TSTP Solution File: SWC413+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC413+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 : art07.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 08:05:25 EST 2010
% Result : Theorem 2.89s
% Output : Solution 2.89s
% 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/SystemOnTPTP27663/SWC413+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP27663/SWC413+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP27663/SWC413+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 27759
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.033 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)=>ssList(cons(X2,X1)))),file('/tmp/SRASS.s.p', ax16)).
% fof(3, axiom,ssList(nil),file('/tmp/SRASS.s.p', ax17)).
% fof(8, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>ssList(app(X1,X2)))),file('/tmp/SRASS.s.p', ax26)).
% fof(9, 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(10, axiom,![X1]:(ssList(X1)=>app(nil,X1)=X1),file('/tmp/SRASS.s.p', ax28)).
% fof(13, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>cons(X2,X1)=app(cons(X2,nil),X1))),file('/tmp/SRASS.s.p', ax81)).
% fof(14, 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(23, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>hd(cons(X2,X1))=X2)),file('/tmp/SRASS.s.p', ax23)).
% fof(24, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>tl(cons(X2,X1))=X1)),file('/tmp/SRASS.s.p', ax25)).
% 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)&app(app(cons(X5,nil),cons(X6,nil)),X7)=X2)&app(app(cons(X6,nil),cons(X5,nil)),X7)=X1)))|![X8]:(ssItem(X8)=>![X9]:(ssItem(X9)=>![X10]:(ssList(X10)=>~(app(app(cons(X8,nil),cons(X9,nil)),X10)=X2)))))|![X11]:(ssItem(X11)=>![X12]:(ssItem(X12)=>![X13]:(ssList(X13)=>(~(app(app(cons(X11,nil),cons(X12,nil)),X13)=X4)|~(app(app(cons(X12,nil),cons(X11,nil)),X13)=X3))))))&(?[X14]:(ssItem(X14)&?[X15]:(ssItem(X15)&?[X16]:(ssList(X16)&app(app(cons(X14,nil),cons(X15,nil)),X16)=X4)))|![X8]:(ssItem(X8)=>![X9]:(ssItem(X9)=>![X10]:(ssList(X10)=>~(app(app(cons(X8,nil),cons(X9,nil)),X10)=X2))))))))))),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)&app(app(cons(X5,nil),cons(X6,nil)),X7)=X2)&app(app(cons(X6,nil),cons(X5,nil)),X7)=X1)))|![X8]:(ssItem(X8)=>![X9]:(ssItem(X9)=>![X10]:(ssList(X10)=>~(app(app(cons(X8,nil),cons(X9,nil)),X10)=X2)))))|![X11]:(ssItem(X11)=>![X12]:(ssItem(X12)=>![X13]:(ssList(X13)=>(~(app(app(cons(X11,nil),cons(X12,nil)),X13)=X4)|~(app(app(cons(X12,nil),cons(X11,nil)),X13)=X3))))))&(?[X14]:(ssItem(X14)&?[X15]:(ssItem(X15)&?[X16]:(ssList(X16)&app(app(cons(X14,nil),cons(X15,nil)),X16)=X4)))|![X8]:(ssItem(X8)=>![X9]:(ssItem(X9)=>![X10]:(ssList(X10)=>~(app(app(cons(X8,nil),cons(X9,nil)),X10)=X2)))))))))))),inference(assume_negation,[status(cth)],[96])).
% fof(108, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|ssList(cons(X2,X1)))),inference(fof_nnf,[status(thm)],[2])).
% fof(109, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|ssList(cons(X4,X3)))),inference(variable_rename,[status(thm)],[108])).
% fof(110, plain,![X3]:![X4]:((~(ssItem(X4))|ssList(cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[109])).
% cnf(111,plain,(ssList(cons(X2,X1))|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[110])).
% cnf(112,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[3])).
% fof(134, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|ssList(app(X1,X2)))),inference(fof_nnf,[status(thm)],[8])).
% fof(135, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|ssList(app(X3,X4)))),inference(variable_rename,[status(thm)],[134])).
% fof(136, plain,![X3]:![X4]:((~(ssList(X4))|ssList(app(X3,X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[135])).
% cnf(137,plain,(ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[136])).
% fof(138, 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)],[9])).
% fof(139, 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)],[138])).
% fof(140, 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)],[139])).
% cnf(141,plain,(cons(X3,app(X2,X1))=app(cons(X3,X2),X1)|~ssList(X1)|~ssList(X2)|~ssItem(X3)),inference(split_conjunct,[status(thm)],[140])).
% fof(142, plain,![X1]:(~(ssList(X1))|app(nil,X1)=X1),inference(fof_nnf,[status(thm)],[10])).
% fof(143, plain,![X2]:(~(ssList(X2))|app(nil,X2)=X2),inference(variable_rename,[status(thm)],[142])).
% cnf(144,plain,(app(nil,X1)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[143])).
% fof(153, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|cons(X2,X1)=app(cons(X2,nil),X1))),inference(fof_nnf,[status(thm)],[13])).
% fof(154, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))),inference(variable_rename,[status(thm)],[153])).
% fof(155, plain,![X3]:![X4]:((~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[154])).
% cnf(156,plain,(cons(X2,X1)=app(cons(X2,nil),X1)|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[155])).
% fof(157, 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)],[14])).
% fof(158, 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)],[157])).
% fof(159, 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)],[158])).
% cnf(160,plain,(app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X1)|~ssList(X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[159])).
% fof(221, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|hd(cons(X2,X1))=X2)),inference(fof_nnf,[status(thm)],[23])).
% fof(222, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|hd(cons(X4,X3))=X4)),inference(variable_rename,[status(thm)],[221])).
% fof(223, plain,![X3]:![X4]:((~(ssItem(X4))|hd(cons(X4,X3))=X4)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[222])).
% cnf(224,plain,(hd(cons(X2,X1))=X2|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[223])).
% fof(225, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|tl(cons(X2,X1))=X1)),inference(fof_nnf,[status(thm)],[24])).
% fof(226, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|tl(cons(X4,X3))=X3)),inference(variable_rename,[status(thm)],[225])).
% fof(227, plain,![X3]:![X4]:((~(ssItem(X4))|tl(cons(X4,X3))=X3)|~(ssList(X3))),inference(shift_quantors,[status(thm)],[226])).
% cnf(228,plain,(tl(cons(X2,X1))=X1|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[227])).
% fof(567, 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))|~(app(app(cons(X5,nil),cons(X6,nil)),X7)=X2))|~(app(app(cons(X6,nil),cons(X5,nil)),X7)=X1))))&?[X8]:(ssItem(X8)&?[X9]:(ssItem(X9)&?[X10]:(ssList(X10)&app(app(cons(X8,nil),cons(X9,nil)),X10)=X2))))&?[X11]:(ssItem(X11)&?[X12]:(ssItem(X12)&?[X13]:(ssList(X13)&(app(app(cons(X11,nil),cons(X12,nil)),X13)=X4&app(app(cons(X12,nil),cons(X11,nil)),X13)=X3)))))|(![X14]:(~(ssItem(X14))|![X15]:(~(ssItem(X15))|![X16]:(~(ssList(X16))|~(app(app(cons(X14,nil),cons(X15,nil)),X16)=X4))))&?[X8]:(ssItem(X8)&?[X9]:(ssItem(X9)&?[X10]:(ssList(X10)&app(app(cons(X8,nil),cons(X9,nil)),X10)=X2)))))))))),inference(fof_nnf,[status(thm)],[97])).
% fof(568, negated_conjecture,?[X17]:(ssList(X17)&?[X18]:(ssList(X18)&?[X19]:(ssList(X19)&?[X20]:(ssList(X20)&((X18=X20&X17=X19)&(((![X21]:(~(ssItem(X21))|![X22]:(~(ssItem(X22))|![X23]:((~(ssList(X23))|~(app(app(cons(X21,nil),cons(X22,nil)),X23)=X18))|~(app(app(cons(X22,nil),cons(X21,nil)),X23)=X17))))&?[X24]:(ssItem(X24)&?[X25]:(ssItem(X25)&?[X26]:(ssList(X26)&app(app(cons(X24,nil),cons(X25,nil)),X26)=X18))))&?[X27]:(ssItem(X27)&?[X28]:(ssItem(X28)&?[X29]:(ssList(X29)&(app(app(cons(X27,nil),cons(X28,nil)),X29)=X20&app(app(cons(X28,nil),cons(X27,nil)),X29)=X19)))))|(![X30]:(~(ssItem(X30))|![X31]:(~(ssItem(X31))|![X32]:(~(ssList(X32))|~(app(app(cons(X30,nil),cons(X31,nil)),X32)=X20))))&?[X33]:(ssItem(X33)&?[X34]:(ssItem(X34)&?[X35]:(ssList(X35)&app(app(cons(X33,nil),cons(X34,nil)),X35)=X18)))))))))),inference(variable_rename,[status(thm)],[567])).
% fof(569, negated_conjecture,(ssList(esk48_0)&(ssList(esk49_0)&(ssList(esk50_0)&(ssList(esk51_0)&((esk49_0=esk51_0&esk48_0=esk50_0)&(((![X21]:(~(ssItem(X21))|![X22]:(~(ssItem(X22))|![X23]:((~(ssList(X23))|~(app(app(cons(X21,nil),cons(X22,nil)),X23)=esk49_0))|~(app(app(cons(X22,nil),cons(X21,nil)),X23)=esk48_0))))&(ssItem(esk52_0)&(ssItem(esk53_0)&(ssList(esk54_0)&app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0))))&(ssItem(esk55_0)&(ssItem(esk56_0)&(ssList(esk57_0)&(app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk51_0&app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk50_0)))))|(![X30]:(~(ssItem(X30))|![X31]:(~(ssItem(X31))|![X32]:(~(ssList(X32))|~(app(app(cons(X30,nil),cons(X31,nil)),X32)=esk51_0))))&(ssItem(esk58_0)&(ssItem(esk59_0)&(ssList(esk60_0)&app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0)))))))))),inference(skolemize,[status(esa)],[568])).
% fof(570, negated_conjecture,![X21]:![X22]:![X23]:![X30]:![X31]:![X32]:((((((((((~(ssList(X32))|~(app(app(cons(X30,nil),cons(X31,nil)),X32)=esk51_0))|~(ssItem(X31)))|~(ssItem(X30)))&(ssItem(esk58_0)&(ssItem(esk59_0)&(ssList(esk60_0)&app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0))))|((((((~(ssList(X23))|~(app(app(cons(X21,nil),cons(X22,nil)),X23)=esk49_0))|~(app(app(cons(X22,nil),cons(X21,nil)),X23)=esk48_0))|~(ssItem(X22)))|~(ssItem(X21)))&(ssItem(esk52_0)&(ssItem(esk53_0)&(ssList(esk54_0)&app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0))))&(ssItem(esk55_0)&(ssItem(esk56_0)&(ssList(esk57_0)&(app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk51_0&app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk50_0))))))&(esk49_0=esk51_0&esk48_0=esk50_0))&ssList(esk51_0))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(shift_quantors,[status(thm)],[569])).
% fof(571, negated_conjecture,![X21]:![X22]:![X23]:![X30]:![X31]:![X32]:(((((((((((((~(ssList(X23))|~(app(app(cons(X21,nil),cons(X22,nil)),X23)=esk49_0))|~(app(app(cons(X22,nil),cons(X21,nil)),X23)=esk48_0))|~(ssItem(X22)))|~(ssItem(X21)))|(((~(ssList(X32))|~(app(app(cons(X30,nil),cons(X31,nil)),X32)=esk51_0))|~(ssItem(X31)))|~(ssItem(X30))))&((ssItem(esk52_0)|(((~(ssList(X32))|~(app(app(cons(X30,nil),cons(X31,nil)),X32)=esk51_0))|~(ssItem(X31)))|~(ssItem(X30))))&((ssItem(esk53_0)|(((~(ssList(X32))|~(app(app(cons(X30,nil),cons(X31,nil)),X32)=esk51_0))|~(ssItem(X31)))|~(ssItem(X30))))&((ssList(esk54_0)|(((~(ssList(X32))|~(app(app(cons(X30,nil),cons(X31,nil)),X32)=esk51_0))|~(ssItem(X31)))|~(ssItem(X30))))&(app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|(((~(ssList(X32))|~(app(app(cons(X30,nil),cons(X31,nil)),X32)=esk51_0))|~(ssItem(X31)))|~(ssItem(X30))))))))&((ssItem(esk55_0)|(((~(ssList(X32))|~(app(app(cons(X30,nil),cons(X31,nil)),X32)=esk51_0))|~(ssItem(X31)))|~(ssItem(X30))))&((ssItem(esk56_0)|(((~(ssList(X32))|~(app(app(cons(X30,nil),cons(X31,nil)),X32)=esk51_0))|~(ssItem(X31)))|~(ssItem(X30))))&((ssList(esk57_0)|(((~(ssList(X32))|~(app(app(cons(X30,nil),cons(X31,nil)),X32)=esk51_0))|~(ssItem(X31)))|~(ssItem(X30))))&((app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk51_0|(((~(ssList(X32))|~(app(app(cons(X30,nil),cons(X31,nil)),X32)=esk51_0))|~(ssItem(X31)))|~(ssItem(X30))))&(app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk50_0|(((~(ssList(X32))|~(app(app(cons(X30,nil),cons(X31,nil)),X32)=esk51_0))|~(ssItem(X31)))|~(ssItem(X30)))))))))&((((((((~(ssList(X23))|~(app(app(cons(X21,nil),cons(X22,nil)),X23)=esk49_0))|~(app(app(cons(X22,nil),cons(X21,nil)),X23)=esk48_0))|~(ssItem(X22)))|~(ssItem(X21)))|ssItem(esk58_0))&((ssItem(esk52_0)|ssItem(esk58_0))&((ssItem(esk53_0)|ssItem(esk58_0))&((ssList(esk54_0)|ssItem(esk58_0))&(app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|ssItem(esk58_0))))))&((ssItem(esk55_0)|ssItem(esk58_0))&((ssItem(esk56_0)|ssItem(esk58_0))&((ssList(esk57_0)|ssItem(esk58_0))&((app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk51_0|ssItem(esk58_0))&(app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk50_0|ssItem(esk58_0)))))))&((((((((~(ssList(X23))|~(app(app(cons(X21,nil),cons(X22,nil)),X23)=esk49_0))|~(app(app(cons(X22,nil),cons(X21,nil)),X23)=esk48_0))|~(ssItem(X22)))|~(ssItem(X21)))|ssItem(esk59_0))&((ssItem(esk52_0)|ssItem(esk59_0))&((ssItem(esk53_0)|ssItem(esk59_0))&((ssList(esk54_0)|ssItem(esk59_0))&(app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|ssItem(esk59_0))))))&((ssItem(esk55_0)|ssItem(esk59_0))&((ssItem(esk56_0)|ssItem(esk59_0))&((ssList(esk57_0)|ssItem(esk59_0))&((app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk51_0|ssItem(esk59_0))&(app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk50_0|ssItem(esk59_0)))))))&((((((((~(ssList(X23))|~(app(app(cons(X21,nil),cons(X22,nil)),X23)=esk49_0))|~(app(app(cons(X22,nil),cons(X21,nil)),X23)=esk48_0))|~(ssItem(X22)))|~(ssItem(X21)))|ssList(esk60_0))&((ssItem(esk52_0)|ssList(esk60_0))&((ssItem(esk53_0)|ssList(esk60_0))&((ssList(esk54_0)|ssList(esk60_0))&(app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|ssList(esk60_0))))))&((ssItem(esk55_0)|ssList(esk60_0))&((ssItem(esk56_0)|ssList(esk60_0))&((ssList(esk57_0)|ssList(esk60_0))&((app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk51_0|ssList(esk60_0))&(app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk50_0|ssList(esk60_0)))))))&(((((((~(ssList(X23))|~(app(app(cons(X21,nil),cons(X22,nil)),X23)=esk49_0))|~(app(app(cons(X22,nil),cons(X21,nil)),X23)=esk48_0))|~(ssItem(X22)))|~(ssItem(X21)))|app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0)&((ssItem(esk52_0)|app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0)&((ssItem(esk53_0)|app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0)&((ssList(esk54_0)|app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0)&(app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0)=esk49_0|app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0)))))&((ssItem(esk55_0)|app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0)&((ssItem(esk56_0)|app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0)&((ssList(esk57_0)|app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0)&((app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk51_0|app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0)&(app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk50_0|app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0))))))))))&(esk49_0=esk51_0&esk48_0=esk50_0))&ssList(esk51_0))&ssList(esk50_0))&ssList(esk49_0))&ssList(esk48_0)),inference(distribute,[status(thm)],[570])).
% cnf(576,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(577,negated_conjecture,(esk49_0=esk51_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(578,negated_conjecture,(app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0|app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(579,negated_conjecture,(app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk51_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(580,negated_conjecture,(app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0|ssList(esk57_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(581,negated_conjecture,(app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0|ssItem(esk56_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(582,negated_conjecture,(app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0|ssItem(esk55_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(587,negated_conjecture,(app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0|~ssItem(X1)|~ssItem(X2)|app(app(cons(X2,nil),cons(X1,nil)),X3)!=esk48_0|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk49_0|~ssList(X3)),inference(split_conjunct,[status(thm)],[571])).
% cnf(588,negated_conjecture,(ssList(esk60_0)|app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(589,negated_conjecture,(ssList(esk60_0)|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk51_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(590,negated_conjecture,(ssList(esk60_0)|ssList(esk57_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(591,negated_conjecture,(ssList(esk60_0)|ssItem(esk56_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(592,negated_conjecture,(ssList(esk60_0)|ssItem(esk55_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(597,negated_conjecture,(ssList(esk60_0)|~ssItem(X1)|~ssItem(X2)|app(app(cons(X2,nil),cons(X1,nil)),X3)!=esk48_0|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk49_0|~ssList(X3)),inference(split_conjunct,[status(thm)],[571])).
% cnf(598,negated_conjecture,(ssItem(esk59_0)|app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(599,negated_conjecture,(ssItem(esk59_0)|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk51_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(600,negated_conjecture,(ssItem(esk59_0)|ssList(esk57_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(601,negated_conjecture,(ssItem(esk59_0)|ssItem(esk56_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(602,negated_conjecture,(ssItem(esk59_0)|ssItem(esk55_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(607,negated_conjecture,(ssItem(esk59_0)|~ssItem(X1)|~ssItem(X2)|app(app(cons(X2,nil),cons(X1,nil)),X3)!=esk48_0|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk49_0|~ssList(X3)),inference(split_conjunct,[status(thm)],[571])).
% cnf(608,negated_conjecture,(ssItem(esk58_0)|app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk50_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(609,negated_conjecture,(ssItem(esk58_0)|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk51_0),inference(split_conjunct,[status(thm)],[571])).
% cnf(610,negated_conjecture,(ssItem(esk58_0)|ssList(esk57_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(611,negated_conjecture,(ssItem(esk58_0)|ssItem(esk56_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(612,negated_conjecture,(ssItem(esk58_0)|ssItem(esk55_0)),inference(split_conjunct,[status(thm)],[571])).
% cnf(617,negated_conjecture,(ssItem(esk58_0)|~ssItem(X1)|~ssItem(X2)|app(app(cons(X2,nil),cons(X1,nil)),X3)!=esk48_0|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk49_0|~ssList(X3)),inference(split_conjunct,[status(thm)],[571])).
% cnf(618,negated_conjecture,(app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk50_0|~ssItem(X1)|~ssItem(X2)|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk51_0|~ssList(X3)),inference(split_conjunct,[status(thm)],[571])).
% cnf(619,negated_conjecture,(app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk51_0|~ssItem(X1)|~ssItem(X2)|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk51_0|~ssList(X3)),inference(split_conjunct,[status(thm)],[571])).
% cnf(620,negated_conjecture,(ssList(esk57_0)|~ssItem(X1)|~ssItem(X2)|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk51_0|~ssList(X3)),inference(split_conjunct,[status(thm)],[571])).
% cnf(621,negated_conjecture,(ssItem(esk56_0)|~ssItem(X1)|~ssItem(X2)|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk51_0|~ssList(X3)),inference(split_conjunct,[status(thm)],[571])).
% cnf(622,negated_conjecture,(ssItem(esk55_0)|~ssItem(X1)|~ssItem(X2)|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk51_0|~ssList(X3)),inference(split_conjunct,[status(thm)],[571])).
% cnf(627,negated_conjecture,(~ssItem(X1)|~ssItem(X2)|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk51_0|~ssList(X3)|~ssItem(X4)|~ssItem(X5)|app(app(cons(X5,nil),cons(X4,nil)),X6)!=esk48_0|app(app(cons(X4,nil),cons(X5,nil)),X6)!=esk49_0|~ssList(X6)),inference(split_conjunct,[status(thm)],[571])).
% cnf(630,negated_conjecture,(app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk49_0|ssItem(esk58_0)),inference(rw,[status(thm)],[609,577,theory(equality)])).
% cnf(631,negated_conjecture,(app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk49_0|ssItem(esk59_0)),inference(rw,[status(thm)],[599,577,theory(equality)])).
% cnf(632,negated_conjecture,(app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk49_0|ssList(esk60_0)),inference(rw,[status(thm)],[589,577,theory(equality)])).
% cnf(633,negated_conjecture,(app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk48_0|ssItem(esk58_0)),inference(rw,[status(thm)],[608,576,theory(equality)])).
% cnf(634,negated_conjecture,(app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk48_0|ssItem(esk59_0)),inference(rw,[status(thm)],[598,576,theory(equality)])).
% cnf(635,negated_conjecture,(app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk48_0|ssList(esk60_0)),inference(rw,[status(thm)],[588,576,theory(equality)])).
% cnf(636,negated_conjecture,(app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk49_0|app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0),inference(rw,[status(thm)],[579,577,theory(equality)])).
% cnf(637,negated_conjecture,(app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk48_0|app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0),inference(rw,[status(thm)],[578,576,theory(equality)])).
% cnf(782,negated_conjecture,(ssItem(esk55_0)|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk49_0|~ssItem(X2)|~ssItem(X1)|~ssList(X3)),inference(rw,[status(thm)],[622,577,theory(equality)])).
% cnf(786,negated_conjecture,(ssItem(esk55_0)|~ssList(esk60_0)|~ssItem(esk59_0)|~ssItem(esk58_0)),inference(spm,[status(thm)],[782,582,theory(equality)])).
% cnf(804,negated_conjecture,(ssItem(esk56_0)|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk49_0|~ssItem(X2)|~ssItem(X1)|~ssList(X3)),inference(rw,[status(thm)],[621,577,theory(equality)])).
% cnf(809,negated_conjecture,(ssItem(esk56_0)|~ssList(esk60_0)|~ssItem(esk59_0)|~ssItem(esk58_0)),inference(spm,[status(thm)],[804,581,theory(equality)])).
% cnf(848,negated_conjecture,(ssList(esk57_0)|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk49_0|~ssItem(X2)|~ssItem(X1)|~ssList(X3)),inference(rw,[status(thm)],[620,577,theory(equality)])).
% cnf(855,negated_conjecture,(ssList(esk57_0)|~ssList(esk60_0)|~ssItem(esk59_0)|~ssItem(esk58_0)),inference(spm,[status(thm)],[848,580,theory(equality)])).
% cnf(941,negated_conjecture,(app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk49_0|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk51_0|~ssItem(X2)|~ssItem(X1)|~ssList(X3)),inference(rw,[status(thm)],[619,577,theory(equality)])).
% cnf(942,negated_conjecture,(app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk49_0|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk49_0|~ssItem(X2)|~ssItem(X1)|~ssList(X3)),inference(rw,[status(thm)],[941,577,theory(equality)])).
% cnf(966,negated_conjecture,(app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk48_0|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk51_0|~ssItem(X2)|~ssItem(X1)|~ssList(X3)),inference(rw,[status(thm)],[618,576,theory(equality)])).
% cnf(967,negated_conjecture,(app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk48_0|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk49_0|~ssItem(X2)|~ssItem(X1)|~ssList(X3)),inference(rw,[status(thm)],[966,577,theory(equality)])).
% cnf(1227,negated_conjecture,(ssItem(esk58_0)|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)!=esk49_0|~ssList(esk57_0)|~ssItem(esk56_0)|~ssItem(esk55_0)),inference(spm,[status(thm)],[617,633,theory(equality)])).
% cnf(1252,negated_conjecture,(ssItem(esk59_0)|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)!=esk49_0|~ssList(esk57_0)|~ssItem(esk56_0)|~ssItem(esk55_0)),inference(spm,[status(thm)],[607,634,theory(equality)])).
% cnf(1277,negated_conjecture,(ssList(esk60_0)|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)!=esk49_0|~ssList(esk57_0)|~ssItem(esk56_0)|~ssItem(esk55_0)),inference(spm,[status(thm)],[597,635,theory(equality)])).
% cnf(1358,negated_conjecture,(app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)!=esk49_0|~ssList(esk57_0)|~ssItem(esk56_0)|~ssItem(esk55_0)),inference(spm,[status(thm)],[587,637,theory(equality)])).
% cnf(1786,negated_conjecture,(app(app(cons(X5,nil),cons(X4,nil)),X6)!=esk48_0|app(app(cons(X4,nil),cons(X5,nil)),X6)!=esk49_0|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk49_0|~ssItem(X5)|~ssItem(X4)|~ssItem(X2)|~ssItem(X1)|~ssList(X6)|~ssList(X3)),inference(rw,[status(thm)],[627,577,theory(equality)])).
% fof(1787, plain,(~(epred1_0)<=>![X4]:![X6]:![X5]:((((~(app(app(cons(X4,nil),cons(X5,nil)),X6)=esk49_0)|~(app(app(cons(X5,nil),cons(X4,nil)),X6)=esk48_0))|~(ssList(X6)))|~(ssItem(X4)))|~(ssItem(X5)))),introduced(definition),['split']).
% cnf(1788,plain,(epred1_0|~ssItem(X4)|~ssItem(X5)|~ssList(X6)|app(app(cons(X4,nil),cons(X5,nil)),X6)!=esk49_0|app(app(cons(X5,nil),cons(X4,nil)),X6)!=esk48_0),inference(split_equiv,[status(thm)],[1787])).
% fof(1789, plain,(~(epred2_0)<=>![X1]:![X3]:![X2]:(((~(app(app(cons(X1,nil),cons(X2,nil)),X3)=esk49_0)|~(ssList(X3)))|~(ssItem(X1)))|~(ssItem(X2)))),introduced(definition),['split']).
% cnf(1790,plain,(epred2_0|~ssItem(X1)|~ssItem(X2)|~ssList(X3)|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk49_0),inference(split_equiv,[status(thm)],[1789])).
% cnf(1791,negated_conjecture,(~epred2_0|~epred1_0),inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[1786,1787,theory(equality)]),1789,theory(equality)]),['split']).
% cnf(2111,negated_conjecture,(ssList(esk57_0)|~ssList(esk60_0)|~ssItem(esk59_0)),inference(csr,[status(thm)],[855,610])).
% cnf(2112,negated_conjecture,(ssList(esk57_0)|~ssList(esk60_0)),inference(csr,[status(thm)],[2111,600])).
% cnf(2113,negated_conjecture,(ssList(esk57_0)),inference(csr,[status(thm)],[2112,590])).
% cnf(2128,negated_conjecture,(ssItem(esk55_0)|~ssList(esk60_0)|~ssItem(esk59_0)),inference(csr,[status(thm)],[786,612])).
% cnf(2129,negated_conjecture,(ssItem(esk55_0)|~ssList(esk60_0)),inference(csr,[status(thm)],[2128,602])).
% cnf(2130,negated_conjecture,(ssItem(esk55_0)),inference(csr,[status(thm)],[2129,592])).
% cnf(2133,negated_conjecture,(ssItem(esk56_0)|~ssList(esk60_0)|~ssItem(esk59_0)),inference(csr,[status(thm)],[809,611])).
% cnf(2134,negated_conjecture,(ssItem(esk56_0)|~ssList(esk60_0)),inference(csr,[status(thm)],[2133,601])).
% cnf(2135,negated_conjecture,(ssItem(esk56_0)),inference(csr,[status(thm)],[2134,591])).
% cnf(2334,negated_conjecture,(ssItem(esk58_0)|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)!=esk49_0|$false|~ssItem(esk56_0)|~ssItem(esk55_0)),inference(rw,[status(thm)],[1227,2113,theory(equality)])).
% cnf(2335,negated_conjecture,(ssItem(esk58_0)|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)!=esk49_0|$false|$false|~ssItem(esk55_0)),inference(rw,[status(thm)],[2334,2135,theory(equality)])).
% cnf(2336,negated_conjecture,(ssItem(esk58_0)|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)!=esk49_0|$false|$false|$false),inference(rw,[status(thm)],[2335,2130,theory(equality)])).
% cnf(2337,negated_conjecture,(ssItem(esk58_0)|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)!=esk49_0),inference(cn,[status(thm)],[2336,theory(equality)])).
% cnf(2338,negated_conjecture,(ssItem(esk58_0)),inference(csr,[status(thm)],[2337,630])).
% cnf(2346,negated_conjecture,(ssItem(esk59_0)|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)!=esk49_0|$false|~ssItem(esk56_0)|~ssItem(esk55_0)),inference(rw,[status(thm)],[1252,2113,theory(equality)])).
% cnf(2347,negated_conjecture,(ssItem(esk59_0)|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)!=esk49_0|$false|$false|~ssItem(esk55_0)),inference(rw,[status(thm)],[2346,2135,theory(equality)])).
% cnf(2348,negated_conjecture,(ssItem(esk59_0)|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)!=esk49_0|$false|$false|$false),inference(rw,[status(thm)],[2347,2130,theory(equality)])).
% cnf(2349,negated_conjecture,(ssItem(esk59_0)|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)!=esk49_0),inference(cn,[status(thm)],[2348,theory(equality)])).
% cnf(2350,negated_conjecture,(ssItem(esk59_0)),inference(csr,[status(thm)],[2349,631])).
% cnf(2358,negated_conjecture,(ssList(esk60_0)|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)!=esk49_0|$false|~ssItem(esk56_0)|~ssItem(esk55_0)),inference(rw,[status(thm)],[1277,2113,theory(equality)])).
% cnf(2359,negated_conjecture,(ssList(esk60_0)|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)!=esk49_0|$false|$false|~ssItem(esk55_0)),inference(rw,[status(thm)],[2358,2135,theory(equality)])).
% cnf(2360,negated_conjecture,(ssList(esk60_0)|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)!=esk49_0|$false|$false|$false),inference(rw,[status(thm)],[2359,2130,theory(equality)])).
% cnf(2361,negated_conjecture,(ssList(esk60_0)|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)!=esk49_0),inference(cn,[status(thm)],[2360,theory(equality)])).
% cnf(2362,negated_conjecture,(ssList(esk60_0)),inference(csr,[status(thm)],[2361,632])).
% cnf(2370,negated_conjecture,(app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)!=esk49_0|$false|~ssItem(esk56_0)|~ssItem(esk55_0)),inference(rw,[status(thm)],[1358,2113,theory(equality)])).
% cnf(2371,negated_conjecture,(app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)!=esk49_0|$false|$false|~ssItem(esk55_0)),inference(rw,[status(thm)],[2370,2135,theory(equality)])).
% cnf(2372,negated_conjecture,(app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)!=esk49_0|$false|$false|$false),inference(rw,[status(thm)],[2371,2130,theory(equality)])).
% cnf(2373,negated_conjecture,(app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0|app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)!=esk49_0),inference(cn,[status(thm)],[2372,theory(equality)])).
% cnf(2374,negated_conjecture,(app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0)=esk49_0),inference(csr,[status(thm)],[2373,636])).
% cnf(2392,negated_conjecture,(app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk49_0|~ssList(esk60_0)|~ssItem(esk59_0)|~ssItem(esk58_0)),inference(spm,[status(thm)],[942,2374,theory(equality)])).
% cnf(2393,negated_conjecture,(app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk48_0|~ssList(esk60_0)|~ssItem(esk59_0)|~ssItem(esk58_0)),inference(spm,[status(thm)],[967,2374,theory(equality)])).
% cnf(2395,negated_conjecture,(app(cons(esk58_0,cons(esk59_0,nil)),esk60_0)=esk49_0|~ssList(cons(esk59_0,nil))|~ssItem(esk58_0)),inference(spm,[status(thm)],[2374,156,theory(equality)])).
% cnf(2437,negated_conjecture,(app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk49_0|$false|~ssItem(esk59_0)|~ssItem(esk58_0)),inference(rw,[status(thm)],[2392,2362,theory(equality)])).
% cnf(2438,negated_conjecture,(app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk49_0|$false|$false|~ssItem(esk58_0)),inference(rw,[status(thm)],[2437,2350,theory(equality)])).
% cnf(2439,negated_conjecture,(app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk49_0|$false|$false|$false),inference(rw,[status(thm)],[2438,2338,theory(equality)])).
% cnf(2440,negated_conjecture,(app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0)=esk49_0),inference(cn,[status(thm)],[2439,theory(equality)])).
% cnf(2441,negated_conjecture,(app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk48_0|$false|~ssItem(esk59_0)|~ssItem(esk58_0)),inference(rw,[status(thm)],[2393,2362,theory(equality)])).
% cnf(2442,negated_conjecture,(app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk48_0|$false|$false|~ssItem(esk58_0)),inference(rw,[status(thm)],[2441,2350,theory(equality)])).
% cnf(2443,negated_conjecture,(app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk48_0|$false|$false|$false),inference(rw,[status(thm)],[2442,2338,theory(equality)])).
% cnf(2444,negated_conjecture,(app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0)=esk48_0),inference(cn,[status(thm)],[2443,theory(equality)])).
% cnf(2448,negated_conjecture,(app(cons(esk58_0,cons(esk59_0,nil)),esk60_0)=esk49_0|~ssList(cons(esk59_0,nil))|$false),inference(rw,[status(thm)],[2395,2338,theory(equality)])).
% cnf(2449,negated_conjecture,(app(cons(esk58_0,cons(esk59_0,nil)),esk60_0)=esk49_0|~ssList(cons(esk59_0,nil))),inference(cn,[status(thm)],[2448,theory(equality)])).
% cnf(2534,negated_conjecture,(app(cons(esk55_0,app(nil,cons(esk56_0,nil))),esk57_0)=esk49_0|~ssList(nil)|~ssList(cons(esk56_0,nil))|~ssItem(esk55_0)),inference(spm,[status(thm)],[2440,141,theory(equality)])).
% cnf(2535,negated_conjecture,(app(cons(esk55_0,cons(esk56_0,nil)),esk57_0)=esk49_0|~ssList(cons(esk56_0,nil))|~ssItem(esk55_0)),inference(spm,[status(thm)],[2440,156,theory(equality)])).
% cnf(2574,negated_conjecture,(app(cons(esk55_0,app(nil,cons(esk56_0,nil))),esk57_0)=esk49_0|$false|~ssList(cons(esk56_0,nil))|~ssItem(esk55_0)),inference(rw,[status(thm)],[2534,112,theory(equality)])).
% cnf(2575,negated_conjecture,(app(cons(esk55_0,app(nil,cons(esk56_0,nil))),esk57_0)=esk49_0|$false|~ssList(cons(esk56_0,nil))|$false),inference(rw,[status(thm)],[2574,2130,theory(equality)])).
% cnf(2576,negated_conjecture,(app(cons(esk55_0,app(nil,cons(esk56_0,nil))),esk57_0)=esk49_0|~ssList(cons(esk56_0,nil))),inference(cn,[status(thm)],[2575,theory(equality)])).
% cnf(2577,negated_conjecture,(app(cons(esk55_0,cons(esk56_0,nil)),esk57_0)=esk49_0|~ssList(cons(esk56_0,nil))|$false),inference(rw,[status(thm)],[2535,2130,theory(equality)])).
% cnf(2578,negated_conjecture,(app(cons(esk55_0,cons(esk56_0,nil)),esk57_0)=esk49_0|~ssList(cons(esk56_0,nil))),inference(cn,[status(thm)],[2577,theory(equality)])).
% cnf(2636,negated_conjecture,(app(cons(esk58_0,cons(esk59_0,nil)),esk60_0)=esk49_0|~ssList(nil)|~ssItem(esk59_0)),inference(spm,[status(thm)],[2449,111,theory(equality)])).
% cnf(2637,negated_conjecture,(app(cons(esk58_0,cons(esk59_0,nil)),esk60_0)=esk49_0|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[2636,112,theory(equality)])).
% cnf(2638,negated_conjecture,(app(cons(esk58_0,cons(esk59_0,nil)),esk60_0)=esk49_0|$false|$false),inference(rw,[status(thm)],[2637,2350,theory(equality)])).
% cnf(2639,negated_conjecture,(app(cons(esk58_0,cons(esk59_0,nil)),esk60_0)=esk49_0),inference(cn,[status(thm)],[2638,theory(equality)])).
% cnf(2654,negated_conjecture,(esk49_0=cons(esk58_0,app(cons(esk59_0,nil),esk60_0))|~ssList(cons(esk59_0,nil))|~ssList(esk60_0)|~ssItem(esk58_0)),inference(spm,[status(thm)],[141,2639,theory(equality)])).
% cnf(2685,negated_conjecture,(esk49_0=cons(esk58_0,app(cons(esk59_0,nil),esk60_0))|~ssList(cons(esk59_0,nil))|$false|~ssItem(esk58_0)),inference(rw,[status(thm)],[2654,2362,theory(equality)])).
% cnf(2686,negated_conjecture,(esk49_0=cons(esk58_0,app(cons(esk59_0,nil),esk60_0))|~ssList(cons(esk59_0,nil))|$false|$false),inference(rw,[status(thm)],[2685,2338,theory(equality)])).
% cnf(2687,negated_conjecture,(esk49_0=cons(esk58_0,app(cons(esk59_0,nil),esk60_0))|~ssList(cons(esk59_0,nil))),inference(cn,[status(thm)],[2686,theory(equality)])).
% cnf(2740,negated_conjecture,(app(cons(esk55_0,cons(esk56_0,nil)),esk57_0)=esk49_0|~ssList(nil)|~ssItem(esk56_0)),inference(spm,[status(thm)],[2578,111,theory(equality)])).
% cnf(2741,negated_conjecture,(app(cons(esk55_0,cons(esk56_0,nil)),esk57_0)=esk49_0|$false|~ssItem(esk56_0)),inference(rw,[status(thm)],[2740,112,theory(equality)])).
% cnf(2742,negated_conjecture,(app(cons(esk55_0,cons(esk56_0,nil)),esk57_0)=esk49_0|$false|$false),inference(rw,[status(thm)],[2741,2135,theory(equality)])).
% cnf(2743,negated_conjecture,(app(cons(esk55_0,cons(esk56_0,nil)),esk57_0)=esk49_0),inference(cn,[status(thm)],[2742,theory(equality)])).
% cnf(2758,negated_conjecture,(esk49_0=cons(esk55_0,app(cons(esk56_0,nil),esk57_0))|~ssList(cons(esk56_0,nil))|~ssList(esk57_0)|~ssItem(esk55_0)),inference(spm,[status(thm)],[141,2743,theory(equality)])).
% cnf(2789,negated_conjecture,(esk49_0=cons(esk55_0,app(cons(esk56_0,nil),esk57_0))|~ssList(cons(esk56_0,nil))|$false|~ssItem(esk55_0)),inference(rw,[status(thm)],[2758,2113,theory(equality)])).
% cnf(2790,negated_conjecture,(esk49_0=cons(esk55_0,app(cons(esk56_0,nil),esk57_0))|~ssList(cons(esk56_0,nil))|$false|$false),inference(rw,[status(thm)],[2789,2130,theory(equality)])).
% cnf(2791,negated_conjecture,(esk49_0=cons(esk55_0,app(cons(esk56_0,nil),esk57_0))|~ssList(cons(esk56_0,nil))),inference(cn,[status(thm)],[2790,theory(equality)])).
% cnf(2844,negated_conjecture,(cons(esk58_0,app(cons(esk59_0,nil),esk60_0))=esk49_0|~ssList(nil)|~ssItem(esk59_0)),inference(spm,[status(thm)],[2687,111,theory(equality)])).
% cnf(2845,negated_conjecture,(cons(esk58_0,app(cons(esk59_0,nil),esk60_0))=esk49_0|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[2844,112,theory(equality)])).
% cnf(2846,negated_conjecture,(cons(esk58_0,app(cons(esk59_0,nil),esk60_0))=esk49_0|$false|$false),inference(rw,[status(thm)],[2845,2350,theory(equality)])).
% cnf(2847,negated_conjecture,(cons(esk58_0,app(cons(esk59_0,nil),esk60_0))=esk49_0),inference(cn,[status(thm)],[2846,theory(equality)])).
% cnf(2880,negated_conjecture,(cons(esk58_0,cons(esk59_0,esk60_0))=esk49_0|~ssList(esk60_0)|~ssItem(esk59_0)),inference(spm,[status(thm)],[2847,156,theory(equality)])).
% cnf(2949,negated_conjecture,(cons(esk58_0,cons(esk59_0,esk60_0))=esk49_0|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[2880,2362,theory(equality)])).
% cnf(2950,negated_conjecture,(cons(esk58_0,cons(esk59_0,esk60_0))=esk49_0|$false|$false),inference(rw,[status(thm)],[2949,2350,theory(equality)])).
% cnf(2951,negated_conjecture,(cons(esk58_0,cons(esk59_0,esk60_0))=esk49_0),inference(cn,[status(thm)],[2950,theory(equality)])).
% cnf(2959,negated_conjecture,(hd(esk49_0)=esk58_0|~ssList(cons(esk59_0,esk60_0))|~ssItem(esk58_0)),inference(spm,[status(thm)],[224,2951,theory(equality)])).
% cnf(2960,negated_conjecture,(tl(esk49_0)=cons(esk59_0,esk60_0)|~ssList(cons(esk59_0,esk60_0))|~ssItem(esk58_0)),inference(spm,[status(thm)],[228,2951,theory(equality)])).
% cnf(2999,negated_conjecture,(hd(esk49_0)=esk58_0|~ssList(cons(esk59_0,esk60_0))|$false),inference(rw,[status(thm)],[2959,2338,theory(equality)])).
% cnf(3000,negated_conjecture,(hd(esk49_0)=esk58_0|~ssList(cons(esk59_0,esk60_0))),inference(cn,[status(thm)],[2999,theory(equality)])).
% cnf(3001,negated_conjecture,(tl(esk49_0)=cons(esk59_0,esk60_0)|~ssList(cons(esk59_0,esk60_0))|$false),inference(rw,[status(thm)],[2960,2338,theory(equality)])).
% cnf(3002,negated_conjecture,(tl(esk49_0)=cons(esk59_0,esk60_0)|~ssList(cons(esk59_0,esk60_0))),inference(cn,[status(thm)],[3001,theory(equality)])).
% cnf(3490,negated_conjecture,(cons(esk55_0,app(cons(esk56_0,nil),esk57_0))=esk49_0|~ssList(nil)|~ssItem(esk56_0)),inference(spm,[status(thm)],[2791,111,theory(equality)])).
% cnf(3491,negated_conjecture,(cons(esk55_0,app(cons(esk56_0,nil),esk57_0))=esk49_0|$false|~ssItem(esk56_0)),inference(rw,[status(thm)],[3490,112,theory(equality)])).
% cnf(3492,negated_conjecture,(cons(esk55_0,app(cons(esk56_0,nil),esk57_0))=esk49_0|$false|$false),inference(rw,[status(thm)],[3491,2135,theory(equality)])).
% cnf(3493,negated_conjecture,(cons(esk55_0,app(cons(esk56_0,nil),esk57_0))=esk49_0),inference(cn,[status(thm)],[3492,theory(equality)])).
% cnf(3526,negated_conjecture,(cons(esk55_0,cons(esk56_0,esk57_0))=esk49_0|~ssList(esk57_0)|~ssItem(esk56_0)),inference(spm,[status(thm)],[3493,156,theory(equality)])).
% cnf(3595,negated_conjecture,(cons(esk55_0,cons(esk56_0,esk57_0))=esk49_0|$false|~ssItem(esk56_0)),inference(rw,[status(thm)],[3526,2113,theory(equality)])).
% cnf(3596,negated_conjecture,(cons(esk55_0,cons(esk56_0,esk57_0))=esk49_0|$false|$false),inference(rw,[status(thm)],[3595,2135,theory(equality)])).
% cnf(3597,negated_conjecture,(cons(esk55_0,cons(esk56_0,esk57_0))=esk49_0),inference(cn,[status(thm)],[3596,theory(equality)])).
% cnf(4250,negated_conjecture,(app(cons(esk55_0,app(nil,cons(esk56_0,nil))),esk57_0)=esk49_0|~ssList(nil)|~ssItem(esk56_0)),inference(spm,[status(thm)],[2576,111,theory(equality)])).
% cnf(4251,negated_conjecture,(app(cons(esk55_0,app(nil,cons(esk56_0,nil))),esk57_0)=esk49_0|$false|~ssItem(esk56_0)),inference(rw,[status(thm)],[4250,112,theory(equality)])).
% cnf(4252,negated_conjecture,(app(cons(esk55_0,app(nil,cons(esk56_0,nil))),esk57_0)=esk49_0|$false|$false),inference(rw,[status(thm)],[4251,2135,theory(equality)])).
% cnf(4253,negated_conjecture,(app(cons(esk55_0,app(nil,cons(esk56_0,nil))),esk57_0)=esk49_0),inference(cn,[status(thm)],[4252,theory(equality)])).
% cnf(4268,negated_conjecture,(esk49_0=cons(esk55_0,app(app(nil,cons(esk56_0,nil)),esk57_0))|~ssList(app(nil,cons(esk56_0,nil)))|~ssList(esk57_0)|~ssItem(esk55_0)),inference(spm,[status(thm)],[141,4253,theory(equality)])).
% cnf(4300,negated_conjecture,(esk49_0=cons(esk55_0,app(app(nil,cons(esk56_0,nil)),esk57_0))|~ssList(app(nil,cons(esk56_0,nil)))|$false|~ssItem(esk55_0)),inference(rw,[status(thm)],[4268,2113,theory(equality)])).
% cnf(4301,negated_conjecture,(esk49_0=cons(esk55_0,app(app(nil,cons(esk56_0,nil)),esk57_0))|~ssList(app(nil,cons(esk56_0,nil)))|$false|$false),inference(rw,[status(thm)],[4300,2130,theory(equality)])).
% cnf(4302,negated_conjecture,(esk49_0=cons(esk55_0,app(app(nil,cons(esk56_0,nil)),esk57_0))|~ssList(app(nil,cons(esk56_0,nil)))),inference(cn,[status(thm)],[4301,theory(equality)])).
% cnf(5248,negated_conjecture,(cons(esk55_0,app(app(nil,cons(esk56_0,nil)),esk57_0))=esk49_0|~ssList(cons(esk56_0,nil))|~ssList(nil)),inference(spm,[status(thm)],[4302,137,theory(equality)])).
% cnf(5250,negated_conjecture,(cons(esk55_0,app(app(nil,cons(esk56_0,nil)),esk57_0))=esk49_0|~ssList(cons(esk56_0,nil))|$false),inference(rw,[status(thm)],[5248,112,theory(equality)])).
% cnf(5251,negated_conjecture,(cons(esk55_0,app(app(nil,cons(esk56_0,nil)),esk57_0))=esk49_0|~ssList(cons(esk56_0,nil))),inference(cn,[status(thm)],[5250,theory(equality)])).
% cnf(5252,negated_conjecture,(cons(esk55_0,app(app(nil,cons(esk56_0,nil)),esk57_0))=esk49_0|~ssList(nil)|~ssItem(esk56_0)),inference(spm,[status(thm)],[5251,111,theory(equality)])).
% cnf(5253,negated_conjecture,(cons(esk55_0,app(app(nil,cons(esk56_0,nil)),esk57_0))=esk49_0|$false|~ssItem(esk56_0)),inference(rw,[status(thm)],[5252,112,theory(equality)])).
% cnf(5254,negated_conjecture,(cons(esk55_0,app(app(nil,cons(esk56_0,nil)),esk57_0))=esk49_0|$false|$false),inference(rw,[status(thm)],[5253,2135,theory(equality)])).
% cnf(5255,negated_conjecture,(cons(esk55_0,app(app(nil,cons(esk56_0,nil)),esk57_0))=esk49_0),inference(cn,[status(thm)],[5254,theory(equality)])).
% cnf(5288,negated_conjecture,(cons(esk55_0,app(nil,app(cons(esk56_0,nil),esk57_0)))=esk49_0|~ssList(esk57_0)|~ssList(cons(esk56_0,nil))|~ssList(nil)),inference(spm,[status(thm)],[5255,160,theory(equality)])).
% cnf(5355,negated_conjecture,(cons(esk55_0,app(nil,app(cons(esk56_0,nil),esk57_0)))=esk49_0|$false|~ssList(cons(esk56_0,nil))|~ssList(nil)),inference(rw,[status(thm)],[5288,2113,theory(equality)])).
% cnf(5356,negated_conjecture,(cons(esk55_0,app(nil,app(cons(esk56_0,nil),esk57_0)))=esk49_0|$false|~ssList(cons(esk56_0,nil))|$false),inference(rw,[status(thm)],[5355,112,theory(equality)])).
% cnf(5357,negated_conjecture,(cons(esk55_0,app(nil,app(cons(esk56_0,nil),esk57_0)))=esk49_0|~ssList(cons(esk56_0,nil))),inference(cn,[status(thm)],[5356,theory(equality)])).
% cnf(5384,negated_conjecture,(cons(esk55_0,app(nil,app(cons(esk56_0,nil),esk57_0)))=esk49_0|~ssList(nil)|~ssItem(esk56_0)),inference(spm,[status(thm)],[5357,111,theory(equality)])).
% cnf(5385,negated_conjecture,(cons(esk55_0,app(nil,app(cons(esk56_0,nil),esk57_0)))=esk49_0|$false|~ssItem(esk56_0)),inference(rw,[status(thm)],[5384,112,theory(equality)])).
% cnf(5386,negated_conjecture,(cons(esk55_0,app(nil,app(cons(esk56_0,nil),esk57_0)))=esk49_0|$false|$false),inference(rw,[status(thm)],[5385,2135,theory(equality)])).
% cnf(5387,negated_conjecture,(cons(esk55_0,app(nil,app(cons(esk56_0,nil),esk57_0)))=esk49_0),inference(cn,[status(thm)],[5386,theory(equality)])).
% cnf(5419,negated_conjecture,(cons(esk55_0,app(nil,cons(esk56_0,app(nil,esk57_0))))=esk49_0|~ssList(nil)|~ssList(esk57_0)|~ssItem(esk56_0)),inference(spm,[status(thm)],[5387,141,theory(equality)])).
% cnf(5486,negated_conjecture,(cons(esk55_0,app(nil,cons(esk56_0,app(nil,esk57_0))))=esk49_0|$false|~ssList(esk57_0)|~ssItem(esk56_0)),inference(rw,[status(thm)],[5419,112,theory(equality)])).
% cnf(5487,negated_conjecture,(cons(esk55_0,app(nil,cons(esk56_0,app(nil,esk57_0))))=esk49_0|$false|$false|~ssItem(esk56_0)),inference(rw,[status(thm)],[5486,2113,theory(equality)])).
% cnf(5488,negated_conjecture,(cons(esk55_0,app(nil,cons(esk56_0,app(nil,esk57_0))))=esk49_0|$false|$false|$false),inference(rw,[status(thm)],[5487,2135,theory(equality)])).
% cnf(5489,negated_conjecture,(cons(esk55_0,app(nil,cons(esk56_0,app(nil,esk57_0))))=esk49_0),inference(cn,[status(thm)],[5488,theory(equality)])).
% cnf(5597,negated_conjecture,(hd(esk49_0)=esk55_0|~ssList(app(nil,cons(esk56_0,app(nil,esk57_0))))|~ssItem(esk55_0)),inference(spm,[status(thm)],[224,5489,theory(equality)])).
% cnf(5638,negated_conjecture,(hd(esk49_0)=esk55_0|~ssList(app(nil,cons(esk56_0,app(nil,esk57_0))))|$false),inference(rw,[status(thm)],[5597,2130,theory(equality)])).
% cnf(5639,negated_conjecture,(hd(esk49_0)=esk55_0|~ssList(app(nil,cons(esk56_0,app(nil,esk57_0))))),inference(cn,[status(thm)],[5638,theory(equality)])).
% cnf(6251,negated_conjecture,(hd(esk49_0)=esk58_0|~ssList(esk60_0)|~ssItem(esk59_0)),inference(spm,[status(thm)],[3000,111,theory(equality)])).
% cnf(6252,negated_conjecture,(hd(esk49_0)=esk58_0|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[6251,2362,theory(equality)])).
% cnf(6253,negated_conjecture,(hd(esk49_0)=esk58_0|$false|$false),inference(rw,[status(thm)],[6252,2350,theory(equality)])).
% cnf(6254,negated_conjecture,(hd(esk49_0)=esk58_0),inference(cn,[status(thm)],[6253,theory(equality)])).
% cnf(6261,negated_conjecture,(esk58_0=esk55_0|~ssList(app(nil,cons(esk56_0,app(nil,esk57_0))))),inference(rw,[status(thm)],[5639,6254,theory(equality)])).
% cnf(6284,negated_conjecture,(esk55_0=esk58_0|~ssList(app(nil,cons(esk56_0,esk57_0)))|~ssList(esk57_0)),inference(spm,[status(thm)],[6261,144,theory(equality)])).
% cnf(6287,negated_conjecture,(esk55_0=esk58_0|~ssList(app(nil,cons(esk56_0,esk57_0)))|$false),inference(rw,[status(thm)],[6284,2113,theory(equality)])).
% cnf(6288,negated_conjecture,(esk55_0=esk58_0|~ssList(app(nil,cons(esk56_0,esk57_0)))),inference(cn,[status(thm)],[6287,theory(equality)])).
% cnf(6291,negated_conjecture,(esk55_0=esk58_0|~ssList(cons(esk56_0,esk57_0))),inference(spm,[status(thm)],[6288,144,theory(equality)])).
% cnf(6295,negated_conjecture,(esk55_0=esk58_0|~ssList(esk57_0)|~ssItem(esk56_0)),inference(spm,[status(thm)],[6291,111,theory(equality)])).
% cnf(6296,negated_conjecture,(esk55_0=esk58_0|$false|~ssItem(esk56_0)),inference(rw,[status(thm)],[6295,2113,theory(equality)])).
% cnf(6297,negated_conjecture,(esk55_0=esk58_0|$false|$false),inference(rw,[status(thm)],[6296,2135,theory(equality)])).
% cnf(6298,negated_conjecture,(esk55_0=esk58_0),inference(cn,[status(thm)],[6297,theory(equality)])).
% cnf(6324,negated_conjecture,(cons(esk58_0,cons(esk56_0,esk57_0))=esk49_0),inference(rw,[status(thm)],[3597,6298,theory(equality)])).
% cnf(6336,negated_conjecture,(app(app(cons(esk56_0,nil),cons(esk58_0,nil)),esk57_0)=esk48_0),inference(rw,[status(thm)],[2444,6298,theory(equality)])).
% cnf(6375,negated_conjecture,(tl(esk49_0)=cons(esk56_0,esk57_0)|~ssList(cons(esk56_0,esk57_0))|~ssItem(esk58_0)),inference(spm,[status(thm)],[228,6324,theory(equality)])).
% cnf(6417,negated_conjecture,(tl(esk49_0)=cons(esk56_0,esk57_0)|~ssList(cons(esk56_0,esk57_0))|$false),inference(rw,[status(thm)],[6375,2338,theory(equality)])).
% cnf(6418,negated_conjecture,(tl(esk49_0)=cons(esk56_0,esk57_0)|~ssList(cons(esk56_0,esk57_0))),inference(cn,[status(thm)],[6417,theory(equality)])).
% cnf(10330,negated_conjecture,(tl(esk49_0)=cons(esk59_0,esk60_0)|~ssList(esk60_0)|~ssItem(esk59_0)),inference(spm,[status(thm)],[3002,111,theory(equality)])).
% cnf(10331,negated_conjecture,(tl(esk49_0)=cons(esk59_0,esk60_0)|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[10330,2362,theory(equality)])).
% cnf(10332,negated_conjecture,(tl(esk49_0)=cons(esk59_0,esk60_0)|$false|$false),inference(rw,[status(thm)],[10331,2350,theory(equality)])).
% cnf(10333,negated_conjecture,(tl(esk49_0)=cons(esk59_0,esk60_0)),inference(cn,[status(thm)],[10332,theory(equality)])).
% cnf(10362,negated_conjecture,(cons(esk59_0,esk60_0)=cons(esk56_0,esk57_0)|~ssList(cons(esk56_0,esk57_0))),inference(rw,[status(thm)],[6418,10333,theory(equality)])).
% cnf(10363,negated_conjecture,(cons(esk56_0,esk57_0)=cons(esk59_0,esk60_0)|~ssList(esk57_0)|~ssItem(esk56_0)),inference(spm,[status(thm)],[10362,111,theory(equality)])).
% cnf(10364,negated_conjecture,(cons(esk56_0,esk57_0)=cons(esk59_0,esk60_0)|$false|~ssItem(esk56_0)),inference(rw,[status(thm)],[10363,2113,theory(equality)])).
% cnf(10365,negated_conjecture,(cons(esk56_0,esk57_0)=cons(esk59_0,esk60_0)|$false|$false),inference(rw,[status(thm)],[10364,2135,theory(equality)])).
% cnf(10366,negated_conjecture,(cons(esk56_0,esk57_0)=cons(esk59_0,esk60_0)),inference(cn,[status(thm)],[10365,theory(equality)])).
% cnf(10374,negated_conjecture,(hd(cons(esk59_0,esk60_0))=esk56_0|~ssList(esk57_0)|~ssItem(esk56_0)),inference(spm,[status(thm)],[224,10366,theory(equality)])).
% cnf(10432,negated_conjecture,(hd(cons(esk59_0,esk60_0))=esk56_0|$false|~ssItem(esk56_0)),inference(rw,[status(thm)],[10374,2113,theory(equality)])).
% cnf(10433,negated_conjecture,(hd(cons(esk59_0,esk60_0))=esk56_0|$false|$false),inference(rw,[status(thm)],[10432,2135,theory(equality)])).
% cnf(10434,negated_conjecture,(hd(cons(esk59_0,esk60_0))=esk56_0),inference(cn,[status(thm)],[10433,theory(equality)])).
% cnf(10527,negated_conjecture,(esk56_0=esk59_0|~ssList(esk60_0)|~ssItem(esk59_0)),inference(spm,[status(thm)],[224,10434,theory(equality)])).
% cnf(10545,negated_conjecture,(esk56_0=esk59_0|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[10527,2362,theory(equality)])).
% cnf(10546,negated_conjecture,(esk56_0=esk59_0|$false|$false),inference(rw,[status(thm)],[10545,2350,theory(equality)])).
% cnf(10547,negated_conjecture,(esk56_0=esk59_0),inference(cn,[status(thm)],[10546,theory(equality)])).
% cnf(10551,negated_conjecture,(cons(esk59_0,esk57_0)=cons(esk59_0,esk60_0)),inference(rw,[status(thm)],[10366,10547,theory(equality)])).
% cnf(10584,negated_conjecture,(app(app(cons(esk59_0,nil),cons(esk58_0,nil)),esk57_0)=esk48_0),inference(rw,[status(thm)],[6336,10547,theory(equality)])).
% cnf(10620,negated_conjecture,(tl(cons(esk59_0,esk60_0))=esk57_0|~ssList(esk57_0)|~ssItem(esk59_0)),inference(spm,[status(thm)],[228,10551,theory(equality)])).
% cnf(10670,negated_conjecture,(tl(cons(esk59_0,esk60_0))=esk57_0|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[10620,2113,theory(equality)])).
% cnf(10671,negated_conjecture,(tl(cons(esk59_0,esk60_0))=esk57_0|$false|$false),inference(rw,[status(thm)],[10670,2350,theory(equality)])).
% cnf(10672,negated_conjecture,(tl(cons(esk59_0,esk60_0))=esk57_0),inference(cn,[status(thm)],[10671,theory(equality)])).
% cnf(13531,negated_conjecture,(esk57_0=esk60_0|~ssList(esk60_0)|~ssItem(esk59_0)),inference(spm,[status(thm)],[228,10672,theory(equality)])).
% cnf(13548,negated_conjecture,(esk57_0=esk60_0|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[13531,2362,theory(equality)])).
% cnf(13549,negated_conjecture,(esk57_0=esk60_0|$false|$false),inference(rw,[status(thm)],[13548,2350,theory(equality)])).
% cnf(13550,negated_conjecture,(esk57_0=esk60_0),inference(cn,[status(thm)],[13549,theory(equality)])).
% cnf(13603,negated_conjecture,(app(app(cons(esk59_0,nil),cons(esk58_0,nil)),esk60_0)=esk48_0),inference(rw,[status(thm)],[10584,13550,theory(equality)])).
% cnf(48213,negated_conjecture,(epred1_0|app(app(cons(esk59_0,nil),cons(esk58_0,nil)),esk60_0)!=esk48_0|~ssList(esk60_0)|~ssItem(esk58_0)|~ssItem(esk59_0)),inference(spm,[status(thm)],[1788,2374,theory(equality)])).
% cnf(48228,negated_conjecture,(epred1_0|$false|~ssList(esk60_0)|~ssItem(esk58_0)|~ssItem(esk59_0)),inference(rw,[status(thm)],[48213,13603,theory(equality)])).
% cnf(48229,negated_conjecture,(epred1_0|$false|$false|~ssItem(esk58_0)|~ssItem(esk59_0)),inference(rw,[status(thm)],[48228,2362,theory(equality)])).
% cnf(48230,negated_conjecture,(epred1_0|$false|$false|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[48229,2338,theory(equality)])).
% cnf(48231,negated_conjecture,(epred1_0|$false|$false|$false|$false),inference(rw,[status(thm)],[48230,2350,theory(equality)])).
% cnf(48232,negated_conjecture,(epred1_0),inference(cn,[status(thm)],[48231,theory(equality)])).
% cnf(48238,negated_conjecture,(~epred2_0|$false),inference(rw,[status(thm)],[1791,48232,theory(equality)])).
% cnf(48239,negated_conjecture,(~epred2_0),inference(cn,[status(thm)],[48238,theory(equality)])).
% cnf(48521,negated_conjecture,(~ssItem(X1)|~ssItem(X2)|~ssList(X3)|app(app(cons(X1,nil),cons(X2,nil)),X3)!=esk49_0),inference(sr,[status(thm)],[1790,48239,theory(equality)])).
% cnf(48538,negated_conjecture,(~ssList(esk60_0)|~ssItem(esk58_0)|~ssItem(esk59_0)),inference(spm,[status(thm)],[48521,2374,theory(equality)])).
% cnf(48553,negated_conjecture,($false|~ssItem(esk58_0)|~ssItem(esk59_0)),inference(rw,[status(thm)],[48538,2362,theory(equality)])).
% cnf(48554,negated_conjecture,($false|$false|~ssItem(esk59_0)),inference(rw,[status(thm)],[48553,2338,theory(equality)])).
% cnf(48555,negated_conjecture,($false|$false|$false),inference(rw,[status(thm)],[48554,2350,theory(equality)])).
% cnf(48556,negated_conjecture,($false),inference(cn,[status(thm)],[48555,theory(equality)])).
% cnf(48557,negated_conjecture,($false),48556,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 2673
% # ...of these trivial : 118
% # ...subsumed : 963
% # ...remaining for further processing: 1592
% # Other redundant clauses eliminated : 216
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 112
% # Backward-rewritten : 572
% # Generated clauses : 16876
% # ...of the previous two non-trivial : 15195
% # Contextual simplify-reflections : 669
% # Paramodulations : 16575
% # Factorizations : 0
% # Equation resolutions : 283
% # Current number of processed clauses: 886
% # Positive orientable unit clauses: 226
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 30
% # Non-unit-clauses : 630
% # Current number of unprocessed clauses: 7249
% # ...number of literals in the above : 42055
% # Clause-clause subsumption calls (NU) : 49565
% # Rec. Clause-clause subsumption calls : 35645
% # Unit Clause-clause subsumption calls : 2922
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 236
% # Indexed BW rewrite successes : 163
% # Backwards rewriting index: 788 leaves, 1.25+/-0.897 terms/leaf
% # Paramod-from index: 424 leaves, 1.05+/-0.238 terms/leaf
% # Paramod-into index: 707 leaves, 1.17+/-0.773 terms/leaf
% # -------------------------------------------------
% # User time : 0.978 s
% # System time : 0.029 s
% # Total time : 1.007 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.78 CPU 1.88 WC
% FINAL PrfWatch: 1.78 CPU 1.88 WC
% SZS output end Solution for /tmp/SystemOnTPTP27663/SWC413+1.tptp
%
%------------------------------------------------------------------------------