TSTP Solution File: SWC178+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC178+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 : art04.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 07:17:13 EST 2010
% Result : Theorem 1.54s
% Output : Solution 1.54s
% 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/SystemOnTPTP31323/SWC178+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP31323/SWC178+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP31323/SWC178+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 31419
% 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(1, axiom,![X1]:(ssItem(X1)=>![X2]:(ssItem(X2)=>(neq(X1,X2)<=>~(X1=X2)))),file('/tmp/SRASS.s.p', ax1)).
% fof(3, axiom,![X1]:(ssList(X1)=>(singletonP(X1)<=>?[X2]:(ssItem(X2)&cons(X2,nil)=X1))),file('/tmp/SRASS.s.p', ax4)).
% fof(5, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(neq(X1,X2)<=>~(X1=X2)))),file('/tmp/SRASS.s.p', ax15)).
% fof(6, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>ssList(cons(X2,X1)))),file('/tmp/SRASS.s.p', ax16)).
% fof(7, axiom,ssList(nil),file('/tmp/SRASS.s.p', ax17)).
% fof(11, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>~(nil=cons(X2,X1)))),file('/tmp/SRASS.s.p', ax21)).
% fof(12, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>ssList(app(X1,X2)))),file('/tmp/SRASS.s.p', ax26)).
% fof(13, 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(14, axiom,![X1]:(ssList(X1)=>app(nil,X1)=X1),file('/tmp/SRASS.s.p', ax28)).
% fof(17, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>((segmentP(X1,X2)&segmentP(X2,X1))=>X1=X2))),file('/tmp/SRASS.s.p', ax54)).
% fof(20, axiom,![X1]:(ssList(X1)=>segmentP(X1,nil)),file('/tmp/SRASS.s.p', ax57)).
% fof(23, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>(app(X2,X3)=app(X2,X1)=>X3=X1)))),file('/tmp/SRASS.s.p', ax80)).
% fof(24, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>cons(X2,X1)=app(cons(X2,nil),X1))),file('/tmp/SRASS.s.p', ax81)).
% fof(25, 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(26, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(nil=app(X1,X2)<=>(nil=X2&nil=X1)))),file('/tmp/SRASS.s.p', ax83)).
% fof(27, axiom,![X1]:(ssList(X1)=>app(X1,nil)=X1),file('/tmp/SRASS.s.p', ax84)).
% fof(32, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(~(nil=X1)=>tl(app(X1,X2))=app(tl(X1),X2)))),file('/tmp/SRASS.s.p', ax86)).
% fof(33, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>hd(cons(X2,X1))=X2)),file('/tmp/SRASS.s.p', ax23)).
% fof(34, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>tl(cons(X2,X1))=X1)),file('/tmp/SRASS.s.p', ax25)).
% fof(49, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>ssList(tl(X1)))),file('/tmp/SRASS.s.p', ax24)).
% fof(60, 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))|~(segmentP(X4,X3)))|![X5]:(ssItem(X5)=>![X6]:(ssItem(X6)=>(![X7]:(ssList(X7)=>![X8]:(ssList(X8)=>~(app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8)=X1)))|neq(X5,X6)))))|(~(singletonP(X3))&neq(X4,nil))))))),file('/tmp/SRASS.s.p', co1)).
% fof(97, negated_conjecture,~(![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(ssList(X4)=>((((~(X2=X4)|~(X1=X3))|~(segmentP(X4,X3)))|![X5]:(ssItem(X5)=>![X6]:(ssItem(X6)=>(![X7]:(ssList(X7)=>![X8]:(ssList(X8)=>~(app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8)=X1)))|neq(X5,X6)))))|(~(singletonP(X3))&neq(X4,nil)))))))),inference(assume_negation,[status(cth)],[96])).
% fof(103, negated_conjecture,~(![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(ssList(X4)=>((((~(X2=X4)|~(X1=X3))|~(segmentP(X4,X3)))|![X5]:(ssItem(X5)=>![X6]:(ssItem(X6)=>(![X7]:(ssList(X7)=>![X8]:(ssList(X8)=>~(app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8)=X1)))|neq(X5,X6)))))|(~(singletonP(X3))&neq(X4,nil)))))))),inference(fof_simplification,[status(thm)],[97,theory(equality)])).
% fof(104, plain,![X1]:(~(ssItem(X1))|![X2]:(~(ssItem(X2))|((~(neq(X1,X2))|~(X1=X2))&(X1=X2|neq(X1,X2))))),inference(fof_nnf,[status(thm)],[1])).
% fof(105, plain,![X3]:(~(ssItem(X3))|![X4]:(~(ssItem(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))),inference(variable_rename,[status(thm)],[104])).
% fof(106, plain,![X3]:![X4]:((~(ssItem(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))|~(ssItem(X3))),inference(shift_quantors,[status(thm)],[105])).
% fof(107, plain,![X3]:![X4]:((((~(neq(X3,X4))|~(X3=X4))|~(ssItem(X4)))|~(ssItem(X3)))&(((X3=X4|neq(X3,X4))|~(ssItem(X4)))|~(ssItem(X3)))),inference(distribute,[status(thm)],[106])).
% cnf(108,plain,(neq(X1,X2)|X1=X2|~ssItem(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[107])).
% fof(115, 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)],[3])).
% fof(116, 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)],[115])).
% fof(117, plain,![X3]:(~(ssList(X3))|((~(singletonP(X3))|(ssItem(esk3_1(X3))&cons(esk3_1(X3),nil)=X3))&(![X5]:(~(ssItem(X5))|~(cons(X5,nil)=X3))|singletonP(X3)))),inference(skolemize,[status(esa)],[116])).
% fof(118, plain,![X3]:![X5]:((((~(ssItem(X5))|~(cons(X5,nil)=X3))|singletonP(X3))&(~(singletonP(X3))|(ssItem(esk3_1(X3))&cons(esk3_1(X3),nil)=X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[117])).
% fof(119, plain,![X3]:![X5]:((((~(ssItem(X5))|~(cons(X5,nil)=X3))|singletonP(X3))|~(ssList(X3)))&(((ssItem(esk3_1(X3))|~(singletonP(X3)))|~(ssList(X3)))&((cons(esk3_1(X3),nil)=X3|~(singletonP(X3)))|~(ssList(X3))))),inference(distribute,[status(thm)],[118])).
% cnf(120,plain,(cons(esk3_1(X1),nil)=X1|~ssList(X1)|~singletonP(X1)),inference(split_conjunct,[status(thm)],[119])).
% cnf(121,plain,(ssItem(esk3_1(X1))|~ssList(X1)|~singletonP(X1)),inference(split_conjunct,[status(thm)],[119])).
% fof(132, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(neq(X1,X2))|~(X1=X2))&(X1=X2|neq(X1,X2))))),inference(fof_nnf,[status(thm)],[5])).
% fof(133, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))),inference(variable_rename,[status(thm)],[132])).
% fof(134, plain,![X3]:![X4]:((~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[133])).
% fof(135, plain,![X3]:![X4]:((((~(neq(X3,X4))|~(X3=X4))|~(ssList(X4)))|~(ssList(X3)))&(((X3=X4|neq(X3,X4))|~(ssList(X4)))|~(ssList(X3)))),inference(distribute,[status(thm)],[134])).
% cnf(136,plain,(neq(X1,X2)|X1=X2|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[135])).
% fof(138, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|ssList(cons(X2,X1)))),inference(fof_nnf,[status(thm)],[6])).
% fof(139, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|ssList(cons(X4,X3)))),inference(variable_rename,[status(thm)],[138])).
% fof(140, plain,![X3]:![X4]:((~(ssItem(X4))|ssList(cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[139])).
% cnf(141,plain,(ssList(cons(X2,X1))|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[140])).
% cnf(142,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[7])).
% fof(160, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|~(nil=cons(X2,X1)))),inference(fof_nnf,[status(thm)],[11])).
% fof(161, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|~(nil=cons(X4,X3)))),inference(variable_rename,[status(thm)],[160])).
% fof(162, plain,![X3]:![X4]:((~(ssItem(X4))|~(nil=cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[161])).
% cnf(163,plain,(~ssList(X1)|nil!=cons(X2,X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[162])).
% fof(164, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|ssList(app(X1,X2)))),inference(fof_nnf,[status(thm)],[12])).
% fof(165, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|ssList(app(X3,X4)))),inference(variable_rename,[status(thm)],[164])).
% fof(166, plain,![X3]:![X4]:((~(ssList(X4))|ssList(app(X3,X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[165])).
% cnf(167,plain,(ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[166])).
% fof(168, 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)],[13])).
% fof(169, 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)],[168])).
% fof(170, 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)],[169])).
% cnf(171,plain,(cons(X3,app(X2,X1))=app(cons(X3,X2),X1)|~ssList(X1)|~ssList(X2)|~ssItem(X3)),inference(split_conjunct,[status(thm)],[170])).
% fof(172, plain,![X1]:(~(ssList(X1))|app(nil,X1)=X1),inference(fof_nnf,[status(thm)],[14])).
% fof(173, plain,![X2]:(~(ssList(X2))|app(nil,X2)=X2),inference(variable_rename,[status(thm)],[172])).
% cnf(174,plain,(app(nil,X1)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[173])).
% fof(180, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(segmentP(X1,X2))|~(segmentP(X2,X1)))|X1=X2))),inference(fof_nnf,[status(thm)],[17])).
% fof(181, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(segmentP(X3,X4))|~(segmentP(X4,X3)))|X3=X4))),inference(variable_rename,[status(thm)],[180])).
% fof(182, plain,![X3]:![X4]:((~(ssList(X4))|((~(segmentP(X3,X4))|~(segmentP(X4,X3)))|X3=X4))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[181])).
% cnf(183,plain,(X1=X2|~ssList(X1)|~segmentP(X2,X1)|~segmentP(X1,X2)|~ssList(X2)),inference(split_conjunct,[status(thm)],[182])).
% fof(191, plain,![X1]:(~(ssList(X1))|segmentP(X1,nil)),inference(fof_nnf,[status(thm)],[20])).
% fof(192, plain,![X2]:(~(ssList(X2))|segmentP(X2,nil)),inference(variable_rename,[status(thm)],[191])).
% cnf(193,plain,(segmentP(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[192])).
% fof(203, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X2,X3)=app(X2,X1))|X3=X1)))),inference(fof_nnf,[status(thm)],[23])).
% fof(204, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4)))),inference(variable_rename,[status(thm)],[203])).
% fof(205, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[204])).
% cnf(206,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X2,X3)!=app(X2,X1)|~ssList(X3)),inference(split_conjunct,[status(thm)],[205])).
% fof(207, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|cons(X2,X1)=app(cons(X2,nil),X1))),inference(fof_nnf,[status(thm)],[24])).
% fof(208, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))),inference(variable_rename,[status(thm)],[207])).
% fof(209, plain,![X3]:![X4]:((~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[208])).
% cnf(210,plain,(cons(X2,X1)=app(cons(X2,nil),X1)|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[209])).
% fof(211, 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)],[25])).
% fof(212, 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)],[211])).
% fof(213, 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)],[212])).
% cnf(214,plain,(app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X1)|~ssList(X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[213])).
% fof(215, 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)],[26])).
% fof(216, 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)],[215])).
% fof(217, 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)],[216])).
% fof(218, 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)],[217])).
% cnf(220,plain,(nil=X1|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[218])).
% cnf(221,plain,(nil=X2|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[218])).
% fof(222, plain,![X1]:(~(ssList(X1))|app(X1,nil)=X1),inference(fof_nnf,[status(thm)],[27])).
% fof(223, plain,![X2]:(~(ssList(X2))|app(X2,nil)=X2),inference(variable_rename,[status(thm)],[222])).
% cnf(224,plain,(app(X1,nil)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[223])).
% fof(263, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|(nil=X1|tl(app(X1,X2))=app(tl(X1),X2)))),inference(fof_nnf,[status(thm)],[32])).
% fof(264, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|(nil=X3|tl(app(X3,X4))=app(tl(X3),X4)))),inference(variable_rename,[status(thm)],[263])).
% fof(265, plain,![X3]:![X4]:((~(ssList(X4))|(nil=X3|tl(app(X3,X4))=app(tl(X3),X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[264])).
% cnf(266,plain,(tl(app(X1,X2))=app(tl(X1),X2)|nil=X1|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[265])).
% fof(267, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|hd(cons(X2,X1))=X2)),inference(fof_nnf,[status(thm)],[33])).
% fof(268, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|hd(cons(X4,X3))=X4)),inference(variable_rename,[status(thm)],[267])).
% fof(269, plain,![X3]:![X4]:((~(ssItem(X4))|hd(cons(X4,X3))=X4)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[268])).
% cnf(270,plain,(hd(cons(X2,X1))=X2|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[269])).
% fof(271, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|tl(cons(X2,X1))=X1)),inference(fof_nnf,[status(thm)],[34])).
% fof(272, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|tl(cons(X4,X3))=X3)),inference(variable_rename,[status(thm)],[271])).
% fof(273, plain,![X3]:![X4]:((~(ssItem(X4))|tl(cons(X4,X3))=X3)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[272])).
% cnf(274,plain,(tl(cons(X2,X1))=X1|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[273])).
% fof(342, plain,![X1]:(~(ssList(X1))|(nil=X1|ssList(tl(X1)))),inference(fof_nnf,[status(thm)],[49])).
% fof(343, plain,![X2]:(~(ssList(X2))|(nil=X2|ssList(tl(X2)))),inference(variable_rename,[status(thm)],[342])).
% cnf(344,plain,(ssList(tl(X1))|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[343])).
% fof(437, plain,![X1]:(~(ssList(X1))|(nil=X1|cons(hd(X1),tl(X1))=X1)),inference(fof_nnf,[status(thm)],[60])).
% fof(438, plain,![X2]:(~(ssList(X2))|(nil=X2|cons(hd(X2),tl(X2))=X2)),inference(variable_rename,[status(thm)],[437])).
% cnf(439,plain,(cons(hd(X1),tl(X1))=X1|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[438])).
% fof(568, negated_conjecture,?[X1]:(ssList(X1)&?[X2]:(ssList(X2)&?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&((((X2=X4&X1=X3)&segmentP(X4,X3))&?[X5]:(ssItem(X5)&?[X6]:(ssItem(X6)&(?[X7]:(ssList(X7)&?[X8]:(ssList(X8)&app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8)=X1))&~(neq(X5,X6))))))&(singletonP(X3)|~(neq(X4,nil)))))))),inference(fof_nnf,[status(thm)],[103])).
% fof(569, negated_conjecture,?[X9]:(ssList(X9)&?[X10]:(ssList(X10)&?[X11]:(ssList(X11)&?[X12]:(ssList(X12)&((((X10=X12&X9=X11)&segmentP(X12,X11))&?[X13]:(ssItem(X13)&?[X14]:(ssItem(X14)&(?[X15]:(ssList(X15)&?[X16]:(ssList(X16)&app(app(app(X15,cons(X13,nil)),cons(X14,nil)),X16)=X9))&~(neq(X13,X14))))))&(singletonP(X11)|~(neq(X12,nil)))))))),inference(variable_rename,[status(thm)],[568])).
% fof(570, negated_conjecture,(ssList(esk48_0)&(ssList(esk49_0)&(ssList(esk50_0)&(ssList(esk51_0)&((((esk49_0=esk51_0&esk48_0=esk50_0)&segmentP(esk51_0,esk50_0))&(ssItem(esk52_0)&(ssItem(esk53_0)&((ssList(esk54_0)&(ssList(esk55_0)&app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0)=esk48_0))&~(neq(esk52_0,esk53_0))))))&(singletonP(esk50_0)|~(neq(esk51_0,nil)))))))),inference(skolemize,[status(esa)],[569])).
% cnf(571,negated_conjecture,(singletonP(esk50_0)|~neq(esk51_0,nil)),inference(split_conjunct,[status(thm)],[570])).
% cnf(572,negated_conjecture,(~neq(esk52_0,esk53_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(573,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0)=esk48_0),inference(split_conjunct,[status(thm)],[570])).
% cnf(574,negated_conjecture,(ssList(esk55_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(575,negated_conjecture,(ssList(esk54_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(576,negated_conjecture,(ssItem(esk53_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(577,negated_conjecture,(ssItem(esk52_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(578,negated_conjecture,(segmentP(esk51_0,esk50_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(579,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[570])).
% cnf(580,negated_conjecture,(esk49_0=esk51_0),inference(split_conjunct,[status(thm)],[570])).
% cnf(583,negated_conjecture,(ssList(esk49_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(584,negated_conjecture,(ssList(esk48_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(585,negated_conjecture,(ssList(esk50_0)),inference(rw,[status(thm)],[584,579,theory(equality)])).
% cnf(586,negated_conjecture,(ssList(esk51_0)),inference(rw,[status(thm)],[583,580,theory(equality)])).
% cnf(589,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0)=esk50_0),inference(rw,[status(thm)],[573,579,theory(equality)])).
% cnf(660,plain,(tl(X1)=nil|~ssList(nil)|~ssItem(esk3_1(X1))|~singletonP(X1)|~ssList(X1)),inference(spm,[status(thm)],[274,120,theory(equality)])).
% cnf(661,plain,(tl(X1)=nil|$false|~ssItem(esk3_1(X1))|~singletonP(X1)|~ssList(X1)),inference(rw,[status(thm)],[660,142,theory(equality)])).
% cnf(662,plain,(tl(X1)=nil|~ssItem(esk3_1(X1))|~singletonP(X1)|~ssList(X1)),inference(cn,[status(thm)],[661,theory(equality)])).
% cnf(663,negated_conjecture,(esk52_0=esk53_0|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[572,108,theory(equality)])).
% cnf(665,negated_conjecture,(esk52_0=esk53_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[663,576,theory(equality)])).
% cnf(666,negated_conjecture,(esk52_0=esk53_0|$false|$false),inference(rw,[status(thm)],[665,577,theory(equality)])).
% cnf(667,negated_conjecture,(esk52_0=esk53_0),inference(cn,[status(thm)],[666,theory(equality)])).
% cnf(669,negated_conjecture,(singletonP(esk50_0)|esk51_0=nil|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[571,136,theory(equality)])).
% cnf(670,negated_conjecture,(singletonP(esk50_0)|esk51_0=nil|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[669,142,theory(equality)])).
% cnf(671,negated_conjecture,(singletonP(esk50_0)|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[670,586,theory(equality)])).
% cnf(672,negated_conjecture,(singletonP(esk50_0)|esk51_0=nil),inference(cn,[status(thm)],[671,theory(equality)])).
% cnf(698,negated_conjecture,(esk50_0=esk51_0|~segmentP(esk50_0,esk51_0)|~ssList(esk51_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[183,578,theory(equality)])).
% cnf(700,negated_conjecture,(esk50_0=esk51_0|~segmentP(esk50_0,esk51_0)|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[698,586,theory(equality)])).
% cnf(701,negated_conjecture,(esk50_0=esk51_0|~segmentP(esk50_0,esk51_0)|$false|$false),inference(rw,[status(thm)],[700,585,theory(equality)])).
% cnf(702,negated_conjecture,(esk50_0=esk51_0|~segmentP(esk50_0,esk51_0)),inference(cn,[status(thm)],[701,theory(equality)])).
% cnf(728,plain,(X1=nil|app(X2,X1)!=X2|~ssList(nil)|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[206,224,theory(equality)])).
% cnf(737,plain,(X1=nil|app(X2,X1)!=X2|$false|~ssList(X2)|~ssList(X1)),inference(rw,[status(thm)],[728,142,theory(equality)])).
% cnf(738,plain,(X1=nil|app(X2,X1)!=X2|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[737,theory(equality)])).
% cnf(1383,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk52_0,nil)),esk55_0)=esk50_0),inference(rw,[status(thm)],[589,667,theory(equality)])).
% cnf(1580,negated_conjecture,(esk50_0=app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_0,nil),esk55_0))|~ssList(esk55_0)|~ssList(cons(esk52_0,nil))|~ssList(app(esk54_0,cons(esk52_0,nil)))),inference(spm,[status(thm)],[214,1383,theory(equality)])).
% cnf(1582,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk52_0,nil))),esk55_0)=esk50_0|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(spm,[status(thm)],[1383,214,theory(equality)])).
% cnf(1612,negated_conjecture,(esk50_0=app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_0,nil),esk55_0))|$false|~ssList(cons(esk52_0,nil))|~ssList(app(esk54_0,cons(esk52_0,nil)))),inference(rw,[status(thm)],[1580,574,theory(equality)])).
% cnf(1613,negated_conjecture,(esk50_0=app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_0,nil),esk55_0))|~ssList(cons(esk52_0,nil))|~ssList(app(esk54_0,cons(esk52_0,nil)))),inference(cn,[status(thm)],[1612,theory(equality)])).
% cnf(1616,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk52_0,nil))),esk55_0)=esk50_0|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[1582,575,theory(equality)])).
% cnf(1617,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk52_0,nil))),esk55_0)=esk50_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[1616,theory(equality)])).
% cnf(1618,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk52_0,nil))),esk55_0)=esk50_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1617,141,theory(equality)])).
% cnf(1619,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk52_0,nil))),esk55_0)=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1618,142,theory(equality)])).
% cnf(1620,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk52_0,nil))),esk55_0)=esk50_0|$false|$false),inference(rw,[status(thm)],[1619,577,theory(equality)])).
% cnf(1621,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk52_0,nil))),esk55_0)=esk50_0),inference(cn,[status(thm)],[1620,theory(equality)])).
% cnf(1639,negated_conjecture,(app(app(esk54_0,cons(esk52_0,cons(esk52_0,nil))),esk55_0)=esk50_0|~ssList(cons(esk52_0,nil))|~ssItem(esk52_0)),inference(spm,[status(thm)],[1621,210,theory(equality)])).
% cnf(1679,negated_conjecture,(app(app(esk54_0,cons(esk52_0,cons(esk52_0,nil))),esk55_0)=esk50_0|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[1639,577,theory(equality)])).
% cnf(1680,negated_conjecture,(app(app(esk54_0,cons(esk52_0,cons(esk52_0,nil))),esk55_0)=esk50_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[1679,theory(equality)])).
% cnf(1681,negated_conjecture,(app(app(esk54_0,cons(esk52_0,cons(esk52_0,nil))),esk55_0)=esk50_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1680,141,theory(equality)])).
% cnf(1682,negated_conjecture,(app(app(esk54_0,cons(esk52_0,cons(esk52_0,nil))),esk55_0)=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1681,142,theory(equality)])).
% cnf(1683,negated_conjecture,(app(app(esk54_0,cons(esk52_0,cons(esk52_0,nil))),esk55_0)=esk50_0|$false|$false),inference(rw,[status(thm)],[1682,577,theory(equality)])).
% cnf(1684,negated_conjecture,(app(app(esk54_0,cons(esk52_0,cons(esk52_0,nil))),esk55_0)=esk50_0),inference(cn,[status(thm)],[1683,theory(equality)])).
% cnf(1695,negated_conjecture,(nil=esk55_0|esk50_0!=nil|~ssList(esk55_0)|~ssList(app(esk54_0,cons(esk52_0,cons(esk52_0,nil))))),inference(spm,[status(thm)],[221,1684,theory(equality)])).
% cnf(1699,negated_conjecture,(esk50_0=app(esk54_0,app(cons(esk52_0,cons(esk52_0,nil)),esk55_0))|~ssList(esk55_0)|~ssList(cons(esk52_0,cons(esk52_0,nil)))|~ssList(esk54_0)),inference(spm,[status(thm)],[214,1684,theory(equality)])).
% cnf(1723,negated_conjecture,(nil=esk55_0|esk50_0!=nil|$false|~ssList(app(esk54_0,cons(esk52_0,cons(esk52_0,nil))))),inference(rw,[status(thm)],[1695,574,theory(equality)])).
% cnf(1724,negated_conjecture,(nil=esk55_0|esk50_0!=nil|~ssList(app(esk54_0,cons(esk52_0,cons(esk52_0,nil))))),inference(cn,[status(thm)],[1723,theory(equality)])).
% cnf(1731,negated_conjecture,(esk50_0=app(esk54_0,app(cons(esk52_0,cons(esk52_0,nil)),esk55_0))|$false|~ssList(cons(esk52_0,cons(esk52_0,nil)))|~ssList(esk54_0)),inference(rw,[status(thm)],[1699,574,theory(equality)])).
% cnf(1732,negated_conjecture,(esk50_0=app(esk54_0,app(cons(esk52_0,cons(esk52_0,nil)),esk55_0))|$false|~ssList(cons(esk52_0,cons(esk52_0,nil)))|$false),inference(rw,[status(thm)],[1731,575,theory(equality)])).
% cnf(1733,negated_conjecture,(esk50_0=app(esk54_0,app(cons(esk52_0,cons(esk52_0,nil)),esk55_0))|~ssList(cons(esk52_0,cons(esk52_0,nil)))),inference(cn,[status(thm)],[1732,theory(equality)])).
% cnf(1737,negated_conjecture,(app(esk54_0,app(cons(esk52_0,cons(esk52_0,nil)),esk55_0))=esk50_0|~ssList(cons(esk52_0,nil))|~ssItem(esk52_0)),inference(spm,[status(thm)],[1733,141,theory(equality)])).
% cnf(1738,negated_conjecture,(app(esk54_0,app(cons(esk52_0,cons(esk52_0,nil)),esk55_0))=esk50_0|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[1737,577,theory(equality)])).
% cnf(1739,negated_conjecture,(app(esk54_0,app(cons(esk52_0,cons(esk52_0,nil)),esk55_0))=esk50_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[1738,theory(equality)])).
% cnf(1740,negated_conjecture,(app(esk54_0,app(cons(esk52_0,cons(esk52_0,nil)),esk55_0))=esk50_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1739,141,theory(equality)])).
% cnf(1741,negated_conjecture,(app(esk54_0,app(cons(esk52_0,cons(esk52_0,nil)),esk55_0))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1740,142,theory(equality)])).
% cnf(1742,negated_conjecture,(app(esk54_0,app(cons(esk52_0,cons(esk52_0,nil)),esk55_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[1741,577,theory(equality)])).
% cnf(1743,negated_conjecture,(app(esk54_0,app(cons(esk52_0,cons(esk52_0,nil)),esk55_0))=esk50_0),inference(cn,[status(thm)],[1742,theory(equality)])).
% cnf(1758,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk52_0,nil),esk55_0)))=esk50_0|~ssList(cons(esk52_0,nil))|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1743,171,theory(equality)])).
% cnf(1790,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk52_0,nil),esk55_0)))=esk50_0|~ssList(cons(esk52_0,nil))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1758,574,theory(equality)])).
% cnf(1791,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk52_0,nil),esk55_0)))=esk50_0|~ssList(cons(esk52_0,nil))|$false|$false),inference(rw,[status(thm)],[1790,577,theory(equality)])).
% cnf(1792,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk52_0,nil),esk55_0)))=esk50_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[1791,theory(equality)])).
% cnf(1793,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk52_0,nil),esk55_0)))=esk50_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1792,141,theory(equality)])).
% cnf(1794,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk52_0,nil),esk55_0)))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1793,142,theory(equality)])).
% cnf(1795,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk52_0,nil),esk55_0)))=esk50_0|$false|$false),inference(rw,[status(thm)],[1794,577,theory(equality)])).
% cnf(1796,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk52_0,nil),esk55_0)))=esk50_0),inference(cn,[status(thm)],[1795,theory(equality)])).
% cnf(1818,negated_conjecture,(app(esk54_0,cons(esk52_0,cons(esk52_0,esk55_0)))=esk50_0|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1796,210,theory(equality)])).
% cnf(1871,negated_conjecture,(app(esk54_0,cons(esk52_0,cons(esk52_0,esk55_0)))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1818,574,theory(equality)])).
% cnf(1872,negated_conjecture,(app(esk54_0,cons(esk52_0,cons(esk52_0,esk55_0)))=esk50_0|$false|$false),inference(rw,[status(thm)],[1871,577,theory(equality)])).
% cnf(1873,negated_conjecture,(app(esk54_0,cons(esk52_0,cons(esk52_0,esk55_0)))=esk50_0),inference(cn,[status(thm)],[1872,theory(equality)])).
% cnf(1874,negated_conjecture,(nil=esk54_0|esk50_0!=nil|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))|~ssList(esk54_0)),inference(spm,[status(thm)],[220,1873,theory(equality)])).
% cnf(1877,negated_conjecture,(tl(esk50_0)=app(tl(esk54_0),cons(esk52_0,cons(esk52_0,esk55_0)))|nil=esk54_0|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))|~ssList(esk54_0)),inference(spm,[status(thm)],[266,1873,theory(equality)])).
% cnf(1884,negated_conjecture,(nil=cons(esk52_0,cons(esk52_0,esk55_0))|esk50_0!=nil|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))|~ssList(esk54_0)),inference(spm,[status(thm)],[221,1873,theory(equality)])).
% cnf(1894,negated_conjecture,(nil=esk54_0|esk50_0!=nil|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))|$false),inference(rw,[status(thm)],[1874,575,theory(equality)])).
% cnf(1895,negated_conjecture,(nil=esk54_0|esk50_0!=nil|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))),inference(cn,[status(thm)],[1894,theory(equality)])).
% cnf(1901,negated_conjecture,(tl(esk50_0)=app(tl(esk54_0),cons(esk52_0,cons(esk52_0,esk55_0)))|nil=esk54_0|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))|$false),inference(rw,[status(thm)],[1877,575,theory(equality)])).
% cnf(1902,negated_conjecture,(tl(esk50_0)=app(tl(esk54_0),cons(esk52_0,cons(esk52_0,esk55_0)))|nil=esk54_0|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))),inference(cn,[status(thm)],[1901,theory(equality)])).
% cnf(1915,negated_conjecture,(nil=cons(esk52_0,cons(esk52_0,esk55_0))|esk50_0!=nil|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))|$false),inference(rw,[status(thm)],[1884,575,theory(equality)])).
% cnf(1916,negated_conjecture,(nil=cons(esk52_0,cons(esk52_0,esk55_0))|esk50_0!=nil|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))),inference(cn,[status(thm)],[1915,theory(equality)])).
% cnf(2695,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_0,nil),esk55_0))=esk50_0|~ssList(app(esk54_0,cons(esk52_0,nil)))|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1613,141,theory(equality)])).
% cnf(2696,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_0,nil),esk55_0))=esk50_0|~ssList(app(esk54_0,cons(esk52_0,nil)))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2695,142,theory(equality)])).
% cnf(2697,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_0,nil),esk55_0))=esk50_0|~ssList(app(esk54_0,cons(esk52_0,nil)))|$false|$false),inference(rw,[status(thm)],[2696,577,theory(equality)])).
% cnf(2698,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_0,nil),esk55_0))=esk50_0|~ssList(app(esk54_0,cons(esk52_0,nil)))),inference(cn,[status(thm)],[2697,theory(equality)])).
% cnf(2699,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_0,nil),esk55_0))=esk50_0|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(spm,[status(thm)],[2698,167,theory(equality)])).
% cnf(2700,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_0,nil),esk55_0))=esk50_0|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[2699,575,theory(equality)])).
% cnf(2701,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_0,nil),esk55_0))=esk50_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[2700,theory(equality)])).
% cnf(2702,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_0,nil),esk55_0))=esk50_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[2701,141,theory(equality)])).
% cnf(2703,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_0,nil),esk55_0))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2702,142,theory(equality)])).
% cnf(2704,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_0,nil),esk55_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[2703,577,theory(equality)])).
% cnf(2705,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_0,nil),esk55_0))=esk50_0),inference(cn,[status(thm)],[2704,theory(equality)])).
% cnf(2723,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),cons(esk52_0,esk55_0))=esk50_0|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[2705,210,theory(equality)])).
% cnf(2736,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),cons(esk52_0,esk55_0))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2723,574,theory(equality)])).
% cnf(2737,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),cons(esk52_0,esk55_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[2736,577,theory(equality)])).
% cnf(2738,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),cons(esk52_0,esk55_0))=esk50_0),inference(cn,[status(thm)],[2737,theory(equality)])).
% cnf(3505,negated_conjecture,(app(tl(esk54_0),cons(esk52_0,cons(esk52_0,esk55_0)))=tl(esk50_0)|esk54_0=nil|~ssList(cons(esk52_0,esk55_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[1902,141,theory(equality)])).
% cnf(3506,negated_conjecture,(app(tl(esk54_0),cons(esk52_0,cons(esk52_0,esk55_0)))=tl(esk50_0)|esk54_0=nil|~ssList(cons(esk52_0,esk55_0))|$false),inference(rw,[status(thm)],[3505,577,theory(equality)])).
% cnf(3507,negated_conjecture,(app(tl(esk54_0),cons(esk52_0,cons(esk52_0,esk55_0)))=tl(esk50_0)|esk54_0=nil|~ssList(cons(esk52_0,esk55_0))),inference(cn,[status(thm)],[3506,theory(equality)])).
% cnf(3508,negated_conjecture,(app(tl(esk54_0),cons(esk52_0,cons(esk52_0,esk55_0)))=tl(esk50_0)|esk54_0=nil|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[3507,141,theory(equality)])).
% cnf(3509,negated_conjecture,(app(tl(esk54_0),cons(esk52_0,cons(esk52_0,esk55_0)))=tl(esk50_0)|esk54_0=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3508,574,theory(equality)])).
% cnf(3510,negated_conjecture,(app(tl(esk54_0),cons(esk52_0,cons(esk52_0,esk55_0)))=tl(esk50_0)|esk54_0=nil|$false|$false),inference(rw,[status(thm)],[3509,577,theory(equality)])).
% cnf(3511,negated_conjecture,(app(tl(esk54_0),cons(esk52_0,cons(esk52_0,esk55_0)))=tl(esk50_0)|esk54_0=nil),inference(cn,[status(thm)],[3510,theory(equality)])).
% cnf(3522,negated_conjecture,(nil=cons(esk52_0,cons(esk52_0,esk55_0))|esk54_0=nil|tl(esk50_0)!=nil|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))|~ssList(tl(esk54_0))),inference(spm,[status(thm)],[221,3511,theory(equality)])).
% cnf(3569,plain,(tl(X1)=nil|~singletonP(X1)|~ssList(X1)),inference(csr,[status(thm)],[662,121])).
% cnf(3570,negated_conjecture,(tl(esk50_0)=nil|esk51_0=nil|~ssList(esk50_0)),inference(spm,[status(thm)],[3569,672,theory(equality)])).
% cnf(3572,negated_conjecture,(tl(esk50_0)=nil|esk51_0=nil|$false),inference(rw,[status(thm)],[3570,585,theory(equality)])).
% cnf(3573,negated_conjecture,(tl(esk50_0)=nil|esk51_0=nil),inference(cn,[status(thm)],[3572,theory(equality)])).
% cnf(3575,negated_conjecture,(cons(hd(esk50_0),nil)=esk50_0|nil=esk50_0|esk51_0=nil|~ssList(esk50_0)),inference(spm,[status(thm)],[439,3573,theory(equality)])).
% cnf(3577,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|esk54_0=nil|esk51_0=nil|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))|~ssList(tl(esk54_0))),inference(spm,[status(thm)],[3522,3573,theory(equality)])).
% cnf(3583,negated_conjecture,(cons(hd(esk50_0),nil)=esk50_0|nil=esk50_0|esk51_0=nil|$false),inference(rw,[status(thm)],[3575,585,theory(equality)])).
% cnf(3584,negated_conjecture,(cons(hd(esk50_0),nil)=esk50_0|nil=esk50_0|esk51_0=nil),inference(cn,[status(thm)],[3583,theory(equality)])).
% cnf(3677,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|esk51_0=nil|esk54_0=nil|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))|~ssList(esk54_0)),inference(spm,[status(thm)],[3577,344,theory(equality)])).
% cnf(3678,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|esk51_0=nil|esk54_0=nil|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))|$false),inference(rw,[status(thm)],[3677,575,theory(equality)])).
% cnf(3679,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|esk51_0=nil|esk54_0=nil|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))),inference(cn,[status(thm)],[3678,theory(equality)])).
% cnf(3680,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|esk54_0=nil|esk51_0=nil|~ssList(cons(esk52_0,esk55_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[3679,141,theory(equality)])).
% cnf(3681,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|esk54_0=nil|esk51_0=nil|~ssList(cons(esk52_0,esk55_0))|$false),inference(rw,[status(thm)],[3680,577,theory(equality)])).
% cnf(3682,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|esk54_0=nil|esk51_0=nil|~ssList(cons(esk52_0,esk55_0))),inference(cn,[status(thm)],[3681,theory(equality)])).
% cnf(3683,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|esk51_0=nil|esk54_0=nil|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[3682,141,theory(equality)])).
% cnf(3684,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|esk51_0=nil|esk54_0=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3683,574,theory(equality)])).
% cnf(3685,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|esk51_0=nil|esk54_0=nil|$false|$false),inference(rw,[status(thm)],[3684,577,theory(equality)])).
% cnf(3686,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|esk51_0=nil|esk54_0=nil),inference(cn,[status(thm)],[3685,theory(equality)])).
% cnf(3691,negated_conjecture,(esk54_0=nil|esk51_0=nil|~ssList(cons(esk52_0,esk55_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[163,3686,theory(equality)])).
% cnf(3734,negated_conjecture,(esk54_0=nil|esk51_0=nil|~ssList(cons(esk52_0,esk55_0))|$false),inference(rw,[status(thm)],[3691,577,theory(equality)])).
% cnf(3735,negated_conjecture,(esk54_0=nil|esk51_0=nil|~ssList(cons(esk52_0,esk55_0))),inference(cn,[status(thm)],[3734,theory(equality)])).
% cnf(3791,negated_conjecture,(esk51_0=nil|esk54_0=nil|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[3735,141,theory(equality)])).
% cnf(3792,negated_conjecture,(esk51_0=nil|esk54_0=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3791,574,theory(equality)])).
% cnf(3793,negated_conjecture,(esk51_0=nil|esk54_0=nil|$false|$false),inference(rw,[status(thm)],[3792,577,theory(equality)])).
% cnf(3794,negated_conjecture,(esk51_0=nil|esk54_0=nil),inference(cn,[status(thm)],[3793,theory(equality)])).
% cnf(3805,negated_conjecture,(app(nil,cons(esk52_0,cons(esk52_0,esk55_0)))=esk50_0|esk51_0=nil),inference(spm,[status(thm)],[1873,3794,theory(equality)])).
% cnf(3818,negated_conjecture,(app(app(nil,cons(esk52_0,nil)),cons(esk52_0,esk55_0))=esk50_0|esk51_0=nil),inference(spm,[status(thm)],[2738,3794,theory(equality)])).
% cnf(3838,negated_conjecture,(esk50_0=cons(esk52_0,cons(esk52_0,esk55_0))|esk51_0=nil|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))),inference(spm,[status(thm)],[174,3805,theory(equality)])).
% cnf(3942,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=esk50_0|esk51_0=nil|~ssList(cons(esk52_0,esk55_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[3838,141,theory(equality)])).
% cnf(3943,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=esk50_0|esk51_0=nil|~ssList(cons(esk52_0,esk55_0))|$false),inference(rw,[status(thm)],[3942,577,theory(equality)])).
% cnf(3944,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=esk50_0|esk51_0=nil|~ssList(cons(esk52_0,esk55_0))),inference(cn,[status(thm)],[3943,theory(equality)])).
% cnf(3945,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=esk50_0|esk51_0=nil|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[3944,141,theory(equality)])).
% cnf(3946,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=esk50_0|esk51_0=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3945,574,theory(equality)])).
% cnf(3947,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=esk50_0|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[3946,577,theory(equality)])).
% cnf(3948,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=esk50_0|esk51_0=nil),inference(cn,[status(thm)],[3947,theory(equality)])).
% cnf(3953,negated_conjecture,(esk51_0=nil|esk50_0!=nil|~ssList(cons(esk52_0,esk55_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[163,3948,theory(equality)])).
% cnf(3956,negated_conjecture,(hd(esk50_0)=esk52_0|esk51_0=nil|~ssList(cons(esk52_0,esk55_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[270,3948,theory(equality)])).
% cnf(3993,negated_conjecture,(esk51_0=nil|esk50_0!=nil|~ssList(cons(esk52_0,esk55_0))|$false),inference(rw,[status(thm)],[3953,577,theory(equality)])).
% cnf(3994,negated_conjecture,(esk51_0=nil|esk50_0!=nil|~ssList(cons(esk52_0,esk55_0))),inference(cn,[status(thm)],[3993,theory(equality)])).
% cnf(4000,negated_conjecture,(hd(esk50_0)=esk52_0|esk51_0=nil|~ssList(cons(esk52_0,esk55_0))|$false),inference(rw,[status(thm)],[3956,577,theory(equality)])).
% cnf(4001,negated_conjecture,(hd(esk50_0)=esk52_0|esk51_0=nil|~ssList(cons(esk52_0,esk55_0))),inference(cn,[status(thm)],[4000,theory(equality)])).
% cnf(4546,negated_conjecture,(app(cons(esk52_0,nil),cons(esk52_0,esk55_0))=esk50_0|esk51_0=nil|~ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[3818,174,theory(equality)])).
% cnf(4594,negated_conjecture,(app(cons(esk52_0,nil),cons(esk52_0,esk55_0))=esk50_0|esk51_0=nil|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[4546,141,theory(equality)])).
% cnf(4595,negated_conjecture,(app(cons(esk52_0,nil),cons(esk52_0,esk55_0))=esk50_0|esk51_0=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[4594,142,theory(equality)])).
% cnf(4596,negated_conjecture,(app(cons(esk52_0,nil),cons(esk52_0,esk55_0))=esk50_0|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[4595,577,theory(equality)])).
% cnf(4597,negated_conjecture,(app(cons(esk52_0,nil),cons(esk52_0,esk55_0))=esk50_0|esk51_0=nil),inference(cn,[status(thm)],[4596,theory(equality)])).
% cnf(6617,negated_conjecture,(hd(esk50_0)=esk52_0|esk51_0=nil|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[4001,141,theory(equality)])).
% cnf(6618,negated_conjecture,(hd(esk50_0)=esk52_0|esk51_0=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[6617,574,theory(equality)])).
% cnf(6619,negated_conjecture,(hd(esk50_0)=esk52_0|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[6618,577,theory(equality)])).
% cnf(6620,negated_conjecture,(hd(esk50_0)=esk52_0|esk51_0=nil),inference(cn,[status(thm)],[6619,theory(equality)])).
% cnf(6782,negated_conjecture,(cons(esk52_0,nil)=esk50_0|esk51_0=nil|esk50_0=nil),inference(spm,[status(thm)],[3584,6620,theory(equality)])).
% cnf(6873,negated_conjecture,(app(esk50_0,cons(esk52_0,esk55_0))=esk50_0|esk51_0=nil|esk50_0=nil),inference(spm,[status(thm)],[4597,6782,theory(equality)])).
% cnf(7060,negated_conjecture,(cons(esk52_0,esk55_0)=nil|esk50_0=nil|esk51_0=nil|~ssList(esk50_0)|~ssList(cons(esk52_0,esk55_0))),inference(spm,[status(thm)],[738,6873,theory(equality)])).
% cnf(7091,negated_conjecture,(cons(esk52_0,esk55_0)=nil|esk50_0=nil|esk51_0=nil|$false|~ssList(cons(esk52_0,esk55_0))),inference(rw,[status(thm)],[7060,585,theory(equality)])).
% cnf(7092,negated_conjecture,(cons(esk52_0,esk55_0)=nil|esk50_0=nil|esk51_0=nil|~ssList(cons(esk52_0,esk55_0))),inference(cn,[status(thm)],[7091,theory(equality)])).
% cnf(7123,negated_conjecture,(cons(esk52_0,esk55_0)=nil|esk51_0=nil|~ssList(cons(esk52_0,esk55_0))),inference(csr,[status(thm)],[7092,3994])).
% cnf(7124,negated_conjecture,(cons(esk52_0,esk55_0)=nil|esk51_0=nil|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[7123,141,theory(equality)])).
% cnf(7125,negated_conjecture,(cons(esk52_0,esk55_0)=nil|esk51_0=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[7124,574,theory(equality)])).
% cnf(7126,negated_conjecture,(cons(esk52_0,esk55_0)=nil|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[7125,577,theory(equality)])).
% cnf(7127,negated_conjecture,(cons(esk52_0,esk55_0)=nil|esk51_0=nil),inference(cn,[status(thm)],[7126,theory(equality)])).
% cnf(7132,negated_conjecture,(esk51_0=nil|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[163,7127,theory(equality)])).
% cnf(7194,negated_conjecture,(esk51_0=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[7132,574,theory(equality)])).
% cnf(7195,negated_conjecture,(esk51_0=nil|$false|$false),inference(rw,[status(thm)],[7194,577,theory(equality)])).
% cnf(7196,negated_conjecture,(esk51_0=nil),inference(cn,[status(thm)],[7195,theory(equality)])).
% cnf(7388,negated_conjecture,(esk50_0=nil|~segmentP(esk50_0,esk51_0)),inference(rw,[status(thm)],[702,7196,theory(equality)])).
% cnf(7389,negated_conjecture,(esk50_0=nil|~segmentP(esk50_0,nil)),inference(rw,[status(thm)],[7388,7196,theory(equality)])).
% cnf(7399,negated_conjecture,(esk50_0=nil|~ssList(esk50_0)),inference(spm,[status(thm)],[7389,193,theory(equality)])).
% cnf(7400,negated_conjecture,(esk50_0=nil|$false),inference(rw,[status(thm)],[7399,585,theory(equality)])).
% cnf(7401,negated_conjecture,(esk50_0=nil),inference(cn,[status(thm)],[7400,theory(equality)])).
% cnf(7473,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|$false|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))),inference(rw,[status(thm)],[1916,7401,theory(equality)])).
% cnf(7474,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))),inference(cn,[status(thm)],[7473,theory(equality)])).
% cnf(7480,negated_conjecture,(esk54_0=nil|$false|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))),inference(rw,[status(thm)],[1895,7401,theory(equality)])).
% cnf(7481,negated_conjecture,(esk54_0=nil|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))),inference(cn,[status(thm)],[7480,theory(equality)])).
% cnf(7488,negated_conjecture,(esk55_0=nil|$false|~ssList(app(esk54_0,cons(esk52_0,cons(esk52_0,nil))))),inference(rw,[status(thm)],[1724,7401,theory(equality)])).
% cnf(7489,negated_conjecture,(esk55_0=nil|~ssList(app(esk54_0,cons(esk52_0,cons(esk52_0,nil))))),inference(cn,[status(thm)],[7488,theory(equality)])).
% cnf(7523,negated_conjecture,(esk54_0=nil|~ssList(cons(esk52_0,esk55_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[7481,141,theory(equality)])).
% cnf(7524,negated_conjecture,(esk54_0=nil|~ssList(cons(esk52_0,esk55_0))|$false),inference(rw,[status(thm)],[7523,577,theory(equality)])).
% cnf(7525,negated_conjecture,(esk54_0=nil|~ssList(cons(esk52_0,esk55_0))),inference(cn,[status(thm)],[7524,theory(equality)])).
% cnf(7526,negated_conjecture,(esk54_0=nil|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[7525,141,theory(equality)])).
% cnf(7527,negated_conjecture,(esk54_0=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[7526,574,theory(equality)])).
% cnf(7528,negated_conjecture,(esk54_0=nil|$false|$false),inference(rw,[status(thm)],[7527,577,theory(equality)])).
% cnf(7529,negated_conjecture,(esk54_0=nil),inference(cn,[status(thm)],[7528,theory(equality)])).
% cnf(7541,negated_conjecture,(esk55_0=nil|~ssList(app(nil,cons(esk52_0,cons(esk52_0,nil))))),inference(rw,[status(thm)],[7489,7529,theory(equality)])).
% cnf(7542,negated_conjecture,(esk55_0=nil|~ssList(cons(esk52_0,cons(esk52_0,nil)))),inference(spm,[status(thm)],[7541,174,theory(equality)])).
% cnf(7546,negated_conjecture,(esk55_0=nil|~ssList(cons(esk52_0,nil))|~ssItem(esk52_0)),inference(spm,[status(thm)],[7542,141,theory(equality)])).
% cnf(7547,negated_conjecture,(esk55_0=nil|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[7546,577,theory(equality)])).
% cnf(7548,negated_conjecture,(esk55_0=nil|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[7547,theory(equality)])).
% cnf(7549,negated_conjecture,(esk55_0=nil|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[7548,141,theory(equality)])).
% cnf(7550,negated_conjecture,(esk55_0=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[7549,142,theory(equality)])).
% cnf(7551,negated_conjecture,(esk55_0=nil|$false|$false),inference(rw,[status(thm)],[7550,577,theory(equality)])).
% cnf(7552,negated_conjecture,(esk55_0=nil),inference(cn,[status(thm)],[7551,theory(equality)])).
% cnf(7641,negated_conjecture,(cons(esk52_0,cons(esk52_0,nil))=nil|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))),inference(rw,[status(thm)],[7474,7552,theory(equality)])).
% cnf(7642,negated_conjecture,(cons(esk52_0,cons(esk52_0,nil))=nil|~ssList(cons(esk52_0,cons(esk52_0,nil)))),inference(rw,[status(thm)],[7641,7552,theory(equality)])).
% cnf(7643,negated_conjecture,(cons(esk52_0,cons(esk52_0,nil))=nil|~ssList(cons(esk52_0,nil))|~ssItem(esk52_0)),inference(spm,[status(thm)],[7642,141,theory(equality)])).
% cnf(7644,negated_conjecture,(cons(esk52_0,cons(esk52_0,nil))=nil|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[7643,577,theory(equality)])).
% cnf(7645,negated_conjecture,(cons(esk52_0,cons(esk52_0,nil))=nil|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[7644,theory(equality)])).
% cnf(7646,negated_conjecture,(cons(esk52_0,cons(esk52_0,nil))=nil|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[7645,141,theory(equality)])).
% cnf(7647,negated_conjecture,(cons(esk52_0,cons(esk52_0,nil))=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[7646,142,theory(equality)])).
% cnf(7648,negated_conjecture,(cons(esk52_0,cons(esk52_0,nil))=nil|$false|$false),inference(rw,[status(thm)],[7647,577,theory(equality)])).
% cnf(7649,negated_conjecture,(cons(esk52_0,cons(esk52_0,nil))=nil),inference(cn,[status(thm)],[7648,theory(equality)])).
% cnf(7654,negated_conjecture,(~ssList(cons(esk52_0,nil))|~ssItem(esk52_0)),inference(spm,[status(thm)],[163,7649,theory(equality)])).
% cnf(7700,negated_conjecture,(~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[7654,577,theory(equality)])).
% cnf(7701,negated_conjecture,(~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[7700,theory(equality)])).
% cnf(7759,negated_conjecture,(~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[7701,141,theory(equality)])).
% cnf(7760,negated_conjecture,($false|~ssItem(esk52_0)),inference(rw,[status(thm)],[7759,142,theory(equality)])).
% cnf(7761,negated_conjecture,($false|$false),inference(rw,[status(thm)],[7760,577,theory(equality)])).
% cnf(7762,negated_conjecture,($false),inference(cn,[status(thm)],[7761,theory(equality)])).
% cnf(7763,negated_conjecture,($false),7762,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 714
% # ...of these trivial : 18
% # ...subsumed : 185
% # ...remaining for further processing: 511
% # Other redundant clauses eliminated : 69
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 55
% # Backward-rewritten : 209
% # Generated clauses : 2740
% # ...of the previous two non-trivial : 2573
% # Contextual simplify-reflections : 152
% # Paramodulations : 2645
% # Factorizations : 0
% # Equation resolutions : 95
% # Current number of processed clauses: 241
% # Positive orientable unit clauses: 27
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 5
% # Non-unit-clauses : 209
% # Current number of unprocessed clauses: 666
% # ...number of literals in the above : 4436
% # Clause-clause subsumption calls (NU) : 9168
% # Rec. Clause-clause subsumption calls : 5630
% # Unit Clause-clause subsumption calls : 174
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 45
% # Indexed BW rewrite successes : 23
% # Backwards rewriting index: 257 leaves, 1.36+/-1.132 terms/leaf
% # Paramod-from index: 130 leaves, 1.00+/-0.000 terms/leaf
% # Paramod-into index: 230 leaves, 1.22+/-0.963 terms/leaf
% # -------------------------------------------------
% # User time : 0.208 s
% # System time : 0.005 s
% # Total time : 0.213 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.42 CPU 0.54 WC
% FINAL PrfWatch: 0.42 CPU 0.54 WC
% SZS output end Solution for /tmp/SystemOnTPTP31323/SWC178+1.tptp
%
%------------------------------------------------------------------------------