(cons(esk57_0,nil)=esk50_0|nil=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(594,negated_conjecture,(ssList(esk50_0)),inference(rw,[status(thm)],[573,584,theory(equality)])).
% cnf(598,negated_conjecture,(app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0)=esk50_0),inference(rw,[status(thm)],[578,584,theory(equality)])).
% cnf(625,plain,(frontsegP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[438,theory(equality)])).
% cnf(626,plain,(frontsegP(nil,nil)|$false),inference(rw,[status(thm)],[625,122,theory(equality)])).
% cnf(627,plain,(frontsegP(nil,nil)),inference(cn,[status(thm)],[626,theory(equality)])).
% cnf(667,negated_conjecture,(~lt(esk52_0,esk53_0)|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[169,577,theory(equality)])).
% cnf(668,negated_conjecture,(~lt(esk52_0,esk53_0)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[667,582,theory(equality)])).
% cnf(669,negated_conjecture,(~lt(esk52_0,esk53_0)|$false|$false),inference(rw,[status(thm)],[668,583,theory(equality)])).
% cnf(670,negated_conjecture,(~lt(esk52_0,esk53_0)),inference(cn,[status(thm)],[669,theory(equality)])).
% cnf(674,plain,(singletonP(cons(X1,nil))|~ssList(cons(X1,nil))|~ssItem(X1)),inference(er,[status(thm)],[335,theory(equality)])).
% cnf(721,plain,(tl(X1)=nil|~ssList(nil)|~ssItem(esk41_1(X1))|~singletonP(X1)|~ssList(X1)),inference(spm,[status(thm)],[351,333,theory(equality)])).
% cnf(726,plain,(tl(X1)=nil|$false|~ssItem(esk41_1(X1))|~singletonP(X1)|~ssList(X1)),inference(rw,[status(thm)],[721,122,theory(equality)])).
% cnf(727,plain,(tl(X1)=nil|~ssItem(esk41_1(X1))|~singletonP(X1)|~ssList(X1)),inference(cn,[status(thm)],[726,theory(equality)])).
% cnf(732,negated_conjecture,(app(esk50_0,X1)=cons(esk57_0,X1)|esk50_0=nil|~ssList(X1)|~ssItem(esk57_0)),inference(spm,[status(thm)],[202,590,theory(equality)])).
% cnf(875,plain,(rearsegP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)|~ssList(app(X1,X2))),inference(er,[status(thm)],[422,theory(equality)])).
% cnf(906,negated_conjecture,(X1=esk57_0|esk50_0=nil|cons(X1,X2)!=esk50_0|~ssList(nil)|~ssList(X2)|~ssItem(esk57_0)|~ssItem(X1)),inference(spm,[status(thm)],[132,590,theory(equality)])).
% cnf(916,negated_conjecture,(X1=esk57_0|esk50_0=nil|cons(X1,X2)!=esk50_0|$false|~ssList(X2)|~ssItem(esk57_0)|~ssItem(X1)),inference(rw,[status(thm)],[906,122,theory(equality)])).
% cnf(917,negated_conjecture,(X1=esk57_0|esk50_0=nil|cons(X1,X2)!=esk50_0|~ssList(X2)|~ssItem(esk57_0)|~ssItem(X1)),inference(cn,[status(thm)],[916,theory(equality)])).
% cnf(955,plain,(memberP(app(X1,cons(X2,X3)),X2)|~ssList(X3)|~ssList(X1)|~ssList(app(X1,cons(X2,X3)))|~ssItem(X2)),inference(er,[status(thm)],[117,theory(equality)])).
% cnf(1062,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|~ssList(esk55_0)|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(spm,[status(thm)],[598,206,theory(equality)])).
% cnf(1073,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(rw,[status(thm)],[1062,580,theory(equality)])).
% cnf(1074,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[1073,581,theory(equality)])).
% cnf(1075,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[1074,theory(equality)])).
% cnf(1084,negated_conjecture,(X1=esk57_0|memberP(nil,X1)|esk50_0=nil|~memberP(esk50_0,X1)|~ssList(nil)|~ssItem(esk57_0)|~ssItem(X1)),inference(spm,[status(thm)],[187,590,theory(equality)])).
% cnf(1089,negated_conjecture,(X1=esk57_0|memberP(nil,X1)|esk50_0=nil|~memberP(esk50_0,X1)|$false|~ssItem(esk57_0)|~ssItem(X1)),inference(rw,[status(thm)],[1084,122,theory(equality)])).
% cnf(1090,negated_conjecture,(X1=esk57_0|memberP(nil,X1)|esk50_0=nil|~memberP(esk50_0,X1)|~ssItem(esk57_0)|~ssItem(X1)),inference(cn,[status(thm)],[1089,theory(equality)])).
% cnf(1619,plain,(ssList(esk43_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[413,627,theory(equality)])).
% cnf(1620,plain,(app(nil,esk43_2(nil,nil))=nil|~ssList(nil)),inference(spm,[status(thm)],[412,627,theory(equality)])).
% cnf(1623,plain,(ssList(esk43_2(nil,nil))|$false),inference(rw,[status(thm)],[1619,122,theory(equality)])).
% cnf(1624,plain,(ssList(esk43_2(nil,nil))),inference(cn,[status(thm)],[1623,theory(equality)])).
% cnf(1625,plain,(app(nil,esk43_2(nil,nil))=nil|$false),inference(rw,[status(thm)],[1620,122,theory(equality)])).
% cnf(1626,plain,(app(nil,esk43_2(nil,nil))=nil),inference(cn,[status(thm)],[1625,theory(equality)])).
% cnf(1692,plain,(nil=esk43_2(nil,nil)|~ssList(esk43_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[213,1626,theory(equality)])).
% cnf(1719,plain,(nil=esk43_2(nil,nil)|$false|~ssList(nil)),inference(rw,[status(thm)],[1692,1624,theory(equality)])).
% cnf(1720,plain,(nil=esk43_2(nil,nil)|$false|$false),inference(rw,[status(thm)],[1719,122,theory(equality)])).
% cnf(1721,plain,(nil=esk43_2(nil,nil)),inference(cn,[status(thm)],[1720,theory(equality)])).
% cnf(1734,plain,(app(nil,nil)=nil),inference(rw,[status(thm)],[1626,1721,theory(equality)])).
% cnf(1738,plain,(X1=nil|app(X1,nil)!=nil|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[194,1734,theory(equality)])).
% cnf(1752,plain,(X1=nil|app(X1,nil)!=nil|$false|~ssList(X1)),inference(rw,[status(thm)],[1738,122,theory(equality)])).
% cnf(1753,plain,(X1=nil|app(X1,nil)!=nil|~ssList(X1)),inference(cn,[status(thm)],[1752,theory(equality)])).
% cnf(2017,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1075,121,theory(equality)])).
% cnf(2018,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2017,122,theory(equality)])).
% cnf(2019,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|$false),inference(rw,[status(thm)],[2018,583,theory(equality)])).
% cnf(2020,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0),inference(cn,[status(thm)],[2019,theory(equality)])).
% cnf(2038,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[2020,202,theory(equality)])).
% cnf(2078,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2038,580,theory(equality)])).
% cnf(2079,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|$false),inference(rw,[status(thm)],[2078,583,theory(equality)])).
% cnf(2080,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0),inference(cn,[status(thm)],[2079,theory(equality)])).
% cnf(2097,negated_conjecture,(esk50_0=app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))|~ssList(esk56_0)|~ssList(cons(esk53_0,nil))|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))),inference(spm,[status(thm)],[206,2080,theory(equality)])).
% cnf(2099,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0|~ssList(cons(esk53_0,nil))|~ssList(cons(esk52_0,esk55_0))|~ssList(esk54_0)),inference(spm,[status(thm)],[2080,206,theory(equality)])).
% cnf(2129,negated_conjecture,(esk50_0=app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))|$false|~ssList(cons(esk53_0,nil))|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))),inference(rw,[status(thm)],[2097,579,theory(equality)])).
% cnf(2130,negated_conjecture,(esk50_0=app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))|~ssList(cons(esk53_0,nil))|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))),inference(cn,[status(thm)],[2129,theory(equality)])).
% cnf(2133,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0|~ssList(cons(esk53_0,nil))|~ssList(cons(esk52_0,esk55_0))|$false),inference(rw,[status(thm)],[2099,581,theory(equality)])).
% cnf(2134,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0|~ssList(cons(esk53_0,nil))|~ssList(cons(esk52_0,esk55_0))),inference(cn,[status(thm)],[2133,theory(equality)])).
% cnf(2191,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0|~ssList(cons(esk52_0,esk55_0))|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[2134,121,theory(equality)])).
% cnf(2192,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0|~ssList(cons(esk52_0,esk55_0))|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2191,122,theory(equality)])).
% cnf(2193,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0|~ssList(cons(esk52_0,esk55_0))|$false|$false),inference(rw,[status(thm)],[2192,582,theory(equality)])).
% cnf(2194,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0|~ssList(cons(esk52_0,esk55_0))),inference(cn,[status(thm)],[2193,theory(equality)])).
% cnf(2195,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[2194,121,theory(equality)])).
% cnf(2196,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2195,580,theory(equality)])).
% cnf(2197,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0|$false|$false),inference(rw,[status(thm)],[2196,583,theory(equality)])).
% cnf(2198,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0),inference(cn,[status(thm)],[2197,theory(equality)])).
% cnf(2215,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))),esk56_0)=esk50_0|~ssList(esk55_0)|~ssList(cons(esk53_0,nil))|~ssItem(esk52_0)),inference(spm,[status(thm)],[2198,151,theory(equality)])).
% cnf(2252,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))),esk56_0)=esk50_0|$false|~ssList(cons(esk53_0,nil))|~ssItem(esk52_0)),inference(rw,[status(thm)],[2215,580,theory(equality)])).
% cnf(2253,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))),esk56_0)=esk50_0|$false|~ssList(cons(esk53_0,nil))|$false),inference(rw,[status(thm)],[2252,583,theory(equality)])).
% cnf(2254,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))),esk56_0)=esk50_0|~ssList(cons(esk53_0,nil))),inference(cn,[status(thm)],[2253,theory(equality)])).
% cnf(2255,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))),esk56_0)=esk50_0|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[2254,121,theory(equality)])).
% cnf(2256,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))),esk56_0)=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2255,122,theory(equality)])).
% cnf(2257,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))),esk56_0)=esk50_0|$false|$false),inference(rw,[status(thm)],[2256,582,theory(equality)])).
% cnf(2258,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))),esk56_0)=esk50_0),inference(cn,[status(thm)],[2257,theory(equality)])).
% cnf(2273,negated_conjecture,(esk50_0=app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))|~ssList(esk56_0)|~ssList(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))))|~ssList(esk54_0)),inference(spm,[status(thm)],[206,2258,theory(equality)])).
% cnf(2305,negated_conjecture,(esk50_0=app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))|$false|~ssList(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))))|~ssList(esk54_0)),inference(rw,[status(thm)],[2273,579,theory(equality)])).
% cnf(2306,negated_conjecture,(esk50_0=app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))|$false|~ssList(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))))|$false),inference(rw,[status(thm)],[2305,581,theory(equality)])).
% cnf(2307,negated_conjecture,(esk50_0=app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))|~ssList(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))))),inference(cn,[status(thm)],[2306,theory(equality)])).
% cnf(2316,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))=esk50_0|~ssList(app(esk55_0,cons(esk53_0,nil)))|~ssItem(esk52_0)),inference(spm,[status(thm)],[2307,121,theory(equality)])).
% cnf(2317,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))=esk50_0|~ssList(app(esk55_0,cons(esk53_0,nil)))|$false),inference(rw,[status(thm)],[2316,583,theory(equality)])).
% cnf(2318,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))=esk50_0|~ssList(app(esk55_0,cons(esk53_0,nil)))),inference(cn,[status(thm)],[2317,theory(equality)])).
% cnf(2319,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))=esk50_0|~ssList(cons(esk53_0,nil))|~ssList(esk55_0)),inference(spm,[status(thm)],[2318,147,theory(equality)])).
% cnf(2320,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))=esk50_0|~ssList(cons(esk53_0,nil))|$false),inference(rw,[status(thm)],[2319,580,theory(equality)])).
% cnf(2321,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))=esk50_0|~ssList(cons(esk53_0,nil))),inference(cn,[status(thm)],[2320,theory(equality)])).
% cnf(2322,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))=esk50_0|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[2321,121,theory(equality)])).
% cnf(2323,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2322,122,theory(equality)])).
% cnf(2324,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[2323,582,theory(equality)])).
% cnf(2325,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))=esk50_0),inference(cn,[status(thm)],[2324,theory(equality)])).
% cnf(2340,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0|~ssList(app(esk55_0,cons(esk53_0,nil)))|~ssList(esk56_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[2325,151,theory(equality)])).
% cnf(2373,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0|~ssList(app(esk55_0,cons(esk53_0,nil)))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2340,579,theory(equality)])).
% cnf(2374,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0|~ssList(app(esk55_0,cons(esk53_0,nil)))|$false|$false),inference(rw,[status(thm)],[2373,583,theory(equality)])).
% cnf(2375,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0|~ssList(app(esk55_0,cons(esk53_0,nil)))),inference(cn,[status(thm)],[2374,theory(equality)])).
% cnf(2376,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0|~ssList(cons(esk53_0,nil))|~ssList(esk55_0)),inference(spm,[status(thm)],[2375,147,theory(equality)])).
% cnf(2377,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0|~ssList(cons(esk53_0,nil))|$false),inference(rw,[status(thm)],[2376,580,theory(equality)])).
% cnf(2378,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0|~ssList(cons(esk53_0,nil))),inference(cn,[status(thm)],[2377,theory(equality)])).
% cnf(2379,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[2378,121,theory(equality)])).
% cnf(2380,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2379,122,theory(equality)])).
% cnf(2381,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0|$false|$false),inference(rw,[status(thm)],[2380,582,theory(equality)])).
% cnf(2382,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0),inference(cn,[status(thm)],[2381,theory(equality)])).
% cnf(2403,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,app(cons(esk53_0,nil),esk56_0))))=esk50_0|~ssList(esk56_0)|~ssList(cons(esk53_0,nil))|~ssList(esk55_0)),inference(spm,[status(thm)],[2382,206,theory(equality)])).
% cnf(2453,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,app(cons(esk53_0,nil),esk56_0))))=esk50_0|$false|~ssList(cons(esk53_0,nil))|~ssList(esk55_0)),inference(rw,[status(thm)],[2403,579,theory(equality)])).
% cnf(2454,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,app(cons(esk53_0,nil),esk56_0))))=esk50_0|$false|~ssList(cons(esk53_0,nil))|$false),inference(rw,[status(thm)],[2453,580,theory(equality)])).
% cnf(2455,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,app(cons(esk53_0,nil),esk56_0))))=esk50_0|~ssList(cons(esk53_0,nil))),inference(cn,[status(thm)],[2454,theory(equality)])).
% cnf(2456,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,app(cons(esk53_0,nil),esk56_0))))=esk50_0|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[2455,121,theory(equality)])).
% cnf(2457,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,app(cons(esk53_0,nil),esk56_0))))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2456,122,theory(equality)])).
% cnf(2458,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,app(cons(esk53_0,nil),esk56_0))))=esk50_0|$false|$false),inference(rw,[status(thm)],[2457,582,theory(equality)])).
% cnf(2459,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,app(cons(esk53_0,nil),esk56_0))))=esk50_0),inference(cn,[status(thm)],[2458,theory(equality)])).
% cnf(2481,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))))=esk50_0|~ssList(esk56_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[2459,202,theory(equality)])).
% cnf(2534,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2481,579,theory(equality)])).
% cnf(2535,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))))=esk50_0|$false|$false),inference(rw,[status(thm)],[2534,582,theory(equality)])).
% cnf(2536,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))))=esk50_0),inference(cn,[status(thm)],[2535,theory(equality)])).
% cnf(2915,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[2130,121,theory(equality)])).
% cnf(2916,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2915,122,theory(equality)])).
% cnf(2917,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))|$false|$false),inference(rw,[status(thm)],[2916,582,theory(equality)])).
% cnf(2918,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))),inference(cn,[status(thm)],[2917,theory(equality)])).
% cnf(2919,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(cons(esk52_0,esk55_0))|~ssList(esk54_0)),inference(spm,[status(thm)],[2918,147,theory(equality)])).
% cnf(2920,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(cons(esk52_0,esk55_0))|$false),inference(rw,[status(thm)],[2919,581,theory(equality)])).
% cnf(2921,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(cons(esk52_0,esk55_0))),inference(cn,[status(thm)],[2920,theory(equality)])).
% cnf(2922,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[2921,121,theory(equality)])).
% cnf(2923,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2922,580,theory(equality)])).
% cnf(2924,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[2923,583,theory(equality)])).
% cnf(2925,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0),inference(cn,[status(thm)],[2924,theory(equality)])).
% cnf(2956,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,esk56_0))=esk50_0|~ssList(esk56_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[2925,202,theory(equality)])).
% cnf(2969,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,esk56_0))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2956,579,theory(equality)])).
% cnf(2970,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,esk56_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[2969,582,theory(equality)])).
% cnf(2971,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,esk56_0))=esk50_0),inference(cn,[status(thm)],[2970,theory(equality)])).
% cnf(5209,plain,(tl(X1)=nil|~singletonP(X1)|~ssList(X1)),inference(csr,[status(thm)],[727,334])).
% cnf(5903,negated_conjecture,(app(esk50_0,X1)=cons(esk57_0,X1)|esk50_0=nil|~ssList(X1)),inference(csr,[status(thm)],[732,586])).
% cnf(5913,negated_conjecture,(ssList(cons(esk57_0,X1))|esk50_0=nil|~ssList(X1)|~ssList(esk50_0)),inference(spm,[status(thm)],[147,5903,theory(equality)])).
% cnf(5945,negated_conjecture,(ssList(cons(esk57_0,X1))|esk50_0=nil|~ssList(X1)|$false),inference(rw,[status(thm)],[5913,594,theory(equality)])).
% cnf(5946,negated_conjecture,(ssList(cons(esk57_0,X1))|esk50_0=nil|~ssList(X1)),inference(cn,[status(thm)],[5945,theory(equality)])).
% cnf(6478,negated_conjecture,(singletonP(cons(esk57_0,nil))|esk50_0=nil|~ssItem(esk57_0)|~ssList(nil)),inference(spm,[status(thm)],[674,5946,theory(equality)])).
% cnf(6482,negated_conjecture,(singletonP(cons(esk57_0,nil))|esk50_0=nil|~ssItem(esk57_0)|$false),inference(rw,[status(thm)],[6478,122,theory(equality)])).
% cnf(6483,negated_conjecture,(singletonP(cons(esk57_0,nil))|esk50_0=nil|~ssItem(esk57_0)),inference(cn,[status(thm)],[6482,theory(equality)])).
% cnf(6491,negated_conjecture,(esk50_0=nil|singletonP(cons(esk57_0,nil))),inference(csr,[status(thm)],[6483,586])).
% cnf(6499,negated_conjecture,(tl(cons(esk57_0,nil))=nil|esk50_0=nil|~ssList(cons(esk57_0,nil))),inference(spm,[status(thm)],[5209,6491,theory(equality)])).
% cnf(6638,negated_conjecture,(tl(cons(esk57_0,nil))=nil|esk50_0=nil|~ssList(nil)),inference(spm,[status(thm)],[6499,5946,theory(equality)])).
% cnf(6645,negated_conjecture,(tl(cons(esk57_0,nil))=nil|esk50_0=nil|$false),inference(rw,[status(thm)],[6638,122,theory(equality)])).
% cnf(6646,negated_conjecture,(tl(cons(esk57_0,nil))=nil|esk50_0=nil),inference(cn,[status(thm)],[6645,theory(equality)])).
% cnf(6649,negated_conjecture,(cons(hd(cons(esk57_0,nil)),nil)=cons(esk57_0,nil)|nil=cons(esk57_0,nil)|esk50_0=nil|~ssList(cons(esk57_0,nil))),inference(spm,[status(thm)],[482,6646,theory(equality)])).
% cnf(7327,negated_conjecture,(esk50_0=nil|cons(esk57_0,nil)!=nil|~ssList(esk50_0)|~ssList(nil)),inference(spm,[status(thm)],[1753,5903,theory(equality)])).
% cnf(7333,negated_conjecture,(esk50_0=nil|cons(esk57_0,nil)!=nil|$false|~ssList(nil)),inference(rw,[status(thm)],[7327,594,theory(equality)])).
% cnf(7334,negated_conjecture,(esk50_0=nil|cons(esk57_0,nil)!=nil|$false|$false),inference(rw,[status(thm)],[7333,122,theory(equality)])).
% cnf(7335,negated_conjecture,(esk50_0=nil|cons(esk57_0,nil)!=nil),inference(cn,[status(thm)],[7334,theory(equality)])).
% cnf(9796,plain,(rearsegP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)),inference(csr,[status(thm)],[875,147])).
% cnf(9863,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))|~ssList(cons(esk53_0,esk56_0))),inference(spm,[status(thm)],[9796,2971,theory(equality)])).
% cnf(10449,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))|~ssList(esk56_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[9863,121,theory(equality)])).
% cnf(10450,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[10449,579,theory(equality)])).
% cnf(10451,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))|$false|$false),inference(rw,[status(thm)],[10450,582,theory(equality)])).
% cnf(10452,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))),inference(cn,[status(thm)],[10451,theory(equality)])).
% cnf(10453,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(cons(esk52_0,esk55_0))|~ssList(esk54_0)),inference(spm,[status(thm)],[10452,147,theory(equality)])).
% cnf(10454,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(cons(esk52_0,esk55_0))|$false),inference(rw,[status(thm)],[10453,581,theory(equality)])).
% cnf(10455,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(cons(esk52_0,esk55_0))),inference(cn,[status(thm)],[10454,theory(equality)])).
% cnf(10481,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[10455,121,theory(equality)])).
% cnf(10482,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[10481,580,theory(equality)])).
% cnf(10483,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|$false|$false),inference(rw,[status(thm)],[10482,583,theory(equality)])).
% cnf(10484,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))),inference(cn,[status(thm)],[10483,theory(equality)])).
% cnf(10485,negated_conjecture,(ssList(esk44_2(esk50_0,cons(esk53_0,esk56_0)))|~ssList(cons(esk53_0,esk56_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[421,10484,theory(equality)])).
% cnf(10486,negated_conjecture,(app(esk44_2(esk50_0,cons(esk53_0,esk56_0)),cons(esk53_0,esk56_0))=esk50_0|~ssList(cons(esk53_0,esk56_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[420,10484,theory(equality)])).
% cnf(10492,negated_conjecture,(ssList(esk44_2(esk50_0,cons(esk53_0,esk56_0)))|~ssList(cons(esk53_0,esk56_0))|$false),inference(rw,[status(thm)],[10485,594,theory(equality)])).
% cnf(10493,negated_conjecture,(ssList(esk44_2(esk50_0,cons(esk53_0,esk56_0)))|~ssList(cons(esk53_0,esk56_0))),inference(cn,[status(thm)],[10492,theory(equality)])).
% cnf(10494,negated_conjecture,(app(esk44_2(esk50_0,cons(esk53_0,esk56_0)),cons(esk53_0,esk56_0))=esk50_0|~ssList(cons(esk53_0,esk56_0))|$false),inference(rw,[status(thm)],[10486,594,theory(equality)])).
% cnf(10495,negated_conjecture,(app(esk44_2(esk50_0,cons(esk53_0,esk56_0)),cons(esk53_0,esk56_0))=esk50_0|~ssList(cons(esk53_0,esk56_0))),inference(cn,[status(thm)],[10494,theory(equality)])).
% cnf(10506,negated_conjecture,(ssList(esk44_2(esk50_0,cons(esk53_0,esk56_0)))|~ssList(esk56_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[10493,121,theory(equality)])).
% cnf(10507,negated_conjecture,(ssList(esk44_2(esk50_0,cons(esk53_0,esk56_0)))|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[10506,579,theory(equality)])).
% cnf(10508,negated_conjecture,(ssList(esk44_2(esk50_0,cons(esk53_0,esk56_0)))|$false|$false),inference(rw,[status(thm)],[10507,582,theory(equality)])).
% cnf(10509,negated_conjecture,(ssList(esk44_2(esk50_0,cons(esk53_0,esk56_0)))),inference(cn,[status(thm)],[10508,theory(equality)])).
% cnf(10557,negated_conjecture,(app(esk44_2(esk50_0,cons(esk53_0,esk56_0)),cons(esk53_0,esk56_0))=esk50_0|~ssList(esk56_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[10495,121,theory(equality)])).
% cnf(10558,negated_conjecture,(app(esk44_2(esk50_0,cons(esk53_0,esk56_0)),cons(esk53_0,esk56_0))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[10557,579,theory(equality)])).
% cnf(10559,negated_conjecture,(app(esk44_2(esk50_0,cons(esk53_0,esk56_0)),cons(esk53_0,esk56_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[10558,582,theory(equality)])).
% cnf(10560,negated_conjecture,(app(esk44_2(esk50_0,cons(esk53_0,esk56_0)),cons(esk53_0,esk56_0))=esk50_0),inference(cn,[status(thm)],[10559,theory(equality)])).
% cnf(10581,negated_conjecture,(memberP(X1,esk53_0)|esk50_0!=X1|~ssList(esk56_0)|~ssList(esk44_2(esk50_0,cons(esk53_0,esk56_0)))|~ssList(X1)|~ssItem(esk53_0)),inference(spm,[status(thm)],[117,10560,theory(equality)])).
% cnf(10630,negated_conjecture,(memberP(X1,esk53_0)|esk50_0!=X1|$false|~ssList(esk44_2(esk50_0,cons(esk53_0,esk56_0)))|~ssList(X1)|~ssItem(esk53_0)),inference(rw,[status(thm)],[10581,579,theory(equality)])).
% cnf(10631,negated_conjecture,(memberP(X1,esk53_0)|esk50_0!=X1|$false|$false|~ssList(X1)|~ssItem(esk53_0)),inference(rw,[status(thm)],[10630,10509,theory(equality)])).
% cnf(10632,negated_conjecture,(memberP(X1,esk53_0)|esk50_0!=X1|$false|$false|~ssList(X1)|$false),inference(rw,[status(thm)],[10631,582,theory(equality)])).
% cnf(10633,negated_conjecture,(memberP(X1,esk53_0)|esk50_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[10632,theory(equality)])).
% cnf(10833,negated_conjecture,(esk50_0=nil|X1=esk57_0|cons(X1,X2)!=esk50_0|~ssList(X2)|~ssItem(X1)),inference(csr,[status(thm)],[917,586])).
% cnf(11289,negated_conjecture,(cons(hd(cons(esk57_0,nil)),nil)=cons(esk57_0,nil)|esk50_0=nil|~ssList(cons(esk57_0,nil))),inference(csr,[status(thm)],[6649,7335])).
% cnf(11293,negated_conjecture,(cons(hd(cons(esk57_0,nil)),nil)=cons(esk57_0,nil)|esk50_0=nil|~ssList(nil)),inference(spm,[status(thm)],[11289,5946,theory(equality)])).
% cnf(11301,negated_conjecture,(cons(hd(cons(esk57_0,nil)),nil)=cons(esk57_0,nil)|esk50_0=nil|$false),inference(rw,[status(thm)],[11293,122,theory(equality)])).
% cnf(11302,negated_conjecture,(cons(hd(cons(esk57_0,nil)),nil)=cons(esk57_0,nil)|esk50_0=nil),inference(cn,[status(thm)],[11301,theory(equality)])).
% cnf(11309,negated_conjecture,(ssList(cons(esk57_0,nil))|esk50_0=nil|~ssList(nil)|~ssItem(hd(cons(esk57_0,nil)))),inference(spm,[status(thm)],[121,11302,theory(equality)])).
% cnf(11315,negated_conjecture,(esk50_0=nil|hd(cons(esk57_0,nil))=esk57_0|cons(esk57_0,nil)!=esk50_0|~ssList(nil)|~ssItem(hd(cons(esk57_0,nil)))),inference(spm,[status(thm)],[10833,11302,theory(equality)])).
% cnf(11363,negated_conjecture,(ssList(cons(esk57_0,nil))|esk50_0=nil|$false|~ssItem(hd(cons(esk57_0,nil)))),inference(rw,[status(thm)],[11309,122,theory(equality)])).
% cnf(11364,negated_conjecture,(ssList(cons(esk57_0,nil))|esk50_0=nil|~ssItem(hd(cons(esk57_0,nil)))),inference(cn,[status(thm)],[11363,theory(equality)])).
% cnf(11375,negated_conjecture,(esk50_0=nil|hd(cons(esk57_0,nil))=esk57_0|cons(esk57_0,nil)!=esk50_0|$false|~ssItem(hd(cons(esk57_0,nil)))),inference(rw,[status(thm)],[11315,122,theory(equality)])).
% cnf(11376,negated_conjecture,(esk50_0=nil|hd(cons(esk57_0,nil))=esk57_0|cons(esk57_0,nil)!=esk50_0|~ssItem(hd(cons(esk57_0,nil)))),inference(cn,[status(thm)],[11375,theory(equality)])).
% cnf(11439,negated_conjecture,(esk50_0=nil|ssList(cons(esk57_0,nil))|~ssItem(esk57_0)|~ssList(nil)),inference(spm,[status(thm)],[11364,347,theory(equality)])).
% cnf(11443,negated_conjecture,(esk50_0=nil|ssList(cons(esk57_0,nil))|~ssItem(esk57_0)|$false),inference(rw,[status(thm)],[11439,122,theory(equality)])).
% cnf(11444,negated_conjecture,(esk50_0=nil|ssList(cons(esk57_0,nil))|~ssItem(esk57_0)),inference(cn,[status(thm)],[11443,theory(equality)])).
% cnf(11445,negated_conjecture,(esk50_0=nil|ssList(cons(esk57_0,nil))),inference(csr,[status(thm)],[11444,586])).
% cnf(11464,negated_conjecture,(hd(cons(esk57_0,nil))=esk57_0|esk50_0=nil|~ssItem(hd(cons(esk57_0,nil)))),inference(csr,[status(thm)],[11376,590])).
% cnf(11467,negated_conjecture,(hd(cons(esk57_0,nil))=esk57_0|esk50_0=nil|nil=cons(esk57_0,nil)|~ssList(cons(esk57_0,nil))),inference(spm,[status(thm)],[11464,361,theory(equality)])).
% cnf(11473,negated_conjecture,(hd(cons(esk57_0,nil))=esk57_0|cons(esk57_0,nil)=nil|esk50_0=nil),inference(csr,[status(thm)],[11467,11445])).
% cnf(11474,negated_conjecture,(hd(cons(esk57_0,nil))=esk57_0|esk50_0=nil),inference(csr,[status(thm)],[11473,7335])).
% cnf(11476,negated_conjecture,(cons(esk57_0,tl(cons(esk57_0,nil)))=cons(esk57_0,nil)|nil=cons(esk57_0,nil)|esk50_0=nil|~ssList(cons(esk57_0,nil))),inference(spm,[status(thm)],[482,11474,theory(equality)])).
% cnf(11693,negated_conjecture,(cons(esk57_0,tl(cons(esk57_0,nil)))=cons(esk57_0,nil)|cons(esk57_0,nil)=nil|esk50_0=nil),inference(csr,[status(thm)],[11476,11445])).
% cnf(11694,negated_conjecture,(cons(esk57_0,tl(cons(esk57_0,nil)))=cons(esk57_0,nil)|esk50_0=nil),inference(csr,[status(thm)],[11693,7335])).
% cnf(11923,negated_conjecture,(memberP(esk50_0,esk53_0)|~ssList(esk50_0)),inference(er,[status(thm)],[10633,theory(equality)])).
% cnf(11924,negated_conjecture,(memberP(esk50_0,esk53_0)|$false),inference(rw,[status(thm)],[11923,594,theory(equality)])).
% cnf(11925,negated_conjecture,(memberP(esk50_0,esk53_0)),inference(cn,[status(thm)],[11924,theory(equality)])).
% cnf(11931,negated_conjecture,(memberP(app(esk50_0,X1),esk53_0)|~ssList(X1)|~ssList(esk50_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[179,11925,theory(equality)])).
% cnf(11947,negated_conjecture,(memberP(app(esk50_0,X1),esk53_0)|~ssList(X1)|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[11931,594,theory(equality)])).
% cnf(11948,negated_conjecture,(memberP(app(esk50_0,X1),esk53_0)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[11947,582,theory(equality)])).
% cnf(11949,negated_conjecture,(memberP(app(esk50_0,X1),esk53_0)|~ssList(X1)),inference(cn,[status(thm)],[11948,theory(equality)])).
% cnf(12204,negated_conjecture,(memberP(cons(esk57_0,X1),esk53_0)|esk50_0=nil|~ssList(X1)),inference(spm,[status(thm)],[11949,5903,theory(equality)])).
% cnf(12237,negated_conjecture,(esk50_0=nil|memberP(cons(esk57_0,nil),esk53_0)|~ssList(tl(cons(esk57_0,nil)))),inference(spm,[status(thm)],[12204,11694,theory(equality)])).
% cnf(12265,negated_conjecture,(esk50_0=nil|memberP(cons(esk57_0,nil),esk53_0)|~ssList(nil)),inference(spm,[status(thm)],[12237,6646,theory(equality)])).
% cnf(12272,negated_conjecture,(esk50_0=nil|memberP(cons(esk57_0,nil),esk53_0)|$false),inference(rw,[status(thm)],[12265,122,theory(equality)])).
% cnf(12273,negated_conjecture,(esk50_0=nil|memberP(cons(esk57_0,nil),esk53_0)),inference(cn,[status(thm)],[12272,theory(equality)])).
% cnf(12282,negated_conjecture,(esk53_0=esk57_0|memberP(nil,esk53_0)|esk50_0=nil|~ssList(nil)|~ssItem(esk57_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[187,12273,theory(equality)])).
% cnf(12297,negated_conjecture,(esk53_0=esk57_0|memberP(nil,esk53_0)|esk50_0=nil|$false|~ssItem(esk57_0)|~ssItem(esk53_0)),inference(rw,[status(thm)],[12282,122,theory(equality)])).
% cnf(12298,negated_conjecture,(esk53_0=esk57_0|memberP(nil,esk53_0)|esk50_0=nil|$false|~ssItem(esk57_0)|$false),inference(rw,[status(thm)],[12297,582,theory(equality)])).
% cnf(12299,negated_conjecture,(esk53_0=esk57_0|memberP(nil,esk53_0)|esk50_0=nil|~ssItem(esk57_0)),inference(cn,[status(thm)],[12298,theory(equality)])).
% cnf(12302,negated_conjecture,(esk53_0=esk57_0|esk50_0=nil|memberP(nil,esk53_0)),inference(csr,[status(thm)],[12299,586])).
% cnf(12309,negated_conjecture,(esk50_0=nil|esk53_0=esk57_0|~ssItem(esk53_0)),inference(spm,[status(thm)],[190,12302,theory(equality)])).
% cnf(12328,negated_conjecture,(esk50_0=nil|esk53_0=esk57_0|$false),inference(rw,[status(thm)],[12309,582,theory(equality)])).
% cnf(12329,negated_conjecture,(esk50_0=nil|esk53_0=esk57_0),inference(cn,[status(thm)],[12328,theory(equality)])).
% cnf(12331,negated_conjecture,(lt(esk57_0,esk52_0)|esk50_0=nil),inference(spm,[status(thm)],[577,12329,theory(equality)])).
% cnf(12334,negated_conjecture,(esk50_0=nil|~lt(esk52_0,esk57_0)),inference(spm,[status(thm)],[670,12329,theory(equality)])).
% cnf(13655,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(esk50_0)|~ssList(app(esk55_0,cons(esk53_0,esk56_0)))|~ssList(esk54_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[955,2536,theory(equality)])).
% cnf(13720,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|~ssList(app(esk55_0,cons(esk53_0,esk56_0)))|~ssList(esk54_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[13655,594,theory(equality)])).
% cnf(13721,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|~ssList(app(esk55_0,cons(esk53_0,esk56_0)))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[13720,581,theory(equality)])).
% cnf(13722,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|~ssList(app(esk55_0,cons(esk53_0,esk56_0)))|$false|$false),inference(rw,[status(thm)],[13721,583,theory(equality)])).
% cnf(13723,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(app(esk55_0,cons(esk53_0,esk56_0)))),inference(cn,[status(thm)],[13722,theory(equality)])).
% cnf(13833,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(cons(esk53_0,esk56_0))|~ssList(esk55_0)),inference(spm,[status(thm)],[13723,147,theory(equality)])).
% cnf(13834,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(cons(esk53_0,esk56_0))|$false),inference(rw,[status(thm)],[13833,580,theory(equality)])).
% cnf(13835,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(cons(esk53_0,esk56_0))),inference(cn,[status(thm)],[13834,theory(equality)])).
% cnf(13837,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(esk56_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[13835,121,theory(equality)])).
% cnf(13838,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[13837,579,theory(equality)])).
% cnf(13839,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|$false),inference(rw,[status(thm)],[13838,582,theory(equality)])).
% cnf(13840,negated_conjecture,(memberP(esk50_0,esk52_0)),inference(cn,[status(thm)],[13839,theory(equality)])).
% cnf(41358,negated_conjecture,(esk50_0=nil|X1=esk57_0|memberP(nil,X1)|~memberP(esk50_0,X1)|~ssItem(X1)),inference(csr,[status(thm)],[1090,586])).
% cnf(41359,negated_conjecture,(esk50_0=nil|X1=esk57_0|~memberP(esk50_0,X1)|~ssItem(X1)),inference(csr,[status(thm)],[41358,190])).
% cnf(41361,negated_conjecture,(esk50_0=nil|esk52_0=esk57_0|~ssItem(esk52_0)),inference(spm,[status(thm)],[41359,13840,theory(equality)])).
% cnf(41366,negated_conjecture,(esk50_0=nil|esk52_0=esk57_0|$false),inference(rw,[status(thm)],[41361,583,theory(equality)])).
% cnf(41367,negated_conjecture,(esk50_0=nil|esk52_0=esk57_0),inference(cn,[status(thm)],[41366,theory(equality)])).
% cnf(41515,negated_conjecture,(esk50_0=nil|lt(esk57_0,esk57_0)),inference(spm,[status(thm)],[12331,41367,theory(equality)])).
% cnf(41519,negated_conjecture,(esk50_0=nil|~lt(esk57_0,esk57_0)),inference(spm,[status(thm)],[12334,41367,theory(equality)])).
% cnf(42275,negated_conjecture,(esk50_0=nil),inference(csr,[status(thm)],[41515,41519])).
% cnf(42602,negated_conjecture,(memberP(nil,esk52_0)),inference(rw,[status(thm)],[13840,42275,theory(equality)])).
% cnf(43451,negated_conjecture,(~ssItem(esk52_0)),inference(spm,[status(thm)],[190,42602,theory(equality)])).
% cnf(43473,negated_conjecture,($false),inference(rw,[status(thm)],[43451,583,theory(equality)])).
% cnf(43474,negated_conjecture,($false),inference(cn,[status(thm)],[43473,theory(equality)])).
% cnf(43475,negated_conjecture,($false),43474,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 2456
% # ...of these trivial                : 86
% # ...subsumed                        : 1000
% # ...remaining for further processing: 1370
% # Other redundant clauses eliminated : 140
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 214
% # Backward-rewritten                 : 819
% # Generated clauses                  : 16370
% # ...of the previous two non-trivial : 15359
% # Contextual simplify-reflections    : 942
% # Paramodulations                    : 16178
% # Factorizations                     : 0
% # Equation resolutions               : 192
% # Current number of processed clauses: 331
% #    Positive orientable unit clauses: 32
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 4
% #    Non-unit-clauses                : 295
% # Current number of unprocessed clauses: 2825
% # ...number of literals in the above : 17713
% # Clause-clause subsumption calls (NU) : 121474
% # Rec. Clause-clause subsumption calls : 89198
% # Unit Clause-clause subsumption calls : 2422
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 256
% # Indexed BW rewrite successes       : 62
% # Backwards rewriting index:   323 leaves,   1.38+/-1.160 terms/leaf
% # Paramod-from index:          169 leaves,   1.00+/-0.000 terms/leaf
% # Paramod-into index:          287 leaves,   1.24+/-1.026 terms/leaf
% # -------------------------------------------------
% # User time              : 1.002 s
% # System time            : 0.029 s
% # Total time             : 1.031 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.78 CPU 1.87 WC
% FINAL PrfWatch: 1.78 CPU 1.87 WC
% SZS output end Solution for /tmp/SystemOnTPTP28135/SWC298+1.tptp
% 
%------------------------------------------------------------------------------