TSTP Solution File: SWC187+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC187+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 : art09.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 07:18:27 EST 2010
% Result : Theorem 1.41s
% Output : Solution 1.41s
% 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/SystemOnTPTP28337/SWC187+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP28337/SWC187+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP28337/SWC187+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 28433
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.030 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% 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(8, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>~(nil=cons(X2,X1)))),file('/tmp/SRASS.s.p', ax21)).
% 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(11, axiom,![X1]:(ssList(X1)=>app(nil,X1)=X1),file('/tmp/SRASS.s.p', ax28)).
% fof(14, axiom,![X1]:(ssItem(X1)=>~(memberP(nil,X1))),file('/tmp/SRASS.s.p', ax38)).
% fof(16, 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(17, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>cons(X2,X1)=app(cons(X2,nil),X1))),file('/tmp/SRASS.s.p', ax81)).
% fof(18, 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(19, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(nil=app(X1,X2)<=>(nil=X2&nil=X1)))),file('/tmp/SRASS.s.p', ax83)).
% fof(20, axiom,![X1]:(ssList(X1)=>app(X1,nil)=X1),file('/tmp/SRASS.s.p', ax84)).
% fof(25, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(~(nil=X1)=>tl(app(X1,X2))=app(tl(X1),X2)))),file('/tmp/SRASS.s.p', ax86)).
% fof(26, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>hd(cons(X2,X1))=X2)),file('/tmp/SRASS.s.p', ax23)).
% fof(27, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>tl(cons(X2,X1))=X1)),file('/tmp/SRASS.s.p', ax25)).
% fof(41, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>ssList(tl(X1)))),file('/tmp/SRASS.s.p', ax24)).
% fof(96, conjecture,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(ssList(X4)=>(((~(X2=X4)|~(X1=X3))|![X5]:(ssItem(X5)=>![X6]:(ssList(X6)=>![X7]:(ssList(X7)=>(~(app(app(X6,cons(X5,nil)),X7)=X1)|(~(memberP(X6,X5))&~(memberP(X7,X5))))))))|(![X8]:(ssItem(X8)=>(~(cons(X8,nil)=X3)|~(memberP(X4,X8))))&(~(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]:(ssList(X6)=>![X7]:(ssList(X7)=>(~(app(app(X6,cons(X5,nil)),X7)=X1)|(~(memberP(X6,X5))&~(memberP(X7,X5))))))))|(![X8]:(ssItem(X8)=>(~(cons(X8,nil)=X3)|~(memberP(X4,X8))))&(~(nil=X4)|~(nil=X3))))))))),inference(assume_negation,[status(cth)],[96])).
% fof(98, plain,![X1]:(ssItem(X1)=>~(memberP(nil,X1))),inference(fof_simplification,[status(thm)],[14,theory(equality)])).
% fof(103, negated_conjecture,~(![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(ssList(X4)=>(((~(X2=X4)|~(X1=X3))|![X5]:(ssItem(X5)=>![X6]:(ssList(X6)=>![X7]:(ssList(X7)=>(~(app(app(X6,cons(X5,nil)),X7)=X1)|(~(memberP(X6,X5))&~(memberP(X7,X5))))))))|(![X8]:(ssItem(X8)=>(~(cons(X8,nil)=X3)|~(memberP(X4,X8))))&(~(nil=X4)|~(nil=X3))))))))),inference(fof_simplification,[status(thm)],[97,theory(equality)])).
% 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(140, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|~(nil=cons(X2,X1)))),inference(fof_nnf,[status(thm)],[8])).
% fof(141, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|~(nil=cons(X4,X3)))),inference(variable_rename,[status(thm)],[140])).
% fof(142, plain,![X3]:![X4]:((~(ssItem(X4))|~(nil=cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[141])).
% cnf(143,plain,(~ssList(X1)|nil!=cons(X2,X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[142])).
% 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(152, plain,![X1]:(~(ssList(X1))|app(nil,X1)=X1),inference(fof_nnf,[status(thm)],[11])).
% fof(153, plain,![X2]:(~(ssList(X2))|app(nil,X2)=X2),inference(variable_rename,[status(thm)],[152])).
% cnf(154,plain,(app(nil,X1)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[153])).
% fof(169, plain,![X1]:(~(ssItem(X1))|~(memberP(nil,X1))),inference(fof_nnf,[status(thm)],[98])).
% fof(170, plain,![X2]:(~(ssItem(X2))|~(memberP(nil,X2))),inference(variable_rename,[status(thm)],[169])).
% cnf(171,plain,(~memberP(nil,X1)|~ssItem(X1)),inference(split_conjunct,[status(thm)],[170])).
% fof(176, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X2,X3)=app(X2,X1))|X3=X1)))),inference(fof_nnf,[status(thm)],[16])).
% fof(177, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4)))),inference(variable_rename,[status(thm)],[176])).
% fof(178, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X5,X6)=app(X5,X4))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[177])).
% cnf(179,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X2,X3)!=app(X2,X1)|~ssList(X3)),inference(split_conjunct,[status(thm)],[178])).
% fof(180, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|cons(X2,X1)=app(cons(X2,nil),X1))),inference(fof_nnf,[status(thm)],[17])).
% fof(181, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))),inference(variable_rename,[status(thm)],[180])).
% fof(182, plain,![X3]:![X4]:((~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[181])).
% cnf(183,plain,(cons(X2,X1)=app(cons(X2,nil),X1)|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[182])).
% fof(184, 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)],[18])).
% fof(185, 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)],[184])).
% fof(186, 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)],[185])).
% cnf(187,plain,(app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X1)|~ssList(X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[186])).
% fof(188, 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)],[19])).
% fof(189, 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)],[188])).
% fof(190, 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)],[189])).
% fof(191, 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)],[190])).
% cnf(193,plain,(nil=X1|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[191])).
% cnf(194,plain,(nil=X2|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[191])).
% fof(195, plain,![X1]:(~(ssList(X1))|app(X1,nil)=X1),inference(fof_nnf,[status(thm)],[20])).
% fof(196, plain,![X2]:(~(ssList(X2))|app(X2,nil)=X2),inference(variable_rename,[status(thm)],[195])).
% cnf(197,plain,(app(X1,nil)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[196])).
% fof(235, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|(nil=X1|tl(app(X1,X2))=app(tl(X1),X2)))),inference(fof_nnf,[status(thm)],[25])).
% fof(236, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|(nil=X3|tl(app(X3,X4))=app(tl(X3),X4)))),inference(variable_rename,[status(thm)],[235])).
% fof(237, plain,![X3]:![X4]:((~(ssList(X4))|(nil=X3|tl(app(X3,X4))=app(tl(X3),X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[236])).
% cnf(238,plain,(tl(app(X1,X2))=app(tl(X1),X2)|nil=X1|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[237])).
% fof(239, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|hd(cons(X2,X1))=X2)),inference(fof_nnf,[status(thm)],[26])).
% fof(240, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|hd(cons(X4,X3))=X4)),inference(variable_rename,[status(thm)],[239])).
% fof(241, plain,![X3]:![X4]:((~(ssItem(X4))|hd(cons(X4,X3))=X4)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[240])).
% cnf(242,plain,(hd(cons(X2,X1))=X2|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[241])).
% fof(243, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|tl(cons(X2,X1))=X1)),inference(fof_nnf,[status(thm)],[27])).
% fof(244, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|tl(cons(X4,X3))=X3)),inference(variable_rename,[status(thm)],[243])).
% fof(245, plain,![X3]:![X4]:((~(ssItem(X4))|tl(cons(X4,X3))=X3)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[244])).
% cnf(246,plain,(tl(cons(X2,X1))=X1|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[245])).
% fof(309, plain,![X1]:(~(ssList(X1))|(nil=X1|ssList(tl(X1)))),inference(fof_nnf,[status(thm)],[41])).
% fof(310, plain,![X2]:(~(ssList(X2))|(nil=X2|ssList(tl(X2)))),inference(variable_rename,[status(thm)],[309])).
% cnf(311,plain,(ssList(tl(X1))|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[310])).
% fof(568, negated_conjecture,?[X1]:(ssList(X1)&?[X2]:(ssList(X2)&?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&(((X2=X4&X1=X3)&?[X5]:(ssItem(X5)&?[X6]:(ssList(X6)&?[X7]:(ssList(X7)&(app(app(X6,cons(X5,nil)),X7)=X1&(memberP(X6,X5)|memberP(X7,X5)))))))&(?[X8]:(ssItem(X8)&(cons(X8,nil)=X3&memberP(X4,X8)))|(nil=X4&nil=X3))))))),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)&?[X13]:(ssItem(X13)&?[X14]:(ssList(X14)&?[X15]:(ssList(X15)&(app(app(X14,cons(X13,nil)),X15)=X9&(memberP(X14,X13)|memberP(X15,X13)))))))&(?[X16]:(ssItem(X16)&(cons(X16,nil)=X11&memberP(X12,X16)))|(nil=X12&nil=X11))))))),inference(variable_rename,[status(thm)],[568])).
% fof(570, negated_conjecture,(ssList(esk48_0)&(ssList(esk49_0)&(ssList(esk50_0)&(ssList(esk51_0)&(((esk49_0=esk51_0&esk48_0=esk50_0)&(ssItem(esk52_0)&(ssList(esk53_0)&(ssList(esk54_0)&(app(app(esk53_0,cons(esk52_0,nil)),esk54_0)=esk48_0&(memberP(esk53_0,esk52_0)|memberP(esk54_0,esk52_0)))))))&((ssItem(esk55_0)&(cons(esk55_0,nil)=esk50_0&memberP(esk51_0,esk55_0)))|(nil=esk51_0&nil=esk50_0))))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,(ssList(esk48_0)&(ssList(esk49_0)&(ssList(esk50_0)&(ssList(esk51_0)&(((esk49_0=esk51_0&esk48_0=esk50_0)&(ssItem(esk52_0)&(ssList(esk53_0)&(ssList(esk54_0)&(app(app(esk53_0,cons(esk52_0,nil)),esk54_0)=esk48_0&(memberP(esk53_0,esk52_0)|memberP(esk54_0,esk52_0)))))))&(((nil=esk51_0|ssItem(esk55_0))&(nil=esk50_0|ssItem(esk55_0)))&(((nil=esk51_0|cons(esk55_0,nil)=esk50_0)&(nil=esk50_0|cons(esk55_0,nil)=esk50_0))&((nil=esk51_0|memberP(esk51_0,esk55_0))&(nil=esk50_0|memberP(esk51_0,esk55_0)))))))))),inference(distribute,[status(thm)],[570])).
% cnf(574,negated_conjecture,(cons(esk55_0,nil)=esk50_0|nil=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(576,negated_conjecture,(ssItem(esk55_0)|nil=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(578,negated_conjecture,(memberP(esk54_0,esk52_0)|memberP(esk53_0,esk52_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(579,negated_conjecture,(app(app(esk53_0,cons(esk52_0,nil)),esk54_0)=esk48_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(580,negated_conjecture,(ssList(esk54_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(581,negated_conjecture,(ssList(esk53_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(582,negated_conjecture,(ssItem(esk52_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(583,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(593,negated_conjecture,(app(app(esk53_0,cons(esk52_0,nil)),esk54_0)=esk50_0),inference(rw,[status(thm)],[579,583,theory(equality)])).
% cnf(696,negated_conjecture,(hd(esk50_0)=esk55_0|esk50_0=nil|~ssList(nil)|~ssItem(esk55_0)),inference(spm,[status(thm)],[242,574,theory(equality)])).
% cnf(699,negated_conjecture,(hd(esk50_0)=esk55_0|esk50_0=nil|$false|~ssItem(esk55_0)),inference(rw,[status(thm)],[696,122,theory(equality)])).
% cnf(700,negated_conjecture,(hd(esk50_0)=esk55_0|esk50_0=nil|~ssItem(esk55_0)),inference(cn,[status(thm)],[699,theory(equality)])).
% cnf(706,negated_conjecture,(tl(esk50_0)=nil|esk50_0=nil|~ssList(nil)|~ssItem(esk55_0)),inference(spm,[status(thm)],[246,574,theory(equality)])).
% cnf(709,negated_conjecture,(tl(esk50_0)=nil|esk50_0=nil|$false|~ssItem(esk55_0)),inference(rw,[status(thm)],[706,122,theory(equality)])).
% cnf(710,negated_conjecture,(tl(esk50_0)=nil|esk50_0=nil|~ssItem(esk55_0)),inference(cn,[status(thm)],[709,theory(equality)])).
% cnf(1039,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0|~ssList(esk54_0)|~ssList(cons(esk52_0,nil))|~ssList(esk53_0)),inference(spm,[status(thm)],[593,187,theory(equality)])).
% cnf(1047,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0|$false|~ssList(cons(esk52_0,nil))|~ssList(esk53_0)),inference(rw,[status(thm)],[1039,580,theory(equality)])).
% cnf(1048,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0|$false|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[1047,581,theory(equality)])).
% cnf(1049,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[1048,theory(equality)])).
% cnf(1636,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1049,121,theory(equality)])).
% cnf(1637,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1636,122,theory(equality)])).
% cnf(1638,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[1637,582,theory(equality)])).
% cnf(1639,negated_conjecture,(app(esk53_0,app(cons(esk52_0,nil),esk54_0))=esk50_0),inference(cn,[status(thm)],[1638,theory(equality)])).
% cnf(1655,negated_conjecture,(app(esk53_0,cons(esk52_0,esk54_0))=esk50_0|~ssList(esk54_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1639,183,theory(equality)])).
% cnf(1690,negated_conjecture,(app(esk53_0,cons(esk52_0,esk54_0))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1655,580,theory(equality)])).
% cnf(1691,negated_conjecture,(app(esk53_0,cons(esk52_0,esk54_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[1690,582,theory(equality)])).
% cnf(1692,negated_conjecture,(app(esk53_0,cons(esk52_0,esk54_0))=esk50_0),inference(cn,[status(thm)],[1691,theory(equality)])).
% cnf(1694,negated_conjecture,(nil=esk53_0|esk50_0!=nil|~ssList(cons(esk52_0,esk54_0))|~ssList(esk53_0)),inference(spm,[status(thm)],[193,1692,theory(equality)])).
% cnf(1697,negated_conjecture,(tl(esk50_0)=app(tl(esk53_0),cons(esk52_0,esk54_0))|nil=esk53_0|~ssList(cons(esk52_0,esk54_0))|~ssList(esk53_0)),inference(spm,[status(thm)],[238,1692,theory(equality)])).
% cnf(1702,negated_conjecture,(X1=cons(esk52_0,esk54_0)|app(esk53_0,X1)!=esk50_0|~ssList(cons(esk52_0,esk54_0))|~ssList(esk53_0)|~ssList(X1)),inference(spm,[status(thm)],[179,1692,theory(equality)])).
% cnf(1714,negated_conjecture,(nil=esk53_0|esk50_0!=nil|~ssList(cons(esk52_0,esk54_0))|$false),inference(rw,[status(thm)],[1694,581,theory(equality)])).
% cnf(1715,negated_conjecture,(nil=esk53_0|esk50_0!=nil|~ssList(cons(esk52_0,esk54_0))),inference(cn,[status(thm)],[1714,theory(equality)])).
% cnf(1721,negated_conjecture,(tl(esk50_0)=app(tl(esk53_0),cons(esk52_0,esk54_0))|nil=esk53_0|~ssList(cons(esk52_0,esk54_0))|$false),inference(rw,[status(thm)],[1697,581,theory(equality)])).
% cnf(1722,negated_conjecture,(tl(esk50_0)=app(tl(esk53_0),cons(esk52_0,esk54_0))|nil=esk53_0|~ssList(cons(esk52_0,esk54_0))),inference(cn,[status(thm)],[1721,theory(equality)])).
% cnf(1731,negated_conjecture,(X1=cons(esk52_0,esk54_0)|app(esk53_0,X1)!=esk50_0|~ssList(cons(esk52_0,esk54_0))|$false|~ssList(X1)),inference(rw,[status(thm)],[1702,581,theory(equality)])).
% cnf(1732,negated_conjecture,(X1=cons(esk52_0,esk54_0)|app(esk53_0,X1)!=esk50_0|~ssList(cons(esk52_0,esk54_0))|~ssList(X1)),inference(cn,[status(thm)],[1731,theory(equality)])).
% cnf(1989,negated_conjecture,(hd(esk50_0)=esk55_0|esk50_0=nil),inference(csr,[status(thm)],[700,576])).
% cnf(2028,negated_conjecture,(tl(esk50_0)=nil|esk50_0=nil),inference(csr,[status(thm)],[710,576])).
% cnf(3039,negated_conjecture,(X1=cons(esk52_0,esk54_0)|app(esk53_0,X1)!=esk50_0|~ssList(X1)|~ssList(esk54_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1732,121,theory(equality)])).
% cnf(3040,negated_conjecture,(X1=cons(esk52_0,esk54_0)|app(esk53_0,X1)!=esk50_0|~ssList(X1)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3039,580,theory(equality)])).
% cnf(3041,negated_conjecture,(X1=cons(esk52_0,esk54_0)|app(esk53_0,X1)!=esk50_0|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[3040,582,theory(equality)])).
% cnf(3042,negated_conjecture,(X1=cons(esk52_0,esk54_0)|app(esk53_0,X1)!=esk50_0|~ssList(X1)),inference(cn,[status(thm)],[3041,theory(equality)])).
% cnf(3043,negated_conjecture,(nil=cons(esk52_0,esk54_0)|esk53_0!=esk50_0|~ssList(nil)|~ssList(esk53_0)),inference(spm,[status(thm)],[3042,197,theory(equality)])).
% cnf(3044,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)|~ssList(app(cons(esk52_0,nil),esk54_0))),inference(spm,[status(thm)],[3042,1639,theory(equality)])).
% cnf(3046,negated_conjecture,(nil=cons(esk52_0,esk54_0)|esk53_0!=esk50_0|$false|~ssList(esk53_0)),inference(rw,[status(thm)],[3043,122,theory(equality)])).
% cnf(3047,negated_conjecture,(nil=cons(esk52_0,esk54_0)|esk53_0!=esk50_0|$false|$false),inference(rw,[status(thm)],[3046,581,theory(equality)])).
% cnf(3048,negated_conjecture,(nil=cons(esk52_0,esk54_0)|esk53_0!=esk50_0),inference(cn,[status(thm)],[3047,theory(equality)])).
% cnf(3051,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)|~ssList(esk54_0)|~ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[3044,147,theory(equality)])).
% cnf(3056,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)|$false|~ssList(cons(esk52_0,nil))),inference(rw,[status(thm)],[3051,580,theory(equality)])).
% cnf(3057,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[3056,theory(equality)])).
% cnf(3058,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[3057,121,theory(equality)])).
% cnf(3059,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3058,122,theory(equality)])).
% cnf(3060,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)|$false|$false),inference(rw,[status(thm)],[3059,582,theory(equality)])).
% cnf(3061,negated_conjecture,(app(cons(esk52_0,nil),esk54_0)=cons(esk52_0,esk54_0)),inference(cn,[status(thm)],[3060,theory(equality)])).
% cnf(3063,negated_conjecture,(ssList(cons(esk52_0,esk54_0))|~ssList(esk54_0)|~ssList(cons(esk52_0,nil))),inference(spm,[status(thm)],[147,3061,theory(equality)])).
% cnf(3070,negated_conjecture,(X1=esk54_0|app(cons(esk52_0,nil),X1)!=cons(esk52_0,esk54_0)|~ssList(esk54_0)|~ssList(cons(esk52_0,nil))|~ssList(X1)),inference(spm,[status(thm)],[179,3061,theory(equality)])).
% cnf(3077,negated_conjecture,(cons(esk52_0,esk54_0)=cons(esk52_0,app(nil,esk54_0))|~ssList(nil)|~ssList(esk54_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[151,3061,theory(equality)])).
% cnf(3087,negated_conjecture,(ssList(cons(esk52_0,esk54_0))|$false|~ssList(cons(esk52_0,nil))),inference(rw,[status(thm)],[3063,580,theory(equality)])).
% cnf(3088,negated_conjecture,(ssList(cons(esk52_0,esk54_0))|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[3087,theory(equality)])).
% cnf(3101,negated_conjecture,(X1=esk54_0|app(cons(esk52_0,nil),X1)!=cons(esk52_0,esk54_0)|$false|~ssList(cons(esk52_0,nil))|~ssList(X1)),inference(rw,[status(thm)],[3070,580,theory(equality)])).
% cnf(3102,negated_conjecture,(X1=esk54_0|app(cons(esk52_0,nil),X1)!=cons(esk52_0,esk54_0)|~ssList(cons(esk52_0,nil))|~ssList(X1)),inference(cn,[status(thm)],[3101,theory(equality)])).
% cnf(3113,negated_conjecture,(cons(esk52_0,esk54_0)=cons(esk52_0,app(nil,esk54_0))|$false|~ssList(esk54_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[3077,122,theory(equality)])).
% cnf(3114,negated_conjecture,(cons(esk52_0,esk54_0)=cons(esk52_0,app(nil,esk54_0))|$false|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3113,580,theory(equality)])).
% cnf(3115,negated_conjecture,(cons(esk52_0,esk54_0)=cons(esk52_0,app(nil,esk54_0))|$false|$false|$false),inference(rw,[status(thm)],[3114,582,theory(equality)])).
% cnf(3116,negated_conjecture,(cons(esk52_0,esk54_0)=cons(esk52_0,app(nil,esk54_0))),inference(cn,[status(thm)],[3115,theory(equality)])).
% cnf(3117,negated_conjecture,(ssList(cons(esk52_0,esk54_0))|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[3088,121,theory(equality)])).
% cnf(3118,negated_conjecture,(ssList(cons(esk52_0,esk54_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3117,122,theory(equality)])).
% cnf(3119,negated_conjecture,(ssList(cons(esk52_0,esk54_0))|$false|$false),inference(rw,[status(thm)],[3118,582,theory(equality)])).
% cnf(3120,negated_conjecture,(ssList(cons(esk52_0,esk54_0))),inference(cn,[status(thm)],[3119,theory(equality)])).
% cnf(3126,negated_conjecture,(esk53_0=nil|esk50_0!=nil|$false),inference(rw,[status(thm)],[1715,3120,theory(equality)])).
% cnf(3127,negated_conjecture,(esk53_0=nil|esk50_0!=nil),inference(cn,[status(thm)],[3126,theory(equality)])).
% cnf(3139,negated_conjecture,(cons(esk52_0,esk54_0)!=nil|~ssList(app(nil,esk54_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[143,3116,theory(equality)])).
% cnf(3142,negated_conjecture,(hd(cons(esk52_0,esk54_0))=esk52_0|~ssList(app(nil,esk54_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[242,3116,theory(equality)])).
% cnf(3143,negated_conjecture,(tl(cons(esk52_0,esk54_0))=app(nil,esk54_0)|~ssList(app(nil,esk54_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[246,3116,theory(equality)])).
% cnf(3178,negated_conjecture,(cons(esk52_0,esk54_0)!=nil|~ssList(app(nil,esk54_0))|$false),inference(rw,[status(thm)],[3139,582,theory(equality)])).
% cnf(3179,negated_conjecture,(cons(esk52_0,esk54_0)!=nil|~ssList(app(nil,esk54_0))),inference(cn,[status(thm)],[3178,theory(equality)])).
% cnf(3185,negated_conjecture,(hd(cons(esk52_0,esk54_0))=esk52_0|~ssList(app(nil,esk54_0))|$false),inference(rw,[status(thm)],[3142,582,theory(equality)])).
% cnf(3186,negated_conjecture,(hd(cons(esk52_0,esk54_0))=esk52_0|~ssList(app(nil,esk54_0))),inference(cn,[status(thm)],[3185,theory(equality)])).
% cnf(3187,negated_conjecture,(tl(cons(esk52_0,esk54_0))=app(nil,esk54_0)|~ssList(app(nil,esk54_0))|$false),inference(rw,[status(thm)],[3143,582,theory(equality)])).
% cnf(3188,negated_conjecture,(tl(cons(esk52_0,esk54_0))=app(nil,esk54_0)|~ssList(app(nil,esk54_0))),inference(cn,[status(thm)],[3187,theory(equality)])).
% cnf(3271,negated_conjecture,(hd(cons(esk52_0,esk54_0))=esk52_0|~ssList(esk54_0)),inference(spm,[status(thm)],[3186,154,theory(equality)])).
% cnf(3273,negated_conjecture,(hd(cons(esk52_0,esk54_0))=esk52_0|$false),inference(rw,[status(thm)],[3271,580,theory(equality)])).
% cnf(3274,negated_conjecture,(hd(cons(esk52_0,esk54_0))=esk52_0),inference(cn,[status(thm)],[3273,theory(equality)])).
% cnf(3298,negated_conjecture,(tl(cons(esk52_0,esk54_0))=esk54_0|~ssList(esk54_0)),inference(spm,[status(thm)],[3188,154,theory(equality)])).
% cnf(3300,negated_conjecture,(tl(cons(esk52_0,esk54_0))=esk54_0|$false),inference(rw,[status(thm)],[3298,580,theory(equality)])).
% cnf(3301,negated_conjecture,(tl(cons(esk52_0,esk54_0))=esk54_0),inference(cn,[status(thm)],[3300,theory(equality)])).
% cnf(3307,negated_conjecture,(esk54_0=app(nil,esk54_0)|~ssList(app(nil,esk54_0))),inference(rw,[status(thm)],[3188,3301,theory(equality)])).
% cnf(3321,negated_conjecture,(app(nil,esk54_0)=esk54_0|~ssList(esk54_0)|~ssList(nil)),inference(spm,[status(thm)],[3307,147,theory(equality)])).
% cnf(3322,negated_conjecture,(app(nil,esk54_0)=esk54_0|$false|~ssList(nil)),inference(rw,[status(thm)],[3321,580,theory(equality)])).
% cnf(3323,negated_conjecture,(app(nil,esk54_0)=esk54_0|$false|$false),inference(rw,[status(thm)],[3322,122,theory(equality)])).
% cnf(3324,negated_conjecture,(app(nil,esk54_0)=esk54_0),inference(cn,[status(thm)],[3323,theory(equality)])).
% cnf(3345,negated_conjecture,(cons(esk52_0,esk54_0)!=nil|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[3179,3324,theory(equality)]),580,theory(equality)])).
% cnf(3346,negated_conjecture,(cons(esk52_0,esk54_0)!=nil),inference(cn,[status(thm)],[3345,theory(equality)])).
% cnf(3723,negated_conjecture,(X1=esk54_0|app(cons(esk52_0,nil),X1)!=cons(esk52_0,esk54_0)|~ssList(X1)|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[3102,121,theory(equality)])).
% cnf(3724,negated_conjecture,(X1=esk54_0|app(cons(esk52_0,nil),X1)!=cons(esk52_0,esk54_0)|~ssList(X1)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3723,122,theory(equality)])).
% cnf(3725,negated_conjecture,(X1=esk54_0|app(cons(esk52_0,nil),X1)!=cons(esk52_0,esk54_0)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[3724,582,theory(equality)])).
% cnf(3726,negated_conjecture,(X1=esk54_0|app(cons(esk52_0,nil),X1)!=cons(esk52_0,esk54_0)|~ssList(X1)),inference(cn,[status(thm)],[3725,theory(equality)])).
% cnf(3728,negated_conjecture,(X1=esk54_0|cons(esk52_0,app(nil,X1))!=cons(esk52_0,esk54_0)|~ssList(X1)|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[3726,151,theory(equality)])).
% cnf(3732,negated_conjecture,(X1=esk54_0|cons(esk52_0,app(nil,X1))!=cons(esk52_0,esk54_0)|~ssList(X1)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3728,122,theory(equality)])).
% cnf(3733,negated_conjecture,(X1=esk54_0|cons(esk52_0,app(nil,X1))!=cons(esk52_0,esk54_0)|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[3732,582,theory(equality)])).
% cnf(3734,negated_conjecture,(X1=esk54_0|cons(esk52_0,app(nil,X1))!=cons(esk52_0,esk54_0)|~ssList(X1)),inference(cn,[status(thm)],[3733,theory(equality)])).
% cnf(3740,negated_conjecture,(nil=esk54_0|cons(esk52_0,nil)!=cons(esk52_0,esk54_0)|~ssList(nil)),inference(spm,[status(thm)],[3734,197,theory(equality)])).
% cnf(3743,negated_conjecture,(nil=esk54_0|cons(esk52_0,nil)!=cons(esk52_0,esk54_0)|$false),inference(rw,[status(thm)],[3740,122,theory(equality)])).
% cnf(3744,negated_conjecture,(nil=esk54_0|cons(esk52_0,nil)!=cons(esk52_0,esk54_0)),inference(cn,[status(thm)],[3743,theory(equality)])).
% cnf(3749,negated_conjecture,(app(tl(esk53_0),cons(esk52_0,esk54_0))=tl(esk50_0)|esk53_0=nil|$false),inference(rw,[status(thm)],[1722,3120,theory(equality)])).
% cnf(3750,negated_conjecture,(app(tl(esk53_0),cons(esk52_0,esk54_0))=tl(esk50_0)|esk53_0=nil),inference(cn,[status(thm)],[3749,theory(equality)])).
% cnf(3761,negated_conjecture,(nil=cons(esk52_0,esk54_0)|esk53_0=nil|tl(esk50_0)!=nil|~ssList(cons(esk52_0,esk54_0))|~ssList(tl(esk53_0))),inference(spm,[status(thm)],[194,3750,theory(equality)])).
% cnf(3793,negated_conjecture,(nil=cons(esk52_0,esk54_0)|esk53_0=nil|tl(esk50_0)!=nil|$false|~ssList(tl(esk53_0))),inference(rw,[status(thm)],[3761,3120,theory(equality)])).
% cnf(3794,negated_conjecture,(nil=cons(esk52_0,esk54_0)|esk53_0=nil|tl(esk50_0)!=nil|~ssList(tl(esk53_0))),inference(cn,[status(thm)],[3793,theory(equality)])).
% cnf(3795,negated_conjecture,(esk53_0=nil|tl(esk50_0)!=nil|~ssList(tl(esk53_0))),inference(sr,[status(thm)],[3794,3346,theory(equality)])).
% cnf(3820,negated_conjecture,(esk53_0=nil|esk50_0=nil|~ssList(tl(esk53_0))),inference(spm,[status(thm)],[3795,2028,theory(equality)])).
% cnf(3822,negated_conjecture,(esk53_0=nil|~ssList(tl(esk53_0))),inference(csr,[status(thm)],[3820,3127])).
% cnf(3823,negated_conjecture,(esk53_0=nil|~ssList(esk53_0)),inference(spm,[status(thm)],[3822,311,theory(equality)])).
% cnf(3824,negated_conjecture,(esk53_0=nil|$false),inference(rw,[status(thm)],[3823,581,theory(equality)])).
% cnf(3825,negated_conjecture,(esk53_0=nil),inference(cn,[status(thm)],[3824,theory(equality)])).
% cnf(3853,negated_conjecture,(cons(esk52_0,esk54_0)=nil|nil!=esk50_0),inference(rw,[status(thm)],[3048,3825,theory(equality)])).
% cnf(3854,negated_conjecture,(esk50_0!=nil),inference(sr,[status(thm)],[3853,3346,theory(equality)])).
% cnf(3857,negated_conjecture,(app(nil,cons(esk52_0,esk54_0))=esk50_0),inference(rw,[status(thm)],[1692,3825,theory(equality)])).
% cnf(3872,negated_conjecture,(memberP(esk54_0,esk52_0)|memberP(nil,esk52_0)),inference(rw,[status(thm)],[578,3825,theory(equality)])).
% cnf(3874,negated_conjecture,(ssItem(esk55_0)),inference(sr,[status(thm)],[576,3854,theory(equality)])).
% cnf(3875,negated_conjecture,(cons(esk55_0,nil)=esk50_0),inference(sr,[status(thm)],[574,3854,theory(equality)])).
% cnf(3884,negated_conjecture,(hd(esk50_0)=esk55_0),inference(sr,[status(thm)],[1989,3854,theory(equality)])).
% cnf(4075,negated_conjecture,(esk50_0=cons(esk52_0,esk54_0)|~ssList(cons(esk52_0,esk54_0))),inference(spm,[status(thm)],[154,3857,theory(equality)])).
% cnf(4138,negated_conjecture,(esk50_0=cons(esk52_0,esk54_0)|$false),inference(rw,[status(thm)],[4075,3120,theory(equality)])).
% cnf(4139,negated_conjecture,(esk50_0=cons(esk52_0,esk54_0)),inference(cn,[status(thm)],[4138,theory(equality)])).
% cnf(4182,negated_conjecture,(hd(esk50_0)=esk52_0),inference(rw,[status(thm)],[3274,4139,theory(equality)])).
% cnf(4190,negated_conjecture,(esk54_0=nil|esk50_0!=cons(esk52_0,nil)),inference(rw,[status(thm)],[3744,4139,theory(equality)])).
% cnf(4650,negated_conjecture,(esk55_0=esk52_0),inference(rw,[status(thm)],[4182,3884,theory(equality)])).
% cnf(4672,negated_conjecture,(esk54_0=nil|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4190,4650,theory(equality)]),3875,theory(equality)])).
% cnf(4673,negated_conjecture,(esk54_0=nil),inference(cn,[status(thm)],[4672,theory(equality)])).
% cnf(4677,negated_conjecture,(memberP(nil,esk55_0)|memberP(esk54_0,esk52_0)),inference(rw,[status(thm)],[3872,4650,theory(equality)])).
% cnf(4678,negated_conjecture,(memberP(nil,esk55_0)|memberP(esk54_0,esk55_0)),inference(rw,[status(thm)],[4677,4650,theory(equality)])).
% cnf(4776,negated_conjecture,(memberP(nil,esk55_0)|memberP(nil,esk55_0)),inference(rw,[status(thm)],[4678,4673,theory(equality)])).
% cnf(4777,negated_conjecture,(memberP(nil,esk55_0)),inference(cn,[status(thm)],[4776,theory(equality)])).
% cnf(4784,negated_conjecture,(~ssItem(esk55_0)),inference(spm,[status(thm)],[171,4777,theory(equality)])).
% cnf(4803,negated_conjecture,($false),inference(rw,[status(thm)],[4784,3874,theory(equality)])).
% cnf(4804,negated_conjecture,($false),inference(cn,[status(thm)],[4803,theory(equality)])).
% cnf(4805,negated_conjecture,($false),4804,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 555
% # ...of these trivial : 24
% # ...subsumed : 120
% # ...remaining for further processing: 411
% # Other redundant clauses eliminated : 69
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 30
% # Backward-rewritten : 114
% # Generated clauses : 1677
% # ...of the previous two non-trivial : 1557
% # Contextual simplify-reflections : 114
% # Paramodulations : 1563
% # Factorizations : 0
% # Equation resolutions : 97
% # Current number of processed clauses: 244
% # Positive orientable unit clauses: 44
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 4
% # Non-unit-clauses : 196
% # Current number of unprocessed clauses: 608
% # ...number of literals in the above : 3970
% # Clause-clause subsumption calls (NU) : 2513
% # Rec. Clause-clause subsumption calls : 1523
% # Unit Clause-clause subsumption calls : 356
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 32
% # Indexed BW rewrite successes : 32
% # Backwards rewriting index: 266 leaves, 1.30+/-1.070 terms/leaf
% # Paramod-from index: 132 leaves, 1.00+/-0.000 terms/leaf
% # Paramod-into index: 231 leaves, 1.20+/-0.910 terms/leaf
% # -------------------------------------------------
% # User time : 0.134 s
% # System time : 0.005 s
% # Total time : 0.139 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.31 CPU 0.40 WC
% FINAL PrfWatch: 0.31 CPU 0.40 WC
% SZS output end Solution for /tmp/SystemOnTPTP28337/SWC187+1.tptp
%
%------------------------------------------------------------------------------