%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SWC306+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art06.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Thu Dec 30 07:44:43 EST 2010

% Result   : Theorem 2.87s
% Output   : Solution 2.87s
% 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/SystemOnTPTP7050/SWC306+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP7050/SWC306+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP7050/SWC306+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 7146
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 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(12, axiom,![X1]:(ssItem(X1)=>![X2]:(ssItem(X2)=>(lt(X1,X2)=>~(lt(X2,X1))))),file('/tmp/SRASS.s.p', ax33)).
% fof(14, 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(15, 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(16, axiom,![X1]:(ssItem(X1)=>~(memberP(nil,X1))),file('/tmp/SRASS.s.p', ax38)).
% fof(17, 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(19, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>cons(X2,X1)=app(cons(X2,nil),X1))),file('/tmp/SRASS.s.p', ax81)).
% fof(20, 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(21, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(nil=app(X1,X2)<=>(nil=X2&nil=X1)))),file('/tmp/SRASS.s.p', ax83)).
% fof(28, axiom,![X1]:(ssList(X1)=>(singletonP(X1)<=>?[X2]:(ssItem(X2)&cons(X2,nil)=X1))),file('/tmp/SRASS.s.p', ax4)).
% fof(31, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>hd(cons(X2,X1))=X2)),file('/tmp/SRASS.s.p', ax23)).
% fof(32, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>tl(cons(X2,X1))=X1)),file('/tmp/SRASS.s.p', ax25)).
% fof(34, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>ssItem(hd(X1)))),file('/tmp/SRASS.s.p', ax22)).
% fof(46, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(frontsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X2,X3)=X1)))),file('/tmp/SRASS.s.p', ax5)).
% fof(47, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(rearsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X3,X2)=X1)))),file('/tmp/SRASS.s.p', ax6)).
% fof(51, axiom,![X1]:(ssList(X1)=>(frontsegP(nil,X1)<=>nil=X1)),file('/tmp/SRASS.s.p', ax46)).
% fof(62, 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))))&(~(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))))&(~(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)],[12,theory(equality)])).
% fof(99, plain,![X1]:(ssItem(X1)=>~(memberP(nil,X1))),inference(fof_simplification,[status(thm)],[16,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))))&(~(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(155, plain,![X1]:(~(ssItem(X1))|![X2]:(~(ssItem(X2))|(~(lt(X1,X2))|~(lt(X2,X1))))),inference(fof_nnf,[status(thm)],[98])).
% fof(156, plain,![X3]:(~(ssItem(X3))|![X4]:(~(ssItem(X4))|(~(lt(X3,X4))|~(lt(X4,X3))))),inference(variable_rename,[status(thm)],[155])).
% fof(157, plain,![X3]:![X4]:((~(ssItem(X4))|(~(lt(X3,X4))|~(lt(X4,X3))))|~(ssItem(X3))),inference(shift_quantors,[status(thm)],[156])).
% cnf(158,plain,(~ssItem(X1)|~lt(X2,X1)|~lt(X1,X2)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[157])).
% fof(163, 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)],[14])).
% fof(164, 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)],[163])).
% fof(165, 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)],[164])).
% fof(166, 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)],[165])).
% cnf(168,plain,(memberP(app(X2,X3),X1)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|~memberP(X2,X1)),inference(split_conjunct,[status(thm)],[166])).
% fof(170, 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)],[15])).
% fof(171, 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)],[170])).
% fof(172, 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)],[171])).
% fof(173, 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)],[172])).
% cnf(176,plain,(memberP(X3,X1)|X1=X2|~ssItem(X1)|~ssItem(X2)|~ssList(X3)|~memberP(cons(X2,X3),X1)),inference(split_conjunct,[status(thm)],[173])).
% fof(177, plain,![X1]:(~(ssItem(X1))|~(memberP(nil,X1))),inference(fof_nnf,[status(thm)],[99])).
% fof(178, plain,![X2]:(~(ssItem(X2))|~(memberP(nil,X2))),inference(variable_rename,[status(thm)],[177])).
% cnf(179,plain,(~memberP(nil,X1)|~ssItem(X1)),inference(split_conjunct,[status(thm)],[178])).
% fof(180, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X3,X2)=app(X1,X2))|X3=X1)))),inference(fof_nnf,[status(thm)],[17])).
% fof(181, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X6,X5)=app(X4,X5))|X6=X4)))),inference(variable_rename,[status(thm)],[180])).
% fof(182, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X6,X5)=app(X4,X5))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[181])).
% cnf(183,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X3,X2)!=app(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[182])).
% fof(188, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|cons(X2,X1)=app(cons(X2,nil),X1))),inference(fof_nnf,[status(thm)],[19])).
% fof(189, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))),inference(variable_rename,[status(thm)],[188])).
% fof(190, plain,![X3]:![X4]:((~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[189])).
% cnf(191,plain,(cons(X2,X1)=app(cons(X2,nil),X1)|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[190])).
% fof(192, 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)],[20])).
% fof(193, 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)],[192])).
% fof(194, 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)],[193])).
% cnf(195,plain,(app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X1)|~ssList(X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[194])).
% fof(196, 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)],[21])).
% fof(197, 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)],[196])).
% fof(198, 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)],[197])).
% fof(199, 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)],[198])).
% cnf(202,plain,(nil=X2|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[199])).
% fof(261, 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)],[28])).
% fof(262, 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)],[261])).
% fof(263, plain,![X3]:(~(ssList(X3))|((~(singletonP(X3))|(ssItem(esk26_1(X3))&cons(esk26_1(X3),nil)=X3))&(![X5]:(~(ssItem(X5))|~(cons(X5,nil)=X3))|singletonP(X3)))),inference(skolemize,[status(esa)],[262])).
% fof(264, plain,![X3]:![X5]:((((~(ssItem(X5))|~(cons(X5,nil)=X3))|singletonP(X3))&(~(singletonP(X3))|(ssItem(esk26_1(X3))&cons(esk26_1(X3),nil)=X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[263])).
% fof(265, plain,![X3]:![X5]:((((~(ssItem(X5))|~(cons(X5,nil)=X3))|singletonP(X3))|~(ssList(X3)))&(((ssItem(esk26_1(X3))|~(singletonP(X3)))|~(ssList(X3)))&((cons(esk26_1(X3),nil)=X3|~(singletonP(X3)))|~(ssList(X3))))),inference(distribute,[status(thm)],[264])).
% cnf(266,plain,(cons(esk26_1(X1),nil)=X1|~ssList(X1)|~singletonP(X1)),inference(split_conjunct,[status(thm)],[265])).
% cnf(267,plain,(ssItem(esk26_1(X1))|~ssList(X1)|~singletonP(X1)),inference(split_conjunct,[status(thm)],[265])).
% cnf(268,plain,(singletonP(X1)|~ssList(X1)|cons(X2,nil)!=X1|~ssItem(X2)),inference(split_conjunct,[status(thm)],[265])).
% fof(277, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|hd(cons(X2,X1))=X2)),inference(fof_nnf,[status(thm)],[31])).
% fof(278, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|hd(cons(X4,X3))=X4)),inference(variable_rename,[status(thm)],[277])).
% fof(279, plain,![X3]:![X4]:((~(ssItem(X4))|hd(cons(X4,X3))=X4)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[278])).
% cnf(280,plain,(hd(cons(X2,X1))=X2|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[279])).
% fof(281, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|tl(cons(X2,X1))=X1)),inference(fof_nnf,[status(thm)],[32])).
% fof(282, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|tl(cons(X4,X3))=X3)),inference(variable_rename,[status(thm)],[281])).
% fof(283, plain,![X3]:![X4]:((~(ssItem(X4))|tl(cons(X4,X3))=X3)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[282])).
% cnf(284,plain,(tl(cons(X2,X1))=X1|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[283])).
% fof(292, plain,![X1]:(~(ssList(X1))|(nil=X1|ssItem(hd(X1)))),inference(fof_nnf,[status(thm)],[34])).
% fof(293, plain,![X2]:(~(ssList(X2))|(nil=X2|ssItem(hd(X2)))),inference(variable_rename,[status(thm)],[292])).
% cnf(294,plain,(ssItem(hd(X1))|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[293])).
% fof(342, 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)],[46])).
% fof(343, 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)],[342])).
% fof(344, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(frontsegP(X4,X5))|(ssList(esk28_2(X4,X5))&app(X5,esk28_2(X4,X5))=X4))&(![X7]:(~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))))),inference(skolemize,[status(esa)],[343])).
% fof(345, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))&(~(frontsegP(X4,X5))|(ssList(esk28_2(X4,X5))&app(X5,esk28_2(X4,X5))=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[344])).
% fof(346, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk28_2(X4,X5))|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(X5,esk28_2(X4,X5))=X4|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[345])).
% cnf(347,plain,(app(X2,esk28_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[346])).
% cnf(348,plain,(ssList(esk28_2(X1,X2))|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[346])).
% fof(350, 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)],[47])).
% fof(351, 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)],[350])).
% fof(352, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(rearsegP(X4,X5))|(ssList(esk29_2(X4,X5))&app(esk29_2(X4,X5),X5)=X4))&(![X7]:(~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))))),inference(skolemize,[status(esa)],[351])).
% fof(353, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))&(~(rearsegP(X4,X5))|(ssList(esk29_2(X4,X5))&app(esk29_2(X4,X5),X5)=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[352])).
% fof(354, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk29_2(X4,X5))|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(esk29_2(X4,X5),X5)=X4|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[353])).
% cnf(355,plain,(app(esk29_2(X1,X2),X2)=X1|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[354])).
% cnf(356,plain,(ssList(esk29_2(X1,X2))|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[354])).
% cnf(357,plain,(rearsegP(X1,X2)|~ssList(X1)|~ssList(X2)|app(X3,X2)!=X1|~ssList(X3)),inference(split_conjunct,[status(thm)],[354])).
% fof(374, plain,![X1]:(~(ssList(X1))|((~(frontsegP(nil,X1))|nil=X1)&(~(nil=X1)|frontsegP(nil,X1)))),inference(fof_nnf,[status(thm)],[51])).
% fof(375, plain,![X2]:(~(ssList(X2))|((~(frontsegP(nil,X2))|nil=X2)&(~(nil=X2)|frontsegP(nil,X2)))),inference(variable_rename,[status(thm)],[374])).
% fof(376, plain,![X2]:(((~(frontsegP(nil,X2))|nil=X2)|~(ssList(X2)))&((~(nil=X2)|frontsegP(nil,X2))|~(ssList(X2)))),inference(distribute,[status(thm)],[375])).
% cnf(377,plain,(frontsegP(nil,X1)|~ssList(X1)|nil!=X1),inference(split_conjunct,[status(thm)],[376])).
% fof(454, plain,![X1]:(~(ssList(X1))|(nil=X1|cons(hd(X1),tl(X1))=X1)),inference(fof_nnf,[status(thm)],[62])).
% fof(455, plain,![X2]:(~(ssList(X2))|(nil=X2|cons(hd(X2),tl(X2))=X2)),inference(variable_rename,[status(thm)],[454])).
% cnf(456,plain,(cons(hd(X1),tl(X1))=X1|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[455])).
% 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)))|(nil=X4&nil=X3))))))),inference(fof_nnf,[status(thm)],[103])).
% fof(569, negated_conjecture,?[X11]:(ssList(X11)&?[X12]:(ssList(X12)&?[X13]:(ssList(X13)&?[X14]:(ssList(X14)&(((X12=X14&X11=X13)&?[X15]:(ssItem(X15)&?[X16]:(ssItem(X16)&?[X17]:(ssList(X17)&?[X18]:(ssList(X18)&?[X19]:(ssList(X19)&(app(app(app(app(X17,cons(X15,nil)),X18),cons(X16,nil)),X19)=X11<(X16,X15))))))))&(?[X20]:(ssItem(X20)&(cons(X20,nil)=X13&memberP(X14,X20)))|(nil=X14&nil=X13))))))),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)))|(nil=esk51_0&nil=esk50_0))))))),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)&(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))))))))&(((nil=esk51_0|ssItem(esk57_0))&(nil=esk50_0|ssItem(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)))))))))),inference(distribute,[status(thm)],[570])).
% cnf(574,negated_conjecture,(cons(esk57_0,nil)=esk50_0|nil=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(576,negated_conjecture,(ssItem(esk57_0)|nil=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(578,negated_conjecture,(lt(esk53_0,esk52_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(579,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)],[571])).
% cnf(580,negated_conjecture,(ssList(esk56_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(581,negated_conjecture,(ssList(esk55_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(582,negated_conjecture,(ssList(esk54_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(583,negated_conjecture,(ssItem(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(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(595,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)],[579,585,theory(equality)])).
% cnf(622,plain,(frontsegP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[377,theory(equality)])).
% cnf(623,plain,(frontsegP(nil,nil)|$false),inference(rw,[status(thm)],[622,122,theory(equality)])).
% cnf(624,plain,(frontsegP(nil,nil)),inference(cn,[status(thm)],[623,theory(equality)])).
% cnf(664,negated_conjecture,(~lt(esk52_0,esk53_0)|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[158,578,theory(equality)])).
% cnf(665,negated_conjecture,(~lt(esk52_0,esk53_0)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[664,583,theory(equality)])).
% cnf(666,negated_conjecture,(~lt(esk52_0,esk53_0)|$false|$false),inference(rw,[status(thm)],[665,584,theory(equality)])).
% cnf(667,negated_conjecture,(~lt(esk52_0,esk53_0)),inference(cn,[status(thm)],[666,theory(equality)])).
% cnf(671,plain,(singletonP(cons(X1,nil))|~ssList(cons(X1,nil))|~ssItem(X1)),inference(er,[status(thm)],[268,theory(equality)])).
% cnf(714,plain,(tl(X1)=nil|~ssList(nil)|~ssItem(esk26_1(X1))|~singletonP(X1)|~ssList(X1)),inference(spm,[status(thm)],[284,266,theory(equality)])).
% cnf(719,plain,(tl(X1)=nil|$false|~ssItem(esk26_1(X1))|~singletonP(X1)|~ssList(X1)),inference(rw,[status(thm)],[714,122,theory(equality)])).
% cnf(720,plain,(tl(X1)=nil|~ssItem(esk26_1(X1))|~singletonP(X1)|~ssList(X1)),inference(cn,[status(thm)],[719,theory(equality)])).
% cnf(724,negated_conjecture,(app(esk50_0,X1)=cons(esk57_0,X1)|esk50_0=nil|~ssList(X1)|~ssItem(esk57_0)),inference(spm,[status(thm)],[191,574,theory(equality)])).
% cnf(857,plain,(rearsegP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)|~ssList(app(X1,X2))),inference(er,[status(thm)],[357,theory(equality)])).
% cnf(892,negated_conjecture,(X1=esk57_0|esk50_0=nil|cons(X1,X2)!=esk50_0|~ssList(nil)|~ssList(X2)|~ssItem(esk57_0)|~ssItem(X1)),inference(spm,[status(thm)],[132,574,theory(equality)])).
% cnf(902,negated_conjecture,(X1=esk57_0|esk50_0=nil|cons(X1,X2)!=esk50_0|$false|~ssList(X2)|~ssItem(esk57_0)|~ssItem(X1)),inference(rw,[status(thm)],[892,122,theory(equality)])).
% cnf(903,negated_conjecture,(X1=esk57_0|esk50_0=nil|cons(X1,X2)!=esk50_0|~ssList(X2)|~ssItem(esk57_0)|~ssItem(X1)),inference(cn,[status(thm)],[902,theory(equality)])).
% cnf(947,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(1042,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(esk56_0)|~ssList(cons(esk53_0,nil))|~ssList(app(app(esk54_0,cons(esk52_0,nil)),esk55_0))),inference(spm,[status(thm)],[595,195,theory(equality)])).
% cnf(1043,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)],[595,195,theory(equality)])).
% cnf(1052,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|$false|~ssList(cons(esk53_0,nil))|~ssList(app(app(esk54_0,cons(esk52_0,nil)),esk55_0))),inference(rw,[status(thm)],[1042,580,theory(equality)])).
% cnf(1053,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(cons(esk53_0,nil))|~ssList(app(app(esk54_0,cons(esk52_0,nil)),esk55_0))),inference(cn,[status(thm)],[1052,theory(equality)])).
% cnf(1054,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(rw,[status(thm)],[1043,581,theory(equality)])).
% cnf(1055,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)],[1054,582,theory(equality)])).
% cnf(1056,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)],[1055,theory(equality)])).
% cnf(1076,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)],[176,574,theory(equality)])).
% cnf(1081,negated_conjecture,(X1=esk57_0|memberP(nil,X1)|esk50_0=nil|~memberP(esk50_0,X1)|$false|~ssItem(esk57_0)|~ssItem(X1)),inference(rw,[status(thm)],[1076,122,theory(equality)])).
% cnf(1082,negated_conjecture,(X1=esk57_0|memberP(nil,X1)|esk50_0=nil|~memberP(esk50_0,X1)|~ssItem(esk57_0)|~ssItem(X1)),inference(cn,[status(thm)],[1081,theory(equality)])).
% cnf(1595,plain,(ssList(esk28_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[348,624,theory(equality)])).
% cnf(1596,plain,(app(nil,esk28_2(nil,nil))=nil|~ssList(nil)),inference(spm,[status(thm)],[347,624,theory(equality)])).
% cnf(1599,plain,(ssList(esk28_2(nil,nil))|$false),inference(rw,[status(thm)],[1595,122,theory(equality)])).
% cnf(1600,plain,(ssList(esk28_2(nil,nil))),inference(cn,[status(thm)],[1599,theory(equality)])).
% cnf(1601,plain,(app(nil,esk28_2(nil,nil))=nil|$false),inference(rw,[status(thm)],[1596,122,theory(equality)])).
% cnf(1602,plain,(app(nil,esk28_2(nil,nil))=nil),inference(cn,[status(thm)],[1601,theory(equality)])).
% cnf(1689,plain,(nil=esk28_2(nil,nil)|~ssList(esk28_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[202,1602,theory(equality)])).
% cnf(1716,plain,(nil=esk28_2(nil,nil)|$false|~ssList(nil)),inference(rw,[status(thm)],[1689,1600,theory(equality)])).
% cnf(1717,plain,(nil=esk28_2(nil,nil)|$false|$false),inference(rw,[status(thm)],[1716,122,theory(equality)])).
% cnf(1718,plain,(nil=esk28_2(nil,nil)),inference(cn,[status(thm)],[1717,theory(equality)])).
% cnf(1730,plain,(app(nil,nil)=nil),inference(rw,[status(thm)],[1602,1718,theory(equality)])).
% cnf(1735,plain,(X1=nil|app(X1,nil)!=nil|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[183,1730,theory(equality)])).
% cnf(1749,plain,(X1=nil|app(X1,nil)!=nil|$false|~ssList(X1)),inference(rw,[status(thm)],[1735,122,theory(equality)])).
% cnf(1750,plain,(X1=nil|app(X1,nil)!=nil|~ssList(X1)),inference(cn,[status(thm)],[1749,theory(equality)])).
% cnf(2014,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1056,121,theory(equality)])).
% cnf(2015,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2014,122,theory(equality)])).
% cnf(2016,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)],[2015,584,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),inference(cn,[status(thm)],[2016,theory(equality)])).
% cnf(2035,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)],[2017,191,theory(equality)])).
% cnf(2075,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2035,581,theory(equality)])).
% cnf(2076,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|$false),inference(rw,[status(thm)],[2075,584,theory(equality)])).
% cnf(2077,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0),inference(cn,[status(thm)],[2076,theory(equality)])).
% cnf(2096,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0|~ssList(cons(esk53_0,nil))|~ssList(cons(esk52_0,esk55_0))|~ssList(esk54_0)),inference(spm,[status(thm)],[2077,195,theory(equality)])).
% cnf(2130,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0|~ssList(cons(esk53_0,nil))|~ssList(cons(esk52_0,esk55_0))|$false),inference(rw,[status(thm)],[2096,582,theory(equality)])).
% cnf(2131,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)],[2130,theory(equality)])).
% cnf(2188,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)],[2131,121,theory(equality)])).
% cnf(2189,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))|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2188,122,theory(equality)])).
% cnf(2190,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0|~ssList(cons(esk52_0,esk55_0))|$false|$false),inference(rw,[status(thm)],[2189,583,theory(equality)])).
% cnf(2191,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0|~ssList(cons(esk52_0,esk55_0))),inference(cn,[status(thm)],[2190,theory(equality)])).
% cnf(2192,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[2191,121,theory(equality)])).
% cnf(2193,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2192,581,theory(equality)])).
% cnf(2194,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)],[2193,584,theory(equality)])).
% cnf(2195,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0),inference(cn,[status(thm)],[2194,theory(equality)])).
% cnf(2212,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)],[2195,151,theory(equality)])).
% cnf(2249,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))),esk56_0)=esk50_0|$false|~ssList(cons(esk53_0,nil))|~ssItem(esk52_0)),inference(rw,[status(thm)],[2212,581,theory(equality)])).
% cnf(2250,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))),esk56_0)=esk50_0|$false|~ssList(cons(esk53_0,nil))|$false),inference(rw,[status(thm)],[2249,584,theory(equality)])).
% cnf(2251,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))),esk56_0)=esk50_0|~ssList(cons(esk53_0,nil))),inference(cn,[status(thm)],[2250,theory(equality)])).
% cnf(2252,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))),esk56_0)=esk50_0|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[2251,121,theory(equality)])).
% cnf(2253,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))),esk56_0)=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2252,122,theory(equality)])).
% cnf(2254,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)],[2253,583,theory(equality)])).
% cnf(2255,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))),esk56_0)=esk50_0),inference(cn,[status(thm)],[2254,theory(equality)])).
% cnf(2270,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)],[195,2255,theory(equality)])).
% cnf(2302,negated_conjecture,(esk50_0=app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))|$false|~ssList(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))))|~ssList(esk54_0)),inference(rw,[status(thm)],[2270,580,theory(equality)])).
% cnf(2303,negated_conjecture,(esk50_0=app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))|$false|~ssList(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))))|$false),inference(rw,[status(thm)],[2302,582,theory(equality)])).
% cnf(2304,negated_conjecture,(esk50_0=app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))|~ssList(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))))),inference(cn,[status(thm)],[2303,theory(equality)])).
% cnf(2313,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))=esk50_0|~ssList(app(esk55_0,cons(esk53_0,nil)))|~ssItem(esk52_0)),inference(spm,[status(thm)],[2304,121,theory(equality)])).
% cnf(2314,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))=esk50_0|~ssList(app(esk55_0,cons(esk53_0,nil)))|$false),inference(rw,[status(thm)],[2313,584,theory(equality)])).
% cnf(2315,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)],[2314,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(cons(esk53_0,nil))|~ssList(esk55_0)),inference(spm,[status(thm)],[2315,147,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(cons(esk53_0,nil))|$false),inference(rw,[status(thm)],[2316,581,theory(equality)])).
% cnf(2318,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))=esk50_0|~ssList(cons(esk53_0,nil))),inference(cn,[status(thm)],[2317,theory(equality)])).
% cnf(2319,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))=esk50_0|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[2318,121,theory(equality)])).
% cnf(2320,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2319,122,theory(equality)])).
% cnf(2321,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)],[2320,583,theory(equality)])).
% cnf(2322,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))=esk50_0),inference(cn,[status(thm)],[2321,theory(equality)])).
% cnf(2337,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)],[2322,151,theory(equality)])).
% cnf(2370,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)))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2337,580,theory(equality)])).
% cnf(2371,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0|~ssList(app(esk55_0,cons(esk53_0,nil)))|$false|$false),inference(rw,[status(thm)],[2370,584,theory(equality)])).
% cnf(2372,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0|~ssList(app(esk55_0,cons(esk53_0,nil)))),inference(cn,[status(thm)],[2371,theory(equality)])).
% cnf(2373,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0|~ssList(cons(esk53_0,nil))|~ssList(esk55_0)),inference(spm,[status(thm)],[2372,147,theory(equality)])).
% cnf(2374,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0|~ssList(cons(esk53_0,nil))|$false),inference(rw,[status(thm)],[2373,581,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(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(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[2375,121,theory(equality)])).
% cnf(2377,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2376,122,theory(equality)])).
% cnf(2378,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0|$false|$false),inference(rw,[status(thm)],[2377,583,theory(equality)])).
% cnf(2379,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0),inference(cn,[status(thm)],[2378,theory(equality)])).
% cnf(2400,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,app(cons(esk53_0,nil),esk56_0))))=esk50_0|~ssList(esk56_0)|~ssList(cons(esk53_0,nil))|~ssList(esk55_0)),inference(spm,[status(thm)],[2379,195,theory(equality)])).
% cnf(2450,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,app(cons(esk53_0,nil),esk56_0))))=esk50_0|$false|~ssList(cons(esk53_0,nil))|~ssList(esk55_0)),inference(rw,[status(thm)],[2400,580,theory(equality)])).
% cnf(2451,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)],[2450,581,theory(equality)])).
% cnf(2452,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)],[2451,theory(equality)])).
% cnf(2453,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)],[2452,121,theory(equality)])).
% cnf(2454,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,app(cons(esk53_0,nil),esk56_0))))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2453,122,theory(equality)])).
% cnf(2455,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,app(cons(esk53_0,nil),esk56_0))))=esk50_0|$false|$false),inference(rw,[status(thm)],[2454,583,theory(equality)])).
% cnf(2456,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,app(cons(esk53_0,nil),esk56_0))))=esk50_0),inference(cn,[status(thm)],[2455,theory(equality)])).
% cnf(2478,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))))=esk50_0|~ssList(esk56_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[2456,191,theory(equality)])).
% cnf(2531,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2478,580,theory(equality)])).
% cnf(2532,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))))=esk50_0|$false|$false),inference(rw,[status(thm)],[2531,583,theory(equality)])).
% cnf(2533,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))))=esk50_0),inference(cn,[status(thm)],[2532,theory(equality)])).
% cnf(5210,plain,(tl(X1)=nil|~singletonP(X1)|~ssList(X1)),inference(csr,[status(thm)],[720,267])).
% cnf(5604,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(app(app(esk54_0,cons(esk52_0,nil)),esk55_0))|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[1053,121,theory(equality)])).
% cnf(5605,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(app(app(esk54_0,cons(esk52_0,nil)),esk55_0))|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[5604,122,theory(equality)])).
% cnf(5606,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(app(app(esk54_0,cons(esk52_0,nil)),esk55_0))|$false|$false),inference(rw,[status(thm)],[5605,583,theory(equality)])).
% cnf(5607,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(app(app(esk54_0,cons(esk52_0,nil)),esk55_0))),inference(cn,[status(thm)],[5606,theory(equality)])).
% cnf(5609,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(esk55_0)|~ssList(app(esk54_0,cons(esk52_0,nil)))),inference(spm,[status(thm)],[5607,147,theory(equality)])).
% cnf(5613,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|$false|~ssList(app(esk54_0,cons(esk52_0,nil)))),inference(rw,[status(thm)],[5609,581,theory(equality)])).
% cnf(5614,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(app(esk54_0,cons(esk52_0,nil)))),inference(cn,[status(thm)],[5613,theory(equality)])).
% cnf(5615,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(spm,[status(thm)],[5614,147,theory(equality)])).
% cnf(5616,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[5615,582,theory(equality)])).
% cnf(5617,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[5616,theory(equality)])).
% cnf(5618,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[5617,121,theory(equality)])).
% cnf(5619,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[5618,122,theory(equality)])).
% cnf(5620,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[5619,584,theory(equality)])).
% cnf(5621,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0))=esk50_0),inference(cn,[status(thm)],[5620,theory(equality)])).
% cnf(5639,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,esk56_0))=esk50_0|~ssList(esk56_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[5621,191,theory(equality)])).
% cnf(5653,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,esk56_0))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[5639,580,theory(equality)])).
% cnf(5654,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,esk56_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[5653,583,theory(equality)])).
% cnf(5655,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,esk56_0))=esk50_0),inference(cn,[status(thm)],[5654,theory(equality)])).
% cnf(5681,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,esk56_0))=esk50_0|~ssList(esk55_0)|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(spm,[status(thm)],[5655,195,theory(equality)])).
% cnf(5705,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,esk56_0))=esk50_0|$false|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(rw,[status(thm)],[5681,581,theory(equality)])).
% cnf(5706,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,esk56_0))=esk50_0|$false|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[5705,582,theory(equality)])).
% cnf(5707,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,esk56_0))=esk50_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[5706,theory(equality)])).
% cnf(5708,negated_conjecture,(app(esk50_0,X1)=cons(esk57_0,X1)|esk50_0=nil|~ssList(X1)),inference(csr,[status(thm)],[724,576])).
% cnf(5718,negated_conjecture,(ssList(cons(esk57_0,X1))|esk50_0=nil|~ssList(X1)|~ssList(esk50_0)),inference(spm,[status(thm)],[147,5708,theory(equality)])).
% cnf(5750,negated_conjecture,(ssList(cons(esk57_0,X1))|esk50_0=nil|~ssList(X1)|$false),inference(rw,[status(thm)],[5718,591,theory(equality)])).
% cnf(5751,negated_conjecture,(ssList(cons(esk57_0,X1))|esk50_0=nil|~ssList(X1)),inference(cn,[status(thm)],[5750,theory(equality)])).
% cnf(5823,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,esk56_0))=esk50_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[5707,121,theory(equality)])).
% cnf(5824,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,esk56_0))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[5823,122,theory(equality)])).
% cnf(5825,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,esk56_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[5824,584,theory(equality)])).
% cnf(5826,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,esk56_0))=esk50_0),inference(cn,[status(thm)],[5825,theory(equality)])).
% cnf(6475,negated_conjecture,(singletonP(cons(esk57_0,nil))|esk50_0=nil|~ssItem(esk57_0)|~ssList(nil)),inference(spm,[status(thm)],[671,5751,theory(equality)])).
% cnf(6479,negated_conjecture,(singletonP(cons(esk57_0,nil))|esk50_0=nil|~ssItem(esk57_0)|$false),inference(rw,[status(thm)],[6475,122,theory(equality)])).
% cnf(6480,negated_conjecture,(singletonP(cons(esk57_0,nil))|esk50_0=nil|~ssItem(esk57_0)),inference(cn,[status(thm)],[6479,theory(equality)])).
% cnf(6488,negated_conjecture,(esk50_0=nil|singletonP(cons(esk57_0,nil))),inference(csr,[status(thm)],[6480,576])).
% cnf(6496,negated_conjecture,(tl(cons(esk57_0,nil))=nil|esk50_0=nil|~ssList(cons(esk57_0,nil))),inference(spm,[status(thm)],[5210,6488,theory(equality)])).
% cnf(6635,negated_conjecture,(tl(cons(esk57_0,nil))=nil|esk50_0=nil|~ssList(nil)),inference(spm,[status(thm)],[6496,5751,theory(equality)])).
% cnf(6642,negated_conjecture,(tl(cons(esk57_0,nil))=nil|esk50_0=nil|$false),inference(rw,[status(thm)],[6635,122,theory(equality)])).
% cnf(6643,negated_conjecture,(tl(cons(esk57_0,nil))=nil|esk50_0=nil),inference(cn,[status(thm)],[6642,theory(equality)])).
% cnf(6646,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)],[456,6643,theory(equality)])).
% cnf(7324,negated_conjecture,(esk50_0=nil|cons(esk57_0,nil)!=nil|~ssList(esk50_0)|~ssList(nil)),inference(spm,[status(thm)],[1750,5708,theory(equality)])).
% cnf(7330,negated_conjecture,(esk50_0=nil|cons(esk57_0,nil)!=nil|$false|~ssList(nil)),inference(rw,[status(thm)],[7324,591,theory(equality)])).
% cnf(7331,negated_conjecture,(esk50_0=nil|cons(esk57_0,nil)!=nil|$false|$false),inference(rw,[status(thm)],[7330,122,theory(equality)])).
% cnf(7332,negated_conjecture,(esk50_0=nil|cons(esk57_0,nil)!=nil),inference(cn,[status(thm)],[7331,theory(equality)])).
% cnf(9454,plain,(rearsegP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)),inference(csr,[status(thm)],[857,147])).
% cnf(9519,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(app(esk54_0,app(cons(esk52_0,nil),esk55_0)))|~ssList(cons(esk53_0,esk56_0))),inference(spm,[status(thm)],[9454,5826,theory(equality)])).
% cnf(10198,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(app(esk54_0,app(cons(esk52_0,nil),esk55_0)))|~ssList(esk56_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[9519,121,theory(equality)])).
% cnf(10199,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(app(esk54_0,app(cons(esk52_0,nil),esk55_0)))|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[10198,580,theory(equality)])).
% cnf(10200,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(app(esk54_0,app(cons(esk52_0,nil),esk55_0)))|$false|$false),inference(rw,[status(thm)],[10199,583,theory(equality)])).
% cnf(10201,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(app(esk54_0,app(cons(esk52_0,nil),esk55_0)))),inference(cn,[status(thm)],[10200,theory(equality)])).
% cnf(10203,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[10201,191,theory(equality)])).
% cnf(10209,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[10203,581,theory(equality)])).
% cnf(10210,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))|$false|$false),inference(rw,[status(thm)],[10209,584,theory(equality)])).
% cnf(10211,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))),inference(cn,[status(thm)],[10210,theory(equality)])).
% cnf(10260,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(cons(esk52_0,esk55_0))|~ssList(esk54_0)),inference(spm,[status(thm)],[10211,147,theory(equality)])).
% cnf(10261,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(cons(esk52_0,esk55_0))|$false),inference(rw,[status(thm)],[10260,582,theory(equality)])).
% cnf(10262,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(cons(esk52_0,esk55_0))),inference(cn,[status(thm)],[10261,theory(equality)])).
% cnf(10263,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[10262,121,theory(equality)])).
% cnf(10264,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[10263,581,theory(equality)])).
% cnf(10265,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|$false|$false),inference(rw,[status(thm)],[10264,584,theory(equality)])).
% cnf(10266,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))),inference(cn,[status(thm)],[10265,theory(equality)])).
% cnf(10267,negated_conjecture,(ssList(esk29_2(esk50_0,cons(esk53_0,esk56_0)))|~ssList(cons(esk53_0,esk56_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[356,10266,theory(equality)])).
% cnf(10268,negated_conjecture,(app(esk29_2(esk50_0,cons(esk53_0,esk56_0)),cons(esk53_0,esk56_0))=esk50_0|~ssList(cons(esk53_0,esk56_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[355,10266,theory(equality)])).
% cnf(10277,negated_conjecture,(ssList(esk29_2(esk50_0,cons(esk53_0,esk56_0)))|~ssList(cons(esk53_0,esk56_0))|$false),inference(rw,[status(thm)],[10267,591,theory(equality)])).
% cnf(10278,negated_conjecture,(ssList(esk29_2(esk50_0,cons(esk53_0,esk56_0)))|~ssList(cons(esk53_0,esk56_0))),inference(cn,[status(thm)],[10277,theory(equality)])).
% cnf(10279,negated_conjecture,(app(esk29_2(esk50_0,cons(esk53_0,esk56_0)),cons(esk53_0,esk56_0))=esk50_0|~ssList(cons(esk53_0,esk56_0))|$false),inference(rw,[status(thm)],[10268,591,theory(equality)])).
% cnf(10280,negated_conjecture,(app(esk29_2(esk50_0,cons(esk53_0,esk56_0)),cons(esk53_0,esk56_0))=esk50_0|~ssList(cons(esk53_0,esk56_0))),inference(cn,[status(thm)],[10279,theory(equality)])).
% cnf(10299,negated_conjecture,(ssList(esk29_2(esk50_0,cons(esk53_0,esk56_0)))|~ssList(esk56_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[10278,121,theory(equality)])).
% cnf(10300,negated_conjecture,(ssList(esk29_2(esk50_0,cons(esk53_0,esk56_0)))|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[10299,580,theory(equality)])).
% cnf(10301,negated_conjecture,(ssList(esk29_2(esk50_0,cons(esk53_0,esk56_0)))|$false|$false),inference(rw,[status(thm)],[10300,583,theory(equality)])).
% cnf(10302,negated_conjecture,(ssList(esk29_2(esk50_0,cons(esk53_0,esk56_0)))),inference(cn,[status(thm)],[10301,theory(equality)])).
% cnf(10390,negated_conjecture,(app(esk29_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)],[10280,121,theory(equality)])).
% cnf(10391,negated_conjecture,(app(esk29_2(esk50_0,cons(esk53_0,esk56_0)),cons(esk53_0,esk56_0))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[10390,580,theory(equality)])).
% cnf(10392,negated_conjecture,(app(esk29_2(esk50_0,cons(esk53_0,esk56_0)),cons(esk53_0,esk56_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[10391,583,theory(equality)])).
% cnf(10393,negated_conjecture,(app(esk29_2(esk50_0,cons(esk53_0,esk56_0)),cons(esk53_0,esk56_0))=esk50_0),inference(cn,[status(thm)],[10392,theory(equality)])).
% cnf(10414,negated_conjecture,(memberP(X1,esk53_0)|esk50_0!=X1|~ssList(esk56_0)|~ssList(esk29_2(esk50_0,cons(esk53_0,esk56_0)))|~ssList(X1)|~ssItem(esk53_0)),inference(spm,[status(thm)],[117,10393,theory(equality)])).
% cnf(10463,negated_conjecture,(memberP(X1,esk53_0)|esk50_0!=X1|$false|~ssList(esk29_2(esk50_0,cons(esk53_0,esk56_0)))|~ssList(X1)|~ssItem(esk53_0)),inference(rw,[status(thm)],[10414,580,theory(equality)])).
% cnf(10464,negated_conjecture,(memberP(X1,esk53_0)|esk50_0!=X1|$false|$false|~ssList(X1)|~ssItem(esk53_0)),inference(rw,[status(thm)],[10463,10302,theory(equality)])).
% cnf(10465,negated_conjecture,(memberP(X1,esk53_0)|esk50_0!=X1|$false|$false|~ssList(X1)|$false),inference(rw,[status(thm)],[10464,583,theory(equality)])).
% cnf(10466,negated_conjecture,(memberP(X1,esk53_0)|esk50_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[10465,theory(equality)])).
% cnf(10491,negated_conjecture,(esk50_0=nil|X1=esk57_0|cons(X1,X2)!=esk50_0|~ssList(X2)|~ssItem(X1)),inference(csr,[status(thm)],[903,576])).
% cnf(11224,negated_conjecture,(cons(hd(cons(esk57_0,nil)),nil)=cons(esk57_0,nil)|esk50_0=nil|~ssList(cons(esk57_0,nil))),inference(csr,[status(thm)],[6646,7332])).
% cnf(11228,negated_conjecture,(cons(hd(cons(esk57_0,nil)),nil)=cons(esk57_0,nil)|esk50_0=nil|~ssList(nil)),inference(spm,[status(thm)],[11224,5751,theory(equality)])).
% cnf(11236,negated_conjecture,(cons(hd(cons(esk57_0,nil)),nil)=cons(esk57_0,nil)|esk50_0=nil|$false),inference(rw,[status(thm)],[11228,122,theory(equality)])).
% cnf(11237,negated_conjecture,(cons(hd(cons(esk57_0,nil)),nil)=cons(esk57_0,nil)|esk50_0=nil),inference(cn,[status(thm)],[11236,theory(equality)])).
% cnf(11243,negated_conjecture,(ssList(cons(esk57_0,nil))|esk50_0=nil|~ssList(nil)|~ssItem(hd(cons(esk57_0,nil)))),inference(spm,[status(thm)],[121,11237,theory(equality)])).
% cnf(11249,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)],[10491,11237,theory(equality)])).
% cnf(11296,negated_conjecture,(ssList(cons(esk57_0,nil))|esk50_0=nil|$false|~ssItem(hd(cons(esk57_0,nil)))),inference(rw,[status(thm)],[11243,122,theory(equality)])).
% cnf(11297,negated_conjecture,(ssList(cons(esk57_0,nil))|esk50_0=nil|~ssItem(hd(cons(esk57_0,nil)))),inference(cn,[status(thm)],[11296,theory(equality)])).
% cnf(11308,negated_conjecture,(esk50_0=nil|hd(cons(esk57_0,nil))=esk57_0|cons(esk57_0,nil)!=esk50_0|$false|~ssItem(hd(cons(esk57_0,nil)))),inference(rw,[status(thm)],[11249,122,theory(equality)])).
% cnf(11309,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)],[11308,theory(equality)])).
% cnf(11370,negated_conjecture,(esk50_0=nil|ssList(cons(esk57_0,nil))|~ssItem(esk57_0)|~ssList(nil)),inference(spm,[status(thm)],[11297,280,theory(equality)])).
% cnf(11374,negated_conjecture,(esk50_0=nil|ssList(cons(esk57_0,nil))|~ssItem(esk57_0)|$false),inference(rw,[status(thm)],[11370,122,theory(equality)])).
% cnf(11375,negated_conjecture,(esk50_0=nil|ssList(cons(esk57_0,nil))|~ssItem(esk57_0)),inference(cn,[status(thm)],[11374,theory(equality)])).
% cnf(11376,negated_conjecture,(esk50_0=nil|ssList(cons(esk57_0,nil))),inference(csr,[status(thm)],[11375,576])).
% cnf(11425,negated_conjecture,(hd(cons(esk57_0,nil))=esk57_0|esk50_0=nil|~ssItem(hd(cons(esk57_0,nil)))),inference(csr,[status(thm)],[11309,574])).
% cnf(11428,negated_conjecture,(hd(cons(esk57_0,nil))=esk57_0|esk50_0=nil|nil=cons(esk57_0,nil)|~ssList(cons(esk57_0,nil))),inference(spm,[status(thm)],[11425,294,theory(equality)])).
% cnf(11464,negated_conjecture,(hd(cons(esk57_0,nil))=esk57_0|cons(esk57_0,nil)=nil|esk50_0=nil),inference(csr,[status(thm)],[11428,11376])).
% cnf(11465,negated_conjecture,(hd(cons(esk57_0,nil))=esk57_0|esk50_0=nil),inference(csr,[status(thm)],[11464,7332])).
% cnf(11467,negated_conjecture,(cons(esk57_0,tl(cons(esk57_0,nil)))=cons(esk57_0,nil)|nil=cons(esk57_0,nil)|esk50_0=nil|~ssList(cons(esk57_0,nil))),inference(spm,[status(thm)],[456,11465,theory(equality)])).
% cnf(11659,negated_conjecture,(cons(esk57_0,tl(cons(esk57_0,nil)))=cons(esk57_0,nil)|cons(esk57_0,nil)=nil|esk50_0=nil),inference(csr,[status(thm)],[11467,11376])).
% cnf(11660,negated_conjecture,(cons(esk57_0,tl(cons(esk57_0,nil)))=cons(esk57_0,nil)|esk50_0=nil),inference(csr,[status(thm)],[11659,7332])).
% cnf(11810,negated_conjecture,(memberP(esk50_0,esk53_0)|~ssList(esk50_0)),inference(er,[status(thm)],[10466,theory(equality)])).
% cnf(11811,negated_conjecture,(memberP(esk50_0,esk53_0)|$false),inference(rw,[status(thm)],[11810,591,theory(equality)])).
% cnf(11812,negated_conjecture,(memberP(esk50_0,esk53_0)),inference(cn,[status(thm)],[11811,theory(equality)])).
% cnf(11818,negated_conjecture,(memberP(app(esk50_0,X1),esk53_0)|~ssList(X1)|~ssList(esk50_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[168,11812,theory(equality)])).
% cnf(11834,negated_conjecture,(memberP(app(esk50_0,X1),esk53_0)|~ssList(X1)|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[11818,591,theory(equality)])).
% cnf(11835,negated_conjecture,(memberP(app(esk50_0,X1),esk53_0)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[11834,583,theory(equality)])).
% cnf(11836,negated_conjecture,(memberP(app(esk50_0,X1),esk53_0)|~ssList(X1)),inference(cn,[status(thm)],[11835,theory(equality)])).
% cnf(12324,negated_conjecture,(memberP(cons(esk57_0,X1),esk53_0)|esk50_0=nil|~ssList(X1)),inference(spm,[status(thm)],[11836,5708,theory(equality)])).
% cnf(12356,negated_conjecture,(esk50_0=nil|memberP(cons(esk57_0,nil),esk53_0)|~ssList(tl(cons(esk57_0,nil)))),inference(spm,[status(thm)],[12324,11660,theory(equality)])).
% cnf(12384,negated_conjecture,(esk50_0=nil|memberP(cons(esk57_0,nil),esk53_0)|~ssList(nil)),inference(spm,[status(thm)],[12356,6643,theory(equality)])).
% cnf(12391,negated_conjecture,(esk50_0=nil|memberP(cons(esk57_0,nil),esk53_0)|$false),inference(rw,[status(thm)],[12384,122,theory(equality)])).
% cnf(12392,negated_conjecture,(esk50_0=nil|memberP(cons(esk57_0,nil),esk53_0)),inference(cn,[status(thm)],[12391,theory(equality)])).
% cnf(12403,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)],[176,12392,theory(equality)])).
% cnf(12418,negated_conjecture,(esk53_0=esk57_0|memberP(nil,esk53_0)|esk50_0=nil|$false|~ssItem(esk57_0)|~ssItem(esk53_0)),inference(rw,[status(thm)],[12403,122,theory(equality)])).
% cnf(12419,negated_conjecture,(esk53_0=esk57_0|memberP(nil,esk53_0)|esk50_0=nil|$false|~ssItem(esk57_0)|$false),inference(rw,[status(thm)],[12418,583,theory(equality)])).
% cnf(12420,negated_conjecture,(esk53_0=esk57_0|memberP(nil,esk53_0)|esk50_0=nil|~ssItem(esk57_0)),inference(cn,[status(thm)],[12419,theory(equality)])).
% cnf(12423,negated_conjecture,(esk53_0=esk57_0|esk50_0=nil|memberP(nil,esk53_0)),inference(csr,[status(thm)],[12420,576])).
% cnf(12430,negated_conjecture,(esk50_0=nil|esk53_0=esk57_0|~ssItem(esk53_0)),inference(spm,[status(thm)],[179,12423,theory(equality)])).
% cnf(12449,negated_conjecture,(esk50_0=nil|esk53_0=esk57_0|$false),inference(rw,[status(thm)],[12430,583,theory(equality)])).
% cnf(12450,negated_conjecture,(esk50_0=nil|esk53_0=esk57_0),inference(cn,[status(thm)],[12449,theory(equality)])).
% cnf(12452,negated_conjecture,(lt(esk57_0,esk52_0)|esk50_0=nil),inference(spm,[status(thm)],[578,12450,theory(equality)])).
% cnf(12455,negated_conjecture,(esk50_0=nil|~lt(esk52_0,esk57_0)),inference(spm,[status(thm)],[667,12450,theory(equality)])).
% cnf(13735,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)],[947,2533,theory(equality)])).
% cnf(13799,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|~ssList(app(esk55_0,cons(esk53_0,esk56_0)))|~ssList(esk54_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[13735,591,theory(equality)])).
% cnf(13800,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|~ssList(app(esk55_0,cons(esk53_0,esk56_0)))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[13799,582,theory(equality)])).
% cnf(13801,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|~ssList(app(esk55_0,cons(esk53_0,esk56_0)))|$false|$false),inference(rw,[status(thm)],[13800,584,theory(equality)])).
% cnf(13802,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(app(esk55_0,cons(esk53_0,esk56_0)))),inference(cn,[status(thm)],[13801,theory(equality)])).
% cnf(13909,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(cons(esk53_0,esk56_0))|~ssList(esk55_0)),inference(spm,[status(thm)],[13802,147,theory(equality)])).
% cnf(13910,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(cons(esk53_0,esk56_0))|$false),inference(rw,[status(thm)],[13909,581,theory(equality)])).
% cnf(13911,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(cons(esk53_0,esk56_0))),inference(cn,[status(thm)],[13910,theory(equality)])).
% cnf(13913,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(esk56_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[13911,121,theory(equality)])).
% cnf(13914,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[13913,580,theory(equality)])).
% cnf(13915,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|$false),inference(rw,[status(thm)],[13914,583,theory(equality)])).
% cnf(13916,negated_conjecture,(memberP(esk50_0,esk52_0)),inference(cn,[status(thm)],[13915,theory(equality)])).
% cnf(40837,negated_conjecture,(esk50_0=nil|X1=esk57_0|memberP(nil,X1)|~memberP(esk50_0,X1)|~ssItem(X1)),inference(csr,[status(thm)],[1082,576])).
% cnf(40838,negated_conjecture,(esk50_0=nil|X1=esk57_0|~memberP(esk50_0,X1)|~ssItem(X1)),inference(csr,[status(thm)],[40837,179])).
% cnf(40840,negated_conjecture,(esk50_0=nil|esk52_0=esk57_0|~ssItem(esk52_0)),inference(spm,[status(thm)],[40838,13916,theory(equality)])).
% cnf(40845,negated_conjecture,(esk50_0=nil|esk52_0=esk57_0|$false),inference(rw,[status(thm)],[40840,584,theory(equality)])).
% cnf(40846,negated_conjecture,(esk50_0=nil|esk52_0=esk57_0),inference(cn,[status(thm)],[40845,theory(equality)])).
% cnf(40996,negated_conjecture,(esk50_0=nil|lt(esk57_0,esk57_0)),inference(spm,[status(thm)],[12452,40846,theory(equality)])).
% cnf(41000,negated_conjecture,(esk50_0=nil|~lt(esk57_0,esk57_0)),inference(spm,[status(thm)],[12455,40846,theory(equality)])).
% cnf(41151,negated_conjecture,(esk50_0=nil),inference(csr,[status(thm)],[40996,41000])).
% cnf(41476,negated_conjecture,(memberP(nil,esk52_0)),inference(rw,[status(thm)],[13916,41151,theory(equality)])).
% cnf(42322,negated_conjecture,(~ssItem(esk52_0)),inference(spm,[status(thm)],[179,41476,theory(equality)])).
% cnf(42344,negated_conjecture,($false),inference(rw,[status(thm)],[42322,584,theory(equality)])).
% cnf(42345,negated_conjecture,($false),inference(cn,[status(thm)],[42344,theory(equality)])).
% cnf(42346,negated_conjecture,($false),42345,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 2405
% # ...of these trivial                : 85
% # ...subsumed                        : 967
% # ...remaining for further processing: 1353
% # Other redundant clauses eliminated : 140
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 210
% # Backward-rewritten                 : 812
% # Generated clauses                  : 15656
% # ...of the previous two non-trivial : 14700
% # Contextual simplify-reflections    : 924
% # Paramodulations                    : 15464
% # Factorizations                     : 0
% # Equation resolutions               : 192
% # Current number of processed clauses: 325
% #    Positive orientable unit clauses: 32
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 4
% #    Non-unit-clauses                : 289
% # Current number of unprocessed clauses: 2822
% # ...number of literals in the above : 17707
% # Clause-clause subsumption calls (NU) : 118370
% # Rec. Clause-clause subsumption calls : 87847
% # Unit Clause-clause subsumption calls : 2397
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 256
% # Indexed BW rewrite successes       : 62
% # Backwards rewriting index:   316 leaves,   1.39+/-1.165 terms/leaf
% # Paramod-from index:          167 leaves,   1.00+/-0.000 terms/leaf
% # Paramod-into index:          282 leaves,   1.24+/-1.032 terms/leaf
% # -------------------------------------------------
% # User time              : 0.974 s
% # System time            : 0.033 s
% # Total time             : 1.007 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.73 CPU 1.84 WC
% FINAL PrfWatch: 1.73 CPU 1.84 WC
% SZS output end Solution for /tmp/SystemOnTPTP7050/SWC306+1.tptp
% 
%------------------------------------------------------------------------------