TSTP Solution File: SWC174+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC174+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 07:16:42 EST 2010
% Result : Theorem 1.39s
% Output : Solution 1.39s
% 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/SystemOnTPTP31064/SWC174+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP31064/SWC174+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP31064/SWC174+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 31160
% 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(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]:(ssItem(X2)=>ssList(cons(X2,X1)))),file('/tmp/SRASS.s.p', ax16)).
% fof(6, axiom,ssList(nil),file('/tmp/SRASS.s.p', ax17)).
% fof(10, 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)=>![X3]:(ssItem(X3)=>cons(X3,app(X2,X1))=app(cons(X3,X2),X1)))),file('/tmp/SRASS.s.p', ax27)).
% fof(13, axiom,![X1]:(ssList(X1)=>app(nil,X1)=X1),file('/tmp/SRASS.s.p', ax28)).
% 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(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(27, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>tl(cons(X2,X1))=X1)),file('/tmp/SRASS.s.p', ax25)).
% fof(43, axiom,![X1]:(ssList(X1)=>(~(nil=X1)=>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))|~(singletonP(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))))))))),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))|~(singletonP(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)))))))))),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))|~(singletonP(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)))))))))),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(129, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|ssList(cons(X2,X1)))),inference(fof_nnf,[status(thm)],[5])).
% fof(130, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|ssList(cons(X4,X3)))),inference(variable_rename,[status(thm)],[129])).
% fof(131, plain,![X3]:![X4]:((~(ssItem(X4))|ssList(cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[130])).
% cnf(132,plain,(ssList(cons(X2,X1))|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[131])).
% cnf(133,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[6])).
% fof(151, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|~(nil=cons(X2,X1)))),inference(fof_nnf,[status(thm)],[10])).
% fof(152, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|~(nil=cons(X4,X3)))),inference(variable_rename,[status(thm)],[151])).
% fof(153, plain,![X3]:![X4]:((~(ssItem(X4))|~(nil=cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[152])).
% cnf(154,plain,(~ssList(X1)|nil!=cons(X2,X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[153])).
% fof(159, 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)],[12])).
% fof(160, 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)],[159])).
% fof(161, 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)],[160])).
% cnf(162,plain,(cons(X3,app(X2,X1))=app(cons(X3,X2),X1)|~ssList(X1)|~ssList(X2)|~ssItem(X3)),inference(split_conjunct,[status(thm)],[161])).
% fof(163, plain,![X1]:(~(ssList(X1))|app(nil,X1)=X1),inference(fof_nnf,[status(thm)],[13])).
% fof(164, plain,![X2]:(~(ssList(X2))|app(nil,X2)=X2),inference(variable_rename,[status(thm)],[163])).
% cnf(165,plain,(app(nil,X1)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[164])).
% fof(175, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|cons(X2,X1)=app(cons(X2,nil),X1))),inference(fof_nnf,[status(thm)],[17])).
% fof(176, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))),inference(variable_rename,[status(thm)],[175])).
% fof(177, plain,![X3]:![X4]:((~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[176])).
% cnf(178,plain,(cons(X2,X1)=app(cons(X2,nil),X1)|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[177])).
% fof(179, 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(180, 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)],[179])).
% fof(181, 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)],[180])).
% cnf(182,plain,(app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X1)|~ssList(X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[181])).
% fof(183, 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(184, 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)],[183])).
% fof(185, 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)],[184])).
% fof(186, 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)],[185])).
% cnf(189,plain,(nil=X2|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[186])).
% fof(231, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|(nil=X1|tl(app(X1,X2))=app(tl(X1),X2)))),inference(fof_nnf,[status(thm)],[25])).
% fof(232, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|(nil=X3|tl(app(X3,X4))=app(tl(X3),X4)))),inference(variable_rename,[status(thm)],[231])).
% fof(233, plain,![X3]:![X4]:((~(ssList(X4))|(nil=X3|tl(app(X3,X4))=app(tl(X3),X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[232])).
% cnf(234,plain,(tl(app(X1,X2))=app(tl(X1),X2)|nil=X1|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[233])).
% fof(239, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|tl(cons(X2,X1))=X1)),inference(fof_nnf,[status(thm)],[27])).
% fof(240, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|tl(cons(X4,X3))=X3)),inference(variable_rename,[status(thm)],[239])).
% fof(241, plain,![X3]:![X4]:((~(ssItem(X4))|tl(cons(X4,X3))=X3)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[240])).
% cnf(242,plain,(tl(cons(X2,X1))=X1|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[241])).
% fof(319, plain,![X1]:(~(ssList(X1))|(nil=X1|ssList(tl(X1)))),inference(fof_nnf,[status(thm)],[43])).
% fof(320, plain,![X2]:(~(ssList(X2))|(nil=X2|ssList(tl(X2)))),inference(variable_rename,[status(thm)],[319])).
% cnf(321,plain,(ssList(tl(X1))|nil=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[320])).
% fof(568, negated_conjecture,?[X1]:(ssList(X1)&?[X2]:(ssList(X2)&?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&(((X2=X4&X1=X3)&singletonP(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)))))))))),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)&singletonP(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)))))))))),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)&singletonP(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)))))))))),inference(skolemize,[status(esa)],[569])).
% cnf(571,negated_conjecture,(~neq(esk52_0,esk53_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(572,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(573,negated_conjecture,(ssList(esk55_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(574,negated_conjecture,(ssList(esk54_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(575,negated_conjecture,(ssItem(esk53_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(576,negated_conjecture,(ssItem(esk52_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(577,negated_conjecture,(singletonP(esk50_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(578,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[570])).
% cnf(583,negated_conjecture,(ssList(esk48_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(587,negated_conjecture,(singletonP(esk48_0)),inference(rw,[status(thm)],[577,578,theory(equality)])).
% cnf(653,negated_conjecture,(esk52_0=esk53_0|~ssItem(esk53_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[571,108,theory(equality)])).
% cnf(654,negated_conjecture,(esk52_0=esk53_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[653,575,theory(equality)])).
% cnf(655,negated_conjecture,(esk52_0=esk53_0|$false|$false),inference(rw,[status(thm)],[654,576,theory(equality)])).
% cnf(656,negated_conjecture,(esk52_0=esk53_0),inference(cn,[status(thm)],[655,theory(equality)])).
% cnf(662,plain,(tl(X1)=nil|~ssList(nil)|~ssItem(esk3_1(X1))|~singletonP(X1)|~ssList(X1)),inference(spm,[status(thm)],[242,120,theory(equality)])).
% cnf(663,plain,(tl(X1)=nil|$false|~ssItem(esk3_1(X1))|~singletonP(X1)|~ssList(X1)),inference(rw,[status(thm)],[662,133,theory(equality)])).
% cnf(664,plain,(tl(X1)=nil|~ssItem(esk3_1(X1))|~singletonP(X1)|~ssList(X1)),inference(cn,[status(thm)],[663,theory(equality)])).
% cnf(1352,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk52_0,nil)),esk55_0)=esk48_0),inference(rw,[status(thm)],[572,656,theory(equality)])).
% cnf(1549,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk52_0,nil))),esk55_0)=esk48_0|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(spm,[status(thm)],[1352,182,theory(equality)])).
% cnf(1583,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk52_0,nil))),esk55_0)=esk48_0|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[1549,574,theory(equality)])).
% cnf(1584,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk52_0,nil))),esk55_0)=esk48_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[1583,theory(equality)])).
% cnf(1585,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk52_0,nil))),esk55_0)=esk48_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1584,132,theory(equality)])).
% cnf(1586,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk52_0,nil))),esk55_0)=esk48_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1585,133,theory(equality)])).
% cnf(1587,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk52_0,nil))),esk55_0)=esk48_0|$false|$false),inference(rw,[status(thm)],[1586,576,theory(equality)])).
% cnf(1588,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk52_0,nil))),esk55_0)=esk48_0),inference(cn,[status(thm)],[1587,theory(equality)])).
% cnf(1606,negated_conjecture,(app(app(esk54_0,cons(esk52_0,cons(esk52_0,nil))),esk55_0)=esk48_0|~ssList(cons(esk52_0,nil))|~ssItem(esk52_0)),inference(spm,[status(thm)],[1588,178,theory(equality)])).
% cnf(1646,negated_conjecture,(app(app(esk54_0,cons(esk52_0,cons(esk52_0,nil))),esk55_0)=esk48_0|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[1606,576,theory(equality)])).
% cnf(1647,negated_conjecture,(app(app(esk54_0,cons(esk52_0,cons(esk52_0,nil))),esk55_0)=esk48_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[1646,theory(equality)])).
% cnf(1648,negated_conjecture,(app(app(esk54_0,cons(esk52_0,cons(esk52_0,nil))),esk55_0)=esk48_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1647,132,theory(equality)])).
% cnf(1649,negated_conjecture,(app(app(esk54_0,cons(esk52_0,cons(esk52_0,nil))),esk55_0)=esk48_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1648,133,theory(equality)])).
% cnf(1650,negated_conjecture,(app(app(esk54_0,cons(esk52_0,cons(esk52_0,nil))),esk55_0)=esk48_0|$false|$false),inference(rw,[status(thm)],[1649,576,theory(equality)])).
% cnf(1651,negated_conjecture,(app(app(esk54_0,cons(esk52_0,cons(esk52_0,nil))),esk55_0)=esk48_0),inference(cn,[status(thm)],[1650,theory(equality)])).
% cnf(1666,negated_conjecture,(esk48_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)],[182,1651,theory(equality)])).
% cnf(1698,negated_conjecture,(esk48_0=app(esk54_0,app(cons(esk52_0,cons(esk52_0,nil)),esk55_0))|$false|~ssList(cons(esk52_0,cons(esk52_0,nil)))|~ssList(esk54_0)),inference(rw,[status(thm)],[1666,573,theory(equality)])).
% cnf(1699,negated_conjecture,(esk48_0=app(esk54_0,app(cons(esk52_0,cons(esk52_0,nil)),esk55_0))|$false|~ssList(cons(esk52_0,cons(esk52_0,nil)))|$false),inference(rw,[status(thm)],[1698,574,theory(equality)])).
% cnf(1700,negated_conjecture,(esk48_0=app(esk54_0,app(cons(esk52_0,cons(esk52_0,nil)),esk55_0))|~ssList(cons(esk52_0,cons(esk52_0,nil)))),inference(cn,[status(thm)],[1699,theory(equality)])).
% cnf(1704,negated_conjecture,(app(esk54_0,app(cons(esk52_0,cons(esk52_0,nil)),esk55_0))=esk48_0|~ssList(cons(esk52_0,nil))|~ssItem(esk52_0)),inference(spm,[status(thm)],[1700,132,theory(equality)])).
% cnf(1705,negated_conjecture,(app(esk54_0,app(cons(esk52_0,cons(esk52_0,nil)),esk55_0))=esk48_0|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[1704,576,theory(equality)])).
% cnf(1706,negated_conjecture,(app(esk54_0,app(cons(esk52_0,cons(esk52_0,nil)),esk55_0))=esk48_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[1705,theory(equality)])).
% cnf(1707,negated_conjecture,(app(esk54_0,app(cons(esk52_0,cons(esk52_0,nil)),esk55_0))=esk48_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1706,132,theory(equality)])).
% cnf(1708,negated_conjecture,(app(esk54_0,app(cons(esk52_0,cons(esk52_0,nil)),esk55_0))=esk48_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1707,133,theory(equality)])).
% cnf(1709,negated_conjecture,(app(esk54_0,app(cons(esk52_0,cons(esk52_0,nil)),esk55_0))=esk48_0|$false|$false),inference(rw,[status(thm)],[1708,576,theory(equality)])).
% cnf(1710,negated_conjecture,(app(esk54_0,app(cons(esk52_0,cons(esk52_0,nil)),esk55_0))=esk48_0),inference(cn,[status(thm)],[1709,theory(equality)])).
% cnf(1725,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk52_0,nil),esk55_0)))=esk48_0|~ssList(cons(esk52_0,nil))|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1710,162,theory(equality)])).
% cnf(1757,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk52_0,nil),esk55_0)))=esk48_0|~ssList(cons(esk52_0,nil))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1725,573,theory(equality)])).
% cnf(1758,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk52_0,nil),esk55_0)))=esk48_0|~ssList(cons(esk52_0,nil))|$false|$false),inference(rw,[status(thm)],[1757,576,theory(equality)])).
% cnf(1759,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk52_0,nil),esk55_0)))=esk48_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[1758,theory(equality)])).
% cnf(1764,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk52_0,nil),esk55_0)))=esk48_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1759,132,theory(equality)])).
% cnf(1765,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk52_0,nil),esk55_0)))=esk48_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1764,133,theory(equality)])).
% cnf(1766,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk52_0,nil),esk55_0)))=esk48_0|$false|$false),inference(rw,[status(thm)],[1765,576,theory(equality)])).
% cnf(1767,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk52_0,nil),esk55_0)))=esk48_0),inference(cn,[status(thm)],[1766,theory(equality)])).
% cnf(1789,negated_conjecture,(app(esk54_0,cons(esk52_0,cons(esk52_0,esk55_0)))=esk48_0|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1767,178,theory(equality)])).
% cnf(1842,negated_conjecture,(app(esk54_0,cons(esk52_0,cons(esk52_0,esk55_0)))=esk48_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1789,573,theory(equality)])).
% cnf(1843,negated_conjecture,(app(esk54_0,cons(esk52_0,cons(esk52_0,esk55_0)))=esk48_0|$false|$false),inference(rw,[status(thm)],[1842,576,theory(equality)])).
% cnf(1844,negated_conjecture,(app(esk54_0,cons(esk52_0,cons(esk52_0,esk55_0)))=esk48_0),inference(cn,[status(thm)],[1843,theory(equality)])).
% cnf(1848,negated_conjecture,(tl(esk48_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)],[234,1844,theory(equality)])).
% cnf(1872,negated_conjecture,(tl(esk48_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)))|$false),inference(rw,[status(thm)],[1848,574,theory(equality)])).
% cnf(1873,negated_conjecture,(tl(esk48_0)=app(tl(esk54_0),cons(esk52_0,cons(esk52_0,esk55_0)))|nil=esk54_0|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))),inference(cn,[status(thm)],[1872,theory(equality)])).
% cnf(3375,negated_conjecture,(app(tl(esk54_0),cons(esk52_0,cons(esk52_0,esk55_0)))=tl(esk48_0)|esk54_0=nil|~ssList(cons(esk52_0,esk55_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[1873,132,theory(equality)])).
% cnf(3376,negated_conjecture,(app(tl(esk54_0),cons(esk52_0,cons(esk52_0,esk55_0)))=tl(esk48_0)|esk54_0=nil|~ssList(cons(esk52_0,esk55_0))|$false),inference(rw,[status(thm)],[3375,576,theory(equality)])).
% cnf(3377,negated_conjecture,(app(tl(esk54_0),cons(esk52_0,cons(esk52_0,esk55_0)))=tl(esk48_0)|esk54_0=nil|~ssList(cons(esk52_0,esk55_0))),inference(cn,[status(thm)],[3376,theory(equality)])).
% cnf(3378,negated_conjecture,(app(tl(esk54_0),cons(esk52_0,cons(esk52_0,esk55_0)))=tl(esk48_0)|esk54_0=nil|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[3377,132,theory(equality)])).
% cnf(3379,negated_conjecture,(app(tl(esk54_0),cons(esk52_0,cons(esk52_0,esk55_0)))=tl(esk48_0)|esk54_0=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3378,573,theory(equality)])).
% cnf(3380,negated_conjecture,(app(tl(esk54_0),cons(esk52_0,cons(esk52_0,esk55_0)))=tl(esk48_0)|esk54_0=nil|$false|$false),inference(rw,[status(thm)],[3379,576,theory(equality)])).
% cnf(3381,negated_conjecture,(app(tl(esk54_0),cons(esk52_0,cons(esk52_0,esk55_0)))=tl(esk48_0)|esk54_0=nil),inference(cn,[status(thm)],[3380,theory(equality)])).
% cnf(3418,plain,(tl(X1)=nil|~singletonP(X1)|~ssList(X1)),inference(csr,[status(thm)],[664,121])).
% cnf(3419,negated_conjecture,(tl(esk48_0)=nil|~ssList(esk48_0)),inference(spm,[status(thm)],[3418,587,theory(equality)])).
% cnf(3421,negated_conjecture,(tl(esk48_0)=nil|$false),inference(rw,[status(thm)],[3419,583,theory(equality)])).
% cnf(3422,negated_conjecture,(tl(esk48_0)=nil),inference(cn,[status(thm)],[3421,theory(equality)])).
% cnf(3425,negated_conjecture,(app(tl(esk54_0),cons(esk52_0,cons(esk52_0,esk55_0)))=nil|esk54_0=nil),inference(rw,[status(thm)],[3381,3422,theory(equality)])).
% cnf(3586,negated_conjecture,(nil=cons(esk52_0,cons(esk52_0,esk55_0))|esk54_0=nil|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))|~ssList(tl(esk54_0))),inference(spm,[status(thm)],[189,3425,theory(equality)])).
% cnf(3610,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|esk54_0=nil|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))|~ssList(esk54_0)),inference(spm,[status(thm)],[3586,321,theory(equality)])).
% cnf(3611,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|esk54_0=nil|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))|$false),inference(rw,[status(thm)],[3610,574,theory(equality)])).
% cnf(3612,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|esk54_0=nil|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))),inference(cn,[status(thm)],[3611,theory(equality)])).
% cnf(3613,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|esk54_0=nil|~ssList(cons(esk52_0,esk55_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[3612,132,theory(equality)])).
% cnf(3614,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|esk54_0=nil|~ssList(cons(esk52_0,esk55_0))|$false),inference(rw,[status(thm)],[3613,576,theory(equality)])).
% cnf(3615,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|esk54_0=nil|~ssList(cons(esk52_0,esk55_0))),inference(cn,[status(thm)],[3614,theory(equality)])).
% cnf(3616,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|esk54_0=nil|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[3615,132,theory(equality)])).
% cnf(3617,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|esk54_0=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3616,573,theory(equality)])).
% cnf(3618,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|esk54_0=nil|$false|$false),inference(rw,[status(thm)],[3617,576,theory(equality)])).
% cnf(3619,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=nil|esk54_0=nil),inference(cn,[status(thm)],[3618,theory(equality)])).
% cnf(3624,negated_conjecture,(esk54_0=nil|~ssList(cons(esk52_0,esk55_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[154,3619,theory(equality)])).
% cnf(3667,negated_conjecture,(esk54_0=nil|~ssList(cons(esk52_0,esk55_0))|$false),inference(rw,[status(thm)],[3624,576,theory(equality)])).
% cnf(3668,negated_conjecture,(esk54_0=nil|~ssList(cons(esk52_0,esk55_0))),inference(cn,[status(thm)],[3667,theory(equality)])).
% cnf(3724,negated_conjecture,(esk54_0=nil|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[3668,132,theory(equality)])).
% cnf(3725,negated_conjecture,(esk54_0=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3724,573,theory(equality)])).
% cnf(3726,negated_conjecture,(esk54_0=nil|$false|$false),inference(rw,[status(thm)],[3725,576,theory(equality)])).
% cnf(3727,negated_conjecture,(esk54_0=nil),inference(cn,[status(thm)],[3726,theory(equality)])).
% cnf(3761,negated_conjecture,(app(nil,cons(esk52_0,cons(esk52_0,esk55_0)))=esk48_0),inference(rw,[status(thm)],[1844,3727,theory(equality)])).
% cnf(3805,negated_conjecture,(esk48_0=cons(esk52_0,cons(esk52_0,esk55_0))|~ssList(cons(esk52_0,cons(esk52_0,esk55_0)))),inference(spm,[status(thm)],[165,3761,theory(equality)])).
% cnf(3910,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=esk48_0|~ssList(cons(esk52_0,esk55_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[3805,132,theory(equality)])).
% cnf(3911,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=esk48_0|~ssList(cons(esk52_0,esk55_0))|$false),inference(rw,[status(thm)],[3910,576,theory(equality)])).
% cnf(3912,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=esk48_0|~ssList(cons(esk52_0,esk55_0))),inference(cn,[status(thm)],[3911,theory(equality)])).
% cnf(3913,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=esk48_0|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[3912,132,theory(equality)])).
% cnf(3914,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=esk48_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3913,573,theory(equality)])).
% cnf(3915,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=esk48_0|$false|$false),inference(rw,[status(thm)],[3914,576,theory(equality)])).
% cnf(3916,negated_conjecture,(cons(esk52_0,cons(esk52_0,esk55_0))=esk48_0),inference(cn,[status(thm)],[3915,theory(equality)])).
% cnf(3925,negated_conjecture,(tl(esk48_0)=cons(esk52_0,esk55_0)|~ssList(cons(esk52_0,esk55_0))|~ssItem(esk52_0)),inference(spm,[status(thm)],[242,3916,theory(equality)])).
% cnf(3977,negated_conjecture,(nil=cons(esk52_0,esk55_0)|~ssList(cons(esk52_0,esk55_0))|~ssItem(esk52_0)),inference(rw,[status(thm)],[3925,3422,theory(equality)])).
% cnf(3978,negated_conjecture,(nil=cons(esk52_0,esk55_0)|~ssList(cons(esk52_0,esk55_0))|$false),inference(rw,[status(thm)],[3977,576,theory(equality)])).
% cnf(3979,negated_conjecture,(nil=cons(esk52_0,esk55_0)|~ssList(cons(esk52_0,esk55_0))),inference(cn,[status(thm)],[3978,theory(equality)])).
% cnf(4025,negated_conjecture,(cons(esk52_0,esk55_0)=nil|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[3979,132,theory(equality)])).
% cnf(4026,negated_conjecture,(cons(esk52_0,esk55_0)=nil|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[4025,573,theory(equality)])).
% cnf(4027,negated_conjecture,(cons(esk52_0,esk55_0)=nil|$false|$false),inference(rw,[status(thm)],[4026,576,theory(equality)])).
% cnf(4028,negated_conjecture,(cons(esk52_0,esk55_0)=nil),inference(cn,[status(thm)],[4027,theory(equality)])).
% cnf(4033,negated_conjecture,(~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[154,4028,theory(equality)])).
% cnf(4089,negated_conjecture,($false|~ssItem(esk52_0)),inference(rw,[status(thm)],[4033,573,theory(equality)])).
% cnf(4090,negated_conjecture,($false|$false),inference(rw,[status(thm)],[4089,576,theory(equality)])).
% cnf(4091,negated_conjecture,($false),inference(cn,[status(thm)],[4090,theory(equality)])).
% cnf(4092,negated_conjecture,($false),4091,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 420
% # ...of these trivial : 5
% # ...subsumed : 37
% # ...remaining for further processing: 378
% # Other redundant clauses eliminated : 69
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 41
% # Backward-rewritten : 87
% # Generated clauses : 1436
% # ...of the previous two non-trivial : 1258
% # Contextual simplify-reflections : 28
% # Paramodulations : 1343
% # Factorizations : 0
% # Equation resolutions : 93
% # Current number of processed clauses: 244
% # Positive orientable unit clauses: 38
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 3
% # Non-unit-clauses : 203
% # Current number of unprocessed clauses: 504
% # ...number of literals in the above : 3414
% # Clause-clause subsumption calls (NU) : 2664
% # Rec. Clause-clause subsumption calls : 1743
% # Unit Clause-clause subsumption calls : 131
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 47
% # Indexed BW rewrite successes : 24
% # Backwards rewriting index: 290 leaves, 1.30+/-1.041 terms/leaf
% # Paramod-from index: 129 leaves, 1.00+/-0.000 terms/leaf
% # Paramod-into index: 228 leaves, 1.21+/-0.916 terms/leaf
% # -------------------------------------------------
% # User time : 0.119 s
% # System time : 0.008 s
% # Total time : 0.127 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.29 CPU 0.38 WC
% FINAL PrfWatch: 0.29 CPU 0.38 WC
% SZS output end Solution for /tmp/SystemOnTPTP31064/SWC174+1.tptp
%
%------------------------------------------------------------------------------