TSTP Solution File: SWC190+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC190+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 07:18:54 EST 2010
% Result : Theorem 1.36s
% Output : Solution 1.36s
% 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/SystemOnTPTP31582/SWC190+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP31582/SWC190+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP31582/SWC190+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 31678
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.031 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>(memberP(X1,X2)<=>?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&app(X3,cons(X2,X4))=X1))))),file('/tmp/SRASS.s.p', ax3)).
% fof(3, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>ssList(cons(X2,X1)))),file('/tmp/SRASS.s.p', ax16)).
% fof(4, axiom,ssList(nil),file('/tmp/SRASS.s.p', ax17)).
% fof(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(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(96, conjecture,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:((((~(ssList(X4))|~(X2=X4))|~(X1=X3))|![X5]:(ssItem(X5)=>![X6]:(ssItem(X6)=>![X7]:(ssList(X7)=>![X8]:((~(ssList(X8))|~(app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8)=X1))|X5=X6)))))|![X9]:(ssItem(X9)=>?[X10]:((ssItem(X10)&~(X9=X10))&memberP(X3,X10))))))),file('/tmp/SRASS.s.p', co1)).
% fof(97, negated_conjecture,~(![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:((((~(ssList(X4))|~(X2=X4))|~(X1=X3))|![X5]:(ssItem(X5)=>![X6]:(ssItem(X6)=>![X7]:(ssList(X7)=>![X8]:((~(ssList(X8))|~(app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8)=X1))|X5=X6)))))|![X9]:(ssItem(X9)=>?[X10]:((ssItem(X10)&~(X9=X10))&memberP(X3,X10)))))))),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))|![X5]:(ssItem(X5)=>![X6]:(ssItem(X6)=>![X7]:(ssList(X7)=>![X8]:((~(ssList(X8))|~(app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8)=X1))|X5=X6)))))|![X9]:(ssItem(X9)=>?[X10]:((ssItem(X10)&~(X9=X10))&memberP(X3,X10)))))))),inference(fof_simplification,[status(thm)],[97,theory(equality)])).
% fof(109, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|((~(memberP(X1,X2))|?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&app(X3,cons(X2,X4))=X1)))&(![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|~(app(X3,cons(X2,X4))=X1)))|memberP(X1,X2))))),inference(fof_nnf,[status(thm)],[2])).
% fof(110, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssItem(X6))|((~(memberP(X5,X6))|?[X7]:(ssList(X7)&?[X8]:(ssList(X8)&app(X7,cons(X6,X8))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(X9,cons(X6,X10))=X5)))|memberP(X5,X6))))),inference(variable_rename,[status(thm)],[109])).
% fof(111, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssItem(X6))|((~(memberP(X5,X6))|(ssList(esk3_2(X5,X6))&(ssList(esk4_2(X5,X6))&app(esk3_2(X5,X6),cons(X6,esk4_2(X5,X6)))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(X9,cons(X6,X10))=X5)))|memberP(X5,X6))))),inference(skolemize,[status(esa)],[110])).
% fof(112, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(X9,cons(X6,X10))=X5))|~(ssList(X9)))|memberP(X5,X6))&(~(memberP(X5,X6))|(ssList(esk3_2(X5,X6))&(ssList(esk4_2(X5,X6))&app(esk3_2(X5,X6),cons(X6,esk4_2(X5,X6)))=X5))))|~(ssItem(X6)))|~(ssList(X5))),inference(shift_quantors,[status(thm)],[111])).
% fof(113, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(X9,cons(X6,X10))=X5))|~(ssList(X9)))|memberP(X5,X6))|~(ssItem(X6)))|~(ssList(X5)))&((((ssList(esk3_2(X5,X6))|~(memberP(X5,X6)))|~(ssItem(X6)))|~(ssList(X5)))&((((ssList(esk4_2(X5,X6))|~(memberP(X5,X6)))|~(ssItem(X6)))|~(ssList(X5)))&(((app(esk3_2(X5,X6),cons(X6,esk4_2(X5,X6)))=X5|~(memberP(X5,X6)))|~(ssItem(X6)))|~(ssList(X5)))))),inference(distribute,[status(thm)],[112])).
% cnf(117,plain,(memberP(X1,X2)|~ssList(X1)|~ssItem(X2)|~ssList(X3)|app(X3,cons(X2,X4))!=X1|~ssList(X4)),inference(split_conjunct,[status(thm)],[113])).
% fof(118, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|ssList(cons(X2,X1)))),inference(fof_nnf,[status(thm)],[3])).
% fof(119, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|ssList(cons(X4,X3)))),inference(variable_rename,[status(thm)],[118])).
% fof(120, plain,![X3]:![X4]:((~(ssItem(X4))|ssList(cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[119])).
% cnf(121,plain,(ssList(cons(X2,X1))|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[120])).
% cnf(122,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[4])).
% fof(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(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(568, negated_conjecture,?[X1]:(ssList(X1)&?[X2]:(ssList(X2)&?[X3]:(ssList(X3)&?[X4]:((((ssList(X4)&X2=X4)&X1=X3)&?[X5]:(ssItem(X5)&?[X6]:(ssItem(X6)&?[X7]:(ssList(X7)&?[X8]:((ssList(X8)&app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8)=X1)&~(X5=X6))))))&?[X9]:(ssItem(X9)&![X10]:((~(ssItem(X10))|X9=X10)|~(memberP(X3,X10)))))))),inference(fof_nnf,[status(thm)],[103])).
% fof(569, negated_conjecture,?[X11]:(ssList(X11)&?[X12]:(ssList(X12)&?[X13]:(ssList(X13)&?[X14]:((((ssList(X14)&X12=X14)&X11=X13)&?[X15]:(ssItem(X15)&?[X16]:(ssItem(X16)&?[X17]:(ssList(X17)&?[X18]:((ssList(X18)&app(app(app(X17,cons(X15,nil)),cons(X16,nil)),X18)=X11)&~(X15=X16))))))&?[X19]:(ssItem(X19)&![X20]:((~(ssItem(X20))|X19=X20)|~(memberP(X13,X20)))))))),inference(variable_rename,[status(thm)],[568])).
% fof(570, negated_conjecture,(ssList(esk48_0)&(ssList(esk49_0)&(ssList(esk50_0)&((((ssList(esk51_0)&esk49_0=esk51_0)&esk48_0=esk50_0)&(ssItem(esk52_0)&(ssItem(esk53_0)&(ssList(esk54_0)&((ssList(esk55_0)&app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0)=esk48_0)&~(esk52_0=esk53_0))))))&(ssItem(esk56_0)&![X20]:((~(ssItem(X20))|esk56_0=X20)|~(memberP(esk50_0,X20)))))))),inference(skolemize,[status(esa)],[569])).
% fof(571, negated_conjecture,![X20]:(((((((~(ssItem(X20))|esk56_0=X20)|~(memberP(esk50_0,X20)))&ssItem(esk56_0))&(((ssList(esk51_0)&esk49_0=esk51_0)&esk48_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)&~(esk52_0=esk53_0)))))))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(shift_quantors,[status(thm)],[570])).
% cnf(572,negated_conjecture,(ssList(esk48_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(575,negated_conjecture,(esk52_0!=esk53_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(576,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0)=esk48_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(577,negated_conjecture,(ssList(esk55_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(578,negated_conjecture,(ssList(esk54_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(579,negated_conjecture,(ssItem(esk53_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(580,negated_conjecture,(ssItem(esk52_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(581,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(585,negated_conjecture,(esk56_0=X1|~memberP(esk50_0,X1)|~ssItem(X1)),inference(split_conjunct,[status(thm)],[571])).
% cnf(589,negated_conjecture,(esk56_0=X1|~ssItem(X1)|~memberP(esk48_0,X1)),inference(rw,[status(thm)],[585,581,theory(equality)])).
% cnf(887,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk53_0,nil),esk55_0))=esk48_0|~ssList(esk55_0)|~ssList(cons(esk53_0,nil))|~ssList(app(esk54_0,cons(esk52_0,nil)))),inference(spm,[status(thm)],[576,187,theory(equality)])).
% cnf(888,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))),esk55_0)=esk48_0|~ssList(cons(esk53_0,nil))|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(spm,[status(thm)],[576,187,theory(equality)])).
% cnf(896,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk53_0,nil),esk55_0))=esk48_0|$false|~ssList(cons(esk53_0,nil))|~ssList(app(esk54_0,cons(esk52_0,nil)))),inference(rw,[status(thm)],[887,577,theory(equality)])).
% cnf(897,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk53_0,nil),esk55_0))=esk48_0|~ssList(cons(esk53_0,nil))|~ssList(app(esk54_0,cons(esk52_0,nil)))),inference(cn,[status(thm)],[896,theory(equality)])).
% cnf(898,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))),esk55_0)=esk48_0|~ssList(cons(esk53_0,nil))|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[888,578,theory(equality)])).
% cnf(899,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))),esk55_0)=esk48_0|~ssList(cons(esk53_0,nil))|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[898,theory(equality)])).
% cnf(1527,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))),esk55_0)=esk48_0|~ssList(cons(esk52_0,nil))|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[899,121,theory(equality)])).
% cnf(1528,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))),esk55_0)=esk48_0|~ssList(cons(esk52_0,nil))|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[1527,122,theory(equality)])).
% cnf(1529,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))),esk55_0)=esk48_0|~ssList(cons(esk52_0,nil))|$false|$false),inference(rw,[status(thm)],[1528,579,theory(equality)])).
% cnf(1530,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))),esk55_0)=esk48_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[1529,theory(equality)])).
% cnf(1531,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))),esk55_0)=esk48_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1530,121,theory(equality)])).
% cnf(1532,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))),esk55_0)=esk48_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1531,122,theory(equality)])).
% cnf(1533,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))),esk55_0)=esk48_0|$false|$false),inference(rw,[status(thm)],[1532,580,theory(equality)])).
% cnf(1534,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))),esk55_0)=esk48_0),inference(cn,[status(thm)],[1533,theory(equality)])).
% cnf(1552,negated_conjecture,(app(app(esk54_0,cons(esk52_0,cons(esk53_0,nil))),esk55_0)=esk48_0|~ssList(cons(esk53_0,nil))|~ssItem(esk52_0)),inference(spm,[status(thm)],[1534,183,theory(equality)])).
% cnf(1592,negated_conjecture,(app(app(esk54_0,cons(esk52_0,cons(esk53_0,nil))),esk55_0)=esk48_0|~ssList(cons(esk53_0,nil))|$false),inference(rw,[status(thm)],[1552,580,theory(equality)])).
% cnf(1593,negated_conjecture,(app(app(esk54_0,cons(esk52_0,cons(esk53_0,nil))),esk55_0)=esk48_0|~ssList(cons(esk53_0,nil))),inference(cn,[status(thm)],[1592,theory(equality)])).
% cnf(1594,negated_conjecture,(app(app(esk54_0,cons(esk52_0,cons(esk53_0,nil))),esk55_0)=esk48_0|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[1593,121,theory(equality)])).
% cnf(1595,negated_conjecture,(app(app(esk54_0,cons(esk52_0,cons(esk53_0,nil))),esk55_0)=esk48_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[1594,122,theory(equality)])).
% cnf(1596,negated_conjecture,(app(app(esk54_0,cons(esk52_0,cons(esk53_0,nil))),esk55_0)=esk48_0|$false|$false),inference(rw,[status(thm)],[1595,579,theory(equality)])).
% cnf(1597,negated_conjecture,(app(app(esk54_0,cons(esk52_0,cons(esk53_0,nil))),esk55_0)=esk48_0),inference(cn,[status(thm)],[1596,theory(equality)])).
% cnf(1612,negated_conjecture,(esk48_0=app(esk54_0,app(cons(esk52_0,cons(esk53_0,nil)),esk55_0))|~ssList(esk55_0)|~ssList(cons(esk52_0,cons(esk53_0,nil)))|~ssList(esk54_0)),inference(spm,[status(thm)],[187,1597,theory(equality)])).
% cnf(1644,negated_conjecture,(esk48_0=app(esk54_0,app(cons(esk52_0,cons(esk53_0,nil)),esk55_0))|$false|~ssList(cons(esk52_0,cons(esk53_0,nil)))|~ssList(esk54_0)),inference(rw,[status(thm)],[1612,577,theory(equality)])).
% cnf(1645,negated_conjecture,(esk48_0=app(esk54_0,app(cons(esk52_0,cons(esk53_0,nil)),esk55_0))|$false|~ssList(cons(esk52_0,cons(esk53_0,nil)))|$false),inference(rw,[status(thm)],[1644,578,theory(equality)])).
% cnf(1646,negated_conjecture,(esk48_0=app(esk54_0,app(cons(esk52_0,cons(esk53_0,nil)),esk55_0))|~ssList(cons(esk52_0,cons(esk53_0,nil)))),inference(cn,[status(thm)],[1645,theory(equality)])).
% cnf(1650,negated_conjecture,(app(esk54_0,app(cons(esk52_0,cons(esk53_0,nil)),esk55_0))=esk48_0|~ssList(cons(esk53_0,nil))|~ssItem(esk52_0)),inference(spm,[status(thm)],[1646,121,theory(equality)])).
% cnf(1651,negated_conjecture,(app(esk54_0,app(cons(esk52_0,cons(esk53_0,nil)),esk55_0))=esk48_0|~ssList(cons(esk53_0,nil))|$false),inference(rw,[status(thm)],[1650,580,theory(equality)])).
% cnf(1652,negated_conjecture,(app(esk54_0,app(cons(esk52_0,cons(esk53_0,nil)),esk55_0))=esk48_0|~ssList(cons(esk53_0,nil))),inference(cn,[status(thm)],[1651,theory(equality)])).
% cnf(1653,negated_conjecture,(app(esk54_0,app(cons(esk52_0,cons(esk53_0,nil)),esk55_0))=esk48_0|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[1652,121,theory(equality)])).
% cnf(1654,negated_conjecture,(app(esk54_0,app(cons(esk52_0,cons(esk53_0,nil)),esk55_0))=esk48_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[1653,122,theory(equality)])).
% cnf(1655,negated_conjecture,(app(esk54_0,app(cons(esk52_0,cons(esk53_0,nil)),esk55_0))=esk48_0|$false|$false),inference(rw,[status(thm)],[1654,579,theory(equality)])).
% cnf(1656,negated_conjecture,(app(esk54_0,app(cons(esk52_0,cons(esk53_0,nil)),esk55_0))=esk48_0),inference(cn,[status(thm)],[1655,theory(equality)])).
% cnf(1671,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk53_0,nil),esk55_0)))=esk48_0|~ssList(cons(esk53_0,nil))|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1656,151,theory(equality)])).
% cnf(1703,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk53_0,nil),esk55_0)))=esk48_0|~ssList(cons(esk53_0,nil))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1671,577,theory(equality)])).
% cnf(1704,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk53_0,nil),esk55_0)))=esk48_0|~ssList(cons(esk53_0,nil))|$false|$false),inference(rw,[status(thm)],[1703,580,theory(equality)])).
% cnf(1705,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk53_0,nil),esk55_0)))=esk48_0|~ssList(cons(esk53_0,nil))),inference(cn,[status(thm)],[1704,theory(equality)])).
% cnf(1706,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk53_0,nil),esk55_0)))=esk48_0|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[1705,121,theory(equality)])).
% cnf(1707,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk53_0,nil),esk55_0)))=esk48_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[1706,122,theory(equality)])).
% cnf(1708,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk53_0,nil),esk55_0)))=esk48_0|$false|$false),inference(rw,[status(thm)],[1707,579,theory(equality)])).
% cnf(1709,negated_conjecture,(app(esk54_0,cons(esk52_0,app(cons(esk53_0,nil),esk55_0)))=esk48_0),inference(cn,[status(thm)],[1708,theory(equality)])).
% cnf(1731,negated_conjecture,(app(esk54_0,cons(esk52_0,cons(esk53_0,esk55_0)))=esk48_0|~ssList(esk55_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[1709,183,theory(equality)])).
% cnf(1784,negated_conjecture,(app(esk54_0,cons(esk52_0,cons(esk53_0,esk55_0)))=esk48_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[1731,577,theory(equality)])).
% cnf(1785,negated_conjecture,(app(esk54_0,cons(esk52_0,cons(esk53_0,esk55_0)))=esk48_0|$false|$false),inference(rw,[status(thm)],[1784,579,theory(equality)])).
% cnf(1786,negated_conjecture,(app(esk54_0,cons(esk52_0,cons(esk53_0,esk55_0)))=esk48_0),inference(cn,[status(thm)],[1785,theory(equality)])).
% cnf(1801,negated_conjecture,(memberP(X1,esk52_0)|esk48_0!=X1|~ssList(cons(esk53_0,esk55_0))|~ssList(esk54_0)|~ssList(X1)|~ssItem(esk52_0)),inference(spm,[status(thm)],[117,1786,theory(equality)])).
% cnf(1837,negated_conjecture,(memberP(X1,esk52_0)|esk48_0!=X1|~ssList(cons(esk53_0,esk55_0))|$false|~ssList(X1)|~ssItem(esk52_0)),inference(rw,[status(thm)],[1801,578,theory(equality)])).
% cnf(1838,negated_conjecture,(memberP(X1,esk52_0)|esk48_0!=X1|~ssList(cons(esk53_0,esk55_0))|$false|~ssList(X1)|$false),inference(rw,[status(thm)],[1837,580,theory(equality)])).
% cnf(1839,negated_conjecture,(memberP(X1,esk52_0)|esk48_0!=X1|~ssList(cons(esk53_0,esk55_0))|~ssList(X1)),inference(cn,[status(thm)],[1838,theory(equality)])).
% cnf(2631,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk53_0,nil),esk55_0))=esk48_0|~ssList(app(esk54_0,cons(esk52_0,nil)))|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[897,121,theory(equality)])).
% cnf(2632,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk53_0,nil),esk55_0))=esk48_0|~ssList(app(esk54_0,cons(esk52_0,nil)))|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2631,122,theory(equality)])).
% cnf(2633,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk53_0,nil),esk55_0))=esk48_0|~ssList(app(esk54_0,cons(esk52_0,nil)))|$false|$false),inference(rw,[status(thm)],[2632,579,theory(equality)])).
% cnf(2634,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk53_0,nil),esk55_0))=esk48_0|~ssList(app(esk54_0,cons(esk52_0,nil)))),inference(cn,[status(thm)],[2633,theory(equality)])).
% cnf(2635,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk53_0,nil),esk55_0))=esk48_0|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(spm,[status(thm)],[2634,147,theory(equality)])).
% cnf(2636,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk53_0,nil),esk55_0))=esk48_0|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[2635,578,theory(equality)])).
% cnf(2637,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk53_0,nil),esk55_0))=esk48_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[2636,theory(equality)])).
% cnf(2638,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk53_0,nil),esk55_0))=esk48_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[2637,121,theory(equality)])).
% cnf(2639,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk53_0,nil),esk55_0))=esk48_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[2638,122,theory(equality)])).
% cnf(2640,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk53_0,nil),esk55_0))=esk48_0|$false|$false),inference(rw,[status(thm)],[2639,580,theory(equality)])).
% cnf(2641,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk53_0,nil),esk55_0))=esk48_0),inference(cn,[status(thm)],[2640,theory(equality)])).
% cnf(2659,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,esk55_0))=esk48_0|~ssList(esk55_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[2641,183,theory(equality)])).
% cnf(2672,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,esk55_0))=esk48_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2659,577,theory(equality)])).
% cnf(2673,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,esk55_0))=esk48_0|$false|$false),inference(rw,[status(thm)],[2672,579,theory(equality)])).
% cnf(2674,negated_conjecture,(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,esk55_0))=esk48_0),inference(cn,[status(thm)],[2673,theory(equality)])).
% cnf(2689,negated_conjecture,(memberP(X1,esk53_0)|esk48_0!=X1|~ssList(esk55_0)|~ssList(app(esk54_0,cons(esk52_0,nil)))|~ssList(X1)|~ssItem(esk53_0)),inference(spm,[status(thm)],[117,2674,theory(equality)])).
% cnf(2703,negated_conjecture,(memberP(X1,esk53_0)|esk48_0!=X1|$false|~ssList(app(esk54_0,cons(esk52_0,nil)))|~ssList(X1)|~ssItem(esk53_0)),inference(rw,[status(thm)],[2689,577,theory(equality)])).
% cnf(2704,negated_conjecture,(memberP(X1,esk53_0)|esk48_0!=X1|$false|~ssList(app(esk54_0,cons(esk52_0,nil)))|~ssList(X1)|$false),inference(rw,[status(thm)],[2703,579,theory(equality)])).
% cnf(2705,negated_conjecture,(memberP(X1,esk53_0)|esk48_0!=X1|~ssList(app(esk54_0,cons(esk52_0,nil)))|~ssList(X1)),inference(cn,[status(thm)],[2704,theory(equality)])).
% cnf(3254,negated_conjecture,(memberP(X1,esk52_0)|esk48_0!=X1|~ssList(X1)|~ssList(esk55_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[1839,121,theory(equality)])).
% cnf(3255,negated_conjecture,(memberP(X1,esk52_0)|esk48_0!=X1|~ssList(X1)|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[3254,577,theory(equality)])).
% cnf(3256,negated_conjecture,(memberP(X1,esk52_0)|esk48_0!=X1|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[3255,579,theory(equality)])).
% cnf(3257,negated_conjecture,(memberP(X1,esk52_0)|esk48_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[3256,theory(equality)])).
% cnf(3258,negated_conjecture,(memberP(esk48_0,esk52_0)|~ssList(esk48_0)),inference(er,[status(thm)],[3257,theory(equality)])).
% cnf(3259,negated_conjecture,(memberP(esk48_0,esk52_0)|$false),inference(rw,[status(thm)],[3258,572,theory(equality)])).
% cnf(3260,negated_conjecture,(memberP(esk48_0,esk52_0)),inference(cn,[status(thm)],[3259,theory(equality)])).
% cnf(3267,negated_conjecture,(esk56_0=esk52_0|~ssItem(esk52_0)),inference(spm,[status(thm)],[589,3260,theory(equality)])).
% cnf(3286,negated_conjecture,(esk56_0=esk52_0|$false),inference(rw,[status(thm)],[3267,580,theory(equality)])).
% cnf(3287,negated_conjecture,(esk56_0=esk52_0),inference(cn,[status(thm)],[3286,theory(equality)])).
% cnf(3288,negated_conjecture,(esk52_0=X1|~memberP(esk48_0,X1)|~ssItem(X1)),inference(rw,[status(thm)],[589,3287,theory(equality)])).
% cnf(3516,negated_conjecture,(memberP(X1,esk53_0)|esk48_0!=X1|~ssList(X1)|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(spm,[status(thm)],[2705,147,theory(equality)])).
% cnf(3517,negated_conjecture,(memberP(X1,esk53_0)|esk48_0!=X1|~ssList(X1)|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[3516,578,theory(equality)])).
% cnf(3518,negated_conjecture,(memberP(X1,esk53_0)|esk48_0!=X1|~ssList(X1)|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[3517,theory(equality)])).
% cnf(3519,negated_conjecture,(memberP(X1,esk53_0)|esk48_0!=X1|~ssList(X1)|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[3518,121,theory(equality)])).
% cnf(3520,negated_conjecture,(memberP(X1,esk53_0)|esk48_0!=X1|~ssList(X1)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[3519,122,theory(equality)])).
% cnf(3521,negated_conjecture,(memberP(X1,esk53_0)|esk48_0!=X1|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[3520,580,theory(equality)])).
% cnf(3522,negated_conjecture,(memberP(X1,esk53_0)|esk48_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[3521,theory(equality)])).
% cnf(3523,negated_conjecture,(memberP(esk48_0,esk53_0)|~ssList(esk48_0)),inference(er,[status(thm)],[3522,theory(equality)])).
% cnf(3524,negated_conjecture,(memberP(esk48_0,esk53_0)|$false),inference(rw,[status(thm)],[3523,572,theory(equality)])).
% cnf(3525,negated_conjecture,(memberP(esk48_0,esk53_0)),inference(cn,[status(thm)],[3524,theory(equality)])).
% cnf(3532,negated_conjecture,(esk52_0=esk53_0|~ssItem(esk53_0)),inference(spm,[status(thm)],[3288,3525,theory(equality)])).
% cnf(3551,negated_conjecture,(esk52_0=esk53_0|$false),inference(rw,[status(thm)],[3532,579,theory(equality)])).
% cnf(3552,negated_conjecture,(esk52_0=esk53_0),inference(cn,[status(thm)],[3551,theory(equality)])).
% cnf(3553,negated_conjecture,($false),inference(sr,[status(thm)],[3552,575,theory(equality)])).
% cnf(3554,negated_conjecture,($false),3553,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 402
% # ...of these trivial : 2
% # ...subsumed : 42
% # ...remaining for further processing: 358
% # Other redundant clauses eliminated : 69
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 28
% # Backward-rewritten : 29
% # Generated clauses : 1245
% # ...of the previous two non-trivial : 1068
% # Contextual simplify-reflections : 29
% # Paramodulations : 1149
% # Factorizations : 0
% # Equation resolutions : 96
% # Current number of processed clauses: 295
% # Positive orientable unit clauses: 52
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 4
% # Non-unit-clauses : 239
% # Current number of unprocessed clauses: 777
% # ...number of literals in the above : 4858
% # Clause-clause subsumption calls (NU) : 2677
% # Rec. Clause-clause subsumption calls : 1759
% # Unit Clause-clause subsumption calls : 118
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 39
% # Indexed BW rewrite successes : 17
% # Backwards rewriting index: 319 leaves, 1.33+/-1.062 terms/leaf
% # Paramod-from index: 134 leaves, 1.06+/-0.382 terms/leaf
% # Paramod-into index: 269 leaves, 1.22+/-0.918 terms/leaf
% # -------------------------------------------------
% # User time : 0.114 s
% # System time : 0.005 s
% # Total time : 0.119 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.26 CPU 0.36 WC
% FINAL PrfWatch: 0.26 CPU 0.36 WC
% SZS output end Solution for /tmp/SystemOnTPTP31582/SWC190+1.tptp
%
%------------------------------------------------------------------------------