%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SWC299+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 07:43:22 EST 2010

% Result   : Theorem 2.99s
% Output   : Solution 2.99s
% 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/SystemOnTPTP28394/SWC299+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP28394/SWC299+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP28394/SWC299+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 28490
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time     : 0.031 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(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)=>![X11]:(ssList(X11)=>![X12]:(ssList(X12)=>(((~(cons(X10,nil)=X3)|~(app(app(X11,X3),X12)=X4))|?[X13]:((ssItem(X13)&memberP(X11,X13))<(X10,X13)))|?[X14]:((ssItem(X14)&memberP(X12,X14))<(X14,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)=>![X11]:(ssList(X11)=>![X12]:(ssList(X12)=>(((~(cons(X10,nil)=X3)|~(app(app(X11,X3),X12)=X4))|?[X13]:((ssItem(X13)&memberP(X11,X13))<(X10,X13)))|?[X14]:((ssItem(X14)&memberP(X12,X14))<(X14,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)=>![X11]:(ssList(X11)=>![X12]:(ssList(X12)=>(((~(cons(X10,nil)=X3)|~(app(app(X11,X3),X12)=X4))|?[X13]:((ssItem(X13)&memberP(X11,X13))<(X10,X13)))|?[X14]:((ssItem(X14)&memberP(X12,X14))<(X14,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)&?[X11]:(ssList(X11)&?[X12]:(ssList(X12)&(((cons(X10,nil)=X3&app(app(X11,X3),X12)=X4)&![X13]:((~(ssItem(X13))|~(memberP(X11,X13)))|~(lt(X10,X13))))&![X14]:((~(ssItem(X14))|~(memberP(X12,X14)))|~(lt(X14,X10)))))))|(nil=X4&nil=X3))))))),inference(fof_nnf,[status(thm)],[103])).
% fof(569, negated_conjecture,?[X15]:(ssList(X15)&?[X16]:(ssList(X16)&?[X17]:(ssList(X17)&?[X18]:(ssList(X18)&(((X16=X18&X15=X17)&?[X19]:(ssItem(X19)&?[X20]:(ssItem(X20)&?[X21]:(ssList(X21)&?[X22]:(ssList(X22)&?[X23]:(ssList(X23)&(app(app(app(app(X21,cons(X19,nil)),X22),cons(X20,nil)),X23)=X15<(X20,X19))))))))&(?[X24]:(ssItem(X24)&?[X25]:(ssList(X25)&?[X26]:(ssList(X26)&(((cons(X24,nil)=X17&app(app(X25,X17),X26)=X18)&![X27]:((~(ssItem(X27))|~(memberP(X25,X27)))|~(lt(X24,X27))))&![X28]:((~(ssItem(X28))|~(memberP(X26,X28)))|~(lt(X28,X24)))))))|(nil=X18&nil=X17))))))),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)&(ssList(esk58_0)&(ssList(esk59_0)&(((cons(esk57_0,nil)=esk50_0&app(app(esk58_0,esk50_0),esk59_0)=esk51_0)&![X27]:((~(ssItem(X27))|~(memberP(esk58_0,X27)))|~(lt(esk57_0,X27))))&![X28]:((~(ssItem(X28))|~(memberP(esk59_0,X28)))|~(lt(X28,esk57_0)))))))|(nil=esk51_0&nil=esk50_0))))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,![X27]:![X28]:((((((((((((~(ssItem(X28))|~(memberP(esk59_0,X28)))|~(lt(X28,esk57_0)))&(((~(ssItem(X27))|~(memberP(esk58_0,X27)))|~(lt(esk57_0,X27)))&(cons(esk57_0,nil)=esk50_0&app(app(esk58_0,esk50_0),esk59_0)=esk51_0)))&ssList(esk59_0))&ssList(esk58_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,![X27]:![X28]:(((((((((((nil=esk51_0|((~(ssItem(X28))|~(memberP(esk59_0,X28)))|~(lt(X28,esk57_0))))&(nil=esk50_0|((~(ssItem(X28))|~(memberP(esk59_0,X28)))|~(lt(X28,esk57_0)))))&(((nil=esk51_0|((~(ssItem(X27))|~(memberP(esk58_0,X27)))|~(lt(esk57_0,X27))))&(nil=esk50_0|((~(ssItem(X27))|~(memberP(esk58_0,X27)))|~(lt(esk57_0,X27)))))&(((nil=esk51_0|cons(esk57_0,nil)=esk50_0)&(nil=esk50_0|cons(esk57_0,nil)=esk50_0))&((nil=esk51_0|app(app(esk58_0,esk50_0),esk59_0)=esk51_0)&(nil=esk50_0|app(app(esk58_0,esk50_0),esk59_0)=esk51_0)))))&((nil=esk51_0|ssList(esk59_0))&(nil=esk50_0|ssList(esk59_0))))&((nil=esk51_0|ssList(esk58_0))&(nil=esk50_0|ssList(esk58_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(594,negated_conjecture,(cons(esk57_0,nil)=esk50_0|nil=esk50_0),inference(split_conjunct,[status(thm)],[572])).
% cnf(600,negated_conjecture,(ssList(esk50_0)),inference(rw,[status(thm)],[573,584,theory(equality)])).
% cnf(604,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(631,plain,(frontsegP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[377,theory(equality)])).
% cnf(632,plain,(frontsegP(nil,nil)|$false),inference(rw,[status(thm)],[631,122,theory(equality)])).
% cnf(633,plain,(frontsegP(nil,nil)),inference(cn,[status(thm)],[632,theory(equality)])).
% cnf(681,negated_conjecture,(~lt(esk52_0,esk53_0)|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[158,577,theory(equality)])).
% cnf(682,negated_conjecture,(~lt(esk52_0,esk53_0)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[681,582,theory(equality)])).
% cnf(683,negated_conjecture,(~lt(esk52_0,esk53_0)|$false|$false),inference(rw,[status(thm)],[682,583,theory(equality)])).
% cnf(684,negated_conjecture,(~lt(esk52_0,esk53_0)),inference(cn,[status(thm)],[683,theory(equality)])).
% cnf(688,plain,(singletonP(cons(X1,nil))|~ssList(cons(X1,nil))|~ssItem(X1)),inference(er,[status(thm)],[268,theory(equality)])).
% cnf(731,plain,(tl(X1)=nil|~ssList(nil)|~ssItem(esk26_1(X1))|~singletonP(X1)|~ssList(X1)),inference(spm,[status(thm)],[284,266,theory(equality)])).
% cnf(736,plain,(tl(X1)=nil|$false|~ssItem(esk26_1(X1))|~singletonP(X1)|~ssList(X1)),inference(rw,[status(thm)],[731,122,theory(equality)])).
% cnf(737,plain,(tl(X1)=nil|~ssItem(esk26_1(X1))|~singletonP(X1)|~ssList(X1)),inference(cn,[status(thm)],[736,theory(equality)])).
% cnf(741,negated_conjecture,(app(esk50_0,X1)=cons(esk57_0,X1)|esk50_0=nil|~ssList(X1)|~ssItem(esk57_0)),inference(spm,[status(thm)],[191,594,theory(equality)])).
% cnf(855,plain,(rearsegP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)|~ssList(app(X1,X2))),inference(er,[status(thm)],[357,theory(equality)])).
% cnf(893,negated_conjecture,(X1=esk57_0|esk50_0=nil|cons(X1,X2)!=esk50_0|~ssList(nil)|~ssList(X2)|~ssItem(esk57_0)|~ssItem(X1)),inference(spm,[status(thm)],[132,594,theory(equality)])).
% cnf(903,negated_conjecture,(X1=esk57_0|esk50_0=nil|cons(X1,X2)!=esk50_0|$false|~ssList(X2)|~ssItem(esk57_0)|~ssItem(X1)),inference(rw,[status(thm)],[893,122,theory(equality)])).
% cnf(904,negated_conjecture,(X1=esk57_0|esk50_0=nil|cons(X1,X2)!=esk50_0|~ssList(X2)|~ssItem(esk57_0)|~ssItem(X1)),inference(cn,[status(thm)],[903,theory(equality)])).
% cnf(943,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(1046,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)],[604,195,theory(equality)])).
% cnf(1063,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(rw,[status(thm)],[1046,580,theory(equality)])).
% cnf(1064,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[1063,581,theory(equality)])).
% cnf(1065,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[1064,theory(equality)])).
% cnf(1074,negated_conjecture,(X1=esk57_0|memberP(nil,X1)|esk50_0=nil|~memberP(esk50_0,X1)|~ssList(nil)|~ssItem(esk57_0)|~ssItem(X1)),inference(spm,[status(thm)],[176,594,theory(equality)])).
% cnf(1079,negated_conjecture,(X1=esk57_0|memberP(nil,X1)|esk50_0=nil|~memberP(esk50_0,X1)|$false|~ssItem(esk57_0)|~ssItem(X1)),inference(rw,[status(thm)],[1074,122,theory(equality)])).
% cnf(1080,negated_conjecture,(X1=esk57_0|memberP(nil,X1)|esk50_0=nil|~memberP(esk50_0,X1)|~ssItem(esk57_0)|~ssItem(X1)),inference(cn,[status(thm)],[1079,theory(equality)])).
% cnf(1612,plain,(ssList(esk28_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[348,633,theory(equality)])).
% cnf(1613,plain,(app(nil,esk28_2(nil,nil))=nil|~ssList(nil)),inference(spm,[status(thm)],[347,633,theory(equality)])).
% cnf(1616,plain,(ssList(esk28_2(nil,nil))|$false),inference(rw,[status(thm)],[1612,122,theory(equality)])).
% cnf(1617,plain,(ssList(esk28_2(nil,nil))),inference(cn,[status(thm)],[1616,theory(equality)])).
% cnf(1618,plain,(app(nil,esk28_2(nil,nil))=nil|$false),inference(rw,[status(thm)],[1613,122,theory(equality)])).
% cnf(1619,plain,(app(nil,esk28_2(nil,nil))=nil),inference(cn,[status(thm)],[1618,theory(equality)])).
% cnf(1743,plain,(nil=esk28_2(nil,nil)|~ssList(esk28_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[202,1619,theory(equality)])).
% cnf(1770,plain,(nil=esk28_2(nil,nil)|$false|~ssList(nil)),inference(rw,[status(thm)],[1743,1617,theory(equality)])).
% cnf(1771,plain,(nil=esk28_2(nil,nil)|$false|$false),inference(rw,[status(thm)],[1770,122,theory(equality)])).
% cnf(1772,plain,(nil=esk28_2(nil,nil)),inference(cn,[status(thm)],[1771,theory(equality)])).
% cnf(1784,plain,(app(nil,nil)=nil),inference(rw,[status(thm)],[1619,1772,theory(equality)])).
% cnf(1790,plain,(X1=nil|app(X1,nil)!=nil|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[183,1784,theory(equality)])).
% cnf(1804,plain,(X1=nil|app(X1,nil)!=nil|$false|~ssList(X1)),inference(rw,[status(thm)],[1790,122,theory(equality)])).
% cnf(1805,plain,(X1=nil|app(X1,nil)!=nil|~ssList(X1)),inference(cn,[status(thm)],[1804,theory(equality)])).
% cnf(2067,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)],[1065,121,theory(equality)])).
% cnf(2068,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2067,122,theory(equality)])).
% cnf(2069,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|$false),inference(rw,[status(thm)],[2068,583,theory(equality)])).
% cnf(2070,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0),inference(cn,[status(thm)],[2069,theory(equality)])).
% cnf(2088,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[2070,191,theory(equality)])).
% cnf(2128,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2088,580,theory(equality)])).
% cnf(2129,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)],[2128,583,theory(equality)])).
% cnf(2130,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0)=esk50_0),inference(cn,[status(thm)],[2129,theory(equality)])).
% cnf(2147,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)],[195,2130,theory(equality)])).
% cnf(2149,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)],[2130,195,theory(equality)])).
% cnf(2179,negated_conjecture,(esk50_0=app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))|$false|~ssList(cons(esk53_0,nil))|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))),inference(rw,[status(thm)],[2147,579,theory(equality)])).
% cnf(2180,negated_conjecture,(esk50_0=app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))|~ssList(cons(esk53_0,nil))|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))),inference(cn,[status(thm)],[2179,theory(equality)])).
% cnf(2183,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0|~ssList(cons(esk53_0,nil))|~ssList(cons(esk52_0,esk55_0))|$false),inference(rw,[status(thm)],[2149,581,theory(equality)])).
% cnf(2184,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)],[2183,theory(equality)])).
% cnf(2241,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)],[2184,121,theory(equality)])).
% cnf(2242,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))|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2241,122,theory(equality)])).
% cnf(2243,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0|~ssList(cons(esk52_0,esk55_0))|$false|$false),inference(rw,[status(thm)],[2242,582,theory(equality)])).
% cnf(2244,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0|~ssList(cons(esk52_0,esk55_0))),inference(cn,[status(thm)],[2243,theory(equality)])).
% cnf(2245,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[2244,121,theory(equality)])).
% cnf(2246,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2245,580,theory(equality)])).
% cnf(2247,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)],[2246,583,theory(equality)])).
% cnf(2248,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0)=esk50_0),inference(cn,[status(thm)],[2247,theory(equality)])).
% cnf(2265,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)],[2248,151,theory(equality)])).
% cnf(2302,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))),esk56_0)=esk50_0|$false|~ssList(cons(esk53_0,nil))|~ssItem(esk52_0)),inference(rw,[status(thm)],[2265,580,theory(equality)])).
% cnf(2303,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))),esk56_0)=esk50_0|$false|~ssList(cons(esk53_0,nil))|$false),inference(rw,[status(thm)],[2302,583,theory(equality)])).
% cnf(2304,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))),esk56_0)=esk50_0|~ssList(cons(esk53_0,nil))),inference(cn,[status(thm)],[2303,theory(equality)])).
% cnf(2305,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))),esk56_0)=esk50_0|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[2304,121,theory(equality)])).
% cnf(2306,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))),esk56_0)=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2305,122,theory(equality)])).
% cnf(2307,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)],[2306,582,theory(equality)])).
% cnf(2308,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))),esk56_0)=esk50_0),inference(cn,[status(thm)],[2307,theory(equality)])).
% cnf(2323,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)],[195,2308,theory(equality)])).
% cnf(2355,negated_conjecture,(esk50_0=app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))|$false|~ssList(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))))|~ssList(esk54_0)),inference(rw,[status(thm)],[2323,579,theory(equality)])).
% cnf(2356,negated_conjecture,(esk50_0=app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))|$false|~ssList(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))))|$false),inference(rw,[status(thm)],[2355,581,theory(equality)])).
% cnf(2357,negated_conjecture,(esk50_0=app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))|~ssList(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))))),inference(cn,[status(thm)],[2356,theory(equality)])).
% cnf(2366,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))=esk50_0|~ssList(app(esk55_0,cons(esk53_0,nil)))|~ssItem(esk52_0)),inference(spm,[status(thm)],[2357,121,theory(equality)])).
% cnf(2367,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))=esk50_0|~ssList(app(esk55_0,cons(esk53_0,nil)))|$false),inference(rw,[status(thm)],[2366,583,theory(equality)])).
% cnf(2368,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)],[2367,theory(equality)])).
% cnf(2369,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)],[2368,147,theory(equality)])).
% cnf(2370,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))|$false),inference(rw,[status(thm)],[2369,580,theory(equality)])).
% cnf(2371,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))=esk50_0|~ssList(cons(esk53_0,nil))),inference(cn,[status(thm)],[2370,theory(equality)])).
% cnf(2372,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))=esk50_0|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[2371,121,theory(equality)])).
% cnf(2373,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2372,122,theory(equality)])).
% cnf(2374,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)],[2373,582,theory(equality)])).
% cnf(2375,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0))=esk50_0),inference(cn,[status(thm)],[2374,theory(equality)])).
% cnf(2390,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)],[2375,151,theory(equality)])).
% cnf(2423,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)))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2390,579,theory(equality)])).
% cnf(2424,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0|~ssList(app(esk55_0,cons(esk53_0,nil)))|$false|$false),inference(rw,[status(thm)],[2423,583,theory(equality)])).
% cnf(2425,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0|~ssList(app(esk55_0,cons(esk53_0,nil)))),inference(cn,[status(thm)],[2424,theory(equality)])).
% cnf(2426,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0|~ssList(cons(esk53_0,nil))|~ssList(esk55_0)),inference(spm,[status(thm)],[2425,147,theory(equality)])).
% cnf(2427,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0|~ssList(cons(esk53_0,nil))|$false),inference(rw,[status(thm)],[2426,580,theory(equality)])).
% cnf(2428,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)],[2427,theory(equality)])).
% cnf(2429,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)],[2428,121,theory(equality)])).
% cnf(2430,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2429,122,theory(equality)])).
% cnf(2431,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0|$false|$false),inference(rw,[status(thm)],[2430,582,theory(equality)])).
% cnf(2432,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)))=esk50_0),inference(cn,[status(thm)],[2431,theory(equality)])).
% cnf(2453,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,app(cons(esk53_0,nil),esk56_0))))=esk50_0|~ssList(esk56_0)|~ssList(cons(esk53_0,nil))|~ssList(esk55_0)),inference(spm,[status(thm)],[2432,195,theory(equality)])).
% cnf(2503,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,app(cons(esk53_0,nil),esk56_0))))=esk50_0|$false|~ssList(cons(esk53_0,nil))|~ssList(esk55_0)),inference(rw,[status(thm)],[2453,579,theory(equality)])).
% cnf(2504,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)],[2503,580,theory(equality)])).
% cnf(2505,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)],[2504,theory(equality)])).
% cnf(2506,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)],[2505,121,theory(equality)])).
% cnf(2507,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,app(cons(esk53_0,nil),esk56_0))))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2506,122,theory(equality)])).
% cnf(2508,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,app(cons(esk53_0,nil),esk56_0))))=esk50_0|$false|$false),inference(rw,[status(thm)],[2507,582,theory(equality)])).
% cnf(2509,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,app(cons(esk53_0,nil),esk56_0))))=esk50_0),inference(cn,[status(thm)],[2508,theory(equality)])).
% cnf(2531,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))))=esk50_0|~ssList(esk56_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[2509,191,theory(equality)])).
% cnf(2584,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2531,579,theory(equality)])).
% cnf(2585,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))))=esk50_0|$false|$false),inference(rw,[status(thm)],[2584,582,theory(equality)])).
% cnf(2586,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))))=esk50_0),inference(cn,[status(thm)],[2585,theory(equality)])).
% cnf(2961,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)],[2180,121,theory(equality)])).
% cnf(2962,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)))|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2961,122,theory(equality)])).
% cnf(2963,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))|$false|$false),inference(rw,[status(thm)],[2962,582,theory(equality)])).
% cnf(2964,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))),inference(cn,[status(thm)],[2963,theory(equality)])).
% cnf(2965,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(cons(esk52_0,esk55_0))|~ssList(esk54_0)),inference(spm,[status(thm)],[2964,147,theory(equality)])).
% cnf(2966,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|~ssList(cons(esk52_0,esk55_0))|$false),inference(rw,[status(thm)],[2965,581,theory(equality)])).
% cnf(2967,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)],[2966,theory(equality)])).
% cnf(2968,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)],[2967,121,theory(equality)])).
% cnf(2969,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2968,580,theory(equality)])).
% cnf(2970,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[2969,583,theory(equality)])).
% cnf(2971,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0))=esk50_0),inference(cn,[status(thm)],[2970,theory(equality)])).
% cnf(2989,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,esk56_0))=esk50_0|~ssList(esk56_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[2971,191,theory(equality)])).
% cnf(3002,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,esk56_0))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2989,579,theory(equality)])).
% cnf(3003,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,esk56_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[3002,582,theory(equality)])).
% cnf(3004,negated_conjecture,(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,esk56_0))=esk50_0),inference(cn,[status(thm)],[3003,theory(equality)])).
% cnf(5263,plain,(tl(X1)=nil|~singletonP(X1)|~ssList(X1)),inference(csr,[status(thm)],[737,267])).
% cnf(5757,negated_conjecture,(app(esk50_0,X1)=cons(esk57_0,X1)|esk50_0=nil|~ssList(X1)),inference(csr,[status(thm)],[741,586])).
% cnf(5767,negated_conjecture,(ssList(cons(esk57_0,X1))|esk50_0=nil|~ssList(X1)|~ssList(esk50_0)),inference(spm,[status(thm)],[147,5757,theory(equality)])).
% cnf(5801,negated_conjecture,(ssList(cons(esk57_0,X1))|esk50_0=nil|~ssList(X1)|$false),inference(rw,[status(thm)],[5767,600,theory(equality)])).
% cnf(5802,negated_conjecture,(ssList(cons(esk57_0,X1))|esk50_0=nil|~ssList(X1)),inference(cn,[status(thm)],[5801,theory(equality)])).
% cnf(6884,negated_conjecture,(singletonP(cons(esk57_0,nil))|esk50_0=nil|~ssItem(esk57_0)|~ssList(nil)),inference(spm,[status(thm)],[688,5802,theory(equality)])).
% cnf(6890,negated_conjecture,(singletonP(cons(esk57_0,nil))|esk50_0=nil|~ssItem(esk57_0)|$false),inference(rw,[status(thm)],[6884,122,theory(equality)])).
% cnf(6891,negated_conjecture,(singletonP(cons(esk57_0,nil))|esk50_0=nil|~ssItem(esk57_0)),inference(cn,[status(thm)],[6890,theory(equality)])).
% cnf(6900,negated_conjecture,(esk50_0=nil|singletonP(cons(esk57_0,nil))),inference(csr,[status(thm)],[6891,586])).
% cnf(6908,negated_conjecture,(tl(cons(esk57_0,nil))=nil|esk50_0=nil|~ssList(cons(esk57_0,nil))),inference(spm,[status(thm)],[5263,6900,theory(equality)])).
% cnf(7047,negated_conjecture,(tl(cons(esk57_0,nil))=nil|esk50_0=nil|~ssList(nil)),inference(spm,[status(thm)],[6908,5802,theory(equality)])).
% cnf(7054,negated_conjecture,(tl(cons(esk57_0,nil))=nil|esk50_0=nil|$false),inference(rw,[status(thm)],[7047,122,theory(equality)])).
% cnf(7055,negated_conjecture,(tl(cons(esk57_0,nil))=nil|esk50_0=nil),inference(cn,[status(thm)],[7054,theory(equality)])).
% cnf(7058,negated_conjecture,(cons(hd(cons(esk57_0,nil)),nil)=cons(esk57_0,nil)|nil=cons(esk57_0,nil)|esk50_0=nil|~ssList(cons(esk57_0,nil))),inference(spm,[status(thm)],[456,7055,theory(equality)])).
% cnf(7434,negated_conjecture,(esk50_0=nil|cons(esk57_0,nil)!=nil|~ssList(esk50_0)|~ssList(nil)),inference(spm,[status(thm)],[1805,5757,theory(equality)])).
% cnf(7440,negated_conjecture,(esk50_0=nil|cons(esk57_0,nil)!=nil|$false|~ssList(nil)),inference(rw,[status(thm)],[7434,600,theory(equality)])).
% cnf(7441,negated_conjecture,(esk50_0=nil|cons(esk57_0,nil)!=nil|$false|$false),inference(rw,[status(thm)],[7440,122,theory(equality)])).
% cnf(7442,negated_conjecture,(esk50_0=nil|cons(esk57_0,nil)!=nil),inference(cn,[status(thm)],[7441,theory(equality)])).
% cnf(9468,plain,(rearsegP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)),inference(csr,[status(thm)],[855,147])).
% cnf(9541,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)],[9468,3004,theory(equality)])).
% cnf(10554,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)],[9541,121,theory(equality)])).
% cnf(10555,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[10554,579,theory(equality)])).
% cnf(10556,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))|$false|$false),inference(rw,[status(thm)],[10555,582,theory(equality)])).
% cnf(10557,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(app(esk54_0,cons(esk52_0,esk55_0)))),inference(cn,[status(thm)],[10556,theory(equality)])).
% cnf(10558,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(cons(esk52_0,esk55_0))|~ssList(esk54_0)),inference(spm,[status(thm)],[10557,147,theory(equality)])).
% cnf(10559,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(cons(esk52_0,esk55_0))|$false),inference(rw,[status(thm)],[10558,581,theory(equality)])).
% cnf(10560,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(cons(esk52_0,esk55_0))),inference(cn,[status(thm)],[10559,theory(equality)])).
% cnf(10561,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[10560,121,theory(equality)])).
% cnf(10562,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[10561,580,theory(equality)])).
% cnf(10563,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))|$false|$false),inference(rw,[status(thm)],[10562,583,theory(equality)])).
% cnf(10564,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk56_0))),inference(cn,[status(thm)],[10563,theory(equality)])).
% cnf(10565,negated_conjecture,(ssList(esk29_2(esk50_0,cons(esk53_0,esk56_0)))|~ssList(cons(esk53_0,esk56_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[356,10564,theory(equality)])).
% cnf(10566,negated_conjecture,(app(esk29_2(esk50_0,cons(esk53_0,esk56_0)),cons(esk53_0,esk56_0))=esk50_0|~ssList(cons(esk53_0,esk56_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[355,10564,theory(equality)])).
% cnf(10572,negated_conjecture,(ssList(esk29_2(esk50_0,cons(esk53_0,esk56_0)))|~ssList(cons(esk53_0,esk56_0))|$false),inference(rw,[status(thm)],[10565,600,theory(equality)])).
% cnf(10573,negated_conjecture,(ssList(esk29_2(esk50_0,cons(esk53_0,esk56_0)))|~ssList(cons(esk53_0,esk56_0))),inference(cn,[status(thm)],[10572,theory(equality)])).
% cnf(10574,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))|$false),inference(rw,[status(thm)],[10566,600,theory(equality)])).
% cnf(10575,negated_conjecture,(app(esk29_2(esk50_0,cons(esk53_0,esk56_0)),cons(esk53_0,esk56_0))=esk50_0|~ssList(cons(esk53_0,esk56_0))),inference(cn,[status(thm)],[10574,theory(equality)])).
% cnf(10586,negated_conjecture,(ssList(esk29_2(esk50_0,cons(esk53_0,esk56_0)))|~ssList(esk56_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[10573,121,theory(equality)])).
% cnf(10587,negated_conjecture,(ssList(esk29_2(esk50_0,cons(esk53_0,esk56_0)))|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[10586,579,theory(equality)])).
% cnf(10588,negated_conjecture,(ssList(esk29_2(esk50_0,cons(esk53_0,esk56_0)))|$false|$false),inference(rw,[status(thm)],[10587,582,theory(equality)])).
% cnf(10589,negated_conjecture,(ssList(esk29_2(esk50_0,cons(esk53_0,esk56_0)))),inference(cn,[status(thm)],[10588,theory(equality)])).
% cnf(10677,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)],[10575,121,theory(equality)])).
% cnf(10678,negated_conjecture,(app(esk29_2(esk50_0,cons(esk53_0,esk56_0)),cons(esk53_0,esk56_0))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[10677,579,theory(equality)])).
% cnf(10679,negated_conjecture,(app(esk29_2(esk50_0,cons(esk53_0,esk56_0)),cons(esk53_0,esk56_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[10678,582,theory(equality)])).
% cnf(10680,negated_conjecture,(app(esk29_2(esk50_0,cons(esk53_0,esk56_0)),cons(esk53_0,esk56_0))=esk50_0),inference(cn,[status(thm)],[10679,theory(equality)])).
% cnf(10701,negated_conjecture,(memberP(X1,esk53_0)|esk50_0!=X1|~ssList(esk56_0)|~ssList(esk29_2(esk50_0,cons(esk53_0,esk56_0)))|~ssList(X1)|~ssItem(esk53_0)),inference(spm,[status(thm)],[117,10680,theory(equality)])).
% cnf(10750,negated_conjecture,(memberP(X1,esk53_0)|esk50_0!=X1|$false|~ssList(esk29_2(esk50_0,cons(esk53_0,esk56_0)))|~ssList(X1)|~ssItem(esk53_0)),inference(rw,[status(thm)],[10701,579,theory(equality)])).
% cnf(10751,negated_conjecture,(memberP(X1,esk53_0)|esk50_0!=X1|$false|$false|~ssList(X1)|~ssItem(esk53_0)),inference(rw,[status(thm)],[10750,10589,theory(equality)])).
% cnf(10752,negated_conjecture,(memberP(X1,esk53_0)|esk50_0!=X1|$false|$false|~ssList(X1)|$false),inference(rw,[status(thm)],[10751,582,theory(equality)])).
% cnf(10753,negated_conjecture,(memberP(X1,esk53_0)|esk50_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[10752,theory(equality)])).
% cnf(10835,negated_conjecture,(esk50_0=nil|X1=esk57_0|cons(X1,X2)!=esk50_0|~ssList(X2)|~ssItem(X1)),inference(csr,[status(thm)],[904,586])).
% cnf(11813,negated_conjecture,(cons(hd(cons(esk57_0,nil)),nil)=cons(esk57_0,nil)|esk50_0=nil|~ssList(cons(esk57_0,nil))),inference(csr,[status(thm)],[7058,7442])).
% cnf(11817,negated_conjecture,(cons(hd(cons(esk57_0,nil)),nil)=cons(esk57_0,nil)|esk50_0=nil|~ssList(nil)),inference(spm,[status(thm)],[11813,5802,theory(equality)])).
% cnf(11825,negated_conjecture,(cons(hd(cons(esk57_0,nil)),nil)=cons(esk57_0,nil)|esk50_0=nil|$false),inference(rw,[status(thm)],[11817,122,theory(equality)])).
% cnf(11826,negated_conjecture,(cons(hd(cons(esk57_0,nil)),nil)=cons(esk57_0,nil)|esk50_0=nil),inference(cn,[status(thm)],[11825,theory(equality)])).
% cnf(11832,negated_conjecture,(ssList(cons(esk57_0,nil))|esk50_0=nil|~ssList(nil)|~ssItem(hd(cons(esk57_0,nil)))),inference(spm,[status(thm)],[121,11826,theory(equality)])).
% cnf(11838,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)],[10835,11826,theory(equality)])).
% cnf(11887,negated_conjecture,(ssList(cons(esk57_0,nil))|esk50_0=nil|$false|~ssItem(hd(cons(esk57_0,nil)))),inference(rw,[status(thm)],[11832,122,theory(equality)])).
% cnf(11888,negated_conjecture,(ssList(cons(esk57_0,nil))|esk50_0=nil|~ssItem(hd(cons(esk57_0,nil)))),inference(cn,[status(thm)],[11887,theory(equality)])).
% cnf(11899,negated_conjecture,(esk50_0=nil|hd(cons(esk57_0,nil))=esk57_0|cons(esk57_0,nil)!=esk50_0|$false|~ssItem(hd(cons(esk57_0,nil)))),inference(rw,[status(thm)],[11838,122,theory(equality)])).
% cnf(11900,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)],[11899,theory(equality)])).
% cnf(11965,negated_conjecture,(esk50_0=nil|ssList(cons(esk57_0,nil))|~ssItem(esk57_0)|~ssList(nil)),inference(spm,[status(thm)],[11888,280,theory(equality)])).
% cnf(11969,negated_conjecture,(esk50_0=nil|ssList(cons(esk57_0,nil))|~ssItem(esk57_0)|$false),inference(rw,[status(thm)],[11965,122,theory(equality)])).
% cnf(11970,negated_conjecture,(esk50_0=nil|ssList(cons(esk57_0,nil))|~ssItem(esk57_0)),inference(cn,[status(thm)],[11969,theory(equality)])).
% cnf(11972,negated_conjecture,(esk50_0=nil|ssList(cons(esk57_0,nil))),inference(csr,[status(thm)],[11970,586])).
% cnf(11990,negated_conjecture,(hd(cons(esk57_0,nil))=esk57_0|esk50_0=nil|~ssItem(hd(cons(esk57_0,nil)))),inference(csr,[status(thm)],[11900,594])).
% cnf(11993,negated_conjecture,(hd(cons(esk57_0,nil))=esk57_0|esk50_0=nil|nil=cons(esk57_0,nil)|~ssList(cons(esk57_0,nil))),inference(spm,[status(thm)],[11990,294,theory(equality)])).
% cnf(11997,negated_conjecture,(hd(cons(esk57_0,nil))=esk57_0|cons(esk57_0,nil)=nil|esk50_0=nil),inference(csr,[status(thm)],[11993,11972])).
% cnf(11998,negated_conjecture,(hd(cons(esk57_0,nil))=esk57_0|esk50_0=nil),inference(csr,[status(thm)],[11997,7442])).
% cnf(12000,negated_conjecture,(cons(esk57_0,tl(cons(esk57_0,nil)))=cons(esk57_0,nil)|nil=cons(esk57_0,nil)|esk50_0=nil|~ssList(cons(esk57_0,nil))),inference(spm,[status(thm)],[456,11998,theory(equality)])).
% cnf(12193,negated_conjecture,(cons(esk57_0,tl(cons(esk57_0,nil)))=cons(esk57_0,nil)|cons(esk57_0,nil)=nil|esk50_0=nil),inference(csr,[status(thm)],[12000,11972])).
% cnf(12194,negated_conjecture,(cons(esk57_0,tl(cons(esk57_0,nil)))=cons(esk57_0,nil)|esk50_0=nil),inference(csr,[status(thm)],[12193,7442])).
% cnf(12373,negated_conjecture,(memberP(esk50_0,esk53_0)|~ssList(esk50_0)),inference(er,[status(thm)],[10753,theory(equality)])).
% cnf(12374,negated_conjecture,(memberP(esk50_0,esk53_0)|$false),inference(rw,[status(thm)],[12373,600,theory(equality)])).
% cnf(12375,negated_conjecture,(memberP(esk50_0,esk53_0)),inference(cn,[status(thm)],[12374,theory(equality)])).
% cnf(12381,negated_conjecture,(memberP(app(esk50_0,X1),esk53_0)|~ssList(X1)|~ssList(esk50_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[168,12375,theory(equality)])).
% cnf(12397,negated_conjecture,(memberP(app(esk50_0,X1),esk53_0)|~ssList(X1)|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[12381,600,theory(equality)])).
% cnf(12398,negated_conjecture,(memberP(app(esk50_0,X1),esk53_0)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[12397,582,theory(equality)])).
% cnf(12399,negated_conjecture,(memberP(app(esk50_0,X1),esk53_0)|~ssList(X1)),inference(cn,[status(thm)],[12398,theory(equality)])).
% cnf(12656,negated_conjecture,(memberP(cons(esk57_0,X1),esk53_0)|esk50_0=nil|~ssList(X1)),inference(spm,[status(thm)],[12399,5757,theory(equality)])).
% cnf(12699,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(esk50_0)|~ssList(app(esk55_0,cons(esk53_0,esk56_0)))|~ssList(esk54_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[943,2586,theory(equality)])).
% cnf(12765,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|~ssList(app(esk55_0,cons(esk53_0,esk56_0)))|~ssList(esk54_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[12699,600,theory(equality)])).
% cnf(12766,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)],[12765,581,theory(equality)])).
% cnf(12767,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|~ssList(app(esk55_0,cons(esk53_0,esk56_0)))|$false|$false),inference(rw,[status(thm)],[12766,583,theory(equality)])).
% cnf(12768,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(app(esk55_0,cons(esk53_0,esk56_0)))),inference(cn,[status(thm)],[12767,theory(equality)])).
% cnf(12863,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(cons(esk53_0,esk56_0))|~ssList(esk55_0)),inference(spm,[status(thm)],[12768,147,theory(equality)])).
% cnf(12864,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(cons(esk53_0,esk56_0))|$false),inference(rw,[status(thm)],[12863,580,theory(equality)])).
% cnf(12865,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(cons(esk53_0,esk56_0))),inference(cn,[status(thm)],[12864,theory(equality)])).
% cnf(12866,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(esk56_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[12865,121,theory(equality)])).
% cnf(12867,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[12866,579,theory(equality)])).
% cnf(12868,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|$false),inference(rw,[status(thm)],[12867,582,theory(equality)])).
% cnf(12869,negated_conjecture,(memberP(esk50_0,esk52_0)),inference(cn,[status(thm)],[12868,theory(equality)])).
% cnf(13728,negated_conjecture,(esk50_0=nil|memberP(cons(esk57_0,nil),esk53_0)|~ssList(tl(cons(esk57_0,nil)))),inference(spm,[status(thm)],[12656,12194,theory(equality)])).
% cnf(13756,negated_conjecture,(esk50_0=nil|memberP(cons(esk57_0,nil),esk53_0)|~ssList(nil)),inference(spm,[status(thm)],[13728,7055,theory(equality)])).
% cnf(13763,negated_conjecture,(esk50_0=nil|memberP(cons(esk57_0,nil),esk53_0)|$false),inference(rw,[status(thm)],[13756,122,theory(equality)])).
% cnf(13764,negated_conjecture,(esk50_0=nil|memberP(cons(esk57_0,nil),esk53_0)),inference(cn,[status(thm)],[13763,theory(equality)])).
% cnf(13773,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)],[176,13764,theory(equality)])).
% cnf(13788,negated_conjecture,(esk53_0=esk57_0|memberP(nil,esk53_0)|esk50_0=nil|$false|~ssItem(esk57_0)|~ssItem(esk53_0)),inference(rw,[status(thm)],[13773,122,theory(equality)])).
% cnf(13789,negated_conjecture,(esk53_0=esk57_0|memberP(nil,esk53_0)|esk50_0=nil|$false|~ssItem(esk57_0)|$false),inference(rw,[status(thm)],[13788,582,theory(equality)])).
% cnf(13790,negated_conjecture,(esk53_0=esk57_0|memberP(nil,esk53_0)|esk50_0=nil|~ssItem(esk57_0)),inference(cn,[status(thm)],[13789,theory(equality)])).
% cnf(13793,negated_conjecture,(esk53_0=esk57_0|esk50_0=nil|memberP(nil,esk53_0)),inference(csr,[status(thm)],[13790,586])).
% cnf(13800,negated_conjecture,(esk50_0=nil|esk53_0=esk57_0|~ssItem(esk53_0)),inference(spm,[status(thm)],[179,13793,theory(equality)])).
% cnf(13819,negated_conjecture,(esk50_0=nil|esk53_0=esk57_0|$false),inference(rw,[status(thm)],[13800,582,theory(equality)])).
% cnf(13820,negated_conjecture,(esk50_0=nil|esk53_0=esk57_0),inference(cn,[status(thm)],[13819,theory(equality)])).
% cnf(13822,negated_conjecture,(lt(esk57_0,esk52_0)|esk50_0=nil),inference(spm,[status(thm)],[577,13820,theory(equality)])).
% cnf(13824,negated_conjecture,(esk50_0=nil|~lt(esk52_0,esk57_0)),inference(spm,[status(thm)],[684,13820,theory(equality)])).
% cnf(37322,negated_conjecture,(esk50_0=nil|X1=esk57_0|memberP(nil,X1)|~memberP(esk50_0,X1)|~ssItem(X1)),inference(csr,[status(thm)],[1080,586])).
% cnf(37323,negated_conjecture,(esk50_0=nil|X1=esk57_0|~memberP(esk50_0,X1)|~ssItem(X1)),inference(csr,[status(thm)],[37322,179])).
% cnf(37325,negated_conjecture,(esk50_0=nil|esk52_0=esk57_0|~ssItem(esk52_0)),inference(spm,[status(thm)],[37323,12869,theory(equality)])).
% cnf(37330,negated_conjecture,(esk50_0=nil|esk52_0=esk57_0|$false),inference(rw,[status(thm)],[37325,583,theory(equality)])).
% cnf(37331,negated_conjecture,(esk50_0=nil|esk52_0=esk57_0),inference(cn,[status(thm)],[37330,theory(equality)])).
% cnf(37491,negated_conjecture,(esk50_0=nil|lt(esk57_0,esk57_0)),inference(spm,[status(thm)],[13822,37331,theory(equality)])).
% cnf(37494,negated_conjecture,(esk50_0=nil|~lt(esk57_0,esk57_0)),inference(spm,[status(thm)],[13824,37331,theory(equality)])).
% cnf(38297,negated_conjecture,(esk50_0=nil),inference(csr,[status(thm)],[37491,37494])).
% cnf(38773,negated_conjecture,(memberP(nil,esk52_0)),inference(rw,[status(thm)],[12869,38297,theory(equality)])).
% cnf(39605,negated_conjecture,(~ssItem(esk52_0)),inference(spm,[status(thm)],[179,38773,theory(equality)])).
% cnf(39627,negated_conjecture,($false),inference(rw,[status(thm)],[39605,583,theory(equality)])).
% cnf(39628,negated_conjecture,($false),inference(cn,[status(thm)],[39627,theory(equality)])).
% cnf(39629,negated_conjecture,($false),39628,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 2474
% # ...of these trivial                : 84
% # ...subsumed                        : 921
% # ...remaining for further processing: 1469
% # Other redundant clauses eliminated : 140
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 240
% # Backward-rewritten                 : 903
% # Generated clauses                  : 15307
% # ...of the previous two non-trivial : 14458
% # Contextual simplify-reflections    : 1054
% # Paramodulations                    : 15115
% # Factorizations                     : 0
% # Equation resolutions               : 192
% # Current number of processed clauses: 320
% #    Positive orientable unit clauses: 32
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 4
% #    Non-unit-clauses                : 284
% # Current number of unprocessed clauses: 2616
% # ...number of literals in the above : 16208
% # Clause-clause subsumption calls (NU) : 147371
% # Rec. Clause-clause subsumption calls : 102208
% # Unit Clause-clause subsumption calls : 2822
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 256
% # Indexed BW rewrite successes       : 62
% # Backwards rewriting index:   309 leaves,   1.39+/-1.177 terms/leaf
% # Paramod-from index:          162 leaves,   1.00+/-0.000 terms/leaf
% # Paramod-into index:          277 leaves,   1.25+/-1.040 terms/leaf
% # -------------------------------------------------
% # User time              : 0.985 s
% # System time            : 0.024 s
% # Total time             : 1.009 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.70 CPU 1.79 WC
% FINAL PrfWatch: 1.70 CPU 1.79 WC
% SZS output end Solution for /tmp/SystemOnTPTP28394/SWC299+1.tptp
% 
%------------------------------------------------------------------------------